Subgroups — C₃₁×#33180 #21489939

Order 7936.

1026 conjugacy classes of subgroups.

The subgroup lattice has 358 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₁×#494	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃₁×#470	C₂	1	2	yes	maximal
3	C₂×C₃₁×#467	C₂	1	2	yes	maximal
4	C₂×C₃₁×#405	C₂	1	1	yes	maximal, characteristic
5	C₃₁×#2621	C₂	1	2	yes	maximal
6	C₃₁×#1971	C₂	1	2	yes	maximal, complemented
7	C₃₁×#1969	C₂	1	2	yes	maximal, complemented
8	C₃₁×#1960	C₂	1	2	yes	maximal, complemented
9	C₃₁×#1846	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×Q₁₆×C₃₁	C₂²	1	2	yes	—
11	C₂²×Q₁₆×C₃₁	C₂²	1	2	yes	—
12	C₂²×M₁₆×C₃₁	C₂²	1	1	yes	characteristic
13	C₂³×C₈×C₃₁	C₂²	1	1	yes	characteristic
14	C₂×C₃₁×C₄⋊Q₈	C₂²	1	2	yes	—
15	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	4	yes	—
16	C₂×C₃₁×#117	C₂²	1	1	yes	characteristic
17	C₃₁×#494	—	2	4	no	—
18	C₃₁×#470	—	2	8	no	—
19	C₃₁×#467	—	2	8	no	—
20	C₂×C₃₁×#107	C₂²	1	2	yes	—
21	C₂×C₃₁×#106	C₂²	1	2	yes	—
22	C₂×C₃₁×#103	C₂²	1	4	yes	—
23	C₂×C₃₁×#103	C₂²	1	4	yes	—
24	C₃₁×#405	—	2	4	no	—
25	C₂×C₃₁×#97	C₂²	1	1	yes	characteristic
26	C₂×C₃₁×#97	C₂²	1	1	yes	characteristic
27	C₂×C₄×C₈×C₃₁	C₂²	1	1	yes	characteristic
28	C₂×C₄×C₈×C₃₁	C₂²	1	1	yes	characteristic
29	C₃₁×#398	—	2	4	no	—
30	C₃₁×#397	—	2	4	no	—
31	C₃₁×#391	C₂²	1	4	yes	—
32	C₃₁×#382	C₂²	1	2	yes	—
33	C₂²×Q₈×C₃₁	C₂³	1	4	yes	—
34	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
35	C₂×Q₁₆×C₃₁	—	2	4	no	—
36	C₂×Q₁₆×C₃₁	—	2	4	no	—
37	C₂×Q₁₆×C₃₁	—	2	4	no	—
38	C₂×Q₁₆×C₃₁	—	2	4	no	—
39	C₂×Q₁₆×C₃₁	—	2	4	no	—
40	C₂×Q₁₆×C₃₁	—	2	4	no	—
41	C₂×M₁₆×C₃₁	—	2	2	no	—
42	C₂×M₁₆×C₃₁	—	2	2	no	—
43	C₂×M₁₆×C₃₁	D₄	1	4	yes	—
44	C₂²×C₈×C₃₁	—	2	2	no	—
45	C₂²×C₈×C₃₁	—	2	2	no	—
46	C₂²×C₈×C₃₁	D₄	1	4	yes	—
47	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
48	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
49	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
50	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
51	C₃₁×C₄⋊Q₈	—	2	4	no	—
52	C₃₁×C₄⋊Q₈	—	2	4	no	—
53	C₃₁×C₂²⋊Q₈	—	2	8	no	—
54	C₃₁×C₂²⋊Q₈	—	2	8	no	—
55	C₃₁×#117	—	2	2	no	—
56	C₃₁×#117	—	2	2	no	—
57	C₂×C₄⋊C₄×C₃₁	—	2	4	no	—
58	C₂×C₄⋊C₄×C₃₁	—	2	4	no	—
59	C₂×C₄⋊C₄×C₃₁	D₄	1	2	yes	—
60	C₂×C₄⋊C₄×C₃₁	C₂³	1	4	yes	—
61	C₂×C₂²⋊C₄×C₃₁	—	2	4	no	—
62	C₂×C₂²⋊C₄×C₃₁	D₄	1	2	yes	—
63	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
64	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
65	C₃₁×#107	—	2	4	no	—
66	C₃₁×#106	—	2	4	no	—
67	C₃₁×#103	—	2	8	no	—
68	C₃₁×#103	—	2	8	no	—
69	C₃₁×#97	—	2	2	no	—
70	C₃₁×#97	—	2	2	no	—
71	C₄×C₈×C₃₁	—	2	2	no	—
72	C₄×C₈×C₃₁	D₄	1	4	yes	—
73	C₃₁×#95	—	2	4	no	—
74	C₃₁×#95	—	2	8	no	—
75	C₂⁴×C₃₁	C₂×D₄	1	1	yes	characteristic
76	C₂×Q₈×C₃₁	—	2	4	no	—
77	C₂×Q₈×C₃₁	—	2	4	no	—
78	C₂×Q₈×C₃₁	—	2	4	no	—
79	C₂×Q₈×C₃₁	—	2	4	no	—
80	C₂×Q₈×C₃₁	—	2	4	no	—
81	C₂×Q₈×C₃₁	—	2	4	no	—
82	C₂²×C₄×C₃₁	—	2	1	no	—
83	C₂²×C₄×C₃₁	—	2	1	no	—
84	C₂²×C₄×C₃₁	—	2	1	no	—
85	C₂²×C₄×C₃₁	—	2	1	no	—
86	C₂²×C₄×C₃₁	—	2	4	no	—
87	C₂²×C₄×C₃₁	—	2	4	no	—
88	C₂²×C₄×C₃₁	C₂×D₄	1	2	yes	—
89	C₂²×C₄×C₃₁	C₂×D₄	1	2	yes	—
90	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
91	C₂²×C₄×C₃₁	C₂×D₄	1	2	yes	—
92	C₂²×C₄×C₃₁	C₂×D₄	1	2	yes	—
93	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
94	Q₁₆×C₃₁	—	4	8	no	—
95	Q₁₆×C₃₁	—	4	8	no	—
96	M₁₆×C₃₁	—	2	8	no	—
97	C₂×C₈×C₃₁	—	2	1	no	—
98	C₂×C₈×C₃₁	—	2	1	no	—
99	C₂×C₈×C₃₁	—	2	1	no	—
100	C₂×C₈×C₃₁	—	2	1	no	—
101	C₂×C₈×C₃₁	—	2	8	no	—
102	C₂×C₈×C₃₁	C₂×D₄	1	2	yes	—
103	C₂×C₈×C₃₁	C₂×D₄	1	2	yes	—
104	C₂×C₈×C₃₁	C₂×D₄	1	2	yes	—
105	C₂×C₈×C₃₁	C₂×D₄	1	2	yes	—
106	C₂×C₈×C₃₁	C₂×D₄	1	2	yes	—
107	C₂×C₈×C₃₁	C₂×D₄	1	2	yes	—
108	C₂×C₈×C₃₁	#41	1	2	yes	—
109	C₂×C₈×C₃₁	#41	1	2	yes	—
110	C₄⋊C₄×C₃₁	—	2	4	no	—
111	C₄⋊C₄×C₃₁	—	2	4	no	—
112	C₄⋊C₄×C₃₁	—	2	4	no	—
113	C₄⋊C₄×C₃₁	—	4	8	no	—
114	C₄⋊C₄×C₃₁	—	4	8	no	—
115	C₂²⋊C₄×C₃₁	—	2	4	no	—
116	C₂²⋊C₄×C₃₁	—	4	8	no	—
117	C₄²×C₃₁	—	2	1	no	—
118	C₄²×C₃₁	—	2	1	no	—
119	C₄²×C₃₁	C₂×D₄	1	2	yes	—
120	C₄²×C₃₁	#41	1	2	yes	—
121	#33180	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
122	C₂³×C₃₁	—	2	1	no	—
123	C₂³×C₃₁	—	2	1	no	—
124	C₂³×C₃₁	—	2	4	no	—
125	C₂³×C₃₁	#127	1	2	yes	—
126	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
127	Q₈×C₃₁	—	4	4	no	—
128	Q₈×C₃₁	—	4	4	no	—
129	Q₈×C₃₁	—	4	4	no	—
130	Q₈×C₃₁	—	4	4	no	—
131	C₂×C₄×C₃₁	—	2	1	no	—
132	C₂×C₄×C₃₁	—	2	1	no	—
133	C₂×C₄×C₃₁	—	2	4	no	—
134	C₂×C₄×C₃₁	—	2	2	no	—
135	C₂×C₄×C₃₁	—	2	2	no	—
136	C₂×C₄×C₃₁	—	2	2	no	—
137	C₂×C₄×C₃₁	—	2	2	no	—
138	C₂×C₄×C₃₁	—	2	2	no	—
139	C₂×C₄×C₃₁	—	2	4	no	—
140	C₂×C₄×C₃₁	—	4	4	no	—
141	C₂×C₄×C₃₁	—	4	4	no	—
142	C₂×C₄×C₃₁	—	4	4	no	—
143	C₂×C₄×C₃₁	—	4	4	no	—
144	C₂×C₄×C₃₁	—	4	8	no	—
145	C₂×C₄×C₃₁	#121	1	4	yes	—
146	C₂×C₄×C₃₁	#127	1	2	yes	—
147	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
148	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
149	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
150	C₂×C₄×C₃₁	C₂×#41	1	1	yes	characteristic
151	C₂×C₄×C₃₁	C₂×#41	1	1	yes	characteristic
152	C₂×C₄×C₃₁	C₂×#41	1	1	yes	characteristic
153	C₈×C₃₁	—	2	2	no	—
154	C₈×C₃₁	—	2	2	no	—
155	C₈×C₃₁	#121	1	4	yes	—
156	C₈×C₃₁	#121	1	4	yes	—
157	C₂×#494	C₂×C₃₁	1	1	yes	characteristic, complemented
158	C₂×#470	C₂×C₃₁	1	2	yes	—
159	C₂×#467	C₂×C₃₁	1	2	yes	—
160	C₂×#405	C₂×C₃₁	1	1	yes	characteristic
161	#2621	C₂×C₃₁	1	2	yes	—
162	#1971	C₂×C₃₁	1	2	yes	complemented
163	#1969	C₂×C₃₁	1	2	yes	complemented
164	#1960	C₂×C₃₁	1	2	yes	complemented
165	#1846	C₂×C₃₁	1	1	yes	characteristic, complemented
166	C₂²×C₃₁	—	2	2	no	—
167	C₂²×C₃₁	—	2	4	no	—
168	C₂²×C₃₁	—	4	2	no	—
169	C₂²×C₃₁	—	4	2	no	—
170	C₂²×C₃₁	C₂×#121	1	1	yes	characteristic
171	C₂²×C₃₁	C₂×#127	1	1	yes	characteristic
172	C₂²×C₃₁	#532	1	1	yes	characteristic
173	C₂²×C₃₁	#578	1	4	yes	—
174	C₄×C₃₁	—	2	2	no	—
175	C₄×C₃₁	—	2	4	no	—
176	C₄×C₃₁	—	4	2	no	—
177	C₄×C₃₁	—	8	4	no	—
178	C₄×C₃₁	—	8	4	no	—
179	C₄×C₃₁	C₂×#121	1	1	yes	characteristic
180	C₄×C₃₁	C₂×#121	1	1	yes	characteristic
181	C₄×C₃₁	#532	1	1	yes	characteristic
182	C₄×C₃₁	#532	1	1	yes	characteristic
183	C₂²×Q₁₆	C₂²×C₃₁	1	2	yes	—
184	C₂²×Q₁₆	C₂²×C₃₁	1	2	yes	—
185	C₂²×M₁₆	C₂²×C₃₁	1	1	yes	characteristic
186	C₂³×C₈	C₂²×C₃₁	1	1	yes	characteristic
187	C₂×C₄⋊Q₈	C₂²×C₃₁	1	2	yes	—
188	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	4	yes	—
189	C₂×#117	C₂²×C₃₁	1	1	yes	characteristic
190	#494	—	2	4	no	—
191	#470	—	2	8	no	—
192	#467	—	2	8	no	—
193	C₂×#107	C₂²×C₃₁	1	2	yes	—
194	C₂×#106	C₂²×C₃₁	1	2	yes	—
195	C₂×#103	C₂²×C₃₁	1	4	yes	—
196	C₂×#103	C₂²×C₃₁	1	4	yes	—
197	#405	—	2	4	no	—
198	C₂×#97	C₂²×C₃₁	1	1	yes	characteristic
199	C₂×#97	C₂²×C₃₁	1	1	yes	characteristic
200	C₂×C₄×C₈	C₂²×C₃₁	1	1	yes	characteristic
201	C₂×C₄×C₈	C₂²×C₃₁	1	1	yes	characteristic
202	#398	—	2	4	no	—
203	#397	—	2	4	no	—
204	#391	C₂²×C₃₁	1	4	yes	—
205	#382	C₂²×C₃₁	1	2	yes	—
206	C₂×C₃₁	—	4	2	no	—
207	C₂×C₃₁	#2856	1	1	yes	characteristic
208	C₂×C₃₁	#3059	1	2	yes	—
209	C₂×C₃₁	#3156	1	2	yes	—
210	C₂×C₃₁	#3177	1	2	yes	—
211	C₂²×Q₈	C₂³×C₃₁	1	4	yes	—
212	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
213	C₂×Q₁₆	—	2	4	no	—
214	C₂×Q₁₆	—	2	4	no	—
215	C₂×Q₁₆	—	2	4	no	—
216	C₂×Q₁₆	—	2	4	no	—
217	C₂×Q₁₆	—	2	4	no	—
218	C₂×Q₁₆	—	2	4	no	—
219	C₂×M₁₆	—	2	2	no	—
220	C₂×M₁₆	—	2	2	no	—
221	C₂×M₁₆	D₄×C₃₁	1	4	yes	—
222	C₂²×C₈	—	2	2	no	—
223	C₂²×C₈	—	2	2	no	—
224	C₂²×C₈	D₄×C₃₁	1	4	yes	—
225	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
226	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
227	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
228	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
229	C₄⋊Q₈	—	2	4	no	—
230	C₄⋊Q₈	—	2	4	no	—
231	C₂²⋊Q₈	—	2	8	no	—
232	C₂²⋊Q₈	—	2	8	no	—
233	#117	—	2	2	no	—
234	#117	—	2	2	no	—
235	C₂×C₄⋊C₄	—	2	4	no	—
236	C₂×C₄⋊C₄	—	2	4	no	—
237	C₂×C₄⋊C₄	D₄×C₃₁	1	2	yes	—
238	C₂×C₄⋊C₄	C₂³×C₃₁	1	4	yes	—
239	C₂×C₂²⋊C₄	—	2	4	no	—
240	C₂×C₂²⋊C₄	D₄×C₃₁	1	2	yes	—
241	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
242	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
243	#107	—	2	4	no	—
244	#106	—	2	4	no	—
245	#103	—	2	8	no	—
246	#103	—	2	8	no	—
247	#97	—	2	2	no	—
248	#97	—	2	2	no	—
249	C₄×C₈	—	2	2	no	—
250	C₄×C₈	D₄×C₃₁	1	4	yes	—
251	#95	—	2	4	no	—
252	#95	—	2	8	no	—
253	C₃₁	#33180	1	1	yes	characteristic, direct product factor, Sylow
254	C₂⁴	C₂×D₄×C₃₁	1	1	yes	characteristic
255	C₂×Q₈	—	2	4	no	—
256	C₂×Q₈	—	2	4	no	—
257	C₂×Q₈	—	2	4	no	—
258	C₂×Q₈	—	2	4	no	—
259	C₂×Q₈	—	2	4	no	—
260	C₂×Q₈	—	2	4	no	—
261	C₂²×C₄	—	2	1	no	—
262	C₂²×C₄	—	2	1	no	—
263	C₂²×C₄	—	2	1	no	—
264	C₂²×C₄	—	2	1	no	—
265	C₂²×C₄	—	2	4	no	—
266	C₂²×C₄	—	2	4	no	—
267	C₂²×C₄	C₂×D₄×C₃₁	1	2	yes	—
268	C₂²×C₄	C₂×D₄×C₃₁	1	2	yes	—
269	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
270	C₂²×C₄	C₂×D₄×C₃₁	1	2	yes	—
271	C₂²×C₄	C₂×D₄×C₃₁	1	2	yes	—
272	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
273	Q₁₆	—	4	8	no	—
274	Q₁₆	—	4	8	no	—
275	M₁₆	—	2	8	no	—
276	C₂×C₈	—	2	1	no	—
277	C₂×C₈	—	2	1	no	—
278	C₂×C₈	—	2	1	no	—
279	C₂×C₈	—	2	1	no	—
280	C₂×C₈	—	2	8	no	—
281	C₂×C₈	C₂×D₄×C₃₁	1	2	yes	—
282	C₂×C₈	C₂×D₄×C₃₁	1	2	yes	—
283	C₂×C₈	C₂×D₄×C₃₁	1	2	yes	—
284	C₂×C₈	C₂×D₄×C₃₁	1	2	yes	—
285	C₂×C₈	C₂×D₄×C₃₁	1	2	yes	—
286	C₂×C₈	C₂×D₄×C₃₁	1	2	yes	—
287	C₂×C₈	#41×C₃₁	1	2	yes	—
288	C₂×C₈	#41×C₃₁	1	2	yes	—
289	C₄⋊C₄	—	2	4	no	—
290	C₄⋊C₄	—	2	4	no	—
291	C₄⋊C₄	—	2	4	no	—
292	C₄⋊C₄	—	4	8	no	—
293	C₄⋊C₄	—	4	8	no	—
294	C₂²⋊C₄	—	2	4	no	—
295	C₂²⋊C₄	—	4	8	no	—
296	C₄²	—	2	1	no	—
297	C₄²	—	2	1	no	—
298	C₄²	C₂×D₄×C₃₁	1	2	yes	—
299	C₄²	#41×C₃₁	1	2	yes	—
300	C₂³	—	2	1	no	—
301	C₂³	—	2	1	no	—
302	C₂³	—	2	4	no	—
303	C₂³	C₃₁×#127	1	2	yes	—
304	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
305	Q₈	—	4	4	no	—
306	Q₈	—	4	4	no	—
307	Q₈	—	4	4	no	—
308	Q₈	—	4	4	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	2	4	no	—
312	C₂×C₄	—	2	2	no	—
313	C₂×C₄	—	2	2	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	2	4	no	—
318	C₂×C₄	—	4	4	no	—
319	C₂×C₄	—	4	4	no	—
320	C₂×C₄	—	4	4	no	—
321	C₂×C₄	—	4	4	no	—
322	C₂×C₄	—	4	8	no	—
323	C₂×C₄	C₃₁×#121	1	4	yes	—
324	C₂×C₄	C₃₁×#127	1	2	yes	—
325	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
326	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
327	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
328	C₂×C₄	C₂×#41×C₃₁	1	1	yes	characteristic
329	C₂×C₄	C₂×#41×C₃₁	1	1	yes	characteristic
330	C₂×C₄	C₂×#41×C₃₁	1	1	yes	characteristic
331	C₈	—	2	2	no	—
332	C₈	—	2	2	no	—
333	C₈	C₃₁×#121	1	4	yes	—
334	C₈	C₃₁×#121	1	4	yes	—
335	C₂²	—	2	2	no	—
336	C₂²	—	2	4	no	—
337	C₂²	—	4	2	no	—
338	C₂²	—	4	2	no	—
339	C₂²	C₂×C₃₁×#121	1	1	yes	characteristic
340	C₂²	C₂×C₃₁×#127	1	1	yes	characteristic
341	C₂²	C₃₁×#532	1	1	yes	characteristic
342	C₂²	C₃₁×#578	1	4	yes	—
343	C₄	—	2	2	no	—
344	C₄	—	2	4	no	—
345	C₄	—	4	2	no	—
346	C₄	—	8	4	no	—
347	C₄	—	8	4	no	—
348	C₄	C₂×C₃₁×#121	1	1	yes	characteristic
349	C₄	C₂×C₃₁×#121	1	1	yes	characteristic
350	C₄	C₃₁×#532	1	1	yes	characteristic
351	C₄	C₃₁×#532	1	1	yes	characteristic
352	C₂	—	4	2	no	—
353	C₂	C₃₁×#2856	1	1	yes	characteristic
354	C₂	C₃₁×#3059	1	2	yes	—
355	C₂	C₃₁×#3156	1	2	yes	—
356	C₂	C₃₁×#3177	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
1. C₂×C₃₁×#494	C₂	semidirect
6. C₃₁×#1971	C₂	semidirect
7. C₃₁×#1969	C₂	semidirect
8. C₃₁×#1960	C₂	semidirect
9. C₃₁×#1846	C₂	semidirect
121. #33180	C₃₁	direct (N × H)
157. C₂×#494	C₂×C₃₁	semidirect
162. #1971	C₂×C₃₁	semidirect
163. #1969	C₂×C₃₁	semidirect
164. #1960	C₂×C₃₁	semidirect
165. #1846	C₂×C₃₁	semidirect
253. C₃₁	#33180	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×#494	2
C₂×C₃₁×#470	2
C₂×C₃₁×#467	2
C₂×C₃₁×#405	2
C₃₁×#2621	2
C₃₁×#1971	2
C₃₁×#1969	2
C₃₁×#1960	2
C₃₁×#1846	2
#33180	31

Subgroups — C31×#33180 #21489939

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#33180 #21489939