Subgroups — D₅₃×#3546 #28291723

Order 13568.

8046 conjugacy classes of subgroups.

The subgroup lattice has 2828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289090	C₂	1	1	yes	maximal, characteristic, complemented
2	#20289089	C₂	1	1	yes	maximal, characteristic, complemented
3	#20289088	C₂	1	1	yes	maximal, characteristic, complemented
4	#20289087	C₂	1	1	yes	maximal, characteristic, complemented
5	#20289086	C₂	1	2	yes	maximal, complemented
6	#20289085	C₂	1	2	yes	maximal, complemented
7	#20289084	C₂	1	2	yes	maximal, complemented
8	#20289083	C₂	1	1	yes	maximal, characteristic, complemented
9	#20289082	C₂	1	2	yes	maximal, complemented
10	#20289081	C₂	1	1	yes	maximal, characteristic, complemented
11	#20289080	C₂	1	4	yes	maximal, complemented
12	#20289079	C₂	1	2	yes	maximal, complemented
13	#20289078	C₂	1	4	yes	maximal, complemented
14	#20289077	C₂	1	2	yes	maximal, complemented
15	#20289076	C₂	1	2	yes	maximal, complemented
16	#20289075	C₂	1	1	yes	maximal, characteristic, complemented
17	#20289074	C₂	1	2	yes	maximal, complemented
18	#560×D₅₃	C₂	1	4	yes	maximal, complemented
19	#556×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
20	#553×D₅₃	C₂	1	2	yes	maximal, complemented
21	#550×D₅₃	C₂	1	2	yes	maximal, complemented
22	#550×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
23	#547×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
24	#546×D₅₃	C₂	1	2	yes	maximal, complemented
25	#546×D₅₃	C₂	1	2	yes	maximal, complemented
26	D₄²×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
27	#542×D₅₃	C₂	1	2	yes	maximal, complemented
28	#538×D₅₃	C₂	1	4	yes	maximal, complemented
29	#537×D₅₃	C₂	1	2	yes	maximal, complemented
30	#535×D₅₃	C₂	1	2	yes	maximal, complemented
31	#535×D₅₃	C₂	1	2	yes	maximal, complemented
32	#532×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
33	#532×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
34	#529×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
35	C₅₃×#3546	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
37	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
38	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
39	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
40	C₂²×D₄×D₅₃	C₂²	1	2	yes	—
41	C₂²×D₄×D₅₃	C₂²	1	2	yes	—
42	#16811364	C₂²	1	4	yes	complemented
43	#16811364	C₂²	1	4	yes	complemented
44	#16811363	C₂²	1	4	yes	complemented
45	#16811363	C₂²	1	4	yes	complemented
46	#16811363	C₂²	1	4	yes	complemented
47	#16811362	C₂²	1	4	yes	complemented
48	#16811362	C₂²	1	4	yes	complemented
49	#16811362	C₂²	1	4	yes	complemented
50	#16811361	C₂²	1	4	yes	complemented
51	#16811361	C₂²	1	4	yes	complemented
52	#16811361	C₂²	1	4	yes	complemented
53	#16811361	C₂²	1	4	yes	complemented
54	#16811361	C₂²	1	4	yes	complemented
55	#16811361	C₂²	1	4	yes	complemented
56	#16811360	C₂²	1	4	yes	complemented
57	#16811347	C₂²	1	1	yes	characteristic, complemented
58	#16811346	C₂²	1	1	yes	characteristic, complemented
59	#16811345	C₂²	1	2	yes	complemented
60	#16811344	C₂²	1	2	yes	complemented
61	#16811343	C₂²	1	1	yes	characteristic, complemented
62	#16811342	C₂²	1	2	yes	complemented
63	#16811341	C₂²	1	2	yes	complemented
64	#16811340	C₂²	1	4	yes	complemented
65	#16811326	C₂²	1	2	yes	complemented
66	#16811325	C₂²	1	2	yes	complemented
67	#16811324	C₂²	1	4	yes	complemented
68	#16811323	C₂²	1	2	yes	complemented
69	#16811322	C₂²	1	4	yes	complemented
70	#16811321	C₂²	1	2	yes	complemented
71	#16811320	C₂²	1	2	yes	complemented
72	#16811319	C₂²	1	2	yes	complemented
73	#16811318	C₂²	1	4	yes	complemented
74	#16811317	C₂²	1	2	yes	complemented
75	#16811316	C₂²	1	4	yes	complemented
76	#16811295	C₂²	1	2	yes	complemented
77	#16811295	C₂²	1	1	yes	characteristic, complemented
78	#16811294	C₂²	1	4	yes	complemented
79	#16811294	C₂²	1	2	yes	complemented
80	#16811294	C₂²	1	2	yes	complemented
81	#16811294	C₂²	1	1	yes	characteristic, complemented
82	#16811293	C₂²	1	1	yes	characteristic, complemented
83	#16811293	C₂²	1	2	yes	complemented
84	#16811293	C₂²	1	4	yes	complemented
85	#16811293	C₂²	1	2	yes	complemented
86	#16811292	C₂²	1	2	yes	complemented
87	#16811292	C₂²	1	2	yes	complemented
88	#16811292	C₂²	1	2	yes	complemented
89	#16811291	C₂²	1	2	yes	complemented
90	#16811291	C₂²	1	4	yes	complemented
91	#16811291	C₂²	1	4	yes	complemented
92	#16811291	C₂²	1	2	yes	complemented
93	#16811291	C₂²	1	4	yes	complemented
94	#16811291	C₂²	1	2	yes	complemented
95	#16811278	C₂²	1	1	yes	characteristic, complemented
96	#16811277	C₂²	1	1	yes	characteristic, complemented
97	#16811276	C₂²	1	1	yes	characteristic, complemented
98	#16811275	C₂²	1	2	yes	complemented
99	#16811274	C₂²	1	2	yes	complemented
100	#16811273	C₂²	1	2	yes	complemented
101	#16811272	C₂²	1	2	yes	complemented
102	#16811271	C₂²	1	4	yes	complemented
103	#16811270	C₂²	1	2	yes	complemented
104	#16811270	C₂²	1	2	yes	complemented
105	#16811269	C₂²	1	2	yes	complemented
106	#16811269	C₂²	1	2	yes	complemented
107	#16811268	C₂²	1	2	yes	complemented
108	#16811268	C₂²	1	2	yes	complemented
109	#16811267	C₂²	1	2	yes	complemented
110	#16811267	C₂²	1	2	yes	complemented
111	#16811266	C₂²	1	2	yes	complemented
112	#16811266	C₂²	1	2	yes	complemented
113	#16811265	C₂²	1	4	yes	complemented
114	#16811265	C₂²	1	4	yes	complemented
115	#16811264	C₂²	1	2	yes	complemented
116	#16811264	C₂²	1	2	yes	complemented
117	#16811263	C₂²	1	4	yes	complemented
118	#16811263	C₂²	1	4	yes	complemented
119	#16811262	C₂²	1	4	yes	complemented
120	#16811262	C₂²	1	4	yes	complemented
121	#16811261	C₂²	1	2	yes	complemented
122	#16811261	C₂²	1	2	yes	complemented
123	#16811260	C₂²	1	4	yes	complemented
124	#16811260	C₂²	1	4	yes	complemented
125	D₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
126	D₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
127	#16811258	C₂²	1	1	yes	characteristic, complemented
128	#16811257	C₂²	1	2	yes	complemented
129	#16811257	C₂²	1	2	yes	complemented
130	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
131	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
132	#16811255	C₂²	1	4	yes	complemented
133	#16811247	C₂²	1	2	yes	complemented
134	#16811246	C₂²	1	2	yes	complemented
135	#16811245	C₂²	1	2	yes	complemented
136	#16811244	C₂²	1	2	yes	complemented
137	#16811243	C₂²	1	4	yes	complemented
138	#16811242	C₂²	1	2	yes	complemented
139	#16811241	C₂²	1	4	yes	complemented
140	#16811240	C₂²	1	2	yes	complemented
141	#16811239	C₂²	1	4	yes	complemented
142	#16811238	C₂²	1	2	yes	complemented
143	#16811237	C₂²	1	4	yes	complemented
144	#16811213	C₂²	1	4	yes	complemented
145	#16811212	C₂²	1	4	yes	complemented
146	#16811212	C₂²	1	4	yes	complemented
147	#16811211	C₂²	1	4	yes	complemented
148	#16811210	C₂²	1	4	yes	complemented
149	#16811209	C₂²	1	4	yes	complemented
150	#16811209	C₂²	1	4	yes	complemented
151	#16811208	C₂²	1	4	yes	complemented
152	#16811208	C₂²	1	4	yes	complemented
153	#16811207	C₂²	1	4	yes	complemented
154	#16811207	C₂²	1	4	yes	complemented
155	#16811206	C₂²	1	4	yes	complemented
156	#16811206	C₂²	1	4	yes	complemented
157	#16811205	C₂²	1	4	yes	complemented
158	#16811205	C₂²	1	4	yes	complemented
159	#16811204	C₂²	1	2	yes	complemented
160	#16811203	C₂²	1	4	yes	complemented
161	#16811203	C₂²	1	2	yes	complemented
162	#16811203	C₂²	1	2	yes	complemented
163	#16811202	C₂²	1	2	yes	complemented
164	#16811202	C₂²	1	2	yes	complemented
165	#16811202	C₂²	1	4	yes	complemented
166	#16811201	C₂²	1	2	yes	complemented
167	#16811201	C₂²	1	2	yes	complemented
168	#16811200	C₂²	1	4	yes	complemented
169	#16811200	C₂²	1	4	yes	complemented
170	#16811192	C₂²	1	2	yes	complemented
171	#16811192	C₂²	1	2	yes	complemented
172	#16811191	C₂²	1	2	yes	complemented
173	#16811191	C₂²	1	4	yes	complemented
174	#16811191	C₂²	1	2	yes	complemented
175	#16811190	C₂²	1	2	yes	complemented
176	#16811190	C₂²	1	2	yes	complemented
177	#16811189	C₂²	1	2	yes	complemented
178	#16811189	C₂²	1	2	yes	complemented
179	#16811189	C₂²	1	2	yes	complemented
180	#16811189	C₂²	1	2	yes	complemented
181	#16811189	C₂²	1	4	yes	complemented
182	#16811189	C₂²	1	4	yes	complemented
183	#16811188	C₂²	1	4	yes	complemented
184	#16811188	C₂²	1	4	yes	complemented
185	#16811188	C₂²	1	4	yes	complemented
186	#16811188	C₂²	1	4	yes	complemented
187	#16811187	C₂²	1	2	yes	complemented
188	#16811187	C₂²	1	2	yes	complemented
189	#16811186	C₂²	1	2	yes	complemented
190	#16811186	C₂²	1	4	yes	complemented
191	#16811186	C₂²	1	2	yes	complemented
192	#16811174	C₂²	1	1	yes	characteristic, complemented
193	#16811174	C₂²	1	1	yes	characteristic, complemented
194	#16811173	C₂²	1	1	yes	characteristic, complemented
195	#16811173	C₂²	1	1	yes	characteristic, complemented
196	#16811172	C₂²	1	2	yes	complemented
197	#16811172	C₂²	1	2	yes	complemented
198	#16811171	C₂²	1	1	yes	characteristic, complemented
199	#16811171	C₂²	1	1	yes	characteristic, complemented
200	#16811170	C₂²	1	1	yes	characteristic, complemented
201	#16811170	C₂²	1	2	yes	complemented
202	#16811170	C₂²	1	1	yes	characteristic, complemented
203	#16811170	C₂²	1	2	yes	complemented
204	#16811170	C₂²	1	2	yes	complemented
205	#16811169	C₂²	1	2	yes	complemented
206	#16811169	C₂²	1	2	yes	complemented
207	#16811168	C₂²	1	1	yes	characteristic, complemented
208	#16811168	C₂²	1	2	yes	complemented
209	#16811168	C₂²	1	1	yes	characteristic, complemented
210	#16811168	C₂²	1	2	yes	complemented
211	#16811168	C₂²	1	2	yes	complemented
212	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
213	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
214	#127×D₅₃	C₂²	1	1	yes	characteristic
215	#127×D₅₃	C₂²	1	1	yes	characteristic
216	#127×D₅₃	C₂²	1	4	yes	complemented
217	#127×D₅₃	C₂²	1	2	yes	complemented
218	#16811160	C₂²	1	1	yes	characteristic, complemented
219	#16811159	C₂²	1	1	yes	characteristic, complemented
220	#16811158	C₂²	1	1	yes	characteristic, complemented
221	#16811157	C₂²	1	1	yes	characteristic, complemented
222	#16811156	C₂²	1	2	yes	complemented
223	#16811155	C₂²	1	1	yes	characteristic, complemented
224	#16811154	C₂²	1	1	yes	characteristic, complemented
225	#16811153	C₂²	1	2	yes	complemented
226	#16811152	C₂²	1	1	yes	characteristic, complemented
227	#16811151	C₂²	1	2	yes	complemented
228	#16811150	C₂²	1	2	yes	complemented
229	#126×D₅₃	C₂²	1	4	yes	complemented
230	#126×D₅₃	C₂²	1	2	yes	complemented
231	#126×D₅₃	C₂²	1	4	yes	complemented
232	#125×D₅₃	C₂²	1	1	yes	characteristic, complemented
233	#124×D₅₃	C₂²	1	2	yes	—
234	#124×D₅₃	C₂²	1	1	yes	characteristic
235	#124×D₅₃	C₂²	1	4	yes	complemented
236	#124×D₅₃	C₂²	1	2	yes	complemented
237	#124×D₅₃	C₂²	1	2	yes	complemented
238	#123×D₅₃	C₂²	1	4	yes	complemented
239	#123×D₅₃	C₂²	1	4	yes	complemented
240	#123×D₅₃	C₂²	1	2	yes	complemented
241	#123×D₅₃	C₂²	1	4	yes	complemented
242	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
243	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
244	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
245	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
246	#121×D₅₃	C₂²	1	1	yes	characteristic
247	#121×D₅₃	C₂²	1	2	yes	—
248	#121×D₅₃	C₂²	1	2	yes	—
249	#121×D₅₃	C₂²	1	2	yes	—
250	#121×D₅₃	C₂²	1	1	yes	characteristic
251	#121×D₅₃	C₂²	1	4	yes	complemented
252	#121×D₅₃	C₂²	1	2	yes	complemented
253	#121×D₅₃	C₂²	1	4	yes	complemented
254	#121×D₅₃	C₂²	1	2	yes	complemented
255	#121×D₅₃	C₂²	1	4	yes	complemented
256	#121×D₅₃	C₂²	1	4	yes	complemented
257	#121×D₅₃	C₂²	1	4	yes	complemented
258	#121×D₅₃	C₂²	1	4	yes	complemented
259	#121×D₅₃	C₂²	1	2	yes	complemented
260	#121×D₅₃	C₂²	1	2	yes	complemented
261	#121×D₅₃	C₂²	1	1	yes	characteristic, complemented
262	#120×D₅₃	C₂²	1	4	yes	—
263	#120×D₅₃	C₂²	1	4	yes	complemented
264	#120×D₅₃	C₂²	1	4	yes	complemented
265	#120×D₅₃	C₂²	1	4	yes	complemented
266	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
267	C₄×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
268	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
269	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
270	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
271	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
272	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
273	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
274	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
275	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
276	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
277	#117×D₅₃	C₂²	1	2	yes	complemented
278	#117×D₅₃	C₂²	1	2	yes	complemented
279	C₂×C₄⋊C₄×D₅₃	C₂²	1	2	yes	complemented
280	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	complemented
281	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
282	C₅₃×#560	C₂²	1	4	yes	complemented
283	C₅₃×#556	C₂²	1	1	yes	characteristic, complemented
284	C₅₃×#553	C₂²	1	2	yes	complemented
285	C₅₃×#550	C₂²	1	2	yes	complemented
286	C₅₃×#550	C₂²	1	1	yes	characteristic, complemented
287	C₅₃×#547	C₂²	1	1	yes	characteristic, complemented
288	C₅₃×#546	C₂²	1	2	yes	complemented
289	C₅₃×#546	C₂²	1	2	yes	complemented
290	D₄²×C₅₃	C₂²	1	1	yes	characteristic, complemented
291	C₅₃×#542	C₂²	1	2	yes	complemented
292	C₅₃×#538	C₂²	1	4	yes	complemented
293	C₅₃×#537	C₂²	1	2	yes	complemented
294	C₅₃×#535	C₂²	1	2	yes	complemented
295	C₅₃×#535	C₂²	1	2	yes	complemented
296	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
297	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
298	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
299	C₂⁴×D₅₃	C₂³	1	4	yes	—
300	C₂×#11719949	C₂³	1	2	yes	complemented
301	C₂×#11719949	C₂³	1	2	yes	complemented
302	C₂×#11719949	C₂³	1	2	yes	complemented
303	C₂×#11719949	C₂³	1	2	yes	complemented
304	C₂×#11719945	C₂³	1	4	yes	complemented
305	C₂×#11719945	C₂³	1	4	yes	complemented
306	C₂×#11719945	C₂³	1	2	yes	complemented
307	C₂×#11719945	C₂³	1	2	yes	complemented
308	C₂×#11719945	C₂³	1	4	yes	complemented
309	C₂×#11719945	C₂³	1	2	yes	complemented
310	C₂×#11719945	C₂³	1	2	yes	complemented
311	C₂×#11719945	C₂³	1	2	yes	complemented
312	C₂×#11719945	C₂³	1	2	yes	complemented
313	C₂×#11719947	C₂³	1	2	yes	complemented
314	C₂×#11719947	C₂³	1	2	yes	complemented
315	C₂×#11719947	C₂³	1	4	yes	complemented
316	C₂×#11719947	C₂³	1	2	yes	complemented
317	C₂×#11719947	C₂³	1	4	yes	complemented
318	C₂×#11719947	C₂³	1	4	yes	complemented
319	C₂×#11719947	C₂³	1	2	yes	complemented
320	C₂×#11719947	C₂³	1	2	yes	complemented
321	C₂×#11719947	C₂³	1	2	yes	complemented
322	#41×D₅₃	—	4	8	no	—
323	#41×D₅₃	—	4	8	no	—
324	#41×D₅₃	—	4	8	no	—
325	#41×D₅₃	—	4	8	no	—
326	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
327	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
328	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
329	C₂²×D₂₁₂	C₂³	1	2	yes	—
330	C₂²×D₂₁₂	C₂³	1	2	yes	—
331	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
332	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
333	C₂×D₄×D₅₃	—	4	8	no	—
334	C₂×D₄×D₅₃	—	4	8	no	—
335	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
336	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
337	C₂×D₄×D₅₃	C₂³	1	2	yes	—
338	C₂×D₄×D₅₃	C₂³	1	2	yes	—
339	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
340	C₂×D₄×D₅₃	C₂³	1	4	yes	—
341	C₂×D₄×D₅₃	C₂³	1	4	yes	—
342	C₂×D₄×D₅₃	C₂³	1	2	yes	—
343	C₂×D₄×D₅₃	C₂³	1	2	yes	—
344	C₂×D₄×D₅₃	C₂³	1	2	yes	—
345	C₂×D₄×D₅₃	C₂³	1	2	yes	—
346	C₂×D₄×D₅₃	C₂³	1	2	yes	—
347	C₂×D₄×D₅₃	C₂³	1	2	yes	—
348	C₂×D₄×D₅₃	C₂³	1	2	yes	—
349	C₂×D₄×D₅₃	C₂³	1	4	yes	—
350	C₂×D₄×D₅₃	C₂³	1	4	yes	—
351	C₂×D₄×D₅₃	C₂³	1	4	yes	—
352	C₂×D₄×D₅₃	C₂³	1	2	yes	—
353	C₂×D₄×D₅₃	C₂³	1	4	yes	—
354	C₂×D₄×D₅₃	C₂³	1	2	yes	—
355	C₂×D₄×D₅₃	C₂³	1	4	yes	—
356	C₂×D₄×D₅₃	C₂³	1	4	yes	—
357	C₂×D₄×D₅₃	C₂³	1	2	yes	—
358	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
359	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
360	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
361	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
362	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
363	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
364	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
365	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
366	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
367	#13133217	C₂³	1	1	yes	characteristic, complemented
368	#13133217	C₂³	1	1	yes	characteristic, complemented
369	#13133216	C₂³	1	2	yes	complemented
370	#13133216	C₂³	1	2	yes	complemented
371	#13133216	C₂³	1	1	yes	characteristic, complemented
372	#13133216	C₂³	1	2	yes	complemented
373	#13133216	C₂³	1	1	yes	characteristic, complemented
374	#13133215	C₂³	1	2	yes	complemented
375	#13133215	C₂³	1	2	yes	complemented
376	#13133214	C₂³	1	1	yes	characteristic
377	#13133214	C₂³	1	1	yes	characteristic
378	#13133214	C₂³	1	2	yes	complemented
379	#13133214	C₂³	1	4	yes	complemented
380	#13133213	C₂³	1	2	yes	—
381	#13133213	C₂³	1	2	yes	—
382	#13133213	C₂³	1	2	yes	—
383	#13133213	C₂³	1	1	yes	characteristic
384	#13133213	C₂³	1	2	yes	—
385	#13133213	C₂³	1	1	yes	characteristic
386	#13133213	C₂³	1	2	yes	—
387	#13133213	C₂³	1	4	yes	complemented
388	#13133213	C₂³	1	4	yes	complemented
389	#13133213	C₂³	1	4	yes	complemented
390	#13133213	C₂³	1	4	yes	complemented
391	#13133213	C₂³	1	2	yes	complemented
392	#13133213	C₂³	1	2	yes	complemented
393	#13133213	C₂³	1	4	yes	complemented
394	#13133213	C₂³	1	4	yes	complemented
395	#13133213	C₂³	1	4	yes	complemented
396	#13133213	C₂³	1	4	yes	complemented
397	#13133212	C₂³	1	4	yes	complemented
398	#13133212	C₂³	1	4	yes	complemented
399	#13133212	C₂³	1	4	yes	complemented
400	#13133212	C₂³	1	4	yes	complemented
401	#13133212	C₂³	1	4	yes	complemented
402	#13133212	C₂³	1	4	yes	complemented
403	#13133212	C₂³	1	2	yes	complemented
404	#13133212	C₂³	1	2	yes	complemented
405	#13133212	C₂³	1	2	yes	complemented
406	#13133211	C₂³	1	4	yes	complemented
407	#13133211	C₂³	1	4	yes	complemented
408	#13133211	C₂³	1	2	yes	complemented
409	#13133210	C₂³	1	4	yes	complemented
410	#13133210	C₂³	1	4	yes	complemented
411	#13133210	C₂³	1	4	yes	complemented
412	#13133210	C₂³	1	4	yes	complemented
413	#13133210	C₂³	1	4	yes	complemented
414	#13133210	C₂³	1	4	yes	complemented
415	#13133210	C₂³	1	2	yes	complemented
416	#13133210	C₂³	1	2	yes	complemented
417	#13133210	C₂³	1	2	yes	complemented
418	#13133209	C₂³	1	1	yes	characteristic, complemented
419	#13133208	C₂³	1	1	yes	characteristic, complemented
420	#13133208	C₂³	1	1	yes	characteristic, complemented
421	#13133207	C₂³	1	2	yes	complemented
422	#13133207	C₂³	1	2	yes	complemented
423	#13133206	C₂³	1	1	yes	characteristic
424	#13133206	C₂³	1	2	yes	—
425	#13133206	C₂³	1	2	yes	complemented
426	#13133206	C₂³	1	2	yes	complemented
427	#13133206	C₂³	1	4	yes	complemented
428	#13133205	C₂³	1	1	yes	characteristic
429	#13133205	C₂³	1	2	yes	—
430	#13133205	C₂³	1	2	yes	complemented
431	#13133205	C₂³	1	2	yes	complemented
432	#13133205	C₂³	1	4	yes	complemented
433	#13133204	C₂³	1	1	yes	characteristic
434	#13133204	C₂³	1	2	yes	—
435	#13133204	C₂³	1	2	yes	complemented
436	#13133204	C₂³	1	2	yes	complemented
437	#13133204	C₂³	1	4	yes	complemented
438	#13133203	C₂³	1	2	yes	—
439	#13133203	C₂³	1	4	yes	—
440	#13133203	C₂³	1	4	yes	—
441	#13133203	C₂³	1	2	yes	—
442	#13133203	C₂³	1	4	yes	complemented
443	#13133203	C₂³	1	4	yes	complemented
444	#13133203	C₂³	1	2	yes	complemented
445	#13133203	C₂³	1	2	yes	complemented
446	#13133203	C₂³	1	2	yes	complemented
447	#13133203	C₂³	1	2	yes	complemented
448	#13133203	C₂³	1	4	yes	complemented
449	#13133203	C₂³	1	4	yes	complemented
450	#13133203	C₂³	1	4	yes	complemented
451	#13133203	C₂³	1	4	yes	complemented
452	#13133202	C₂³	1	4	yes	complemented
453	#13133202	C₂³	1	4	yes	complemented
454	#13133202	C₂³	1	4	yes	complemented
455	#13133202	C₂³	1	4	yes	complemented
456	#13133202	C₂³	1	4	yes	complemented
457	#13133202	C₂³	1	4	yes	complemented
458	#13133202	C₂³	1	2	yes	complemented
459	#13133202	C₂³	1	2	yes	complemented
460	#13133201	C₂³	1	4	yes	complemented
461	#13133201	C₂³	1	4	yes	complemented
462	#13133201	C₂³	1	4	yes	complemented
463	#13133201	C₂³	1	2	yes	complemented
464	#13133200	C₂³	1	4	yes	complemented
465	#13133200	C₂³	1	4	yes	complemented
466	#13133200	C₂³	1	2	yes	complemented
467	#13133200	C₂³	1	4	yes	complemented
468	#13133199	C₂³	1	4	yes	complemented
469	#13133199	C₂³	1	4	yes	complemented
470	#13133199	C₂³	1	4	yes	complemented
471	#13133199	C₂³	1	4	yes	complemented
472	#13133199	C₂³	1	4	yes	complemented
473	#13133199	C₂³	1	4	yes	complemented
474	#13133199	C₂³	1	2	yes	complemented
475	#13133199	C₂³	1	2	yes	complemented
476	#13133198	C₂³	1	4	yes	complemented
477	#13133198	C₂³	1	4	yes	complemented
478	#13133198	C₂³	1	4	yes	complemented
479	#13133198	C₂³	1	2	yes	complemented
480	#13133197	C₂³	1	2	yes	complemented
481	#13133197	C₂³	1	2	yes	complemented
482	#13133197	C₂³	1	1	yes	characteristic, complemented
483	#13133197	C₂³	1	4	yes	complemented
484	#13133196	C₂³	1	2	yes	complemented
485	#13133196	C₂³	1	2	yes	complemented
486	#13133196	C₂³	1	1	yes	characteristic, complemented
487	#13133196	C₂³	1	4	yes	complemented
488	#13133195	C₂³	1	4	yes	complemented
489	#13133195	C₂³	1	4	yes	complemented
490	#13133195	C₂³	1	2	yes	complemented
491	#13133195	C₂³	1	4	yes	complemented
492	#13133195	C₂³	1	4	yes	complemented
493	#13133194	C₂³	1	4	yes	complemented
494	#13133194	C₂³	1	4	yes	complemented
495	#13133194	C₂³	1	2	yes	complemented
496	#13133194	C₂³	1	4	yes	complemented
497	#13133194	C₂³	1	4	yes	complemented
498	#13133193	C₂³	1	2	yes	complemented
499	#13133193	C₂³	1	2	yes	complemented
500	#13133193	C₂³	1	1	yes	characteristic, complemented
501	#13133193	C₂³	1	4	yes	complemented
502	#13133192	C₂³	1	1	yes	characteristic
503	#13133192	C₂³	1	2	yes	—
504	#13133192	C₂³	1	2	yes	—
505	#13133192	C₂³	1	2	yes	—
506	#13133192	C₂³	1	1	yes	characteristic
507	#13133192	C₂³	1	4	yes	complemented
508	#13133192	C₂³	1	4	yes	complemented
509	#13133192	C₂³	1	1	yes	characteristic, complemented
510	#13133192	C₂³	1	2	yes	complemented
511	#13133192	C₂³	1	4	yes	complemented
512	#13133192	C₂³	1	4	yes	complemented
513	#13133192	C₂³	1	4	yes	complemented
514	#13133192	C₂³	1	2	yes	complemented
515	#13133192	C₂³	1	2	yes	complemented
516	#13133192	C₂³	1	2	yes	complemented
517	#13133192	C₂³	1	4	yes	complemented
518	#13133191	C₂³	1	1	yes	characteristic
519	#13133191	C₂³	1	2	yes	—
520	#13133191	C₂³	1	2	yes	—
521	#13133191	C₂³	1	2	yes	—
522	#13133191	C₂³	1	1	yes	characteristic
523	#13133191	C₂³	1	4	yes	complemented
524	#13133191	C₂³	1	4	yes	complemented
525	#13133191	C₂³	1	1	yes	characteristic, complemented
526	#13133191	C₂³	1	2	yes	complemented
527	#13133191	C₂³	1	4	yes	complemented
528	#13133191	C₂³	1	4	yes	complemented
529	#13133191	C₂³	1	4	yes	complemented
530	#13133191	C₂³	1	2	yes	complemented
531	#13133191	C₂³	1	2	yes	complemented
532	#13133191	C₂³	1	2	yes	complemented
533	#13133191	C₂³	1	4	yes	complemented
534	#13133190	C₂³	1	2	yes	—
535	#13133190	C₂³	1	4	yes	—
536	#13133190	C₂³	1	4	yes	—
537	#13133190	C₂³	1	4	yes	—
538	#13133190	C₂³	1	2	yes	—
539	#13133190	C₂³	1	4	yes	complemented
540	#13133190	C₂³	1	4	yes	complemented
541	#13133190	C₂³	1	4	yes	complemented
542	#13133190	C₂³	1	4	yes	complemented
543	#13133190	C₂³	1	2	yes	complemented
544	#13133190	C₂³	1	4	yes	complemented
545	#13133190	C₂³	1	4	yes	complemented
546	#13133190	C₂³	1	4	yes	complemented
547	#13133190	C₂³	1	4	yes	complemented
548	#13133190	C₂³	1	4	yes	complemented
549	#13133190	C₂³	1	4	yes	complemented
550	#13133190	C₂³	1	4	yes	complemented
551	#13133190	C₂³	1	2	yes	complemented
552	#13133190	C₂³	1	4	yes	complemented
553	#13133190	C₂³	1	2	yes	complemented
554	#13133190	C₂³	1	4	yes	complemented
555	#13133190	C₂³	1	4	yes	complemented
556	#13133190	C₂³	1	4	yes	complemented
557	#13133189	C₂³	1	4	yes	—
558	#13133189	C₂³	1	4	yes	—
559	#13133189	C₂³	1	4	yes	—
560	#13133189	C₂³	1	2	yes	—
561	#13133189	C₂³	1	2	yes	—
562	#13133189	C₂³	1	4	yes	complemented
563	#13133189	C₂³	1	4	yes	complemented
564	#13133189	C₂³	1	2	yes	complemented
565	#13133189	C₂³	1	4	yes	complemented
566	#13133189	C₂³	1	4	yes	complemented
567	#13133189	C₂³	1	4	yes	complemented
568	#13133189	C₂³	1	4	yes	complemented
569	#13133189	C₂³	1	4	yes	complemented
570	#13133189	C₂³	1	4	yes	complemented
571	#13133189	C₂³	1	4	yes	complemented
572	#13133189	C₂³	1	4	yes	complemented
573	#13133189	C₂³	1	2	yes	complemented
574	#13133189	C₂³	1	4	yes	complemented
575	#13133189	C₂³	1	4	yes	complemented
576	#13133189	C₂³	1	2	yes	complemented
577	#13133189	C₂³	1	4	yes	complemented
578	#13133189	C₂³	1	4	yes	complemented
579	#13133189	C₂³	1	4	yes	complemented
580	#13133188	C₂³	1	1	yes	characteristic
581	#13133188	C₂³	1	2	yes	—
582	#13133188	C₂³	1	2	yes	—
583	#13133188	C₂³	1	2	yes	—
584	#13133188	C₂³	1	1	yes	characteristic
585	#13133188	C₂³	1	4	yes	complemented
586	#13133188	C₂³	1	4	yes	complemented
587	#13133188	C₂³	1	1	yes	characteristic, complemented
588	#13133188	C₂³	1	2	yes	complemented
589	#13133188	C₂³	1	4	yes	complemented
590	#13133188	C₂³	1	4	yes	complemented
591	#13133188	C₂³	1	4	yes	complemented
592	#13133188	C₂³	1	2	yes	complemented
593	#13133188	C₂³	1	2	yes	complemented
594	#13133188	C₂³	1	2	yes	complemented
595	#13133188	C₂³	1	4	yes	complemented
596	#13133187	C₂³	1	4	yes	—
597	#13133187	C₂³	1	4	yes	—
598	#13133187	C₂³	1	4	yes	—
599	#13133187	C₂³	1	4	yes	complemented
600	#13133187	C₂³	1	4	yes	complemented
601	#13133187	C₂³	1	4	yes	complemented
602	#13133187	C₂³	1	4	yes	complemented
603	#13133187	C₂³	1	4	yes	complemented
604	#13133187	C₂³	1	4	yes	complemented
605	#13133187	C₂³	1	4	yes	complemented
606	#13133187	C₂³	1	4	yes	complemented
607	#13133187	C₂³	1	4	yes	complemented
608	#13133186	C₂³	1	4	yes	—
609	#13133186	C₂³	1	4	yes	complemented
610	#13133186	C₂³	1	4	yes	complemented
611	#13133186	C₂³	1	4	yes	complemented
612	#13133185	C₂³	1	4	yes	—
613	#13133185	C₂³	1	4	yes	—
614	#13133185	C₂³	1	4	yes	—
615	#13133185	C₂³	1	4	yes	complemented
616	#13133185	C₂³	1	4	yes	complemented
617	#13133185	C₂³	1	4	yes	complemented
618	#13133185	C₂³	1	4	yes	complemented
619	#13133185	C₂³	1	4	yes	complemented
620	#13133185	C₂³	1	4	yes	complemented
621	#13133185	C₂³	1	4	yes	complemented
622	#13133185	C₂³	1	4	yes	complemented
623	#13133185	C₂³	1	4	yes	complemented
624	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
625	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
626	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
627	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
628	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
629	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
630	#13133182	C₂³	1	2	yes	complemented
631	#13133182	C₂³	1	4	yes	complemented
632	#13133182	C₂³	1	1	yes	characteristic, complemented
633	#13133182	C₂³	1	2	yes	complemented
634	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
635	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
636	C₄×D₂₁₂	C₂³	1	2	yes	complemented
637	C₄×D₂₁₂	C₂³	1	2	yes	complemented
638	C₄×D₂₁₂	C₂³	1	2	yes	complemented
639	C₄×D₂₁₂	C₂³	1	2	yes	complemented
640	C₄×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
641	C₄×D₂₁₂	C₂³	1	4	yes	complemented
642	C₄×D₂₁₂	C₂³	1	2	yes	complemented
643	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
644	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
645	D₄×Dic₅₃	C₂³	1	2	yes	complemented
646	D₄×Dic₅₃	C₂³	1	2	yes	complemented
647	D₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
648	D₄×Dic₅₃	C₂³	1	4	yes	complemented
649	D₄×Dic₅₃	C₂³	1	2	yes	complemented
650	D₄×Dic₅₃	C₂³	1	2	yes	complemented
651	D₄×Dic₅₃	C₂³	1	2	yes	complemented
652	#13133179	C₂³	1	1	yes	characteristic
653	#13133179	C₂³	1	1	yes	characteristic
654	#13133179	C₂³	1	2	yes	complemented
655	#13133179	C₂³	1	2	yes	complemented
656	#13133179	C₂³	1	2	yes	complemented
657	#13133179	C₂³	1	2	yes	complemented
658	#13133179	C₂³	1	1	yes	characteristic, complemented
659	#13133179	C₂³	1	4	yes	complemented
660	#13133179	C₂³	1	2	yes	complemented
661	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
662	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
663	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
664	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
665	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
666	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
667	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
668	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
669	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
670	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
671	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
672	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
673	#13133177	C₂³	1	2	yes	—
674	#13133177	C₂³	1	2	yes	—
675	#13133177	C₂³	1	4	yes	complemented
676	#13133177	C₂³	1	4	yes	complemented
677	#13133177	C₂³	1	2	yes	complemented
678	#13133177	C₂³	1	4	yes	complemented
679	#13133177	C₂³	1	4	yes	complemented
680	#13133177	C₂³	1	2	yes	complemented
681	#13133177	C₂³	1	2	yes	complemented
682	#13133177	C₂³	1	2	yes	complemented
683	#13133177	C₂³	1	2	yes	complemented
684	#13133177	C₂³	1	4	yes	complemented
685	#13133176	C₂³	1	2	yes	complemented
686	#13133176	C₂³	1	2	yes	complemented
687	#13133175	C₂³	1	2	yes	complemented
688	#13133175	C₂³	1	2	yes	complemented
689	#13133175	C₂³	1	2	yes	complemented
690	#13133175	C₂³	1	2	yes	complemented
691	#13133174	C₂³	1	4	yes	complemented
692	#13133174	C₂³	1	2	yes	complemented
693	#13133174	C₂³	1	2	yes	complemented
694	#13133173	C₂³	1	4	yes	complemented
695	#13133173	C₂³	1	2	yes	complemented
696	#13133173	C₂³	1	2	yes	complemented
697	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
698	C₂×#11719919	C₂³	1	4	yes	complemented
699	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
700	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
701	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
702	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
703	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
704	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
705	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
706	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
707	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
708	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
709	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
710	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
711	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
712	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
713	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
714	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
715	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
716	C₂×#11719921	C₂³	1	4	yes	complemented
717	C₂×#11719921	C₂³	1	4	yes	complemented
718	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
719	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
720	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
721	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
722	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
723	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
724	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
725	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
726	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
727	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
728	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
729	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
730	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
731	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
732	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
733	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
734	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
735	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
736	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
737	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
738	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
739	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
740	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
741	C₄²×D₅₃	C₂³	1	1	yes	characteristic
742	C₄²×D₅₃	C₂³	1	1	yes	characteristic
743	C₄²×D₅₃	C₂³	1	1	yes	characteristic
744	C₄²×D₅₃	C₂³	1	1	yes	characteristic
745	C₄²×D₅₃	C₂³	1	2	yes	—
746	C₄²×D₅₃	C₂³	1	4	yes	—
747	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
748	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
749	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
750	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
751	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
752	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
753	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
754	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
755	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
756	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
757	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
758	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
759	#127×C₅₃	C₂³	1	1	yes	characteristic
760	#127×C₅₃	C₂³	1	1	yes	characteristic
761	#127×C₅₃	C₂³	1	2	yes	complemented
762	#127×C₅₃	C₂³	1	4	yes	complemented
763	#126×C₅₃	C₂³	1	2	yes	complemented
764	#126×C₅₃	C₂³	1	4	yes	complemented
765	#126×C₅₃	C₂³	1	4	yes	complemented
766	#125×C₅₃	C₂³	1	1	yes	characteristic, complemented
767	#124×C₅₃	C₂³	1	1	yes	characteristic
768	#124×C₅₃	C₂³	1	2	yes	—
769	#124×C₅₃	C₂³	1	2	yes	complemented
770	#124×C₅₃	C₂³	1	2	yes	complemented
771	#124×C₅₃	C₂³	1	4	yes	complemented
772	#123×C₅₃	C₂³	1	4	yes	complemented
773	#123×C₅₃	C₂³	1	4	yes	complemented
774	#123×C₅₃	C₂³	1	4	yes	complemented
775	#123×C₅₃	C₂³	1	2	yes	complemented
776	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
777	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
778	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
779	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
780	#121×C₅₃	C₂³	1	1	yes	characteristic
781	#121×C₅₃	C₂³	1	2	yes	—
782	#121×C₅₃	C₂³	1	2	yes	—
783	#121×C₅₃	C₂³	1	1	yes	characteristic
784	#121×C₅₃	C₂³	1	2	yes	—
785	#121×C₅₃	C₂³	1	1	yes	characteristic, complemented
786	#121×C₅₃	C₂³	1	2	yes	complemented
787	#121×C₅₃	C₂³	1	4	yes	complemented
788	#121×C₅₃	C₂³	1	4	yes	complemented
789	#121×C₅₃	C₂³	1	4	yes	complemented
790	#121×C₅₃	C₂³	1	2	yes	complemented
791	#121×C₅₃	C₂³	1	2	yes	complemented
792	#121×C₅₃	C₂³	1	2	yes	complemented
793	#121×C₅₃	C₂³	1	4	yes	complemented
794	#121×C₅₃	C₂³	1	4	yes	complemented
795	#121×C₅₃	C₂³	1	4	yes	complemented
796	#120×C₅₃	C₂³	1	4	yes	—
797	#120×C₅₃	C₂³	1	4	yes	complemented
798	#120×C₅₃	C₂³	1	4	yes	complemented
799	#120×C₅₃	C₂³	1	4	yes	complemented
800	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
801	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
802	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
803	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
804	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
805	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
806	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
807	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
808	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
809	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
810	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
811	#117×C₅₃	C₂³	1	2	yes	complemented
812	#117×C₅₃	C₂³	1	2	yes	complemented
813	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
814	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
815	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
816	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
817	C₂³×D₅₃	—	4	8	no	—
818	C₂³×D₅₃	—	4	8	no	—
819	C₂³×D₅₃	—	4	8	no	—
820	C₂³×D₅₃	C₂⁴	1	2	yes	—
821	C₂³×D₅₃	C₂⁴	1	2	yes	—
822	C₂³×D₅₃	C₂⁴	1	4	yes	—
823	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
824	C₂³×D₅₃	C₂⁴	1	2	yes	—
825	C₂³×D₅₃	C₂⁴	1	4	yes	—
826	C₂³×D₅₃	C₂⁴	1	4	yes	—
827	C₂³×D₅₃	C₂⁴	1	4	yes	—
828	#41×C₅₃	—	4	4	no	—
829	#41×C₅₃	—	4	4	no	—
830	#41×C₅₃	—	4	4	no	—
831	#41×C₅₃	—	4	4	no	—
832	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
833	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
834	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
835	C₂×D₄×C₅₃	—	4	4	no	—
836	C₂×D₄×C₅₃	—	4	4	no	—
837	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
838	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
839	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
840	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
841	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
842	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
843	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
844	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
845	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
846	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
847	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
848	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
849	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
850	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
851	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
852	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
853	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
854	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
855	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
856	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
857	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
858	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
859	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
860	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
861	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
862	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
863	C₂×C₂²⋊D₅₃	—	4	8	no	—
864	C₂×C₂²⋊D₅₃	—	4	8	no	—
865	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
866	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
867	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
870	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
871	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
872	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
873	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
874	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
875	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
876	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
877	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
878	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
879	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
880	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
881	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
882	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
883	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
884	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
885	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
886	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
887	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
888	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
889	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
890	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
891	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
892	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
893	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
894	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
895	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
896	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
897	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
898	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
899	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
900	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
901	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
902	#11719949	—	4	4	no	—
903	#11719949	—	4	4	no	—
904	#11719949	—	4	4	no	—
905	#11719949	—	4	4	no	—
906	Q₈×D₅₃	—	2	4	no	—
907	Q₈×D₅₃	—	2	8	no	—
908	Q₈×D₅₃	—	4	4	no	—
909	#11719947	—	4	4	no	—
910	#11719947	—	4	4	no	—
911	#11719947	—	4	4	no	—
912	#11719947	—	4	8	no	—
913	#11719947	—	4	8	no	—
914	#11719947	—	4	8	no	—
915	#11719947	—	4	4	no	—
916	#11719947	—	4	4	no	—
917	#11719947	—	4	4	no	—
918	D₄×D₅₃	—	2	4	no	—
919	D₄×D₅₃	—	2	4	no	—
920	D₄×D₅₃	—	2	8	no	—
921	D₄×D₅₃	—	2	8	no	—
922	D₄×D₅₃	—	2	4	no	—
923	D₄×D₅₃	—	4	4	no	—
924	D₄×D₅₃	—	4	4	no	—
925	D₄×D₅₃	—	4	4	no	—
926	D₄×D₅₃	—	4	4	no	—
927	D₄×D₅₃	—	4	8	no	—
928	D₄×D₅₃	—	4	8	no	—
929	D₄×D₅₃	—	4	8	no	—
930	D₄×D₅₃	—	4	8	no	—
931	D₄×D₅₃	—	4	4	no	—
932	D₄×D₅₃	—	4	4	no	—
933	D₄×D₅₃	—	4	4	no	—
934	D₄×D₅₃	—	4	8	no	—
935	D₄×D₅₃	—	4	4	no	—
936	D₄×D₅₃	—	4	4	no	—
937	D₄×D₅₃	—	4	4	no	—
938	D₄×D₅₃	—	4	8	no	—
939	D₄×D₅₃	—	4	8	no	—
940	D₄×D₅₃	—	4	8	no	—
941	#11719945	—	4	8	no	—
942	#11719945	—	4	8	no	—
943	#11719945	—	4	8	no	—
944	#11719945	—	4	4	no	—
945	#11719945	—	4	4	no	—
946	#11719945	—	4	4	no	—
947	#11719945	—	4	4	no	—
948	#11719945	—	4	4	no	—
949	#11719945	—	4	4	no	—
950	C₂×D₂₁₂	—	4	4	no	—
951	C₂×D₂₁₂	—	4	4	no	—
952	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
953	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
954	C₂×D₂₁₂	C₂⁴	1	2	yes	—
955	C₂×D₂₁₂	C₂⁴	1	2	yes	—
956	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
957	C₂×D₂₁₂	C₂⁴	1	2	yes	—
958	C₂×D₂₁₂	C₂⁴	1	2	yes	—
959	C₂×D₂₁₂	C₂⁴	1	2	yes	—
960	C₂×D₂₁₂	C₂⁴	1	4	yes	—
961	C₂×D₂₁₂	C₂⁴	1	4	yes	—
962	C₂×D₂₁₂	C₂⁴	1	4	yes	—
963	C₂×D₂₁₂	C₂⁴	1	2	yes	—
964	C₂×D₂₁₂	C₂⁴	1	4	yes	—
965	C₂×D₂₁₂	C₂⁴	1	2	yes	—
966	C₂×D₂₁₂	C₂⁴	1	4	yes	—
967	C₂×D₂₁₂	C₂⁴	1	4	yes	—
968	C₂×D₂₁₂	C₂⁴	1	2	yes	—
969	C₂×C₄×D₅₃	—	2	8	no	—
970	C₂×C₄×D₅₃	—	2	8	no	—
971	C₂×C₄×D₅₃	—	2	4	no	—
972	C₂×C₄×D₅₃	—	2	8	no	—
973	C₂×C₄×D₅₃	—	2	4	no	—
974	C₂×C₄×D₅₃	—	4	2	no	—
975	C₂×C₄×D₅₃	—	4	8	no	—
976	C₂×C₄×D₅₃	—	4	8	no	—
977	C₂×C₄×D₅₃	—	4	8	no	—
978	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
979	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
980	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
981	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
982	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
983	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
984	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
985	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
986	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
987	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
988	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
989	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
990	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
991	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
992	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
993	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
994	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
995	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
996	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
997	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
998	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
999	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1000	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1001	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1002	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1003	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1004	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1005	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1006	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1007	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1008	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
1009	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
1010	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
1011	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
1012	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
1013	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
1014	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
1015	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1016	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1017	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1018	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1019	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1020	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1021	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1022	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1023	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1024	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1025	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1026	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1027	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1028	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1029	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1030	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1031	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1032	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1033	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1034	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1035	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1036	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1037	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1038	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1039	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1040	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1041	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1042	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1043	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1044	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1045	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1046	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1047	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1048	C₄²×C₅₃	C₂⁴	1	2	yes	—
1049	C₄²×C₅₃	C₂⁴	1	4	yes	—
1050	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1051	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1052	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1053	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1054	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1055	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1056	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1057	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1058	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1059	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1060	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1061	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1062	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1063	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1064	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1065	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1066	#11719921	C₂⁴	1	2	yes	—
1067	#11719921	C₂⁴	1	2	yes	—
1068	#11719921	C₂⁴	1	2	yes	—
1069	#11719921	C₂⁴	1	2	yes	—
1070	#11719921	C₂⁴	1	4	yes	—
1071	#11719921	C₂⁴	1	4	yes	—
1072	#11719921	C₂⁴	1	4	yes	—
1073	#11719921	C₂⁴	1	4	yes	—
1074	#11719921	C₂⁴	1	2	yes	—
1075	#11719921	C₂⁴	1	4	yes	—
1076	#11719921	C₂⁴	1	2	yes	—
1077	#11719921	C₂⁴	1	4	yes	—
1078	#11719921	C₂⁴	1	2	yes	—
1079	#11719921	C₂⁴	1	2	yes	—
1080	#11719921	C₂⁴	1	2	yes	—
1081	#11719921	C₂⁴	1	2	yes	—
1082	#11719921	C₂⁴	1	2	yes	—
1083	#11719921	C₂⁴	1	2	yes	—
1084	#11719921	C₂⁴	1	4	yes	—
1085	#11719921	C₂⁴	1	4	yes	—
1086	#11719921	C₂⁴	1	4	yes	—
1087	#11719921	C₂⁴	1	4	yes	—
1088	#11719921	C₂⁴	1	2	yes	—
1089	#11719921	C₂⁴	1	2	yes	—
1090	#11719921	C₂⁴	1	2	yes	—
1091	#11719921	C₂⁴	1	2	yes	—
1092	#11719921	C₂⁴	1	4	yes	—
1093	#11719921	C₂⁴	1	4	yes	—
1094	#11719921	C₂⁴	1	4	yes	—
1095	#11719921	C₂⁴	1	4	yes	—
1096	#11719921	C₂⁴	1	2	yes	—
1097	#11719921	C₂⁴	1	2	yes	—
1098	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1099	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1100	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1101	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1102	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1103	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1104	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1105	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1106	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1107	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1108	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1109	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1110	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1111	#11719919	C₂⁴	1	2	yes	—
1112	#11719919	C₂⁴	1	4	yes	—
1113	#11719919	C₂⁴	1	4	yes	—
1114	#11719919	C₂⁴	1	4	yes	—
1115	#11719919	C₂⁴	1	2	yes	—
1116	#11719919	C₂⁴	1	2	yes	—
1117	#11719919	C₂⁴	1	2	yes	—
1118	#11719919	C₂⁴	1	2	yes	—
1119	#11719919	C₂⁴	1	2	yes	—
1120	#11719919	C₂⁴	1	2	yes	—
1121	#11719919	C₂⁴	1	2	yes	—
1122	#11719919	C₂⁴	1	2	yes	—
1123	#11719919	C₂⁴	1	2	yes	—
1124	#11719919	C₂⁴	1	2	yes	—
1125	#11719919	C₂⁴	1	4	yes	—
1126	#11719919	C₂⁴	1	2	yes	—
1127	#11719919	C₂⁴	1	4	yes	—
1128	#11719919	C₂⁴	1	4	yes	—
1129	#11719919	C₂⁴	1	2	yes	—
1130	#11719919	C₂⁴	1	2	yes	—
1131	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1132	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1133	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1134	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1135	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1136	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1137	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1138	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1139	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1140	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1141	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1142	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1143	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1144	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1145	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1146	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1147	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1148	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1149	C₂³×C₅₃	—	4	4	no	—
1150	C₂³×C₅₃	—	4	4	no	—
1151	C₂³×C₅₃	—	4	4	no	—
1152	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1153	C₂³×C₅₃	C₂⁵	1	2	yes	—
1154	C₂³×C₅₃	C₂⁵	1	4	yes	—
1155	C₂³×C₅₃	C₂⁵	1	2	yes	—
1156	C₂³×C₅₃	C₂⁵	1	2	yes	—
1157	C₂²×D₅₃	—	2	2	no	—
1158	C₂²×D₅₃	—	2	4	no	—
1159	C₂²×D₅₃	—	2	2	no	—
1160	C₂²×D₅₃	—	2	4	no	—
1161	C₂²×D₅₃	—	2	4	no	—
1162	C₂²×D₅₃	—	2	4	no	—
1163	C₂²×D₅₃	—	2	8	no	—
1164	C₂²×D₅₃	—	2	8	no	—
1165	C₂²×D₅₃	—	2	4	no	—
1166	C₂²×D₅₃	—	2	4	no	—
1167	C₂²×D₅₃	—	2	2	no	—
1168	C₂²×D₅₃	—	2	4	no	—
1169	C₂²×D₅₃	—	2	8	no	—
1170	C₂²×D₅₃	—	2	4	no	—
1171	C₂²×D₅₃	—	2	4	no	—
1172	C₂²×D₅₃	—	4	4	no	—
1173	C₂²×D₅₃	—	4	4	no	—
1174	C₂²×D₅₃	—	4	4	no	—
1175	C₂²×D₅₃	—	4	4	no	—
1176	C₂²×D₅₃	—	4	4	no	—
1177	C₂²×D₅₃	—	4	4	no	—
1178	C₂²×D₅₃	—	4	4	no	—
1179	C₂²×D₅₃	—	4	4	no	—
1180	C₂²×D₅₃	—	4	4	no	—
1181	C₂²×D₅₃	—	8	32	no	—
1182	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1183	C₂²×D₅₃	C₂⁵	1	2	yes	—
1184	C₂²×D₅₃	C₂⁵	1	4	yes	—
1185	C₂²×D₅₃	C₂⁵	1	2	yes	—
1186	C₂²×D₅₃	C₂⁵	1	2	yes	—
1187	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1188	Q₈×C₅₃	—	2	4	no	—
1189	Q₈×C₅₃	—	2	2	no	—
1190	Q₈×C₅₃	—	4	2	no	—
1191	D₄×C₅₃	—	2	2	no	—
1192	D₄×C₅₃	—	2	2	no	—
1193	D₄×C₅₃	—	2	4	no	—
1194	D₄×C₅₃	—	2	4	no	—
1195	D₄×C₅₃	—	2	2	no	—
1196	D₄×C₅₃	—	4	4	no	—
1197	D₄×C₅₃	—	4	4	no	—
1198	D₄×C₅₃	—	4	4	no	—
1199	D₄×C₅₃	—	4	4	no	—
1200	D₄×C₅₃	—	4	4	no	—
1201	D₄×C₅₃	—	4	2	no	—
1202	D₄×C₅₃	—	4	2	no	—
1203	D₄×C₅₃	—	4	2	no	—
1204	D₄×C₅₃	—	4	2	no	—
1205	D₄×C₅₃	—	4	2	no	—
1206	D₄×C₅₃	—	4	2	no	—
1207	D₄×C₅₃	—	4	4	no	—
1208	C₂×C₄×C₅₃	—	2	4	no	—
1209	C₂×C₄×C₅₃	—	2	4	no	—
1210	C₂×C₄×C₅₃	—	2	2	no	—
1211	C₂×C₄×C₅₃	—	2	4	no	—
1212	C₂×C₄×C₅₃	—	2	2	no	—
1213	C₂×C₄×C₅₃	—	4	4	no	—
1214	C₂×C₄×C₅₃	—	4	4	no	—
1215	C₂×C₄×C₅₃	—	4	4	no	—
1216	C₂×C₄×C₅₃	—	4	1	no	—
1217	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1218	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1219	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1220	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1221	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1222	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1223	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1224	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1225	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1226	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1227	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1228	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1229	C₂²⋊D₅₃	—	2	4	no	—
1230	C₂²⋊D₅₃	—	2	8	no	—
1231	C₂²⋊D₅₃	—	2	8	no	—
1232	C₂²⋊D₅₃	—	2	4	no	—
1233	C₂²⋊D₅₃	—	2	4	no	—
1234	C₂²⋊D₅₃	—	4	4	no	—
1235	C₂²⋊D₅₃	—	4	4	no	—
1236	C₂²⋊D₅₃	—	4	4	no	—
1237	C₂²⋊D₅₃	—	4	4	no	—
1238	C₂²⋊D₅₃	—	4	4	no	—
1239	C₂²⋊D₅₃	—	4	4	no	—
1240	C₂²⋊D₅₃	—	4	2	no	—
1241	C₂²⋊D₅₃	—	4	2	no	—
1242	C₂²⋊D₅₃	—	4	2	no	—
1243	C₂²⋊D₅₃	—	4	2	no	—
1244	C₂²⋊D₅₃	—	4	2	no	—
1245	C₂²⋊D₅₃	—	4	2	no	—
1246	C₂²⋊D₅₃	—	4	4	no	—
1247	C₂²⋊D₅₃	—	4	4	no	—
1248	C₂²⋊D₅₃	—	4	4	no	—
1249	C₂²⋊D₅₃	—	4	4	no	—
1250	C₂²⋊D₅₃	—	4	2	no	—
1251	C₂²⋊D₅₃	—	4	4	no	—
1252	C₂²⋊D₅₃	—	4	2	no	—
1253	C₂²⋊D₅₃	—	4	2	no	—
1254	C₂²⋊D₅₃	—	4	4	no	—
1255	C₂²⋊D₅₃	—	4	4	no	—
1256	C₂²⋊D₅₃	—	4	2	no	—
1257	C₂×Dic₅₃	—	2	2	no	—
1258	C₂×Dic₅₃	—	2	4	no	—
1259	C₂×Dic₅₃	—	2	2	no	—
1260	C₂×Dic₅₃	—	2	4	no	—
1261	C₂×Dic₅₃	—	2	4	no	—
1262	C₂×Dic₅₃	—	4	4	no	—
1263	C₂×Dic₅₃	—	4	4	no	—
1264	C₂×Dic₅₃	—	4	4	no	—
1265	C₂×Dic₅₃	—	4	1	no	—
1266	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1267	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1268	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1269	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1270	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1271	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1272	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1273	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1274	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1275	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1276	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1277	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1278	D₂₁₂	—	2	2	no	—
1279	D₂₁₂	—	2	2	no	—
1280	D₂₁₂	—	2	4	no	—
1281	D₂₁₂	—	2	4	no	—
1282	D₂₁₂	—	2	2	no	—
1283	D₂₁₂	—	4	4	no	—
1284	D₂₁₂	—	4	4	no	—
1285	D₂₁₂	—	4	4	no	—
1286	D₂₁₂	—	4	4	no	—
1287	D₂₁₂	—	4	4	no	—
1288	D₂₁₂	—	4	2	no	—
1289	D₂₁₂	—	4	2	no	—
1290	D₂₁₂	—	4	2	no	—
1291	D₂₁₂	—	4	2	no	—
1292	D₂₁₂	—	4	2	no	—
1293	D₂₁₂	—	4	2	no	—
1294	D₂₁₂	—	4	4	no	—
1295	C₄×D₅₃	—	2	2	no	—
1296	C₄×D₅₃	—	2	4	no	—
1297	C₄×D₅₃	—	2	4	no	—
1298	C₄×D₅₃	—	2	4	no	—
1299	C₄×D₅₃	—	2	2	no	—
1300	C₄×D₅₃	—	2	8	no	—
1301	C₄×D₅₃	—	2	4	no	—
1302	C₄×D₅₃	—	2	2	no	—
1303	C₄×D₅₃	—	2	2	no	—
1304	C₄×D₅₃	—	2	4	no	—
1305	C₄×D₅₃	—	2	2	no	—
1306	C₄×D₅₃	—	2	4	no	—
1307	C₄×D₅₃	—	2	4	no	—
1308	C₄×D₅₃	—	2	4	no	—
1309	C₄×D₅₃	—	2	2	no	—
1310	C₄×D₅₃	—	2	2	no	—
1311	C₄×D₅₃	—	2	4	no	—
1312	C₄×D₅₃	—	2	4	no	—
1313	C₄×D₅₃	—	2	4	no	—
1314	C₄×D₅₃	—	2	2	no	—
1315	C₄×D₅₃	—	4	1	no	—
1316	C₄×D₅₃	—	4	1	no	—
1317	C₄×D₅₃	—	4	4	no	—
1318	C₄×D₅₃	—	4	4	no	—
1319	C₄×D₅₃	—	4	4	no	—
1320	C₄×D₅₃	—	4	4	no	—
1321	C₄×D₅₃	—	4	4	no	—
1322	C₄×D₅₃	—	4	4	no	—
1323	C₄×D₅₃	H(5,𝔽₂)	1	4	yes	—
1324	C₄×D₅₃	H(5,𝔽₂)	1	4	yes	—
1325	Dic₁₀₆	—	2	4	no	—
1326	Dic₁₀₆	—	2	2	no	—
1327	Dic₁₀₆	—	2	8	no	—
1328	Dic₁₀₆	—	2	4	no	—
1329	Dic₁₀₆	—	4	2	no	—
1330	Dic₁₀₆	—	4	2	no	—
1331	Dic₁₀₆	—	4	2	no	—
1332	C₂×#3546	—	53	1	no	maximal, Sylow
1333	C₂²×C₅₃	—	2	1	no	—
1334	C₂²×C₅₃	—	2	1	no	—
1335	C₂²×C₅₃	—	2	2	no	—
1336	C₂²×C₅₃	—	2	2	no	—
1337	C₂²×C₅₃	—	2	2	no	—
1338	C₂²×C₅₃	—	2	2	no	—
1339	C₂²×C₅₃	—	2	4	no	—
1340	C₂²×C₅₃	—	2	4	no	—
1341	C₂²×C₅₃	—	2	2	no	—
1342	C₂²×C₅₃	—	2	2	no	—
1343	C₂²×C₅₃	—	2	1	no	—
1344	C₂²×C₅₃	—	2	2	no	—
1345	C₂²×C₅₃	—	2	4	no	—
1346	C₂²×C₅₃	—	2	2	no	—
1347	C₂²×C₅₃	—	2	2	no	—
1348	C₂²×C₅₃	—	8	8	no	—
1349	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1350	C₂×D₅₃	—	2	1	no	—
1351	C₂×D₅₃	—	2	2	no	—
1352	C₂×D₅₃	—	2	1	no	—
1353	C₂×D₅₃	—	2	2	no	—
1354	C₂×D₅₃	—	2	2	no	—
1355	C₂×D₅₃	—	2	2	no	—
1356	C₂×D₅₃	—	2	4	no	—
1357	C₂×D₅₃	—	2	4	no	—
1358	C₂×D₅₃	—	2	2	no	—
1359	C₂×D₅₃	—	2	2	no	—
1360	C₂×D₅₃	—	2	1	no	—
1361	C₂×D₅₃	—	2	2	no	—
1362	C₂×D₅₃	—	2	4	no	—
1363	C₂×D₅₃	—	2	2	no	—
1364	C₂×D₅₃	—	2	2	no	—
1365	C₂×D₅₃	—	4	4	no	—
1366	C₂×D₅₃	—	4	8	no	—
1367	C₂×D₅₃	—	4	16	no	—
1368	C₂×D₅₃	—	4	8	no	—
1369	C₂×D₅₃	—	4	8	no	—
1370	C₂×D₅₃	—	8	8	no	—
1371	C₂×D₅₃	—	8	8	no	—
1372	C₂×D₅₃	—	8	8	no	—
1373	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1374	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1375	C₂×D₅₃	#585	1	2	yes	—
1376	C₄×C₅₃	—	2	4	no	—
1377	C₄×C₅₃	—	2	2	no	—
1378	C₄×C₅₃	—	2	1	no	—
1379	C₄×C₅₃	—	2	2	no	—
1380	C₄×C₅₃	—	2	2	no	—
1381	C₄×C₅₃	—	2	1	no	—
1382	C₄×C₅₃	—	2	2	no	—
1383	C₄×C₅₃	—	2	1	no	—
1384	C₄×C₅₃	—	2	1	no	—
1385	C₄×C₅₃	—	2	2	no	—
1386	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1387	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1388	Dic₅₃	—	2	4	no	—
1389	Dic₅₃	—	2	2	no	—
1390	Dic₅₃	—	2	1	no	—
1391	Dic₅₃	—	2	2	no	—
1392	Dic₅₃	—	2	2	no	—
1393	Dic₅₃	—	2	1	no	—
1394	Dic₅₃	—	2	2	no	—
1395	Dic₅₃	—	2	1	no	—
1396	Dic₅₃	—	2	1	no	—
1397	Dic₅₃	—	2	2	no	—
1398	Dic₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1399	Dic₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1400	#3546	—	53	4	no	—
1401	#3546	—	53	1	no	—
1402	#3546	—	53	2	no	—
1403	#3546	—	53	2	no	—
1404	#3546	—	53	1	no	—
1405	#3546	—	53	1	no	—
1406	#3546	—	53	2	no	—
1407	#3546	—	53	2	no	—
1408	#3546	—	53	1	no	—
1409	#3546	—	53	2	no	—
1410	#3546	—	53	4	no	—
1411	#3546	—	53	2	no	—
1412	#3546	—	53	2	no	—
1413	#3546	—	53	2	no	—
1414	#3546	—	53	1	no	—
1415	#3546	—	53	1	no	—
1416	#3546	—	53	1	no	—
1417	#3546	D₅₃	1	1	yes	characteristic, direct product factor
1418	C₂×#560	—	53	4	no	—
1419	C₂×#556	—	53	1	no	—
1420	C₂×#553	—	53	2	no	—
1421	C₂×#550	—	53	2	no	—
1422	C₂×#550	—	53	1	no	—
1423	C₂×#547	—	53	1	no	—
1424	C₂×#546	—	53	2	no	—
1425	C₂×#546	—	53	2	no	—
1426	C₂×D₄²	—	53	1	no	—
1427	C₂×#542	—	53	2	no	—
1428	C₂×#538	—	53	4	no	—
1429	C₂×#537	—	53	2	no	—
1430	C₂×#535	—	53	2	no	—
1431	C₂×#535	—	53	2	no	—
1432	C₂×#532	—	53	1	no	—
1433	C₂×#532	—	53	1	no	—
1434	C₂×#529	—	53	1	no	—
1435	C₂×C₅₃	—	4	2	no	—
1436	C₂×C₅₃	—	4	2	no	—
1437	C₂×C₅₃	—	4	4	no	—
1438	C₂×C₅₃	—	4	1	no	—
1439	C₂×C₅₃	—	4	2	no	—
1440	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1441	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1442	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1443	D₅₃	—	4	1	no	—
1444	D₅₃	—	4	2	no	—
1445	D₅₃	—	4	4	no	—
1446	D₅₃	—	4	2	no	—
1447	D₅₃	—	4	2	no	—
1448	D₅₃	#3546	1	4	yes	direct product factor
1449	C₂²×#41	—	53	2	no	—
1450	C₂²×#41	—	53	2	no	—
1451	C₂²×#41	—	53	2	no	—
1452	C₂²×#41	—	53	2	no	—
1453	C₂³×D₄	—	53	2	no	—
1454	C₂³×D₄	—	53	2	no	—
1455	#560	—	53	4	no	—
1456	#560	—	53	4	no	—
1457	#560	—	53	4	no	—
1458	#560	—	53	4	no	—
1459	#560	—	53	4	no	—
1460	#560	—	53	4	no	—
1461	#560	—	53	4	no	—
1462	#560	—	53	4	no	—
1463	#560	—	53	4	no	—
1464	#560	—	53	4	no	—
1465	#560	—	53	4	no	—
1466	#560	—	53	4	no	—
1467	#560	—	53	4	no	—
1468	#560	—	53	4	no	—
1469	#560	—	53	4	no	—
1470	#560	C₂×D₅₃	1	4	yes	complemented
1471	#556	—	53	1	no	—
1472	#556	—	53	4	no	—
1473	#556	—	53	2	no	—
1474	#556	—	53	2	no	—
1475	#556	—	53	2	no	—
1476	#556	—	53	1	no	—
1477	#556	—	53	1	no	—
1478	#556	—	53	2	no	—
1479	#556	C₂×D₅₃	1	1	yes	characteristic, complemented
1480	#553	—	53	4	no	—
1481	#553	—	53	2	no	—
1482	#553	—	53	4	no	—
1483	#553	—	53	2	no	—
1484	#553	—	53	4	no	—
1485	#553	—	53	2	no	—
1486	#553	—	53	2	no	—
1487	#553	—	53	4	no	—
1488	#553	—	53	2	no	—
1489	#553	—	53	2	no	—
1490	#553	—	53	2	no	—
1491	#553	C₂×D₅₃	1	2	yes	complemented
1492	#550	—	53	2	no	—
1493	#550	—	53	2	no	—
1494	#550	—	53	2	no	—
1495	#550	—	53	1	no	—
1496	#550	—	53	4	no	—
1497	#550	—	53	2	no	—
1498	#550	—	53	2	no	—
1499	#550	—	53	2	no	—
1500	#550	—	53	2	no	—
1501	#550	—	53	2	no	—
1502	#550	—	53	4	no	—
1503	#550	—	53	4	no	—
1504	#550	—	53	4	no	—
1505	#550	—	53	2	no	—
1506	#550	—	53	1	no	—
1507	#550	—	53	4	no	—
1508	#550	—	53	2	no	—
1509	#550	—	53	2	no	—
1510	#550	—	53	1	no	—
1511	#550	C₂×D₅₃	1	2	yes	complemented
1512	#550	C₂×D₅₃	1	1	yes	characteristic, complemented
1513	#547	—	53	2	no	—
1514	#547	—	53	1	no	—
1515	#547	—	53	4	no	—
1516	#547	—	53	2	no	—
1517	#547	—	53	2	no	—
1518	#547	—	53	1	no	—
1519	#547	—	53	1	no	—
1520	#547	—	53	2	no	—
1521	#547	C₂×D₅₃	1	1	yes	characteristic, complemented
1522	#546	—	53	2	no	—
1523	#546	—	53	2	no	—
1524	#546	—	53	2	no	—
1525	#546	—	53	2	no	—
1526	#546	—	53	2	no	—
1527	#546	—	53	2	no	—
1528	#546	—	53	4	no	—
1529	#546	—	53	4	no	—
1530	#546	—	53	2	no	—
1531	#546	—	53	2	no	—
1532	#546	—	53	2	no	—
1533	#546	—	53	2	no	—
1534	#546	—	53	4	no	—
1535	#546	—	53	4	no	—
1536	#546	—	53	4	no	—
1537	#546	—	53	4	no	—
1538	#546	—	53	2	no	—
1539	#546	—	53	2	no	—
1540	#546	—	53	2	no	—
1541	#546	—	53	2	no	—
1542	#546	—	53	4	no	—
1543	#546	—	53	4	no	—
1544	#546	C₂×D₅₃	1	2	yes	complemented
1545	#546	C₂×D₅₃	1	2	yes	complemented
1546	D₄²	—	53	2	no	—
1547	D₄²	—	53	2	no	—
1548	D₄²	—	53	1	no	—
1549	D₄²	—	53	2	no	—
1550	D₄²	—	53	2	no	—
1551	D₄²	—	53	4	no	—
1552	D₄²	—	53	1	no	—
1553	D₄²	—	53	1	no	—
1554	D₄²	C₂×D₅₃	1	1	yes	characteristic, complemented
1555	#542	—	53	2	no	—
1556	#542	—	53	4	no	—
1557	#542	—	53	4	no	—
1558	#542	—	53	2	no	—
1559	#542	—	53	4	no	—
1560	#542	—	53	4	no	—
1561	#542	—	53	2	no	—
1562	#542	—	53	2	no	—
1563	#542	—	53	2	no	—
1564	#542	—	53	2	no	—
1565	#542	—	53	2	no	—
1566	#542	C₂×D₅₃	1	2	yes	complemented
1567	#538	—	53	4	no	—
1568	#538	—	53	4	no	—
1569	#538	—	53	4	no	—
1570	#538	—	53	4	no	—
1571	#538	—	53	4	no	—
1572	#538	—	53	4	no	—
1573	#538	—	53	4	no	—
1574	#538	—	53	4	no	—
1575	#538	—	53	4	no	—
1576	#538	—	53	4	no	—
1577	#538	—	53	4	no	—
1578	#538	—	53	4	no	—
1579	#538	—	53	4	no	—
1580	#538	—	53	4	no	—
1581	#538	—	53	4	no	—
1582	#538	C₂×D₅₃	1	4	yes	complemented
1583	#537	—	53	2	no	—
1584	#537	—	53	2	no	—
1585	#537	—	53	2	no	—
1586	#537	—	53	2	no	—
1587	#537	—	53	4	no	—
1588	#537	—	53	2	no	—
1589	#537	—	53	4	no	—
1590	#537	—	53	4	no	—
1591	#537	—	53	4	no	—
1592	#537	—	53	2	no	—
1593	#537	—	53	2	no	—
1594	#537	C₂×D₅₃	1	2	yes	complemented
1595	#535	—	53	2	no	—
1596	#535	—	53	2	no	—
1597	#535	—	53	2	no	—
1598	#535	—	53	2	no	—
1599	#535	—	53	2	no	—
1600	#535	—	53	2	no	—
1601	#535	—	53	4	no	—
1602	#535	—	53	2	no	—
1603	#535	—	53	2	no	—
1604	#535	—	53	4	no	—
1605	#535	—	53	2	no	—
1606	#535	—	53	2	no	—
1607	#535	—	53	4	no	—
1608	#535	—	53	4	no	—
1609	#535	—	53	2	no	—
1610	#535	—	53	2	no	—
1611	#535	—	53	4	no	—
1612	#535	—	53	4	no	—
1613	#535	—	53	4	no	—
1614	#535	—	53	4	no	—
1615	#535	—	53	2	no	—
1616	#535	—	53	2	no	—
1617	#535	C₂×D₅₃	1	2	yes	complemented
1618	#535	C₂×D₅₃	1	2	yes	complemented
1619	#532	—	53	2	no	—
1620	#532	—	53	2	no	—
1621	#532	—	53	1	no	—
1622	#532	—	53	1	no	—
1623	#532	—	53	1	no	—
1624	#532	—	53	1	no	—
1625	#532	—	53	2	no	—
1626	#532	—	53	2	no	—
1627	#532	—	53	1	no	—
1628	#532	—	53	2	no	—
1629	#532	—	53	2	no	—
1630	#532	—	53	2	no	—
1631	#532	—	53	1	no	—
1632	#532	—	53	1	no	—
1633	#532	—	53	2	no	—
1634	#532	—	53	2	no	—
1635	#532	—	53	2	no	—
1636	#532	—	53	1	no	—
1637	#532	—	53	1	no	—
1638	#532	—	53	1	no	—
1639	#532	C₂×D₅₃	1	1	yes	characteristic, complemented
1640	#532	C₂×D₅₃	1	1	yes	characteristic, complemented
1641	C₂×C₄⋊Q₈	—	53	1	no	—
1642	C₂×C₄⋊Q₈	—	53	1	no	—
1643	C₂×#127	—	53	1	no	—
1644	C₂×#127	—	53	1	no	—
1645	C₂×#127	—	53	2	no	—
1646	C₂×#127	—	53	4	no	—
1647	#529	—	53	2	no	—
1648	#529	—	53	1	no	—
1649	#529	—	53	1	no	—
1650	#529	—	53	2	no	—
1651	#529	—	53	1	no	—
1652	#529	—	53	1	no	—
1653	#529	—	53	1	no	—
1654	#529	—	53	1	no	—
1655	#529	—	53	2	no	—
1656	#529	—	53	2	no	—
1657	#529	—	53	1	no	—
1658	#529	C₂×D₅₃	1	1	yes	characteristic, complemented
1659	C₂×#126	—	53	2	no	—
1660	C₂×#126	—	53	4	no	—
1661	C₂×#126	—	53	4	no	—
1662	C₂×#125	—	53	1	no	—
1663	C₂×#124	—	53	1	no	—
1664	C₂×#124	—	53	2	no	—
1665	C₂×#124	—	53	2	no	—
1666	C₂×#124	—	53	2	no	—
1667	C₂×#124	—	53	4	no	—
1668	C₂×#123	—	53	2	no	—
1669	C₂×#123	—	53	4	no	—
1670	C₂×#123	—	53	4	no	—
1671	C₂×#123	—	53	4	no	—
1672	C₂×C₂²⋊Q₈	—	53	1	no	—
1673	C₂×C₂²⋊Q₈	—	53	4	no	—
1674	C₂×C₂²⋊Q₈	—	53	2	no	—
1675	C₂×C₂²⋊Q₈	—	53	2	no	—
1676	C₂×#121	—	53	1	no	—
1677	C₂×#121	—	53	1	no	—
1678	C₂×#121	—	53	2	no	—
1679	C₂×#121	—	53	2	no	—
1680	C₂×#121	—	53	2	no	—
1681	C₂×#121	—	53	2	no	—
1682	C₂×#121	—	53	1	no	—
1683	C₂×#121	—	53	2	no	—
1684	C₂×#121	—	53	2	no	—
1685	C₂×#121	—	53	4	no	—
1686	C₂×#121	—	53	2	no	—
1687	C₂×#121	—	53	4	no	—
1688	C₂×#121	—	53	4	no	—
1689	C₂×#121	—	53	4	no	—
1690	C₂×#121	—	53	4	no	—
1691	C₂×#121	—	53	4	no	—
1692	C₂×#120	—	53	4	no	—
1693	C₂×#120	—	53	4	no	—
1694	C₂×#120	—	53	4	no	—
1695	C₂×#120	—	53	4	no	—
1696	C₂×C₄×Q₈	—	53	1	no	—
1697	C₂×C₄×Q₈	—	53	2	no	—
1698	C₂×C₄×D₄	—	53	1	no	—
1699	C₂×C₄×D₄	—	53	1	no	—
1700	C₂×C₄×D₄	—	53	2	no	—
1701	C₂×C₄×D₄	—	53	2	no	—
1702	C₂×C₄×D₄	—	53	2	no	—
1703	C₂×C₄×D₄	—	53	2	no	—
1704	C₂×C₄×D₄	—	53	1	no	—
1705	C₂×C₄×D₄	—	53	4	no	—
1706	C₂×C₄×D₄	—	53	2	no	—
1707	C₂×#117	—	53	2	no	—
1708	C₂×#117	—	53	2	no	—
1709	C₂²×C₄⋊C₄	—	53	2	no	—
1710	C₂²×C₂²⋊C₄	—	53	4	no	—
1711	C₂²×C₄²	—	53	1	no	—
1712	C₅₃	C₂×#3546	1	1	yes	characteristic, complemented, Sylow
1713	C₂⁵	—	53	4	no	—
1714	C₂×#41	—	53	2	no	—
1715	C₂×#41	—	53	2	no	—
1716	C₂×#41	—	53	2	no	—
1717	C₂×#41	—	53	2	no	—
1718	C₂×#41	—	53	2	no	—
1719	C₂×#41	—	53	2	no	—
1720	C₂×#41	—	53	2	no	—
1721	C₂×#41	—	53	4	no	—
1722	C₂×#41	—	53	2	no	—
1723	C₂×#41	—	53	4	no	—
1724	C₂×#41	—	53	2	no	—
1725	C₂×#41	—	53	4	no	—
1726	C₂×#41	—	53	2	no	—
1727	C₂×#41	—	53	2	no	—
1728	C₂×#41	—	53	2	no	—
1729	C₂×#41	—	53	2	no	—
1730	C₂×#41	—	53	4	no	—
1731	C₂×#41	—	53	2	no	—
1732	C₂×#41	—	53	4	no	—
1733	C₂×#41	—	53	2	no	—
1734	C₂×#41	—	53	4	no	—
1735	C₂×#41	—	53	2	no	—
1736	C₂×#41	—	212	8	no	—
1737	C₂×#41	—	212	8	no	—
1738	C₂×#41	—	212	8	no	—
1739	C₂×#41	—	212	8	no	—
1740	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1741	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1742	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1743	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1744	C₂²×Q₈	—	53	1	no	—
1745	C₂²×Q₈	—	53	2	no	—
1746	C₂²×Q₈	—	53	2	no	—
1747	C₂²×D₄	—	53	4	no	—
1748	C₂²×D₄	—	53	4	no	—
1749	C₂²×D₄	—	53	1	no	—
1750	C₂²×D₄	—	53	2	no	—
1751	C₂²×D₄	—	53	1	no	—
1752	C₂²×D₄	—	53	2	no	—
1753	C₂²×D₄	—	53	1	no	—
1754	C₂²×D₄	—	53	2	no	—
1755	C₂²×D₄	—	53	2	no	—
1756	C₂²×D₄	—	53	2	no	—
1757	C₂²×D₄	—	53	4	no	—
1758	C₂²×D₄	—	53	2	no	—
1759	C₂²×D₄	—	53	4	no	—
1760	C₂²×D₄	—	53	2	no	—
1761	C₂²×D₄	—	53	4	no	—
1762	C₂²×D₄	—	53	4	no	—
1763	C₂²×D₄	—	53	4	no	—
1764	C₂²×D₄	—	53	4	no	—
1765	C₂²×D₄	—	53	2	no	—
1766	C₂²×D₄	—	53	4	no	—
1767	C₂²×D₄	—	53	4	no	—
1768	C₂²×D₄	—	53	2	no	—
1769	C₂²×D₄	—	53	2	no	—
1770	C₂²×D₄	—	53	2	no	—
1771	C₂²×D₄	—	53	2	no	—
1772	C₂²×D₄	—	53	2	no	—
1773	C₂²×D₄	—	53	2	no	—
1774	C₂²×D₄	—	212	8	no	—
1775	C₂²×D₄	—	212	8	no	—
1776	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1777	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1778	C₂³×C₄	—	53	2	no	—
1779	C₂³×C₄	—	53	2	no	—
1780	C₂³×C₄	—	53	2	no	—
1781	C₂³×C₄	—	53	1	no	—
1782	C₂³×C₄	—	53	1	no	—
1783	C₂³×C₄	—	53	4	no	—
1784	C₂³×C₄	—	53	4	no	—
1785	C₂³×C₄	—	53	4	no	—
1786	C₂³×C₄	—	53	1	no	—
1787	C₄⋊Q₈	—	53	2	no	—
1788	C₄⋊Q₈	—	53	2	no	—
1789	C₄⋊Q₈	—	53	2	no	—
1790	C₄⋊Q₈	—	53	1	no	—
1791	C₄⋊Q₈	—	53	1	no	—
1792	C₄⋊Q₈	—	53	2	no	—
1793	C₄⋊Q₈	—	53	2	no	—
1794	C₄⋊Q₈	—	53	1	no	—
1795	C₄⋊Q₈	—	53	1	no	—
1796	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1797	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1798	#127	—	53	2	no	—
1799	#127	—	53	2	no	—
1800	#127	—	53	1	no	—
1801	#127	—	53	1	no	—
1802	#127	—	53	2	no	—
1803	#127	—	53	2	no	—
1804	#127	—	53	2	no	—
1805	#127	—	53	4	no	—
1806	#127	—	53	4	no	—
1807	#127	—	53	2	no	—
1808	#127	—	53	2	no	—
1809	#127	—	53	4	no	—
1810	#127	—	53	4	no	—
1811	#127	—	53	4	no	—
1812	#127	—	53	4	no	—
1813	#127	—	53	4	no	—
1814	#127	—	53	4	no	—
1815	#127	—	53	1	no	—
1816	#127	—	53	1	no	—
1817	#127	—	53	2	no	—
1818	#127	—	53	4	no	—
1819	#127	C₂²×D₅₃	1	1	yes	characteristic
1820	#127	C₂²×D₅₃	1	1	yes	characteristic
1821	#127	C₂²×D₅₃	1	2	yes	complemented
1822	#127	C₂²×D₅₃	1	4	yes	complemented
1823	#126	—	53	2	no	—
1824	#126	—	53	2	no	—
1825	#126	—	53	2	no	—
1826	#126	—	53	4	no	—
1827	#126	—	53	4	no	—
1828	#126	—	53	4	no	—
1829	#126	—	53	4	no	—
1830	#126	—	53	4	no	—
1831	#126	—	53	4	no	—
1832	#126	—	53	2	no	—
1833	#126	—	53	2	no	—
1834	#126	—	53	2	no	—
1835	#126	—	53	4	no	—
1836	#126	—	53	4	no	—
1837	#126	—	53	4	no	—
1838	#126	—	53	4	no	—
1839	#126	—	53	4	no	—
1840	#126	—	53	4	no	—
1841	#126	—	53	2	no	—
1842	#126	—	53	4	no	—
1843	#126	—	53	4	no	—
1844	#126	C₂²×D₅₃	1	2	yes	complemented
1845	#126	C₂²×D₅₃	1	4	yes	complemented
1846	#126	C₂²×D₅₃	1	4	yes	complemented
1847	#125	—	53	2	no	—
1848	#125	—	53	2	no	—
1849	#125	—	53	1	no	—
1850	#125	—	53	1	no	—
1851	#125	—	53	1	no	—
1852	#125	C₂²×D₅₃	1	1	yes	characteristic, complemented
1853	#124	—	53	1	no	—
1854	#124	—	53	2	no	—
1855	#124	—	53	2	no	—
1856	#124	—	53	4	no	—
1857	#124	—	53	2	no	—
1858	#124	—	53	1	no	—
1859	#124	—	53	2	no	—
1860	#124	—	53	2	no	—
1861	#124	—	53	4	no	—
1862	#124	—	53	2	no	—
1863	#124	—	53	2	no	—
1864	#124	—	53	2	no	—
1865	#124	—	53	4	no	—
1866	#124	—	53	4	no	—
1867	#124	—	53	2	no	—
1868	#124	—	53	2	no	—
1869	#124	—	53	2	no	—
1870	#124	—	53	2	no	—
1871	#124	—	53	4	no	—
1872	#124	—	53	4	no	—
1873	#124	—	53	4	no	—
1874	#124	—	53	4	no	—
1875	#124	—	53	4	no	—
1876	#124	—	53	4	no	—
1877	#124	—	53	1	no	—
1878	#124	—	53	2	no	—
1879	#124	—	53	2	no	—
1880	#124	—	53	4	no	—
1881	#124	—	53	2	no	—
1882	#124	C₂²×D₅₃	1	1	yes	characteristic
1883	#124	C₂²×D₅₃	1	2	yes	—
1884	#124	C₂²×D₅₃	1	2	yes	complemented
1885	#124	C₂²×D₅₃	1	2	yes	complemented
1886	#124	C₂²×D₅₃	1	4	yes	complemented
1887	#123	—	53	2	no	—
1888	#123	—	53	4	no	—
1889	#123	—	53	4	no	—
1890	#123	—	53	4	no	—
1891	#123	—	53	2	no	—
1892	#123	—	53	4	no	—
1893	#123	—	53	4	no	—
1894	#123	—	53	4	no	—
1895	#123	—	53	2	no	—
1896	#123	—	53	2	no	—
1897	#123	—	53	4	no	—
1898	#123	—	53	4	no	—
1899	#123	—	53	4	no	—
1900	#123	—	53	4	no	—
1901	#123	—	53	4	no	—
1902	#123	—	53	4	no	—
1903	#123	—	53	2	no	—
1904	#123	—	53	2	no	—
1905	#123	—	53	2	no	—
1906	#123	—	53	4	no	—
1907	#123	—	53	4	no	—
1908	#123	—	53	4	no	—
1909	#123	—	53	4	no	—
1910	#123	—	53	4	no	—
1911	#123	—	53	4	no	—
1912	#123	—	53	4	no	—
1913	#123	—	53	4	no	—
1914	#123	—	53	4	no	—
1915	#123	C₂²×D₅₃	1	2	yes	complemented
1916	#123	C₂²×D₅₃	1	4	yes	complemented
1917	#123	C₂²×D₅₃	1	4	yes	complemented
1918	#123	C₂²×D₅₃	1	4	yes	complemented
1919	C₂²⋊Q₈	—	53	1	no	—
1920	C₂²⋊Q₈	—	53	4	no	—
1921	C₂²⋊Q₈	—	53	2	no	—
1922	C₂²⋊Q₈	—	53	2	no	—
1923	C₂²⋊Q₈	—	53	1	no	—
1924	C₂²⋊Q₈	—	53	4	no	—
1925	C₂²⋊Q₈	—	53	2	no	—
1926	C₂²⋊Q₈	—	53	2	no	—
1927	C₂²⋊Q₈	—	53	2	no	—
1928	C₂²⋊Q₈	—	53	1	no	—
1929	C₂²⋊Q₈	—	53	4	no	—
1930	C₂²⋊Q₈	—	53	4	no	—
1931	C₂²⋊Q₈	—	53	4	no	—
1932	C₂²⋊Q₈	—	53	4	no	—
1933	C₂²⋊Q₈	—	53	2	no	—
1934	C₂²⋊Q₈	—	53	4	no	—
1935	C₂²⋊Q₈	—	53	2	no	—
1936	C₂²⋊Q₈	—	53	2	no	—
1937	C₂²⋊Q₈	—	53	4	no	—
1938	C₂²⋊Q₈	—	53	4	no	—
1939	C₂²⋊Q₈	—	53	4	no	—
1940	C₂²⋊Q₈	—	53	4	no	—
1941	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1942	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1943	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1944	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1945	#121	—	53	1	no	—
1946	#121	—	53	2	no	—
1947	#121	—	53	2	no	—
1948	#121	—	53	4	no	—
1949	#121	—	53	1	no	—
1950	#121	—	53	2	no	—
1951	#121	—	53	1	no	—
1952	#121	—	53	2	no	—
1953	#121	—	53	2	no	—
1954	#121	—	53	2	no	—
1955	#121	—	53	2	no	—
1956	#121	—	53	4	no	—
1957	#121	—	53	2	no	—
1958	#121	—	53	4	no	—
1959	#121	—	53	4	no	—
1960	#121	—	53	4	no	—
1961	#121	—	53	2	no	—
1962	#121	—	53	4	no	—
1963	#121	—	53	2	no	—
1964	#121	—	53	4	no	—
1965	#121	—	53	4	no	—
1966	#121	—	53	4	no	—
1967	#121	—	53	4	no	—
1968	#121	—	53	2	no	—
1969	#121	—	53	4	no	—
1970	#121	—	53	4	no	—
1971	#121	—	53	4	no	—
1972	#121	—	53	4	no	—
1973	#121	—	53	4	no	—
1974	#121	—	53	4	no	—
1975	#121	—	53	4	no	—
1976	#121	—	53	4	no	—
1977	#121	—	53	4	no	—
1978	#121	—	53	4	no	—
1979	#121	—	53	4	no	—
1980	#121	—	53	4	no	—
1981	#121	—	53	4	no	—
1982	#121	—	53	2	no	—
1983	#121	—	53	4	no	—
1984	#121	—	53	1	no	—
1985	#121	—	53	2	no	—
1986	#121	—	53	1	no	—
1987	#121	—	53	1	no	—
1988	#121	—	53	2	no	—
1989	#121	—	53	2	no	—
1990	#121	—	53	4	no	—
1991	#121	—	53	2	no	—
1992	#121	—	53	2	no	—
1993	#121	—	53	4	no	—
1994	#121	—	53	2	no	—
1995	#121	—	53	4	no	—
1996	#121	—	53	4	no	—
1997	#121	—	53	4	no	—
1998	#121	—	53	4	no	—
1999	#121	—	53	2	no	—
2000	#121	—	53	1	no	—
2001	#121	—	53	2	no	—
2002	#121	—	53	1	no	—
2003	#121	—	53	1	no	—
2004	#121	—	53	2	no	—
2005	#121	—	53	2	no	—
2006	#121	—	53	4	no	—
2007	#121	—	53	2	no	—
2008	#121	—	53	2	no	—
2009	#121	—	53	4	no	—
2010	#121	—	53	2	no	—
2011	#121	—	53	4	no	—
2012	#121	—	53	4	no	—
2013	#121	—	53	4	no	—
2014	#121	—	53	4	no	—
2015	#121	—	53	2	no	—
2016	#121	—	53	2	no	—
2017	#121	—	53	4	no	—
2018	#121	—	53	2	no	—
2019	#121	—	53	2	no	—
2020	#121	—	53	2	no	—
2021	#121	—	53	4	no	—
2022	#121	—	53	2	no	—
2023	#121	—	53	4	no	—
2024	#121	—	53	4	no	—
2025	#121	—	53	4	no	—
2026	#121	—	53	4	no	—
2027	#121	—	53	4	no	—
2028	#121	—	53	4	no	—
2029	#121	—	53	4	no	—
2030	#121	—	53	4	no	—
2031	#121	—	53	4	no	—
2032	#121	—	53	4	no	—
2033	#121	—	53	4	no	—
2034	#121	—	53	4	no	—
2035	#121	—	53	4	no	—
2036	#121	—	53	4	no	—
2037	#121	—	53	4	no	—
2038	#121	—	53	4	no	—
2039	#121	C₂²×D₅₃	1	1	yes	characteristic
2040	#121	C₂²×D₅₃	1	1	yes	characteristic
2041	#121	C₂²×D₅₃	1	2	yes	—
2042	#121	C₂²×D₅₃	1	2	yes	—
2043	#121	C₂²×D₅₃	1	2	yes	—
2044	#121	C₂²×D₅₃	1	2	yes	complemented
2045	#121	C₂²×D₅₃	1	1	yes	characteristic, complemented
2046	#121	C₂²×D₅₃	1	2	yes	complemented
2047	#121	C₂²×D₅₃	1	2	yes	complemented
2048	#121	C₂²×D₅₃	1	4	yes	complemented
2049	#121	C₂²×D₅₃	1	2	yes	complemented
2050	#121	C₂²×D₅₃	1	4	yes	complemented
2051	#121	C₂²×D₅₃	1	4	yes	complemented
2052	#121	C₂²×D₅₃	1	4	yes	complemented
2053	#121	C₂²×D₅₃	1	4	yes	complemented
2054	#121	C₂²×D₅₃	1	4	yes	complemented
2055	#120	—	53	4	no	—
2056	#120	—	53	4	no	—
2057	#120	—	53	4	no	—
2058	#120	—	53	4	no	—
2059	#120	—	53	4	no	—
2060	#120	—	53	4	no	—
2061	#120	—	53	4	no	—
2062	#120	—	53	4	no	—
2063	#120	—	53	4	no	—
2064	#120	—	53	4	no	—
2065	#120	—	53	4	no	—
2066	#120	—	53	4	no	—
2067	#120	—	53	4	no	—
2068	#120	—	53	4	no	—
2069	#120	—	53	4	no	—
2070	#120	—	53	4	no	—
2071	#120	—	53	4	no	—
2072	#120	—	53	4	no	—
2073	#120	—	53	4	no	—
2074	#120	—	53	4	no	—
2075	#120	—	53	4	no	—
2076	#120	—	53	4	no	—
2077	#120	—	53	4	no	—
2078	#120	—	53	4	no	—
2079	#120	—	53	4	no	—
2080	#120	—	53	4	no	—
2081	#120	—	53	4	no	—
2082	#120	—	53	4	no	—
2083	#120	C₂²×D₅₃	1	4	yes	—
2084	#120	C₂²×D₅₃	1	4	yes	complemented
2085	#120	C₂²×D₅₃	1	4	yes	complemented
2086	#120	C₂²×D₅₃	1	4	yes	complemented
2087	C₄×Q₈	—	53	1	no	—
2088	C₄×Q₈	—	53	2	no	—
2089	C₄×Q₈	—	53	2	no	—
2090	C₄×Q₈	—	53	1	no	—
2091	C₄×Q₈	—	53	4	no	—
2092	C₄×Q₈	—	53	2	no	—
2093	C₄×Q₈	—	53	2	no	—
2094	C₄×Q₈	—	53	1	no	—
2095	C₄×Q₈	—	53	4	no	—
2096	C₄×Q₈	—	53	2	no	—
2097	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
2098	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
2099	C₄×D₄	—	53	1	no	—
2100	C₄×D₄	—	53	2	no	—
2101	C₄×D₄	—	53	2	no	—
2102	C₄×D₄	—	53	1	no	—
2103	C₄×D₄	—	53	2	no	—
2104	C₄×D₄	—	53	2	no	—
2105	C₄×D₄	—	53	1	no	—
2106	C₄×D₄	—	53	4	no	—
2107	C₄×D₄	—	53	2	no	—
2108	C₄×D₄	—	53	2	no	—
2109	C₄×D₄	—	53	2	no	—
2110	C₄×D₄	—	53	2	no	—
2111	C₄×D₄	—	53	4	no	—
2112	C₄×D₄	—	53	2	no	—
2113	C₄×D₄	—	53	2	no	—
2114	C₄×D₄	—	53	2	no	—
2115	C₄×D₄	—	53	4	no	—
2116	C₄×D₄	—	53	2	no	—
2117	C₄×D₄	—	53	4	no	—
2118	C₄×D₄	—	53	4	no	—
2119	C₄×D₄	—	53	4	no	—
2120	C₄×D₄	—	53	1	no	—
2121	C₄×D₄	—	53	2	no	—
2122	C₄×D₄	—	53	2	no	—
2123	C₄×D₄	—	53	1	no	—
2124	C₄×D₄	—	53	2	no	—
2125	C₄×D₄	—	53	2	no	—
2126	C₄×D₄	—	53	1	no	—
2127	C₄×D₄	—	53	4	no	—
2128	C₄×D₄	—	53	2	no	—
2129	C₄×D₄	—	53	2	no	—
2130	C₄×D₄	—	53	2	no	—
2131	C₄×D₄	—	53	2	no	—
2132	C₄×D₄	—	53	4	no	—
2133	C₄×D₄	—	53	2	no	—
2134	C₄×D₄	—	53	2	no	—
2135	C₄×D₄	—	53	2	no	—
2136	C₄×D₄	—	53	4	no	—
2137	C₄×D₄	—	53	2	no	—
2138	C₄×D₄	—	53	4	no	—
2139	C₄×D₄	—	53	4	no	—
2140	C₄×D₄	—	53	4	no	—
2141	C₄×D₄	—	53	1	no	—
2142	C₄×D₄	—	53	2	no	—
2143	C₄×D₄	—	53	2	no	—
2144	C₄×D₄	—	53	1	no	—
2145	C₄×D₄	—	53	2	no	—
2146	C₄×D₄	—	53	2	no	—
2147	C₄×D₄	—	53	1	no	—
2148	C₄×D₄	—	53	4	no	—
2149	C₄×D₄	—	53	2	no	—
2150	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2151	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2152	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2153	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2154	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2155	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2156	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2157	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2158	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2159	#117	—	53	2	no	—
2160	#117	—	53	2	no	—
2161	#117	—	53	2	no	—
2162	#117	—	53	2	no	—
2163	#117	—	53	2	no	—
2164	#117	—	53	2	no	—
2165	#117	—	53	2	no	—
2166	#117	—	53	2	no	—
2167	#117	—	53	4	no	—
2168	#117	—	53	2	no	—
2169	#117	—	53	2	no	—
2170	#117	—	53	4	no	—
2171	#117	C₂²×D₅₃	1	2	yes	complemented
2172	#117	C₂²×D₅₃	1	2	yes	complemented
2173	C₂×C₄⋊C₄	—	53	4	no	—
2174	C₂×C₄⋊C₄	—	53	2	no	—
2175	C₂×C₄⋊C₄	—	53	1	no	—
2176	C₂×C₄⋊C₄	—	53	2	no	—
2177	C₂×C₄⋊C₄	—	53	4	no	—
2178	C₂×C₄⋊C₄	—	53	4	no	—
2179	C₂×C₄⋊C₄	—	53	2	no	—
2180	C₂×C₄⋊C₄	—	53	2	no	—
2181	C₂×C₄⋊C₄	—	53	1	no	—
2182	C₂×C₄⋊C₄	—	53	2	no	—
2183	C₂×C₄⋊C₄	—	53	2	no	—
2184	C₂×C₄⋊C₄	—	53	1	no	—
2185	C₂×C₄⋊C₄	—	53	2	no	—
2186	C₂×C₄⋊C₄	—	53	1	no	—
2187	C₂×C₄⋊C₄	—	53	2	no	—
2188	C₂×C₄⋊C₄	—	53	2	no	—
2189	C₂×C₄⋊C₄	—	53	4	no	—
2190	C₂×C₄⋊C₄	—	53	2	no	—
2191	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2192	C₂×C₂²⋊C₄	—	53	4	no	—
2193	C₂×C₂²⋊C₄	—	53	4	no	—
2194	C₂×C₂²⋊C₄	—	53	4	no	—
2195	C₂×C₂²⋊C₄	—	53	2	no	—
2196	C₂×C₂²⋊C₄	—	53	2	no	—
2197	C₂×C₂²⋊C₄	—	53	4	no	—
2198	C₂×C₂²⋊C₄	—	53	4	no	—
2199	C₂×C₂²⋊C₄	—	53	4	no	—
2200	C₂×C₂²⋊C₄	—	53	4	no	—
2201	C₂×C₂²⋊C₄	—	53	4	no	—
2202	C₂×C₂²⋊C₄	—	53	4	no	—
2203	C₂×C₂²⋊C₄	—	53	4	no	—
2204	C₂×C₂²⋊C₄	—	53	2	no	—
2205	C₂×C₂²⋊C₄	—	53	2	no	—
2206	C₂×C₂²⋊C₄	—	53	2	no	—
2207	C₂×C₂²⋊C₄	—	53	2	no	—
2208	C₂×C₂²⋊C₄	—	53	2	no	—
2209	C₂×C₂²⋊C₄	—	53	4	no	—
2210	C₂×C₂²⋊C₄	—	53	4	no	—
2211	C₂×C₂²⋊C₄	—	53	4	no	—
2212	C₂×C₂²⋊C₄	—	53	4	no	—
2213	C₂×C₂²⋊C₄	—	53	2	no	—
2214	C₂×C₂²⋊C₄	—	53	2	no	—
2215	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
2216	C₂×C₄²	—	53	1	no	—
2217	C₂×C₄²	—	53	1	no	—
2218	C₂×C₄²	—	53	1	no	—
2219	C₂×C₄²	—	53	1	no	—
2220	C₂×C₄²	—	53	2	no	—
2221	C₂×C₄²	—	53	4	no	—
2222	C₂×C₄²	—	53	1	no	—
2223	C₂×C₄²	—	53	1	no	—
2224	C₂×C₄²	—	53	1	no	—
2225	C₂×C₄²	—	53	1	no	—
2226	C₂×C₄²	—	53	1	no	—
2227	C₂×C₄²	—	53	1	no	—
2228	C₂×C₄²	—	53	1	no	—
2229	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic, complemented
2230	C₂⁴	—	53	2	no	—
2231	C₂⁴	—	53	2	no	—
2232	C₂⁴	—	53	4	no	—
2233	C₂⁴	—	53	1	no	—
2234	C₂⁴	—	53	2	no	—
2235	C₂⁴	—	53	4	no	—
2236	C₂⁴	—	53	4	no	—
2237	C₂⁴	—	53	4	no	—
2238	C₂⁴	—	212	8	no	—
2239	C₂⁴	—	212	8	no	—
2240	C₂⁴	—	212	8	no	—
2241	C₂⁴	C₂³×D₅₃	1	4	yes	—
2242	#41	—	4	4	no	—
2243	#41	—	4	4	no	—
2244	#41	—	4	4	no	—
2245	#41	—	4	4	no	—
2246	#41	—	212	4	no	—
2247	#41	—	212	4	no	—
2248	#41	—	212	4	no	—
2249	#41	—	212	4	no	—
2250	#41	—	212	4	no	—
2251	#41	—	212	4	no	—
2252	#41	—	212	8	no	—
2253	#41	—	212	8	no	—
2254	#41	—	212	8	no	—
2255	#41	—	212	4	no	—
2256	#41	—	212	4	no	—
2257	#41	—	212	4	no	—
2258	#41	—	212	4	no	—
2259	#41	—	212	4	no	—
2260	#41	—	212	4	no	—
2261	#41	—	212	4	no	—
2262	#41	—	212	8	no	—
2263	#41	—	212	8	no	—
2264	#41	—	212	8	no	—
2265	#41	—	212	4	no	—
2266	#41	—	212	4	no	—
2267	#41	—	212	4	no	—
2268	C₂×Q₈	—	53	2	no	—
2269	C₂×Q₈	—	53	1	no	—
2270	C₂×Q₈	—	53	4	no	—
2271	C₂×Q₈	—	53	2	no	—
2272	C₂×Q₈	—	53	2	no	—
2273	C₂×Q₈	—	53	2	no	—
2274	C₂×Q₈	—	53	2	no	—
2275	C₂×Q₈	—	106	4	no	—
2276	C₂×Q₈	—	106	8	no	—
2277	C₂×Q₈	—	212	4	no	—
2278	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2279	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2280	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2281	C₂×D₄	—	4	4	no	—
2282	C₂×D₄	—	4	4	no	—
2283	C₂×D₄	—	53	2	no	—
2284	C₂×D₄	—	53	4	no	—
2285	C₂×D₄	—	53	2	no	—
2286	C₂×D₄	—	53	4	no	—
2287	C₂×D₄	—	53	2	no	—
2288	C₂×D₄	—	53	2	no	—
2289	C₂×D₄	—	53	4	no	—
2290	C₂×D₄	—	53	2	no	—
2291	C₂×D₄	—	53	2	no	—
2292	C₂×D₄	—	53	2	no	—
2293	C₂×D₄	—	53	4	no	—
2294	C₂×D₄	—	53	4	no	—
2295	C₂×D₄	—	53	2	no	—
2296	C₂×D₄	—	53	2	no	—
2297	C₂×D₄	—	53	4	no	—
2298	C₂×D₄	—	53	4	no	—
2299	C₂×D₄	—	53	2	no	—
2300	C₂×D₄	—	53	2	no	—
2301	C₂×D₄	—	53	4	no	—
2302	C₂×D₄	—	53	4	no	—
2303	C₂×D₄	—	53	4	no	—
2304	C₂×D₄	—	53	4	no	—
2305	C₂×D₄	—	53	4	no	—
2306	C₂×D₄	—	53	4	no	—
2307	C₂×D₄	—	53	4	no	—
2308	C₂×D₄	—	53	4	no	—
2309	C₂×D₄	—	53	2	no	—
2310	C₂×D₄	—	53	2	no	—
2311	C₂×D₄	—	53	1	no	—
2312	C₂×D₄	—	53	2	no	—
2313	C₂×D₄	—	53	1	no	—
2314	C₂×D₄	—	53	2	no	—
2315	C₂×D₄	—	53	1	no	—
2316	C₂×D₄	—	53	2	no	—
2317	C₂×D₄	—	53	2	no	—
2318	C₂×D₄	—	53	2	no	—
2319	C₂×D₄	—	53	4	no	—
2320	C₂×D₄	—	53	2	no	—
2321	C₂×D₄	—	53	4	no	—
2322	C₂×D₄	—	53	2	no	—
2323	C₂×D₄	—	53	4	no	—
2324	C₂×D₄	—	53	4	no	—
2325	C₂×D₄	—	53	4	no	—
2326	C₂×D₄	—	53	4	no	—
2327	C₂×D₄	—	53	2	no	—
2328	C₂×D₄	—	106	4	no	—
2329	C₂×D₄	—	106	4	no	—
2330	C₂×D₄	—	106	8	no	—
2331	C₂×D₄	—	106	8	no	—
2332	C₂×D₄	—	106	4	no	—
2333	C₂×D₄	—	212	4	no	—
2334	C₂×D₄	—	212	4	no	—
2335	C₂×D₄	—	212	4	no	—
2336	C₂×D₄	—	212	4	no	—
2337	C₂×D₄	—	212	4	no	—
2338	C₂×D₄	—	212	4	no	—
2339	C₂×D₄	—	212	8	no	—
2340	C₂×D₄	—	212	8	no	—
2341	C₂×D₄	—	212	4	no	—
2342	C₂×D₄	—	212	4	no	—
2343	C₂×D₄	—	212	4	no	—
2344	C₂×D₄	—	212	8	no	—
2345	C₂×D₄	—	212	8	no	—
2346	C₂×D₄	—	212	8	no	—
2347	C₂×D₄	—	212	4	no	—
2348	C₂×D₄	—	212	4	no	—
2349	C₂×D₄	—	212	4	no	—
2350	C₂×D₄	—	212	8	no	—
2351	C₂×D₄	—	212	8	no	—
2352	C₂×D₄	—	212	8	no	—
2353	C₂×D₄	—	212	8	no	—
2354	C₂×D₄	—	212	8	no	—
2355	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2356	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2357	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2358	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2359	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2360	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2361	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2362	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2363	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2364	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2365	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2366	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2367	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2368	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2369	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2370	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2371	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2372	C₂²×C₄	—	53	1	no	—
2373	C₂²×C₄	—	53	1	no	—
2374	C₂²×C₄	—	53	1	no	—
2375	C₂²×C₄	—	53	1	no	—
2376	C₂²×C₄	—	53	2	no	—
2377	C₂²×C₄	—	53	2	no	—
2378	C₂²×C₄	—	53	2	no	—
2379	C₂²×C₄	—	53	1	no	—
2380	C₂²×C₄	—	53	4	no	—
2381	C₂²×C₄	—	53	4	no	—
2382	C₂²×C₄	—	53	4	no	—
2383	C₂²×C₄	—	53	2	no	—
2384	C₂²×C₄	—	53	1	no	—
2385	C₂²×C₄	—	53	1	no	—
2386	C₂²×C₄	—	53	1	no	—
2387	C₂²×C₄	—	53	1	no	—
2388	C₂²×C₄	—	53	2	no	—
2389	C₂²×C₄	—	53	1	no	—
2390	C₂²×C₄	—	53	1	no	—
2391	C₂²×C₄	—	53	1	no	—
2392	C₂²×C₄	—	53	1	no	—
2393	C₂²×C₄	—	53	2	no	—
2394	C₂²×C₄	—	53	4	no	—
2395	C₂²×C₄	—	53	2	no	—
2396	C₂²×C₄	—	53	2	no	—
2397	C₂²×C₄	—	53	2	no	—
2398	C₂²×C₄	—	53	2	no	—
2399	C₂²×C₄	—	53	2	no	—
2400	C₂²×C₄	—	53	2	no	—
2401	C₂²×C₄	—	53	2	no	—
2402	C₂²×C₄	—	53	2	no	—
2403	C₂²×C₄	—	53	1	no	—
2404	C₂²×C₄	—	53	1	no	—
2405	C₂²×C₄	—	53	4	no	—
2406	C₂²×C₄	—	53	4	no	—
2407	C₂²×C₄	—	53	4	no	—
2408	C₂²×C₄	—	53	4	no	—
2409	C₂²×C₄	—	53	4	no	—
2410	C₂²×C₄	—	53	4	no	—
2411	C₂²×C₄	—	106	8	no	—
2412	C₂²×C₄	—	106	8	no	—
2413	C₂²×C₄	—	106	8	no	—
2414	C₂²×C₄	—	106	4	no	—
2415	C₂²×C₄	—	106	4	no	—
2416	C₂²×C₄	—	212	2	no	—
2417	C₂²×C₄	—	212	8	no	—
2418	C₂²×C₄	—	212	8	no	—
2419	C₂²×C₄	—	212	8	no	—
2420	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2421	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2422	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2423	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2424	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2425	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2426	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2427	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2428	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2429	C₄⋊C₄	—	53	2	no	—
2430	C₄⋊C₄	—	53	1	no	—
2431	C₄⋊C₄	—	53	4	no	—
2432	C₄⋊C₄	—	53	2	no	—
2433	C₄⋊C₄	—	53	4	no	—
2434	C₄⋊C₄	—	53	4	no	—
2435	C₄⋊C₄	—	53	4	no	—
2436	C₄⋊C₄	—	53	2	no	—
2437	C₄⋊C₄	—	53	1	no	—
2438	C₄⋊C₄	—	53	2	no	—
2439	C₄⋊C₄	—	53	2	no	—
2440	C₄⋊C₄	—	53	2	no	—
2441	C₄⋊C₄	—	53	2	no	—
2442	C₄⋊C₄	—	53	2	no	—
2443	C₄⋊C₄	—	53	2	no	—
2444	C₄⋊C₄	—	53	2	no	—
2445	C₄⋊C₄	—	53	1	no	—
2446	C₄⋊C₄	—	53	2	no	—
2447	C₄⋊C₄	—	53	2	no	—
2448	C₄⋊C₄	—	53	2	no	—
2449	C₄⋊C₄	—	53	2	no	—
2450	C₄⋊C₄	—	53	1	no	—
2451	C₄⋊C₄	—	53	2	no	—
2452	C₄⋊C₄	—	53	4	no	—
2453	C₄⋊C₄	—	53	2	no	—
2454	C₄⋊C₄	—	53	2	no	—
2455	C₄⋊C₄	—	53	2	no	—
2456	C₄⋊C₄	—	53	4	no	—
2457	C₄⋊C₄	—	53	4	no	—
2458	C₄⋊C₄	—	53	4	no	—
2459	C₄⋊C₄	—	53	2	no	—
2460	C₄⋊C₄	—	53	2	no	—
2461	C₄⋊C₄	—	53	2	no	—
2462	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2463	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2464	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2465	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2466	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2467	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2468	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2469	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2470	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2471	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2472	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2473	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2474	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2475	C₂²⋊C₄	—	53	2	no	—
2476	C₂²⋊C₄	—	53	2	no	—
2477	C₂²⋊C₄	—	53	4	no	—
2478	C₂²⋊C₄	—	53	4	no	—
2479	C₂²⋊C₄	—	53	4	no	—
2480	C₂²⋊C₄	—	53	2	no	—
2481	C₂²⋊C₄	—	53	2	no	—
2482	C₂²⋊C₄	—	53	2	no	—
2483	C₂²⋊C₄	—	53	2	no	—
2484	C₂²⋊C₄	—	53	2	no	—
2485	C₂²⋊C₄	—	53	4	no	—
2486	C₂²⋊C₄	—	53	4	no	—
2487	C₂²⋊C₄	—	53	4	no	—
2488	C₂²⋊C₄	—	53	4	no	—
2489	C₂²⋊C₄	—	53	2	no	—
2490	C₂²⋊C₄	—	53	2	no	—
2491	C₂²⋊C₄	—	53	2	no	—
2492	C₂²⋊C₄	—	53	2	no	—
2493	C₂²⋊C₄	—	53	2	no	—
2494	C₂²⋊C₄	—	53	2	no	—
2495	C₂²⋊C₄	—	53	4	no	—
2496	C₂²⋊C₄	—	53	4	no	—
2497	C₂²⋊C₄	—	53	4	no	—
2498	C₂²⋊C₄	—	53	4	no	—
2499	C₂²⋊C₄	—	53	4	no	—
2500	C₂²⋊C₄	—	53	4	no	—
2501	C₂²⋊C₄	—	53	2	no	—
2502	C₂²⋊C₄	—	53	2	no	—
2503	C₂²⋊C₄	—	53	2	no	—
2504	C₂²⋊C₄	—	53	2	no	—
2505	C₂²⋊C₄	—	53	2	no	—
2506	C₂²⋊C₄	—	53	2	no	—
2507	C₂²⋊C₄	—	53	2	no	—
2508	C₂²⋊C₄	—	53	2	no	—
2509	C₂²⋊C₄	—	53	2	no	—
2510	C₂²⋊C₄	—	53	2	no	—
2511	C₂²⋊C₄	—	53	4	no	—
2512	C₂²⋊C₄	—	53	4	no	—
2513	C₂²⋊C₄	—	53	4	no	—
2514	C₂²⋊C₄	—	53	4	no	—
2515	C₂²⋊C₄	—	53	4	no	—
2516	C₂²⋊C₄	—	53	4	no	—
2517	C₂²⋊C₄	—	53	4	no	—
2518	C₂²⋊C₄	—	53	4	no	—
2519	C₂²⋊C₄	—	53	2	no	—
2520	C₂²⋊C₄	—	53	2	no	—
2521	C₂²⋊C₄	—	53	2	no	—
2522	C₂²⋊C₄	—	53	2	no	—
2523	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2524	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2525	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2526	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2527	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2528	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2529	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2530	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2531	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2532	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2533	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2534	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2535	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2536	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2537	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2538	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2539	C₄²	—	53	1	no	—
2540	C₄²	—	53	1	no	—
2541	C₄²	—	53	1	no	—
2542	C₄²	—	53	1	no	—
2543	C₄²	—	53	1	no	—
2544	C₄²	—	53	1	no	—
2545	C₄²	—	53	1	no	—
2546	C₄²	—	53	1	no	—
2547	C₄²	—	53	1	no	—
2548	C₄²	—	53	1	no	—
2549	C₄²	—	53	1	no	—
2550	C₄²	—	53	1	no	—
2551	C₄²	—	53	2	no	—
2552	C₄²	—	53	2	no	—
2553	C₄²	—	53	2	no	—
2554	C₄²	—	53	4	no	—
2555	C₄²	—	53	4	no	—
2556	C₄²	—	53	4	no	—
2557	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2558	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2559	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2560	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2561	C₄²	C₂³×D₅₃	1	2	yes	—
2562	C₄²	C₂³×D₅₃	1	4	yes	—
2563	C₂³	—	4	4	no	—
2564	C₂³	—	4	4	no	—
2565	C₂³	—	4	4	no	—
2566	C₂³	—	53	1	no	—
2567	C₂³	—	53	2	no	—
2568	C₂³	—	53	2	no	—
2569	C₂³	—	53	4	no	—
2570	C₂³	—	53	1	no	—
2571	C₂³	—	53	2	no	—
2572	C₂³	—	106	2	no	—
2573	C₂³	—	106	4	no	—
2574	C₂³	—	106	2	no	—
2575	C₂³	—	106	4	no	—
2576	C₂³	—	106	4	no	—
2577	C₂³	—	106	4	no	—
2578	C₂³	—	106	8	no	—
2579	C₂³	—	106	8	no	—
2580	C₂³	—	106	2	no	—
2581	C₂³	—	106	4	no	—
2582	C₂³	—	106	4	no	—
2583	C₂³	—	106	4	no	—
2584	C₂³	—	106	8	no	—
2585	C₂³	—	106	4	no	—
2586	C₂³	—	106	4	no	—
2587	C₂³	—	424	32	no	—
2588	C₂³	—	212	4	no	—
2589	C₂³	—	212	4	no	—
2590	C₂³	—	212	4	no	—
2591	C₂³	—	212	4	no	—
2592	C₂³	—	212	4	no	—
2593	C₂³	—	212	4	no	—
2594	C₂³	—	212	4	no	—
2595	C₂³	—	212	4	no	—
2596	C₂³	—	212	4	no	—
2597	C₂³	C₂⁴×D₅₃	1	2	yes	—
2598	C₂³	C₂⁴×D₅₃	1	2	yes	—
2599	C₂³	C₂⁴×D₅₃	1	4	yes	—
2600	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2601	C₂³	C₂⁴×D₅₃	1	2	yes	—
2602	Q₈	—	2	2	no	—
2603	Q₈	—	2	4	no	—
2604	Q₈	—	4	2	no	—
2605	Q₈	—	106	4	no	—
2606	Q₈	—	106	8	no	—
2607	Q₈	—	106	2	no	—
2608	Q₈	—	106	4	no	—
2609	Q₈	—	212	2	no	—
2610	Q₈	—	212	2	no	—
2611	Q₈	—	212	2	no	—
2612	D₄	—	2	2	no	—
2613	D₄	—	2	2	no	—
2614	D₄	—	2	4	no	—
2615	D₄	—	2	4	no	—
2616	D₄	—	2	2	no	—
2617	D₄	—	4	4	no	—
2618	D₄	—	4	4	no	—
2619	D₄	—	4	2	no	—
2620	D₄	—	4	2	no	—
2621	D₄	—	4	2	no	—
2622	D₄	—	4	4	no	—
2623	D₄	—	4	2	no	—
2624	D₄	—	4	2	no	—
2625	D₄	—	4	2	no	—
2626	D₄	—	4	4	no	—
2627	D₄	—	4	4	no	—
2628	D₄	—	4	4	no	—
2629	D₄	—	106	4	no	—
2630	D₄	—	106	4	no	—
2631	D₄	—	106	8	no	—
2632	D₄	—	106	8	no	—
2633	D₄	—	106	4	no	—
2634	D₄	—	106	2	no	—
2635	D₄	—	106	2	no	—
2636	D₄	—	106	4	no	—
2637	D₄	—	106	4	no	—
2638	D₄	—	106	2	no	—
2639	D₄	—	212	2	no	—
2640	D₄	—	212	2	no	—
2641	D₄	—	212	2	no	—
2642	D₄	—	212	4	no	—
2643	D₄	—	212	4	no	—
2644	D₄	—	212	4	no	—
2645	D₄	—	212	2	no	—
2646	D₄	—	212	2	no	—
2647	D₄	—	212	2	no	—
2648	D₄	—	212	4	no	—
2649	D₄	—	212	4	no	—
2650	D₄	—	212	4	no	—
2651	D₄	—	212	2	no	—
2652	D₄	—	212	4	no	—
2653	D₄	—	212	2	no	—
2654	D₄	—	212	2	no	—
2655	D₄	—	212	4	no	—
2656	D₄	—	212	4	no	—
2657	D₄	—	212	2	no	—
2658	D₄	—	212	4	no	—
2659	D₄	—	212	4	no	—
2660	D₄	—	212	4	no	—
2661	D₄	—	212	4	no	—
2662	D₄	—	212	2	no	—
2663	D₄	—	212	2	no	—
2664	D₄	—	212	2	no	—
2665	D₄	—	212	2	no	—
2666	D₄	—	212	2	no	—
2667	D₄	—	212	2	no	—
2668	D₄	—	212	4	no	—
2669	D₄	—	212	4	no	—
2670	D₄	—	212	4	no	—
2671	D₄	—	212	4	no	—
2672	D₄	—	212	4	no	—
2673	D₄	—	212	4	no	—
2674	C₂×C₄	—	2	4	no	—
2675	C₂×C₄	—	2	4	no	—
2676	C₂×C₄	—	2	2	no	—
2677	C₂×C₄	—	2	4	no	—
2678	C₂×C₄	—	2	2	no	—
2679	C₂×C₄	—	4	1	no	—
2680	C₂×C₄	—	4	4	no	—
2681	C₂×C₄	—	4	4	no	—
2682	C₂×C₄	—	4	4	no	—
2683	C₂×C₄	—	53	1	no	—
2684	C₂×C₄	—	53	1	no	—
2685	C₂×C₄	—	53	4	no	—
2686	C₂×C₄	—	53	4	no	—
2687	C₂×C₄	—	53	2	no	—
2688	C₂×C₄	—	53	1	no	—
2689	C₂×C₄	—	53	1	no	—
2690	C₂×C₄	—	53	1	no	—
2691	C₂×C₄	—	53	1	no	—
2692	C₂×C₄	—	53	2	no	—
2693	C₂×C₄	—	53	2	no	—
2694	C₂×C₄	—	53	4	no	—
2695	C₂×C₄	—	53	2	no	—
2696	C₂×C₄	—	53	2	no	—
2697	C₂×C₄	—	106	4	no	—
2698	C₂×C₄	—	106	4	no	—
2699	C₂×C₄	—	106	2	no	—
2700	C₂×C₄	—	106	4	no	—
2701	C₂×C₄	—	106	2	no	—
2702	C₂×C₄	—	106	2	no	—
2703	C₂×C₄	—	106	4	no	—
2704	C₂×C₄	—	106	4	no	—
2705	C₂×C₄	—	106	4	no	—
2706	C₂×C₄	—	106	2	no	—
2707	C₂×C₄	—	106	4	no	—
2708	C₂×C₄	—	106	8	no	—
2709	C₂×C₄	—	106	2	no	—
2710	C₂×C₄	—	106	2	no	—
2711	C₂×C₄	—	106	4	no	—
2712	C₂×C₄	—	106	4	no	—
2713	C₂×C₄	—	106	4	no	—
2714	C₂×C₄	—	106	4	no	—
2715	C₂×C₄	—	106	2	no	—
2716	C₂×C₄	—	106	2	no	—
2717	C₂×C₄	—	106	4	no	—
2718	C₂×C₄	—	106	4	no	—
2719	C₂×C₄	—	106	2	no	—
2720	C₂×C₄	—	106	4	no	—
2721	C₂×C₄	—	106	2	no	—
2722	C₂×C₄	—	212	1	no	—
2723	C₂×C₄	—	212	1	no	—
2724	C₂×C₄	—	212	4	no	—
2725	C₂×C₄	—	212	4	no	—
2726	C₂×C₄	—	212	4	no	—
2727	C₂×C₄	—	212	4	no	—
2728	C₂×C₄	—	212	4	no	—
2729	C₂×C₄	—	212	4	no	—
2730	C₂×C₄	—	212	1	no	—
2731	C₂×C₄	—	212	4	no	—
2732	C₂×C₄	—	212	4	no	—
2733	C₂×C₄	—	212	4	no	—
2734	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2735	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2736	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2737	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2738	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2739	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2740	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2741	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2742	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2743	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2744	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2745	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2746	C₂²	—	2	1	no	—
2747	C₂²	—	2	1	no	—
2748	C₂²	—	2	2	no	—
2749	C₂²	—	2	2	no	—
2750	C₂²	—	2	2	no	—
2751	C₂²	—	2	2	no	—
2752	C₂²	—	2	4	no	—
2753	C₂²	—	2	4	no	—
2754	C₂²	—	2	2	no	—
2755	C₂²	—	2	2	no	—
2756	C₂²	—	2	1	no	—
2757	C₂²	—	2	2	no	—
2758	C₂²	—	2	4	no	—
2759	C₂²	—	2	2	no	—
2760	C₂²	—	2	2	no	—
2761	C₂²	—	8	8	no	—
2762	C₂²	—	53	2	no	—
2763	C₂²	—	53	2	no	—
2764	C₂²	—	53	2	no	—
2765	C₂²	—	106	1	no	—
2766	C₂²	—	106	1	no	—
2767	C₂²	—	106	2	no	—
2768	C₂²	—	106	2	no	—
2769	C₂²	—	106	2	no	—
2770	C₂²	—	106	2	no	—
2771	C₂²	—	106	4	no	—
2772	C₂²	—	106	4	no	—
2773	C₂²	—	106	2	no	—
2774	C₂²	—	106	2	no	—
2775	C₂²	—	106	1	no	—
2776	C₂²	—	106	2	no	—
2777	C₂²	—	106	4	no	—
2778	C₂²	—	106	2	no	—
2779	C₂²	—	106	2	no	—
2780	C₂²	—	424	8	no	—
2781	C₂²	—	424	8	no	—
2782	C₂²	—	424	8	no	—
2783	C₂²	—	212	8	no	—
2784	C₂²	—	212	8	no	—
2785	C₂²	—	212	16	no	—
2786	C₂²	—	212	4	no	—
2787	C₂²	—	212	8	no	—
2788	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2789	C₄	—	2	1	no	—
2790	C₄	—	2	2	no	—
2791	C₄	—	2	2	no	—
2792	C₄	—	2	2	no	—
2793	C₄	—	2	1	no	—
2794	C₄	—	2	4	no	—
2795	C₄	—	2	2	no	—
2796	C₄	—	2	1	no	—
2797	C₄	—	2	1	no	—
2798	C₄	—	2	2	no	—
2799	C₄	—	53	2	no	—
2800	C₄	—	53	2	no	—
2801	C₄	—	106	1	no	—
2802	C₄	—	106	2	no	—
2803	C₄	—	106	2	no	—
2804	C₄	—	106	2	no	—
2805	C₄	—	106	1	no	—
2806	C₄	—	106	4	no	—
2807	C₄	—	106	2	no	—
2808	C₄	—	106	1	no	—
2809	C₄	—	106	1	no	—
2810	C₄	—	106	2	no	—
2811	C₄	H(5,𝔽₂)×D₅₃	1	2	yes	—
2812	C₄	H(5,𝔽₂)×D₅₃	1	2	yes	—
2813	C₂	—	4	2	no	—
2814	C₂	—	4	2	no	—
2815	C₂	—	4	4	no	—
2816	C₂	—	4	1	no	—
2817	C₂	—	4	2	no	—
2818	C₂	—	53	4	no	—
2819	C₂	—	212	2	no	—
2820	C₂	—	212	2	no	—
2821	C₂	—	212	4	no	—
2822	C₂	—	212	1	no	—
2823	C₂	—	212	2	no	—
2824	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2825	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2826	C₂	#585×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3546	C₂
hypercenter	#3546	D₅₃
hypocenter	C₅₃	C₂×#3546
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3546

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #20289090	C₂	semidirect
2. #20289089	C₂	semidirect
3. #20289088	C₂	semidirect
4. #20289087	C₂	semidirect
5. #20289086	C₂	semidirect
6. #20289085	C₂	semidirect
7. #20289084	C₂	semidirect
8. #20289083	C₂	semidirect
9. #20289082	C₂	semidirect
10. #20289081	C₂	semidirect
11. #20289080	C₂	semidirect
12. #20289079	C₂	semidirect
13. #20289078	C₂	semidirect
14. #20289077	C₂	semidirect
15. #20289076	C₂	semidirect
16. #20289075	C₂	semidirect
17. #20289074	C₂	semidirect
18. #560×D₅₃	C₂	semidirect
19. #556×D₅₃	C₂	semidirect
20. #553×D₅₃	C₂	semidirect
21. #550×D₅₃	C₂	semidirect
22. #550×D₅₃	C₂	semidirect
23. #547×D₅₃	C₂	semidirect
24. #546×D₅₃	C₂	semidirect
25. #546×D₅₃	C₂	semidirect
26. D₄²×D₅₃	C₂	semidirect
27. #542×D₅₃	C₂	semidirect
28. #538×D₅₃	C₂	semidirect
29. #537×D₅₃	C₂	semidirect
30. #535×D₅₃	C₂	semidirect
31. #535×D₅₃	C₂	semidirect
32. #532×D₅₃	C₂	semidirect
33. #532×D₅₃	C₂	semidirect
34. #529×D₅₃	C₂	semidirect
35. C₅₃×#3546	C₂	semidirect
36. C₂×#41×D₅₃	C₂²	semidirect
37. C₂×#41×D₅₃	C₂²	semidirect
38. C₂×#41×D₅₃	C₂²	semidirect
39. C₂×#41×D₅₃	C₂²	semidirect
42. #16811364	C₂²	semidirect
43. #16811364	C₂²	semidirect
44. #16811363	C₂²	semidirect
45. #16811363	C₂²	semidirect
46. #16811363	C₂²	semidirect
47. #16811362	C₂²	semidirect
48. #16811362	C₂²	semidirect
49. #16811362	C₂²	semidirect
50. #16811361	C₂²	semidirect
51. #16811361	C₂²	semidirect
52. #16811361	C₂²	semidirect
53. #16811361	C₂²	semidirect
54. #16811361	C₂²	semidirect
55. #16811361	C₂²	semidirect
56. #16811360	C₂²	semidirect
57. #16811347	C₂²	semidirect
58. #16811346	C₂²	semidirect
59. #16811345	C₂²	semidirect
60. #16811344	C₂²	semidirect
61. #16811343	C₂²	semidirect
62. #16811342	C₂²	semidirect
63. #16811341	C₂²	semidirect
64. #16811340	C₂²	semidirect
65. #16811326	C₂²	semidirect
66. #16811325	C₂²	semidirect
67. #16811324	C₂²	semidirect
68. #16811323	C₂²	semidirect
69. #16811322	C₂²	semidirect
70. #16811321	C₂²	semidirect
71. #16811320	C₂²	semidirect
72. #16811319	C₂²	semidirect
73. #16811318	C₂²	semidirect
74. #16811317	C₂²	semidirect
75. #16811316	C₂²	semidirect
76. #16811295	C₂²	semidirect
77. #16811295	C₂²	semidirect
78. #16811294	C₂²	semidirect
79. #16811294	C₂²	semidirect
80. #16811294	C₂²	semidirect
81. #16811294	C₂²	semidirect
82. #16811293	C₂²	semidirect
83. #16811293	C₂²	semidirect
84. #16811293	C₂²	semidirect
85. #16811293	C₂²	semidirect
86. #16811292	C₂²	semidirect
87. #16811292	C₂²	semidirect
88. #16811292	C₂²	semidirect
89. #16811291	C₂²	semidirect
90. #16811291	C₂²	semidirect
91. #16811291	C₂²	semidirect
92. #16811291	C₂²	semidirect
93. #16811291	C₂²	semidirect
94. #16811291	C₂²	semidirect
95. #16811278	C₂²	semidirect
96. #16811277	C₂²	semidirect
97. #16811276	C₂²	semidirect
98. #16811275	C₂²	semidirect
99. #16811274	C₂²	semidirect
100. #16811273	C₂²	semidirect
101. #16811272	C₂²	semidirect
102. #16811271	C₂²	semidirect
103. #16811270	C₂²	semidirect
104. #16811270	C₂²	semidirect
105. #16811269	C₂²	semidirect
106. #16811269	C₂²	semidirect
107. #16811268	C₂²	semidirect
108. #16811268	C₂²	semidirect
109. #16811267	C₂²	semidirect
110. #16811267	C₂²	semidirect
111. #16811266	C₂²	semidirect
112. #16811266	C₂²	semidirect
113. #16811265	C₂²	semidirect
114. #16811265	C₂²	semidirect
115. #16811264	C₂²	semidirect
116. #16811264	C₂²	semidirect
117. #16811263	C₂²	semidirect
118. #16811263	C₂²	semidirect
119. #16811262	C₂²	semidirect
120. #16811262	C₂²	semidirect
121. #16811261	C₂²	semidirect
122. #16811261	C₂²	semidirect
123. #16811260	C₂²	semidirect
124. #16811260	C₂²	semidirect
125. D₄×D₂₁₂	C₂²	semidirect
126. D₄×D₂₁₂	C₂²	semidirect
127. #16811258	C₂²	semidirect
128. #16811257	C₂²	semidirect
129. #16811257	C₂²	semidirect
130. D₄×C₂²⋊D₅₃	C₂²	semidirect
131. D₄×C₂²⋊D₅₃	C₂²	semidirect
132. #16811255	C₂²	semidirect
133. #16811247	C₂²	semidirect
134. #16811246	C₂²	semidirect
135. #16811245	C₂²	semidirect
136. #16811244	C₂²	semidirect
137. #16811243	C₂²	semidirect
138. #16811242	C₂²	semidirect
139. #16811241	C₂²	semidirect
140. #16811240	C₂²	semidirect
141. #16811239	C₂²	semidirect
142. #16811238	C₂²	semidirect
143. #16811237	C₂²	semidirect
144. #16811213	C₂²	semidirect
145. #16811212	C₂²	semidirect
146. #16811212	C₂²	semidirect
147. #16811211	C₂²	semidirect
148. #16811210	C₂²	semidirect
149. #16811209	C₂²	semidirect
150. #16811209	C₂²	semidirect
151. #16811208	C₂²	semidirect
152. #16811208	C₂²	semidirect
153. #16811207	C₂²	semidirect
154. #16811207	C₂²	semidirect
155. #16811206	C₂²	semidirect
156. #16811206	C₂²	semidirect
157. #16811205	C₂²	semidirect
158. #16811205	C₂²	semidirect
159. #16811204	C₂²	semidirect
160. #16811203	C₂²	semidirect
161. #16811203	C₂²	semidirect
162. #16811203	C₂²	semidirect
163. #16811202	C₂²	semidirect
164. #16811202	C₂²	semidirect
165. #16811202	C₂²	semidirect
166. #16811201	C₂²	semidirect
167. #16811201	C₂²	semidirect
168. #16811200	C₂²	semidirect
169. #16811200	C₂²	semidirect
170. #16811192	C₂²	semidirect
171. #16811192	C₂²	semidirect
172. #16811191	C₂²	semidirect
173. #16811191	C₂²	semidirect
174. #16811191	C₂²	semidirect
175. #16811190	C₂²	semidirect
176. #16811190	C₂²	semidirect
177. #16811189	C₂²	semidirect
178. #16811189	C₂²	semidirect
179. #16811189	C₂²	semidirect
180. #16811189	C₂²	semidirect
181. #16811189	C₂²	semidirect
182. #16811189	C₂²	semidirect
183. #16811188	C₂²	semidirect
184. #16811188	C₂²	semidirect
185. #16811188	C₂²	semidirect
186. #16811188	C₂²	semidirect
187. #16811187	C₂²	semidirect
188. #16811187	C₂²	semidirect
189. #16811186	C₂²	semidirect
190. #16811186	C₂²	semidirect
191. #16811186	C₂²	semidirect
192. #16811174	C₂²	semidirect
193. #16811174	C₂²	semidirect
194. #16811173	C₂²	semidirect
195. #16811173	C₂²	semidirect
196. #16811172	C₂²	semidirect
197. #16811172	C₂²	semidirect
198. #16811171	C₂²	semidirect
199. #16811171	C₂²	semidirect
200. #16811170	C₂²	semidirect
201. #16811170	C₂²	semidirect
202. #16811170	C₂²	semidirect
203. #16811170	C₂²	semidirect
204. #16811170	C₂²	semidirect
205. #16811169	C₂²	semidirect
206. #16811169	C₂²	semidirect
207. #16811168	C₂²	semidirect
208. #16811168	C₂²	semidirect
209. #16811168	C₂²	semidirect
210. #16811168	C₂²	semidirect
211. #16811168	C₂²	semidirect
212. C₄⋊Q₈×D₅₃	C₂²	semidirect
213. C₄⋊Q₈×D₅₃	C₂²	semidirect
216. #127×D₅₃	C₂²	semidirect
217. #127×D₅₃	C₂²	semidirect
218. #16811160	C₂²	semidirect
219. #16811159	C₂²	semidirect
220. #16811158	C₂²	semidirect
221. #16811157	C₂²	semidirect
222. #16811156	C₂²	semidirect
223. #16811155	C₂²	semidirect
224. #16811154	C₂²	semidirect
225. #16811153	C₂²	semidirect
226. #16811152	C₂²	semidirect
227. #16811151	C₂²	semidirect
228. #16811150	C₂²	semidirect
229. #126×D₅₃	C₂²	semidirect
230. #126×D₅₃	C₂²	semidirect
231. #126×D₅₃	C₂²	semidirect
232. #125×D₅₃	C₂²	semidirect
235. #124×D₅₃	C₂²	semidirect
236. #124×D₅₃	C₂²	semidirect
237. #124×D₅₃	C₂²	semidirect
238. #123×D₅₃	C₂²	semidirect
239. #123×D₅₃	C₂²	semidirect
240. #123×D₅₃	C₂²	semidirect
241. #123×D₅₃	C₂²	semidirect
242. C₂²⋊Q₈×D₅₃	C₂²	semidirect
243. C₂²⋊Q₈×D₅₃	C₂²	semidirect
244. C₂²⋊Q₈×D₅₃	C₂²	semidirect
245. C₂²⋊Q₈×D₅₃	C₂²	semidirect
251. #121×D₅₃	C₂²	semidirect
252. #121×D₅₃	C₂²	semidirect
253. #121×D₅₃	C₂²	semidirect
254. #121×D₅₃	C₂²	semidirect
255. #121×D₅₃	C₂²	semidirect
256. #121×D₅₃	C₂²	semidirect
257. #121×D₅₃	C₂²	semidirect
258. #121×D₅₃	C₂²	semidirect
259. #121×D₅₃	C₂²	semidirect
260. #121×D₅₃	C₂²	semidirect
261. #121×D₅₃	C₂²	semidirect
263. #120×D₅₃	C₂²	semidirect
264. #120×D₅₃	C₂²	semidirect
265. #120×D₅₃	C₂²	semidirect
266. C₄×Q₈×D₅₃	C₂²	semidirect
267. C₄×Q₈×D₅₃	C₂²	semidirect
270. C₄×D₄×D₅₃	C₂²	semidirect
271. C₄×D₄×D₅₃	C₂²	semidirect
272. C₄×D₄×D₅₃	C₂²	semidirect
273. C₄×D₄×D₅₃	C₂²	semidirect
274. C₄×D₄×D₅₃	C₂²	semidirect
275. C₄×D₄×D₅₃	C₂²	semidirect
276. C₄×D₄×D₅₃	C₂²	semidirect
277. #117×D₅₃	C₂²	semidirect
278. #117×D₅₃	C₂²	semidirect
279. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
280. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
281. C₂×C₄²×D₅₃	C₂²	semidirect
282. C₅₃×#560	C₂²	semidirect
283. C₅₃×#556	C₂²	semidirect
284. C₅₃×#553	C₂²	semidirect
285. C₅₃×#550	C₂²	semidirect
286. C₅₃×#550	C₂²	semidirect
287. C₅₃×#547	C₂²	semidirect
288. C₅₃×#546	C₂²	semidirect
289. C₅₃×#546	C₂²	semidirect
290. D₄²×C₅₃	C₂²	semidirect
291. C₅₃×#542	C₂²	semidirect
292. C₅₃×#538	C₂²	semidirect
293. C₅₃×#537	C₂²	semidirect
294. C₅₃×#535	C₂²	semidirect
295. C₅₃×#535	C₂²	semidirect
296. C₅₃×#532	C₂²	semidirect
297. C₅₃×#532	C₂²	semidirect
298. C₅₃×#529	C₂²	semidirect
300. C₂×#11719949	C₂³	semidirect
301. C₂×#11719949	C₂³	semidirect
302. C₂×#11719949	C₂³	semidirect
303. C₂×#11719949	C₂³	semidirect
304. C₂×#11719945	C₂³	semidirect
305. C₂×#11719945	C₂³	semidirect
306. C₂×#11719945	C₂³	semidirect
307. C₂×#11719945	C₂³	semidirect
308. C₂×#11719945	C₂³	semidirect
309. C₂×#11719945	C₂³	semidirect
310. C₂×#11719945	C₂³	semidirect
311. C₂×#11719945	C₂³	semidirect
312. C₂×#11719945	C₂³	semidirect
313. C₂×#11719947	C₂³	semidirect
314. C₂×#11719947	C₂³	semidirect
315. C₂×#11719947	C₂³	semidirect
316. C₂×#11719947	C₂³	semidirect
317. C₂×#11719947	C₂³	semidirect
318. C₂×#11719947	C₂³	semidirect
319. C₂×#11719947	C₂³	semidirect
320. C₂×#11719947	C₂³	semidirect
321. C₂×#11719947	C₂³	semidirect
367. #13133217	C₂³	semidirect
368. #13133217	C₂³	semidirect
369. #13133216	C₂³	semidirect
370. #13133216	C₂³	semidirect
371. #13133216	C₂³	semidirect
372. #13133216	C₂³	semidirect
373. #13133216	C₂³	semidirect
374. #13133215	C₂³	semidirect
375. #13133215	C₂³	semidirect
378. #13133214	C₂³	semidirect
379. #13133214	C₂³	semidirect
387. #13133213	C₂³	semidirect
388. #13133213	C₂³	semidirect
389. #13133213	C₂³	semidirect
390. #13133213	C₂³	semidirect
391. #13133213	C₂³	semidirect
392. #13133213	C₂³	semidirect
393. #13133213	C₂³	semidirect
394. #13133213	C₂³	semidirect
395. #13133213	C₂³	semidirect
396. #13133213	C₂³	semidirect
397. #13133212	C₂³	semidirect
398. #13133212	C₂³	semidirect
399. #13133212	C₂³	semidirect
400. #13133212	C₂³	semidirect
401. #13133212	C₂³	semidirect
402. #13133212	C₂³	semidirect
403. #13133212	C₂³	semidirect
404. #13133212	C₂³	semidirect
405. #13133212	C₂³	semidirect
406. #13133211	C₂³	semidirect
407. #13133211	C₂³	semidirect
408. #13133211	C₂³	semidirect
409. #13133210	C₂³	semidirect
410. #13133210	C₂³	semidirect
411. #13133210	C₂³	semidirect
412. #13133210	C₂³	semidirect
413. #13133210	C₂³	semidirect
414. #13133210	C₂³	semidirect
415. #13133210	C₂³	semidirect
416. #13133210	C₂³	semidirect
417. #13133210	C₂³	semidirect
418. #13133209	C₂³	semidirect
419. #13133208	C₂³	semidirect
420. #13133208	C₂³	semidirect
421. #13133207	C₂³	semidirect
422. #13133207	C₂³	semidirect
425. #13133206	C₂³	semidirect
426. #13133206	C₂³	semidirect
427. #13133206	C₂³	semidirect
430. #13133205	C₂³	semidirect
431. #13133205	C₂³	semidirect
432. #13133205	C₂³	semidirect
435. #13133204	C₂³	semidirect
436. #13133204	C₂³	semidirect
437. #13133204	C₂³	semidirect
442. #13133203	C₂³	semidirect
443. #13133203	C₂³	semidirect
444. #13133203	C₂³	semidirect
445. #13133203	C₂³	semidirect
446. #13133203	C₂³	semidirect
447. #13133203	C₂³	semidirect
448. #13133203	C₂³	semidirect
449. #13133203	C₂³	semidirect
450. #13133203	C₂³	semidirect
451. #13133203	C₂³	semidirect
452. #13133202	C₂³	semidirect
453. #13133202	C₂³	semidirect
454. #13133202	C₂³	semidirect
455. #13133202	C₂³	semidirect
456. #13133202	C₂³	semidirect
457. #13133202	C₂³	semidirect
458. #13133202	C₂³	semidirect
459. #13133202	C₂³	semidirect
460. #13133201	C₂³	semidirect
461. #13133201	C₂³	semidirect
462. #13133201	C₂³	semidirect
463. #13133201	C₂³	semidirect
464. #13133200	C₂³	semidirect
465. #13133200	C₂³	semidirect
466. #13133200	C₂³	semidirect
467. #13133200	C₂³	semidirect
468. #13133199	C₂³	semidirect
469. #13133199	C₂³	semidirect
470. #13133199	C₂³	semidirect
471. #13133199	C₂³	semidirect
472. #13133199	C₂³	semidirect
473. #13133199	C₂³	semidirect
474. #13133199	C₂³	semidirect
475. #13133199	C₂³	semidirect
476. #13133198	C₂³	semidirect
477. #13133198	C₂³	semidirect
478. #13133198	C₂³	semidirect
479. #13133198	C₂³	semidirect
480. #13133197	C₂³	semidirect
481. #13133197	C₂³	semidirect
482. #13133197	C₂³	semidirect
483. #13133197	C₂³	semidirect
484. #13133196	C₂³	semidirect
485. #13133196	C₂³	semidirect
486. #13133196	C₂³	semidirect
487. #13133196	C₂³	semidirect
488. #13133195	C₂³	semidirect
489. #13133195	C₂³	semidirect
490. #13133195	C₂³	semidirect
491. #13133195	C₂³	semidirect
492. #13133195	C₂³	semidirect
493. #13133194	C₂³	semidirect
494. #13133194	C₂³	semidirect
495. #13133194	C₂³	semidirect
496. #13133194	C₂³	semidirect
497. #13133194	C₂³	semidirect
498. #13133193	C₂³	semidirect
499. #13133193	C₂³	semidirect
500. #13133193	C₂³	semidirect
501. #13133193	C₂³	semidirect
507. #13133192	C₂³	semidirect
508. #13133192	C₂³	semidirect
509. #13133192	C₂³	semidirect
510. #13133192	C₂³	semidirect
511. #13133192	C₂³	semidirect
512. #13133192	C₂³	semidirect
513. #13133192	C₂³	semidirect
514. #13133192	C₂³	semidirect
515. #13133192	C₂³	semidirect
516. #13133192	C₂³	semidirect
517. #13133192	C₂³	semidirect
523. #13133191	C₂³	semidirect
524. #13133191	C₂³	semidirect
525. #13133191	C₂³	semidirect
526. #13133191	C₂³	semidirect
527. #13133191	C₂³	semidirect
528. #13133191	C₂³	semidirect
529. #13133191	C₂³	semidirect
530. #13133191	C₂³	semidirect
531. #13133191	C₂³	semidirect
532. #13133191	C₂³	semidirect
533. #13133191	C₂³	semidirect
539. #13133190	C₂³	semidirect
540. #13133190	C₂³	semidirect
541. #13133190	C₂³	semidirect
542. #13133190	C₂³	semidirect
543. #13133190	C₂³	semidirect
544. #13133190	C₂³	semidirect
545. #13133190	C₂³	semidirect
546. #13133190	C₂³	semidirect
547. #13133190	C₂³	semidirect
548. #13133190	C₂³	semidirect
549. #13133190	C₂³	semidirect
550. #13133190	C₂³	semidirect
551. #13133190	C₂³	semidirect
552. #13133190	C₂³	semidirect
553. #13133190	C₂³	semidirect
554. #13133190	C₂³	semidirect
555. #13133190	C₂³	semidirect
556. #13133190	C₂³	semidirect
562. #13133189	C₂³	semidirect
563. #13133189	C₂³	semidirect
564. #13133189	C₂³	semidirect
565. #13133189	C₂³	semidirect
566. #13133189	C₂³	semidirect
567. #13133189	C₂³	semidirect
568. #13133189	C₂³	semidirect
569. #13133189	C₂³	semidirect
570. #13133189	C₂³	semidirect
571. #13133189	C₂³	semidirect
572. #13133189	C₂³	semidirect
573. #13133189	C₂³	semidirect
574. #13133189	C₂³	semidirect
575. #13133189	C₂³	semidirect
576. #13133189	C₂³	semidirect
577. #13133189	C₂³	semidirect
578. #13133189	C₂³	semidirect
579. #13133189	C₂³	semidirect
585. #13133188	C₂³	semidirect
586. #13133188	C₂³	semidirect
587. #13133188	C₂³	semidirect
588. #13133188	C₂³	semidirect
589. #13133188	C₂³	semidirect
590. #13133188	C₂³	semidirect
591. #13133188	C₂³	semidirect
592. #13133188	C₂³	semidirect
593. #13133188	C₂³	semidirect
594. #13133188	C₂³	semidirect
595. #13133188	C₂³	semidirect
599. #13133187	C₂³	semidirect
600. #13133187	C₂³	semidirect
601. #13133187	C₂³	semidirect
602. #13133187	C₂³	semidirect
603. #13133187	C₂³	semidirect
604. #13133187	C₂³	semidirect
605. #13133187	C₂³	semidirect
606. #13133187	C₂³	semidirect
607. #13133187	C₂³	semidirect
609. #13133186	C₂³	semidirect
610. #13133186	C₂³	semidirect
611. #13133186	C₂³	semidirect
615. #13133185	C₂³	semidirect
616. #13133185	C₂³	semidirect
617. #13133185	C₂³	semidirect
618. #13133185	C₂³	semidirect
619. #13133185	C₂³	semidirect
620. #13133185	C₂³	semidirect
621. #13133185	C₂³	semidirect
622. #13133185	C₂³	semidirect
623. #13133185	C₂³	semidirect
624. Q₈×Dic₅₃	C₂³	semidirect
625. Q₈×Dic₅₃	C₂³	semidirect
626. C₄×Dic₁₀₆	C₂³	semidirect
627. C₄×Dic₁₀₆	C₂³	semidirect
628. C₄×Dic₁₀₆	C₂³	semidirect
629. C₄×Dic₁₀₆	C₂³	semidirect
630. #13133182	C₂³	semidirect
631. #13133182	C₂³	semidirect
632. #13133182	C₂³	semidirect
633. #13133182	C₂³	semidirect
636. C₄×D₂₁₂	C₂³	semidirect
637. C₄×D₂₁₂	C₂³	semidirect
638. C₄×D₂₁₂	C₂³	semidirect
639. C₄×D₂₁₂	C₂³	semidirect
640. C₄×D₂₁₂	C₂³	semidirect
641. C₄×D₂₁₂	C₂³	semidirect
642. C₄×D₂₁₂	C₂³	semidirect
645. D₄×Dic₅₃	C₂³	semidirect
646. D₄×Dic₅₃	C₂³	semidirect
647. D₄×Dic₅₃	C₂³	semidirect
648. D₄×Dic₅₃	C₂³	semidirect
649. D₄×Dic₅₃	C₂³	semidirect
650. D₄×Dic₅₃	C₂³	semidirect
651. D₄×Dic₅₃	C₂³	semidirect
654. #13133179	C₂³	semidirect
655. #13133179	C₂³	semidirect
656. #13133179	C₂³	semidirect
657. #13133179	C₂³	semidirect
658. #13133179	C₂³	semidirect
659. #13133179	C₂³	semidirect
660. #13133179	C₂³	semidirect
663. C₄×C₂²⋊D₅₃	C₂³	semidirect
664. C₄×C₂²⋊D₅₃	C₂³	semidirect
665. C₄×C₂²⋊D₅₃	C₂³	semidirect
666. C₄×C₂²⋊D₅₃	C₂³	semidirect
667. C₄×C₂²⋊D₅₃	C₂³	semidirect
668. C₄×C₂²⋊D₅₃	C₂³	semidirect
669. C₄×C₂²⋊D₅₃	C₂³	semidirect
670. C₄×C₂²⋊D₅₃	C₂³	semidirect
671. C₄×C₂²⋊D₅₃	C₂³	semidirect
672. C₄×C₂²⋊D₅₃	C₂³	semidirect
675. #13133177	C₂³	semidirect
676. #13133177	C₂³	semidirect
677. #13133177	C₂³	semidirect
678. #13133177	C₂³	semidirect
679. #13133177	C₂³	semidirect
680. #13133177	C₂³	semidirect
681. #13133177	C₂³	semidirect
682. #13133177	C₂³	semidirect
683. #13133177	C₂³	semidirect
684. #13133177	C₂³	semidirect
685. #13133176	C₂³	semidirect
686. #13133176	C₂³	semidirect
687. #13133175	C₂³	semidirect
688. #13133175	C₂³	semidirect
689. #13133175	C₂³	semidirect
690. #13133175	C₂³	semidirect
691. #13133174	C₂³	semidirect
692. #13133174	C₂³	semidirect
693. #13133174	C₂³	semidirect
694. #13133173	C₂³	semidirect
695. #13133173	C₂³	semidirect
696. #13133173	C₂³	semidirect
697. C₂×C₄⋊Dic₅₃	C₂³	semidirect
698. C₂×#11719919	C₂³	semidirect
712. C₄⋊C₄×D₅₃	C₂³	semidirect
713. C₄⋊C₄×D₅₃	C₂³	semidirect
714. C₄⋊C₄×D₅₃	C₂³	semidirect
715. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
716. C₂×#11719921	C₂³	semidirect
717. C₂×#11719921	C₂³	semidirect
734. C₂²⋊C₄×D₅₃	C₂³	semidirect
735. C₂²⋊C₄×D₅₃	C₂³	semidirect
736. C₂²⋊C₄×D₅₃	C₂³	semidirect
737. C₂²⋊C₄×D₅₃	C₂³	semidirect
738. C₂×C₄×Dic₅₃	C₂³	semidirect
739. C₂×C₄×Dic₅₃	C₂³	semidirect
740. C₂×C₄×Dic₅₃	C₂³	semidirect
747. C₄²×D₅₃	C₂³	semidirect
748. C₄²×D₅₃	C₂³	semidirect
749. C₄²×D₅₃	C₂³	semidirect
750. C₄²×D₅₃	C₂³	semidirect
751. C₂×#41×C₅₃	C₂³	semidirect
752. C₂×#41×C₅₃	C₂³	semidirect
753. C₂×#41×C₅₃	C₂³	semidirect
754. C₂×#41×C₅₃	C₂³	semidirect
757. C₄⋊Q₈×C₅₃	C₂³	semidirect
758. C₄⋊Q₈×C₅₃	C₂³	semidirect
761. #127×C₅₃	C₂³	semidirect
762. #127×C₅₃	C₂³	semidirect
763. #126×C₅₃	C₂³	semidirect
764. #126×C₅₃	C₂³	semidirect
765. #126×C₅₃	C₂³	semidirect
766. #125×C₅₃	C₂³	semidirect
769. #124×C₅₃	C₂³	semidirect
770. #124×C₅₃	C₂³	semidirect
771. #124×C₅₃	C₂³	semidirect
772. #123×C₅₃	C₂³	semidirect
773. #123×C₅₃	C₂³	semidirect
774. #123×C₅₃	C₂³	semidirect
775. #123×C₅₃	C₂³	semidirect
776. C₂²⋊Q₈×C₅₃	C₂³	semidirect
777. C₂²⋊Q₈×C₅₃	C₂³	semidirect
778. C₂²⋊Q₈×C₅₃	C₂³	semidirect
779. C₂²⋊Q₈×C₅₃	C₂³	semidirect
785. #121×C₅₃	C₂³	semidirect
786. #121×C₅₃	C₂³	semidirect
787. #121×C₅₃	C₂³	semidirect
788. #121×C₅₃	C₂³	semidirect
789. #121×C₅₃	C₂³	semidirect
790. #121×C₅₃	C₂³	semidirect
791. #121×C₅₃	C₂³	semidirect
792. #121×C₅₃	C₂³	semidirect
793. #121×C₅₃	C₂³	semidirect
794. #121×C₅₃	C₂³	semidirect
795. #121×C₅₃	C₂³	semidirect
797. #120×C₅₃	C₂³	semidirect
798. #120×C₅₃	C₂³	semidirect
799. #120×C₅₃	C₂³	semidirect
800. C₄×Q₈×C₅₃	C₂³	semidirect
801. C₄×Q₈×C₅₃	C₂³	semidirect
804. C₄×D₄×C₅₃	C₂³	semidirect
805. C₄×D₄×C₅₃	C₂³	semidirect
806. C₄×D₄×C₅₃	C₂³	semidirect
807. C₄×D₄×C₅₃	C₂³	semidirect
808. C₄×D₄×C₅₃	C₂³	semidirect
809. C₄×D₄×C₅₃	C₂³	semidirect
810. C₄×D₄×C₅₃	C₂³	semidirect
811. #117×C₅₃	C₂³	semidirect
812. #117×C₅₃	C₂³	semidirect
813. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
814. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
815. C₂×C₄²×C₅₃	C₂³	semidirect
1417. #3546	D₅₃	direct (N × H)
1448. D₅₃	#3546	direct (N × H)
1470. #560	C₂×D₅₃	semidirect
1479. #556	C₂×D₅₃	semidirect
1491. #553	C₂×D₅₃	semidirect
1511. #550	C₂×D₅₃	semidirect
1512. #550	C₂×D₅₃	semidirect
1521. #547	C₂×D₅₃	semidirect
1544. #546	C₂×D₅₃	semidirect
1545. #546	C₂×D₅₃	semidirect
1554. D₄²	C₂×D₅₃	semidirect
1566. #542	C₂×D₅₃	semidirect
1582. #538	C₂×D₅₃	semidirect
1594. #537	C₂×D₅₃	semidirect
1617. #535	C₂×D₅₃	semidirect
1618. #535	C₂×D₅₃	semidirect
1639. #532	C₂×D₅₃	semidirect
1640. #532	C₂×D₅₃	semidirect
1658. #529	C₂×D₅₃	semidirect
1712. C₅₃	C₂×#3546	semidirect
1740. C₂×#41	C₂²×D₅₃	semidirect
1741. C₂×#41	C₂²×D₅₃	semidirect
1742. C₂×#41	C₂²×D₅₃	semidirect
1743. C₂×#41	C₂²×D₅₃	semidirect
1796. C₄⋊Q₈	C₂²×D₅₃	semidirect
1797. C₄⋊Q₈	C₂²×D₅₃	semidirect
1821. #127	C₂²×D₅₃	semidirect
1822. #127	C₂²×D₅₃	semidirect
1844. #126	C₂²×D₅₃	semidirect
1845. #126	C₂²×D₅₃	semidirect
1846. #126	C₂²×D₅₃	semidirect
1852. #125	C₂²×D₅₃	semidirect
1884. #124	C₂²×D₅₃	semidirect
1885. #124	C₂²×D₅₃	semidirect
1886. #124	C₂²×D₅₃	semidirect
1915. #123	C₂²×D₅₃	semidirect
1916. #123	C₂²×D₅₃	semidirect
1917. #123	C₂²×D₅₃	semidirect
1918. #123	C₂²×D₅₃	semidirect
1941. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1942. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1943. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1944. C₂²⋊Q₈	C₂²×D₅₃	semidirect
2044. #121	C₂²×D₅₃	semidirect
2045. #121	C₂²×D₅₃	semidirect
2046. #121	C₂²×D₅₃	semidirect
2047. #121	C₂²×D₅₃	semidirect
2048. #121	C₂²×D₅₃	semidirect
2049. #121	C₂²×D₅₃	semidirect
2050. #121	C₂²×D₅₃	semidirect
2051. #121	C₂²×D₅₃	semidirect
2052. #121	C₂²×D₅₃	semidirect
2053. #121	C₂²×D₅₃	semidirect
2054. #121	C₂²×D₅₃	semidirect
2084. #120	C₂²×D₅₃	semidirect
2085. #120	C₂²×D₅₃	semidirect
2086. #120	C₂²×D₅₃	semidirect
2097. C₄×Q₈	C₂²×D₅₃	semidirect
2098. C₄×Q₈	C₂²×D₅₃	semidirect
2152. C₄×D₄	C₂²×D₅₃	semidirect
2153. C₄×D₄	C₂²×D₅₃	semidirect
2154. C₄×D₄	C₂²×D₅₃	semidirect
2155. C₄×D₄	C₂²×D₅₃	semidirect
2156. C₄×D₄	C₂²×D₅₃	semidirect
2157. C₄×D₄	C₂²×D₅₃	semidirect
2158. C₄×D₄	C₂²×D₅₃	semidirect
2171. #117	C₂²×D₅₃	semidirect
2172. #117	C₂²×D₅₃	semidirect
2191. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2215. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2229. C₂×C₄²	C₂²×D₅₃	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#20289090	2
#20289089	2
#20289088	2
#20289087	2
#20289086	2
#20289085	2
#20289084	2
#20289083	2
#20289082	2
#20289081	2
#20289080	2
#20289079	2
#20289078	2
#20289077	2
#20289076	2
#20289075	2
#20289074	2
#560×D₅₃	2
#556×D₅₃	2
#553×D₅₃	2
#550×D₅₃	2
#547×D₅₃	2
#546×D₅₃	2
D₄²×D₅₃	2
#542×D₅₃	2
#538×D₅₃	2
#537×D₅₃	2
#535×D₅₃	2
#532×D₅₃	2
#529×D₅₃	2
C₅₃×#3546	2
C₂×#3546	53

Subgroups — D53×#3546 #28291723

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3546 #28291723