Subgroups — C₃₁×#62558 #21519317

Order 7936.

1786 conjugacy classes of subgroups.

The subgroup lattice has 1034 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3559	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3558	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3370	C₂	1	2	yes	maximal, complemented
4	C₃₁×#3361	C₂	1	2	yes	maximal, complemented
5	C₃₁×#3322	C₂	1	2	yes	maximal, complemented
6	C₃₁×#3318	C₂	1	2	yes	maximal, complemented
7	C₃₁×#3308	C₂	1	2	yes	maximal, complemented
8	C₃₁×#3301	C₂	1	2	yes	maximal, complemented
9	C₃₁×#3297	C₂	1	2	yes	maximal, complemented
10	C₃₁×#3294	C₂	1	2	yes	maximal, complemented
11	C₃₁×#3243	C₂	1	2	yes	maximal, complemented
12	C₃₁×#3234	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3220	C₂	1	2	yes	maximal, complemented
14	C₃₁×#3213	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3179	C₂	1	2	yes	maximal, complemented
16	C₃₁×#3169	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3136	C₂	1	2	yes	maximal, complemented
18	C₂×C₃₁×#488	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#2966	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#563	—	2	1	no	—
21	C₃₁×#562	—	2	1	no	—
22	C₃₁×#562	—	2	1	no	—
23	C₃₁×H(3,𝔽₄)	—	2	1	no	—
24	C₃₁×#559	C₂²	1	2	yes	—
25	C₃₁×#554	C₂²	1	2	yes	complemented
26	C₃₁×#553	C₂²	1	2	yes	complemented
27	C₃₁×#553	C₂²	1	2	yes	complemented
28	C₃₁×#548	C₂²	1	2	yes	—
29	C₃₁×#547	—	2	2	no	—
30	C₃₁×#547	C₂²	1	2	yes	complemented
31	C₃₁×#546	—	2	2	no	—
32	C₃₁×#546	C₂²	1	2	yes	—
33	D₄²×C₃₁	C₂²	1	2	yes	—
34	C₃₁×#544	C₂²	1	2	yes	complemented
35	C₃₁×#542	C₂²	1	2	yes	—
36	C₃₁×#540	C₂²	1	2	yes	complemented
37	C₃₁×#539	—	2	2	no	—
38	C₃₁×#539	—	2	1	no	—
39	C₃₁×#538	—	2	2	no	—
40	C₃₁×#538	—	2	1	no	—
41	C₃₁×#537	—	2	1	no	—
42	C₃₁×#535	C₂²	1	2	yes	—
43	C₃₁×#534	—	2	1	no	—
44	C₃₁×#532	C₂²	1	1	yes	characteristic
45	C₃₁×#532	C₂²	1	1	yes	characteristic, complemented
46	C₃₁×#529	C₂²	1	1	yes	characteristic
47	C₂×C₃₁×#125	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₃₁×#124	C₂²	1	1	yes	characteristic
49	C₃₁×#501	C₂²	1	2	yes	complemented
50	C₃₁×#500	C₂²	1	1	yes	characteristic, complemented
51	C₃₁×#496	C₂²	1	2	yes	complemented
52	C₃₁×#493	C₂²	1	1	yes	characteristic, complemented
53	C₃₁×#490	C₂²	1	2	yes	—
54	C₃₁×#490	C₂²	1	2	yes	complemented
55	C₃₁×#489	C₂²	1	2	yes	complemented
56	C₃₁×#489	C₂²	1	2	yes	complemented
57	C₃₁×#488	C₂²	1	2	yes	complemented
58	C₃₁×#488	C₂²	1	2	yes	complemented
59	C₃₁×#488	C₂²	1	2	yes	complemented
60	C₃₁×#488	C₂²	1	2	yes	complemented
61	C₃₁×#488	C₂²	1	2	yes	complemented
62	C₃₁×#486	C₂²	1	2	yes	—
63	C₃₁×#486	C₂²	1	1	yes	characteristic, complemented
64	C₃₁×#486	C₂²	1	1	yes	characteristic, complemented
65	C₃₁×#485	C₂²	1	2	yes	complemented
66	C₃₁×#484	C₂²	1	2	yes	complemented
67	C₃₁×#482	C₂²	1	2	yes	—
68	C₃₁×#481	C₂²	1	2	yes	complemented
69	C₃₁×#480	C₂²	1	2	yes	—
70	C₃₁×#480	C₂²	1	2	yes	complemented
71	C₃₁×#479	C₂²	1	2	yes	complemented
72	C₃₁×#478	C₂²	1	2	yes	complemented
73	C₃₁×#478	C₂²	1	2	yes	complemented
74	C₃₁×#478	C₂²	1	2	yes	complemented
75	C₃₁×#477	C₂²	1	2	yes	complemented
76	C₃₁×#474	C₂²	1	2	yes	complemented
77	C₃₁×#469	C₂²	1	2	yes	—
78	C₃₁×#468	C₂²	1	2	yes	complemented
79	C₃₁×#466	C₂²	1	2	yes	—
80	C₃₁×#466	C₂²	1	2	yes	complemented
81	C₃₁×#466	C₂²	1	2	yes	complemented
82	C₃₁×#465	C₂²	1	2	yes	complemented
83	C₃₁×#463	C₂²	1	2	yes	complemented
84	C₃₁×#463	C₂²	1	2	yes	complemented
85	C₃₁×#463	C₂²	1	2	yes	complemented
86	C₃₁×#463	C₂²	1	2	yes	complemented
87	C₃₁×#459	C₂²	1	2	yes	—
88	C₃₁×#459	C₂²	1	2	yes	—
89	C₃₁×#449	C₂²	1	2	yes	complemented
90	C₃₁×#449	C₂²	1	2	yes	complemented
91	C₃₁×#448	C₂²	1	2	yes	complemented
92	C₃₁×#447	C₂²	1	2	yes	—
93	C₃₁×#447	C₂²	1	2	yes	complemented
94	C₃₁×#447	C₂²	1	2	yes	complemented
95	C₃₁×#446	C₂²	1	1	yes	characteristic, complemented
96	C₈×Q₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
97	C₃₁×#442	C₂²	1	2	yes	complemented
98	C₃₁×#440	C₂²	1	2	yes	complemented
99	C₄×SD₁₆×C₃₁	C₂²	1	2	yes	complemented
100	C₄×D₈×C₃₁	C₂²	1	2	yes	complemented
101	C₄×D₈×C₃₁	C₂²	1	2	yes	complemented
102	C₄×D₈×C₃₁	C₂²	1	2	yes	complemented
103	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
104	C₃₁×#435	C₂²	1	2	yes	complemented
105	C₈×D₄×C₃₁	C₂²	1	2	yes	complemented
106	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#433	C₂²	1	2	yes	complemented
108	C₃₁×#432	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#418	C₂²	1	2	yes	complemented
110	C₃₁×#417	C₂²	1	2	yes	complemented
111	C₃₁×#416	C₂²	1	2	yes	complemented
112	C₂×C₃₁×#103	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₃₁×#103	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₃₁×#102	C₂²	1	1	yes	characteristic
115	C₂×C₃₁×#102	C₂²	1	1	yes	characteristic
116	C₂×C₃₁×#102	C₂²	1	2	yes	complemented
117	C₃₁×#405	C₂²	1	2	yes	complemented
118	C₂×C₄×C₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
119	C₂×#41×C₃₁	—	2	2	no	—
120	C₂×#41×C₃₁	—	2	1	no	—
121	C₂×#41×C₃₁	—	2	1	no	—
122	C₂×#41×C₃₁	C₂³	1	2	yes	—
123	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
124	C₂²×D₄×C₃₁	—	2	2	no	—
125	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₃₁	C₂³	1	2	yes	—
127	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
128	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
129	C₂×D₈×C₃₁	C₂³	1	2	yes	—
130	C₂×D₈×C₃₁	C₂³	1	2	yes	—
131	C₂×D₈×C₃₁	C₂³	1	2	yes	—
132	C₂×D₈×C₃₁	C₂³	1	2	yes	—
133	C₂×M₁₆×C₃₁	C₂³	1	2	yes	—
134	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
135	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
136	C₂²×C₈×C₃₁	C₂³	1	2	yes	—
137	C₃₁×C₄⋊Q₈	—	2	2	no	—
138	C₃₁×C₄⋊Q₈	C₂³	1	2	yes	—
139	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
140	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
141	C₃₁×#127	C₂³	1	2	yes	—
142	C₃₁×#127	C₂³	1	1	yes	characteristic
143	C₃₁×#127	C₂³	1	1	yes	characteristic
144	C₃₁×#126	—	2	2	no	—
145	C₃₁×#126	—	2	2	no	—
146	C₃₁×#126	—	2	2	no	—
147	C₃₁×#126	D₄	1	2	yes	—
148	C₃₁×#125	—	2	2	no	—
149	C₃₁×#125	—	2	1	no	—
150	C₃₁×#125	—	2	1	no	—
151	C₃₁×#125	D₄	1	1	yes	characteristic
152	C₃₁×#125	C₂³	1	2	yes	—
153	C₃₁×#125	C₂³	1	2	yes	—
154	C₃₁×#125	C₂³	1	2	yes	—
155	C₃₁×#124	—	2	2	no	—
156	C₃₁×#124	—	2	2	no	—
157	C₃₁×#124	—	2	2	no	—
158	C₃₁×#124	—	2	1	no	—
159	C₃₁×#124	—	2	1	no	—
160	C₃₁×#124	—	2	1	no	—
161	C₃₁×#124	—	2	1	no	—
162	C₃₁×#124	D₄	1	1	yes	characteristic
163	C₃₁×#124	C₂³	1	2	yes	—
164	C₃₁×#124	C₂³	1	2	yes	—
165	C₃₁×#124	C₂³	1	2	yes	—
166	C₃₁×#123	—	2	2	no	—
167	C₃₁×#123	—	2	2	no	—
168	C₃₁×#123	—	2	2	no	—
169	C₃₁×#123	—	2	2	no	—
170	C₃₁×#123	—	2	2	no	—
171	C₃₁×#123	—	2	2	no	—
172	C₃₁×#123	—	2	2	no	—
173	C₃₁×#123	—	2	2	no	—
174	C₃₁×#123	—	2	2	no	—
175	C₃₁×#123	—	2	2	no	—
176	C₃₁×#123	D₄	1	2	yes	—
177	C₃₁×C₂²⋊Q₈	—	2	2	no	—
178	C₃₁×C₂²⋊Q₈	—	2	2	no	—
179	C₃₁×C₂²⋊Q₈	—	2	2	no	—
180	C₃₁×C₂²⋊Q₈	—	2	2	no	—
181	C₃₁×C₂²⋊Q₈	—	2	2	no	—
182	C₃₁×C₂²⋊Q₈	—	2	2	no	—
183	C₃₁×C₂²⋊Q₈	—	2	2	no	—
184	C₃₁×C₂²⋊Q₈	—	2	2	no	—
185	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
186	C₃₁×C₂²⋊Q₈	C₂³	1	2	yes	—
187	C₃₁×#121	—	2	2	no	—
188	C₃₁×#121	—	2	2	no	—
189	C₃₁×#121	—	2	2	no	—
190	C₃₁×#121	—	2	1	no	—
191	C₃₁×#121	—	2	1	no	—
192	C₃₁×#121	—	2	2	no	—
193	C₃₁×#121	—	2	2	no	—
194	C₃₁×#121	—	2	2	no	—
195	C₃₁×#121	—	2	2	no	—
196	C₃₁×#121	—	2	2	no	—
197	C₃₁×#121	—	2	2	no	—
198	C₃₁×#121	D₄	1	1	yes	characteristic
199	C₃₁×#121	C₂³	1	2	yes	—
200	C₃₁×#121	C₂³	1	2	yes	—
201	C₃₁×#121	C₂³	1	2	yes	—
202	C₃₁×#121	C₂³	1	2	yes	—
203	C₃₁×#121	C₂³	1	2	yes	—
204	C₃₁×#120	—	2	2	no	—
205	C₃₁×#120	—	2	2	no	—
206	C₃₁×#120	—	2	2	no	—
207	C₃₁×#120	—	2	2	no	—
208	C₃₁×#120	—	2	2	no	—
209	C₄×Q₈×C₃₁	C₂³	1	2	yes	—
210	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
211	C₄×D₄×C₃₁	—	2	2	no	—
212	C₄×D₄×C₃₁	—	2	2	no	—
213	C₄×D₄×C₃₁	—	2	2	no	—
214	C₄×D₄×C₃₁	—	2	2	no	—
215	C₄×D₄×C₃₁	—	2	1	no	—
216	C₄×D₄×C₃₁	—	2	1	no	—
217	C₄×D₄×C₃₁	C₂³	1	2	yes	—
218	C₄×D₄×C₃₁	C₂³	1	2	yes	—
219	C₄×D₄×C₃₁	C₂³	1	2	yes	—
220	C₄×D₄×C₃₁	C₂³	1	2	yes	—
221	C₄×D₄×C₃₁	C₂³	1	2	yes	—
222	C₄×D₄×C₃₁	C₂³	1	2	yes	—
223	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
224	C₃₁×#117	C₂³	1	2	yes	—
225	C₃₁×#117	C₂³	1	2	yes	—
226	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
227	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
228	C₂×C₄⋊C₄×C₃₁	—	2	2	no	—
229	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
232	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
233	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
234	C₂×C₂²⋊C₄×C₃₁	—	2	2	no	—
235	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
236	C₃₁×#107	C₂³	1	2	yes	—
237	C₃₁×#107	C₂³	1	2	yes	—
238	C₃₁×#107	C₂³	1	2	yes	—
239	C₃₁×#107	C₂³	1	2	yes	—
240	C₃₁×#106	C₂³	1	2	yes	—
241	C₃₁×#106	C₂³	1	2	yes	—
242	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
243	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
244	C₃₁×C₄⋊C₈	C₂³	1	2	yes	—
245	C₃₁×C₄⋊C₈	C₂³	1	2	yes	—
246	C₃₁×#103	C₂³	1	2	yes	—
247	C₃₁×#103	C₂³	1	2	yes	—
248	C₃₁×#103	C₂³	1	2	yes	—
249	C₃₁×#103	C₂³	1	2	yes	—
250	C₃₁×#103	C₂³	1	2	yes	—
251	C₃₁×#103	C₂³	1	2	yes	—
252	C₃₁×#102	C₂³	1	2	yes	—
253	C₃₁×#102	C₂³	1	2	yes	—
254	C₃₁×#102	C₂³	1	2	yes	—
255	C₃₁×#102	C₂³	1	2	yes	—
256	C₃₁×#102	C₂³	1	2	yes	—
257	C₃₁×#102	C₂³	1	2	yes	—
258	C₃₁×#102	C₂³	1	2	yes	—
259	C₃₁×#102	C₂³	1	2	yes	—
260	C₃₁×#102	C₂³	1	2	yes	—
261	C₃₁×#102	C₂³	1	2	yes	—
262	C₃₁×#102	C₂³	1	2	yes	—
263	C₃₁×#102	C₂³	1	2	yes	—
264	C₃₁×#102	C₂³	1	2	yes	—
265	C₃₁×#102	C₂³	1	2	yes	—
266	C₃₁×C₂²⋊C₈	C₂³	1	2	yes	—
267	C₃₁×C₂²⋊C₈	C₂³	1	2	yes	—
268	C₃₁×C₂²⋊C₈	C₂³	1	2	yes	—
269	C₃₁×#97	C₂³	1	2	yes	—
270	C₃₁×#97	C₂³	1	2	yes	—
271	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
272	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
273	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
274	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
275	C₄×C₈×C₃₁	C₂³	1	2	yes	—
276	C₂⁴×C₃₁	—	2	1	no	—
277	C₂⁴×C₃₁	—	2	2	no	—
278	#41×C₃₁	—	4	2	no	—
279	#41×C₃₁	—	4	2	no	—
280	#41×C₃₁	—	8	2	no	—
281	#41×C₃₁	—	8	2	no	—
282	#41×C₃₁	—	8	4	no	—
283	C₂×Q₈×C₃₁	—	2	2	no	—
284	C₂×Q₈×C₃₁	—	2	1	no	—
285	C₂×Q₈×C₃₁	—	2	1	no	—
286	C₂×Q₈×C₃₁	—	2	1	no	—
287	C₂×Q₈×C₃₁	—	4	1	no	—
288	C₂×Q₈×C₃₁	—	4	1	no	—
289	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
290	C₂×Q₈×C₃₁	C₂⁴	1	2	yes	—
291	C₂×D₄×C₃₁	—	2	2	no	—
292	C₂×D₄×C₃₁	—	2	2	no	—
293	C₂×D₄×C₃₁	—	2	2	no	—
294	C₂×D₄×C₃₁	—	2	2	no	—
295	C₂×D₄×C₃₁	—	2	2	no	—
296	C₂×D₄×C₃₁	—	2	2	no	—
297	C₂×D₄×C₃₁	—	2	2	no	—
298	C₂×D₄×C₃₁	—	2	1	no	—
299	C₂×D₄×C₃₁	—	2	1	no	—
300	C₂×D₄×C₃₁	—	2	1	no	—
301	C₂×D₄×C₃₁	—	2	1	no	—
302	C₂×D₄×C₃₁	—	2	2	no	—
303	C₂×D₄×C₃₁	—	2	2	no	—
304	C₂×D₄×C₃₁	—	2	1	no	—
305	C₂×D₄×C₃₁	—	4	1	no	—
306	C₂×D₄×C₃₁	—	4	1	no	—
307	C₂×D₄×C₃₁	—	4	2	no	—
308	C₂×D₄×C₃₁	—	4	2	no	—
309	C₂×D₄×C₃₁	—	8	4	no	—
310	C₂×D₄×C₃₁	C₂×D₄	1	2	yes	—
311	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
312	C₂×D₄×C₃₁	C₂⁴	1	2	yes	—
313	C₂×D₄×C₃₁	C₂⁴	1	2	yes	—
314	C₂×D₄×C₃₁	C₂⁴	1	2	yes	—
315	C₂²×C₄×C₃₁	—	2	1	no	—
316	C₂²×C₄×C₃₁	—	2	1	no	—
317	C₂²×C₄×C₃₁	—	2	1	no	—
318	C₂²×C₄×C₃₁	—	2	2	no	—
319	C₂²×C₄×C₃₁	—	2	2	no	—
320	C₂²×C₄×C₃₁	—	2	2	no	—
321	C₂²×C₄×C₃₁	—	2	2	no	—
322	C₂²×C₄×C₃₁	—	2	2	no	—
323	C₂²×C₄×C₃₁	—	2	2	no	—
324	C₂²×C₄×C₃₁	—	2	2	no	—
325	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
326	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
327	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₃₁	C₂⁴	1	2	yes	—
329	SD₁₆×C₃₁	—	4	2	no	—
330	SD₁₆×C₃₁	—	4	2	no	—
331	D₈×C₃₁	—	4	2	no	—
332	D₈×C₃₁	—	4	2	no	—
333	D₈×C₃₁	—	4	2	no	—
334	D₈×C₃₁	—	4	2	no	—
335	M₁₆×C₃₁	—	4	2	no	—
336	C₂×C₈×C₃₁	—	4	1	no	—
337	C₂×C₈×C₃₁	—	4	2	no	—
338	C₂×C₈×C₃₁	—	4	1	no	—
339	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
340	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
341	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
342	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
343	C₂×C₈×C₃₁	C₂⁴	1	2	yes	—
344	C₂×C₈×C₃₁	C₂⁴	1	2	yes	—
345	C₄⋊C₄×C₃₁	—	2	2	no	—
346	C₄⋊C₄×C₃₁	—	2	2	no	—
347	C₄⋊C₄×C₃₁	—	2	2	no	—
348	C₄⋊C₄×C₃₁	—	2	2	no	—
349	C₄⋊C₄×C₃₁	—	2	2	no	—
350	C₄⋊C₄×C₃₁	—	2	2	no	—
351	C₄⋊C₄×C₃₁	—	2	1	no	—
352	C₄⋊C₄×C₃₁	—	2	2	no	—
353	C₄⋊C₄×C₃₁	—	2	1	no	—
354	C₄⋊C₄×C₃₁	—	2	2	no	—
355	C₄⋊C₄×C₃₁	—	2	1	no	—
356	C₄⋊C₄×C₃₁	—	2	1	no	—
357	C₄⋊C₄×C₃₁	—	2	2	no	—
358	C₄⋊C₄×C₃₁	—	2	2	no	—
359	C₄⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
360	C₄⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
361	C₄⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
362	C₄⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
363	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
364	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
365	C₄⋊C₄×C₃₁	C₂⁴	1	2	yes	—
366	C₄⋊C₄×C₃₁	C₂⁴	1	2	yes	—
367	C₄⋊C₄×C₃₁	C₂⁴	1	2	yes	—
368	C₄⋊C₄×C₃₁	C₂⁴	1	2	yes	—
369	C₂²⋊C₄×C₃₁	—	2	2	no	—
370	C₂²⋊C₄×C₃₁	—	2	2	no	—
371	C₂²⋊C₄×C₃₁	—	2	2	no	—
372	C₂²⋊C₄×C₃₁	—	2	2	no	—
373	C₂²⋊C₄×C₃₁	—	2	2	no	—
374	C₂²⋊C₄×C₃₁	—	2	2	no	—
375	C₂²⋊C₄×C₃₁	—	2	2	no	—
376	C₂²⋊C₄×C₃₁	—	2	2	no	—
377	C₂²⋊C₄×C₃₁	—	2	2	no	—
378	C₂²⋊C₄×C₃₁	—	2	2	no	—
379	C₂²⋊C₄×C₃₁	—	2	2	no	—
380	C₂²⋊C₄×C₃₁	—	2	2	no	—
381	C₂²⋊C₄×C₃₁	—	2	2	no	—
382	C₂²⋊C₄×C₃₁	—	2	2	no	—
383	C₂²⋊C₄×C₃₁	—	2	2	no	—
384	C₂²⋊C₄×C₃₁	—	2	2	no	—
385	C₂²⋊C₄×C₃₁	—	2	2	no	—
386	C₂²⋊C₄×C₃₁	—	2	2	no	—
387	C₂²⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
388	C₂²⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
389	C₂²⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
390	C₂²⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
391	C₂²⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
392	C₄²×C₃₁	—	2	2	no	—
393	C₄²×C₃₁	—	2	2	no	—
394	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
395	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
396	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
397	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
398	C₄²×C₃₁	C₂⁴	1	2	yes	—
399	#62558	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
400	C₂³×C₃₁	—	2	2	no	—
401	C₂³×C₃₁	—	2	2	no	—
402	C₂³×C₃₁	—	2	2	no	—
403	C₂³×C₃₁	—	4	2	no	—
404	C₂³×C₃₁	—	8	1	no	—
405	C₂³×C₃₁	—	8	2	no	—
406	C₂³×C₃₁	—	8	2	no	—
407	C₂³×C₃₁	—	8	1	no	—
408	C₂³×C₃₁	—	8	2	no	—
409	C₂³×C₃₁	C₂²×D₄	1	2	yes	—
410	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
411	Q₈×C₃₁	—	2	2	no	—
412	Q₈×C₃₁	—	2	2	no	—
413	Q₈×C₃₁	—	4	1	no	—
414	Q₈×C₃₁	—	8	1	no	—
415	Q₈×C₃₁	—	8	1	no	—
416	Q₈×C₃₁	—	8	1	no	—
417	Q₈×C₃₁	—	8	2	no	—
418	D₄×C₃₁	—	2	4	no	—
419	D₄×C₃₁	—	2	2	no	—
420	D₄×C₃₁	—	2	2	no	—
421	D₄×C₃₁	—	2	2	no	—
422	D₄×C₃₁	—	2	2	no	—
423	D₄×C₃₁	—	2	2	no	—
424	D₄×C₃₁	—	2	2	no	—
425	D₄×C₃₁	—	4	1	no	—
426	D₄×C₃₁	—	4	4	no	—
427	D₄×C₃₁	—	4	4	no	—
428	D₄×C₃₁	—	8	1	no	—
429	D₄×C₃₁	—	8	1	no	—
430	D₄×C₃₁	—	8	2	no	—
431	D₄×C₃₁	—	8	2	no	—
432	D₄×C₃₁	—	8	1	no	—
433	D₄×C₃₁	—	8	2	no	—
434	D₄×C₃₁	—	8	1	no	—
435	D₄×C₃₁	—	8	1	no	—
436	D₄×C₃₁	—	8	2	no	—
437	D₄×C₃₁	—	8	2	no	—
438	D₄×C₃₁	—	8	2	no	—
439	D₄×C₃₁	—	8	2	no	—
440	C₂×C₄×C₃₁	—	2	2	no	—
441	C₂×C₄×C₃₁	—	2	1	no	—
442	C₂×C₄×C₃₁	—	2	1	no	—
443	C₂×C₄×C₃₁	—	2	2	no	—
444	C₂×C₄×C₃₁	—	2	2	no	—
445	C₂×C₄×C₃₁	—	2	2	no	—
446	C₂×C₄×C₃₁	—	2	2	no	—
447	C₂×C₄×C₃₁	—	2	2	no	—
448	C₂×C₄×C₃₁	—	2	2	no	—
449	C₂×C₄×C₃₁	—	2	2	no	—
450	C₂×C₄×C₃₁	—	4	1	no	—
451	C₂×C₄×C₃₁	—	4	2	no	—
452	C₂×C₄×C₃₁	—	8	2	no	—
453	C₂×C₄×C₃₁	—	8	2	no	—
454	C₂×C₄×C₃₁	—	8	2	no	—
455	C₂×C₄×C₃₁	—	8	2	no	—
456	C₂×C₄×C₃₁	—	8	2	no	—
457	C₂×C₄×C₃₁	—	8	2	no	—
458	C₂×C₄×C₃₁	—	8	1	no	—
459	C₂×C₄×C₃₁	—	8	1	no	—
460	C₂×C₄×C₃₁	—	8	2	no	—
461	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
462	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
463	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
464	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
465	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
466	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
467	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
468	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
469	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
470	C₈×C₃₁	—	2	1	no	—
471	C₈×C₃₁	—	2	1	no	—
472	C₈×C₃₁	—	2	1	no	—
473	C₈×C₃₁	—	2	1	no	—
474	C₈×C₃₁	—	2	2	no	—
475	C₈×C₃₁	—	2	2	no	—
476	#3559	C₂×C₃₁	1	1	yes	characteristic, complemented
477	#3558	C₂×C₃₁	1	1	yes	characteristic, complemented
478	#3370	C₂×C₃₁	1	2	yes	complemented
479	#3361	C₂×C₃₁	1	2	yes	complemented
480	#3322	C₂×C₃₁	1	2	yes	complemented
481	#3318	C₂×C₃₁	1	2	yes	complemented
482	#3308	C₂×C₃₁	1	2	yes	complemented
483	#3301	C₂×C₃₁	1	2	yes	complemented
484	#3297	C₂×C₃₁	1	2	yes	complemented
485	#3294	C₂×C₃₁	1	2	yes	complemented
486	#3243	C₂×C₃₁	1	2	yes	complemented
487	#3234	C₂×C₃₁	1	1	yes	characteristic, complemented
488	#3220	C₂×C₃₁	1	2	yes	complemented
489	#3213	C₂×C₃₁	1	1	yes	characteristic, complemented
490	#3179	C₂×C₃₁	1	2	yes	complemented
491	#3169	C₂×C₃₁	1	1	yes	characteristic, complemented
492	#3136	C₂×C₃₁	1	2	yes	complemented
493	C₂×#488	C₂×C₃₁	1	1	yes	characteristic, complemented
494	#2966	C₂×C₃₁	1	1	yes	characteristic, complemented
495	C₂²×C₃₁	—	2	1	no	—
496	C₂²×C₃₁	—	2	1	no	—
497	C₂²×C₃₁	—	2	2	no	—
498	C₂²×C₃₁	—	2	2	no	—
499	C₂²×C₃₁	—	2	2	no	—
500	C₂²×C₃₁	—	4	2	no	—
501	C₂²×C₃₁	—	4	2	no	—
502	C₂²×C₃₁	—	4	2	no	—
503	C₂²×C₃₁	—	4	2	no	—
504	C₂²×C₃₁	—	4	2	no	—
505	C₂²×C₃₁	—	4	2	no	—
506	C₂²×C₃₁	—	4	2	no	—
507	C₂²×C₃₁	—	4	2	no	—
508	C₂²×C₃₁	—	4	2	no	—
509	C₂²×C₃₁	—	16	2	no	—
510	C₂²×C₃₁	—	16	4	no	—
511	C₂²×C₃₁	#576	1	2	yes	—
512	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
513	C₄×C₃₁	—	2	1	no	—
514	C₄×C₃₁	—	2	1	no	—
515	C₄×C₃₁	—	2	2	no	—
516	C₄×C₃₁	—	2	2	no	—
517	C₄×C₃₁	—	2	1	no	—
518	C₄×C₃₁	—	2	1	no	—
519	C₄×C₃₁	—	2	1	no	—
520	C₄×C₃₁	—	2	2	no	—
521	C₄×C₃₁	—	4	2	no	—
522	C₄×C₃₁	—	4	2	no	—
523	C₄×C₃₁	—	4	2	no	—
524	C₄×C₃₁	—	4	2	no	—
525	C₄×C₃₁	—	4	2	no	—
526	C₄×C₃₁	#585	1	1	yes	characteristic
527	C₄×C₃₁	#585	1	1	yes	characteristic
528	#563	—	2	1	no	—
529	#562	—	2	1	no	—
530	#562	—	2	1	no	—
531	H(3,𝔽₄)	—	2	1	no	—
532	#559	C₂²×C₃₁	1	2	yes	—
533	#554	C₂²×C₃₁	1	2	yes	complemented
534	#553	C₂²×C₃₁	1	2	yes	complemented
535	#553	C₂²×C₃₁	1	2	yes	complemented
536	#548	C₂²×C₃₁	1	2	yes	—
537	#547	—	2	2	no	—
538	#547	C₂²×C₃₁	1	2	yes	complemented
539	#546	—	2	2	no	—
540	#546	C₂²×C₃₁	1	2	yes	—
541	D₄²	C₂²×C₃₁	1	2	yes	—
542	#544	C₂²×C₃₁	1	2	yes	complemented
543	#542	C₂²×C₃₁	1	2	yes	—
544	#540	C₂²×C₃₁	1	2	yes	complemented
545	#539	—	2	2	no	—
546	#539	—	2	1	no	—
547	#538	—	2	2	no	—
548	#538	—	2	1	no	—
549	#537	—	2	1	no	—
550	#535	C₂²×C₃₁	1	2	yes	—
551	#534	—	2	1	no	—
552	#532	C₂²×C₃₁	1	1	yes	characteristic
553	#532	C₂²×C₃₁	1	1	yes	characteristic, complemented
554	#529	C₂²×C₃₁	1	1	yes	characteristic
555	C₂×#125	C₂²×C₃₁	1	1	yes	characteristic, complemented
556	C₂×#124	C₂²×C₃₁	1	1	yes	characteristic
557	#501	C₂²×C₃₁	1	2	yes	complemented
558	#500	C₂²×C₃₁	1	1	yes	characteristic, complemented
559	#496	C₂²×C₃₁	1	2	yes	complemented
560	#493	C₂²×C₃₁	1	1	yes	characteristic, complemented
561	#490	C₂²×C₃₁	1	2	yes	—
562	#490	C₂²×C₃₁	1	2	yes	complemented
563	#489	C₂²×C₃₁	1	2	yes	complemented
564	#489	C₂²×C₃₁	1	2	yes	complemented
565	#488	C₂²×C₃₁	1	2	yes	complemented
566	#488	C₂²×C₃₁	1	2	yes	complemented
567	#488	C₂²×C₃₁	1	2	yes	complemented
568	#488	C₂²×C₃₁	1	2	yes	complemented
569	#488	C₂²×C₃₁	1	2	yes	complemented
570	#486	C₂²×C₃₁	1	2	yes	—
571	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
572	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
573	#485	C₂²×C₃₁	1	2	yes	complemented
574	#484	C₂²×C₃₁	1	2	yes	complemented
575	#482	C₂²×C₃₁	1	2	yes	—
576	#481	C₂²×C₃₁	1	2	yes	complemented
577	#480	C₂²×C₃₁	1	2	yes	—
578	#480	C₂²×C₃₁	1	2	yes	complemented
579	#479	C₂²×C₃₁	1	2	yes	complemented
580	#478	C₂²×C₃₁	1	2	yes	complemented
581	#478	C₂²×C₃₁	1	2	yes	complemented
582	#478	C₂²×C₃₁	1	2	yes	complemented
583	#477	C₂²×C₃₁	1	2	yes	complemented
584	#474	C₂²×C₃₁	1	2	yes	complemented
585	#469	C₂²×C₃₁	1	2	yes	—
586	#468	C₂²×C₃₁	1	2	yes	complemented
587	#466	C₂²×C₃₁	1	2	yes	—
588	#466	C₂²×C₃₁	1	2	yes	complemented
589	#466	C₂²×C₃₁	1	2	yes	complemented
590	#465	C₂²×C₃₁	1	2	yes	complemented
591	#463	C₂²×C₃₁	1	2	yes	complemented
592	#463	C₂²×C₃₁	1	2	yes	complemented
593	#463	C₂²×C₃₁	1	2	yes	complemented
594	#463	C₂²×C₃₁	1	2	yes	complemented
595	#459	C₂²×C₃₁	1	2	yes	—
596	#459	C₂²×C₃₁	1	2	yes	—
597	#449	C₂²×C₃₁	1	2	yes	complemented
598	#449	C₂²×C₃₁	1	2	yes	complemented
599	#448	C₂²×C₃₁	1	2	yes	complemented
600	#447	C₂²×C₃₁	1	2	yes	—
601	#447	C₂²×C₃₁	1	2	yes	complemented
602	#447	C₂²×C₃₁	1	2	yes	complemented
603	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
604	C₈×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
605	#442	C₂²×C₃₁	1	2	yes	complemented
606	#440	C₂²×C₃₁	1	2	yes	complemented
607	C₄×SD₁₆	C₂²×C₃₁	1	2	yes	complemented
608	C₄×D₈	C₂²×C₃₁	1	2	yes	complemented
609	C₄×D₈	C₂²×C₃₁	1	2	yes	complemented
610	C₄×D₈	C₂²×C₃₁	1	2	yes	complemented
611	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
612	#435	C₂²×C₃₁	1	2	yes	complemented
613	C₈×D₄	C₂²×C₃₁	1	2	yes	complemented
614	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
615	#433	C₂²×C₃₁	1	2	yes	complemented
616	#432	C₂²×C₃₁	1	1	yes	characteristic, complemented
617	#418	C₂²×C₃₁	1	2	yes	complemented
618	#417	C₂²×C₃₁	1	2	yes	complemented
619	#416	C₂²×C₃₁	1	2	yes	complemented
620	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic, complemented
621	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic, complemented
622	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic
623	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic
624	C₂×#102	C₂²×C₃₁	1	2	yes	complemented
625	#405	C₂²×C₃₁	1	2	yes	complemented
626	C₂×C₄×C₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
627	C₂×C₃₁	—	2	2	no	—
628	C₂×C₃₁	—	4	2	no	—
629	C₂×C₃₁	—	8	2	no	—
630	C₂×C₃₁	—	8	2	no	—
631	C₂×C₃₁	—	8	2	no	—
632	C₂×C₃₁	#3500	1	1	yes	characteristic
633	C₂×C₃₁	C₂×#576	1	1	yes	characteristic
634	C₂×C₃₁	#3584	1	1	yes	characteristic
635	C₂×#41	—	2	2	no	—
636	C₂×#41	—	2	1	no	—
637	C₂×#41	—	2	1	no	—
638	C₂×#41	C₂³×C₃₁	1	2	yes	—
639	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
640	C₂²×D₄	—	2	2	no	—
641	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
642	C₂²×D₄	C₂³×C₃₁	1	2	yes	—
643	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	—
644	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	—
645	C₂×D₈	C₂³×C₃₁	1	2	yes	—
646	C₂×D₈	C₂³×C₃₁	1	2	yes	—
647	C₂×D₈	C₂³×C₃₁	1	2	yes	—
648	C₂×D₈	C₂³×C₃₁	1	2	yes	—
649	C₂×M₁₆	C₂³×C₃₁	1	2	yes	—
650	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
651	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
652	C₂²×C₈	C₂³×C₃₁	1	2	yes	—
653	C₄⋊Q₈	—	2	2	no	—
654	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
655	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
656	C₄⋊Q₈	C₂³×C₃₁	1	2	yes	—
657	#127	C₂³×C₃₁	1	1	yes	characteristic
658	#127	C₂³×C₃₁	1	1	yes	characteristic
659	#127	C₂³×C₃₁	1	2	yes	—
660	#126	—	2	2	no	—
661	#126	—	2	2	no	—
662	#126	—	2	2	no	—
663	#126	D₄×C₃₁	1	2	yes	—
664	#125	—	2	2	no	—
665	#125	—	2	1	no	—
666	#125	—	2	1	no	—
667	#125	D₄×C₃₁	1	1	yes	characteristic
668	#125	C₂³×C₃₁	1	2	yes	—
669	#125	C₂³×C₃₁	1	2	yes	—
670	#125	C₂³×C₃₁	1	2	yes	—
671	#124	—	2	2	no	—
672	#124	—	2	2	no	—
673	#124	—	2	2	no	—
674	#124	—	2	1	no	—
675	#124	—	2	1	no	—
676	#124	—	2	1	no	—
677	#124	—	2	1	no	—
678	#124	D₄×C₃₁	1	1	yes	characteristic
679	#124	C₂³×C₃₁	1	2	yes	—
680	#124	C₂³×C₃₁	1	2	yes	—
681	#124	C₂³×C₃₁	1	2	yes	—
682	#123	—	2	2	no	—
683	#123	—	2	2	no	—
684	#123	—	2	2	no	—
685	#123	—	2	2	no	—
686	#123	—	2	2	no	—
687	#123	—	2	2	no	—
688	#123	—	2	2	no	—
689	#123	—	2	2	no	—
690	#123	—	2	2	no	—
691	#123	—	2	2	no	—
692	#123	D₄×C₃₁	1	2	yes	—
693	C₂²⋊Q₈	—	2	2	no	—
694	C₂²⋊Q₈	—	2	2	no	—
695	C₂²⋊Q₈	—	2	2	no	—
696	C₂²⋊Q₈	—	2	2	no	—
697	C₂²⋊Q₈	—	2	2	no	—
698	C₂²⋊Q₈	—	2	2	no	—
699	C₂²⋊Q₈	—	2	2	no	—
700	C₂²⋊Q₈	—	2	2	no	—
701	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
702	C₂²⋊Q₈	C₂³×C₃₁	1	2	yes	—
703	#121	—	2	2	no	—
704	#121	—	2	2	no	—
705	#121	—	2	2	no	—
706	#121	—	2	1	no	—
707	#121	—	2	1	no	—
708	#121	—	2	2	no	—
709	#121	—	2	2	no	—
710	#121	—	2	2	no	—
711	#121	—	2	2	no	—
712	#121	—	2	2	no	—
713	#121	—	2	2	no	—
714	#121	D₄×C₃₁	1	1	yes	characteristic
715	#121	C₂³×C₃₁	1	2	yes	—
716	#121	C₂³×C₃₁	1	2	yes	—
717	#121	C₂³×C₃₁	1	2	yes	—
718	#121	C₂³×C₃₁	1	2	yes	—
719	#121	C₂³×C₃₁	1	2	yes	—
720	#120	—	2	2	no	—
721	#120	—	2	2	no	—
722	#120	—	2	2	no	—
723	#120	—	2	2	no	—
724	#120	—	2	2	no	—
725	C₄×Q₈	C₂³×C₃₁	1	2	yes	—
726	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
727	C₄×D₄	—	2	2	no	—
728	C₄×D₄	—	2	2	no	—
729	C₄×D₄	—	2	2	no	—
730	C₄×D₄	—	2	2	no	—
731	C₄×D₄	—	2	1	no	—
732	C₄×D₄	—	2	1	no	—
733	C₄×D₄	C₂³×C₃₁	1	2	yes	—
734	C₄×D₄	C₂³×C₃₁	1	2	yes	—
735	C₄×D₄	C₂³×C₃₁	1	2	yes	—
736	C₄×D₄	C₂³×C₃₁	1	2	yes	—
737	C₄×D₄	C₂³×C₃₁	1	2	yes	—
738	C₄×D₄	C₂³×C₃₁	1	2	yes	—
739	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
740	#117	C₂³×C₃₁	1	2	yes	—
741	#117	C₂³×C₃₁	1	2	yes	—
742	C₂×C₄⋊C₄	—	2	1	no	—
743	C₂×C₄⋊C₄	—	2	1	no	—
744	C₂×C₄⋊C₄	—	2	2	no	—
745	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
746	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
747	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
748	C₂×C₂²⋊C₄	—	2	1	no	—
749	C₂×C₂²⋊C₄	—	2	1	no	—
750	C₂×C₂²⋊C₄	—	2	2	no	—
751	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
752	#107	C₂³×C₃₁	1	2	yes	—
753	#107	C₂³×C₃₁	1	2	yes	—
754	#107	C₂³×C₃₁	1	2	yes	—
755	#107	C₂³×C₃₁	1	2	yes	—
756	#106	C₂³×C₃₁	1	2	yes	—
757	#106	C₂³×C₃₁	1	2	yes	—
758	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
759	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
760	C₄⋊C₈	C₂³×C₃₁	1	2	yes	—
761	C₄⋊C₈	C₂³×C₃₁	1	2	yes	—
762	#103	C₂³×C₃₁	1	2	yes	—
763	#103	C₂³×C₃₁	1	2	yes	—
764	#103	C₂³×C₃₁	1	2	yes	—
765	#103	C₂³×C₃₁	1	2	yes	—
766	#103	C₂³×C₃₁	1	2	yes	—
767	#103	C₂³×C₃₁	1	2	yes	—
768	#102	C₂³×C₃₁	1	2	yes	—
769	#102	C₂³×C₃₁	1	2	yes	—
770	#102	C₂³×C₃₁	1	2	yes	—
771	#102	C₂³×C₃₁	1	2	yes	—
772	#102	C₂³×C₃₁	1	2	yes	—
773	#102	C₂³×C₃₁	1	2	yes	—
774	#102	C₂³×C₃₁	1	2	yes	—
775	#102	C₂³×C₃₁	1	2	yes	—
776	#102	C₂³×C₃₁	1	2	yes	—
777	#102	C₂³×C₃₁	1	2	yes	—
778	#102	C₂³×C₃₁	1	2	yes	—
779	#102	C₂³×C₃₁	1	2	yes	—
780	#102	C₂³×C₃₁	1	2	yes	—
781	#102	C₂³×C₃₁	1	2	yes	—
782	C₂²⋊C₈	C₂³×C₃₁	1	2	yes	—
783	C₂²⋊C₈	C₂³×C₃₁	1	2	yes	—
784	C₂²⋊C₈	C₂³×C₃₁	1	2	yes	—
785	#97	C₂³×C₃₁	1	2	yes	—
786	#97	C₂³×C₃₁	1	2	yes	—
787	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
788	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
789	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
790	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
791	C₄×C₈	C₂³×C₃₁	1	2	yes	—
792	C₃₁	#62558	1	1	yes	characteristic, direct product factor, Sylow
793	C₂⁴	—	2	1	no	—
794	C₂⁴	—	2	2	no	—
795	#41	—	4	2	no	—
796	#41	—	4	2	no	—
797	#41	—	8	2	no	—
798	#41	—	8	2	no	—
799	#41	—	8	4	no	—
800	C₂×Q₈	—	2	2	no	—
801	C₂×Q₈	—	2	1	no	—
802	C₂×Q₈	—	2	1	no	—
803	C₂×Q₈	—	2	1	no	—
804	C₂×Q₈	—	4	1	no	—
805	C₂×Q₈	—	4	1	no	—
806	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
807	C₂×Q₈	C₂⁴×C₃₁	1	2	yes	—
808	C₂×D₄	—	2	2	no	—
809	C₂×D₄	—	2	2	no	—
810	C₂×D₄	—	2	2	no	—
811	C₂×D₄	—	2	2	no	—
812	C₂×D₄	—	2	2	no	—
813	C₂×D₄	—	2	2	no	—
814	C₂×D₄	—	2	2	no	—
815	C₂×D₄	—	2	1	no	—
816	C₂×D₄	—	2	1	no	—
817	C₂×D₄	—	2	1	no	—
818	C₂×D₄	—	2	1	no	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	2	no	—
821	C₂×D₄	—	2	1	no	—
822	C₂×D₄	—	4	1	no	—
823	C₂×D₄	—	4	1	no	—
824	C₂×D₄	—	4	2	no	—
825	C₂×D₄	—	4	2	no	—
826	C₂×D₄	—	8	4	no	—
827	C₂×D₄	C₂×D₄×C₃₁	1	2	yes	—
828	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
829	C₂×D₄	C₂⁴×C₃₁	1	2	yes	—
830	C₂×D₄	C₂⁴×C₃₁	1	2	yes	—
831	C₂×D₄	C₂⁴×C₃₁	1	2	yes	—
832	C₂²×C₄	—	2	1	no	—
833	C₂²×C₄	—	2	1	no	—
834	C₂²×C₄	—	2	1	no	—
835	C₂²×C₄	—	2	2	no	—
836	C₂²×C₄	—	2	2	no	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	2	no	—
839	C₂²×C₄	—	2	2	no	—
840	C₂²×C₄	—	2	2	no	—
841	C₂²×C₄	—	2	2	no	—
842	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
843	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
844	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
845	C₂²×C₄	C₂⁴×C₃₁	1	2	yes	—
846	SD₁₆	—	4	2	no	—
847	SD₁₆	—	4	2	no	—
848	D₈	—	4	2	no	—
849	D₈	—	4	2	no	—
850	D₈	—	4	2	no	—
851	D₈	—	4	2	no	—
852	M₁₆	—	4	2	no	—
853	C₂×C₈	—	4	1	no	—
854	C₂×C₈	—	4	2	no	—
855	C₂×C₈	—	4	1	no	—
856	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
857	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
858	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
859	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
860	C₂×C₈	C₂⁴×C₃₁	1	2	yes	—
861	C₂×C₈	C₂⁴×C₃₁	1	2	yes	—
862	C₄⋊C₄	—	2	2	no	—
863	C₄⋊C₄	—	2	2	no	—
864	C₄⋊C₄	—	2	2	no	—
865	C₄⋊C₄	—	2	2	no	—
866	C₄⋊C₄	—	2	2	no	—
867	C₄⋊C₄	—	2	2	no	—
868	C₄⋊C₄	—	2	1	no	—
869	C₄⋊C₄	—	2	2	no	—
870	C₄⋊C₄	—	2	1	no	—
871	C₄⋊C₄	—	2	2	no	—
872	C₄⋊C₄	—	2	1	no	—
873	C₄⋊C₄	—	2	1	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
877	C₄⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
878	C₄⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
879	C₄⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
880	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
881	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
882	C₄⋊C₄	C₂⁴×C₃₁	1	2	yes	—
883	C₄⋊C₄	C₂⁴×C₃₁	1	2	yes	—
884	C₄⋊C₄	C₂⁴×C₃₁	1	2	yes	—
885	C₄⋊C₄	C₂⁴×C₃₁	1	2	yes	—
886	C₂²⋊C₄	—	2	2	no	—
887	C₂²⋊C₄	—	2	2	no	—
888	C₂²⋊C₄	—	2	2	no	—
889	C₂²⋊C₄	—	2	2	no	—
890	C₂²⋊C₄	—	2	2	no	—
891	C₂²⋊C₄	—	2	2	no	—
892	C₂²⋊C₄	—	2	2	no	—
893	C₂²⋊C₄	—	2	2	no	—
894	C₂²⋊C₄	—	2	2	no	—
895	C₂²⋊C₄	—	2	2	no	—
896	C₂²⋊C₄	—	2	2	no	—
897	C₂²⋊C₄	—	2	2	no	—
898	C₂²⋊C₄	—	2	2	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	2	no	—
901	C₂²⋊C₄	—	2	2	no	—
902	C₂²⋊C₄	—	2	2	no	—
903	C₂²⋊C₄	—	2	2	no	—
904	C₂²⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
905	C₂²⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
906	C₂²⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
907	C₂²⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
908	C₂²⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
909	C₄²	—	2	2	no	—
910	C₄²	—	2	2	no	—
911	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
912	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
913	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
914	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
915	C₄²	C₂⁴×C₃₁	1	2	yes	—
916	C₂³	—	2	2	no	—
917	C₂³	—	2	2	no	—
918	C₂³	—	2	2	no	—
919	C₂³	—	4	2	no	—
920	C₂³	—	8	1	no	—
921	C₂³	—	8	2	no	—
922	C₂³	—	8	2	no	—
923	C₂³	—	8	1	no	—
924	C₂³	—	8	2	no	—
925	C₂³	C₂²×D₄×C₃₁	1	2	yes	—
926	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
927	Q₈	—	2	2	no	—
928	Q₈	—	2	2	no	—
929	Q₈	—	4	1	no	—
930	Q₈	—	8	1	no	—
931	Q₈	—	8	1	no	—
932	Q₈	—	8	1	no	—
933	Q₈	—	8	2	no	—
934	D₄	—	2	4	no	—
935	D₄	—	2	2	no	—
936	D₄	—	2	2	no	—
937	D₄	—	2	2	no	—
938	D₄	—	2	2	no	—
939	D₄	—	2	2	no	—
940	D₄	—	2	2	no	—
941	D₄	—	4	1	no	—
942	D₄	—	4	4	no	—
943	D₄	—	4	4	no	—
944	D₄	—	8	1	no	—
945	D₄	—	8	1	no	—
946	D₄	—	8	2	no	—
947	D₄	—	8	2	no	—
948	D₄	—	8	1	no	—
949	D₄	—	8	2	no	—
950	D₄	—	8	1	no	—
951	D₄	—	8	1	no	—
952	D₄	—	8	2	no	—
953	D₄	—	8	2	no	—
954	D₄	—	8	2	no	—
955	D₄	—	8	2	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	2	1	no	—
958	C₂×C₄	—	2	1	no	—
959	C₂×C₄	—	2	2	no	—
960	C₂×C₄	—	2	2	no	—
961	C₂×C₄	—	2	2	no	—
962	C₂×C₄	—	2	2	no	—
963	C₂×C₄	—	2	2	no	—
964	C₂×C₄	—	2	2	no	—
965	C₂×C₄	—	2	2	no	—
966	C₂×C₄	—	4	1	no	—
967	C₂×C₄	—	4	2	no	—
968	C₂×C₄	—	8	2	no	—
969	C₂×C₄	—	8	2	no	—
970	C₂×C₄	—	8	2	no	—
971	C₂×C₄	—	8	2	no	—
972	C₂×C₄	—	8	2	no	—
973	C₂×C₄	—	8	2	no	—
974	C₂×C₄	—	8	1	no	—
975	C₂×C₄	—	8	1	no	—
976	C₂×C₄	—	8	2	no	—
977	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
978	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
979	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
980	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
981	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
982	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
983	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
984	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
985	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
986	C₈	—	2	1	no	—
987	C₈	—	2	1	no	—
988	C₈	—	2	1	no	—
989	C₈	—	2	1	no	—
990	C₈	—	2	2	no	—
991	C₈	—	2	2	no	—
992	C₂²	—	2	1	no	—
993	C₂²	—	2	1	no	—
994	C₂²	—	2	2	no	—
995	C₂²	—	2	2	no	—
996	C₂²	—	2	2	no	—
997	C₂²	—	4	2	no	—
998	C₂²	—	4	2	no	—
999	C₂²	—	4	2	no	—
1000	C₂²	—	4	2	no	—
1001	C₂²	—	4	2	no	—
1002	C₂²	—	4	2	no	—
1003	C₂²	—	4	2	no	—
1004	C₂²	—	4	2	no	—
1005	C₂²	—	4	2	no	—
1006	C₂²	—	16	2	no	—
1007	C₂²	—	16	4	no	—
1008	C₂²	C₃₁×#576	1	2	yes	—
1009	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1010	C₄	—	2	2	no	—
1011	C₄	—	2	1	no	—
1012	C₄	—	2	1	no	—
1013	C₄	—	2	1	no	—
1014	C₄	—	2	2	no	—
1015	C₄	—	2	1	no	—
1016	C₄	—	2	1	no	—
1017	C₄	—	2	2	no	—
1018	C₄	—	4	2	no	—
1019	C₄	—	4	2	no	—
1020	C₄	—	4	2	no	—
1021	C₄	—	4	2	no	—
1022	C₄	—	4	2	no	—
1023	C₄	C₃₁×#585	1	1	yes	characteristic
1024	C₄	C₃₁×#585	1	1	yes	characteristic
1025	C₂	—	2	2	no	—
1026	C₂	—	4	2	no	—
1027	C₂	—	8	2	no	—
1028	C₂	—	8	2	no	—
1029	C₂	—	8	2	no	—
1030	C₂	C₃₁×#3500	1	1	yes	characteristic
1031	C₂	C₂×C₃₁×#576	1	1	yes	characteristic
1032	C₂	C₃₁×#3584	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×#3559	C₂	semidirect
2. C₃₁×#3558	C₂	semidirect
3. C₃₁×#3370	C₂	semidirect
4. C₃₁×#3361	C₂	semidirect
5. C₃₁×#3322	C₂	semidirect
6. C₃₁×#3318	C₂	semidirect
7. C₃₁×#3308	C₂	semidirect
8. C₃₁×#3301	C₂	semidirect
9. C₃₁×#3297	C₂	semidirect
10. C₃₁×#3294	C₂	semidirect
11. C₃₁×#3243	C₂	semidirect
12. C₃₁×#3234	C₂	semidirect
13. C₃₁×#3220	C₂	semidirect
14. C₃₁×#3213	C₂	semidirect
15. C₃₁×#3179	C₂	semidirect
16. C₃₁×#3169	C₂	semidirect
17. C₃₁×#3136	C₂	semidirect
18. C₂×C₃₁×#488	C₂	semidirect
19. C₃₁×#2966	C₂	semidirect
25. C₃₁×#554	C₂²	semidirect
26. C₃₁×#553	C₂²	semidirect
27. C₃₁×#553	C₂²	semidirect
30. C₃₁×#547	C₂²	semidirect
34. C₃₁×#544	C₂²	semidirect
36. C₃₁×#540	C₂²	semidirect
45. C₃₁×#532	C₂²	semidirect
47. C₂×C₃₁×#125	C₂²	semidirect
49. C₃₁×#501	C₂²	semidirect
50. C₃₁×#500	C₂²	semidirect
51. C₃₁×#496	C₂²	semidirect
52. C₃₁×#493	C₂²	semidirect
54. C₃₁×#490	C₂²	semidirect
55. C₃₁×#489	C₂²	semidirect
56. C₃₁×#489	C₂²	semidirect
57. C₃₁×#488	C₂²	semidirect
58. C₃₁×#488	C₂²	semidirect
59. C₃₁×#488	C₂²	semidirect
60. C₃₁×#488	C₂²	semidirect
61. C₃₁×#488	C₂²	semidirect
63. C₃₁×#486	C₂²	semidirect
64. C₃₁×#486	C₂²	semidirect
65. C₃₁×#485	C₂²	semidirect
66. C₃₁×#484	C₂²	semidirect
68. C₃₁×#481	C₂²	semidirect
70. C₃₁×#480	C₂²	semidirect
71. C₃₁×#479	C₂²	semidirect
72. C₃₁×#478	C₂²	semidirect
73. C₃₁×#478	C₂²	semidirect
74. C₃₁×#478	C₂²	semidirect
75. C₃₁×#477	C₂²	semidirect
76. C₃₁×#474	C₂²	semidirect
78. C₃₁×#468	C₂²	semidirect
80. C₃₁×#466	C₂²	semidirect
81. C₃₁×#466	C₂²	semidirect
82. C₃₁×#465	C₂²	semidirect
83. C₃₁×#463	C₂²	semidirect
84. C₃₁×#463	C₂²	semidirect
85. C₃₁×#463	C₂²	semidirect
86. C₃₁×#463	C₂²	semidirect
89. C₃₁×#449	C₂²	semidirect
90. C₃₁×#449	C₂²	semidirect
91. C₃₁×#448	C₂²	semidirect
93. C₃₁×#447	C₂²	semidirect
94. C₃₁×#447	C₂²	semidirect
95. C₃₁×#446	C₂²	semidirect
96. C₈×Q₈×C₃₁	C₂²	semidirect
97. C₃₁×#442	C₂²	semidirect
98. C₃₁×#440	C₂²	semidirect
99. C₄×SD₁₆×C₃₁	C₂²	semidirect
100. C₄×D₈×C₃₁	C₂²	semidirect
101. C₄×D₈×C₃₁	C₂²	semidirect
102. C₄×D₈×C₃₁	C₂²	semidirect
103. C₃₁×#436	C₂²	semidirect
104. C₃₁×#435	C₂²	semidirect
105. C₈×D₄×C₃₁	C₂²	semidirect
106. C₈×D₄×C₃₁	C₂²	semidirect
107. C₃₁×#433	C₂²	semidirect
108. C₃₁×#432	C₂²	semidirect
109. C₃₁×#418	C₂²	semidirect
110. C₃₁×#417	C₂²	semidirect
111. C₃₁×#416	C₂²	semidirect
112. C₂×C₃₁×#103	C₂²	semidirect
113. C₂×C₃₁×#103	C₂²	semidirect
116. C₂×C₃₁×#102	C₂²	semidirect
117. C₃₁×#405	C₂²	semidirect
118. C₂×C₄×C₈×C₃₁	C₂²	semidirect
399. #62558	C₃₁	direct (N × H)
476. #3559	C₂×C₃₁	semidirect
477. #3558	C₂×C₃₁	semidirect
478. #3370	C₂×C₃₁	semidirect
479. #3361	C₂×C₃₁	semidirect
480. #3322	C₂×C₃₁	semidirect
481. #3318	C₂×C₃₁	semidirect
482. #3308	C₂×C₃₁	semidirect
483. #3301	C₂×C₃₁	semidirect
484. #3297	C₂×C₃₁	semidirect
485. #3294	C₂×C₃₁	semidirect
486. #3243	C₂×C₃₁	semidirect
487. #3234	C₂×C₃₁	semidirect
488. #3220	C₂×C₃₁	semidirect
489. #3213	C₂×C₃₁	semidirect
490. #3179	C₂×C₃₁	semidirect
491. #3169	C₂×C₃₁	semidirect
492. #3136	C₂×C₃₁	semidirect
493. C₂×#488	C₂×C₃₁	semidirect
494. #2966	C₂×C₃₁	semidirect
533. #554	C₂²×C₃₁	semidirect
534. #553	C₂²×C₃₁	semidirect
535. #553	C₂²×C₃₁	semidirect
538. #547	C₂²×C₃₁	semidirect
542. #544	C₂²×C₃₁	semidirect
544. #540	C₂²×C₃₁	semidirect
553. #532	C₂²×C₃₁	semidirect
555. C₂×#125	C₂²×C₃₁	semidirect
557. #501	C₂²×C₃₁	semidirect
558. #500	C₂²×C₃₁	semidirect
559. #496	C₂²×C₃₁	semidirect
560. #493	C₂²×C₃₁	semidirect
562. #490	C₂²×C₃₁	semidirect
563. #489	C₂²×C₃₁	semidirect
564. #489	C₂²×C₃₁	semidirect
565. #488	C₂²×C₃₁	semidirect
566. #488	C₂²×C₃₁	semidirect
567. #488	C₂²×C₃₁	semidirect
568. #488	C₂²×C₃₁	semidirect
569. #488	C₂²×C₃₁	semidirect
571. #486	C₂²×C₃₁	semidirect
572. #486	C₂²×C₃₁	semidirect
573. #485	C₂²×C₃₁	semidirect
574. #484	C₂²×C₃₁	semidirect
576. #481	C₂²×C₃₁	semidirect
578. #480	C₂²×C₃₁	semidirect
579. #479	C₂²×C₃₁	semidirect
580. #478	C₂²×C₃₁	semidirect
581. #478	C₂²×C₃₁	semidirect
582. #478	C₂²×C₃₁	semidirect
583. #477	C₂²×C₃₁	semidirect
584. #474	C₂²×C₃₁	semidirect
586. #468	C₂²×C₃₁	semidirect
588. #466	C₂²×C₃₁	semidirect
589. #466	C₂²×C₃₁	semidirect
590. #465	C₂²×C₃₁	semidirect
591. #463	C₂²×C₃₁	semidirect
592. #463	C₂²×C₃₁	semidirect
593. #463	C₂²×C₃₁	semidirect
594. #463	C₂²×C₃₁	semidirect
597. #449	C₂²×C₃₁	semidirect
598. #449	C₂²×C₃₁	semidirect
599. #448	C₂²×C₃₁	semidirect
601. #447	C₂²×C₃₁	semidirect
602. #447	C₂²×C₃₁	semidirect
603. #446	C₂²×C₃₁	semidirect
604. C₈×Q₈	C₂²×C₃₁	semidirect
605. #442	C₂²×C₃₁	semidirect
606. #440	C₂²×C₃₁	semidirect
607. C₄×SD₁₆	C₂²×C₃₁	semidirect
608. C₄×D₈	C₂²×C₃₁	semidirect
609. C₄×D₈	C₂²×C₃₁	semidirect
610. C₄×D₈	C₂²×C₃₁	semidirect
611. #436	C₂²×C₃₁	semidirect
612. #435	C₂²×C₃₁	semidirect
613. C₈×D₄	C₂²×C₃₁	semidirect
614. C₈×D₄	C₂²×C₃₁	semidirect
615. #433	C₂²×C₃₁	semidirect
616. #432	C₂²×C₃₁	semidirect
617. #418	C₂²×C₃₁	semidirect
618. #417	C₂²×C₃₁	semidirect
619. #416	C₂²×C₃₁	semidirect
620. C₂×#103	C₂²×C₃₁	semidirect
621. C₂×#103	C₂²×C₃₁	semidirect
624. C₂×#102	C₂²×C₃₁	semidirect
625. #405	C₂²×C₃₁	semidirect
626. C₂×C₄×C₈	C₂²×C₃₁	semidirect
792. C₃₁	#62558	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×#3559	2
C₃₁×#3558	2
C₃₁×#3370	2
C₃₁×#3361	2
C₃₁×#3322	2
C₃₁×#3318	2
C₃₁×#3308	2
C₃₁×#3301	2
C₃₁×#3297	2
C₃₁×#3294	2
C₃₁×#3243	2
C₃₁×#3234	2
C₃₁×#3220	2
C₃₁×#3213	2
C₃₁×#3179	2
C₃₁×#3169	2
C₃₁×#3136	2
C₂×C₃₁×#488	2
C₃₁×#2966	2
#62558	31

Subgroups — C31×#62558 #21519317

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#62558 #21519317