Subgroups — #37581064

Order 24448.

738 conjugacy classes of subgroups.

The subgroup lattice has 372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#27133499	C₂	1	1	yes	maximal, characteristic
2	#27133429	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×#15690287	C₂	1	1	yes	maximal, characteristic, complemented
4	#27132680	C₂	1	1	yes	maximal, characteristic, complemented
5	#27132679	C₂	1	1	yes	maximal, characteristic, complemented
6	#27132678	C₂	1	4	yes	maximal, complemented
7	C₂×#20259250	C₂	1	1	yes	maximal, characteristic, complemented
8	#104×D₁₉₁	C₂	1	4	yes	maximal, complemented
9	C₂×#104×C₁₉₁	C₂	1	1	yes	maximal, characteristic, complemented
10	#20259370	C₄	1	2	yes	complemented
11	#20259369	—	2	1	no	—
12	#20259369	C₄	1	2	yes	complemented
13	#20259368	—	2	1	no	—
14	#20259368	C₄	1	2	yes	complemented
15	#20259367	—	2	2	no	—
16	#20259367	C₄	1	2	yes	complemented
17	C₂×#15690287	—	2	2	no	—
18	C₂×#15690287	C₂²	1	1	yes	characteristic
19	C₂×#15690287	C₂²	1	1	yes	characteristic
20	#41×D₁₉₁	—	2	2	no	—
21	#41×D₁₉₁	C₂²	1	4	yes	—
22	#20259330	—	2	2	no	—
23	#20259328	—	2	2	no	—
24	C₂×#15690271	C₂²	1	1	yes	characteristic, complemented
25	M₁₆×D₁₉₁	C₂²	1	4	yes	complemented
26	C₄×Dic₃₈₂	—	2	1	no	—
27	C₄×D₇₆₄	—	2	1	no	—
28	C₄×C₂²⋊D₁₉₁	—	2	2	no	—
29	#20259281	C₂²	1	1	yes	characteristic, complemented
30	#20259279	C₂²	1	2	yes	complemented
31	C₄²×D₁₉₁	C₂²	1	2	yes	complemented
32	#20259250	C₂²	1	2	yes	complemented
33	#20259250	C₂²	1	2	yes	complemented
34	#20259249	C₂²	1	4	yes	complemented
35	#20259248	C₂²	1	4	yes	complemented
36	C₂×#41×C₁₉₁	C₂²	1	1	yes	characteristic
37	C₂×M₁₆×C₁₉₁	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₄²×C₁₉₁	C₂²	1	1	yes	characteristic, complemented
39	#104×C₁₉₁	C₂²	1	2	yes	complemented
40	#104×C₁₉₁	C₂²	1	2	yes	complemented
41	#15690288	—	2	2	no	—
42	#15690288	C₂×C₄	1	4	yes	complemented
43	#15690287	—	2	2	no	—
44	#15690287	—	2	2	no	—
45	#15690287	—	2	4	no	—
46	#15690287	—	2	4	no	—
47	#15690287	—	2	1	no	—
48	#15690287	—	2	1	no	—
49	#15690287	C₂×C₄	1	2	yes	—
50	#15690287	C₂×C₄	1	2	yes	—
51	#15690287	C₂×C₄	1	2	yes	complemented
52	#15690287	D₄	1	2	yes	—
53	#15690287	D₄	1	2	yes	—
54	#15690287	C₂³	1	2	yes	—
55	#15690286	—	2	2	no	—
56	#15690286	—	2	4	no	—
57	#15690286	—	2	4	no	—
58	#15690286	C₂×C₄	1	4	yes	complemented
59	C₂×Dic₃₈₂	—	2	2	no	—
60	C₂×Dic₃₈₂	C₂×C₄	1	1	yes	characteristic, complemented
61	C₂×Dic₃₈₂	D₄	1	1	yes	characteristic
62	Q₈×D₁₉₁	—	2	2	no	—
63	Q₈×D₁₉₁	C₂×C₄	1	4	yes	complemented
64	C₂×D₇₆₄	—	2	2	no	—
65	C₂×D₇₆₄	C₂×C₄	1	1	yes	characteristic, complemented
66	C₂×D₇₆₄	D₄	1	1	yes	characteristic
67	C₂×C₂²⋊D₁₉₁	—	2	4	no	—
68	C₂×C₂²⋊D₁₉₁	—	2	1	no	—
69	C₂×C₂²⋊D₁₉₁	D₄	1	2	yes	—
70	D₄×D₁₉₁	—	2	4	no	—
71	D₄×D₁₉₁	—	2	2	no	—
72	D₄×D₁₉₁	—	2	4	no	—
73	D₄×D₁₉₁	C₂×C₄	1	4	yes	complemented
74	C₂×C₄×D₁₉₁	—	2	4	no	—
75	C₂×C₄×D₁₉₁	—	2	2	no	—
76	C₂×C₄×D₁₉₁	—	2	1	no	—
77	C₂×C₄×D₁₉₁	C₂³	1	2	yes	—
78	#15690271	—	2	1	no	—
79	#15690271	C₂³	1	2	yes	—
80	#15690270	—	2	4	no	—
81	C₂×C₁₉₁⋊C₈	—	2	1	no	—
82	C₈×D₁₉₁	—	2	4	no	—
83	C₄⋊Dic₁₉₁	—	2	1	no	—
84	Dic₁₉₁⋊C₄	—	2	2	no	—
85	C₂²⋊Dic₁₉₁	—	2	1	no	—
86	(C₂×D₁₉₁)⋊C₄	—	2	2	no	—
87	C₄×Dic₁₉₁	—	2	2	no	—
88	C₄×Dic₁₉₁	C₂³	1	2	yes	—
89	#41×C₁₉₁	—	2	1	no	—
90	#41×C₁₉₁	—	2	1	no	—
91	#41×C₁₉₁	C₂×C₄	1	2	yes	complemented
92	#41×C₁₉₁	C₂³	1	2	yes	—
93	C₂×Q₈×C₁₉₁	C₂×C₄	1	1	yes	characteristic, complemented
94	C₂×D₄×C₁₉₁	—	2	1	no	—
95	C₂×D₄×C₁₉₁	C₂×C₄	1	1	yes	characteristic, complemented
96	C₂²×C₄×C₁₉₁	—	2	1	no	—
97	C₂²×C₄×C₁₉₁	—	2	1	no	—
98	C₂²×C₄×C₁₉₁	C₂³	1	1	yes	characteristic
99	M₁₆×C₁₉₁	—	2	1	no	—
100	M₁₆×C₁₉₁	C₂³	1	2	yes	—
101	C₂×C₈×C₁₉₁	—	2	1	no	—
102	C₄²×C₁₉₁	—	2	1	no	—
103	C₄²×C₁₉₁	C₂³	1	1	yes	characteristic
104	C₄²×C₁₉₁	C₂³	1	1	yes	characteristic
105	C₂²×D₁₉₁	—	2	1	no	—
106	C₂²×D₁₉₁	—	2	4	no	—
107	C₂²×D₁₉₁	C₂×D₄	1	2	yes	—
108	Dic₃₈₂	—	2	1	no	—
109	Dic₃₈₂	—	2	4	no	—
110	Dic₃₈₂	C₂²⋊C₄	1	2	yes	—
111	Dic₃₈₂	C₂²⋊C₄	1	2	yes	—
112	Dic₃₈₂	C₂²×C₄	1	2	yes	—
113	D₇₆₄	—	2	4	no	—
114	D₇₆₄	—	2	1	no	—
115	D₇₆₄	C₂²⋊C₄	1	2	yes	—
116	D₇₆₄	C₂²⋊C₄	1	2	yes	—
117	D₇₆₄	C₂²×C₄	1	2	yes	—
118	C₂²⋊D₁₉₁	—	2	2	no	—
119	C₂²⋊D₁₉₁	—	2	2	no	—
120	C₂²⋊D₁₉₁	—	2	4	no	—
121	C₂²⋊D₁₉₁	—	2	4	no	—
122	C₂²⋊D₁₉₁	C₂²⋊C₄	1	4	yes	—
123	C₂²⋊D₁₉₁	C₂²⋊C₄	1	4	yes	—
124	C₂×Dic₁₉₁	—	2	1	no	—
125	C₂×Dic₁₉₁	—	2	4	no	—
126	C₂×Dic₁₉₁	—	2	2	no	—
127	C₂×Dic₁₉₁	C₂×D₄	1	2	yes	—
128	C₄×D₁₉₁	—	2	4	no	—
129	C₄×D₁₉₁	—	2	2	no	—
130	C₄×D₁₉₁	—	2	2	no	—
131	C₄×D₁₉₁	—	2	4	no	—
132	C₄×D₁₉₁	—	4	4	no	—
133	C₄×D₁₉₁	C₂²×C₄	1	4	yes	—
134	C₄×D₁₉₁	C₂×D₄	1	4	yes	—
135	C₁₉₁⋊C₈	—	2	2	no	—
136	C₂³×C₁₉₁	—	2	1	no	—
137	C₂³×C₁₉₁	C₂×D₄	1	1	yes	characteristic
138	Q₈×C₁₉₁	—	2	1	no	—
139	Q₈×C₁₉₁	C₂²×C₄	1	2	yes	—
140	D₄×C₁₉₁	—	2	2	no	—
141	D₄×C₁₉₁	—	2	2	no	—
142	D₄×C₁₉₁	—	2	1	no	—
143	D₄×C₁₉₁	C₂²×C₄	1	2	yes	—
144	C₂×C₄×C₁₉₁	—	2	1	no	—
145	C₂×C₄×C₁₉₁	—	2	1	no	—
146	C₂×C₄×C₁₉₁	—	2	2	no	—
147	C₂×C₄×C₁₉₁	—	2	2	no	—
148	C₂×C₄×C₁₉₁	—	2	1	no	—
149	C₂×C₄×C₁₉₁	—	4	2	no	—
150	C₂×C₄×C₁₉₁	C₂²×C₄	1	1	yes	characteristic
151	C₂×C₄×C₁₉₁	C₂²×C₄	1	1	yes	characteristic
152	C₂×C₄×C₁₉₁	C₂×D₄	1	1	yes	characteristic
153	C₂×C₄×C₁₉₁	C₂×D₄	1	1	yes	characteristic
154	C₂×C₄×C₁₉₁	C₂×D₄	1	1	yes	characteristic
155	C₂×C₄×C₁₉₁	C₂⁴	1	1	yes	characteristic
156	C₈×C₁₉₁	—	2	2	no	—
157	C₂²×C₁₉₁	—	2	2	no	—
158	C₂²×C₁₉₁	—	4	1	no	—
159	C₂²×C₁₉₁	—	8	1	no	—
160	C₂²×C₁₉₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
161	C₂²×C₁₉₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
162	C₂²×C₁₉₁	C₂²×D₄	1	1	yes	characteristic
163	C₂×D₁₉₁	—	2	2	no	—
164	C₂×D₁₉₁	—	4	2	no	—
165	C₂×D₁₉₁	—	8	4	no	—
166	C₂×D₁₉₁	—	8	1	no	—
167	C₂×D₁₉₁	C₂×C₂²⋊C₄	1	4	yes	—
168	C₄×C₁₉₁	—	2	2	no	—
169	C₄×C₁₉₁	—	2	2	no	—
170	C₄×C₁₉₁	—	4	1	no	—
171	C₄×C₁₉₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
172	C₄×C₁₉₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
173	C₄×C₁₉₁	C₂³×C₄	1	1	yes	characteristic
174	C₄×C₁₉₁	C₂²×D₄	1	1	yes	characteristic
175	Dic₁₉₁	—	2	2	no	—
176	Dic₁₉₁	—	4	2	no	—
177	Dic₁₉₁	C₂×C₂²⋊C₄	1	4	yes	—
178	C₂×C₁₉₁	—	2	1	no	—
179	C₂×C₁₉₁	—	2	1	no	—
180	C₂×C₁₉₁	—	2	1	no	—
181	C₂×C₁₉₁	—	4	2	no	—
182	C₂×C₁₉₁	C₂²×C₂²⋊C₄	1	1	yes	characteristic
183	D₁₉₁	—	2	4	no	—
184	D₁₉₁	—	4	2	no	—
185	C₁₉₁	#2901	1	1	yes	characteristic, complemented, Sylow
186	#2901	—	191	1	no	maximal, Sylow
187	#585	—	191	1	no	—
188	#568	—	191	1	no	—
189	C₄×#41	—	191	1	no	—
190	#421	—	191	1	no	—
191	#421	—	191	1	no	—
192	#421	—	191	4	no	—
193	C₂×#104	—	191	1	no	—
194	C₂×#104	—	191	4	no	—
195	C₂×#104	D₁₉₁	1	1	yes	characteristic, complemented
196	2₋¹⁺⁴	—	382	1	no	—
197	2₋¹⁺⁴	—	191	2	no	—
198	2₋¹⁺⁴	—	191	2	no	—
199	H(5,𝔽₂)	—	382	2	no	—
200	H(5,𝔽₂)	—	382	1	no	—
201	H(5,𝔽₂)	—	191	2	no	—
202	H(5,𝔽₂)	—	191	2	no	—
203	C₂×#41	—	382	2	no	—
204	C₂×#41	—	382	2	no	—
205	C₂×#41	—	191	4	no	—
206	C₂×#41	—	191	1	no	—
207	C₂×#41	—	191	1	no	—
208	C₂×#41	C₂×D₁₉₁	1	1	yes	characteristic
209	#131	—	382	2	no	—
210	#131	—	382	2	no	—
211	C₂×M₁₆	—	191	1	no	—
212	C₂×M₁₆	—	191	4	no	—
213	C₂×M₁₆	C₂×D₁₉₁	1	1	yes	characteristic, complemented
214	C₄×Q₈	—	382	1	no	—
215	C₄×D₄	—	382	1	no	—
216	C₄×D₄	—	382	2	no	—
217	#117	—	191	1	no	—
218	#117	—	191	2	no	—
219	C₂×C₄²	—	191	2	no	—
220	C₂×C₄²	C₂×D₁₉₁	1	1	yes	characteristic, complemented
221	#104	—	191	4	no	—
222	#104	—	191	4	no	—
223	#104	—	191	2	no	—
224	#104	—	191	2	no	—
225	#104	C₂×D₁₉₁	1	2	yes	complemented
226	#104	C₂×D₁₉₁	1	2	yes	complemented
227	#41	—	2	1	no	—
228	#41	—	2	1	no	—
229	#41	—	382	2	no	—
230	#41	—	382	4	no	—
231	#41	—	382	2	no	—
232	#41	—	382	4	no	—
233	#41	—	382	2	no	—
234	#41	—	382	4	no	—
235	#41	—	382	2	no	—
236	#41	—	382	4	no	—
237	#41	—	382	1	no	—
238	#41	—	382	1	no	—
239	#41	—	191	4	no	—
240	#41	—	191	4	no	—
241	#41	—	191	2	no	—
242	#41	—	191	2	no	—
243	#41	—	191	2	no	—
244	#41	—	191	2	no	—
245	#41	—	191	2	no	—
246	#41	—	191	2	no	—
247	#41	C₄×D₁₉₁	1	2	yes	complemented
248	#41	C₂²×D₁₉₁	1	2	yes	—
249	C₂×Q₈	—	382	2	no	—
250	C₂×Q₈	—	382	2	no	—
251	C₂×Q₈	—	191	4	no	—
252	C₂×Q₈	—	191	1	no	—
253	C₂×Q₈	—	191	1	no	—
254	C₂×Q₈	C₄×D₁₉₁	1	1	yes	characteristic, complemented
255	C₂×D₄	—	2	1	no	—
256	C₂×D₄	—	382	2	no	—
257	C₂×D₄	—	382	4	no	—
258	C₂×D₄	—	382	4	no	—
259	C₂×D₄	—	382	2	no	—
260	C₂×D₄	—	382	1	no	—
261	C₂×D₄	—	382	4	no	—
262	C₂×D₄	—	191	4	no	—
263	C₂×D₄	—	191	2	no	—
264	C₂×D₄	—	191	1	no	—
265	C₂×D₄	—	191	1	no	—
266	C₂×D₄	C₄×D₁₉₁	1	1	yes	characteristic, complemented
267	C₂²×C₄	—	2	1	no	—
268	C₂²×C₄	—	2	1	no	—
269	C₂²×C₄	—	382	4	no	—
270	C₂²×C₄	—	382	2	no	—
271	C₂²×C₄	—	382	1	no	—
272	C₂²×C₄	—	191	2	no	—
273	C₂²×C₄	C₂²×D₁₉₁	1	1	yes	characteristic
274	M₁₆	—	2	1	no	—
275	M₁₆	—	382	4	no	—
276	M₁₆	—	382	1	no	—
277	M₁₆	—	191	2	no	—
278	M₁₆	C₂²×D₁₉₁	1	2	yes	—
279	C₂×C₈	—	2	1	no	—
280	C₂×C₈	—	382	4	no	—
281	C₂×C₈	—	382	1	no	—
282	C₄⋊C₄	—	382	2	no	—
283	C₄⋊C₄	—	382	1	no	—
284	C₂²⋊C₄	—	382	2	no	—
285	C₂²⋊C₄	—	382	1	no	—
286	C₄²	—	2	1	no	—
287	C₄²	—	382	2	no	—
288	C₄²	—	191	2	no	—
289	C₄²	C₂²×D₁₉₁	1	1	yes	characteristic
290	C₄²	C₂²×D₁₉₁	1	1	yes	characteristic
291	C₂³	—	2	1	no	—
292	C₂³	—	382	4	no	—
293	C₂³	—	382	1	no	—
294	C₂³	—	191	2	no	—
295	C₂³	D₄×D₁₉₁	1	1	yes	characteristic
296	Q₈	—	2	1	no	—
297	Q₈	—	382	4	no	—
298	Q₈	—	382	1	no	—
299	Q₈	—	191	2	no	—
300	Q₈	—	191	2	no	—
301	Q₈	—	191	2	no	—
302	Q₈	C₂×C₄×D₁₉₁	1	2	yes	—
303	D₄	—	2	2	no	—
304	D₄	—	2	2	no	—
305	D₄	—	2	1	no	—
306	D₄	—	382	4	no	—
307	D₄	—	382	4	no	—
308	D₄	—	382	2	no	—
309	D₄	—	382	2	no	—
310	D₄	—	382	4	no	—
311	D₄	—	382	1	no	—
312	D₄	—	191	4	no	—
313	D₄	—	191	4	no	—
314	D₄	—	191	2	no	—
315	D₄	—	191	2	no	—
316	D₄	—	191	2	no	—
317	D₄	C₂×C₄×D₁₉₁	1	2	yes	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	4	2	no	—
324	C₂×C₄	—	382	4	no	—
325	C₂×C₄	—	382	4	no	—
326	C₂×C₄	—	382	1	no	—
327	C₂×C₄	—	382	4	no	—
328	C₂×C₄	—	382	2	no	—
329	C₂×C₄	—	382	2	no	—
330	C₂×C₄	—	382	2	no	—
331	C₂×C₄	—	191	2	no	—
332	C₂×C₄	—	191	4	no	—
333	C₂×C₄	—	191	4	no	—
334	C₂×C₄	—	764	4	no	—
335	C₂×C₄	C₂×C₄×D₁₉₁	1	1	yes	characteristic
336	C₂×C₄	C₂×C₄×D₁₉₁	1	1	yes	characteristic
337	C₂×C₄	D₄×D₁₉₁	1	1	yes	characteristic
338	C₂×C₄	D₄×D₁₉₁	1	1	yes	characteristic
339	C₂×C₄	D₄×D₁₉₁	1	1	yes	characteristic
340	C₂×C₄	C₂³×D₁₉₁	1	1	yes	characteristic
341	C₈	—	2	2	no	—
342	C₈	—	382	2	no	—
343	C₂²	—	2	2	no	—
344	C₂²	—	4	1	no	—
345	C₂²	—	8	1	no	—
346	C₂²	—	382	2	no	—
347	C₂²	—	191	4	no	—
348	C₂²	—	1528	1	no	—
349	C₂²	—	1528	4	no	—
350	C₂²	—	764	2	no	—
351	C₂²	C₂²⋊C₄×D₁₉₁	1	1	yes	characteristic
352	C₂²	C₂²⋊C₄×D₁₉₁	1	1	yes	characteristic
353	C₂²	C₂×D₄×D₁₉₁	1	1	yes	characteristic
354	C₄	—	2	2	no	—
355	C₄	—	2	2	no	—
356	C₄	—	4	1	no	—
357	C₄	—	382	2	no	—
358	C₄	—	191	4	no	—
359	C₄	—	764	2	no	—
360	C₄	C₂²⋊C₄×D₁₉₁	1	1	yes	characteristic
361	C₄	C₂²⋊C₄×D₁₉₁	1	1	yes	characteristic
362	C₄	C₂²×C₄×D₁₉₁	1	1	yes	characteristic
363	C₄	C₂×D₄×D₁₉₁	1	1	yes	characteristic
364	C₂	—	2	1	no	—
365	C₂	—	2	1	no	—
366	C₂	—	2	1	no	—
367	C₂	—	4	2	no	—
368	C₂	—	382	4	no	—
369	C₂	—	764	2	no	—
370	C₂	C₂×C₂²⋊C₄×D₁₉₁	1	1	yes	characteristic

	subgroup	G/H
center	C₄	C₂×D₄×D₁₉₁
commutator	C₄×C₁₉₁	C₂³×C₄
Frattini	C₂×C₄	C₂³×D₁₉₁
Fitting	C₂×#104×C₁₉₁	C₂
socle	C₂×C₁₉₁	C₂²×C₂²⋊C₄
prime radical	#27133499	C₂
cosocle	C₂×C₄×C₁₉₁	C₂⁴
hypercenter	C₂×#104	D₁₉₁
hypocenter	C₁₉₁	#2901
LCS	G ▷ C₄×C₁₉₁ ▷ C₂×C₁₉₁ ▷ C₁₉₁
UCS	C₁ ◁ C₄ ◁ C₂²×C₄ ◁ C₂×#104

Complements

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

N	H ≅ G/N	type
2. #27133429	C₂	semidirect
3. C₄×#15690287	C₂	semidirect
4. #27132680	C₂	semidirect
5. #27132679	C₂	semidirect
6. #27132678	C₂	semidirect
7. C₂×#20259250	C₂	semidirect
8. #104×D₁₉₁	C₂	semidirect
9. C₂×#104×C₁₉₁	C₂	semidirect
10. #20259370	C₄	semidirect
12. #20259369	C₄	semidirect
14. #20259368	C₄	semidirect
16. #20259367	C₄	semidirect
24. C₂×#15690271	C₂²	semidirect
25. M₁₆×D₁₉₁	C₂²	semidirect
29. #20259281	C₂²	semidirect
30. #20259279	C₂²	semidirect
31. C₄²×D₁₉₁	C₂²	semidirect
32. #20259250	C₂²	semidirect
33. #20259250	C₂²	semidirect
34. #20259249	C₂²	semidirect
35. #20259248	C₂²	semidirect
37. C₂×M₁₆×C₁₉₁	C₂²	semidirect
38. C₂×C₄²×C₁₉₁	C₂²	semidirect
39. #104×C₁₉₁	C₂²	semidirect
40. #104×C₁₉₁	C₂²	semidirect
42. #15690288	C₂×C₄	semidirect
51. #15690287	C₂×C₄	semidirect
58. #15690286	C₂×C₄	semidirect
60. C₂×Dic₃₈₂	C₂×C₄	semidirect
63. Q₈×D₁₉₁	C₂×C₄	semidirect
65. C₂×D₇₆₄	C₂×C₄	semidirect
73. D₄×D₁₉₁	C₂×C₄	semidirect
91. #41×C₁₉₁	C₂×C₄	semidirect
93. C₂×Q₈×C₁₉₁	C₂×C₄	semidirect
95. C₂×D₄×C₁₉₁	C₂×C₄	semidirect
185. C₁₉₁	#2901	semidirect
195. C₂×#104	D₁₉₁	semidirect
213. C₂×M₁₆	C₂×D₁₉₁	semidirect
220. C₂×C₄²	C₂×D₁₉₁	semidirect
225. #104	C₂×D₁₉₁	semidirect
226. #104	C₂×D₁₉₁	semidirect
247. #41	C₄×D₁₉₁	semidirect
254. C₂×Q₈	C₄×D₁₉₁	semidirect
266. C₂×D₄	C₄×D₁₉₁	semidirect

Maximal subgroups

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

subgroup	index
#27133499	2
#27133429	2
C₄×#15690287	2
#27132680	2
#27132679	2
#27132678	2
C₂×#20259250	2
#104×D₁₉₁	2
C₂×#104×C₁₉₁	2
#2901	191