Subgroups — C₃₁×#20781 #21477540

Order 7936.

758 conjugacy classes of subgroups.

The subgroup lattice has 348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×C₃₁×#117	C₂	1	1	yes	maximal, characteristic
2	C₃₁×#1839	C₂	1	2	yes	maximal, complemented
3	C₃₁×#1832	C₂	1	2	yes	maximal, complemented
4	C₃₁×#1817	C₂	1	2	yes	maximal
5	C₃₁×#1798	C₂	1	2	yes	maximal
6	C₃₁×#1767	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄×C₃₁×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#1750	C₂	1	2	yes	maximal
9	C₃₁×#1746	C₂	1	2	yes	maximal, complemented
10	C₂×C₃₁×#117	C₂²	1	1	yes	characteristic
11	C₂×C₃₁×#117	C₂²	1	1	yes	characteristic
12	C₂²×C₄²×C₃₁	C₂²	1	1	yes	characteristic
13	C₂×C₃₁×C₄⋊C₈	C₂²	1	2	yes	—
14	C₂×C₃₁×C₄⋊C₈	C₂²	1	2	yes	—
15	C₂×C₃₁×C₂²⋊C₈	C₂²	1	4	yes	—
16	C₂×C₃₁×#97	C₂²	1	2	yes	—
17	C₂×C₄×C₈×C₃₁	C₂²	1	2	yes	—
18	C₄×C₄⋊C₄×C₃₁	C₄	1	2	yes	—
19	C₄×C₄⋊C₄×C₃₁	C₄	1	2	yes	—
20	C₄×C₂²⋊C₄×C₃₁	C₄	1	2	yes	—
21	C₄×C₂²⋊C₄×C₃₁	C₄	1	2	yes	—
22	C₃₁×#376	C₂²	1	1	yes	characteristic
23	C₃₁×#376	C₂²	1	1	yes	characteristic
24	C₄³×C₃₁	C₂²	1	1	yes	characteristic
25	C₄³×C₃₁	C₂²	1	1	yes	characteristic
26	C₃₁×#336	C₂²	1	4	yes	—
27	C₃₁×#336	C₂²	1	4	yes	—
28	C₃₁×#336	C₂²	1	2	yes	—
29	C₃₁×#336	C₂²	1	2	yes	—
30	C₃₁×#336	C₂²	1	4	yes	—
31	C₂³×C₄×C₃₁	C₂×C₄	1	2	yes	—
32	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
33	C₂²×C₈×C₃₁	C₂³	1	4	yes	—
34	C₂²×C₈×C₃₁	C₂³	1	4	yes	—
35	C₃₁×#117	—	2	2	no	—
36	C₃₁×#117	—	2	2	no	—
37	C₃₁×#117	—	2	4	no	—
38	C₂×C₄⋊C₄×C₃₁	C₂×C₄	1	1	yes	characteristic
39	C₂×C₄⋊C₄×C₃₁	C₂×C₄	1	1	yes	characteristic
40	C₂×C₄⋊C₄×C₃₁	C₂×C₄	1	2	yes	—
41	C₂×C₂²⋊C₄×C₃₁	C₂×C₄	1	1	yes	characteristic
42	C₂×C₂²⋊C₄×C₃₁	C₂×C₄	1	1	yes	characteristic
43	C₂×C₂²⋊C₄×C₃₁	C₂×C₄	1	2	yes	—
44	C₂×C₄²×C₃₁	—	2	4	no	—
45	C₂×C₄²×C₃₁	C₂×C₄	1	2	yes	—
46	C₂×C₄²×C₃₁	C₂×C₄	1	2	yes	—
47	C₂×C₄²×C₃₁	C₂×C₄	1	2	yes	—
48	C₂×C₄²×C₃₁	C₂×C₄	1	2	yes	—
49	C₂×C₄²×C₃₁	C₂×C₄	1	2	yes	—
50	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
51	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
52	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
53	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
54	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
55	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
56	C₃₁×C₄⋊C₈	—	2	4	no	—
57	C₃₁×C₄⋊C₈	—	2	4	no	—
58	C₃₁×C₂²⋊C₈	—	2	8	no	—
59	C₃₁×#97	—	2	4	no	—
60	C₄×C₈×C₃₁	—	2	4	no	—
61	C₃₁×#95	C₂×C₄	1	2	yes	—
62	C₃₁×#95	C₂×C₄	1	2	yes	—
63	C₃₁×#95	C₂×C₄	1	2	yes	—
64	C₃₁×#95	C₂×C₄	1	2	yes	—
65	C₂⁴×C₃₁	C₂²×C₄	1	1	yes	characteristic
66	C₂²×C₄×C₃₁	—	2	2	no	—
67	C₂²×C₄×C₃₁	—	2	1	no	—
68	C₂²×C₄×C₃₁	—	2	1	no	—
69	C₂²×C₄×C₃₁	—	2	4	no	—
70	C₂²×C₄×C₃₁	—	2	4	no	—
71	C₂²×C₄×C₃₁	—	4	2	no	—
72	C₂²×C₄×C₃₁	C₂²×C₄	1	2	yes	—
73	C₂²×C₄×C₃₁	C₂²×C₄	1	1	yes	characteristic
74	C₂²×C₄×C₃₁	C₂²×C₄	1	2	yes	—
75	C₂²×C₄×C₃₁	C₂²×C₄	1	1	yes	characteristic
76	C₂²×C₄×C₃₁	C₂²×C₄	1	1	yes	characteristic
77	C₂²×C₄×C₃₁	C₂²×C₄	1	2	yes	—
78	C₂²×C₄×C₃₁	C₂²×C₄	1	1	yes	characteristic
79	C₂²×C₄×C₃₁	C₂²×C₄	1	1	yes	characteristic
80	C₂²×C₄×C₃₁	C₂²×C₄	1	2	yes	—
81	C₂²×C₄×C₃₁	#41	1	4	yes	—
82	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
83	C₂×C₈×C₃₁	—	2	4	no	—
84	C₂×C₈×C₃₁	—	2	4	no	—
85	C₂×C₈×C₃₁	—	2	4	no	—
86	C₂×C₈×C₃₁	—	2	4	no	—
87	C₂×C₈×C₃₁	—	2	4	no	—
88	C₂×C₈×C₃₁	—	2	4	no	—
89	C₄⋊C₄×C₃₁	—	2	2	no	—
90	C₄⋊C₄×C₃₁	—	2	2	no	—
91	C₄⋊C₄×C₃₁	—	2	4	no	—
92	C₂²⋊C₄×C₃₁	—	2	2	no	—
93	C₂²⋊C₄×C₃₁	—	2	2	no	—
94	C₂²⋊C₄×C₃₁	—	2	4	no	—
95	C₄²×C₃₁	—	2	4	no	—
96	C₄²×C₃₁	—	2	4	no	—
97	C₄²×C₃₁	—	2	4	no	—
98	C₄²×C₃₁	—	2	2	no	—
99	C₄²×C₃₁	—	2	2	no	—
100	C₄²×C₃₁	—	2	2	no	—
101	C₄²×C₃₁	—	2	1	no	—
102	C₄²×C₃₁	—	2	1	no	—
103	C₄²×C₃₁	—	4	2	no	—
104	C₄²×C₃₁	—	4	2	no	—
105	C₄²×C₃₁	#41	1	2	yes	—
106	C₄²×C₃₁	#41	1	2	yes	—
107	C₄²×C₃₁	#41	1	4	yes	—
108	#20781	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
109	C₂³×C₃₁	—	2	1	no	—
110	C₂³×C₃₁	—	2	1	no	—
111	C₂³×C₃₁	—	2	2	no	—
112	C₂³×C₃₁	—	2	2	no	—
113	C₂³×C₃₁	#117	1	2	yes	—
114	C₂³×C₃₁	C₂³×C₄	1	1	yes	characteristic
115	C₂×C₄×C₃₁	—	2	2	no	—
116	C₂×C₄×C₃₁	—	2	1	no	—
117	C₂×C₄×C₃₁	—	2	1	no	—
118	C₂×C₄×C₃₁	—	2	2	no	—
119	C₂×C₄×C₃₁	—	2	2	no	—
120	C₂×C₄×C₃₁	—	2	2	no	—
121	C₂×C₄×C₃₁	—	2	2	no	—
122	C₂×C₄×C₃₁	—	2	2	no	—
123	C₂×C₄×C₃₁	—	2	4	no	—
124	C₂×C₄×C₃₁	—	2	4	no	—
125	C₂×C₄×C₃₁	—	2	2	no	—
126	C₂×C₄×C₃₁	—	2	1	no	—
127	C₂×C₄×C₃₁	—	2	1	no	—
128	C₂×C₄×C₃₁	—	2	2	no	—
129	C₂×C₄×C₃₁	—	2	2	no	—
130	C₂×C₄×C₃₁	—	2	2	no	—
131	C₂×C₄×C₃₁	—	2	2	no	—
132	C₂×C₄×C₃₁	—	2	2	no	—
133	C₂×C₄×C₃₁	—	2	2	no	—
134	C₂×C₄×C₃₁	—	2	2	no	—
135	C₂×C₄×C₃₁	—	4	8	no	—
136	C₂×C₄×C₃₁	#117	1	2	yes	—
137	C₂×C₄×C₃₁	#117	1	2	yes	—
138	C₂×C₄×C₃₁	#117	1	2	yes	—
139	C₂×C₄×C₃₁	#117	1	4	yes	—
140	C₂×C₄×C₃₁	#131	1	4	yes	—
141	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
142	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
143	C₂×C₄×C₃₁	C₂×#41	1	1	yes	characteristic
144	C₂×C₄×C₃₁	C₂×#41	1	1	yes	characteristic
145	C₈×C₃₁	—	4	4	no	—
146	C₈×C₃₁	—	4	4	no	—
147	C₄×#117	C₂×C₃₁	1	1	yes	characteristic
148	#1839	C₂×C₃₁	1	2	yes	complemented
149	#1832	C₂×C₃₁	1	2	yes	complemented
150	#1817	C₂×C₃₁	1	2	yes	—
151	#1798	C₂×C₃₁	1	2	yes	—
152	#1767	C₂×C₃₁	1	1	yes	characteristic, complemented
153	C₄×C₄⋊C₈	C₂×C₃₁	1	1	yes	characteristic, complemented
154	#1750	C₂×C₃₁	1	2	yes	—
155	#1746	C₂×C₃₁	1	2	yes	complemented
156	C₂²×C₃₁	—	2	4	no	—
157	C₂²×C₃₁	—	2	2	no	—
158	C₂²×C₃₁	—	4	1	no	—
159	C₂²×C₃₁	—	4	1	no	—
160	C₂²×C₃₁	—	4	2	no	—
161	C₂²×C₃₁	C₂×#117	1	1	yes	characteristic
162	C₂²×C₃₁	C₂×#117	1	1	yes	characteristic
163	C₂²×C₃₁	C₂×#117	1	1	yes	characteristic
164	C₂²×C₃₁	C₂×#131	1	2	yes	—
165	C₂²×C₃₁	#568	1	2	yes	—
166	C₄×C₃₁	—	2	2	no	—
167	C₄×C₃₁	—	2	2	no	—
168	C₄×C₃₁	—	2	4	no	—
169	C₄×C₃₁	—	2	4	no	—
170	C₄×C₃₁	—	2	2	no	—
171	C₄×C₃₁	—	4	1	no	—
172	C₄×C₃₁	—	4	1	no	—
173	C₄×C₃₁	—	4	2	no	—
174	C₄×C₃₁	—	4	2	no	—
175	C₄×C₃₁	#529	1	2	yes	—
176	C₄×C₃₁	#529	1	2	yes	—
177	C₂×#117	C₂²×C₃₁	1	1	yes	characteristic
178	C₂×#117	C₂²×C₃₁	1	1	yes	characteristic
179	C₂²×C₄²	C₂²×C₃₁	1	1	yes	characteristic
180	C₂×C₄⋊C₈	C₂²×C₃₁	1	2	yes	—
181	C₂×C₄⋊C₈	C₂²×C₃₁	1	2	yes	—
182	C₂×C₂²⋊C₈	C₂²×C₃₁	1	4	yes	—
183	C₂×#97	C₂²×C₃₁	1	2	yes	—
184	C₂×C₄×C₈	C₂²×C₃₁	1	2	yes	—
185	C₄×C₄⋊C₄	C₄×C₃₁	1	2	yes	—
186	C₄×C₄⋊C₄	C₄×C₃₁	1	2	yes	—
187	C₄×C₂²⋊C₄	C₄×C₃₁	1	2	yes	—
188	C₄×C₂²⋊C₄	C₄×C₃₁	1	2	yes	—
189	#376	C₂²×C₃₁	1	1	yes	characteristic
190	#376	C₂²×C₃₁	1	1	yes	characteristic
191	C₄³	C₂²×C₃₁	1	1	yes	characteristic
192	C₄³	C₂²×C₃₁	1	1	yes	characteristic
193	#336	C₂²×C₃₁	1	4	yes	—
194	#336	C₂²×C₃₁	1	4	yes	—
195	#336	C₂²×C₃₁	1	2	yes	—
196	#336	C₂²×C₃₁	1	2	yes	—
197	#336	C₂²×C₃₁	1	4	yes	—
198	C₂×C₃₁	—	4	2	no	—
199	C₂×C₃₁	#2283	1	1	yes	characteristic
200	C₂×C₃₁	#2922	1	1	yes	characteristic
201	C₂×C₃₁	#2923	1	1	yes	characteristic
202	C₂×C₃₁	#2924	1	2	yes	—
203	C₂×C₃₁	#2925	1	2	yes	—
204	C₂³×C₄	C₂×C₄×C₃₁	1	2	yes	—
205	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
206	C₂²×C₈	C₂³×C₃₁	1	4	yes	—
207	C₂²×C₈	C₂³×C₃₁	1	4	yes	—
208	#117	—	2	2	no	—
209	#117	—	2	2	no	—
210	#117	—	2	4	no	—
211	C₂×C₄⋊C₄	C₂×C₄×C₃₁	1	1	yes	characteristic
212	C₂×C₄⋊C₄	C₂×C₄×C₃₁	1	1	yes	characteristic
213	C₂×C₄⋊C₄	C₂×C₄×C₃₁	1	2	yes	—
214	C₂×C₂²⋊C₄	C₂×C₄×C₃₁	1	1	yes	characteristic
215	C₂×C₂²⋊C₄	C₂×C₄×C₃₁	1	1	yes	characteristic
216	C₂×C₂²⋊C₄	C₂×C₄×C₃₁	1	2	yes	—
217	C₂×C₄²	—	2	4	no	—
218	C₂×C₄²	C₂×C₄×C₃₁	1	2	yes	—
219	C₂×C₄²	C₂×C₄×C₃₁	1	2	yes	—
220	C₂×C₄²	C₂×C₄×C₃₁	1	2	yes	—
221	C₂×C₄²	C₂×C₄×C₃₁	1	2	yes	—
222	C₂×C₄²	C₂×C₄×C₃₁	1	2	yes	—
223	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
224	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
225	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
226	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
227	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
228	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
229	C₄⋊C₈	—	2	4	no	—
230	C₄⋊C₈	—	2	4	no	—
231	C₂²⋊C₈	—	2	8	no	—
232	#97	—	2	4	no	—
233	C₄×C₈	—	2	4	no	—
234	#95	C₂×C₄×C₃₁	1	2	yes	—
235	#95	C₂×C₄×C₃₁	1	2	yes	—
236	#95	C₂×C₄×C₃₁	1	2	yes	—
237	#95	C₂×C₄×C₃₁	1	2	yes	—
238	C₃₁	#20781	1	1	yes	characteristic, direct product factor, Sylow
239	C₂⁴	C₂²×C₄×C₃₁	1	1	yes	characteristic
240	C₂²×C₄	—	2	2	no	—
241	C₂²×C₄	—	2	1	no	—
242	C₂²×C₄	—	2	1	no	—
243	C₂²×C₄	—	2	4	no	—
244	C₂²×C₄	—	2	4	no	—
245	C₂²×C₄	—	4	2	no	—
246	C₂²×C₄	C₂²×C₄×C₃₁	1	2	yes	—
247	C₂²×C₄	C₂²×C₄×C₃₁	1	1	yes	characteristic
248	C₂²×C₄	C₂²×C₄×C₃₁	1	2	yes	—
249	C₂²×C₄	C₂²×C₄×C₃₁	1	1	yes	characteristic
250	C₂²×C₄	C₂²×C₄×C₃₁	1	1	yes	characteristic
251	C₂²×C₄	C₂²×C₄×C₃₁	1	2	yes	—
252	C₂²×C₄	C₂²×C₄×C₃₁	1	1	yes	characteristic
253	C₂²×C₄	C₂²×C₄×C₃₁	1	1	yes	characteristic
254	C₂²×C₄	C₂²×C₄×C₃₁	1	2	yes	—
255	C₂²×C₄	#41×C₃₁	1	4	yes	—
256	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
257	C₂×C₈	—	2	4	no	—
258	C₂×C₈	—	2	4	no	—
259	C₂×C₈	—	2	4	no	—
260	C₂×C₈	—	2	4	no	—
261	C₂×C₈	—	2	4	no	—
262	C₂×C₈	—	2	4	no	—
263	C₄⋊C₄	—	2	2	no	—
264	C₄⋊C₄	—	2	2	no	—
265	C₄⋊C₄	—	2	4	no	—
266	C₂²⋊C₄	—	2	2	no	—
267	C₂²⋊C₄	—	2	2	no	—
268	C₂²⋊C₄	—	2	4	no	—
269	C₄²	—	2	4	no	—
270	C₄²	—	2	4	no	—
271	C₄²	—	2	4	no	—
272	C₄²	—	2	2	no	—
273	C₄²	—	2	2	no	—
274	C₄²	—	2	2	no	—
275	C₄²	—	2	1	no	—
276	C₄²	—	2	1	no	—
277	C₄²	—	4	2	no	—
278	C₄²	—	4	2	no	—
279	C₄²	#41×C₃₁	1	2	yes	—
280	C₄²	#41×C₃₁	1	2	yes	—
281	C₄²	#41×C₃₁	1	4	yes	—
282	C₂³	—	2	1	no	—
283	C₂³	—	2	1	no	—
284	C₂³	—	2	2	no	—
285	C₂³	—	2	2	no	—
286	C₂³	C₃₁×#117	1	2	yes	—
287	C₂³	C₂³×C₄×C₃₁	1	1	yes	characteristic
288	C₂×C₄	—	2	2	no	—
289	C₂×C₄	—	2	1	no	—
290	C₂×C₄	—	2	1	no	—
291	C₂×C₄	—	2	2	no	—
292	C₂×C₄	—	2	2	no	—
293	C₂×C₄	—	2	2	no	—
294	C₂×C₄	—	2	2	no	—
295	C₂×C₄	—	2	2	no	—
296	C₂×C₄	—	2	4	no	—
297	C₂×C₄	—	2	4	no	—
298	C₂×C₄	—	2	2	no	—
299	C₂×C₄	—	2	1	no	—
300	C₂×C₄	—	2	1	no	—
301	C₂×C₄	—	2	2	no	—
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	2	2	no	—
306	C₂×C₄	—	2	2	no	—
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	—	4	8	no	—
309	C₂×C₄	C₃₁×#117	1	2	yes	—
310	C₂×C₄	C₃₁×#117	1	2	yes	—
311	C₂×C₄	C₃₁×#117	1	2	yes	—
312	C₂×C₄	C₃₁×#117	1	4	yes	—
313	C₂×C₄	C₃₁×#131	1	4	yes	—
314	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
315	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
316	C₂×C₄	C₂×#41×C₃₁	1	1	yes	characteristic
317	C₂×C₄	C₂×#41×C₃₁	1	1	yes	characteristic
318	C₈	—	4	4	no	—
319	C₈	—	4	4	no	—
320	C₂²	—	2	4	no	—
321	C₂²	—	2	2	no	—
322	C₂²	—	4	1	no	—
323	C₂²	—	4	1	no	—
324	C₂²	—	4	2	no	—
325	C₂²	C₂×C₃₁×#117	1	1	yes	characteristic
326	C₂²	C₂×C₃₁×#117	1	1	yes	characteristic
327	C₂²	C₂×C₃₁×#117	1	1	yes	characteristic
328	C₂²	C₂×C₃₁×#131	1	2	yes	—
329	C₂²	C₃₁×#568	1	2	yes	—
330	C₄	—	2	2	no	—
331	C₄	—	2	2	no	—
332	C₄	—	2	4	no	—
333	C₄	—	2	4	no	—
334	C₄	—	2	2	no	—
335	C₄	—	4	1	no	—
336	C₄	—	4	1	no	—
337	C₄	—	4	2	no	—
338	C₄	—	4	2	no	—
339	C₄	C₃₁×#529	1	2	yes	—
340	C₄	C₃₁×#529	1	2	yes	—
341	C₂	—	4	2	no	—
342	C₂	C₃₁×#2283	1	1	yes	characteristic
343	C₂	C₃₁×#2922	1	1	yes	characteristic
344	C₂	C₃₁×#2923	1	1	yes	characteristic
345	C₂	C₃₁×#2924	1	2	yes	—
346	C₂	C₃₁×#2925	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
2. C₃₁×#1839	C₂	semidirect
3. C₃₁×#1832	C₂	semidirect
6. C₃₁×#1767	C₂	semidirect
7. C₄×C₃₁×C₄⋊C₈	C₂	semidirect
9. C₃₁×#1746	C₂	semidirect
108. #20781	C₃₁	direct (N × H)
148. #1839	C₂×C₃₁	semidirect
149. #1832	C₂×C₃₁	semidirect
152. #1767	C₂×C₃₁	semidirect
153. C₄×C₄⋊C₈	C₂×C₃₁	semidirect
155. #1746	C₂×C₃₁	semidirect
238. C₃₁	#20781	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄×C₃₁×#117	2
C₃₁×#1839	2
C₃₁×#1832	2
C₃₁×#1817	2
C₃₁×#1798	2
C₃₁×#1767	2
C₄×C₃₁×C₄⋊C₈	2
C₃₁×#1750	2
C₃₁×#1746	2
#20781	31

Subgroups — C31×#20781 #21477540

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#20781 #21477540