Subgroups — C₂²×#15689444 #27084012

Order 12032.

2702 conjugacy classes of subgroups.

The subgroup lattice has 356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#13093983	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#15689444	C₂	1	24	yes	maximal, direct product factor
3	C₂²×#13093957	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×#13093955	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂²×#13093945	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×#13093945	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×C₂²⋊(C₄₇⋊C₈)	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#121×C₄₇	C₂	1	1	yes	maximal, characteristic
9	C₂³×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
10	C₂³×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
11	C₂×#13093983	—	2	6	no	—
12	C₂×#13093983	C₂²	1	12	yes	complemented
13	C₂²×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
14	C₂²×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
15	C₂²×C₂²⋊Dic₄₇	—	2	1	no	—
16	C₂²×C₄×Dic₄₇	—	2	1	no	—
17	#15689444	C₂²	1	64	yes	direct product factor
18	C₂×#13093957	C₂²	1	12	yes	complemented
19	C₂×#13093955	C₂²	1	12	yes	complemented
20	C₂×#13093945	C₂²	1	12	yes	complemented
21	C₂×#13093945	C₂²	1	12	yes	complemented
22	C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	1	12	yes	complemented
23	C₂³×D₄×C₄₇	—	2	1	no	—
24	C₂³×D₄×C₄₇	C₂²	1	1	yes	characteristic
25	C₂⁴×C₄×C₄₇	C₂²	1	1	yes	characteristic
26	C₂×#121×C₄₇	—	2	6	no	—
27	C₂×#121×C₄₇	C₂²	1	12	yes	—
28	C₂²×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
29	C₂²×C₂²⋊C₄×C₄₇	—	2	1	no	—
30	C₂³×Dic₄₇	—	2	1	no	—
31	C₂³×Dic₄₇	—	2	1	no	—
32	C₂²×C₄₇⋊C₈	—	2	4	no	—
33	C₂²×C₄₇⋊C₈	—	2	4	no	—
34	C₂²×C₄₇⋊C₈	C₂³	1	6	yes	—
35	C₂²×C₄₇⋊C₈	C₂³	1	6	yes	—
36	#13093983	—	2	24	no	—
37	#13093983	C₂³	1	16	yes	complemented
38	C₂×C₄⋊Dic₄₇	—	2	3	no	—
39	C₂×C₄⋊Dic₄₇	—	2	3	no	—
40	C₂×C₄⋊Dic₄₇	C₂³	1	6	yes	—
41	C₂×C₄⋊Dic₄₇	C₂³	1	6	yes	—
42	C₂×C₂²⋊Dic₄₇	—	2	12	no	—
43	C₂×C₄×Dic₄₇	—	2	12	no	—
44	#13093957	C₂³	1	16	yes	complemented
45	#13093955	C₂³	1	16	yes	complemented
46	#13093945	C₂³	1	16	yes	complemented
47	#13093945	C₂³	1	16	yes	complemented
48	C₂²⋊(C₄₇⋊C₈)	C₂³	1	16	yes	complemented
49	C₂⁵×C₄₇	—	2	1	no	—
50	C₂⁵×C₄₇	D₄	1	1	yes	characteristic
51	C₂²×D₄×C₄₇	—	2	12	no	—
52	C₂²×D₄×C₄₇	—	2	3	no	—
53	C₂²×D₄×C₄₇	—	2	4	no	—
54	C₂²×D₄×C₄₇	—	2	4	no	—
55	C₂²×D₄×C₄₇	—	4	8	no	—
56	C₂²×D₄×C₄₇	C₂³	1	6	yes	—
57	C₂³×C₄×C₄₇	—	2	4	no	—
58	C₂³×C₄×C₄₇	—	2	4	no	—
59	C₂³×C₄×C₄₇	—	2	1	no	—
60	C₂³×C₄×C₄₇	D₄	1	1	yes	characteristic
61	C₂³×C₄×C₄₇	D₄	1	6	yes	—
62	C₂³×C₄×C₄₇	C₂³	1	6	yes	—
63	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
64	#121×C₄₇	—	2	24	no	—
65	#121×C₄₇	C₂³	1	16	yes	—
66	C₂×C₄⋊C₄×C₄₇	—	2	3	no	—
67	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
68	C₂×C₂²⋊C₄×C₄₇	—	2	12	no	—
69	C₂⁴×C₄₇	—	2	4	no	—
70	C₂⁴×C₄₇	—	2	4	no	—
71	C₂⁴×C₄₇	—	2	4	no	—
72	C₂⁴×C₄₇	—	2	6	no	—
73	C₂⁴×C₄₇	—	4	4	no	—
74	C₂⁴×C₄₇	—	4	4	no	—
75	C₂⁴×C₄₇	—	4	4	no	—
76	C₂⁴×C₄₇	C₂×D₄	1	6	yes	—
77	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
78	C₂×D₄×C₄₇	—	2	16	no	—
79	C₂×D₄×C₄₇	—	2	6	no	—
80	C₂×D₄×C₄₇	—	2	12	no	—
81	C₂×D₄×C₄₇	—	2	12	no	—
82	C₂×D₄×C₄₇	—	4	48	no	—
83	C₂×D₄×C₄₇	—	4	12	no	—
84	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
85	C₂²×C₄×C₄₇	—	2	4	no	—
86	C₂²×C₄×C₄₇	—	2	24	no	—
87	C₂²×C₄×C₄₇	—	2	12	no	—
88	C₂²×C₄×C₄₇	—	2	12	no	—
89	C₂²×C₄×C₄₇	—	2	6	no	—
90	C₂²×C₄×C₄₇	—	4	4	no	—
91	C₂²×C₄×C₄₇	C₂×D₄	1	6	yes	—
92	C₂²×C₄×C₄₇	C₂×D₄	1	12	yes	—
93	C₂²×C₄×C₄₇	C₂×D₄	1	3	yes	—
94	C₂²×C₄×C₄₇	#41	1	4	yes	—
95	C₂²×C₄×C₄₇	#41	1	4	yes	—
96	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
97	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
98	C₂²×Dic₄₇	—	2	6	no	—
99	C₂²×Dic₄₇	—	2	6	no	—
100	C₂²×Dic₄₇	—	4	4	no	—
101	C₂²×Dic₄₇	—	4	4	no	—
102	C₄⋊C₄×C₄₇	—	2	6	no	—
103	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
104	C₂²⋊C₄×C₄₇	—	2	16	no	—
105	C₂²⋊Dic₄₇	—	2	16	no	—
106	C₄⋊Dic₄₇	—	2	6	no	—
107	C₄⋊Dic₄₇	—	2	6	no	—
108	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
109	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
110	C₄×Dic₄₇	—	2	16	no	—
111	C₂×C₄₇⋊C₈	—	2	12	no	—
112	C₂×C₄₇⋊C₈	—	2	12	no	—
113	C₂×C₄₇⋊C₈	C₂⁴	1	4	yes	—
114	C₂×C₄₇⋊C₈	C₂⁴	1	4	yes	—
115	C₂³×C₄₇	—	2	12	no	—
116	C₂³×C₄₇	—	2	12	no	—
117	C₂³×C₄₇	—	2	12	no	—
118	C₂³×C₄₇	—	2	4	no	—
119	C₂³×C₄₇	—	4	16	no	—
120	C₂³×C₄₇	—	4	12	no	—
121	C₂³×C₄₇	—	4	12	no	—
122	C₂³×C₄₇	—	4	12	no	—
123	C₂³×C₄₇	—	8	16	no	—
124	C₂³×C₄₇	#123	1	4	yes	—
125	C₂³×C₄₇	#135	1	4	yes	—
126	C₂³×C₄₇	AGL(1,ℤ/8)	1	4	yes	—
127	C₂³×C₄₇	C₂²×D₄	1	4	yes	—
128	C₂³×C₄₇	C₂²×D₄	1	3	yes	—
129	D₄×C₄₇	—	2	4	no	—
130	D₄×C₄₇	—	2	4	no	—
131	D₄×C₄₇	—	4	32	no	—
132	D₄×C₄₇	—	4	12	no	—
133	C₂×C₄×C₄₇	—	2	12	no	—
134	C₂×C₄×C₄₇	—	2	24	no	—
135	C₂×C₄×C₄₇	—	2	4	no	—
136	C₂×C₄×C₄₇	—	2	4	no	—
137	C₂×C₄×C₄₇	—	2	4	no	—
138	C₂×C₄×C₄₇	—	4	12	no	—
139	C₂×C₄×C₄₇	#123	1	12	yes	—
140	C₂×C₄×C₄₇	C₂²×D₄	1	4	yes	—
141	C₂×C₄×C₄₇	C₂²×D₄	1	3	yes	—
142	C₂×C₄×C₄₇	C₂×#41	1	6	yes	—
143	C₂×C₄×C₄₇	C₂×#41	1	6	yes	—
144	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
145	C₂×Dic₄₇	—	2	4	no	—
146	C₂×Dic₄₇	—	2	4	no	—
147	C₂×Dic₄₇	—	4	12	no	—
148	C₂×Dic₄₇	—	4	12	no	—
149	C₄₇⋊C₈	—	2	4	no	—
150	C₄₇⋊C₈	—	2	4	no	—
151	C₂²×#482	—	47	1	no	maximal, Sylow
152	C₂²×C₄₇	—	2	4	no	—
153	C₂²×C₄₇	—	2	4	no	—
154	C₂²×C₄₇	—	2	4	no	—
155	C₂²×C₄₇	—	4	24	no	—
156	C₂²×C₄₇	—	4	4	no	—
157	C₂²×C₄₇	—	4	4	no	—
158	C₂²×C₄₇	—	4	4	no	—
159	C₂²×C₄₇	—	8	24	no	—
160	C₂²×C₄₇	#482	1	16	yes	complemented
161	C₂²×C₄₇	C₂×#123	1	6	yes	—
162	C₂²×C₄₇	C₂×#135	1	6	yes	—
163	C₂²×C₄₇	C₂×AGL(1,ℤ/8)	1	6	yes	—
164	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
165	C₄×C₄₇	—	2	4	no	—
166	C₄×C₄₇	—	4	4	no	—
167	C₄×C₄₇	C₂×#123	1	6	yes	—
168	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
169	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
170	Dic₄₇	—	4	4	no	—
171	Dic₄₇	—	4	4	no	—
172	C₂²×#121	D₄₇	1	1	yes	characteristic
173	C₂²×#117	—	47	1	no	—
174	C₂×#482	—	47	24	no	—
175	C₂²×#107	—	47	1	no	—
176	C₂²×#106	—	47	1	no	—
177	C₂²×#102	—	47	1	no	—
178	C₂²×#102	—	47	1	no	—
179	C₂²×C₂²⋊C₈	—	47	1	no	—
180	C₂×C₄₇	—	4	4	no	—
181	C₂×C₄₇	—	8	4	no	—
182	C₂×C₄₇	C₂×#482	1	12	yes	complemented
183	C₂×C₄₇	C₂²×#123	1	1	yes	characteristic
184	C₂×C₄₇	C₂²×#135	1	1	yes	characteristic
185	C₂×C₄₇	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
186	C₂³×D₄	—	2	1	no	—
187	C₂³×D₄	C₂×D₄₇	1	1	yes	characteristic
188	C₂⁴×C₄	C₂×D₄₇	1	1	yes	characteristic
189	C₂³×C₈	—	47	1	no	—
190	C₂³×C₈	—	47	1	no	—
191	C₂×#121	—	2	6	no	—
192	C₂×#121	C₂×D₄₇	1	12	yes	—
193	C₂×#117	—	47	12	no	—
194	C₂×#117	—	94	6	no	—
195	C₂²×C₄⋊C₄	—	47	1	no	—
196	C₂²×C₄⋊C₄	—	47	1	no	—
197	C₂²×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
198	C₂²×C₂²⋊C₄	—	2	1	no	—
199	C₂²×C₂²⋊C₄	—	94	1	no	—
200	C₂²×C₄²	—	94	1	no	—
201	#482	—	47	64	no	—
202	C₂×#107	—	47	12	no	—
203	C₂×#106	—	47	12	no	—
204	C₂×#102	—	47	12	no	—
205	C₂×#102	—	47	12	no	—
206	C₂×C₂²⋊C₈	—	47	12	no	—
207	C₄₇	C₂²×#482	1	1	yes	characteristic, complemented, Sylow
208	C₂⁵	—	2	1	no	—
209	C₂⁵	C₂²⋊D₄₇	1	1	yes	characteristic
210	C₂²×D₄	—	2	12	no	—
211	C₂²×D₄	—	2	4	no	—
212	C₂²×D₄	—	2	4	no	—
213	C₂²×D₄	—	2	3	no	—
214	C₂²×D₄	—	4	8	no	—
215	C₂²×D₄	C₂²×D₄₇	1	6	yes	—
216	C₂³×C₄	—	2	4	no	—
217	C₂³×C₄	—	2	4	no	—
218	C₂³×C₄	—	2	1	no	—
219	C₂³×C₄	—	94	1	no	—
220	C₂³×C₄	—	94	1	no	—
221	C₂³×C₄	C₂²⋊D₄₇	1	6	yes	—
222	C₂³×C₄	C₂²⋊D₄₇	1	1	yes	characteristic
223	C₂³×C₄	C₂²×D₄₇	1	6	yes	—
224	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
225	C₂²×C₈	—	47	6	no	—
226	C₂²×C₈	—	47	6	no	—
227	C₂²×C₈	—	94	4	no	—
228	C₂²×C₈	—	94	4	no	—
229	#121	—	2	24	no	—
230	#121	C₂²×D₄₇	1	16	yes	—
231	#117	—	47	16	no	—
232	#117	—	94	24	no	—
233	C₂×C₄⋊C₄	—	2	3	no	—
234	C₂×C₄⋊C₄	—	47	6	no	—
235	C₂×C₄⋊C₄	—	47	6	no	—
236	C₂×C₄⋊C₄	—	94	3	no	—
237	C₂×C₄⋊C₄	—	94	3	no	—
238	C₂×C₄⋊C₄	C₂²×D₄₇	1	6	yes	—
239	C₂×C₂²⋊C₄	—	2	12	no	—
240	C₂×C₂²⋊C₄	—	94	12	no	—
241	C₂×C₄²	—	94	12	no	—
242	#107	—	47	16	no	—
243	#106	—	47	16	no	—
244	#102	—	47	16	no	—
245	#102	—	47	16	no	—
246	C₂²⋊C₈	—	47	16	no	—
247	C₂⁴	—	2	4	no	—
248	C₂⁴	—	2	4	no	—
249	C₂⁴	—	2	4	no	—
250	C₂⁴	—	2	6	no	—
251	C₂⁴	—	4	4	no	—
252	C₂⁴	—	4	4	no	—
253	C₂⁴	—	4	4	no	—
254	C₂⁴	C₂×C₂²⋊D₄₇	1	6	yes	—
255	C₂⁴	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
256	C₂×D₄	—	2	16	no	—
257	C₂×D₄	—	2	6	no	—
258	C₂×D₄	—	2	12	no	—
259	C₂×D₄	—	2	12	no	—
260	C₂×D₄	—	4	48	no	—
261	C₂×D₄	—	4	12	no	—
262	C₂×D₄	C₂³×D₄₇	1	4	yes	—
263	C₂²×C₄	—	2	4	no	—
264	C₂²×C₄	—	2	24	no	—
265	C₂²×C₄	—	2	12	no	—
266	C₂²×C₄	—	2	12	no	—
267	C₂²×C₄	—	2	6	no	—
268	C₂²×C₄	—	4	4	no	—
269	C₂²×C₄	—	94	6	no	—
270	C₂²×C₄	—	94	6	no	—
271	C₂²×C₄	—	188	4	no	—
272	C₂²×C₄	—	188	4	no	—
273	C₂²×C₄	#10625352	1	4	yes	—
274	C₂²×C₄	#10625352	1	4	yes	—
275	C₂²×C₄	C₂×C₂²⋊D₄₇	1	6	yes	—
276	C₂²×C₄	C₂×C₂²⋊D₄₇	1	12	yes	—
277	C₂²×C₄	C₂×C₂²⋊D₄₇	1	3	yes	—
278	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
279	C₂²×C₄	C₂³×D₄₇	1	3	yes	—
280	C₂×C₈	—	47	4	no	—
281	C₂×C₈	—	47	4	no	—
282	C₂×C₈	—	94	12	no	—
283	C₂×C₈	—	94	12	no	—
284	C₄⋊C₄	—	2	6	no	—
285	C₄⋊C₄	—	47	4	no	—
286	C₄⋊C₄	—	47	4	no	—
287	C₄⋊C₄	—	94	6	no	—
288	C₄⋊C₄	—	94	6	no	—
289	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
290	C₂²⋊C₄	—	2	16	no	—
291	C₂²⋊C₄	—	94	16	no	—
292	C₄²	—	94	16	no	—
293	C₂³	—	2	12	no	—
294	C₂³	—	2	12	no	—
295	C₂³	—	2	12	no	—
296	C₂³	—	2	4	no	—
297	C₂³	—	4	16	no	—
298	C₂³	—	4	12	no	—
299	C₂³	—	4	12	no	—
300	C₂³	—	4	12	no	—
301	C₂³	—	8	16	no	—
302	C₂³	#13094005	1	4	yes	—
303	C₂³	#13094044	1	4	yes	—
304	C₂³	#13094050	1	4	yes	—
305	C₂³	C₂²×C₂²⋊D₄₇	1	4	yes	—
306	C₂³	C₂²×C₂²⋊D₄₇	1	3	yes	—
307	D₄	—	2	4	no	—
308	D₄	—	2	4	no	—
309	D₄	—	4	32	no	—
310	D₄	—	4	12	no	—
311	C₂×C₄	—	2	12	no	—
312	C₂×C₄	—	2	24	no	—
313	C₂×C₄	—	2	4	no	—
314	C₂×C₄	—	2	4	no	—
315	C₂×C₄	—	2	4	no	—
316	C₂×C₄	—	4	12	no	—
317	C₂×C₄	—	94	4	no	—
318	C₂×C₄	—	94	4	no	—
319	C₂×C₄	—	188	12	no	—
320	C₂×C₄	—	188	12	no	—
321	C₂×C₄	#13094005	1	12	yes	—
322	C₂×C₄	C₂²×C₂²⋊D₄₇	1	4	yes	—
323	C₂×C₄	C₂²×C₂²⋊D₄₇	1	3	yes	—
324	C₂×C₄	C₂×#10625352	1	6	yes	—
325	C₂×C₄	C₂×#10625352	1	6	yes	—
326	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
327	C₈	—	94	4	no	—
328	C₈	—	94	4	no	—
329	C₂²	—	2	4	no	—
330	C₂²	—	2	4	no	—
331	C₂²	—	2	4	no	—
332	C₂²	—	4	24	no	—
333	C₂²	—	4	4	no	—
334	C₂²	—	4	4	no	—
335	C₂²	—	4	4	no	—
336	C₂²	—	8	24	no	—
337	C₂²	#15689444	1	16	yes	direct product factor
338	C₂²	C₂×#13094005	1	6	yes	—
339	C₂²	C₂×#13094044	1	6	yes	—
340	C₂²	C₂×#13094050	1	6	yes	—
341	C₂²	C₂³×C₂²⋊D₄₇	1	1	yes	characteristic
342	C₄	—	2	4	no	—
343	C₄	—	4	4	no	—
344	C₄	—	188	4	no	—
345	C₄	—	188	4	no	—
346	C₄	C₂×#13094005	1	6	yes	—
347	C₄	C₂²×#10625352	1	1	yes	characteristic
348	C₄	C₂²×#10625352	1	1	yes	characteristic
349	C₂	—	4	4	no	—
350	C₂	—	8	4	no	—
351	C₂	C₂×#15689444	1	12	yes	direct product factor
352	C₂	C₂²×#13094005	1	1	yes	characteristic
353	C₂	C₂²×#13094044	1	1	yes	characteristic
354	C₂	C₂²×#13094050	1	1	yes	characteristic

	subgroup	G/H
center	C₂⁴	C₂×C₂²⋊D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting, prime radical	C₂²×#121×C₄₇	C₂
socle	C₂⁴×C₄₇	C₂×D₄
hypercenter	C₂²×#121	D₄₇
hypocenter	C₄₇	C₂²×#482
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂⁴ ◁ C₂⁴×C₄ ◁ C₂²×#121

Complements

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

N	H ≅ G/N	type
1. C₂²×#13093983	C₂	semidirect
2. C₂×#15689444	C₂	direct (N × H)
3. C₂²×#13093957	C₂	semidirect
4. C₂²×#13093955	C₂	semidirect
5. C₂²×#13093945	C₂	semidirect
6. C₂²×#13093945	C₂	semidirect
7. C₂²×C₂²⋊(C₄₇⋊C₈)	C₂	semidirect
12. C₂×#13093983	C₂²	semidirect
17. #15689444	C₂²	direct (N × H)
18. C₂×#13093957	C₂²	semidirect
19. C₂×#13093955	C₂²	semidirect
20. C₂×#13093945	C₂²	semidirect
21. C₂×#13093945	C₂²	semidirect
22. C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	semidirect
37. #13093983	C₂³	semidirect
44. #13093957	C₂³	semidirect
45. #13093955	C₂³	semidirect
46. #13093945	C₂³	semidirect
47. #13093945	C₂³	semidirect
48. C₂²⋊(C₄₇⋊C₈)	C₂³	semidirect
160. C₂²×C₄₇	#482	semidirect
182. C₂×C₄₇	C₂×#482	semidirect
207. C₄₇	C₂²×#482	semidirect
337. C₂²	#15689444	direct (N × H)
351. C₂	C₂×#15689444	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#13093983	2
C₂×#15689444	2
C₂²×#13093957	2
C₂²×#13093955	2
C₂²×#13093945	2
C₂²×C₂²⋊(C₄₇⋊C₈)	2
C₂²×#121×C₄₇	2
C₂²×#482	47

Subgroups — C22×#15689444 #27084012

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#15689444 #27084012