Subgroups — C₃₁×#33129 #21489888

Order 7936.

1034 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	C₂×C₃₁×#466	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₄×C₈×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#2854	C₂	1	2	yes	maximal, complemented
4	C₃₁×#1970	C₂	1	2	yes	maximal, complemented
5	C₃₁×#1942	C₂	1	2	yes	maximal, complemented
6	C₃₁×#1934	C₂	1	4	yes	maximal, complemented
7	C₃₁×#1893	C₂	1	2	yes	maximal, complemented
8	C₃₁×#1808	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×D₈×C₃₁	C₂²	1	1	yes	characteristic
10	C₂³×C₈×C₃₁	C₂²	1	1	yes	characteristic
11	C₂³×C₈×C₃₁	C₂²	1	1	yes	characteristic
12	C₂×C₃₁×#123	—	2	2	no	—
13	C₂×C₃₁×#121	C₂²	1	2	yes	—
14	C₂²×C₄²×C₃₁	C₂²	1	1	yes	characteristic
15	C₃₁×#466	—	2	4	no	—
16	C₂×C₃₁×#107	C₂²	1	2	yes	—
17	C₂×C₃₁×#107	C₂²	1	1	yes	characteristic
18	C₂×C₃₁×#102	C₂²	1	4	yes	—
19	C₂×C₃₁×#102	C₂²	1	2	yes	—
20	C₂×C₄×C₈×C₃₁	—	2	4	no	—
21	C₂×C₄×C₈×C₃₁	C₂²	1	2	yes	—
22	C₂×C₄×C₈×C₃₁	C₂²	1	2	yes	—
23	C₃₁×#390	C₂²	1	4	yes	—
24	C₃₁×#389	C₂²	1	4	yes	—
25	C₃₁×#388	—	2	4	no	—
26	C₃₁×#386	—	2	2	no	—
27	C₃₁×#380	C₂²	1	2	yes	—
28	C₃₁×#340	C₂²	1	2	yes	—
29	C₃₁×#340	C₂²	1	4	yes	—
30	C₂²×D₄×C₃₁	—	2	2	no	—
31	C₂²×D₄×C₃₁	C₂³	1	2	yes	—
32	C₂³×C₄×C₃₁	D₄	1	1	yes	characteristic
33	C₂³×C₄×C₃₁	D₄	1	1	yes	characteristic
34	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
35	C₂×D₈×C₃₁	—	2	2	no	—
36	C₂×D₈×C₃₁	—	2	4	no	—
37	C₂²×C₈×C₃₁	—	2	2	no	—
38	C₂²×C₈×C₃₁	—	2	4	no	—
39	C₂²×C₈×C₃₁	—	2	4	no	—
40	C₂²×C₈×C₃₁	D₄	1	4	yes	—
41	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
42	C₂²×C₈×C₃₁	C₂³	1	2	yes	—
43	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
44	C₃₁×#123	—	4	8	no	—
45	C₃₁×#121	—	2	4	no	—
46	C₃₁×#121	—	2	4	no	—
47	C₂×C₄⋊C₄×C₃₁	—	2	4	no	—
48	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
49	C₂×C₄⋊C₄×C₃₁	C₂³	1	4	yes	—
50	C₂×C₂²⋊C₄×C₃₁	—	2	2	no	—
51	C₂×C₂²⋊C₄×C₃₁	—	2	2	no	—
52	C₂×C₂²⋊C₄×C₃₁	—	2	4	no	—
53	C₂×C₂²⋊C₄×C₃₁	—	2	4	no	—
54	C₂×C₄²×C₃₁	—	2	2	no	—
55	C₂×C₄²×C₃₁	—	2	2	no	—
56	C₂×C₄²×C₃₁	D₄	1	2	yes	—
57	C₂×C₄²×C₃₁	C₂³	1	2	yes	—
58	C₃₁×#107	—	2	2	no	—
59	C₃₁×#107	—	2	4	no	—
60	C₃₁×#102	—	2	4	no	—
61	C₃₁×#102	—	2	8	no	—
62	C₄×C₈×C₃₁	—	2	4	no	—
63	C₄×C₈×C₃₁	—	2	4	no	—
64	C₃₁×#95	—	2	2	no	—
65	C₃₁×#95	—	2	4	no	—
66	C₂⁴×C₃₁	—	2	2	no	—
67	C₂⁴×C₃₁	C₂×D₄	1	1	yes	characteristic
68	C₂×D₄×C₃₁	—	2	2	no	—
69	C₂×D₄×C₃₁	—	2	4	no	—
70	C₂×D₄×C₃₁	—	2	2	no	—
71	C₂×D₄×C₃₁	—	2	4	no	—
72	C₂×D₄×C₃₁	—	4	4	no	—
73	C₂×D₄×C₃₁	—	4	4	no	—
74	C₂×D₄×C₃₁	—	4	4	no	—
75	C₂²×C₄×C₃₁	—	2	2	no	—
76	C₂²×C₄×C₃₁	—	2	2	no	—
77	C₂²×C₄×C₃₁	—	2	2	no	—
78	C₂²×C₄×C₃₁	—	2	4	no	—
79	C₂²×C₄×C₃₁	—	2	2	no	—
80	C₂²×C₄×C₃₁	—	2	2	no	—
81	C₂²×C₄×C₃₁	—	2	4	no	—
82	C₂²×C₄×C₃₁	—	2	2	no	—
83	C₂²×C₄×C₃₁	D₈	1	4	yes	complemented
84	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
85	C₂²×C₄×C₃₁	C₂×D₄	1	2	yes	—
86	C₂²×C₄×C₃₁	C₂×D₄	1	2	yes	—
87	C₂²×C₄×C₃₁	C₂×D₄	1	2	yes	—
88	C₂²×C₄×C₃₁	#41	1	2	yes	—
89	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
90	D₈×C₃₁	—	4	4	no	—
91	C₂×C₈×C₃₁	—	2	8	no	—
92	C₂×C₈×C₃₁	—	2	2	no	—
93	C₂×C₈×C₃₁	—	2	2	no	—
94	C₂×C₈×C₃₁	—	2	2	no	—
95	C₂×C₈×C₃₁	—	2	8	no	—
96	C₂×C₈×C₃₁	C₂×D₄	1	2	yes	—
97	C₂×C₈×C₃₁	C₂×D₄	1	2	yes	—
98	C₂×C₈×C₃₁	#41	1	4	yes	—
99	C₂×C₈×C₃₁	#41	1	4	yes	—
100	C₄⋊C₄×C₃₁	—	2	2	no	—
101	C₄⋊C₄×C₃₁	—	2	4	no	—
102	C₄⋊C₄×C₃₁	—	2	4	no	—
103	C₄⋊C₄×C₃₁	—	2	2	no	—
104	C₄⋊C₄×C₃₁	—	4	8	no	—
105	C₂²⋊C₄×C₃₁	—	4	4	no	—
106	C₂²⋊C₄×C₃₁	—	4	4	no	—
107	C₂²⋊C₄×C₃₁	—	4	8	no	—
108	C₂²⋊C₄×C₃₁	—	4	8	no	—
109	C₄²×C₃₁	—	2	4	no	—
110	C₄²×C₃₁	—	2	2	no	—
111	C₄²×C₃₁	—	2	2	no	—
112	#33129	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
113	C₂³×C₃₁	—	2	2	no	—
114	C₂³×C₃₁	—	2	2	no	—
115	C₂³×C₃₁	—	4	2	no	—
116	C₂³×C₃₁	—	4	4	no	—
117	C₂³×C₃₁	—	4	2	no	—
118	C₂³×C₃₁	—	4	4	no	—
119	C₂³×C₃₁	—	4	2	no	—
120	C₂³×C₃₁	#121	1	2	yes	—
121	C₂³×C₃₁	C₂×D₈	1	2	yes	—
122	C₂³×C₃₁	#135	1	2	yes	—
123	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
124	D₄×C₃₁	—	4	2	no	—
125	D₄×C₃₁	—	4	2	no	—
126	D₄×C₃₁	—	4	4	no	—
127	D₄×C₃₁	—	8	8	no	—
128	C₂×C₄×C₃₁	—	2	8	no	—
129	C₂×C₄×C₃₁	—	2	2	no	—
130	C₂×C₄×C₃₁	—	2	2	no	—
131	C₂×C₄×C₃₁	—	2	2	no	—
132	C₂×C₄×C₃₁	—	2	2	no	—
133	C₂×C₄×C₃₁	—	2	2	no	—
134	C₂×C₄×C₃₁	—	2	8	no	—
135	C₂×C₄×C₃₁	—	2	2	no	—
136	C₂×C₄×C₃₁	—	2	2	no	—
137	C₂×C₄×C₃₁	—	2	4	no	—
138	C₂×C₄×C₃₁	—	4	2	no	—
139	C₂×C₄×C₃₁	—	4	4	no	—
140	C₂×C₄×C₃₁	—	4	4	no	—
141	C₂×C₄×C₃₁	—	4	2	no	—
142	C₂×C₄×C₃₁	—	4	4	no	—
143	C₂×C₄×C₃₁	—	4	2	no	—
144	C₂×C₄×C₃₁	#121	1	2	yes	—
145	C₂×C₄×C₃₁	C₂×D₈	1	4	yes	—
146	C₂×C₄×C₃₁	#135	1	4	yes	—
147	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
148	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
149	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
150	C₂×C₄×C₃₁	C₂×#41	1	1	yes	characteristic
151	C₈×C₃₁	—	2	2	no	—
152	C₈×C₃₁	—	2	4	no	—
153	C₈×C₃₁	#123	1	4	yes	complemented
154	C₂×#466	C₂×C₃₁	1	1	yes	characteristic
155	C₂²×C₄×C₈	C₂×C₃₁	1	1	yes	characteristic, complemented
156	#2854	C₂×C₃₁	1	2	yes	complemented
157	#1970	C₂×C₃₁	1	2	yes	complemented
158	#1942	C₂×C₃₁	1	2	yes	complemented
159	#1934	C₂×C₃₁	1	4	yes	complemented
160	#1893	C₂×C₃₁	1	2	yes	complemented
161	#1808	C₂×C₃₁	1	1	yes	characteristic, complemented
162	C₂²×C₃₁	—	2	2	no	—
163	C₂²×C₃₁	—	2	4	no	—
164	C₂²×C₃₁	—	2	4	no	—
165	C₂²×C₃₁	—	2	2	no	—
166	C₂²×C₃₁	—	8	2	no	—
167	C₂²×C₃₁	—	8	4	no	—
168	C₂²×C₃₁	—	8	4	no	—
169	C₂²×C₃₁	—	8	2	no	—
170	C₂²×C₃₁	—	8	2	no	—
171	C₂²×C₃₁	#466	1	4	yes	—
172	C₂²×C₃₁	C₂×#121	1	1	yes	characteristic
173	C₂²×C₃₁	#532	1	2	yes	—
174	C₂²×C₃₁	C₂²×D₈	1	1	yes	characteristic
175	C₂²×C₃₁	C₂×#135	1	1	yes	characteristic
176	C₂²×C₃₁	C₂×#135	1	2	yes	—
177	C₄×C₃₁	—	2	2	no	—
178	C₄×C₃₁	—	2	4	no	—
179	C₄×C₃₁	—	2	4	no	—
180	C₄×C₃₁	—	8	4	no	—
181	C₄×C₃₁	—	8	2	no	—
182	C₄×C₃₁	C₂×#123	1	1	yes	characteristic
183	C₄×C₃₁	#525	1	1	yes	characteristic
184	C₄×C₃₁	#529	1	2	yes	—
185	C₂²×D₈	C₂²×C₃₁	1	1	yes	characteristic
186	C₂³×C₈	C₂²×C₃₁	1	1	yes	characteristic
187	C₂³×C₈	C₂²×C₃₁	1	1	yes	characteristic
188	C₂×#123	—	2	2	no	—
189	C₂×#121	C₂²×C₃₁	1	2	yes	—
190	C₂²×C₄²	C₂²×C₃₁	1	1	yes	characteristic
191	#466	—	2	4	no	—
192	C₂×#107	C₂²×C₃₁	1	2	yes	—
193	C₂×#107	C₂²×C₃₁	1	1	yes	characteristic
194	C₂×#102	C₂²×C₃₁	1	4	yes	—
195	C₂×#102	C₂²×C₃₁	1	2	yes	—
196	C₂×C₄×C₈	—	2	4	no	—
197	C₂×C₄×C₈	C₂²×C₃₁	1	2	yes	—
198	C₂×C₄×C₈	C₂²×C₃₁	1	2	yes	—
199	#390	C₂²×C₃₁	1	4	yes	—
200	#389	C₂²×C₃₁	1	4	yes	—
201	#388	—	2	4	no	—
202	#386	—	2	2	no	—
203	#380	C₂²×C₃₁	1	2	yes	—
204	#340	C₂²×C₃₁	1	2	yes	—
205	#340	C₂²×C₃₁	1	4	yes	—
206	C₂×C₃₁	—	2	4	no	—
207	C₂×C₃₁	—	16	2	no	—
208	C₂×C₃₁	#2854	1	1	yes	characteristic
209	C₂×C₃₁	C₂×#466	1	1	yes	characteristic
210	C₂×C₃₁	#3050	1	1	yes	characteristic
211	C₂×C₃₁	#3168	1	2	yes	—
212	C₂×C₃₁	#3169	1	2	yes	—
213	C₂²×D₄	—	2	2	no	—
214	C₂²×D₄	C₂³×C₃₁	1	2	yes	—
215	C₂³×C₄	D₄×C₃₁	1	1	yes	characteristic
216	C₂³×C₄	D₄×C₃₁	1	1	yes	characteristic
217	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
218	C₂×D₈	—	2	2	no	—
219	C₂×D₈	—	2	4	no	—
220	C₂²×C₈	—	2	2	no	—
221	C₂²×C₈	—	2	4	no	—
222	C₂²×C₈	—	2	4	no	—
223	C₂²×C₈	D₄×C₃₁	1	4	yes	—
224	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
225	C₂²×C₈	C₂³×C₃₁	1	2	yes	—
226	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
227	#123	—	4	8	no	—
228	#121	—	2	4	no	—
229	#121	—	2	4	no	—
230	C₂×C₄⋊C₄	—	2	4	no	—
231	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
232	C₂×C₄⋊C₄	C₂³×C₃₁	1	4	yes	—
233	C₂×C₂²⋊C₄	—	2	2	no	—
234	C₂×C₂²⋊C₄	—	2	2	no	—
235	C₂×C₂²⋊C₄	—	2	4	no	—
236	C₂×C₂²⋊C₄	—	2	4	no	—
237	C₂×C₄²	—	2	2	no	—
238	C₂×C₄²	—	2	2	no	—
239	C₂×C₄²	D₄×C₃₁	1	2	yes	—
240	C₂×C₄²	C₂³×C₃₁	1	2	yes	—
241	#107	—	2	2	no	—
242	#107	—	2	4	no	—
243	#102	—	2	4	no	—
244	#102	—	2	8	no	—
245	C₄×C₈	—	2	4	no	—
246	C₄×C₈	—	2	4	no	—
247	#95	—	2	2	no	—
248	#95	—	2	4	no	—
249	C₃₁	#33129	1	1	yes	characteristic, direct product factor, Sylow
250	C₂⁴	—	2	2	no	—
251	C₂⁴	C₂×D₄×C₃₁	1	1	yes	characteristic
252	C₂×D₄	—	2	2	no	—
253	C₂×D₄	—	2	4	no	—
254	C₂×D₄	—	2	2	no	—
255	C₂×D₄	—	2	4	no	—
256	C₂×D₄	—	4	4	no	—
257	C₂×D₄	—	4	4	no	—
258	C₂×D₄	—	4	4	no	—
259	C₂²×C₄	—	2	2	no	—
260	C₂²×C₄	—	2	2	no	—
261	C₂²×C₄	—	2	2	no	—
262	C₂²×C₄	—	2	4	no	—
263	C₂²×C₄	—	2	2	no	—
264	C₂²×C₄	—	2	2	no	—
265	C₂²×C₄	—	2	4	no	—
266	C₂²×C₄	—	2	2	no	—
267	C₂²×C₄	D₈×C₃₁	1	4	yes	complemented
268	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
269	C₂²×C₄	C₂×D₄×C₃₁	1	2	yes	—
270	C₂²×C₄	C₂×D₄×C₃₁	1	2	yes	—
271	C₂²×C₄	C₂×D₄×C₃₁	1	2	yes	—
272	C₂²×C₄	#41×C₃₁	1	2	yes	—
273	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
274	D₈	—	4	4	no	—
275	C₂×C₈	—	2	8	no	—
276	C₂×C₈	—	2	2	no	—
277	C₂×C₈	—	2	2	no	—
278	C₂×C₈	—	2	2	no	—
279	C₂×C₈	—	2	8	no	—
280	C₂×C₈	C₂×D₄×C₃₁	1	2	yes	—
281	C₂×C₈	C₂×D₄×C₃₁	1	2	yes	—
282	C₂×C₈	#41×C₃₁	1	4	yes	—
283	C₂×C₈	#41×C₃₁	1	4	yes	—
284	C₄⋊C₄	—	2	2	no	—
285	C₄⋊C₄	—	2	4	no	—
286	C₄⋊C₄	—	2	4	no	—
287	C₄⋊C₄	—	2	2	no	—
288	C₄⋊C₄	—	4	8	no	—
289	C₂²⋊C₄	—	4	4	no	—
290	C₂²⋊C₄	—	4	4	no	—
291	C₂²⋊C₄	—	4	8	no	—
292	C₂²⋊C₄	—	4	8	no	—
293	C₄²	—	2	4	no	—
294	C₄²	—	2	2	no	—
295	C₄²	—	2	2	no	—
296	C₂³	—	2	2	no	—
297	C₂³	—	2	2	no	—
298	C₂³	—	4	2	no	—
299	C₂³	—	4	4	no	—
300	C₂³	—	4	2	no	—
301	C₂³	—	4	4	no	—
302	C₂³	—	4	2	no	—
303	C₂³	C₃₁×#121	1	2	yes	—
304	C₂³	C₂×D₈×C₃₁	1	2	yes	—
305	C₂³	C₃₁×#135	1	2	yes	—
306	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
307	D₄	—	4	2	no	—
308	D₄	—	4	2	no	—
309	D₄	—	4	4	no	—
310	D₄	—	8	8	no	—
311	C₂×C₄	—	2	8	no	—
312	C₂×C₄	—	2	8	no	—
313	C₂×C₄	—	2	2	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	—	2	4	no	—
321	C₂×C₄	—	4	2	no	—
322	C₂×C₄	—	4	4	no	—
323	C₂×C₄	—	4	4	no	—
324	C₂×C₄	—	4	2	no	—
325	C₂×C₄	—	4	4	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	C₃₁×#121	1	2	yes	—
328	C₂×C₄	C₂×D₈×C₃₁	1	4	yes	—
329	C₂×C₄	C₃₁×#135	1	4	yes	—
330	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
331	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
332	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
333	C₂×C₄	C₂×#41×C₃₁	1	1	yes	characteristic
334	C₈	—	2	2	no	—
335	C₈	—	2	4	no	—
336	C₈	C₃₁×#123	1	4	yes	complemented
337	C₂²	—	2	2	no	—
338	C₂²	—	2	4	no	—
339	C₂²	—	2	4	no	—
340	C₂²	—	2	2	no	—
341	C₂²	—	8	2	no	—
342	C₂²	—	8	4	no	—
343	C₂²	—	8	4	no	—
344	C₂²	—	8	2	no	—
345	C₂²	—	8	2	no	—
346	C₂²	C₃₁×#466	1	4	yes	—
347	C₂²	C₂×C₃₁×#121	1	1	yes	characteristic
348	C₂²	C₃₁×#532	1	2	yes	—
349	C₂²	C₂²×D₈×C₃₁	1	1	yes	characteristic
350	C₂²	C₂×C₃₁×#135	1	1	yes	characteristic
351	C₂²	C₂×C₃₁×#135	1	2	yes	—
352	C₄	—	2	2	no	—
353	C₄	—	2	4	no	—
354	C₄	—	2	4	no	—
355	C₄	—	8	4	no	—
356	C₄	—	8	2	no	—
357	C₄	C₂×C₃₁×#123	1	1	yes	characteristic
358	C₄	C₃₁×#525	1	1	yes	characteristic
359	C₄	C₃₁×#529	1	2	yes	—
360	C₂	—	2	4	no	—
361	C₂	—	16	2	no	—
362	C₂	C₃₁×#2854	1	1	yes	characteristic
363	C₂	C₂×C₃₁×#466	1	1	yes	characteristic
364	C₂	C₃₁×#3050	1	1	yes	characteristic
365	C₂	C₃₁×#3168	1	2	yes	—
366	C₂	C₃₁×#3169	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₃₁	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₃₁
prime radical	C₂×C₃₁×#466	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₃₁ ◁ C₂²×C₄²×C₃₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂²×C₄×C₈×C₃₁	C₂	semidirect
3. C₃₁×#2854	C₂	semidirect
4. C₃₁×#1970	C₂	semidirect
5. C₃₁×#1942	C₂	semidirect
6. C₃₁×#1934	C₂	semidirect
7. C₃₁×#1893	C₂	semidirect
8. C₃₁×#1808	C₂	semidirect
83. C₂²×C₄×C₃₁	D₈	semidirect
112. #33129	C₃₁	direct (N × H)
153. C₈×C₃₁	#123	semidirect
155. C₂²×C₄×C₈	C₂×C₃₁	semidirect
156. #2854	C₂×C₃₁	semidirect
157. #1970	C₂×C₃₁	semidirect
158. #1942	C₂×C₃₁	semidirect
159. #1934	C₂×C₃₁	semidirect
160. #1893	C₂×C₃₁	semidirect
161. #1808	C₂×C₃₁	semidirect
249. C₃₁	#33129	direct (N × H)
267. C₂²×C₄	D₈×C₃₁	semidirect
336. C₈	C₃₁×#123	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃₁×#466	2
C₂²×C₄×C₈×C₃₁	2
C₃₁×#2854	2
C₃₁×#1970	2
C₃₁×#1942	2
C₃₁×#1934	2
C₃₁×#1893	2
C₃₁×#1808	2
#33129	31

Subgroups — C31×#33129 #21489888

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#33129 #21489888