Subgroups — C₃₁×#19281 #21476040

Order 7936.

658 conjugacy classes of subgroups.

The subgroup lattice has 362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3170	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3077	C₂	1	2	yes	maximal
3	C₂×C₃₁×#436	C₂	1	1	yes	maximal, characteristic
4	C₃₁×#1703	C₂	1	4	yes	maximal, complemented
5	C₃₁×#1695	C₂	1	2	yes	maximal, complemented
6	C₃₁×#1689	C₂	1	2	yes	maximal, complemented
7	C₃₁×#1566	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#1550	C₂	1	2	yes	maximal, complemented
9	C₂²×M₁₆×C₃₁	—	2	1	no	—
10	C₃₁×#533	C₂²	1	2	yes	—
11	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
12	C₃₁×#500	C₂²	1	1	yes	characteristic, complemented
13	C₃₁×#494	C₂²	1	1	yes	characteristic, complemented
14	C₃₁×#487	C₂²	1	2	yes	complemented
15	C₃₁×#478	—	2	4	no	—
16	C₃₁×#476	C₂²	1	4	yes	—
17	C₃₁×#474	C₂²	1	4	yes	—
18	C₃₁×#467	—	2	1	no	—
19	C₃₁×#467	—	2	1	no	—
20	C₄×Q₁₆×C₃₁	—	2	1	no	—
21	C₄×Q₁₆×C₃₁	—	2	1	no	—
22	C₃₁×#436	—	2	1	no	—
23	C₃₁×#436	—	2	1	no	—
24	C₃₁×#436	C₂²	1	2	yes	—
25	C₃₁×#436	C₂²	1	2	yes	—
26	C₃₁×#428	—	2	2	no	—
27	C₃₁×#423	C₂²	1	2	yes	—
28	C₂×C₃₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
29	C₃₁×#418	—	2	2	no	—
30	C₂×C₃₁×C₂²⋊C₈	—	2	1	no	—
31	C₂×C₄×C₈×C₃₁	C₂²	1	1	yes	characteristic
32	C₃₁×#334	C₂²	1	2	yes	complemented
33	C₃₁×#334	C₂²	1	2	yes	complemented
34	C₃₁×#333	C₂²	1	4	yes	complemented
35	C₃₁×#332	C₂²	1	4	yes	complemented
36	C₂²×D₄×C₃₁	D₄	1	1	yes	characteristic
37	C₂³×C₄×C₃₁	—	2	1	no	—
38	C₂×Q₁₆×C₃₁	—	2	1	no	—
39	C₂×Q₁₆×C₃₁	—	2	1	no	—
40	C₂×M₁₆×C₃₁	—	2	2	no	—
41	C₂×M₁₆×C₃₁	—	2	2	no	—
42	C₂×M₁₆×C₃₁	—	2	2	no	—
43	C₂×M₁₆×C₃₁	—	4	4	no	—
44	C₂²×C₈×C₃₁	—	2	1	no	—
45	C₂²×C₈×C₃₁	D₄	1	1	yes	characteristic
46	C₂²×C₈×C₃₁	D₄	1	1	yes	characteristic
47	C₃₁×C₄⋊Q₈	C₂³	1	2	yes	—
48	C₃₁×C₄⋊Q₈	C₂³	1	2	yes	—
49	C₃₁×#125	—	2	2	no	—
50	C₃₁×C₂²⋊Q₈	—	2	2	no	—
51	C₃₁×C₂²⋊Q₈	—	2	2	no	—
52	C₄×Q₈×C₃₁	—	2	2	no	—
53	C₄×Q₈×C₃₁	—	2	2	no	—
54	C₄×D₄×C₃₁	—	2	1	no	—
55	C₄×D₄×C₃₁	—	2	1	no	—
56	C₄×D₄×C₃₁	D₄	1	2	yes	—
57	C₄×D₄×C₃₁	C₂³	1	2	yes	—
58	C₃₁×#117	—	2	2	no	—
59	C₂×C₄⋊C₄×C₃₁	D₄	1	1	yes	characteristic
60	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
61	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
62	C₃₁×#107	—	2	1	no	—
63	C₃₁×#107	—	2	1	no	—
64	C₃₁×#107	—	2	4	no	—
65	C₃₁×#106	—	2	4	no	—
66	C₃₁×C₄⋊C₈	—	2	1	no	—
67	C₃₁×C₄⋊C₈	—	2	2	no	—
68	C₃₁×C₄⋊C₈	C₂³	1	2	yes	—
69	C₃₁×C₄⋊C₈	C₂³	1	4	yes	—
70	C₃₁×#103	—	2	2	no	—
71	C₃₁×#103	—	2	2	no	—
72	C₃₁×#102	—	2	4	no	—
73	C₃₁×#102	—	2	4	no	—
74	C₃₁×C₂²⋊C₈	—	2	2	no	—
75	C₃₁×C₂²⋊C₈	—	2	2	no	—
76	C₄×C₈×C₃₁	D₄	1	1	yes	characteristic
77	C₄×C₈×C₃₁	D₄	1	1	yes	characteristic
78	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
79	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
80	C₂⁴×C₃₁	—	2	1	no	—
81	C₂×Q₈×C₃₁	—	2	2	no	—
82	C₂×Q₈×C₃₁	—	2	2	no	—
83	C₂×D₄×C₃₁	—	2	1	no	—
84	C₂×D₄×C₃₁	—	2	4	no	—
85	C₂×D₄×C₃₁	C₂×D₄	1	2	yes	—
86	C₂²×C₄×C₃₁	—	2	1	no	—
87	C₂²×C₄×C₃₁	—	2	2	no	—
88	C₂²×C₄×C₃₁	—	2	2	no	—
89	C₂²×C₄×C₃₁	—	4	2	no	—
90	C₂²×C₄×C₃₁	—	4	2	no	—
91	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₃₁	#41	1	1	yes	characteristic
94	Q₁₆×C₃₁	—	4	2	no	—
95	Q₁₆×C₃₁	—	4	2	no	—
96	M₁₆×C₃₁	—	4	4	no	—
97	M₁₆×C₃₁	—	4	4	no	—
98	M₁₆×C₃₁	—	4	4	no	—
99	C₂×C₈×C₃₁	—	2	2	no	—
100	C₂×C₈×C₃₁	—	2	2	no	—
101	C₂×C₈×C₃₁	—	2	4	no	—
102	C₂×C₈×C₃₁	—	4	1	no	—
103	C₂×C₈×C₃₁	—	4	2	no	—
104	C₂×C₈×C₃₁	C₂×D₄	1	1	yes	characteristic
105	C₂×C₈×C₃₁	C₂×D₄	1	1	yes	characteristic
106	C₂×C₈×C₃₁	C₂×D₄	1	1	yes	characteristic
107	C₂×C₈×C₃₁	C₂×D₄	1	1	yes	characteristic
108	C₄⋊C₄×C₃₁	—	2	1	no	—
109	C₄⋊C₄×C₃₁	—	2	2	no	—
110	C₄⋊C₄×C₃₁	—	2	2	no	—
111	C₄⋊C₄×C₃₁	—	2	2	no	—
112	C₄⋊C₄×C₃₁	—	2	2	no	—
113	C₄⋊C₄×C₃₁	—	4	2	no	—
114	C₄⋊C₄×C₃₁	—	4	2	no	—
115	C₄⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
116	C₂²⋊C₄×C₃₁	—	2	2	no	—
117	C₂²⋊C₄×C₃₁	—	2	2	no	—
118	C₂²⋊C₄×C₃₁	—	4	2	no	—
119	C₄²×C₃₁	—	4	2	no	—
120	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
121	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
122	C₄²×C₃₁	#41	1	1	yes	characteristic
123	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
124	#19281	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
125	C₂³×C₃₁	—	2	2	no	—
126	C₂³×C₃₁	—	4	2	no	—
127	C₂³×C₃₁	—	4	2	no	—
128	C₂³×C₃₁	—	4	2	no	—
129	C₂³×C₃₁	#121	1	1	yes	characteristic
130	Q₈×C₃₁	—	4	2	no	—
131	Q₈×C₃₁	—	4	2	no	—
132	Q₈×C₃₁	—	8	2	no	—
133	D₄×C₃₁	—	2	4	no	—
134	D₄×C₃₁	—	4	2	no	—
135	C₂×C₄×C₃₁	—	2	1	no	—
136	C₂×C₄×C₃₁	—	2	1	no	—
137	C₂×C₄×C₃₁	—	2	2	no	—
138	C₂×C₄×C₃₁	—	4	1	no	—
139	C₂×C₄×C₃₁	—	4	4	no	—
140	C₂×C₄×C₃₁	—	4	2	no	—
141	C₂×C₄×C₃₁	—	4	2	no	—
142	C₂×C₄×C₃₁	—	4	2	no	—
143	C₂×C₄×C₃₁	—	4	2	no	—
144	C₂×C₄×C₃₁	—	4	2	no	—
145	C₂×C₄×C₃₁	#121	1	1	yes	characteristic
146	C₂×C₄×C₃₁	#121	1	1	yes	characteristic
147	C₂×C₄×C₃₁	#121	1	1	yes	characteristic
148	C₂×C₄×C₃₁	#137	1	4	yes	—
149	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
150	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
151	C₂×C₄×C₃₁	C₂×#41	1	1	yes	characteristic
152	C₈×C₃₁	—	2	1	no	—
153	C₈×C₃₁	—	2	1	no	—
154	C₈×C₃₁	—	2	1	no	—
155	C₈×C₃₁	—	4	2	no	—
156	C₈×C₃₁	—	4	4	no	—
157	C₈×C₃₁	AGL(1,ℤ/8)	1	2	yes	—
158	#3170	C₂×C₃₁	1	1	yes	characteristic, complemented
159	#3077	C₂×C₃₁	1	2	yes	—
160	C₂×#436	C₂×C₃₁	1	1	yes	characteristic
161	#1703	C₂×C₃₁	1	4	yes	complemented
162	#1695	C₂×C₃₁	1	2	yes	complemented
163	#1689	C₂×C₃₁	1	2	yes	complemented
164	#1566	C₂×C₃₁	1	1	yes	characteristic, complemented
165	#1550	C₂×C₃₁	1	2	yes	complemented
166	C₂²×C₃₁	—	2	1	no	—
167	C₂²×C₃₁	—	2	1	no	—
168	C₂²×C₃₁	—	4	2	no	—
169	C₂²×C₃₁	—	4	2	no	—
170	C₂²×C₃₁	—	4	2	no	—
171	C₂²×C₃₁	—	8	4	no	—
172	C₂²×C₃₁	#470	1	2	yes	—
173	C₂²×C₃₁	C₂×#121	1	1	yes	characteristic
174	C₄×C₃₁	—	2	1	no	—
175	C₄×C₃₁	—	2	1	no	—
176	C₄×C₃₁	—	2	1	no	—
177	C₄×C₃₁	—	4	2	no	—
178	C₄×C₃₁	—	8	2	no	—
179	C₄×C₃₁	—	8	2	no	—
180	C₄×C₃₁	#470	1	2	yes	—
181	C₄×C₃₁	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
182	C₄×C₃₁	C₂×#137	1	2	yes	—
183	C₄×C₃₁	#575	1	1	yes	characteristic
184	C₂²×M₁₆	—	2	1	no	—
185	#533	C₂²×C₃₁	1	2	yes	—
186	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
187	#500	C₂²×C₃₁	1	1	yes	characteristic, complemented
188	#494	C₂²×C₃₁	1	1	yes	characteristic, complemented
189	#487	C₂²×C₃₁	1	2	yes	complemented
190	#478	—	2	4	no	—
191	#476	C₂²×C₃₁	1	4	yes	—
192	#474	C₂²×C₃₁	1	4	yes	—
193	#467	—	2	1	no	—
194	#467	—	2	1	no	—
195	C₄×Q₁₆	—	2	1	no	—
196	C₄×Q₁₆	—	2	1	no	—
197	#436	—	2	1	no	—
198	#436	—	2	1	no	—
199	#436	C₂²×C₃₁	1	2	yes	—
200	#436	C₂²×C₃₁	1	2	yes	—
201	#428	—	2	2	no	—
202	#423	C₂²×C₃₁	1	2	yes	—
203	C₂×C₄⋊C₈	C₂²×C₃₁	1	1	yes	characteristic
204	#418	—	2	2	no	—
205	C₂×C₂²⋊C₈	—	2	1	no	—
206	C₂×C₄×C₈	C₂²×C₃₁	1	1	yes	characteristic
207	#334	C₂²×C₃₁	1	2	yes	complemented
208	#334	C₂²×C₃₁	1	2	yes	complemented
209	#333	C₂²×C₃₁	1	4	yes	complemented
210	#332	C₂²×C₃₁	1	4	yes	complemented
211	C₂×C₃₁	—	2	2	no	—
212	C₂×C₃₁	—	8	2	no	—
213	C₂×C₃₁	#3036	1	1	yes	characteristic
214	C₂×C₃₁	C₂×#470	1	1	yes	characteristic
215	C₂×C₃₁	#3067	1	1	yes	characteristic
216	C₂²×D₄	D₄×C₃₁	1	1	yes	characteristic
217	C₂³×C₄	—	2	1	no	—
218	C₂×Q₁₆	—	2	1	no	—
219	C₂×Q₁₆	—	2	1	no	—
220	C₂×M₁₆	—	2	2	no	—
221	C₂×M₁₆	—	2	2	no	—
222	C₂×M₁₆	—	2	2	no	—
223	C₂×M₁₆	—	4	4	no	—
224	C₂²×C₈	—	2	1	no	—
225	C₂²×C₈	D₄×C₃₁	1	1	yes	characteristic
226	C₂²×C₈	D₄×C₃₁	1	1	yes	characteristic
227	C₄⋊Q₈	C₂³×C₃₁	1	2	yes	—
228	C₄⋊Q₈	C₂³×C₃₁	1	2	yes	—
229	#125	—	2	2	no	—
230	C₂²⋊Q₈	—	2	2	no	—
231	C₂²⋊Q₈	—	2	2	no	—
232	C₄×Q₈	—	2	2	no	—
233	C₄×Q₈	—	2	2	no	—
234	C₄×D₄	—	2	1	no	—
235	C₄×D₄	—	2	1	no	—
236	C₄×D₄	D₄×C₃₁	1	2	yes	—
237	C₄×D₄	C₂³×C₃₁	1	2	yes	—
238	#117	—	2	2	no	—
239	C₂×C₄⋊C₄	D₄×C₃₁	1	1	yes	characteristic
240	C₂×C₂²⋊C₄	—	2	1	no	—
241	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
242	#107	—	2	1	no	—
243	#107	—	2	1	no	—
244	#107	—	2	4	no	—
245	#106	—	2	4	no	—
246	C₄⋊C₈	—	2	1	no	—
247	C₄⋊C₈	—	2	2	no	—
248	C₄⋊C₈	C₂³×C₃₁	1	2	yes	—
249	C₄⋊C₈	C₂³×C₃₁	1	4	yes	—
250	#103	—	2	2	no	—
251	#103	—	2	2	no	—
252	#102	—	2	4	no	—
253	#102	—	2	4	no	—
254	C₂²⋊C₈	—	2	2	no	—
255	C₂²⋊C₈	—	2	2	no	—
256	C₄×C₈	D₄×C₃₁	1	1	yes	characteristic
257	C₄×C₈	D₄×C₃₁	1	1	yes	characteristic
258	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
259	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
260	C₃₁	#19281	1	1	yes	characteristic, direct product factor, Sylow
261	C₂⁴	—	2	1	no	—
262	C₂×Q₈	—	2	2	no	—
263	C₂×Q₈	—	2	2	no	—
264	C₂×D₄	—	2	1	no	—
265	C₂×D₄	—	2	4	no	—
266	C₂×D₄	C₂×D₄×C₃₁	1	2	yes	—
267	C₂²×C₄	—	2	1	no	—
268	C₂²×C₄	—	2	2	no	—
269	C₂²×C₄	—	2	2	no	—
270	C₂²×C₄	—	4	2	no	—
271	C₂²×C₄	—	4	2	no	—
272	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
273	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
274	C₂²×C₄	#41×C₃₁	1	1	yes	characteristic
275	Q₁₆	—	4	2	no	—
276	Q₁₆	—	4	2	no	—
277	M₁₆	—	4	4	no	—
278	M₁₆	—	4	4	no	—
279	M₁₆	—	4	4	no	—
280	C₂×C₈	—	2	2	no	—
281	C₂×C₈	—	2	2	no	—
282	C₂×C₈	—	2	4	no	—
283	C₂×C₈	—	4	1	no	—
284	C₂×C₈	—	4	2	no	—
285	C₂×C₈	C₂×D₄×C₃₁	1	1	yes	characteristic
286	C₂×C₈	C₂×D₄×C₃₁	1	1	yes	characteristic
287	C₂×C₈	C₂×D₄×C₃₁	1	1	yes	characteristic
288	C₂×C₈	C₂×D₄×C₃₁	1	1	yes	characteristic
289	C₄⋊C₄	—	2	1	no	—
290	C₄⋊C₄	—	2	2	no	—
291	C₄⋊C₄	—	2	2	no	—
292	C₄⋊C₄	—	2	2	no	—
293	C₄⋊C₄	—	2	2	no	—
294	C₄⋊C₄	—	4	2	no	—
295	C₄⋊C₄	—	4	2	no	—
296	C₄⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
297	C₂²⋊C₄	—	2	2	no	—
298	C₂²⋊C₄	—	2	2	no	—
299	C₂²⋊C₄	—	4	2	no	—
300	C₄²	—	4	2	no	—
301	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
302	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
303	C₄²	#41×C₃₁	1	1	yes	characteristic
304	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
305	C₂³	—	2	2	no	—
306	C₂³	—	4	2	no	—
307	C₂³	—	4	2	no	—
308	C₂³	—	4	2	no	—
309	C₂³	C₃₁×#121	1	1	yes	characteristic
310	Q₈	—	4	2	no	—
311	Q₈	—	4	2	no	—
312	Q₈	—	8	2	no	—
313	D₄	—	2	4	no	—
314	D₄	—	4	2	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	4	1	no	—
319	C₂×C₄	—	4	4	no	—
320	C₂×C₄	—	4	2	no	—
321	C₂×C₄	—	4	2	no	—
322	C₂×C₄	—	4	2	no	—
323	C₂×C₄	—	4	2	no	—
324	C₂×C₄	—	4	2	no	—
325	C₂×C₄	C₃₁×#121	1	1	yes	characteristic
326	C₂×C₄	C₃₁×#121	1	1	yes	characteristic
327	C₂×C₄	C₃₁×#121	1	1	yes	characteristic
328	C₂×C₄	C₃₁×#137	1	4	yes	—
329	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
330	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
331	C₂×C₄	C₂×#41×C₃₁	1	1	yes	characteristic
332	C₈	—	2	1	no	—
333	C₈	—	2	1	no	—
334	C₈	—	2	1	no	—
335	C₈	—	4	2	no	—
336	C₈	—	4	4	no	—
337	C₈	C₃₁×AGL(1,ℤ/8)	1	2	yes	—
338	C₂²	—	2	1	no	—
339	C₂²	—	2	1	no	—
340	C₂²	—	4	2	no	—
341	C₂²	—	4	2	no	—
342	C₂²	—	4	2	no	—
343	C₂²	—	8	4	no	—
344	C₂²	C₃₁×#470	1	2	yes	—
345	C₂²	C₂×C₃₁×#121	1	1	yes	characteristic
346	C₄	—	2	1	no	—
347	C₄	—	2	1	no	—
348	C₄	—	2	1	no	—
349	C₄	—	4	2	no	—
350	C₄	—	8	2	no	—
351	C₄	—	8	2	no	—
352	C₄	C₃₁×#470	1	2	yes	—
353	C₄	C₂×C₃₁×AGL(1,ℤ/8)	1	1	yes	characteristic
354	C₄	C₂×C₃₁×#137	1	2	yes	—
355	C₄	C₃₁×#575	1	1	yes	characteristic
356	C₂	—	2	2	no	—
357	C₂	—	8	2	no	—
358	C₂	C₃₁×#3036	1	1	yes	characteristic
359	C₂	C₂×C₃₁×#470	1	1	yes	characteristic
360	C₂	C₃₁×#3067	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₁	C₂×#121
commutator, Frattini, cosocle	C₄²	C₂⁴×C₃₁
prime radical	C₂²×D₄×C₃₁	D₄
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₃₁ ◁ C₂×C₄²×C₃₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3170	C₂	semidirect
4. C₃₁×#1703	C₂	semidirect
5. C₃₁×#1695	C₂	semidirect
6. C₃₁×#1689	C₂	semidirect
7. C₃₁×#1566	C₂	semidirect
8. C₃₁×#1550	C₂	semidirect
12. C₃₁×#500	C₂²	semidirect
13. C₃₁×#494	C₂²	semidirect
14. C₃₁×#487	C₂²	semidirect
32. C₃₁×#334	C₂²	semidirect
33. C₃₁×#334	C₂²	semidirect
34. C₃₁×#333	C₂²	semidirect
35. C₃₁×#332	C₂²	semidirect
124. #19281	C₃₁	direct (N × H)
158. #3170	C₂×C₃₁	semidirect
161. #1703	C₂×C₃₁	semidirect
162. #1695	C₂×C₃₁	semidirect
163. #1689	C₂×C₃₁	semidirect
164. #1566	C₂×C₃₁	semidirect
165. #1550	C₂×C₃₁	semidirect
187. #500	C₂²×C₃₁	semidirect
188. #494	C₂²×C₃₁	semidirect
189. #487	C₂²×C₃₁	semidirect
207. #334	C₂²×C₃₁	semidirect
208. #334	C₂²×C₃₁	semidirect
209. #333	C₂²×C₃₁	semidirect
210. #332	C₂²×C₃₁	semidirect
260. C₃₁	#19281	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×#3170	2
C₃₁×#3077	2
C₂×C₃₁×#436	2
C₃₁×#1703	2
C₃₁×#1695	2
C₃₁×#1689	2
C₃₁×#1566	2
C₃₁×#1550	2
#19281	31

Subgroups — C31×#19281 #21476040

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#19281 #21476040