Subgroups — #37548413

Order 23168.

958 conjugacy classes of subgroups.

The subgroup lattice has 954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26042031	C₂	1	1	yes	maximal, characteristic, complemented
2	#26042030	C₂	1	1	yes	maximal, characteristic, complemented
3	#26042028	C₂	1	1	yes	maximal, characteristic, complemented
4	#26042021	C₂	1	1	yes	maximal, characteristic, complemented
5	#26042003	C₂	1	1	yes	maximal, characteristic, complemented
6	#26042002	C₂	1	1	yes	maximal, characteristic, complemented
7	#26042001	C₂	1	1	yes	maximal, characteristic, complemented
8	#26042000	C₂	1	1	yes	maximal, characteristic, complemented
9	#26041998	C₂	1	1	yes	maximal, characteristic, complemented
10	#26041997	C₂	1	1	yes	maximal, characteristic, complemented
11	#26041957	C₂	1	1	yes	maximal, characteristic, complemented
12	#26041956	C₂	1	1	yes	maximal, characteristic, complemented
13	#26041956	C₂	1	1	yes	maximal, characteristic, complemented
14	#26041954	C₂	1	1	yes	maximal, characteristic, complemented
15	#26041953	C₂	1	1	yes	maximal, characteristic, complemented
16	#26041952	C₂	1	1	yes	maximal, characteristic, complemented
17	#26041899	C₂	1	1	yes	maximal, characteristic, complemented
18	#26041898	C₂	1	1	yes	maximal, characteristic, complemented
19	#26041895	C₂	1	1	yes	maximal, characteristic, complemented
20	#26041895	C₂	1	1	yes	maximal, characteristic, complemented
21	#26041893	C₂	1	1	yes	maximal, characteristic, complemented
22	#26041866	C₂	1	1	yes	maximal, characteristic, complemented
23	#26041865	C₂	1	1	yes	maximal, characteristic, complemented
24	#26041863	C₂	1	1	yes	maximal, characteristic, complemented
25	#26041863	C₂	1	1	yes	maximal, characteristic, complemented
26	#26041862	C₂	1	1	yes	maximal, characteristic, complemented
27	#26041861	C₂	1	1	yes	maximal, characteristic, complemented
28	#26041815	C₂	1	1	yes	maximal, characteristic, complemented
29	#26041809	C₂	1	1	yes	maximal, characteristic, complemented
30	#26041806	C₂	1	1	yes	maximal, characteristic, complemented
31	#542×C₁₈₁	C₂	1	1	yes	maximal, characteristic, complemented
32	#19153816	C₂²	1	1	yes	characteristic, complemented
33	#19153815	C₂²	1	1	yes	characteristic, complemented
34	#19153815	C₂²	1	1	yes	characteristic, complemented
35	#19153814	C₂²	1	1	yes	characteristic, complemented
36	#19153814	C₂²	1	1	yes	characteristic, complemented
37	#19153811	C₂²	1	1	yes	characteristic, complemented
38	#19153811	C₂²	1	1	yes	characteristic, complemented
39	#19153811	C₂²	1	1	yes	characteristic, complemented
40	#19153811	C₂²	1	1	yes	characteristic, complemented
41	#19153811	C₂²	1	1	yes	characteristic, complemented
42	#19153811	C₂²	1	1	yes	characteristic, complemented
43	#19153811	C₂²	1	1	yes	characteristic, complemented
44	#19153811	C₂²	1	1	yes	characteristic, complemented
45	#19153811	C₂²	1	1	yes	characteristic, complemented
46	#19153811	C₂²	1	1	yes	characteristic, complemented
47	#19153811	C₂²	1	1	yes	characteristic, complemented
48	#19153811	C₂²	1	1	yes	characteristic, complemented
49	#19153810	C₂²	1	1	yes	characteristic, complemented
50	#19153810	C₂²	1	1	yes	characteristic, complemented
51	#19153810	C₂²	1	1	yes	characteristic, complemented
52	#19153810	C₂²	1	1	yes	characteristic, complemented
53	#19153809	C₂²	1	1	yes	characteristic, complemented
54	#19153809	C₂²	1	1	yes	characteristic, complemented
55	#19153809	C₂²	1	1	yes	characteristic, complemented
56	#19153809	C₂²	1	1	yes	characteristic, complemented
57	#19153809	C₂²	1	1	yes	characteristic, complemented
58	#19153809	C₂²	1	1	yes	characteristic, complemented
59	#19153809	C₂²	1	1	yes	characteristic, complemented
60	#19153809	C₂²	1	1	yes	characteristic, complemented
61	#19153807	C₂²	1	1	yes	characteristic, complemented
62	#19153806	C₂²	1	1	yes	characteristic, complemented
63	#19153806	C₂²	1	1	yes	characteristic, complemented
64	#19153805	C₂²	1	1	yes	characteristic
65	#19153805	C₂²	1	1	yes	characteristic
66	#19153805	C₂²	1	1	yes	characteristic
67	#19153805	C₂²	1	1	yes	characteristic
68	#19153804	C₂²	1	1	yes	characteristic
69	#19153804	C₂²	1	1	yes	characteristic
70	#19153804	C₂²	1	1	yes	characteristic
71	#19153803	C₂²	1	1	yes	characteristic
72	#19153802	C₂²	1	1	yes	characteristic
73	#19153802	C₂²	1	1	yes	characteristic
74	#19153802	C₂²	1	1	yes	characteristic
75	#19153802	C₂²	1	1	yes	characteristic
76	#19153802	C₂²	1	1	yes	characteristic
77	#19153802	C₂²	1	1	yes	characteristic
78	#19153802	C₂²	1	1	yes	characteristic, complemented
79	#19153802	C₂²	1	1	yes	characteristic, complemented
80	#19153802	C₂²	1	1	yes	characteristic, complemented
81	#19153802	C₂²	1	1	yes	characteristic, complemented
82	#19153801	C₂²	1	1	yes	characteristic
83	#19153801	C₂²	1	1	yes	characteristic
84	#19153801	C₂²	1	1	yes	characteristic
85	#19153801	C₂²	1	1	yes	characteristic
86	#19153801	C₂²	1	1	yes	characteristic
87	#19153800	C₂²	1	1	yes	characteristic
88	#19153800	C₂²	1	1	yes	characteristic
89	#19153800	C₂²	1	1	yes	characteristic, complemented
90	#19153800	C₂²	1	1	yes	characteristic, complemented
91	#19153800	C₂²	1	1	yes	characteristic, complemented
92	#19153799	C₂²	1	1	yes	characteristic
93	#19153799	C₂²	1	1	yes	characteristic, complemented
94	#19153798	C₂²	1	1	yes	characteristic
95	#19153798	C₂²	1	1	yes	characteristic
96	#19153798	C₂²	1	1	yes	characteristic
97	#19153797	C₂²	1	1	yes	characteristic, complemented
98	#19153796	C₂²	1	1	yes	characteristic, complemented
99	#19153796	C₂²	1	1	yes	characteristic, complemented
100	#19153796	C₂²	1	1	yes	characteristic, complemented
101	#19153795	C₂²	1	1	yes	characteristic, complemented
102	#19153794	C₂²	1	1	yes	characteristic, complemented
103	#19153794	C₂²	1	1	yes	characteristic, complemented
104	#19153794	C₂²	1	1	yes	characteristic, complemented
105	#19153794	C₂²	1	1	yes	characteristic, complemented
106	#19153794	C₂²	1	1	yes	characteristic, complemented
107	#19153793	C₂²	1	1	yes	characteristic, complemented
108	#19153793	C₂²	1	1	yes	characteristic, complemented
109	#19153793	C₂²	1	1	yes	characteristic, complemented
110	#19153793	C₂²	1	1	yes	characteristic, complemented
111	#19153793	C₂²	1	1	yes	characteristic, complemented
112	#19153792	C₂²	1	1	yes	characteristic, complemented
113	#19153792	C₂²	1	1	yes	characteristic, complemented
114	#19153792	C₂²	1	1	yes	characteristic, complemented
115	#19153792	C₂²	1	1	yes	characteristic, complemented
116	#19153790	C₂²	1	1	yes	characteristic
117	#19153789	C₂²	1	1	yes	characteristic
118	#19153789	C₂²	1	1	yes	characteristic
119	#19153789	C₂²	1	1	yes	characteristic
120	#19153788	C₂²	1	1	yes	characteristic
121	#19153788	C₂²	1	1	yes	characteristic
122	#19153788	C₂²	1	1	yes	characteristic
123	#19153787	C₂²	1	1	yes	characteristic
124	#19153786	C₂²	1	1	yes	characteristic
125	#19153786	C₂²	1	1	yes	characteristic
126	#19153786	C₂²	1	1	yes	characteristic
127	#19153786	C₂²	1	1	yes	characteristic
128	#19153784	C₂²	1	1	yes	characteristic
129	#19153784	C₂²	1	1	yes	characteristic
130	#19153784	C₂²	1	1	yes	characteristic, complemented
131	#19153784	C₂²	1	1	yes	characteristic, complemented
132	Q₈×Dic₁₈₁	C₂²	1	1	yes	characteristic, complemented
133	Q₈×Dic₁₈₁	C₂²	1	1	yes	characteristic, complemented
134	C₄×Dic₃₆₂	C₂²	1	1	yes	characteristic, complemented
135	C₄×Dic₃₆₂	C₂²	1	1	yes	characteristic, complemented
136	C₄×Dic₃₆₂	C₂²	1	1	yes	characteristic, complemented
137	C₄×Dic₃₆₂	C₂²	1	1	yes	characteristic, complemented
138	#19153781	C₂²	1	1	yes	characteristic, complemented
139	#19153781	C₂²	1	1	yes	characteristic, complemented
140	C₄×D₇₂₄	C₂²	1	1	yes	characteristic
141	C₄×D₇₂₄	C₂²	1	1	yes	characteristic
142	D₄×Dic₁₈₁	C₂²	1	1	yes	characteristic
143	D₄×Dic₁₈₁	C₂²	1	1	yes	characteristic, complemented
144	#19153778	C₂²	1	1	yes	characteristic
145	#19153778	C₂²	1	1	yes	characteristic
146	C₄×C₂²⋊D₁₈₁	C₂²	1	1	yes	characteristic
147	C₄×C₂²⋊D₁₈₁	C₂²	1	1	yes	characteristic
148	C₄×C₂²⋊D₁₈₁	C₂²	1	1	yes	characteristic
149	C₄×C₂²⋊D₁₈₁	C₂²	1	1	yes	characteristic, complemented
150	#19153776	C₂²	1	1	yes	characteristic
151	#19153776	C₂²	1	1	yes	characteristic, complemented
152	#19153776	C₂²	1	1	yes	characteristic, complemented
153	#19153776	C₂²	1	1	yes	characteristic, complemented
154	#19153775	C₂²	1	1	yes	characteristic, complemented
155	#19153774	C₂²	1	1	yes	characteristic, complemented
156	#19153774	C₂²	1	1	yes	characteristic, complemented
157	#19153774	C₂²	1	1	yes	characteristic, complemented
158	#19153774	C₂²	1	1	yes	characteristic, complemented
159	#19153774	C₂²	1	1	yes	characteristic, complemented
160	#19153774	C₂²	1	1	yes	characteristic, complemented
161	#19153773	C₂²	1	1	yes	characteristic, complemented
162	#19153773	C₂²	1	1	yes	characteristic, complemented
163	#19153772	C₂²	1	1	yes	characteristic, complemented
164	#19153772	C₂²	1	1	yes	characteristic, complemented
165	C₂×#15668426	C₂²	1	1	yes	characteristic, complemented
166	C₂×#15668426	C₂²	1	1	yes	characteristic, complemented
167	C₂²⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic, complemented
168	C₂²⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic, complemented
169	C₂²⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic, complemented
170	C₂²⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic, complemented
171	C₂×C₄×Dic₁₈₁	C₂²	1	1	yes	characteristic, complemented
172	C₄⋊Q₈×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
173	#126×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
174	#126×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
175	#124×C₁₈₁	C₂²	1	1	yes	characteristic
176	#124×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
177	#124×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
178	#123×C₁₈₁	C₂²	1	1	yes	characteristic
179	#123×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
180	C₂²⋊Q₈×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
181	C₂²⋊Q₈×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
182	C₂²⋊Q₈×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
183	#121×C₁₈₁	C₂²	1	1	yes	characteristic
184	C₄×Q₈×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
185	C₄×D₄×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
186	#117×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
187	C₂³×D₁₈₁	C₂³	1	1	yes	characteristic
188	C₂³×D₁₈₁	C₂³	1	1	yes	characteristic
189	C₂×Dic₃₆₂	C₂³	1	1	yes	characteristic
190	C₂×Dic₃₆₂	C₂³	1	1	yes	characteristic
191	C₂×Dic₃₆₂	C₂³	1	1	yes	characteristic
192	C₂×Dic₃₆₂	C₂³	1	1	yes	characteristic
193	C₂×Dic₃₆₂	C₂³	1	1	yes	characteristic
194	C₂×Dic₃₆₂	C₂³	1	1	yes	characteristic
195	C₂×D₇₂₄	C₂³	1	1	yes	characteristic
196	C₂×D₇₂₄	C₂³	1	1	yes	characteristic
197	C₂×D₇₂₄	C₂³	1	1	yes	characteristic
198	C₂×D₇₂₄	C₂³	1	1	yes	characteristic
199	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
207	C₂²×Dic₁₈₁	C₂³	1	1	yes	characteristic
208	C₂²×Dic₁₈₁	C₂³	1	1	yes	characteristic
209	C₂²×Dic₁₈₁	C₂³	1	1	yes	characteristic
210	C₂²×Dic₁₈₁	C₂³	1	1	yes	characteristic
211	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
212	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
213	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
214	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
215	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
216	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
217	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
218	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
219	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
220	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
221	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
222	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
223	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
224	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
225	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
226	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
227	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
228	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
229	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
230	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
231	#15668428	C₂³	1	1	yes	characteristic
232	#15668428	C₂³	1	1	yes	characteristic
233	#15668428	C₂³	1	1	yes	characteristic
234	#15668428	C₂³	1	1	yes	characteristic
235	#15668428	C₂³	1	1	yes	characteristic
236	#15668428	C₂³	1	1	yes	characteristic
237	#15668428	C₂³	1	1	yes	characteristic
238	#15668428	C₂³	1	1	yes	characteristic
239	#15668428	C₂³	1	1	yes	characteristic
240	#15668428	C₂³	1	1	yes	characteristic
241	#15668428	C₂³	1	1	yes	characteristic
242	#15668428	C₂³	1	1	yes	characteristic
243	#15668428	C₂³	1	1	yes	characteristic
244	#15668428	C₂³	1	1	yes	characteristic
245	#15668428	C₂³	1	1	yes	characteristic
246	#15668428	C₂³	1	1	yes	characteristic
247	#15668428	C₂³	1	1	yes	characteristic
248	#15668428	C₂³	1	1	yes	characteristic
249	#15668428	C₂³	1	1	yes	characteristic
250	#15668428	C₂³	1	1	yes	characteristic
251	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
252	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
253	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
254	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
255	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
256	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
257	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
258	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
259	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
260	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
261	#15668426	C₂³	1	1	yes	characteristic
262	#15668426	C₂³	1	1	yes	characteristic
263	#15668426	C₂³	1	1	yes	characteristic
264	#15668426	C₂³	1	1	yes	characteristic
265	#15668426	C₂³	1	1	yes	characteristic
266	#15668426	C₂³	1	1	yes	characteristic
267	#15668426	C₂³	1	1	yes	characteristic
268	#15668426	C₂³	1	1	yes	characteristic
269	#15668426	C₂³	1	1	yes	characteristic
270	#15668426	C₂³	1	1	yes	characteristic
271	#15668426	C₂³	1	1	yes	characteristic
272	#15668426	C₂³	1	1	yes	characteristic
273	#15668426	C₂³	1	1	yes	characteristic
274	#15668426	C₂³	1	1	yes	characteristic
275	#15668426	C₂³	1	1	yes	characteristic
276	#15668426	C₂³	1	1	yes	characteristic
277	#15668426	C₂³	1	1	yes	characteristic
278	#15668426	C₂³	1	1	yes	characteristic
279	#15668426	C₂³	1	1	yes	characteristic
280	#15668426	C₂³	1	1	yes	characteristic
281	#15668426	C₂³	1	1	yes	characteristic
282	#15668426	C₂³	1	1	yes	characteristic
283	#15668426	C₂³	1	1	yes	characteristic
284	#15668426	C₂³	1	1	yes	characteristic
285	#15668426	C₂³	1	1	yes	characteristic
286	#15668426	C₂³	1	1	yes	characteristic
287	#15668426	C₂³	1	1	yes	characteristic
288	#15668426	C₂³	1	1	yes	characteristic
289	#15668426	C₂³	1	1	yes	characteristic
290	#15668426	C₂³	1	1	yes	characteristic
291	#15668426	C₂³	1	1	yes	characteristic
292	#15668426	C₂³	1	1	yes	characteristic
293	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
294	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
295	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
296	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
297	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
298	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
299	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
300	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
301	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
302	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
303	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
304	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
305	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
306	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
307	C₂×Q₈×C₁₈₁	C₂³	1	1	yes	characteristic
308	C₂×Q₈×C₁₈₁	C₂³	1	1	yes	characteristic
309	C₂×Q₈×C₁₈₁	C₂³	1	1	yes	characteristic
310	C₂×D₄×C₁₈₁	C₂³	1	1	yes	characteristic
311	C₂×D₄×C₁₈₁	C₂³	1	1	yes	characteristic
312	C₂×D₄×C₁₈₁	C₂³	1	1	yes	characteristic
313	C₂²×C₄×C₁₈₁	C₂³	1	1	yes	characteristic
314	C₂²×C₄×C₁₈₁	C₂³	1	1	yes	characteristic
315	C₂²×C₄×C₁₈₁	C₂³	1	1	yes	characteristic
316	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
317	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
318	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
319	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
320	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
321	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
322	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
323	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
324	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
325	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
326	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
327	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
328	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
329	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
330	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
331	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
332	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
333	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
334	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
335	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
336	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
337	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
338	C₄²×C₁₈₁	C₂³	1	1	yes	characteristic
339	C₄²×C₁₈₁	C₂³	1	1	yes	characteristic
340	C₄²×C₁₈₁	C₂³	1	1	yes	characteristic
341	C₄²×C₁₈₁	C₂³	1	1	yes	characteristic
342	C₂²×D₁₈₁	—	4	1	no	—
343	C₂²×D₁₈₁	—	4	1	no	—
344	C₂²×D₁₈₁	—	4	1	no	—
345	C₂²×D₁₈₁	—	4	1	no	—
346	C₂²×D₁₈₁	—	4	1	no	—
347	C₂²×D₁₈₁	—	4	1	no	—
348	C₂²×D₁₈₁	C₂⁴	1	1	yes	characteristic
349	C₂²×D₁₈₁	C₂⁴	1	1	yes	characteristic
350	C₂²×D₁₈₁	C₂⁴	1	1	yes	characteristic
351	C₂²×D₁₈₁	C₂⁴	1	1	yes	characteristic
352	Dic₃₆₂	—	4	1	no	—
353	Dic₃₆₂	—	4	1	no	—
354	Dic₃₆₂	—	4	1	no	—
355	Dic₃₆₂	—	4	1	no	—
356	Dic₃₆₂	—	4	1	no	—
357	Dic₃₆₂	—	4	1	no	—
358	D₇₂₄	—	4	1	no	—
359	D₇₂₄	—	4	1	no	—
360	D₇₂₄	—	4	1	no	—
361	D₇₂₄	—	4	1	no	—
362	C₂²⋊D₁₈₁	—	4	1	no	—
363	C₂²⋊D₁₈₁	—	4	1	no	—
364	C₂²⋊D₁₈₁	—	4	1	no	—
365	C₂²⋊D₁₈₁	—	4	1	no	—
366	C₂²⋊D₁₈₁	—	4	1	no	—
367	C₂²⋊D₁₈₁	—	4	1	no	—
368	C₂²⋊D₁₈₁	—	4	1	no	—
369	C₂²⋊D₁₈₁	—	4	1	no	—
370	C₂×Dic₁₈₁	—	4	1	no	—
371	C₂×Dic₁₈₁	—	4	1	no	—
372	C₂×Dic₁₈₁	—	4	1	no	—
373	C₂×Dic₁₈₁	—	4	1	no	—
374	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
375	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
376	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
377	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
378	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
379	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
380	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
381	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
382	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
383	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
384	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
385	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
386	C₄×D₁₈₁	—	4	1	no	—
387	C₄×D₁₈₁	—	4	1	no	—
388	C₄×D₁₈₁	—	4	1	no	—
389	C₄×D₁₈₁	—	4	1	no	—
390	C₄×D₁₈₁	—	4	1	no	—
391	C₄×D₁₈₁	—	4	1	no	—
392	C₄×D₁₈₁	—	4	1	no	—
393	C₄×D₁₈₁	—	4	1	no	—
394	C₂³×C₁₈₁	C₂⁴	1	1	yes	characteristic
395	C₂³×C₁₈₁	C₂⁴	1	1	yes	characteristic
396	C₂³×C₁₈₁	C₂⁴	1	1	yes	characteristic
397	Q₈×C₁₈₁	—	4	1	no	—
398	Q₈×C₁₈₁	—	4	1	no	—
399	Q₈×C₁₈₁	—	4	1	no	—
400	D₄×C₁₈₁	—	4	1	no	—
401	D₄×C₁₈₁	—	4	1	no	—
402	D₄×C₁₈₁	—	4	1	no	—
403	C₂×C₄×C₁₈₁	—	4	1	no	—
404	C₂×C₄×C₁₈₁	—	4	1	no	—
405	C₂×C₄×C₁₈₁	—	4	1	no	—
406	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
407	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
408	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
409	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
410	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
411	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
412	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
413	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
414	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
415	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
416	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
417	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
418	C₂²×C₁₈₁	—	2	1	no	—
419	C₂²×C₁₈₁	—	2	1	no	—
420	C₂²×C₁₈₁	—	2	1	no	—
421	C₂²×C₁₈₁	—	2	1	no	—
422	C₂²×C₁₈₁	—	2	1	no	—
423	C₂²×C₁₈₁	—	2	1	no	—
424	C₂²×C₁₈₁	—	2	1	no	—
425	C₂²×C₁₈₁	—	2	1	no	—
426	C₂²×C₁₈₁	—	2	1	no	—
427	C₂²×C₁₈₁	C₂⁵	1	1	yes	characteristic
428	C₂×D₁₈₁	—	2	1	no	—
429	C₂×D₁₈₁	—	2	1	no	—
430	C₂×D₁₈₁	—	2	1	no	—
431	C₂×D₁₈₁	—	2	1	no	—
432	C₂×D₁₈₁	—	2	1	no	—
433	C₂×D₁₈₁	—	2	1	no	—
434	C₂×D₁₈₁	—	2	1	no	—
435	C₂×D₁₈₁	—	2	1	no	—
436	C₂×D₁₈₁	—	2	1	no	—
437	C₂×D₁₈₁	—	2	1	no	—
438	C₂×D₁₈₁	—	2	1	no	—
439	C₂×D₁₈₁	—	2	1	no	—
440	C₂×D₁₈₁	—	8	2	no	—
441	C₂×D₁₈₁	—	8	2	no	—
442	C₄×C₁₈₁	—	2	1	no	—
443	C₄×C₁₈₁	—	2	1	no	—
444	C₄×C₁₈₁	—	2	1	no	—
445	C₄×C₁₈₁	—	2	1	no	—
446	C₄×C₁₈₁	—	2	1	no	—
447	C₄×C₁₈₁	—	2	1	no	—
448	C₄×C₁₈₁	—	2	1	no	—
449	C₄×C₁₈₁	—	2	1	no	—
450	C₄×C₁₈₁	—	2	1	no	—
451	C₄×C₁₈₁	—	2	1	no	—
452	C₄×C₁₈₁	—	2	1	no	—
453	C₄×C₁₈₁	—	2	1	no	—
454	Dic₁₈₁	—	2	1	no	—
455	Dic₁₈₁	—	2	1	no	—
456	Dic₁₈₁	—	2	1	no	—
457	Dic₁₈₁	—	2	1	no	—
458	Dic₁₈₁	—	2	1	no	—
459	Dic₁₈₁	—	2	1	no	—
460	Dic₁₈₁	—	2	1	no	—
461	Dic₁₈₁	—	2	1	no	—
462	Dic₁₈₁	—	2	1	no	—
463	Dic₁₈₁	—	2	1	no	—
464	Dic₁₈₁	—	2	1	no	—
465	Dic₁₈₁	—	2	1	no	—
466	C₂×C₁₈₁	—	4	1	no	—
467	C₂×C₁₈₁	—	4	1	no	—
468	C₂×C₁₈₁	—	4	1	no	—
469	C₂×C₁₈₁	#585	1	1	yes	characteristic
470	C₂×C₁₈₁	#585	1	1	yes	characteristic
471	C₂×C₁₈₁	#585	1	1	yes	characteristic
472	D₁₈₁	—	4	1	no	—
473	D₁₈₁	—	4	1	no	—
474	D₁₈₁	—	4	1	no	—
475	D₁₈₁	—	4	1	no	—
476	C₁₈₁	#3568	1	1	yes	characteristic, complemented, Sylow
477	#3568	—	181	1	no	maximal, Sylow
478	#563	—	181	1	no	—
479	#563	—	181	1	no	—
480	#563	—	181	1	no	—
481	H(3,𝔽₄)	—	181	1	no	—
482	#556	—	181	1	no	—
483	#556	—	181	1	no	—
484	#556	—	181	1	no	—
485	#556	—	181	1	no	—
486	#556	—	181	1	no	—
487	#556	—	181	1	no	—
488	#551	—	181	1	no	—
489	#551	—	181	1	no	—
490	#551	—	181	1	no	—
491	#551	—	181	1	no	—
492	#551	—	181	1	no	—
493	#551	—	181	1	no	—
494	#542	—	181	1	no	—
495	#542	—	181	1	no	—
496	#542	—	181	1	no	—
497	#542	—	181	1	no	—
498	#542	—	181	1	no	—
499	#542	D₁₈₁	1	1	yes	characteristic, complemented
500	#538	—	181	1	no	—
501	#538	—	181	1	no	—
502	#538	—	181	1	no	—
503	#538	—	181	1	no	—
504	#538	—	181	1	no	—
505	#538	—	181	1	no	—
506	#529	—	181	1	no	—
507	#529	—	181	1	no	—
508	#529	—	181	1	no	—
509	C₄⋊Q₈	—	181	1	no	—
510	C₄⋊Q₈	—	181	1	no	—
511	C₄⋊Q₈	—	181	1	no	—
512	C₄⋊Q₈	—	181	1	no	—
513	C₄⋊Q₈	—	181	1	no	—
514	C₄⋊Q₈	C₂×D₁₈₁	1	1	yes	characteristic, complemented
515	#126	—	181	1	no	—
516	#126	—	181	1	no	—
517	#126	—	181	1	no	—
518	#126	—	181	1	no	—
519	#126	—	181	1	no	—
520	#126	—	181	1	no	—
521	#126	—	181	1	no	—
522	#126	—	181	1	no	—
523	#126	—	181	1	no	—
524	#126	—	181	1	no	—
525	#126	—	181	1	no	—
526	#126	—	181	1	no	—
527	#126	—	181	1	no	—
528	#126	—	181	1	no	—
529	#126	—	181	1	no	—
530	#126	—	181	1	no	—
531	#126	—	181	1	no	—
532	#126	—	181	1	no	—
533	#126	—	181	1	no	—
534	#126	—	181	1	no	—
535	#126	—	181	1	no	—
536	#126	—	181	1	no	—
537	#126	—	181	1	no	—
538	#126	—	181	1	no	—
539	#126	C₂×D₁₈₁	1	1	yes	characteristic, complemented
540	#126	C₂×D₁₈₁	1	1	yes	characteristic, complemented
541	#125	—	181	1	no	—
542	#125	—	181	1	no	—
543	#125	—	181	1	no	—
544	#124	—	181	1	no	—
545	#124	—	181	1	no	—
546	#124	—	181	1	no	—
547	#124	—	181	1	no	—
548	#124	—	181	1	no	—
549	#124	—	181	1	no	—
550	#124	—	181	1	no	—
551	#124	—	181	1	no	—
552	#124	—	181	1	no	—
553	#124	—	181	1	no	—
554	#124	—	181	1	no	—
555	#124	—	181	1	no	—
556	#124	—	181	1	no	—
557	#124	—	181	1	no	—
558	#124	—	181	1	no	—
559	#124	—	181	1	no	—
560	#124	—	181	1	no	—
561	#124	—	181	1	no	—
562	#124	C₂×D₁₈₁	1	1	yes	characteristic
563	#124	C₂×D₁₈₁	1	1	yes	characteristic, complemented
564	#124	C₂×D₁₈₁	1	1	yes	characteristic, complemented
565	#123	—	181	1	no	—
566	#123	—	181	1	no	—
567	#123	—	181	1	no	—
568	#123	—	181	1	no	—
569	#123	—	181	1	no	—
570	#123	—	181	1	no	—
571	#123	—	181	1	no	—
572	#123	—	181	1	no	—
573	#123	—	181	1	no	—
574	#123	—	181	1	no	—
575	#123	—	181	1	no	—
576	#123	—	181	1	no	—
577	#123	—	181	1	no	—
578	#123	—	181	1	no	—
579	#123	—	181	1	no	—
580	#123	—	181	1	no	—
581	#123	C₂×D₁₈₁	1	1	yes	characteristic
582	#123	C₂×D₁₈₁	1	1	yes	characteristic, complemented
583	C₂²⋊Q₈	—	181	1	no	—
584	C₂²⋊Q₈	—	181	1	no	—
585	C₂²⋊Q₈	—	181	1	no	—
586	C₂²⋊Q₈	—	181	1	no	—
587	C₂²⋊Q₈	—	181	1	no	—
588	C₂²⋊Q₈	—	181	1	no	—
589	C₂²⋊Q₈	—	181	1	no	—
590	C₂²⋊Q₈	—	181	1	no	—
591	C₂²⋊Q₈	—	181	1	no	—
592	C₂²⋊Q₈	—	181	1	no	—
593	C₂²⋊Q₈	—	181	1	no	—
594	C₂²⋊Q₈	—	181	1	no	—
595	C₂²⋊Q₈	—	181	1	no	—
596	C₂²⋊Q₈	—	181	1	no	—
597	C₂²⋊Q₈	—	181	1	no	—
598	C₂²⋊Q₈	—	181	1	no	—
599	C₂²⋊Q₈	—	181	1	no	—
600	C₂²⋊Q₈	—	181	1	no	—
601	C₂²⋊Q₈	C₂×D₁₈₁	1	1	yes	characteristic, complemented
602	C₂²⋊Q₈	C₂×D₁₈₁	1	1	yes	characteristic, complemented
603	C₂²⋊Q₈	C₂×D₁₈₁	1	1	yes	characteristic, complemented
604	#121	—	181	1	no	—
605	#121	—	181	1	no	—
606	#121	—	181	1	no	—
607	#121	—	181	1	no	—
608	#121	—	181	1	no	—
609	#121	—	181	1	no	—
610	#121	—	181	1	no	—
611	#121	—	181	1	no	—
612	#121	C₂×D₁₈₁	1	1	yes	characteristic
613	#120	—	181	1	no	—
614	#120	—	181	1	no	—
615	#120	—	181	1	no	—
616	#120	—	181	1	no	—
617	#120	—	181	1	no	—
618	#120	—	181	1	no	—
619	#120	—	181	1	no	—
620	#120	—	181	1	no	—
621	C₄×Q₈	—	181	1	no	—
622	C₄×Q₈	—	181	1	no	—
623	C₄×Q₈	—	181	1	no	—
624	C₄×Q₈	—	181	1	no	—
625	C₄×Q₈	—	181	1	no	—
626	C₄×Q₈	—	181	1	no	—
627	C₄×Q₈	—	181	1	no	—
628	C₄×Q₈	—	181	1	no	—
629	C₄×Q₈	C₂×D₁₈₁	1	1	yes	characteristic, complemented
630	C₄×D₄	—	181	1	no	—
631	C₄×D₄	—	181	1	no	—
632	C₄×D₄	—	181	1	no	—
633	C₄×D₄	—	181	1	no	—
634	C₄×D₄	—	181	1	no	—
635	C₄×D₄	—	181	1	no	—
636	C₄×D₄	—	181	1	no	—
637	C₄×D₄	—	181	1	no	—
638	C₄×D₄	—	181	1	no	—
639	C₄×D₄	—	181	1	no	—
640	C₄×D₄	—	181	1	no	—
641	C₄×D₄	—	181	1	no	—
642	C₄×D₄	—	181	1	no	—
643	C₄×D₄	—	181	1	no	—
644	C₄×D₄	C₂×D₁₈₁	1	1	yes	characteristic, complemented
645	#117	—	181	1	no	—
646	#117	—	181	1	no	—
647	#117	—	181	1	no	—
648	#117	—	181	1	no	—
649	#117	—	181	1	no	—
650	#117	—	181	1	no	—
651	#117	—	181	1	no	—
652	#117	—	181	1	no	—
653	#117	—	181	1	no	—
654	#117	—	181	1	no	—
655	#117	—	181	1	no	—
656	#117	C₂×D₁₈₁	1	1	yes	characteristic, complemented
657	C₂×C₂²⋊C₄	—	181	1	no	—
658	C₂×C₂²⋊C₄	—	181	1	no	—
659	C₂×C₂²⋊C₄	—	181	1	no	—
660	C₂×C₂²⋊C₄	—	181	1	no	—
661	C₂×C₂²⋊C₄	—	181	1	no	—
662	C₂×C₂²⋊C₄	—	181	1	no	—
663	C₂×C₄²	—	181	1	no	—
664	C₂⁴	—	181	1	no	—
665	C₂⁴	—	181	1	no	—
666	C₂×Q₈	—	181	1	no	—
667	C₂×Q₈	—	181	1	no	—
668	C₂×Q₈	—	181	1	no	—
669	C₂×Q₈	—	181	1	no	—
670	C₂×Q₈	—	181	1	no	—
671	C₂×Q₈	—	181	1	no	—
672	C₂×Q₈	C₂²×D₁₈₁	1	1	yes	characteristic
673	C₂×Q₈	C₂²×D₁₈₁	1	1	yes	characteristic
674	C₂×Q₈	C₂²×D₁₈₁	1	1	yes	characteristic
675	C₂×D₄	—	181	1	no	—
676	C₂×D₄	—	181	1	no	—
677	C₂×D₄	—	181	1	no	—
678	C₂×D₄	—	181	1	no	—
679	C₂×D₄	—	181	1	no	—
680	C₂×D₄	—	181	1	no	—
681	C₂×D₄	—	181	1	no	—
682	C₂×D₄	—	181	1	no	—
683	C₂×D₄	—	181	1	no	—
684	C₂×D₄	—	181	1	no	—
685	C₂×D₄	—	181	1	no	—
686	C₂×D₄	—	181	1	no	—
687	C₂×D₄	C₂²×D₁₈₁	1	1	yes	characteristic
688	C₂×D₄	C₂²×D₁₈₁	1	1	yes	characteristic
689	C₂×D₄	C₂²×D₁₈₁	1	1	yes	characteristic
690	C₂²×C₄	—	181	1	no	—
691	C₂²×C₄	—	181	1	no	—
692	C₂²×C₄	—	181	1	no	—
693	C₂²×C₄	—	181	1	no	—
694	C₂²×C₄	—	181	1	no	—
695	C₂²×C₄	—	181	1	no	—
696	C₂²×C₄	—	181	1	no	—
697	C₂²×C₄	—	181	1	no	—
698	C₂²×C₄	—	181	1	no	—
699	C₂²×C₄	—	181	1	no	—
700	C₂²×C₄	—	181	1	no	—
701	C₂²×C₄	—	181	1	no	—
702	C₂²×C₄	C₂²×D₁₈₁	1	1	yes	characteristic
703	C₂²×C₄	C₂²×D₁₈₁	1	1	yes	characteristic
704	C₂²×C₄	C₂²×D₁₈₁	1	1	yes	characteristic
705	C₄⋊C₄	—	181	1	no	—
706	C₄⋊C₄	—	181	1	no	—
707	C₄⋊C₄	—	181	1	no	—
708	C₄⋊C₄	—	181	1	no	—
709	C₄⋊C₄	—	181	1	no	—
710	C₄⋊C₄	—	181	1	no	—
711	C₄⋊C₄	—	181	1	no	—
712	C₄⋊C₄	—	181	1	no	—
713	C₄⋊C₄	—	181	1	no	—
714	C₄⋊C₄	—	181	1	no	—
715	C₄⋊C₄	—	181	1	no	—
716	C₄⋊C₄	—	181	1	no	—
717	C₄⋊C₄	—	181	1	no	—
718	C₄⋊C₄	—	181	1	no	—
719	C₄⋊C₄	—	181	1	no	—
720	C₄⋊C₄	—	181	1	no	—
721	C₄⋊C₄	—	181	1	no	—
722	C₄⋊C₄	—	181	1	no	—
723	C₄⋊C₄	—	181	1	no	—
724	C₄⋊C₄	—	181	1	no	—
725	C₄⋊C₄	—	181	1	no	—
726	C₄⋊C₄	—	181	1	no	—
727	C₄⋊C₄	—	181	1	no	—
728	C₄⋊C₄	—	181	1	no	—
729	C₄⋊C₄	—	181	1	no	—
730	C₄⋊C₄	—	181	1	no	—
731	C₄⋊C₄	—	181	1	no	—
732	C₄⋊C₄	—	181	1	no	—
733	C₄⋊C₄	—	181	1	no	—
734	C₄⋊C₄	—	181	1	no	—
735	C₄⋊C₄	—	181	1	no	—
736	C₄⋊C₄	—	181	1	no	—
737	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
738	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
739	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
740	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
741	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
742	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
743	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
744	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
745	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
746	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
747	C₂²⋊C₄	—	181	1	no	—
748	C₂²⋊C₄	—	181	1	no	—
749	C₂²⋊C₄	—	181	1	no	—
750	C₂²⋊C₄	—	181	1	no	—
751	C₂²⋊C₄	—	181	1	no	—
752	C₂²⋊C₄	—	181	1	no	—
753	C₂²⋊C₄	—	181	1	no	—
754	C₂²⋊C₄	—	181	1	no	—
755	C₂²⋊C₄	—	181	1	no	—
756	C₂²⋊C₄	—	181	1	no	—
757	C₂²⋊C₄	—	181	1	no	—
758	C₂²⋊C₄	—	181	1	no	—
759	C₂²⋊C₄	—	181	1	no	—
760	C₂²⋊C₄	—	181	1	no	—
761	C₂²⋊C₄	—	181	1	no	—
762	C₂²⋊C₄	—	181	1	no	—
763	C₂²⋊C₄	—	181	1	no	—
764	C₂²⋊C₄	—	181	1	no	—
765	C₂²⋊C₄	—	181	1	no	—
766	C₂²⋊C₄	—	181	1	no	—
767	C₂²⋊C₄	—	181	1	no	—
768	C₂²⋊C₄	—	181	1	no	—
769	C₂²⋊C₄	—	181	1	no	—
770	C₂²⋊C₄	—	181	1	no	—
771	C₂²⋊C₄	—	181	1	no	—
772	C₂²⋊C₄	—	181	1	no	—
773	C₂²⋊C₄	—	181	1	no	—
774	C₂²⋊C₄	—	181	1	no	—
775	C₂²⋊C₄	—	181	1	no	—
776	C₂²⋊C₄	—	181	1	no	—
777	C₂²⋊C₄	—	181	1	no	—
778	C₂²⋊C₄	—	181	1	no	—
779	C₂²⋊C₄	—	181	1	no	—
780	C₂²⋊C₄	—	181	1	no	—
781	C₂²⋊C₄	—	181	1	no	—
782	C₂²⋊C₄	—	181	1	no	—
783	C₂²⋊C₄	—	181	1	no	—
784	C₂²⋊C₄	—	181	1	no	—
785	C₂²⋊C₄	—	181	1	no	—
786	C₂²⋊C₄	—	181	1	no	—
787	C₂²⋊C₄	—	181	1	no	—
788	C₂²⋊C₄	—	181	1	no	—
789	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
790	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
791	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
792	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
793	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
794	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
795	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
796	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
797	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
798	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
799	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
800	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
801	C₄²	—	181	1	no	—
802	C₄²	—	181	1	no	—
803	C₄²	—	181	1	no	—
804	C₄²	—	181	1	no	—
805	C₄²	—	181	1	no	—
806	C₄²	—	181	1	no	—
807	C₄²	—	181	1	no	—
808	C₄²	—	181	1	no	—
809	C₄²	—	181	1	no	—
810	C₄²	—	181	1	no	—
811	C₄²	—	181	1	no	—
812	C₄²	—	181	1	no	—
813	C₄²	—	181	1	no	—
814	C₄²	—	181	1	no	—
815	C₄²	C₂²×D₁₈₁	1	1	yes	characteristic
816	C₄²	C₂²×D₁₈₁	1	1	yes	characteristic
817	C₄²	C₂²×D₁₈₁	1	1	yes	characteristic
818	C₄²	C₂²×D₁₈₁	1	1	yes	characteristic
819	C₂³	—	181	1	no	—
820	C₂³	—	181	1	no	—
821	C₂³	—	181	1	no	—
822	C₂³	—	181	1	no	—
823	C₂³	—	724	1	no	—
824	C₂³	—	724	1	no	—
825	C₂³	—	724	1	no	—
826	C₂³	—	724	1	no	—
827	C₂³	—	724	1	no	—
828	C₂³	—	724	1	no	—
829	C₂³	C₂³×D₁₈₁	1	1	yes	characteristic
830	C₂³	C₂³×D₁₈₁	1	1	yes	characteristic
831	C₂³	C₂³×D₁₈₁	1	1	yes	characteristic
832	Q₈	—	4	1	no	—
833	Q₈	—	4	1	no	—
834	Q₈	—	4	1	no	—
835	Q₈	—	724	1	no	—
836	Q₈	—	724	1	no	—
837	Q₈	—	724	1	no	—
838	Q₈	—	724	1	no	—
839	Q₈	—	724	1	no	—
840	Q₈	—	724	1	no	—
841	D₄	—	4	1	no	—
842	D₄	—	4	1	no	—
843	D₄	—	4	1	no	—
844	D₄	—	724	1	no	—
845	D₄	—	724	1	no	—
846	D₄	—	724	1	no	—
847	D₄	—	724	1	no	—
848	D₄	—	724	1	no	—
849	D₄	—	724	1	no	—
850	D₄	—	724	1	no	—
851	D₄	—	724	1	no	—
852	D₄	—	724	1	no	—
853	D₄	—	724	1	no	—
854	D₄	—	724	1	no	—
855	D₄	—	724	1	no	—
856	C₂×C₄	—	4	1	no	—
857	C₂×C₄	—	4	1	no	—
858	C₂×C₄	—	4	1	no	—
859	C₂×C₄	—	181	1	no	—
860	C₂×C₄	—	181	1	no	—
861	C₂×C₄	—	181	1	no	—
862	C₂×C₄	—	181	1	no	—
863	C₂×C₄	—	181	1	no	—
864	C₂×C₄	—	181	1	no	—
865	C₂×C₄	—	181	1	no	—
866	C₂×C₄	—	181	1	no	—
867	C₂×C₄	—	181	1	no	—
868	C₂×C₄	—	181	1	no	—
869	C₂×C₄	—	181	1	no	—
870	C₂×C₄	—	181	1	no	—
871	C₂×C₄	—	724	1	no	—
872	C₂×C₄	—	724	1	no	—
873	C₂×C₄	—	724	1	no	—
874	C₂×C₄	—	724	1	no	—
875	C₂×C₄	—	724	1	no	—
876	C₂×C₄	—	724	1	no	—
877	C₂×C₄	—	724	1	no	—
878	C₂×C₄	—	724	1	no	—
879	C₂×C₄	—	724	1	no	—
880	C₂×C₄	—	724	1	no	—
881	C₂×C₄	—	724	1	no	—
882	C₂×C₄	—	724	1	no	—
883	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
884	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
885	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
886	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
887	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
888	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
889	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
890	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
891	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
892	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
893	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
894	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
895	C₂²	—	2	1	no	—
896	C₂²	—	2	1	no	—
897	C₂²	—	2	1	no	—
898	C₂²	—	2	1	no	—
899	C₂²	—	2	1	no	—
900	C₂²	—	2	1	no	—
901	C₂²	—	2	1	no	—
902	C₂²	—	2	1	no	—
903	C₂²	—	2	1	no	—
904	C₂²	—	362	1	no	—
905	C₂²	—	362	1	no	—
906	C₂²	—	362	1	no	—
907	C₂²	—	362	1	no	—
908	C₂²	—	362	1	no	—
909	C₂²	—	362	1	no	—
910	C₂²	—	362	1	no	—
911	C₂²	—	362	1	no	—
912	C₂²	—	362	1	no	—
913	C₂²	—	362	1	no	—
914	C₂²	—	362	1	no	—
915	C₂²	—	362	1	no	—
916	C₂²	—	1448	2	no	—
917	C₂²	—	1448	2	no	—
918	C₂²	C₂⁴×D₁₈₁	1	1	yes	characteristic
919	C₄	—	2	1	no	—
920	C₄	—	2	1	no	—
921	C₄	—	2	1	no	—
922	C₄	—	2	1	no	—
923	C₄	—	2	1	no	—
924	C₄	—	2	1	no	—
925	C₄	—	2	1	no	—
926	C₄	—	2	1	no	—
927	C₄	—	2	1	no	—
928	C₄	—	2	1	no	—
929	C₄	—	2	1	no	—
930	C₄	—	2	1	no	—
931	C₄	—	362	1	no	—
932	C₄	—	362	1	no	—
933	C₄	—	362	1	no	—
934	C₄	—	362	1	no	—
935	C₄	—	362	1	no	—
936	C₄	—	362	1	no	—
937	C₄	—	362	1	no	—
938	C₄	—	362	1	no	—
939	C₄	—	362	1	no	—
940	C₄	—	362	1	no	—
941	C₄	—	362	1	no	—
942	C₄	—	362	1	no	—
943	C₂	—	4	1	no	—
944	C₂	—	4	1	no	—
945	C₂	—	4	1	no	—
946	C₂	—	724	1	no	—
947	C₂	—	724	1	no	—
948	C₂	—	724	1	no	—
949	C₂	—	724	1	no	—
950	C₂	#26042114	1	1	yes	characteristic
951	C₂	#26042115	1	1	yes	characteristic
952	C₂	#26042116	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₈₁
commutator, socle, cosocle	C₂²×C₁₈₁	C₂⁵
Fitting	#542×C₁₈₁	C₂
hypercenter	#542	D₁₈₁
hypocenter	C₁₈₁	#3568
LCS	G ▷ C₂²×C₁₈₁ ▷ C₁₈₁
UCS	C₁ ◁ C₂² ◁ #542

Complements

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

N	H ≅ G/N	type
1. #26042031	C₂	semidirect
2. #26042030	C₂	semidirect
3. #26042028	C₂	semidirect
4. #26042021	C₂	semidirect
5. #26042003	C₂	semidirect
6. #26042002	C₂	semidirect
7. #26042001	C₂	semidirect
8. #26042000	C₂	semidirect
9. #26041998	C₂	semidirect
10. #26041997	C₂	semidirect
11. #26041957	C₂	semidirect
12. #26041956	C₂	semidirect
13. #26041956	C₂	semidirect
14. #26041954	C₂	semidirect
15. #26041953	C₂	semidirect
16. #26041952	C₂	semidirect
17. #26041899	C₂	semidirect
18. #26041898	C₂	semidirect
19. #26041895	C₂	semidirect
20. #26041895	C₂	semidirect
21. #26041893	C₂	semidirect
22. #26041866	C₂	semidirect
23. #26041865	C₂	semidirect
24. #26041863	C₂	semidirect
25. #26041863	C₂	semidirect
26. #26041862	C₂	semidirect
27. #26041861	C₂	semidirect
28. #26041815	C₂	semidirect
29. #26041809	C₂	semidirect
30. #26041806	C₂	semidirect
31. #542×C₁₈₁	C₂	semidirect
32. #19153816	C₂²	semidirect
33. #19153815	C₂²	semidirect
34. #19153815	C₂²	semidirect
35. #19153814	C₂²	semidirect
36. #19153814	C₂²	semidirect
37. #19153811	C₂²	semidirect
38. #19153811	C₂²	semidirect
39. #19153811	C₂²	semidirect
40. #19153811	C₂²	semidirect
41. #19153811	C₂²	semidirect
42. #19153811	C₂²	semidirect
43. #19153811	C₂²	semidirect
44. #19153811	C₂²	semidirect
45. #19153811	C₂²	semidirect
46. #19153811	C₂²	semidirect
47. #19153811	C₂²	semidirect
48. #19153811	C₂²	semidirect
49. #19153810	C₂²	semidirect
50. #19153810	C₂²	semidirect
51. #19153810	C₂²	semidirect
52. #19153810	C₂²	semidirect
53. #19153809	C₂²	semidirect
54. #19153809	C₂²	semidirect
55. #19153809	C₂²	semidirect
56. #19153809	C₂²	semidirect
57. #19153809	C₂²	semidirect
58. #19153809	C₂²	semidirect
59. #19153809	C₂²	semidirect
60. #19153809	C₂²	semidirect
61. #19153807	C₂²	semidirect
62. #19153806	C₂²	semidirect
63. #19153806	C₂²	semidirect
78. #19153802	C₂²	semidirect
79. #19153802	C₂²	semidirect
80. #19153802	C₂²	semidirect
81. #19153802	C₂²	semidirect
89. #19153800	C₂²	semidirect
90. #19153800	C₂²	semidirect
91. #19153800	C₂²	semidirect
93. #19153799	C₂²	semidirect
97. #19153797	C₂²	semidirect
98. #19153796	C₂²	semidirect
99. #19153796	C₂²	semidirect
100. #19153796	C₂²	semidirect
101. #19153795	C₂²	semidirect
102. #19153794	C₂²	semidirect
103. #19153794	C₂²	semidirect
104. #19153794	C₂²	semidirect
105. #19153794	C₂²	semidirect
106. #19153794	C₂²	semidirect
107. #19153793	C₂²	semidirect
108. #19153793	C₂²	semidirect
109. #19153793	C₂²	semidirect
110. #19153793	C₂²	semidirect
111. #19153793	C₂²	semidirect
112. #19153792	C₂²	semidirect
113. #19153792	C₂²	semidirect
114. #19153792	C₂²	semidirect
115. #19153792	C₂²	semidirect
130. #19153784	C₂²	semidirect
131. #19153784	C₂²	semidirect
132. Q₈×Dic₁₈₁	C₂²	semidirect
133. Q₈×Dic₁₈₁	C₂²	semidirect
134. C₄×Dic₃₆₂	C₂²	semidirect
135. C₄×Dic₃₆₂	C₂²	semidirect
136. C₄×Dic₃₆₂	C₂²	semidirect
137. C₄×Dic₃₆₂	C₂²	semidirect
138. #19153781	C₂²	semidirect
139. #19153781	C₂²	semidirect
143. D₄×Dic₁₈₁	C₂²	semidirect
149. C₄×C₂²⋊D₁₈₁	C₂²	semidirect
151. #19153776	C₂²	semidirect
152. #19153776	C₂²	semidirect
153. #19153776	C₂²	semidirect
154. #19153775	C₂²	semidirect
155. #19153774	C₂²	semidirect
156. #19153774	C₂²	semidirect
157. #19153774	C₂²	semidirect
158. #19153774	C₂²	semidirect
159. #19153774	C₂²	semidirect
160. #19153774	C₂²	semidirect
161. #19153773	C₂²	semidirect
162. #19153773	C₂²	semidirect
163. #19153772	C₂²	semidirect
164. #19153772	C₂²	semidirect
165. C₂×#15668426	C₂²	semidirect
166. C₂×#15668426	C₂²	semidirect
167. C₂²⋊C₄×D₁₈₁	C₂²	semidirect
168. C₂²⋊C₄×D₁₈₁	C₂²	semidirect
169. C₂²⋊C₄×D₁₈₁	C₂²	semidirect
170. C₂²⋊C₄×D₁₈₁	C₂²	semidirect
171. C₂×C₄×Dic₁₈₁	C₂²	semidirect
172. C₄⋊Q₈×C₁₈₁	C₂²	semidirect
173. #126×C₁₈₁	C₂²	semidirect
174. #126×C₁₈₁	C₂²	semidirect
176. #124×C₁₈₁	C₂²	semidirect
177. #124×C₁₈₁	C₂²	semidirect
179. #123×C₁₈₁	C₂²	semidirect
180. C₂²⋊Q₈×C₁₈₁	C₂²	semidirect
181. C₂²⋊Q₈×C₁₈₁	C₂²	semidirect
182. C₂²⋊Q₈×C₁₈₁	C₂²	semidirect
184. C₄×Q₈×C₁₈₁	C₂²	semidirect
185. C₄×D₄×C₁₈₁	C₂²	semidirect
186. #117×C₁₈₁	C₂²	semidirect
476. C₁₈₁	#3568	semidirect
499. #542	D₁₈₁	semidirect
514. C₄⋊Q₈	C₂×D₁₈₁	semidirect
539. #126	C₂×D₁₈₁	semidirect
540. #126	C₂×D₁₈₁	semidirect
563. #124	C₂×D₁₈₁	semidirect
564. #124	C₂×D₁₈₁	semidirect
582. #123	C₂×D₁₈₁	semidirect
601. C₂²⋊Q₈	C₂×D₁₈₁	semidirect
602. C₂²⋊Q₈	C₂×D₁₈₁	semidirect
603. C₂²⋊Q₈	C₂×D₁₈₁	semidirect
629. C₄×Q₈	C₂×D₁₈₁	semidirect
644. C₄×D₄	C₂×D₁₈₁	semidirect
656. #117	C₂×D₁₈₁	semidirect

Maximal subgroups

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

subgroup	index
#26042031	2
#26042030	2
#26042028	2
#26042021	2
#26042003	2
#26042002	2
#26042001	2
#26042000	2
#26041998	2
#26041997	2
#26041957	2
#26041956	2
#26041954	2
#26041953	2
#26041952	2
#26041899	2
#26041898	2
#26041895	2
#26041893	2
#26041866	2
#26041865	2
#26041863	2
#26041862	2
#26041861	2
#26041815	2
#26041809	2
#26041806	2
#542×C₁₈₁	2
#3568	181