Subgroups — D₅₃×#3558 #28291414

Order 13568.

8122 conjugacy classes of subgroups.

The subgroup lattice has 2564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289238	C₂	1	1	yes	maximal, characteristic, complemented
2	#20289237	C₂	1	2	yes	maximal, complemented
3	#20289236	C₂	1	2	yes	maximal, complemented
4	#20289235	C₂	1	2	yes	maximal, complemented
5	#20289234	C₂	1	1	yes	maximal, characteristic, complemented
6	#20289233	C₂	1	2	yes	maximal, complemented
7	#20289232	C₂	1	2	yes	maximal, complemented
8	#20289231	C₂	1	1	yes	maximal, characteristic, complemented
9	#20289230	C₂	1	2	yes	maximal, complemented
10	#20289229	C₂	1	2	yes	maximal, complemented
11	#20289228	C₂	1	2	yes	maximal, complemented
12	#20289227	C₂	1	2	yes	maximal, complemented
13	#20289226	C₂	1	4	yes	maximal, complemented
14	#20289225	C₂	1	4	yes	maximal, complemented
15	#20289224	C₂	1	2	yes	maximal, complemented
16	#562×D₅₃	C₂	1	2	yes	maximal, complemented
17	H(3,𝔽₄)×D₅₃	C₂	1	2	yes	maximal, complemented
18	#559×D₅₃	C₂	1	2	yes	maximal, complemented
19	#548×D₅₃	C₂	1	2	yes	maximal, complemented
20	#546×D₅₃	C₂	1	2	yes	maximal, complemented
21	#546×D₅₃	C₂	1	4	yes	maximal, complemented
22	D₄²×D₅₃	C₂	1	2	yes	maximal, complemented
23	#542×D₅₃	C₂	1	2	yes	maximal, complemented
24	#538×D₅₃	C₂	1	4	yes	maximal, complemented
25	#538×D₅₃	C₂	1	2	yes	maximal, complemented
26	#535×D₅₃	C₂	1	2	yes	maximal, complemented
27	#534×D₅₃	C₂	1	2	yes	maximal, complemented
28	#532×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
29	#529×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#124×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#3558	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
33	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
34	C₂²×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
35	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
36	C₂²×D₄×D₅₃	C₂²	1	4	yes	complemented
37	C₂²×D₄×D₅₃	C₂²	1	2	yes	complemented
38	#16811371	C₂²	1	2	yes	complemented
39	#16811370	C₂²	1	4	yes	complemented
40	#16811370	C₂²	1	4	yes	complemented
41	#16811369	C₂²	1	4	yes	complemented
42	#16811369	C₂²	1	4	yes	complemented
43	#16811368	C₂²	1	4	yes	complemented
44	#16811368	C₂²	1	4	yes	complemented
45	#16811367	C₂²	1	2	yes	complemented
46	#16811367	C₂²	1	2	yes	complemented
47	#16811366	C₂²	1	4	yes	complemented
48	#16811366	C₂²	1	4	yes	complemented
49	#16811366	C₂²	1	4	yes	complemented
50	#16811365	C₂²	1	4	yes	complemented
51	#16811365	C₂²	1	4	yes	complemented
52	#16811365	C₂²	1	2	yes	complemented
53	#16811365	C₂²	1	2	yes	complemented
54	#16811365	C₂²	1	4	yes	complemented
55	#16811365	C₂²	1	2	yes	complemented
56	#16811359	C₂²	1	2	yes	complemented
57	#16811358	C₂²	1	2	yes	complemented
58	#16811358	C₂²	1	2	yes	complemented
59	#16811357	C₂²	1	4	yes	complemented
60	#16811357	C₂²	1	4	yes	complemented
61	#16811356	C₂²	1	2	yes	complemented
62	#16811356	C₂²	1	4	yes	complemented
63	#16811356	C₂²	1	2	yes	complemented
64	#16811355	C₂²	1	2	yes	complemented
65	#16811355	C₂²	1	4	yes	complemented
66	#16811355	C₂²	1	2	yes	complemented
67	#16811285	C₂²	1	2	yes	complemented
68	#16811284	C₂²	1	2	yes	complemented
69	#16811283	C₂²	1	2	yes	complemented
70	#16811283	C₂²	1	4	yes	complemented
71	#16811282	C₂²	1	4	yes	complemented
72	#16811282	C₂²	1	2	yes	complemented
73	#16811281	C₂²	1	4	yes	complemented
74	#16811281	C₂²	1	2	yes	complemented
75	#16811280	C₂²	1	2	yes	complemented
76	#16811279	C₂²	1	4	yes	complemented
77	#16811279	C₂²	1	2	yes	complemented
78	#16811270	C₂²	1	2	yes	complemented
79	#16811270	C₂²	1	4	yes	complemented
80	#16811269	C₂²	1	2	yes	complemented
81	#16811269	C₂²	1	4	yes	complemented
82	#16811268	C₂²	1	2	yes	complemented
83	#16811268	C₂²	1	4	yes	complemented
84	#16811267	C₂²	1	2	yes	complemented
85	#16811267	C₂²	1	4	yes	complemented
86	#16811266	C₂²	1	2	yes	complemented
87	#16811266	C₂²	1	4	yes	complemented
88	#16811265	C₂²	1	4	yes	complemented
89	#16811265	C₂²	1	4	yes	complemented
90	#16811265	C₂²	1	4	yes	complemented
91	#16811264	C₂²	1	2	yes	complemented
92	#16811264	C₂²	1	4	yes	complemented
93	#16811263	C₂²	1	4	yes	complemented
94	#16811263	C₂²	1	4	yes	complemented
95	#16811263	C₂²	1	4	yes	complemented
96	#16811262	C₂²	1	4	yes	complemented
97	#16811262	C₂²	1	4	yes	complemented
98	#16811262	C₂²	1	4	yes	complemented
99	#16811261	C₂²	1	2	yes	complemented
100	#16811261	C₂²	1	4	yes	complemented
101	#16811260	C₂²	1	4	yes	complemented
102	#16811260	C₂²	1	4	yes	complemented
103	#16811260	C₂²	1	4	yes	complemented
104	D₄×D₂₁₂	C₂²	1	2	yes	complemented
105	D₄×D₂₁₂	C₂²	1	2	yes	complemented
106	#16811258	C₂²	1	2	yes	complemented
107	#16811257	C₂²	1	2	yes	complemented
108	#16811257	C₂²	1	4	yes	complemented
109	#16811257	C₂²	1	2	yes	complemented
110	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
111	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
112	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
113	#16811255	C₂²	1	4	yes	complemented
114	#16811255	C₂²	1	4	yes	complemented
115	#16811247	C₂²	1	2	yes	complemented
116	#16811246	C₂²	1	2	yes	complemented
117	#16811245	C₂²	1	2	yes	complemented
118	#16811244	C₂²	1	2	yes	complemented
119	#16811243	C₂²	1	4	yes	complemented
120	#16811242	C₂²	1	2	yes	complemented
121	#16811241	C₂²	1	4	yes	complemented
122	#16811240	C₂²	1	2	yes	complemented
123	#16811239	C₂²	1	4	yes	complemented
124	#16811238	C₂²	1	2	yes	complemented
125	#16811237	C₂²	1	4	yes	complemented
126	#16811213	C₂²	1	2	yes	complemented
127	#16811213	C₂²	1	4	yes	complemented
128	#16811212	C₂²	1	4	yes	complemented
129	#16811212	C₂²	1	4	yes	complemented
130	#16811212	C₂²	1	4	yes	complemented
131	#16811211	C₂²	1	4	yes	complemented
132	#16811211	C₂²	1	2	yes	complemented
133	#16811210	C₂²	1	2	yes	complemented
134	#16811210	C₂²	1	4	yes	complemented
135	#16811209	C₂²	1	4	yes	complemented
136	#16811209	C₂²	1	4	yes	complemented
137	#16811209	C₂²	1	4	yes	complemented
138	#16811208	C₂²	1	4	yes	complemented
139	#16811208	C₂²	1	4	yes	complemented
140	#16811208	C₂²	1	4	yes	complemented
141	#16811207	C₂²	1	4	yes	complemented
142	#16811207	C₂²	1	4	yes	complemented
143	#16811207	C₂²	1	4	yes	complemented
144	#16811206	C₂²	1	4	yes	complemented
145	#16811206	C₂²	1	4	yes	complemented
146	#16811206	C₂²	1	4	yes	complemented
147	#16811205	C₂²	1	4	yes	complemented
148	#16811205	C₂²	1	4	yes	complemented
149	#16811205	C₂²	1	4	yes	complemented
150	#16811192	C₂²	1	2	yes	complemented
151	#16811191	C₂²	1	2	yes	complemented
152	#16811191	C₂²	1	2	yes	complemented
153	#16811190	C₂²	1	2	yes	complemented
154	#16811189	C₂²	1	4	yes	complemented
155	#16811189	C₂²	1	4	yes	complemented
156	#16811188	C₂²	1	4	yes	complemented
157	#16811188	C₂²	1	4	yes	complemented
158	#16811187	C₂²	1	2	yes	complemented
159	#16811186	C₂²	1	2	yes	complemented
160	#16811186	C₂²	1	2	yes	complemented
161	#16811185	C₂²	1	2	yes	complemented
162	#16811184	C₂²	1	4	yes	complemented
163	#16811184	C₂²	1	4	yes	complemented
164	#16811183	C₂²	1	4	yes	complemented
165	#16811183	C₂²	1	4	yes	complemented
166	#16811182	C₂²	1	4	yes	complemented
167	#16811181	C₂²	1	2	yes	complemented
168	#16811181	C₂²	1	4	yes	complemented
169	#16811181	C₂²	1	2	yes	complemented
170	#16811174	C₂²	1	1	yes	characteristic, complemented
171	#16811173	C₂²	1	1	yes	characteristic, complemented
172	#16811172	C₂²	1	2	yes	complemented
173	#16811171	C₂²	1	1	yes	characteristic, complemented
174	#16811170	C₂²	1	2	yes	complemented
175	#16811170	C₂²	1	2	yes	complemented
176	#16811169	C₂²	1	2	yes	complemented
177	#16811168	C₂²	1	2	yes	complemented
178	#16811168	C₂²	1	2	yes	complemented
179	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
180	#127×D₅₃	C₂²	1	2	yes	—
181	#127×D₅₃	C₂²	1	1	yes	characteristic, complemented
182	#16811160	C₂²	1	1	yes	characteristic, complemented
183	#16811159	C₂²	1	1	yes	characteristic, complemented
184	#16811158	C₂²	1	1	yes	characteristic, complemented
185	#16811157	C₂²	1	1	yes	characteristic, complemented
186	#16811156	C₂²	1	2	yes	complemented
187	#16811155	C₂²	1	1	yes	characteristic, complemented
188	#16811154	C₂²	1	1	yes	characteristic, complemented
189	#16811153	C₂²	1	2	yes	complemented
190	#16811152	C₂²	1	1	yes	characteristic, complemented
191	#16811151	C₂²	1	2	yes	complemented
192	#16811150	C₂²	1	2	yes	complemented
193	#126×D₅₃	C₂²	1	4	yes	complemented
194	#126×D₅₃	C₂²	1	2	yes	complemented
195	#125×D₅₃	C₂²	1	1	yes	characteristic, complemented
196	C₂×#13133206	C₂²	1	1	yes	characteristic, complemented
197	C₂×#13133205	C₂²	1	1	yes	characteristic, complemented
198	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
199	C₂×#13133203	C₂²	1	2	yes	complemented
200	C₂×#13133203	C₂²	1	2	yes	complemented
201	#124×D₅₃	C₂²	1	2	yes	complemented
202	#124×D₅₃	C₂²	1	2	yes	complemented
203	#124×D₅₃	C₂²	1	4	yes	complemented
204	#124×D₅₃	C₂²	1	2	yes	complemented
205	#124×D₅₃	C₂²	1	2	yes	complemented
206	#124×D₅₃	C₂²	1	4	yes	complemented
207	#124×D₅₃	C₂²	1	1	yes	characteristic, complemented
208	#124×D₅₃	C₂²	1	2	yes	complemented
209	#124×D₅₃	C₂²	1	2	yes	complemented
210	#124×D₅₃	C₂²	1	4	yes	complemented
211	#124×D₅₃	C₂²	1	2	yes	complemented
212	#124×D₅₃	C₂²	1	2	yes	complemented
213	#124×D₅₃	C₂²	1	2	yes	complemented
214	#124×D₅₃	C₂²	1	2	yes	complemented
215	#123×D₅₃	C₂²	1	4	yes	complemented
216	#123×D₅₃	C₂²	1	4	yes	complemented
217	#123×D₅₃	C₂²	1	4	yes	complemented
218	#123×D₅₃	C₂²	1	4	yes	complemented
219	#123×D₅₃	C₂²	1	2	yes	complemented
220	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
221	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
222	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
223	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
224	#121×D₅₃	C₂²	1	1	yes	characteristic
225	#121×D₅₃	C₂²	1	2	yes	—
226	#121×D₅₃	C₂²	1	2	yes	complemented
227	#121×D₅₃	C₂²	1	4	yes	complemented
228	#121×D₅₃	C₂²	1	4	yes	complemented
229	#121×D₅₃	C₂²	1	4	yes	complemented
230	#121×D₅₃	C₂²	1	4	yes	complemented
231	#121×D₅₃	C₂²	1	4	yes	complemented
232	#121×D₅₃	C₂²	1	2	yes	complemented
233	#120×D₅₃	C₂²	1	4	yes	complemented
234	#120×D₅₃	C₂²	1	4	yes	complemented
235	#120×D₅₃	C₂²	1	4	yes	complemented
236	#120×D₅₃	C₂²	1	4	yes	complemented
237	#120×D₅₃	C₂²	1	4	yes	complemented
238	C₄×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
239	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
240	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
241	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
242	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
243	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
244	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
245	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
246	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
247	#117×D₅₃	C₂²	1	2	yes	complemented
248	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
249	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	complemented
250	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
251	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
252	C₅₃×#562	C₂²	1	2	yes	complemented
253	C₅₃×H(3,𝔽₄)	C₂²	1	2	yes	complemented
254	C₅₃×#559	C₂²	1	2	yes	complemented
255	C₅₃×#548	C₂²	1	2	yes	complemented
256	C₅₃×#546	C₂²	1	2	yes	complemented
257	C₅₃×#546	C₂²	1	4	yes	complemented
258	D₄²×C₅₃	C₂²	1	2	yes	complemented
259	C₅₃×#542	C₂²	1	2	yes	complemented
260	C₅₃×#538	C₂²	1	4	yes	complemented
261	C₅₃×#538	C₂²	1	2	yes	complemented
262	C₅₃×#535	C₂²	1	2	yes	complemented
263	C₅₃×#534	C₂²	1	2	yes	complemented
264	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
265	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
266	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
267	C₂⁴×D₅₃	C₂³	1	2	yes	—
268	C₂⁴×D₅₃	C₂³	1	4	yes	—
269	C₂×#11719949	C₂³	1	2	yes	complemented
270	C₂×#11719949	C₂³	1	2	yes	complemented
271	C₂×#11719945	C₂³	1	2	yes	complemented
272	C₂×#11719945	C₂³	1	4	yes	complemented
273	C₂×#11719945	C₂³	1	4	yes	complemented
274	C₂×#11719945	C₂³	1	2	yes	complemented
275	C₂×#11719947	C₂³	1	2	yes	complemented
276	C₂×#11719947	C₂³	1	4	yes	complemented
277	C₂×#11719947	C₂³	1	4	yes	complemented
278	C₂×#11719947	C₂³	1	2	yes	complemented
279	#41×D₅₃	—	4	8	no	—
280	#41×D₅₃	—	4	8	no	—
281	C₂²×Dic₁₀₆	C₂³	1	2	yes	complemented
282	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
283	C₂×Q₈×D₅₃	—	4	4	no	—
284	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
285	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
286	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
287	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
288	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
289	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
290	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
291	C₂²×D₂₁₂	C₂³	1	4	yes	complemented
292	C₂²×D₂₁₂	C₂³	1	2	yes	complemented
293	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
294	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
295	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
296	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
297	C₂×D₄×D₅₃	—	4	4	no	—
298	C₂×D₄×D₅₃	—	4	8	no	—
299	C₂×D₄×D₅₃	—	4	16	no	—
300	C₂×D₄×D₅₃	C₂³	1	4	yes	—
301	C₂×D₄×D₅₃	C₂³	1	2	yes	—
302	C₂×D₄×D₅₃	C₂³	1	2	yes	—
303	C₂×D₄×D₅₃	C₂³	1	2	yes	—
304	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
305	C₂×D₄×D₅₃	C₂³	1	4	yes	—
306	C₂×D₄×D₅₃	C₂³	1	2	yes	—
307	C₂×D₄×D₅₃	C₂³	1	4	yes	—
308	C₂×D₄×D₅₃	C₂³	1	4	yes	—
309	C₂×D₄×D₅₃	C₂³	1	2	yes	—
310	C₂×D₄×D₅₃	C₂³	1	2	yes	—
311	C₂×D₄×D₅₃	C₂³	1	4	yes	—
312	C₂×D₄×D₅₃	C₂³	1	4	yes	—
313	C₂×D₄×D₅₃	C₂³	1	2	yes	—
314	C₂×D₄×D₅₃	C₂³	1	2	yes	—
315	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
316	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
317	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
318	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
319	C₂×D₄×D₅₃	C₂³	1	2	yes	complemented
320	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
321	C₂×D₄×D₅₃	C₂³	1	2	yes	complemented
322	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
323	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
324	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
325	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
326	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
327	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
328	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
329	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
330	#13133217	C₂³	1	1	yes	characteristic, complemented
331	#13133216	C₂³	1	2	yes	complemented
332	#13133216	C₂³	1	2	yes	complemented
333	#13133215	C₂³	1	2	yes	complemented
334	#13133214	C₂³	1	2	yes	—
335	#13133214	C₂³	1	1	yes	characteristic, complemented
336	#13133213	C₂³	1	2	yes	—
337	#13133213	C₂³	1	4	yes	—
338	#13133213	C₂³	1	2	yes	—
339	#13133213	C₂³	1	4	yes	—
340	#13133213	C₂³	1	2	yes	complemented
341	#13133213	C₂³	1	2	yes	complemented
342	#13133213	C₂³	1	2	yes	complemented
343	#13133212	C₂³	1	2	yes	complemented
344	#13133212	C₂³	1	2	yes	complemented
345	#13133212	C₂³	1	2	yes	complemented
346	#13133212	C₂³	1	4	yes	complemented
347	#13133212	C₂³	1	4	yes	complemented
348	#13133212	C₂³	1	4	yes	complemented
349	#13133211	C₂³	1	2	yes	complemented
350	#13133211	C₂³	1	4	yes	complemented
351	#13133210	C₂³	1	2	yes	complemented
352	#13133210	C₂³	1	2	yes	complemented
353	#13133210	C₂³	1	2	yes	complemented
354	#13133210	C₂³	1	4	yes	complemented
355	#13133210	C₂³	1	4	yes	complemented
356	#13133210	C₂³	1	4	yes	complemented
357	#13133209	C₂³	1	1	yes	characteristic, complemented
358	#13133208	C₂³	1	1	yes	characteristic, complemented
359	#13133208	C₂³	1	1	yes	characteristic, complemented
360	#13133207	C₂³	1	2	yes	complemented
361	#13133207	C₂³	1	2	yes	complemented
362	#13133206	C₂³	1	2	yes	complemented
363	#13133206	C₂³	1	4	yes	complemented
364	#13133206	C₂³	1	2	yes	complemented
365	#13133206	C₂³	1	4	yes	complemented
366	#13133206	C₂³	1	4	yes	complemented
367	#13133206	C₂³	1	1	yes	characteristic, complemented
368	#13133206	C₂³	1	2	yes	complemented
369	#13133206	C₂³	1	2	yes	complemented
370	#13133206	C₂³	1	2	yes	complemented
371	#13133206	C₂³	1	2	yes	complemented
372	#13133205	C₂³	1	2	yes	complemented
373	#13133205	C₂³	1	4	yes	complemented
374	#13133205	C₂³	1	2	yes	complemented
375	#13133205	C₂³	1	4	yes	complemented
376	#13133205	C₂³	1	4	yes	complemented
377	#13133205	C₂³	1	1	yes	characteristic, complemented
378	#13133205	C₂³	1	2	yes	complemented
379	#13133205	C₂³	1	2	yes	complemented
380	#13133205	C₂³	1	2	yes	complemented
381	#13133205	C₂³	1	2	yes	complemented
382	#13133204	C₂³	1	2	yes	complemented
383	#13133204	C₂³	1	4	yes	complemented
384	#13133204	C₂³	1	2	yes	complemented
385	#13133204	C₂³	1	4	yes	complemented
386	#13133204	C₂³	1	4	yes	complemented
387	#13133204	C₂³	1	1	yes	characteristic, complemented
388	#13133204	C₂³	1	2	yes	complemented
389	#13133204	C₂³	1	2	yes	complemented
390	#13133204	C₂³	1	2	yes	complemented
391	#13133204	C₂³	1	2	yes	complemented
392	#13133203	C₂³	1	4	yes	complemented
393	#13133203	C₂³	1	4	yes	complemented
394	#13133203	C₂³	1	4	yes	complemented
395	#13133203	C₂³	1	4	yes	complemented
396	#13133203	C₂³	1	4	yes	complemented
397	#13133203	C₂³	1	4	yes	complemented
398	#13133203	C₂³	1	4	yes	complemented
399	#13133203	C₂³	1	4	yes	complemented
400	#13133203	C₂³	1	4	yes	complemented
401	#13133203	C₂³	1	4	yes	complemented
402	#13133203	C₂³	1	4	yes	complemented
403	#13133203	C₂³	1	4	yes	complemented
404	#13133203	C₂³	1	4	yes	complemented
405	#13133203	C₂³	1	4	yes	complemented
406	#13133203	C₂³	1	2	yes	complemented
407	#13133203	C₂³	1	2	yes	complemented
408	#13133203	C₂³	1	4	yes	complemented
409	#13133203	C₂³	1	4	yes	complemented
410	#13133203	C₂³	1	4	yes	complemented
411	#13133203	C₂³	1	4	yes	complemented
412	#13133203	C₂³	1	4	yes	complemented
413	#13133203	C₂³	1	4	yes	complemented
414	#13133203	C₂³	1	4	yes	complemented
415	#13133203	C₂³	1	4	yes	complemented
416	#13133203	C₂³	1	4	yes	complemented
417	#13133203	C₂³	1	4	yes	complemented
418	#13133202	C₂³	1	2	yes	complemented
419	#13133202	C₂³	1	4	yes	complemented
420	#13133202	C₂³	1	4	yes	complemented
421	#13133202	C₂³	1	2	yes	complemented
422	#13133202	C₂³	1	4	yes	complemented
423	#13133202	C₂³	1	4	yes	complemented
424	#13133202	C₂³	1	4	yes	complemented
425	#13133202	C₂³	1	4	yes	complemented
426	#13133202	C₂³	1	4	yes	complemented
427	#13133202	C₂³	1	4	yes	complemented
428	#13133201	C₂³	1	2	yes	complemented
429	#13133201	C₂³	1	4	yes	complemented
430	#13133201	C₂³	1	4	yes	complemented
431	#13133201	C₂³	1	4	yes	complemented
432	#13133201	C₂³	1	4	yes	complemented
433	#13133200	C₂³	1	4	yes	complemented
434	#13133200	C₂³	1	4	yes	complemented
435	#13133200	C₂³	1	4	yes	complemented
436	#13133200	C₂³	1	2	yes	complemented
437	#13133200	C₂³	1	4	yes	complemented
438	#13133199	C₂³	1	2	yes	complemented
439	#13133199	C₂³	1	4	yes	complemented
440	#13133199	C₂³	1	4	yes	complemented
441	#13133199	C₂³	1	2	yes	complemented
442	#13133199	C₂³	1	4	yes	complemented
443	#13133199	C₂³	1	4	yes	complemented
444	#13133199	C₂³	1	4	yes	complemented
445	#13133199	C₂³	1	4	yes	complemented
446	#13133199	C₂³	1	4	yes	complemented
447	#13133199	C₂³	1	4	yes	complemented
448	#13133198	C₂³	1	2	yes	complemented
449	#13133198	C₂³	1	4	yes	complemented
450	#13133198	C₂³	1	4	yes	complemented
451	#13133198	C₂³	1	4	yes	complemented
452	#13133198	C₂³	1	4	yes	complemented
453	#13133197	C₂³	1	2	yes	complemented
454	#13133197	C₂³	1	4	yes	complemented
455	#13133197	C₂³	1	4	yes	complemented
456	#13133197	C₂³	1	1	yes	characteristic, complemented
457	#13133196	C₂³	1	2	yes	complemented
458	#13133196	C₂³	1	4	yes	complemented
459	#13133196	C₂³	1	4	yes	complemented
460	#13133196	C₂³	1	1	yes	characteristic, complemented
461	#13133195	C₂³	1	4	yes	complemented
462	#13133195	C₂³	1	4	yes	complemented
463	#13133195	C₂³	1	4	yes	complemented
464	#13133195	C₂³	1	4	yes	complemented
465	#13133195	C₂³	1	4	yes	complemented
466	#13133195	C₂³	1	2	yes	complemented
467	#13133194	C₂³	1	4	yes	complemented
468	#13133194	C₂³	1	4	yes	complemented
469	#13133194	C₂³	1	4	yes	complemented
470	#13133194	C₂³	1	4	yes	complemented
471	#13133194	C₂³	1	4	yes	complemented
472	#13133194	C₂³	1	2	yes	complemented
473	#13133193	C₂³	1	2	yes	complemented
474	#13133193	C₂³	1	4	yes	complemented
475	#13133193	C₂³	1	4	yes	complemented
476	#13133193	C₂³	1	1	yes	characteristic, complemented
477	#13133192	C₂³	1	2	yes	—
478	#13133192	C₂³	1	1	yes	characteristic
479	#13133192	C₂³	1	4	yes	complemented
480	#13133192	C₂³	1	4	yes	complemented
481	#13133192	C₂³	1	4	yes	complemented
482	#13133192	C₂³	1	2	yes	complemented
483	#13133192	C₂³	1	4	yes	complemented
484	#13133192	C₂³	1	2	yes	complemented
485	#13133192	C₂³	1	4	yes	complemented
486	#13133191	C₂³	1	2	yes	—
487	#13133191	C₂³	1	1	yes	characteristic
488	#13133191	C₂³	1	4	yes	complemented
489	#13133191	C₂³	1	4	yes	complemented
490	#13133191	C₂³	1	4	yes	complemented
491	#13133191	C₂³	1	2	yes	complemented
492	#13133191	C₂³	1	4	yes	complemented
493	#13133191	C₂³	1	2	yes	complemented
494	#13133191	C₂³	1	4	yes	complemented
495	#13133190	C₂³	1	4	yes	—
496	#13133190	C₂³	1	2	yes	—
497	#13133190	C₂³	1	4	yes	complemented
498	#13133190	C₂³	1	4	yes	complemented
499	#13133190	C₂³	1	4	yes	complemented
500	#13133190	C₂³	1	4	yes	complemented
501	#13133190	C₂³	1	4	yes	complemented
502	#13133190	C₂³	1	4	yes	complemented
503	#13133190	C₂³	1	4	yes	complemented
504	#13133190	C₂³	1	4	yes	complemented
505	#13133190	C₂³	1	4	yes	complemented
506	#13133190	C₂³	1	4	yes	complemented
507	#13133190	C₂³	1	4	yes	complemented
508	#13133190	C₂³	1	4	yes	complemented
509	#13133189	C₂³	1	2	yes	—
510	#13133189	C₂³	1	4	yes	—
511	#13133189	C₂³	1	4	yes	complemented
512	#13133189	C₂³	1	4	yes	complemented
513	#13133189	C₂³	1	4	yes	complemented
514	#13133189	C₂³	1	4	yes	complemented
515	#13133189	C₂³	1	4	yes	complemented
516	#13133189	C₂³	1	4	yes	complemented
517	#13133189	C₂³	1	4	yes	complemented
518	#13133189	C₂³	1	4	yes	complemented
519	#13133189	C₂³	1	4	yes	complemented
520	#13133189	C₂³	1	4	yes	complemented
521	#13133189	C₂³	1	4	yes	complemented
522	#13133189	C₂³	1	4	yes	complemented
523	#13133188	C₂³	1	2	yes	—
524	#13133188	C₂³	1	1	yes	characteristic
525	#13133188	C₂³	1	4	yes	complemented
526	#13133188	C₂³	1	4	yes	complemented
527	#13133188	C₂³	1	4	yes	complemented
528	#13133188	C₂³	1	2	yes	complemented
529	#13133188	C₂³	1	4	yes	complemented
530	#13133188	C₂³	1	2	yes	complemented
531	#13133188	C₂³	1	4	yes	complemented
532	#13133187	C₂³	1	4	yes	complemented
533	#13133187	C₂³	1	4	yes	complemented
534	#13133187	C₂³	1	4	yes	complemented
535	#13133187	C₂³	1	4	yes	complemented
536	#13133187	C₂³	1	4	yes	complemented
537	#13133187	C₂³	1	4	yes	complemented
538	#13133187	C₂³	1	4	yes	complemented
539	#13133187	C₂³	1	4	yes	complemented
540	#13133187	C₂³	1	4	yes	complemented
541	#13133187	C₂³	1	4	yes	complemented
542	#13133187	C₂³	1	4	yes	complemented
543	#13133187	C₂³	1	4	yes	complemented
544	#13133187	C₂³	1	4	yes	complemented
545	#13133187	C₂³	1	4	yes	complemented
546	#13133187	C₂³	1	4	yes	complemented
547	#13133186	C₂³	1	4	yes	complemented
548	#13133186	C₂³	1	4	yes	complemented
549	#13133186	C₂³	1	4	yes	complemented
550	#13133186	C₂³	1	4	yes	complemented
551	#13133186	C₂³	1	4	yes	complemented
552	#13133185	C₂³	1	4	yes	complemented
553	#13133185	C₂³	1	4	yes	complemented
554	#13133185	C₂³	1	4	yes	complemented
555	#13133185	C₂³	1	4	yes	complemented
556	#13133185	C₂³	1	4	yes	complemented
557	#13133185	C₂³	1	4	yes	complemented
558	#13133185	C₂³	1	4	yes	complemented
559	#13133185	C₂³	1	4	yes	complemented
560	#13133185	C₂³	1	4	yes	complemented
561	#13133185	C₂³	1	4	yes	complemented
562	#13133185	C₂³	1	4	yes	complemented
563	#13133185	C₂³	1	4	yes	complemented
564	#13133185	C₂³	1	4	yes	complemented
565	#13133185	C₂³	1	4	yes	complemented
566	#13133185	C₂³	1	4	yes	complemented
567	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
568	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
569	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
570	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
571	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
572	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
573	#13133182	C₂³	1	2	yes	complemented
574	#13133182	C₂³	1	4	yes	complemented
575	#13133182	C₂³	1	2	yes	complemented
576	#13133182	C₂³	1	1	yes	characteristic, complemented
577	C₄×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
578	C₄×D₂₁₂	C₂³	1	4	yes	complemented
579	C₄×D₂₁₂	C₂³	1	4	yes	complemented
580	C₄×D₂₁₂	C₂³	1	2	yes	complemented
581	C₄×D₂₁₂	C₂³	1	2	yes	complemented
582	C₄×D₂₁₂	C₂³	1	2	yes	complemented
583	C₄×D₂₁₂	C₂³	1	2	yes	complemented
584	D₄×Dic₅₃	C₂³	1	4	yes	complemented
585	D₄×Dic₅₃	C₂³	1	2	yes	complemented
586	D₄×Dic₅₃	C₂³	1	2	yes	complemented
587	D₄×Dic₅₃	C₂³	1	4	yes	complemented
588	D₄×Dic₅₃	C₂³	1	2	yes	complemented
589	D₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
590	D₄×Dic₅₃	C₂³	1	2	yes	complemented
591	#13133179	C₂³	1	4	yes	complemented
592	#13133179	C₂³	1	2	yes	complemented
593	#13133179	C₂³	1	1	yes	characteristic, complemented
594	#13133179	C₂³	1	4	yes	complemented
595	#13133179	C₂³	1	2	yes	complemented
596	#13133179	C₂³	1	2	yes	complemented
597	#13133179	C₂³	1	2	yes	complemented
598	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
599	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
600	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
601	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
602	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
603	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
604	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
605	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
606	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
607	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
608	#13133177	C₂³	1	4	yes	complemented
609	#13133177	C₂³	1	4	yes	complemented
610	#13133177	C₂³	1	4	yes	complemented
611	#13133177	C₂³	1	2	yes	complemented
612	#13133177	C₂³	1	2	yes	complemented
613	#13133177	C₂³	1	4	yes	complemented
614	#13133177	C₂³	1	4	yes	complemented
615	#13133177	C₂³	1	4	yes	complemented
616	#13133177	C₂³	1	2	yes	complemented
617	#13133177	C₂³	1	4	yes	complemented
618	#13133176	C₂³	1	2	yes	complemented
619	#13133175	C₂³	1	2	yes	complemented
620	#13133175	C₂³	1	2	yes	complemented
621	#13133174	C₂³	1	2	yes	complemented
622	#13133174	C₂³	1	2	yes	complemented
623	#13133173	C₂³	1	2	yes	complemented
624	#13133173	C₂³	1	2	yes	complemented
625	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
626	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
627	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
628	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
629	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
630	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
631	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
632	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
633	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
634	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
635	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
636	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
637	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
638	C₂×#11719921	C₂³	1	2	yes	complemented
639	C₂×#11719921	C₂³	1	4	yes	complemented
640	C₂×#11719921	C₂³	1	4	yes	complemented
641	C₂×#11719921	C₂³	1	2	yes	complemented
642	C₂×#11719921	C₂³	1	2	yes	complemented
643	C₂×#11719921	C₂³	1	2	yes	complemented
644	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
645	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
646	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
647	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
648	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
649	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
650	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
651	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
652	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
653	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
654	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
655	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
656	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
657	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
658	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
659	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
660	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
661	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
662	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
663	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
664	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
665	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
666	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
667	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
668	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
669	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
670	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
671	C₄²×D₅₃	C₂³	1	1	yes	characteristic
672	C₄²×D₅₃	C₂³	1	1	yes	characteristic
673	C₄²×D₅₃	C₂³	1	1	yes	characteristic
674	C₄²×D₅₃	C₂³	1	1	yes	characteristic
675	C₄²×D₅₃	C₂³	1	2	yes	—
676	C₄²×D₅₃	C₂³	1	4	yes	—
677	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
678	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
679	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
680	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
681	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
682	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
683	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
684	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
685	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
686	C₂²×D₄×C₅₃	C₂³	1	2	yes	complemented
687	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
688	#127×C₅₃	C₂³	1	2	yes	—
689	#127×C₅₃	C₂³	1	1	yes	characteristic, complemented
690	#126×C₅₃	C₂³	1	2	yes	complemented
691	#126×C₅₃	C₂³	1	4	yes	complemented
692	#125×C₅₃	C₂³	1	1	yes	characteristic, complemented
693	#124×C₅₃	C₂³	1	2	yes	complemented
694	#124×C₅₃	C₂³	1	4	yes	complemented
695	#124×C₅₃	C₂³	1	2	yes	complemented
696	#124×C₅₃	C₂³	1	4	yes	complemented
697	#124×C₅₃	C₂³	1	2	yes	complemented
698	#124×C₅₃	C₂³	1	2	yes	complemented
699	#124×C₅₃	C₂³	1	2	yes	complemented
700	#124×C₅₃	C₂³	1	1	yes	characteristic, complemented
701	#124×C₅₃	C₂³	1	2	yes	complemented
702	#124×C₅₃	C₂³	1	4	yes	complemented
703	#123×C₅₃	C₂³	1	2	yes	complemented
704	#123×C₅₃	C₂³	1	4	yes	complemented
705	#123×C₅₃	C₂³	1	4	yes	complemented
706	#123×C₅₃	C₂³	1	4	yes	complemented
707	#123×C₅₃	C₂³	1	4	yes	complemented
708	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
709	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
710	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
711	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
712	#121×C₅₃	C₂³	1	2	yes	—
713	#121×C₅₃	C₂³	1	1	yes	characteristic
714	#121×C₅₃	C₂³	1	4	yes	complemented
715	#121×C₅₃	C₂³	1	2	yes	complemented
716	#121×C₅₃	C₂³	1	4	yes	complemented
717	#121×C₅₃	C₂³	1	2	yes	complemented
718	#121×C₅₃	C₂³	1	4	yes	complemented
719	#121×C₅₃	C₂³	1	4	yes	complemented
720	#121×C₅₃	C₂³	1	4	yes	complemented
721	#120×C₅₃	C₂³	1	4	yes	complemented
722	#120×C₅₃	C₂³	1	4	yes	complemented
723	#120×C₅₃	C₂³	1	4	yes	complemented
724	#120×C₅₃	C₂³	1	4	yes	complemented
725	#120×C₅₃	C₂³	1	4	yes	complemented
726	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
727	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
728	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
729	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
730	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
731	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
732	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
733	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
734	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
735	#117×C₅₃	C₂³	1	2	yes	complemented
736	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
737	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
738	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
739	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
740	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
741	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
742	C₂³×D₅₃	—	2	8	no	—
743	C₂³×D₅₃	—	4	4	no	—
744	C₂³×D₅₃	—	4	8	no	—
745	C₂³×D₅₃	—	4	8	no	—
746	C₂³×D₅₃	—	4	4	no	—
747	C₂³×D₅₃	—	4	8	no	—
748	C₂³×D₅₃	C₂⁴	1	2	yes	—
749	C₂³×D₅₃	C₂⁴	1	4	yes	—
750	C₂³×D₅₃	C₂⁴	1	4	yes	—
751	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
752	C₂³×D₅₃	C₂⁴	1	4	yes	—
753	C₂³×D₅₃	C₂⁴	1	2	yes	—
754	C₂³×D₅₃	C₂⁴	1	4	yes	—
755	C₂³×D₅₃	C₂⁴	1	4	yes	—
756	C₂³×D₅₃	C₂⁴	1	4	yes	—
757	#41×C₅₃	—	4	4	no	—
758	#41×C₅₃	—	4	4	no	—
759	C₂×Q₈×C₅₃	—	4	2	no	—
760	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
761	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
762	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
763	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
764	C₂×D₄×C₅₃	—	4	2	no	—
765	C₂×D₄×C₅₃	—	4	4	no	—
766	C₂×D₄×C₅₃	—	4	8	no	—
767	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
768	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
769	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
770	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
771	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
772	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
773	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
774	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
775	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
776	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
777	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
778	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
779	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
780	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
781	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
782	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
783	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
784	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
785	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
786	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
787	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
788	C₂×C₂²⋊D₅₃	—	4	4	no	—
789	C₂×C₂²⋊D₅₃	—	4	8	no	—
790	C₂×C₂²⋊D₅₃	—	4	8	no	—
791	C₂×C₂²⋊D₅₃	—	4	8	no	—
792	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
793	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
794	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
795	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
796	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
797	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
798	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
799	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
800	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
801	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
802	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
803	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
804	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
805	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
807	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
808	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
810	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
811	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
812	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
813	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
814	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
815	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
816	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
817	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
818	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
819	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
820	#11719949	—	4	4	no	—
821	#11719949	—	4	4	no	—
822	Q₈×D₅₃	—	2	8	no	—
823	Q₈×D₅₃	—	4	4	no	—
824	Q₈×D₅₃	—	4	4	no	—
825	Q₈×D₅₃	—	4	4	no	—
826	Q₈×D₅₃	—	4	2	no	—
827	Q₈×D₅₃	—	4	4	no	—
828	#11719947	—	4	4	no	—
829	#11719947	—	4	8	no	—
830	#11719947	—	4	4	no	—
831	#11719947	—	4	8	no	—
832	D₄×D₅₃	—	2	8	no	—
833	D₄×D₅₃	—	2	16	no	—
834	D₄×D₅₃	—	2	8	no	—
835	D₄×D₅₃	—	2	8	no	—
836	D₄×D₅₃	—	4	4	no	—
837	D₄×D₅₃	—	4	4	no	—
838	D₄×D₅₃	—	4	4	no	—
839	D₄×D₅₃	—	4	4	no	—
840	D₄×D₅₃	—	4	8	no	—
841	D₄×D₅₃	—	4	8	no	—
842	D₄×D₅₃	—	4	4	no	—
843	D₄×D₅₃	—	4	8	no	—
844	D₄×D₅₃	—	4	8	no	—
845	D₄×D₅₃	—	4	4	no	—
846	D₄×D₅₃	—	4	2	no	—
847	D₄×D₅₃	—	4	8	no	—
848	D₄×D₅₃	—	4	4	no	—
849	D₄×D₅₃	—	4	8	no	—
850	D₄×D₅₃	—	4	8	no	—
851	D₄×D₅₃	—	4	8	no	—
852	D₄×D₅₃	—	4	8	no	—
853	D₄×D₅₃	—	4	8	no	—
854	#11719945	—	4	8	no	—
855	#11719945	—	4	4	no	—
856	#11719945	—	4	8	no	—
857	#11719945	—	4	4	no	—
858	C₂×D₂₁₂	—	4	2	no	—
859	C₂×D₂₁₂	—	4	4	no	—
860	C₂×D₂₁₂	—	4	8	no	—
861	C₂×D₂₁₂	C₂⁴	1	4	yes	—
862	C₂×D₂₁₂	C₂⁴	1	2	yes	—
863	C₂×D₂₁₂	C₂⁴	1	2	yes	—
864	C₂×D₂₁₂	C₂⁴	1	2	yes	—
865	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
866	C₂×D₂₁₂	C₂⁴	1	4	yes	—
867	C₂×D₂₁₂	C₂⁴	1	2	yes	—
868	C₂×D₂₁₂	C₂⁴	1	4	yes	—
869	C₂×D₂₁₂	C₂⁴	1	4	yes	—
870	C₂×D₂₁₂	C₂⁴	1	2	yes	—
871	C₂×D₂₁₂	C₂⁴	1	2	yes	—
872	C₂×D₂₁₂	C₂⁴	1	4	yes	—
873	C₂×D₂₁₂	C₂⁴	1	4	yes	—
874	C₂×C₄×D₅₃	—	2	4	no	—
875	C₂×C₄×D₅₃	—	2	4	no	—
876	C₂×C₄×D₅₃	—	2	8	no	—
877	C₂×C₄×D₅₃	—	4	2	no	—
878	C₂×C₄×D₅₃	—	4	8	no	—
879	C₂×C₄×D₅₃	—	4	4	no	—
880	C₂×C₄×D₅₃	—	4	8	no	—
881	C₂×C₄×D₅₃	—	4	8	no	—
882	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
883	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
884	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
885	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
886	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
887	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
888	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
889	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
890	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
891	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
892	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
893	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
894	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
895	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
896	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
897	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
898	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
899	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
900	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
901	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
902	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
903	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
904	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
905	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
906	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
907	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
908	C₂×Dic₁₀₆	—	4	4	no	—
909	C₂×Dic₁₀₆	—	4	2	no	—
910	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
911	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
912	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
913	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
914	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
915	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
916	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
917	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
918	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
919	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
920	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
921	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
922	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
923	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
924	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
925	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
926	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
927	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
928	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
929	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
930	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
931	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
932	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
933	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
934	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
935	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
936	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
937	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
938	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
939	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
940	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
941	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
942	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
943	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
944	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
945	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
946	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
947	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
948	C₄²×C₅₃	C₂⁴	1	2	yes	—
949	C₄²×C₅₃	C₂⁴	1	4	yes	—
950	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
951	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
952	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
953	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
954	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
955	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
956	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
957	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
958	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
959	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
960	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
961	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
962	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
963	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
964	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
965	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
966	#11719921	C₂⁴	1	4	yes	—
967	#11719921	C₂⁴	1	2	yes	—
968	#11719921	C₂⁴	1	2	yes	—
969	#11719921	C₂⁴	1	4	yes	—
970	#11719921	C₂⁴	1	4	yes	—
971	#11719921	C₂⁴	1	4	yes	—
972	#11719921	C₂⁴	1	4	yes	—
973	#11719921	C₂⁴	1	4	yes	—
974	#11719921	C₂⁴	1	4	yes	—
975	#11719921	C₂⁴	1	4	yes	—
976	#11719921	C₂⁴	1	4	yes	—
977	#11719921	C₂⁴	1	4	yes	—
978	#11719921	C₂⁴	1	4	yes	—
979	#11719921	C₂⁴	1	4	yes	—
980	#11719921	C₂⁴	1	2	yes	—
981	#11719921	C₂⁴	1	2	yes	—
982	#11719921	C₂⁴	1	2	yes	—
983	#11719921	C₂⁴	1	2	yes	—
984	#11719921	C₂⁴	1	2	yes	—
985	#11719921	C₂⁴	1	4	yes	—
986	#11719921	C₂⁴	1	2	yes	—
987	#11719921	C₂⁴	1	4	yes	—
988	#11719921	C₂⁴	1	4	yes	—
989	#11719921	C₂⁴	1	4	yes	—
990	#11719921	C₂⁴	1	4	yes	—
991	#11719921	C₂⁴	1	2	yes	—
992	#11719921	C₂⁴	1	4	yes	—
993	#11719921	C₂⁴	1	2	yes	—
994	#11719921	C₂⁴	1	4	yes	—
995	#11719921	C₂⁴	1	4	yes	—
996	#11719921	C₂⁴	1	4	yes	—
997	#11719921	C₂⁴	1	4	yes	—
998	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
999	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1000	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1001	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1002	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1003	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1004	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1005	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1006	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1007	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1008	#11719919	C₂⁴	1	2	yes	—
1009	#11719919	C₂⁴	1	2	yes	—
1010	#11719919	C₂⁴	1	2	yes	—
1011	#11719919	C₂⁴	1	2	yes	—
1012	#11719919	C₂⁴	1	4	yes	—
1013	#11719919	C₂⁴	1	2	yes	—
1014	#11719919	C₂⁴	1	2	yes	—
1015	#11719919	C₂⁴	1	2	yes	—
1016	#11719919	C₂⁴	1	2	yes	—
1017	#11719919	C₂⁴	1	4	yes	—
1018	#11719919	C₂⁴	1	4	yes	—
1019	#11719919	C₂⁴	1	4	yes	—
1020	#11719919	C₂⁴	1	2	yes	—
1021	#11719919	C₂⁴	1	2	yes	—
1022	#11719919	C₂⁴	1	4	yes	—
1023	#11719919	C₂⁴	1	4	yes	—
1024	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1025	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1026	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1027	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1028	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1029	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1030	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1031	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1032	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1033	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1034	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1035	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1036	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1037	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1038	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1039	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1040	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1041	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1042	C₂³×C₅₃	—	2	4	no	—
1043	C₂³×C₅₃	—	4	2	no	—
1044	C₂³×C₅₃	—	4	4	no	—
1045	C₂³×C₅₃	—	4	4	no	—
1046	C₂³×C₅₃	—	4	2	no	—
1047	C₂³×C₅₃	—	4	4	no	—
1048	C₂³×C₅₃	C₂⁵	1	4	yes	—
1049	C₂³×C₅₃	C₂⁵	1	2	yes	—
1050	C₂³×C₅₃	C₂⁵	1	4	yes	—
1051	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1052	C₂²×D₅₃	—	2	2	no	—
1053	C₂²×D₅₃	—	2	2	no	—
1054	C₂²×D₅₃	—	2	4	no	—
1055	C₂²×D₅₃	—	2	4	no	—
1056	C₂²×D₅₃	—	2	8	no	—
1057	C₂²×D₅₃	—	2	8	no	—
1058	C₂²×D₅₃	—	2	8	no	—
1059	C₂²×D₅₃	—	2	4	no	—
1060	C₂²×D₅₃	—	2	8	no	—
1061	C₂²×D₅₃	—	2	8	no	—
1062	C₂²×D₅₃	—	2	4	no	—
1063	C₂²×D₅₃	—	2	8	no	—
1064	C₂²×D₅₃	—	2	8	no	—
1065	C₂²×D₅₃	—	4	4	no	—
1066	C₂²×D₅₃	—	4	4	no	—
1067	C₂²×D₅₃	—	4	2	no	—
1068	C₂²×D₅₃	—	4	4	no	—
1069	C₂²×D₅₃	—	4	4	no	—
1070	C₂²×D₅₃	—	4	4	no	—
1071	C₂²×D₅₃	—	4	4	no	—
1072	C₂²×D₅₃	—	4	4	no	—
1073	C₂²×D₅₃	—	4	4	no	—
1074	C₂²×D₅₃	—	4	4	no	—
1075	C₂²×D₅₃	—	4	4	no	—
1076	C₂²×D₅₃	—	4	2	no	—
1077	C₂²×D₅₃	—	4	4	no	—
1078	C₂²×D₅₃	—	8	16	no	—
1079	C₂²×D₅₃	—	8	32	no	—
1080	C₂²×D₅₃	H(5,𝔽₂)	1	4	yes	—
1081	C₂²×D₅₃	C₂⁵	1	4	yes	—
1082	C₂²×D₅₃	C₂⁵	1	2	yes	—
1083	C₂²×D₅₃	C₂⁵	1	4	yes	—
1084	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1085	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1086	Q₈×C₅₃	—	2	4	no	—
1087	Q₈×C₅₃	—	4	2	no	—
1088	Q₈×C₅₃	—	4	2	no	—
1089	Q₈×C₅₃	—	4	1	no	—
1090	D₄×C₅₃	—	2	4	no	—
1091	D₄×C₅₃	—	2	8	no	—
1092	D₄×C₅₃	—	2	4	no	—
1093	D₄×C₅₃	—	2	4	no	—
1094	D₄×C₅₃	—	4	2	no	—
1095	D₄×C₅₃	—	4	4	no	—
1096	D₄×C₅₃	—	4	4	no	—
1097	D₄×C₅₃	—	4	4	no	—
1098	D₄×C₅₃	—	4	4	no	—
1099	D₄×C₅₃	—	4	2	no	—
1100	D₄×C₅₃	—	4	1	no	—
1101	D₄×C₅₃	—	4	4	no	—
1102	D₄×C₅₃	—	4	2	no	—
1103	C₂×C₄×C₅₃	—	2	2	no	—
1104	C₂×C₄×C₅₃	—	2	2	no	—
1105	C₂×C₄×C₅₃	—	2	4	no	—
1106	C₂×C₄×C₅₃	—	4	2	no	—
1107	C₂×C₄×C₅₃	—	4	4	no	—
1108	C₂×C₄×C₅₃	—	4	4	no	—
1109	C₂×C₄×C₅₃	—	4	4	no	—
1110	C₂×C₄×C₅₃	—	4	1	no	—
1111	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1112	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1113	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1114	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1115	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1116	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1117	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1118	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1119	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1120	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1121	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1122	C₂²⋊D₅₃	—	2	8	no	—
1123	C₂²⋊D₅₃	—	2	4	no	—
1124	C₂²⋊D₅₃	—	2	8	no	—
1125	C₂²⋊D₅₃	—	2	4	no	—
1126	C₂²⋊D₅₃	—	2	8	no	—
1127	C₂²⋊D₅₃	—	2	8	no	—
1128	C₂²⋊D₅₃	—	4	4	no	—
1129	C₂²⋊D₅₃	—	4	4	no	—
1130	C₂²⋊D₅₃	—	4	4	no	—
1131	C₂²⋊D₅₃	—	4	4	no	—
1132	C₂²⋊D₅₃	—	4	4	no	—
1133	C₂²⋊D₅₃	—	4	4	no	—
1134	C₂²⋊D₅₃	—	4	4	no	—
1135	C₂²⋊D₅₃	—	4	4	no	—
1136	C₂²⋊D₅₃	—	4	4	no	—
1137	C₂²⋊D₅₃	—	4	4	no	—
1138	C₂²⋊D₅₃	—	4	2	no	—
1139	C₂²⋊D₅₃	—	4	4	no	—
1140	C₂²⋊D₅₃	—	4	4	no	—
1141	C₂²⋊D₅₃	—	4	4	no	—
1142	C₂×Dic₅₃	—	2	2	no	—
1143	C₂×Dic₅₃	—	2	2	no	—
1144	C₂×Dic₅₃	—	2	4	no	—
1145	C₂×Dic₅₃	—	4	2	no	—
1146	C₂×Dic₅₃	—	4	4	no	—
1147	C₂×Dic₅₃	—	4	4	no	—
1148	C₂×Dic₅₃	—	4	1	no	—
1149	C₂×Dic₅₃	—	4	4	no	—
1150	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1151	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1152	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1153	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1154	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1155	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1156	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1157	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1158	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1159	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1160	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1161	D₂₁₂	—	2	4	no	—
1162	D₂₁₂	—	2	8	no	—
1163	D₂₁₂	—	2	4	no	—
1164	D₂₁₂	—	2	4	no	—
1165	D₂₁₂	—	4	2	no	—
1166	D₂₁₂	—	4	4	no	—
1167	D₂₁₂	—	4	4	no	—
1168	D₂₁₂	—	4	4	no	—
1169	D₂₁₂	—	4	4	no	—
1170	D₂₁₂	—	4	2	no	—
1171	D₂₁₂	—	4	1	no	—
1172	D₂₁₂	—	4	4	no	—
1173	D₂₁₂	—	4	2	no	—
1174	C₄×D₅₃	—	2	2	no	—
1175	C₄×D₅₃	—	2	4	no	—
1176	C₄×D₅₃	—	2	2	no	—
1177	C₄×D₅₃	—	2	2	no	—
1178	C₄×D₅₃	—	2	2	no	—
1179	C₄×D₅₃	—	2	2	no	—
1180	C₄×D₅₃	—	2	4	no	—
1181	C₄×D₅₃	—	2	8	no	—
1182	C₄×D₅₃	—	2	8	no	—
1183	C₄×D₅₃	—	2	2	no	—
1184	C₄×D₅₃	—	2	2	no	—
1185	C₄×D₅₃	—	2	4	no	—
1186	C₄×D₅₃	—	2	4	no	—
1187	C₄×D₅₃	—	2	2	no	—
1188	C₄×D₅₃	—	2	4	no	—
1189	C₄×D₅₃	—	2	2	no	—
1190	C₄×D₅₃	—	4	1	no	—
1191	C₄×D₅₃	—	4	1	no	—
1192	C₄×D₅₃	—	4	4	no	—
1193	C₄×D₅₃	—	4	4	no	—
1194	C₄×D₅₃	—	4	4	no	—
1195	C₄×D₅₃	—	4	4	no	—
1196	C₄×D₅₃	—	4	4	no	—
1197	C₄×D₅₃	—	4	4	no	—
1198	C₄×D₅₃	—	4	4	no	—
1199	C₄×D₅₃	H(5,𝔽₂)	1	4	yes	—
1200	Dic₁₀₆	—	2	4	no	—
1201	Dic₁₀₆	—	2	8	no	—
1202	Dic₁₀₆	—	4	2	no	—
1203	Dic₁₀₆	—	4	4	no	—
1204	Dic₁₀₆	—	4	4	no	—
1205	Dic₁₀₆	—	4	2	no	—
1206	Dic₁₀₆	—	4	2	no	—
1207	Dic₁₀₆	—	4	1	no	—
1208	C₂×#3558	—	53	1	no	maximal, Sylow
1209	C₂²×C₅₃	—	2	1	no	—
1210	C₂²×C₅₃	—	2	1	no	—
1211	C₂²×C₅₃	—	2	2	no	—
1212	C₂²×C₅₃	—	2	4	no	—
1213	C₂²×C₅₃	—	2	4	no	—
1214	C₂²×C₅₃	—	2	4	no	—
1215	C₂²×C₅₃	—	2	2	no	—
1216	C₂²×C₅₃	—	2	4	no	—
1217	C₂²×C₅₃	—	2	4	no	—
1218	C₂²×C₅₃	—	2	4	no	—
1219	C₂²×C₅₃	—	2	2	no	—
1220	C₂²×C₅₃	—	8	4	no	—
1221	C₂²×C₅₃	—	8	8	no	—
1222	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1223	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1224	C₂×D₅₃	—	2	1	no	—
1225	C₂×D₅₃	—	2	1	no	—
1226	C₂×D₅₃	—	2	8	no	—
1227	C₂×D₅₃	—	2	2	no	—
1228	C₂×D₅₃	—	2	4	no	—
1229	C₂×D₅₃	—	2	4	no	—
1230	C₂×D₅₃	—	2	4	no	—
1231	C₂×D₅₃	—	2	2	no	—
1232	C₂×D₅₃	—	2	4	no	—
1233	C₂×D₅₃	—	2	4	no	—
1234	C₂×D₅₃	—	2	2	no	—
1235	C₂×D₅₃	—	2	4	no	—
1236	C₂×D₅₃	—	4	16	no	—
1237	C₂×D₅₃	—	4	8	no	—
1238	C₂×D₅₃	—	4	16	no	—
1239	C₂×D₅₃	—	8	8	no	—
1240	C₂×D₅₃	—	8	4	no	—
1241	C₂×D₅₃	—	8	8	no	—
1242	C₂×D₅₃	—	8	8	no	—
1243	C₂×D₅₃	—	8	8	no	—
1244	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1245	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1246	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1247	C₂×D₅₃	#585	1	2	yes	—
1248	C₄×C₅₃	—	2	4	no	—
1249	C₄×C₅₃	—	2	1	no	—
1250	C₄×C₅₃	—	2	1	no	—
1251	C₄×C₅₃	—	2	4	no	—
1252	C₄×C₅₃	—	2	1	no	—
1253	C₄×C₅₃	—	2	2	no	—
1254	C₄×C₅₃	—	2	2	no	—
1255	C₄×C₅₃	—	2	1	no	—
1256	C₄×C₅₃	—	2	2	no	—
1257	C₄×C₅₃	—	2	1	no	—
1258	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1259	Dic₅₃	—	2	4	no	—
1260	Dic₅₃	—	2	1	no	—
1261	Dic₅₃	—	2	1	no	—
1262	Dic₅₃	—	2	4	no	—
1263	Dic₅₃	—	2	1	no	—
1264	Dic₅₃	—	2	2	no	—
1265	Dic₅₃	—	2	2	no	—
1266	Dic₅₃	—	2	1	no	—
1267	Dic₅₃	—	2	2	no	—
1268	Dic₅₃	—	2	1	no	—
1269	Dic₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1270	#3558	—	53	2	no	—
1271	#3558	—	53	2	no	—
1272	#3558	—	53	2	no	—
1273	#3558	—	53	2	no	—
1274	#3558	—	53	2	no	—
1275	#3558	—	53	4	no	—
1276	#3558	—	53	2	no	—
1277	#3558	—	53	2	no	—
1278	#3558	—	53	4	no	—
1279	#3558	—	53	2	no	—
1280	#3558	—	53	2	no	—
1281	#3558	—	53	2	no	—
1282	#3558	—	53	1	no	—
1283	#3558	—	53	1	no	—
1284	#3558	—	53	1	no	—
1285	#3558	D₅₃	1	1	yes	characteristic, direct product factor
1286	C₂×#562	—	53	2	no	—
1287	C₂×H(3,𝔽₄)	—	53	2	no	—
1288	C₂×#559	—	53	2	no	—
1289	C₂×#548	—	53	2	no	—
1290	C₂×#546	—	53	4	no	—
1291	C₂×#546	—	53	2	no	—
1292	C₂×D₄²	—	53	2	no	—
1293	C₂×#542	—	53	2	no	—
1294	C₂×#538	—	53	2	no	—
1295	C₂×#538	—	53	4	no	—
1296	C₂×#535	—	53	2	no	—
1297	C₂×#534	—	53	2	no	—
1298	C₂×#532	—	53	1	no	—
1299	C₂×#529	—	53	1	no	—
1300	C₂²×#124	—	53	1	no	—
1301	C₂×C₅₃	—	2	2	no	—
1302	C₂×C₅₃	—	4	4	no	—
1303	C₂×C₅₃	—	4	2	no	—
1304	C₂×C₅₃	—	4	4	no	—
1305	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1306	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1307	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1308	D₅₃	—	2	2	no	—
1309	D₅₃	—	4	4	no	—
1310	D₅₃	—	4	2	no	—
1311	D₅₃	—	4	4	no	—
1312	D₅₃	#3558	1	4	yes	direct product factor
1313	C₂²×#41	—	53	2	no	—
1314	C₂²×#41	—	53	2	no	—
1315	C₂³×Q₈	—	53	1	no	—
1316	C₂³×D₄	—	53	1	no	—
1317	C₂³×D₄	—	53	4	no	—
1318	C₂³×D₄	—	53	2	no	—
1319	#562	—	53	2	no	—
1320	#562	—	53	2	no	—
1321	#562	—	53	2	no	—
1322	#562	—	53	4	no	—
1323	#562	—	53	4	no	—
1324	#562	—	53	4	no	—
1325	#562	—	53	4	no	—
1326	#562	—	53	4	no	—
1327	#562	—	53	4	no	—
1328	#562	C₂×D₅₃	1	2	yes	complemented
1329	H(3,𝔽₄)	—	53	2	no	—
1330	H(3,𝔽₄)	—	53	4	no	—
1331	H(3,𝔽₄)	—	53	4	no	—
1332	H(3,𝔽₄)	—	53	2	no	—
1333	H(3,𝔽₄)	—	53	4	no	—
1334	H(3,𝔽₄)	—	53	2	no	—
1335	H(3,𝔽₄)	—	53	4	no	—
1336	H(3,𝔽₄)	—	53	4	no	—
1337	H(3,𝔽₄)	—	53	4	no	—
1338	H(3,𝔽₄)	C₂×D₅₃	1	2	yes	complemented
1339	#559	—	53	2	no	—
1340	#559	—	53	2	no	—
1341	#559	—	53	4	no	—
1342	#559	—	53	2	no	—
1343	#559	—	53	4	no	—
1344	#559	—	53	4	no	—
1345	#559	—	53	2	no	—
1346	#559	—	53	2	no	—
1347	#559	—	53	4	no	—
1348	#559	—	53	2	no	—
1349	#559	—	53	2	no	—
1350	#559	C₂×D₅₃	1	2	yes	complemented
1351	#548	—	53	2	no	—
1352	#548	—	53	2	no	—
1353	#548	—	53	4	no	—
1354	#548	—	53	2	no	—
1355	#548	—	53	2	no	—
1356	#548	—	53	4	no	—
1357	#548	—	53	4	no	—
1358	#548	—	53	2	no	—
1359	#548	—	53	2	no	—
1360	#548	—	53	4	no	—
1361	#548	—	53	2	no	—
1362	#548	C₂×D₅₃	1	2	yes	complemented
1363	#546	—	53	4	no	—
1364	#546	—	53	2	no	—
1365	#546	—	53	4	no	—
1366	#546	—	53	2	no	—
1367	#546	—	53	4	no	—
1368	#546	—	53	2	no	—
1369	#546	—	53	4	no	—
1370	#546	—	53	4	no	—
1371	#546	—	53	4	no	—
1372	#546	—	53	4	no	—
1373	#546	—	53	2	no	—
1374	#546	—	53	2	no	—
1375	#546	—	53	4	no	—
1376	#546	—	53	4	no	—
1377	#546	—	53	4	no	—
1378	#546	—	53	4	no	—
1379	#546	—	53	4	no	—
1380	#546	—	53	4	no	—
1381	#546	—	53	4	no	—
1382	#546	—	53	4	no	—
1383	#546	—	53	2	no	—
1384	#546	—	53	4	no	—
1385	#546	—	53	2	no	—
1386	#546	—	53	4	no	—
1387	#546	—	53	4	no	—
1388	#546	—	53	4	no	—
1389	#546	C₂×D₅₃	1	2	yes	complemented
1390	#546	C₂×D₅₃	1	4	yes	complemented
1391	D₄²	—	53	2	no	—
1392	D₄²	—	53	4	no	—
1393	D₄²	—	53	2	no	—
1394	D₄²	—	53	2	no	—
1395	D₄²	—	53	2	no	—
1396	D₄²	—	53	2	no	—
1397	D₄²	—	53	4	no	—
1398	D₄²	—	53	4	no	—
1399	D₄²	—	53	4	no	—
1400	D₄²	—	53	2	no	—
1401	D₄²	—	53	2	no	—
1402	D₄²	C₂×D₅₃	1	2	yes	complemented
1403	#542	—	53	2	no	—
1404	#542	—	53	4	no	—
1405	#542	—	53	4	no	—
1406	#542	—	53	2	no	—
1407	#542	—	53	4	no	—
1408	#542	—	53	4	no	—
1409	#542	—	53	2	no	—
1410	#542	—	53	2	no	—
1411	#542	—	53	2	no	—
1412	#542	—	53	2	no	—
1413	#542	—	53	2	no	—
1414	#542	C₂×D₅₃	1	2	yes	complemented
1415	#538	—	53	4	no	—
1416	#538	—	53	4	no	—
1417	#538	—	53	4	no	—
1418	#538	—	53	4	no	—
1419	#538	—	53	4	no	—
1420	#538	—	53	4	no	—
1421	#538	—	53	4	no	—
1422	#538	—	53	4	no	—
1423	#538	—	53	4	no	—
1424	#538	—	53	2	no	—
1425	#538	—	53	4	no	—
1426	#538	—	53	4	no	—
1427	#538	—	53	4	no	—
1428	#538	—	53	4	no	—
1429	#538	—	53	2	no	—
1430	#538	—	53	4	no	—
1431	#538	—	53	4	no	—
1432	#538	—	53	4	no	—
1433	#538	—	53	4	no	—
1434	#538	—	53	4	no	—
1435	#538	—	53	4	no	—
1436	#538	—	53	4	no	—
1437	#538	—	53	2	no	—
1438	#538	—	53	4	no	—
1439	#538	C₂×D₅₃	1	2	yes	complemented
1440	#538	C₂×D₅₃	1	4	yes	complemented
1441	#535	—	53	2	no	—
1442	#535	—	53	2	no	—
1443	#535	—	53	2	no	—
1444	#535	—	53	2	no	—
1445	#535	—	53	2	no	—
1446	#535	—	53	2	no	—
1447	#535	—	53	4	no	—
1448	#535	—	53	4	no	—
1449	#535	—	53	4	no	—
1450	#535	—	53	4	no	—
1451	#535	—	53	2	no	—
1452	#535	C₂×D₅₃	1	2	yes	complemented
1453	#534	—	53	4	no	—
1454	#534	—	53	4	no	—
1455	#534	—	53	4	no	—
1456	#534	—	53	2	no	—
1457	#534	—	53	2	no	—
1458	#534	—	53	4	no	—
1459	#534	—	53	4	no	—
1460	#534	—	53	4	no	—
1461	#534	—	53	2	no	—
1462	#534	C₂×D₅₃	1	2	yes	complemented
1463	#532	—	53	2	no	—
1464	#532	—	53	1	no	—
1465	#532	—	53	1	no	—
1466	#532	—	53	2	no	—
1467	#532	—	53	2	no	—
1468	#532	—	53	2	no	—
1469	#532	—	53	2	no	—
1470	#532	—	53	2	no	—
1471	#532	—	53	1	no	—
1472	#532	C₂×D₅₃	1	1	yes	characteristic, complemented
1473	C₂×C₄⋊Q₈	—	53	1	no	—
1474	C₂×#127	—	53	2	no	—
1475	C₂×#127	—	53	1	no	—
1476	#529	—	53	2	no	—
1477	#529	—	53	1	no	—
1478	#529	—	53	1	no	—
1479	#529	—	53	2	no	—
1480	#529	—	53	1	no	—
1481	#529	—	53	1	no	—
1482	#529	—	53	1	no	—
1483	#529	—	53	2	no	—
1484	#529	—	53	1	no	—
1485	#529	—	53	2	no	—
1486	#529	—	53	1	no	—
1487	#529	C₂×D₅₃	1	1	yes	characteristic, complemented
1488	C₂×#126	—	53	2	no	—
1489	C₂×#126	—	53	4	no	—
1490	C₂×#125	—	53	1	no	—
1491	C₂×#124	—	53	1	no	—
1492	C₂×#124	—	53	1	no	—
1493	C₂×#124	—	53	2	no	—
1494	C₂×#124	—	53	2	no	—
1495	C₂×#124	—	53	2	no	—
1496	C₂×#124	—	53	2	no	—
1497	C₂×#124	—	53	2	no	—
1498	C₂×#124	—	53	2	no	—
1499	C₂×#124	—	53	2	no	—
1500	C₂×#124	—	53	2	no	—
1501	C₂×#124	—	53	1	no	—
1502	C₂×#124	—	53	2	no	—
1503	C₂×#124	—	53	2	no	—
1504	C₂×#124	—	53	4	no	—
1505	C₂×#124	—	53	4	no	—
1506	C₂×#124	—	53	4	no	—
1507	C₂×#124	—	53	2	no	—
1508	C₂×#124	—	53	2	no	—
1509	C₂×#124	—	53	1	no	—
1510	C₂×#124	C₂×D₅₃	1	1	yes	characteristic, complemented
1511	C₂×#123	—	53	2	no	—
1512	C₂×#123	—	53	4	no	—
1513	C₂×#123	—	53	4	no	—
1514	C₂×#123	—	53	4	no	—
1515	C₂×#123	—	53	4	no	—
1516	C₂×C₂²⋊Q₈	—	53	1	no	—
1517	C₂×C₂²⋊Q₈	—	53	4	no	—
1518	C₂×C₂²⋊Q₈	—	53	2	no	—
1519	C₂×C₂²⋊Q₈	—	53	4	no	—
1520	C₂×#121	—	53	1	no	—
1521	C₂×#121	—	53	2	no	—
1522	C₂×#121	—	53	2	no	—
1523	C₂×#121	—	53	2	no	—
1524	C₂×#121	—	53	4	no	—
1525	C₂×#121	—	53	4	no	—
1526	C₂×#121	—	53	4	no	—
1527	C₂×#121	—	53	4	no	—
1528	C₂×#121	—	53	4	no	—
1529	C₂×#120	—	53	4	no	—
1530	C₂×#120	—	53	4	no	—
1531	C₂×#120	—	53	4	no	—
1532	C₂×#120	—	53	4	no	—
1533	C₂×#120	—	53	4	no	—
1534	C₂×C₄×Q₈	—	53	1	no	—
1535	C₂×C₄×Q₈	—	53	2	no	—
1536	C₂×C₄×D₄	—	53	2	no	—
1537	C₂×C₄×D₄	—	53	1	no	—
1538	C₂×C₄×D₄	—	53	2	no	—
1539	C₂×C₄×D₄	—	53	2	no	—
1540	C₂×C₄×D₄	—	53	4	no	—
1541	C₂×C₄×D₄	—	53	4	no	—
1542	C₂×C₄×D₄	—	53	2	no	—
1543	C₂×#117	—	53	2	no	—
1544	C₂²×C₂²⋊C₄	—	53	2	no	—
1545	C₂²×C₂²⋊C₄	—	53	2	no	—
1546	C₂²×C₂²⋊C₄	—	53	4	no	—
1547	C₂²×C₄²	—	53	1	no	—
1548	C₅₃	C₂×#3558	1	1	yes	characteristic, complemented, Sylow
1549	C₂⁵	—	53	2	no	—
1550	C₂⁵	—	53	4	no	—
1551	C₂×#41	—	53	2	no	—
1552	C₂×#41	—	53	2	no	—
1553	C₂×#41	—	53	4	no	—
1554	C₂×#41	—	53	2	no	—
1555	C₂×#41	—	53	4	no	—
1556	C₂×#41	—	53	2	no	—
1557	C₂×#41	—	53	4	no	—
1558	C₂×#41	—	53	2	no	—
1559	C₂×#41	—	53	4	no	—
1560	C₂×#41	—	53	2	no	—
1561	C₂×#41	—	212	8	no	—
1562	C₂×#41	—	212	8	no	—
1563	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1564	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1565	C₂²×Q₈	—	53	2	no	—
1566	C₂²×Q₈	—	53	1	no	—
1567	C₂²×Q₈	—	53	2	no	—
1568	C₂²×Q₈	—	53	2	no	—
1569	C₂²×Q₈	—	53	2	no	—
1570	C₂²×Q₈	—	53	2	no	—
1571	C₂²×Q₈	—	53	2	no	—
1572	C₂²×Q₈	—	53	1	no	—
1573	C₂²×Q₈	—	212	4	no	—
1574	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1575	C₂²×D₄	—	53	2	no	—
1576	C₂²×D₄	—	53	4	no	—
1577	C₂²×D₄	—	53	4	no	—
1578	C₂²×D₄	—	53	4	no	—
1579	C₂²×D₄	—	53	4	no	—
1580	C₂²×D₄	—	53	2	no	—
1581	C₂²×D₄	—	53	2	no	—
1582	C₂²×D₄	—	53	2	no	—
1583	C₂²×D₄	—	53	1	no	—
1584	C₂²×D₄	—	53	4	no	—
1585	C₂²×D₄	—	53	2	no	—
1586	C₂²×D₄	—	53	4	no	—
1587	C₂²×D₄	—	53	4	no	—
1588	C₂²×D₄	—	53	2	no	—
1589	C₂²×D₄	—	53	2	no	—
1590	C₂²×D₄	—	53	4	no	—
1591	C₂²×D₄	—	53	4	no	—
1592	C₂²×D₄	—	53	2	no	—
1593	C₂²×D₄	—	53	2	no	—
1594	C₂²×D₄	—	53	4	no	—
1595	C₂²×D₄	—	53	4	no	—
1596	C₂²×D₄	—	53	4	no	—
1597	C₂²×D₄	—	53	4	no	—
1598	C₂²×D₄	—	53	4	no	—
1599	C₂²×D₄	—	53	2	no	—
1600	C₂²×D₄	—	53	2	no	—
1601	C₂²×D₄	—	53	1	no	—
1602	C₂²×D₄	—	53	4	no	—
1603	C₂²×D₄	—	53	2	no	—
1604	C₂²×D₄	—	212	4	no	—
1605	C₂²×D₄	—	212	8	no	—
1606	C₂²×D₄	—	212	16	no	—
1607	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1608	C₂²×D₄	C₂²×D₅₃	1	4	yes	complemented
1609	C₂²×D₄	C₂²×D₅₃	1	2	yes	complemented
1610	C₂³×C₄	—	53	1	no	—
1611	C₂³×C₄	—	53	2	no	—
1612	C₂³×C₄	—	53	1	no	—
1613	C₂³×C₄	—	53	2	no	—
1614	C₂³×C₄	—	53	1	no	—
1615	C₂³×C₄	—	53	4	no	—
1616	C₂³×C₄	—	53	4	no	—
1617	C₂³×C₄	—	53	4	no	—
1618	C₄⋊Q₈	—	53	2	no	—
1619	C₄⋊Q₈	—	53	2	no	—
1620	C₄⋊Q₈	—	53	2	no	—
1621	C₄⋊Q₈	—	53	1	no	—
1622	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1623	#127	—	53	2	no	—
1624	#127	—	53	2	no	—
1625	#127	—	53	2	no	—
1626	#127	—	53	4	no	—
1627	#127	—	53	4	no	—
1628	#127	—	53	2	no	—
1629	#127	—	53	2	no	—
1630	#127	—	53	1	no	—
1631	#127	—	53	2	no	—
1632	#127	C₂²×D₅₃	1	2	yes	—
1633	#127	C₂²×D₅₃	1	1	yes	characteristic, complemented
1634	#126	—	53	2	no	—
1635	#126	—	53	2	no	—
1636	#126	—	53	2	no	—
1637	#126	—	53	4	no	—
1638	#126	—	53	4	no	—
1639	#126	—	53	4	no	—
1640	#126	—	53	2	no	—
1641	#126	—	53	2	no	—
1642	#126	—	53	2	no	—
1643	#126	—	53	4	no	—
1644	#126	—	53	4	no	—
1645	#126	—	53	4	no	—
1646	#126	—	53	2	no	—
1647	#126	—	53	4	no	—
1648	#126	C₂²×D₅₃	1	2	yes	complemented
1649	#126	C₂²×D₅₃	1	4	yes	complemented
1650	#125	—	53	2	no	—
1651	#125	—	53	2	no	—
1652	#125	—	53	1	no	—
1653	#125	—	53	1	no	—
1654	#125	—	53	1	no	—
1655	#125	C₂²×D₅₃	1	1	yes	characteristic, complemented
1656	#124	—	53	2	no	—
1657	#124	—	53	2	no	—
1658	#124	—	53	2	no	—
1659	#124	—	53	2	no	—
1660	#124	—	53	1	no	—
1661	#124	—	53	2	no	—
1662	#124	—	53	2	no	—
1663	#124	—	53	4	no	—
1664	#124	—	53	4	no	—
1665	#124	—	53	4	no	—
1666	#124	—	53	2	no	—
1667	#124	—	53	2	no	—
1668	#124	—	53	2	no	—
1669	#124	—	53	2	no	—
1670	#124	—	53	1	no	—
1671	#124	—	53	2	no	—
1672	#124	—	53	2	no	—
1673	#124	—	53	4	no	—
1674	#124	—	53	4	no	—
1675	#124	—	53	4	no	—
1676	#124	—	53	4	no	—
1677	#124	—	53	4	no	—
1678	#124	—	53	4	no	—
1679	#124	—	53	4	no	—
1680	#124	—	53	4	no	—
1681	#124	—	53	4	no	—
1682	#124	—	53	4	no	—
1683	#124	—	53	4	no	—
1684	#124	—	53	2	no	—
1685	#124	—	53	2	no	—
1686	#124	—	53	4	no	—
1687	#124	—	53	4	no	—
1688	#124	—	53	4	no	—
1689	#124	—	53	4	no	—
1690	#124	—	53	4	no	—
1691	#124	—	53	4	no	—
1692	#124	—	53	4	no	—
1693	#124	—	53	4	no	—
1694	#124	—	53	4	no	—
1695	#124	—	53	4	no	—
1696	#124	—	53	4	no	—
1697	#124	—	53	4	no	—
1698	#124	—	53	4	no	—
1699	#124	—	53	4	no	—
1700	#124	—	53	4	no	—
1701	#124	—	53	4	no	—
1702	#124	—	53	2	no	—
1703	#124	—	53	2	no	—
1704	#124	—	53	2	no	—
1705	#124	—	53	2	no	—
1706	#124	—	53	1	no	—
1707	#124	—	53	2	no	—
1708	#124	—	53	2	no	—
1709	#124	—	53	4	no	—
1710	#124	—	53	4	no	—
1711	#124	—	53	4	no	—
1712	#124	C₂²×D₅₃	1	2	yes	complemented
1713	#124	C₂²×D₅₃	1	2	yes	complemented
1714	#124	C₂²×D₅₃	1	2	yes	complemented
1715	#124	C₂²×D₅₃	1	2	yes	complemented
1716	#124	C₂²×D₅₃	1	1	yes	characteristic, complemented
1717	#124	C₂²×D₅₃	1	2	yes	complemented
1718	#124	C₂²×D₅₃	1	2	yes	complemented
1719	#124	C₂²×D₅₃	1	4	yes	complemented
1720	#124	C₂²×D₅₃	1	4	yes	complemented
1721	#124	C₂²×D₅₃	1	4	yes	complemented
1722	#123	—	53	2	no	—
1723	#123	—	53	4	no	—
1724	#123	—	53	4	no	—
1725	#123	—	53	4	no	—
1726	#123	—	53	4	no	—
1727	#123	—	53	2	no	—
1728	#123	—	53	4	no	—
1729	#123	—	53	4	no	—
1730	#123	—	53	4	no	—
1731	#123	—	53	4	no	—
1732	#123	—	53	2	no	—
1733	#123	—	53	2	no	—
1734	#123	—	53	4	no	—
1735	#123	—	53	4	no	—
1736	#123	—	53	4	no	—
1737	#123	—	53	4	no	—
1738	#123	—	53	4	no	—
1739	#123	—	53	4	no	—
1740	#123	—	53	4	no	—
1741	#123	—	53	4	no	—
1742	#123	—	53	2	no	—
1743	#123	—	53	2	no	—
1744	#123	—	53	2	no	—
1745	#123	—	53	4	no	—
1746	#123	—	53	4	no	—
1747	#123	—	53	4	no	—
1748	#123	—	53	4	no	—
1749	#123	—	53	4	no	—
1750	#123	—	53	4	no	—
1751	#123	—	53	4	no	—
1752	#123	—	53	4	no	—
1753	#123	—	53	4	no	—
1754	#123	—	53	4	no	—
1755	#123	—	53	4	no	—
1756	#123	—	53	4	no	—
1757	#123	C₂²×D₅₃	1	2	yes	complemented
1758	#123	C₂²×D₅₃	1	4	yes	complemented
1759	#123	C₂²×D₅₃	1	4	yes	complemented
1760	#123	C₂²×D₅₃	1	4	yes	complemented
1761	#123	C₂²×D₅₃	1	4	yes	complemented
1762	C₂²⋊Q₈	—	53	1	no	—
1763	C₂²⋊Q₈	—	53	4	no	—
1764	C₂²⋊Q₈	—	53	2	no	—
1765	C₂²⋊Q₈	—	53	4	no	—
1766	C₂²⋊Q₈	—	53	1	no	—
1767	C₂²⋊Q₈	—	53	4	no	—
1768	C₂²⋊Q₈	—	53	2	no	—
1769	C₂²⋊Q₈	—	53	4	no	—
1770	C₂²⋊Q₈	—	53	2	no	—
1771	C₂²⋊Q₈	—	53	1	no	—
1772	C₂²⋊Q₈	—	53	4	no	—
1773	C₂²⋊Q₈	—	53	4	no	—
1774	C₂²⋊Q₈	—	53	4	no	—
1775	C₂²⋊Q₈	—	53	4	no	—
1776	C₂²⋊Q₈	—	53	2	no	—
1777	C₂²⋊Q₈	—	53	4	no	—
1778	C₂²⋊Q₈	—	53	4	no	—
1779	C₂²⋊Q₈	—	53	4	no	—
1780	C₂²⋊Q₈	—	53	2	no	—
1781	C₂²⋊Q₈	—	53	4	no	—
1782	C₂²⋊Q₈	—	53	4	no	—
1783	C₂²⋊Q₈	—	53	4	no	—
1784	C₂²⋊Q₈	—	53	4	no	—
1785	C₂²⋊Q₈	—	53	4	no	—
1786	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1787	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1788	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1789	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1790	#121	—	53	1	no	—
1791	#121	—	53	2	no	—
1792	#121	—	53	2	no	—
1793	#121	—	53	4	no	—
1794	#121	—	53	2	no	—
1795	#121	—	53	4	no	—
1796	#121	—	53	4	no	—
1797	#121	—	53	4	no	—
1798	#121	—	53	4	no	—
1799	#121	—	53	4	no	—
1800	#121	—	53	4	no	—
1801	#121	—	53	4	no	—
1802	#121	—	53	4	no	—
1803	#121	—	53	4	no	—
1804	#121	—	53	4	no	—
1805	#121	—	53	4	no	—
1806	#121	—	53	4	no	—
1807	#121	—	53	4	no	—
1808	#121	—	53	4	no	—
1809	#121	—	53	4	no	—
1810	#121	—	53	4	no	—
1811	#121	—	53	2	no	—
1812	#121	—	53	4	no	—
1813	#121	—	53	1	no	—
1814	#121	—	53	2	no	—
1815	#121	—	53	2	no	—
1816	#121	—	53	4	no	—
1817	#121	—	53	4	no	—
1818	#121	—	53	4	no	—
1819	#121	—	53	4	no	—
1820	#121	—	53	4	no	—
1821	#121	—	53	2	no	—
1822	#121	—	53	1	no	—
1823	#121	—	53	2	no	—
1824	#121	—	53	2	no	—
1825	#121	—	53	4	no	—
1826	#121	—	53	4	no	—
1827	#121	—	53	4	no	—
1828	#121	—	53	4	no	—
1829	#121	—	53	4	no	—
1830	#121	—	53	2	no	—
1831	#121	—	53	2	no	—
1832	#121	—	53	4	no	—
1833	#121	—	53	4	no	—
1834	#121	—	53	4	no	—
1835	#121	—	53	4	no	—
1836	#121	—	53	4	no	—
1837	#121	—	53	4	no	—
1838	#121	—	53	4	no	—
1839	#121	—	53	4	no	—
1840	#121	—	53	4	no	—
1841	#121	—	53	4	no	—
1842	#121	—	53	4	no	—
1843	#121	—	53	4	no	—
1844	#121	—	53	4	no	—
1845	#121	C₂²×D₅₃	1	1	yes	characteristic
1846	#121	C₂²×D₅₃	1	2	yes	—
1847	#121	C₂²×D₅₃	1	2	yes	complemented
1848	#121	C₂²×D₅₃	1	2	yes	complemented
1849	#121	C₂²×D₅₃	1	4	yes	complemented
1850	#121	C₂²×D₅₃	1	4	yes	complemented
1851	#121	C₂²×D₅₃	1	4	yes	complemented
1852	#121	C₂²×D₅₃	1	4	yes	complemented
1853	#121	C₂²×D₅₃	1	4	yes	complemented
1854	#120	—	53	4	no	—
1855	#120	—	53	4	no	—
1856	#120	—	53	4	no	—
1857	#120	—	53	4	no	—
1858	#120	—	53	4	no	—
1859	#120	—	53	4	no	—
1860	#120	—	53	4	no	—
1861	#120	—	53	4	no	—
1862	#120	—	53	4	no	—
1863	#120	—	53	4	no	—
1864	#120	—	53	4	no	—
1865	#120	—	53	4	no	—
1866	#120	—	53	4	no	—
1867	#120	—	53	4	no	—
1868	#120	—	53	4	no	—
1869	#120	—	53	4	no	—
1870	#120	—	53	4	no	—
1871	#120	—	53	4	no	—
1872	#120	—	53	4	no	—
1873	#120	—	53	4	no	—
1874	#120	—	53	4	no	—
1875	#120	—	53	4	no	—
1876	#120	—	53	4	no	—
1877	#120	—	53	4	no	—
1878	#120	—	53	4	no	—
1879	#120	—	53	4	no	—
1880	#120	—	53	4	no	—
1881	#120	—	53	4	no	—
1882	#120	—	53	4	no	—
1883	#120	—	53	4	no	—
1884	#120	—	53	4	no	—
1885	#120	—	53	4	no	—
1886	#120	—	53	4	no	—
1887	#120	—	53	4	no	—
1888	#120	—	53	4	no	—
1889	#120	C₂²×D₅₃	1	4	yes	complemented
1890	#120	C₂²×D₅₃	1	4	yes	complemented
1891	#120	C₂²×D₅₃	1	4	yes	complemented
1892	#120	C₂²×D₅₃	1	4	yes	complemented
1893	#120	C₂²×D₅₃	1	4	yes	complemented
1894	C₄×Q₈	—	53	1	no	—
1895	C₄×Q₈	—	53	2	no	—
1896	C₄×Q₈	—	53	1	no	—
1897	C₄×Q₈	—	53	2	no	—
1898	C₄×Q₈	—	53	4	no	—
1899	C₄×Q₈	—	53	2	no	—
1900	C₄×Q₈	—	53	2	no	—
1901	C₄×Q₈	—	53	1	no	—
1902	C₄×Q₈	—	53	4	no	—
1903	C₄×Q₈	—	53	2	no	—
1904	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1905	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1906	C₄×D₄	—	53	2	no	—
1907	C₄×D₄	—	53	1	no	—
1908	C₄×D₄	—	53	2	no	—
1909	C₄×D₄	—	53	2	no	—
1910	C₄×D₄	—	53	4	no	—
1911	C₄×D₄	—	53	4	no	—
1912	C₄×D₄	—	53	2	no	—
1913	C₄×D₄	—	53	2	no	—
1914	C₄×D₄	—	53	2	no	—
1915	C₄×D₄	—	53	2	no	—
1916	C₄×D₄	—	53	4	no	—
1917	C₄×D₄	—	53	4	no	—
1918	C₄×D₄	—	53	4	no	—
1919	C₄×D₄	—	53	4	no	—
1920	C₄×D₄	—	53	4	no	—
1921	C₄×D₄	—	53	4	no	—
1922	C₄×D₄	—	53	4	no	—
1923	C₄×D₄	—	53	2	no	—
1924	C₄×D₄	—	53	1	no	—
1925	C₄×D₄	—	53	2	no	—
1926	C₄×D₄	—	53	2	no	—
1927	C₄×D₄	—	53	4	no	—
1928	C₄×D₄	—	53	4	no	—
1929	C₄×D₄	—	53	2	no	—
1930	C₄×D₄	—	53	2	no	—
1931	C₄×D₄	—	53	2	no	—
1932	C₄×D₄	—	53	2	no	—
1933	C₄×D₄	—	53	4	no	—
1934	C₄×D₄	—	53	4	no	—
1935	C₄×D₄	—	53	4	no	—
1936	C₄×D₄	—	53	4	no	—
1937	C₄×D₄	—	53	4	no	—
1938	C₄×D₄	—	53	4	no	—
1939	C₄×D₄	—	53	4	no	—
1940	C₄×D₄	—	53	2	no	—
1941	C₄×D₄	—	53	1	no	—
1942	C₄×D₄	—	53	2	no	—
1943	C₄×D₄	—	53	2	no	—
1944	C₄×D₄	—	53	4	no	—
1945	C₄×D₄	—	53	4	no	—
1946	C₄×D₄	—	53	2	no	—
1947	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1948	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1949	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1950	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1951	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1952	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1953	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1954	#117	—	53	2	no	—
1955	#117	—	53	2	no	—
1956	#117	—	53	2	no	—
1957	#117	—	53	2	no	—
1958	#117	—	53	2	no	—
1959	#117	—	53	2	no	—
1960	#117	—	53	2	no	—
1961	#117	C₂²×D₅₃	1	2	yes	complemented
1962	C₂×C₄⋊C₄	—	53	2	no	—
1963	C₂×C₄⋊C₄	—	53	2	no	—
1964	C₂×C₄⋊C₄	—	53	2	no	—
1965	C₂×C₄⋊C₄	—	53	2	no	—
1966	C₂×C₄⋊C₄	—	53	2	no	—
1967	C₂×C₄⋊C₄	—	53	4	no	—
1968	C₂×C₄⋊C₄	—	53	2	no	—
1969	C₂×C₄⋊C₄	—	53	1	no	—
1970	C₂×C₄⋊C₄	—	53	4	no	—
1971	C₂×C₄⋊C₄	—	53	1	no	—
1972	C₂×C₂²⋊C₄	—	53	2	no	—
1973	C₂×C₂²⋊C₄	—	53	2	no	—
1974	C₂×C₂²⋊C₄	—	53	4	no	—
1975	C₂×C₂²⋊C₄	—	53	2	no	—
1976	C₂×C₂²⋊C₄	—	53	2	no	—
1977	C₂×C₂²⋊C₄	—	53	2	no	—
1978	C₂×C₂²⋊C₄	—	53	2	no	—
1979	C₂×C₂²⋊C₄	—	53	4	no	—
1980	C₂×C₂²⋊C₄	—	53	4	no	—
1981	C₂×C₂²⋊C₄	—	53	2	no	—
1982	C₂×C₂²⋊C₄	—	53	4	no	—
1983	C₂×C₂²⋊C₄	—	53	4	no	—
1984	C₂×C₂²⋊C₄	—	53	4	no	—
1985	C₂×C₂²⋊C₄	—	53	4	no	—
1986	C₂×C₂²⋊C₄	—	53	4	no	—
1987	C₂×C₂²⋊C₄	—	53	4	no	—
1988	C₂×C₂²⋊C₄	—	53	4	no	—
1989	C₂×C₂²⋊C₄	—	53	4	no	—
1990	C₂×C₂²⋊C₄	—	53	4	no	—
1991	C₂×C₂²⋊C₄	—	53	4	no	—
1992	C₂×C₂²⋊C₄	—	53	4	no	—
1993	C₂×C₂²⋊C₄	—	53	4	no	—
1994	C₂×C₂²⋊C₄	—	53	4	no	—
1995	C₂×C₂²⋊C₄	—	53	4	no	—
1996	C₂×C₂²⋊C₄	—	53	2	no	—
1997	C₂×C₂²⋊C₄	—	53	2	no	—
1998	C₂×C₂²⋊C₄	—	53	2	no	—
1999	C₂×C₂²⋊C₄	—	53	4	no	—
2000	C₂×C₂²⋊C₄	—	53	2	no	—
2001	C₂×C₂²⋊C₄	—	53	4	no	—
2002	C₂×C₂²⋊C₄	—	53	4	no	—
2003	C₂×C₂²⋊C₄	—	53	4	no	—
2004	C₂×C₂²⋊C₄	—	53	4	no	—
2005	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2006	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2007	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
2008	C₂×C₄²	—	53	1	no	—
2009	C₂×C₄²	—	53	1	no	—
2010	C₂×C₄²	—	53	1	no	—
2011	C₂×C₄²	—	53	1	no	—
2012	C₂×C₄²	—	53	2	no	—
2013	C₂×C₄²	—	53	1	no	—
2014	C₂×C₄²	—	53	4	no	—
2015	C₂×C₄²	—	53	1	no	—
2016	C₂×C₄²	—	53	1	no	—
2017	C₂×C₄²	—	53	1	no	—
2018	C₂×C₄²	—	53	1	no	—
2019	C₂×C₄²	—	53	1	no	—
2020	C₂×C₄²	—	53	1	no	—
2021	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic, complemented
2022	C₂⁴	—	53	1	no	—
2023	C₂⁴	—	53	2	no	—
2024	C₂⁴	—	53	4	no	—
2025	C₂⁴	—	53	4	no	—
2026	C₂⁴	—	53	4	no	—
2027	C₂⁴	—	53	2	no	—
2028	C₂⁴	—	53	4	no	—
2029	C₂⁴	—	53	4	no	—
2030	C₂⁴	—	53	4	no	—
2031	C₂⁴	—	106	8	no	—
2032	C₂⁴	—	212	4	no	—
2033	C₂⁴	—	212	8	no	—
2034	C₂⁴	—	212	8	no	—
2035	C₂⁴	—	212	4	no	—
2036	C₂⁴	—	212	8	no	—
2037	C₂⁴	C₂³×D₅₃	1	2	yes	—
2038	C₂⁴	C₂³×D₅₃	1	4	yes	—
2039	#41	—	4	4	no	—
2040	#41	—	4	4	no	—
2041	#41	—	212	4	no	—
2042	#41	—	212	4	no	—
2043	#41	—	212	8	no	—
2044	#41	—	212	8	no	—
2045	#41	—	212	8	no	—
2046	#41	—	212	4	no	—
2047	#41	—	212	4	no	—
2048	#41	—	212	8	no	—
2049	#41	—	212	4	no	—
2050	#41	—	212	4	no	—
2051	C₂×Q₈	—	4	2	no	—
2052	C₂×Q₈	—	53	4	no	—
2053	C₂×Q₈	—	53	2	no	—
2054	C₂×Q₈	—	53	1	no	—
2055	C₂×Q₈	—	53	2	no	—
2056	C₂×Q₈	—	53	4	no	—
2057	C₂×Q₈	—	53	2	no	—
2058	C₂×Q₈	—	53	4	no	—
2059	C₂×Q₈	—	53	2	no	—
2060	C₂×Q₈	—	106	8	no	—
2061	C₂×Q₈	—	212	2	no	—
2062	C₂×Q₈	—	212	4	no	—
2063	C₂×Q₈	—	212	2	no	—
2064	C₂×Q₈	—	212	4	no	—
2065	C₂×Q₈	—	212	4	no	—
2066	C₂×Q₈	—	212	4	no	—
2067	C₂×Q₈	—	212	4	no	—
2068	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2069	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2070	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2071	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2072	C₂×D₄	—	4	2	no	—
2073	C₂×D₄	—	4	4	no	—
2074	C₂×D₄	—	4	8	no	—
2075	C₂×D₄	—	53	4	no	—
2076	C₂×D₄	—	53	4	no	—
2077	C₂×D₄	—	53	2	no	—
2078	C₂×D₄	—	53	2	no	—
2079	C₂×D₄	—	53	4	no	—
2080	C₂×D₄	—	53	4	no	—
2081	C₂×D₄	—	53	2	no	—
2082	C₂×D₄	—	53	4	no	—
2083	C₂×D₄	—	53	4	no	—
2084	C₂×D₄	—	53	4	no	—
2085	C₂×D₄	—	53	4	no	—
2086	C₂×D₄	—	53	4	no	—
2087	C₂×D₄	—	53	4	no	—
2088	C₂×D₄	—	53	4	no	—
2089	C₂×D₄	—	53	4	no	—
2090	C₂×D₄	—	53	4	no	—
2091	C₂×D₄	—	53	4	no	—
2092	C₂×D₄	—	53	4	no	—
2093	C₂×D₄	—	53	4	no	—
2094	C₂×D₄	—	53	4	no	—
2095	C₂×D₄	—	53	4	no	—
2096	C₂×D₄	—	53	2	no	—
2097	C₂×D₄	—	53	2	no	—
2098	C₂×D₄	—	53	2	no	—
2099	C₂×D₄	—	53	1	no	—
2100	C₂×D₄	—	53	4	no	—
2101	C₂×D₄	—	53	2	no	—
2102	C₂×D₄	—	53	4	no	—
2103	C₂×D₄	—	53	4	no	—
2104	C₂×D₄	—	53	2	no	—
2105	C₂×D₄	—	53	2	no	—
2106	C₂×D₄	—	53	4	no	—
2107	C₂×D₄	—	53	4	no	—
2108	C₂×D₄	—	106	8	no	—
2109	C₂×D₄	—	106	8	no	—
2110	C₂×D₄	—	106	8	no	—
2111	C₂×D₄	—	106	16	no	—
2112	C₂×D₄	—	212	2	no	—
2113	C₂×D₄	—	212	4	no	—
2114	C₂×D₄	—	212	8	no	—
2115	C₂×D₄	—	212	4	no	—
2116	C₂×D₄	—	212	4	no	—
2117	C₂×D₄	—	212	4	no	—
2118	C₂×D₄	—	212	4	no	—
2119	C₂×D₄	—	212	8	no	—
2120	C₂×D₄	—	212	4	no	—
2121	C₂×D₄	—	212	2	no	—
2122	C₂×D₄	—	212	8	no	—
2123	C₂×D₄	—	212	8	no	—
2124	C₂×D₄	—	212	4	no	—
2125	C₂×D₄	—	212	8	no	—
2126	C₂×D₄	—	212	8	no	—
2127	C₂×D₄	—	212	4	no	—
2128	C₂×D₄	—	212	8	no	—
2129	C₂×D₄	—	212	4	no	—
2130	C₂×D₄	—	212	8	no	—
2131	C₂×D₄	—	212	8	no	—
2132	C₂×D₄	—	212	8	no	—
2133	C₂×D₄	—	212	8	no	—
2134	C₂×D₄	—	212	8	no	—
2135	C₂×D₄	—	212	8	no	—
2136	C₂×D₄	—	212	8	no	—
2137	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2138	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2139	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2140	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2141	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2142	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2143	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2144	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2145	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2146	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2147	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2148	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2149	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2150	C₂²×C₄	—	53	1	no	—
2151	C₂²×C₄	—	53	1	no	—
2152	C₂²×C₄	—	53	1	no	—
2153	C₂²×C₄	—	53	2	no	—
2154	C₂²×C₄	—	53	1	no	—
2155	C₂²×C₄	—	53	2	no	—
2156	C₂²×C₄	—	53	4	no	—
2157	C₂²×C₄	—	53	4	no	—
2158	C₂²×C₄	—	53	4	no	—
2159	C₂²×C₄	—	53	2	no	—
2160	C₂²×C₄	—	53	1	no	—
2161	C₂²×C₄	—	53	1	no	—
2162	C₂²×C₄	—	53	1	no	—
2163	C₂²×C₄	—	53	1	no	—
2164	C₂²×C₄	—	53	1	no	—
2165	C₂²×C₄	—	53	1	no	—
2166	C₂²×C₄	—	53	1	no	—
2167	C₂²×C₄	—	53	1	no	—
2168	C₂²×C₄	—	53	1	no	—
2169	C₂²×C₄	—	53	4	no	—
2170	C₂²×C₄	—	53	4	no	—
2171	C₂²×C₄	—	53	2	no	—
2172	C₂²×C₄	—	53	2	no	—
2173	C₂²×C₄	—	53	2	no	—
2174	C₂²×C₄	—	53	2	no	—
2175	C₂²×C₄	—	53	1	no	—
2176	C₂²×C₄	—	53	1	no	—
2177	C₂²×C₄	—	53	4	no	—
2178	C₂²×C₄	—	53	4	no	—
2179	C₂²×C₄	—	53	4	no	—
2180	C₂²×C₄	—	53	4	no	—
2181	C₂²×C₄	—	53	4	no	—
2182	C₂²×C₄	—	53	4	no	—
2183	C₂²×C₄	—	53	4	no	—
2184	C₂²×C₄	—	106	4	no	—
2185	C₂²×C₄	—	106	8	no	—
2186	C₂²×C₄	—	106	4	no	—
2187	C₂²×C₄	—	212	2	no	—
2188	C₂²×C₄	—	212	8	no	—
2189	C₂²×C₄	—	212	4	no	—
2190	C₂²×C₄	—	212	8	no	—
2191	C₂²×C₄	—	212	8	no	—
2192	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2193	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2194	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2195	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2196	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2197	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2198	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2199	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2200	C₄⋊C₄	—	53	2	no	—
2201	C₄⋊C₄	—	53	2	no	—
2202	C₄⋊C₄	—	53	2	no	—
2203	C₄⋊C₄	—	53	2	no	—
2204	C₄⋊C₄	—	53	2	no	—
2205	C₄⋊C₄	—	53	2	no	—
2206	C₄⋊C₄	—	53	4	no	—
2207	C₄⋊C₄	—	53	2	no	—
2208	C₄⋊C₄	—	53	2	no	—
2209	C₄⋊C₄	—	53	2	no	—
2210	C₄⋊C₄	—	53	2	no	—
2211	C₄⋊C₄	—	53	2	no	—
2212	C₄⋊C₄	—	53	2	no	—
2213	C₄⋊C₄	—	53	2	no	—
2214	C₄⋊C₄	—	53	4	no	—
2215	C₄⋊C₄	—	53	4	no	—
2216	C₄⋊C₄	—	53	4	no	—
2217	C₄⋊C₄	—	53	4	no	—
2218	C₄⋊C₄	—	53	2	no	—
2219	C₄⋊C₄	—	53	2	no	—
2220	C₄⋊C₄	—	53	1	no	—
2221	C₄⋊C₄	—	53	4	no	—
2222	C₄⋊C₄	—	53	4	no	—
2223	C₄⋊C₄	—	53	4	no	—
2224	C₄⋊C₄	—	53	2	no	—
2225	C₄⋊C₄	—	53	1	no	—
2226	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2227	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2228	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2229	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2230	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2231	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2232	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2233	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2234	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2235	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2236	C₂²⋊C₄	—	53	2	no	—
2237	C₂²⋊C₄	—	53	4	no	—
2238	C₂²⋊C₄	—	53	4	no	—
2239	C₂²⋊C₄	—	53	4	no	—
2240	C₂²⋊C₄	—	53	4	no	—
2241	C₂²⋊C₄	—	53	4	no	—
2242	C₂²⋊C₄	—	53	4	no	—
2243	C₂²⋊C₄	—	53	2	no	—
2244	C₂²⋊C₄	—	53	2	no	—
2245	C₂²⋊C₄	—	53	2	no	—
2246	C₂²⋊C₄	—	53	4	no	—
2247	C₂²⋊C₄	—	53	2	no	—
2248	C₂²⋊C₄	—	53	4	no	—
2249	C₂²⋊C₄	—	53	4	no	—
2250	C₂²⋊C₄	—	53	4	no	—
2251	C₂²⋊C₄	—	53	4	no	—
2252	C₂²⋊C₄	—	53	2	no	—
2253	C₂²⋊C₄	—	53	2	no	—
2254	C₂²⋊C₄	—	53	4	no	—
2255	C₂²⋊C₄	—	53	4	no	—
2256	C₂²⋊C₄	—	53	4	no	—
2257	C₂²⋊C₄	—	53	4	no	—
2258	C₂²⋊C₄	—	53	4	no	—
2259	C₂²⋊C₄	—	53	4	no	—
2260	C₂²⋊C₄	—	53	4	no	—
2261	C₂²⋊C₄	—	53	4	no	—
2262	C₂²⋊C₄	—	53	4	no	—
2263	C₂²⋊C₄	—	53	4	no	—
2264	C₂²⋊C₄	—	53	4	no	—
2265	C₂²⋊C₄	—	53	4	no	—
2266	C₂²⋊C₄	—	53	2	no	—
2267	C₂²⋊C₄	—	53	2	no	—
2268	C₂²⋊C₄	—	53	2	no	—
2269	C₂²⋊C₄	—	53	2	no	—
2270	C₂²⋊C₄	—	53	2	no	—
2271	C₂²⋊C₄	—	53	2	no	—
2272	C₂²⋊C₄	—	53	4	no	—
2273	C₂²⋊C₄	—	53	4	no	—
2274	C₂²⋊C₄	—	53	2	no	—
2275	C₂²⋊C₄	—	53	2	no	—
2276	C₂²⋊C₄	—	53	4	no	—
2277	C₂²⋊C₄	—	53	4	no	—
2278	C₂²⋊C₄	—	53	4	no	—
2279	C₂²⋊C₄	—	53	4	no	—
2280	C₂²⋊C₄	—	53	4	no	—
2281	C₂²⋊C₄	—	53	4	no	—
2282	C₂²⋊C₄	—	53	4	no	—
2283	C₂²⋊C₄	—	53	4	no	—
2284	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2285	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2286	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2287	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2288	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2289	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2290	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2291	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2292	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2293	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2294	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2295	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2296	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2297	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2298	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2299	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2300	C₄²	—	53	1	no	—
2301	C₄²	—	53	1	no	—
2302	C₄²	—	53	1	no	—
2303	C₄²	—	53	1	no	—
2304	C₄²	—	53	1	no	—
2305	C₄²	—	53	1	no	—
2306	C₄²	—	53	1	no	—
2307	C₄²	—	53	1	no	—
2308	C₄²	—	53	1	no	—
2309	C₄²	—	53	1	no	—
2310	C₄²	—	53	1	no	—
2311	C₄²	—	53	1	no	—
2312	C₄²	—	53	2	no	—
2313	C₄²	—	53	2	no	—
2314	C₄²	—	53	2	no	—
2315	C₄²	—	53	4	no	—
2316	C₄²	—	53	4	no	—
2317	C₄²	—	53	4	no	—
2318	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2319	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2320	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2321	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2322	C₄²	C₂³×D₅₃	1	2	yes	—
2323	C₄²	C₂³×D₅₃	1	4	yes	—
2324	C₂³	—	2	4	no	—
2325	C₂³	—	4	2	no	—
2326	C₂³	—	4	4	no	—
2327	C₂³	—	4	4	no	—
2328	C₂³	—	4	2	no	—
2329	C₂³	—	4	4	no	—
2330	C₂³	—	53	1	no	—
2331	C₂³	—	53	4	no	—
2332	C₂³	—	53	1	no	—
2333	C₂³	—	53	2	no	—
2334	C₂³	—	53	4	no	—
2335	C₂³	—	53	4	no	—
2336	C₂³	—	106	2	no	—
2337	C₂³	—	106	2	no	—
2338	C₂³	—	106	8	no	—
2339	C₂³	—	106	4	no	—
2340	C₂³	—	106	8	no	—
2341	C₂³	—	106	8	no	—
2342	C₂³	—	106	8	no	—
2343	C₂³	—	106	8	no	—
2344	C₂³	—	106	4	no	—
2345	C₂³	—	106	8	no	—
2346	C₂³	—	106	4	no	—
2347	C₂³	—	106	8	no	—
2348	C₂³	—	106	4	no	—
2349	C₂³	—	424	16	no	—
2350	C₂³	—	424	32	no	—
2351	C₂³	—	212	2	no	—
2352	C₂³	—	212	4	no	—
2353	C₂³	—	212	4	no	—
2354	C₂³	—	212	4	no	—
2355	C₂³	—	212	4	no	—
2356	C₂³	—	212	4	no	—
2357	C₂³	—	212	4	no	—
2358	C₂³	—	212	4	no	—
2359	C₂³	—	212	2	no	—
2360	C₂³	—	212	4	no	—
2361	C₂³	—	212	4	no	—
2362	C₂³	—	212	4	no	—
2363	C₂³	—	212	4	no	—
2364	C₂³	C₂⁴×D₅₃	1	2	yes	—
2365	C₂³	C₂⁴×D₅₃	1	4	yes	—
2366	C₂³	C₂⁴×D₅₃	1	4	yes	—
2367	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2368	Q₈	—	2	4	no	—
2369	Q₈	—	4	2	no	—
2370	Q₈	—	4	1	no	—
2371	Q₈	—	4	2	no	—
2372	Q₈	—	106	8	no	—
2373	Q₈	—	106	4	no	—
2374	Q₈	—	212	1	no	—
2375	Q₈	—	212	2	no	—
2376	Q₈	—	212	2	no	—
2377	Q₈	—	212	4	no	—
2378	Q₈	—	212	2	no	—
2379	Q₈	—	212	4	no	—
2380	D₄	—	2	4	no	—
2381	D₄	—	2	8	no	—
2382	D₄	—	2	4	no	—
2383	D₄	—	2	4	no	—
2384	D₄	—	4	4	no	—
2385	D₄	—	4	2	no	—
2386	D₄	—	4	4	no	—
2387	D₄	—	4	4	no	—
2388	D₄	—	4	2	no	—
2389	D₄	—	4	1	no	—
2390	D₄	—	4	4	no	—
2391	D₄	—	4	2	no	—
2392	D₄	—	4	4	no	—
2393	D₄	—	106	4	no	—
2394	D₄	—	106	8	no	—
2395	D₄	—	106	8	no	—
2396	D₄	—	106	8	no	—
2397	D₄	—	106	4	no	—
2398	D₄	—	106	8	no	—
2399	D₄	—	106	4	no	—
2400	D₄	—	106	8	no	—
2401	D₄	—	106	4	no	—
2402	D₄	—	106	4	no	—
2403	D₄	—	212	2	no	—
2404	D₄	—	212	1	no	—
2405	D₄	—	212	4	no	—
2406	D₄	—	212	4	no	—
2407	D₄	—	212	2	no	—
2408	D₄	—	212	4	no	—
2409	D₄	—	212	4	no	—
2410	D₄	—	212	2	no	—
2411	D₄	—	212	4	no	—
2412	D₄	—	212	4	no	—
2413	D₄	—	212	2	no	—
2414	D₄	—	212	4	no	—
2415	D₄	—	212	4	no	—
2416	D₄	—	212	4	no	—
2417	D₄	—	212	4	no	—
2418	D₄	—	212	4	no	—
2419	D₄	—	212	4	no	—
2420	D₄	—	212	4	no	—
2421	D₄	—	212	4	no	—
2422	D₄	—	212	4	no	—
2423	D₄	—	212	4	no	—
2424	D₄	—	212	4	no	—
2425	D₄	—	212	4	no	—
2426	C₂×C₄	—	2	2	no	—
2427	C₂×C₄	—	2	2	no	—
2428	C₂×C₄	—	2	4	no	—
2429	C₂×C₄	—	4	1	no	—
2430	C₂×C₄	—	4	4	no	—
2431	C₂×C₄	—	4	2	no	—
2432	C₂×C₄	—	4	4	no	—
2433	C₂×C₄	—	4	4	no	—
2434	C₂×C₄	—	53	1	no	—
2435	C₂×C₄	—	53	4	no	—
2436	C₂×C₄	—	53	2	no	—
2437	C₂×C₄	—	53	1	no	—
2438	C₂×C₄	—	53	1	no	—
2439	C₂×C₄	—	53	1	no	—
2440	C₂×C₄	—	53	1	no	—
2441	C₂×C₄	—	53	1	no	—
2442	C₂×C₄	—	53	4	no	—
2443	C₂×C₄	—	53	4	no	—
2444	C₂×C₄	—	53	2	no	—
2445	C₂×C₄	—	53	2	no	—
2446	C₂×C₄	—	106	2	no	—
2447	C₂×C₄	—	106	4	no	—
2448	C₂×C₄	—	106	2	no	—
2449	C₂×C₄	—	106	4	no	—
2450	C₂×C₄	—	106	2	no	—
2451	C₂×C₄	—	106	2	no	—
2452	C₂×C₄	—	106	2	no	—
2453	C₂×C₄	—	106	2	no	—
2454	C₂×C₄	—	106	4	no	—
2455	C₂×C₄	—	106	8	no	—
2456	C₂×C₄	—	106	8	no	—
2457	C₂×C₄	—	106	2	no	—
2458	C₂×C₄	—	106	2	no	—
2459	C₂×C₄	—	106	4	no	—
2460	C₂×C₄	—	106	2	no	—
2461	C₂×C₄	—	106	4	no	—
2462	C₂×C₄	—	106	2	no	—
2463	C₂×C₄	—	106	2	no	—
2464	C₂×C₄	—	106	4	no	—
2465	C₂×C₄	—	212	1	no	—
2466	C₂×C₄	—	212	1	no	—
2467	C₂×C₄	—	212	4	no	—
2468	C₂×C₄	—	212	4	no	—
2469	C₂×C₄	—	212	4	no	—
2470	C₂×C₄	—	212	4	no	—
2471	C₂×C₄	—	212	4	no	—
2472	C₂×C₄	—	212	4	no	—
2473	C₂×C₄	—	212	4	no	—
2474	C₂×C₄	—	212	1	no	—
2475	C₂×C₄	—	212	4	no	—
2476	C₂×C₄	—	212	2	no	—
2477	C₂×C₄	—	212	4	no	—
2478	C₂×C₄	—	212	4	no	—
2479	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2480	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2481	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2482	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2483	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2484	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2485	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2486	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2487	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2488	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2489	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2490	C₂²	—	2	1	no	—
2491	C₂²	—	2	1	no	—
2492	C₂²	—	2	2	no	—
2493	C₂²	—	2	4	no	—
2494	C₂²	—	2	4	no	—
2495	C₂²	—	2	4	no	—
2496	C₂²	—	2	2	no	—
2497	C₂²	—	2	4	no	—
2498	C₂²	—	2	4	no	—
2499	C₂²	—	2	2	no	—
2500	C₂²	—	2	4	no	—
2501	C₂²	—	8	4	no	—
2502	C₂²	—	8	8	no	—
2503	C₂²	—	53	2	no	—
2504	C₂²	—	53	2	no	—
2505	C₂²	—	53	2	no	—
2506	C₂²	—	53	2	no	—
2507	C₂²	—	106	8	no	—
2508	C₂²	—	106	1	no	—
2509	C₂²	—	106	1	no	—
2510	C₂²	—	106	2	no	—
2511	C₂²	—	106	4	no	—
2512	C₂²	—	106	4	no	—
2513	C₂²	—	106	4	no	—
2514	C₂²	—	106	2	no	—
2515	C₂²	—	106	4	no	—
2516	C₂²	—	106	4	no	—
2517	C₂²	—	106	2	no	—
2518	C₂²	—	106	4	no	—
2519	C₂²	—	424	4	no	—
2520	C₂²	—	424	8	no	—
2521	C₂²	—	424	8	no	—
2522	C₂²	—	424	8	no	—
2523	C₂²	—	424	8	no	—
2524	C₂²	—	212	8	no	—
2525	C₂²	—	212	16	no	—
2526	C₂²	—	212	16	no	—
2527	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
2528	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2529	C₄	—	2	1	no	—
2530	C₄	—	2	2	no	—
2531	C₄	—	2	1	no	—
2532	C₄	—	2	1	no	—
2533	C₄	—	2	2	no	—
2534	C₄	—	2	4	no	—
2535	C₄	—	2	4	no	—
2536	C₄	—	2	1	no	—
2537	C₄	—	2	1	no	—
2538	C₄	—	2	2	no	—
2539	C₄	—	53	2	no	—
2540	C₄	—	106	1	no	—
2541	C₄	—	106	2	no	—
2542	C₄	—	106	1	no	—
2543	C₄	—	106	1	no	—
2544	C₄	—	106	2	no	—
2545	C₄	—	106	4	no	—
2546	C₄	—	106	4	no	—
2547	C₄	—	106	1	no	—
2548	C₄	—	106	1	no	—
2549	C₄	—	106	2	no	—
2550	C₄	H(5,𝔽₂)×D₅₃	1	2	yes	—
2551	C₂	—	2	2	no	—
2552	C₂	—	4	2	no	—
2553	C₂	—	4	4	no	—
2554	C₂	—	4	4	no	—
2555	C₂	—	53	4	no	—
2556	C₂	—	106	2	no	—
2557	C₂	—	212	2	no	—
2558	C₂	—	212	4	no	—
2559	C₂	—	212	4	no	—
2560	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2561	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2562	C₂	#585×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3558	C₂
hypercenter	#3558	D₅₃
hypocenter	C₅₃	C₂×#3558
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3558

Complements

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

N	H ≅ G/N	type
1. #20289238	C₂	semidirect
2. #20289237	C₂	semidirect
3. #20289236	C₂	semidirect
4. #20289235	C₂	semidirect
5. #20289234	C₂	semidirect
6. #20289233	C₂	semidirect
7. #20289232	C₂	semidirect
8. #20289231	C₂	semidirect
9. #20289230	C₂	semidirect
10. #20289229	C₂	semidirect
11. #20289228	C₂	semidirect
12. #20289227	C₂	semidirect
13. #20289226	C₂	semidirect
14. #20289225	C₂	semidirect
15. #20289224	C₂	semidirect
16. #562×D₅₃	C₂	semidirect
17. H(3,𝔽₄)×D₅₃	C₂	semidirect
18. #559×D₅₃	C₂	semidirect
19. #548×D₅₃	C₂	semidirect
20. #546×D₅₃	C₂	semidirect
21. #546×D₅₃	C₂	semidirect
22. D₄²×D₅₃	C₂	semidirect
23. #542×D₅₃	C₂	semidirect
24. #538×D₅₃	C₂	semidirect
25. #538×D₅₃	C₂	semidirect
26. #535×D₅₃	C₂	semidirect
27. #534×D₅₃	C₂	semidirect
28. #532×D₅₃	C₂	semidirect
29. #529×D₅₃	C₂	semidirect
30. C₂×#124×D₅₃	C₂	semidirect
31. C₅₃×#3558	C₂	semidirect
32. C₂×#41×D₅₃	C₂²	semidirect
33. C₂×#41×D₅₃	C₂²	semidirect
34. C₂²×Q₈×D₅₃	C₂²	semidirect
36. C₂²×D₄×D₅₃	C₂²	semidirect
37. C₂²×D₄×D₅₃	C₂²	semidirect
38. #16811371	C₂²	semidirect
39. #16811370	C₂²	semidirect
40. #16811370	C₂²	semidirect
41. #16811369	C₂²	semidirect
42. #16811369	C₂²	semidirect
43. #16811368	C₂²	semidirect
44. #16811368	C₂²	semidirect
45. #16811367	C₂²	semidirect
46. #16811367	C₂²	semidirect
47. #16811366	C₂²	semidirect
48. #16811366	C₂²	semidirect
49. #16811366	C₂²	semidirect
50. #16811365	C₂²	semidirect
51. #16811365	C₂²	semidirect
52. #16811365	C₂²	semidirect
53. #16811365	C₂²	semidirect
54. #16811365	C₂²	semidirect
55. #16811365	C₂²	semidirect
56. #16811359	C₂²	semidirect
57. #16811358	C₂²	semidirect
58. #16811358	C₂²	semidirect
59. #16811357	C₂²	semidirect
60. #16811357	C₂²	semidirect
61. #16811356	C₂²	semidirect
62. #16811356	C₂²	semidirect
63. #16811356	C₂²	semidirect
64. #16811355	C₂²	semidirect
65. #16811355	C₂²	semidirect
66. #16811355	C₂²	semidirect
67. #16811285	C₂²	semidirect
68. #16811284	C₂²	semidirect
69. #16811283	C₂²	semidirect
70. #16811283	C₂²	semidirect
71. #16811282	C₂²	semidirect
72. #16811282	C₂²	semidirect
73. #16811281	C₂²	semidirect
74. #16811281	C₂²	semidirect
75. #16811280	C₂²	semidirect
76. #16811279	C₂²	semidirect
77. #16811279	C₂²	semidirect
78. #16811270	C₂²	semidirect
79. #16811270	C₂²	semidirect
80. #16811269	C₂²	semidirect
81. #16811269	C₂²	semidirect
82. #16811268	C₂²	semidirect
83. #16811268	C₂²	semidirect
84. #16811267	C₂²	semidirect
85. #16811267	C₂²	semidirect
86. #16811266	C₂²	semidirect
87. #16811266	C₂²	semidirect
88. #16811265	C₂²	semidirect
89. #16811265	C₂²	semidirect
90. #16811265	C₂²	semidirect
91. #16811264	C₂²	semidirect
92. #16811264	C₂²	semidirect
93. #16811263	C₂²	semidirect
94. #16811263	C₂²	semidirect
95. #16811263	C₂²	semidirect
96. #16811262	C₂²	semidirect
97. #16811262	C₂²	semidirect
98. #16811262	C₂²	semidirect
99. #16811261	C₂²	semidirect
100. #16811261	C₂²	semidirect
101. #16811260	C₂²	semidirect
102. #16811260	C₂²	semidirect
103. #16811260	C₂²	semidirect
104. D₄×D₂₁₂	C₂²	semidirect
105. D₄×D₂₁₂	C₂²	semidirect
106. #16811258	C₂²	semidirect
107. #16811257	C₂²	semidirect
108. #16811257	C₂²	semidirect
109. #16811257	C₂²	semidirect
110. D₄×C₂²⋊D₅₃	C₂²	semidirect
111. D₄×C₂²⋊D₅₃	C₂²	semidirect
112. D₄×C₂²⋊D₅₃	C₂²	semidirect
113. #16811255	C₂²	semidirect
114. #16811255	C₂²	semidirect
115. #16811247	C₂²	semidirect
116. #16811246	C₂²	semidirect
117. #16811245	C₂²	semidirect
118. #16811244	C₂²	semidirect
119. #16811243	C₂²	semidirect
120. #16811242	C₂²	semidirect
121. #16811241	C₂²	semidirect
122. #16811240	C₂²	semidirect
123. #16811239	C₂²	semidirect
124. #16811238	C₂²	semidirect
125. #16811237	C₂²	semidirect
126. #16811213	C₂²	semidirect
127. #16811213	C₂²	semidirect
128. #16811212	C₂²	semidirect
129. #16811212	C₂²	semidirect
130. #16811212	C₂²	semidirect
131. #16811211	C₂²	semidirect
132. #16811211	C₂²	semidirect
133. #16811210	C₂²	semidirect
134. #16811210	C₂²	semidirect
135. #16811209	C₂²	semidirect
136. #16811209	C₂²	semidirect
137. #16811209	C₂²	semidirect
138. #16811208	C₂²	semidirect
139. #16811208	C₂²	semidirect
140. #16811208	C₂²	semidirect
141. #16811207	C₂²	semidirect
142. #16811207	C₂²	semidirect
143. #16811207	C₂²	semidirect
144. #16811206	C₂²	semidirect
145. #16811206	C₂²	semidirect
146. #16811206	C₂²	semidirect
147. #16811205	C₂²	semidirect
148. #16811205	C₂²	semidirect
149. #16811205	C₂²	semidirect
150. #16811192	C₂²	semidirect
151. #16811191	C₂²	semidirect
152. #16811191	C₂²	semidirect
153. #16811190	C₂²	semidirect
154. #16811189	C₂²	semidirect
155. #16811189	C₂²	semidirect
156. #16811188	C₂²	semidirect
157. #16811188	C₂²	semidirect
158. #16811187	C₂²	semidirect
159. #16811186	C₂²	semidirect
160. #16811186	C₂²	semidirect
161. #16811185	C₂²	semidirect
162. #16811184	C₂²	semidirect
163. #16811184	C₂²	semidirect
164. #16811183	C₂²	semidirect
165. #16811183	C₂²	semidirect
166. #16811182	C₂²	semidirect
167. #16811181	C₂²	semidirect
168. #16811181	C₂²	semidirect
169. #16811181	C₂²	semidirect
170. #16811174	C₂²	semidirect
171. #16811173	C₂²	semidirect
172. #16811172	C₂²	semidirect
173. #16811171	C₂²	semidirect
174. #16811170	C₂²	semidirect
175. #16811170	C₂²	semidirect
176. #16811169	C₂²	semidirect
177. #16811168	C₂²	semidirect
178. #16811168	C₂²	semidirect
179. C₄⋊Q₈×D₅₃	C₂²	semidirect
181. #127×D₅₃	C₂²	semidirect
182. #16811160	C₂²	semidirect
183. #16811159	C₂²	semidirect
184. #16811158	C₂²	semidirect
185. #16811157	C₂²	semidirect
186. #16811156	C₂²	semidirect
187. #16811155	C₂²	semidirect
188. #16811154	C₂²	semidirect
189. #16811153	C₂²	semidirect
190. #16811152	C₂²	semidirect
191. #16811151	C₂²	semidirect
192. #16811150	C₂²	semidirect
193. #126×D₅₃	C₂²	semidirect
194. #126×D₅₃	C₂²	semidirect
195. #125×D₅₃	C₂²	semidirect
196. C₂×#13133206	C₂²	semidirect
197. C₂×#13133205	C₂²	semidirect
198. C₂×#13133204	C₂²	semidirect
199. C₂×#13133203	C₂²	semidirect
200. C₂×#13133203	C₂²	semidirect
201. #124×D₅₃	C₂²	semidirect
202. #124×D₅₃	C₂²	semidirect
203. #124×D₅₃	C₂²	semidirect
204. #124×D₅₃	C₂²	semidirect
205. #124×D₅₃	C₂²	semidirect
206. #124×D₅₃	C₂²	semidirect
207. #124×D₅₃	C₂²	semidirect
208. #124×D₅₃	C₂²	semidirect
209. #124×D₅₃	C₂²	semidirect
210. #124×D₅₃	C₂²	semidirect
211. #124×D₅₃	C₂²	semidirect
212. #124×D₅₃	C₂²	semidirect
213. #124×D₅₃	C₂²	semidirect
214. #124×D₅₃	C₂²	semidirect
215. #123×D₅₃	C₂²	semidirect
216. #123×D₅₃	C₂²	semidirect
217. #123×D₅₃	C₂²	semidirect
218. #123×D₅₃	C₂²	semidirect
219. #123×D₅₃	C₂²	semidirect
220. C₂²⋊Q₈×D₅₃	C₂²	semidirect
221. C₂²⋊Q₈×D₅₃	C₂²	semidirect
222. C₂²⋊Q₈×D₅₃	C₂²	semidirect
223. C₂²⋊Q₈×D₅₃	C₂²	semidirect
226. #121×D₅₃	C₂²	semidirect
227. #121×D₅₃	C₂²	semidirect
228. #121×D₅₃	C₂²	semidirect
229. #121×D₅₃	C₂²	semidirect
230. #121×D₅₃	C₂²	semidirect
231. #121×D₅₃	C₂²	semidirect
232. #121×D₅₃	C₂²	semidirect
233. #120×D₅₃	C₂²	semidirect
234. #120×D₅₃	C₂²	semidirect
235. #120×D₅₃	C₂²	semidirect
236. #120×D₅₃	C₂²	semidirect
237. #120×D₅₃	C₂²	semidirect
238. C₄×Q₈×D₅₃	C₂²	semidirect
239. C₄×Q₈×D₅₃	C₂²	semidirect
240. C₄×D₄×D₅₃	C₂²	semidirect
241. C₄×D₄×D₅₃	C₂²	semidirect
242. C₄×D₄×D₅₃	C₂²	semidirect
243. C₄×D₄×D₅₃	C₂²	semidirect
244. C₄×D₄×D₅₃	C₂²	semidirect
245. C₄×D₄×D₅₃	C₂²	semidirect
246. C₄×D₄×D₅₃	C₂²	semidirect
247. #117×D₅₃	C₂²	semidirect
248. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
249. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
250. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
251. C₂×C₄²×D₅₃	C₂²	semidirect
252. C₅₃×#562	C₂²	semidirect
253. C₅₃×H(3,𝔽₄)	C₂²	semidirect
254. C₅₃×#559	C₂²	semidirect
255. C₅₃×#548	C₂²	semidirect
256. C₅₃×#546	C₂²	semidirect
257. C₅₃×#546	C₂²	semidirect
258. D₄²×C₅₃	C₂²	semidirect
259. C₅₃×#542	C₂²	semidirect
260. C₅₃×#538	C₂²	semidirect
261. C₅₃×#538	C₂²	semidirect
262. C₅₃×#535	C₂²	semidirect
263. C₅₃×#534	C₂²	semidirect
264. C₅₃×#532	C₂²	semidirect
265. C₅₃×#529	C₂²	semidirect
266. C₂×#124×C₅₃	C₂²	semidirect
269. C₂×#11719949	C₂³	semidirect
270. C₂×#11719949	C₂³	semidirect
271. C₂×#11719945	C₂³	semidirect
272. C₂×#11719945	C₂³	semidirect
273. C₂×#11719945	C₂³	semidirect
274. C₂×#11719945	C₂³	semidirect
275. C₂×#11719947	C₂³	semidirect
276. C₂×#11719947	C₂³	semidirect
277. C₂×#11719947	C₂³	semidirect
278. C₂×#11719947	C₂³	semidirect
281. C₂²×Dic₁₀₆	C₂³	semidirect
282. C₂²×Dic₁₀₆	C₂³	semidirect
288. C₂×Q₈×D₅₃	C₂³	semidirect
289. C₂×Q₈×D₅₃	C₂³	semidirect
291. C₂²×D₂₁₂	C₂³	semidirect
292. C₂²×D₂₁₂	C₂³	semidirect
294. C₂²×C₂²⋊D₅₃	C₂³	semidirect
295. C₂²×C₂²⋊D₅₃	C₂³	semidirect
296. C₂²×C₂²⋊D₅₃	C₂³	semidirect
315. C₂×D₄×D₅₃	C₂³	semidirect
316. C₂×D₄×D₅₃	C₂³	semidirect
317. C₂×D₄×D₅₃	C₂³	semidirect
318. C₂×D₄×D₅₃	C₂³	semidirect
319. C₂×D₄×D₅₃	C₂³	semidirect
320. C₂×D₄×D₅₃	C₂³	semidirect
321. C₂×D₄×D₅₃	C₂³	semidirect
330. #13133217	C₂³	semidirect
331. #13133216	C₂³	semidirect
332. #13133216	C₂³	semidirect
333. #13133215	C₂³	semidirect
335. #13133214	C₂³	semidirect
340. #13133213	C₂³	semidirect
341. #13133213	C₂³	semidirect
342. #13133213	C₂³	semidirect
343. #13133212	C₂³	semidirect
344. #13133212	C₂³	semidirect
345. #13133212	C₂³	semidirect
346. #13133212	C₂³	semidirect
347. #13133212	C₂³	semidirect
348. #13133212	C₂³	semidirect
349. #13133211	C₂³	semidirect
350. #13133211	C₂³	semidirect
351. #13133210	C₂³	semidirect
352. #13133210	C₂³	semidirect
353. #13133210	C₂³	semidirect
354. #13133210	C₂³	semidirect
355. #13133210	C₂³	semidirect
356. #13133210	C₂³	semidirect
357. #13133209	C₂³	semidirect
358. #13133208	C₂³	semidirect
359. #13133208	C₂³	semidirect
360. #13133207	C₂³	semidirect
361. #13133207	C₂³	semidirect
362. #13133206	C₂³	semidirect
363. #13133206	C₂³	semidirect
364. #13133206	C₂³	semidirect
365. #13133206	C₂³	semidirect
366. #13133206	C₂³	semidirect
367. #13133206	C₂³	semidirect
368. #13133206	C₂³	semidirect
369. #13133206	C₂³	semidirect
370. #13133206	C₂³	semidirect
371. #13133206	C₂³	semidirect
372. #13133205	C₂³	semidirect
373. #13133205	C₂³	semidirect
374. #13133205	C₂³	semidirect
375. #13133205	C₂³	semidirect
376. #13133205	C₂³	semidirect
377. #13133205	C₂³	semidirect
378. #13133205	C₂³	semidirect
379. #13133205	C₂³	semidirect
380. #13133205	C₂³	semidirect
381. #13133205	C₂³	semidirect
382. #13133204	C₂³	semidirect
383. #13133204	C₂³	semidirect
384. #13133204	C₂³	semidirect
385. #13133204	C₂³	semidirect
386. #13133204	C₂³	semidirect
387. #13133204	C₂³	semidirect
388. #13133204	C₂³	semidirect
389. #13133204	C₂³	semidirect
390. #13133204	C₂³	semidirect
391. #13133204	C₂³	semidirect
392. #13133203	C₂³	semidirect
393. #13133203	C₂³	semidirect
394. #13133203	C₂³	semidirect
395. #13133203	C₂³	semidirect
396. #13133203	C₂³	semidirect
397. #13133203	C₂³	semidirect
398. #13133203	C₂³	semidirect
399. #13133203	C₂³	semidirect
400. #13133203	C₂³	semidirect
401. #13133203	C₂³	semidirect
402. #13133203	C₂³	semidirect
403. #13133203	C₂³	semidirect
404. #13133203	C₂³	semidirect
405. #13133203	C₂³	semidirect
406. #13133203	C₂³	semidirect
407. #13133203	C₂³	semidirect
408. #13133203	C₂³	semidirect
409. #13133203	C₂³	semidirect
410. #13133203	C₂³	semidirect
411. #13133203	C₂³	semidirect
412. #13133203	C₂³	semidirect
413. #13133203	C₂³	semidirect
414. #13133203	C₂³	semidirect
415. #13133203	C₂³	semidirect
416. #13133203	C₂³	semidirect
417. #13133203	C₂³	semidirect
418. #13133202	C₂³	semidirect
419. #13133202	C₂³	semidirect
420. #13133202	C₂³	semidirect
421. #13133202	C₂³	semidirect
422. #13133202	C₂³	semidirect
423. #13133202	C₂³	semidirect
424. #13133202	C₂³	semidirect
425. #13133202	C₂³	semidirect
426. #13133202	C₂³	semidirect
427. #13133202	C₂³	semidirect
428. #13133201	C₂³	semidirect
429. #13133201	C₂³	semidirect
430. #13133201	C₂³	semidirect
431. #13133201	C₂³	semidirect
432. #13133201	C₂³	semidirect
433. #13133200	C₂³	semidirect
434. #13133200	C₂³	semidirect
435. #13133200	C₂³	semidirect
436. #13133200	C₂³	semidirect
437. #13133200	C₂³	semidirect
438. #13133199	C₂³	semidirect
439. #13133199	C₂³	semidirect
440. #13133199	C₂³	semidirect
441. #13133199	C₂³	semidirect
442. #13133199	C₂³	semidirect
443. #13133199	C₂³	semidirect
444. #13133199	C₂³	semidirect
445. #13133199	C₂³	semidirect
446. #13133199	C₂³	semidirect
447. #13133199	C₂³	semidirect
448. #13133198	C₂³	semidirect
449. #13133198	C₂³	semidirect
450. #13133198	C₂³	semidirect
451. #13133198	C₂³	semidirect
452. #13133198	C₂³	semidirect
453. #13133197	C₂³	semidirect
454. #13133197	C₂³	semidirect
455. #13133197	C₂³	semidirect
456. #13133197	C₂³	semidirect
457. #13133196	C₂³	semidirect
458. #13133196	C₂³	semidirect
459. #13133196	C₂³	semidirect
460. #13133196	C₂³	semidirect
461. #13133195	C₂³	semidirect
462. #13133195	C₂³	semidirect
463. #13133195	C₂³	semidirect
464. #13133195	C₂³	semidirect
465. #13133195	C₂³	semidirect
466. #13133195	C₂³	semidirect
467. #13133194	C₂³	semidirect
468. #13133194	C₂³	semidirect
469. #13133194	C₂³	semidirect
470. #13133194	C₂³	semidirect
471. #13133194	C₂³	semidirect
472. #13133194	C₂³	semidirect
473. #13133193	C₂³	semidirect
474. #13133193	C₂³	semidirect
475. #13133193	C₂³	semidirect
476. #13133193	C₂³	semidirect
479. #13133192	C₂³	semidirect
480. #13133192	C₂³	semidirect
481. #13133192	C₂³	semidirect
482. #13133192	C₂³	semidirect
483. #13133192	C₂³	semidirect
484. #13133192	C₂³	semidirect
485. #13133192	C₂³	semidirect
488. #13133191	C₂³	semidirect
489. #13133191	C₂³	semidirect
490. #13133191	C₂³	semidirect
491. #13133191	C₂³	semidirect
492. #13133191	C₂³	semidirect
493. #13133191	C₂³	semidirect
494. #13133191	C₂³	semidirect
497. #13133190	C₂³	semidirect
498. #13133190	C₂³	semidirect
499. #13133190	C₂³	semidirect
500. #13133190	C₂³	semidirect
501. #13133190	C₂³	semidirect
502. #13133190	C₂³	semidirect
503. #13133190	C₂³	semidirect
504. #13133190	C₂³	semidirect
505. #13133190	C₂³	semidirect
506. #13133190	C₂³	semidirect
507. #13133190	C₂³	semidirect
508. #13133190	C₂³	semidirect
511. #13133189	C₂³	semidirect
512. #13133189	C₂³	semidirect
513. #13133189	C₂³	semidirect
514. #13133189	C₂³	semidirect
515. #13133189	C₂³	semidirect
516. #13133189	C₂³	semidirect
517. #13133189	C₂³	semidirect
518. #13133189	C₂³	semidirect
519. #13133189	C₂³	semidirect
520. #13133189	C₂³	semidirect
521. #13133189	C₂³	semidirect
522. #13133189	C₂³	semidirect
525. #13133188	C₂³	semidirect
526. #13133188	C₂³	semidirect
527. #13133188	C₂³	semidirect
528. #13133188	C₂³	semidirect
529. #13133188	C₂³	semidirect
530. #13133188	C₂³	semidirect
531. #13133188	C₂³	semidirect
532. #13133187	C₂³	semidirect
533. #13133187	C₂³	semidirect
534. #13133187	C₂³	semidirect
535. #13133187	C₂³	semidirect
536. #13133187	C₂³	semidirect
537. #13133187	C₂³	semidirect
538. #13133187	C₂³	semidirect
539. #13133187	C₂³	semidirect
540. #13133187	C₂³	semidirect
541. #13133187	C₂³	semidirect
542. #13133187	C₂³	semidirect
543. #13133187	C₂³	semidirect
544. #13133187	C₂³	semidirect
545. #13133187	C₂³	semidirect
546. #13133187	C₂³	semidirect
547. #13133186	C₂³	semidirect
548. #13133186	C₂³	semidirect
549. #13133186	C₂³	semidirect
550. #13133186	C₂³	semidirect
551. #13133186	C₂³	semidirect
552. #13133185	C₂³	semidirect
553. #13133185	C₂³	semidirect
554. #13133185	C₂³	semidirect
555. #13133185	C₂³	semidirect
556. #13133185	C₂³	semidirect
557. #13133185	C₂³	semidirect
558. #13133185	C₂³	semidirect
559. #13133185	C₂³	semidirect
560. #13133185	C₂³	semidirect
561. #13133185	C₂³	semidirect
562. #13133185	C₂³	semidirect
563. #13133185	C₂³	semidirect
564. #13133185	C₂³	semidirect
565. #13133185	C₂³	semidirect
566. #13133185	C₂³	semidirect
567. Q₈×Dic₅₃	C₂³	semidirect
568. Q₈×Dic₅₃	C₂³	semidirect
569. C₄×Dic₁₀₆	C₂³	semidirect
570. C₄×Dic₁₀₆	C₂³	semidirect
571. C₄×Dic₁₀₆	C₂³	semidirect
572. C₄×Dic₁₀₆	C₂³	semidirect
573. #13133182	C₂³	semidirect
574. #13133182	C₂³	semidirect
575. #13133182	C₂³	semidirect
576. #13133182	C₂³	semidirect
577. C₄×D₂₁₂	C₂³	semidirect
578. C₄×D₂₁₂	C₂³	semidirect
579. C₄×D₂₁₂	C₂³	semidirect
580. C₄×D₂₁₂	C₂³	semidirect
581. C₄×D₂₁₂	C₂³	semidirect
582. C₄×D₂₁₂	C₂³	semidirect
583. C₄×D₂₁₂	C₂³	semidirect
584. D₄×Dic₅₃	C₂³	semidirect
585. D₄×Dic₅₃	C₂³	semidirect
586. D₄×Dic₅₃	C₂³	semidirect
587. D₄×Dic₅₃	C₂³	semidirect
588. D₄×Dic₅₃	C₂³	semidirect
589. D₄×Dic₅₃	C₂³	semidirect
590. D₄×Dic₅₃	C₂³	semidirect
591. #13133179	C₂³	semidirect
592. #13133179	C₂³	semidirect
593. #13133179	C₂³	semidirect
594. #13133179	C₂³	semidirect
595. #13133179	C₂³	semidirect
596. #13133179	C₂³	semidirect
597. #13133179	C₂³	semidirect
598. C₄×C₂²⋊D₅₃	C₂³	semidirect
599. C₄×C₂²⋊D₅₃	C₂³	semidirect
600. C₄×C₂²⋊D₅₃	C₂³	semidirect
601. C₄×C₂²⋊D₅₃	C₂³	semidirect
602. C₄×C₂²⋊D₅₃	C₂³	semidirect
603. C₄×C₂²⋊D₅₃	C₂³	semidirect
604. C₄×C₂²⋊D₅₃	C₂³	semidirect
605. C₄×C₂²⋊D₅₃	C₂³	semidirect
606. C₄×C₂²⋊D₅₃	C₂³	semidirect
607. C₄×C₂²⋊D₅₃	C₂³	semidirect
608. #13133177	C₂³	semidirect
609. #13133177	C₂³	semidirect
610. #13133177	C₂³	semidirect
611. #13133177	C₂³	semidirect
612. #13133177	C₂³	semidirect
613. #13133177	C₂³	semidirect
614. #13133177	C₂³	semidirect
615. #13133177	C₂³	semidirect
616. #13133177	C₂³	semidirect
617. #13133177	C₂³	semidirect
618. #13133176	C₂³	semidirect
619. #13133175	C₂³	semidirect
620. #13133175	C₂³	semidirect
621. #13133174	C₂³	semidirect
622. #13133174	C₂³	semidirect
623. #13133173	C₂³	semidirect
624. #13133173	C₂³	semidirect
635. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
636. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
637. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
638. C₂×#11719921	C₂³	semidirect
639. C₂×#11719921	C₂³	semidirect
640. C₂×#11719921	C₂³	semidirect
641. C₂×#11719921	C₂³	semidirect
642. C₂×#11719921	C₂³	semidirect
643. C₂×#11719921	C₂³	semidirect
660. C₂²⋊C₄×D₅₃	C₂³	semidirect
661. C₂²⋊C₄×D₅₃	C₂³	semidirect
662. C₂²⋊C₄×D₅₃	C₂³	semidirect
663. C₂²⋊C₄×D₅₃	C₂³	semidirect
664. C₂²⋊C₄×D₅₃	C₂³	semidirect
665. C₂²⋊C₄×D₅₃	C₂³	semidirect
666. C₂²⋊C₄×D₅₃	C₂³	semidirect
667. C₂²⋊C₄×D₅₃	C₂³	semidirect
668. C₂×C₄×Dic₅₃	C₂³	semidirect
669. C₂×C₄×Dic₅₃	C₂³	semidirect
670. C₂×C₄×Dic₅₃	C₂³	semidirect
677. C₄²×D₅₃	C₂³	semidirect
678. C₄²×D₅₃	C₂³	semidirect
679. C₄²×D₅₃	C₂³	semidirect
680. C₄²×D₅₃	C₂³	semidirect
681. C₂×#41×C₅₃	C₂³	semidirect
682. C₂×#41×C₅₃	C₂³	semidirect
683. C₂²×Q₈×C₅₃	C₂³	semidirect
685. C₂²×D₄×C₅₃	C₂³	semidirect
686. C₂²×D₄×C₅₃	C₂³	semidirect
687. C₄⋊Q₈×C₅₃	C₂³	semidirect
689. #127×C₅₃	C₂³	semidirect
690. #126×C₅₃	C₂³	semidirect
691. #126×C₅₃	C₂³	semidirect
692. #125×C₅₃	C₂³	semidirect
693. #124×C₅₃	C₂³	semidirect
694. #124×C₅₃	C₂³	semidirect
695. #124×C₅₃	C₂³	semidirect
696. #124×C₅₃	C₂³	semidirect
697. #124×C₅₃	C₂³	semidirect
698. #124×C₅₃	C₂³	semidirect
699. #124×C₅₃	C₂³	semidirect
700. #124×C₅₃	C₂³	semidirect
701. #124×C₅₃	C₂³	semidirect
702. #124×C₅₃	C₂³	semidirect
703. #123×C₅₃	C₂³	semidirect
704. #123×C₅₃	C₂³	semidirect
705. #123×C₅₃	C₂³	semidirect
706. #123×C₅₃	C₂³	semidirect
707. #123×C₅₃	C₂³	semidirect
708. C₂²⋊Q₈×C₅₃	C₂³	semidirect
709. C₂²⋊Q₈×C₅₃	C₂³	semidirect
710. C₂²⋊Q₈×C₅₃	C₂³	semidirect
711. C₂²⋊Q₈×C₅₃	C₂³	semidirect
714. #121×C₅₃	C₂³	semidirect
715. #121×C₅₃	C₂³	semidirect
716. #121×C₅₃	C₂³	semidirect
717. #121×C₅₃	C₂³	semidirect
718. #121×C₅₃	C₂³	semidirect
719. #121×C₅₃	C₂³	semidirect
720. #121×C₅₃	C₂³	semidirect
721. #120×C₅₃	C₂³	semidirect
722. #120×C₅₃	C₂³	semidirect
723. #120×C₅₃	C₂³	semidirect
724. #120×C₅₃	C₂³	semidirect
725. #120×C₅₃	C₂³	semidirect
726. C₄×Q₈×C₅₃	C₂³	semidirect
727. C₄×Q₈×C₅₃	C₂³	semidirect
728. C₄×D₄×C₅₃	C₂³	semidirect
729. C₄×D₄×C₅₃	C₂³	semidirect
730. C₄×D₄×C₅₃	C₂³	semidirect
731. C₄×D₄×C₅₃	C₂³	semidirect
732. C₄×D₄×C₅₃	C₂³	semidirect
733. C₄×D₄×C₅₃	C₂³	semidirect
734. C₄×D₄×C₅₃	C₂³	semidirect
735. #117×C₅₃	C₂³	semidirect
736. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
737. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
738. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
739. C₂×C₄²×C₅₃	C₂³	semidirect
1285. #3558	D₅₃	direct (N × H)
1312. D₅₃	#3558	direct (N × H)
1328. #562	C₂×D₅₃	semidirect
1338. H(3,𝔽₄)	C₂×D₅₃	semidirect
1350. #559	C₂×D₅₃	semidirect
1362. #548	C₂×D₅₃	semidirect
1389. #546	C₂×D₅₃	semidirect
1390. #546	C₂×D₅₃	semidirect
1402. D₄²	C₂×D₅₃	semidirect
1414. #542	C₂×D₅₃	semidirect
1439. #538	C₂×D₅₃	semidirect
1440. #538	C₂×D₅₃	semidirect
1452. #535	C₂×D₅₃	semidirect
1462. #534	C₂×D₅₃	semidirect
1472. #532	C₂×D₅₃	semidirect
1487. #529	C₂×D₅₃	semidirect
1510. C₂×#124	C₂×D₅₃	semidirect
1548. C₅₃	C₂×#3558	semidirect
1563. C₂×#41	C₂²×D₅₃	semidirect
1564. C₂×#41	C₂²×D₅₃	semidirect
1574. C₂²×Q₈	C₂²×D₅₃	semidirect
1608. C₂²×D₄	C₂²×D₅₃	semidirect
1609. C₂²×D₄	C₂²×D₅₃	semidirect
1622. C₄⋊Q₈	C₂²×D₅₃	semidirect
1633. #127	C₂²×D₅₃	semidirect
1648. #126	C₂²×D₅₃	semidirect
1649. #126	C₂²×D₅₃	semidirect
1655. #125	C₂²×D₅₃	semidirect
1712. #124	C₂²×D₅₃	semidirect
1713. #124	C₂²×D₅₃	semidirect
1714. #124	C₂²×D₅₃	semidirect
1715. #124	C₂²×D₅₃	semidirect
1716. #124	C₂²×D₅₃	semidirect
1717. #124	C₂²×D₅₃	semidirect
1718. #124	C₂²×D₅₃	semidirect
1719. #124	C₂²×D₅₃	semidirect
1720. #124	C₂²×D₅₃	semidirect
1721. #124	C₂²×D₅₃	semidirect
1757. #123	C₂²×D₅₃	semidirect
1758. #123	C₂²×D₅₃	semidirect
1759. #123	C₂²×D₅₃	semidirect
1760. #123	C₂²×D₅₃	semidirect
1761. #123	C₂²×D₅₃	semidirect
1786. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1787. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1788. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1789. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1847. #121	C₂²×D₅₃	semidirect
1848. #121	C₂²×D₅₃	semidirect
1849. #121	C₂²×D₅₃	semidirect
1850. #121	C₂²×D₅₃	semidirect
1851. #121	C₂²×D₅₃	semidirect
1852. #121	C₂²×D₅₃	semidirect
1853. #121	C₂²×D₅₃	semidirect
1889. #120	C₂²×D₅₃	semidirect
1890. #120	C₂²×D₅₃	semidirect
1891. #120	C₂²×D₅₃	semidirect
1892. #120	C₂²×D₅₃	semidirect
1893. #120	C₂²×D₅₃	semidirect
1904. C₄×Q₈	C₂²×D₅₃	semidirect
1905. C₄×Q₈	C₂²×D₅₃	semidirect
1947. C₄×D₄	C₂²×D₅₃	semidirect
1948. C₄×D₄	C₂²×D₅₃	semidirect
1949. C₄×D₄	C₂²×D₅₃	semidirect
1950. C₄×D₄	C₂²×D₅₃	semidirect
1951. C₄×D₄	C₂²×D₅₃	semidirect
1952. C₄×D₄	C₂²×D₅₃	semidirect
1953. C₄×D₄	C₂²×D₅₃	semidirect
1961. #117	C₂²×D₅₃	semidirect
2005. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2006. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2007. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2021. 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
#20289238	2
#20289237	2
#20289236	2
#20289235	2
#20289234	2
#20289233	2
#20289232	2
#20289231	2
#20289230	2
#20289229	2
#20289228	2
#20289227	2
#20289226	2
#20289225	2
#20289224	2
#562×D₅₃	2
H(3,𝔽₄)×D₅₃	2
#559×D₅₃	2
#548×D₅₃	2
#546×D₅₃	2
D₄²×D₅₃	2
#542×D₅₃	2
#538×D₅₃	2
#535×D₅₃	2
#534×D₅₃	2
#532×D₅₃	2
#529×D₅₃	2
C₂×#124×D₅₃	2
C₅₃×#3558	2
C₂×#3558	53

Subgroups — D53×#3558 #28291414

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3558 #28291414