Subgroups — C₃₁×#33964 #21490723

Order 7936.

554 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×#3393	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3391	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#2250	C₂	1	2	yes	maximal, complemented
4	C₃₁×#2248	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#2210	C₂	1	2	yes	maximal, complemented
6	C₃₁×#2208	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#2207	C₂	1	2	yes	maximal, complemented
8	C₃₁×#2206	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#2183	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#2175	C₂	1	2	yes	maximal, complemented
11	C₄×C₃₁×D₁₆	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#556	—	2	1	no	—
13	C₃₁×#550	—	2	1	no	—
14	C₂×C₃₁×SD₃₂	C₂²	1	2	yes	—
15	C₂×C₃₁×SD₃₂	C₂²	1	2	yes	—
16	C₂×C₃₁×SD₃₂	C₂²	1	2	yes	—
17	C₂×C₃₁×D₁₆	C₂²	1	1	yes	characteristic
18	C₂×C₃₁×D₁₆	C₂²	1	2	yes	—
19	C₃₁×#495	C₂²	1	2	yes	—
20	C₃₁×#494	C₂²	1	1	yes	characteristic
21	C₃₁×#493	C₂²	1	1	yes	characteristic
22	C₃₁×#493	C₂²	1	2	yes	—
23	C₃₁×#464	—	2	2	no	—
24	C₃₁×#461	—	2	1	no	—
25	C₃₁×#459	—	2	1	no	—
26	C₃₁×#459	—	2	2	no	—
27	C₈×Q₈×C₃₁	C₂²	1	1	yes	characteristic
28	C₄×Q₁₆×C₃₁	C₂²	1	2	yes	—
29	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic
30	C₄×D₈×C₃₁	C₂²	1	2	yes	—
31	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic
32	C₃₁×#366	C₂²	1	1	yes	characteristic
33	C₃₁×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
34	C₃₁×C₄⋊C₁₆	C₂²	1	2	yes	—
35	C₃₁×#358	C₂²	1	2	yes	—
36	C₃₁×#357	C₂²	1	1	yes	characteristic
37	C₃₁×#357	C₂²	1	1	yes	characteristic
38	C₃₁×#357	C₂²	1	2	yes	—
39	C₃₁×#346	C₂²	1	2	yes	—
40	C₄×C₁₆×C₃₁	C₂²	1	1	yes	characteristic
41	C₂×#41×C₃₁	—	4	1	no	—
42	C₂×Q₁₆×C₃₁	—	2	1	no	—
43	C₂×Q₁₆×C₃₁	C₂³	1	2	yes	—
44	C₂×SD₁₆×C₃₁	—	2	2	no	—
45	C₂×D₈×C₃₁	—	2	1	no	—
46	C₂×D₈×C₃₁	—	2	2	no	—
47	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
48	C₂×D₈×C₃₁	C₂³	1	2	yes	—
49	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
50	C₃₁×C₄⋊Q₈	—	2	1	no	—
51	C₃₁×#127	—	2	1	no	—
52	C₃₁×#127	—	2	2	no	—
53	C₃₁×#126	—	4	2	no	—
54	C₃₁×#124	—	2	2	no	—
55	C₃₁×C₂²⋊Q₈	—	4	1	no	—
56	C₃₁×#121	—	4	1	no	—
57	C₃₁×#121	—	4	2	no	—
58	C₄×Q₈×C₃₁	—	2	2	no	—
59	C₄×Q₈×C₃₁	D₄	1	1	yes	characteristic
60	C₄×D₄×C₃₁	—	2	1	no	—
61	C₄×D₄×C₃₁	—	2	2	no	—
62	C₄×D₄×C₃₁	—	2	1	no	—
63	C₃₁×#117	—	4	1	no	—
64	C₃₁×SD₃₂	—	2	4	no	—
65	C₃₁×SD₃₂	—	4	2	no	—
66	C₃₁×SD₃₂	—	4	2	no	—
67	C₃₁×D₁₆	—	2	2	no	—
68	C₃₁×D₁₆	—	4	2	no	—
69	C₂×C₁₆×C₃₁	C₂³	1	2	yes	—
70	C₂×C₁₆×C₃₁	C₂³	1	1	yes	characteristic
71	C₂×C₁₆×C₃₁	C₂³	1	1	yes	characteristic
72	C₃₁×#107	C₂³	1	1	yes	characteristic
73	C₃₁×#107	C₂³	1	1	yes	characteristic
74	C₃₁×C₄⋊C₈	D₄	1	1	yes	characteristic
75	C₃₁×C₄⋊C₈	D₄	1	2	yes	—
76	C₃₁×#103	—	2	2	no	—
77	C₃₁×#102	—	2	1	no	—
78	C₃₁×#102	—	2	2	no	—
79	C₃₁×#102	—	2	1	no	—
80	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
81	C₄×C₈×C₃₁	C₂³	1	2	yes	—
82	#41×C₃₁	—	8	4	no	—
83	C₂×Q₈×C₃₁	—	2	2	no	—
84	C₂×Q₈×C₃₁	D₈	1	1	yes	characteristic
85	C₂×D₄×C₃₁	—	2	1	no	—
86	C₂×D₄×C₃₁	—	2	1	no	—
87	C₂×D₄×C₃₁	—	2	2	no	—
88	C₂×D₄×C₃₁	—	4	2	no	—
89	C₂×D₄×C₃₁	—	4	1	no	—
90	C₂×D₄×C₃₁	—	4	2	no	—
91	C₂×D₄×C₃₁	—	4	1	no	—
92	C₂²×C₄×C₃₁	—	4	1	no	—
93	C₂²×C₄×C₃₁	—	4	2	no	—
94	C₂²×C₄×C₃₁	—	4	1	no	—
95	Q₁₆×C₃₁	—	2	2	no	—
96	Q₁₆×C₃₁	—	2	2	no	—
97	Q₁₆×C₃₁	—	8	1	no	—
98	SD₁₆×C₃₁	—	8	2	no	—
99	D₈×C₃₁	—	2	1	no	—
100	D₈×C₃₁	—	2	1	no	—
101	D₈×C₃₁	—	2	2	no	—
102	D₈×C₃₁	—	2	1	no	—
103	D₈×C₃₁	—	2	2	no	—
104	D₈×C₃₁	—	2	1	no	—
105	D₈×C₃₁	—	8	2	no	—
106	D₈×C₃₁	—	8	1	no	—
107	C₂×C₈×C₃₁	C₂×D₄	1	1	yes	characteristic
108	C₂×C₈×C₃₁	C₂×D₄	1	2	yes	—
109	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
110	C₄⋊C₄×C₃₁	—	2	1	no	—
111	C₄⋊C₄×C₃₁	—	2	1	no	—
112	C₄⋊C₄×C₃₁	—	4	1	no	—
113	C₄⋊C₄×C₃₁	—	4	2	no	—
114	C₄⋊C₄×C₃₁	—	4	1	no	—
115	C₄⋊C₄×C₃₁	D₈	1	1	yes	characteristic
116	C₄⋊C₄×C₃₁	D₈	1	2	yes	—
117	C₂²⋊C₄×C₃₁	—	4	2	no	—
118	C₂²⋊C₄×C₃₁	—	4	2	no	—
119	C₂²⋊C₄×C₃₁	—	4	1	no	—
120	C₂²⋊C₄×C₃₁	—	4	1	no	—
121	C₂²⋊C₄×C₃₁	—	4	2	no	—
122	C₄²×C₃₁	—	4	2	no	—
123	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
124	C₄²×C₃₁	C₂×D₄	1	2	yes	—
125	C₁₆×C₃₁	—	2	2	no	—
126	C₁₆×C₃₁	—	2	1	no	—
127	C₁₆×C₃₁	#41	1	2	yes	complemented
128	#33964	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
129	C₂³×C₃₁	—	4	1	no	—
130	C₂³×C₃₁	—	4	2	no	—
131	C₂³×C₃₁	—	4	1	no	—
132	Q₈×C₃₁	—	2	2	no	—
133	Q₈×C₃₁	—	4	2	no	—
134	Q₈×C₃₁	—	4	2	no	—
135	D₄×C₃₁	—	4	1	no	—
136	D₄×C₃₁	—	4	1	no	—
137	D₄×C₃₁	—	4	2	no	—
138	D₄×C₃₁	—	4	1	no	—
139	D₄×C₃₁	—	4	2	no	—
140	D₄×C₃₁	—	4	1	no	—
141	D₄×C₃₁	—	8	4	no	—
142	D₄×C₃₁	—	8	2	no	—
143	D₄×C₃₁	—	16	2	no	—
144	D₄×C₃₁	—	16	1	no	—
145	C₂×C₄×C₃₁	—	4	1	no	—
146	C₂×C₄×C₃₁	—	4	2	no	—
147	C₂×C₄×C₃₁	—	4	1	no	—
148	C₂×C₄×C₃₁	—	8	4	no	—
149	C₂×C₄×C₃₁	—	8	2	no	—
150	C₂×C₄×C₃₁	—	8	2	no	—
151	C₂×C₄×C₃₁	C₂×D₈	1	2	yes	—
152	C₂×C₄×C₃₁	C₂×D₈	1	1	yes	characteristic
153	C₂×C₄×C₃₁	C₂×D₈	1	2	yes	—
154	C₂×C₄×C₃₁	C₂×D₈	1	1	yes	characteristic
155	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
156	C₈×C₃₁	—	2	2	no	—
157	C₈×C₃₁	—	2	1	no	—
158	C₈×C₃₁	C₂×#41	1	1	yes	characteristic
159	C₈×C₃₁	H(5,𝔽₂)	1	1	yes	characteristic
160	#3393	C₂×C₃₁	1	1	yes	characteristic, complemented
161	#3391	C₂×C₃₁	1	1	yes	characteristic, complemented
162	#2250	C₂×C₃₁	1	2	yes	complemented
163	#2248	C₂×C₃₁	1	1	yes	characteristic, complemented
164	#2210	C₂×C₃₁	1	2	yes	complemented
165	#2208	C₂×C₃₁	1	1	yes	characteristic, complemented
166	#2207	C₂×C₃₁	1	2	yes	complemented
167	#2206	C₂×C₃₁	1	1	yes	characteristic, complemented
168	#2183	C₂×C₃₁	1	1	yes	characteristic, complemented
169	#2175	C₂×C₃₁	1	2	yes	complemented
170	C₄×D₁₆	C₂×C₃₁	1	1	yes	characteristic, complemented
171	C₂²×C₃₁	—	8	1	no	—
172	C₂²×C₃₁	—	8	2	no	—
173	C₂²×C₃₁	—	8	1	no	—
174	C₂²×C₃₁	—	8	2	no	—
175	C₂²×C₃₁	—	8	1	no	—
176	C₂²×C₃₁	—	8	1	no	—
177	C₂²×C₃₁	—	8	2	no	—
178	C₂²×C₃₁	—	8	1	no	—
179	C₂²×C₃₁	—	8	1	no	—
180	C₂²×C₃₁	C₂²×D₈	1	1	yes	characteristic
181	C₄×C₃₁	—	2	2	no	—
182	C₄×C₃₁	—	2	2	no	—
183	C₄×C₃₁	—	2	1	no	—
184	C₄×C₃₁	—	8	2	no	—
185	C₄×C₃₁	—	8	1	no	—
186	C₄×C₃₁	—	8	1	no	—
187	C₄×C₃₁	#509	1	2	yes	—
188	C₄×C₃₁	#550	1	1	yes	characteristic
189	C₄×C₃₁	#576	1	1	yes	characteristic
190	#556	—	2	1	no	—
191	#550	—	2	1	no	—
192	C₂×SD₃₂	C₂²×C₃₁	1	2	yes	—
193	C₂×SD₃₂	C₂²×C₃₁	1	2	yes	—
194	C₂×SD₃₂	C₂²×C₃₁	1	2	yes	—
195	C₂×D₁₆	C₂²×C₃₁	1	1	yes	characteristic
196	C₂×D₁₆	C₂²×C₃₁	1	2	yes	—
197	#495	C₂²×C₃₁	1	2	yes	—
198	#494	C₂²×C₃₁	1	1	yes	characteristic
199	#493	C₂²×C₃₁	1	1	yes	characteristic
200	#493	C₂²×C₃₁	1	2	yes	—
201	#464	—	2	2	no	—
202	#461	—	2	1	no	—
203	#459	—	2	1	no	—
204	#459	—	2	2	no	—
205	C₈×Q₈	C₂²×C₃₁	1	1	yes	characteristic
206	C₄×Q₁₆	C₂²×C₃₁	1	2	yes	—
207	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic
208	C₄×D₈	C₂²×C₃₁	1	2	yes	—
209	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic
210	#366	C₂²×C₃₁	1	1	yes	characteristic
211	C₄⋊C₁₆	C₂²×C₃₁	1	1	yes	characteristic
212	C₄⋊C₁₆	C₂²×C₃₁	1	2	yes	—
213	#358	C₂²×C₃₁	1	2	yes	—
214	#357	C₂²×C₃₁	1	1	yes	characteristic
215	#357	C₂²×C₃₁	1	1	yes	characteristic
216	#357	C₂²×C₃₁	1	2	yes	—
217	#346	C₂²×C₃₁	1	2	yes	—
218	C₄×C₁₆	C₂²×C₃₁	1	1	yes	characteristic
219	C₂×C₃₁	—	16	2	no	—
220	C₂×C₃₁	—	16	1	no	—
221	C₂×C₃₁	—	16	1	no	—
222	C₂×C₃₁	#3391	1	1	yes	characteristic
223	C₂×C₃₁	C₂×#509	1	1	yes	characteristic
224	C₂×C₃₁	#3416	1	1	yes	characteristic
225	C₂×#41	—	4	1	no	—
226	C₂×Q₁₆	—	2	1	no	—
227	C₂×Q₁₆	C₂³×C₃₁	1	2	yes	—
228	C₂×SD₁₆	—	2	2	no	—
229	C₂×D₈	—	2	1	no	—
230	C₂×D₈	—	2	2	no	—
231	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
232	C₂×D₈	C₂³×C₃₁	1	2	yes	—
233	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
234	C₄⋊Q₈	—	2	1	no	—
235	#127	—	2	1	no	—
236	#127	—	2	2	no	—
237	#126	—	4	2	no	—
238	#124	—	2	2	no	—
239	C₂²⋊Q₈	—	4	1	no	—
240	#121	—	4	1	no	—
241	#121	—	4	2	no	—
242	C₄×Q₈	—	2	2	no	—
243	C₄×Q₈	D₄×C₃₁	1	1	yes	characteristic
244	C₄×D₄	—	2	1	no	—
245	C₄×D₄	—	2	2	no	—
246	C₄×D₄	—	2	1	no	—
247	#117	—	4	1	no	—
248	SD₃₂	—	2	4	no	—
249	SD₃₂	—	4	2	no	—
250	SD₃₂	—	4	2	no	—
251	D₁₆	—	2	2	no	—
252	D₁₆	—	4	2	no	—
253	C₂×C₁₆	C₂³×C₃₁	1	1	yes	characteristic
254	C₂×C₁₆	C₂³×C₃₁	1	2	yes	—
255	C₂×C₁₆	C₂³×C₃₁	1	1	yes	characteristic
256	#107	C₂³×C₃₁	1	1	yes	characteristic
257	#107	C₂³×C₃₁	1	1	yes	characteristic
258	C₄⋊C₈	D₄×C₃₁	1	1	yes	characteristic
259	C₄⋊C₈	D₄×C₃₁	1	2	yes	—
260	#103	—	2	2	no	—
261	#102	—	2	1	no	—
262	#102	—	2	2	no	—
263	#102	—	2	1	no	—
264	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
265	C₄×C₈	C₂³×C₃₁	1	2	yes	—
266	C₃₁	#33964	1	1	yes	characteristic, direct product factor, Sylow
267	#41	—	8	4	no	—
268	C₂×Q₈	—	2	2	no	—
269	C₂×Q₈	D₈×C₃₁	1	1	yes	characteristic
270	C₂×D₄	—	2	1	no	—
271	C₂×D₄	—	2	1	no	—
272	C₂×D₄	—	2	2	no	—
273	C₂×D₄	—	4	2	no	—
274	C₂×D₄	—	4	1	no	—
275	C₂×D₄	—	4	2	no	—
276	C₂×D₄	—	4	1	no	—
277	C₂²×C₄	—	4	1	no	—
278	C₂²×C₄	—	4	2	no	—
279	C₂²×C₄	—	4	1	no	—
280	Q₁₆	—	2	2	no	—
281	Q₁₆	—	2	2	no	—
282	Q₁₆	—	8	1	no	—
283	SD₁₆	—	8	2	no	—
284	D₈	—	2	1	no	—
285	D₈	—	2	1	no	—
286	D₈	—	2	2	no	—
287	D₈	—	2	1	no	—
288	D₈	—	2	2	no	—
289	D₈	—	2	1	no	—
290	D₈	—	8	2	no	—
291	D₈	—	8	1	no	—
292	C₂×C₈	C₂×D₄×C₃₁	1	1	yes	characteristic
293	C₂×C₈	C₂×D₄×C₃₁	1	2	yes	—
294	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
295	C₄⋊C₄	—	2	1	no	—
296	C₄⋊C₄	—	2	1	no	—
297	C₄⋊C₄	—	4	1	no	—
298	C₄⋊C₄	—	4	2	no	—
299	C₄⋊C₄	—	4	1	no	—
300	C₄⋊C₄	D₈×C₃₁	1	1	yes	characteristic
301	C₄⋊C₄	D₈×C₃₁	1	2	yes	—
302	C₂²⋊C₄	—	4	2	no	—
303	C₂²⋊C₄	—	4	2	no	—
304	C₂²⋊C₄	—	4	1	no	—
305	C₂²⋊C₄	—	4	1	no	—
306	C₂²⋊C₄	—	4	2	no	—
307	C₄²	—	4	2	no	—
308	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
309	C₄²	C₂×D₄×C₃₁	1	2	yes	—
310	C₁₆	—	2	2	no	—
311	C₁₆	—	2	1	no	—
312	C₁₆	#41×C₃₁	1	2	yes	complemented
313	C₂³	—	4	1	no	—
314	C₂³	—	4	2	no	—
315	C₂³	—	4	1	no	—
316	Q₈	—	2	2	no	—
317	Q₈	—	4	2	no	—
318	Q₈	—	4	2	no	—
319	D₄	—	4	1	no	—
320	D₄	—	4	1	no	—
321	D₄	—	4	2	no	—
322	D₄	—	4	1	no	—
323	D₄	—	4	2	no	—
324	D₄	—	4	1	no	—
325	D₄	—	8	4	no	—
326	D₄	—	8	2	no	—
327	D₄	—	16	2	no	—
328	D₄	—	16	1	no	—
329	C₂×C₄	—	4	1	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	8	4	no	—
333	C₂×C₄	—	8	2	no	—
334	C₂×C₄	—	8	2	no	—
335	C₂×C₄	C₂×D₈×C₃₁	1	2	yes	—
336	C₂×C₄	C₂×D₈×C₃₁	1	1	yes	characteristic
337	C₂×C₄	C₂×D₈×C₃₁	1	2	yes	—
338	C₂×C₄	C₂×D₈×C₃₁	1	1	yes	characteristic
339	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
340	C₈	—	2	2	no	—
341	C₈	—	2	1	no	—
342	C₈	C₂×#41×C₃₁	1	1	yes	characteristic
343	C₈	C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
344	C₂²	—	8	1	no	—
345	C₂²	—	8	2	no	—
346	C₂²	—	8	1	no	—
347	C₂²	—	8	2	no	—
348	C₂²	—	8	1	no	—
349	C₂²	—	8	1	no	—
350	C₂²	—	8	2	no	—
351	C₂²	—	8	1	no	—
352	C₂²	—	8	1	no	—
353	C₂²	C₂²×D₈×C₃₁	1	1	yes	characteristic
354	C₄	—	2	2	no	—
355	C₄	—	2	2	no	—
356	C₄	—	2	1	no	—
357	C₄	—	8	2	no	—
358	C₄	—	8	1	no	—
359	C₄	—	8	1	no	—
360	C₄	C₃₁×#509	1	2	yes	—
361	C₄	C₃₁×#550	1	1	yes	characteristic
362	C₄	C₃₁×#576	1	1	yes	characteristic
363	C₂	—	16	2	no	—
364	C₂	—	16	1	no	—
365	C₂	—	16	1	no	—
366	C₂	C₃₁×#3391	1	1	yes	characteristic
367	C₂	C₂×C₃₁×#509	1	1	yes	characteristic
368	C₂	C₃₁×#3416	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₁	C₂²×D₈
commutator, Frattini, cosocle	C₂×C₈	C₂⁴×C₃₁
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₁ ◁ C₄×Q₈×C₃₁ ◁ C₈×Q₈×C₃₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3393	C₂	semidirect
2. C₃₁×#3391	C₂	semidirect
3. C₃₁×#2250	C₂	semidirect
4. C₃₁×#2248	C₂	semidirect
5. C₃₁×#2210	C₂	semidirect
6. C₃₁×#2208	C₂	semidirect
7. C₃₁×#2207	C₂	semidirect
8. C₃₁×#2206	C₂	semidirect
9. C₃₁×#2183	C₂	semidirect
10. C₃₁×#2175	C₂	semidirect
11. C₄×C₃₁×D₁₆	C₂	semidirect
127. C₁₆×C₃₁	#41	semidirect
128. #33964	C₃₁	direct (N × H)
160. #3393	C₂×C₃₁	semidirect
161. #3391	C₂×C₃₁	semidirect
162. #2250	C₂×C₃₁	semidirect
163. #2248	C₂×C₃₁	semidirect
164. #2210	C₂×C₃₁	semidirect
165. #2208	C₂×C₃₁	semidirect
166. #2207	C₂×C₃₁	semidirect
167. #2206	C₂×C₃₁	semidirect
168. #2183	C₂×C₃₁	semidirect
169. #2175	C₂×C₃₁	semidirect
170. C₄×D₁₆	C₂×C₃₁	semidirect
266. C₃₁	#33964	direct (N × H)
312. C₁₆	#41×C₃₁	semidirect

Maximal subgroups

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

subgroup	index
C₃₁×#3393	2
C₃₁×#3391	2
C₃₁×#2250	2
C₃₁×#2248	2
C₃₁×#2210	2
C₃₁×#2208	2
C₃₁×#2207	2
C₃₁×#2206	2
C₃₁×#2183	2
C₃₁×#2175	2
C₄×C₃₁×D₁₆	2
#33964	31

Subgroups — C31×#33964 #21490723

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#33964 #21490723