Subgroups — C₃₁×#10311 #21467070

Order 7936.

622 conjugacy classes of subgroups.

The subgroup lattice has 382 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₁×#487	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃₁×#486	C₂	1	1	yes	maximal, characteristic
3	C₂×C₃₁×#486	C₂	1	1	yes	maximal, characteristic
4	C₃₁×#1990	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#1957	C₂	1	1	yes	maximal, characteristic
6	C₃₁×#1956	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#1273	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₃₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
9	C₂×C₃₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
10	C₂×C₃₁×#127	C₂²	1	1	yes	characteristic
11	C₃₁×#487	—	2	2	no	—
12	C₃₁×#487	—	2	2	no	—
13	C₃₁×#486	—	2	2	no	—
14	C₃₁×#486	—	2	2	no	—
15	C₃₁×#486	—	2	2	no	—
16	C₃₁×#486	—	2	2	no	—
17	C₂×C₃₁×#103	—	2	2	no	—
18	C₂×C₃₁×#103	—	2	2	no	—
19	C₂×C₃₁×#102	—	2	2	no	—
20	C₂×C₃₁×#102	—	2	2	no	—
21	C₂×C₃₁×#102	—	2	2	no	—
22	C₂×C₄×C₈×C₃₁	C₂²	1	1	yes	characteristic
23	C₂×C₄×C₈×C₃₁	C₂²	1	1	yes	characteristic
24	C₂×C₄×C₈×C₃₁	C₂²	1	1	yes	characteristic
25	C₃₁×#384	C₂²	1	1	yes	characteristic
26	C₃₁×#340	—	2	2	no	—
27	C₂²×Q₈×C₃₁	—	2	1	no	—
28	C₂²×Q₈×C₃₁	—	2	1	no	—
29	C₂²×D₄×C₃₁	—	2	1	no	—
30	C₂²×D₄×C₃₁	—	2	1	no	—
31	C₂²×D₄×C₃₁	—	2	1	no	—
32	C₂²×C₈×C₃₁	D₄	1	2	yes	—
33	C₂²×C₈×C₃₁	D₄	1	2	yes	—
34	C₂²×C₈×C₃₁	D₄	1	2	yes	—
35	C₃₁×C₄⋊Q₈	—	2	1	no	—
36	C₃₁×C₄⋊Q₈	—	2	1	no	—
37	C₃₁×C₄⋊Q₈	—	2	1	no	—
38	C₃₁×C₄⋊Q₈	—	2	1	no	—
39	C₃₁×C₄⋊Q₈	—	2	1	no	—
40	C₃₁×C₄⋊Q₈	—	2	1	no	—
41	C₃₁×C₄⋊Q₈	D₄	1	2	yes	—
42	C₃₁×C₄⋊Q₈	D₄	1	2	yes	—
43	C₃₁×#127	—	2	1	no	—
44	C₃₁×#127	—	2	1	no	—
45	C₃₁×#127	—	2	1	no	—
46	C₃₁×#127	D₄	1	2	yes	—
47	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
48	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
49	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
50	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
51	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
52	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
53	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
54	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
55	C₃₁×#103	—	2	8	no	—
56	C₃₁×#103	—	4	4	no	—
57	C₃₁×#102	—	2	8	no	—
58	C₃₁×#102	—	2	8	no	—
59	C₃₁×#102	—	4	4	no	—
60	C₄×C₈×C₃₁	—	2	1	no	—
61	C₄×C₈×C₃₁	—	2	1	no	—
62	C₄×C₈×C₃₁	—	2	1	no	—
63	C₄×C₈×C₃₁	—	2	1	no	—
64	C₄×C₈×C₃₁	—	2	1	no	—
65	C₄×C₈×C₃₁	—	2	1	no	—
66	C₂⁴×C₃₁	—	4	1	no	—
67	C₂×Q₈×C₃₁	—	2	2	no	—
68	C₂×Q₈×C₃₁	—	2	2	no	—
69	C₂×Q₈×C₃₁	—	4	1	no	—
70	C₂×Q₈×C₃₁	—	4	1	no	—
71	C₂×Q₈×C₃₁	—	4	2	no	—
72	C₂×Q₈×C₃₁	—	4	2	no	—
73	C₂×Q₈×C₃₁	—	4	2	no	—
74	C₂×Q₈×C₃₁	—	4	2	no	—
75	C₂×D₄×C₃₁	—	2	2	no	—
76	C₂×D₄×C₃₁	—	2	2	no	—
77	C₂×D₄×C₃₁	—	2	2	no	—
78	C₂×D₄×C₃₁	—	4	1	no	—
79	C₂×D₄×C₃₁	—	4	1	no	—
80	C₂×D₄×C₃₁	—	4	1	no	—
81	C₂×D₄×C₃₁	—	4	2	no	—
82	C₂×D₄×C₃₁	—	4	2	no	—
83	C₂×D₄×C₃₁	—	4	2	no	—
84	C₂×D₄×C₃₁	—	4	2	no	—
85	C₂×D₄×C₃₁	—	4	2	no	—
86	C₂×D₄×C₃₁	—	4	2	no	—
87	C₂²×C₄×C₃₁	—	4	1	no	—
88	C₂²×C₄×C₃₁	—	4	1	no	—
89	C₂²×C₄×C₃₁	—	4	1	no	—
90	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
91	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
93	C₂×C₈×C₃₁	—	2	2	no	—
94	C₂×C₈×C₃₁	—	2	2	no	—
95	C₂×C₈×C₃₁	—	2	2	no	—
96	C₂×C₈×C₃₁	—	2	2	no	—
97	C₂×C₈×C₃₁	—	2	2	no	—
98	C₂×C₈×C₃₁	—	2	2	no	—
99	C₂×C₈×C₃₁	—	2	2	no	—
100	C₂×C₈×C₃₁	—	2	2	no	—
101	C₂×C₈×C₃₁	—	2	2	no	—
102	C₄⋊C₄×C₃₁	—	2	2	no	—
103	C₄⋊C₄×C₃₁	—	2	2	no	—
104	C₄⋊C₄×C₃₁	—	2	2	no	—
105	C₄⋊C₄×C₃₁	—	2	2	no	—
106	C₄⋊C₄×C₃₁	—	4	1	no	—
107	C₄⋊C₄×C₃₁	—	4	1	no	—
108	C₄⋊C₄×C₃₁	—	4	1	no	—
109	C₄⋊C₄×C₃₁	—	4	1	no	—
110	C₄⋊C₄×C₃₁	—	4	2	no	—
111	C₄⋊C₄×C₃₁	—	4	2	no	—
112	C₄⋊C₄×C₃₁	—	4	2	no	—
113	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
114	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
115	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
116	C₄²×C₃₁	#41	1	1	yes	characteristic
117	#10311	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
118	C₂³×C₃₁	—	4	2	no	—
119	C₂³×C₃₁	—	8	1	no	—
120	C₂³×C₃₁	—	8	1	no	—
121	C₂³×C₃₁	—	8	1	no	—
122	C₂³×C₃₁	—	8	1	no	—
123	C₂³×C₃₁	—	8	1	no	—
124	C₂³×C₃₁	—	8	1	no	—
125	C₂³×C₃₁	#127	1	1	yes	characteristic
126	Q₈×C₃₁	—	4	4	no	—
127	Q₈×C₃₁	—	4	4	no	—
128	Q₈×C₃₁	—	8	2	no	—
129	Q₈×C₃₁	—	8	2	no	—
130	D₄×C₃₁	—	4	4	no	—
131	D₄×C₃₁	—	4	4	no	—
132	D₄×C₃₁	—	4	4	no	—
133	D₄×C₃₁	—	8	2	no	—
134	D₄×C₃₁	—	8	2	no	—
135	D₄×C₃₁	—	8	2	no	—
136	C₂×C₄×C₃₁	—	4	2	no	—
137	C₂×C₄×C₃₁	—	4	2	no	—
138	C₂×C₄×C₃₁	—	8	1	no	—
139	C₂×C₄×C₃₁	—	8	1	no	—
140	C₂×C₄×C₃₁	—	8	1	no	—
141	C₂×C₄×C₃₁	—	8	1	no	—
142	C₂×C₄×C₃₁	—	8	1	no	—
143	C₂×C₄×C₃₁	—	8	1	no	—
144	C₂×C₄×C₃₁	—	8	1	no	—
145	C₂×C₄×C₃₁	#120	1	1	yes	characteristic
146	C₂×C₄×C₃₁	#120	1	1	yes	characteristic
147	C₂×C₄×C₃₁	#120	1	1	yes	characteristic
148	C₂×C₄×C₃₁	#121	1	1	yes	characteristic
149	C₂×C₄×C₃₁	#121	1	1	yes	characteristic
150	C₂×C₄×C₃₁	#121	1	1	yes	characteristic
151	C₂×C₄×C₃₁	#135	1	2	yes	—
152	C₂×C₄×C₃₁	#135	1	2	yes	—
153	C₂×C₄×C₃₁	#135	1	2	yes	—
154	C₂×C₄×C₃₁	AGL(1,ℤ/8)	1	2	yes	—
155	C₂×C₄×C₃₁	AGL(1,ℤ/8)	1	2	yes	—
156	C₂×C₄×C₃₁	#137	1	2	yes	—
157	C₈×C₃₁	—	4	2	no	—
158	C₈×C₃₁	—	4	2	no	—
159	C₈×C₃₁	—	4	2	no	—
160	C₂×#487	C₂×C₃₁	1	1	yes	characteristic, complemented
161	C₂×#486	C₂×C₃₁	1	1	yes	characteristic
162	C₂×#486	C₂×C₃₁	1	1	yes	characteristic
163	#1990	C₂×C₃₁	1	1	yes	characteristic, complemented
164	#1957	C₂×C₃₁	1	1	yes	characteristic
165	#1956	C₂×C₃₁	1	1	yes	characteristic, complemented
166	#1273	C₂×C₃₁	1	1	yes	characteristic, complemented
167	C₂²×C₃₁	—	8	2	no	—
168	C₂²×C₃₁	—	8	2	no	—
169	C₂²×C₃₁	—	8	2	no	—
170	C₂²×C₃₁	—	16	1	no	—
171	C₂²×C₃₁	—	16	1	no	—
172	C₂²×C₃₁	—	16	1	no	—
173	C₂²×C₃₁	—	16	1	no	—
174	C₂²×C₃₁	#392	1	1	yes	characteristic
175	C₂²×C₃₁	#495	1	1	yes	characteristic
176	C₂²×C₃₁	#495	1	1	yes	characteristic
177	C₂²×C₃₁	#495	1	1	yes	characteristic
178	C₂²×C₃₁	#496	1	1	yes	characteristic
179	C₂²×C₃₁	#496	1	1	yes	characteristic
180	C₂²×C₃₁	#497	1	1	yes	characteristic
181	C₄×C₃₁	—	8	2	no	—
182	C₄×C₃₁	—	8	2	no	—
183	C₄×C₃₁	—	16	1	no	—
184	C₄×C₃₁	#449	1	2	yes	—
185	C₄×C₃₁	#449	1	2	yes	—
186	C₄×C₃₁	#452	1	2	yes	—
187	C₄×C₃₁	#463	1	2	yes	—
188	C₄×C₃₁	#463	1	2	yes	—
189	C₄×C₃₁	#464	1	2	yes	—
190	C₂×C₄⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
191	C₂×C₄⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
192	C₂×#127	C₂²×C₃₁	1	1	yes	characteristic
193	#487	—	2	2	no	—
194	#487	—	2	2	no	—
195	#486	—	2	2	no	—
196	#486	—	2	2	no	—
197	#486	—	2	2	no	—
198	#486	—	2	2	no	—
199	C₂×#103	—	2	2	no	—
200	C₂×#103	—	2	2	no	—
201	C₂×#102	—	2	2	no	—
202	C₂×#102	—	2	2	no	—
203	C₂×#102	—	2	2	no	—
204	C₂×C₄×C₈	C₂²×C₃₁	1	1	yes	characteristic
205	C₂×C₄×C₈	C₂²×C₃₁	1	1	yes	characteristic
206	C₂×C₄×C₈	C₂²×C₃₁	1	1	yes	characteristic
207	#384	C₂²×C₃₁	1	1	yes	characteristic
208	#340	—	2	2	no	—
209	C₂×C₃₁	—	16	2	no	—
210	C₂×C₃₁	#1711	1	1	yes	characteristic
211	C₂×C₃₁	#1717	1	1	yes	characteristic
212	C₂×C₃₁	#1719	1	1	yes	characteristic
213	C₂×C₃₁	#1720	1	1	yes	characteristic
214	C₂×C₃₁	#2012	1	1	yes	characteristic
215	C₂×C₃₁	#2012	1	1	yes	characteristic
216	C₂×C₃₁	#2015	1	1	yes	characteristic
217	C₂²×Q₈	—	2	1	no	—
218	C₂²×Q₈	—	2	1	no	—
219	C₂²×D₄	—	2	1	no	—
220	C₂²×D₄	—	2	1	no	—
221	C₂²×D₄	—	2	1	no	—
222	C₂²×C₈	D₄×C₃₁	1	2	yes	—
223	C₂²×C₈	D₄×C₃₁	1	2	yes	—
224	C₂²×C₈	D₄×C₃₁	1	2	yes	—
225	C₄⋊Q₈	—	2	1	no	—
226	C₄⋊Q₈	—	2	1	no	—
227	C₄⋊Q₈	—	2	1	no	—
228	C₄⋊Q₈	—	2	1	no	—
229	C₄⋊Q₈	—	2	1	no	—
230	C₄⋊Q₈	—	2	1	no	—
231	C₄⋊Q₈	D₄×C₃₁	1	2	yes	—
232	C₄⋊Q₈	D₄×C₃₁	1	2	yes	—
233	#127	—	2	1	no	—
234	#127	—	2	1	no	—
235	#127	—	2	1	no	—
236	#127	D₄×C₃₁	1	2	yes	—
237	C₂×C₄⋊C₄	—	2	1	no	—
238	C₂×C₄⋊C₄	—	2	1	no	—
239	C₂×C₄⋊C₄	—	2	1	no	—
240	C₂×C₄⋊C₄	—	2	1	no	—
241	C₂×C₄⋊C₄	—	2	1	no	—
242	C₂×C₄⋊C₄	—	2	1	no	—
243	C₂×C₄⋊C₄	—	2	1	no	—
244	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
245	#103	—	2	8	no	—
246	#103	—	4	4	no	—
247	#102	—	2	8	no	—
248	#102	—	2	8	no	—
249	#102	—	4	4	no	—
250	C₄×C₈	—	2	1	no	—
251	C₄×C₈	—	2	1	no	—
252	C₄×C₈	—	2	1	no	—
253	C₄×C₈	—	2	1	no	—
254	C₄×C₈	—	2	1	no	—
255	C₄×C₈	—	2	1	no	—
256	C₃₁	#10311	1	1	yes	characteristic, direct product factor, Sylow
257	C₂⁴	—	4	1	no	—
258	C₂×Q₈	—	2	2	no	—
259	C₂×Q₈	—	2	2	no	—
260	C₂×Q₈	—	4	1	no	—
261	C₂×Q₈	—	4	1	no	—
262	C₂×Q₈	—	4	2	no	—
263	C₂×Q₈	—	4	2	no	—
264	C₂×Q₈	—	4	2	no	—
265	C₂×Q₈	—	4	2	no	—
266	C₂×D₄	—	2	2	no	—
267	C₂×D₄	—	2	2	no	—
268	C₂×D₄	—	2	2	no	—
269	C₂×D₄	—	4	1	no	—
270	C₂×D₄	—	4	1	no	—
271	C₂×D₄	—	4	1	no	—
272	C₂×D₄	—	4	2	no	—
273	C₂×D₄	—	4	2	no	—
274	C₂×D₄	—	4	2	no	—
275	C₂×D₄	—	4	2	no	—
276	C₂×D₄	—	4	2	no	—
277	C₂×D₄	—	4	2	no	—
278	C₂²×C₄	—	4	1	no	—
279	C₂²×C₄	—	4	1	no	—
280	C₂²×C₄	—	4	1	no	—
281	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
282	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
283	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
284	C₂×C₈	—	2	2	no	—
285	C₂×C₈	—	2	2	no	—
286	C₂×C₈	—	2	2	no	—
287	C₂×C₈	—	2	2	no	—
288	C₂×C₈	—	2	2	no	—
289	C₂×C₈	—	2	2	no	—
290	C₂×C₈	—	2	2	no	—
291	C₂×C₈	—	2	2	no	—
292	C₂×C₈	—	2	2	no	—
293	C₄⋊C₄	—	2	2	no	—
294	C₄⋊C₄	—	2	2	no	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	—	2	2	no	—
297	C₄⋊C₄	—	4	1	no	—
298	C₄⋊C₄	—	4	1	no	—
299	C₄⋊C₄	—	4	1	no	—
300	C₄⋊C₄	—	4	1	no	—
301	C₄⋊C₄	—	4	2	no	—
302	C₄⋊C₄	—	4	2	no	—
303	C₄⋊C₄	—	4	2	no	—
304	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
305	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
306	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
307	C₄²	#41×C₃₁	1	1	yes	characteristic
308	C₂³	—	4	2	no	—
309	C₂³	—	8	1	no	—
310	C₂³	—	8	1	no	—
311	C₂³	—	8	1	no	—
312	C₂³	—	8	1	no	—
313	C₂³	—	8	1	no	—
314	C₂³	—	8	1	no	—
315	C₂³	C₃₁×#127	1	1	yes	characteristic
316	Q₈	—	4	4	no	—
317	Q₈	—	4	4	no	—
318	Q₈	—	8	2	no	—
319	Q₈	—	8	2	no	—
320	D₄	—	4	4	no	—
321	D₄	—	4	4	no	—
322	D₄	—	4	4	no	—
323	D₄	—	8	2	no	—
324	D₄	—	8	2	no	—
325	D₄	—	8	2	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	—	8	1	no	—
329	C₂×C₄	—	8	1	no	—
330	C₂×C₄	—	8	1	no	—
331	C₂×C₄	—	8	1	no	—
332	C₂×C₄	—	8	1	no	—
333	C₂×C₄	—	8	1	no	—
334	C₂×C₄	—	8	1	no	—
335	C₂×C₄	C₃₁×#120	1	1	yes	characteristic
336	C₂×C₄	C₃₁×#120	1	1	yes	characteristic
337	C₂×C₄	C₃₁×#120	1	1	yes	characteristic
338	C₂×C₄	C₃₁×#121	1	1	yes	characteristic
339	C₂×C₄	C₃₁×#121	1	1	yes	characteristic
340	C₂×C₄	C₃₁×#121	1	1	yes	characteristic
341	C₂×C₄	C₃₁×#135	1	2	yes	—
342	C₂×C₄	C₃₁×#135	1	2	yes	—
343	C₂×C₄	C₃₁×#135	1	2	yes	—
344	C₂×C₄	C₃₁×AGL(1,ℤ/8)	1	2	yes	—
345	C₂×C₄	C₃₁×AGL(1,ℤ/8)	1	2	yes	—
346	C₂×C₄	C₃₁×#137	1	2	yes	—
347	C₈	—	4	2	no	—
348	C₈	—	4	2	no	—
349	C₈	—	4	2	no	—
350	C₂²	—	8	2	no	—
351	C₂²	—	8	2	no	—
352	C₂²	—	8	2	no	—
353	C₂²	—	16	1	no	—
354	C₂²	—	16	1	no	—
355	C₂²	—	16	1	no	—
356	C₂²	—	16	1	no	—
357	C₂²	C₃₁×#392	1	1	yes	characteristic
358	C₂²	C₃₁×#495	1	1	yes	characteristic
359	C₂²	C₃₁×#495	1	1	yes	characteristic
360	C₂²	C₃₁×#495	1	1	yes	characteristic
361	C₂²	C₃₁×#496	1	1	yes	characteristic
362	C₂²	C₃₁×#496	1	1	yes	characteristic
363	C₂²	C₃₁×#497	1	1	yes	characteristic
364	C₄	—	8	2	no	—
365	C₄	—	8	2	no	—
366	C₄	—	16	1	no	—
367	C₄	C₃₁×#449	1	2	yes	—
368	C₄	C₃₁×#449	1	2	yes	—
369	C₄	C₃₁×#452	1	2	yes	—
370	C₄	C₃₁×#463	1	2	yes	—
371	C₄	C₃₁×#463	1	2	yes	—
372	C₄	C₃₁×#464	1	2	yes	—
373	C₂	—	16	2	no	—
374	C₂	C₃₁×#1711	1	1	yes	characteristic
375	C₂	C₃₁×#1717	1	1	yes	characteristic
376	C₂	C₃₁×#1719	1	1	yes	characteristic
377	C₂	C₃₁×#1720	1	1	yes	characteristic
378	C₂	C₃₁×#2012	1	1	yes	characteristic
379	C₂	C₃₁×#2012	1	1	yes	characteristic
380	C₂	C₃₁×#2015	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃₁	#127
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₃₁
prime radical	C₂×C₃₁×#127	C₂²
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₃₁ ◁ C₂×C₄²×C₃₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃₁×#487	C₂	semidirect
4. C₃₁×#1990	C₂	semidirect
6. C₃₁×#1956	C₂	semidirect
7. C₃₁×#1273	C₂	semidirect
117. #10311	C₃₁	direct (N × H)
160. C₂×#487	C₂×C₃₁	semidirect
163. #1990	C₂×C₃₁	semidirect
165. #1956	C₂×C₃₁	semidirect
166. #1273	C₂×C₃₁	semidirect
256. C₃₁	#10311	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×C₃₁×#487	2
C₂×C₃₁×#486	2
C₃₁×#1990	2
C₃₁×#1957	2
C₃₁×#1956	2
C₃₁×#1273	2
#10311	31

Subgroups — C31×#10311 #21467070

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#10311 #21467070