Subgroups — C₃₁×#61908 #21518667

Order 7936.

1734 conjugacy classes of subgroups.

The subgroup lattice has 1118 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3507	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3480	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3402	C₂	1	2	yes	maximal, complemented
4	C₃₁×#3401	C₂	1	2	yes	maximal, complemented
5	C₃₁×#3400	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3399	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3396	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3394	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3376	C₂	1	2	yes	maximal, complemented
10	C₃₁×#3374	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3370	C₂	1	2	yes	maximal, complemented
12	C₃₁×#3368	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3365	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3364	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3219	C₂	1	2	yes	maximal, complemented
16	C₃₁×#3216	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3212	C₂	1	2	yes	maximal, complemented
18	C₃₁×#3207	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3115	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3111	C₂	1	2	yes	maximal, complemented
21	C₃₁×#3107	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3102	C₂	1	2	yes	maximal, complemented
23	C₃₁×#2984	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#559	C₂²	1	1	yes	characteristic
25	C₃₁×#559	C₂²	1	2	yes	—
26	C₃₁×#559	C₂²	1	1	yes	characteristic
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×#557	C₂²	1	1	yes	characteristic
31	C₃₁×#556	—	2	1	no	—
32	C₃₁×#556	—	2	1	no	—
33	C₃₁×#556	C₂²	1	1	yes	characteristic
34	C₃₁×#556	C₂²	1	2	yes	—
35	C₃₁×#556	C₂²	1	2	yes	—
36	C₃₁×#554	C₂²	1	2	yes	—
37	C₃₁×#553	—	2	1	no	—
38	C₃₁×#553	—	2	2	no	—
39	C₃₁×#552	—	2	2	no	—
40	C₃₁×#550	C₂²	1	1	yes	characteristic
41	C₃₁×#548	—	2	1	no	—
42	C₃₁×#539	—	2	2	no	—
43	C₃₁×#536	—	2	1	no	—
44	C₃₁×#533	C₂²	1	1	yes	characteristic
45	C₃₁×#532	C₂²	1	1	yes	characteristic
46	C₃₁×#532	C₂²	1	2	yes	—
47	C₃₁×#532	C₂²	1	1	yes	characteristic
48	C₃₁×#529	—	2	2	no	—
49	C₃₁×#529	—	2	1	no	—
50	C₃₁×#529	C₂²	1	2	yes	—
51	C₃₁×#529	C₂²	1	2	yes	—
52	C₃₁×#520	—	2	1	no	—
53	C₄×#41×C₃₁	—	2	1	no	—
54	C₄×#41×C₃₁	C₂²	1	2	yes	—
55	C₄×#41×C₃₁	C₂²	1	1	yes	characteristic
56	C₂×C₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
57	C₃₁×#497	C₂²	1	2	yes	—
58	C₃₁×#497	C₂²	1	2	yes	—
59	C₃₁×#496	C₂²	1	2	yes	—
60	C₃₁×#495	C₂²	1	2	yes	—
61	C₃₁×#495	C₂²	1	2	yes	—
62	C₃₁×#493	C₂²	1	1	yes	characteristic
63	C₃₁×#492	C₂²	1	1	yes	characteristic
64	C₃₁×#491	C₂²	1	2	yes	—
65	C₃₁×#490	C₂²	1	2	yes	—
66	C₃₁×#489	C₂²	1	2	yes	—
67	C₃₁×#488	C₂²	1	2	yes	—
68	C₃₁×#488	C₂²	1	2	yes	—
69	C₃₁×#487	C₂²	1	1	yes	characteristic
70	C₃₁×#486	C₂²	1	1	yes	characteristic
71	C₃₁×#485	C₂²	1	1	yes	characteristic
72	C₃₁×#485	C₂²	1	1	yes	characteristic
73	C₃₁×#482	C₂²	1	2	yes	—
74	C₃₁×#479	C₂²	1	2	yes	—
75	C₃₁×#479	C₂²	1	2	yes	—
76	C₃₁×#478	C₂²	1	2	yes	—
77	C₃₁×#478	C₂²	1	2	yes	—
78	C₃₁×#475	C₂²	1	1	yes	characteristic
79	C₃₁×#475	C₂²	1	1	yes	characteristic
80	C₃₁×#474	C₂²	1	1	yes	characteristic
81	C₃₁×#474	C₂²	1	1	yes	characteristic
82	C₃₁×#464	C₂²	1	2	yes	—
83	C₃₁×#464	C₂²	1	2	yes	—
84	C₃₁×#464	C₂²	1	2	yes	—
85	C₃₁×#464	C₂²	1	2	yes	—
86	C₃₁×#463	C₂²	1	2	yes	—
87	C₃₁×#463	C₂²	1	2	yes	—
88	C₃₁×#463	C₂²	1	2	yes	—
89	C₃₁×#463	C₂²	1	2	yes	—
90	C₃₁×#463	C₂²	1	2	yes	—
91	C₃₁×#463	C₂²	1	2	yes	—
92	C₃₁×#462	C₂²	1	1	yes	characteristic
93	C₃₁×#462	C₂²	1	1	yes	characteristic
94	C₃₁×#462	C₂²	1	1	yes	characteristic
95	C₃₁×#462	C₂²	1	2	yes	—
96	C₃₁×#461	C₂²	1	1	yes	characteristic
97	C₃₁×#461	C₂²	1	2	yes	—
98	C₃₁×#460	C₂²	1	1	yes	characteristic
99	C₃₁×#460	C₂²	1	1	yes	characteristic
100	C₃₁×#460	C₂²	1	2	yes	—
101	C₃₁×#460	C₂²	1	1	yes	characteristic
102	C₃₁×#459	C₂²	1	2	yes	—
103	C₃₁×#459	C₂²	1	1	yes	characteristic
104	C₃₁×#452	C₂²	1	2	yes	—
105	C₃₁×#452	C₂²	1	1	yes	characteristic
106	C₃₁×#452	C₂²	1	1	yes	characteristic
107	C₃₁×#452	C₂²	1	2	yes	—
108	C₃₁×#449	C₂²	1	2	yes	—
109	C₃₁×#449	C₂²	1	2	yes	—
110	C₃₁×#449	C₂²	1	2	yes	—
111	C₃₁×#446	C₂²	1	1	yes	characteristic
112	C₃₁×#446	C₂²	1	2	yes	—
113	C₃₁×#446	C₂²	1	1	yes	characteristic
114	C₃₁×#446	C₂²	1	2	yes	—
115	C₈×Q₈×C₃₁	C₂²	1	1	yes	characteristic
116	C₈×Q₈×C₃₁	C₂²	1	1	yes	characteristic
117	C₃₁×#442	C₂²	1	2	yes	—
118	C₃₁×#442	C₂²	1	2	yes	—
119	C₃₁×#441	C₂²	1	2	yes	—
120	C₃₁×#440	C₂²	1	2	yes	—
121	C₃₁×#440	C₂²	1	2	yes	—
122	C₃₁×#440	C₂²	1	2	yes	—
123	C₄×Q₁₆×C₃₁	C₂²	1	2	yes	—
124	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
125	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
126	C₄×SD₁₆×C₃₁	C₂²	1	2	yes	—
127	C₄×SD₁₆×C₃₁	C₂²	1	2	yes	—
128	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
129	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
130	C₄×D₈×C₃₁	C₂²	1	2	yes	—
131	C₃₁×#432	C₂²	1	2	yes	—
132	C₃₁×#432	C₂²	1	1	yes	characteristic
133	C₃₁×#431	C₂²	1	2	yes	—
134	C₃₁×#431	C₂²	1	1	yes	characteristic
135	C₂×#41×C₃₁	—	2	1	no	—
136	C₂×#41×C₃₁	—	2	1	no	—
137	C₂×#41×C₃₁	C₂³	1	2	yes	—
138	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
139	C₂²×Q₈×C₃₁	D₄	1	1	yes	characteristic
140	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
141	C₂×Q₁₆×C₃₁	C₂³	1	2	yes	—
142	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
143	C₂×Q₁₆×C₃₁	C₂³	1	2	yes	—
144	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
145	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
146	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
147	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
148	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
149	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
150	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
151	C₂×D₈×C₃₁	C₂³	1	2	yes	—
152	C₂×D₈×C₃₁	C₂³	1	2	yes	—
153	C₂×D₈×C₃₁	C₂³	1	2	yes	—
154	C₃₁×C₄⋊Q₈	—	2	1	no	—
155	C₃₁×C₄⋊Q₈	—	2	1	no	—
156	C₃₁×C₄⋊Q₈	C₂³	1	2	yes	—
157	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
158	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
159	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
160	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₃₁×#127	C₂³	1	2	yes	—
162	C₃₁×#127	C₂³	1	1	yes	characteristic
163	C₃₁×#127	C₂³	1	1	yes	characteristic
164	C₃₁×#126	—	2	2	no	—
165	C₃₁×#126	—	2	2	no	—
166	C₃₁×#126	—	2	2	no	—
167	C₃₁×#126	—	2	2	no	—
168	C₃₁×#126	—	2	2	no	—
169	C₃₁×#126	—	2	2	no	—
170	C₃₁×#126	—	2	2	no	—
171	C₃₁×#125	—	2	1	no	—
172	C₃₁×#125	—	2	2	no	—
173	C₃₁×#125	—	2	2	no	—
174	C₃₁×#125	—	2	2	no	—
175	C₃₁×#125	—	2	1	no	—
176	C₃₁×#125	C₂³	1	2	yes	—
177	C₃₁×#125	C₂³	1	2	yes	—
178	C₃₁×#124	—	2	1	no	—
179	C₃₁×#124	—	2	2	no	—
180	C₃₁×#124	—	2	1	no	—
181	C₃₁×#124	—	2	1	no	—
182	C₃₁×#124	—	2	1	no	—
183	C₃₁×#124	C₂³	1	2	yes	—
184	C₃₁×#124	C₂³	1	2	yes	—
185	C₃₁×#124	C₂³	1	2	yes	—
186	C₃₁×#124	C₂³	1	2	yes	—
187	C₃₁×#124	C₂³	1	2	yes	—
188	C₃₁×#123	—	2	2	no	—
189	C₃₁×#123	—	2	2	no	—
190	C₃₁×#123	—	2	2	no	—
191	C₃₁×#123	—	2	2	no	—
192	C₃₁×#123	—	2	2	no	—
193	C₃₁×#123	—	2	2	no	—
194	C₃₁×#123	—	2	2	no	—
195	C₃₁×C₂²⋊Q₈	—	2	1	no	—
196	C₃₁×C₂²⋊Q₈	—	2	2	no	—
197	C₃₁×C₂²⋊Q₈	—	2	2	no	—
198	C₃₁×C₂²⋊Q₈	—	2	2	no	—
199	C₃₁×C₂²⋊Q₈	—	2	1	no	—
200	C₃₁×C₂²⋊Q₈	—	2	2	no	—
201	C₃₁×C₂²⋊Q₈	—	2	2	no	—
202	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
203	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
204	C₃₁×#121	—	2	1	no	—
205	C₃₁×#121	—	2	1	no	—
206	C₃₁×#121	—	2	2	no	—
207	C₃₁×#121	—	2	2	no	—
208	C₃₁×#121	—	2	1	no	—
209	C₃₁×#121	—	2	1	no	—
210	C₃₁×#121	—	2	2	no	—
211	C₃₁×#121	C₂³	1	2	yes	—
212	C₄×Q₈×C₃₁	—	2	1	no	—
213	C₄×Q₈×C₃₁	—	2	1	no	—
214	C₄×Q₈×C₃₁	—	2	1	no	—
215	C₄×Q₈×C₃₁	—	2	1	no	—
216	C₄×Q₈×C₃₁	D₄	1	1	yes	characteristic
217	C₄×Q₈×C₃₁	D₄	1	2	yes	—
218	C₄×Q₈×C₃₁	D₄	1	1	yes	characteristic
219	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
220	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
221	C₄×Q₈×C₃₁	C₂³	1	2	yes	—
222	C₄×Q₈×C₃₁	C₂³	1	2	yes	—
223	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
224	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₃₁	C₂³	1	2	yes	—
226	C₄×Q₈×C₃₁	C₂³	1	2	yes	—
227	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₃₁	C₂³	1	2	yes	—
230	C₄×D₄×C₃₁	—	2	1	no	—
231	C₄×D₄×C₃₁	—	2	2	no	—
232	C₄×D₄×C₃₁	—	2	2	no	—
233	C₄×D₄×C₃₁	—	2	1	no	—
234	C₄×D₄×C₃₁	—	2	2	no	—
235	C₄×D₄×C₃₁	—	2	2	no	—
236	C₄×D₄×C₃₁	—	2	1	no	—
237	C₄×D₄×C₃₁	—	2	2	no	—
238	C₄×D₄×C₃₁	—	2	1	no	—
239	C₄×D₄×C₃₁	—	2	1	no	—
240	C₄×D₄×C₃₁	—	2	2	no	—
241	C₄×D₄×C₃₁	—	2	1	no	—
242	C₄×D₄×C₃₁	—	2	2	no	—
243	C₄×D₄×C₃₁	—	2	1	no	—
244	C₄×D₄×C₃₁	—	2	1	no	—
245	C₄×D₄×C₃₁	C₂³	1	2	yes	—
246	C₄×D₄×C₃₁	C₂³	1	2	yes	—
247	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₃₁	C₂³	1	2	yes	—
249	C₄×D₄×C₃₁	C₂³	1	2	yes	—
250	C₄×D₄×C₃₁	C₂³	1	2	yes	—
251	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
252	C₃₁×#117	—	2	1	no	—
253	C₃₁×#117	—	2	1	no	—
254	C₃₁×#117	—	2	2	no	—
255	C₃₁×#117	—	2	2	no	—
256	C₃₁×#117	—	2	2	no	—
257	C₃₁×#117	—	2	1	no	—
258	C₃₁×#117	—	2	2	no	—
259	C₃₁×#117	—	2	2	no	—
260	C₃₁×#117	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄×C₃₁	—	2	2	no	—
262	C₂×C₄⋊C₄×C₃₁	D₄	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₃₁	D₄	1	2	yes	—
264	C₂×C₄²×C₃₁	—	2	2	no	—
265	C₂×C₄²×C₃₁	—	2	1	no	—
266	C₂×C₄²×C₃₁	C₂³	1	2	yes	—
267	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
268	C₃₁×#107	C₂³	1	1	yes	characteristic
269	C₃₁×#107	C₂³	1	1	yes	characteristic
270	C₃₁×#107	C₂³	1	2	yes	—
271	C₃₁×#106	C₂³	1	1	yes	characteristic
272	C₃₁×#106	C₂³	1	2	yes	—
273	C₃₁×#106	C₂³	1	1	yes	characteristic
274	C₃₁×C₄⋊C₈	C₂³	1	2	yes	—
275	C₃₁×C₄⋊C₈	C₂³	1	2	yes	—
276	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
277	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
279	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
280	C₃₁×C₄⋊C₈	C₂³	1	2	yes	—
281	C₃₁×C₄⋊C₈	C₂³	1	2	yes	—
282	C₃₁×#103	C₂³	1	1	yes	characteristic
283	C₃₁×#103	C₂³	1	1	yes	characteristic
284	C₃₁×#103	C₂³	1	1	yes	characteristic
285	C₃₁×#103	C₂³	1	2	yes	—
286	C₃₁×#103	C₂³	1	1	yes	characteristic
287	C₃₁×#103	C₂³	1	2	yes	—
288	C₃₁×#103	C₂³	1	1	yes	characteristic
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	2	yes	—
293	C₃₁×#102	C₂³	1	2	yes	—
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	1	yes	characteristic
298	C₃₁×#102	C₂³	1	1	yes	characteristic
299	C₃₁×#102	C₂³	1	2	yes	—
300	C₃₁×#102	C₂³	1	2	yes	—
301	C₃₁×#102	C₂³	1	2	yes	—
302	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
303	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
304	C₃₁×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₃₁×#97	C₂³	1	2	yes	—
306	C₃₁×#97	C₂³	1	2	yes	—
307	C₃₁×#97	C₂³	1	2	yes	—
308	C₄×C₈×C₃₁	C₂³	1	2	yes	—
309	C₄×C₈×C₃₁	C₂³	1	2	yes	—
310	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
312	#41×C₃₁	—	4	1	no	—
313	#41×C₃₁	—	4	2	no	—
314	#41×C₃₁	—	4	2	no	—
315	#41×C₃₁	—	4	1	no	—
316	#41×C₃₁	—	4	4	no	—
317	#41×C₃₁	—	4	4	no	—
318	C₂×Q₈×C₃₁	—	2	1	no	—
319	C₂×Q₈×C₃₁	—	2	1	no	—
320	C₂×Q₈×C₃₁	—	4	2	no	—
321	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
322	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
323	C₂×Q₈×C₃₁	C₂×D₄	1	2	yes	—
324	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
325	C₂×Q₈×C₃₁	C₂⁴	1	2	yes	—
326	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
327	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
328	C₂×D₄×C₃₁	—	2	1	no	—
329	C₂×D₄×C₃₁	—	2	2	no	—
330	C₂×D₄×C₃₁	—	2	2	no	—
331	C₂×D₄×C₃₁	—	2	2	no	—
332	C₂×D₄×C₃₁	—	2	1	no	—
333	C₂×D₄×C₃₁	—	2	1	no	—
334	C₂×D₄×C₃₁	—	2	2	no	—
335	C₂×D₄×C₃₁	—	2	1	no	—
336	C₂×D₄×C₃₁	—	2	1	no	—
337	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
338	C₂×D₄×C₃₁	C₂⁴	1	2	yes	—
339	C₂×D₄×C₃₁	C₂⁴	1	2	yes	—
340	C₂²×C₄×C₃₁	—	2	2	no	—
341	C₂²×C₄×C₃₁	—	2	1	no	—
342	C₂²×C₄×C₃₁	—	2	2	no	—
343	C₂²×C₄×C₃₁	—	2	1	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	C₂×D₄	1	1	yes	characteristic
350	C₂²×C₄×C₃₁	C₂×D₄	1	2	yes	—
351	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
352	C₂²×C₄×C₃₁	C₂×D₄	1	2	yes	—
353	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
354	Q₁₆×C₃₁	—	4	1	no	—
355	Q₁₆×C₃₁	—	4	2	no	—
356	Q₁₆×C₃₁	—	4	1	no	—
357	Q₁₆×C₃₁	—	4	2	no	—
358	SD₁₆×C₃₁	—	4	1	no	—
359	SD₁₆×C₃₁	—	4	2	no	—
360	SD₁₆×C₃₁	—	4	2	no	—
361	SD₁₆×C₃₁	—	4	1	no	—
362	SD₁₆×C₃₁	—	4	2	no	—
363	SD₁₆×C₃₁	—	4	2	no	—
364	SD₁₆×C₃₁	—	4	2	no	—
365	D₈×C₃₁	—	4	2	no	—
366	D₈×C₃₁	—	4	2	no	—
367	D₈×C₃₁	—	4	2	no	—
368	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
369	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
370	C₂×C₈×C₃₁	C₂⁴	1	2	yes	—
371	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₃₁	C₂⁴	1	2	yes	—
373	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
374	C₄⋊C₄×C₃₁	—	2	1	no	—
375	C₄⋊C₄×C₃₁	—	2	2	no	—
376	C₄⋊C₄×C₃₁	—	2	2	no	—
377	C₄⋊C₄×C₃₁	—	2	1	no	—
378	C₄⋊C₄×C₃₁	—	2	1	no	—
379	C₄⋊C₄×C₃₁	—	2	1	no	—
380	C₄⋊C₄×C₃₁	—	2	2	no	—
381	C₄⋊C₄×C₃₁	—	2	1	no	—
382	C₄⋊C₄×C₃₁	—	2	2	no	—
383	C₄⋊C₄×C₃₁	—	2	1	no	—
384	C₄⋊C₄×C₃₁	—	2	2	no	—
385	C₄⋊C₄×C₃₁	—	2	1	no	—
386	C₄⋊C₄×C₃₁	—	2	2	no	—
387	C₄⋊C₄×C₃₁	—	2	2	no	—
388	C₄⋊C₄×C₃₁	—	2	1	no	—
389	C₄⋊C₄×C₃₁	—	2	2	no	—
390	C₄⋊C₄×C₃₁	—	2	1	no	—
391	C₄⋊C₄×C₃₁	—	2	1	no	—
392	C₄⋊C₄×C₃₁	—	2	1	no	—
393	C₄⋊C₄×C₃₁	—	2	1	no	—
394	C₄⋊C₄×C₃₁	—	2	2	no	—
395	C₄⋊C₄×C₃₁	—	2	2	no	—
396	C₄⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
397	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
398	C₄⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
399	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
404	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
405	C₄⋊C₄×C₃₁	C₂⁴	1	2	yes	—
406	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
408	C₂²⋊C₄×C₃₁	—	2	1	no	—
409	C₂²⋊C₄×C₃₁	—	2	1	no	—
410	C₂²⋊C₄×C₃₁	—	2	1	no	—
411	C₂²⋊C₄×C₃₁	—	2	2	no	—
412	C₂²⋊C₄×C₃₁	—	2	2	no	—
413	C₂²⋊C₄×C₃₁	—	2	2	no	—
414	C₂²⋊C₄×C₃₁	—	2	2	no	—
415	C₂²⋊C₄×C₃₁	—	2	2	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	2	no	—
420	C₂²⋊C₄×C₃₁	—	2	1	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	2	no	—
426	C₂²⋊C₄×C₃₁	—	2	2	no	—
427	C₂²⋊C₄×C₃₁	—	2	2	no	—
428	C₂²⋊C₄×C₃₁	—	2	2	no	—
429	C₄²×C₃₁	—	2	1	no	—
430	C₄²×C₃₁	—	2	2	no	—
431	C₄²×C₃₁	—	2	1	no	—
432	C₄²×C₃₁	—	2	2	no	—
433	C₄²×C₃₁	—	2	1	no	—
434	C₄²×C₃₁	—	2	2	no	—
435	C₄²×C₃₁	—	2	2	no	—
436	C₄²×C₃₁	—	2	1	no	—
437	C₄²×C₃₁	—	2	1	no	—
438	C₄²×C₃₁	C₂×D₄	1	2	yes	—
439	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
440	C₄²×C₃₁	C₂×D₄	1	2	yes	—
441	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
442	C₄²×C₃₁	C₂⁴	1	2	yes	—
443	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
444	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
445	C₄²×C₃₁	C₂⁴	1	2	yes	—
446	#61908	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
447	C₂³×C₃₁	—	2	2	no	—
448	C₂³×C₃₁	—	2	1	no	—
449	C₂³×C₃₁	—	2	2	no	—
450	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
451	Q₈×C₃₁	—	2	2	no	—
452	Q₈×C₃₁	—	2	2	no	—
453	Q₈×C₃₁	—	2	1	no	—
454	Q₈×C₃₁	—	2	1	no	—
455	Q₈×C₃₁	—	2	1	no	—
456	Q₈×C₃₁	—	2	1	no	—
457	Q₈×C₃₁	—	2	2	no	—
458	Q₈×C₃₁	—	2	2	no	—
459	Q₈×C₃₁	—	2	1	no	—
460	Q₈×C₃₁	—	2	1	no	—
461	Q₈×C₃₁	—	4	2	no	—
462	Q₈×C₃₁	—	4	2	no	—
463	Q₈×C₃₁	—	8	1	no	—
464	D₄×C₃₁	—	2	2	no	—
465	D₄×C₃₁	—	2	1	no	—
466	D₄×C₃₁	—	2	2	no	—
467	D₄×C₃₁	—	2	2	no	—
468	D₄×C₃₁	—	2	2	no	—
469	D₄×C₃₁	—	2	1	no	—
470	D₄×C₃₁	—	4	4	no	—
471	D₄×C₃₁	—	4	2	no	—
472	D₄×C₃₁	—	4	4	no	—
473	D₄×C₃₁	—	4	4	no	—
474	D₄×C₃₁	—	4	2	no	—
475	D₄×C₃₁	—	4	2	no	—
476	D₄×C₃₁	—	8	2	no	—
477	D₄×C₃₁	—	8	1	no	—
478	D₄×C₃₁	—	8	1	no	—
479	C₂×C₄×C₃₁	—	2	2	no	—
480	C₂×C₄×C₃₁	—	2	1	no	—
481	C₂×C₄×C₃₁	—	2	1	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	2	no	—
488	C₂×C₄×C₃₁	—	2	2	no	—
489	C₂×C₄×C₃₁	—	2	1	no	—
490	C₂×C₄×C₃₁	—	2	1	no	—
491	C₂×C₄×C₃₁	—	4	2	no	—
492	C₂×C₄×C₃₁	—	4	1	no	—
493	C₂×C₄×C₃₁	—	4	2	no	—
494	C₂×C₄×C₃₁	—	4	2	no	—
495	C₂×C₄×C₃₁	—	4	4	no	—
496	C₂×C₄×C₃₁	—	4	4	no	—
497	C₂×C₄×C₃₁	—	4	4	no	—
498	C₂×C₄×C₃₁	—	4	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	1	no	—
503	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
504	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
505	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
507	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
508	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
509	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
512	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
513	C₈×C₃₁	—	2	1	no	—
514	C₈×C₃₁	—	2	1	no	—
515	C₈×C₃₁	—	2	2	no	—
516	C₈×C₃₁	—	2	1	no	—
517	C₈×C₃₁	—	2	2	no	—
518	C₈×C₃₁	—	2	1	no	—
519	#3507	C₂×C₃₁	1	1	yes	characteristic, complemented
520	#3480	C₂×C₃₁	1	1	yes	characteristic, complemented
521	#3402	C₂×C₃₁	1	2	yes	complemented
522	#3401	C₂×C₃₁	1	2	yes	complemented
523	#3400	C₂×C₃₁	1	1	yes	characteristic, complemented
524	#3399	C₂×C₃₁	1	1	yes	characteristic, complemented
525	#3396	C₂×C₃₁	1	1	yes	characteristic, complemented
526	#3394	C₂×C₃₁	1	1	yes	characteristic, complemented
527	#3376	C₂×C₃₁	1	2	yes	complemented
528	#3374	C₂×C₃₁	1	1	yes	characteristic, complemented
529	#3370	C₂×C₃₁	1	2	yes	complemented
530	#3368	C₂×C₃₁	1	1	yes	characteristic, complemented
531	#3365	C₂×C₃₁	1	1	yes	characteristic, complemented
532	#3364	C₂×C₃₁	1	1	yes	characteristic, complemented
533	#3219	C₂×C₃₁	1	2	yes	complemented
534	#3216	C₂×C₃₁	1	1	yes	characteristic, complemented
535	#3212	C₂×C₃₁	1	2	yes	complemented
536	#3207	C₂×C₃₁	1	1	yes	characteristic, complemented
537	#3115	C₂×C₃₁	1	1	yes	characteristic, complemented
538	#3111	C₂×C₃₁	1	2	yes	complemented
539	#3107	C₂×C₃₁	1	1	yes	characteristic, complemented
540	#3102	C₂×C₃₁	1	2	yes	complemented
541	#2984	C₂×C₃₁	1	1	yes	characteristic, complemented
542	C₂²×C₃₁	—	2	1	no	—
543	C₂²×C₃₁	—	2	1	no	—
544	C₂²×C₃₁	—	2	1	no	—
545	C₂²×C₃₁	—	4	2	no	—
546	C₂²×C₃₁	—	4	2	no	—
547	C₂²×C₃₁	—	4	1	no	—
548	C₂²×C₃₁	—	4	1	no	—
549	C₂²×C₃₁	—	4	2	no	—
550	C₂²×C₃₁	—	4	2	no	—
551	C₂²×C₃₁	—	4	2	no	—
552	C₂²×C₃₁	—	4	2	no	—
553	C₂²×C₃₁	—	4	1	no	—
554	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
555	C₄×C₃₁	—	2	2	no	—
556	C₄×C₃₁	—	2	2	no	—
557	C₄×C₃₁	—	2	1	no	—
558	C₄×C₃₁	—	2	1	no	—
559	C₄×C₃₁	—	2	1	no	—
560	C₄×C₃₁	—	2	1	no	—
561	C₄×C₃₁	—	2	2	no	—
562	C₄×C₃₁	—	2	2	no	—
563	C₄×C₃₁	—	4	1	no	—
564	C₄×C₃₁	—	4	1	no	—
565	C₄×C₃₁	—	4	1	no	—
566	C₄×C₃₁	—	4	1	no	—
567	C₄×C₃₁	—	4	2	no	—
568	C₄×C₃₁	—	4	1	no	—
569	C₄×C₃₁	—	4	1	no	—
570	C₄×C₃₁	—	4	1	no	—
571	C₄×C₃₁	—	4	2	no	—
572	C₄×C₃₁	#575	1	2	yes	—
573	C₄×C₃₁	#585	1	1	yes	characteristic
574	C₄×C₃₁	#585	1	1	yes	characteristic
575	#559	C₂²×C₃₁	1	1	yes	characteristic
576	#559	C₂²×C₃₁	1	2	yes	—
577	#559	C₂²×C₃₁	1	1	yes	characteristic
578	#559	C₂²×C₃₁	1	1	yes	characteristic
579	#557	C₂²×C₃₁	1	1	yes	characteristic
580	#557	C₂²×C₃₁	1	1	yes	characteristic
581	#557	C₂²×C₃₁	1	1	yes	characteristic
582	#556	—	2	1	no	—
583	#556	—	2	1	no	—
584	#556	C₂²×C₃₁	1	1	yes	characteristic
585	#556	C₂²×C₃₁	1	2	yes	—
586	#556	C₂²×C₃₁	1	2	yes	—
587	#554	C₂²×C₃₁	1	2	yes	—
588	#553	—	2	1	no	—
589	#553	—	2	2	no	—
590	#552	—	2	2	no	—
591	#550	C₂²×C₃₁	1	1	yes	characteristic
592	#548	—	2	1	no	—
593	#539	—	2	2	no	—
594	#536	—	2	1	no	—
595	#533	C₂²×C₃₁	1	1	yes	characteristic
596	#532	C₂²×C₃₁	1	1	yes	characteristic
597	#532	C₂²×C₃₁	1	2	yes	—
598	#532	C₂²×C₃₁	1	1	yes	characteristic
599	#529	—	2	2	no	—
600	#529	—	2	1	no	—
601	#529	C₂²×C₃₁	1	2	yes	—
602	#529	C₂²×C₃₁	1	2	yes	—
603	#520	—	2	1	no	—
604	C₄×#41	—	2	1	no	—
605	C₄×#41	C₂²×C₃₁	1	2	yes	—
606	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic
607	C₂×C₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
608	#497	C₂²×C₃₁	1	2	yes	—
609	#497	C₂²×C₃₁	1	2	yes	—
610	#496	C₂²×C₃₁	1	2	yes	—
611	#495	C₂²×C₃₁	1	2	yes	—
612	#495	C₂²×C₃₁	1	2	yes	—
613	#493	C₂²×C₃₁	1	1	yes	characteristic
614	#492	C₂²×C₃₁	1	1	yes	characteristic
615	#491	C₂²×C₃₁	1	2	yes	—
616	#490	C₂²×C₃₁	1	2	yes	—
617	#489	C₂²×C₃₁	1	2	yes	—
618	#488	C₂²×C₃₁	1	2	yes	—
619	#488	C₂²×C₃₁	1	2	yes	—
620	#487	C₂²×C₃₁	1	1	yes	characteristic
621	#486	C₂²×C₃₁	1	1	yes	characteristic
622	#485	C₂²×C₃₁	1	1	yes	characteristic
623	#485	C₂²×C₃₁	1	1	yes	characteristic
624	#482	C₂²×C₃₁	1	2	yes	—
625	#479	C₂²×C₃₁	1	2	yes	—
626	#479	C₂²×C₃₁	1	2	yes	—
627	#478	C₂²×C₃₁	1	2	yes	—
628	#478	C₂²×C₃₁	1	2	yes	—
629	#475	C₂²×C₃₁	1	1	yes	characteristic
630	#475	C₂²×C₃₁	1	1	yes	characteristic
631	#474	C₂²×C₃₁	1	1	yes	characteristic
632	#474	C₂²×C₃₁	1	1	yes	characteristic
633	#464	C₂²×C₃₁	1	2	yes	—
634	#464	C₂²×C₃₁	1	2	yes	—
635	#464	C₂²×C₃₁	1	2	yes	—
636	#464	C₂²×C₃₁	1	2	yes	—
637	#463	C₂²×C₃₁	1	2	yes	—
638	#463	C₂²×C₃₁	1	2	yes	—
639	#463	C₂²×C₃₁	1	2	yes	—
640	#463	C₂²×C₃₁	1	2	yes	—
641	#463	C₂²×C₃₁	1	2	yes	—
642	#463	C₂²×C₃₁	1	2	yes	—
643	#462	C₂²×C₃₁	1	1	yes	characteristic
644	#462	C₂²×C₃₁	1	1	yes	characteristic
645	#462	C₂²×C₃₁	1	1	yes	characteristic
646	#462	C₂²×C₃₁	1	2	yes	—
647	#461	C₂²×C₃₁	1	1	yes	characteristic
648	#461	C₂²×C₃₁	1	2	yes	—
649	#460	C₂²×C₃₁	1	1	yes	characteristic
650	#460	C₂²×C₃₁	1	1	yes	characteristic
651	#460	C₂²×C₃₁	1	2	yes	—
652	#460	C₂²×C₃₁	1	1	yes	characteristic
653	#459	C₂²×C₃₁	1	2	yes	—
654	#459	C₂²×C₃₁	1	1	yes	characteristic
655	#452	C₂²×C₃₁	1	2	yes	—
656	#452	C₂²×C₃₁	1	1	yes	characteristic
657	#452	C₂²×C₃₁	1	1	yes	characteristic
658	#452	C₂²×C₃₁	1	2	yes	—
659	#449	C₂²×C₃₁	1	2	yes	—
660	#449	C₂²×C₃₁	1	2	yes	—
661	#449	C₂²×C₃₁	1	2	yes	—
662	#446	C₂²×C₃₁	1	1	yes	characteristic
663	#446	C₂²×C₃₁	1	2	yes	—
664	#446	C₂²×C₃₁	1	1	yes	characteristic
665	#446	C₂²×C₃₁	1	2	yes	—
666	C₈×Q₈	C₂²×C₃₁	1	1	yes	characteristic
667	C₈×Q₈	C₂²×C₃₁	1	1	yes	characteristic
668	#442	C₂²×C₃₁	1	2	yes	—
669	#442	C₂²×C₃₁	1	2	yes	—
670	#441	C₂²×C₃₁	1	2	yes	—
671	#440	C₂²×C₃₁	1	2	yes	—
672	#440	C₂²×C₃₁	1	2	yes	—
673	#440	C₂²×C₃₁	1	2	yes	—
674	C₄×Q₁₆	C₂²×C₃₁	1	2	yes	—
675	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
676	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
677	C₄×SD₁₆	C₂²×C₃₁	1	2	yes	—
678	C₄×SD₁₆	C₂²×C₃₁	1	2	yes	—
679	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
680	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
681	C₄×D₈	C₂²×C₃₁	1	2	yes	—
682	#432	C₂²×C₃₁	1	2	yes	—
683	#432	C₂²×C₃₁	1	1	yes	characteristic
684	#431	C₂²×C₃₁	1	2	yes	—
685	#431	C₂²×C₃₁	1	1	yes	characteristic
686	C₂×C₃₁	—	4	1	no	—
687	C₂×C₃₁	—	8	2	no	—
688	C₂×C₃₁	—	8	1	no	—
689	C₂×C₃₁	—	8	2	no	—
690	C₂×C₃₁	#3487	1	1	yes	characteristic
691	C₂×C₃₁	C₂×#575	1	1	yes	characteristic
692	C₂×C₃₁	#3584	1	1	yes	characteristic
693	C₂×#41	—	2	1	no	—
694	C₂×#41	—	2	1	no	—
695	C₂×#41	C₂³×C₃₁	1	2	yes	—
696	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
697	C₂²×Q₈	D₄×C₃₁	1	1	yes	characteristic
698	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
699	C₂×Q₁₆	C₂³×C₃₁	1	2	yes	—
700	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
701	C₂×Q₁₆	C₂³×C₃₁	1	2	yes	—
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×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
706	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	—
707	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	—
708	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	—
709	C₂×D₈	C₂³×C₃₁	1	2	yes	—
710	C₂×D₈	C₂³×C₃₁	1	2	yes	—
711	C₂×D₈	C₂³×C₃₁	1	2	yes	—
712	C₄⋊Q₈	—	2	1	no	—
713	C₄⋊Q₈	—	2	1	no	—
714	C₄⋊Q₈	C₂³×C₃₁	1	2	yes	—
715	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
716	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
717	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
718	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
719	#127	C₂³×C₃₁	1	2	yes	—
720	#127	C₂³×C₃₁	1	1	yes	characteristic
721	#127	C₂³×C₃₁	1	1	yes	characteristic
722	#126	—	2	2	no	—
723	#126	—	2	2	no	—
724	#126	—	2	2	no	—
725	#126	—	2	2	no	—
726	#126	—	2	2	no	—
727	#126	—	2	2	no	—
728	#126	—	2	2	no	—
729	#125	—	2	1	no	—
730	#125	—	2	2	no	—
731	#125	—	2	2	no	—
732	#125	—	2	2	no	—
733	#125	—	2	1	no	—
734	#125	C₂³×C₃₁	1	2	yes	—
735	#125	C₂³×C₃₁	1	2	yes	—
736	#124	—	2	1	no	—
737	#124	—	2	2	no	—
738	#124	—	2	1	no	—
739	#124	—	2	1	no	—
740	#124	—	2	1	no	—
741	#124	C₂³×C₃₁	1	2	yes	—
742	#124	C₂³×C₃₁	1	2	yes	—
743	#124	C₂³×C₃₁	1	2	yes	—
744	#124	C₂³×C₃₁	1	2	yes	—
745	#124	C₂³×C₃₁	1	2	yes	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	#123	—	2	2	no	—
750	#123	—	2	2	no	—
751	#123	—	2	2	no	—
752	#123	—	2	2	no	—
753	C₂²⋊Q₈	—	2	1	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	1	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
761	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
762	#121	—	2	1	no	—
763	#121	—	2	1	no	—
764	#121	—	2	2	no	—
765	#121	—	2	2	no	—
766	#121	—	2	1	no	—
767	#121	—	2	1	no	—
768	#121	—	2	2	no	—
769	#121	C₂³×C₃₁	1	2	yes	—
770	C₄×Q₈	—	2	1	no	—
771	C₄×Q₈	—	2	1	no	—
772	C₄×Q₈	—	2	1	no	—
773	C₄×Q₈	—	2	1	no	—
774	C₄×Q₈	D₄×C₃₁	1	1	yes	characteristic
775	C₄×Q₈	D₄×C₃₁	1	2	yes	—
776	C₄×Q₈	D₄×C₃₁	1	1	yes	characteristic
777	C₄×Q₈	C₂³×C₃₁	1	2	yes	—
778	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
779	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
780	C₄×Q₈	C₂³×C₃₁	1	2	yes	—
781	C₄×Q₈	C₂³×C₃₁	1	2	yes	—
782	C₄×Q₈	C₂³×C₃₁	1	2	yes	—
783	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
784	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
785	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
786	C₄×Q₈	C₂³×C₃₁	1	2	yes	—
787	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
788	C₄×D₄	—	2	1	no	—
789	C₄×D₄	—	2	2	no	—
790	C₄×D₄	—	2	2	no	—
791	C₄×D₄	—	2	1	no	—
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	2	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	2	no	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	2	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
804	C₄×D₄	C₂³×C₃₁	1	2	yes	—
805	C₄×D₄	C₂³×C₃₁	1	2	yes	—
806	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
807	C₄×D₄	C₂³×C₃₁	1	2	yes	—
808	C₄×D₄	C₂³×C₃₁	1	2	yes	—
809	C₄×D₄	C₂³×C₃₁	1	2	yes	—
810	#117	—	2	1	no	—
811	#117	—	2	1	no	—
812	#117	—	2	2	no	—
813	#117	—	2	2	no	—
814	#117	—	2	2	no	—
815	#117	—	2	1	no	—
816	#117	—	2	2	no	—
817	#117	—	2	2	no	—
818	#117	C₂³×C₃₁	1	1	yes	characteristic
819	C₂×C₄⋊C₄	—	2	2	no	—
820	C₂×C₄⋊C₄	D₄×C₃₁	1	1	yes	characteristic
821	C₂×C₄⋊C₄	D₄×C₃₁	1	2	yes	—
822	C₂×C₄²	—	2	2	no	—
823	C₂×C₄²	—	2	1	no	—
824	C₂×C₄²	C₂³×C₃₁	1	2	yes	—
825	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
826	#107	C₂³×C₃₁	1	1	yes	characteristic
827	#107	C₂³×C₃₁	1	1	yes	characteristic
828	#107	C₂³×C₃₁	1	2	yes	—
829	#106	C₂³×C₃₁	1	1	yes	characteristic
830	#106	C₂³×C₃₁	1	2	yes	—
831	#106	C₂³×C₃₁	1	1	yes	characteristic
832	C₄⋊C₈	C₂³×C₃₁	1	2	yes	—
833	C₄⋊C₈	C₂³×C₃₁	1	2	yes	—
834	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
835	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
836	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
837	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
838	C₄⋊C₈	C₂³×C₃₁	1	2	yes	—
839	C₄⋊C₈	C₂³×C₃₁	1	2	yes	—
840	#103	C₂³×C₃₁	1	1	yes	characteristic
841	#103	C₂³×C₃₁	1	1	yes	characteristic
842	#103	C₂³×C₃₁	1	1	yes	characteristic
843	#103	C₂³×C₃₁	1	2	yes	—
844	#103	C₂³×C₃₁	1	1	yes	characteristic
845	#103	C₂³×C₃₁	1	2	yes	—
846	#103	C₂³×C₃₁	1	1	yes	characteristic
847	#103	C₂³×C₃₁	1	1	yes	characteristic
848	#103	C₂³×C₃₁	1	2	yes	—
849	#103	C₂³×C₃₁	1	2	yes	—
850	#103	C₂³×C₃₁	1	2	yes	—
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	1	yes	characteristic
856	#102	C₂³×C₃₁	1	1	yes	characteristic
857	#102	C₂³×C₃₁	1	2	yes	—
858	#102	C₂³×C₃₁	1	2	yes	—
859	#102	C₂³×C₃₁	1	2	yes	—
860	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
861	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
862	C₂²⋊C₈	C₂³×C₃₁	1	2	yes	—
863	#97	C₂³×C₃₁	1	2	yes	—
864	#97	C₂³×C₃₁	1	2	yes	—
865	#97	C₂³×C₃₁	1	2	yes	—
866	C₄×C₈	C₂³×C₃₁	1	2	yes	—
867	C₄×C₈	C₂³×C₃₁	1	2	yes	—
868	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
869	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
870	C₃₁	#61908	1	1	yes	characteristic, direct product factor, Sylow
871	#41	—	4	1	no	—
872	#41	—	4	2	no	—
873	#41	—	4	2	no	—
874	#41	—	4	1	no	—
875	#41	—	4	4	no	—
876	#41	—	4	4	no	—
877	C₂×Q₈	—	2	1	no	—
878	C₂×Q₈	—	2	1	no	—
879	C₂×Q₈	—	4	2	no	—
880	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
881	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
882	C₂×Q₈	C₂×D₄×C₃₁	1	2	yes	—
883	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
884	C₂×Q₈	C₂⁴×C₃₁	1	2	yes	—
885	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
886	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
887	C₂×D₄	—	2	1	no	—
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	1	no	—
892	C₂×D₄	—	2	1	no	—
893	C₂×D₄	—	2	2	no	—
894	C₂×D₄	—	2	1	no	—
895	C₂×D₄	—	2	1	no	—
896	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
897	C₂×D₄	C₂⁴×C₃₁	1	2	yes	—
898	C₂×D₄	C₂⁴×C₃₁	1	2	yes	—
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
909	C₂²×C₄	C₂×D₄×C₃₁	1	2	yes	—
910	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
911	C₂²×C₄	C₂×D₄×C₃₁	1	2	yes	—
912	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
913	Q₁₆	—	4	1	no	—
914	Q₁₆	—	4	2	no	—
915	Q₁₆	—	4	1	no	—
916	Q₁₆	—	4	2	no	—
917	SD₁₆	—	4	1	no	—
918	SD₁₆	—	4	2	no	—
919	SD₁₆	—	4	2	no	—
920	SD₁₆	—	4	1	no	—
921	SD₁₆	—	4	2	no	—
922	SD₁₆	—	4	2	no	—
923	SD₁₆	—	4	2	no	—
924	D₈	—	4	2	no	—
925	D₈	—	4	2	no	—
926	D₈	—	4	2	no	—
927	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
928	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
929	C₂×C₈	C₂⁴×C₃₁	1	2	yes	—
930	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
931	C₂×C₈	C₂⁴×C₃₁	1	2	yes	—
932	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	1	no	—
937	C₄⋊C₄	—	2	1	no	—
938	C₄⋊C₄	—	2	1	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
956	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
957	C₄⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
958	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
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	2	yes	—
962	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
963	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
964	C₄⋊C₄	C₂⁴×C₃₁	1	2	yes	—
965	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
966	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
967	C₂²⋊C₄	—	2	1	no	—
968	C₂²⋊C₄	—	2	1	no	—
969	C₂²⋊C₄	—	2	1	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₄²	—	2	1	no	—
989	C₄²	—	2	2	no	—
990	C₄²	—	2	1	no	—
991	C₄²	—	2	2	no	—
992	C₄²	—	2	1	no	—
993	C₄²	—	2	2	no	—
994	C₄²	—	2	2	no	—
995	C₄²	—	2	1	no	—
996	C₄²	—	2	1	no	—
997	C₄²	C₂×D₄×C₃₁	1	2	yes	—
998	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
999	C₄²	C₂×D₄×C₃₁	1	2	yes	—
1000	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1001	C₄²	C₂⁴×C₃₁	1	2	yes	—
1002	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1003	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1004	C₄²	C₂⁴×C₃₁	1	2	yes	—
1005	C₂³	—	2	2	no	—
1006	C₂³	—	2	1	no	—
1007	C₂³	—	2	2	no	—
1008	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1009	Q₈	—	2	2	no	—
1010	Q₈	—	2	2	no	—
1011	Q₈	—	2	1	no	—
1012	Q₈	—	2	1	no	—
1013	Q₈	—	2	1	no	—
1014	Q₈	—	2	1	no	—
1015	Q₈	—	2	2	no	—
1016	Q₈	—	2	2	no	—
1017	Q₈	—	2	1	no	—
1018	Q₈	—	2	1	no	—
1019	Q₈	—	4	2	no	—
1020	Q₈	—	4	2	no	—
1021	Q₈	—	8	1	no	—
1022	D₄	—	2	2	no	—
1023	D₄	—	2	1	no	—
1024	D₄	—	2	2	no	—
1025	D₄	—	2	2	no	—
1026	D₄	—	2	2	no	—
1027	D₄	—	2	1	no	—
1028	D₄	—	4	4	no	—
1029	D₄	—	4	2	no	—
1030	D₄	—	4	4	no	—
1031	D₄	—	4	4	no	—
1032	D₄	—	4	2	no	—
1033	D₄	—	4	2	no	—
1034	D₄	—	8	2	no	—
1035	D₄	—	8	1	no	—
1036	D₄	—	8	1	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	1	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	2	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	4	2	no	—
1050	C₂×C₄	—	4	1	no	—
1051	C₂×C₄	—	4	2	no	—
1052	C₂×C₄	—	4	2	no	—
1053	C₂×C₄	—	4	4	no	—
1054	C₂×C₄	—	4	4	no	—
1055	C₂×C₄	—	4	4	no	—
1056	C₂×C₄	—	4	2	no	—
1057	C₂×C₄	—	8	2	no	—
1058	C₂×C₄	—	8	2	no	—
1059	C₂×C₄	—	8	2	no	—
1060	C₂×C₄	—	8	1	no	—
1061	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
1062	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1063	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1064	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
1065	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
1066	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
1067	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1068	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1069	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1070	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1071	C₈	—	2	1	no	—
1072	C₈	—	2	1	no	—
1073	C₈	—	2	2	no	—
1074	C₈	—	2	1	no	—
1075	C₈	—	2	2	no	—
1076	C₈	—	2	1	no	—
1077	C₂²	—	2	1	no	—
1078	C₂²	—	2	1	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	2	no	—
1082	C₂²	—	4	2	no	—
1083	C₂²	—	4	2	no	—
1084	C₂²	—	4	2	no	—
1085	C₂²	—	4	1	no	—
1086	C₂²	—	4	2	no	—
1087	C₂²	—	4	2	no	—
1088	C₂²	—	4	1	no	—
1089	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1090	C₄	—	2	1	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	2	2	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	2	2	no	—
1096	C₄	—	2	1	no	—
1097	C₄	—	2	1	no	—
1098	C₄	—	4	1	no	—
1099	C₄	—	4	2	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	1	no	—
1105	C₄	—	4	1	no	—
1106	C₄	—	4	1	no	—
1107	C₄	C₃₁×#575	1	2	yes	—
1108	C₄	C₃₁×#585	1	1	yes	characteristic
1109	C₄	C₃₁×#585	1	1	yes	characteristic
1110	C₂	—	4	1	no	—
1111	C₂	—	8	1	no	—
1112	C₂	—	8	2	no	—
1113	C₂	—	8	2	no	—
1114	C₂	C₃₁×#3487	1	1	yes	characteristic
1115	C₂	C₂×C₃₁×#575	1	1	yes	characteristic
1116	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 ◁ C₂×C₄×Q₈×C₃₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3507	C₂	semidirect
2. C₃₁×#3480	C₂	semidirect
3. C₃₁×#3402	C₂	semidirect
4. C₃₁×#3401	C₂	semidirect
5. C₃₁×#3400	C₂	semidirect
6. C₃₁×#3399	C₂	semidirect
7. C₃₁×#3396	C₂	semidirect
8. C₃₁×#3394	C₂	semidirect
9. C₃₁×#3376	C₂	semidirect
10. C₃₁×#3374	C₂	semidirect
11. C₃₁×#3370	C₂	semidirect
12. C₃₁×#3368	C₂	semidirect
13. C₃₁×#3365	C₂	semidirect
14. C₃₁×#3364	C₂	semidirect
15. C₃₁×#3219	C₂	semidirect
16. C₃₁×#3216	C₂	semidirect
17. C₃₁×#3212	C₂	semidirect
18. C₃₁×#3207	C₂	semidirect
19. C₃₁×#3115	C₂	semidirect
20. C₃₁×#3111	C₂	semidirect
21. C₃₁×#3107	C₂	semidirect
22. C₃₁×#3102	C₂	semidirect
23. C₃₁×#2984	C₂	semidirect
446. #61908	C₃₁	direct (N × H)
519. #3507	C₂×C₃₁	semidirect
520. #3480	C₂×C₃₁	semidirect
521. #3402	C₂×C₃₁	semidirect
522. #3401	C₂×C₃₁	semidirect
523. #3400	C₂×C₃₁	semidirect
524. #3399	C₂×C₃₁	semidirect
525. #3396	C₂×C₃₁	semidirect
526. #3394	C₂×C₃₁	semidirect
527. #3376	C₂×C₃₁	semidirect
528. #3374	C₂×C₃₁	semidirect
529. #3370	C₂×C₃₁	semidirect
530. #3368	C₂×C₃₁	semidirect
531. #3365	C₂×C₃₁	semidirect
532. #3364	C₂×C₃₁	semidirect
533. #3219	C₂×C₃₁	semidirect
534. #3216	C₂×C₃₁	semidirect
535. #3212	C₂×C₃₁	semidirect
536. #3207	C₂×C₃₁	semidirect
537. #3115	C₂×C₃₁	semidirect
538. #3111	C₂×C₃₁	semidirect
539. #3107	C₂×C₃₁	semidirect
540. #3102	C₂×C₃₁	semidirect
541. #2984	C₂×C₃₁	semidirect
870. C₃₁	#61908	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×#3507	2
C₃₁×#3480	2
C₃₁×#3402	2
C₃₁×#3401	2
C₃₁×#3400	2
C₃₁×#3399	2
C₃₁×#3396	2
C₃₁×#3394	2
C₃₁×#3376	2
C₃₁×#3374	2
C₃₁×#3370	2
C₃₁×#3368	2
C₃₁×#3365	2
C₃₁×#3364	2
C₃₁×#3219	2
C₃₁×#3216	2
C₃₁×#3212	2
C₃₁×#3207	2
C₃₁×#3115	2
C₃₁×#3111	2
C₃₁×#3107	2
C₃₁×#3102	2
C₃₁×#2984	2
#61908	31

Subgroups — C31×#61908 #21518667

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61908 #21518667