Subgroups — C₃₁×#19261 #21476020

Order 7936.

710 conjugacy classes of subgroups.

The subgroup lattice has 370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3169	C₂	1	1	yes	maximal, characteristic
2	C₃₁×#3037	C₂	1	2	yes	maximal, complemented
3	C₂×C₈×Q₈×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#1682	C₂	1	4	yes	maximal, complemented
5	C₃₁×#1674	C₂	1	2	yes	maximal, complemented
6	C₃₁×#1668	C₂	1	2	yes	maximal, complemented
7	C₃₁×#1567	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#1547	C₂	1	2	yes	maximal, complemented
9	C₂×C₃₁×#137	—	2	2	no	—
10	C₃₁×#532	C₂²	1	2	yes	—
11	C₂×C₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
12	C₃₁×#500	C₂²	1	1	yes	characteristic
13	C₃₁×#493	C₂²	1	1	yes	characteristic
14	C₃₁×#486	C₂²	1	2	yes	—
15	C₃₁×#466	—	2	1	no	—
16	C₃₁×#466	—	2	1	no	—
17	C₃₁×#464	—	2	4	no	—
18	C₃₁×#462	C₂²	1	4	yes	—
19	C₃₁×#460	C₂²	1	4	yes	—
20	C₈×Q₈×C₃₁	—	2	1	no	—
21	C₈×Q₈×C₃₁	—	2	1	no	—
22	C₈×Q₈×C₃₁	C₂²	1	2	yes	—
23	C₈×Q₈×C₃₁	C₂²	1	2	yes	—
24	C₄×D₈×C₃₁	—	2	1	no	—
25	C₄×D₈×C₃₁	—	2	1	no	—
26	C₃₁×#423	C₂²	1	2	yes	—
27	C₂×C₃₁×C₄⋊C₈	—	2	1	no	—
28	C₂×C₃₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
29	C₃₁×#417	—	2	2	no	—
30	C₂×C₄×C₈×C₃₁	—	2	1	no	—
31	C₂×C₄×C₈×C₃₁	C₂²	1	1	yes	characteristic
32	C₃₁×#335	C₂²	1	2	yes	—
33	C₃₁×#335	C₂²	1	2	yes	—
34	C₃₁×#332	C₂²	1	4	yes	—
35	C₃₁×#331	C₂²	1	4	yes	—
36	C₂×#41×C₃₁	—	2	2	no	—
37	C₂²×Q₈×C₃₁	D₄	1	1	yes	characteristic
38	C₃₁×#137	—	4	8	no	—
39	C₂×Q₁₆×C₃₁	—	2	4	no	—
40	C₂×SD₁₆×C₃₁	—	2	4	no	—
41	C₂×D₈×C₃₁	—	2	1	no	—
42	C₂×D₈×C₃₁	—	2	1	no	—
43	C₂×M₁₆×C₃₁	—	2	2	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×#127	C₂³	1	2	yes	—
49	C₃₁×#124	—	2	2	no	—
50	C₃₁×#121	—	2	2	no	—
51	C₃₁×#121	—	2	2	no	—
52	C₄×Q₈×C₃₁	—	2	1	no	—
53	C₄×Q₈×C₃₁	—	2	1	no	—
54	C₄×Q₈×C₃₁	D₄	1	2	yes	—
55	C₄×Q₈×C₃₁	C₂³	1	2	yes	—
56	C₄×D₄×C₃₁	—	2	2	no	—
57	C₄×D₄×C₃₁	—	2	2	no	—
58	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
59	C₂×C₄⋊C₄×C₃₁	D₄	1	1	yes	characteristic
60	C₂×C₄²×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×C₄⋊C₈	—	2	2	no	—
65	C₃₁×C₄⋊C₈	—	2	2	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	4	no	—
71	C₃₁×#102	—	2	2	no	—
72	C₃₁×#102	—	2	2	no	—
73	C₃₁×#102	—	2	4	no	—
74	C₄×C₈×C₃₁	—	2	2	no	—
75	C₄×C₈×C₃₁	—	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	#41×C₃₁	—	4	4	no	—
81	#41×C₃₁	—	4	4	no	—
82	C₂×Q₈×C₃₁	—	2	1	no	—
83	C₂×Q₈×C₃₁	—	2	2	no	—
84	C₂×Q₈×C₃₁	—	2	2	no	—
85	C₂×Q₈×C₃₁	D₈	1	4	yes	complemented
86	C₂×Q₈×C₃₁	C₂×D₄	1	2	yes	—
87	C₂×D₄×C₃₁	—	2	2	no	—
88	C₂×D₄×C₃₁	—	2	2	no	—
89	C₂×D₄×C₃₁	—	2	2	no	—
90	C₂×D₄×C₃₁	—	4	2	no	—
91	C₂²×C₄×C₃₁	—	2	1	no	—
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	—	4	8	no	—
98	SD₁₆×C₃₁	—	4	8	no	—
99	D₈×C₃₁	—	4	2	no	—
100	D₈×C₃₁	—	4	2	no	—
101	M₁₆×C₃₁	—	4	4	no	—
102	C₂×C₈×C₃₁	—	2	2	no	—
103	C₂×C₈×C₃₁	—	2	2	no	—
104	C₂×C₈×C₃₁	—	2	4	no	—
105	C₂×C₈×C₃₁	—	4	1	no	—
106	C₂×C₈×C₃₁	—	4	2	no	—
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	C₂×C₈×C₃₁	C₂×D₄	1	1	yes	characteristic
111	C₄⋊C₄×C₃₁	—	2	2	no	—
112	C₄⋊C₄×C₃₁	—	2	1	no	—
113	C₄⋊C₄×C₃₁	—	2	2	no	—
114	C₄⋊C₄×C₃₁	—	2	2	no	—
115	C₄⋊C₄×C₃₁	—	2	2	no	—
116	C₄⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
117	C₂²⋊C₄×C₃₁	—	4	2	no	—
118	C₂²⋊C₄×C₃₁	—	4	2	no	—
119	C₄²×C₃₁	—	2	2	no	—
120	C₄²×C₃₁	—	2	2	no	—
121	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
122	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
123	C₄²×C₃₁	#41	1	1	yes	characteristic
124	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
125	#19261	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
126	C₂³×C₃₁	—	4	2	no	—
127	C₂³×C₃₁	#121	1	1	yes	characteristic
128	Q₈×C₃₁	—	2	2	no	—
129	Q₈×C₃₁	—	2	4	no	—
130	Q₈×C₃₁	—	4	2	no	—
131	Q₈×C₃₁	—	4	2	no	—
132	Q₈×C₃₁	C₂×D₈	1	4	yes	—
133	D₄×C₃₁	—	4	2	no	—
134	D₄×C₃₁	—	4	2	no	—
135	D₄×C₃₁	—	4	2	no	—
136	D₄×C₃₁	—	4	2	no	—
137	D₄×C₃₁	—	8	2	no	—
138	D₄×C₃₁	—	8	4	no	—
139	C₂×C₄×C₃₁	—	2	2	no	—
140	C₂×C₄×C₃₁	—	2	4	no	—
141	C₂×C₄×C₃₁	—	2	1	no	—
142	C₂×C₄×C₃₁	—	2	1	no	—
143	C₂×C₄×C₃₁	—	2	2	no	—
144	C₂×C₄×C₃₁	—	4	1	no	—
145	C₂×C₄×C₃₁	—	4	2	no	—
146	C₂×C₄×C₃₁	—	4	2	no	—
147	C₂×C₄×C₃₁	—	8	4	no	—
148	C₂×C₄×C₃₁	#121	1	1	yes	characteristic
149	C₂×C₄×C₃₁	#121	1	1	yes	characteristic
150	C₂×C₄×C₃₁	#121	1	1	yes	characteristic
151	C₂×C₄×C₃₁	C₂×D₈	1	2	yes	—
152	C₂×C₄×C₃₁	#135	1	2	yes	—
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	—	2	1	no	—
159	C₈×C₃₁	—	4	4	no	—
160	C₈×C₃₁	—	4	2	no	—
161	C₈×C₃₁	#137	1	2	yes	complemented
162	#3169	C₂×C₃₁	1	1	yes	characteristic
163	#3037	C₂×C₃₁	1	2	yes	complemented
164	C₂×C₈×Q₈	C₂×C₃₁	1	1	yes	characteristic, complemented
165	#1682	C₂×C₃₁	1	4	yes	complemented
166	#1674	C₂×C₃₁	1	2	yes	complemented
167	#1668	C₂×C₃₁	1	2	yes	complemented
168	#1567	C₂×C₃₁	1	1	yes	characteristic, complemented
169	#1547	C₂×C₃₁	1	2	yes	complemented
170	C₂²×C₃₁	—	2	1	no	—
171	C₂²×C₃₁	—	2	1	no	—
172	C₂²×C₃₁	—	8	2	no	—
173	C₂²×C₃₁	—	8	2	no	—
174	C₂²×C₃₁	—	8	2	no	—
175	C₂²×C₃₁	#466	1	2	yes	—
176	C₂²×C₃₁	C₂×#121	1	1	yes	characteristic
177	C₄×C₃₁	—	2	1	no	—
178	C₄×C₃₁	—	2	4	no	—
179	C₄×C₃₁	—	2	1	no	—
180	C₄×C₃₁	—	2	1	no	—
181	C₄×C₃₁	—	4	2	no	—
182	C₄×C₃₁	—	8	2	no	—
183	C₄×C₃₁	#466	1	2	yes	—
184	C₄×C₃₁	C₂²×D₈	1	1	yes	characteristic
185	C₄×C₃₁	C₂×#135	1	1	yes	characteristic
186	C₄×C₃₁	C₂×#137	1	1	yes	characteristic
187	C₄×C₃₁	#575	1	1	yes	characteristic
188	C₂×#137	—	2	2	no	—
189	#532	C₂²×C₃₁	1	2	yes	—
190	C₂×C₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
191	#500	C₂²×C₃₁	1	1	yes	characteristic
192	#493	C₂²×C₃₁	1	1	yes	characteristic
193	#486	C₂²×C₃₁	1	2	yes	—
194	#466	—	2	1	no	—
195	#466	—	2	1	no	—
196	#464	—	2	4	no	—
197	#462	C₂²×C₃₁	1	4	yes	—
198	#460	C₂²×C₃₁	1	4	yes	—
199	C₈×Q₈	—	2	1	no	—
200	C₈×Q₈	—	2	1	no	—
201	C₈×Q₈	C₂²×C₃₁	1	2	yes	—
202	C₈×Q₈	C₂²×C₃₁	1	2	yes	—
203	C₄×D₈	—	2	1	no	—
204	C₄×D₈	—	2	1	no	—
205	#423	C₂²×C₃₁	1	2	yes	—
206	C₂×C₄⋊C₈	—	2	1	no	—
207	C₂×C₄⋊C₈	C₂²×C₃₁	1	1	yes	characteristic
208	#417	—	2	2	no	—
209	C₂×C₄×C₈	—	2	1	no	—
210	C₂×C₄×C₈	C₂²×C₃₁	1	1	yes	characteristic
211	#335	C₂²×C₃₁	1	2	yes	—
212	#335	C₂²×C₃₁	1	2	yes	—
213	#332	C₂²×C₃₁	1	4	yes	—
214	#331	C₂²×C₃₁	1	4	yes	—
215	C₂×C₃₁	—	2	2	no	—
216	C₂×C₃₁	—	16	2	no	—
217	C₂×C₃₁	#3037	1	1	yes	characteristic
218	C₂×C₃₁	C₂×#466	1	1	yes	characteristic
219	C₂×C₃₁	#3067	1	1	yes	characteristic
220	C₂×#41	—	2	2	no	—
221	C₂²×Q₈	D₄×C₃₁	1	1	yes	characteristic
222	#137	—	4	8	no	—
223	C₂×Q₁₆	—	2	4	no	—
224	C₂×SD₁₆	—	2	4	no	—
225	C₂×D₈	—	2	1	no	—
226	C₂×D₈	—	2	1	no	—
227	C₂×M₁₆	—	2	2	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	C₂³×C₃₁	1	2	yes	—
232	#127	C₂³×C₃₁	1	2	yes	—
233	#124	—	2	2	no	—
234	#121	—	2	2	no	—
235	#121	—	2	2	no	—
236	C₄×Q₈	—	2	1	no	—
237	C₄×Q₈	—	2	1	no	—
238	C₄×Q₈	D₄×C₃₁	1	2	yes	—
239	C₄×Q₈	C₂³×C₃₁	1	2	yes	—
240	C₄×D₄	—	2	2	no	—
241	C₄×D₄	—	2	2	no	—
242	C₂×C₄⋊C₄	—	2	1	no	—
243	C₂×C₄⋊C₄	D₄×C₃₁	1	1	yes	characteristic
244	C₂×C₄²	—	2	1	no	—
245	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
246	#107	—	2	1	no	—
247	#107	—	2	1	no	—
248	C₄⋊C₈	—	2	2	no	—
249	C₄⋊C₈	—	2	2	no	—
250	C₄⋊C₈	—	2	1	no	—
251	C₄⋊C₈	—	2	2	no	—
252	C₄⋊C₈	C₂³×C₃₁	1	2	yes	—
253	C₄⋊C₈	C₂³×C₃₁	1	4	yes	—
254	#103	—	2	4	no	—
255	#102	—	2	2	no	—
256	#102	—	2	2	no	—
257	#102	—	2	4	no	—
258	C₄×C₈	—	2	2	no	—
259	C₄×C₈	—	2	2	no	—
260	C₄×C₈	D₄×C₃₁	1	1	yes	characteristic
261	C₄×C₈	D₄×C₃₁	1	1	yes	characteristic
262	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
263	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
264	C₃₁	#19261	1	1	yes	characteristic, direct product factor, Sylow
265	#41	—	4	4	no	—
266	#41	—	4	4	no	—
267	C₂×Q₈	—	2	1	no	—
268	C₂×Q₈	—	2	2	no	—
269	C₂×Q₈	—	2	2	no	—
270	C₂×Q₈	D₈×C₃₁	1	4	yes	complemented
271	C₂×Q₈	C₂×D₄×C₃₁	1	2	yes	—
272	C₂×D₄	—	2	2	no	—
273	C₂×D₄	—	2	2	no	—
274	C₂×D₄	—	2	2	no	—
275	C₂×D₄	—	4	2	no	—
276	C₂²×C₄	—	2	1	no	—
277	C₂²×C₄	—	2	1	no	—
278	C₂²×C₄	—	4	2	no	—
279	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
280	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
281	C₂²×C₄	#41×C₃₁	1	1	yes	characteristic
282	Q₁₆	—	4	8	no	—
283	SD₁₆	—	4	8	no	—
284	D₈	—	4	2	no	—
285	D₈	—	4	2	no	—
286	M₁₆	—	4	4	no	—
287	C₂×C₈	—	2	2	no	—
288	C₂×C₈	—	2	2	no	—
289	C₂×C₈	—	2	4	no	—
290	C₂×C₈	—	4	1	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	2	no	—
297	C₄⋊C₄	—	2	1	no	—
298	C₄⋊C₄	—	2	2	no	—
299	C₄⋊C₄	—	2	2	no	—
300	C₄⋊C₄	—	2	2	no	—
301	C₄⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
302	C₂²⋊C₄	—	4	2	no	—
303	C₂²⋊C₄	—	4	2	no	—
304	C₄²	—	2	2	no	—
305	C₄²	—	2	2	no	—
306	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
307	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
308	C₄²	#41×C₃₁	1	1	yes	characteristic
309	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
310	C₂³	—	4	2	no	—
311	C₂³	C₃₁×#121	1	1	yes	characteristic
312	Q₈	—	2	4	no	—
313	Q₈	—	2	2	no	—
314	Q₈	—	4	2	no	—
315	Q₈	—	4	2	no	—
316	Q₈	C₂×D₈×C₃₁	1	4	yes	—
317	D₄	—	4	2	no	—
318	D₄	—	4	2	no	—
319	D₄	—	4	2	no	—
320	D₄	—	4	2	no	—
321	D₄	—	8	2	no	—
322	D₄	—	8	4	no	—
323	C₂×C₄	—	2	4	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	—	4	1	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	8	4	no	—
332	C₂×C₄	C₃₁×#121	1	1	yes	characteristic
333	C₂×C₄	C₃₁×#121	1	1	yes	characteristic
334	C₂×C₄	C₃₁×#121	1	1	yes	characteristic
335	C₂×C₄	C₂×D₈×C₃₁	1	2	yes	—
336	C₂×C₄	C₃₁×#135	1	2	yes	—
337	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
338	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
339	C₂×C₄	C₂×#41×C₃₁	1	1	yes	characteristic
340	C₈	—	2	1	no	—
341	C₈	—	2	1	no	—
342	C₈	—	2	1	no	—
343	C₈	—	4	4	no	—
344	C₈	—	4	2	no	—
345	C₈	C₃₁×#137	1	2	yes	complemented
346	C₂²	—	2	1	no	—
347	C₂²	—	2	1	no	—
348	C₂²	—	8	2	no	—
349	C₂²	—	8	2	no	—
350	C₂²	—	8	2	no	—
351	C₂²	C₃₁×#466	1	2	yes	—
352	C₂²	C₂×C₃₁×#121	1	1	yes	characteristic
353	C₄	—	2	1	no	—
354	C₄	—	2	4	no	—
355	C₄	—	2	1	no	—
356	C₄	—	2	1	no	—
357	C₄	—	4	2	no	—
358	C₄	—	8	2	no	—
359	C₄	C₃₁×#466	1	2	yes	—
360	C₄	C₂²×D₈×C₃₁	1	1	yes	characteristic
361	C₄	C₂×C₃₁×#135	1	1	yes	characteristic
362	C₄	C₂×C₃₁×#137	1	1	yes	characteristic
363	C₄	C₃₁×#575	1	1	yes	characteristic
364	C₂	—	2	2	no	—
365	C₂	—	16	2	no	—
366	C₂	C₃₁×#3037	1	1	yes	characteristic
367	C₂	C₂×C₃₁×#466	1	1	yes	characteristic
368	C₂	C₃₁×#3067	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₁	C₂×#121
commutator, Frattini, cosocle	C₄²	C₂⁴×C₃₁
prime radical	C₃₁×#3169	C₂
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. C₃₁×#3037	C₂	semidirect
3. C₂×C₈×Q₈×C₃₁	C₂	semidirect
4. C₃₁×#1682	C₂	semidirect
5. C₃₁×#1674	C₂	semidirect
6. C₃₁×#1668	C₂	semidirect
7. C₃₁×#1567	C₂	semidirect
8. C₃₁×#1547	C₂	semidirect
85. C₂×Q₈×C₃₁	D₈	semidirect
125. #19261	C₃₁	direct (N × H)
161. C₈×C₃₁	#137	semidirect
163. #3037	C₂×C₃₁	semidirect
164. C₂×C₈×Q₈	C₂×C₃₁	semidirect
165. #1682	C₂×C₃₁	semidirect
166. #1674	C₂×C₃₁	semidirect
167. #1668	C₂×C₃₁	semidirect
168. #1567	C₂×C₃₁	semidirect
169. #1547	C₂×C₃₁	semidirect
264. C₃₁	#19261	direct (N × H)
270. C₂×Q₈	D₈×C₃₁	semidirect
345. C₈	C₃₁×#137	semidirect

Maximal subgroups

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

subgroup	index
C₃₁×#3169	2
C₃₁×#3037	2
C₂×C₈×Q₈×C₃₁	2
C₃₁×#1682	2
C₃₁×#1674	2
C₃₁×#1668	2
C₃₁×#1567	2
C₃₁×#1547	2
#19261	31

Subgroups — C31×#19261 #21476020

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#19261 #21476020