Subgroups — D₅₃×#3475 #28291115

Order 13568.

7954 conjugacy classes of subgroups.

The subgroup lattice has 2726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288282	C₂	1	1	yes	maximal, characteristic, complemented
2	#20288281	C₂	1	1	yes	maximal, characteristic, complemented
3	#20288280	C₂	1	2	yes	maximal, complemented
4	#20288279	C₂	1	1	yes	maximal, characteristic, complemented
5	#20288278	C₂	1	1	yes	maximal, characteristic, complemented
6	#20288277	C₂	1	2	yes	maximal, complemented
7	#20288276	C₂	1	1	yes	maximal, characteristic, complemented
8	#20288275	C₂	1	2	yes	maximal, complemented
9	#20288274	C₂	1	2	yes	maximal, complemented
10	#20288273	C₂	1	1	yes	maximal, characteristic, complemented
11	#20288272	C₂	1	1	yes	maximal, characteristic, complemented
12	#20288271	C₂	1	2	yes	maximal, complemented
13	#20288270	C₂	1	4	yes	maximal, complemented
14	#20288269	C₂	1	2	yes	maximal, complemented
15	#20288268	C₂	1	2	yes	maximal, complemented
16	#20288267	C₂	1	4	yes	maximal, complemented
17	#20288266	C₂	1	2	yes	maximal, complemented
18	#556×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#555×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
20	#554×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
21	#553×D₅₃	C₂	1	2	yes	maximal, complemented
22	#552×D₅₃	C₂	1	2	yes	maximal, complemented
23	#552×D₅₃	C₂	1	2	yes	maximal, complemented
24	#551×D₅₃	C₂	1	4	yes	maximal, complemented
25	#547×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
26	#546×D₅₃	C₂	1	2	yes	maximal, complemented
27	#533×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
28	#529×D₅₃	C₂	1	4	yes	maximal, complemented
29	#529×D₅₃	C₂	1	2	yes	maximal, complemented
30	#525×D₅₃	C₂	1	2	yes	maximal, complemented
31	C₄×#41×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₄×#41×D₅₃	C₂	1	2	yes	maximal, complemented
33	C₂×C₄×D₄×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
34	C₂×#117×D₅₃	C₂	1	2	yes	maximal, complemented
35	C₅₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂×#41×D₅₃	C₂²	1	2	yes	—
37	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic
38	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
39	C₂³×C₄×D₅₃	C₂²	1	2	yes	—
40	#16811347	C₂²	1	1	yes	characteristic, complemented
41	#16811346	C₂²	1	1	yes	characteristic, complemented
42	#16811345	C₂²	1	2	yes	complemented
43	#16811344	C₂²	1	2	yes	complemented
44	#16811343	C₂²	1	1	yes	characteristic, complemented
45	#16811342	C₂²	1	2	yes	complemented
46	#16811341	C₂²	1	2	yes	complemented
47	#16811340	C₂²	1	4	yes	complemented
48	#16811339	C₂²	1	1	yes	characteristic, complemented
49	#16811338	C₂²	1	1	yes	characteristic, complemented
50	#16811338	C₂²	1	1	yes	characteristic, complemented
51	#16811337	C₂²	1	2	yes	complemented
52	#16811337	C₂²	1	2	yes	complemented
53	#16811336	C₂²	1	2	yes	complemented
54	#16811336	C₂²	1	2	yes	complemented
55	#16811335	C₂²	1	4	yes	complemented
56	#16811334	C₂²	1	1	yes	characteristic, complemented
57	#16811333	C₂²	1	1	yes	characteristic, complemented
58	#16811332	C₂²	1	2	yes	complemented
59	#16811331	C₂²	1	2	yes	complemented
60	#16811330	C₂²	1	1	yes	characteristic, complemented
61	#16811329	C₂²	1	2	yes	complemented
62	#16811328	C₂²	1	2	yes	complemented
63	#16811327	C₂²	1	4	yes	complemented
64	#16811326	C₂²	1	2	yes	complemented
65	#16811325	C₂²	1	2	yes	complemented
66	#16811324	C₂²	1	4	yes	complemented
67	#16811323	C₂²	1	2	yes	complemented
68	#16811322	C₂²	1	4	yes	complemented
69	#16811321	C₂²	1	2	yes	complemented
70	#16811320	C₂²	1	2	yes	complemented
71	#16811319	C₂²	1	2	yes	complemented
72	#16811318	C₂²	1	4	yes	complemented
73	#16811317	C₂²	1	2	yes	complemented
74	#16811316	C₂²	1	4	yes	complemented
75	#16811315	C₂²	1	2	yes	complemented
76	#16811315	C₂²	1	2	yes	complemented
77	#16811314	C₂²	1	2	yes	complemented
78	#16811314	C₂²	1	2	yes	complemented
79	#16811313	C₂²	1	2	yes	complemented
80	#16811313	C₂²	1	2	yes	complemented
81	#16811312	C₂²	1	2	yes	complemented
82	#16811312	C₂²	1	2	yes	complemented
83	#16811311	C₂²	1	2	yes	complemented
84	#16811311	C₂²	1	2	yes	complemented
85	#16811310	C₂²	1	4	yes	complemented
86	#16811310	C₂²	1	4	yes	complemented
87	#16811309	C₂²	1	4	yes	complemented
88	#16811309	C₂²	1	4	yes	complemented
89	#16811308	C₂²	1	2	yes	complemented
90	#16811308	C₂²	1	2	yes	complemented
91	#16811307	C₂²	1	2	yes	complemented
92	#16811307	C₂²	1	2	yes	complemented
93	#16811306	C₂²	1	4	yes	complemented
94	#16811306	C₂²	1	4	yes	complemented
95	#16811305	C₂²	1	4	yes	complemented
96	#16811305	C₂²	1	4	yes	complemented
97	#16811304	C₂²	1	4	yes	complemented
98	#16811303	C₂²	1	4	yes	complemented
99	#16811302	C₂²	1	4	yes	complemented
100	#16811302	C₂²	1	4	yes	complemented
101	#16811301	C₂²	1	4	yes	complemented
102	#16811300	C₂²	1	4	yes	complemented
103	#16811300	C₂²	1	4	yes	complemented
104	#16811299	C₂²	1	4	yes	complemented
105	#16811299	C₂²	1	4	yes	complemented
106	#16811298	C₂²	1	4	yes	complemented
107	#16811298	C₂²	1	4	yes	complemented
108	#16811297	C₂²	1	4	yes	complemented
109	#16811297	C₂²	1	4	yes	complemented
110	#16811296	C₂²	1	4	yes	complemented
111	#16811296	C₂²	1	4	yes	complemented
112	#16811278	C₂²	1	1	yes	characteristic, complemented
113	#16811277	C₂²	1	1	yes	characteristic, complemented
114	#16811276	C₂²	1	1	yes	characteristic, complemented
115	#16811275	C₂²	1	2	yes	complemented
116	#16811274	C₂²	1	2	yes	complemented
117	#16811273	C₂²	1	2	yes	complemented
118	#16811272	C₂²	1	2	yes	complemented
119	#16811271	C₂²	1	4	yes	complemented
120	#16811270	C₂²	1	2	yes	complemented
121	#16811269	C₂²	1	2	yes	complemented
122	#16811268	C₂²	1	2	yes	complemented
123	#16811267	C₂²	1	2	yes	complemented
124	#16811266	C₂²	1	2	yes	complemented
125	#16811265	C₂²	1	4	yes	complemented
126	#16811264	C₂²	1	2	yes	complemented
127	#16811263	C₂²	1	4	yes	complemented
128	#16811262	C₂²	1	4	yes	complemented
129	#16811261	C₂²	1	2	yes	complemented
130	#16811260	C₂²	1	4	yes	complemented
131	#16811180	C₂²	1	1	yes	characteristic, complemented
132	#16811179	C₂²	1	2	yes	complemented
133	#16811178	C₂²	1	1	yes	characteristic, complemented
134	#16811178	C₂²	1	1	yes	characteristic, complemented
135	#16811177	C₂²	1	2	yes	complemented
136	#16811177	C₂²	1	2	yes	complemented
137	#16811176	C₂²	1	2	yes	complemented
138	#16811175	C₂²	1	2	yes	complemented
139	#16811175	C₂²	1	2	yes	complemented
140	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
141	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
142	#16811160	C₂²	1	4	yes	complemented
143	#16811160	C₂²	1	2	yes	complemented
144	#16811159	C₂²	1	4	yes	complemented
145	#16811159	C₂²	1	2	yes	complemented
146	#16811158	C₂²	1	4	yes	complemented
147	#16811158	C₂²	1	2	yes	complemented
148	#16811157	C₂²	1	4	yes	complemented
149	#16811157	C₂²	1	2	yes	complemented
150	#16811156	C₂²	1	4	yes	complemented
151	#16811156	C₂²	1	4	yes	complemented
152	#16811156	C₂²	1	4	yes	complemented
153	#16811155	C₂²	1	2	yes	complemented
154	#16811155	C₂²	1	4	yes	complemented
155	#16811154	C₂²	1	4	yes	complemented
156	#16811154	C₂²	1	2	yes	complemented
157	#16811153	C₂²	1	4	yes	complemented
158	#16811153	C₂²	1	4	yes	complemented
159	#16811153	C₂²	1	4	yes	complemented
160	#16811152	C₂²	1	2	yes	complemented
161	#16811152	C₂²	1	4	yes	complemented
162	#16811151	C₂²	1	4	yes	complemented
163	#16811151	C₂²	1	4	yes	complemented
164	#16811151	C₂²	1	4	yes	complemented
165	#16811150	C₂²	1	4	yes	complemented
166	#16811150	C₂²	1	4	yes	complemented
167	#16811150	C₂²	1	4	yes	complemented
168	#126×D₅₃	C₂²	1	4	yes	complemented
169	#126×D₅₃	C₂²	1	4	yes	complemented
170	#126×D₅₃	C₂²	1	4	yes	complemented
171	#125×D₅₃	C₂²	1	2	yes	complemented
172	#125×D₅₃	C₂²	1	4	yes	complemented
173	#125×D₅₃	C₂²	1	2	yes	complemented
174	#124×D₅₃	C₂²	1	2	yes	—
175	#124×D₅₃	C₂²	1	4	yes	complemented
176	#16811136	C₂²	1	2	yes	complemented
177	#16811136	C₂²	1	2	yes	complemented
178	#16811135	C₂²	1	2	yes	complemented
179	#16811134	C₂²	1	2	yes	complemented
180	#16811133	C₂²	1	2	yes	complemented
181	#16811133	C₂²	1	2	yes	complemented
182	#16811132	C₂²	1	4	yes	complemented
183	#16811132	C₂²	1	4	yes	complemented
184	#16811131	C₂²	1	4	yes	complemented
185	#16811130	C₂²	1	2	yes	complemented
186	#16811129	C₂²	1	4	yes	complemented
187	#123×D₅₃	C₂²	1	4	yes	—
188	#123×D₅₃	C₂²	1	4	yes	—
189	#123×D₅₃	C₂²	1	4	yes	complemented
190	#123×D₅₃	C₂²	1	4	yes	complemented
191	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	—
192	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	—
193	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
194	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
195	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
196	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
197	#121×D₅₃	C₂²	1	4	yes	—
198	#121×D₅₃	C₂²	1	2	yes	—
199	#121×D₅₃	C₂²	1	2	yes	complemented
200	#121×D₅₃	C₂²	1	2	yes	complemented
201	#120×D₅₃	C₂²	1	4	yes	—
202	#41×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
203	#41×Dic₅₃	C₂²	1	2	yes	complemented
204	C₄×#11719949	C₂²	1	1	yes	characteristic, complemented
205	C₄×#11719949	C₂²	1	1	yes	characteristic, complemented
206	C₄×#11719949	C₂²	1	2	yes	complemented
207	C₄×#11719949	C₂²	1	2	yes	complemented
208	C₄×#11719945	C₂²	1	1	yes	characteristic, complemented
209	C₄×#11719945	C₂²	1	2	yes	complemented
210	C₄×#11719945	C₂²	1	4	yes	complemented
211	C₄×#11719945	C₂²	1	2	yes	complemented
212	#16811091	C₂²	1	1	yes	characteristic, complemented
213	#16811091	C₂²	1	2	yes	complemented
214	#16811091	C₂²	1	4	yes	complemented
215	#16811091	C₂²	1	2	yes	complemented
216	C₄×#11719947	C₂²	1	2	yes	complemented
217	C₄×#11719947	C₂²	1	2	yes	complemented
218	C₄×#11719947	C₂²	1	2	yes	complemented
219	C₄×#11719947	C₂²	1	2	yes	complemented
220	C₄×#11719947	C₂²	1	1	yes	characteristic, complemented
221	C₄×#11719947	C₂²	1	1	yes	characteristic, complemented
222	C₄×#11719947	C₂²	1	4	yes	complemented
223	C₄×#11719947	C₂²	1	4	yes	complemented
224	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
225	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
226	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
227	C₄×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
228	C₄×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
229	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
230	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
231	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
232	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
233	C₂×#13133177	C₂²	1	2	yes	complemented
234	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
235	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
236	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
237	C₄×D₄×D₅₃	C₂²	1	2	yes	—
238	C₄×D₄×D₅₃	C₂²	1	2	yes	—
239	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
240	C₄×D₄×D₅₃	C₂²	1	2	yes	—
241	C₄×D₄×D₅₃	C₂²	1	2	yes	—
242	C₄×D₄×D₅₃	C₂²	1	2	yes	—
243	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
244	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
245	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
246	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
247	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
248	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
249	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
250	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
251	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
252	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
253	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
254	C₂×#13133176	C₂²	1	2	yes	complemented
255	C₂×#13133175	C₂²	1	2	yes	complemented
256	C₂×#13133175	C₂²	1	2	yes	complemented
257	C₂×#13133174	C₂²	1	4	yes	complemented
258	C₂×#13133173	C₂²	1	4	yes	complemented
259	#117×D₅₃	C₂²	1	2	yes	—
260	#117×D₅₃	C₂²	1	1	yes	characteristic
261	#117×D₅₃	C₂²	1	4	yes	—
262	#117×D₅₃	C₂²	1	2	yes	complemented
263	#117×D₅₃	C₂²	1	4	yes	complemented
264	#117×D₅₃	C₂²	1	2	yes	complemented
265	#117×D₅₃	C₂²	1	2	yes	complemented
266	#117×D₅₃	C₂²	1	2	yes	complemented
267	#117×D₅₃	C₂²	1	4	yes	complemented
268	#117×D₅₃	C₂²	1	4	yes	complemented
269	#117×D₅₃	C₂²	1	2	yes	complemented
270	#117×D₅₃	C₂²	1	2	yes	complemented
271	#117×D₅₃	C₂²	1	4	yes	complemented
272	#117×D₅₃	C₂²	1	2	yes	complemented
273	#117×D₅₃	C₂²	1	2	yes	complemented
274	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
275	C₂×C₄⋊C₄×D₅₃	C₂²	1	2	yes	complemented
276	C₂×C₄⋊C₄×D₅₃	C₂²	1	2	yes	complemented
277	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	—
278	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	—
279	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic
280	C₂×C₄²×D₅₃	C₂²	1	4	yes	complemented
281	C₂×C₄²×D₅₃	C₂²	1	2	yes	complemented
282	C₅₃×#556	C₂²	1	1	yes	characteristic, complemented
283	C₅₃×#555	C₂²	1	1	yes	characteristic, complemented
284	C₅₃×#554	C₂²	1	1	yes	characteristic, complemented
285	C₅₃×#553	C₂²	1	2	yes	complemented
286	C₅₃×#552	C₂²	1	2	yes	complemented
287	C₅₃×#552	C₂²	1	2	yes	complemented
288	C₅₃×#551	C₂²	1	4	yes	complemented
289	C₅₃×#547	C₂²	1	1	yes	characteristic, complemented
290	C₅₃×#546	C₂²	1	2	yes	complemented
291	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
292	C₅₃×#529	C₂²	1	4	yes	complemented
293	C₅₃×#529	C₂²	1	2	yes	complemented
294	C₅₃×#525	C₂²	1	2	yes	complemented
295	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
296	C₄×#41×C₅₃	C₂²	1	2	yes	complemented
297	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
298	C₂×#117×C₅₃	C₂²	1	2	yes	complemented
299	C₂⁴×D₅₃	C₂³	1	2	yes	—
300	C₂×#11719949	C₂³	1	2	yes	—
301	C₂×#11719949	C₂³	1	1	yes	characteristic
302	C₂×#11719945	C₂³	1	4	yes	—
303	C₂×#11719945	C₂³	1	2	yes	—
304	C₂×#11719945	C₂³	1	2	yes	—
305	C₂×#11719945	C₂³	1	1	yes	characteristic
306	C₂×#11719947	C₂³	1	2	yes	—
307	C₂×#11719947	C₂³	1	4	yes	—
308	C₂×#11719947	C₂³	1	2	yes	—
309	C₂×#11719947	C₂³	1	1	yes	characteristic
310	#41×D₅₃	—	2	16	no	—
311	#41×D₅₃	—	2	8	no	—
312	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
313	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
314	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
315	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
316	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
317	C₂×D₄×D₅₃	—	2	8	no	—
318	C₂×D₄×D₅₃	C₂³	1	2	yes	—
319	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
320	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
321	C₂×D₄×D₅₃	C₂³	1	2	yes	—
322	C₂×D₄×D₅₃	C₂³	1	2	yes	—
323	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
324	C₂×D₄×D₅₃	C₂³	1	4	yes	—
325	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
326	C₂×D₄×D₅₃	C₂³	1	4	yes	—
327	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
328	C₂³×Dic₅₃	C₂³	1	2	yes	—
329	C₂²×C₄×D₅₃	—	2	16	no	—
330	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
331	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
332	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
333	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
334	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
335	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
336	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
337	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
338	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
339	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
340	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
341	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
342	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
343	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
344	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
345	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
346	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
347	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
348	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
349	#13133217	C₂³	1	1	yes	characteristic, complemented
350	#13133217	C₂³	1	1	yes	characteristic, complemented
351	#13133216	C₂³	1	2	yes	complemented
352	#13133216	C₂³	1	2	yes	complemented
353	#13133216	C₂³	1	2	yes	complemented
354	#13133216	C₂³	1	2	yes	complemented
355	#13133215	C₂³	1	2	yes	complemented
356	#13133215	C₂³	1	2	yes	complemented
357	#13133212	C₂³	1	4	yes	complemented
358	#13133212	C₂³	1	4	yes	complemented
359	#13133212	C₂³	1	4	yes	complemented
360	#13133212	C₂³	1	4	yes	complemented
361	#13133212	C₂³	1	4	yes	complemented
362	#13133212	C₂³	1	4	yes	complemented
363	#13133212	C₂³	1	4	yes	complemented
364	#13133212	C₂³	1	4	yes	complemented
365	#13133212	C₂³	1	4	yes	complemented
366	#13133211	C₂³	1	4	yes	complemented
367	#13133211	C₂³	1	4	yes	complemented
368	#13133211	C₂³	1	4	yes	complemented
369	#13133210	C₂³	1	4	yes	complemented
370	#13133210	C₂³	1	4	yes	complemented
371	#13133210	C₂³	1	4	yes	complemented
372	#13133210	C₂³	1	4	yes	complemented
373	#13133210	C₂³	1	4	yes	complemented
374	#13133210	C₂³	1	4	yes	complemented
375	#13133210	C₂³	1	4	yes	complemented
376	#13133210	C₂³	1	4	yes	complemented
377	#13133210	C₂³	1	4	yes	complemented
378	#13133209	C₂³	1	4	yes	complemented
379	#13133209	C₂³	1	2	yes	complemented
380	#13133209	C₂³	1	2	yes	complemented
381	#13133208	C₂³	1	2	yes	complemented
382	#13133208	C₂³	1	2	yes	complemented
383	#13133208	C₂³	1	4	yes	complemented
384	#13133208	C₂³	1	4	yes	complemented
385	#13133208	C₂³	1	2	yes	complemented
386	#13133208	C₂³	1	2	yes	complemented
387	#13133207	C₂³	1	4	yes	complemented
388	#13133207	C₂³	1	4	yes	complemented
389	#13133207	C₂³	1	4	yes	complemented
390	#13133207	C₂³	1	4	yes	complemented
391	#13133207	C₂³	1	4	yes	complemented
392	#13133207	C₂³	1	4	yes	complemented
393	#13133207	C₂³	1	4	yes	complemented
394	#13133207	C₂³	1	4	yes	complemented
395	#13133206	C₂³	1	2	yes	—
396	#13133206	C₂³	1	4	yes	complemented
397	#13133205	C₂³	1	2	yes	—
398	#13133205	C₂³	1	4	yes	complemented
399	#13133204	C₂³	1	2	yes	—
400	#13133204	C₂³	1	4	yes	complemented
401	#13133203	C₂³	1	4	yes	—
402	#13133203	C₂³	1	4	yes	—
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	4	yes	complemented
407	#13133202	C₂³	1	4	yes	—
408	#13133202	C₂³	1	4	yes	—
409	#13133202	C₂³	1	4	yes	—
410	#13133202	C₂³	1	4	yes	—
411	#13133202	C₂³	1	4	yes	complemented
412	#13133202	C₂³	1	4	yes	complemented
413	#13133202	C₂³	1	4	yes	complemented
414	#13133202	C₂³	1	4	yes	complemented
415	#13133201	C₂³	1	4	yes	—
416	#13133201	C₂³	1	4	yes	—
417	#13133201	C₂³	1	4	yes	complemented
418	#13133201	C₂³	1	4	yes	complemented
419	#13133200	C₂³	1	4	yes	—
420	#13133200	C₂³	1	4	yes	—
421	#13133200	C₂³	1	4	yes	complemented
422	#13133200	C₂³	1	4	yes	complemented
423	#13133199	C₂³	1	4	yes	—
424	#13133199	C₂³	1	4	yes	—
425	#13133199	C₂³	1	4	yes	—
426	#13133199	C₂³	1	4	yes	—
427	#13133199	C₂³	1	4	yes	complemented
428	#13133199	C₂³	1	4	yes	complemented
429	#13133199	C₂³	1	4	yes	complemented
430	#13133199	C₂³	1	4	yes	complemented
431	#13133198	C₂³	1	4	yes	—
432	#13133198	C₂³	1	4	yes	—
433	#13133198	C₂³	1	4	yes	complemented
434	#13133198	C₂³	1	4	yes	complemented
435	#13133197	C₂³	1	2	yes	—
436	#13133197	C₂³	1	2	yes	—
437	#13133197	C₂³	1	2	yes	complemented
438	#13133197	C₂³	1	4	yes	complemented
439	#13133197	C₂³	1	2	yes	complemented
440	#13133197	C₂³	1	2	yes	complemented
441	#13133196	C₂³	1	2	yes	—
442	#13133196	C₂³	1	2	yes	—
443	#13133196	C₂³	1	2	yes	complemented
444	#13133196	C₂³	1	4	yes	complemented
445	#13133196	C₂³	1	2	yes	complemented
446	#13133196	C₂³	1	2	yes	complemented
447	#13133195	C₂³	1	4	yes	—
448	#13133195	C₂³	1	4	yes	—
449	#13133195	C₂³	1	4	yes	complemented
450	#13133195	C₂³	1	4	yes	complemented
451	#13133195	C₂³	1	4	yes	complemented
452	#13133195	C₂³	1	4	yes	complemented
453	#13133195	C₂³	1	4	yes	complemented
454	#13133194	C₂³	1	4	yes	—
455	#13133194	C₂³	1	4	yes	—
456	#13133194	C₂³	1	4	yes	complemented
457	#13133194	C₂³	1	4	yes	complemented
458	#13133194	C₂³	1	4	yes	complemented
459	#13133194	C₂³	1	4	yes	complemented
460	#13133194	C₂³	1	4	yes	complemented
461	#13133193	C₂³	1	2	yes	—
462	#13133193	C₂³	1	2	yes	—
463	#13133193	C₂³	1	2	yes	complemented
464	#13133193	C₂³	1	4	yes	complemented
465	#13133193	C₂³	1	2	yes	complemented
466	#13133193	C₂³	1	2	yes	complemented
467	#13133192	C₂³	1	4	yes	—
468	#13133192	C₂³	1	2	yes	—
469	#13133192	C₂³	1	2	yes	complemented
470	#13133192	C₂³	1	2	yes	complemented
471	#13133191	C₂³	1	4	yes	—
472	#13133191	C₂³	1	2	yes	—
473	#13133191	C₂³	1	2	yes	complemented
474	#13133191	C₂³	1	2	yes	complemented
475	#13133190	C₂³	1	4	yes	—
476	#13133190	C₂³	1	4	yes	—
477	#13133190	C₂³	1	4	yes	—
478	#13133190	C₂³	1	4	yes	complemented
479	#13133190	C₂³	1	4	yes	complemented
480	#13133189	C₂³	1	4	yes	—
481	#13133189	C₂³	1	4	yes	—
482	#13133189	C₂³	1	4	yes	—
483	#13133189	C₂³	1	4	yes	complemented
484	#13133189	C₂³	1	4	yes	complemented
485	#13133188	C₂³	1	2	yes	—
486	#13133188	C₂³	1	4	yes	—
487	#13133188	C₂³	1	2	yes	complemented
488	#13133188	C₂³	1	2	yes	complemented
489	#13133187	C₂³	1	4	yes	—
490	#13133187	C₂³	1	4	yes	—
491	#13133187	C₂³	1	4	yes	—
492	#13133186	C₂³	1	4	yes	—
493	#13133185	C₂³	1	4	yes	—
494	#13133185	C₂³	1	4	yes	—
495	#13133185	C₂³	1	4	yes	—
496	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
497	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
498	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
499	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
500	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
501	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
502	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
503	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
504	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
505	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
506	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
507	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
508	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
509	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
510	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
511	#13133182	C₂³	1	2	yes	complemented
512	#13133182	C₂³	1	4	yes	complemented
513	#13133182	C₂³	1	1	yes	characteristic, complemented
514	#13133182	C₂³	1	2	yes	complemented
515	#13133182	C₂³	1	2	yes	complemented
516	#13133182	C₂³	1	1	yes	characteristic, complemented
517	#13133182	C₂³	1	4	yes	complemented
518	#13133182	C₂³	1	2	yes	complemented
519	#13133182	C₂³	1	2	yes	complemented
520	#13133182	C₂³	1	4	yes	complemented
521	C₄×D₂₁₂	C₂³	1	2	yes	—
522	C₄×D₂₁₂	C₂³	1	2	yes	—
523	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
524	C₄×D₂₁₂	C₂³	1	2	yes	—
525	C₄×D₂₁₂	C₂³	1	2	yes	—
526	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
527	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
528	C₄×D₂₁₂	C₂³	1	2	yes	—
529	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
530	C₄×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
531	C₄×D₂₁₂	C₂³	1	4	yes	complemented
532	C₄×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
533	C₄×D₂₁₂	C₂³	1	4	yes	complemented
534	C₄×D₂₁₂	C₂³	1	4	yes	complemented
535	D₄×Dic₅₃	C₂³	1	2	yes	—
536	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
537	D₄×Dic₅₃	C₂³	1	2	yes	—
538	D₄×Dic₅₃	C₂³	1	2	yes	—
539	D₄×Dic₅₃	C₂³	1	2	yes	—
540	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
541	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
542	D₄×Dic₅₃	C₂³	1	2	yes	—
543	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
544	D₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
545	D₄×Dic₅₃	C₂³	1	4	yes	complemented
546	D₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
547	D₄×Dic₅₃	C₂³	1	4	yes	complemented
548	D₄×Dic₅₃	C₂³	1	4	yes	complemented
549	#13133179	C₂³	1	2	yes	—
550	#13133179	C₂³	1	2	yes	—
551	#13133179	C₂³	1	1	yes	characteristic
552	#13133179	C₂³	1	2	yes	—
553	#13133179	C₂³	1	2	yes	—
554	#13133179	C₂³	1	1	yes	characteristic
555	#13133179	C₂³	1	1	yes	characteristic
556	#13133179	C₂³	1	2	yes	—
557	#13133179	C₂³	1	1	yes	characteristic
558	#13133179	C₂³	1	1	yes	characteristic, complemented
559	#13133179	C₂³	1	4	yes	complemented
560	#13133179	C₂³	1	1	yes	characteristic, complemented
561	#13133179	C₂³	1	4	yes	complemented
562	#13133179	C₂³	1	4	yes	complemented
563	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
564	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
565	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
566	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
567	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
568	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
569	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
570	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
571	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
572	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
573	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
574	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
575	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
576	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
577	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
578	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
579	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
580	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
581	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
582	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
583	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
584	#13133177	C₂³	1	4	yes	—
585	#13133177	C₂³	1	2	yes	—
586	#13133177	C₂³	1	2	yes	—
587	#13133177	C₂³	1	2	yes	—
588	#13133177	C₂³	1	2	yes	—
589	#13133177	C₂³	1	2	yes	—
590	#13133177	C₂³	1	2	yes	—
591	#13133177	C₂³	1	2	yes	—
592	#13133177	C₂³	1	2	yes	—
593	#13133177	C₂³	1	2	yes	—
594	#13133177	C₂³	1	2	yes	—
595	#13133177	C₂³	1	2	yes	—
596	#13133177	C₂³	1	2	yes	—
597	#13133177	C₂³	1	2	yes	complemented
598	#13133177	C₂³	1	4	yes	complemented
599	#13133177	C₂³	1	4	yes	complemented
600	#13133177	C₂³	1	2	yes	complemented
601	#13133177	C₂³	1	4	yes	complemented
602	#13133177	C₂³	1	4	yes	complemented
603	#13133177	C₂³	1	4	yes	complemented
604	#13133177	C₂³	1	4	yes	complemented
605	#13133176	C₂³	1	4	yes	—
606	#13133176	C₂³	1	1	yes	characteristic
607	#13133176	C₂³	1	2	yes	—
608	#13133176	C₂³	1	4	yes	complemented
609	#13133176	C₂³	1	2	yes	complemented
610	#13133176	C₂³	1	2	yes	complemented
611	#13133176	C₂³	1	2	yes	complemented
612	#13133176	C₂³	1	4	yes	complemented
613	#13133176	C₂³	1	2	yes	complemented
614	#13133175	C₂³	1	4	yes	—
615	#13133175	C₂³	1	4	yes	—
616	#13133175	C₂³	1	1	yes	characteristic
617	#13133175	C₂³	1	1	yes	characteristic
618	#13133175	C₂³	1	2	yes	—
619	#13133175	C₂³	1	2	yes	—
620	#13133175	C₂³	1	4	yes	complemented
621	#13133175	C₂³	1	4	yes	complemented
622	#13133175	C₂³	1	2	yes	complemented
623	#13133175	C₂³	1	2	yes	complemented
624	#13133175	C₂³	1	2	yes	complemented
625	#13133175	C₂³	1	2	yes	complemented
626	#13133175	C₂³	1	2	yes	complemented
627	#13133175	C₂³	1	2	yes	complemented
628	#13133175	C₂³	1	4	yes	complemented
629	#13133175	C₂³	1	4	yes	complemented
630	#13133175	C₂³	1	2	yes	complemented
631	#13133175	C₂³	1	2	yes	complemented
632	#13133174	C₂³	1	4	yes	—
633	#13133174	C₂³	1	4	yes	—
634	#13133174	C₂³	1	2	yes	—
635	#13133174	C₂³	1	4	yes	—
636	#13133174	C₂³	1	4	yes	complemented
637	#13133174	C₂³	1	4	yes	complemented
638	#13133174	C₂³	1	4	yes	complemented
639	#13133174	C₂³	1	4	yes	complemented
640	#13133174	C₂³	1	4	yes	complemented
641	#13133174	C₂³	1	4	yes	complemented
642	#13133174	C₂³	1	4	yes	complemented
643	#13133174	C₂³	1	2	yes	complemented
644	#13133174	C₂³	1	2	yes	complemented
645	#13133173	C₂³	1	4	yes	—
646	#13133173	C₂³	1	4	yes	—
647	#13133173	C₂³	1	2	yes	—
648	#13133173	C₂³	1	4	yes	—
649	#13133173	C₂³	1	4	yes	complemented
650	#13133173	C₂³	1	4	yes	complemented
651	#13133173	C₂³	1	4	yes	complemented
652	#13133173	C₂³	1	4	yes	complemented
653	#13133173	C₂³	1	4	yes	complemented
654	#13133173	C₂³	1	4	yes	complemented
655	#13133173	C₂³	1	4	yes	complemented
656	#13133173	C₂³	1	2	yes	complemented
657	#13133173	C₂³	1	2	yes	complemented
658	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
659	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
660	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
661	C₂×#11719919	C₂³	1	2	yes	—
662	C₂×#11719919	C₂³	1	4	yes	complemented
663	C₂×#11719919	C₂³	1	4	yes	complemented
664	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
665	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
666	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
667	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
668	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
669	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
670	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
671	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
672	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
673	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
674	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
675	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
676	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
677	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
678	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
679	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
680	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
681	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
682	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
683	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
684	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
685	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
686	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
687	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
688	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
689	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
690	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	—
691	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
692	C₂×#11719921	C₂³	1	4	yes	—
693	C₂×#11719921	C₂³	1	4	yes	—
694	C₂×#11719921	C₂³	1	2	yes	—
695	C₂×#11719921	C₂³	1	2	yes	—
696	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
697	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
698	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
699	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
700	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
701	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
702	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
703	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
704	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
705	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
706	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
707	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
708	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
709	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
710	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
711	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
712	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
713	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
714	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
715	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
716	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
717	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
718	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
719	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
720	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
721	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
722	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
723	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
724	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
725	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
726	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
727	C₄²×D₅₃	C₂³	1	1	yes	characteristic
728	C₄²×D₅₃	C₂³	1	1	yes	characteristic
729	C₄²×D₅₃	C₂³	1	1	yes	characteristic
730	C₄²×D₅₃	C₂³	1	1	yes	characteristic
731	C₄²×D₅₃	C₂³	1	1	yes	characteristic
732	C₄²×D₅₃	C₂³	1	1	yes	characteristic
733	C₄²×D₅₃	C₂³	1	1	yes	characteristic
734	C₄²×D₅₃	C₂³	1	1	yes	characteristic
735	C₄²×D₅₃	C₂³	1	2	yes	—
736	C₄²×D₅₃	C₂³	1	4	yes	—
737	C₄²×D₅₃	C₂³	1	4	yes	—
738	C₄²×D₅₃	C₂³	1	4	yes	—
739	C₄²×D₅₃	C₂³	1	2	yes	—
740	C₄²×D₅₃	C₂³	1	2	yes	—
741	C₄²×D₅₃	C₂³	1	4	yes	complemented
742	C₄²×D₅₃	C₂³	1	4	yes	complemented
743	C₄²×D₅₃	C₂³	1	4	yes	complemented
744	C₄²×D₅₃	C₂³	1	4	yes	complemented
745	C₄²×D₅₃	C₂³	1	2	yes	complemented
746	C₄²×D₅₃	C₂³	1	2	yes	complemented
747	C₄²×D₅₃	C₂³	1	2	yes	complemented
748	C₄²×D₅₃	C₂³	1	2	yes	complemented
749	C₂×#41×C₅₃	C₂³	1	2	yes	—
750	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
751	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
752	C₂³×C₄×C₅₃	C₂³	1	2	yes	—
753	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
754	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
755	#126×C₅₃	C₂³	1	4	yes	complemented
756	#126×C₅₃	C₂³	1	4	yes	complemented
757	#126×C₅₃	C₂³	1	4	yes	complemented
758	#125×C₅₃	C₂³	1	4	yes	complemented
759	#125×C₅₃	C₂³	1	2	yes	complemented
760	#125×C₅₃	C₂³	1	2	yes	complemented
761	#124×C₅₃	C₂³	1	2	yes	—
762	#124×C₅₃	C₂³	1	4	yes	complemented
763	#123×C₅₃	C₂³	1	4	yes	—
764	#123×C₅₃	C₂³	1	4	yes	—
765	#123×C₅₃	C₂³	1	4	yes	complemented
766	#123×C₅₃	C₂³	1	4	yes	complemented
767	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
768	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
769	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
770	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
771	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
772	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
773	#121×C₅₃	C₂³	1	2	yes	—
774	#121×C₅₃	C₂³	1	4	yes	—
775	#121×C₅₃	C₂³	1	2	yes	complemented
776	#121×C₅₃	C₂³	1	2	yes	complemented
777	#120×C₅₃	C₂³	1	4	yes	—
778	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
779	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
780	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
781	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
782	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
783	C₄×D₄×C₅₃	C₂³	1	2	yes	—
784	C₄×D₄×C₅₃	C₂³	1	2	yes	—
785	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
786	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
787	C₄×D₄×C₅₃	C₂³	1	2	yes	—
788	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
789	C₄×D₄×C₅₃	C₂³	1	2	yes	—
790	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
791	C₄×D₄×C₅₃	C₂³	1	2	yes	—
792	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
793	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
794	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
795	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
796	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
797	#117×C₅₃	C₂³	1	1	yes	characteristic
798	#117×C₅₃	C₂³	1	4	yes	—
799	#117×C₅₃	C₂³	1	2	yes	—
800	#117×C₅₃	C₂³	1	4	yes	complemented
801	#117×C₅₃	C₂³	1	2	yes	complemented
802	#117×C₅₃	C₂³	1	2	yes	complemented
803	#117×C₅₃	C₂³	1	4	yes	complemented
804	#117×C₅₃	C₂³	1	2	yes	complemented
805	#117×C₅₃	C₂³	1	2	yes	complemented
806	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
807	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
808	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
809	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
810	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
811	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
812	C₂×C₄²×C₅₃	C₂³	1	4	yes	complemented
813	C₂×C₄²×C₅₃	C₂³	1	2	yes	complemented
814	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
815	C₂³×D₅₃	—	2	8	no	—
816	C₂³×D₅₃	—	2	8	no	—
817	C₂³×D₅₃	—	4	4	no	—
818	C₂³×D₅₃	C₂⁴	1	2	yes	—
819	C₂³×D₅₃	C₂⁴	1	2	yes	—
820	C₂³×D₅₃	C₂⁴	1	2	yes	—
821	C₂³×D₅₃	C₂⁴	1	2	yes	—
822	C₂³×D₅₃	C₂⁴	1	2	yes	—
823	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
824	C₂³×D₅₃	C₂⁴	1	2	yes	—
825	#41×C₅₃	—	2	8	no	—
826	#41×C₅₃	—	2	4	no	—
827	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
828	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
829	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
830	C₂×D₄×C₅₃	—	2	4	no	—
831	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
832	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
833	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
834	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
835	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
836	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
837	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
838	C₂²×C₄×C₅₃	—	2	8	no	—
839	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
840	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
841	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
842	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
843	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
844	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
845	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
846	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
847	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
848	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
849	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
850	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
851	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
852	C₂×C₂²⋊D₅₃	—	2	8	no	—
853	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
854	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
855	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
856	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
857	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
858	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
860	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
861	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
862	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
863	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
864	C₂²×Dic₅₃	—	2	8	no	—
865	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
866	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
867	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
868	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
869	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
870	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
871	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
872	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
873	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
874	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
875	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
876	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
877	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
878	#11719949	—	2	8	no	—
879	#11719949	—	2	4	no	—
880	Q₈×D₅₃	—	2	4	no	—
881	Q₈×D₅₃	—	2	8	no	—
882	Q₈×D₅₃	—	4	4	no	—
883	#11719947	—	2	8	no	—
884	#11719947	—	2	16	no	—
885	#11719947	—	2	8	no	—
886	#11719947	—	2	4	no	—
887	D₄×D₅₃	—	2	8	no	—
888	D₄×D₅₃	—	2	8	no	—
889	D₄×D₅₃	—	2	16	no	—
890	D₄×D₅₃	—	2	4	no	—
891	D₄×D₅₃	—	2	8	no	—
892	D₄×D₅₃	—	2	4	no	—
893	D₄×D₅₃	—	2	4	no	—
894	D₄×D₅₃	—	2	4	no	—
895	D₄×D₅₃	—	4	8	no	—
896	D₄×D₅₃	#41	1	8	yes	complemented
897	#11719945	—	2	4	no	—
898	#11719945	—	2	16	no	—
899	#11719945	—	2	8	no	—
900	#11719945	—	2	8	no	—
901	C₂×D₂₁₂	—	2	4	no	—
902	C₂×D₂₁₂	C₂⁴	1	2	yes	—
903	C₂×D₂₁₂	C₂⁴	1	2	yes	—
904	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
905	C₂×D₂₁₂	C₂⁴	1	4	yes	—
906	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
907	C₂×D₂₁₂	C₂⁴	1	4	yes	—
908	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
909	C₂×C₄×D₅₃	—	2	8	no	—
910	C₂×C₄×D₅₃	—	2	16	no	—
911	C₂×C₄×D₅₃	—	2	8	no	—
912	C₂×C₄×D₅₃	—	2	8	no	—
913	C₂×C₄×D₅₃	—	2	8	no	—
914	C₂×C₄×D₅₃	—	2	8	no	—
915	C₂×C₄×D₅₃	—	2	8	no	—
916	C₂×C₄×D₅₃	—	2	8	no	—
917	C₂×C₄×D₅₃	—	2	4	no	—
918	C₂×C₄×D₅₃	—	2	8	no	—
919	C₂×C₄×D₅₃	—	2	8	no	—
920	C₂×C₄×D₅₃	—	2	8	no	—
921	C₂×C₄×D₅₃	—	2	8	no	—
922	C₂×C₄×D₅₃	—	2	8	no	—
923	C₂×C₄×D₅₃	—	2	8	no	—
924	C₂×C₄×D₅₃	—	4	4	no	—
925	C₂×C₄×D₅₃	—	4	8	no	—
926	C₂×C₄×D₅₃	—	4	2	no	—
927	C₂×C₄×D₅₃	#41	1	8	yes	complemented
928	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
929	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
930	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
931	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
932	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
933	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
934	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
935	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
936	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
937	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
938	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
939	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
940	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
941	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
942	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
943	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
944	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
945	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
946	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
947	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
948	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
949	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
950	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
951	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
952	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
953	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
954	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
955	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
956	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
957	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
958	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
959	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
960	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
961	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
962	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
963	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
964	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
965	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
966	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
967	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
968	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
969	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
970	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
971	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
972	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
973	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
974	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
975	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
976	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
977	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
978	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
979	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
980	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
981	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
982	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
983	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
984	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
985	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
986	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
987	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
988	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
989	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
990	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
991	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
992	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
993	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
994	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
995	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
996	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
997	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
998	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
999	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1000	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1001	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1002	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1003	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1004	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1005	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1006	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1007	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1008	C₄²×C₅₃	C₂⁴	1	2	yes	—
1009	C₄²×C₅₃	C₂⁴	1	4	yes	—
1010	C₄²×C₅₃	C₂⁴	1	4	yes	—
1011	C₄²×C₅₃	C₂⁴	1	4	yes	—
1012	C₄²×C₅₃	C₂⁴	1	2	yes	—
1013	C₄²×C₅₃	C₂⁴	1	2	yes	—
1014	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1015	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1016	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1017	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1018	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1019	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1020	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1021	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1022	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1023	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1024	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1025	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1026	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1027	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1028	#11719921	C₂⁴	1	2	yes	—
1029	#11719921	C₂⁴	1	2	yes	—
1030	#11719921	C₂⁴	1	4	yes	—
1031	#11719921	C₂⁴	1	4	yes	—
1032	#11719921	C₂⁴	1	2	yes	—
1033	#11719921	C₂⁴	1	2	yes	—
1034	#11719921	C₂⁴	1	4	yes	—
1035	#11719921	C₂⁴	1	4	yes	—
1036	#11719921	C₂⁴	1	4	yes	—
1037	#11719921	C₂⁴	1	4	yes	—
1038	#11719921	C₂⁴	1	2	yes	—
1039	#11719921	C₂⁴	1	2	yes	—
1040	#11719921	C₂⁴	1	2	yes	—
1041	#11719921	C₂⁴	1	2	yes	—
1042	#11719921	C₂⁴	1	2	yes	—
1043	#11719921	C₂⁴	1	2	yes	—
1044	#11719921	C₂⁴	1	4	yes	—
1045	#11719921	C₂⁴	1	2	yes	—
1046	#11719921	C₂⁴	1	2	yes	—
1047	#11719921	C₂⁴	1	4	yes	—
1048	#11719921	C₂⁴	1	2	yes	—
1049	#11719921	C₂⁴	1	2	yes	—
1050	#11719921	C₂⁴	1	4	yes	—
1051	#11719921	C₂⁴	1	4	yes	—
1052	#11719921	C₂⁴	1	4	yes	—
1053	#11719921	C₂⁴	1	4	yes	—
1054	#11719921	C₂⁴	1	4	yes	—
1055	#11719921	C₂⁴	1	4	yes	—
1056	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1057	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1058	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1059	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1060	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1061	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1062	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1063	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1064	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1065	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1066	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1067	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1068	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1069	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1070	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1071	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1072	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1073	#11719919	C₂⁴	1	2	yes	—
1074	#11719919	C₂⁴	1	2	yes	—
1075	#11719919	C₂⁴	1	2	yes	—
1076	#11719919	C₂⁴	1	2	yes	—
1077	#11719919	C₂⁴	1	2	yes	—
1078	#11719919	C₂⁴	1	2	yes	—
1079	#11719919	C₂⁴	1	4	yes	—
1080	#11719919	C₂⁴	1	4	yes	—
1081	#11719919	C₂⁴	1	4	yes	—
1082	#11719919	C₂⁴	1	4	yes	—
1083	#11719919	C₂⁴	1	4	yes	—
1084	#11719919	C₂⁴	1	4	yes	—
1085	#11719919	C₂⁴	1	4	yes	—
1086	#11719919	C₂⁴	1	2	yes	—
1087	#11719919	C₂⁴	1	2	yes	—
1088	#11719919	C₂⁴	1	2	yes	—
1089	#11719919	C₂⁴	1	2	yes	—
1090	#11719919	C₂⁴	1	4	yes	—
1091	#11719919	C₂⁴	1	4	yes	—
1092	#11719919	C₂⁴	1	4	yes	—
1093	#11719919	C₂⁴	1	4	yes	—
1094	#11719919	C₂⁴	1	4	yes	—
1095	#11719919	C₂⁴	1	4	yes	—
1096	#11719919	C₂⁴	1	4	yes	—
1097	#11719919	C₂⁴	1	4	yes	—
1098	#11719919	C₂⁴	1	4	yes	—
1099	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1100	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1101	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1102	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1103	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1104	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1105	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1106	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1107	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1108	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1109	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1110	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1111	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1112	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1113	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1114	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1115	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1116	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1117	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1118	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1119	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1120	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1121	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1122	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1123	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1124	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1125	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1126	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1127	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1128	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1129	C₂³×C₅₃	—	2	4	no	—
1130	C₂³×C₅₃	—	2	4	no	—
1131	C₂³×C₅₃	—	4	2	no	—
1132	C₂³×C₅₃	C₂⁵	1	2	yes	—
1133	C₂³×C₅₃	C₂⁵	1	2	yes	—
1134	C₂³×C₅₃	C₂⁵	1	2	yes	—
1135	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1136	C₂²×D₅₃	—	2	4	no	—
1137	C₂²×D₅₃	—	2	2	no	—
1138	C₂²×D₅₃	—	2	4	no	—
1139	C₂²×D₅₃	—	2	2	no	—
1140	C₂²×D₅₃	—	2	4	no	—
1141	C₂²×D₅₃	—	2	4	no	—
1142	C₂²×D₅₃	—	2	4	no	—
1143	C₂²×D₅₃	—	2	4	no	—
1144	C₂²×D₅₃	—	2	4	no	—
1145	C₂²×D₅₃	—	2	4	no	—
1146	C₂²×D₅₃	—	2	4	no	—
1147	C₂²×D₅₃	—	2	4	no	—
1148	C₂²×D₅₃	—	2	4	no	—
1149	C₂²×D₅₃	—	2	4	no	—
1150	C₂²×D₅₃	—	2	4	no	—
1151	C₂²×D₅₃	—	2	4	no	—
1152	C₂²×D₅₃	—	4	2	no	—
1153	C₂²×D₅₃	—	4	2	no	—
1154	C₂²×D₅₃	—	4	2	no	—
1155	C₂²×D₅₃	—	4	32	no	—
1156	C₂²×D₅₃	C₂×#41	1	4	yes	—
1157	C₂²×D₅₃	C₂×#41	1	8	yes	—
1158	C₂²×D₅₃	C₂⁵	1	2	yes	—
1159	C₂²×D₅₃	C₂⁵	1	2	yes	—
1160	C₂²×D₅₃	C₂⁵	1	2	yes	—
1161	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1162	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1163	Q₈×C₅₃	—	2	4	no	—
1164	Q₈×C₅₃	—	2	2	no	—
1165	Q₈×C₅₃	—	4	2	no	—
1166	D₄×C₅₃	—	2	4	no	—
1167	D₄×C₅₃	—	2	4	no	—
1168	D₄×C₅₃	—	2	8	no	—
1169	D₄×C₅₃	—	2	2	no	—
1170	D₄×C₅₃	—	2	2	no	—
1171	D₄×C₅₃	—	4	4	no	—
1172	D₄×C₅₃	C₂×#41	1	4	yes	complemented
1173	C₂×C₄×C₅₃	—	2	4	no	—
1174	C₂×C₄×C₅₃	—	2	8	no	—
1175	C₂×C₄×C₅₃	—	2	4	no	—
1176	C₂×C₄×C₅₃	—	2	4	no	—
1177	C₂×C₄×C₅₃	—	2	4	no	—
1178	C₂×C₄×C₅₃	—	2	4	no	—
1179	C₂×C₄×C₅₃	—	2	2	no	—
1180	C₂×C₄×C₅₃	—	2	4	no	—
1181	C₂×C₄×C₅₃	—	2	4	no	—
1182	C₂×C₄×C₅₃	—	4	1	no	—
1183	C₂×C₄×C₅₃	—	4	4	no	—
1184	C₂×C₄×C₅₃	—	4	2	no	—
1185	C₂×C₄×C₅₃	C₂×#41	1	4	yes	complemented
1186	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1187	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1188	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1189	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1190	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1191	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1192	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1193	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1194	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1195	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1196	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1197	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1198	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1199	C₂²⋊D₅₃	—	2	4	no	—
1200	C₂²⋊D₅₃	—	2	8	no	—
1201	C₂²⋊D₅₃	—	2	4	no	—
1202	C₂²⋊D₅₃	—	2	4	no	—
1203	C₂²⋊D₅₃	—	2	8	no	—
1204	C₂²⋊D₅₃	—	2	4	no	—
1205	C₂²⋊D₅₃	—	2	4	no	—
1206	C₂²⋊D₅₃	—	2	4	no	—
1207	C₂²⋊D₅₃	—	4	4	no	—
1208	C₂²⋊D₅₃	—	4	4	no	—
1209	C₂²⋊D₅₃	C₂×#41	1	8	yes	complemented
1210	C₂×Dic₅₃	—	2	4	no	—
1211	C₂×Dic₅₃	—	2	8	no	—
1212	C₂×Dic₅₃	—	2	4	no	—
1213	C₂×Dic₅₃	—	2	4	no	—
1214	C₂×Dic₅₃	—	2	4	no	—
1215	C₂×Dic₅₃	—	2	4	no	—
1216	C₂×Dic₅₃	—	2	4	no	—
1217	C₂×Dic₅₃	—	2	4	no	—
1218	C₂×Dic₅₃	—	2	2	no	—
1219	C₂×Dic₅₃	—	4	1	no	—
1220	C₂×Dic₅₃	—	4	4	no	—
1221	C₂×Dic₅₃	—	4	2	no	—
1222	C₂×Dic₅₃	C₂×#41	1	4	yes	complemented
1223	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1224	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1225	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1226	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1227	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1228	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1229	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1230	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1231	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1232	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1233	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1234	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1235	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1236	D₂₁₂	—	2	4	no	—
1237	D₂₁₂	—	2	4	no	—
1238	D₂₁₂	—	2	8	no	—
1239	D₂₁₂	—	2	2	no	—
1240	D₂₁₂	—	2	2	no	—
1241	D₂₁₂	—	4	4	no	—
1242	D₂₁₂	C₂×#41	1	4	yes	complemented
1243	C₄×D₅₃	—	2	4	no	—
1244	C₄×D₅₃	—	2	4	no	—
1245	C₄×D₅₃	—	2	4	no	—
1246	C₄×D₅₃	—	2	4	no	—
1247	C₄×D₅₃	—	2	4	no	—
1248	C₄×D₅₃	—	2	8	no	—
1249	C₄×D₅₃	—	2	2	no	—
1250	C₄×D₅₃	—	2	8	no	—
1251	C₄×D₅₃	—	2	4	no	—
1252	C₄×D₅₃	—	2	8	no	—
1253	C₄×D₅₃	—	2	2	no	—
1254	C₄×D₅₃	—	2	4	no	—
1255	C₄×D₅₃	—	2	8	no	—
1256	C₄×D₅₃	—	2	2	no	—
1257	C₄×D₅₃	—	2	4	no	—
1258	C₄×D₅₃	—	2	4	no	—
1259	C₄×D₅₃	—	2	4	no	—
1260	C₄×D₅₃	—	2	4	no	—
1261	C₄×D₅₃	—	2	4	no	—
1262	C₄×D₅₃	—	2	2	no	—
1263	C₄×D₅₃	—	2	4	no	—
1264	C₄×D₅₃	—	2	4	no	—
1265	C₄×D₅₃	—	2	4	no	—
1266	C₄×D₅₃	—	2	4	no	—
1267	C₄×D₅₃	—	2	4	no	—
1268	C₄×D₅₃	—	2	4	no	—
1269	C₄×D₅₃	—	2	2	no	—
1270	C₄×D₅₃	—	2	4	no	—
1271	C₄×D₅₃	—	4	1	no	—
1272	C₄×D₅₃	—	4	4	no	—
1273	C₄×D₅₃	—	4	1	no	—
1274	C₄×D₅₃	—	4	4	no	—
1275	C₄×D₅₃	—	4	2	no	—
1276	C₄×D₅₃	—	4	2	no	—
1277	C₄×D₅₃	C₂×#41	1	4	yes	—
1278	C₄×D₅₃	C₂×#41	1	4	yes	—
1279	C₄×D₅₃	C₂×#41	1	4	yes	—
1280	C₄×D₅₃	C₂×#41	1	4	yes	complemented
1281	C₄×D₅₃	C₂×#41	1	4	yes	complemented
1282	Dic₁₀₆	—	2	4	no	—
1283	Dic₁₀₆	—	2	2	no	—
1284	Dic₁₀₆	—	2	8	no	—
1285	Dic₁₀₆	—	2	4	no	—
1286	Dic₁₀₆	—	4	4	no	—
1287	Dic₁₀₆	—	4	2	no	—
1288	C₂×#3475	—	53	1	no	maximal, Sylow
1289	C₂²×C₅₃	—	2	2	no	—
1290	C₂²×C₅₃	—	2	1	no	—
1291	C₂²×C₅₃	—	2	2	no	—
1292	C₂²×C₅₃	—	2	1	no	—
1293	C₂²×C₅₃	—	2	2	no	—
1294	C₂²×C₅₃	—	2	2	no	—
1295	C₂²×C₅₃	—	2	2	no	—
1296	C₂²×C₅₃	—	2	2	no	—
1297	C₂²×C₅₃	—	2	2	no	—
1298	C₂²×C₅₃	—	2	2	no	—
1299	C₂²×C₅₃	—	4	8	no	—
1300	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1301	C₂²×C₅₃	C₂²×#41	1	4	yes	—
1302	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1303	C₂×D₅₃	—	2	2	no	—
1304	C₂×D₅₃	—	2	1	no	—
1305	C₂×D₅₃	—	2	2	no	—
1306	C₂×D₅₃	—	2	1	no	—
1307	C₂×D₅₃	—	2	8	no	—
1308	C₂×D₅₃	—	2	16	no	—
1309	C₂×D₅₃	—	2	2	no	—
1310	C₂×D₅₃	—	2	2	no	—
1311	C₂×D₅₃	—	2	2	no	—
1312	C₂×D₅₃	—	2	2	no	—
1313	C₂×D₅₃	—	2	2	no	—
1314	C₂×D₅₃	—	2	2	no	—
1315	C₂×D₅₃	—	4	8	no	—
1316	C₂×D₅₃	—	4	8	no	—
1317	C₂×D₅₃	—	4	8	no	—
1318	C₂×D₅₃	—	4	8	no	—
1319	C₂×D₅₃	—	4	8	no	—
1320	C₂×D₅₃	C₂²×#41	1	2	yes	—
1321	C₂×D₅₃	C₂²×#41	1	4	yes	—
1322	C₂×D₅₃	C₂²×#41	1	2	yes	—
1323	C₂×D₅₃	C₂²×#41	1	2	yes	—
1324	C₂×D₅₃	#585	1	2	yes	—
1325	C₄×C₅₃	—	2	4	no	—
1326	C₄×C₅₃	—	2	2	no	—
1327	C₄×C₅₃	—	2	2	no	—
1328	C₄×C₅₃	—	2	2	no	—
1329	C₄×C₅₃	—	2	2	no	—
1330	C₄×C₅₃	—	2	1	no	—
1331	C₄×C₅₃	—	2	1	no	—
1332	C₄×C₅₃	—	2	4	no	—
1333	C₄×C₅₃	—	2	1	no	—
1334	C₄×C₅₃	—	2	2	no	—
1335	C₄×C₅₃	C₂²×#41	1	2	yes	—
1336	C₄×C₅₃	C₂²×#41	1	2	yes	—
1337	C₄×C₅₃	C₂²×#41	1	2	yes	—
1338	Dic₅₃	—	2	4	no	—
1339	Dic₅₃	—	2	2	no	—
1340	Dic₅₃	—	2	2	no	—
1341	Dic₅₃	—	2	2	no	—
1342	Dic₅₃	—	2	2	no	—
1343	Dic₅₃	—	2	1	no	—
1344	Dic₅₃	—	2	1	no	—
1345	Dic₅₃	—	2	4	no	—
1346	Dic₅₃	—	2	1	no	—
1347	Dic₅₃	—	2	2	no	—
1348	Dic₅₃	C₂²×#41	1	2	yes	—
1349	Dic₅₃	C₂²×#41	1	2	yes	—
1350	Dic₅₃	C₂²×#41	1	2	yes	—
1351	#3475	—	53	1	no	—
1352	#3475	—	53	1	no	—
1353	#3475	—	53	1	no	—
1354	#3475	—	53	2	no	—
1355	#3475	—	53	2	no	—
1356	#3475	—	53	2	no	—
1357	#3475	—	53	4	no	—
1358	#3475	—	53	1	no	—
1359	#3475	—	53	2	no	—
1360	#3475	—	53	1	no	—
1361	#3475	—	53	4	no	—
1362	#3475	—	53	2	no	—
1363	#3475	—	53	2	no	—
1364	#3475	—	53	2	no	—
1365	#3475	—	53	1	no	—
1366	#3475	—	53	1	no	—
1367	#3475	—	53	2	no	—
1368	#3475	D₅₃	1	1	yes	characteristic, direct product factor
1369	C₂×#556	—	53	1	no	—
1370	C₂×#555	—	53	1	no	—
1371	C₂×#554	—	53	1	no	—
1372	C₂×#553	—	53	2	no	—
1373	C₂×#552	—	53	2	no	—
1374	C₂×#552	—	53	2	no	—
1375	C₂×#551	—	53	4	no	—
1376	C₂×#547	—	53	1	no	—
1377	C₂×#546	—	53	2	no	—
1378	C₂×#533	—	53	1	no	—
1379	C₂×#529	—	53	2	no	—
1380	C₂×#529	—	53	4	no	—
1381	C₂×#525	—	53	2	no	—
1382	C₂×C₄×#41	—	53	1	no	—
1383	C₂×C₄×#41	—	53	2	no	—
1384	C₂²×C₄×D₄	—	53	1	no	—
1385	C₂²×#117	—	53	2	no	—
1386	C₂×C₅₃	—	2	2	no	—
1387	C₂×C₅₃	—	2	4	no	—
1388	C₂×C₅₃	—	4	2	no	—
1389	C₂×C₅₃	—	4	2	no	—
1390	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1391	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1392	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1393	D₅₃	—	2	2	no	—
1394	D₅₃	—	2	4	no	—
1395	D₅₃	—	4	2	no	—
1396	D₅₃	—	4	2	no	—
1397	D₅₃	#3475	1	4	yes	direct product factor
1398	C₂²×#41	—	53	1	no	—
1399	C₂²×#41	—	53	2	no	—
1400	C₂³×D₄	—	53	1	no	—
1401	C₂⁴×C₄	—	53	2	no	—
1402	#556	—	53	1	no	—
1403	#556	—	53	4	no	—
1404	#556	—	53	2	no	—
1405	#556	—	53	2	no	—
1406	#556	—	53	2	no	—
1407	#556	—	53	1	no	—
1408	#556	—	53	1	no	—
1409	#556	—	53	2	no	—
1410	#556	C₂×D₅₃	1	1	yes	characteristic, complemented
1411	#555	—	53	1	no	—
1412	#555	—	53	4	no	—
1413	#555	—	53	2	no	—
1414	#555	—	53	2	no	—
1415	#555	—	53	1	no	—
1416	#555	—	53	1	no	—
1417	#555	—	53	2	no	—
1418	#555	—	53	2	no	—
1419	#555	C₂×D₅₃	1	1	yes	characteristic, complemented
1420	#554	—	53	1	no	—
1421	#554	—	53	2	no	—
1422	#554	—	53	4	no	—
1423	#554	—	53	2	no	—
1424	#554	—	53	1	no	—
1425	#554	—	53	1	no	—
1426	#554	—	53	2	no	—
1427	#554	—	53	2	no	—
1428	#554	C₂×D₅₃	1	1	yes	characteristic, complemented
1429	#553	—	53	4	no	—
1430	#553	—	53	2	no	—
1431	#553	—	53	4	no	—
1432	#553	—	53	4	no	—
1433	#553	—	53	2	no	—
1434	#553	—	53	2	no	—
1435	#553	—	53	2	no	—
1436	#553	—	53	4	no	—
1437	#553	—	53	2	no	—
1438	#553	—	53	2	no	—
1439	#553	—	53	2	no	—
1440	#553	C₂×D₅₃	1	2	yes	complemented
1441	#552	—	53	4	no	—
1442	#552	—	53	4	no	—
1443	#552	—	53	4	no	—
1444	#552	—	53	4	no	—
1445	#552	—	53	2	no	—
1446	#552	—	53	2	no	—
1447	#552	—	53	4	no	—
1448	#552	—	53	4	no	—
1449	#552	—	53	2	no	—
1450	#552	—	53	2	no	—
1451	#552	—	53	2	no	—
1452	#552	—	53	2	no	—
1453	#552	—	53	2	no	—
1454	#552	—	53	2	no	—
1455	#552	—	53	2	no	—
1456	#552	—	53	2	no	—
1457	#552	—	53	4	no	—
1458	#552	—	53	4	no	—
1459	#552	—	53	2	no	—
1460	#552	—	53	2	no	—
1461	#552	—	53	2	no	—
1462	#552	—	53	2	no	—
1463	#552	C₂×D₅₃	1	2	yes	complemented
1464	#552	C₂×D₅₃	1	2	yes	complemented
1465	#551	—	53	4	no	—
1466	#551	—	53	4	no	—
1467	#551	—	53	4	no	—
1468	#551	—	53	4	no	—
1469	#551	—	53	4	no	—
1470	#551	—	53	4	no	—
1471	#551	—	53	4	no	—
1472	#551	—	53	4	no	—
1473	#551	—	53	4	no	—
1474	#551	—	53	4	no	—
1475	#551	—	53	4	no	—
1476	#551	—	53	4	no	—
1477	#551	—	53	4	no	—
1478	#551	—	53	4	no	—
1479	#551	—	53	4	no	—
1480	#551	C₂×D₅₃	1	4	yes	complemented
1481	#547	—	53	2	no	—
1482	#547	—	53	1	no	—
1483	#547	—	53	4	no	—
1484	#547	—	53	2	no	—
1485	#547	—	53	2	no	—
1486	#547	—	53	1	no	—
1487	#547	—	53	1	no	—
1488	#547	—	53	2	no	—
1489	#547	C₂×D₅₃	1	1	yes	characteristic, complemented
1490	#546	—	53	2	no	—
1491	#546	—	53	2	no	—
1492	#546	—	53	2	no	—
1493	#546	—	53	4	no	—
1494	#546	—	53	2	no	—
1495	#546	—	53	2	no	—
1496	#546	—	53	4	no	—
1497	#546	—	53	4	no	—
1498	#546	—	53	2	no	—
1499	#546	—	53	2	no	—
1500	#546	—	53	4	no	—
1501	#546	C₂×D₅₃	1	2	yes	complemented
1502	#533	—	53	1	no	—
1503	#533	—	53	1	no	—
1504	#533	—	53	2	no	—
1505	#533	—	53	2	no	—
1506	#533	—	53	2	no	—
1507	#533	—	53	2	no	—
1508	#533	—	53	2	no	—
1509	#533	—	53	2	no	—
1510	#533	—	53	1	no	—
1511	#533	C₂×D₅₃	1	1	yes	characteristic, complemented
1512	C₂×C₄⋊Q₈	—	53	1	no	—
1513	C₂×C₄⋊Q₈	—	53	1	no	—
1514	#529	—	53	4	no	—
1515	#529	—	53	4	no	—
1516	#529	—	53	4	no	—
1517	#529	—	53	4	no	—
1518	#529	—	53	2	no	—
1519	#529	—	53	2	no	—
1520	#529	—	53	4	no	—
1521	#529	—	53	4	no	—
1522	#529	—	53	4	no	—
1523	#529	—	53	4	no	—
1524	#529	—	53	4	no	—
1525	#529	—	53	2	no	—
1526	#529	—	53	4	no	—
1527	#529	—	53	2	no	—
1528	#529	—	53	4	no	—
1529	#529	—	53	2	no	—
1530	#529	—	53	4	no	—
1531	#529	—	53	2	no	—
1532	#529	—	53	4	no	—
1533	#529	—	53	4	no	—
1534	#529	—	53	4	no	—
1535	#529	—	53	4	no	—
1536	#529	—	53	4	no	—
1537	#529	—	53	4	no	—
1538	#529	—	53	4	no	—
1539	#529	—	53	2	no	—
1540	#529	C₂×D₅₃	1	4	yes	complemented
1541	#529	C₂×D₅₃	1	2	yes	complemented
1542	C₂×#126	—	53	4	no	—
1543	C₂×#126	—	53	4	no	—
1544	C₂×#126	—	53	4	no	—
1545	C₂×#125	—	53	4	no	—
1546	C₂×#125	—	53	2	no	—
1547	C₂×#125	—	53	2	no	—
1548	C₂×#124	—	53	2	no	—
1549	C₂×#124	—	53	4	no	—
1550	#525	—	53	2	no	—
1551	#525	—	53	2	no	—
1552	#525	—	53	4	no	—
1553	#525	—	53	2	no	—
1554	#525	—	53	2	no	—
1555	#525	—	53	2	no	—
1556	#525	—	53	2	no	—
1557	#525	—	53	4	no	—
1558	#525	—	53	4	no	—
1559	#525	—	53	4	no	—
1560	#525	—	53	2	no	—
1561	#525	C₂×D₅₃	1	2	yes	complemented
1562	C₂×#123	—	53	4	no	—
1563	C₂×#123	—	53	4	no	—
1564	C₂×#123	—	53	4	no	—
1565	C₂×#123	—	53	4	no	—
1566	C₂×C₂²⋊Q₈	—	53	2	no	—
1567	C₂×C₂²⋊Q₈	—	53	2	no	—
1568	C₂×C₂²⋊Q₈	—	53	2	no	—
1569	C₂×C₂²⋊Q₈	—	53	2	no	—
1570	C₂×C₂²⋊Q₈	—	53	2	no	—
1571	C₂×C₂²⋊Q₈	—	53	4	no	—
1572	C₂×#121	—	53	4	no	—
1573	C₂×#121	—	53	2	no	—
1574	C₂×#121	—	53	2	no	—
1575	C₂×#121	—	53	2	no	—
1576	C₂×#120	—	53	4	no	—
1577	C₄×#41	—	53	2	no	—
1578	C₄×#41	—	53	1	no	—
1579	C₄×#41	—	53	2	no	—
1580	C₄×#41	—	53	2	no	—
1581	C₄×#41	—	53	1	no	—
1582	C₄×#41	—	53	1	no	—
1583	C₄×#41	—	53	2	no	—
1584	C₄×#41	—	53	2	no	—
1585	C₄×#41	—	53	2	no	—
1586	C₄×#41	—	53	2	no	—
1587	C₄×#41	—	53	4	no	—
1588	C₄×#41	—	53	4	no	—
1589	C₄×#41	—	53	1	no	—
1590	C₄×#41	—	53	1	no	—
1591	C₄×#41	—	53	1	no	—
1592	C₄×#41	—	53	4	no	—
1593	C₄×#41	—	53	2	no	—
1594	C₄×#41	—	53	2	no	—
1595	C₄×#41	—	53	1	no	—
1596	C₄×#41	—	53	2	no	—
1597	C₄×#41	—	53	4	no	—
1598	C₄×#41	—	53	2	no	—
1599	C₄×#41	C₂×D₅₃	1	1	yes	characteristic, complemented
1600	C₄×#41	C₂×D₅₃	1	2	yes	complemented
1601	C₂×C₄×Q₈	—	53	2	no	—
1602	C₂×C₄×Q₈	—	53	1	no	—
1603	C₂×C₄×Q₈	—	53	2	no	—
1604	C₂×C₄×Q₈	—	53	1	no	—
1605	C₂×C₄×Q₈	—	53	2	no	—
1606	C₂×C₄×D₄	—	53	1	no	—
1607	C₂×C₄×D₄	—	53	2	no	—
1608	C₂×C₄×D₄	—	53	1	no	—
1609	C₂×C₄×D₄	—	53	2	no	—
1610	C₂×C₄×D₄	—	53	1	no	—
1611	C₂×C₄×D₄	—	53	1	no	—
1612	C₂×C₄×D₄	—	53	2	no	—
1613	C₂×C₄×D₄	—	53	1	no	—
1614	C₂×C₄×D₄	—	53	2	no	—
1615	C₂×C₄×D₄	—	53	2	no	—
1616	C₂×C₄×D₄	—	53	2	no	—
1617	C₂×C₄×D₄	—	53	1	no	—
1618	C₂×C₄×D₄	—	53	2	no	—
1619	C₂×C₄×D₄	—	53	1	no	—
1620	C₂×C₄×D₄	—	53	1	no	—
1621	C₂×C₄×D₄	—	53	2	no	—
1622	C₂×C₄×D₄	—	53	1	no	—
1623	C₂×C₄×D₄	—	53	4	no	—
1624	C₂×C₄×D₄	—	53	1	no	—
1625	C₂×C₄×D₄	—	53	4	no	—
1626	C₂×C₄×D₄	—	53	1	no	—
1627	C₂×C₄×D₄	—	53	4	no	—
1628	C₂×C₄×D₄	—	53	1	no	—
1629	C₂×C₄×D₄	—	53	2	no	—
1630	C₂×C₄×D₄	—	53	1	no	—
1631	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1632	C₂×#117	—	53	2	no	—
1633	C₂×#117	—	53	1	no	—
1634	C₂×#117	—	53	2	no	—
1635	C₂×#117	—	53	4	no	—
1636	C₂×#117	—	53	2	no	—
1637	C₂×#117	—	53	2	no	—
1638	C₂×#117	—	53	4	no	—
1639	C₂×#117	—	53	4	no	—
1640	C₂×#117	—	53	2	no	—
1641	C₂×#117	—	53	2	no	—
1642	C₂×#117	—	53	4	no	—
1643	C₂×#117	—	53	2	no	—
1644	C₂×#117	—	53	2	no	—
1645	C₂×#117	—	53	2	no	—
1646	C₂×#117	—	53	4	no	—
1647	C₂×#117	—	53	2	no	—
1648	C₂×#117	—	53	2	no	—
1649	C₂×#117	—	53	2	no	—
1650	C₂×#117	—	53	4	no	—
1651	C₂×#117	—	53	4	no	—
1652	C₂×#117	C₂×D₅₃	1	2	yes	complemented
1653	C₂²×C₄⋊C₄	—	53	1	no	—
1654	C₂²×C₄⋊C₄	—	53	2	no	—
1655	C₂²×C₄⋊C₄	—	53	2	no	—
1656	C₂²×C₂²⋊C₄	—	53	4	no	—
1657	C₂²×C₂²⋊C₄	—	53	2	no	—
1658	C₂²×C₄²	—	53	1	no	—
1659	C₂²×C₄²	—	53	4	no	—
1660	C₂²×C₄²	—	53	2	no	—
1661	C₅₃	C₂×#3475	1	1	yes	characteristic, complemented, Sylow
1662	C₂⁵	—	53	2	no	—
1663	C₂×#41	—	53	1	no	—
1664	C₂×#41	—	53	2	no	—
1665	C₂×#41	—	53	2	no	—
1666	C₂×#41	—	53	1	no	—
1667	C₂×#41	—	53	2	no	—
1668	C₂×#41	—	53	4	no	—
1669	C₂×#41	—	53	2	no	—
1670	C₂×#41	—	53	1	no	—
1671	C₂×#41	—	53	2	no	—
1672	C₂×#41	—	53	4	no	—
1673	C₂×#41	—	106	8	no	—
1674	C₂×#41	—	106	16	no	—
1675	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1676	C₂×#41	C₂²×D₅₃	1	2	yes	—
1677	C₂²×Q₈	—	53	1	no	—
1678	C₂²×Q₈	—	53	2	no	—
1679	C₂²×Q₈	—	53	2	no	—
1680	C₂²×D₄	—	53	1	no	—
1681	C₂²×D₄	—	53	2	no	—
1682	C₂²×D₄	—	53	2	no	—
1683	C₂²×D₄	—	53	4	no	—
1684	C₂²×D₄	—	53	1	no	—
1685	C₂²×D₄	—	53	2	no	—
1686	C₂²×D₄	—	53	1	no	—
1687	C₂²×D₄	—	53	2	no	—
1688	C₂²×D₄	—	53	1	no	—
1689	C₂²×D₄	—	53	1	no	—
1690	C₂²×D₄	—	53	4	no	—
1691	C₂²×D₄	—	53	1	no	—
1692	C₂²×D₄	—	106	8	no	—
1693	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1694	C₂³×C₄	—	53	1	no	—
1695	C₂³×C₄	—	53	2	no	—
1696	C₂³×C₄	—	53	2	no	—
1697	C₂³×C₄	—	53	4	no	—
1698	C₂³×C₄	—	53	2	no	—
1699	C₂³×C₄	—	53	1	no	—
1700	C₂³×C₄	—	53	2	no	—
1701	C₂³×C₄	—	53	2	no	—
1702	C₂³×C₄	—	53	2	no	—
1703	C₂³×C₄	—	53	2	no	—
1704	C₂³×C₄	—	53	2	no	—
1705	C₂³×C₄	—	53	2	no	—
1706	C₂³×C₄	—	53	2	no	—
1707	C₂³×C₄	—	53	2	no	—
1708	C₂³×C₄	—	53	2	no	—
1709	C₂³×C₄	—	53	2	no	—
1710	C₂³×C₄	—	53	2	no	—
1711	C₂³×C₄	—	53	1	no	—
1712	C₂³×C₄	—	53	4	no	—
1713	C₂³×C₄	—	53	2	no	—
1714	C₂³×C₄	—	106	16	no	—
1715	C₂³×C₄	C₂²×D₅₃	1	2	yes	—
1716	C₄⋊Q₈	—	53	2	no	—
1717	C₄⋊Q₈	—	53	2	no	—
1718	C₄⋊Q₈	—	53	2	no	—
1719	C₄⋊Q₈	—	53	2	no	—
1720	C₄⋊Q₈	—	53	2	no	—
1721	C₄⋊Q₈	—	53	2	no	—
1722	C₄⋊Q₈	—	53	1	no	—
1723	C₄⋊Q₈	—	53	1	no	—
1724	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1725	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1726	#126	—	53	4	no	—
1727	#126	—	53	4	no	—
1728	#126	—	53	4	no	—
1729	#126	—	53	4	no	—
1730	#126	—	53	4	no	—
1731	#126	—	53	4	no	—
1732	#126	—	53	4	no	—
1733	#126	—	53	4	no	—
1734	#126	—	53	4	no	—
1735	#126	—	53	4	no	—
1736	#126	—	53	4	no	—
1737	#126	—	53	4	no	—
1738	#126	—	53	4	no	—
1739	#126	—	53	4	no	—
1740	#126	—	53	4	no	—
1741	#126	—	53	4	no	—
1742	#126	—	53	4	no	—
1743	#126	—	53	4	no	—
1744	#126	—	53	4	no	—
1745	#126	—	53	4	no	—
1746	#126	—	53	4	no	—
1747	#126	C₂²×D₅₃	1	4	yes	complemented
1748	#126	C₂²×D₅₃	1	4	yes	complemented
1749	#126	C₂²×D₅₃	1	4	yes	complemented
1750	#125	—	53	4	no	—
1751	#125	—	53	4	no	—
1752	#125	—	53	4	no	—
1753	#125	—	53	4	no	—
1754	#125	—	53	4	no	—
1755	#125	—	53	4	no	—
1756	#125	—	53	4	no	—
1757	#125	—	53	4	no	—
1758	#125	—	53	2	no	—
1759	#125	—	53	2	no	—
1760	#125	—	53	4	no	—
1761	#125	—	53	4	no	—
1762	#125	—	53	2	no	—
1763	#125	—	53	2	no	—
1764	#125	—	53	4	no	—
1765	#125	—	53	2	no	—
1766	#125	—	53	2	no	—
1767	#125	C₂²×D₅₃	1	4	yes	complemented
1768	#125	C₂²×D₅₃	1	2	yes	complemented
1769	#125	C₂²×D₅₃	1	2	yes	complemented
1770	#124	—	53	2	no	—
1771	#124	—	53	4	no	—
1772	#124	—	53	2	no	—
1773	#124	—	53	4	no	—
1774	#124	—	53	4	no	—
1775	#124	—	53	4	no	—
1776	#124	—	53	4	no	—
1777	#124	—	53	4	no	—
1778	#124	—	53	4	no	—
1779	#124	—	53	4	no	—
1780	#124	—	53	2	no	—
1781	#124	—	53	4	no	—
1782	#124	C₂²×D₅₃	1	2	yes	—
1783	#124	C₂²×D₅₃	1	4	yes	complemented
1784	#123	—	53	4	no	—
1785	#123	—	53	4	no	—
1786	#123	—	53	4	no	—
1787	#123	—	53	4	no	—
1788	#123	—	53	4	no	—
1789	#123	—	53	4	no	—
1790	#123	—	53	4	no	—
1791	#123	—	53	4	no	—
1792	#123	—	53	4	no	—
1793	#123	—	53	4	no	—
1794	#123	—	53	4	no	—
1795	#123	—	53	4	no	—
1796	#123	—	53	4	no	—
1797	#123	—	53	4	no	—
1798	#123	—	53	4	no	—
1799	#123	—	53	4	no	—
1800	#123	—	53	4	no	—
1801	#123	—	53	4	no	—
1802	#123	—	53	4	no	—
1803	#123	—	53	4	no	—
1804	#123	—	53	4	no	—
1805	#123	—	53	4	no	—
1806	#123	—	53	4	no	—
1807	#123	—	53	4	no	—
1808	#123	—	53	4	no	—
1809	#123	—	53	4	no	—
1810	#123	—	53	4	no	—
1811	#123	—	53	4	no	—
1812	#123	C₂²×D₅₃	1	4	yes	—
1813	#123	C₂²×D₅₃	1	4	yes	—
1814	#123	C₂²×D₅₃	1	4	yes	complemented
1815	#123	C₂²×D₅₃	1	4	yes	complemented
1816	C₂²⋊Q₈	—	53	2	no	—
1817	C₂²⋊Q₈	—	53	2	no	—
1818	C₂²⋊Q₈	—	53	2	no	—
1819	C₂²⋊Q₈	—	53	4	no	—
1820	C₂²⋊Q₈	—	53	2	no	—
1821	C₂²⋊Q₈	—	53	2	no	—
1822	C₂²⋊Q₈	—	53	2	no	—
1823	C₂²⋊Q₈	—	53	2	no	—
1824	C₂²⋊Q₈	—	53	2	no	—
1825	C₂²⋊Q₈	—	53	4	no	—
1826	C₂²⋊Q₈	—	53	2	no	—
1827	C₂²⋊Q₈	—	53	2	no	—
1828	C₂²⋊Q₈	—	53	4	no	—
1829	C₂²⋊Q₈	—	53	2	no	—
1830	C₂²⋊Q₈	—	53	4	no	—
1831	C₂²⋊Q₈	—	53	2	no	—
1832	C₂²⋊Q₈	—	53	4	no	—
1833	C₂²⋊Q₈	—	53	2	no	—
1834	C₂²⋊Q₈	—	53	4	no	—
1835	C₂²⋊Q₈	—	53	4	no	—
1836	C₂²⋊Q₈	—	53	4	no	—
1837	C₂²⋊Q₈	—	53	4	no	—
1838	C₂²⋊Q₈	—	53	2	no	—
1839	C₂²⋊Q₈	—	53	4	no	—
1840	C₂²⋊Q₈	—	53	2	no	—
1841	C₂²⋊Q₈	—	53	4	no	—
1842	C₂²⋊Q₈	—	53	4	no	—
1843	C₂²⋊Q₈	—	53	4	no	—
1844	C₂²⋊Q₈	—	53	4	no	—
1845	C₂²⋊Q₈	—	53	4	no	—
1846	C₂²⋊Q₈	—	53	4	no	—
1847	C₂²⋊Q₈	—	53	4	no	—
1848	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1849	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1850	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1851	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1852	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1853	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1854	#121	—	53	2	no	—
1855	#121	—	53	4	no	—
1856	#121	—	53	2	no	—
1857	#121	—	53	4	no	—
1858	#121	—	53	4	no	—
1859	#121	—	53	4	no	—
1860	#121	—	53	4	no	—
1861	#121	—	53	2	no	—
1862	#121	—	53	4	no	—
1863	#121	—	53	2	no	—
1864	#121	—	53	2	no	—
1865	#121	—	53	4	no	—
1866	#121	—	53	2	no	—
1867	#121	—	53	2	no	—
1868	#121	—	53	2	no	—
1869	#121	—	53	4	no	—
1870	#121	—	53	2	no	—
1871	#121	—	53	4	no	—
1872	#121	—	53	4	no	—
1873	#121	—	53	4	no	—
1874	#121	—	53	4	no	—
1875	#121	—	53	4	no	—
1876	#121	C₂²×D₅₃	1	4	yes	—
1877	#121	C₂²×D₅₃	1	2	yes	—
1878	#121	C₂²×D₅₃	1	2	yes	complemented
1879	#121	C₂²×D₅₃	1	2	yes	complemented
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	C₂²×D₅₃	1	4	yes	—
1888	C₄×Q₈	—	53	2	no	—
1889	C₄×Q₈	—	53	1	no	—
1890	C₄×Q₈	—	53	2	no	—
1891	C₄×Q₈	—	53	1	no	—
1892	C₄×Q₈	—	53	2	no	—
1893	C₄×Q₈	—	53	4	no	—
1894	C₄×Q₈	—	53	2	no	—
1895	C₄×Q₈	—	53	2	no	—
1896	C₄×Q₈	—	53	1	no	—
1897	C₄×Q₈	—	53	4	no	—
1898	C₄×Q₈	—	53	2	no	—
1899	C₄×Q₈	—	53	2	no	—
1900	C₄×Q₈	—	53	1	no	—
1901	C₄×Q₈	—	53	2	no	—
1902	C₄×Q₈	—	53	4	no	—
1903	C₄×Q₈	—	53	4	no	—
1904	C₄×Q₈	—	53	2	no	—
1905	C₄×Q₈	—	53	1	no	—
1906	C₄×Q₈	—	53	2	no	—
1907	C₄×Q₈	—	53	2	no	—
1908	C₄×Q₈	—	53	4	no	—
1909	C₄×Q₈	—	53	2	no	—
1910	C₄×Q₈	—	53	1	no	—
1911	C₄×Q₈	—	53	2	no	—
1912	C₄×Q₈	—	53	4	no	—
1913	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1914	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1915	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1916	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1917	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1918	C₄×D₄	—	53	1	no	—
1919	C₄×D₄	—	53	1	no	—
1920	C₄×D₄	—	53	2	no	—
1921	C₄×D₄	—	53	1	no	—
1922	C₄×D₄	—	53	2	no	—
1923	C₄×D₄	—	53	1	no	—
1924	C₄×D₄	—	53	4	no	—
1925	C₄×D₄	—	53	2	no	—
1926	C₄×D₄	—	53	2	no	—
1927	C₄×D₄	—	53	1	no	—
1928	C₄×D₄	—	53	2	no	—
1929	C₄×D₄	—	53	4	no	—
1930	C₄×D₄	—	53	1	no	—
1931	C₄×D₄	—	53	4	no	—
1932	C₄×D₄	—	53	2	no	—
1933	C₄×D₄	—	53	2	no	—
1934	C₄×D₄	—	53	2	no	—
1935	C₄×D₄	—	53	2	no	—
1936	C₄×D₄	—	53	2	no	—
1937	C₄×D₄	—	53	2	no	—
1938	C₄×D₄	—	53	2	no	—
1939	C₄×D₄	—	53	2	no	—
1940	C₄×D₄	—	53	4	no	—
1941	C₄×D₄	—	53	4	no	—
1942	C₄×D₄	—	53	2	no	—
1943	C₄×D₄	—	53	2	no	—
1944	C₄×D₄	—	53	4	no	—
1945	C₄×D₄	—	53	2	no	—
1946	C₄×D₄	—	53	2	no	—
1947	C₄×D₄	—	53	2	no	—
1948	C₄×D₄	—	53	4	no	—
1949	C₄×D₄	—	53	4	no	—
1950	C₄×D₄	—	53	2	no	—
1951	C₄×D₄	—	53	4	no	—
1952	C₄×D₄	—	53	4	no	—
1953	C₄×D₄	—	53	1	no	—
1954	C₄×D₄	—	53	1	no	—
1955	C₄×D₄	—	53	2	no	—
1956	C₄×D₄	—	53	1	no	—
1957	C₄×D₄	—	53	2	no	—
1958	C₄×D₄	—	53	1	no	—
1959	C₄×D₄	—	53	4	no	—
1960	C₄×D₄	—	53	2	no	—
1961	C₄×D₄	—	53	2	no	—
1962	C₄×D₄	—	53	1	no	—
1963	C₄×D₄	—	53	2	no	—
1964	C₄×D₄	—	53	4	no	—
1965	C₄×D₄	—	53	1	no	—
1966	C₄×D₄	—	53	4	no	—
1967	C₄×D₄	—	53	2	no	—
1968	C₄×D₄	—	53	2	no	—
1969	C₄×D₄	—	53	2	no	—
1970	C₄×D₄	—	53	2	no	—
1971	C₄×D₄	—	53	2	no	—
1972	C₄×D₄	—	53	2	no	—
1973	C₄×D₄	—	53	2	no	—
1974	C₄×D₄	—	53	2	no	—
1975	C₄×D₄	—	53	4	no	—
1976	C₄×D₄	—	53	4	no	—
1977	C₄×D₄	—	53	2	no	—
1978	C₄×D₄	—	53	2	no	—
1979	C₄×D₄	—	53	4	no	—
1980	C₄×D₄	—	53	2	no	—
1981	C₄×D₄	—	53	2	no	—
1982	C₄×D₄	—	53	2	no	—
1983	C₄×D₄	—	53	4	no	—
1984	C₄×D₄	—	53	4	no	—
1985	C₄×D₄	—	53	2	no	—
1986	C₄×D₄	—	53	4	no	—
1987	C₄×D₄	—	53	4	no	—
1988	C₄×D₄	—	53	1	no	—
1989	C₄×D₄	—	53	1	no	—
1990	C₄×D₄	—	53	2	no	—
1991	C₄×D₄	—	53	1	no	—
1992	C₄×D₄	—	53	2	no	—
1993	C₄×D₄	—	53	1	no	—
1994	C₄×D₄	—	53	4	no	—
1995	C₄×D₄	—	53	2	no	—
1996	C₄×D₄	—	53	2	no	—
1997	C₄×D₄	—	53	1	no	—
1998	C₄×D₄	—	53	2	no	—
1999	C₄×D₄	—	53	4	no	—
2000	C₄×D₄	—	53	1	no	—
2001	C₄×D₄	—	53	4	no	—
2002	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2003	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2004	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2005	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2006	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2007	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2008	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2009	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2010	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2011	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2012	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2013	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2014	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2015	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2016	#117	—	53	1	no	—
2017	#117	—	53	2	no	—
2018	#117	—	53	4	no	—
2019	#117	—	53	4	no	—
2020	#117	—	53	2	no	—
2021	#117	—	53	2	no	—
2022	#117	—	53	2	no	—
2023	#117	—	53	4	no	—
2024	#117	—	53	2	no	—
2025	#117	—	53	1	no	—
2026	#117	—	53	1	no	—
2027	#117	—	53	2	no	—
2028	#117	—	53	2	no	—
2029	#117	—	53	4	no	—
2030	#117	—	53	4	no	—
2031	#117	—	53	4	no	—
2032	#117	—	53	4	no	—
2033	#117	—	53	2	no	—
2034	#117	—	53	2	no	—
2035	#117	—	53	2	no	—
2036	#117	—	53	2	no	—
2037	#117	—	53	2	no	—
2038	#117	—	53	2	no	—
2039	#117	—	53	4	no	—
2040	#117	—	53	4	no	—
2041	#117	—	53	2	no	—
2042	#117	—	53	2	no	—
2043	#117	—	53	2	no	—
2044	#117	—	53	4	no	—
2045	#117	—	53	4	no	—
2046	#117	—	53	4	no	—
2047	#117	—	53	4	no	—
2048	#117	—	53	4	no	—
2049	#117	—	53	4	no	—
2050	#117	—	53	4	no	—
2051	#117	—	53	2	no	—
2052	#117	—	53	2	no	—
2053	#117	—	53	4	no	—
2054	#117	—	53	4	no	—
2055	#117	—	53	4	no	—
2056	#117	—	53	2	no	—
2057	#117	—	53	4	no	—
2058	#117	—	53	4	no	—
2059	#117	—	53	4	no	—
2060	#117	—	53	4	no	—
2061	#117	—	53	4	no	—
2062	#117	—	53	4	no	—
2063	#117	—	53	4	no	—
2064	#117	—	53	2	no	—
2065	#117	—	53	2	no	—
2066	#117	—	53	4	no	—
2067	#117	—	53	4	no	—
2068	#117	—	53	4	no	—
2069	#117	C₂²×D₅₃	1	1	yes	characteristic
2070	#117	C₂²×D₅₃	1	2	yes	—
2071	#117	C₂²×D₅₃	1	4	yes	—
2072	#117	C₂²×D₅₃	1	4	yes	complemented
2073	#117	C₂²×D₅₃	1	2	yes	complemented
2074	#117	C₂²×D₅₃	1	2	yes	complemented
2075	#117	C₂²×D₅₃	1	2	yes	complemented
2076	#117	C₂²×D₅₃	1	4	yes	complemented
2077	#117	C₂²×D₅₃	1	2	yes	complemented
2078	C₂×C₄⋊C₄	—	53	4	no	—
2079	C₂×C₄⋊C₄	—	53	2	no	—
2080	C₂×C₄⋊C₄	—	53	4	no	—
2081	C₂×C₄⋊C₄	—	53	2	no	—
2082	C₂×C₄⋊C₄	—	53	2	no	—
2083	C₂×C₄⋊C₄	—	53	1	no	—
2084	C₂×C₄⋊C₄	—	53	1	no	—
2085	C₂×C₄⋊C₄	—	53	1	no	—
2086	C₂×C₄⋊C₄	—	53	1	no	—
2087	C₂×C₄⋊C₄	—	53	2	no	—
2088	C₂×C₄⋊C₄	—	53	2	no	—
2089	C₂×C₄⋊C₄	—	53	4	no	—
2090	C₂×C₄⋊C₄	—	53	4	no	—
2091	C₂×C₄⋊C₄	—	53	4	no	—
2092	C₂×C₄⋊C₄	—	53	2	no	—
2093	C₂×C₄⋊C₄	—	53	2	no	—
2094	C₂×C₄⋊C₄	—	53	4	no	—
2095	C₂×C₄⋊C₄	—	53	2	no	—
2096	C₂×C₄⋊C₄	—	53	2	no	—
2097	C₂×C₄⋊C₄	—	53	1	no	—
2098	C₂×C₄⋊C₄	—	53	2	no	—
2099	C₂×C₄⋊C₄	—	53	2	no	—
2100	C₂×C₄⋊C₄	—	53	1	no	—
2101	C₂×C₄⋊C₄	—	53	1	no	—
2102	C₂×C₄⋊C₄	—	53	2	no	—
2103	C₂×C₄⋊C₄	—	53	2	no	—
2104	C₂×C₄⋊C₄	—	53	4	no	—
2105	C₂×C₄⋊C₄	—	53	4	no	—
2106	C₂×C₄⋊C₄	—	53	2	no	—
2107	C₂×C₄⋊C₄	—	53	4	no	—
2108	C₂×C₄⋊C₄	—	53	4	no	—
2109	C₂×C₄⋊C₄	—	53	2	no	—
2110	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2111	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2112	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2113	C₂×C₂²⋊C₄	—	53	4	no	—
2114	C₂×C₂²⋊C₄	—	53	2	no	—
2115	C₂×C₂²⋊C₄	—	53	4	no	—
2116	C₂×C₂²⋊C₄	—	53	4	no	—
2117	C₂×C₂²⋊C₄	—	53	2	no	—
2118	C₂×C₂²⋊C₄	—	53	2	no	—
2119	C₂×C₂²⋊C₄	—	53	2	no	—
2120	C₂×C₂²⋊C₄	—	53	2	no	—
2121	C₂×C₂²⋊C₄	—	53	4	no	—
2122	C₂×C₂²⋊C₄	—	53	4	no	—
2123	C₂×C₂²⋊C₄	—	53	4	no	—
2124	C₂×C₂²⋊C₄	—	53	4	no	—
2125	C₂×C₂²⋊C₄	—	53	4	no	—
2126	C₂×C₂²⋊C₄	—	53	4	no	—
2127	C₂×C₂²⋊C₄	—	53	4	no	—
2128	C₂×C₂²⋊C₄	—	53	2	no	—
2129	C₂×C₂²⋊C₄	—	53	2	no	—
2130	C₂×C₂²⋊C₄	—	53	2	no	—
2131	C₂×C₂²⋊C₄	—	53	2	no	—
2132	C₂×C₂²⋊C₄	—	53	2	no	—
2133	C₂×C₂²⋊C₄	—	53	2	no	—
2134	C₂×C₂²⋊C₄	—	53	2	no	—
2135	C₂×C₂²⋊C₄	—	53	4	no	—
2136	C₂×C₂²⋊C₄	—	53	2	no	—
2137	C₂×C₂²⋊C₄	—	53	4	no	—
2138	C₂×C₂²⋊C₄	—	53	2	no	—
2139	C₂×C₂²⋊C₄	—	53	4	no	—
2140	C₂×C₂²⋊C₄	—	53	4	no	—
2141	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	—
2142	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2143	C₂×C₄²	—	53	4	no	—
2144	C₂×C₄²	—	53	4	no	—
2145	C₂×C₄²	—	53	4	no	—
2146	C₂×C₄²	—	53	1	no	—
2147	C₂×C₄²	—	53	1	no	—
2148	C₂×C₄²	—	53	1	no	—
2149	C₂×C₄²	—	53	2	no	—
2150	C₂×C₄²	—	53	2	no	—
2151	C₂×C₄²	—	53	2	no	—
2152	C₂×C₄²	—	53	4	no	—
2153	C₂×C₄²	—	53	2	no	—
2154	C₂×C₄²	—	53	1	no	—
2155	C₂×C₄²	—	53	4	no	—
2156	C₂×C₄²	—	53	4	no	—
2157	C₂×C₄²	—	53	2	no	—
2158	C₂×C₄²	—	53	4	no	—
2159	C₂×C₄²	—	53	4	no	—
2160	C₂×C₄²	—	53	4	no	—
2161	C₂×C₄²	—	53	4	no	—
2162	C₂×C₄²	—	53	1	no	—
2163	C₂×C₄²	—	53	1	no	—
2164	C₂×C₄²	—	53	2	no	—
2165	C₂×C₄²	—	53	1	no	—
2166	C₂×C₄²	—	53	1	no	—
2167	C₂×C₄²	—	53	1	no	—
2168	C₂×C₄²	—	53	1	no	—
2169	C₂×C₄²	—	53	1	no	—
2170	C₂×C₄²	—	53	2	no	—
2171	C₂×C₄²	—	53	2	no	—
2172	C₂×C₄²	—	53	2	no	—
2173	C₂×C₄²	—	53	2	no	—
2174	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
2175	C₂×C₄²	C₂²×D₅₃	1	4	yes	complemented
2176	C₂×C₄²	C₂²×D₅₃	1	2	yes	complemented
2177	C₂⁴	—	53	1	no	—
2178	C₂⁴	—	53	2	no	—
2179	C₂⁴	—	53	2	no	—
2180	C₂⁴	—	53	2	no	—
2181	C₂⁴	—	53	2	no	—
2182	C₂⁴	—	53	2	no	—
2183	C₂⁴	—	53	2	no	—
2184	C₂⁴	—	106	8	no	—
2185	C₂⁴	—	106	8	no	—
2186	C₂⁴	—	212	4	no	—
2187	C₂⁴	C₂³×D₅₃	1	2	yes	—
2188	#41	—	2	8	no	—
2189	#41	—	2	4	no	—
2190	#41	—	106	8	no	—
2191	#41	—	106	16	no	—
2192	#41	—	106	8	no	—
2193	#41	—	106	8	no	—
2194	#41	—	106	4	no	—
2195	#41	—	106	4	no	—
2196	#41	—	106	16	no	—
2197	#41	—	106	8	no	—
2198	#41	—	106	8	no	—
2199	#41	—	106	4	no	—
2200	C₂×Q₈	—	53	2	no	—
2201	C₂×Q₈	—	53	1	no	—
2202	C₂×Q₈	—	53	4	no	—
2203	C₂×Q₈	—	53	2	no	—
2204	C₂×Q₈	—	53	4	no	—
2205	C₂×Q₈	—	53	2	no	—
2206	C₂×Q₈	—	106	4	no	—
2207	C₂×Q₈	—	106	8	no	—
2208	C₂×Q₈	—	212	4	no	—
2209	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2210	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2211	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2212	C₂×D₄	—	2	4	no	—
2213	C₂×D₄	—	53	2	no	—
2214	C₂×D₄	—	53	8	no	—
2215	C₂×D₄	—	53	2	no	—
2216	C₂×D₄	—	53	2	no	—
2217	C₂×D₄	—	53	4	no	—
2218	C₂×D₄	—	53	4	no	—
2219	C₂×D₄	—	53	2	no	—
2220	C₂×D₄	—	53	2	no	—
2221	C₂×D₄	—	53	2	no	—
2222	C₂×D₄	—	53	2	no	—
2223	C₂×D₄	—	53	4	no	—
2224	C₂×D₄	—	53	4	no	—
2225	C₂×D₄	—	53	1	no	—
2226	C₂×D₄	—	53	2	no	—
2227	C₂×D₄	—	53	4	no	—
2228	C₂×D₄	—	53	1	no	—
2229	C₂×D₄	—	53	2	no	—
2230	C₂×D₄	—	53	1	no	—
2231	C₂×D₄	—	53	4	no	—
2232	C₂×D₄	—	106	4	no	—
2233	C₂×D₄	—	106	4	no	—
2234	C₂×D₄	—	106	4	no	—
2235	C₂×D₄	—	106	8	no	—
2236	C₂×D₄	—	106	4	no	—
2237	C₂×D₄	—	106	8	no	—
2238	C₂×D₄	—	106	8	no	—
2239	C₂×D₄	—	106	16	no	—
2240	C₂×D₄	—	106	8	no	—
2241	C₂×D₄	—	106	4	no	—
2242	C₂×D₄	—	212	8	no	—
2243	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2244	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2245	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2246	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2247	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2248	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2249	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2250	C₂²×C₄	—	2	8	no	—
2251	C₂²×C₄	—	53	1	no	—
2252	C₂²×C₄	—	53	8	no	—
2253	C₂²×C₄	—	53	1	no	—
2254	C₂²×C₄	—	53	1	no	—
2255	C₂²×C₄	—	53	1	no	—
2256	C₂²×C₄	—	53	1	no	—
2257	C₂²×C₄	—	53	1	no	—
2258	C₂²×C₄	—	53	2	no	—
2259	C₂²×C₄	—	53	4	no	—
2260	C₂²×C₄	—	53	1	no	—
2261	C₂²×C₄	—	53	2	no	—
2262	C₂²×C₄	—	53	2	no	—
2263	C₂²×C₄	—	53	2	no	—
2264	C₂²×C₄	—	53	2	no	—
2265	C₂²×C₄	—	53	2	no	—
2266	C₂²×C₄	—	53	2	no	—
2267	C₂²×C₄	—	53	1	no	—
2268	C₂²×C₄	—	53	4	no	—
2269	C₂²×C₄	—	53	2	no	—
2270	C₂²×C₄	—	53	2	no	—
2271	C₂²×C₄	—	53	2	no	—
2272	C₂²×C₄	—	53	2	no	—
2273	C₂²×C₄	—	53	1	no	—
2274	C₂²×C₄	—	53	2	no	—
2275	C₂²×C₄	—	53	1	no	—
2276	C₂²×C₄	—	53	4	no	—
2277	C₂²×C₄	—	53	2	no	—
2278	C₂²×C₄	—	53	4	no	—
2279	C₂²×C₄	—	53	1	no	—
2280	C₂²×C₄	—	53	4	no	—
2281	C₂²×C₄	—	53	4	no	—
2282	C₂²×C₄	—	53	1	no	—
2283	C₂²×C₄	—	53	1	no	—
2284	C₂²×C₄	—	53	2	no	—
2285	C₂²×C₄	—	53	2	no	—
2286	C₂²×C₄	—	53	2	no	—
2287	C₂²×C₄	—	53	2	no	—
2288	C₂²×C₄	—	53	2	no	—
2289	C₂²×C₄	—	53	2	no	—
2290	C₂²×C₄	—	53	2	no	—
2291	C₂²×C₄	—	53	2	no	—
2292	C₂²×C₄	—	53	2	no	—
2293	C₂²×C₄	—	53	2	no	—
2294	C₂²×C₄	—	53	2	no	—
2295	C₂²×C₄	—	53	2	no	—
2296	C₂²×C₄	—	53	2	no	—
2297	C₂²×C₄	—	53	2	no	—
2298	C₂²×C₄	—	53	1	no	—
2299	C₂²×C₄	—	53	1	no	—
2300	C₂²×C₄	—	53	4	no	—
2301	C₂²×C₄	—	53	4	no	—
2302	C₂²×C₄	—	53	2	no	—
2303	C₂²×C₄	—	53	2	no	—
2304	C₂²×C₄	—	106	8	no	—
2305	C₂²×C₄	—	106	8	no	—
2306	C₂²×C₄	—	106	8	no	—
2307	C₂²×C₄	—	106	8	no	—
2308	C₂²×C₄	—	106	8	no	—
2309	C₂²×C₄	—	106	8	no	—
2310	C₂²×C₄	—	106	8	no	—
2311	C₂²×C₄	—	106	8	no	—
2312	C₂²×C₄	—	106	8	no	—
2313	C₂²×C₄	—	106	4	no	—
2314	C₂²×C₄	—	106	8	no	—
2315	C₂²×C₄	—	106	8	no	—
2316	C₂²×C₄	—	106	8	no	—
2317	C₂²×C₄	—	106	16	no	—
2318	C₂²×C₄	—	106	8	no	—
2319	C₂²×C₄	—	106	8	no	—
2320	C₂²×C₄	—	212	4	no	—
2321	C₂²×C₄	—	212	8	no	—
2322	C₂²×C₄	—	212	2	no	—
2323	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2324	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2325	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2326	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2327	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2328	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2329	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2330	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2331	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2332	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2333	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2334	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2335	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2336	C₄⋊C₄	—	53	2	no	—
2337	C₄⋊C₄	—	53	2	no	—
2338	C₄⋊C₄	—	53	1	no	—
2339	C₄⋊C₄	—	53	1	no	—
2340	C₄⋊C₄	—	53	2	no	—
2341	C₄⋊C₄	—	53	1	no	—
2342	C₄⋊C₄	—	53	4	no	—
2343	C₄⋊C₄	—	53	4	no	—
2344	C₄⋊C₄	—	53	2	no	—
2345	C₄⋊C₄	—	53	2	no	—
2346	C₄⋊C₄	—	53	4	no	—
2347	C₄⋊C₄	—	53	4	no	—
2348	C₄⋊C₄	—	53	4	no	—
2349	C₄⋊C₄	—	53	4	no	—
2350	C₄⋊C₄	—	53	4	no	—
2351	C₄⋊C₄	—	53	4	no	—
2352	C₄⋊C₄	—	53	2	no	—
2353	C₄⋊C₄	—	53	1	no	—
2354	C₄⋊C₄	—	53	2	no	—
2355	C₄⋊C₄	—	53	2	no	—
2356	C₄⋊C₄	—	53	2	no	—
2357	C₄⋊C₄	—	53	4	no	—
2358	C₄⋊C₄	—	53	2	no	—
2359	C₄⋊C₄	—	53	2	no	—
2360	C₄⋊C₄	—	53	2	no	—
2361	C₄⋊C₄	—	53	2	no	—
2362	C₄⋊C₄	—	53	4	no	—
2363	C₄⋊C₄	—	53	4	no	—
2364	C₄⋊C₄	—	53	4	no	—
2365	C₄⋊C₄	—	53	4	no	—
2366	C₄⋊C₄	—	53	4	no	—
2367	C₄⋊C₄	—	53	4	no	—
2368	C₄⋊C₄	—	53	2	no	—
2369	C₄⋊C₄	—	53	2	no	—
2370	C₄⋊C₄	—	53	2	no	—
2371	C₄⋊C₄	—	53	4	no	—
2372	C₄⋊C₄	—	53	4	no	—
2373	C₄⋊C₄	—	53	4	no	—
2374	C₄⋊C₄	—	53	4	no	—
2375	C₄⋊C₄	—	53	4	no	—
2376	C₄⋊C₄	—	53	4	no	—
2377	C₄⋊C₄	—	53	4	no	—
2378	C₄⋊C₄	—	53	2	no	—
2379	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2380	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2381	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2382	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2383	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2384	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2385	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2386	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2387	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2388	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2389	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2390	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2391	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2392	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2393	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2394	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2395	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2396	C₂²⋊C₄	—	53	2	no	—
2397	C₂²⋊C₄	—	53	2	no	—
2398	C₂²⋊C₄	—	53	4	no	—
2399	C₂²⋊C₄	—	53	4	no	—
2400	C₂²⋊C₄	—	53	4	no	—
2401	C₂²⋊C₄	—	53	2	no	—
2402	C₂²⋊C₄	—	53	2	no	—
2403	C₂²⋊C₄	—	53	2	no	—
2404	C₂²⋊C₄	—	53	4	no	—
2405	C₂²⋊C₄	—	53	2	no	—
2406	C₂²⋊C₄	—	53	4	no	—
2407	C₂²⋊C₄	—	53	2	no	—
2408	C₂²⋊C₄	—	53	4	no	—
2409	C₂²⋊C₄	—	53	4	no	—
2410	C₂²⋊C₄	—	53	2	no	—
2411	C₂²⋊C₄	—	53	2	no	—
2412	C₂²⋊C₄	—	53	2	no	—
2413	C₂²⋊C₄	—	53	2	no	—
2414	C₂²⋊C₄	—	53	4	no	—
2415	C₂²⋊C₄	—	53	4	no	—
2416	C₂²⋊C₄	—	53	4	no	—
2417	C₂²⋊C₄	—	53	4	no	—
2418	C₂²⋊C₄	—	53	4	no	—
2419	C₂²⋊C₄	—	53	4	no	—
2420	C₂²⋊C₄	—	53	2	no	—
2421	C₂²⋊C₄	—	53	2	no	—
2422	C₂²⋊C₄	—	53	2	no	—
2423	C₂²⋊C₄	—	53	2	no	—
2424	C₂²⋊C₄	—	53	2	no	—
2425	C₂²⋊C₄	—	53	2	no	—
2426	C₂²⋊C₄	—	53	4	no	—
2427	C₂²⋊C₄	—	53	4	no	—
2428	C₂²⋊C₄	—	53	2	no	—
2429	C₂²⋊C₄	—	53	2	no	—
2430	C₂²⋊C₄	—	53	4	no	—
2431	C₂²⋊C₄	—	53	4	no	—
2432	C₂²⋊C₄	—	53	2	no	—
2433	C₂²⋊C₄	—	53	2	no	—
2434	C₂²⋊C₄	—	53	4	no	—
2435	C₂²⋊C₄	—	53	4	no	—
2436	C₂²⋊C₄	—	53	4	no	—
2437	C₂²⋊C₄	—	53	4	no	—
2438	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2439	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2440	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2441	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2442	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2443	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2444	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2445	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2446	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2447	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2448	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2449	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2450	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2451	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2452	C₄²	—	53	2	no	—
2453	C₄²	—	53	2	no	—
2454	C₄²	—	53	1	no	—
2455	C₄²	—	53	1	no	—
2456	C₄²	—	53	4	no	—
2457	C₄²	—	53	4	no	—
2458	C₄²	—	53	4	no	—
2459	C₄²	—	53	1	no	—
2460	C₄²	—	53	4	no	—
2461	C₄²	—	53	4	no	—
2462	C₄²	—	53	1	no	—
2463	C₄²	—	53	4	no	—
2464	C₄²	—	53	2	no	—
2465	C₄²	—	53	4	no	—
2466	C₄²	—	53	4	no	—
2467	C₄²	—	53	2	no	—
2468	C₄²	—	53	2	no	—
2469	C₄²	—	53	1	no	—
2470	C₄²	—	53	1	no	—
2471	C₄²	—	53	1	no	—
2472	C₄²	—	53	1	no	—
2473	C₄²	—	53	1	no	—
2474	C₄²	—	53	1	no	—
2475	C₄²	—	53	2	no	—
2476	C₄²	—	53	2	no	—
2477	C₄²	—	53	2	no	—
2478	C₄²	—	53	2	no	—
2479	C₄²	—	53	1	no	—
2480	C₄²	—	53	1	no	—
2481	C₄²	—	53	4	no	—
2482	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2483	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2484	C₄²	C₂³×D₅₃	1	4	yes	—
2485	C₄²	C₂³×D₅₃	1	4	yes	—
2486	C₄²	C₂³×D₅₃	1	2	yes	—
2487	C₄²	C₂³×D₅₃	1	2	yes	—
2488	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2489	C₄²	C₂³×D₅₃	1	2	yes	—
2490	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2491	C₄²	C₂³×D₅₃	1	4	yes	—
2492	C₂³	—	2	4	no	—
2493	C₂³	—	2	4	no	—
2494	C₂³	—	4	2	no	—
2495	C₂³	—	53	1	no	—
2496	C₂³	—	53	4	no	—
2497	C₂³	—	53	8	no	—
2498	C₂³	—	53	1	no	—
2499	C₂³	—	53	2	no	—
2500	C₂³	—	53	2	no	—
2501	C₂³	—	53	2	no	—
2502	C₂³	—	106	4	no	—
2503	C₂³	—	106	2	no	—
2504	C₂³	—	106	4	no	—
2505	C₂³	—	106	2	no	—
2506	C₂³	—	106	4	no	—
2507	C₂³	—	106	4	no	—
2508	C₂³	—	106	4	no	—
2509	C₂³	—	106	4	no	—
2510	C₂³	—	106	4	no	—
2511	C₂³	—	106	4	no	—
2512	C₂³	—	106	4	no	—
2513	C₂³	—	106	4	no	—
2514	C₂³	—	106	4	no	—
2515	C₂³	—	106	4	no	—
2516	C₂³	—	106	4	no	—
2517	C₂³	—	106	4	no	—
2518	C₂³	—	212	2	no	—
2519	C₂³	—	212	2	no	—
2520	C₂³	—	212	2	no	—
2521	C₂³	—	212	32	no	—
2522	C₂³	C₂⁴×D₅₃	1	2	yes	—
2523	C₂³	C₂⁴×D₅₃	1	2	yes	—
2524	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2525	C₂³	C₂⁴×D₅₃	1	2	yes	—
2526	Q₈	—	2	2	no	—
2527	Q₈	—	2	4	no	—
2528	Q₈	—	4	2	no	—
2529	Q₈	—	106	4	no	—
2530	Q₈	—	106	8	no	—
2531	Q₈	—	106	2	no	—
2532	Q₈	—	106	4	no	—
2533	Q₈	—	212	4	no	—
2534	Q₈	—	212	2	no	—
2535	D₄	—	2	4	no	—
2536	D₄	—	2	4	no	—
2537	D₄	—	2	8	no	—
2538	D₄	—	2	2	no	—
2539	D₄	—	2	2	no	—
2540	D₄	—	4	4	no	—
2541	D₄	—	53	8	no	—
2542	D₄	—	53	4	no	—
2543	D₄	—	106	4	no	—
2544	D₄	—	106	4	no	—
2545	D₄	—	106	8	no	—
2546	D₄	—	106	4	no	—
2547	D₄	—	106	4	no	—
2548	D₄	—	106	4	no	—
2549	D₄	—	106	4	no	—
2550	D₄	—	106	8	no	—
2551	D₄	—	106	4	no	—
2552	D₄	—	106	4	no	—
2553	D₄	—	106	8	no	—
2554	D₄	—	106	2	no	—
2555	D₄	—	106	2	no	—
2556	D₄	—	212	4	no	—
2557	D₄	—	212	4	no	—
2558	D₄	—	212	4	no	—
2559	D₄	#41×D₅₃	1	4	yes	complemented
2560	C₂×C₄	—	2	4	no	—
2561	C₂×C₄	—	2	8	no	—
2562	C₂×C₄	—	2	4	no	—
2563	C₂×C₄	—	2	4	no	—
2564	C₂×C₄	—	2	4	no	—
2565	C₂×C₄	—	2	4	no	—
2566	C₂×C₄	—	2	2	no	—
2567	C₂×C₄	—	2	4	no	—
2568	C₂×C₄	—	2	4	no	—
2569	C₂×C₄	—	4	2	no	—
2570	C₂×C₄	—	4	4	no	—
2571	C₂×C₄	—	4	1	no	—
2572	C₂×C₄	—	53	4	no	—
2573	C₂×C₄	—	53	1	no	—
2574	C₂×C₄	—	53	1	no	—
2575	C₂×C₄	—	53	1	no	—
2576	C₂×C₄	—	53	4	no	—
2577	C₂×C₄	—	53	4	no	—
2578	C₂×C₄	—	53	4	no	—
2579	C₂×C₄	—	53	4	no	—
2580	C₂×C₄	—	53	4	no	—
2581	C₂×C₄	—	53	2	no	—
2582	C₂×C₄	—	53	2	no	—
2583	C₂×C₄	—	53	2	no	—
2584	C₂×C₄	—	53	1	no	—
2585	C₂×C₄	—	53	1	no	—
2586	C₂×C₄	—	53	4	no	—
2587	C₂×C₄	—	53	2	no	—
2588	C₂×C₄	—	53	4	no	—
2589	C₂×C₄	—	53	1	no	—
2590	C₂×C₄	—	53	2	no	—
2591	C₂×C₄	—	106	4	no	—
2592	C₂×C₄	—	106	4	no	—
2593	C₂×C₄	—	106	4	no	—
2594	C₂×C₄	—	106	4	no	—
2595	C₂×C₄	—	106	2	no	—
2596	C₂×C₄	—	106	4	no	—
2597	C₂×C₄	—	106	4	no	—
2598	C₂×C₄	—	106	4	no	—
2599	C₂×C₄	—	106	4	no	—
2600	C₂×C₄	—	106	4	no	—
2601	C₂×C₄	—	106	4	no	—
2602	C₂×C₄	—	106	4	no	—
2603	C₂×C₄	—	106	2	no	—
2604	C₂×C₄	—	106	4	no	—
2605	C₂×C₄	—	106	8	no	—
2606	C₂×C₄	—	106	8	no	—
2607	C₂×C₄	—	106	8	no	—
2608	C₂×C₄	—	106	4	no	—
2609	C₂×C₄	—	106	2	no	—
2610	C₂×C₄	—	106	8	no	—
2611	C₂×C₄	—	106	2	no	—
2612	C₂×C₄	—	106	4	no	—
2613	C₂×C₄	—	106	4	no	—
2614	C₂×C₄	—	106	4	no	—
2615	C₂×C₄	—	106	4	no	—
2616	C₂×C₄	—	106	2	no	—
2617	C₂×C₄	—	106	4	no	—
2618	C₂×C₄	—	106	4	no	—
2619	C₂×C₄	—	106	4	no	—
2620	C₂×C₄	—	106	8	no	—
2621	C₂×C₄	—	106	4	no	—
2622	C₂×C₄	—	106	4	no	—
2623	C₂×C₄	—	106	4	no	—
2624	C₂×C₄	—	106	4	no	—
2625	C₂×C₄	—	106	2	no	—
2626	C₂×C₄	—	106	4	no	—
2627	C₂×C₄	—	106	4	no	—
2628	C₂×C₄	—	212	2	no	—
2629	C₂×C₄	—	212	2	no	—
2630	C₂×C₄	—	212	4	no	—
2631	C₂×C₄	—	212	1	no	—
2632	C₂×C₄	—	212	4	no	—
2633	C₂×C₄	—	212	1	no	—
2634	C₂×C₄	—	212	2	no	—
2635	C₂×C₄	—	212	4	no	—
2636	C₂×C₄	—	212	1	no	—
2637	C₂×C₄	#41×D₅₃	1	4	yes	complemented
2638	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2639	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2640	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2641	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2642	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2643	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2644	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2645	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2646	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2647	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2648	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2649	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2650	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2651	C₂²	—	2	2	no	—
2652	C₂²	—	2	1	no	—
2653	C₂²	—	2	2	no	—
2654	C₂²	—	2	1	no	—
2655	C₂²	—	2	2	no	—
2656	C₂²	—	2	2	no	—
2657	C₂²	—	2	2	no	—
2658	C₂²	—	2	2	no	—
2659	C₂²	—	2	2	no	—
2660	C₂²	—	2	2	no	—
2661	C₂²	—	4	8	no	—
2662	C₂²	—	53	2	no	—
2663	C₂²	—	53	2	no	—
2664	C₂²	—	53	2	no	—
2665	C₂²	—	53	2	no	—
2666	C₂²	—	53	4	no	—
2667	C₂²	—	106	8	no	—
2668	C₂²	—	106	16	no	—
2669	C₂²	—	106	2	no	—
2670	C₂²	—	106	1	no	—
2671	C₂²	—	106	2	no	—
2672	C₂²	—	106	1	no	—
2673	C₂²	—	106	2	no	—
2674	C₂²	—	106	2	no	—
2675	C₂²	—	106	2	no	—
2676	C₂²	—	106	2	no	—
2677	C₂²	—	106	2	no	—
2678	C₂²	—	106	2	no	—
2679	C₂²	—	212	8	no	—
2680	C₂²	—	212	8	no	—
2681	C₂²	—	212	8	no	—
2682	C₂²	—	212	8	no	—
2683	C₂²	—	212	8	no	—
2684	C₂²	C₂×#41×D₅₃	1	2	yes	—
2685	C₂²	C₂×#41×D₅₃	1	4	yes	—
2686	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2687	C₄	—	2	2	no	—
2688	C₄	—	2	2	no	—
2689	C₄	—	2	2	no	—
2690	C₄	—	2	1	no	—
2691	C₄	—	2	4	no	—
2692	C₄	—	2	2	no	—
2693	C₄	—	2	1	no	—
2694	C₄	—	2	2	no	—
2695	C₄	—	2	4	no	—
2696	C₄	—	2	1	no	—
2697	C₄	—	53	2	no	—
2698	C₄	—	53	2	no	—
2699	C₄	—	53	2	no	—
2700	C₄	—	106	2	no	—
2701	C₄	—	106	2	no	—
2702	C₄	—	106	2	no	—
2703	C₄	—	106	1	no	—
2704	C₄	—	106	4	no	—
2705	C₄	—	106	2	no	—
2706	C₄	—	106	2	no	—
2707	C₄	—	106	1	no	—
2708	C₄	—	106	4	no	—
2709	C₄	—	106	1	no	—
2710	C₄	C₂×#41×D₅₃	1	2	yes	—
2711	C₄	C₂×#41×D₅₃	1	2	yes	—
2712	C₄	C₂×#41×D₅₃	1	2	yes	—
2713	C₂	—	2	2	no	—
2714	C₂	—	2	4	no	—
2715	C₂	—	4	2	no	—
2716	C₂	—	4	2	no	—
2717	C₂	—	53	4	no	—
2718	C₂	—	106	2	no	—
2719	C₂	—	106	4	no	—
2720	C₂	—	212	2	no	—
2721	C₂	—	212	2	no	—
2722	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2723	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2724	C₂	#585×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₅₃×#3475	C₂
hypercenter	#3475	D₅₃
hypocenter	C₅₃	C₂×#3475
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂×C₄ ◁ #3475

Complements

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

N	H ≅ G/N	type
1. #20288282	C₂	semidirect
2. #20288281	C₂	semidirect
3. #20288280	C₂	semidirect
4. #20288279	C₂	semidirect
5. #20288278	C₂	semidirect
6. #20288277	C₂	semidirect
7. #20288276	C₂	semidirect
8. #20288275	C₂	semidirect
9. #20288274	C₂	semidirect
10. #20288273	C₂	semidirect
11. #20288272	C₂	semidirect
12. #20288271	C₂	semidirect
13. #20288270	C₂	semidirect
14. #20288269	C₂	semidirect
15. #20288268	C₂	semidirect
16. #20288267	C₂	semidirect
17. #20288266	C₂	semidirect
18. #556×D₅₃	C₂	semidirect
19. #555×D₅₃	C₂	semidirect
20. #554×D₅₃	C₂	semidirect
21. #553×D₅₃	C₂	semidirect
22. #552×D₅₃	C₂	semidirect
23. #552×D₅₃	C₂	semidirect
24. #551×D₅₃	C₂	semidirect
25. #547×D₅₃	C₂	semidirect
26. #546×D₅₃	C₂	semidirect
27. #533×D₅₃	C₂	semidirect
28. #529×D₅₃	C₂	semidirect
29. #529×D₅₃	C₂	semidirect
30. #525×D₅₃	C₂	semidirect
31. C₄×#41×D₅₃	C₂	semidirect
32. C₄×#41×D₅₃	C₂	semidirect
33. C₂×C₄×D₄×D₅₃	C₂	semidirect
34. C₂×#117×D₅₃	C₂	semidirect
35. C₅₃×#3475	C₂	semidirect
40. #16811347	C₂²	semidirect
41. #16811346	C₂²	semidirect
42. #16811345	C₂²	semidirect
43. #16811344	C₂²	semidirect
44. #16811343	C₂²	semidirect
45. #16811342	C₂²	semidirect
46. #16811341	C₂²	semidirect
47. #16811340	C₂²	semidirect
48. #16811339	C₂²	semidirect
49. #16811338	C₂²	semidirect
50. #16811338	C₂²	semidirect
51. #16811337	C₂²	semidirect
52. #16811337	C₂²	semidirect
53. #16811336	C₂²	semidirect
54. #16811336	C₂²	semidirect
55. #16811335	C₂²	semidirect
56. #16811334	C₂²	semidirect
57. #16811333	C₂²	semidirect
58. #16811332	C₂²	semidirect
59. #16811331	C₂²	semidirect
60. #16811330	C₂²	semidirect
61. #16811329	C₂²	semidirect
62. #16811328	C₂²	semidirect
63. #16811327	C₂²	semidirect
64. #16811326	C₂²	semidirect
65. #16811325	C₂²	semidirect
66. #16811324	C₂²	semidirect
67. #16811323	C₂²	semidirect
68. #16811322	C₂²	semidirect
69. #16811321	C₂²	semidirect
70. #16811320	C₂²	semidirect
71. #16811319	C₂²	semidirect
72. #16811318	C₂²	semidirect
73. #16811317	C₂²	semidirect
74. #16811316	C₂²	semidirect
75. #16811315	C₂²	semidirect
76. #16811315	C₂²	semidirect
77. #16811314	C₂²	semidirect
78. #16811314	C₂²	semidirect
79. #16811313	C₂²	semidirect
80. #16811313	C₂²	semidirect
81. #16811312	C₂²	semidirect
82. #16811312	C₂²	semidirect
83. #16811311	C₂²	semidirect
84. #16811311	C₂²	semidirect
85. #16811310	C₂²	semidirect
86. #16811310	C₂²	semidirect
87. #16811309	C₂²	semidirect
88. #16811309	C₂²	semidirect
89. #16811308	C₂²	semidirect
90. #16811308	C₂²	semidirect
91. #16811307	C₂²	semidirect
92. #16811307	C₂²	semidirect
93. #16811306	C₂²	semidirect
94. #16811306	C₂²	semidirect
95. #16811305	C₂²	semidirect
96. #16811305	C₂²	semidirect
97. #16811304	C₂²	semidirect
98. #16811303	C₂²	semidirect
99. #16811302	C₂²	semidirect
100. #16811302	C₂²	semidirect
101. #16811301	C₂²	semidirect
102. #16811300	C₂²	semidirect
103. #16811300	C₂²	semidirect
104. #16811299	C₂²	semidirect
105. #16811299	C₂²	semidirect
106. #16811298	C₂²	semidirect
107. #16811298	C₂²	semidirect
108. #16811297	C₂²	semidirect
109. #16811297	C₂²	semidirect
110. #16811296	C₂²	semidirect
111. #16811296	C₂²	semidirect
112. #16811278	C₂²	semidirect
113. #16811277	C₂²	semidirect
114. #16811276	C₂²	semidirect
115. #16811275	C₂²	semidirect
116. #16811274	C₂²	semidirect
117. #16811273	C₂²	semidirect
118. #16811272	C₂²	semidirect
119. #16811271	C₂²	semidirect
120. #16811270	C₂²	semidirect
121. #16811269	C₂²	semidirect
122. #16811268	C₂²	semidirect
123. #16811267	C₂²	semidirect
124. #16811266	C₂²	semidirect
125. #16811265	C₂²	semidirect
126. #16811264	C₂²	semidirect
127. #16811263	C₂²	semidirect
128. #16811262	C₂²	semidirect
129. #16811261	C₂²	semidirect
130. #16811260	C₂²	semidirect
131. #16811180	C₂²	semidirect
132. #16811179	C₂²	semidirect
133. #16811178	C₂²	semidirect
134. #16811178	C₂²	semidirect
135. #16811177	C₂²	semidirect
136. #16811177	C₂²	semidirect
137. #16811176	C₂²	semidirect
138. #16811175	C₂²	semidirect
139. #16811175	C₂²	semidirect
140. C₄⋊Q₈×D₅₃	C₂²	semidirect
141. C₄⋊Q₈×D₅₃	C₂²	semidirect
142. #16811160	C₂²	semidirect
143. #16811160	C₂²	semidirect
144. #16811159	C₂²	semidirect
145. #16811159	C₂²	semidirect
146. #16811158	C₂²	semidirect
147. #16811158	C₂²	semidirect
148. #16811157	C₂²	semidirect
149. #16811157	C₂²	semidirect
150. #16811156	C₂²	semidirect
151. #16811156	C₂²	semidirect
152. #16811156	C₂²	semidirect
153. #16811155	C₂²	semidirect
154. #16811155	C₂²	semidirect
155. #16811154	C₂²	semidirect
156. #16811154	C₂²	semidirect
157. #16811153	C₂²	semidirect
158. #16811153	C₂²	semidirect
159. #16811153	C₂²	semidirect
160. #16811152	C₂²	semidirect
161. #16811152	C₂²	semidirect
162. #16811151	C₂²	semidirect
163. #16811151	C₂²	semidirect
164. #16811151	C₂²	semidirect
165. #16811150	C₂²	semidirect
166. #16811150	C₂²	semidirect
167. #16811150	C₂²	semidirect
168. #126×D₅₃	C₂²	semidirect
169. #126×D₅₃	C₂²	semidirect
170. #126×D₅₃	C₂²	semidirect
171. #125×D₅₃	C₂²	semidirect
172. #125×D₅₃	C₂²	semidirect
173. #125×D₅₃	C₂²	semidirect
175. #124×D₅₃	C₂²	semidirect
176. #16811136	C₂²	semidirect
177. #16811136	C₂²	semidirect
178. #16811135	C₂²	semidirect
179. #16811134	C₂²	semidirect
180. #16811133	C₂²	semidirect
181. #16811133	C₂²	semidirect
182. #16811132	C₂²	semidirect
183. #16811132	C₂²	semidirect
184. #16811131	C₂²	semidirect
185. #16811130	C₂²	semidirect
186. #16811129	C₂²	semidirect
189. #123×D₅₃	C₂²	semidirect
190. #123×D₅₃	C₂²	semidirect
193. C₂²⋊Q₈×D₅₃	C₂²	semidirect
194. C₂²⋊Q₈×D₅₃	C₂²	semidirect
195. C₂²⋊Q₈×D₅₃	C₂²	semidirect
196. C₂²⋊Q₈×D₅₃	C₂²	semidirect
199. #121×D₅₃	C₂²	semidirect
200. #121×D₅₃	C₂²	semidirect
202. #41×Dic₅₃	C₂²	semidirect
203. #41×Dic₅₃	C₂²	semidirect
204. C₄×#11719949	C₂²	semidirect
205. C₄×#11719949	C₂²	semidirect
206. C₄×#11719949	C₂²	semidirect
207. C₄×#11719949	C₂²	semidirect
208. C₄×#11719945	C₂²	semidirect
209. C₄×#11719945	C₂²	semidirect
210. C₄×#11719945	C₂²	semidirect
211. C₄×#11719945	C₂²	semidirect
212. #16811091	C₂²	semidirect
213. #16811091	C₂²	semidirect
214. #16811091	C₂²	semidirect
215. #16811091	C₂²	semidirect
216. C₄×#11719947	C₂²	semidirect
217. C₄×#11719947	C₂²	semidirect
218. C₄×#11719947	C₂²	semidirect
219. C₄×#11719947	C₂²	semidirect
220. C₄×#11719947	C₂²	semidirect
221. C₄×#11719947	C₂²	semidirect
222. C₄×#11719947	C₂²	semidirect
223. C₄×#11719947	C₂²	semidirect
224. C₄×Q₈×D₅₃	C₂²	semidirect
225. C₄×Q₈×D₅₃	C₂²	semidirect
226. C₄×Q₈×D₅₃	C₂²	semidirect
227. C₄×Q₈×D₅₃	C₂²	semidirect
228. C₄×Q₈×D₅₃	C₂²	semidirect
229. C₂×C₄×D₂₁₂	C₂²	semidirect
230. C₂×D₄×Dic₅₃	C₂²	semidirect
231. C₂×#13133179	C₂²	semidirect
232. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
233. C₂×#13133177	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. C₄×D₄×D₅₃	C₂²	semidirect
248. C₄×D₄×D₅₃	C₂²	semidirect
249. C₄×D₄×D₅₃	C₂²	semidirect
250. C₄×D₄×D₅₃	C₂²	semidirect
251. C₄×D₄×D₅₃	C₂²	semidirect
252. C₄×D₄×D₅₃	C₂²	semidirect
253. C₄×D₄×D₅₃	C₂²	semidirect
254. C₂×#13133176	C₂²	semidirect
255. C₂×#13133175	C₂²	semidirect
256. C₂×#13133175	C₂²	semidirect
257. C₂×#13133174	C₂²	semidirect
258. C₂×#13133173	C₂²	semidirect
262. #117×D₅₃	C₂²	semidirect
263. #117×D₅₃	C₂²	semidirect
264. #117×D₅₃	C₂²	semidirect
265. #117×D₅₃	C₂²	semidirect
266. #117×D₅₃	C₂²	semidirect
267. #117×D₅₃	C₂²	semidirect
268. #117×D₅₃	C₂²	semidirect
269. #117×D₅₃	C₂²	semidirect
270. #117×D₅₃	C₂²	semidirect
271. #117×D₅₃	C₂²	semidirect
272. #117×D₅₃	C₂²	semidirect
273. #117×D₅₃	C₂²	semidirect
275. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
276. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
280. C₂×C₄²×D₅₃	C₂²	semidirect
281. C₂×C₄²×D₅₃	C₂²	semidirect
282. C₅₃×#556	C₂²	semidirect
283. C₅₃×#555	C₂²	semidirect
284. C₅₃×#554	C₂²	semidirect
285. C₅₃×#553	C₂²	semidirect
286. C₅₃×#552	C₂²	semidirect
287. C₅₃×#552	C₂²	semidirect
288. C₅₃×#551	C₂²	semidirect
289. C₅₃×#547	C₂²	semidirect
290. C₅₃×#546	C₂²	semidirect
291. C₅₃×#533	C₂²	semidirect
292. C₅₃×#529	C₂²	semidirect
293. C₅₃×#529	C₂²	semidirect
294. C₅₃×#525	C₂²	semidirect
295. C₄×#41×C₅₃	C₂²	semidirect
296. C₄×#41×C₅₃	C₂²	semidirect
297. C₂×C₄×D₄×C₅₃	C₂²	semidirect
298. C₂×#117×C₅₃	C₂²	semidirect
349. #13133217	C₂³	semidirect
350. #13133217	C₂³	semidirect
351. #13133216	C₂³	semidirect
352. #13133216	C₂³	semidirect
353. #13133216	C₂³	semidirect
354. #13133216	C₂³	semidirect
355. #13133215	C₂³	semidirect
356. #13133215	C₂³	semidirect
357. #13133212	C₂³	semidirect
358. #13133212	C₂³	semidirect
359. #13133212	C₂³	semidirect
360. #13133212	C₂³	semidirect
361. #13133212	C₂³	semidirect
362. #13133212	C₂³	semidirect
363. #13133212	C₂³	semidirect
364. #13133212	C₂³	semidirect
365. #13133212	C₂³	semidirect
366. #13133211	C₂³	semidirect
367. #13133211	C₂³	semidirect
368. #13133211	C₂³	semidirect
369. #13133210	C₂³	semidirect
370. #13133210	C₂³	semidirect
371. #13133210	C₂³	semidirect
372. #13133210	C₂³	semidirect
373. #13133210	C₂³	semidirect
374. #13133210	C₂³	semidirect
375. #13133210	C₂³	semidirect
376. #13133210	C₂³	semidirect
377. #13133210	C₂³	semidirect
378. #13133209	C₂³	semidirect
379. #13133209	C₂³	semidirect
380. #13133209	C₂³	semidirect
381. #13133208	C₂³	semidirect
382. #13133208	C₂³	semidirect
383. #13133208	C₂³	semidirect
384. #13133208	C₂³	semidirect
385. #13133208	C₂³	semidirect
386. #13133208	C₂³	semidirect
387. #13133207	C₂³	semidirect
388. #13133207	C₂³	semidirect
389. #13133207	C₂³	semidirect
390. #13133207	C₂³	semidirect
391. #13133207	C₂³	semidirect
392. #13133207	C₂³	semidirect
393. #13133207	C₂³	semidirect
394. #13133207	C₂³	semidirect
396. #13133206	C₂³	semidirect
398. #13133205	C₂³	semidirect
400. #13133204	C₂³	semidirect
403. #13133203	C₂³	semidirect
404. #13133203	C₂³	semidirect
405. #13133203	C₂³	semidirect
406. #13133203	C₂³	semidirect
411. #13133202	C₂³	semidirect
412. #13133202	C₂³	semidirect
413. #13133202	C₂³	semidirect
414. #13133202	C₂³	semidirect
417. #13133201	C₂³	semidirect
418. #13133201	C₂³	semidirect
421. #13133200	C₂³	semidirect
422. #13133200	C₂³	semidirect
427. #13133199	C₂³	semidirect
428. #13133199	C₂³	semidirect
429. #13133199	C₂³	semidirect
430. #13133199	C₂³	semidirect
433. #13133198	C₂³	semidirect
434. #13133198	C₂³	semidirect
437. #13133197	C₂³	semidirect
438. #13133197	C₂³	semidirect
439. #13133197	C₂³	semidirect
440. #13133197	C₂³	semidirect
443. #13133196	C₂³	semidirect
444. #13133196	C₂³	semidirect
445. #13133196	C₂³	semidirect
446. #13133196	C₂³	semidirect
449. #13133195	C₂³	semidirect
450. #13133195	C₂³	semidirect
451. #13133195	C₂³	semidirect
452. #13133195	C₂³	semidirect
453. #13133195	C₂³	semidirect
456. #13133194	C₂³	semidirect
457. #13133194	C₂³	semidirect
458. #13133194	C₂³	semidirect
459. #13133194	C₂³	semidirect
460. #13133194	C₂³	semidirect
463. #13133193	C₂³	semidirect
464. #13133193	C₂³	semidirect
465. #13133193	C₂³	semidirect
466. #13133193	C₂³	semidirect
469. #13133192	C₂³	semidirect
470. #13133192	C₂³	semidirect
473. #13133191	C₂³	semidirect
474. #13133191	C₂³	semidirect
478. #13133190	C₂³	semidirect
479. #13133190	C₂³	semidirect
483. #13133189	C₂³	semidirect
484. #13133189	C₂³	semidirect
487. #13133188	C₂³	semidirect
488. #13133188	C₂³	semidirect
496. Q₈×Dic₅₃	C₂³	semidirect
497. Q₈×Dic₅₃	C₂³	semidirect
498. Q₈×Dic₅₃	C₂³	semidirect
499. Q₈×Dic₅₃	C₂³	semidirect
500. Q₈×Dic₅₃	C₂³	semidirect
501. C₄×Dic₁₀₆	C₂³	semidirect
502. C₄×Dic₁₀₆	C₂³	semidirect
503. C₄×Dic₁₀₆	C₂³	semidirect
504. C₄×Dic₁₀₆	C₂³	semidirect
505. C₄×Dic₁₀₆	C₂³	semidirect
506. C₄×Dic₁₀₆	C₂³	semidirect
507. C₄×Dic₁₀₆	C₂³	semidirect
508. C₄×Dic₁₀₆	C₂³	semidirect
509. C₄×Dic₁₀₆	C₂³	semidirect
510. C₄×Dic₁₀₆	C₂³	semidirect
511. #13133182	C₂³	semidirect
512. #13133182	C₂³	semidirect
513. #13133182	C₂³	semidirect
514. #13133182	C₂³	semidirect
515. #13133182	C₂³	semidirect
516. #13133182	C₂³	semidirect
517. #13133182	C₂³	semidirect
518. #13133182	C₂³	semidirect
519. #13133182	C₂³	semidirect
520. #13133182	C₂³	semidirect
530. C₄×D₂₁₂	C₂³	semidirect
531. C₄×D₂₁₂	C₂³	semidirect
532. C₄×D₂₁₂	C₂³	semidirect
533. C₄×D₂₁₂	C₂³	semidirect
534. C₄×D₂₁₂	C₂³	semidirect
544. D₄×Dic₅₃	C₂³	semidirect
545. D₄×Dic₅₃	C₂³	semidirect
546. D₄×Dic₅₃	C₂³	semidirect
547. D₄×Dic₅₃	C₂³	semidirect
548. D₄×Dic₅₃	C₂³	semidirect
558. #13133179	C₂³	semidirect
559. #13133179	C₂³	semidirect
560. #13133179	C₂³	semidirect
561. #13133179	C₂³	semidirect
562. #13133179	C₂³	semidirect
576. C₄×C₂²⋊D₅₃	C₂³	semidirect
577. C₄×C₂²⋊D₅₃	C₂³	semidirect
578. C₄×C₂²⋊D₅₃	C₂³	semidirect
579. C₄×C₂²⋊D₅₃	C₂³	semidirect
580. C₄×C₂²⋊D₅₃	C₂³	semidirect
581. C₄×C₂²⋊D₅₃	C₂³	semidirect
582. C₄×C₂²⋊D₅₃	C₂³	semidirect
583. C₄×C₂²⋊D₅₃	C₂³	semidirect
597. #13133177	C₂³	semidirect
598. #13133177	C₂³	semidirect
599. #13133177	C₂³	semidirect
600. #13133177	C₂³	semidirect
601. #13133177	C₂³	semidirect
602. #13133177	C₂³	semidirect
603. #13133177	C₂³	semidirect
604. #13133177	C₂³	semidirect
608. #13133176	C₂³	semidirect
609. #13133176	C₂³	semidirect
610. #13133176	C₂³	semidirect
611. #13133176	C₂³	semidirect
612. #13133176	C₂³	semidirect
613. #13133176	C₂³	semidirect
620. #13133175	C₂³	semidirect
621. #13133175	C₂³	semidirect
622. #13133175	C₂³	semidirect
623. #13133175	C₂³	semidirect
624. #13133175	C₂³	semidirect
625. #13133175	C₂³	semidirect
626. #13133175	C₂³	semidirect
627. #13133175	C₂³	semidirect
628. #13133175	C₂³	semidirect
629. #13133175	C₂³	semidirect
630. #13133175	C₂³	semidirect
631. #13133175	C₂³	semidirect
636. #13133174	C₂³	semidirect
637. #13133174	C₂³	semidirect
638. #13133174	C₂³	semidirect
639. #13133174	C₂³	semidirect
640. #13133174	C₂³	semidirect
641. #13133174	C₂³	semidirect
642. #13133174	C₂³	semidirect
643. #13133174	C₂³	semidirect
644. #13133174	C₂³	semidirect
649. #13133173	C₂³	semidirect
650. #13133173	C₂³	semidirect
651. #13133173	C₂³	semidirect
652. #13133173	C₂³	semidirect
653. #13133173	C₂³	semidirect
654. #13133173	C₂³	semidirect
655. #13133173	C₂³	semidirect
656. #13133173	C₂³	semidirect
657. #13133173	C₂³	semidirect
659. C₂×C₄⋊Dic₅₃	C₂³	semidirect
660. C₂×C₄⋊Dic₅₃	C₂³	semidirect
662. C₂×#11719919	C₂³	semidirect
663. C₂×#11719919	C₂³	semidirect
684. C₄⋊C₄×D₅₃	C₂³	semidirect
685. C₄⋊C₄×D₅₃	C₂³	semidirect
686. C₄⋊C₄×D₅₃	C₂³	semidirect
687. C₄⋊C₄×D₅₃	C₂³	semidirect
688. C₄⋊C₄×D₅₃	C₂³	semidirect
689. C₄⋊C₄×D₅₃	C₂³	semidirect
721. C₂×C₄×Dic₅₃	C₂³	semidirect
722. C₂×C₄×Dic₅₃	C₂³	semidirect
723. C₂×C₄×Dic₅₃	C₂³	semidirect
724. C₂×C₄×Dic₅₃	C₂³	semidirect
725. C₂×C₄×Dic₅₃	C₂³	semidirect
726. C₂×C₄×Dic₅₃	C₂³	semidirect
741. C₄²×D₅₃	C₂³	semidirect
742. C₄²×D₅₃	C₂³	semidirect
743. C₄²×D₅₃	C₂³	semidirect
744. C₄²×D₅₃	C₂³	semidirect
745. C₄²×D₅₃	C₂³	semidirect
746. C₄²×D₅₃	C₂³	semidirect
747. C₄²×D₅₃	C₂³	semidirect
748. C₄²×D₅₃	C₂³	semidirect
753. C₄⋊Q₈×C₅₃	C₂³	semidirect
754. C₄⋊Q₈×C₅₃	C₂³	semidirect
755. #126×C₅₃	C₂³	semidirect
756. #126×C₅₃	C₂³	semidirect
757. #126×C₅₃	C₂³	semidirect
758. #125×C₅₃	C₂³	semidirect
759. #125×C₅₃	C₂³	semidirect
760. #125×C₅₃	C₂³	semidirect
762. #124×C₅₃	C₂³	semidirect
765. #123×C₅₃	C₂³	semidirect
766. #123×C₅₃	C₂³	semidirect
769. C₂²⋊Q₈×C₅₃	C₂³	semidirect
770. C₂²⋊Q₈×C₅₃	C₂³	semidirect
771. C₂²⋊Q₈×C₅₃	C₂³	semidirect
772. C₂²⋊Q₈×C₅₃	C₂³	semidirect
775. #121×C₅₃	C₂³	semidirect
776. #121×C₅₃	C₂³	semidirect
778. C₄×Q₈×C₅₃	C₂³	semidirect
779. C₄×Q₈×C₅₃	C₂³	semidirect
780. C₄×Q₈×C₅₃	C₂³	semidirect
781. C₄×Q₈×C₅₃	C₂³	semidirect
782. C₄×Q₈×C₅₃	C₂³	semidirect
792. C₄×D₄×C₅₃	C₂³	semidirect
793. C₄×D₄×C₅₃	C₂³	semidirect
794. C₄×D₄×C₅₃	C₂³	semidirect
795. C₄×D₄×C₅₃	C₂³	semidirect
796. C₄×D₄×C₅₃	C₂³	semidirect
800. #117×C₅₃	C₂³	semidirect
801. #117×C₅₃	C₂³	semidirect
802. #117×C₅₃	C₂³	semidirect
803. #117×C₅₃	C₂³	semidirect
804. #117×C₅₃	C₂³	semidirect
805. #117×C₅₃	C₂³	semidirect
807. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
808. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
812. C₂×C₄²×C₅₃	C₂³	semidirect
813. C₂×C₄²×C₅₃	C₂³	semidirect
896. D₄×D₅₃	#41	semidirect
927. C₂×C₄×D₅₃	#41	semidirect
1172. D₄×C₅₃	C₂×#41	semidirect
1185. C₂×C₄×C₅₃	C₂×#41	semidirect
1209. C₂²⋊D₅₃	C₂×#41	semidirect
1222. C₂×Dic₅₃	C₂×#41	semidirect
1242. D₂₁₂	C₂×#41	semidirect
1280. C₄×D₅₃	C₂×#41	semidirect
1281. C₄×D₅₃	C₂×#41	semidirect
1368. #3475	D₅₃	direct (N × H)
1397. D₅₃	#3475	direct (N × H)
1410. #556	C₂×D₅₃	semidirect
1419. #555	C₂×D₅₃	semidirect
1428. #554	C₂×D₅₃	semidirect
1440. #553	C₂×D₅₃	semidirect
1463. #552	C₂×D₅₃	semidirect
1464. #552	C₂×D₅₃	semidirect
1480. #551	C₂×D₅₃	semidirect
1489. #547	C₂×D₅₃	semidirect
1501. #546	C₂×D₅₃	semidirect
1511. #533	C₂×D₅₃	semidirect
1540. #529	C₂×D₅₃	semidirect
1541. #529	C₂×D₅₃	semidirect
1561. #525	C₂×D₅₃	semidirect
1599. C₄×#41	C₂×D₅₃	semidirect
1600. C₄×#41	C₂×D₅₃	semidirect
1631. C₂×C₄×D₄	C₂×D₅₃	semidirect
1652. C₂×#117	C₂×D₅₃	semidirect
1661. C₅₃	C₂×#3475	semidirect
1724. C₄⋊Q₈	C₂²×D₅₃	semidirect
1725. C₄⋊Q₈	C₂²×D₅₃	semidirect
1747. #126	C₂²×D₅₃	semidirect
1748. #126	C₂²×D₅₃	semidirect
1749. #126	C₂²×D₅₃	semidirect
1767. #125	C₂²×D₅₃	semidirect
1768. #125	C₂²×D₅₃	semidirect
1769. #125	C₂²×D₅₃	semidirect
1783. #124	C₂²×D₅₃	semidirect
1814. #123	C₂²×D₅₃	semidirect
1815. #123	C₂²×D₅₃	semidirect
1850. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1851. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1852. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1853. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1878. #121	C₂²×D₅₃	semidirect
1879. #121	C₂²×D₅₃	semidirect
1913. C₄×Q₈	C₂²×D₅₃	semidirect
1914. C₄×Q₈	C₂²×D₅₃	semidirect
1915. C₄×Q₈	C₂²×D₅₃	semidirect
1916. C₄×Q₈	C₂²×D₅₃	semidirect
1917. C₄×Q₈	C₂²×D₅₃	semidirect
2011. C₄×D₄	C₂²×D₅₃	semidirect
2012. C₄×D₄	C₂²×D₅₃	semidirect
2013. C₄×D₄	C₂²×D₅₃	semidirect
2014. C₄×D₄	C₂²×D₅₃	semidirect
2015. C₄×D₄	C₂²×D₅₃	semidirect
2072. #117	C₂²×D₅₃	semidirect
2073. #117	C₂²×D₅₃	semidirect
2074. #117	C₂²×D₅₃	semidirect
2075. #117	C₂²×D₅₃	semidirect
2076. #117	C₂²×D₅₃	semidirect
2077. #117	C₂²×D₅₃	semidirect
2111. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2112. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2175. C₂×C₄²	C₂²×D₅₃	semidirect
2176. C₂×C₄²	C₂²×D₅₃	semidirect
2559. D₄	#41×D₅₃	semidirect
2637. C₂×C₄	#41×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20288282	2
#20288281	2
#20288280	2
#20288279	2
#20288278	2
#20288277	2
#20288276	2
#20288275	2
#20288274	2
#20288273	2
#20288272	2
#20288271	2
#20288270	2
#20288269	2
#20288268	2
#20288267	2
#20288266	2
#556×D₅₃	2
#555×D₅₃	2
#554×D₅₃	2
#553×D₅₃	2
#552×D₅₃	2
#551×D₅₃	2
#547×D₅₃	2
#546×D₅₃	2
#533×D₅₃	2
#529×D₅₃	2
#525×D₅₃	2
C₄×#41×D₅₃	2
C₂×C₄×D₄×D₅₃	2
C₂×#117×D₅₃	2
C₅₃×#3475	2
C₂×#3475	53

Subgroups — D53×#3475 #28291115

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3475 #28291115