Subgroups — #28329142

Order 13568.

1924 conjugacy classes of subgroups.

The subgroup lattice has 1906 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291261	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291257	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291257	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291255	C₂	1	1	yes	maximal, characteristic
5	#20291253	C₂	1	1	yes	maximal, characteristic
6	#20291252	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291252	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291250	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291249	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291235	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291232	C₂	1	1	yes	maximal, characteristic
12	#20291226	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291225	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291224	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291222	C₂	1	1	yes	maximal, characteristic, complemented
16	#20291215	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291215	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291214	C₂	1	1	yes	maximal, characteristic
19	#20291214	C₂	1	1	yes	maximal, characteristic
20	#20291213	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291211	C₂	1	1	yes	maximal, characteristic, complemented
22	#20291209	C₂	1	1	yes	maximal, characteristic, complemented
23	#20291208	C₂	1	1	yes	maximal, characteristic, complemented
24	#20291198	C₂	1	1	yes	maximal, characteristic
25	#20291193	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291193	C₂	1	1	yes	maximal, characteristic, complemented
27	#20291192	C₂	1	1	yes	maximal, characteristic, complemented
28	#126×#6157	C₂	1	1	yes	maximal, characteristic, complemented
29	#20291177	C₂	1	1	yes	maximal, characteristic, complemented
30	#20291174	C₂	1	1	yes	maximal, characteristic, complemented
31	#552×D₅₃	C₂	1	1	yes	maximal, characteristic
32	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
33	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
34	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
35	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
36	#16811575	C₂²	1	1	yes	characteristic
37	#16811575	C₂²	1	1	yes	characteristic
38	#16811574	C₂²	1	1	yes	characteristic
39	#16811574	C₂²	1	1	yes	characteristic
40	#16811574	C₂²	1	1	yes	characteristic
41	#16811574	C₂²	1	1	yes	characteristic
42	#16811574	C₂²	1	1	yes	characteristic
43	#16811574	C₂²	1	1	yes	characteristic
44	#16811574	C₂²	1	1	yes	characteristic
45	#16811574	C₂²	1	1	yes	characteristic
46	#16811574	C₂²	1	1	yes	characteristic
47	#16811574	C₂²	1	1	yes	characteristic
48	#16811574	C₂²	1	1	yes	characteristic
49	#16811574	C₂²	1	1	yes	characteristic
50	#16811574	C₂²	1	1	yes	characteristic
51	#16811574	C₂²	1	1	yes	characteristic
52	#16811573	C₂²	1	1	yes	characteristic
53	#16811573	C₂²	1	1	yes	characteristic
54	#16811573	C₂²	1	1	yes	characteristic
55	#16811573	C₂²	1	1	yes	characteristic
56	#16811573	C₂²	1	1	yes	characteristic
57	#16811573	C₂²	1	1	yes	characteristic
58	#16811573	C₂²	1	1	yes	characteristic
59	#16811573	C₂²	1	1	yes	characteristic
60	#16811573	C₂²	1	1	yes	characteristic
61	#16811573	C₂²	1	1	yes	characteristic
62	#16811573	C₂²	1	1	yes	characteristic
63	#16811573	C₂²	1	1	yes	characteristic
64	#16811573	C₂²	1	1	yes	characteristic
65	#16811573	C₂²	1	1	yes	characteristic
66	#16811573	C₂²	1	1	yes	characteristic
67	#16811573	C₂²	1	1	yes	characteristic
68	#16811573	C₂²	1	1	yes	characteristic
69	#16811573	C₂²	1	1	yes	characteristic
70	#16811573	C₂²	1	1	yes	characteristic
71	#16811573	C₂²	1	1	yes	characteristic
72	#16811573	C₂²	1	1	yes	characteristic
73	#16811573	C₂²	1	1	yes	characteristic
74	#16811572	C₂²	1	1	yes	characteristic
75	#16811572	C₂²	1	1	yes	characteristic
76	#16811572	C₂²	1	1	yes	characteristic
77	#16811572	C₂²	1	1	yes	characteristic
78	#16811572	C₂²	1	1	yes	characteristic
79	#16811572	C₂²	1	1	yes	characteristic
80	#16811572	C₂²	1	1	yes	characteristic
81	#16811572	C₂²	1	1	yes	characteristic
82	#16811572	C₂²	1	1	yes	characteristic
83	#16811572	C₂²	1	1	yes	characteristic
84	#16811572	C₂²	1	1	yes	characteristic
85	#16811572	C₂²	1	1	yes	characteristic
86	#16811572	C₂²	1	1	yes	characteristic
87	#16811572	C₂²	1	1	yes	characteristic
88	#16811572	C₂²	1	1	yes	characteristic
89	#16811572	C₂²	1	1	yes	characteristic
90	#16811572	C₂²	1	1	yes	characteristic
91	#16811572	C₂²	1	1	yes	characteristic
92	#16811572	C₂²	1	1	yes	characteristic
93	#16811572	C₂²	1	1	yes	characteristic
94	#16811572	C₂²	1	1	yes	characteristic
95	#16811572	C₂²	1	1	yes	characteristic
96	#16811572	C₂²	1	1	yes	characteristic
97	#16811572	C₂²	1	1	yes	characteristic
98	#16811572	C₂²	1	1	yes	characteristic
99	#16811572	C₂²	1	1	yes	characteristic
100	#16811572	C₂²	1	1	yes	characteristic
101	#16811572	C₂²	1	1	yes	characteristic
102	#16811572	C₂²	1	1	yes	characteristic
103	#16811572	C₂²	1	1	yes	characteristic
104	#16811572	C₂²	1	1	yes	characteristic
105	#16811572	C₂²	1	1	yes	characteristic
106	#16811572	C₂²	1	1	yes	characteristic
107	#16811572	C₂²	1	1	yes	characteristic
108	#16811572	C₂²	1	1	yes	characteristic
109	#16811572	C₂²	1	1	yes	characteristic
110	#16811572	C₂²	1	1	yes	characteristic
111	#16811572	C₂²	1	1	yes	characteristic
112	#16811571	C₂²	1	1	yes	characteristic
113	#16811571	C₂²	1	1	yes	characteristic
114	#16811570	C₂²	1	1	yes	characteristic
115	#16811570	C₂²	1	1	yes	characteristic
116	#16811570	C₂²	1	1	yes	characteristic
117	#16811570	C₂²	1	1	yes	characteristic
118	#16811569	C₂²	1	1	yes	characteristic
119	#16811568	C₂²	1	1	yes	characteristic
120	#16811568	C₂²	1	1	yes	characteristic
121	#16811568	C₂²	1	1	yes	characteristic
122	#16811567	C₂²	1	1	yes	characteristic
123	#16811567	C₂²	1	1	yes	characteristic
124	#16811567	C₂²	1	1	yes	characteristic
125	#16811566	C₂²	1	1	yes	characteristic
126	#16811566	C₂²	1	1	yes	characteristic
127	#16811566	C₂²	1	1	yes	characteristic
128	#16811565	C₂²	1	1	yes	characteristic
129	#16811565	C₂²	1	1	yes	characteristic
130	#16811565	C₂²	1	1	yes	characteristic
131	#16811565	C₂²	1	1	yes	characteristic
132	#16811565	C₂²	1	1	yes	characteristic
133	#16811565	C₂²	1	1	yes	characteristic
134	#16811565	C₂²	1	1	yes	characteristic
135	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
136	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
137	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
138	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
139	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
140	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
147	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
148	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
149	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
150	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
151	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
152	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
153	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
155	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
160	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
161	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
162	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
165	#16811559	C₂²	1	1	yes	characteristic
166	#16811559	C₂²	1	1	yes	characteristic
167	#16811559	C₂²	1	1	yes	characteristic
168	#16811559	C₂²	1	1	yes	characteristic
169	#16811559	C₂²	1	1	yes	characteristic
170	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
171	C₄²×#6157	C₂²	1	1	yes	characteristic
172	#16811315	C₄	1	1	yes	characteristic, complemented
173	#16811314	C₄	1	1	yes	characteristic, complemented
174	#16811313	C₄	1	1	yes	characteristic, complemented
175	#16811312	C₄	1	1	yes	characteristic, complemented
176	#16811311	C₄	1	1	yes	characteristic, complemented
177	#16811310	C₄	1	1	yes	characteristic, complemented
178	#16811310	C₄	1	1	yes	characteristic, complemented
179	#16811309	C₄	1	1	yes	characteristic, complemented
180	#16811309	C₄	1	1	yes	characteristic, complemented
181	#16811308	C₄	1	1	yes	characteristic, complemented
182	#16811307	C₄	1	1	yes	characteristic, complemented
183	#16811306	C₄	1	1	yes	characteristic, complemented
184	#16811306	C₄	1	1	yes	characteristic, complemented
185	#16811305	C₄	1	1	yes	characteristic, complemented
186	#16811305	C₄	1	1	yes	characteristic, complemented
187	#126×D₅₃	C₂²	1	1	yes	characteristic
188	#126×D₅₃	C₂²	1	1	yes	characteristic
189	#125×D₅₃	C₂²	1	1	yes	characteristic
190	#125×D₅₃	C₂²	1	1	yes	characteristic
191	#125×D₅₃	C₂²	1	1	yes	characteristic
192	#123×D₅₃	C₂²	1	1	yes	characteristic
193	#123×D₅₃	C₂²	1	1	yes	characteristic
194	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
195	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
196	C₄×Q₈×D₅₃	C₂²	1	1	yes	characteristic
197	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
198	#117×D₅₃	C₂²	1	1	yes	characteristic
199	#117×D₅₃	C₂²	1	1	yes	characteristic
200	#117×D₅₃	C₂²	1	1	yes	characteristic
201	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
202	C₅₃×#552	C₄	1	1	yes	characteristic, complemented
203	C₂³×#6157	C₂³	1	1	yes	characteristic
204	C₂³×#6157	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
243	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
244	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
245	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
246	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
247	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
248	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
249	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
250	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
251	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
252	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
253	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
254	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
255	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
256	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
257	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
258	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
259	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
260	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
261	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
262	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
263	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
264	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
265	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
266	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
267	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
268	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
269	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
270	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
271	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
272	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
273	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
274	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
275	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
276	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
277	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
278	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
279	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
280	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
281	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
282	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
283	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
284	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
285	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
286	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
287	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
288	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
289	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
290	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
291	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
292	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
293	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
294	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
295	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
318	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
319	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
320	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
321	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
322	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
324	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
325	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
326	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
327	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
328	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
329	#13133212	C₂×C₄	1	1	yes	characteristic
330	#13133212	C₂×C₄	1	1	yes	characteristic
331	#13133212	C₂×C₄	1	1	yes	characteristic
332	#13133212	C₂×C₄	1	1	yes	characteristic
333	#13133212	C₂×C₄	1	1	yes	characteristic
334	#13133212	C₂×C₄	1	1	yes	characteristic
335	#13133211	C₂×C₄	1	1	yes	characteristic
336	#13133211	C₂×C₄	1	1	yes	characteristic
337	#13133210	C₂×C₄	1	1	yes	characteristic
338	#13133210	C₂×C₄	1	1	yes	characteristic
339	#13133210	C₂×C₄	1	1	yes	characteristic
340	#13133210	C₂×C₄	1	1	yes	characteristic
341	#13133210	C₂×C₄	1	1	yes	characteristic
342	#13133210	C₂×C₄	1	1	yes	characteristic
343	#13133209	C₂×C₄	1	1	yes	characteristic, complemented
344	#13133209	C₂×C₄	1	1	yes	characteristic, complemented
345	#13133209	C₂×C₄	1	1	yes	characteristic, complemented
346	#13133208	C₂×C₄	1	1	yes	characteristic, complemented
347	#13133208	C₂×C₄	1	1	yes	characteristic, complemented
348	#13133208	C₂×C₄	1	1	yes	characteristic, complemented
349	#13133208	C₂×C₄	1	1	yes	characteristic, complemented
350	#13133208	C₂×C₄	1	1	yes	characteristic, complemented
351	#13133208	C₂×C₄	1	1	yes	characteristic, complemented
352	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
353	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
354	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
355	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
356	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
357	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
358	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
359	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
360	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
361	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
362	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
363	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
364	#13133202	C₂×C₄	1	1	yes	characteristic
365	#13133202	C₂×C₄	1	1	yes	characteristic
366	#13133202	C₂×C₄	1	1	yes	characteristic
367	#13133202	C₂×C₄	1	1	yes	characteristic
368	#13133201	C₂×C₄	1	1	yes	characteristic
369	#13133201	C₂×C₄	1	1	yes	characteristic
370	#13133200	C₂×C₄	1	1	yes	characteristic
371	#13133200	C₂×C₄	1	1	yes	characteristic
372	#13133199	C₂×C₄	1	1	yes	characteristic
373	#13133199	C₂×C₄	1	1	yes	characteristic
374	#13133199	C₂×C₄	1	1	yes	characteristic
375	#13133199	C₂×C₄	1	1	yes	characteristic
376	#13133198	C₂×C₄	1	1	yes	characteristic
377	#13133198	C₂×C₄	1	1	yes	characteristic
378	#13133197	C₂×C₄	1	1	yes	characteristic
379	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
380	#13133196	C₂×C₄	1	1	yes	characteristic
381	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
382	#13133195	C₂×C₄	1	1	yes	characteristic
383	#13133195	C₂×C₄	1	1	yes	characteristic
384	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
385	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
386	#13133194	C₂×C₄	1	1	yes	characteristic
387	#13133194	C₂×C₄	1	1	yes	characteristic
388	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
389	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
390	#13133193	C₂×C₄	1	1	yes	characteristic
391	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
392	Q₈×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
393	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic, complemented
394	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic, complemented
395	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic, complemented
396	#13133182	C₂×C₄	1	1	yes	characteristic, complemented
397	#13133182	C₂×C₄	1	1	yes	characteristic, complemented
398	#13133182	C₂×C₄	1	1	yes	characteristic, complemented
399	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic
400	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic
401	#13133179	C₂×C₄	1	1	yes	characteristic
402	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
403	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
404	#13133177	C₂×C₄	1	1	yes	characteristic
405	#13133177	C₂×C₄	1	1	yes	characteristic
406	#13133176	C₂×C₄	1	1	yes	characteristic
407	#13133176	C₂×C₄	1	1	yes	characteristic, complemented
408	#13133176	C₂×C₄	1	1	yes	characteristic, complemented
409	#13133175	C₂×C₄	1	1	yes	characteristic
410	#13133175	C₂×C₄	1	1	yes	characteristic
411	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
412	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
413	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
414	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
415	#13133174	C₂×C₄	1	1	yes	characteristic
416	#13133174	C₂×C₄	1	1	yes	characteristic
417	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
418	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
419	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
420	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
421	#13133173	C₂×C₄	1	1	yes	characteristic
422	#13133173	C₂×C₄	1	1	yes	characteristic
423	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
424	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
425	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
426	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
427	C₂×C₄⋊Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
428	C₂×#11719919	C₂×C₄	1	1	yes	characteristic, complemented
429	C₂×#11719919	C₂×C₄	1	1	yes	characteristic, complemented
430	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
431	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
432	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
433	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
434	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
435	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
436	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
437	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
438	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
439	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
440	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
441	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
442	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
443	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
444	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
445	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
446	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
447	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
448	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
449	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
450	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
451	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
452	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
453	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
454	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
455	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
456	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
457	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
458	C₄²×D₅₃	C₂³	1	1	yes	characteristic
459	C₄²×D₅₃	C₂³	1	1	yes	characteristic
460	C₄²×D₅₃	C₂³	1	1	yes	characteristic
461	C₄²×D₅₃	C₂³	1	1	yes	characteristic
462	C₄²×D₅₃	C₂³	1	1	yes	characteristic
463	#126×C₅₃	C₂×C₄	1	1	yes	characteristic
464	#126×C₅₃	C₂×C₄	1	1	yes	characteristic
465	#125×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
466	#125×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
467	#125×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
468	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
469	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
470	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
471	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
472	C₄×Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
473	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic
474	#117×C₅₃	C₂×C₄	1	1	yes	characteristic
475	#117×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
476	#117×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
477	C₂×C₄⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
478	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
479	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
480	C₂²×#6157	—	2	2	no	—
481	C₂²×#6157	—	4	1	no	—
482	C₂²×#6157	—	4	1	no	—
483	C₂²×#6157	—	4	1	no	—
484	C₂²×#6157	—	4	1	no	—
485	C₂²×#6157	—	4	1	no	—
486	C₂²×#6157	C₂⁴	1	1	yes	characteristic
487	C₂²×#6157	C₂⁴	1	1	yes	characteristic
488	C₂²×#6157	C₂⁴	1	1	yes	characteristic
489	C₂²×#6157	C₂⁴	1	1	yes	characteristic
490	C₂²×#6157	C₂⁴	1	1	yes	characteristic
491	C₂²×#6157	C₂⁴	1	1	yes	characteristic
492	C₂²×#6157	C₂⁴	1	1	yes	characteristic
493	C₂²×#6157	C₂⁴	1	1	yes	characteristic
494	C₂²×#6157	C₂⁴	1	1	yes	characteristic
495	C₂²×#6157	C₂⁴	1	1	yes	characteristic
496	C₂²×#6157	C₂⁴	1	1	yes	characteristic
497	C₂²×#6157	C₂⁴	1	1	yes	characteristic
498	C₂²×#6157	C₂⁴	1	1	yes	characteristic
499	C₂²×#6157	C₂⁴	1	1	yes	characteristic
500	C₂²×#6157	C₂⁴	1	1	yes	characteristic
501	C₂²×#6157	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
503	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
504	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
505	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
506	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
507	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
508	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
509	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
510	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
511	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
512	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
513	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
514	Q₈×D₅₃	—	4	1	no	—
515	Q₈×D₅₃	—	4	1	no	—
516	D₄×D₅₃	—	4	1	no	—
517	D₄×D₅₃	—	4	1	no	—
518	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
519	C₂×C₄×D₅₃	—	4	1	no	—
520	C₂×C₄×D₅₃	—	4	1	no	—
521	C₂×C₄×D₅₃	—	4	1	no	—
522	C₂×C₄×D₅₃	—	4	1	no	—
523	C₂×C₄×D₅₃	—	4	1	no	—
524	C₂×C₄×D₅₃	—	4	1	no	—
525	C₂×C₄×D₅₃	—	4	1	no	—
526	C₂×C₄×D₅₃	—	4	1	no	—
527	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
529	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
531	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
536	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
537	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
538	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
539	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
540	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
541	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
542	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
543	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
544	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
545	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
546	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
547	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
548	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
549	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
550	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
551	C₂²⋊#6157	—	2	2	no	—
552	C₂²⋊#6157	—	4	1	no	—
553	C₂²⋊#6157	—	4	1	no	—
554	C₂²⋊#6157	—	4	1	no	—
555	C₂²⋊#6157	—	4	1	no	—
556	C₂²⋊#6157	—	4	1	no	—
557	C₂²⋊#6157	—	4	1	no	—
558	C₂²⋊#6157	—	4	1	no	—
559	C₂²⋊#6157	—	4	1	no	—
560	C₂²⋊#6157	—	4	1	no	—
561	C₂²⋊#6157	—	4	1	no	—
562	C₂²⋊#6157	—	4	1	no	—
563	C₂²⋊#6157	—	4	1	no	—
564	C₂²⋊#6157	—	4	1	no	—
565	C₄⋊#6157	—	2	2	no	—
566	C₄⋊#6157	—	4	1	no	—
567	C₄⋊#6157	—	4	1	no	—
568	C₄⋊#6157	—	4	1	no	—
569	C₄⋊#6157	—	4	1	no	—
570	C₄⋊#6157	—	4	1	no	—
571	C₄⋊#6157	—	4	1	no	—
572	C₄⋊#6157	—	4	1	no	—
573	C₄⋊#6157	—	4	1	no	—
574	C₄⋊#6157	—	4	1	no	—
575	C₄⋊#6157	—	4	1	no	—
576	C₄⋊#6157	—	4	1	no	—
577	C₄⋊#6157	—	4	1	no	—
578	C₄⋊#6157	—	4	1	no	—
579	C₄⋊#6157	—	4	1	no	—
580	C₄⋊#6157	—	4	1	no	—
581	C₄⋊#6157	—	4	1	no	—
582	C₄⋊#6157	—	4	1	no	—
583	C₄⋊#6157	—	4	1	no	—
584	C₄⋊#6157	—	4	1	no	—
585	C₄⋊#6157	—	4	1	no	—
586	C₄⋊#6157	—	4	1	no	—
587	C₄⋊#6157	—	4	1	no	—
588	C₄⋊#6157	—	4	1	no	—
589	C₄×#6157	—	2	2	no	—
590	C₄×#6157	—	2	2	no	—
591	C₄×#6157	—	4	1	no	—
592	C₄×#6157	—	4	1	no	—
593	C₄×#6157	—	4	1	no	—
594	C₄×#6157	—	4	1	no	—
595	C₄×#6157	—	4	1	no	—
596	C₄×#6157	—	4	1	no	—
597	C₄×#6157	—	4	1	no	—
598	C₄×#6157	—	4	1	no	—
599	C₄×#6157	—	4	1	no	—
600	C₄×#6157	—	4	1	no	—
601	C₄×#6157	—	4	1	no	—
602	C₄×#6157	—	4	1	no	—
603	C₄×#6157	—	4	1	no	—
604	C₄×#6157	—	4	1	no	—
605	C₄×#6157	—	4	1	no	—
606	C₄×#6157	—	4	1	no	—
607	C₄×#6157	—	4	1	no	—
608	C₄×#6157	—	4	1	no	—
609	C₄×#6157	—	4	1	no	—
610	C₄×#6157	—	4	1	no	—
611	C₄×#6157	—	4	1	no	—
612	C₄×#6157	—	4	1	no	—
613	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
614	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
615	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
616	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
617	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
618	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
619	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
620	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
621	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
622	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
623	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
624	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
625	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
626	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
627	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
628	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
629	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
630	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
631	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
632	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
633	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
634	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
635	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
636	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
637	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
638	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
639	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
640	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
641	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
642	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
643	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
644	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
645	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
646	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
647	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
648	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
649	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
650	#11719921	C₂²×C₄	1	1	yes	characteristic
651	#11719921	C₂²×C₄	1	1	yes	characteristic
652	#11719921	C₂²×C₄	1	1	yes	characteristic
653	#11719921	C₂²×C₄	1	1	yes	characteristic
654	#11719921	C₂²×C₄	1	1	yes	characteristic
655	#11719921	C₂²×C₄	1	1	yes	characteristic
656	#11719921	C₂²×C₄	1	1	yes	characteristic
657	#11719921	C₂²×C₄	1	1	yes	characteristic
658	#11719921	C₂²×C₄	1	1	yes	characteristic
659	#11719921	C₂²×C₄	1	1	yes	characteristic
660	#11719921	C₂²×C₄	1	1	yes	characteristic
661	#11719921	C₂²×C₄	1	1	yes	characteristic
662	#11719921	C₂²×C₄	1	1	yes	characteristic
663	#11719921	C₂²×C₄	1	1	yes	characteristic
664	#11719921	C₂²×C₄	1	1	yes	characteristic
665	#11719921	C₂²×C₄	1	1	yes	characteristic
666	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
667	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
668	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
669	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
670	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
671	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
672	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
673	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
674	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
675	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
676	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
677	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
678	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
679	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
680	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
681	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
682	#11719919	C₂²×C₄	1	1	yes	characteristic
683	#11719919	C₂²×C₄	1	1	yes	characteristic
684	#11719919	C₂²×C₄	1	1	yes	characteristic
685	#11719919	C₂²×C₄	1	1	yes	characteristic
686	#11719919	C₂²×C₄	1	1	yes	characteristic
687	#11719919	C₂²×C₄	1	1	yes	characteristic
688	#11719919	C₂²×C₄	1	1	yes	characteristic
689	#11719919	C₂²×C₄	1	1	yes	characteristic
690	#11719919	C₂²×C₄	1	1	yes	characteristic
691	#11719919	C₂²×C₄	1	1	yes	characteristic
692	#11719919	C₂²×C₄	1	1	yes	characteristic
693	#11719919	C₂²×C₄	1	1	yes	characteristic
694	#11719919	C₂²×C₄	1	1	yes	characteristic
695	#11719919	C₂²×C₄	1	1	yes	characteristic
696	#11719919	C₂²×C₄	1	1	yes	characteristic
697	#11719919	C₂²×C₄	1	1	yes	characteristic
698	#11719919	C₂²×C₄	1	1	yes	characteristic
699	#11719919	C₂²×C₄	1	1	yes	characteristic
700	#11719919	C₂²×C₄	1	1	yes	characteristic
701	#11719919	C₂²×C₄	1	1	yes	characteristic
702	#11719919	C₂²×C₄	1	1	yes	characteristic
703	#11719919	C₂²×C₄	1	1	yes	characteristic
704	#11719919	C₂²×C₄	1	1	yes	characteristic
705	#11719919	C₂²×C₄	1	1	yes	characteristic
706	#11719919	C₂²×C₄	1	1	yes	characteristic
707	#11719919	C₂²×C₄	1	1	yes	characteristic
708	#11719919	C₂²×C₄	1	1	yes	characteristic
709	#11719919	C₂²×C₄	1	1	yes	characteristic
710	#11719919	C₂²×C₄	1	1	yes	characteristic
711	#11719919	C₂²×C₄	1	1	yes	characteristic
712	#11719919	C₂²×C₄	1	1	yes	characteristic
713	#11719919	C₂²×C₄	1	1	yes	characteristic
714	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
715	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
716	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
717	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
718	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
719	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
720	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
721	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
722	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
723	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
724	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
725	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
726	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
727	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
728	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
729	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
730	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
731	C₂²×D₅₃	—	2	1	no	—
732	C₂²×D₅₃	—	2	1	no	—
733	C₂²×D₅₃	—	2	1	no	—
734	C₂²×D₅₃	—	2	1	no	—
735	C₂²×D₅₃	—	2	1	no	—
736	C₂²×D₅₃	—	2	1	no	—
737	C₂²×D₅₃	—	2	1	no	—
738	C₂²×D₅₃	—	2	1	no	—
739	C₂²×D₅₃	—	2	1	no	—
740	C₂²×D₅₃	—	2	1	no	—
741	C₂²×D₅₃	—	2	1	no	—
742	C₂²×D₅₃	—	2	1	no	—
743	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
744	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
745	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
746	C₂×#6157	—	2	1	no	—
747	C₂×#6157	—	2	1	no	—
748	C₂×#6157	—	2	1	no	—
749	C₂×#6157	—	2	1	no	—
750	C₂×#6157	—	2	1	no	—
751	C₂×#6157	—	2	1	no	—
752	C₂×#6157	—	2	1	no	—
753	C₂×#6157	—	2	1	no	—
754	C₂×#6157	—	2	1	no	—
755	C₂×#6157	—	2	1	no	—
756	C₂×#6157	—	2	1	no	—
757	C₂×#6157	—	2	1	no	—
758	C₂×#6157	—	2	1	no	—
759	C₂×#6157	—	2	1	no	—
760	C₂×#6157	—	2	1	no	—
761	C₂×#6157	—	2	1	no	—
762	C₂×#6157	—	2	1	no	—
763	C₂×#6157	—	2	1	no	—
764	C₂×#6157	—	2	1	no	—
765	C₂×#6157	—	2	1	no	—
766	C₂×#6157	—	2	1	no	—
767	C₂×#6157	—	2	1	no	—
768	C₂×#6157	—	2	1	no	—
769	C₂×#6157	—	2	1	no	—
770	C₂×#6157	—	2	1	no	—
771	C₂×#6157	—	2	1	no	—
772	C₂×#6157	—	2	1	no	—
773	C₂×#6157	—	2	1	no	—
774	C₂×#6157	—	2	1	no	—
775	C₂×#6157	—	2	1	no	—
776	C₂×#6157	—	2	1	no	—
777	C₂×#6157	—	2	1	no	—
778	C₂×#6157	—	2	1	no	—
779	C₂×#6157	—	2	1	no	—
780	C₂×#6157	—	2	1	no	—
781	C₂×#6157	—	2	1	no	—
782	C₂×#6157	—	2	1	no	—
783	C₂×#6157	—	2	1	no	—
784	C₂×#6157	—	2	1	no	—
785	C₂×#6157	—	2	1	no	—
786	C₂×#6157	—	2	1	no	—
787	C₂×#6157	—	2	1	no	—
788	C₂×#6157	—	2	1	no	—
789	C₂×#6157	—	2	1	no	—
790	C₂×#6157	—	2	1	no	—
791	C₂×#6157	—	2	1	no	—
792	C₂×#6157	—	2	1	no	—
793	C₂×#6157	—	8	2	no	—
794	C₂×#6157	—	8	2	no	—
795	C₂×#6157	2₋¹⁺⁴	1	2	yes	—
796	Q₈×C₅₃	—	4	1	no	—
797	D₄×C₅₃	—	4	1	no	—
798	C₂×C₄×C₅₃	—	4	1	no	—
799	C₂×C₄×C₅₃	—	4	1	no	—
800	C₂×C₄×C₅₃	—	4	1	no	—
801	C₂×C₄×C₅₃	—	4	1	no	—
802	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
803	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
804	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
805	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
806	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
807	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
808	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
809	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
810	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
811	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
812	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
813	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
814	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
815	C₂²⋊D₅₃	—	4	1	no	—
816	C₂²⋊D₅₃	—	4	1	no	—
817	C₂×Dic₅₃	—	4	1	no	—
818	C₂×Dic₅₃	—	4	1	no	—
819	C₂×Dic₅₃	—	4	1	no	—
820	C₂×Dic₅₃	—	4	1	no	—
821	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
822	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
823	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
824	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
825	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
826	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
827	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
828	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
829	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
830	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
831	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
832	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
833	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
834	D₂₁₂	—	4	1	no	—
835	C₄×D₅₃	—	2	1	no	—
836	C₄×D₅₃	—	2	1	no	—
837	C₄×D₅₃	—	2	1	no	—
838	C₄×D₅₃	—	2	1	no	—
839	C₄×D₅₃	—	2	1	no	—
840	C₄×D₅₃	—	2	1	no	—
841	C₄×D₅₃	—	2	1	no	—
842	C₄×D₅₃	—	2	1	no	—
843	C₄×D₅₃	—	2	1	no	—
844	C₄×D₅₃	—	2	1	no	—
845	C₄×D₅₃	—	2	1	no	—
846	C₄×D₅₃	—	2	1	no	—
847	C₄×D₅₃	—	2	1	no	—
848	C₄×D₅₃	—	2	1	no	—
849	C₄×D₅₃	—	2	1	no	—
850	C₄×D₅₃	—	2	1	no	—
851	C₄×D₅₃	—	2	1	no	—
852	C₄×D₅₃	—	2	1	no	—
853	C₄×D₅₃	—	2	1	no	—
854	C₄×D₅₃	—	2	1	no	—
855	C₄×D₅₃	—	2	1	no	—
856	C₄×D₅₃	—	2	1	no	—
857	C₄×D₅₃	—	2	1	no	—
858	C₄×D₅₃	—	2	1	no	—
859	C₄×D₅₃	—	2	1	no	—
860	C₄×D₅₃	—	2	1	no	—
861	C₄×D₅₃	—	4	1	no	—
862	C₄×D₅₃	—	4	1	no	—
863	C₄×D₅₃	—	4	1	no	—
864	C₄×D₅₃	—	4	1	no	—
865	C₄×D₅₃	—	4	1	no	—
866	C₄×D₅₃	—	4	1	no	—
867	C₄×D₅₃	—	4	1	no	—
868	C₄×D₅₃	—	4	1	no	—
869	Dic₁₀₆	—	4	1	no	—
870	Dic₁₀₆	—	4	1	no	—
871	Dic₁₀₆	—	4	1	no	—
872	#34507	—	53	1	no	maximal, Sylow
873	C₂²×C₅₃	—	2	1	no	—
874	C₂²×C₅₃	—	2	1	no	—
875	C₂²×C₅₃	—	2	1	no	—
876	C₂²×C₅₃	—	2	1	no	—
877	C₂²×C₅₃	—	2	1	no	—
878	C₂²×C₅₃	—	2	1	no	—
879	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
880	C₂×D₅₃	—	2	1	no	—
881	C₂×D₅₃	—	2	1	no	—
882	C₂×D₅₃	—	2	1	no	—
883	C₂×D₅₃	—	2	1	no	—
884	C₂×D₅₃	—	2	1	no	—
885	C₂×D₅₃	—	2	1	no	—
886	C₂×D₅₃	—	4	1	no	—
887	C₂×D₅₃	—	4	1	no	—
888	C₂×D₅₃	—	4	1	no	—
889	C₂×D₅₃	—	4	1	no	—
890	C₂×D₅₃	—	4	1	no	—
891	C₂×D₅₃	—	4	1	no	—
892	C₂×D₅₃	—	4	1	no	—
893	C₂×D₅₃	—	4	1	no	—
894	C₂×D₅₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
895	C₂×D₅₃	#585	1	1	yes	characteristic
896	C₂×D₅₃	#585	1	1	yes	characteristic
897	C₂×D₅₃	#585	1	1	yes	characteristic
898	C₂×D₅₃	#585	1	1	yes	characteristic
899	C₂×D₅₃	#585	1	1	yes	characteristic
900	#6157	—	2	2	no	—
901	#6157	—	4	1	no	—
902	#6157	—	4	1	no	—
903	#6157	—	4	1	no	—
904	#6157	—	4	1	no	—
905	#6157	—	4	1	no	—
906	#6157	—	4	1	no	—
907	#6157	—	4	1	no	—
908	#6157	—	4	1	no	—
909	#6157	—	4	1	no	—
910	#6157	—	4	1	no	—
911	#6157	—	4	1	no	—
912	#6157	—	4	1	no	—
913	#6157	—	4	1	no	—
914	#6157	—	4	1	no	—
915	#6157	—	4	1	no	—
916	C₄×C₅₃	—	2	1	no	—
917	C₄×C₅₃	—	2	1	no	—
918	C₄×C₅₃	—	2	1	no	—
919	C₄×C₅₃	—	2	1	no	—
920	C₄×C₅₃	—	2	1	no	—
921	C₄×C₅₃	—	2	1	no	—
922	C₄×C₅₃	—	2	1	no	—
923	C₄×C₅₃	—	2	1	no	—
924	C₄×C₅₃	—	2	1	no	—
925	C₄×C₅₃	—	2	1	no	—
926	C₄×C₅₃	—	2	1	no	—
927	C₄×C₅₃	—	2	1	no	—
928	C₄×C₅₃	—	2	1	no	—
929	Dic₅₃	—	2	1	no	—
930	Dic₅₃	—	2	1	no	—
931	Dic₅₃	—	2	1	no	—
932	Dic₅₃	—	2	1	no	—
933	Dic₅₃	—	2	1	no	—
934	Dic₅₃	—	2	1	no	—
935	Dic₅₃	—	2	1	no	—
936	Dic₅₃	—	2	1	no	—
937	Dic₅₃	—	2	1	no	—
938	Dic₅₃	—	2	1	no	—
939	Dic₅₃	—	2	1	no	—
940	Dic₅₃	—	2	1	no	—
941	Dic₅₃	—	2	1	no	—
942	C₂×#552	—	53	1	no	—
943	#2382	—	53	1	no	—
944	#2378	—	53	1	no	—
945	#2378	—	53	1	no	—
946	#2376	—	53	1	no	—
947	#2374	—	53	1	no	—
948	#2373	—	53	1	no	—
949	#2373	—	53	1	no	—
950	#2371	—	53	1	no	—
951	#2370	—	53	1	no	—
952	#2356	—	53	1	no	—
953	#2353	—	53	1	no	—
954	#2347	—	53	1	no	—
955	#2346	—	53	1	no	—
956	#2345	—	53	1	no	—
957	#2343	—	53	1	no	—
958	#2336	—	53	1	no	—
959	#2336	—	53	1	no	—
960	#2335	—	53	1	no	—
961	#2335	—	53	1	no	—
962	#2334	—	53	1	no	—
963	#2332	—	53	1	no	—
964	#2330	—	53	1	no	—
965	#2329	—	53	1	no	—
966	#2319	—	53	1	no	—
967	#2314	—	53	1	no	—
968	#2314	—	53	1	no	—
969	#2313	—	53	1	no	—
970	C₄×#126	—	53	1	no	—
971	#2298	—	53	1	no	—
972	#2295	—	53	1	no	—
973	C₂×C₅₃	—	4	1	no	—
974	C₂×C₅₃	—	4	1	no	—
975	C₂×C₅₃	#3428	1	1	yes	characteristic
976	C₂×C₅₃	#3428	1	1	yes	characteristic
977	C₂×C₅₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
978	D₅₃	—	4	1	no	—
979	D₅₃	—	4	1	no	—
980	D₅₃	#3564	1	1	yes	characteristic
981	D₅₃	#3565	1	1	yes	characteristic
982	D₅₃	#3566	1	1	yes	characteristic
983	D₅₃	#3567	1	1	yes	characteristic
984	#552	—	53	1	no	—
985	#552	—	53	1	no	—
986	#552	—	53	1	no	—
987	#552	—	53	1	no	—
988	#552	—	53	1	no	—
989	#552	—	53	1	no	—
990	#552	—	53	1	no	—
991	#552	—	53	1	no	—
992	#552	—	53	1	no	—
993	#552	—	53	1	no	—
994	#552	—	53	1	no	—
995	#552	—	53	1	no	—
996	#552	—	53	1	no	—
997	#552	—	53	1	no	—
998	#552	—	53	1	no	—
999	#552	#6157	1	1	yes	characteristic, complemented
1000	C₂×#126	—	53	1	no	—
1001	C₂×#126	—	53	1	no	—
1002	C₂×#125	—	53	1	no	—
1003	C₂×#125	—	53	1	no	—
1004	C₂×#125	—	53	1	no	—
1005	C₂×#123	—	53	1	no	—
1006	C₂×#123	—	53	1	no	—
1007	C₂×C₂²⋊Q₈	—	53	1	no	—
1008	C₂×C₂²⋊Q₈	—	53	1	no	—
1009	C₂×C₄×Q₈	—	53	1	no	—
1010	C₂×C₄×D₄	—	53	1	no	—
1011	C₂×#117	—	53	1	no	—
1012	C₂×#117	—	53	1	no	—
1013	C₂×#117	—	53	1	no	—
1014	C₂²×C₄⋊C₄	—	53	1	no	—
1015	#391	—	53	1	no	—
1016	#391	—	53	1	no	—
1017	#391	—	53	1	no	—
1018	#391	—	53	1	no	—
1019	#390	—	53	1	no	—
1020	#390	—	53	1	no	—
1021	#389	—	53	1	no	—
1022	#389	—	53	1	no	—
1023	#389	—	53	1	no	—
1024	#389	—	53	1	no	—
1025	#389	—	53	1	no	—
1026	#389	—	53	1	no	—
1027	#389	—	53	1	no	—
1028	#389	—	53	1	no	—
1029	#389	—	53	1	no	—
1030	#389	—	53	1	no	—
1031	#389	—	53	1	no	—
1032	#389	—	53	1	no	—
1033	#389	—	53	1	no	—
1034	#389	—	53	1	no	—
1035	#388	—	53	1	no	—
1036	#388	—	53	1	no	—
1037	#388	—	53	1	no	—
1038	#388	—	53	1	no	—
1039	#388	—	53	1	no	—
1040	#388	—	53	1	no	—
1041	#388	—	53	1	no	—
1042	#388	—	53	1	no	—
1043	#388	—	53	1	no	—
1044	#388	—	53	1	no	—
1045	#388	—	53	1	no	—
1046	#388	—	53	1	no	—
1047	#388	—	53	1	no	—
1048	#388	—	53	1	no	—
1049	#388	—	53	1	no	—
1050	#388	—	53	1	no	—
1051	#388	—	53	1	no	—
1052	#388	—	53	1	no	—
1053	#388	—	53	1	no	—
1054	#388	—	53	1	no	—
1055	#388	—	53	1	no	—
1056	#388	—	53	1	no	—
1057	#387	—	53	1	no	—
1058	#387	—	53	1	no	—
1059	#387	—	53	1	no	—
1060	#387	—	53	1	no	—
1061	#387	—	53	1	no	—
1062	#387	—	53	1	no	—
1063	#387	—	53	1	no	—
1064	#387	—	53	1	no	—
1065	#387	—	53	1	no	—
1066	#387	—	53	1	no	—
1067	#387	—	53	1	no	—
1068	#387	—	53	1	no	—
1069	#387	—	53	1	no	—
1070	#387	—	53	1	no	—
1071	#387	—	53	1	no	—
1072	#387	—	53	1	no	—
1073	#387	—	53	1	no	—
1074	#387	—	53	1	no	—
1075	#387	—	53	1	no	—
1076	#387	—	53	1	no	—
1077	#387	—	53	1	no	—
1078	#387	—	53	1	no	—
1079	#387	—	53	1	no	—
1080	#387	—	53	1	no	—
1081	#387	—	53	1	no	—
1082	#387	—	53	1	no	—
1083	#387	—	53	1	no	—
1084	#387	—	53	1	no	—
1085	#387	—	53	1	no	—
1086	#387	—	53	1	no	—
1087	#387	—	53	1	no	—
1088	#387	—	53	1	no	—
1089	#387	—	53	1	no	—
1090	#387	—	53	1	no	—
1091	#387	—	53	1	no	—
1092	#387	—	53	1	no	—
1093	#387	—	53	1	no	—
1094	#387	—	53	1	no	—
1095	#386	—	53	1	no	—
1096	#386	—	53	1	no	—
1097	#385	—	53	1	no	—
1098	#385	—	53	1	no	—
1099	#385	—	53	1	no	—
1100	#385	—	53	1	no	—
1101	#384	—	53	1	no	—
1102	#383	—	53	1	no	—
1103	#383	—	53	1	no	—
1104	#383	—	53	1	no	—
1105	#382	—	53	1	no	—
1106	#382	—	53	1	no	—
1107	#382	—	53	1	no	—
1108	#381	—	53	1	no	—
1109	#381	—	53	1	no	—
1110	#381	—	53	1	no	—
1111	#380	—	53	1	no	—
1112	#380	—	53	1	no	—
1113	#380	—	53	1	no	—
1114	#380	—	53	1	no	—
1115	#380	—	53	1	no	—
1116	#380	—	53	1	no	—
1117	#380	—	53	1	no	—
1118	C₄×C₄⋊C₄	—	53	1	no	—
1119	C₄×C₄⋊C₄	—	53	1	no	—
1120	C₄×C₄⋊C₄	—	53	1	no	—
1121	C₄×C₄⋊C₄	—	53	1	no	—
1122	C₄×C₄⋊C₄	—	53	1	no	—
1123	C₄×C₄⋊C₄	—	53	1	no	—
1124	C₄×C₄⋊C₄	—	53	1	no	—
1125	C₄×C₄⋊C₄	—	53	1	no	—
1126	C₄×C₄⋊C₄	—	53	1	no	—
1127	C₄×C₄⋊C₄	—	53	1	no	—
1128	C₄×C₄⋊C₄	—	53	1	no	—
1129	C₄×C₄⋊C₄	—	53	1	no	—
1130	C₄×C₄⋊C₄	—	53	1	no	—
1131	C₄×C₄⋊C₄	—	53	1	no	—
1132	C₄×C₄⋊C₄	—	53	1	no	—
1133	C₄×C₄⋊C₄	—	53	1	no	—
1134	C₄×C₄⋊C₄	—	53	1	no	—
1135	C₄×C₄⋊C₄	—	53	1	no	—
1136	C₄×C₄⋊C₄	—	53	1	no	—
1137	C₄×C₂²⋊C₄	—	53	1	no	—
1138	C₄×C₂²⋊C₄	—	53	1	no	—
1139	C₄×C₂²⋊C₄	—	53	1	no	—
1140	C₄×C₂²⋊C₄	—	53	1	no	—
1141	C₄×C₂²⋊C₄	—	53	1	no	—
1142	C₄×C₂²⋊C₄	—	53	1	no	—
1143	C₄×C₂²⋊C₄	—	53	1	no	—
1144	C₄×C₂²⋊C₄	—	53	1	no	—
1145	C₄×C₂²⋊C₄	—	53	1	no	—
1146	C₄×C₂²⋊C₄	—	53	1	no	—
1147	C₄×C₂²⋊C₄	—	53	1	no	—
1148	#376	—	53	1	no	—
1149	#376	—	53	1	no	—
1150	#376	—	53	1	no	—
1151	#376	—	53	1	no	—
1152	#376	—	53	1	no	—
1153	C₂×#95	—	53	1	no	—
1154	C₄³	—	53	1	no	—
1155	C₅₃	#34507	1	1	yes	characteristic, complemented, Sylow
1156	C₂²×Q₈	—	53	1	no	—
1157	C₂²×D₄	—	53	1	no	—
1158	C₂³×C₄	—	53	1	no	—
1159	C₂³×C₄	—	53	1	no	—
1160	C₂³×C₄	—	53	1	no	—
1161	C₂³×C₄	—	53	1	no	—
1162	C₂³×C₄	—	53	1	no	—
1163	C₂³×C₄	—	53	1	no	—
1164	#126	—	53	1	no	—
1165	#126	—	53	1	no	—
1166	#126	—	53	1	no	—
1167	#126	—	53	1	no	—
1168	#126	—	53	1	no	—
1169	#126	—	53	1	no	—
1170	#126	—	53	1	no	—
1171	#126	—	53	1	no	—
1172	#126	—	53	1	no	—
1173	#126	—	53	1	no	—
1174	#126	—	53	1	no	—
1175	#126	—	53	1	no	—
1176	#126	—	53	1	no	—
1177	#126	—	53	1	no	—
1178	#126	C₂×#6157	1	1	yes	characteristic
1179	#126	C₂×#6157	1	1	yes	characteristic
1180	#125	—	53	1	no	—
1181	#125	—	53	1	no	—
1182	#125	—	53	1	no	—
1183	#125	—	53	1	no	—
1184	#125	—	53	1	no	—
1185	#125	—	53	1	no	—
1186	#125	—	53	1	no	—
1187	#125	—	53	1	no	—
1188	#125	—	53	1	no	—
1189	#125	—	53	1	no	—
1190	#125	—	53	1	no	—
1191	#125	—	53	1	no	—
1192	#125	—	53	1	no	—
1193	#125	—	53	1	no	—
1194	#125	—	53	1	no	—
1195	#125	—	53	1	no	—
1196	#125	—	53	1	no	—
1197	#125	—	53	1	no	—
1198	#125	—	53	1	no	—
1199	#125	—	53	1	no	—
1200	#125	—	53	1	no	—
1201	#125	C₂×#6157	1	1	yes	characteristic, complemented
1202	#125	C₂×#6157	1	1	yes	characteristic, complemented
1203	#125	C₂×#6157	1	1	yes	characteristic, complemented
1204	#123	—	53	1	no	—
1205	#123	—	53	1	no	—
1206	#123	—	53	1	no	—
1207	#123	—	53	1	no	—
1208	#123	—	53	1	no	—
1209	#123	—	53	1	no	—
1210	#123	—	53	1	no	—
1211	#123	—	53	1	no	—
1212	#123	—	53	1	no	—
1213	#123	—	53	1	no	—
1214	#123	—	53	1	no	—
1215	#123	—	53	1	no	—
1216	#123	—	53	1	no	—
1217	#123	—	53	1	no	—
1218	#123	C₂×#6157	1	1	yes	characteristic
1219	#123	C₂×#6157	1	1	yes	characteristic
1220	C₂²⋊Q₈	—	53	1	no	—
1221	C₂²⋊Q₈	—	53	1	no	—
1222	C₂²⋊Q₈	—	53	1	no	—
1223	C₂²⋊Q₈	—	53	1	no	—
1224	C₂²⋊Q₈	—	53	1	no	—
1225	C₂²⋊Q₈	—	53	1	no	—
1226	C₂²⋊Q₈	—	53	1	no	—
1227	C₂²⋊Q₈	—	53	1	no	—
1228	C₂²⋊Q₈	—	53	1	no	—
1229	C₂²⋊Q₈	—	53	1	no	—
1230	C₂²⋊Q₈	—	53	1	no	—
1231	C₂²⋊Q₈	—	53	1	no	—
1232	C₂²⋊Q₈	—	53	1	no	—
1233	C₂²⋊Q₈	—	53	1	no	—
1234	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1235	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1236	C₄×Q₈	—	53	1	no	—
1237	C₄×Q₈	—	53	1	no	—
1238	C₄×Q₈	—	53	1	no	—
1239	C₄×Q₈	—	53	1	no	—
1240	C₄×Q₈	—	53	1	no	—
1241	C₄×Q₈	—	53	1	no	—
1242	C₄×Q₈	—	53	1	no	—
1243	C₄×Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1244	C₄×D₄	—	53	1	no	—
1245	C₄×D₄	—	53	1	no	—
1246	C₄×D₄	—	53	1	no	—
1247	C₄×D₄	—	53	1	no	—
1248	C₄×D₄	—	53	1	no	—
1249	C₄×D₄	—	53	1	no	—
1250	C₄×D₄	—	53	1	no	—
1251	C₄×D₄	C₂×#6157	1	1	yes	characteristic
1252	#117	—	53	1	no	—
1253	#117	—	53	1	no	—
1254	#117	—	53	1	no	—
1255	#117	—	53	1	no	—
1256	#117	—	53	1	no	—
1257	#117	—	53	1	no	—
1258	#117	—	53	1	no	—
1259	#117	—	53	1	no	—
1260	#117	—	53	1	no	—
1261	#117	—	53	1	no	—
1262	#117	—	53	1	no	—
1263	#117	—	53	1	no	—
1264	#117	—	53	1	no	—
1265	#117	—	53	1	no	—
1266	#117	—	53	1	no	—
1267	#117	—	53	1	no	—
1268	#117	—	53	1	no	—
1269	#117	—	53	1	no	—
1270	#117	—	53	1	no	—
1271	#117	—	53	1	no	—
1272	#117	—	53	1	no	—
1273	#117	C₂×#6157	1	1	yes	characteristic
1274	#117	C₂×#6157	1	1	yes	characteristic, complemented
1275	#117	C₂×#6157	1	1	yes	characteristic, complemented
1276	C₂×C₄⋊C₄	—	53	1	no	—
1277	C₂×C₄⋊C₄	—	53	1	no	—
1278	C₂×C₄⋊C₄	—	53	1	no	—
1279	C₂×C₄⋊C₄	—	53	1	no	—
1280	C₂×C₄⋊C₄	—	53	1	no	—
1281	C₂×C₄⋊C₄	—	53	1	no	—
1282	C₂×C₄⋊C₄	—	53	1	no	—
1283	C₂×C₄⋊C₄	—	53	1	no	—
1284	C₂×C₄⋊C₄	—	53	1	no	—
1285	C₂×C₄⋊C₄	—	53	1	no	—
1286	C₂×C₄⋊C₄	—	53	1	no	—
1287	C₂×C₄⋊C₄	—	53	1	no	—
1288	C₂×C₄⋊C₄	—	53	1	no	—
1289	C₂×C₄⋊C₄	—	53	1	no	—
1290	C₂×C₄⋊C₄	—	53	1	no	—
1291	C₂×C₄⋊C₄	—	53	1	no	—
1292	C₂×C₄⋊C₄	—	53	1	no	—
1293	C₂×C₄⋊C₄	—	53	1	no	—
1294	C₂×C₄⋊C₄	—	53	1	no	—
1295	C₂×C₄⋊C₄	—	53	1	no	—
1296	C₂×C₄⋊C₄	—	53	1	no	—
1297	C₂×C₄⋊C₄	—	53	1	no	—
1298	C₂×C₄⋊C₄	—	53	1	no	—
1299	C₂×C₄⋊C₄	—	53	1	no	—
1300	C₂×C₄⋊C₄	—	53	1	no	—
1301	C₂×C₄⋊C₄	—	53	1	no	—
1302	C₂×C₄⋊C₄	—	53	1	no	—
1303	C₂×C₄⋊C₄	—	53	1	no	—
1304	C₂×C₄⋊C₄	—	53	1	no	—
1305	C₂×C₄⋊C₄	—	53	1	no	—
1306	C₂×C₄⋊C₄	—	53	1	no	—
1307	C₂×C₄⋊C₄	—	53	1	no	—
1308	C₂×C₄⋊C₄	—	53	1	no	—
1309	C₂×C₄⋊C₄	—	53	1	no	—
1310	C₂×C₄⋊C₄	—	53	1	no	—
1311	C₂×C₄⋊C₄	—	53	1	no	—
1312	C₂×C₄⋊C₄	—	53	1	no	—
1313	C₂×C₄⋊C₄	—	53	1	no	—
1314	C₂×C₄⋊C₄	—	53	1	no	—
1315	C₂×C₄⋊C₄	—	53	1	no	—
1316	C₂×C₄⋊C₄	—	53	1	no	—
1317	C₂×C₄⋊C₄	—	53	1	no	—
1318	C₂×C₄⋊C₄	—	53	1	no	—
1319	C₂×C₄⋊C₄	—	53	1	no	—
1320	C₂×C₄⋊C₄	—	53	1	no	—
1321	C₂×C₄⋊C₄	—	53	1	no	—
1322	C₂×C₄⋊C₄	—	53	1	no	—
1323	C₂×C₄⋊C₄	C₂×#6157	1	1	yes	characteristic, complemented
1324	C₂×C₂²⋊C₄	—	53	1	no	—
1325	C₂×C₂²⋊C₄	—	53	1	no	—
1326	C₂×C₂²⋊C₄	—	53	1	no	—
1327	C₂×C₂²⋊C₄	—	53	1	no	—
1328	C₂×C₂²⋊C₄	—	53	1	no	—
1329	C₂×C₂²⋊C₄	—	53	1	no	—
1330	C₂×C₂²⋊C₄	—	53	1	no	—
1331	C₂×C₂²⋊C₄	—	53	1	no	—
1332	C₂×C₂²⋊C₄	—	53	1	no	—
1333	C₂×C₂²⋊C₄	—	53	1	no	—
1334	C₂×C₂²⋊C₄	—	53	1	no	—
1335	C₂×C₂²⋊C₄	—	53	1	no	—
1336	C₂×C₂²⋊C₄	—	53	1	no	—
1337	C₂×C₂²⋊C₄	—	53	1	no	—
1338	C₂×C₂²⋊C₄	—	53	1	no	—
1339	C₂×C₂²⋊C₄	—	53	1	no	—
1340	C₂×C₂²⋊C₄	—	53	1	no	—
1341	C₂×C₂²⋊C₄	—	53	1	no	—
1342	C₂×C₂²⋊C₄	—	53	1	no	—
1343	C₂×C₂²⋊C₄	—	53	1	no	—
1344	C₂×C₂²⋊C₄	—	53	1	no	—
1345	C₂×C₂²⋊C₄	—	53	1	no	—
1346	C₂×C₄²	—	53	1	no	—
1347	C₂×C₄²	—	53	1	no	—
1348	C₂×C₄²	—	53	1	no	—
1349	C₂×C₄²	—	53	1	no	—
1350	C₂×C₄²	—	53	1	no	—
1351	C₂×C₄²	—	53	1	no	—
1352	C₂×C₄²	—	53	1	no	—
1353	C₂×C₄²	—	53	1	no	—
1354	C₂×C₄²	—	53	1	no	—
1355	C₂×C₄²	—	53	1	no	—
1356	C₂×C₄²	—	53	1	no	—
1357	C₂×C₄²	—	53	1	no	—
1358	C₂×C₄²	—	53	1	no	—
1359	C₂×C₄²	—	53	1	no	—
1360	C₂×C₄²	—	53	1	no	—
1361	C₂×C₄²	—	53	1	no	—
1362	C₂×C₄²	—	53	1	no	—
1363	C₂×C₄²	—	53	1	no	—
1364	C₂×C₄²	—	53	1	no	—
1365	C₂×C₄²	—	53	1	no	—
1366	C₂×C₄²	—	53	1	no	—
1367	C₂×C₄²	—	53	1	no	—
1368	C₂×C₄²	—	53	1	no	—
1369	C₂×C₄²	—	53	1	no	—
1370	C₂×C₄²	—	53	1	no	—
1371	C₂×C₄²	—	53	1	no	—
1372	C₂×C₄²	—	53	1	no	—
1373	C₂×C₄²	—	53	1	no	—
1374	C₂×C₄²	—	53	1	no	—
1375	#95	—	53	1	no	—
1376	#95	—	53	1	no	—
1377	#95	—	53	1	no	—
1378	#95	—	53	1	no	—
1379	#95	—	53	1	no	—
1380	#95	—	53	1	no	—
1381	#95	—	53	1	no	—
1382	#95	—	53	1	no	—
1383	#95	—	53	1	no	—
1384	#95	—	53	1	no	—
1385	#95	—	53	1	no	—
1386	#95	—	53	1	no	—
1387	#95	—	53	1	no	—
1388	#95	—	53	1	no	—
1389	#95	—	53	1	no	—
1390	#95	—	53	1	no	—
1391	#95	—	53	1	no	—
1392	#95	—	53	1	no	—
1393	#95	—	53	1	no	—
1394	#95	—	53	1	no	—
1395	#95	—	53	1	no	—
1396	#95	—	53	1	no	—
1397	#95	—	53	1	no	—
1398	#95	—	53	1	no	—
1399	#95	—	53	1	no	—
1400	#95	—	53	1	no	—
1401	#95	—	53	1	no	—
1402	#95	—	53	1	no	—
1403	#95	—	53	1	no	—
1404	#95	—	53	1	no	—
1405	#95	—	53	1	no	—
1406	#95	—	53	1	no	—
1407	#95	—	53	1	no	—
1408	#95	—	53	1	no	—
1409	#95	—	53	1	no	—
1410	#95	—	53	1	no	—
1411	#95	—	53	1	no	—
1412	#95	—	53	1	no	—
1413	#95	—	53	1	no	—
1414	#95	—	53	1	no	—
1415	#95	—	53	1	no	—
1416	#95	—	53	1	no	—
1417	#95	—	53	1	no	—
1418	#95	—	53	1	no	—
1419	#95	—	53	1	no	—
1420	#95	—	53	1	no	—
1421	#95	—	53	1	no	—
1422	#95	—	53	1	no	—
1423	#95	—	53	1	no	—
1424	#95	—	53	1	no	—
1425	#95	—	53	1	no	—
1426	#95	—	53	1	no	—
1427	#95	—	53	1	no	—
1428	#95	—	53	1	no	—
1429	#95	—	53	1	no	—
1430	#95	—	53	1	no	—
1431	C₂⁴	—	53	1	no	—
1432	C₂⁴	—	53	1	no	—
1433	C₂×Q₈	—	53	1	no	—
1434	C₂×Q₈	—	53	1	no	—
1435	C₂×Q₈	—	53	1	no	—
1436	C₂×Q₈	—	212	1	no	—
1437	C₂×Q₈	—	212	1	no	—
1438	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1439	C₂×D₄	—	53	1	no	—
1440	C₂×D₄	—	53	1	no	—
1441	C₂×D₄	—	53	1	no	—
1442	C₂×D₄	—	212	1	no	—
1443	C₂×D₄	—	212	1	no	—
1444	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1445	C₂²×C₄	—	53	1	no	—
1446	C₂²×C₄	—	53	1	no	—
1447	C₂²×C₄	—	53	1	no	—
1448	C₂²×C₄	—	53	1	no	—
1449	C₂²×C₄	—	53	1	no	—
1450	C₂²×C₄	—	53	1	no	—
1451	C₂²×C₄	—	53	1	no	—
1452	C₂²×C₄	—	53	1	no	—
1453	C₂²×C₄	—	53	1	no	—
1454	C₂²×C₄	—	53	1	no	—
1455	C₂²×C₄	—	53	1	no	—
1456	C₂²×C₄	—	53	1	no	—
1457	C₂²×C₄	—	53	1	no	—
1458	C₂²×C₄	—	53	1	no	—
1459	C₂²×C₄	—	53	1	no	—
1460	C₂²×C₄	—	53	1	no	—
1461	C₂²×C₄	—	53	1	no	—
1462	C₂²×C₄	—	53	1	no	—
1463	C₂²×C₄	—	53	1	no	—
1464	C₂²×C₄	—	53	1	no	—
1465	C₂²×C₄	—	53	1	no	—
1466	C₂²×C₄	—	53	1	no	—
1467	C₂²×C₄	—	53	1	no	—
1468	C₂²×C₄	—	53	1	no	—
1469	C₂²×C₄	—	53	1	no	—
1470	C₂²×C₄	—	53	1	no	—
1471	C₂²×C₄	—	53	1	no	—
1472	C₂²×C₄	—	53	1	no	—
1473	C₂²×C₄	—	53	1	no	—
1474	C₂²×C₄	—	53	1	no	—
1475	C₂²×C₄	—	53	1	no	—
1476	C₂²×C₄	—	53	1	no	—
1477	C₂²×C₄	—	53	1	no	—
1478	C₂²×C₄	—	53	1	no	—
1479	C₂²×C₄	—	53	1	no	—
1480	C₂²×C₄	—	53	1	no	—
1481	C₂²×C₄	—	53	1	no	—
1482	C₂²×C₄	—	53	1	no	—
1483	C₂²×C₄	—	53	1	no	—
1484	C₂²×C₄	—	53	1	no	—
1485	C₂²×C₄	—	53	1	no	—
1486	C₂²×C₄	—	106	2	no	—
1487	C₂²×C₄	—	212	1	no	—
1488	C₂²×C₄	—	212	1	no	—
1489	C₂²×C₄	—	212	1	no	—
1490	C₂²×C₄	—	212	1	no	—
1491	C₂²×C₄	—	212	1	no	—
1492	C₂²×C₄	—	212	1	no	—
1493	C₂²×C₄	—	212	1	no	—
1494	C₂²×C₄	—	212	1	no	—
1495	C₂²×C₄	—	212	1	no	—
1496	C₂²×C₄	—	212	1	no	—
1497	C₂²×C₄	—	212	1	no	—
1498	C₂²×C₄	—	212	1	no	—
1499	C₂²×C₄	—	212	1	no	—
1500	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1501	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1502	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1503	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1504	C₄⋊C₄	—	53	1	no	—
1505	C₄⋊C₄	—	53	1	no	—
1506	C₄⋊C₄	—	53	1	no	—
1507	C₄⋊C₄	—	53	1	no	—
1508	C₄⋊C₄	—	53	1	no	—
1509	C₄⋊C₄	—	53	1	no	—
1510	C₄⋊C₄	—	53	1	no	—
1511	C₄⋊C₄	—	53	1	no	—
1512	C₄⋊C₄	—	53	1	no	—
1513	C₄⋊C₄	—	53	1	no	—
1514	C₄⋊C₄	—	53	1	no	—
1515	C₄⋊C₄	—	53	1	no	—
1516	C₄⋊C₄	—	53	1	no	—
1517	C₄⋊C₄	—	53	1	no	—
1518	C₄⋊C₄	—	53	1	no	—
1519	C₄⋊C₄	—	53	1	no	—
1520	C₄⋊C₄	—	53	1	no	—
1521	C₄⋊C₄	—	53	1	no	—
1522	C₄⋊C₄	—	53	1	no	—
1523	C₄⋊C₄	—	53	1	no	—
1524	C₄⋊C₄	—	53	1	no	—
1525	C₄⋊C₄	—	53	1	no	—
1526	C₄⋊C₄	—	53	1	no	—
1527	C₄⋊C₄	—	53	1	no	—
1528	C₄⋊C₄	—	53	1	no	—
1529	C₄⋊C₄	—	53	1	no	—
1530	C₄⋊C₄	—	53	1	no	—
1531	C₄⋊C₄	—	53	1	no	—
1532	C₄⋊C₄	—	53	1	no	—
1533	C₄⋊C₄	—	53	1	no	—
1534	C₄⋊C₄	—	53	1	no	—
1535	C₄⋊C₄	—	53	1	no	—
1536	C₄⋊C₄	—	53	1	no	—
1537	C₄⋊C₄	—	53	1	no	—
1538	C₄⋊C₄	—	53	1	no	—
1539	C₄⋊C₄	—	53	1	no	—
1540	C₄⋊C₄	—	53	1	no	—
1541	C₄⋊C₄	—	53	1	no	—
1542	C₄⋊C₄	—	53	1	no	—
1543	C₄⋊C₄	—	53	1	no	—
1544	C₄⋊C₄	—	53	1	no	—
1545	C₄⋊C₄	—	53	1	no	—
1546	C₄⋊C₄	—	53	1	no	—
1547	C₄⋊C₄	—	53	1	no	—
1548	C₄⋊C₄	—	53	1	no	—
1549	C₄⋊C₄	—	53	1	no	—
1550	C₄⋊C₄	—	53	1	no	—
1551	C₄⋊C₄	—	53	1	no	—
1552	C₄⋊C₄	—	106	2	no	—
1553	C₄⋊C₄	—	212	1	no	—
1554	C₄⋊C₄	—	212	1	no	—
1555	C₄⋊C₄	—	212	1	no	—
1556	C₄⋊C₄	—	212	1	no	—
1557	C₄⋊C₄	—	212	1	no	—
1558	C₄⋊C₄	—	212	1	no	—
1559	C₄⋊C₄	—	212	1	no	—
1560	C₄⋊C₄	—	212	1	no	—
1561	C₄⋊C₄	—	212	1	no	—
1562	C₄⋊C₄	—	212	1	no	—
1563	C₄⋊C₄	—	212	1	no	—
1564	C₄⋊C₄	—	212	1	no	—
1565	C₄⋊C₄	—	212	1	no	—
1566	C₄⋊C₄	—	212	1	no	—
1567	C₄⋊C₄	—	212	1	no	—
1568	C₄⋊C₄	—	212	1	no	—
1569	C₄⋊C₄	—	212	1	no	—
1570	C₄⋊C₄	—	212	1	no	—
1571	C₄⋊C₄	—	212	1	no	—
1572	C₄⋊C₄	—	212	1	no	—
1573	C₄⋊C₄	—	212	1	no	—
1574	C₄⋊C₄	—	212	1	no	—
1575	C₄⋊C₄	—	212	1	no	—
1576	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1577	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1578	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1579	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1580	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1581	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1582	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1583	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1584	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1585	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1586	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1587	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1588	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1589	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1590	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1591	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1592	C₂²⋊C₄	—	53	1	no	—
1593	C₂²⋊C₄	—	53	1	no	—
1594	C₂²⋊C₄	—	53	1	no	—
1595	C₂²⋊C₄	—	53	1	no	—
1596	C₂²⋊C₄	—	53	1	no	—
1597	C₂²⋊C₄	—	53	1	no	—
1598	C₂²⋊C₄	—	53	1	no	—
1599	C₂²⋊C₄	—	53	1	no	—
1600	C₂²⋊C₄	—	53	1	no	—
1601	C₂²⋊C₄	—	53	1	no	—
1602	C₂²⋊C₄	—	53	1	no	—
1603	C₂²⋊C₄	—	53	1	no	—
1604	C₂²⋊C₄	—	53	1	no	—
1605	C₂²⋊C₄	—	53	1	no	—
1606	C₂²⋊C₄	—	53	1	no	—
1607	C₂²⋊C₄	—	53	1	no	—
1608	C₂²⋊C₄	—	53	1	no	—
1609	C₂²⋊C₄	—	53	1	no	—
1610	C₂²⋊C₄	—	53	1	no	—
1611	C₂²⋊C₄	—	53	1	no	—
1612	C₂²⋊C₄	—	53	1	no	—
1613	C₂²⋊C₄	—	53	1	no	—
1614	C₂²⋊C₄	—	53	1	no	—
1615	C₂²⋊C₄	—	53	1	no	—
1616	C₂²⋊C₄	—	106	2	no	—
1617	C₂²⋊C₄	—	212	1	no	—
1618	C₂²⋊C₄	—	212	1	no	—
1619	C₂²⋊C₄	—	212	1	no	—
1620	C₂²⋊C₄	—	212	1	no	—
1621	C₂²⋊C₄	—	212	1	no	—
1622	C₂²⋊C₄	—	212	1	no	—
1623	C₂²⋊C₄	—	212	1	no	—
1624	C₂²⋊C₄	—	212	1	no	—
1625	C₂²⋊C₄	—	212	1	no	—
1626	C₂²⋊C₄	—	212	1	no	—
1627	C₂²⋊C₄	—	212	1	no	—
1628	C₂²⋊C₄	—	212	1	no	—
1629	C₂²⋊C₄	—	212	1	no	—
1630	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1631	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1632	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1633	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1634	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1635	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1636	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1637	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1638	C₄²	—	53	1	no	—
1639	C₄²	—	53	1	no	—
1640	C₄²	—	53	1	no	—
1641	C₄²	—	53	1	no	—
1642	C₄²	—	53	1	no	—
1643	C₄²	—	53	1	no	—
1644	C₄²	—	53	1	no	—
1645	C₄²	—	53	1	no	—
1646	C₄²	—	53	1	no	—
1647	C₄²	—	53	1	no	—
1648	C₄²	—	53	1	no	—
1649	C₄²	—	53	1	no	—
1650	C₄²	—	53	1	no	—
1651	C₄²	—	53	1	no	—
1652	C₄²	—	53	1	no	—
1653	C₄²	—	106	2	no	—
1654	C₄²	—	106	2	no	—
1655	C₄²	—	212	1	no	—
1656	C₄²	—	212	1	no	—
1657	C₄²	—	212	1	no	—
1658	C₄²	—	212	1	no	—
1659	C₄²	—	212	1	no	—
1660	C₄²	—	212	1	no	—
1661	C₄²	—	212	1	no	—
1662	C₄²	—	212	1	no	—
1663	C₄²	—	212	1	no	—
1664	C₄²	—	212	1	no	—
1665	C₄²	—	212	1	no	—
1666	C₄²	—	212	1	no	—
1667	C₄²	—	212	1	no	—
1668	C₄²	—	212	1	no	—
1669	C₄²	—	212	1	no	—
1670	C₄²	—	212	1	no	—
1671	C₄²	—	212	1	no	—
1672	C₄²	—	212	1	no	—
1673	C₄²	—	212	1	no	—
1674	C₄²	—	212	1	no	—
1675	C₄²	—	212	1	no	—
1676	C₄²	—	212	1	no	—
1677	C₄²	C₂²×#6157	1	1	yes	characteristic
1678	C₄²	C₂²×#6157	1	1	yes	characteristic
1679	C₄²	C₂²×#6157	1	1	yes	characteristic
1680	C₄²	C₂²×#6157	1	1	yes	characteristic
1681	C₄²	C₂²×#6157	1	1	yes	characteristic
1682	C₂³	—	53	1	no	—
1683	C₂³	—	53	1	no	—
1684	C₂³	—	53	1	no	—
1685	C₂³	—	106	1	no	—
1686	C₂³	—	106	1	no	—
1687	C₂³	—	106	1	no	—
1688	C₂³	—	106	1	no	—
1689	C₂³	—	106	1	no	—
1690	C₂³	—	106	1	no	—
1691	C₂³	—	106	1	no	—
1692	C₂³	—	106	1	no	—
1693	C₂³	—	106	1	no	—
1694	C₂³	—	106	1	no	—
1695	C₂³	—	106	1	no	—
1696	C₂³	—	106	1	no	—
1697	C₂³	C₂³×#6157	1	1	yes	characteristic
1698	C₂³	C₂³×#6157	1	1	yes	characteristic
1699	Q₈	—	4	1	no	—
1700	Q₈	—	212	1	no	—
1701	Q₈	—	212	1	no	—
1702	Q₈	—	212	1	no	—
1703	D₄	—	4	1	no	—
1704	D₄	—	212	1	no	—
1705	D₄	—	212	1	no	—
1706	D₄	—	212	1	no	—
1707	C₂×C₄	—	4	1	no	—
1708	C₂×C₄	—	4	1	no	—
1709	C₂×C₄	—	4	1	no	—
1710	C₂×C₄	—	4	1	no	—
1711	C₂×C₄	—	53	2	no	—
1712	C₂×C₄	—	53	1	no	—
1713	C₂×C₄	—	53	1	no	—
1714	C₂×C₄	—	53	1	no	—
1715	C₂×C₄	—	53	1	no	—
1716	C₂×C₄	—	53	1	no	—
1717	C₂×C₄	—	53	1	no	—
1718	C₂×C₄	—	53	1	no	—
1719	C₂×C₄	—	53	1	no	—
1720	C₂×C₄	—	53	1	no	—
1721	C₂×C₄	—	53	1	no	—
1722	C₂×C₄	—	53	1	no	—
1723	C₂×C₄	—	53	1	no	—
1724	C₂×C₄	—	53	1	no	—
1725	C₂×C₄	—	106	1	no	—
1726	C₂×C₄	—	106	1	no	—
1727	C₂×C₄	—	106	1	no	—
1728	C₂×C₄	—	106	1	no	—
1729	C₂×C₄	—	106	1	no	—
1730	C₂×C₄	—	106	1	no	—
1731	C₂×C₄	—	106	1	no	—
1732	C₂×C₄	—	106	1	no	—
1733	C₂×C₄	—	106	1	no	—
1734	C₂×C₄	—	106	1	no	—
1735	C₂×C₄	—	106	1	no	—
1736	C₂×C₄	—	106	1	no	—
1737	C₂×C₄	—	106	1	no	—
1738	C₂×C₄	—	106	1	no	—
1739	C₂×C₄	—	106	1	no	—
1740	C₂×C₄	—	106	1	no	—
1741	C₂×C₄	—	106	1	no	—
1742	C₂×C₄	—	106	1	no	—
1743	C₂×C₄	—	106	1	no	—
1744	C₂×C₄	—	106	1	no	—
1745	C₂×C₄	—	106	1	no	—
1746	C₂×C₄	—	106	1	no	—
1747	C₂×C₄	—	106	1	no	—
1748	C₂×C₄	—	106	1	no	—
1749	C₂×C₄	—	106	1	no	—
1750	C₂×C₄	—	106	1	no	—
1751	C₂×C₄	—	106	1	no	—
1752	C₂×C₄	—	106	1	no	—
1753	C₂×C₄	—	106	1	no	—
1754	C₂×C₄	—	106	1	no	—
1755	C₂×C₄	—	106	1	no	—
1756	C₂×C₄	—	106	1	no	—
1757	C₂×C₄	—	106	1	no	—
1758	C₂×C₄	—	106	1	no	—
1759	C₂×C₄	—	106	1	no	—
1760	C₂×C₄	—	106	1	no	—
1761	C₂×C₄	—	106	1	no	—
1762	C₂×C₄	—	106	1	no	—
1763	C₂×C₄	—	106	1	no	—
1764	C₂×C₄	—	106	1	no	—
1765	C₂×C₄	—	106	1	no	—
1766	C₂×C₄	—	106	1	no	—
1767	C₂×C₄	—	106	1	no	—
1768	C₂×C₄	—	106	1	no	—
1769	C₂×C₄	—	106	1	no	—
1770	C₂×C₄	—	106	1	no	—
1771	C₂×C₄	—	106	1	no	—
1772	C₂×C₄	—	106	1	no	—
1773	C₂×C₄	—	106	1	no	—
1774	C₂×C₄	—	106	1	no	—
1775	C₂×C₄	—	106	1	no	—
1776	C₂×C₄	—	106	1	no	—
1777	C₂×C₄	—	106	1	no	—
1778	C₂×C₄	—	106	1	no	—
1779	C₂×C₄	—	106	1	no	—
1780	C₂×C₄	—	106	1	no	—
1781	C₂×C₄	—	106	1	no	—
1782	C₂×C₄	—	106	1	no	—
1783	C₂×C₄	—	106	1	no	—
1784	C₂×C₄	—	106	1	no	—
1785	C₂×C₄	—	106	1	no	—
1786	C₂×C₄	—	106	1	no	—
1787	C₂×C₄	—	106	1	no	—
1788	C₂×C₄	—	106	1	no	—
1789	C₂×C₄	—	106	1	no	—
1790	C₂×C₄	—	106	1	no	—
1791	C₂×C₄	—	106	1	no	—
1792	C₂×C₄	—	106	1	no	—
1793	C₂×C₄	—	106	1	no	—
1794	C₂×C₄	—	106	1	no	—
1795	C₂×C₄	—	106	1	no	—
1796	C₂×C₄	—	106	1	no	—
1797	C₂×C₄	—	106	1	no	—
1798	C₂×C₄	—	424	2	no	—
1799	C₂×C₄	—	424	2	no	—
1800	C₂×C₄	—	212	1	no	—
1801	C₂×C₄	—	212	1	no	—
1802	C₂×C₄	—	212	1	no	—
1803	C₂×C₄	—	212	1	no	—
1804	C₂×C₄	—	212	1	no	—
1805	C₂×C₄	—	212	1	no	—
1806	C₂×C₄	—	212	1	no	—
1807	C₂×C₄	—	212	1	no	—
1808	C₂×C₄	—	212	1	no	—
1809	C₂×C₄	—	212	1	no	—
1810	C₂×C₄	—	212	1	no	—
1811	C₂×C₄	—	212	1	no	—
1812	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1813	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1814	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1815	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1816	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1817	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1818	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1819	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1820	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1821	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1822	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1823	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1824	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1825	C₂²	—	2	1	no	—
1826	C₂²	—	2	1	no	—
1827	C₂²	—	2	1	no	—
1828	C₂²	—	2	1	no	—
1829	C₂²	—	2	1	no	—
1830	C₂²	—	2	1	no	—
1831	C₂²	—	53	1	no	—
1832	C₂²	—	53	1	no	—
1833	C₂²	—	53	1	no	—
1834	C₂²	—	53	1	no	—
1835	C₂²	—	53	1	no	—
1836	C₂²	—	53	1	no	—
1837	C₂²	—	106	1	no	—
1838	C₂²	—	106	1	no	—
1839	C₂²	—	106	1	no	—
1840	C₂²	—	106	1	no	—
1841	C₂²	—	106	1	no	—
1842	C₂²	—	106	1	no	—
1843	C₂²	—	212	1	no	—
1844	C₂²	—	212	1	no	—
1845	C₂²	—	212	1	no	—
1846	C₂²	—	212	1	no	—
1847	C₂²	—	212	1	no	—
1848	C₂²	—	212	1	no	—
1849	C₂²	—	212	1	no	—
1850	C₂²	—	212	1	no	—
1851	C₂²	C₂⁴×#6157	1	1	yes	characteristic
1852	C₄	—	2	1	no	—
1853	C₄	—	2	1	no	—
1854	C₄	—	2	1	no	—
1855	C₄	—	2	1	no	—
1856	C₄	—	2	1	no	—
1857	C₄	—	2	1	no	—
1858	C₄	—	2	1	no	—
1859	C₄	—	2	1	no	—
1860	C₄	—	2	1	no	—
1861	C₄	—	2	1	no	—
1862	C₄	—	2	1	no	—
1863	C₄	—	2	1	no	—
1864	C₄	—	2	1	no	—
1865	C₄	—	106	2	no	—
1866	C₄	—	106	1	no	—
1867	C₄	—	106	1	no	—
1868	C₄	—	106	1	no	—
1869	C₄	—	106	1	no	—
1870	C₄	—	106	1	no	—
1871	C₄	—	106	1	no	—
1872	C₄	—	106	1	no	—
1873	C₄	—	106	1	no	—
1874	C₄	—	106	1	no	—
1875	C₄	—	106	1	no	—
1876	C₄	—	106	1	no	—
1877	C₄	—	106	1	no	—
1878	C₄	—	106	1	no	—
1879	C₄	—	212	1	no	—
1880	C₄	—	212	1	no	—
1881	C₄	—	212	1	no	—
1882	C₄	—	212	1	no	—
1883	C₄	—	212	1	no	—
1884	C₄	—	212	1	no	—
1885	C₄	—	212	1	no	—
1886	C₄	—	212	1	no	—
1887	C₄	—	212	1	no	—
1888	C₄	—	212	1	no	—
1889	C₄	—	212	1	no	—
1890	C₄	—	212	1	no	—
1891	C₄	—	212	1	no	—
1892	C₄	—	212	1	no	—
1893	C₄	—	212	1	no	—
1894	C₂	—	4	1	no	—
1895	C₂	—	4	1	no	—
1896	C₂	—	53	1	no	—
1897	C₂	—	53	1	no	—
1898	C₂	—	53	1	no	—
1899	C₂	—	53	1	no	—
1900	C₂	—	212	1	no	—
1901	C₂	—	212	1	no	—
1902	C₂	#20291695	1	1	yes	characteristic
1903	C₂	#20291695	1	1	yes	characteristic
1904	C₂	2₋¹⁺⁴×#6157	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6157
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#552	C₄
prime radical	C₂×D₄×D₅₃	C₂³
cosocle	C₂²×D₅₃	C₂⁵
hypercenter	#552	#6157
hypocenter	C₅₃	#34507
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #552

Complements

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

N	H ≅ G/N	type
1. #20291261	C₂	semidirect
2. #20291257	C₂	semidirect
3. #20291257	C₂	semidirect
6. #20291252	C₂	semidirect
7. #20291252	C₂	semidirect
8. #20291250	C₂	semidirect
9. #20291249	C₂	semidirect
10. #20291235	C₂	semidirect
12. #20291226	C₂	semidirect
13. #20291225	C₂	semidirect
14. #20291224	C₂	semidirect
15. #20291222	C₂	semidirect
16. #20291215	C₂	semidirect
17. #20291215	C₂	semidirect
20. #20291213	C₂	semidirect
21. #20291211	C₂	semidirect
22. #20291209	C₂	semidirect
23. #20291208	C₂	semidirect
25. #20291193	C₂	semidirect
26. #20291193	C₂	semidirect
27. #20291192	C₂	semidirect
28. #126×#6157	C₂	semidirect
29. #20291177	C₂	semidirect
30. #20291174	C₂	semidirect
172. #16811315	C₄	semidirect
173. #16811314	C₄	semidirect
174. #16811313	C₄	semidirect
175. #16811312	C₄	semidirect
176. #16811311	C₄	semidirect
177. #16811310	C₄	semidirect
178. #16811310	C₄	semidirect
179. #16811309	C₄	semidirect
180. #16811309	C₄	semidirect
181. #16811308	C₄	semidirect
182. #16811307	C₄	semidirect
183. #16811306	C₄	semidirect
184. #16811306	C₄	semidirect
185. #16811305	C₄	semidirect
186. #16811305	C₄	semidirect
202. C₅₃×#552	C₄	semidirect
343. #13133209	C₂×C₄	semidirect
344. #13133209	C₂×C₄	semidirect
345. #13133209	C₂×C₄	semidirect
346. #13133208	C₂×C₄	semidirect
347. #13133208	C₂×C₄	semidirect
348. #13133208	C₂×C₄	semidirect
349. #13133208	C₂×C₄	semidirect
350. #13133208	C₂×C₄	semidirect
351. #13133208	C₂×C₄	semidirect
352. #13133207	C₂×C₄	semidirect
353. #13133207	C₂×C₄	semidirect
354. #13133207	C₂×C₄	semidirect
355. #13133207	C₂×C₄	semidirect
356. #13133207	C₂×C₄	semidirect
357. #13133207	C₂×C₄	semidirect
358. #13133207	C₂×C₄	semidirect
359. #13133207	C₂×C₄	semidirect
360. #13133207	C₂×C₄	semidirect
361. #13133207	C₂×C₄	semidirect
362. #13133207	C₂×C₄	semidirect
363. #13133207	C₂×C₄	semidirect
379. #13133197	C₂×C₄	semidirect
381. #13133196	C₂×C₄	semidirect
384. #13133195	C₂×C₄	semidirect
385. #13133195	C₂×C₄	semidirect
388. #13133194	C₂×C₄	semidirect
389. #13133194	C₂×C₄	semidirect
391. #13133193	C₂×C₄	semidirect
392. Q₈×Dic₅₃	C₂×C₄	semidirect
393. C₄×Dic₁₀₆	C₂×C₄	semidirect
394. C₄×Dic₁₀₆	C₂×C₄	semidirect
395. C₄×Dic₁₀₆	C₂×C₄	semidirect
396. #13133182	C₂×C₄	semidirect
397. #13133182	C₂×C₄	semidirect
398. #13133182	C₂×C₄	semidirect
407. #13133176	C₂×C₄	semidirect
408. #13133176	C₂×C₄	semidirect
411. #13133175	C₂×C₄	semidirect
412. #13133175	C₂×C₄	semidirect
413. #13133175	C₂×C₄	semidirect
414. #13133175	C₂×C₄	semidirect
417. #13133174	C₂×C₄	semidirect
418. #13133174	C₂×C₄	semidirect
419. #13133174	C₂×C₄	semidirect
420. #13133174	C₂×C₄	semidirect
423. #13133173	C₂×C₄	semidirect
424. #13133173	C₂×C₄	semidirect
425. #13133173	C₂×C₄	semidirect
426. #13133173	C₂×C₄	semidirect
427. C₂×C₄⋊Dic₅₃	C₂×C₄	semidirect
428. C₂×#11719919	C₂×C₄	semidirect
429. C₂×#11719919	C₂×C₄	semidirect
430. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
431. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
432. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
433. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
465. #125×C₅₃	C₂×C₄	semidirect
466. #125×C₅₃	C₂×C₄	semidirect
467. #125×C₅₃	C₂×C₄	semidirect
471. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
472. C₄×Q₈×C₅₃	C₂×C₄	semidirect
475. #117×C₅₃	C₂×C₄	semidirect
476. #117×C₅₃	C₂×C₄	semidirect
477. C₂×C₄⋊C₄×C₅₃	C₂×C₄	semidirect
999. #552	#6157	semidirect
1155. C₅₃	#34507	semidirect
1201. #125	C₂×#6157	semidirect
1202. #125	C₂×#6157	semidirect
1203. #125	C₂×#6157	semidirect
1235. C₂²⋊Q₈	C₂×#6157	semidirect
1243. C₄×Q₈	C₂×#6157	semidirect
1274. #117	C₂×#6157	semidirect
1275. #117	C₂×#6157	semidirect
1323. C₂×C₄⋊C₄	C₂×#6157	semidirect

Maximal subgroups

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

subgroup	index
#20291261	2
#20291257	2
#20291255	2
#20291253	2
#20291252	2
#20291250	2
#20291249	2
#20291235	2
#20291232	2
#20291226	2
#20291225	2
#20291224	2
#20291222	2
#20291215	2
#20291214	2
#20291213	2
#20291211	2
#20291209	2
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