Subgroups — C₃₁×#19358 #21476117

Order 7936.

608 conjugacy classes of subgroups.

The subgroup lattice has 372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3218	C₂	1	2	yes	maximal
2	C₂×C₃₁×#500	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#2966	C₂	1	1	yes	maximal, characteristic
4	C₃₁×#1694	C₂	1	2	yes	maximal, complemented
5	C₃₁×#1693	C₂	1	2	yes	maximal, complemented
6	C₃₁×#1674	C₂	1	2	yes	maximal, complemented
7	C₃₁×#1673	C₂	1	2	yes	maximal, complemented
8	C₃₁×#1568	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#1556	C₂	1	2	yes	maximal, complemented
10	C₂×C₃₁×C₄⋊Q₈	C₂²	1	2	yes	—
11	C₃₁×#529	C₂²	1	1	yes	characteristic
12	C₃₁×#500	—	2	1	no	—
13	C₃₁×#500	—	2	1	no	—
14	C₃₁×#500	C₂²	1	2	yes	—
15	C₃₁×#500	C₂²	1	2	yes	—
16	C₃₁×#497	—	2	2	no	—
17	C₃₁×#491	—	2	2	no	—
18	C₃₁×#462	C₂²	1	4	yes	—
19	C₃₁×#461	C₂²	1	4	yes	—
20	C₃₁×#451	—	2	2	no	—
21	C₃₁×#448	—	2	2	no	—
22	C₃₁×#446	C₂²	1	1	yes	characteristic
23	C₈×Q₈×C₃₁	C₂²	1	1	yes	characteristic
24	C₃₁×#436	C₂²	1	1	yes	characteristic
25	C₃₁×#435	—	2	1	no	—
26	C₈×D₄×C₃₁	—	2	1	no	—
27	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic
28	C₃₁×#433	—	2	1	no	—
29	C₃₁×#432	C₂²	1	1	yes	characteristic
30	C₃₁×#432	C₂²	1	2	yes	—
31	C₂×C₃₁×#107	—	2	1	no	—
32	C₂×C₃₁×#107	—	2	1	no	—
33	C₃₁×#405	—	2	1	no	—
34	C₂×C₄×C₈×C₃₁	C₂²	1	1	yes	characteristic
35	C₃₁×#335	C₂²	1	2	yes	—
36	C₃₁×#334	C₂²	1	2	yes	—
37	C₃₁×#332	C₂²	1	4	yes	—
38	C₃₁×#332	C₂²	1	4	yes	—
39	C₂²×Q₈×C₃₁	—	2	2	no	—
40	C₂×Q₁₆×C₃₁	—	2	4	no	—
41	C₂×SD₁₆×C₃₁	—	2	4	no	—
42	C₂×M₁₆×C₃₁	—	2	1	no	—
43	C₂²×C₈×C₃₁	—	2	1	no	—
44	C₂²×C₈×C₃₁	D₄	1	1	yes	characteristic
45	C₂²×C₈×C₃₁	D₄	1	1	yes	characteristic
46	C₃₁×C₄⋊Q₈	—	2	2	no	—
47	C₃₁×C₄⋊Q₈	—	2	2	no	—
48	C₃₁×C₄⋊Q₈	—	2	2	no	—
49	C₃₁×C₄⋊Q₈	C₂³	1	4	yes	—
50	C₃₁×#126	—	2	1	no	—
51	C₃₁×#125	D₄	1	1	yes	characteristic
52	C₃₁×#124	D₄	1	1	yes	characteristic
53	C₃₁×#123	—	2	1	no	—
54	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
55	C₃₁×#121	D₄	1	1	yes	characteristic
56	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
57	C₄×D₄×C₃₁	—	2	1	no	—
58	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
59	C₃₁×#117	—	2	1	no	—
60	C₂×C₄⋊C₄×C₃₁	—	2	2	no	—
61	C₂×C₄⋊C₄×C₃₁	—	2	2	no	—
62	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
63	C₃₁×#107	—	2	2	no	—
64	C₃₁×#107	—	2	2	no	—
65	C₃₁×#107	—	2	2	no	—
66	C₃₁×#107	—	2	2	no	—
67	C₃₁×C₄⋊C₈	—	2	1	no	—
68	C₃₁×C₄⋊C₈	—	2	1	no	—
69	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
70	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
71	C₃₁×C₄⋊C₈	C₂³	1	4	yes	—
72	C₃₁×#103	—	2	4	no	—
73	C₃₁×#103	—	2	4	no	—
74	C₃₁×C₂²⋊C₈	—	2	1	no	—
75	C₃₁×C₂²⋊C₈	—	2	2	no	—
76	C₃₁×C₂²⋊C₈	—	2	1	no	—
77	C₃₁×C₂²⋊C₈	—	2	1	no	—
78	C₃₁×#97	—	2	1	no	—
79	C₃₁×#97	—	2	1	no	—
80	C₃₁×#97	—	2	2	no	—
81	C₄×C₈×C₃₁	—	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	4	no	—
87	C₂×Q₈×C₃₁	—	4	2	no	—
88	C₂×Q₈×C₃₁	—	8	4	no	—
89	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
90	C₂×D₄×C₃₁	—	2	1	no	—
91	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₃₁	—	2	1	no	—
93	C₂²×C₄×C₃₁	—	4	2	no	—
94	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
95	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₃₁	#41	1	1	yes	characteristic
97	Q₁₆×C₃₁	—	8	4	no	—
98	SD₁₆×C₃₁	—	8	4	no	—
99	M₁₆×C₃₁	—	4	2	no	—
100	C₂×C₈×C₃₁	—	2	2	no	—
101	C₂×C₈×C₃₁	—	2	2	no	—
102	C₂×C₈×C₃₁	—	2	1	no	—
103	C₂×C₈×C₃₁	—	2	1	no	—
104	C₂×C₈×C₃₁	—	2	4	no	—
105	C₂×C₈×C₃₁	—	4	2	no	—
106	C₂×C₈×C₃₁	C₂×D₄	1	1	yes	characteristic
107	C₂×C₈×C₃₁	C₂×D₄	1	1	yes	characteristic
108	C₂×C₈×C₃₁	C₂×D₄	1	1	yes	characteristic
109	C₂×C₈×C₃₁	C₂×D₄	1	1	yes	characteristic
110	C₄⋊C₄×C₃₁	—	2	1	no	—
111	C₄⋊C₄×C₃₁	—	2	1	no	—
112	C₄⋊C₄×C₃₁	—	2	1	no	—
113	C₄⋊C₄×C₃₁	—	2	1	no	—
114	C₄⋊C₄×C₃₁	—	2	4	no	—
115	C₄⋊C₄×C₃₁	—	2	4	no	—
116	C₄⋊C₄×C₃₁	—	4	2	no	—
117	C₄⋊C₄×C₃₁	—	4	2	no	—
118	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
119	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
120	C₂²⋊C₄×C₃₁	—	2	1	no	—
121	C₂²⋊C₄×C₃₁	—	2	1	no	—
122	C₂²⋊C₄×C₃₁	—	2	1	no	—
123	C₂²⋊C₄×C₃₁	—	2	1	no	—
124	C₂²⋊C₄×C₃₁	—	2	1	no	—
125	C₄²×C₃₁	—	2	1	no	—
126	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
127	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
128	C₄²×C₃₁	#41	1	1	yes	characteristic
129	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
130	#19358	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
131	C₂³×C₃₁	—	2	1	no	—
132	C₂³×C₃₁	#121	1	1	yes	characteristic
133	Q₈×C₃₁	—	2	2	no	—
134	Q₈×C₃₁	—	4	4	no	—
135	Q₈×C₃₁	—	4	4	no	—
136	Q₈×C₃₁	—	8	4	no	—
137	D₄×C₃₁	—	2	2	no	—
138	D₄×C₃₁	—	4	2	no	—
139	C₂×C₄×C₃₁	—	2	2	no	—
140	C₂×C₄×C₃₁	—	2	1	no	—
141	C₂×C₄×C₃₁	—	2	1	no	—
142	C₂×C₄×C₃₁	—	2	2	no	—
143	C₂×C₄×C₃₁	—	2	1	no	—
144	C₂×C₄×C₃₁	—	2	1	no	—
145	C₂×C₄×C₃₁	—	2	1	no	—
146	C₂×C₄×C₃₁	—	4	1	no	—
147	C₂×C₄×C₃₁	—	4	1	no	—
148	C₂×C₄×C₃₁	—	4	4	no	—
149	C₂×C₄×C₃₁	—	8	4	no	—
150	C₂×C₄×C₃₁	#121	1	1	yes	characteristic
151	C₂×C₄×C₃₁	#121	1	1	yes	characteristic
152	C₂×C₄×C₃₁	#121	1	1	yes	characteristic
153	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
154	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
155	C₂×C₄×C₃₁	C₂×#41	1	1	yes	characteristic
156	C₈×C₃₁	—	2	1	no	—
157	C₈×C₃₁	—	2	1	no	—
158	C₈×C₃₁	—	4	1	no	—
159	C₈×C₃₁	—	4	1	no	—
160	C₈×C₃₁	—	4	4	no	—
161	C₈×C₃₁	#137	1	2	yes	—
162	C₈×C₃₁	#137	1	2	yes	—
163	#3218	C₂×C₃₁	1	2	yes	—
164	C₂×#500	C₂×C₃₁	1	1	yes	characteristic, complemented
165	#2966	C₂×C₃₁	1	1	yes	characteristic
166	#1694	C₂×C₃₁	1	2	yes	complemented
167	#1693	C₂×C₃₁	1	2	yes	complemented
168	#1674	C₂×C₃₁	1	2	yes	complemented
169	#1673	C₂×C₃₁	1	2	yes	complemented
170	#1568	C₂×C₃₁	1	1	yes	characteristic, complemented
171	#1556	C₂×C₃₁	1	2	yes	complemented
172	C₂²×C₃₁	—	2	1	no	—
173	C₂²×C₃₁	—	2	1	no	—
174	C₂²×C₃₁	—	4	1	no	—
175	C₂²×C₃₁	—	4	1	no	—
176	C₂²×C₃₁	—	4	1	no	—
177	C₂²×C₃₁	#473	1	2	yes	—
178	C₂²×C₃₁	C₂×#121	1	1	yes	characteristic
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	—	4	1	no	—
184	C₄×C₃₁	—	4	1	no	—
185	C₄×C₃₁	—	4	1	no	—
186	C₄×C₃₁	—	8	4	no	—
187	C₄×C₃₁	C₂×#137	1	1	yes	characteristic
188	C₄×C₃₁	C₂×#137	1	1	yes	characteristic
189	C₄×C₃₁	#576	1	2	yes	—
190	C₂×C₄⋊Q₈	C₂²×C₃₁	1	2	yes	—
191	#529	C₂²×C₃₁	1	1	yes	characteristic
192	#500	—	2	1	no	—
193	#500	—	2	1	no	—
194	#500	C₂²×C₃₁	1	2	yes	—
195	#500	C₂²×C₃₁	1	2	yes	—
196	#497	—	2	2	no	—
197	#491	—	2	2	no	—
198	#462	C₂²×C₃₁	1	4	yes	—
199	#461	C₂²×C₃₁	1	4	yes	—
200	#451	—	2	2	no	—
201	#448	—	2	2	no	—
202	#446	C₂²×C₃₁	1	1	yes	characteristic
203	C₈×Q₈	C₂²×C₃₁	1	1	yes	characteristic
204	#436	C₂²×C₃₁	1	1	yes	characteristic
205	#435	—	2	1	no	—
206	C₈×D₄	—	2	1	no	—
207	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic
208	#433	—	2	1	no	—
209	#432	C₂²×C₃₁	1	1	yes	characteristic
210	#432	C₂²×C₃₁	1	2	yes	—
211	C₂×#107	—	2	1	no	—
212	C₂×#107	—	2	1	no	—
213	#405	—	2	1	no	—
214	C₂×C₄×C₈	C₂²×C₃₁	1	1	yes	characteristic
215	#335	C₂²×C₃₁	1	2	yes	—
216	#334	C₂²×C₃₁	1	2	yes	—
217	#332	C₂²×C₃₁	1	4	yes	—
218	#332	C₂²×C₃₁	1	4	yes	—
219	C₂×C₃₁	—	2	2	no	—
220	C₂×C₃₁	—	8	1	no	—
221	C₂×C₃₁	#3039	1	1	yes	characteristic
222	C₂×C₃₁	#3058	1	1	yes	characteristic
223	C₂×C₃₁	C₂×#473	1	1	yes	characteristic
224	C₂²×Q₈	—	2	2	no	—
225	C₂×Q₁₆	—	2	4	no	—
226	C₂×SD₁₆	—	2	4	no	—
227	C₂×M₁₆	—	2	1	no	—
228	C₂²×C₈	—	2	1	no	—
229	C₂²×C₈	D₄×C₃₁	1	1	yes	characteristic
230	C₂²×C₈	D₄×C₃₁	1	1	yes	characteristic
231	C₄⋊Q₈	—	2	2	no	—
232	C₄⋊Q₈	—	2	2	no	—
233	C₄⋊Q₈	—	2	2	no	—
234	C₄⋊Q₈	C₂³×C₃₁	1	4	yes	—
235	#126	—	2	1	no	—
236	#125	D₄×C₃₁	1	1	yes	characteristic
237	#124	D₄×C₃₁	1	1	yes	characteristic
238	#123	—	2	1	no	—
239	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
240	#121	D₄×C₃₁	1	1	yes	characteristic
241	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
242	C₄×D₄	—	2	1	no	—
243	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
244	#117	—	2	1	no	—
245	C₂×C₄⋊C₄	—	2	2	no	—
246	C₂×C₄⋊C₄	—	2	2	no	—
247	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
248	#107	—	2	2	no	—
249	#107	—	2	2	no	—
250	#107	—	2	2	no	—
251	#107	—	2	2	no	—
252	C₄⋊C₈	—	2	1	no	—
253	C₄⋊C₈	—	2	1	no	—
254	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
255	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
256	C₄⋊C₈	C₂³×C₃₁	1	4	yes	—
257	#103	—	2	4	no	—
258	#103	—	2	4	no	—
259	C₂²⋊C₈	—	2	1	no	—
260	C₂²⋊C₈	—	2	2	no	—
261	C₂²⋊C₈	—	2	1	no	—
262	C₂²⋊C₈	—	2	1	no	—
263	#97	—	2	1	no	—
264	#97	—	2	1	no	—
265	#97	—	2	2	no	—
266	C₄×C₈	—	2	1	no	—
267	C₄×C₈	D₄×C₃₁	1	1	yes	characteristic
268	C₄×C₈	D₄×C₃₁	1	1	yes	characteristic
269	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
270	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
271	C₃₁	#19358	1	1	yes	characteristic, direct product factor, Sylow
272	C₂×Q₈	—	2	4	no	—
273	C₂×Q₈	—	4	2	no	—
274	C₂×Q₈	—	8	4	no	—
275	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
276	C₂×D₄	—	2	1	no	—
277	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
278	C₂²×C₄	—	2	1	no	—
279	C₂²×C₄	—	4	2	no	—
280	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
281	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
282	C₂²×C₄	#41×C₃₁	1	1	yes	characteristic
283	Q₁₆	—	8	4	no	—
284	SD₁₆	—	8	4	no	—
285	M₁₆	—	4	2	no	—
286	C₂×C₈	—	2	2	no	—
287	C₂×C₈	—	2	2	no	—
288	C₂×C₈	—	2	1	no	—
289	C₂×C₈	—	2	1	no	—
290	C₂×C₈	—	2	4	no	—
291	C₂×C₈	—	4	2	no	—
292	C₂×C₈	C₂×D₄×C₃₁	1	1	yes	characteristic
293	C₂×C₈	C₂×D₄×C₃₁	1	1	yes	characteristic
294	C₂×C₈	C₂×D₄×C₃₁	1	1	yes	characteristic
295	C₂×C₈	C₂×D₄×C₃₁	1	1	yes	characteristic
296	C₄⋊C₄	—	2	1	no	—
297	C₄⋊C₄	—	2	1	no	—
298	C₄⋊C₄	—	2	1	no	—
299	C₄⋊C₄	—	2	1	no	—
300	C₄⋊C₄	—	2	4	no	—
301	C₄⋊C₄	—	2	4	no	—
302	C₄⋊C₄	—	4	2	no	—
303	C₄⋊C₄	—	4	2	no	—
304	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
305	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
306	C₂²⋊C₄	—	2	1	no	—
307	C₂²⋊C₄	—	2	1	no	—
308	C₂²⋊C₄	—	2	1	no	—
309	C₂²⋊C₄	—	2	1	no	—
310	C₂²⋊C₄	—	2	1	no	—
311	C₄²	—	2	1	no	—
312	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
313	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
314	C₄²	#41×C₃₁	1	1	yes	characteristic
315	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
316	C₂³	—	2	1	no	—
317	C₂³	C₃₁×#121	1	1	yes	characteristic
318	Q₈	—	2	2	no	—
319	Q₈	—	4	4	no	—
320	Q₈	—	4	4	no	—
321	Q₈	—	8	4	no	—
322	D₄	—	2	2	no	—
323	D₄	—	4	2	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	1	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	2	1	no	—
329	C₂×C₄	—	2	1	no	—
330	C₂×C₄	—	2	1	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	4	4	no	—
334	C₂×C₄	—	8	4	no	—
335	C₂×C₄	C₃₁×#121	1	1	yes	characteristic
336	C₂×C₄	C₃₁×#121	1	1	yes	characteristic
337	C₂×C₄	C₃₁×#121	1	1	yes	characteristic
338	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
339	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
340	C₂×C₄	C₂×#41×C₃₁	1	1	yes	characteristic
341	C₈	—	2	1	no	—
342	C₈	—	2	1	no	—
343	C₈	—	4	1	no	—
344	C₈	—	4	1	no	—
345	C₈	—	4	4	no	—
346	C₈	C₃₁×#137	1	2	yes	—
347	C₈	C₃₁×#137	1	2	yes	—
348	C₂²	—	2	1	no	—
349	C₂²	—	2	1	no	—
350	C₂²	—	4	1	no	—
351	C₂²	—	4	1	no	—
352	C₂²	—	4	1	no	—
353	C₂²	C₃₁×#473	1	2	yes	—
354	C₂²	C₂×C₃₁×#121	1	1	yes	characteristic
355	C₄	—	2	1	no	—
356	C₄	—	2	1	no	—
357	C₄	—	2	1	no	—
358	C₄	—	2	1	no	—
359	C₄	—	4	1	no	—
360	C₄	—	4	1	no	—
361	C₄	—	4	1	no	—
362	C₄	—	8	4	no	—
363	C₄	C₂×C₃₁×#137	1	1	yes	characteristic
364	C₄	C₂×C₃₁×#137	1	1	yes	characteristic
365	C₄	C₃₁×#576	1	2	yes	—
366	C₂	—	2	2	no	—
367	C₂	—	8	1	no	—
368	C₂	C₃₁×#3039	1	1	yes	characteristic
369	C₂	C₃₁×#3058	1	1	yes	characteristic
370	C₂	C₂×C₃₁×#473	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₁	C₂×#121
commutator, Frattini, cosocle	C₄²	C₂⁴×C₃₁
prime radical	C₃₁×#121	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
2. C₂×C₃₁×#500	C₂	semidirect
4. C₃₁×#1694	C₂	semidirect
5. C₃₁×#1693	C₂	semidirect
6. C₃₁×#1674	C₂	semidirect
7. C₃₁×#1673	C₂	semidirect
8. C₃₁×#1568	C₂	semidirect
9. C₃₁×#1556	C₂	semidirect
130. #19358	C₃₁	direct (N × H)
164. C₂×#500	C₂×C₃₁	semidirect
166. #1694	C₂×C₃₁	semidirect
167. #1693	C₂×C₃₁	semidirect
168. #1674	C₂×C₃₁	semidirect
169. #1673	C₂×C₃₁	semidirect
170. #1568	C₂×C₃₁	semidirect
171. #1556	C₂×C₃₁	semidirect
271. C₃₁	#19358	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×#3218	2
C₂×C₃₁×#500	2
C₃₁×#2966	2
C₃₁×#1694	2
C₃₁×#1693	2
C₃₁×#1674	2
C₃₁×#1673	2
C₃₁×#1568	2
C₃₁×#1556	2
#19358	31

Subgroups — C31×#19358 #21476117

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#19358 #21476117