Subgroups — C₃₁×#62616 #21519375

Order 7936.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3552	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3374	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3373	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3365	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3359	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3332	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3331	C₂	1	2	yes	maximal, complemented
9	C₃₁×#3328	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3326	C₂	1	2	yes	maximal, complemented
11	C₃₁×#3316	C₂	1	2	yes	maximal, complemented
12	C₃₁×#3307	C₂	1	2	yes	maximal, complemented
13	C₃₁×#3304	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3298	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3244	C₂	1	2	yes	maximal, complemented
16	C₃₁×#3229	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3225	C₂	1	2	yes	maximal, complemented
18	C₃₁×#3212	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3173	C₂	1	2	yes	maximal, complemented
20	C₃₁×#3172	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3141	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3137	C₂	1	2	yes	maximal, complemented
23	C₃₁×#2969	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#563	—	2	2	no	—
25	C₃₁×#562	—	2	2	no	—
26	C₃₁×#559	—	2	1	no	—
27	C₃₁×#559	C₂²	1	1	yes	characteristic
28	C₃₁×#557	C₂²	1	1	yes	characteristic
29	C₃₁×#557	C₂²	1	1	yes	characteristic
30	C₃₁×#556	C₂²	1	1	yes	characteristic
31	C₃₁×#554	—	2	1	no	—
32	C₃₁×#554	C₂²	1	2	yes	—
33	C₃₁×#553	C₂²	1	2	yes	—
34	C₃₁×#550	C₂²	1	1	yes	characteristic
35	D₄×Q₈×C₃₁	—	2	1	no	—
36	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
37	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
38	C₃₁×#548	—	2	1	no	—
39	C₃₁×#548	C₂²	1	2	yes	—
40	C₃₁×#547	C₂²	1	2	yes	—
41	C₃₁×#547	C₂²	1	1	yes	characteristic
42	C₃₁×#544	C₂²	1	2	yes	—
43	C₃₁×#542	—	2	1	no	—
44	C₃₁×#542	C₂²	1	2	yes	—
45	C₃₁×#542	C₂²	1	2	yes	—
46	C₃₁×#541	—	2	1	no	—
47	C₃₁×#540	—	2	1	no	—
48	C₃₁×#539	—	2	2	no	—
49	C₃₁×#539	—	2	2	no	—
50	C₃₁×#536	—	2	1	no	—
51	C₃₁×#536	C₂²	1	2	yes	—
52	C₃₁×#533	C₂²	1	1	yes	characteristic
53	C₃₁×#532	C₂²	1	1	yes	characteristic
54	C₂×C₃₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
55	C₃₁×#529	C₂²	1	1	yes	characteristic
56	C₃₁×#529	C₂²	1	1	yes	characteristic
57	C₃₁×#501	C₂²	1	1	yes	characteristic
58	C₃₁×#498	C₂²	1	2	yes	—
59	C₃₁×#497	C₂²	1	1	yes	characteristic
60	C₃₁×#495	C₂²	1	2	yes	—
61	C₃₁×#491	C₂²	1	2	yes	—
62	C₃₁×#491	C₂²	1	1	yes	characteristic
63	C₃₁×#489	C₂²	1	2	yes	—
64	C₃₁×#489	C₂²	1	2	yes	—
65	C₃₁×#489	C₂²	1	2	yes	—
66	C₃₁×#489	C₂²	1	1	yes	characteristic
67	C₃₁×#488	C₂²	1	2	yes	—
68	C₃₁×#488	C₂²	1	2	yes	—
69	C₃₁×#487	C₂²	1	2	yes	—
70	C₃₁×#487	C₂²	1	1	yes	characteristic
71	C₃₁×#487	C₂²	1	1	yes	characteristic
72	C₃₁×#487	C₂²	1	2	yes	—
73	C₃₁×#486	C₂²	1	1	yes	characteristic
74	C₃₁×#486	C₂²	1	1	yes	characteristic
75	C₃₁×#485	C₂²	1	2	yes	—
76	C₃₁×#483	C₂²	1	2	yes	—
77	C₃₁×#483	C₂²	1	2	yes	—
78	C₃₁×#483	C₂²	1	2	yes	—
79	C₃₁×#482	C₂²	1	2	yes	—
80	C₃₁×#481	C₂²	1	2	yes	—
81	C₃₁×#479	C₂²	1	2	yes	—
82	C₃₁×#478	C₂²	1	2	yes	—
83	C₃₁×#476	C₂²	1	2	yes	—
84	C₃₁×#475	C₂²	1	1	yes	characteristic
85	C₃₁×#475	C₂²	1	1	yes	characteristic
86	C₃₁×#475	C₂²	1	2	yes	—
87	C₃₁×#475	C₂²	1	1	yes	characteristic
88	C₃₁×#475	C₂²	1	1	yes	characteristic
89	C₃₁×#470	C₂²	1	1	yes	characteristic
90	C₃₁×#470	C₂²	1	2	yes	—
91	C₃₁×#470	C₂²	1	1	yes	characteristic
92	C₃₁×#469	C₂²	1	2	yes	—
93	C₃₁×#468	C₂²	1	1	yes	characteristic
94	C₃₁×#468	C₂²	1	1	yes	characteristic
95	C₃₁×#465	C₂²	1	2	yes	—
96	C₃₁×#465	C₂²	1	2	yes	—
97	C₃₁×#464	C₂²	1	2	yes	—
98	C₃₁×#463	C₂²	1	2	yes	—
99	C₃₁×#462	C₂²	1	2	yes	—
100	C₃₁×#462	C₂²	1	1	yes	characteristic
101	C₃₁×#461	C₂²	1	1	yes	characteristic
102	C₃₁×#461	C₂²	1	2	yes	—
103	C₃₁×#460	C₂²	1	1	yes	characteristic
104	C₃₁×#459	C₂²	1	1	yes	characteristic
105	C₃₁×#452	C₂²	1	2	yes	—
106	C₃₁×#452	C₂²	1	2	yes	—
107	C₃₁×#451	C₂²	1	2	yes	—
108	C₃₁×#449	C₂²	1	2	yes	—
109	C₃₁×#449	C₂²	1	2	yes	—
110	C₃₁×#448	C₂²	1	2	yes	—
111	C₃₁×#446	C₂²	1	1	yes	characteristic
112	C₈×Q₈×C₃₁	C₂²	1	1	yes	characteristic
113	C₃₁×#442	C₂²	1	2	yes	—
114	C₃₁×#441	C₂²	1	2	yes	—
115	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
116	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
117	C₄×SD₁₆×C₃₁	C₂²	1	2	yes	—
118	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
119	C₄×SD₁₆×C₃₁	C₂²	1	2	yes	—
120	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
121	C₃₁×#436	C₂²	1	2	yes	—
122	C₃₁×#436	C₂²	1	1	yes	characteristic
123	C₃₁×#435	C₂²	1	2	yes	—
124	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic
125	C₃₁×#433	C₂²	1	2	yes	—
126	C₃₁×#431	C₂²	1	1	yes	characteristic
127	C₃₁×#419	C₂²	1	2	yes	—
128	C₃₁×#417	C₂²	1	2	yes	—
129	C₃₁×#417	C₂²	1	2	yes	—
130	C₃₁×#417	C₂²	1	2	yes	—
131	C₃₁×#416	C₂²	1	2	yes	—
132	C₂×C₃₁×#103	C₂²	1	2	yes	—
133	C₃₁×#405	C₂²	1	2	yes	—
134	C₄×M₁₆×C₃₁	C₂²	1	1	yes	characteristic
135	C₂×#41×C₃₁	—	2	1	no	—
136	C₂×#41×C₃₁	C₂³	1	2	yes	—
137	C₂×#41×C₃₁	C₂³	1	2	yes	—
138	C₂²×Q₈×C₃₁	—	2	1	no	—
139	C₂²×Q₈×C₃₁	—	2	1	no	—
140	C₂²×Q₈×C₃₁	C₂³	1	2	yes	—
141	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
142	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
143	C₂×Q₁₆×C₃₁	C₂³	1	2	yes	—
144	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
145	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
146	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
147	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
148	C₂×D₈×C₃₁	C₂³	1	2	yes	—
149	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
150	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
151	C₂×M₁₆×C₃₁	C₂³	1	2	yes	—
152	C₂²×C₈×C₃₁	C₂³	1	2	yes	—
153	C₃₁×C₄⋊Q₈	—	2	1	no	—
154	C₃₁×C₄⋊Q₈	—	2	1	no	—
155	C₃₁×C₄⋊Q₈	—	2	2	no	—
156	C₃₁×C₄⋊Q₈	—	2	1	no	—
157	C₃₁×C₄⋊Q₈	—	2	1	no	—
158	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
159	C₃₁×C₄⋊Q₈	C₂³	1	2	yes	—
160	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₃₁×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₃₁×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₃₁×#127	—	2	1	no	—
167	C₃₁×#127	C₂³	1	1	yes	characteristic
168	C₃₁×#126	—	2	2	no	—
169	C₃₁×#126	—	2	2	no	—
170	C₃₁×#126	—	2	2	no	—
171	C₃₁×#126	—	2	2	no	—
172	C₃₁×#126	—	2	1	no	—
173	C₃₁×#126	D₄	1	2	yes	—
174	C₃₁×#125	—	2	2	no	—
175	C₃₁×#125	—	2	2	no	—
176	C₃₁×#125	—	2	2	no	—
177	C₃₁×#125	—	2	1	no	—
178	C₃₁×#125	—	2	2	no	—
179	C₃₁×#125	—	2	1	no	—
180	C₃₁×#125	D₄	1	1	yes	characteristic
181	C₃₁×#125	C₂³	1	2	yes	—
182	C₃₁×#125	C₂³	1	1	yes	characteristic
183	C₃₁×#124	—	2	1	no	—
184	C₃₁×#124	—	2	1	no	—
185	C₃₁×#124	—	2	2	no	—
186	C₃₁×#124	—	2	2	no	—
187	C₃₁×#124	—	2	2	no	—
188	C₃₁×#124	D₄	1	1	yes	characteristic
189	C₃₁×#124	C₂³	1	2	yes	—
190	C₃₁×#124	C₂³	1	2	yes	—
191	C₃₁×#124	C₂³	1	1	yes	characteristic
192	C₃₁×#123	—	2	1	no	—
193	C₃₁×#123	—	2	2	no	—
194	C₃₁×#123	—	2	2	no	—
195	C₃₁×#123	—	2	2	no	—
196	C₃₁×#123	—	2	2	no	—
197	C₃₁×#123	—	2	2	no	—
198	C₃₁×#123	—	2	2	no	—
199	C₃₁×#123	—	2	2	no	—
200	C₃₁×#123	—	2	2	no	—
201	C₃₁×#123	—	2	2	no	—
202	C₃₁×#123	D₄	1	2	yes	—
203	C₃₁×C₂²⋊Q₈	—	2	1	no	—
204	C₃₁×C₂²⋊Q₈	—	2	2	no	—
205	C₃₁×C₂²⋊Q₈	—	2	2	no	—
206	C₃₁×C₂²⋊Q₈	—	2	2	no	—
207	C₃₁×C₂²⋊Q₈	—	2	2	no	—
208	C₃₁×C₂²⋊Q₈	—	2	1	no	—
209	C₃₁×C₂²⋊Q₈	—	2	1	no	—
210	C₃₁×C₂²⋊Q₈	—	2	2	no	—
211	C₃₁×C₂²⋊Q₈	—	2	2	no	—
212	C₃₁×C₂²⋊Q₈	—	2	2	no	—
213	C₃₁×C₂²⋊Q₈	—	2	2	no	—
214	C₃₁×C₂²⋊Q₈	—	2	2	no	—
215	C₃₁×C₂²⋊Q₈	—	2	2	no	—
216	C₃₁×C₂²⋊Q₈	—	2	2	no	—
217	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
218	C₃₁×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
220	C₃₁×C₂²⋊Q₈	C₂³	1	2	yes	—
221	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₃₁×#121	—	2	2	no	—
224	C₃₁×#121	—	2	2	no	—
225	C₃₁×#121	—	2	2	no	—
226	C₃₁×#121	—	2	1	no	—
227	C₃₁×#121	—	2	1	no	—
228	C₃₁×#121	—	2	2	no	—
229	C₃₁×#121	D₄	1	1	yes	characteristic
230	C₃₁×#121	C₂³	1	2	yes	—
231	C₃₁×#121	C₂³	1	1	yes	characteristic
232	C₃₁×#121	C₂³	1	2	yes	—
233	C₄×Q₈×C₃₁	—	2	1	no	—
234	C₄×Q₈×C₃₁	—	2	1	no	—
235	C₄×Q₈×C₃₁	—	2	1	no	—
236	C₄×Q₈×C₃₁	—	2	1	no	—
237	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₃₁	C₂³	1	2	yes	—
240	C₄×Q₈×C₃₁	C₂³	1	2	yes	—
241	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
242	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₃₁	—	2	2	no	—
244	C₄×D₄×C₃₁	—	2	1	no	—
245	C₄×D₄×C₃₁	—	2	1	no	—
246	C₄×D₄×C₃₁	—	2	1	no	—
247	C₄×D₄×C₃₁	—	2	1	no	—
248	C₄×D₄×C₃₁	—	2	2	no	—
249	C₄×D₄×C₃₁	—	2	2	no	—
250	C₄×D₄×C₃₁	—	2	1	no	—
251	C₄×D₄×C₃₁	—	2	1	no	—
252	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₃₁	C₂³	1	2	yes	—
254	C₄×D₄×C₃₁	C₂³	1	2	yes	—
255	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
256	C₄×D₄×C₃₁	C₂³	1	2	yes	—
257	C₃₁×#117	—	2	1	no	—
258	C₃₁×#117	—	2	1	no	—
259	C₃₁×#117	C₂³	1	2	yes	—
260	C₃₁×#117	C₂³	1	2	yes	—
261	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
262	C₂×C₄⋊C₄×C₃₁	—	2	2	no	—
263	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
264	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
265	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
266	C₃₁×#107	C₂³	1	1	yes	characteristic
267	C₃₁×#107	C₂³	1	1	yes	characteristic
268	C₃₁×#106	C₂³	1	2	yes	—
269	C₃₁×#106	C₂³	1	2	yes	—
270	C₃₁×#106	C₂³	1	1	yes	characteristic
271	C₃₁×#106	C₂³	1	1	yes	characteristic
272	C₃₁×#106	C₂³	1	2	yes	—
273	C₃₁×#106	C₂³	1	2	yes	—
274	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
275	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₃₁×C₄⋊C₈	C₂³	1	2	yes	—
277	C₃₁×C₄⋊C₈	C₂³	1	2	yes	—
278	C₃₁×#103	C₂³	1	1	yes	characteristic
279	C₃₁×#103	C₂³	1	2	yes	—
280	C₃₁×#103	C₂³	1	2	yes	—
281	C₃₁×#103	C₂³	1	2	yes	—
282	C₃₁×#103	C₂³	1	1	yes	characteristic
283	C₃₁×#103	C₂³	1	2	yes	—
284	C₃₁×#103	C₂³	1	1	yes	characteristic
285	C₃₁×#103	C₂³	1	2	yes	—
286	C₃₁×#103	C₂³	1	2	yes	—
287	C₃₁×#103	C₂³	1	2	yes	—
288	C₃₁×#103	C₂³	1	2	yes	—
289	C₃₁×#103	C₂³	1	1	yes	characteristic
290	C₃₁×#103	C₂³	1	2	yes	—
291	C₃₁×#103	C₂³	1	2	yes	—
292	C₃₁×#103	C₂³	1	1	yes	characteristic
293	C₃₁×#103	C₂³	1	1	yes	characteristic
294	C₃₁×#102	C₂³	1	2	yes	—
295	C₃₁×#102	C₂³	1	2	yes	—
296	C₃₁×#102	C₂³	1	2	yes	—
297	C₃₁×#102	C₂³	1	2	yes	—
298	C₃₁×#102	C₂³	1	2	yes	—
299	C₃₁×#102	C₂³	1	2	yes	—
300	C₃₁×#102	C₂³	1	1	yes	characteristic
301	C₃₁×#102	C₂³	1	1	yes	characteristic
302	C₃₁×C₂²⋊C₈	C₂³	1	2	yes	—
303	C₃₁×C₂²⋊C₈	C₂³	1	2	yes	—
304	C₃₁×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₃₁×#97	C₂³	1	1	yes	characteristic
306	C₃₁×#97	C₂³	1	1	yes	characteristic
307	C₃₁×#97	C₂³	1	2	yes	—
308	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₃₁	C₂³	1	2	yes	—
311	C₄×C₈×C₃₁	C₂³	1	2	yes	—
312	#41×C₃₁	—	4	2	no	—
313	#41×C₃₁	—	4	2	no	—
314	#41×C₃₁	—	4	2	no	—
315	#41×C₃₁	—	4	2	no	—
316	#41×C₃₁	—	8	2	no	—
317	C₂×Q₈×C₃₁	—	2	1	no	—
318	C₂×Q₈×C₃₁	—	2	1	no	—
319	C₂×Q₈×C₃₁	—	2	1	no	—
320	C₂×Q₈×C₃₁	—	2	2	no	—
321	C₂×Q₈×C₃₁	—	2	2	no	—
322	C₂×Q₈×C₃₁	—	2	2	no	—
323	C₂×Q₈×C₃₁	—	4	2	no	—
324	C₂×Q₈×C₃₁	—	4	2	no	—
325	C₂×Q₈×C₃₁	—	8	2	no	—
326	C₂×Q₈×C₃₁	—	8	2	no	—
327	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
328	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
329	C₂×Q₈×C₃₁	C₂⁴	1	2	yes	—
330	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
331	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₃₁	—	2	1	no	—
333	C₂×D₄×C₃₁	—	2	2	no	—
334	C₂×D₄×C₃₁	—	2	2	no	—
335	C₂×D₄×C₃₁	—	2	2	no	—
336	C₂×D₄×C₃₁	—	2	2	no	—
337	C₂×D₄×C₃₁	—	2	1	no	—
338	C₂×D₄×C₃₁	—	2	1	no	—
339	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
340	C₂×D₄×C₃₁	C₂×D₄	1	2	yes	—
341	C₂×D₄×C₃₁	C₂⁴	1	2	yes	—
342	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₃₁	—	2	2	no	—
344	C₂²×C₄×C₃₁	—	2	2	no	—
345	C₂²×C₄×C₃₁	—	2	2	no	—
346	C₂²×C₄×C₃₁	—	2	1	no	—
347	C₂²×C₄×C₃₁	—	2	2	no	—
348	C₂²×C₄×C₃₁	—	2	2	no	—
349	C₂²×C₄×C₃₁	—	2	2	no	—
350	C₂²×C₄×C₃₁	—	2	2	no	—
351	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
352	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
353	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₃₁	C₂⁴	1	2	yes	—
355	Q₁₆×C₃₁	—	4	2	no	—
356	Q₁₆×C₃₁	—	4	1	no	—
357	Q₁₆×C₃₁	—	4	1	no	—
358	SD₁₆×C₃₁	—	4	2	no	—
359	SD₁₆×C₃₁	—	4	2	no	—
360	SD₁₆×C₃₁	—	4	1	no	—
361	SD₁₆×C₃₁	—	4	1	no	—
362	D₈×C₃₁	—	4	2	no	—
363	M₁₆×C₃₁	—	4	1	no	—
364	M₁₆×C₃₁	—	4	2	no	—
365	M₁₆×C₃₁	—	4	1	no	—
366	C₂×C₈×C₃₁	—	4	2	no	—
367	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₃₁	C₂⁴	1	2	yes	—
369	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
370	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
371	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₃₁	C₂⁴	1	2	yes	—
373	C₄⋊C₄×C₃₁	—	2	1	no	—
374	C₄⋊C₄×C₃₁	—	2	2	no	—
375	C₄⋊C₄×C₃₁	—	2	2	no	—
376	C₄⋊C₄×C₃₁	—	2	1	no	—
377	C₄⋊C₄×C₃₁	—	2	2	no	—
378	C₄⋊C₄×C₃₁	—	2	1	no	—
379	C₄⋊C₄×C₃₁	—	2	2	no	—
380	C₄⋊C₄×C₃₁	—	2	2	no	—
381	C₄⋊C₄×C₃₁	—	2	1	no	—
382	C₄⋊C₄×C₃₁	—	2	1	no	—
383	C₄⋊C₄×C₃₁	—	2	1	no	—
384	C₄⋊C₄×C₃₁	—	2	1	no	—
385	C₄⋊C₄×C₃₁	—	2	1	no	—
386	C₄⋊C₄×C₃₁	—	2	1	no	—
387	C₄⋊C₄×C₃₁	—	2	1	no	—
388	C₄⋊C₄×C₃₁	—	2	2	no	—
389	C₄⋊C₄×C₃₁	—	2	1	no	—
390	C₄⋊C₄×C₃₁	—	2	2	no	—
391	C₄⋊C₄×C₃₁	—	2	2	no	—
392	C₄⋊C₄×C₃₁	—	2	1	no	—
393	C₄⋊C₄×C₃₁	—	2	2	no	—
394	C₄⋊C₄×C₃₁	—	2	2	no	—
395	C₄⋊C₄×C₃₁	—	2	1	no	—
396	C₄⋊C₄×C₃₁	—	2	2	no	—
397	C₄⋊C₄×C₃₁	—	2	1	no	—
398	C₄⋊C₄×C₃₁	—	2	2	no	—
399	C₄⋊C₄×C₃₁	—	2	1	no	—
400	C₄⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
401	C₄⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
402	C₄⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
403	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
404	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
405	C₄⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
406	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₃₁	C₂⁴	1	2	yes	—
408	C₄⋊C₄×C₃₁	C₂⁴	1	2	yes	—
409	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
410	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
411	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
412	C₂²⋊C₄×C₃₁	—	2	1	no	—
413	C₂²⋊C₄×C₃₁	—	2	1	no	—
414	C₂²⋊C₄×C₃₁	—	2	2	no	—
415	C₂²⋊C₄×C₃₁	—	2	1	no	—
416	C₂²⋊C₄×C₃₁	—	2	2	no	—
417	C₂²⋊C₄×C₃₁	—	2	2	no	—
418	C₂²⋊C₄×C₃₁	—	2	1	no	—
419	C₂²⋊C₄×C₃₁	—	2	1	no	—
420	C₂²⋊C₄×C₃₁	—	2	2	no	—
421	C₂²⋊C₄×C₃₁	—	2	2	no	—
422	C₂²⋊C₄×C₃₁	—	2	2	no	—
423	C₂²⋊C₄×C₃₁	—	2	2	no	—
424	C₂²⋊C₄×C₃₁	—	2	2	no	—
425	C₂²⋊C₄×C₃₁	—	2	1	no	—
426	C₂²⋊C₄×C₃₁	—	2	2	no	—
427	C₂²⋊C₄×C₃₁	—	2	2	no	—
428	C₂²⋊C₄×C₃₁	—	2	1	no	—
429	C₂²⋊C₄×C₃₁	—	2	2	no	—
430	C₂²⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
431	C₂²⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
432	C₂²⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
433	C₂²⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
434	C₂²⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
435	C₄²×C₃₁	—	2	1	no	—
436	C₄²×C₃₁	—	2	1	no	—
437	C₄²×C₃₁	—	2	1	no	—
438	C₄²×C₃₁	—	2	2	no	—
439	C₄²×C₃₁	—	2	2	no	—
440	C₄²×C₃₁	—	2	2	no	—
441	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
442	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
443	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
444	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
445	C₄²×C₃₁	C₂⁴	1	2	yes	—
446	#62616	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
447	C₂³×C₃₁	—	2	1	no	—
448	C₂³×C₃₁	—	2	2	no	—
449	C₂³×C₃₁	C₂²×D₄	1	2	yes	—
450	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
451	Q₈×C₃₁	—	2	2	no	—
452	Q₈×C₃₁	—	2	1	no	—
453	Q₈×C₃₁	—	2	1	no	—
454	Q₈×C₃₁	—	2	2	no	—
455	Q₈×C₃₁	—	2	1	no	—
456	Q₈×C₃₁	—	2	1	no	—
457	Q₈×C₃₁	—	2	1	no	—
458	Q₈×C₃₁	—	2	2	no	—
459	Q₈×C₃₁	—	2	1	no	—
460	Q₈×C₃₁	—	4	2	no	—
461	Q₈×C₃₁	—	4	2	no	—
462	Q₈×C₃₁	—	8	1	no	—
463	Q₈×C₃₁	—	8	2	no	—
464	Q₈×C₃₁	—	8	2	no	—
465	Q₈×C₃₁	—	8	2	no	—
466	D₄×C₃₁	—	2	2	no	—
467	D₄×C₃₁	—	2	1	no	—
468	D₄×C₃₁	—	2	2	no	—
469	D₄×C₃₁	—	2	1	no	—
470	D₄×C₃₁	—	2	2	no	—
471	D₄×C₃₁	—	4	2	no	—
472	D₄×C₃₁	—	4	2	no	—
473	D₄×C₃₁	—	4	2	no	—
474	D₄×C₃₁	—	8	1	no	—
475	D₄×C₃₁	—	8	2	no	—
476	D₄×C₃₁	—	8	2	no	—
477	D₄×C₃₁	—	8	2	no	—
478	D₄×C₃₁	—	8	2	no	—
479	C₂×C₄×C₃₁	—	2	2	no	—
480	C₂×C₄×C₃₁	—	2	2	no	—
481	C₂×C₄×C₃₁	—	2	2	no	—
482	C₂×C₄×C₃₁	—	2	1	no	—
483	C₂×C₄×C₃₁	—	2	1	no	—
484	C₂×C₄×C₃₁	—	2	1	no	—
485	C₂×C₄×C₃₁	—	2	1	no	—
486	C₂×C₄×C₃₁	—	2	1	no	—
487	C₂×C₄×C₃₁	—	2	1	no	—
488	C₂×C₄×C₃₁	—	2	1	no	—
489	C₂×C₄×C₃₁	—	2	2	no	—
490	C₂×C₄×C₃₁	—	2	2	no	—
491	C₂×C₄×C₃₁	—	2	1	no	—
492	C₂×C₄×C₃₁	—	2	2	no	—
493	C₂×C₄×C₃₁	—	2	1	no	—
494	C₂×C₄×C₃₁	—	4	1	no	—
495	C₂×C₄×C₃₁	—	4	2	no	—
496	C₂×C₄×C₃₁	—	8	2	no	—
497	C₂×C₄×C₃₁	—	8	2	no	—
498	C₂×C₄×C₃₁	—	8	2	no	—
499	C₂×C₄×C₃₁	—	8	2	no	—
500	C₂×C₄×C₃₁	—	8	2	no	—
501	C₂×C₄×C₃₁	—	8	2	no	—
502	C₂×C₄×C₃₁	—	8	2	no	—
503	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
504	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
505	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
506	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
512	C₈×C₃₁	—	2	1	no	—
513	C₈×C₃₁	—	2	2	no	—
514	C₈×C₃₁	—	2	1	no	—
515	C₈×C₃₁	—	2	2	no	—
516	C₈×C₃₁	—	2	1	no	—
517	C₈×C₃₁	—	2	1	no	—
518	#3554	C₂×C₃₁	1	1	yes	characteristic, complemented
519	#3552	C₂×C₃₁	1	1	yes	characteristic, complemented
520	#3374	C₂×C₃₁	1	1	yes	characteristic, complemented
521	#3373	C₂×C₃₁	1	1	yes	characteristic, complemented
522	#3365	C₂×C₃₁	1	1	yes	characteristic, complemented
523	#3359	C₂×C₃₁	1	1	yes	characteristic, complemented
524	#3332	C₂×C₃₁	1	1	yes	characteristic, complemented
525	#3331	C₂×C₃₁	1	2	yes	complemented
526	#3328	C₂×C₃₁	1	1	yes	characteristic, complemented
527	#3326	C₂×C₃₁	1	2	yes	complemented
528	#3316	C₂×C₃₁	1	2	yes	complemented
529	#3307	C₂×C₃₁	1	2	yes	complemented
530	#3304	C₂×C₃₁	1	1	yes	characteristic, complemented
531	#3298	C₂×C₃₁	1	1	yes	characteristic, complemented
532	#3244	C₂×C₃₁	1	2	yes	complemented
533	#3229	C₂×C₃₁	1	1	yes	characteristic, complemented
534	#3225	C₂×C₃₁	1	2	yes	complemented
535	#3212	C₂×C₃₁	1	1	yes	characteristic, complemented
536	#3173	C₂×C₃₁	1	2	yes	complemented
537	#3172	C₂×C₃₁	1	1	yes	characteristic, complemented
538	#3141	C₂×C₃₁	1	1	yes	characteristic, complemented
539	#3137	C₂×C₃₁	1	2	yes	complemented
540	#2969	C₂×C₃₁	1	1	yes	characteristic, complemented
541	C₂²×C₃₁	—	2	1	no	—
542	C₂²×C₃₁	—	2	2	no	—
543	C₂²×C₃₁	—	2	2	no	—
544	C₂²×C₃₁	—	2	1	no	—
545	C₂²×C₃₁	—	2	1	no	—
546	C₂²×C₃₁	—	2	2	no	—
547	C₂²×C₃₁	—	4	2	no	—
548	C₂²×C₃₁	—	4	1	no	—
549	C₂²×C₃₁	—	4	2	no	—
550	C₂²×C₃₁	—	4	1	no	—
551	C₂²×C₃₁	—	4	1	no	—
552	C₂²×C₃₁	—	4	2	no	—
553	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
554	C₄×C₃₁	—	2	1	no	—
555	C₄×C₃₁	—	2	1	no	—
556	C₄×C₃₁	—	2	2	no	—
557	C₄×C₃₁	—	2	1	no	—
558	C₄×C₃₁	—	2	2	no	—
559	C₄×C₃₁	—	2	1	no	—
560	C₄×C₃₁	—	2	2	no	—
561	C₄×C₃₁	—	4	1	no	—
562	C₄×C₃₁	—	4	1	no	—
563	C₄×C₃₁	—	4	1	no	—
564	C₄×C₃₁	—	4	1	no	—
565	C₄×C₃₁	—	4	2	no	—
566	C₄×C₃₁	—	4	1	no	—
567	C₄×C₃₁	—	4	1	no	—
568	C₄×C₃₁	—	4	1	no	—
569	C₄×C₃₁	—	4	2	no	—
570	C₄×C₃₁	—	4	2	no	—
571	C₄×C₃₁	#577	1	2	yes	—
572	C₄×C₃₁	#585	1	1	yes	characteristic
573	C₄×C₃₁	#585	1	1	yes	characteristic
574	#563	—	2	2	no	—
575	#562	—	2	2	no	—
576	#559	—	2	1	no	—
577	#559	C₂²×C₃₁	1	1	yes	characteristic
578	#557	C₂²×C₃₁	1	1	yes	characteristic
579	#557	C₂²×C₃₁	1	1	yes	characteristic
580	#556	C₂²×C₃₁	1	1	yes	characteristic
581	#554	—	2	1	no	—
582	#554	C₂²×C₃₁	1	2	yes	—
583	#553	C₂²×C₃₁	1	2	yes	—
584	#550	C₂²×C₃₁	1	1	yes	characteristic
585	D₄×Q₈	—	2	1	no	—
586	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
587	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
588	#548	—	2	1	no	—
589	#548	C₂²×C₃₁	1	2	yes	—
590	#547	C₂²×C₃₁	1	2	yes	—
591	#547	C₂²×C₃₁	1	1	yes	characteristic
592	#544	C₂²×C₃₁	1	2	yes	—
593	#542	—	2	1	no	—
594	#542	C₂²×C₃₁	1	2	yes	—
595	#542	C₂²×C₃₁	1	2	yes	—
596	#541	—	2	1	no	—
597	#540	—	2	1	no	—
598	#539	—	2	2	no	—
599	#539	—	2	2	no	—
600	#536	—	2	1	no	—
601	#536	C₂²×C₃₁	1	2	yes	—
602	#533	C₂²×C₃₁	1	1	yes	characteristic
603	#532	C₂²×C₃₁	1	1	yes	characteristic
604	C₂×C₄⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
605	#529	C₂²×C₃₁	1	1	yes	characteristic
606	#529	C₂²×C₃₁	1	1	yes	characteristic
607	#501	C₂²×C₃₁	1	1	yes	characteristic
608	#498	C₂²×C₃₁	1	2	yes	—
609	#497	C₂²×C₃₁	1	1	yes	characteristic
610	#495	C₂²×C₃₁	1	2	yes	—
611	#491	C₂²×C₃₁	1	2	yes	—
612	#491	C₂²×C₃₁	1	1	yes	characteristic
613	#489	C₂²×C₃₁	1	2	yes	—
614	#489	C₂²×C₃₁	1	2	yes	—
615	#489	C₂²×C₃₁	1	2	yes	—
616	#489	C₂²×C₃₁	1	1	yes	characteristic
617	#488	C₂²×C₃₁	1	2	yes	—
618	#488	C₂²×C₃₁	1	2	yes	—
619	#487	C₂²×C₃₁	1	1	yes	characteristic
620	#487	C₂²×C₃₁	1	2	yes	—
621	#487	C₂²×C₃₁	1	1	yes	characteristic
622	#487	C₂²×C₃₁	1	2	yes	—
623	#486	C₂²×C₃₁	1	1	yes	characteristic
624	#486	C₂²×C₃₁	1	1	yes	characteristic
625	#485	C₂²×C₃₁	1	2	yes	—
626	#483	C₂²×C₃₁	1	2	yes	—
627	#483	C₂²×C₃₁	1	2	yes	—
628	#483	C₂²×C₃₁	1	2	yes	—
629	#482	C₂²×C₃₁	1	2	yes	—
630	#481	C₂²×C₃₁	1	2	yes	—
631	#479	C₂²×C₃₁	1	2	yes	—
632	#478	C₂²×C₃₁	1	2	yes	—
633	#476	C₂²×C₃₁	1	2	yes	—
634	#475	C₂²×C₃₁	1	1	yes	characteristic
635	#475	C₂²×C₃₁	1	1	yes	characteristic
636	#475	C₂²×C₃₁	1	1	yes	characteristic
637	#475	C₂²×C₃₁	1	2	yes	—
638	#475	C₂²×C₃₁	1	1	yes	characteristic
639	#470	C₂²×C₃₁	1	2	yes	—
640	#470	C₂²×C₃₁	1	1	yes	characteristic
641	#470	C₂²×C₃₁	1	1	yes	characteristic
642	#469	C₂²×C₃₁	1	2	yes	—
643	#468	C₂²×C₃₁	1	1	yes	characteristic
644	#468	C₂²×C₃₁	1	1	yes	characteristic
645	#465	C₂²×C₃₁	1	2	yes	—
646	#465	C₂²×C₃₁	1	2	yes	—
647	#464	C₂²×C₃₁	1	2	yes	—
648	#463	C₂²×C₃₁	1	2	yes	—
649	#462	C₂²×C₃₁	1	1	yes	characteristic
650	#462	C₂²×C₃₁	1	2	yes	—
651	#461	C₂²×C₃₁	1	1	yes	characteristic
652	#461	C₂²×C₃₁	1	2	yes	—
653	#460	C₂²×C₃₁	1	1	yes	characteristic
654	#459	C₂²×C₃₁	1	1	yes	characteristic
655	#452	C₂²×C₃₁	1	2	yes	—
656	#452	C₂²×C₃₁	1	2	yes	—
657	#451	C₂²×C₃₁	1	2	yes	—
658	#449	C₂²×C₃₁	1	2	yes	—
659	#449	C₂²×C₃₁	1	2	yes	—
660	#448	C₂²×C₃₁	1	2	yes	—
661	#446	C₂²×C₃₁	1	1	yes	characteristic
662	C₈×Q₈	C₂²×C₃₁	1	1	yes	characteristic
663	#442	C₂²×C₃₁	1	2	yes	—
664	#441	C₂²×C₃₁	1	2	yes	—
665	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
666	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
667	C₄×SD₁₆	C₂²×C₃₁	1	2	yes	—
668	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
669	C₄×SD₁₆	C₂²×C₃₁	1	2	yes	—
670	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
671	#436	C₂²×C₃₁	1	1	yes	characteristic
672	#436	C₂²×C₃₁	1	2	yes	—
673	#435	C₂²×C₃₁	1	2	yes	—
674	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic
675	#433	C₂²×C₃₁	1	2	yes	—
676	#431	C₂²×C₃₁	1	1	yes	characteristic
677	#419	C₂²×C₃₁	1	2	yes	—
678	#417	C₂²×C₃₁	1	2	yes	—
679	#417	C₂²×C₃₁	1	2	yes	—
680	#417	C₂²×C₃₁	1	2	yes	—
681	#416	C₂²×C₃₁	1	2	yes	—
682	C₂×#103	C₂²×C₃₁	1	2	yes	—
683	#405	C₂²×C₃₁	1	2	yes	—
684	C₄×M₁₆	C₂²×C₃₁	1	1	yes	characteristic
685	C₂×C₃₁	—	4	1	no	—
686	C₂×C₃₁	—	4	2	no	—
687	C₂×C₃₁	—	8	2	no	—
688	C₂×C₃₁	—	8	1	no	—
689	C₂×C₃₁	#3500	1	1	yes	characteristic
690	C₂×C₃₁	C₂×#577	1	1	yes	characteristic
691	C₂×C₃₁	#3586	1	1	yes	characteristic
692	C₂×#41	—	2	1	no	—
693	C₂×#41	C₂³×C₃₁	1	2	yes	—
694	C₂×#41	C₂³×C₃₁	1	2	yes	—
695	C₂²×Q₈	—	2	1	no	—
696	C₂²×Q₈	—	2	1	no	—
697	C₂²×Q₈	C₂³×C₃₁	1	2	yes	—
698	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
699	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
700	C₂×Q₁₆	C₂³×C₃₁	1	2	yes	—
701	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
702	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	—
703	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
704	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	—
705	C₂×D₈	C₂³×C₃₁	1	2	yes	—
706	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
707	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
708	C₂×M₁₆	C₂³×C₃₁	1	2	yes	—
709	C₂²×C₈	C₂³×C₃₁	1	2	yes	—
710	C₄⋊Q₈	—	2	1	no	—
711	C₄⋊Q₈	—	2	1	no	—
712	C₄⋊Q₈	—	2	2	no	—
713	C₄⋊Q₈	—	2	1	no	—
714	C₄⋊Q₈	—	2	1	no	—
715	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
716	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
717	C₄⋊Q₈	C₂³×C₃₁	1	2	yes	—
718	C₄⋊Q₈	C₂³×C₃₁	1	2	yes	—
719	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
721	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
722	C₄⋊Q₈	C₂³×C₃₁	1	2	yes	—
723	#127	—	2	1	no	—
724	#127	C₂³×C₃₁	1	1	yes	characteristic
725	#126	—	2	2	no	—
726	#126	—	2	2	no	—
727	#126	—	2	2	no	—
728	#126	—	2	2	no	—
729	#126	—	2	1	no	—
730	#126	D₄×C₃₁	1	2	yes	—
731	#125	—	2	2	no	—
732	#125	—	2	2	no	—
733	#125	—	2	2	no	—
734	#125	—	2	1	no	—
735	#125	—	2	2	no	—
736	#125	—	2	1	no	—
737	#125	D₄×C₃₁	1	1	yes	characteristic
738	#125	C₂³×C₃₁	1	1	yes	characteristic
739	#125	C₂³×C₃₁	1	2	yes	—
740	#124	—	2	1	no	—
741	#124	—	2	1	no	—
742	#124	—	2	2	no	—
743	#124	—	2	2	no	—
744	#124	—	2	2	no	—
745	#124	D₄×C₃₁	1	1	yes	characteristic
746	#124	C₂³×C₃₁	1	1	yes	characteristic
747	#124	C₂³×C₃₁	1	2	yes	—
748	#124	C₂³×C₃₁	1	2	yes	—
749	#123	—	2	1	no	—
750	#123	—	2	2	no	—
751	#123	—	2	2	no	—
752	#123	—	2	2	no	—
753	#123	—	2	2	no	—
754	#123	—	2	2	no	—
755	#123	—	2	2	no	—
756	#123	—	2	2	no	—
757	#123	—	2	2	no	—
758	#123	—	2	2	no	—
759	#123	D₄×C₃₁	1	2	yes	—
760	C₂²⋊Q₈	—	2	1	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	—	2	2	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	2	2	no	—
765	C₂²⋊Q₈	—	2	1	no	—
766	C₂²⋊Q₈	—	2	1	no	—
767	C₂²⋊Q₈	—	2	2	no	—
768	C₂²⋊Q₈	—	2	2	no	—
769	C₂²⋊Q₈	—	2	2	no	—
770	C₂²⋊Q₈	—	2	2	no	—
771	C₂²⋊Q₈	—	2	2	no	—
772	C₂²⋊Q₈	—	2	2	no	—
773	C₂²⋊Q₈	—	2	2	no	—
774	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
775	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
776	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
777	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
778	C₂²⋊Q₈	C₂³×C₃₁	1	2	yes	—
779	C₂²⋊Q₈	C₂³×C₃₁	1	2	yes	—
780	#121	—	2	2	no	—
781	#121	—	2	2	no	—
782	#121	—	2	2	no	—
783	#121	—	2	1	no	—
784	#121	—	2	1	no	—
785	#121	—	2	2	no	—
786	#121	D₄×C₃₁	1	1	yes	characteristic
787	#121	C₂³×C₃₁	1	1	yes	characteristic
788	#121	C₂³×C₃₁	1	2	yes	—
789	#121	C₂³×C₃₁	1	2	yes	—
790	C₄×Q₈	—	2	1	no	—
791	C₄×Q₈	—	2	1	no	—
792	C₄×Q₈	—	2	1	no	—
793	C₄×Q₈	—	2	1	no	—
794	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
795	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
796	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
797	C₄×Q₈	C₂³×C₃₁	1	2	yes	—
798	C₄×Q₈	C₂³×C₃₁	1	2	yes	—
799	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
800	C₄×D₄	—	2	2	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	2	no	—
806	C₄×D₄	—	2	2	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
810	C₄×D₄	C₂³×C₃₁	1	2	yes	—
811	C₄×D₄	C₂³×C₃₁	1	2	yes	—
812	C₄×D₄	C₂³×C₃₁	1	2	yes	—
813	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
814	#117	—	2	1	no	—
815	#117	—	2	1	no	—
816	#117	C₂³×C₃₁	1	2	yes	—
817	#117	C₂³×C₃₁	1	2	yes	—
818	C₂×C₄⋊C₄	—	2	1	no	—
819	C₂×C₄⋊C₄	—	2	2	no	—
820	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
821	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
822	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
823	#107	C₂³×C₃₁	1	1	yes	characteristic
824	#107	C₂³×C₃₁	1	1	yes	characteristic
825	#106	C₂³×C₃₁	1	2	yes	—
826	#106	C₂³×C₃₁	1	2	yes	—
827	#106	C₂³×C₃₁	1	1	yes	characteristic
828	#106	C₂³×C₃₁	1	1	yes	characteristic
829	#106	C₂³×C₃₁	1	2	yes	—
830	#106	C₂³×C₃₁	1	2	yes	—
831	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
832	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
833	C₄⋊C₈	C₂³×C₃₁	1	2	yes	—
834	C₄⋊C₈	C₂³×C₃₁	1	2	yes	—
835	#103	C₂³×C₃₁	1	1	yes	characteristic
836	#103	C₂³×C₃₁	1	2	yes	—
837	#103	C₂³×C₃₁	1	2	yes	—
838	#103	C₂³×C₃₁	1	2	yes	—
839	#103	C₂³×C₃₁	1	1	yes	characteristic
840	#103	C₂³×C₃₁	1	2	yes	—
841	#103	C₂³×C₃₁	1	1	yes	characteristic
842	#103	C₂³×C₃₁	1	2	yes	—
843	#103	C₂³×C₃₁	1	2	yes	—
844	#103	C₂³×C₃₁	1	2	yes	—
845	#103	C₂³×C₃₁	1	2	yes	—
846	#103	C₂³×C₃₁	1	1	yes	characteristic
847	#103	C₂³×C₃₁	1	2	yes	—
848	#103	C₂³×C₃₁	1	2	yes	—
849	#103	C₂³×C₃₁	1	1	yes	characteristic
850	#103	C₂³×C₃₁	1	1	yes	characteristic
851	#102	C₂³×C₃₁	1	2	yes	—
852	#102	C₂³×C₃₁	1	2	yes	—
853	#102	C₂³×C₃₁	1	2	yes	—
854	#102	C₂³×C₃₁	1	2	yes	—
855	#102	C₂³×C₃₁	1	2	yes	—
856	#102	C₂³×C₃₁	1	2	yes	—
857	#102	C₂³×C₃₁	1	1	yes	characteristic
858	#102	C₂³×C₃₁	1	1	yes	characteristic
859	C₂²⋊C₈	C₂³×C₃₁	1	2	yes	—
860	C₂²⋊C₈	C₂³×C₃₁	1	2	yes	—
861	C₂²⋊C₈	C₂³×C₃₁	1	2	yes	—
862	#97	C₂³×C₃₁	1	1	yes	characteristic
863	#97	C₂³×C₃₁	1	1	yes	characteristic
864	#97	C₂³×C₃₁	1	2	yes	—
865	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
866	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
867	C₄×C₈	C₂³×C₃₁	1	2	yes	—
868	C₄×C₈	C₂³×C₃₁	1	2	yes	—
869	C₃₁	#62616	1	1	yes	characteristic, direct product factor, Sylow
870	#41	—	4	2	no	—
871	#41	—	4	2	no	—
872	#41	—	4	2	no	—
873	#41	—	4	2	no	—
874	#41	—	8	2	no	—
875	C₂×Q₈	—	2	1	no	—
876	C₂×Q₈	—	2	1	no	—
877	C₂×Q₈	—	2	1	no	—
878	C₂×Q₈	—	2	2	no	—
879	C₂×Q₈	—	2	2	no	—
880	C₂×Q₈	—	2	2	no	—
881	C₂×Q₈	—	4	2	no	—
882	C₂×Q₈	—	4	2	no	—
883	C₂×Q₈	—	8	2	no	—
884	C₂×Q₈	—	8	2	no	—
885	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
886	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
887	C₂×Q₈	C₂⁴×C₃₁	1	2	yes	—
888	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
889	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
890	C₂×D₄	—	2	1	no	—
891	C₂×D₄	—	2	2	no	—
892	C₂×D₄	—	2	2	no	—
893	C₂×D₄	—	2	2	no	—
894	C₂×D₄	—	2	2	no	—
895	C₂×D₄	—	2	1	no	—
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
898	C₂×D₄	C₂×D₄×C₃₁	1	2	yes	—
899	C₂×D₄	C₂⁴×C₃₁	1	2	yes	—
900	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
910	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
911	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
912	C₂²×C₄	C₂⁴×C₃₁	1	2	yes	—
913	Q₁₆	—	4	2	no	—
914	Q₁₆	—	4	1	no	—
915	Q₁₆	—	4	1	no	—
916	SD₁₆	—	4	2	no	—
917	SD₁₆	—	4	2	no	—
918	SD₁₆	—	4	1	no	—
919	SD₁₆	—	4	1	no	—
920	D₈	—	4	2	no	—
921	M₁₆	—	4	1	no	—
922	M₁₆	—	4	2	no	—
923	M₁₆	—	4	1	no	—
924	C₂×C₈	—	4	2	no	—
925	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
926	C₂×C₈	C₂⁴×C₃₁	1	2	yes	—
927	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
928	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
929	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
930	C₂×C₈	C₂⁴×C₃₁	1	2	yes	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	1	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
959	C₄⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
960	C₄⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
961	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
962	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
963	C₄⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
964	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
965	C₄⋊C₄	C₂⁴×C₃₁	1	2	yes	—
966	C₄⋊C₄	C₂⁴×C₃₁	1	2	yes	—
967	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
968	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
969	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
970	C₂²⋊C₄	—	2	1	no	—
971	C₂²⋊C₄	—	2	1	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	1	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
989	C₂²⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
990	C₂²⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
991	C₂²⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
992	C₂²⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
993	C₄²	—	2	1	no	—
994	C₄²	—	2	1	no	—
995	C₄²	—	2	1	no	—
996	C₄²	—	2	2	no	—
997	C₄²	—	2	2	no	—
998	C₄²	—	2	2	no	—
999	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1000	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1001	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1002	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1003	C₄²	C₂⁴×C₃₁	1	2	yes	—
1004	C₂³	—	2	1	no	—
1005	C₂³	—	2	2	no	—
1006	C₂³	C₂²×D₄×C₃₁	1	2	yes	—
1007	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1008	Q₈	—	2	2	no	—
1009	Q₈	—	2	1	no	—
1010	Q₈	—	2	1	no	—
1011	Q₈	—	2	2	no	—
1012	Q₈	—	2	1	no	—
1013	Q₈	—	2	1	no	—
1014	Q₈	—	2	1	no	—
1015	Q₈	—	2	2	no	—
1016	Q₈	—	2	1	no	—
1017	Q₈	—	4	2	no	—
1018	Q₈	—	4	2	no	—
1019	Q₈	—	8	1	no	—
1020	Q₈	—	8	2	no	—
1021	Q₈	—	8	2	no	—
1022	Q₈	—	8	2	no	—
1023	D₄	—	2	2	no	—
1024	D₄	—	2	1	no	—
1025	D₄	—	2	2	no	—
1026	D₄	—	2	1	no	—
1027	D₄	—	2	2	no	—
1028	D₄	—	4	2	no	—
1029	D₄	—	4	2	no	—
1030	D₄	—	4	2	no	—
1031	D₄	—	8	1	no	—
1032	D₄	—	8	2	no	—
1033	D₄	—	8	2	no	—
1034	D₄	—	8	2	no	—
1035	D₄	—	8	2	no	—
1036	C₂×C₄	—	2	2	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	4	1	no	—
1052	C₂×C₄	—	4	2	no	—
1053	C₂×C₄	—	8	2	no	—
1054	C₂×C₄	—	8	2	no	—
1055	C₂×C₄	—	8	2	no	—
1056	C₂×C₄	—	8	2	no	—
1057	C₂×C₄	—	8	2	no	—
1058	C₂×C₄	—	8	2	no	—
1059	C₂×C₄	—	8	2	no	—
1060	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
1061	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
1062	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
1063	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1064	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1065	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1066	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1067	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1068	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1069	C₈	—	2	1	no	—
1070	C₈	—	2	2	no	—
1071	C₈	—	2	1	no	—
1072	C₈	—	2	2	no	—
1073	C₈	—	2	1	no	—
1074	C₈	—	2	1	no	—
1075	C₂²	—	2	2	no	—
1076	C₂²	—	2	1	no	—
1077	C₂²	—	2	1	no	—
1078	C₂²	—	2	2	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	2	no	—
1081	C₂²	—	4	2	no	—
1082	C₂²	—	4	1	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	—	4	2	no	—
1085	C₂²	—	4	2	no	—
1086	C₂²	—	4	1	no	—
1087	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1088	C₄	—	2	1	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	2	1	no	—
1091	C₄	—	2	2	no	—
1092	C₄	—	2	1	no	—
1093	C₄	—	2	1	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	4	1	no	—
1096	C₄	—	4	2	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	1	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	2	no	—
1101	C₄	—	4	2	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	1	no	—
1104	C₄	—	4	1	no	—
1105	C₄	C₃₁×#577	1	2	yes	—
1106	C₄	C₃₁×#585	1	1	yes	characteristic
1107	C₄	C₃₁×#585	1	1	yes	characteristic
1108	C₂	—	4	2	no	—
1109	C₂	—	4	1	no	—
1110	C₂	—	8	2	no	—
1111	C₂	—	8	1	no	—
1112	C₂	C₃₁×#3500	1	1	yes	characteristic
1113	C₂	C₂×C₃₁×#577	1	1	yes	characteristic
1114	C₂	C₃₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₁ ◁ C₃₁×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3554	C₂	semidirect
2. C₃₁×#3552	C₂	semidirect
3. C₃₁×#3374	C₂	semidirect
4. C₃₁×#3373	C₂	semidirect
5. C₃₁×#3365	C₂	semidirect
6. C₃₁×#3359	C₂	semidirect
7. C₃₁×#3332	C₂	semidirect
8. C₃₁×#3331	C₂	semidirect
9. C₃₁×#3328	C₂	semidirect
10. C₃₁×#3326	C₂	semidirect
11. C₃₁×#3316	C₂	semidirect
12. C₃₁×#3307	C₂	semidirect
13. C₃₁×#3304	C₂	semidirect
14. C₃₁×#3298	C₂	semidirect
15. C₃₁×#3244	C₂	semidirect
16. C₃₁×#3229	C₂	semidirect
17. C₃₁×#3225	C₂	semidirect
18. C₃₁×#3212	C₂	semidirect
19. C₃₁×#3173	C₂	semidirect
20. C₃₁×#3172	C₂	semidirect
21. C₃₁×#3141	C₂	semidirect
22. C₃₁×#3137	C₂	semidirect
23. C₃₁×#2969	C₂	semidirect
446. #62616	C₃₁	direct (N × H)
518. #3554	C₂×C₃₁	semidirect
519. #3552	C₂×C₃₁	semidirect
520. #3374	C₂×C₃₁	semidirect
521. #3373	C₂×C₃₁	semidirect
522. #3365	C₂×C₃₁	semidirect
523. #3359	C₂×C₃₁	semidirect
524. #3332	C₂×C₃₁	semidirect
525. #3331	C₂×C₃₁	semidirect
526. #3328	C₂×C₃₁	semidirect
527. #3326	C₂×C₃₁	semidirect
528. #3316	C₂×C₃₁	semidirect
529. #3307	C₂×C₃₁	semidirect
530. #3304	C₂×C₃₁	semidirect
531. #3298	C₂×C₃₁	semidirect
532. #3244	C₂×C₃₁	semidirect
533. #3229	C₂×C₃₁	semidirect
534. #3225	C₂×C₃₁	semidirect
535. #3212	C₂×C₃₁	semidirect
536. #3173	C₂×C₃₁	semidirect
537. #3172	C₂×C₃₁	semidirect
538. #3141	C₂×C₃₁	semidirect
539. #3137	C₂×C₃₁	semidirect
540. #2969	C₂×C₃₁	semidirect
869. C₃₁	#62616	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×#3554	2
C₃₁×#3552	2
C₃₁×#3374	2
C₃₁×#3373	2
C₃₁×#3365	2
C₃₁×#3359	2
C₃₁×#3332	2
C₃₁×#3331	2
C₃₁×#3328	2
C₃₁×#3326	2
C₃₁×#3316	2
C₃₁×#3307	2
C₃₁×#3304	2
C₃₁×#3298	2
C₃₁×#3244	2
C₃₁×#3229	2
C₃₁×#3225	2
C₃₁×#3212	2
C₃₁×#3173	2
C₃₁×#3172	2
C₃₁×#3141	2
C₃₁×#3137	2
C₃₁×#2969	2
#62616	31

Subgroups — C31×#62616 #21519375

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#62616 #21519375