Subgroups — #37548334

Order 23168.

936 conjugacy classes of subgroups.

The subgroup lattice has 920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26042033	C₂	1	1	yes	maximal, characteristic, complemented
2	#26042031	C₂	1	1	yes	maximal, characteristic, complemented
3	#26042030	C₂	1	1	yes	maximal, characteristic, complemented
4	#26042028	C₂	1	1	yes	maximal, characteristic, complemented
5	#26042002	C₂	1	1	yes	maximal, characteristic, complemented
6	#26041997	C₂	1	1	yes	maximal, characteristic, complemented
7	#26041990	C₂	1	1	yes	maximal, characteristic, complemented
8	#26041985	C₂	1	1	yes	maximal, characteristic, complemented
9	#26041970	C₂	1	1	yes	maximal, characteristic, complemented
10	#26041967	C₂	1	1	yes	maximal, characteristic, complemented
11	#26041965	C₂	1	1	yes	maximal, characteristic, complemented
12	#26041961	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	#26041954	C₂	1	1	yes	maximal, characteristic, complemented
16	#26041953	C₂	1	1	yes	maximal, characteristic, complemented
17	#26041909	C₂	1	1	yes	maximal, characteristic, complemented
18	#26041904	C₂	1	1	yes	maximal, characteristic, complemented
19	#26041901	C₂	1	1	yes	maximal, characteristic, complemented
20	#26041895	C₂	1	1	yes	maximal, characteristic, complemented
21	#26041888	C₂	1	1	yes	maximal, characteristic, complemented
22	#26041888	C₂	1	1	yes	maximal, characteristic, complemented
23	#26041886	C₂	1	1	yes	maximal, characteristic, complemented
24	#26041877	C₂	1	1	yes	maximal, characteristic, complemented
25	#26041877	C₂	1	1	yes	maximal, characteristic, complemented
26	#26041875	C₂	1	1	yes	maximal, characteristic, complemented
27	#26041868	C₂	1	1	yes	maximal, characteristic
28	#26041833	C₂	1	1	yes	maximal, characteristic, complemented
29	#26041814	C₂	1	1	yes	maximal, characteristic, complemented
30	#126×D₁₈₁	C₂	1	1	yes	maximal, characteristic, complemented
31	#541×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	#19153815	C₂²	1	1	yes	characteristic, complemented
36	#19153815	C₂²	1	1	yes	characteristic, complemented
37	#19153815	C₂²	1	1	yes	characteristic, complemented
38	#19153814	C₂²	1	1	yes	characteristic, complemented
39	#19153811	C₂²	1	1	yes	characteristic
40	#19153811	C₂²	1	1	yes	characteristic
41	#19153811	C₂²	1	1	yes	characteristic
42	#19153811	C₂²	1	1	yes	characteristic
43	#19153811	C₂²	1	1	yes	characteristic
44	#19153811	C₂²	1	1	yes	characteristic
45	#19153811	C₂²	1	1	yes	characteristic
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	#19153811	C₂²	1	1	yes	characteristic, complemented
50	#19153811	C₂²	1	1	yes	characteristic, complemented
51	#19153810	C₂²	1	1	yes	characteristic
52	#19153810	C₂²	1	1	yes	characteristic
53	#19153810	C₂²	1	1	yes	characteristic, complemented
54	#19153810	C₂²	1	1	yes	characteristic, complemented
55	#19153810	C₂²	1	1	yes	characteristic, complemented
56	#19153809	C₂²	1	1	yes	characteristic
57	#19153809	C₂²	1	1	yes	characteristic
58	#19153809	C₂²	1	1	yes	characteristic
59	#19153809	C₂²	1	1	yes	characteristic
60	#19153809	C₂²	1	1	yes	characteristic
61	#19153808	C₂²	1	1	yes	characteristic, complemented
62	#19153807	C₂²	1	1	yes	characteristic, complemented
63	#19153807	C₂²	1	1	yes	characteristic, complemented
64	#19153807	C₂²	1	1	yes	characteristic, complemented
65	#19153807	C₂²	1	1	yes	characteristic, complemented
66	#19153806	C₂²	1	1	yes	characteristic, complemented
67	#19153806	C₂²	1	1	yes	characteristic, complemented
68	#19153806	C₂²	1	1	yes	characteristic, complemented
69	#19153806	C₂²	1	1	yes	characteristic, complemented
70	#19153806	C₂²	1	1	yes	characteristic, complemented
71	#19153806	C₂²	1	1	yes	characteristic, complemented
72	#19153806	C₂²	1	1	yes	characteristic, complemented
73	#19153806	C₂²	1	1	yes	characteristic, complemented
74	#19153806	C₂²	1	1	yes	characteristic, complemented
75	#19153805	C₂²	1	1	yes	characteristic
76	#19153804	C₂²	1	1	yes	characteristic
77	#19153804	C₂²	1	1	yes	characteristic
78	#19153804	C₂²	1	1	yes	characteristic, complemented
79	#19153802	C₂²	1	1	yes	characteristic
80	#19153802	C₂²	1	1	yes	characteristic
81	#19153802	C₂²	1	1	yes	characteristic
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	#19153801	C₂²	1	1	yes	characteristic
88	#19153801	C₂²	1	1	yes	characteristic
89	#19153801	C₂²	1	1	yes	characteristic
90	#19153801	C₂²	1	1	yes	characteristic
91	#19153801	C₂²	1	1	yes	characteristic, complemented
92	#19153801	C₂²	1	1	yes	characteristic, complemented
93	#19153800	C₂²	1	1	yes	characteristic
94	#19153799	C₂²	1	1	yes	characteristic
95	#19153798	C₂²	1	1	yes	characteristic
96	#19153798	C₂²	1	1	yes	characteristic
97	#19153798	C₂²	1	1	yes	characteristic
98	#19153796	C₂²	1	1	yes	characteristic
99	#19153796	C₂²	1	1	yes	characteristic
100	#19153796	C₂²	1	1	yes	characteristic
101	#19153796	C₂²	1	1	yes	characteristic
102	#19153796	C₂²	1	1	yes	characteristic, complemented
103	#19153796	C₂²	1	1	yes	characteristic, complemented
104	#19153796	C₂²	1	1	yes	characteristic, complemented
105	#19153795	C₂²	1	1	yes	characteristic
106	#19153794	C₂²	1	1	yes	characteristic
107	#19153794	C₂²	1	1	yes	characteristic
108	#19153794	C₂²	1	1	yes	characteristic
109	#19153794	C₂²	1	1	yes	characteristic
110	#19153794	C₂²	1	1	yes	characteristic
111	#19153794	C₂²	1	1	yes	characteristic
112	#19153794	C₂²	1	1	yes	characteristic
113	#19153794	C₂²	1	1	yes	characteristic
114	#19153794	C₂²	1	1	yes	characteristic, complemented
115	#19153794	C₂²	1	1	yes	characteristic, complemented
116	#19153794	C₂²	1	1	yes	characteristic, complemented
117	#19153794	C₂²	1	1	yes	characteristic, complemented
118	#19153793	C₂²	1	1	yes	characteristic
119	#19153793	C₂²	1	1	yes	characteristic
120	#19153793	C₂²	1	1	yes	characteristic
121	#19153792	C₂²	1	1	yes	characteristic
122	#19153792	C₂²	1	1	yes	characteristic
123	#19153792	C₂²	1	1	yes	characteristic
124	#19153792	C₂²	1	1	yes	characteristic, complemented
125	#19153792	C₂²	1	1	yes	characteristic, complemented
126	#19153792	C₂²	1	1	yes	characteristic, complemented
127	#19153791	C₂²	1	1	yes	characteristic
128	#19153791	C₂²	1	1	yes	characteristic
129	#19153789	C₂²	1	1	yes	characteristic
130	#19153786	C₂²	1	1	yes	characteristic
131	#19153786	C₂²	1	1	yes	characteristic
132	C₄×Dic₃₆₂	C₂²	1	1	yes	characteristic, complemented
133	C₄×Dic₃₆₂	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	#19153781	C₂²	1	1	yes	characteristic, complemented
138	#19153781	C₂²	1	1	yes	characteristic, complemented
139	C₄×D₇₂₄	C₂²	1	1	yes	characteristic
140	C₄×D₇₂₄	C₂²	1	1	yes	characteristic
141	C₄×D₇₂₄	C₂²	1	1	yes	characteristic
142	C₄×D₇₂₄	C₂²	1	1	yes	characteristic
143	#19153778	C₂²	1	1	yes	characteristic
144	#19153778	C₂²	1	1	yes	characteristic
145	#19153778	C₂²	1	1	yes	characteristic
146	#19153778	C₂²	1	1	yes	characteristic
147	#19153778	C₂²	1	1	yes	characteristic, complemented
148	C₄×C₂²⋊D₁₈₁	C₂²	1	1	yes	characteristic
149	#19153776	C₂²	1	1	yes	characteristic
150	#19153774	C₂²	1	1	yes	characteristic
151	#19153774	C₂²	1	1	yes	characteristic
152	#19153774	C₂²	1	1	yes	characteristic
153	#19153774	C₂²	1	1	yes	characteristic, complemented
154	#19153774	C₂²	1	1	yes	characteristic, complemented
155	#19153774	C₂²	1	1	yes	characteristic, complemented
156	#19153773	C₂²	1	1	yes	characteristic
157	#19153773	C₂²	1	1	yes	characteristic
158	#19153773	C₂²	1	1	yes	characteristic
159	#19153773	C₂²	1	1	yes	characteristic, complemented
160	#19153772	C₂²	1	1	yes	characteristic
161	C₄⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic
162	C₄⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic
163	C₄⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic
164	C₄⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic, complemented
165	C₄⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic, complemented
166	C₂×#15668426	C₂²	1	1	yes	characteristic
167	C₂²⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic
168	C₂²⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic
169	C₂²⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic
170	C₂²⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic
171	C₄²×D₁₈₁	C₂²	1	1	yes	characteristic
172	C₄⋊Q₈×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
173	#126×C₁₈₁	C₂²	1	1	yes	characteristic
174	#126×C₁₈₁	C₂²	1	1	yes	characteristic
175	#126×C₁₈₁	C₂²	1	1	yes	characteristic
176	#126×C₁₈₁	C₂²	1	1	yes	characteristic
177	#125×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
178	#125×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
179	#125×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
180	#125×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
181	#125×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
182	C₂²⋊Q₈×C₁₈₁	C₂²	1	1	yes	characteristic
183	C₂²⋊Q₈×C₁₈₁	C₂²	1	1	yes	characteristic
184	C₄×Q₈×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
185	C₄×Q₈×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
186	#117×C₁₈₁	C₂²	1	1	yes	characteristic
187	C₂³×D₁₈₁	C₂³	1	1	yes	characteristic
188	C₂×Dic₃₆₂	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×D₇₂₄	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
202	C₂²×Dic₁₈₁	C₂³	1	1	yes	characteristic
203	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
204	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
205	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
206	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
207	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
208	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
209	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
210	C₂×C₄×D₁₈₁	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	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
218	C₄⋊Dic₁₈₁	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	#15668428	C₂³	1	1	yes	characteristic
252	#15668428	C₂³	1	1	yes	characteristic
253	#15668428	C₂³	1	1	yes	characteristic
254	#15668428	C₂³	1	1	yes	characteristic
255	#15668428	C₂³	1	1	yes	characteristic
256	#15668428	C₂³	1	1	yes	characteristic
257	#15668428	C₂³	1	1	yes	characteristic
258	#15668428	C₂³	1	1	yes	characteristic
259	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
260	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
261	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
262	C₂²⋊Dic₁₈₁	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	#15668426	C₂³	1	1	yes	characteristic
294	#15668426	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	C₂²×C₄×C₁₈₁	C₂³	1	1	yes	characteristic
310	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
311	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
312	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
313	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
314	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
315	C₄⋊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	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
327	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
328	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
329	C₄⋊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	C₄²×C₁₈₁	C₂³	1	1	yes	characteristic
337	C₄²×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	—	2	2	no	—
343	C₂²×D₁₈₁	—	4	1	no	—
344	C₂²×D₁₈₁	—	4	1	no	—
345	C₂²×D₁₈₁	C₂⁴	1	1	yes	characteristic
346	C₂²×D₁₈₁	C₂⁴	1	1	yes	characteristic
347	C₂²×D₁₈₁	C₂⁴	1	1	yes	characteristic
348	C₂²×D₁₈₁	C₂⁴	1	1	yes	characteristic
349	Dic₃₆₂	—	4	1	no	—
350	Dic₃₆₂	—	4	1	no	—
351	Dic₃₆₂	—	4	1	no	—
352	Dic₃₆₂	—	4	1	no	—
353	Dic₃₆₂	—	4	1	no	—
354	Dic₃₆₂	—	4	1	no	—
355	Dic₃₆₂	—	4	1	no	—
356	D₇₂₄	—	2	2	no	—
357	D₇₂₄	—	2	2	no	—
358	D₇₂₄	—	4	1	no	—
359	D₇₂₄	—	4	1	no	—
360	D₇₂₄	—	4	1	no	—
361	C₂²⋊D₁₈₁	—	4	1	no	—
362	C₂²⋊D₁₈₁	—	4	1	no	—
363	C₂×Dic₁₈₁	—	4	1	no	—
364	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
365	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
366	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
367	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
368	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
369	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
370	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
371	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
372	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
373	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
374	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
375	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
376	C₄×D₁₈₁	—	2	2	no	—
377	C₄×D₁₈₁	—	2	2	no	—
378	C₄×D₁₈₁	—	4	1	no	—
379	C₄×D₁₈₁	—	4	1	no	—
380	C₄×D₁₈₁	—	4	1	no	—
381	C₄×D₁₈₁	—	4	1	no	—
382	C₄×D₁₈₁	—	4	1	no	—
383	C₄×D₁₈₁	—	4	1	no	—
384	C₄×D₁₈₁	—	4	1	no	—
385	C₄×D₁₈₁	—	4	1	no	—
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	C₂³×C₁₈₁	C₂⁴	1	1	yes	characteristic
391	Q₈×C₁₈₁	—	4	1	no	—
392	Q₈×C₁₈₁	—	4	1	no	—
393	C₂×C₄×C₁₈₁	—	4	1	no	—
394	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
395	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
396	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
397	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
398	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
399	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
400	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
401	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
402	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
403	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
404	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
405	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
406	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
407	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
408	C₂²×C₁₈₁	—	2	1	no	—
409	C₂²×C₁₈₁	—	2	1	no	—
410	C₂²×C₁₈₁	—	2	1	no	—
411	C₂²×C₁₈₁	C₂⁵	1	1	yes	characteristic
412	C₂×D₁₈₁	—	2	1	no	—
413	C₂×D₁₈₁	—	2	1	no	—
414	C₂×D₁₈₁	—	2	1	no	—
415	C₂×D₁₈₁	—	2	1	no	—
416	C₂×D₁₈₁	—	2	1	no	—
417	C₂×D₁₈₁	—	2	1	no	—
418	C₂×D₁₈₁	—	2	1	no	—
419	C₂×D₁₈₁	—	2	1	no	—
420	C₂×D₁₈₁	—	2	1	no	—
421	C₂×D₁₈₁	—	2	1	no	—
422	C₂×D₁₈₁	—	2	1	no	—
423	C₂×D₁₈₁	—	8	2	no	—
424	C₂×D₁₈₁	2₋¹⁺⁴	1	2	yes	—
425	C₄×C₁₈₁	—	2	1	no	—
426	C₄×C₁₈₁	—	2	1	no	—
427	C₄×C₁₈₁	—	2	1	no	—
428	C₄×C₁₈₁	—	2	1	no	—
429	C₄×C₁₈₁	—	2	1	no	—
430	C₄×C₁₈₁	—	2	1	no	—
431	C₄×C₁₈₁	—	2	1	no	—
432	C₄×C₁₈₁	—	2	1	no	—
433	C₄×C₁₈₁	—	2	1	no	—
434	C₄×C₁₈₁	—	2	1	no	—
435	C₄×C₁₈₁	—	2	1	no	—
436	C₄×C₁₈₁	—	2	1	no	—
437	C₄×C₁₈₁	—	2	1	no	—
438	C₄×C₁₈₁	—	2	1	no	—
439	Dic₁₈₁	—	2	1	no	—
440	Dic₁₈₁	—	2	1	no	—
441	Dic₁₈₁	—	2	1	no	—
442	Dic₁₈₁	—	2	1	no	—
443	Dic₁₈₁	—	2	1	no	—
444	Dic₁₈₁	—	2	1	no	—
445	Dic₁₈₁	—	2	1	no	—
446	Dic₁₈₁	—	2	1	no	—
447	Dic₁₈₁	—	2	1	no	—
448	Dic₁₈₁	—	2	1	no	—
449	Dic₁₈₁	—	2	1	no	—
450	Dic₁₈₁	—	2	1	no	—
451	C₂×C₁₈₁	—	4	1	no	—
452	C₂×C₁₈₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
453	C₂×C₁₈₁	#585	1	1	yes	characteristic
454	C₂×C₁₈₁	#585	1	1	yes	characteristic
455	D₁₈₁	—	2	2	no	—
456	D₁₈₁	—	4	1	no	—
457	D₁₈₁	—	4	1	no	—
458	D₁₈₁	—	4	1	no	—
459	C₁₈₁	#3564	1	1	yes	characteristic, complemented, Sylow
460	#3564	—	181	1	no	maximal, Sylow
461	#563	—	181	1	no	—
462	#563	—	181	1	no	—
463	#563	—	181	1	no	—
464	#563	—	181	1	no	—
465	#556	—	181	1	no	—
466	#556	—	181	1	no	—
467	#554	—	181	1	no	—
468	#554	—	181	1	no	—
469	#552	—	181	1	no	—
470	#552	—	181	1	no	—
471	#552	—	181	1	no	—
472	#552	—	181	1	no	—
473	#551	—	181	1	no	—
474	#551	—	181	1	no	—
475	#551	—	181	1	no	—
476	#551	—	181	1	no	—
477	#544	—	181	1	no	—
478	#543	—	181	1	no	—
479	#542	—	181	1	no	—
480	#542	—	181	1	no	—
481	#541	—	181	1	no	—
482	#541	—	181	1	no	—
483	#541	—	181	1	no	—
484	#541	D₁₈₁	1	1	yes	characteristic, complemented
485	#539	—	181	1	no	—
486	#539	—	181	1	no	—
487	#539	—	181	1	no	—
488	#538	—	181	1	no	—
489	#533	—	181	1	no	—
490	#529	—	181	1	no	—
491	C₂×#126	—	181	1	no	—
492	C₄⋊Q₈	—	181	1	no	—
493	C₄⋊Q₈	—	181	1	no	—
494	C₄⋊Q₈	—	181	1	no	—
495	C₄⋊Q₈	—	181	1	no	—
496	C₄⋊Q₈	—	181	1	no	—
497	C₄⋊Q₈	—	181	1	no	—
498	C₄⋊Q₈	—	181	1	no	—
499	C₄⋊Q₈	C₂×D₁₈₁	1	1	yes	characteristic, complemented
500	#126	—	181	1	no	—
501	#126	—	181	1	no	—
502	#126	—	181	1	no	—
503	#126	—	181	1	no	—
504	#126	—	181	1	no	—
505	#126	—	181	1	no	—
506	#126	—	181	1	no	—
507	#126	—	181	1	no	—
508	#126	—	181	1	no	—
509	#126	—	181	1	no	—
510	#126	—	181	1	no	—
511	#126	—	181	1	no	—
512	#126	—	181	1	no	—
513	#126	—	181	1	no	—
514	#126	—	181	1	no	—
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	C₂×D₁₈₁	1	1	yes	characteristic
523	#126	C₂×D₁₈₁	1	1	yes	characteristic
524	#126	C₂×D₁₈₁	1	1	yes	characteristic
525	#126	C₂×D₁₈₁	1	1	yes	characteristic
526	#125	—	181	1	no	—
527	#125	—	181	1	no	—
528	#125	—	181	1	no	—
529	#125	—	181	1	no	—
530	#125	—	181	1	no	—
531	#125	—	181	1	no	—
532	#125	—	181	1	no	—
533	#125	—	181	1	no	—
534	#125	—	181	1	no	—
535	#125	—	181	1	no	—
536	#125	—	181	1	no	—
537	#125	—	181	1	no	—
538	#125	—	181	1	no	—
539	#125	—	181	1	no	—
540	#125	C₂×D₁₈₁	1	1	yes	characteristic, complemented
541	#125	C₂×D₁₈₁	1	1	yes	characteristic, complemented
542	#125	C₂×D₁₈₁	1	1	yes	characteristic, complemented
543	#125	C₂×D₁₈₁	1	1	yes	characteristic, complemented
544	#125	C₂×D₁₈₁	1	1	yes	characteristic, complemented
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	#123	—	181	1	no	—
553	#123	—	181	1	no	—
554	#123	—	181	1	no	—
555	#123	—	181	1	no	—
556	#123	—	181	1	no	—
557	#123	—	181	1	no	—
558	#123	—	181	1	no	—
559	#123	—	181	1	no	—
560	#123	—	181	1	no	—
561	#123	—	181	1	no	—
562	#123	—	181	1	no	—
563	#123	—	181	1	no	—
564	#123	—	181	1	no	—
565	#123	—	181	1	no	—
566	#123	—	181	1	no	—
567	#123	—	181	1	no	—
568	C₂²⋊Q₈	—	181	1	no	—
569	C₂²⋊Q₈	—	181	1	no	—
570	C₂²⋊Q₈	—	181	1	no	—
571	C₂²⋊Q₈	—	181	1	no	—
572	C₂²⋊Q₈	—	181	1	no	—
573	C₂²⋊Q₈	—	181	1	no	—
574	C₂²⋊Q₈	—	181	1	no	—
575	C₂²⋊Q₈	—	181	1	no	—
576	C₂²⋊Q₈	—	181	1	no	—
577	C₂²⋊Q₈	—	181	1	no	—
578	C₂²⋊Q₈	—	181	1	no	—
579	C₂²⋊Q₈	—	181	1	no	—
580	C₂²⋊Q₈	—	181	1	no	—
581	C₂²⋊Q₈	—	181	1	no	—
582	C₂²⋊Q₈	—	181	1	no	—
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	C₂×D₁₈₁	1	1	yes	characteristic
598	C₂²⋊Q₈	C₂×D₁₈₁	1	1	yes	characteristic
599	#121	—	181	1	no	—
600	#121	—	181	1	no	—
601	#121	—	181	1	no	—
602	#120	—	181	1	no	—
603	#120	—	181	1	no	—
604	C₄×Q₈	—	181	1	no	—
605	C₄×Q₈	—	181	1	no	—
606	C₄×Q₈	—	181	1	no	—
607	C₄×Q₈	—	181	1	no	—
608	C₄×Q₈	—	181	1	no	—
609	C₄×Q₈	—	181	1	no	—
610	C₄×Q₈	—	181	1	no	—
611	C₄×Q₈	C₂×D₁₈₁	1	1	yes	characteristic, complemented
612	C₄×Q₈	C₂×D₁₈₁	1	1	yes	characteristic, complemented
613	C₄×D₄	—	181	1	no	—
614	C₄×D₄	—	181	1	no	—
615	C₄×D₄	—	181	1	no	—
616	C₄×D₄	—	181	1	no	—
617	C₄×D₄	—	181	1	no	—
618	C₄×D₄	—	181	1	no	—
619	C₄×D₄	—	181	1	no	—
620	C₄×D₄	—	181	1	no	—
621	C₄×D₄	—	181	1	no	—
622	C₄×D₄	—	181	1	no	—
623	C₄×D₄	—	181	1	no	—
624	#117	—	181	1	no	—
625	#117	—	181	1	no	—
626	#117	—	181	1	no	—
627	#117	—	181	1	no	—
628	#117	—	181	1	no	—
629	#117	—	181	1	no	—
630	#117	—	181	1	no	—
631	#117	—	181	1	no	—
632	#117	—	181	1	no	—
633	#117	—	181	1	no	—
634	#117	—	181	1	no	—
635	#117	C₂×D₁₈₁	1	1	yes	characteristic
636	C₂×C₄⋊C₄	—	181	1	no	—
637	C₂×C₄⋊C₄	—	181	1	no	—
638	C₂×C₄⋊C₄	—	181	1	no	—
639	C₂×C₄⋊C₄	—	181	1	no	—
640	C₂×C₄⋊C₄	—	181	1	no	—
641	C₂×C₂²⋊C₄	—	181	1	no	—
642	C₂×C₂²⋊C₄	—	181	1	no	—
643	C₂×C₂²⋊C₄	—	181	1	no	—
644	C₂×C₂²⋊C₄	—	181	1	no	—
645	C₂×C₂²⋊C₄	—	181	1	no	—
646	C₂×C₄²	—	181	1	no	—
647	C₂⁴	—	181	1	no	—
648	C₂×Q₈	—	181	1	no	—
649	C₂×Q₈	—	181	1	no	—
650	C₂×Q₈	—	181	1	no	—
651	C₂×Q₈	—	181	1	no	—
652	C₂×Q₈	—	181	1	no	—
653	C₂×Q₈	—	181	1	no	—
654	C₂×Q₈	—	181	1	no	—
655	C₂×Q₈	C₂²×D₁₈₁	1	1	yes	characteristic
656	C₂×Q₈	C₂²×D₁₈₁	1	1	yes	characteristic
657	C₂×D₄	—	181	1	no	—
658	C₂×D₄	—	181	1	no	—
659	C₂×D₄	—	181	1	no	—
660	C₂×D₄	—	181	1	no	—
661	C₂×D₄	—	181	1	no	—
662	C₂×D₄	—	181	1	no	—
663	C₂×D₄	—	181	1	no	—
664	C₂²×C₄	—	181	1	no	—
665	C₂²×C₄	—	181	1	no	—
666	C₂²×C₄	—	181	1	no	—
667	C₂²×C₄	—	181	1	no	—
668	C₂²×C₄	—	181	1	no	—
669	C₂²×C₄	—	181	1	no	—
670	C₂²×C₄	—	181	1	no	—
671	C₂²×C₄	—	181	1	no	—
672	C₂²×C₄	—	181	1	no	—
673	C₂²×C₄	—	181	1	no	—
674	C₂²×C₄	—	181	1	no	—
675	C₂²×C₄	—	181	1	no	—
676	C₂²×C₄	—	181	1	no	—
677	C₂²×C₄	—	181	1	no	—
678	C₂²×C₄	—	181	1	no	—
679	C₂²×C₄	C₂²×D₁₈₁	1	1	yes	characteristic
680	C₄⋊C₄	—	181	1	no	—
681	C₄⋊C₄	—	181	1	no	—
682	C₄⋊C₄	—	181	1	no	—
683	C₄⋊C₄	—	181	1	no	—
684	C₄⋊C₄	—	181	1	no	—
685	C₄⋊C₄	—	181	1	no	—
686	C₄⋊C₄	—	181	1	no	—
687	C₄⋊C₄	—	181	1	no	—
688	C₄⋊C₄	—	181	1	no	—
689	C₄⋊C₄	—	181	1	no	—
690	C₄⋊C₄	—	181	1	no	—
691	C₄⋊C₄	—	181	1	no	—
692	C₄⋊C₄	—	181	1	no	—
693	C₄⋊C₄	—	181	1	no	—
694	C₄⋊C₄	—	181	1	no	—
695	C₄⋊C₄	—	181	1	no	—
696	C₄⋊C₄	—	181	1	no	—
697	C₄⋊C₄	—	181	1	no	—
698	C₄⋊C₄	—	181	1	no	—
699	C₄⋊C₄	—	181	1	no	—
700	C₄⋊C₄	—	181	1	no	—
701	C₄⋊C₄	—	181	1	no	—
702	C₄⋊C₄	—	181	1	no	—
703	C₄⋊C₄	—	181	1	no	—
704	C₄⋊C₄	—	181	1	no	—
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	C₂²×D₁₈₁	1	1	yes	characteristic
723	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
724	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
725	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
726	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
727	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
728	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
729	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
730	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
731	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
732	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
733	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
734	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
735	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
736	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
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	C₂²⋊C₄	—	181	1	no	—
743	C₂²⋊C₄	—	181	1	no	—
744	C₂²⋊C₄	—	181	1	no	—
745	C₂²⋊C₄	—	181	1	no	—
746	C₂²⋊C₄	—	181	1	no	—
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	C₂²×D₁₈₁	1	1	yes	characteristic
779	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
780	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
781	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
782	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
783	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
784	C₄²	—	181	1	no	—
785	C₄²	—	181	1	no	—
786	C₄²	—	181	1	no	—
787	C₄²	—	181	1	no	—
788	C₄²	—	181	1	no	—
789	C₄²	—	181	1	no	—
790	C₄²	—	181	1	no	—
791	C₄²	—	181	1	no	—
792	C₄²	—	181	1	no	—
793	C₄²	—	181	1	no	—
794	C₄²	—	181	1	no	—
795	C₄²	—	181	1	no	—
796	C₄²	C₂²×D₁₈₁	1	1	yes	characteristic
797	C₄²	C₂²×D₁₈₁	1	1	yes	characteristic
798	C₄²	C₂²×D₁₈₁	1	1	yes	characteristic
799	C₄²	C₂²×D₁₈₁	1	1	yes	characteristic
800	C₄²	C₂²×D₁₈₁	1	1	yes	characteristic
801	C₄²	C₂²×D₁₈₁	1	1	yes	characteristic
802	C₂³	—	362	2	no	—
803	C₂³	—	181	1	no	—
804	C₂³	—	181	1	no	—
805	C₂³	—	181	1	no	—
806	C₂³	—	181	1	no	—
807	C₂³	—	724	1	no	—
808	C₂³	—	724	1	no	—
809	C₂³	C₂³×D₁₈₁	1	1	yes	characteristic
810	Q₈	—	4	1	no	—
811	Q₈	—	4	1	no	—
812	Q₈	—	724	1	no	—
813	Q₈	—	724	1	no	—
814	Q₈	—	724	1	no	—
815	Q₈	—	724	1	no	—
816	Q₈	—	724	1	no	—
817	Q₈	—	724	1	no	—
818	Q₈	—	724	1	no	—
819	D₄	—	362	2	no	—
820	D₄	—	362	2	no	—
821	D₄	—	724	1	no	—
822	D₄	—	724	1	no	—
823	D₄	—	724	1	no	—
824	D₄	—	724	1	no	—
825	D₄	—	724	1	no	—
826	C₂×C₄	—	4	1	no	—
827	C₂×C₄	—	362	2	no	—
828	C₂×C₄	—	362	2	no	—
829	C₂×C₄	—	181	1	no	—
830	C₂×C₄	—	181	1	no	—
831	C₂×C₄	—	181	1	no	—
832	C₂×C₄	—	181	1	no	—
833	C₂×C₄	—	181	1	no	—
834	C₂×C₄	—	181	1	no	—
835	C₂×C₄	—	181	1	no	—
836	C₂×C₄	—	181	1	no	—
837	C₂×C₄	—	181	1	no	—
838	C₂×C₄	—	181	1	no	—
839	C₂×C₄	—	181	1	no	—
840	C₂×C₄	—	181	1	no	—
841	C₂×C₄	—	724	1	no	—
842	C₂×C₄	—	724	1	no	—
843	C₂×C₄	—	724	1	no	—
844	C₂×C₄	—	724	1	no	—
845	C₂×C₄	—	724	1	no	—
846	C₂×C₄	—	724	1	no	—
847	C₂×C₄	—	724	1	no	—
848	C₂×C₄	—	724	1	no	—
849	C₂×C₄	—	724	1	no	—
850	C₂×C₄	—	724	1	no	—
851	C₂×C₄	—	724	1	no	—
852	C₂×C₄	—	724	1	no	—
853	C₂×C₄	—	724	1	no	—
854	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
855	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
856	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
857	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
858	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
859	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
860	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
861	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
862	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
863	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
864	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
865	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
866	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
867	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
868	C₂²	—	2	1	no	—
869	C₂²	—	2	1	no	—
870	C₂²	—	2	1	no	—
871	C₂²	—	362	1	no	—
872	C₂²	—	362	1	no	—
873	C₂²	—	362	1	no	—
874	C₂²	—	362	1	no	—
875	C₂²	—	362	1	no	—
876	C₂²	—	362	1	no	—
877	C₂²	—	362	1	no	—
878	C₂²	—	362	1	no	—
879	C₂²	—	362	1	no	—
880	C₂²	—	362	1	no	—
881	C₂²	—	362	1	no	—
882	C₂²	—	1448	2	no	—
883	C₂²	—	181	2	no	—
884	C₂²	C₂⁴×D₁₈₁	1	1	yes	characteristic
885	C₄	—	2	1	no	—
886	C₄	—	2	1	no	—
887	C₄	—	2	1	no	—
888	C₄	—	2	1	no	—
889	C₄	—	2	1	no	—
890	C₄	—	2	1	no	—
891	C₄	—	2	1	no	—
892	C₄	—	2	1	no	—
893	C₄	—	2	1	no	—
894	C₄	—	2	1	no	—
895	C₄	—	2	1	no	—
896	C₄	—	2	1	no	—
897	C₄	—	2	1	no	—
898	C₄	—	2	1	no	—
899	C₄	—	362	1	no	—
900	C₄	—	362	1	no	—
901	C₄	—	362	1	no	—
902	C₄	—	362	1	no	—
903	C₄	—	362	1	no	—
904	C₄	—	362	1	no	—
905	C₄	—	362	1	no	—
906	C₄	—	362	1	no	—
907	C₄	—	362	1	no	—
908	C₄	—	362	1	no	—
909	C₄	—	362	1	no	—
910	C₄	—	362	1	no	—
911	C₂	—	4	1	no	—
912	C₂	—	362	2	no	—
913	C₂	—	724	1	no	—
914	C₂	—	724	1	no	—
915	C₂	—	724	1	no	—
916	C₂	2₋¹⁺⁴×D₁₈₁	1	1	yes	characteristic
917	C₂	#26042115	1	1	yes	characteristic
918	C₂	#26042116	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₈₁
commutator, socle, cosocle	C₂²×C₁₈₁	C₂⁵
Fitting	#541×C₁₈₁	C₂
prime radical	#26041868	C₂
hypercenter	#541	D₁₈₁
hypocenter	C₁₈₁	#3564
LCS	G ▷ C₂²×C₁₈₁ ▷ C₁₈₁
UCS	C₁ ◁ C₂² ◁ #541

Complements

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

N	H ≅ G/N	type
1. #26042033	C₂	semidirect
2. #26042031	C₂	semidirect
3. #26042030	C₂	semidirect
4. #26042028	C₂	semidirect
5. #26042002	C₂	semidirect
6. #26041997	C₂	semidirect
7. #26041990	C₂	semidirect
8. #26041985	C₂	semidirect
9. #26041970	C₂	semidirect
10. #26041967	C₂	semidirect
11. #26041965	C₂	semidirect
12. #26041961	C₂	semidirect
13. #26041956	C₂	semidirect
14. #26041954	C₂	semidirect
15. #26041954	C₂	semidirect
16. #26041953	C₂	semidirect
17. #26041909	C₂	semidirect
18. #26041904	C₂	semidirect
19. #26041901	C₂	semidirect
20. #26041895	C₂	semidirect
21. #26041888	C₂	semidirect
22. #26041888	C₂	semidirect
23. #26041886	C₂	semidirect
24. #26041877	C₂	semidirect
25. #26041877	C₂	semidirect
26. #26041875	C₂	semidirect
28. #26041833	C₂	semidirect
29. #26041814	C₂	semidirect
30. #126×D₁₈₁	C₂	semidirect
31. #541×C₁₈₁	C₂	semidirect
32. #19153816	C₂²	semidirect
33. #19153815	C₂²	semidirect
34. #19153815	C₂²	semidirect
35. #19153815	C₂²	semidirect
36. #19153815	C₂²	semidirect
37. #19153815	C₂²	semidirect
38. #19153814	C₂²	semidirect
46. #19153811	C₂²	semidirect
47. #19153811	C₂²	semidirect
48. #19153811	C₂²	semidirect
49. #19153811	C₂²	semidirect
50. #19153811	C₂²	semidirect
53. #19153810	C₂²	semidirect
54. #19153810	C₂²	semidirect
55. #19153810	C₂²	semidirect
61. #19153808	C₂²	semidirect
62. #19153807	C₂²	semidirect
63. #19153807	C₂²	semidirect
64. #19153807	C₂²	semidirect
65. #19153807	C₂²	semidirect
66. #19153806	C₂²	semidirect
67. #19153806	C₂²	semidirect
68. #19153806	C₂²	semidirect
69. #19153806	C₂²	semidirect
70. #19153806	C₂²	semidirect
71. #19153806	C₂²	semidirect
72. #19153806	C₂²	semidirect
73. #19153806	C₂²	semidirect
74. #19153806	C₂²	semidirect
78. #19153804	C₂²	semidirect
91. #19153801	C₂²	semidirect
92. #19153801	C₂²	semidirect
102. #19153796	C₂²	semidirect
103. #19153796	C₂²	semidirect
104. #19153796	C₂²	semidirect
114. #19153794	C₂²	semidirect
115. #19153794	C₂²	semidirect
116. #19153794	C₂²	semidirect
117. #19153794	C₂²	semidirect
124. #19153792	C₂²	semidirect
125. #19153792	C₂²	semidirect
126. #19153792	C₂²	semidirect
132. C₄×Dic₃₆₂	C₂²	semidirect
133. C₄×Dic₃₆₂	C₂²	semidirect
134. C₄×Dic₃₆₂	C₂²	semidirect
135. C₄×Dic₃₆₂	C₂²	semidirect
136. C₄×Dic₃₆₂	C₂²	semidirect
137. #19153781	C₂²	semidirect
138. #19153781	C₂²	semidirect
147. #19153778	C₂²	semidirect
153. #19153774	C₂²	semidirect
154. #19153774	C₂²	semidirect
155. #19153774	C₂²	semidirect
159. #19153773	C₂²	semidirect
164. C₄⋊C₄×D₁₈₁	C₂²	semidirect
165. C₄⋊C₄×D₁₈₁	C₂²	semidirect
172. C₄⋊Q₈×C₁₈₁	C₂²	semidirect
177. #125×C₁₈₁	C₂²	semidirect
178. #125×C₁₈₁	C₂²	semidirect
179. #125×C₁₈₁	C₂²	semidirect
180. #125×C₁₈₁	C₂²	semidirect
181. #125×C₁₈₁	C₂²	semidirect
184. C₄×Q₈×C₁₈₁	C₂²	semidirect
185. C₄×Q₈×C₁₈₁	C₂²	semidirect
459. C₁₈₁	#3564	semidirect
484. #541	D₁₈₁	semidirect
499. C₄⋊Q₈	C₂×D₁₈₁	semidirect
540. #125	C₂×D₁₈₁	semidirect
541. #125	C₂×D₁₈₁	semidirect
542. #125	C₂×D₁₈₁	semidirect
543. #125	C₂×D₁₈₁	semidirect
544. #125	C₂×D₁₈₁	semidirect
611. C₄×Q₈	C₂×D₁₈₁	semidirect
612. C₄×Q₈	C₂×D₁₈₁	semidirect

Maximal subgroups

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

subgroup	index
#26042033	2
#26042031	2
#26042030	2
#26042028	2
#26042002	2
#26041997	2
#26041990	2
#26041985	2
#26041970	2
#26041967	2
#26041965	2
#26041961	2
#26041956	2
#26041954	2
#26041953	2
#26041909	2
#26041904	2
#26041901	2
#26041895	2
#26041888	2
#26041886	2
#26041877	2
#26041875	2
#26041868	2
#26041833	2
#26041814	2
#126×D₁₈₁	2
#541×C₁₈₁	2
#3564	181