Subgroups — C₃₁×#33806 #21490565

Order 7936.

462 conjugacy classes of subgroups.

The subgroup lattice has 368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3168	C₂	1	1	yes	maximal, characteristic
2	C₃₁×#3160	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#2255	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#2255	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#2243	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#2243	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#2237	C₂	1	2	yes	maximal, complemented
8	C₃₁×#2234	C₂	1	2	yes	maximal
9	C₃₁×#2229	C₂	1	2	yes	maximal, complemented
10	C₃₁×#2228	C₂	1	2	yes	maximal, complemented
11	C₃₁×#2163	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#533	—	2	1	no	—
13	C₃₁×#529	—	2	1	no	—
14	C₃₁×#500	C₂²	1	1	yes	characteristic
15	C₃₁×#500	C₂²	1	1	yes	characteristic
16	C₃₁×#499	—	2	1	no	—
17	C₃₁×#499	C₂²	1	2	yes	—
18	C₃₁×#499	C₂²	1	1	yes	characteristic
19	C₃₁×#498	—	2	1	no	—
20	C₃₁×#495	C₂²	1	1	yes	characteristic
21	C₃₁×#488	—	2	1	no	—
22	C₃₁×#467	C₂²	1	1	yes	characteristic
23	C₃₁×#466	C₂²	1	1	yes	characteristic
24	C₃₁×#465	—	2	1	no	—
25	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
26	C₄×SD₁₆×C₃₁	—	2	1	no	—
27	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic
28	C₃₁×#427	—	2	1	no	—
29	C₃₁×#427	C₂²	1	2	yes	—
30	C₂×C₄×C₈×C₃₁	C₂²	1	1	yes	characteristic
31	C₃₁×#367	C₂²	1	2	yes	—
32	C₃₁×#367	C₂²	1	2	yes	—
33	C₃₁×#366	C₂²	1	2	yes	—
34	C₃₁×#366	C₂²	1	2	yes	—
35	C₃₁×C₄⋊C₁₆	C₂²	1	2	yes	—
36	C₃₁×#358	C₂²	1	2	yes	—
37	C₃₁×#358	C₂²	1	2	yes	—
38	C₃₁×#357	C₂²	1	2	yes	—
39	C₃₁×#357	C₂²	1	2	yes	—
40	C₃₁×C₂²⋊C₁₆	C₂²	1	2	yes	—
41	C₃₁×#346	C₂²	1	1	yes	characteristic
42	C₃₁×#346	C₂²	1	1	yes	characteristic
43	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
44	C₂×SD₁₆×C₃₁	—	2	1	no	—
45	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
46	C₂²×C₈×C₃₁	D₄	1	1	yes	characteristic
47	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
48	C₃₁×C₄⋊Q₈	—	2	1	no	—
49	C₃₁×C₄⋊Q₈	—	2	1	no	—
50	C₃₁×#126	—	4	1	no	—
51	C₃₁×#125	—	2	1	no	—
52	C₃₁×#125	—	2	2	no	—
53	C₃₁×#124	—	2	1	no	—
54	C₃₁×#123	—	4	1	no	—
55	C₃₁×C₂²⋊Q₈	—	2	1	no	—
56	C₃₁×C₂²⋊Q₈	—	4	1	no	—
57	C₃₁×C₂²⋊Q₈	—	4	1	no	—
58	C₃₁×#121	—	2	1	no	—
59	C₄×Q₈×C₃₁	—	2	1	no	—
60	C₄×Q₈×C₃₁	—	4	1	no	—
61	C₄×Q₈×C₃₁	—	4	1	no	—
62	C₄×D₄×C₃₁	—	2	1	no	—
63	C₄×D₄×C₃₁	—	4	1	no	—
64	C₃₁×#117	—	2	2	no	—
65	C₃₁×#117	—	4	1	no	—
66	C₂×C₄²×C₃₁	D₄	1	1	yes	characteristic
67	C₂×C₁₆×C₃₁	C₂³	1	2	yes	—
68	C₂×C₁₆×C₃₁	C₂³	1	2	yes	—
69	C₃₁×#107	—	2	1	no	—
70	C₃₁×#107	—	2	1	no	—
71	C₃₁×#107	C₂³	1	2	yes	—
72	C₃₁×#107	C₂³	1	2	yes	—
73	C₃₁×#107	C₂³	1	1	yes	characteristic
74	C₃₁×#107	C₂³	1	1	yes	characteristic
75	C₃₁×#106	—	2	2	no	—
76	C₃₁×#106	—	2	2	no	—
77	C₃₁×#106	—	2	1	no	—
78	C₃₁×#103	—	2	1	no	—
79	C₃₁×#103	—	2	1	no	—
80	C₃₁×#102	—	2	1	no	—
81	C₃₁×#102	—	2	1	no	—
82	C₄×C₈×C₃₁	D₄	1	1	yes	characteristic
83	C₄×C₈×C₃₁	D₄	1	1	yes	characteristic
84	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
85	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
86	C₂×Q₈×C₃₁	—	2	1	no	—
87	C₂×Q₈×C₃₁	—	4	1	no	—
88	C₂×Q₈×C₃₁	—	4	1	no	—
89	C₂×D₄×C₃₁	—	2	1	no	—
90	C₂×D₄×C₃₁	—	4	1	no	—
91	C₂²×C₄×C₃₁	—	4	1	no	—
92	C₂²×C₄×C₃₁	D₈	1	1	yes	characteristic
93	C₂²×C₄×C₃₁	D₈	1	1	yes	characteristic
94	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
95	Q₁₆×C₃₁	—	2	2	no	—
96	SD₁₆×C₃₁	—	4	2	no	—
97	D₈×C₃₁	—	2	2	no	—
98	C₂×C₈×C₃₁	—	2	2	no	—
99	C₂×C₈×C₃₁	—	2	2	no	—
100	C₂×C₈×C₃₁	C₂×D₄	1	1	yes	characteristic
101	C₂×C₈×C₃₁	C₂×D₄	1	1	yes	characteristic
102	C₂×C₈×C₃₁	C₂×D₄	1	1	yes	characteristic
103	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
104	C₄⋊C₄×C₃₁	—	2	1	no	—
105	C₄⋊C₄×C₃₁	—	2	1	no	—
106	C₄⋊C₄×C₃₁	—	2	2	no	—
107	C₄⋊C₄×C₃₁	—	2	2	no	—
108	C₄⋊C₄×C₃₁	—	4	1	no	—
109	C₄⋊C₄×C₃₁	—	4	1	no	—
110	C₄⋊C₄×C₃₁	—	4	1	no	—
111	C₄⋊C₄×C₃₁	—	4	1	no	—
112	C₄⋊C₄×C₃₁	—	4	2	no	—
113	C₄⋊C₄×C₃₁	—	4	2	no	—
114	C₄⋊C₄×C₃₁	—	4	1	no	—
115	C₄⋊C₄×C₃₁	—	4	1	no	—
116	C₂²⋊C₄×C₃₁	—	4	2	no	—
117	C₂²⋊C₄×C₃₁	—	4	1	no	—
118	C₂²⋊C₄×C₃₁	—	4	1	no	—
119	C₂²⋊C₄×C₃₁	—	4	1	no	—
120	C₂²⋊C₄×C₃₁	—	4	1	no	—
121	C₂²⋊C₄×C₃₁	—	4	1	no	—
122	C₄²×C₃₁	—	4	2	no	—
123	C₄²×C₃₁	—	4	1	no	—
124	C₄²×C₃₁	D₈	1	1	yes	characteristic
125	C₄²×C₃₁	D₈	1	1	yes	characteristic
126	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
127	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
128	C₁₆×C₃₁	—	2	2	no	—
129	C₁₆×C₃₁	—	2	2	no	—
130	#33806	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
131	C₂³×C₃₁	—	4	1	no	—
132	C₂³×C₃₁	C₂×D₈	1	1	yes	characteristic
133	Q₈×C₃₁	—	4	1	no	—
134	Q₈×C₃₁	—	4	1	no	—
135	Q₈×C₃₁	—	8	2	no	—
136	Q₈×C₃₁	—	8	2	no	—
137	D₄×C₃₁	—	4	1	no	—
138	D₄×C₃₁	—	4	1	no	—
139	D₄×C₃₁	—	8	2	no	—
140	C₂×C₄×C₃₁	—	2	1	no	—
141	C₂×C₄×C₃₁	—	2	1	no	—
142	C₂×C₄×C₃₁	—	4	1	no	—
143	C₂×C₄×C₃₁	—	4	1	no	—
144	C₂×C₄×C₃₁	—	4	1	no	—
145	C₂×C₄×C₃₁	—	4	1	no	—
146	C₂×C₄×C₃₁	—	4	2	no	—
147	C₂×C₄×C₃₁	—	4	2	no	—
148	C₂×C₄×C₃₁	—	4	1	no	—
149	C₂×C₄×C₃₁	—	8	2	no	—
150	C₂×C₄×C₃₁	C₂×D₈	1	1	yes	characteristic
151	C₂×C₄×C₃₁	C₂×D₈	1	1	yes	characteristic
152	C₂×C₄×C₃₁	C₂×D₈	1	1	yes	characteristic
153	C₂×C₄×C₃₁	C₂×D₈	1	1	yes	characteristic
154	C₂×C₄×C₃₁	C₂×D₈	1	1	yes	characteristic
155	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
156	C₈×C₃₁	—	2	1	no	—
157	C₈×C₃₁	—	2	1	no	—
158	C₈×C₃₁	#137	1	2	yes	—
159	C₈×C₃₁	2₋¹⁺⁴	1	2	yes	—
160	#3168	C₂×C₃₁	1	1	yes	characteristic
161	#3160	C₂×C₃₁	1	1	yes	characteristic, complemented
162	#2255	C₂×C₃₁	1	1	yes	characteristic, complemented
163	#2255	C₂×C₃₁	1	1	yes	characteristic, complemented
164	#2243	C₂×C₃₁	1	1	yes	characteristic, complemented
165	#2243	C₂×C₃₁	1	1	yes	characteristic, complemented
166	#2237	C₂×C₃₁	1	2	yes	complemented
167	#2234	C₂×C₃₁	1	2	yes	—
168	#2229	C₂×C₃₁	1	2	yes	complemented
169	#2228	C₂×C₃₁	1	2	yes	complemented
170	#2163	C₂×C₃₁	1	1	yes	characteristic, complemented
171	C₂²×C₃₁	—	2	1	no	—
172	C₂²×C₃₁	—	2	1	no	—
173	C₂²×C₃₁	—	2	1	no	—
174	C₂²×C₃₁	—	8	1	no	—
175	C₂²×C₃₁	—	8	1	no	—
176	C₂²×C₃₁	—	8	1	no	—
177	C₂²×C₃₁	C₂²×D₈	1	1	yes	characteristic
178	C₄×C₃₁	—	2	1	no	—
179	C₄×C₃₁	—	2	1	no	—
180	C₄×C₃₁	—	2	1	no	—
181	C₄×C₃₁	—	2	1	no	—
182	C₄×C₃₁	—	2	1	no	—
183	C₄×C₃₁	—	8	1	no	—
184	C₄×C₃₁	—	8	1	no	—
185	C₄×C₃₁	—	8	2	no	—
186	C₄×C₃₁	—	8	2	no	—
187	C₄×C₃₁	—	8	1	no	—
188	C₄×C₃₁	#536	1	1	yes	characteristic
189	C₄×C₃₁	C₂×#137	1	1	yes	characteristic
190	#533	—	2	1	no	—
191	#529	—	2	1	no	—
192	#500	C₂²×C₃₁	1	1	yes	characteristic
193	#500	C₂²×C₃₁	1	1	yes	characteristic
194	#499	—	2	1	no	—
195	#499	C₂²×C₃₁	1	2	yes	—
196	#499	C₂²×C₃₁	1	1	yes	characteristic
197	#498	—	2	1	no	—
198	#495	C₂²×C₃₁	1	1	yes	characteristic
199	#488	—	2	1	no	—
200	#467	C₂²×C₃₁	1	1	yes	characteristic
201	#466	C₂²×C₃₁	1	1	yes	characteristic
202	#465	—	2	1	no	—
203	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
204	C₄×SD₁₆	—	2	1	no	—
205	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic
206	#427	—	2	1	no	—
207	#427	C₂²×C₃₁	1	2	yes	—
208	C₂×C₄×C₈	C₂²×C₃₁	1	1	yes	characteristic
209	#367	C₂²×C₃₁	1	2	yes	—
210	#367	C₂²×C₃₁	1	2	yes	—
211	#366	C₂²×C₃₁	1	2	yes	—
212	#366	C₂²×C₃₁	1	2	yes	—
213	C₄⋊C₁₆	C₂²×C₃₁	1	2	yes	—
214	#358	C₂²×C₃₁	1	2	yes	—
215	#358	C₂²×C₃₁	1	2	yes	—
216	#357	C₂²×C₃₁	1	2	yes	—
217	#357	C₂²×C₃₁	1	2	yes	—
218	C₂²⋊C₁₆	C₂²×C₃₁	1	2	yes	—
219	#346	C₂²×C₃₁	1	1	yes	characteristic
220	#346	C₂²×C₃₁	1	1	yes	characteristic
221	C₂×C₃₁	—	4	1	no	—
222	C₂×C₃₁	—	16	1	no	—
223	C₂×C₃₁	#3226	1	1	yes	characteristic
224	C₂×C₃₁	#3414	1	1	yes	characteristic
225	C₂×C₃₁	#3414	1	1	yes	characteristic
226	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
227	C₂×SD₁₆	—	2	1	no	—
228	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
229	C₂²×C₈	D₄×C₃₁	1	1	yes	characteristic
230	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
231	C₄⋊Q₈	—	2	1	no	—
232	C₄⋊Q₈	—	2	1	no	—
233	#126	—	4	1	no	—
234	#125	—	2	1	no	—
235	#125	—	2	2	no	—
236	#124	—	2	1	no	—
237	#123	—	4	1	no	—
238	C₂²⋊Q₈	—	2	1	no	—
239	C₂²⋊Q₈	—	4	1	no	—
240	C₂²⋊Q₈	—	4	1	no	—
241	#121	—	2	1	no	—
242	C₄×Q₈	—	2	1	no	—
243	C₄×Q₈	—	4	1	no	—
244	C₄×Q₈	—	4	1	no	—
245	C₄×D₄	—	2	1	no	—
246	C₄×D₄	—	4	1	no	—
247	#117	—	2	2	no	—
248	#117	—	4	1	no	—
249	C₂×C₄²	D₄×C₃₁	1	1	yes	characteristic
250	C₂×C₁₆	C₂³×C₃₁	1	2	yes	—
251	C₂×C₁₆	C₂³×C₃₁	1	2	yes	—
252	#107	—	2	1	no	—
253	#107	—	2	1	no	—
254	#107	C₂³×C₃₁	1	2	yes	—
255	#107	C₂³×C₃₁	1	2	yes	—
256	#107	C₂³×C₃₁	1	1	yes	characteristic
257	#107	C₂³×C₃₁	1	1	yes	characteristic
258	#106	—	2	2	no	—
259	#106	—	2	2	no	—
260	#106	—	2	1	no	—
261	#103	—	2	1	no	—
262	#103	—	2	1	no	—
263	#102	—	2	1	no	—
264	#102	—	2	1	no	—
265	C₄×C₈	D₄×C₃₁	1	1	yes	characteristic
266	C₄×C₈	D₄×C₃₁	1	1	yes	characteristic
267	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
268	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
269	C₃₁	#33806	1	1	yes	characteristic, direct product factor, Sylow
270	C₂×Q₈	—	2	1	no	—
271	C₂×Q₈	—	4	1	no	—
272	C₂×Q₈	—	4	1	no	—
273	C₂×D₄	—	2	1	no	—
274	C₂×D₄	—	4	1	no	—
275	C₂²×C₄	—	4	1	no	—
276	C₂²×C₄	D₈×C₃₁	1	1	yes	characteristic
277	C₂²×C₄	D₈×C₃₁	1	1	yes	characteristic
278	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
279	Q₁₆	—	2	2	no	—
280	SD₁₆	—	4	2	no	—
281	D₈	—	2	2	no	—
282	C₂×C₈	—	2	2	no	—
283	C₂×C₈	—	2	2	no	—
284	C₂×C₈	C₂×D₄×C₃₁	1	1	yes	characteristic
285	C₂×C₈	C₂×D₄×C₃₁	1	1	yes	characteristic
286	C₂×C₈	C₂×D₄×C₃₁	1	1	yes	characteristic
287	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
288	C₄⋊C₄	—	2	1	no	—
289	C₄⋊C₄	—	2	1	no	—
290	C₄⋊C₄	—	2	2	no	—
291	C₄⋊C₄	—	2	2	no	—
292	C₄⋊C₄	—	4	1	no	—
293	C₄⋊C₄	—	4	1	no	—
294	C₄⋊C₄	—	4	1	no	—
295	C₄⋊C₄	—	4	1	no	—
296	C₄⋊C₄	—	4	2	no	—
297	C₄⋊C₄	—	4	2	no	—
298	C₄⋊C₄	—	4	1	no	—
299	C₄⋊C₄	—	4	1	no	—
300	C₂²⋊C₄	—	4	2	no	—
301	C₂²⋊C₄	—	4	1	no	—
302	C₂²⋊C₄	—	4	1	no	—
303	C₂²⋊C₄	—	4	1	no	—
304	C₂²⋊C₄	—	4	1	no	—
305	C₂²⋊C₄	—	4	1	no	—
306	C₄²	—	4	2	no	—
307	C₄²	—	4	1	no	—
308	C₄²	D₈×C₃₁	1	1	yes	characteristic
309	C₄²	D₈×C₃₁	1	1	yes	characteristic
310	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
311	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
312	C₁₆	—	2	2	no	—
313	C₁₆	—	2	2	no	—
314	C₂³	—	4	1	no	—
315	C₂³	C₂×D₈×C₃₁	1	1	yes	characteristic
316	Q₈	—	4	1	no	—
317	Q₈	—	4	1	no	—
318	Q₈	—	8	2	no	—
319	Q₈	—	8	2	no	—
320	D₄	—	4	1	no	—
321	D₄	—	4	1	no	—
322	D₄	—	8	2	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	4	1	no	—
326	C₂×C₄	—	4	1	no	—
327	C₂×C₄	—	4	1	no	—
328	C₂×C₄	—	4	1	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	8	2	no	—
333	C₂×C₄	C₂×D₈×C₃₁	1	1	yes	characteristic
334	C₂×C₄	C₂×D₈×C₃₁	1	1	yes	characteristic
335	C₂×C₄	C₂×D₈×C₃₁	1	1	yes	characteristic
336	C₂×C₄	C₂×D₈×C₃₁	1	1	yes	characteristic
337	C₂×C₄	C₂×D₈×C₃₁	1	1	yes	characteristic
338	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
339	C₈	—	2	1	no	—
340	C₈	—	2	1	no	—
341	C₈	C₃₁×#137	1	2	yes	—
342	C₈	C₃₁×2₋¹⁺⁴	1	2	yes	—
343	C₂²	—	2	1	no	—
344	C₂²	—	2	1	no	—
345	C₂²	—	2	1	no	—
346	C₂²	—	8	1	no	—
347	C₂²	—	8	1	no	—
348	C₂²	—	8	1	no	—
349	C₂²	C₂²×D₈×C₃₁	1	1	yes	characteristic
350	C₄	—	2	1	no	—
351	C₄	—	2	1	no	—
352	C₄	—	2	1	no	—
353	C₄	—	2	1	no	—
354	C₄	—	2	1	no	—
355	C₄	—	8	1	no	—
356	C₄	—	8	1	no	—
357	C₄	—	8	2	no	—
358	C₄	—	8	2	no	—
359	C₄	—	8	1	no	—
360	C₄	C₃₁×#536	1	1	yes	characteristic
361	C₄	C₂×C₃₁×#137	1	1	yes	characteristic
362	C₂	—	4	1	no	—
363	C₂	—	16	1	no	—
364	C₂	C₃₁×#3226	1	1	yes	characteristic
365	C₂	C₃₁×#3414	1	1	yes	characteristic
366	C₂	C₃₁×#3414	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₁	C₂²×D₈
commutator, Frattini, cosocle	C₂×C₈	C₂⁴×C₃₁
prime radical	C₃₁×#466	C₂²
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₁ ◁ C₂×C₄²×C₃₁ ◁ C₂×C₄×C₈×C₃₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₃₁×#3160	C₂	semidirect
3. C₃₁×#2255	C₂	semidirect
4. C₃₁×#2255	C₂	semidirect
5. C₃₁×#2243	C₂	semidirect
6. C₃₁×#2243	C₂	semidirect
7. C₃₁×#2237	C₂	semidirect
9. C₃₁×#2229	C₂	semidirect
10. C₃₁×#2228	C₂	semidirect
11. C₃₁×#2163	C₂	semidirect
130. #33806	C₃₁	direct (N × H)
161. #3160	C₂×C₃₁	semidirect
162. #2255	C₂×C₃₁	semidirect
163. #2255	C₂×C₃₁	semidirect
164. #2243	C₂×C₃₁	semidirect
165. #2243	C₂×C₃₁	semidirect
166. #2237	C₂×C₃₁	semidirect
168. #2229	C₂×C₃₁	semidirect
169. #2228	C₂×C₃₁	semidirect
170. #2163	C₂×C₃₁	semidirect
269. C₃₁	#33806	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×#3168	2
C₃₁×#3160	2
C₃₁×#2255	2
C₃₁×#2243	2
C₃₁×#2237	2
C₃₁×#2234	2
C₃₁×#2229	2
C₃₁×#2228	2
C₃₁×#2163	2
#33806	31

Subgroups — C31×#33806 #21490565

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#33806 #21490565