Subgroups — #464×D₁₉₁ #37581960

Order 24448.

500 conjugacy classes of subgroups.

The subgroup lattice has 390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×Q₁₆×D₁₉₁	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×SD₁₆×D₁₉₁	C₂	1	1	yes	maximal, characteristic
3	#124×D₁₉₁	C₂	1	1	yes	maximal, characteristic
4	C₄×Q₈×D₁₉₁	C₂	1	1	yes	maximal, characteristic, complemented
5	#27132888	C₂	1	1	yes	maximal, characteristic, complemented
6	#27132887	C₂	1	1	yes	maximal, characteristic, complemented
7	#27132886	C₂	1	1	yes	maximal, characteristic, complemented
8	#27132885	C₂	1	1	yes	maximal, characteristic, complemented
9	#27132884	C₂	1	1	yes	maximal, characteristic, complemented
10	#27132883	C₂	1	1	yes	maximal, characteristic, complemented
11	#27132882	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄⋊C₈×D₁₉₁	C₂	1	1	yes	maximal, characteristic, complemented
13	#103×D₁₉₁	C₂	1	1	yes	maximal, characteristic, complemented
14	#102×D₁₉₁	C₂	1	1	yes	maximal, characteristic
15	#464×C₁₉₁	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×Q₈×D₁₉₁	C₂²	1	1	yes	characteristic
17	C₂×Q₈×D₁₉₁	C₂²	1	1	yes	characteristic
18	C₂×D₄×D₁₉₁	C₂²	1	1	yes	characteristic
19	C₂×Dic₇₆₄	C₂²	1	1	yes	characteristic, complemented
20	C₂×#15690277	C₂²	1	1	yes	characteristic, complemented
21	C₂×#15690277	C₂²	1	1	yes	characteristic, complemented
22	Q₁₆×D₁₉₁	—	2	4	no	—
23	C₂×#15690276	C₂²	1	1	yes	characteristic
24	C₂×#15690275	C₂²	1	1	yes	characteristic
25	C₂×#15690274	C₂²	1	1	yes	characteristic
26	SD₁₆×D₁₉₁	—	2	4	no	—
27	C₂×C₈×D₁₉₁	C₂²	1	1	yes	characteristic
28	C₂×C₈×D₁₉₁	C₂²	1	1	yes	characteristic
29	#20259311	C₂²	1	1	yes	characteristic
30	#20259310	C₂²	1	1	yes	characteristic
31	#20259309	C₂²	1	1	yes	characteristic
32	#20259308	—	2	1	no	—
33	#20259308	—	2	1	no	—
34	Q₈×Dic₁₉₁	C₂²	1	1	yes	characteristic, complemented
35	C₄×Dic₃₈₂	—	2	1	no	—
36	C₄×Dic₃₈₂	C₂²	1	1	yes	characteristic, complemented
37	#20259287	—	2	1	no	—
38	#20259287	C₂²	1	1	yes	characteristic, complemented
39	C₄⋊C₄×D₁₉₁	—	2	1	no	—
40	C₄⋊C₄×D₁₉₁	C₂²	1	1	yes	characteristic
41	C₂²⋊C₄×D₁₉₁	—	2	1	no	—
42	C₂²⋊C₄×D₁₉₁	—	2	1	no	—
43	C₄²×D₁₉₁	—	2	1	no	—
44	C₄²×D₁₉₁	C₂²	1	1	yes	characteristic
45	C₄⋊(C₁₉₁⋊C₈)	C₂²	1	1	yes	characteristic, complemented
46	Dic₁₉₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
47	Dic₁₉₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
48	#20259247	C₂²	1	1	yes	characteristic, complemented
49	#20259246	C₂²	1	1	yes	characteristic, complemented
50	#20259245	C₂²	1	1	yes	characteristic, complemented
51	#20259244	C₂²	1	1	yes	characteristic
52	#20259243	C₂²	1	1	yes	characteristic
53	#20259242	C₂²	1	1	yes	characteristic
54	C₂×Q₁₆×C₁₉₁	C₂²	1	1	yes	characteristic, complemented
55	C₂×SD₁₆×C₁₉₁	C₂²	1	1	yes	characteristic
56	#124×C₁₉₁	C₂²	1	1	yes	characteristic
57	C₄×Q₈×C₁₉₁	C₂²	1	1	yes	characteristic, complemented
58	C₄⋊C₈×C₁₉₁	C₂²	1	1	yes	characteristic, complemented
59	#103×C₁₉₁	C₂²	1	1	yes	characteristic, complemented
60	#102×C₁₉₁	C₂²	1	1	yes	characteristic
61	C₂³×D₁₉₁	—	2	1	no	—
62	C₂×Dic₃₈₂	—	2	1	no	—
63	C₂×Dic₃₈₂	—	2	1	no	—
64	C₂×Dic₃₈₂	C₂³	1	1	yes	characteristic
65	C₂×Dic₃₈₂	C₂³	1	1	yes	characteristic
66	Q₈×D₁₉₁	—	2	2	no	—
67	Q₈×D₁₉₁	—	2	2	no	—
68	Q₈×D₁₉₁	—	2	2	no	—
69	Q₈×D₁₉₁	D₄	1	4	yes	—
70	C₂×D₇₆₄	C₂³	1	1	yes	characteristic
71	C₂×C₂²⋊D₁₉₁	—	2	1	no	—
72	D₄×D₁₉₁	—	2	2	no	—
73	D₄×D₁₉₁	—	2	2	no	—
74	C₂×C₄×D₁₉₁	—	2	1	no	—
75	C₂×C₄×D₁₉₁	—	2	1	no	—
76	C₂×C₄×D₁₉₁	—	2	1	no	—
77	C₂×C₄×D₁₉₁	D₄	1	1	yes	characteristic
78	C₂×C₄×D₁₉₁	D₄	1	1	yes	characteristic
79	C₂×C₄×D₁₉₁	C₂³	1	1	yes	characteristic
80	Dic₇₆₄	—	2	2	no	—
81	#15690277	—	2	2	no	—
82	#15690277	—	2	2	no	—
83	#15690276	—	2	2	no	—
84	#15690275	—	2	2	no	—
85	#15690274	—	2	2	no	—
86	C₂×C₁₉₁⋊C₈	C₂³	1	1	yes	characteristic
87	C₂×C₁₉₁⋊C₈	C₂³	1	1	yes	characteristic
88	C₈×D₁₉₁	—	2	2	no	—
89	C₈×D₁₉₁	—	2	2	no	—
90	C₄⋊Dic₁₉₁	—	2	1	no	—
91	C₄⋊Dic₁₉₁	C₂³	1	1	yes	characteristic
92	Dic₁₉₁⋊C₄	—	2	1	no	—
93	Dic₁₉₁⋊C₄	—	2	1	no	—
94	Dic₁₉₁⋊C₄	—	2	1	no	—
95	C₂²⋊Dic₁₉₁	—	2	1	no	—
96	C₂²⋊Dic₁₉₁	—	2	1	no	—
97	(C₂×D₁₉₁)⋊C₄	—	2	1	no	—
98	(C₂×D₁₉₁)⋊C₄	—	2	1	no	—
99	(C₂×D₁₉₁)⋊C₄	—	2	1	no	—
100	(C₂×D₁₉₁)⋊C₄	—	2	1	no	—
101	C₄×Dic₁₉₁	—	2	1	no	—
102	C₄×Dic₁₉₁	—	2	1	no	—
103	C₄×Dic₁₉₁	—	2	1	no	—
104	C₄×Dic₁₉₁	D₄	1	1	yes	characteristic
105	C₄×Dic₁₉₁	D₄	1	1	yes	characteristic
106	C₄×Dic₁₉₁	C₂³	1	1	yes	characteristic
107	C₂×Q₈×C₁₉₁	C₂³	1	1	yes	characteristic
108	C₂×Q₈×C₁₉₁	C₂³	1	1	yes	characteristic
109	C₂×D₄×C₁₉₁	C₂³	1	1	yes	characteristic
110	Q₁₆×C₁₉₁	—	2	2	no	—
111	SD₁₆×C₁₉₁	—	2	2	no	—
112	C₂×C₈×C₁₉₁	C₂³	1	1	yes	characteristic
113	C₂×C₈×C₁₉₁	C₂³	1	1	yes	characteristic
114	C₄⋊C₄×C₁₉₁	—	2	1	no	—
115	C₄⋊C₄×C₁₉₁	C₂³	1	1	yes	characteristic
116	C₂²⋊C₄×C₁₉₁	—	2	1	no	—
117	C₂²⋊C₄×C₁₉₁	—	2	1	no	—
118	C₄²×C₁₉₁	—	2	1	no	—
119	C₄²×C₁₉₁	C₂³	1	1	yes	characteristic
120	C₂²×D₁₉₁	—	2	1	no	—
121	C₂²×D₁₉₁	—	4	2	no	—
122	C₂²×D₁₉₁	—	4	2	no	—
123	C₂²×D₁₉₁	—	4	2	no	—
124	C₂²×D₁₉₁	C₂×D₄	1	1	yes	characteristic
125	Dic₃₈₂	—	2	1	no	—
126	Dic₃₈₂	—	2	4	no	—
127	Dic₃₈₂	—	2	1	no	—
128	Dic₃₈₂	—	2	1	no	—
129	Dic₃₈₂	—	4	2	no	—
130	Dic₃₈₂	C₂×D₄	1	2	yes	—
131	D₇₆₄	—	2	1	no	—
132	D₇₆₄	—	2	1	no	—
133	C₂²⋊D₁₉₁	—	4	2	no	—
134	C₂×Dic₁₉₁	—	2	1	no	—
135	C₂×Dic₁₉₁	—	2	1	no	—
136	C₂×Dic₁₉₁	—	2	1	no	—
137	C₂×Dic₁₉₁	C₂×D₄	1	1	yes	characteristic
138	C₂×Dic₁₉₁	C₂×D₄	1	1	yes	characteristic
139	C₂×Dic₁₉₁	C₂×D₄	1	1	yes	characteristic
140	C₄×D₁₉₁	—	2	4	no	—
141	C₄×D₁₉₁	—	2	2	no	—
142	C₄×D₁₉₁	—	2	2	no	—
143	C₄×D₁₉₁	—	4	2	no	—
144	C₄×D₁₉₁	—	4	2	no	—
145	C₄×D₁₉₁	C₂×D₄	1	2	yes	—
146	C₄×D₁₉₁	#41	1	2	yes	—
147	C₁₉₁⋊C₈	—	2	1	no	—
148	C₁₉₁⋊C₈	—	2	1	no	—
149	C₂³×C₁₉₁	—	2	1	no	—
150	Q₈×C₁₉₁	—	2	1	no	—
151	Q₈×C₁₉₁	—	2	1	no	—
152	Q₈×C₁₉₁	—	2	1	no	—
153	Q₈×C₁₉₁	C₂×D₄	1	2	yes	—
154	D₄×C₁₉₁	—	2	1	no	—
155	D₄×C₁₉₁	—	2	1	no	—
156	C₂×C₄×C₁₉₁	—	2	1	no	—
157	C₂×C₄×C₁₉₁	—	2	1	no	—
158	C₂×C₄×C₁₉₁	—	2	1	no	—
159	C₂×C₄×C₁₉₁	C₂×D₄	1	1	yes	characteristic
160	C₂×C₄×C₁₉₁	C₂×D₄	1	1	yes	characteristic
161	C₂×C₄×C₁₉₁	C₂⁴	1	1	yes	characteristic
162	C₈×C₁₉₁	—	2	1	no	—
163	C₈×C₁₉₁	—	2	1	no	—
164	C₂²×C₁₉₁	—	4	1	no	—
165	C₂²×C₁₉₁	—	4	1	no	—
166	C₂²×C₁₉₁	—	4	1	no	—
167	C₂²×C₁₉₁	C₂²×D₄	1	1	yes	characteristic
168	C₂×D₁₉₁	—	4	1	no	—
169	C₂×D₁₉₁	—	4	1	no	—
170	C₂×D₁₉₁	—	4	1	no	—
171	C₂×D₁₉₁	—	8	4	no	—
172	C₂×D₁₉₁	#121	1	2	yes	—
173	C₂×D₁₉₁	#135	1	2	yes	—
174	C₂×D₁₉₁	#137	1	2	yes	—
175	C₄×C₁₉₁	—	2	2	no	—
176	C₄×C₁₉₁	—	2	1	no	—
177	C₄×C₁₉₁	—	2	1	no	—
178	C₄×C₁₉₁	—	4	1	no	—
179	C₄×C₁₉₁	—	4	1	no	—
180	C₄×C₁₉₁	C₂²×D₄	1	1	yes	characteristic
181	C₄×C₁₉₁	C₂×#41	1	1	yes	characteristic
182	Dic₁₉₁	—	2	2	no	—
183	Dic₁₉₁	—	2	1	no	—
184	Dic₁₉₁	—	2	1	no	—
185	Dic₁₉₁	—	4	1	no	—
186	Dic₁₉₁	—	4	1	no	—
187	Dic₁₉₁	#121	1	2	yes	—
188	C₂×C₁₉₁	—	8	1	no	—
189	C₂×C₁₉₁	C₂×#121	1	1	yes	characteristic
190	C₂×C₁₉₁	C₂×#135	1	1	yes	characteristic
191	C₂×C₁₉₁	C₂×#137	1	1	yes	characteristic
192	D₁₉₁	—	8	1	no	—
193	D₁₉₁	#464	1	4	yes	direct product factor
194	C₁₉₁	C₂×#464	1	1	yes	characteristic, complemented, Sylow
195	C₂×#464	—	191	1	no	maximal, Sylow
196	C₂²×Q₁₆	—	191	1	no	—
197	C₂²×SD₁₆	—	191	1	no	—
198	C₂×#124	—	191	1	no	—
199	C₂×C₄×Q₈	—	191	1	no	—
200	#464	—	191	1	no	—
201	#464	—	191	1	no	—
202	#464	—	191	1	no	—
203	#464	—	191	1	no	—
204	#464	—	191	1	no	—
205	#464	—	191	1	no	—
206	#464	—	191	1	no	—
207	#464	D₁₉₁	1	1	yes	characteristic, direct product factor
208	C₂×C₄⋊C₈	—	191	1	no	—
209	C₂×#103	—	191	1	no	—
210	C₂×#102	—	191	1	no	—
211	C₂²×Q₈	—	191	1	no	—
212	C₂²×Q₈	—	191	1	no	—
213	C₂²×D₄	—	191	1	no	—
214	C₂×Q₁₆	—	382	4	no	—
215	C₂×Q₁₆	—	191	1	no	—
216	C₂×Q₁₆	—	191	1	no	—
217	C₂×Q₁₆	—	191	1	no	—
218	C₂×Q₁₆	C₂×D₁₉₁	1	1	yes	characteristic, complemented
219	C₂×SD₁₆	—	382	4	no	—
220	C₂×SD₁₆	—	191	1	no	—
221	C₂×SD₁₆	—	191	1	no	—
222	C₂×SD₁₆	—	191	1	no	—
223	C₂×SD₁₆	C₂×D₁₉₁	1	1	yes	characteristic
224	C₂²×C₈	—	191	1	no	—
225	C₂²×C₈	—	191	1	no	—
226	#124	—	382	1	no	—
227	#124	—	382	1	no	—
228	#124	—	191	1	no	—
229	#124	—	191	1	no	—
230	#124	—	191	1	no	—
231	#124	C₂×D₁₉₁	1	1	yes	characteristic
232	C₄×Q₈	—	382	1	no	—
233	C₄×Q₈	—	382	1	no	—
234	C₄×Q₈	—	191	1	no	—
235	C₄×Q₈	—	191	1	no	—
236	C₄×Q₈	—	191	1	no	—
237	C₄×Q₈	C₂×D₁₉₁	1	1	yes	characteristic, complemented
238	C₂×C₄⋊C₄	—	382	1	no	—
239	C₂×C₄⋊C₄	—	191	1	no	—
240	C₂×C₂²⋊C₄	—	382	1	no	—
241	C₂×C₂²⋊C₄	—	382	1	no	—
242	C₂×C₄²	—	382	1	no	—
243	C₂×C₄²	—	191	1	no	—
244	C₄⋊C₈	—	191	1	no	—
245	C₄⋊C₈	—	191	1	no	—
246	C₄⋊C₈	—	191	1	no	—
247	C₄⋊C₈	C₂×D₁₉₁	1	1	yes	characteristic, complemented
248	#103	—	191	1	no	—
249	#103	—	191	1	no	—
250	#103	—	191	1	no	—
251	#103	C₂×D₁₉₁	1	1	yes	characteristic, complemented
252	#102	—	191	1	no	—
253	#102	—	191	1	no	—
254	#102	—	191	1	no	—
255	#102	C₂×D₁₉₁	1	1	yes	characteristic
256	C₂⁴	—	382	1	no	—
257	C₂×Q₈	—	382	1	no	—
258	C₂×Q₈	—	382	1	no	—
259	C₂×Q₈	—	382	2	no	—
260	C₂×Q₈	—	382	2	no	—
261	C₂×Q₈	—	382	2	no	—
262	C₂×Q₈	—	191	4	no	—
263	C₂×Q₈	—	191	1	no	—
264	C₂×Q₈	—	191	1	no	—
265	C₂×Q₈	C₂²×D₁₉₁	1	1	yes	characteristic
266	C₂×Q₈	C₂²×D₁₉₁	1	1	yes	characteristic
267	C₂×D₄	—	382	2	no	—
268	C₂×D₄	—	382	2	no	—
269	C₂×D₄	—	382	1	no	—
270	C₂×D₄	—	191	1	no	—
271	C₂×D₄	C₂²×D₁₉₁	1	1	yes	characteristic
272	C₂²×C₄	—	382	1	no	—
273	C₂²×C₄	—	382	1	no	—
274	C₂²×C₄	—	382	1	no	—
275	C₂²×C₄	—	191	1	no	—
276	C₂²×C₄	—	191	1	no	—
277	C₂²×C₄	—	191	1	no	—
278	Q₁₆	—	2	2	no	—
279	Q₁₆	—	382	2	no	—
280	Q₁₆	—	382	2	no	—
281	Q₁₆	—	382	2	no	—
282	SD₁₆	—	2	2	no	—
283	SD₁₆	—	382	2	no	—
284	SD₁₆	—	382	2	no	—
285	SD₁₆	—	382	2	no	—
286	C₂×C₈	—	382	2	no	—
287	C₂×C₈	—	382	2	no	—
288	C₂×C₈	—	191	1	no	—
289	C₂×C₈	—	191	1	no	—
290	C₂×C₈	C₂²×D₁₉₁	1	1	yes	characteristic
291	C₂×C₈	C₂²×D₁₉₁	1	1	yes	characteristic
292	C₄⋊C₄	—	2	1	no	—
293	C₄⋊C₄	—	382	1	no	—
294	C₄⋊C₄	—	382	1	no	—
295	C₄⋊C₄	—	382	1	no	—
296	C₄⋊C₄	—	382	1	no	—
297	C₄⋊C₄	—	191	1	no	—
298	C₄⋊C₄	C₂²×D₁₉₁	1	1	yes	characteristic
299	C₂²⋊C₄	—	2	1	no	—
300	C₂²⋊C₄	—	2	1	no	—
301	C₂²⋊C₄	—	382	1	no	—
302	C₂²⋊C₄	—	382	1	no	—
303	C₂²⋊C₄	—	382	1	no	—
304	C₂²⋊C₄	—	382	1	no	—
305	C₂²⋊C₄	—	382	1	no	—
306	C₂²⋊C₄	—	382	1	no	—
307	C₄²	—	2	1	no	—
308	C₄²	—	382	1	no	—
309	C₄²	—	382	1	no	—
310	C₄²	—	382	1	no	—
311	C₄²	—	191	1	no	—
312	C₄²	—	191	1	no	—
313	C₄²	—	191	1	no	—
314	C₄²	C₂²×D₁₉₁	1	1	yes	characteristic
315	C₂³	—	2	1	no	—
316	C₂³	—	382	1	no	—
317	C₂³	—	191	1	no	—
318	C₂³	—	764	2	no	—
319	C₂³	—	764	2	no	—
320	C₂³	—	764	2	no	—
321	Q₈	—	2	1	no	—
322	Q₈	—	2	1	no	—
323	Q₈	—	2	1	no	—
324	Q₈	—	382	4	no	—
325	Q₈	—	382	1	no	—
326	Q₈	—	382	1	no	—
327	Q₈	—	382	1	no	—
328	Q₈	—	191	2	no	—
329	Q₈	—	764	2	no	—
330	Q₈	D₄×D₁₉₁	1	2	yes	—
331	D₄	—	2	1	no	—
332	D₄	—	2	1	no	—
333	D₄	—	382	1	no	—
334	D₄	—	382	1	no	—
335	D₄	—	764	2	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	—	382	4	no	—
340	C₂×C₄	—	382	2	no	—
341	C₂×C₄	—	382	2	no	—
342	C₂×C₄	—	382	1	no	—
343	C₂×C₄	—	382	1	no	—
344	C₂×C₄	—	382	1	no	—
345	C₂×C₄	—	191	1	no	—
346	C₂×C₄	—	191	1	no	—
347	C₂×C₄	—	191	1	no	—
348	C₂×C₄	—	191	2	no	—
349	C₂×C₄	—	191	2	no	—
350	C₂×C₄	—	764	2	no	—
351	C₂×C₄	—	764	2	no	—
352	C₂×C₄	D₄×D₁₉₁	1	1	yes	characteristic
353	C₂×C₄	D₄×D₁₉₁	1	1	yes	characteristic
354	C₂×C₄	C₂³×D₁₉₁	1	1	yes	characteristic
355	C₈	—	2	1	no	—
356	C₈	—	2	1	no	—
357	C₈	—	382	1	no	—
358	C₈	—	382	1	no	—
359	C₂²	—	4	1	no	—
360	C₂²	—	4	1	no	—
361	C₂²	—	4	1	no	—
362	C₂²	—	191	2	no	—
363	C₂²	—	191	2	no	—
364	C₂²	—	191	2	no	—
365	C₂²	—	1528	4	no	—
366	C₂²	—	764	1	no	—
367	C₂²	—	764	1	no	—
368	C₂²	—	764	1	no	—
369	C₂²	C₂×D₄×D₁₉₁	1	1	yes	characteristic
370	C₄	—	2	1	no	—
371	C₄	—	2	1	no	—
372	C₄	—	2	2	no	—
373	C₄	—	4	1	no	—
374	C₄	—	4	1	no	—
375	C₄	—	382	1	no	—
376	C₄	—	382	1	no	—
377	C₄	—	382	2	no	—
378	C₄	—	191	2	no	—
379	C₄	—	764	1	no	—
380	C₄	—	764	1	no	—
381	C₄	C₂×D₄×D₁₉₁	1	1	yes	characteristic
382	C₄	#41×D₁₉₁	1	1	yes	characteristic
383	C₂	—	8	1	no	—
384	C₂	—	191	4	no	—
385	C₂	—	1528	1	no	—
386	C₂	#121×D₁₉₁	1	1	yes	characteristic
387	C₂	#135×D₁₉₁	1	1	yes	characteristic
388	C₂	#137×D₁₉₁	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₉₁
commutator, cosocle	C₂×C₄×C₁₉₁	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉₁
Fitting	#464×C₁₉₁	C₂
socle	C₂²×C₁₉₁	C₂²×D₄
prime radical	C₂×D₄×D₁₉₁	C₂²
hypercenter	#464	D₁₉₁
hypocenter	C₁₉₁	C₂×#464
LCS	G ▷ C₂×C₄×C₁₉₁ ▷ C₂×C₁₉₁ ▷ C₁₉₁
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #464

Complements

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

N	H ≅ G/N	type
1. C₂×Q₁₆×D₁₉₁	C₂	semidirect
4. C₄×Q₈×D₁₉₁	C₂	semidirect
5. #27132888	C₂	semidirect
6. #27132887	C₂	semidirect
7. #27132886	C₂	semidirect
8. #27132885	C₂	semidirect
9. #27132884	C₂	semidirect
10. #27132883	C₂	semidirect
11. #27132882	C₂	semidirect
12. C₄⋊C₈×D₁₉₁	C₂	semidirect
13. #103×D₁₉₁	C₂	semidirect
15. #464×C₁₉₁	C₂	semidirect
19. C₂×Dic₇₆₄	C₂²	semidirect
20. C₂×#15690277	C₂²	semidirect
21. C₂×#15690277	C₂²	semidirect
34. Q₈×Dic₁₉₁	C₂²	semidirect
36. C₄×Dic₃₈₂	C₂²	semidirect
38. #20259287	C₂²	semidirect
45. C₄⋊(C₁₉₁⋊C₈)	C₂²	semidirect
46. Dic₁₉₁⋊C₈	C₂²	semidirect
47. Dic₁₉₁⋊C₈	C₂²	semidirect
48. #20259247	C₂²	semidirect
49. #20259246	C₂²	semidirect
50. #20259245	C₂²	semidirect
54. C₂×Q₁₆×C₁₉₁	C₂²	semidirect
57. C₄×Q₈×C₁₉₁	C₂²	semidirect
58. C₄⋊C₈×C₁₉₁	C₂²	semidirect
59. #103×C₁₉₁	C₂²	semidirect
193. D₁₉₁	#464	direct (N × H)
194. C₁₉₁	C₂×#464	semidirect
207. #464	D₁₉₁	direct (N × H)
218. C₂×Q₁₆	C₂×D₁₉₁	semidirect
237. C₄×Q₈	C₂×D₁₉₁	semidirect
247. C₄⋊C₈	C₂×D₁₉₁	semidirect
251. #103	C₂×D₁₉₁	semidirect

Maximal subgroups

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

subgroup	index
C₂×Q₁₆×D₁₉₁	2
C₂×SD₁₆×D₁₉₁	2
#124×D₁₉₁	2
C₄×Q₈×D₁₉₁	2
#27132888	2
#27132887	2
#27132886	2
#27132885	2
#27132884	2
#27132883	2
#27132882	2
C₄⋊C₈×D₁₉₁	2
#103×D₁₉₁	2
#102×D₁₉₁	2
#464×C₁₉₁	2
C₂×#464	191

Subgroups — #464×D191 #37581960

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #464×D₁₉₁ #37581960