Subgroups — #37548404

Order 23168.

954 conjugacy classes of subgroups.

The subgroup lattice has 952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26042028	C₂	1	1	yes	maximal, characteristic, complemented
2	#26042027	C₂	1	1	yes	maximal, characteristic, complemented
3	#26042025	C₂	1	1	yes	maximal, characteristic, complemented
4	#26042020	C₂	1	1	yes	maximal, characteristic, complemented
5	#26042014	C₂	1	1	yes	maximal, characteristic, complemented
6	#26042001	C₂	1	1	yes	maximal, characteristic, complemented
7	#26041995	C₂	1	1	yes	maximal, characteristic, complemented
8	#26041982	C₂	1	1	yes	maximal, characteristic, complemented
9	#26041980	C₂	1	1	yes	maximal, characteristic, complemented
10	#26041973	C₂	1	1	yes	maximal, characteristic, complemented
11	#26041967	C₂	1	1	yes	maximal, characteristic, complemented
12	#26041965	C₂	1	1	yes	maximal, characteristic, complemented
13	#26041961	C₂	1	1	yes	maximal, characteristic, complemented
14	#26041956	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	#26041901	C₂	1	1	yes	maximal, characteristic, complemented
18	#26041899	C₂	1	1	yes	maximal, characteristic, complemented
19	#26041895	C₂	1	1	yes	maximal, characteristic, complemented
20	#26041888	C₂	1	1	yes	maximal, characteristic, complemented
21	#26041885	C₂	1	1	yes	maximal, characteristic, complemented
22	#26041877	C₂	1	1	yes	maximal, characteristic, complemented
23	#26041877	C₂	1	1	yes	maximal, characteristic, complemented
24	#26041877	C₂	1	1	yes	maximal, characteristic, complemented
25	#26041869	C₂	1	1	yes	maximal, characteristic, complemented
26	#26041868	C₂	1	1	yes	maximal, characteristic, complemented
27	#26041868	C₂	1	1	yes	maximal, characteristic, complemented
28	#26041816	C₂	1	1	yes	maximal, characteristic, complemented
29	#26041814	C₂	1	1	yes	maximal, characteristic, complemented
30	#26041812	C₂	1	1	yes	maximal, characteristic, complemented
31	#541×C₁₈₁	C₂	1	1	yes	maximal, characteristic, complemented
32	#19153815	C₂²	1	1	yes	characteristic, complemented
33	#19153814	C₂²	1	1	yes	characteristic, complemented
34	#19153813	C₂²	1	1	yes	characteristic
35	#19153811	C₂²	1	1	yes	characteristic
36	#19153811	C₂²	1	1	yes	characteristic
37	#19153811	C₂²	1	1	yes	characteristic
38	#19153811	C₂²	1	1	yes	characteristic
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, complemented
43	#19153811	C₂²	1	1	yes	characteristic, complemented
44	#19153811	C₂²	1	1	yes	characteristic, complemented
45	#19153810	C₂²	1	1	yes	characteristic
46	#19153810	C₂²	1	1	yes	characteristic
47	#19153810	C₂²	1	1	yes	characteristic, complemented
48	#19153810	C₂²	1	1	yes	characteristic, complemented
49	#19153810	C₂²	1	1	yes	characteristic, complemented
50	#19153809	C₂²	1	1	yes	characteristic
51	#19153807	C₂²	1	1	yes	characteristic, complemented
52	#19153807	C₂²	1	1	yes	characteristic, complemented
53	#19153806	C₂²	1	1	yes	characteristic, complemented
54	#19153806	C₂²	1	1	yes	characteristic, complemented
55	#19153806	C₂²	1	1	yes	characteristic, complemented
56	#19153806	C₂²	1	1	yes	characteristic, complemented
57	#19153806	C₂²	1	1	yes	characteristic, complemented
58	#19153805	C₂²	1	1	yes	characteristic
59	#19153805	C₂²	1	1	yes	characteristic
60	#19153805	C₂²	1	1	yes	characteristic
61	#19153805	C₂²	1	1	yes	characteristic, complemented
62	#19153805	C₂²	1	1	yes	characteristic, complemented
63	#19153804	C₂²	1	1	yes	characteristic
64	#19153804	C₂²	1	1	yes	characteristic
65	#19153804	C₂²	1	1	yes	characteristic
66	#19153804	C₂²	1	1	yes	characteristic, complemented
67	#19153802	C₂²	1	1	yes	characteristic
68	#19153802	C₂²	1	1	yes	characteristic
69	#19153802	C₂²	1	1	yes	characteristic
70	#19153801	C₂²	1	1	yes	characteristic
71	#19153801	C₂²	1	1	yes	characteristic
72	#19153801	C₂²	1	1	yes	characteristic
73	#19153801	C₂²	1	1	yes	characteristic
74	#19153801	C₂²	1	1	yes	characteristic
75	#19153801	C₂²	1	1	yes	characteristic
76	#19153801	C₂²	1	1	yes	characteristic
77	#19153801	C₂²	1	1	yes	characteristic
78	#19153801	C₂²	1	1	yes	characteristic
79	#19153801	C₂²	1	1	yes	characteristic
80	#19153801	C₂²	1	1	yes	characteristic
81	#19153801	C₂²	1	1	yes	characteristic
82	#19153801	C₂²	1	1	yes	characteristic
83	#19153801	C₂²	1	1	yes	characteristic, complemented
84	#19153801	C₂²	1	1	yes	characteristic, complemented
85	#19153801	C₂²	1	1	yes	characteristic, complemented
86	#19153801	C₂²	1	1	yes	characteristic, complemented
87	#19153801	C₂²	1	1	yes	characteristic, complemented
88	#19153801	C₂²	1	1	yes	characteristic, complemented
89	#19153800	C₂²	1	1	yes	characteristic
90	#19153799	C₂²	1	1	yes	characteristic
91	#19153798	C₂²	1	1	yes	characteristic
92	#19153798	C₂²	1	1	yes	characteristic
93	#19153798	C₂²	1	1	yes	characteristic
94	#19153796	C₂²	1	1	yes	characteristic
95	#19153796	C₂²	1	1	yes	characteristic, complemented
96	#19153796	C₂²	1	1	yes	characteristic, complemented
97	#19153794	C₂²	1	1	yes	characteristic
98	#19153794	C₂²	1	1	yes	characteristic
99	#19153794	C₂²	1	1	yes	characteristic
100	#19153794	C₂²	1	1	yes	characteristic
101	#19153794	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
108	#19153792	C₂²	1	1	yes	characteristic
109	#19153792	C₂²	1	1	yes	characteristic, complemented
110	#19153791	C₂²	1	1	yes	characteristic
111	#19153791	C₂²	1	1	yes	characteristic
112	#19153791	C₂²	1	1	yes	characteristic
113	#19153791	C₂²	1	1	yes	characteristic
114	#19153791	C₂²	1	1	yes	characteristic
115	#19153791	C₂²	1	1	yes	characteristic
116	#19153791	C₂²	1	1	yes	characteristic
117	#19153791	C₂²	1	1	yes	characteristic
118	#19153791	C₂²	1	1	yes	characteristic
119	#19153791	C₂²	1	1	yes	characteristic, complemented
120	#19153791	C₂²	1	1	yes	characteristic, complemented
121	#19153791	C₂²	1	1	yes	characteristic, complemented
122	#19153790	C₂²	1	1	yes	characteristic
123	#19153789	C₂²	1	1	yes	characteristic
124	#19153789	C₂²	1	1	yes	characteristic
125	#19153789	C₂²	1	1	yes	characteristic
126	#19153789	C₂²	1	1	yes	characteristic
127	#19153789	C₂²	1	1	yes	characteristic
128	#19153786	C₂²	1	1	yes	characteristic
129	#19153786	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	#19153781	C₂²	1	1	yes	characteristic, complemented
135	#19153781	C₂²	1	1	yes	characteristic, complemented
136	C₄×D₇₂₄	C₂²	1	1	yes	characteristic
137	C₄×D₇₂₄	C₂²	1	1	yes	characteristic
138	C₄×D₇₂₄	C₂²	1	1	yes	characteristic
139	C₄×D₇₂₄	C₂²	1	1	yes	characteristic
140	C₄×D₇₂₄	C₂²	1	1	yes	characteristic, complemented
141	C₄×D₇₂₄	C₂²	1	1	yes	characteristic, complemented
142	C₄×D₇₂₄	C₂²	1	1	yes	characteristic, complemented
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	#19153778	C₂²	1	1	yes	characteristic, complemented
149	#19153778	C₂²	1	1	yes	characteristic, complemented
150	C₄×C₂²⋊D₁₈₁	C₂²	1	1	yes	characteristic
151	#19153776	C₂²	1	1	yes	characteristic
152	#19153776	C₂²	1	1	yes	characteristic
153	#19153776	C₂²	1	1	yes	characteristic
154	#19153774	C₂²	1	1	yes	characteristic
155	#19153774	C₂²	1	1	yes	characteristic
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	#19153773	C₂²	1	1	yes	characteristic
161	#19153773	C₂²	1	1	yes	characteristic
162	#19153773	C₂²	1	1	yes	characteristic, complemented
163	#19153773	C₂²	1	1	yes	characteristic, complemented
164	#19153772	C₂²	1	1	yes	characteristic
165	C₄⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic, complemented
166	C₄⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic, complemented
167	C₄⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic, complemented
168	C₂×#15668426	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, complemented
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×D₇₂₄	C₂³	1	1	yes	characteristic
193	C₂×D₇₂₄	C₂³	1	1	yes	characteristic
194	C₂×D₇₂₄	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×D₇₂₄	C₂³	1	1	yes	characteristic
201	C₂×D₇₂₄	C₂³	1	1	yes	characteristic
202	C₂×D₇₂₄	C₂³	1	1	yes	characteristic
203	C₂×D₇₂₄	C₂³	1	1	yes	characteristic
204	C₂×D₇₂₄	C₂³	1	1	yes	characteristic
205	C₂×D₇₂₄	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊D₁₈₁	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	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
220	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
221	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
222	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
223	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
224	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
225	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
226	C₂×C₄×D₁₈₁	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	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
232	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
233	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
234	C₄⋊Dic₁₈₁	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	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
256	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
257	#15668426	C₂³	1	1	yes	characteristic
258	#15668426	C₂³	1	1	yes	characteristic
259	#15668426	C₂³	1	1	yes	characteristic
260	#15668426	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	#15668426	C₂³	1	1	yes	characteristic
294	#15668426	C₂³	1	1	yes	characteristic
295	#15668426	C₂³	1	1	yes	characteristic
296	#15668426	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	—	4	1	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	C₂²×D₁₈₁	C₂⁴	1	1	yes	characteristic
350	C₂²×D₁₈₁	C₂⁴	1	1	yes	characteristic
351	Dic₃₆₂	—	4	1	no	—
352	Dic₃₆₂	—	4	1	no	—
353	Dic₃₆₂	—	4	1	no	—
354	Dic₃₆₂	—	4	1	no	—
355	D₇₂₄	—	4	1	no	—
356	D₇₂₄	—	4	1	no	—
357	D₇₂₄	—	4	1	no	—
358	D₇₂₄	—	4	1	no	—
359	D₇₂₄	—	4	1	no	—
360	D₇₂₄	—	4	1	no	—
361	D₇₂₄	—	4	1	no	—
362	D₇₂₄	—	4	1	no	—
363	D₇₂₄	—	4	1	no	—
364	D₇₂₄	—	4	1	no	—
365	D₇₂₄	—	4	1	no	—
366	D₇₂₄	—	4	1	no	—
367	D₇₂₄	—	4	1	no	—
368	D₇₂₄	—	4	1	no	—
369	C₂²⋊D₁₈₁	—	4	1	no	—
370	C₂²⋊D₁₈₁	—	4	1	no	—
371	C₂²⋊D₁₈₁	—	4	1	no	—
372	C₂²⋊D₁₈₁	—	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	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	C₄×D₁₈₁	—	4	1	no	—
391	C₄×D₁₈₁	—	4	1	no	—
392	C₄×D₁₈₁	—	4	1	no	—
393	C₄×D₁₈₁	—	4	1	no	—
394	C₄×D₁₈₁	—	4	1	no	—
395	C₄×D₁₈₁	—	4	1	no	—
396	C₄×D₁₈₁	—	4	1	no	—
397	C₄×D₁₈₁	—	4	1	no	—
398	C₄×D₁₈₁	—	4	1	no	—
399	C₄×D₁₈₁	—	4	1	no	—
400	C₂³×C₁₈₁	C₂⁴	1	1	yes	characteristic
401	Q₈×C₁₈₁	—	4	1	no	—
402	Q₈×C₁₈₁	—	4	1	no	—
403	C₂×C₄×C₁₈₁	—	4	1	no	—
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	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	C₂⁵	1	1	yes	characteristic
422	C₂×D₁₈₁	—	2	1	no	—
423	C₂×D₁₈₁	—	2	1	no	—
424	C₂×D₁₈₁	—	2	1	no	—
425	C₂×D₁₈₁	—	2	1	no	—
426	C₂×D₁₈₁	—	2	1	no	—
427	C₂×D₁₈₁	—	2	1	no	—
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	C₄×C₁₈₁	—	2	1	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	C₄×C₁₈₁	—	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	C₂×C₁₈₁	—	4	1	no	—
466	C₂×C₁₈₁	#585	1	1	yes	characteristic
467	C₂×C₁₈₁	#585	1	1	yes	characteristic
468	C₂×C₁₈₁	#585	1	1	yes	characteristic
469	D₁₈₁	—	4	1	no	—
470	D₁₈₁	—	4	1	no	—
471	D₁₈₁	—	4	1	no	—
472	D₁₈₁	—	4	1	no	—
473	D₁₈₁	—	4	1	no	—
474	D₁₈₁	—	4	1	no	—
475	C₁₈₁	#3566	1	1	yes	characteristic, complemented, Sylow
476	#3566	—	181	1	no	maximal, Sylow
477	#563	—	181	1	no	—
478	#562	—	181	1	no	—
479	#562	—	181	1	no	—
480	#560	—	181	1	no	—
481	#559	—	181	1	no	—
482	#556	—	181	1	no	—
483	#555	—	181	1	no	—
484	#553	—	181	1	no	—
485	#553	—	181	1	no	—
486	#553	—	181	1	no	—
487	#552	—	181	1	no	—
488	#552	—	181	1	no	—
489	#552	—	181	1	no	—
490	#551	—	181	1	no	—
491	#551	—	181	1	no	—
492	#551	—	181	1	no	—
493	#542	—	181	1	no	—
494	#542	—	181	1	no	—
495	#542	—	181	1	no	—
496	#541	—	181	1	no	—
497	#541	D₁₈₁	1	1	yes	characteristic, complemented
498	#540	—	181	1	no	—
499	#539	—	181	1	no	—
500	#539	—	181	1	no	—
501	#539	—	181	1	no	—
502	#538	—	181	1	no	—
503	#538	—	181	1	no	—
504	#538	—	181	1	no	—
505	#529	—	181	1	no	—
506	#529	—	181	1	no	—
507	#529	—	181	1	no	—
508	C₄⋊Q₈	—	181	1	no	—
509	C₄⋊Q₈	—	181	1	no	—
510	C₄⋊Q₈	C₂×D₁₈₁	1	1	yes	characteristic, complemented
511	#127	—	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	—	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	C₂×D₁₈₁	1	1	yes	characteristic
529	#126	C₂×D₁₈₁	1	1	yes	characteristic
530	#126	C₂×D₁₈₁	1	1	yes	characteristic
531	#126	C₂×D₁₈₁	1	1	yes	characteristic
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	C₂×D₁₈₁	1	1	yes	characteristic, complemented
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	#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	#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	#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	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	C₂×D₁₈₁	1	1	yes	characteristic
597	C₂²⋊Q₈	C₂×D₁₈₁	1	1	yes	characteristic
598	#121	—	181	1	no	—
599	#121	—	181	1	no	—
600	#121	—	181	1	no	—
601	#121	—	181	1	no	—
602	#121	—	181	1	no	—
603	#121	—	181	1	no	—
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	—	181	1	no	—
613	#121	—	181	1	no	—
614	#121	—	181	1	no	—
615	#121	—	181	1	no	—
616	#120	—	181	1	no	—
617	#120	—	181	1	no	—
618	#120	—	181	1	no	—
619	#120	—	181	1	no	—
620	C₄×Q₈	—	181	1	no	—
621	C₄×Q₈	—	181	1	no	—
622	C₄×Q₈	—	181	1	no	—
623	C₄×Q₈	—	181	1	no	—
624	C₄×Q₈	C₂×D₁₈₁	1	1	yes	characteristic, complemented
625	C₄×Q₈	C₂×D₁₈₁	1	1	yes	characteristic, complemented
626	C₄×D₄	—	181	1	no	—
627	C₄×D₄	—	181	1	no	—
628	C₄×D₄	—	181	1	no	—
629	C₄×D₄	—	181	1	no	—
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	#117	—	181	1	no	—
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	C₂×D₁₈₁	1	1	yes	characteristic
656	C₂×C₄⋊C₄	—	181	1	no	—
657	C₂×C₄⋊C₄	—	181	1	no	—
658	C₂×C₄⋊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×C₄²	—	181	1	no	—
663	C₂⁴	—	181	1	no	—
664	C₂×Q₈	—	181	1	no	—
665	C₂×Q₈	—	181	1	no	—
666	C₂×Q₈	—	181	1	no	—
667	C₂×Q₈	—	181	1	no	—
668	C₂×Q₈	C₂²×D₁₈₁	1	1	yes	characteristic
669	C₂×Q₈	C₂²×D₁₈₁	1	1	yes	characteristic
670	C₂×D₄	—	181	1	no	—
671	C₂×D₄	—	181	1	no	—
672	C₂×D₄	—	181	1	no	—
673	C₂×D₄	—	181	1	no	—
674	C₂×D₄	—	181	1	no	—
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	—	181	1	no	—
688	C₂²×C₄	—	181	1	no	—
689	C₂²×C₄	—	181	1	no	—
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	—	181	1	no	—
703	C₂²×C₄	—	181	1	no	—
704	C₂²×C₄	—	181	1	no	—
705	C₂²×C₄	C₂²×D₁₈₁	1	1	yes	characteristic
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	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	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	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
748	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
749	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
750	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
751	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
752	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
753	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
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	—	181	1	no	—
790	C₂²⋊C₄	—	181	1	no	—
791	C₂²⋊C₄	—	181	1	no	—
792	C₂²⋊C₄	—	181	1	no	—
793	C₂²⋊C₄	—	181	1	no	—
794	C₂²⋊C₄	—	181	1	no	—
795	C₂²⋊C₄	—	181	1	no	—
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	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
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	C₂²×D₁₈₁	1	1	yes	characteristic
813	C₄²	C₂²×D₁₈₁	1	1	yes	characteristic
814	C₄²	C₂²×D₁₈₁	1	1	yes	characteristic
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	C₂³	—	181	1	no	—
819	C₂³	—	181	1	no	—
820	C₂³	—	181	1	no	—
821	C₂³	—	181	1	no	—
822	C₂³	—	181	1	no	—
823	C₂³	—	181	1	no	—
824	C₂³	—	724	1	no	—
825	C₂³	—	724	1	no	—
826	C₂³	—	724	1	no	—
827	C₂³	C₂³×D₁₈₁	1	1	yes	characteristic
828	Q₈	—	4	1	no	—
829	Q₈	—	4	1	no	—
830	Q₈	—	724	1	no	—
831	Q₈	—	724	1	no	—
832	Q₈	—	724	1	no	—
833	Q₈	—	724	1	no	—
834	D₄	—	724	1	no	—
835	D₄	—	724	1	no	—
836	D₄	—	724	1	no	—
837	D₄	—	724	1	no	—
838	D₄	—	724	1	no	—
839	D₄	—	724	1	no	—
840	D₄	—	724	1	no	—
841	D₄	—	724	1	no	—
842	D₄	—	724	1	no	—
843	D₄	—	724	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	C₂×C₄	—	4	1	no	—
853	C₂×C₄	—	181	1	no	—
854	C₂×C₄	—	181	1	no	—
855	C₂×C₄	—	181	1	no	—
856	C₂×C₄	—	181	1	no	—
857	C₂×C₄	—	181	1	no	—
858	C₂×C₄	—	181	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	—	724	1	no	—
864	C₂×C₄	—	724	1	no	—
865	C₂×C₄	—	724	1	no	—
866	C₂×C₄	—	724	1	no	—
867	C₂×C₄	—	724	1	no	—
868	C₂×C₄	—	724	1	no	—
869	C₂×C₄	—	724	1	no	—
870	C₂×C₄	—	724	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	C₂³×D₁₈₁	1	1	yes	characteristic
881	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
882	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
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	C₂²	—	2	1	no	—
895	C₂²	—	2	1	no	—
896	C₂²	—	2	1	no	—
897	C₂²	—	362	1	no	—
898	C₂²	—	362	1	no	—
899	C₂²	—	362	1	no	—
900	C₂²	—	362	1	no	—
901	C₂²	—	362	1	no	—
902	C₂²	—	362	1	no	—
903	C₂²	—	362	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	—	1448	2	no	—
916	C₂²	C₂⁴×D₁₈₁	1	1	yes	characteristic
917	C₄	—	2	1	no	—
918	C₄	—	2	1	no	—
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	C₂	—	4	1	no	—
942	C₂	—	724	1	no	—
943	C₂	—	724	1	no	—
944	C₂	—	724	1	no	—
945	C₂	—	724	1	no	—
946	C₂	—	724	1	no	—
947	C₂	—	724	1	no	—
948	C₂	#26042115	1	1	yes	characteristic
949	C₂	#26042116	1	1	yes	characteristic
950	C₂	#26042116	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₈₁
commutator, socle, cosocle	C₂²×C₁₈₁	C₂⁵
Fitting	#541×C₁₈₁	C₂
hypercenter	#541	D₁₈₁
hypocenter	C₁₈₁	#3566
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. #26042028	C₂	semidirect
2. #26042027	C₂	semidirect
3. #26042025	C₂	semidirect
4. #26042020	C₂	semidirect
5. #26042014	C₂	semidirect
6. #26042001	C₂	semidirect
7. #26041995	C₂	semidirect
8. #26041982	C₂	semidirect
9. #26041980	C₂	semidirect
10. #26041973	C₂	semidirect
11. #26041967	C₂	semidirect
12. #26041965	C₂	semidirect
13. #26041961	C₂	semidirect
14. #26041956	C₂	semidirect
15. #26041954	C₂	semidirect
16. #26041953	C₂	semidirect
17. #26041901	C₂	semidirect
18. #26041899	C₂	semidirect
19. #26041895	C₂	semidirect
20. #26041888	C₂	semidirect
21. #26041885	C₂	semidirect
22. #26041877	C₂	semidirect
23. #26041877	C₂	semidirect
24. #26041877	C₂	semidirect
25. #26041869	C₂	semidirect
26. #26041868	C₂	semidirect
27. #26041868	C₂	semidirect
28. #26041816	C₂	semidirect
29. #26041814	C₂	semidirect
30. #26041812	C₂	semidirect
31. #541×C₁₈₁	C₂	semidirect
32. #19153815	C₂²	semidirect
33. #19153814	C₂²	semidirect
42. #19153811	C₂²	semidirect
43. #19153811	C₂²	semidirect
44. #19153811	C₂²	semidirect
47. #19153810	C₂²	semidirect
48. #19153810	C₂²	semidirect
49. #19153810	C₂²	semidirect
51. #19153807	C₂²	semidirect
52. #19153807	C₂²	semidirect
53. #19153806	C₂²	semidirect
54. #19153806	C₂²	semidirect
55. #19153806	C₂²	semidirect
56. #19153806	C₂²	semidirect
57. #19153806	C₂²	semidirect
61. #19153805	C₂²	semidirect
62. #19153805	C₂²	semidirect
66. #19153804	C₂²	semidirect
83. #19153801	C₂²	semidirect
84. #19153801	C₂²	semidirect
85. #19153801	C₂²	semidirect
86. #19153801	C₂²	semidirect
87. #19153801	C₂²	semidirect
88. #19153801	C₂²	semidirect
95. #19153796	C₂²	semidirect
96. #19153796	C₂²	semidirect
101. #19153794	C₂²	semidirect
102. #19153794	C₂²	semidirect
103. #19153794	C₂²	semidirect
104. #19153794	C₂²	semidirect
105. #19153794	C₂²	semidirect
106. #19153794	C₂²	semidirect
109. #19153792	C₂²	semidirect
119. #19153791	C₂²	semidirect
120. #19153791	C₂²	semidirect
121. #19153791	C₂²	semidirect
132. C₄×Dic₃₆₂	C₂²	semidirect
133. C₄×Dic₃₆₂	C₂²	semidirect
134. #19153781	C₂²	semidirect
135. #19153781	C₂²	semidirect
140. C₄×D₇₂₄	C₂²	semidirect
141. C₄×D₇₂₄	C₂²	semidirect
142. C₄×D₇₂₄	C₂²	semidirect
147. #19153778	C₂²	semidirect
148. #19153778	C₂²	semidirect
149. #19153778	C₂²	semidirect
156. #19153774	C₂²	semidirect
157. #19153774	C₂²	semidirect
158. #19153774	C₂²	semidirect
159. #19153774	C₂²	semidirect
162. #19153773	C₂²	semidirect
163. #19153773	C₂²	semidirect
165. C₄⋊C₄×D₁₈₁	C₂²	semidirect
166. C₄⋊C₄×D₁₈₁	C₂²	semidirect
167. C₄⋊C₄×D₁₈₁	C₂²	semidirect
171. C₄²×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
475. C₁₈₁	#3566	semidirect
497. #541	D₁₈₁	semidirect
510. C₄⋊Q₈	C₂×D₁₈₁	semidirect
539. #125	C₂×D₁₈₁	semidirect
540. #125	C₂×D₁₈₁	semidirect
541. #125	C₂×D₁₈₁	semidirect
542. #125	C₂×D₁₈₁	semidirect
543. #125	C₂×D₁₈₁	semidirect
624. C₄×Q₈	C₂×D₁₈₁	semidirect
625. 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
#26042028	2
#26042027	2
#26042025	2
#26042020	2
#26042014	2
#26042001	2
#26041995	2
#26041982	2
#26041980	2
#26041973	2
#26041967	2
#26041965	2
#26041961	2
#26041956	2
#26041954	2
#26041953	2
#26041901	2
#26041899	2
#26041895	2
#26041888	2
#26041885	2
#26041877	2
#26041869	2
#26041868	2
#26041816	2
#26041814	2
#26041812	2
#541×C₁₈₁	2
#3566	181