Subgroups — C₃₁×#25609 #21482368

Order 7936.

1052 conjugacy classes of subgroups.

The subgroup lattice has 366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₁×#541	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃₁×#494	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃₁×#491	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#2621	C₂	1	1	yes	maximal, characteristic
5	C₃₁×#2001	C₂	1	4	yes	maximal
6	C₃₁×#1991	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#1960	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#1878	C₂	1	4	yes	maximal, complemented
9	C₃₁×#1750	C₂	1	1	yes	maximal, characteristic
10	C₂²×Q₁₆×C₃₁	C₂²	1	4	yes	—
11	C₃₁×#541	—	2	4	no	—
12	C₃₁×#541	—	2	4	no	—
13	C₂×C₃₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
14	C₂×C₃₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
15	C₂×C₃₁×#126	—	2	2	no	—
16	C₂×C₃₁×#125	—	2	2	no	—
17	C₂×C₃₁×#125	C₂²	1	1	yes	characteristic
18	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	2	yes	—
19	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	2	yes	—
20	C₂×C₄×Q₈×C₃₁	C₂²	1	2	yes	—
21	C₂×C₃₁×#117	C₂²	1	1	yes	characteristic
22	C₃₁×#494	—	2	4	no	—
23	C₃₁×#491	—	2	4	no	—
24	C₂×C₃₁×#103	C₂²	1	4	yes	—
25	C₂×C₃₁×#103	C₂²	1	4	yes	—
26	C₂×C₃₁×C₂²⋊C₈	C₂²	1	2	yes	—
27	C₂×C₃₁×#97	C₂²	1	1	yes	characteristic
28	C₂×C₄×C₈×C₃₁	C₂²	1	1	yes	characteristic
29	C₃₁×#398	—	2	2	no	—
30	C₃₁×#397	—	2	2	no	—
31	C₃₁×#391	C₂²	1	2	yes	—
32	C₃₁×#382	C₂²	1	1	yes	characteristic
33	C₃₁×#340	C₂²	1	4	yes	—
34	C₃₁×#336	C₂²	1	2	yes	—
35	C₂²×Q₈×C₃₁	C₂³	1	2	yes	—
36	C₂²×Q₈×C₃₁	C₂³	1	2	yes	—
37	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
38	C₂×Q₁₆×C₃₁	—	2	8	no	—
39	C₂×Q₁₆×C₃₁	—	2	8	no	—
40	C₂×Q₁₆×C₃₁	—	4	4	no	—
41	C₂²×C₈×C₃₁	C₂³	1	2	yes	—
42	C₂²×C₈×C₃₁	C₂³	1	2	yes	—
43	C₃₁×C₄⋊Q₈	—	2	2	no	—
44	C₃₁×C₄⋊Q₈	—	2	2	no	—
45	C₃₁×C₄⋊Q₈	—	2	2	no	—
46	C₃₁×C₄⋊Q₈	D₄	1	4	yes	—
47	C₃₁×#126	—	2	16	no	—
48	C₃₁×#125	—	2	16	no	—
49	C₃₁×#125	—	2	2	no	—
50	C₃₁×#125	D₄	1	4	yes	—
51	C₃₁×C₂²⋊Q₈	—	2	4	no	—
52	C₃₁×C₂²⋊Q₈	—	2	4	no	—
53	C₃₁×C₂²⋊Q₈	—	4	4	no	—
54	C₄×Q₈×C₃₁	—	2	4	no	—
55	C₄×Q₈×C₃₁	—	2	4	no	—
56	C₃₁×#117	—	2	2	no	—
57	C₃₁×#117	—	2	2	no	—
58	C₂×C₄⋊C₄×C₃₁	—	2	2	no	—
59	C₂×C₄⋊C₄×C₃₁	—	2	2	no	—
60	C₂×C₄⋊C₄×C₃₁	—	2	2	no	—
61	C₂×C₄⋊C₄×C₃₁	—	2	2	no	—
62	C₂×C₄⋊C₄×C₃₁	—	2	2	no	—
63	C₂×C₄⋊C₄×C₃₁	—	2	2	no	—
64	C₂×C₄⋊C₄×C₃₁	D₄	1	2	yes	—
65	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
66	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
67	C₂×C₂²⋊C₄×C₃₁	—	2	2	no	—
68	C₂×C₂²⋊C₄×C₃₁	—	2	2	no	—
69	C₂×C₂²⋊C₄×C₃₁	D₄	1	2	yes	—
70	C₂×C₄²×C₃₁	—	2	2	no	—
71	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
72	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
73	C₃₁×#103	—	2	8	no	—
74	C₃₁×#103	—	4	4	no	—
75	C₃₁×C₂²⋊C₈	—	2	4	no	—
76	C₃₁×#97	—	2	2	no	—
77	C₄×C₈×C₃₁	—	2	2	no	—
78	C₃₁×#95	—	2	2	no	—
79	C₃₁×#95	—	2	4	no	—
80	C₂⁴×C₃₁	C₂×D₄	1	1	yes	characteristic
81	C₂×Q₈×C₃₁	—	2	2	no	—
82	C₂×Q₈×C₃₁	—	2	2	no	—
83	C₂×Q₈×C₃₁	—	2	2	no	—
84	C₂×Q₈×C₃₁	—	2	4	no	—
85	C₂×Q₈×C₃₁	—	2	4	no	—
86	C₂×Q₈×C₃₁	—	2	4	no	—
87	C₂×Q₈×C₃₁	—	2	4	no	—
88	C₂×Q₈×C₃₁	C₂×D₄	1	4	yes	—
89	C₂²×C₄×C₃₁	—	2	2	no	—
90	C₂²×C₄×C₃₁	—	2	2	no	—
91	C₂²×C₄×C₃₁	—	2	1	no	—
92	C₂²×C₄×C₃₁	—	2	1	no	—
93	C₂²×C₄×C₃₁	—	2	2	no	—
94	C₂²×C₄×C₃₁	—	2	2	no	—
95	C₂²×C₄×C₃₁	—	2	2	no	—
96	C₂²×C₄×C₃₁	—	2	2	no	—
97	C₂²×C₄×C₃₁	C₂×D₄	1	2	yes	—
98	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
99	C₂²×C₄×C₃₁	C₂×D₄	1	2	yes	—
100	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
101	Q₁₆×C₃₁	—	4	16	no	—
102	C₂×C₈×C₃₁	—	2	2	no	—
103	C₂×C₈×C₃₁	—	2	2	no	—
104	C₂×C₈×C₃₁	—	2	2	no	—
105	C₂×C₈×C₃₁	—	2	2	no	—
106	C₂×C₈×C₃₁	—	2	2	no	—
107	C₂×C₈×C₃₁	#41	1	4	yes	—
108	C₄⋊C₄×C₃₁	—	2	8	no	—
109	C₄⋊C₄×C₃₁	—	2	8	no	—
110	C₄⋊C₄×C₃₁	—	2	8	no	—
111	C₄⋊C₄×C₃₁	—	2	8	no	—
112	C₄⋊C₄×C₃₁	—	2	4	no	—
113	C₄⋊C₄×C₃₁	—	2	2	no	—
114	C₄⋊C₄×C₃₁	—	2	4	no	—
115	C₄⋊C₄×C₃₁	—	4	4	no	—
116	C₄⋊C₄×C₃₁	—	4	4	no	—
117	C₄⋊C₄×C₃₁	C₂×D₄	1	4	yes	—
118	C₂²⋊C₄×C₃₁	—	2	8	no	—
119	C₂²⋊C₄×C₃₁	—	2	4	no	—
120	C₂²⋊C₄×C₃₁	—	4	4	no	—
121	C₄²×C₃₁	—	2	8	no	—
122	C₄²×C₃₁	—	2	1	no	—
123	C₄²×C₃₁	—	2	1	no	—
124	C₄²×C₃₁	C₂×D₄	1	2	yes	—
125	C₄²×C₃₁	C₂×D₄	1	2	yes	—
126	#25609	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
127	C₂³×C₃₁	—	2	1	no	—
128	C₂³×C₃₁	—	2	1	no	—
129	C₂³×C₃₁	—	2	1	no	—
130	C₂³×C₃₁	—	2	4	no	—
131	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
132	Q₈×C₃₁	—	2	8	no	—
133	Q₈×C₃₁	—	4	4	no	—
134	Q₈×C₃₁	—	4	4	no	—
135	Q₈×C₃₁	—	4	4	no	—
136	C₂×C₄×C₃₁	—	2	4	no	—
137	C₂×C₄×C₃₁	—	2	2	no	—
138	C₂×C₄×C₃₁	—	2	4	no	—
139	C₂×C₄×C₃₁	—	2	4	no	—
140	C₂×C₄×C₃₁	—	2	1	no	—
141	C₂×C₄×C₃₁	—	2	1	no	—
142	C₂×C₄×C₃₁	—	2	1	no	—
143	C₂×C₄×C₃₁	—	2	4	no	—
144	C₂×C₄×C₃₁	—	4	2	no	—
145	C₂×C₄×C₃₁	—	4	2	no	—
146	C₂×C₄×C₃₁	—	4	4	no	—
147	C₂×C₄×C₃₁	—	4	2	no	—
148	C₂×C₄×C₃₁	—	4	2	no	—
149	C₂×C₄×C₃₁	—	4	2	no	—
150	C₂×C₄×C₃₁	—	4	2	no	—
151	C₂×C₄×C₃₁	—	4	2	no	—
152	C₂×C₄×C₃₁	—	4	2	no	—
153	C₂×C₄×C₃₁	—	4	4	no	—
154	C₂×C₄×C₃₁	#120	1	4	yes	—
155	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
156	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
157	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
158	C₂×C₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
159	C₈×C₃₁	—	2	4	no	—
160	C₈×C₃₁	—	4	2	no	—
161	C₂×#541	C₂×C₃₁	1	1	yes	characteristic
162	C₂×#494	C₂×C₃₁	1	1	yes	characteristic, complemented
163	C₂×#491	C₂×C₃₁	1	1	yes	characteristic, complemented
164	#2621	C₂×C₃₁	1	1	yes	characteristic
165	#2001	C₂×C₃₁	1	4	yes	—
166	#1991	C₂×C₃₁	1	1	yes	characteristic, complemented
167	#1960	C₂×C₃₁	1	1	yes	characteristic, complemented
168	#1878	C₂×C₃₁	1	4	yes	complemented
169	#1750	C₂×C₃₁	1	1	yes	characteristic
170	C₂²×C₃₁	—	4	2	no	—
171	C₂²×C₃₁	—	4	1	no	—
172	C₂²×C₃₁	—	4	2	no	—
173	C₂²×C₃₁	—	4	2	no	—
174	C₂²×C₃₁	C₂×#120	1	1	yes	characteristic
175	C₂²×C₃₁	#532	1	1	yes	characteristic
176	C₂²×C₃₁	#535	1	1	yes	characteristic
177	C₂²×C₃₁	#578	1	4	yes	—
178	C₄×C₃₁	—	2	4	no	—
179	C₄×C₃₁	—	4	1	no	—
180	C₄×C₃₁	—	4	4	no	—
181	C₄×C₃₁	—	4	2	no	—
182	C₄×C₃₁	—	4	4	no	—
183	C₄×C₃₁	—	8	2	no	—
184	C₄×C₃₁	—	8	2	no	—
185	C₄×C₃₁	#546	1	2	yes	—
186	C₄×C₃₁	#550	1	2	yes	—
187	C₂²×Q₁₆	C₂²×C₃₁	1	4	yes	—
188	#541	—	2	4	no	—
189	#541	—	2	4	no	—
190	C₂×C₄⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
191	C₂×C₄⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
192	C₂×#126	—	2	2	no	—
193	C₂×#125	—	2	2	no	—
194	C₂×#125	C₂²×C₃₁	1	1	yes	characteristic
195	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	2	yes	—
196	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	2	yes	—
197	C₂×C₄×Q₈	C₂²×C₃₁	1	2	yes	—
198	C₂×#117	C₂²×C₃₁	1	1	yes	characteristic
199	#494	—	2	4	no	—
200	#491	—	2	4	no	—
201	C₂×#103	C₂²×C₃₁	1	4	yes	—
202	C₂×#103	C₂²×C₃₁	1	4	yes	—
203	C₂×C₂²⋊C₈	C₂²×C₃₁	1	2	yes	—
204	C₂×#97	C₂²×C₃₁	1	1	yes	characteristic
205	C₂×C₄×C₈	C₂²×C₃₁	1	1	yes	characteristic
206	#398	—	2	2	no	—
207	#397	—	2	2	no	—
208	#391	C₂²×C₃₁	1	2	yes	—
209	#382	C₂²×C₃₁	1	1	yes	characteristic
210	#340	C₂²×C₃₁	1	4	yes	—
211	#336	C₂²×C₃₁	1	2	yes	—
212	C₂×C₃₁	—	8	1	no	—
213	C₂×C₃₁	#2431	1	1	yes	characteristic
214	C₂×C₃₁	#3011	1	2	yes	—
215	C₂×C₃₁	#3177	1	2	yes	—
216	C₂×C₃₁	#3223	1	2	yes	—
217	C₂²×Q₈	C₂³×C₃₁	1	2	yes	—
218	C₂²×Q₈	C₂³×C₃₁	1	2	yes	—
219	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
220	C₂×Q₁₆	—	2	8	no	—
221	C₂×Q₁₆	—	2	8	no	—
222	C₂×Q₁₆	—	4	4	no	—
223	C₂²×C₈	C₂³×C₃₁	1	2	yes	—
224	C₂²×C₈	C₂³×C₃₁	1	2	yes	—
225	C₄⋊Q₈	—	2	2	no	—
226	C₄⋊Q₈	—	2	2	no	—
227	C₄⋊Q₈	—	2	2	no	—
228	C₄⋊Q₈	D₄×C₃₁	1	4	yes	—
229	#126	—	2	16	no	—
230	#125	—	2	16	no	—
231	#125	—	2	2	no	—
232	#125	D₄×C₃₁	1	4	yes	—
233	C₂²⋊Q₈	—	2	4	no	—
234	C₂²⋊Q₈	—	2	4	no	—
235	C₂²⋊Q₈	—	4	4	no	—
236	C₄×Q₈	—	2	4	no	—
237	C₄×Q₈	—	2	4	no	—
238	#117	—	2	2	no	—
239	#117	—	2	2	no	—
240	C₂×C₄⋊C₄	—	2	2	no	—
241	C₂×C₄⋊C₄	—	2	2	no	—
242	C₂×C₄⋊C₄	—	2	2	no	—
243	C₂×C₄⋊C₄	—	2	2	no	—
244	C₂×C₄⋊C₄	—	2	2	no	—
245	C₂×C₄⋊C₄	—	2	2	no	—
246	C₂×C₄⋊C₄	D₄×C₃₁	1	2	yes	—
247	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
248	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
249	C₂×C₂²⋊C₄	—	2	2	no	—
250	C₂×C₂²⋊C₄	—	2	2	no	—
251	C₂×C₂²⋊C₄	D₄×C₃₁	1	2	yes	—
252	C₂×C₄²	—	2	2	no	—
253	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
254	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
255	#103	—	2	8	no	—
256	#103	—	4	4	no	—
257	C₂²⋊C₈	—	2	4	no	—
258	#97	—	2	2	no	—
259	C₄×C₈	—	2	2	no	—
260	#95	—	2	2	no	—
261	#95	—	2	4	no	—
262	C₃₁	#25609	1	1	yes	characteristic, direct product factor, Sylow
263	C₂⁴	C₂×D₄×C₃₁	1	1	yes	characteristic
264	C₂×Q₈	—	2	2	no	—
265	C₂×Q₈	—	2	2	no	—
266	C₂×Q₈	—	2	2	no	—
267	C₂×Q₈	—	2	4	no	—
268	C₂×Q₈	—	2	4	no	—
269	C₂×Q₈	—	2	4	no	—
270	C₂×Q₈	—	2	4	no	—
271	C₂×Q₈	C₂×D₄×C₃₁	1	4	yes	—
272	C₂²×C₄	—	2	2	no	—
273	C₂²×C₄	—	2	2	no	—
274	C₂²×C₄	—	2	1	no	—
275	C₂²×C₄	—	2	1	no	—
276	C₂²×C₄	—	2	2	no	—
277	C₂²×C₄	—	2	2	no	—
278	C₂²×C₄	—	2	2	no	—
279	C₂²×C₄	—	2	2	no	—
280	C₂²×C₄	C₂×D₄×C₃₁	1	2	yes	—
281	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
282	C₂²×C₄	C₂×D₄×C₃₁	1	2	yes	—
283	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
284	Q₁₆	—	4	16	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	#41×C₃₁	1	4	yes	—
291	C₄⋊C₄	—	2	8	no	—
292	C₄⋊C₄	—	2	8	no	—
293	C₄⋊C₄	—	2	8	no	—
294	C₄⋊C₄	—	2	8	no	—
295	C₄⋊C₄	—	2	4	no	—
296	C₄⋊C₄	—	2	2	no	—
297	C₄⋊C₄	—	2	4	no	—
298	C₄⋊C₄	—	4	4	no	—
299	C₄⋊C₄	—	4	4	no	—
300	C₄⋊C₄	C₂×D₄×C₃₁	1	4	yes	—
301	C₂²⋊C₄	—	2	8	no	—
302	C₂²⋊C₄	—	2	4	no	—
303	C₂²⋊C₄	—	4	4	no	—
304	C₄²	—	2	8	no	—
305	C₄²	—	2	1	no	—
306	C₄²	—	2	1	no	—
307	C₄²	C₂×D₄×C₃₁	1	2	yes	—
308	C₄²	C₂×D₄×C₃₁	1	2	yes	—
309	C₂³	—	2	1	no	—
310	C₂³	—	2	1	no	—
311	C₂³	—	2	1	no	—
312	C₂³	—	2	4	no	—
313	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
314	Q₈	—	2	8	no	—
315	Q₈	—	4	4	no	—
316	Q₈	—	4	4	no	—
317	Q₈	—	4	4	no	—
318	C₂×C₄	—	2	4	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	—	2	4	no	—
321	C₂×C₄	—	2	4	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	4	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	—	4	4	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	4	2	no	—
333	C₂×C₄	—	4	2	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	—	4	4	no	—
336	C₂×C₄	C₃₁×#120	1	4	yes	—
337	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
338	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
339	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
340	C₂×C₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
341	C₈	—	2	4	no	—
342	C₈	—	4	2	no	—
343	C₂²	—	4	2	no	—
344	C₂²	—	4	1	no	—
345	C₂²	—	4	2	no	—
346	C₂²	—	4	2	no	—
347	C₂²	C₂×C₃₁×#120	1	1	yes	characteristic
348	C₂²	C₃₁×#532	1	1	yes	characteristic
349	C₂²	C₃₁×#535	1	1	yes	characteristic
350	C₂²	C₃₁×#578	1	4	yes	—
351	C₄	—	2	4	no	—
352	C₄	—	4	1	no	—
353	C₄	—	4	4	no	—
354	C₄	—	4	2	no	—
355	C₄	—	4	4	no	—
356	C₄	—	8	2	no	—
357	C₄	—	8	2	no	—
358	C₄	C₃₁×#546	1	2	yes	—
359	C₄	C₃₁×#550	1	2	yes	—
360	C₂	—	8	1	no	—
361	C₂	C₃₁×#2431	1	1	yes	characteristic
362	C₂	C₃₁×#3011	1	2	yes	—
363	C₂	C₃₁×#3177	1	2	yes	—
364	C₂	C₃₁×#3223	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₃₁	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₃₁
prime radical	C₂⁴×C₃₁	C₂×D₄
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₃₁ ◁ C₂×C₃₁×#117 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₃₁×#494	C₂	semidirect
3. C₂×C₃₁×#491	C₂	semidirect
6. C₃₁×#1991	C₂	semidirect
7. C₃₁×#1960	C₂	semidirect
8. C₃₁×#1878	C₂	semidirect
126. #25609	C₃₁	direct (N × H)
162. C₂×#494	C₂×C₃₁	semidirect
163. C₂×#491	C₂×C₃₁	semidirect
166. #1991	C₂×C₃₁	semidirect
167. #1960	C₂×C₃₁	semidirect
168. #1878	C₂×C₃₁	semidirect
262. C₃₁	#25609	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×#541	2
C₂×C₃₁×#494	2
C₂×C₃₁×#491	2
C₃₁×#2621	2
C₃₁×#2001	2
C₃₁×#1991	2
C₃₁×#1960	2
C₃₁×#1878	2
C₃₁×#1750	2
#25609	31

Subgroups — C31×#25609 #21482368

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#25609 #21482368