Subgroups — C₄×#20259343 #37581289

Order 24448.

500 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#20259343	C₂	1	1	yes	maximal, characteristic
2	C₄×#15690288	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×#15690286	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄×#15690277	C₂	1	1	yes	maximal, characteristic, complemented
5	#27132755	C₂	1	1	yes	maximal, characteristic, complemented
6	C₄×#15690276	C₂	1	1	yes	maximal, characteristic, complemented
7	SD₁₆×Dic₁₉₁	C₂	1	1	yes	maximal, characteristic, complemented
8	#27132750	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄×#15690272	C₂	1	1	yes	maximal, characteristic, complemented
10	#27132743	C₂	1	1	yes	maximal, characteristic, complemented
11	#27132698	C₂	1	1	yes	maximal, characteristic, complemented
12	#27132658	C₂	1	1	yes	maximal, characteristic, complemented
13	#27132656	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₈×D₁₉₁	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×SD₁₆×C₁₉₁	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#15690288	C₂²	1	1	yes	characteristic
17	C₂×#15690286	C₂²	1	1	yes	characteristic
18	#20259343	C₄	1	8	yes	direct product factor
19	C₂×#15690277	C₂²	1	1	yes	characteristic
20	C₂×#15690276	C₂²	1	1	yes	characteristic
21	C₂×#15690272	C₂²	1	1	yes	characteristic
22	C₂×C₈×D₁₉₁	C₂²	1	1	yes	characteristic
23	C₂×C₈×D₁₉₁	C₂²	1	1	yes	characteristic
24	Q₈×Dic₁₉₁	C₂²	1	1	yes	characteristic
25	C₄×Dic₃₈₂	C₂²	1	1	yes	characteristic
26	#20259287	C₂²	1	1	yes	characteristic
27	C₄×D₇₆₄	—	2	1	no	—
28	C₄×D₇₆₄	C₂²	1	1	yes	characteristic
29	D₄×Dic₁₉₁	C₂²	1	1	yes	characteristic
30	#20259284	—	2	1	no	—
31	#20259284	C₂²	1	1	yes	characteristic
32	C₄×C₂²⋊D₁₉₁	—	2	1	no	—
33	(C₂²⋊D₁₉₁)⋊C₄	—	2	1	no	—
34	#20259280	—	2	1	no	—
35	#20259280	C₂²	1	1	yes	characteristic
36	#20259280	C₂²	1	1	yes	characteristic
37	#20259278	—	2	1	no	—
38	C₂×C₄×Dic₁₉₁	—	2	1	no	—
39	C₄²×D₁₉₁	—	2	1	no	—
40	C₄²×D₁₉₁	C₂²	1	1	yes	characteristic
41	#20259255	C₂²	1	1	yes	characteristic
42	#20259255	C₂²	1	1	yes	characteristic
43	#20259254	C₂²	1	1	yes	characteristic
44	#20259247	C₂²	1	1	yes	characteristic
45	#20259246	C₂²	1	1	yes	characteristic
46	#20259245	C₂²	1	1	yes	characteristic
47	#20259244	C₂²	1	1	yes	characteristic
48	#20259243	C₂²	1	1	yes	characteristic
49	#20259242	C₂²	1	1	yes	characteristic
50	C₄×C₁₉₁⋊C₈	C₂²	1	1	yes	characteristic
51	C₈×Dic₁₉₁	C₂²	1	1	yes	characteristic
52	C₈×Dic₁₉₁	C₂²	1	1	yes	characteristic
53	C₂×SD₁₆×C₁₉₁	C₂²	1	1	yes	characteristic
54	C₄×Q₈×C₁₉₁	C₂²	1	1	yes	characteristic
55	C₄×D₄×C₁₉₁	C₂²	1	1	yes	characteristic
56	#106×C₁₉₁	C₂²	1	1	yes	characteristic
57	#103×C₁₉₁	C₂²	1	1	yes	characteristic
58	#102×C₁₉₁	C₂²	1	1	yes	characteristic
59	C₄×C₈×C₁₉₁	C₂²	1	1	yes	characteristic
60	#15690288	—	2	2	no	—
61	#15690288	C₂×C₄	1	4	yes	complemented
62	#15690286	—	2	2	no	—
63	#15690286	C₂×C₄	1	4	yes	complemented
64	C₂×Dic₃₈₂	C₂³	1	1	yes	characteristic
65	C₂×D₇₆₄	—	2	1	no	—
66	C₂×D₇₆₄	C₂³	1	1	yes	characteristic
67	C₂×C₂²⋊D₁₉₁	—	2	1	no	—
68	C₂²×Dic₁₉₁	—	2	1	no	—
69	C₂²×Dic₁₉₁	—	2	1	no	—
70	C₂×C₄×D₁₉₁	—	2	1	no	—
71	C₂×C₄×D₁₉₁	—	2	1	no	—
72	C₂×C₄×D₁₉₁	—	2	1	no	—
73	C₂×C₄×D₁₉₁	D₄	1	1	yes	characteristic
74	C₂×C₄×D₁₉₁	D₄	1	1	yes	characteristic
75	C₂×C₄×D₁₉₁	C₂³	1	1	yes	characteristic
76	#15690277	C₂×C₄	1	4	yes	complemented
77	#15690276	C₂×C₄	1	4	yes	complemented
78	#15690272	C₂×C₄	1	4	yes	complemented
79	C₂×C₁₉₁⋊C₈	C₂³	1	1	yes	characteristic
80	C₂×C₁₉₁⋊C₈	C₂³	1	1	yes	characteristic
81	C₈×D₁₉₁	—	2	2	no	—
82	C₈×D₁₉₁	C₂×C₄	1	4	yes	complemented
83	C₄⋊Dic₁₉₁	—	2	1	no	—
84	C₄⋊Dic₁₉₁	C₂³	1	1	yes	characteristic
85	C₄⋊Dic₁₉₁	C₂³	1	1	yes	characteristic
86	Dic₁₉₁⋊C₄	—	2	1	no	—
87	Dic₁₉₁⋊C₄	—	2	1	no	—
88	C₂²⋊Dic₁₉₁	—	2	1	no	—
89	(C₂×D₁₉₁)⋊C₄	—	2	1	no	—
90	(C₂×D₁₉₁)⋊C₄	—	2	1	no	—
91	(C₂×D₁₉₁)⋊C₄	—	2	1	no	—
92	(C₂×D₁₉₁)⋊C₄	—	2	1	no	—
93	C₄×Dic₁₉₁	—	2	1	no	—
94	C₄×Dic₁₉₁	—	2	1	no	—
95	C₄×Dic₁₉₁	—	2	1	no	—
96	C₄×Dic₁₉₁	—	2	1	no	—
97	C₄×Dic₁₉₁	—	2	1	no	—
98	C₄×Dic₁₉₁	D₄	1	1	yes	characteristic
99	C₄×Dic₁₉₁	D₄	1	1	yes	characteristic
100	C₄×Dic₁₉₁	C₂³	1	1	yes	characteristic
101	C₂×Q₈×C₁₉₁	C₂³	1	1	yes	characteristic
102	C₂×D₄×C₁₉₁	C₂³	1	1	yes	characteristic
103	C₂²×C₄×C₁₉₁	—	2	1	no	—
104	SD₁₆×C₁₉₁	C₂×C₄	1	4	yes	complemented
105	C₂×C₈×C₁₉₁	C₂³	1	1	yes	characteristic
106	C₂×C₈×C₁₉₁	C₂³	1	1	yes	characteristic
107	C₄⋊C₄×C₁₉₁	—	2	1	no	—
108	C₄⋊C₄×C₁₉₁	C₂³	1	1	yes	characteristic
109	C₄⋊C₄×C₁₉₁	C₂³	1	1	yes	characteristic
110	C₂²⋊C₄×C₁₉₁	—	2	1	no	—
111	C₄²×C₁₉₁	—	2	1	no	—
112	C₄²×C₁₉₁	C₂³	1	1	yes	characteristic
113	C₂²×D₁₉₁	—	2	1	no	—
114	C₂²×D₁₉₁	C₂×D₄	1	1	yes	characteristic
115	Dic₃₈₂	—	2	1	no	—
116	Dic₃₈₂	C₂²×C₄	1	2	yes	—
117	D₇₆₄	—	2	4	no	—
118	D₇₆₄	—	2	1	no	—
119	D₇₆₄	C₂²×C₄	1	2	yes	—
120	C₂²⋊D₁₉₁	—	2	4	no	—
121	C₂×Dic₁₉₁	—	2	1	no	—
122	C₂×Dic₁₉₁	—	2	4	no	—
123	C₂×Dic₁₉₁	—	2	1	no	—
124	C₂×Dic₁₉₁	—	2	1	no	—
125	C₂×Dic₁₉₁	—	4	2	no	—
126	C₂×Dic₁₉₁	C₂×D₄	1	1	yes	characteristic
127	C₂×Dic₁₉₁	C₂×D₄	1	1	yes	characteristic
128	C₂×Dic₁₉₁	C₂×D₄	1	1	yes	characteristic
129	C₄×D₁₉₁	—	2	2	no	—
130	C₄×D₁₉₁	—	2	4	no	—
131	C₄×D₁₉₁	—	2	2	no	—
132	C₄×D₁₉₁	—	4	2	no	—
133	C₄×D₁₉₁	—	4	2	no	—
134	C₄×D₁₉₁	C₂²×C₄	1	2	yes	—
135	C₄×D₁₉₁	#41	1	2	yes	—
136	C₁₉₁⋊C₈	—	2	1	no	—
137	C₁₉₁⋊C₈	C₂²×C₄	1	2	yes	—
138	C₂³×C₁₉₁	—	2	1	no	—
139	Q₈×C₁₉₁	—	2	1	no	—
140	Q₈×C₁₉₁	C₂²×C₄	1	2	yes	—
141	D₄×C₁₉₁	—	2	1	no	—
142	D₄×C₁₉₁	C₂²×C₄	1	2	yes	—
143	C₂×C₄×C₁₉₁	—	2	1	no	—
144	C₂×C₄×C₁₉₁	—	2	1	no	—
145	C₂×C₄×C₁₉₁	—	2	1	no	—
146	C₂×C₄×C₁₉₁	—	4	2	no	—
147	C₂×C₄×C₁₉₁	C₂×D₄	1	1	yes	characteristic
148	C₂×C₄×C₁₉₁	C₂×D₄	1	1	yes	characteristic
149	C₂×C₄×C₁₉₁	C₂⁴	1	1	yes	characteristic
150	C₈×C₁₉₁	—	2	1	no	—
151	C₈×C₁₉₁	C₂²×C₄	1	2	yes	—
152	C₂²×C₁₉₁	—	2	2	no	—
153	C₂²×C₁₉₁	—	4	1	no	—
154	C₂²×C₁₉₁	—	4	1	no	—
155	C₂²×C₁₉₁	C₂²×D₄	1	1	yes	characteristic
156	C₂×D₁₉₁	—	2	1	no	—
157	C₂×D₁₉₁	—	2	1	no	—
158	C₂×D₁₉₁	—	2	2	no	—
159	C₂×D₁₉₁	—	4	1	no	—
160	C₂×D₁₉₁	—	4	1	no	—
161	C₂×D₁₉₁	C₄×D₄	1	2	yes	—
162	C₄×C₁₉₁	—	2	2	no	—
163	C₄×C₁₉₁	—	2	1	no	—
164	C₄×C₁₉₁	—	4	1	no	—
165	C₄×C₁₉₁	—	4	1	no	—
166	C₄×C₁₉₁	#135	1	2	yes	complemented
167	C₄×C₁₉₁	C₂³×C₄	1	1	yes	characteristic
168	C₄×C₁₉₁	C₂×#41	1	1	yes	characteristic
169	Dic₁₉₁	—	2	2	no	—
170	Dic₁₉₁	—	2	1	no	—
171	Dic₁₉₁	—	4	1	no	—
172	Dic₁₉₁	—	4	1	no	—
173	Dic₁₉₁	C₄×D₄	1	2	yes	—
174	Dic₁₉₁	#135	1	2	yes	complemented
175	C₂×C₁₉₁	—	4	2	no	—
176	C₂×C₁₉₁	C₂×C₄×D₄	1	1	yes	characteristic
177	C₂×C₁₉₁	C₂×#135	1	1	yes	characteristic
178	C₂×C₁₉₁	C₂×#135	1	1	yes	characteristic
179	D₁₉₁	—	2	2	no	—
180	D₁₉₁	—	4	2	no	—
181	C₁₉₁	C₄×#135	1	1	yes	characteristic, complemented, Sylow
182	C₄×#135	—	191	1	no	maximal, Sylow
183	C₂×#135	—	191	1	no	—
184	C₄×#41	—	191	1	no	—
185	C₄×#41	—	191	1	no	—
186	C₄×Q₁₆	—	191	1	no	—
187	C₄×Q₁₆	—	191	1	no	—
188	C₄×SD₁₆	—	191	1	no	—
189	C₄×SD₁₆	—	191	1	no	—
190	C₄×SD₁₆	—	191	1	no	—
191	C₄×SD₁₆	D₁₉₁	1	1	yes	characteristic, complemented
192	C₄×D₈	—	191	1	no	—
193	C₄×D₈	—	191	1	no	—
194	#427	—	191	1	no	—
195	#416	—	191	1	no	—
196	#416	—	191	1	no	—
197	C₂×C₄×C₈	—	191	1	no	—
198	C₂×#41	—	191	1	no	—
199	C₂×#41	—	191	1	no	—
200	#135	—	191	8	no	—
201	C₂×Q₁₆	—	191	1	no	—
202	C₂×SD₁₆	—	191	1	no	—
203	C₂×SD₁₆	C₂×D₁₉₁	1	1	yes	characteristic
204	C₂×D₈	—	191	1	no	—
205	C₂²×C₈	—	191	1	no	—
206	C₂²×C₈	—	191	1	no	—
207	C₄×Q₈	—	191	1	no	—
208	C₄×Q₈	—	191	1	no	—
209	C₄×Q₈	—	191	1	no	—
210	C₄×Q₈	C₂×D₁₉₁	1	1	yes	characteristic
211	C₄×D₄	—	382	1	no	—
212	C₄×D₄	—	382	1	no	—
213	C₄×D₄	—	382	1	no	—
214	C₄×D₄	—	382	1	no	—
215	C₄×D₄	—	191	1	no	—
216	C₄×D₄	—	191	1	no	—
217	C₄×D₄	—	191	1	no	—
218	C₄×D₄	C₂×D₁₉₁	1	1	yes	characteristic
219	#117	—	382	1	no	—
220	#117	—	382	1	no	—
221	#117	—	191	1	no	—
222	#117	—	191	1	no	—
223	C₂×C₄²	—	382	1	no	—
224	C₂×C₄²	—	382	1	no	—
225	C₂×C₄²	—	191	1	no	—
226	#107	—	191	1	no	—
227	#107	—	191	1	no	—
228	#106	—	191	1	no	—
229	#106	C₂×D₁₉₁	1	1	yes	characteristic
230	#103	—	191	1	no	—
231	#103	—	191	1	no	—
232	#103	—	191	1	no	—
233	#103	C₂×D₁₉₁	1	1	yes	characteristic
234	#102	—	191	1	no	—
235	#102	—	191	1	no	—
236	#102	—	191	1	no	—
237	#102	C₂×D₁₉₁	1	1	yes	characteristic
238	C₄×C₈	—	191	1	no	—
239	C₄×C₈	—	191	1	no	—
240	C₄×C₈	—	191	1	no	—
241	C₄×C₈	C₂×D₁₉₁	1	1	yes	characteristic
242	#41	—	382	2	no	—
243	#41	—	382	2	no	—
244	#41	—	191	4	no	—
245	#41	—	191	4	no	—
246	C₂×Q₈	—	191	1	no	—
247	C₂×Q₈	C₂²×D₁₉₁	1	1	yes	characteristic
248	C₂×D₄	—	382	1	no	—
249	C₂×D₄	—	382	1	no	—
250	C₂×D₄	—	191	1	no	—
251	C₂×D₄	C₂²×D₁₉₁	1	1	yes	characteristic
252	C₂²×C₄	—	2	1	no	—
253	C₂²×C₄	—	382	1	no	—
254	C₂²×C₄	—	382	1	no	—
255	C₂²×C₄	—	382	1	no	—
256	C₂²×C₄	—	382	1	no	—
257	C₂²×C₄	—	382	1	no	—
258	C₂²×C₄	—	191	1	no	—
259	C₂²×C₄	—	191	1	no	—
260	C₂²×C₄	—	191	1	no	—
261	Q₁₆	—	191	4	no	—
262	SD₁₆	—	191	4	no	—
263	SD₁₆	C₄×D₁₉₁	1	4	yes	complemented
264	D₈	—	191	4	no	—
265	C₂×C₈	—	382	2	no	—
266	C₂×C₈	—	191	1	no	—
267	C₂×C₈	—	191	1	no	—
268	C₂×C₈	—	191	4	no	—
269	C₂×C₈	C₂²×D₁₉₁	1	1	yes	characteristic
270	C₂×C₈	C₂²×D₁₉₁	1	1	yes	characteristic
271	C₄⋊C₄	—	2	1	no	—
272	C₄⋊C₄	—	382	1	no	—
273	C₄⋊C₄	—	382	1	no	—
274	C₄⋊C₄	—	382	1	no	—
275	C₄⋊C₄	—	191	1	no	—
276	C₄⋊C₄	—	191	1	no	—
277	C₄⋊C₄	C₂²×D₁₉₁	1	1	yes	characteristic
278	C₄⋊C₄	C₂²×D₁₉₁	1	1	yes	characteristic
279	C₂²⋊C₄	—	2	1	no	—
280	C₂²⋊C₄	—	382	1	no	—
281	C₂²⋊C₄	—	382	1	no	—
282	C₂²⋊C₄	—	382	1	no	—
283	C₂²⋊C₄	—	382	1	no	—
284	C₂²⋊C₄	—	382	1	no	—
285	C₄²	—	2	1	no	—
286	C₄²	—	382	1	no	—
287	C₄²	—	382	1	no	—
288	C₄²	—	382	1	no	—
289	C₄²	—	382	1	no	—
290	C₄²	—	382	1	no	—
291	C₄²	—	191	1	no	—
292	C₄²	—	191	1	no	—
293	C₄²	—	191	1	no	—
294	C₄²	C₂²×D₁₉₁	1	1	yes	characteristic
295	C₂³	—	2	1	no	—
296	C₂³	—	382	1	no	—
297	C₂³	—	191	1	no	—
298	Q₈	—	2	1	no	—
299	Q₈	—	382	1	no	—
300	Q₈	—	191	2	no	—
301	Q₈	C₂×C₄×D₁₉₁	1	2	yes	—
302	D₄	—	2	1	no	—
303	D₄	—	382	4	no	—
304	D₄	—	382	4	no	—
305	D₄	—	382	1	no	—
306	D₄	—	191	2	no	—
307	D₄	C₂×C₄×D₁₉₁	1	2	yes	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	4	2	no	—
312	C₂×C₄	—	382	4	no	—
313	C₂×C₄	—	382	2	no	—
314	C₂×C₄	—	382	1	no	—
315	C₂×C₄	—	382	4	no	—
316	C₂×C₄	—	382	2	no	—
317	C₂×C₄	—	382	1	no	—
318	C₂×C₄	—	382	1	no	—
319	C₂×C₄	—	191	1	no	—
320	C₂×C₄	—	191	1	no	—
321	C₂×C₄	—	191	1	no	—
322	C₂×C₄	—	191	2	no	—
323	C₂×C₄	—	191	2	no	—
324	C₂×C₄	—	764	2	no	—
325	C₂×C₄	—	764	2	no	—
326	C₂×C₄	—	764	2	no	—
327	C₂×C₄	D₄×D₁₉₁	1	1	yes	characteristic
328	C₂×C₄	D₄×D₁₉₁	1	1	yes	characteristic
329	C₂×C₄	C₂³×D₁₉₁	1	1	yes	characteristic
330	C₈	—	2	1	no	—
331	C₈	—	382	1	no	—
332	C₈	—	191	2	no	—
333	C₈	C₂×C₄×D₁₉₁	1	2	yes	—
334	C₂²	—	2	2	no	—
335	C₂²	—	4	1	no	—
336	C₂²	—	4	1	no	—
337	C₂²	—	382	1	no	—
338	C₂²	—	382	1	no	—
339	C₂²	—	382	2	no	—
340	C₂²	—	191	2	no	—
341	C₂²	—	764	1	no	—
342	C₂²	—	764	1	no	—
343	C₂²	C₂×D₄×D₁₉₁	1	1	yes	characteristic
344	C₄	—	2	1	no	—
345	C₄	—	2	2	no	—
346	C₄	—	4	1	no	—
347	C₄	—	4	1	no	—
348	C₄	—	382	1	no	—
349	C₄	—	382	2	no	—
350	C₄	—	191	2	no	—
351	C₄	—	191	2	no	—
352	C₄	—	764	1	no	—
353	C₄	—	764	1	no	—
354	C₄	#20259343	1	2	yes	direct product factor
355	C₄	C₂²×C₄×D₁₉₁	1	1	yes	characteristic
356	C₄	#41×D₁₉₁	1	1	yes	characteristic
357	C₂	—	4	2	no	—
358	C₂	—	382	2	no	—
359	C₂	—	764	2	no	—
360	C₂	C₄×D₄×D₁₉₁	1	1	yes	characteristic
361	C₂	#135×D₁₉₁	1	1	yes	characteristic
362	C₂	C₂×#20259343	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	D₄×D₁₉₁
commutator	C₄×C₁₉₁	C₂³×C₄
Frattini	C₂×C₄	C₂³×D₁₉₁
Fitting	C₄×SD₁₆×C₁₉₁	C₂
socle	C₂²×C₁₉₁	C₂²×D₄
prime radical	C₂×#20259343	C₂
cosocle	C₂×C₄×C₁₉₁	C₂⁴
hypercenter	C₄×SD₁₆	D₁₉₁
hypocenter	C₁₉₁	C₄×#135
LCS	G ▷ C₄×C₁₉₁ ▷ C₂×C₁₉₁ ▷ C₁₉₁
UCS	C₁ ◁ C₂×C₄ ◁ C₄² ◁ C₄×SD₁₆

Complements

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

N	H ≅ G/N	type
2. C₄×#15690288	C₂	semidirect
3. C₄×#15690286	C₂	semidirect
4. C₄×#15690277	C₂	semidirect
5. #27132755	C₂	semidirect
6. C₄×#15690276	C₂	semidirect
7. SD₁₆×Dic₁₉₁	C₂	semidirect
8. #27132750	C₂	semidirect
9. C₄×#15690272	C₂	semidirect
10. #27132743	C₂	semidirect
11. #27132698	C₂	semidirect
12. #27132658	C₂	semidirect
13. #27132656	C₂	semidirect
14. C₄×C₈×D₁₉₁	C₂	semidirect
15. C₄×SD₁₆×C₁₉₁	C₂	semidirect
18. #20259343	C₄	direct (N × H)
61. #15690288	C₂×C₄	semidirect
63. #15690286	C₂×C₄	semidirect
76. #15690277	C₂×C₄	semidirect
77. #15690276	C₂×C₄	semidirect
78. #15690272	C₂×C₄	semidirect
82. C₈×D₁₉₁	C₂×C₄	semidirect
104. SD₁₆×C₁₉₁	C₂×C₄	semidirect
166. C₄×C₁₉₁	#135	semidirect
174. Dic₁₉₁	#135	semidirect
181. C₁₉₁	C₄×#135	semidirect
191. C₄×SD₁₆	D₁₉₁	semidirect
263. SD₁₆	C₄×D₁₉₁	semidirect
354. C₄	#20259343	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#20259343	2
C₄×#15690288	2
C₄×#15690286	2
C₄×#15690277	2
#27132755	2
C₄×#15690276	2
SD₁₆×Dic₁₉₁	2
#27132750	2
C₄×#15690272	2
#27132743	2
#27132698	2
#27132658	2
#27132656	2
C₄×C₈×D₁₉₁	2
C₄×SD₁₆×C₁₉₁	2
C₄×#135	191

Subgroups — C4×#20259343 #37581289

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×#20259343 #37581289