Subgroups — C₃₁×#22831 #21479590

Order 7936.

616 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#2295	C₂	1	1	yes	maximal, characteristic
2	C₃₁×#1985	C₂	1	2	yes	maximal
3	C₃₁×#1917	C₂	1	2	yes	maximal
4	C₃₁×#1916	C₂	1	2	yes	maximal
5	C₃₁×#1840	C₂	1	2	yes	maximal
6	C₃₁×#1831	C₂	1	1	yes	maximal, characteristic
7	C₃₁×#1771	C₂	1	2	yes	maximal
8	C₃₁×#1767	C₂	1	1	yes	maximal, characteristic
9	C₃₁×#1746	C₂	1	2	yes	maximal
10	C₂×C₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
11	C₂×C₃₁×C₄⋊C₈	C₂²	1	2	yes	—
12	C₂×C₃₁×C₄⋊C₈	C₂²	1	2	yes	—
13	C₂×C₃₁×#97	C₂²	1	2	yes	—
14	C₂×C₃₁×#97	C₂²	1	2	yes	—
15	C₂×C₄×C₈×C₃₁	C₂²	1	2	yes	—
16	C₃₁×#391	C₄	1	1	yes	characteristic
17	C₃₁×#391	C₄	1	1	yes	characteristic
18	C₃₁×#389	C₄	1	1	yes	characteristic
19	C₃₁×#389	C₄	1	1	yes	characteristic
20	C₃₁×#387	C₄	1	2	yes	—
21	C₃₁×#387	C₄	1	2	yes	—
22	C₄×C₄⋊C₄×C₃₁	C₂²	1	2	yes	—
23	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
24	C₃₁×#376	C₂²	1	2	yes	—
25	C₄³×C₃₁	C₂²	1	1	yes	characteristic
26	C₃₁×#336	C₂²	1	2	yes	—
27	C₃₁×#336	C₂²	1	1	yes	characteristic
28	C₃₁×#336	C₂²	1	1	yes	characteristic
29	C₃₁×#336	C₂²	1	1	yes	characteristic
30	C₃₁×#336	C₂²	1	2	yes	—
31	C₃₁×#336	C₂²	1	2	yes	—
32	C₃₁×#336	C₂²	1	2	yes	—
33	C₃₁×#336	C₂²	1	2	yes	—
34	C₃₁×#336	C₂²	1	2	yes	—
35	C₃₁×#336	C₂²	1	2	yes	—
36	C₃₁×#336	C₂²	1	1	yes	characteristic
37	C₂²×Q₈×C₃₁	C₂×C₄	1	1	yes	characteristic
38	C₂²×C₈×C₃₁	C₂³	1	2	yes	—
39	C₂²×C₈×C₃₁	C₂³	1	2	yes	—
40	C₂²×C₈×C₃₁	C₂³	1	2	yes	—
41	C₂²×C₈×C₃₁	C₂³	1	2	yes	—
42	C₄×Q₈×C₃₁	—	2	2	no	—
43	C₄×Q₈×C₃₁	—	2	2	no	—
44	C₂×C₄⋊C₄×C₃₁	C₂×C₄	1	2	yes	—
45	C₂×C₄⋊C₄×C₃₁	C₂×C₄	1	1	yes	characteristic
46	C₂×C₄⋊C₄×C₃₁	C₂×C₄	1	2	yes	—
47	C₂×C₄⋊C₄×C₃₁	C₂×C₄	1	2	yes	—
48	C₂×C₄⋊C₄×C₃₁	C₂×C₄	1	1	yes	characteristic
49	C₂×C₄⋊C₄×C₃₁	C₂×C₄	1	1	yes	characteristic
50	C₂×C₄²×C₃₁	C₂×C₄	1	1	yes	characteristic
51	C₂×C₄²×C₃₁	C₂×C₄	1	1	yes	characteristic
52	C₂×C₄²×C₃₁	C₂×C₄	1	1	yes	characteristic
53	C₂×C₄²×C₃₁	C₂×C₄	1	1	yes	characteristic
54	C₂×C₄²×C₃₁	C₂³	1	2	yes	—
55	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
56	C₂×C₄²×C₃₁	C₂³	1	2	yes	—
57	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
58	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
59	C₃₁×C₄⋊C₈	—	2	4	no	—
60	C₃₁×C₄⋊C₈	—	2	4	no	—
61	C₃₁×#97	—	2	4	no	—
62	C₃₁×#97	—	2	4	no	—
63	C₄×C₈×C₃₁	—	2	4	no	—
64	C₃₁×#95	C₂×C₄	1	2	yes	—
65	C₃₁×#95	C₂×C₄	1	2	yes	—
66	C₃₁×#95	C₂×C₄	1	2	yes	—
67	C₃₁×#95	C₂×C₄	1	2	yes	—
68	C₃₁×#95	C₂×C₄	1	2	yes	—
69	C₃₁×#95	C₂×C₄	1	2	yes	—
70	C₃₁×#95	C₂×C₄	1	2	yes	—
71	C₂×Q₈×C₃₁	—	2	2	no	—
72	C₂×Q₈×C₃₁	—	4	1	no	—
73	C₂×Q₈×C₃₁	—	4	1	no	—
74	C₂²×C₄×C₃₁	C₂²×C₄	1	1	yes	characteristic
75	C₂²×C₄×C₃₁	C₂²×C₄	1	1	yes	characteristic
76	C₂²×C₄×C₃₁	C₂²×C₄	1	2	yes	—
77	C₂²×C₄×C₃₁	C₂²×C₄	1	2	yes	—
78	C₂²×C₄×C₃₁	C₂²×C₄	1	2	yes	—
79	C₂²×C₄×C₃₁	C₂²×C₄	1	1	yes	characteristic
80	C₂²×C₄×C₃₁	C₂²×C₄	1	2	yes	—
81	C₂²×C₄×C₃₁	C₂²×C₄	1	1	yes	characteristic
82	C₂²×C₄×C₃₁	C₂²×C₄	1	1	yes	characteristic
83	C₂²×C₄×C₃₁	C₂²×C₄	1	1	yes	characteristic
84	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
85	C₂×C₈×C₃₁	—	2	2	no	—
86	C₂×C₈×C₃₁	—	2	2	no	—
87	C₂×C₈×C₃₁	—	2	2	no	—
88	C₂×C₈×C₃₁	—	2	2	no	—
89	C₂×C₈×C₃₁	—	2	2	no	—
90	C₂×C₈×C₃₁	—	2	2	no	—
91	C₂×C₈×C₃₁	—	2	2	no	—
92	C₂×C₈×C₃₁	—	2	2	no	—
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	#41	1	4	yes	—
97	C₄⋊C₄×C₃₁	—	2	2	no	—
98	C₄⋊C₄×C₃₁	—	2	4	no	—
99	C₄⋊C₄×C₃₁	—	2	4	no	—
100	C₄⋊C₄×C₃₁	—	4	1	no	—
101	C₄⋊C₄×C₃₁	—	4	1	no	—
102	C₄⋊C₄×C₃₁	—	4	2	no	—
103	C₄²×C₃₁	—	2	2	no	—
104	C₄²×C₃₁	—	2	2	no	—
105	C₄²×C₃₁	—	2	2	no	—
106	C₄²×C₃₁	—	2	2	no	—
107	C₄²×C₃₁	—	2	2	no	—
108	C₄²×C₃₁	—	2	2	no	—
109	C₄²×C₃₁	—	2	2	no	—
110	C₄²×C₃₁	—	4	1	no	—
111	C₄²×C₃₁	—	4	1	no	—
112	C₄²×C₃₁	—	4	1	no	—
113	C₄²×C₃₁	#41	1	2	yes	—
114	C₄²×C₃₁	#41	1	2	yes	—
115	#22831	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
116	C₂³×C₃₁	C₂³×C₄	1	1	yes	characteristic
117	Q₈×C₃₁	—	4	4	no	—
118	C₂×C₄×C₃₁	—	2	1	no	—
119	C₂×C₄×C₃₁	—	2	1	no	—
120	C₂×C₄×C₃₁	—	2	1	no	—
121	C₂×C₄×C₃₁	—	2	1	no	—
122	C₂×C₄×C₃₁	—	2	1	no	—
123	C₂×C₄×C₃₁	—	2	1	no	—
124	C₂×C₄×C₃₁	—	2	2	no	—
125	C₂×C₄×C₃₁	—	2	2	no	—
126	C₂×C₄×C₃₁	—	2	2	no	—
127	C₂×C₄×C₃₁	—	2	1	no	—
128	C₂×C₄×C₃₁	—	2	2	no	—
129	C₂×C₄×C₃₁	—	2	1	no	—
130	C₂×C₄×C₃₁	—	2	1	no	—
131	C₂×C₄×C₃₁	—	2	1	no	—
132	C₂×C₄×C₃₁	—	2	2	no	—
133	C₂×C₄×C₃₁	—	2	2	no	—
134	C₂×C₄×C₃₁	—	2	1	no	—
135	C₂×C₄×C₃₁	—	2	1	no	—
136	C₂×C₄×C₃₁	—	2	1	no	—
137	C₂×C₄×C₃₁	—	2	1	no	—
138	C₂×C₄×C₃₁	—	2	1	no	—
139	C₂×C₄×C₃₁	—	2	2	no	—
140	C₂×C₄×C₃₁	—	2	2	no	—
141	C₂×C₄×C₃₁	—	2	2	no	—
142	C₂×C₄×C₃₁	—	2	2	no	—
143	C₂×C₄×C₃₁	—	2	2	no	—
144	C₂×C₄×C₃₁	—	2	2	no	—
145	C₂×C₄×C₃₁	#117	1	2	yes	—
146	C₂×C₄×C₃₁	#117	1	2	yes	—
147	C₂×C₄×C₃₁	#131	1	2	yes	—
148	C₂×C₄×C₃₁	C₂×#41	1	1	yes	characteristic
149	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
150	C₂×C₄×C₃₁	C₂×#41	1	1	yes	characteristic
151	C₂×C₄×C₃₁	2₋¹⁺⁴	1	2	yes	—
152	C₈×C₃₁	—	2	4	no	—
153	C₈×C₃₁	—	4	2	no	—
154	C₈×C₃₁	—	4	2	no	—
155	C₈×C₃₁	—	4	2	no	—
156	#2295	C₂×C₃₁	1	1	yes	characteristic
157	#1985	C₂×C₃₁	1	2	yes	—
158	#1917	C₂×C₃₁	1	2	yes	—
159	#1916	C₂×C₃₁	1	2	yes	—
160	#1840	C₂×C₃₁	1	2	yes	—
161	#1831	C₂×C₃₁	1	1	yes	characteristic
162	#1771	C₂×C₃₁	1	2	yes	—
163	#1767	C₂×C₃₁	1	1	yes	characteristic
164	#1746	C₂×C₃₁	1	2	yes	—
165	C₂²×C₃₁	C₂×#117	1	1	yes	characteristic
166	C₂²×C₃₁	C₄×#41	1	1	yes	characteristic
167	C₂²×C₃₁	#519	1	1	yes	characteristic
168	C₂²×C₃₁	C₂×#131	1	1	yes	characteristic
169	C₂²×C₃₁	#568	1	1	yes	characteristic
170	C₂²×C₃₁	#568	1	1	yes	characteristic
171	C₂²×C₃₁	#568	1	1	yes	characteristic
172	C₄×C₃₁	—	2	2	no	—
173	C₄×C₃₁	—	2	2	no	—
174	C₄×C₃₁	—	2	2	no	—
175	C₄×C₃₁	—	4	2	no	—
176	C₄×C₃₁	—	4	2	no	—
177	C₄×C₃₁	—	4	1	no	—
178	C₄×C₃₁	—	4	2	no	—
179	C₄×C₃₁	—	4	2	no	—
180	C₄×C₃₁	—	4	1	no	—
181	C₄×C₃₁	—	4	1	no	—
182	C₄×C₃₁	#552	1	2	yes	—
183	C₄×C₃₁	#556	1	2	yes	—
184	C₂×C₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
185	C₂×C₄⋊C₈	C₂²×C₃₁	1	2	yes	—
186	C₂×C₄⋊C₈	C₂²×C₃₁	1	2	yes	—
187	C₂×#97	C₂²×C₃₁	1	2	yes	—
188	C₂×#97	C₂²×C₃₁	1	2	yes	—
189	C₂×C₄×C₈	C₂²×C₃₁	1	2	yes	—
190	#391	C₄×C₃₁	1	1	yes	characteristic
191	#391	C₄×C₃₁	1	1	yes	characteristic
192	#389	C₄×C₃₁	1	1	yes	characteristic
193	#389	C₄×C₃₁	1	1	yes	characteristic
194	#387	C₄×C₃₁	1	2	yes	—
195	#387	C₄×C₃₁	1	2	yes	—
196	C₄×C₄⋊C₄	C₂²×C₃₁	1	2	yes	—
197	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
198	#376	C₂²×C₃₁	1	2	yes	—
199	C₄³	C₂²×C₃₁	1	1	yes	characteristic
200	#336	C₂²×C₃₁	1	2	yes	—
201	#336	C₂²×C₃₁	1	1	yes	characteristic
202	#336	C₂²×C₃₁	1	1	yes	characteristic
203	#336	C₂²×C₃₁	1	1	yes	characteristic
204	#336	C₂²×C₃₁	1	2	yes	—
205	#336	C₂²×C₃₁	1	2	yes	—
206	#336	C₂²×C₃₁	1	2	yes	—
207	#336	C₂²×C₃₁	1	2	yes	—
208	#336	C₂²×C₃₁	1	2	yes	—
209	#336	C₂²×C₃₁	1	2	yes	—
210	#336	C₂²×C₃₁	1	1	yes	characteristic
211	C₂×C₃₁	#2356	1	1	yes	characteristic
212	C₂×C₃₁	#2921	1	1	yes	characteristic
213	C₂×C₃₁	#2925	1	1	yes	characteristic
214	C₂×C₃₁	#2967	1	1	yes	characteristic
215	C₂×C₃₁	#2968	1	1	yes	characteristic
216	C₂×C₃₁	#2985	1	1	yes	characteristic
217	C₂×C₃₁	#2987	1	1	yes	characteristic
218	C₂²×Q₈	C₂×C₄×C₃₁	1	1	yes	characteristic
219	C₂²×C₈	C₂³×C₃₁	1	2	yes	—
220	C₂²×C₈	C₂³×C₃₁	1	2	yes	—
221	C₂²×C₈	C₂³×C₃₁	1	2	yes	—
222	C₂²×C₈	C₂³×C₃₁	1	2	yes	—
223	C₄×Q₈	—	2	2	no	—
224	C₄×Q₈	—	2	2	no	—
225	C₂×C₄⋊C₄	C₂×C₄×C₃₁	1	2	yes	—
226	C₂×C₄⋊C₄	C₂×C₄×C₃₁	1	1	yes	characteristic
227	C₂×C₄⋊C₄	C₂×C₄×C₃₁	1	2	yes	—
228	C₂×C₄⋊C₄	C₂×C₄×C₃₁	1	2	yes	—
229	C₂×C₄⋊C₄	C₂×C₄×C₃₁	1	1	yes	characteristic
230	C₂×C₄⋊C₄	C₂×C₄×C₃₁	1	1	yes	characteristic
231	C₂×C₄²	C₂×C₄×C₃₁	1	1	yes	characteristic
232	C₂×C₄²	C₂×C₄×C₃₁	1	1	yes	characteristic
233	C₂×C₄²	C₂×C₄×C₃₁	1	1	yes	characteristic
234	C₂×C₄²	C₂×C₄×C₃₁	1	1	yes	characteristic
235	C₂×C₄²	C₂³×C₃₁	1	2	yes	—
236	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
237	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
238	C₂×C₄²	C₂³×C₃₁	1	2	yes	—
239	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
240	C₄⋊C₈	—	2	4	no	—
241	C₄⋊C₈	—	2	4	no	—
242	#97	—	2	4	no	—
243	#97	—	2	4	no	—
244	C₄×C₈	—	2	4	no	—
245	#95	C₂×C₄×C₃₁	1	2	yes	—
246	#95	C₂×C₄×C₃₁	1	2	yes	—
247	#95	C₂×C₄×C₃₁	1	2	yes	—
248	#95	C₂×C₄×C₃₁	1	2	yes	—
249	#95	C₂×C₄×C₃₁	1	2	yes	—
250	#95	C₂×C₄×C₃₁	1	2	yes	—
251	#95	C₂×C₄×C₃₁	1	2	yes	—
252	C₃₁	#22831	1	1	yes	characteristic, direct product factor, Sylow
253	C₂×Q₈	—	2	2	no	—
254	C₂×Q₈	—	4	1	no	—
255	C₂×Q₈	—	4	1	no	—
256	C₂²×C₄	C₂²×C₄×C₃₁	1	1	yes	characteristic
257	C₂²×C₄	C₂²×C₄×C₃₁	1	1	yes	characteristic
258	C₂²×C₄	C₂²×C₄×C₃₁	1	2	yes	—
259	C₂²×C₄	C₂²×C₄×C₃₁	1	2	yes	—
260	C₂²×C₄	C₂²×C₄×C₃₁	1	2	yes	—
261	C₂²×C₄	C₂²×C₄×C₃₁	1	1	yes	characteristic
262	C₂²×C₄	C₂²×C₄×C₃₁	1	2	yes	—
263	C₂²×C₄	C₂²×C₄×C₃₁	1	1	yes	characteristic
264	C₂²×C₄	C₂²×C₄×C₃₁	1	1	yes	characteristic
265	C₂²×C₄	C₂²×C₄×C₃₁	1	1	yes	characteristic
266	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
267	C₂×C₈	—	2	2	no	—
268	C₂×C₈	—	2	2	no	—
269	C₂×C₈	—	2	2	no	—
270	C₂×C₈	—	2	2	no	—
271	C₂×C₈	—	2	2	no	—
272	C₂×C₈	—	2	2	no	—
273	C₂×C₈	—	2	2	no	—
274	C₂×C₈	—	2	2	no	—
275	C₂×C₈	—	2	2	no	—
276	C₂×C₈	—	2	2	no	—
277	C₂×C₈	—	2	2	no	—
278	C₂×C₈	#41×C₃₁	1	4	yes	—
279	C₄⋊C₄	—	2	2	no	—
280	C₄⋊C₄	—	2	4	no	—
281	C₄⋊C₄	—	2	4	no	—
282	C₄⋊C₄	—	4	1	no	—
283	C₄⋊C₄	—	4	1	no	—
284	C₄⋊C₄	—	4	2	no	—
285	C₄²	—	2	2	no	—
286	C₄²	—	2	2	no	—
287	C₄²	—	2	2	no	—
288	C₄²	—	2	2	no	—
289	C₄²	—	2	2	no	—
290	C₄²	—	2	2	no	—
291	C₄²	—	2	2	no	—
292	C₄²	—	4	1	no	—
293	C₄²	—	4	1	no	—
294	C₄²	—	4	1	no	—
295	C₄²	#41×C₃₁	1	2	yes	—
296	C₄²	#41×C₃₁	1	2	yes	—
297	C₂³	C₂³×C₄×C₃₁	1	1	yes	characteristic
298	Q₈	—	4	4	no	—
299	C₂×C₄	—	2	1	no	—
300	C₂×C₄	—	2	1	no	—
301	C₂×C₄	—	2	1	no	—
302	C₂×C₄	—	2	1	no	—
303	C₂×C₄	—	2	1	no	—
304	C₂×C₄	—	2	1	no	—
305	C₂×C₄	—	2	2	no	—
306	C₂×C₄	—	2	2	no	—
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	2	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	2	1	no	—
313	C₂×C₄	—	2	2	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	C₃₁×#117	1	2	yes	—
327	C₂×C₄	C₃₁×#117	1	2	yes	—
328	C₂×C₄	C₃₁×#131	1	2	yes	—
329	C₂×C₄	C₂×#41×C₃₁	1	1	yes	characteristic
330	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
331	C₂×C₄	C₂×#41×C₃₁	1	1	yes	characteristic
332	C₂×C₄	C₃₁×2₋¹⁺⁴	1	2	yes	—
333	C₈	—	2	4	no	—
334	C₈	—	4	2	no	—
335	C₈	—	4	2	no	—
336	C₈	—	4	2	no	—
337	C₂²	C₂×C₃₁×#117	1	1	yes	characteristic
338	C₂²	C₄×#41×C₃₁	1	1	yes	characteristic
339	C₂²	C₃₁×#519	1	1	yes	characteristic
340	C₂²	C₂×C₃₁×#131	1	1	yes	characteristic
341	C₂²	C₃₁×#568	1	1	yes	characteristic
342	C₂²	C₃₁×#568	1	1	yes	characteristic
343	C₂²	C₃₁×#568	1	1	yes	characteristic
344	C₄	—	2	2	no	—
345	C₄	—	2	2	no	—
346	C₄	—	2	2	no	—
347	C₄	—	4	2	no	—
348	C₄	—	4	2	no	—
349	C₄	—	4	1	no	—
350	C₄	—	4	2	no	—
351	C₄	—	4	2	no	—
352	C₄	—	4	1	no	—
353	C₄	—	4	1	no	—
354	C₄	C₃₁×#552	1	2	yes	—
355	C₄	C₃₁×#556	1	2	yes	—
356	C₂	C₃₁×#2356	1	1	yes	characteristic
357	C₂	C₃₁×#2921	1	1	yes	characteristic
358	C₂	C₃₁×#2925	1	1	yes	characteristic
359	C₂	C₃₁×#2967	1	1	yes	characteristic
360	C₂	C₃₁×#2968	1	1	yes	characteristic
361	C₂	C₃₁×#2985	1	1	yes	characteristic
362	C₂	C₃₁×#2987	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₃₁	C₂⁴
commutator	C₂³	C₂³×C₄×C₃₁
Frattini, cosocle	C₂²×C₄	C₂⁴×C₃₁
socle, prime radical	C₂³×C₃₁	C₂³×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
115. #22831	C₃₁	direct (N × H)
252. C₃₁	#22831	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃₁×#2295	2
C₃₁×#1985	2
C₃₁×#1917	2
C₃₁×#1916	2
C₃₁×#1840	2
C₃₁×#1831	2
C₃₁×#1771	2
C₃₁×#1767	2
C₃₁×#1746	2
#22831	31

Subgroups — C31×#22831 #21479590

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#22831 #21479590