Subgroups — C₃₁×#61765 #21518524

Order 7936.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1050 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3536	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3492	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3345	C₂	1	2	yes	maximal, complemented
4	C₃₁×#3344	C₂	1	2	yes	maximal, complemented
5	C₃₁×#3335	C₂	1	2	yes	maximal, complemented
6	C₃₁×#3335	C₂	1	2	yes	maximal, complemented
7	C₃₁×#3316	C₂	1	2	yes	maximal, complemented
8	C₃₁×#3306	C₂	1	2	yes	maximal, complemented
9	C₃₁×#3301	C₂	1	2	yes	maximal, complemented
10	C₃₁×#3296	C₂	1	2	yes	maximal, complemented
11	C₃₁×#3244	C₂	1	2	yes	maximal, complemented
12	C₃₁×#3204	C₂	1	2	yes	maximal, complemented
13	C₃₁×#3190	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3188	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3125	C₂	1	2	yes	maximal, complemented
16	C₃₁×#3099	C₂	1	2	yes	maximal, complemented
17	C₂×C₃₁×#481	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₃₁×#483	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#2977	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#562	—	2	2	no	—
21	C₃₁×#554	—	2	1	no	—
22	C₃₁×#554	C₂²	1	2	yes	—
23	C₃₁×#554	C₂²	1	2	yes	complemented
24	C₃₁×#553	—	2	1	no	—
25	C₃₁×#553	C₂²	1	2	yes	complemented
26	C₃₁×#552	—	2	1	no	—
27	C₃₁×#552	C₂²	1	2	yes	—
28	C₃₁×#548	C₂²	1	2	yes	—
29	C₃₁×#547	—	2	1	no	—
30	C₃₁×#547	C₂²	1	2	yes	—
31	C₃₁×#547	C₂²	1	2	yes	—
32	C₃₁×#546	—	2	2	no	—
33	C₃₁×#546	C₂²	1	2	yes	—
34	C₃₁×#544	C₂²	1	1	yes	characteristic, complemented
35	C₃₁×#543	—	2	1	no	—
36	C₃₁×#542	C₂²	1	2	yes	—
37	C₃₁×#539	—	2	2	no	—
38	C₃₁×#539	—	2	1	no	—
39	C₃₁×#538	—	2	1	no	—
40	C₃₁×#537	—	2	1	no	—
41	C₃₁×#537	C₂²	1	2	yes	—
42	C₃₁×#537	C₂²	1	1	yes	characteristic, complemented
43	C₃₁×#525	—	2	2	no	—
44	C₃₁×#525	C₂²	1	1	yes	characteristic
45	C₃₁×#525	C₂²	1	1	yes	characteristic
46	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
47	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic
48	C₃₁×#520	C₂²	1	1	yes	characteristic, complemented
49	C₃₁×#520	C₂²	1	1	yes	characteristic, complemented
50	C₂²×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
51	C₃₁×#501	C₂²	1	2	yes	complemented
52	C₃₁×#498	C₂²	1	2	yes	complemented
53	C₃₁×#489	C₂²	1	2	yes	complemented
54	C₃₁×#488	C₂²	1	2	yes	complemented
55	C₃₁×#485	C₂²	1	2	yes	complemented
56	C₃₁×#485	C₂²	1	2	yes	complemented
57	C₃₁×#484	C₂²	1	1	yes	characteristic
58	C₃₁×#483	C₂²	1	2	yes	—
59	C₃₁×#483	C₂²	1	2	yes	—
60	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
61	C₃₁×#483	C₂²	1	2	yes	complemented
62	C₃₁×#483	C₂²	1	2	yes	complemented
63	C₃₁×#483	C₂²	1	2	yes	complemented
64	C₃₁×#483	C₂²	1	2	yes	complemented
65	C₃₁×#482	C₂²	1	2	yes	—
66	C₃₁×#482	C₂²	1	2	yes	complemented
67	C₃₁×#481	C₂²	1	1	yes	characteristic
68	C₃₁×#481	C₂²	1	2	yes	—
69	C₃₁×#481	C₂²	1	2	yes	—
70	C₃₁×#481	C₂²	1	2	yes	—
71	C₃₁×#481	C₂²	1	2	yes	—
72	C₃₁×#481	C₂²	1	2	yes	complemented
73	C₃₁×#481	C₂²	1	2	yes	complemented
74	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
75	C₃₁×#479	C₂²	1	2	yes	complemented
76	C₃₁×#478	C₂²	1	2	yes	complemented
77	C₃₁×#476	C₂²	1	2	yes	complemented
78	C₃₁×#476	C₂²	1	2	yes	complemented
79	C₃₁×#475	C₂²	1	2	yes	complemented
80	C₃₁×#475	C₂²	1	2	yes	complemented
81	C₃₁×#470	C₂²	1	2	yes	complemented
82	C₃₁×#469	C₂²	1	2	yes	complemented
83	C₃₁×#467	C₂²	1	2	yes	—
84	C₃₁×#466	C₂²	1	2	yes	—
85	C₃₁×#465	C₂²	1	2	yes	—
86	C₃₁×#465	C₂²	1	2	yes	—
87	C₃₁×#465	C₂²	1	2	yes	complemented
88	C₃₁×#465	C₂²	1	2	yes	complemented
89	C₃₁×#464	C₂²	1	2	yes	complemented
90	C₃₁×#463	C₂²	1	2	yes	complemented
91	C₃₁×#452	C₂²	1	2	yes	complemented
92	C₃₁×#452	C₂²	1	2	yes	complemented
93	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
94	C₃₁×#450	C₂²	1	1	yes	characteristic
95	C₃₁×#449	C₂²	1	2	yes	—
96	C₃₁×#449	C₂²	1	2	yes	complemented
97	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
98	C₃₁×#447	C₂²	1	1	yes	characteristic
99	C₃₁×#442	C₂²	1	2	yes	complemented
100	C₃₁×#441	C₂²	1	2	yes	complemented
101	C₄×SD₁₆×C₃₁	C₂²	1	2	yes	complemented
102	C₄×SD₁₆×C₃₁	C₂²	1	2	yes	complemented
103	C₃₁×#435	C₂²	1	2	yes	—
104	C₃₁×#435	C₂²	1	2	yes	complemented
105	C₈×D₄×C₃₁	C₂²	1	2	yes	—
106	C₈×D₄×C₃₁	C₂²	1	2	yes	complemented
107	C₃₁×#433	C₂²	1	2	yes	complemented
108	C₃₁×#428	C₂²	1	2	yes	complemented
109	C₂×C₃₁×#106	C₂²	1	2	yes	—
110	C₂×C₃₁×#106	C₂²	1	2	yes	complemented
111	C₂×C₃₁×#106	C₂²	1	2	yes	complemented
112	C₃₁×#417	C₂²	1	2	yes	complemented
113	C₃₁×#416	C₂²	1	2	yes	complemented
114	C₂×C₃₁×#103	C₂²	1	2	yes	complemented
115	C₂×C₃₁×#102	C₂²	1	2	yes	—
116	C₃₁×#408	C₂²	1	2	yes	complemented
117	C₂×C₃₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
118	C₂×C₃₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
119	C₂×#41×C₃₁	—	2	2	no	—
120	C₂×#41×C₃₁	—	2	2	no	—
121	C₂×#41×C₃₁	C₂³	1	2	yes	—
122	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
123	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
124	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
125	C₂²×D₄×C₃₁	—	2	1	no	—
126	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₃₁	—	2	1	no	—
128	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
129	C₂×Q₁₆×C₃₁	C₂³	1	2	yes	—
130	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
131	C₂×SD₁₆×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	2	yes	—
135	C₂²×C₈×C₃₁	C₂³	1	2	yes	—
136	C₂²×C₈×C₃₁	C₂³	1	2	yes	—
137	C₃₁×C₄⋊Q₈	—	2	1	no	—
138	C₃₁×C₄⋊Q₈	C₂³	1	2	yes	—
139	C₃₁×C₄⋊Q₈	C₂³	1	2	yes	—
140	C₃₁×#126	—	2	2	no	—
141	C₃₁×#126	—	2	2	no	—
142	C₃₁×#126	—	2	2	no	—
143	C₃₁×#125	—	2	2	no	—
144	C₃₁×#125	—	2	2	no	—
145	C₃₁×#125	—	2	2	no	—
146	C₃₁×#125	—	2	1	no	—
147	C₃₁×#125	C₂³	1	2	yes	—
148	C₃₁×#124	—	2	2	no	—
149	C₃₁×#124	—	2	2	no	—
150	C₃₁×#124	C₂³	1	2	yes	—
151	C₃₁×#123	—	2	2	no	—
152	C₃₁×#123	—	2	1	no	—
153	C₃₁×#123	—	2	2	no	—
154	C₃₁×#123	—	2	2	no	—
155	C₃₁×#123	—	2	2	no	—
156	C₃₁×#123	—	2	2	no	—
157	C₃₁×#123	—	2	2	no	—
158	C₃₁×#123	—	2	2	no	—
159	C₃₁×#123	—	2	2	no	—
160	C₃₁×#123	D₄	1	2	yes	—
161	C₃₁×C₂²⋊Q₈	—	2	2	no	—
162	C₃₁×C₂²⋊Q₈	—	2	1	no	—
163	C₃₁×C₂²⋊Q₈	—	2	1	no	—
164	C₃₁×C₂²⋊Q₈	—	2	1	no	—
165	C₃₁×C₂²⋊Q₈	—	2	2	no	—
166	C₃₁×C₂²⋊Q₈	—	2	2	no	—
167	C₃₁×C₂²⋊Q₈	—	2	2	no	—
168	C₃₁×C₂²⋊Q₈	—	2	2	no	—
169	C₃₁×C₂²⋊Q₈	—	2	2	no	—
170	C₃₁×C₂²⋊Q₈	—	2	2	no	—
171	C₃₁×C₂²⋊Q₈	—	2	2	no	—
172	C₃₁×C₂²⋊Q₈	—	2	2	no	—
173	C₃₁×C₂²⋊Q₈	—	2	2	no	—
174	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
175	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
176	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
177	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
178	C₃₁×C₂²⋊Q₈	C₂³	1	2	yes	—
179	C₃₁×C₂²⋊Q₈	C₂³	1	2	yes	—
180	C₃₁×C₂²⋊Q₈	C₂³	1	2	yes	—
181	C₃₁×C₂²⋊Q₈	C₂³	1	2	yes	—
182	C₃₁×#121	—	2	2	no	—
183	C₃₁×#121	—	2	2	no	—
184	C₃₁×#121	—	2	2	no	—
185	C₃₁×#121	—	2	2	no	—
186	C₃₁×#121	—	2	2	no	—
187	C₃₁×#121	—	2	2	no	—
188	C₃₁×#121	—	2	1	no	—
189	C₃₁×#121	—	2	1	no	—
190	C₃₁×#121	—	2	1	no	—
191	C₃₁×#121	—	2	2	no	—
192	C₃₁×#121	D₄	1	1	yes	characteristic
193	C₃₁×#121	D₄	1	1	yes	characteristic
194	C₃₁×#121	C₂³	1	1	yes	characteristic
195	C₃₁×#121	C₂³	1	1	yes	characteristic
196	C₃₁×#121	C₂³	1	2	yes	—
197	C₃₁×#121	C₂³	1	2	yes	—
198	C₃₁×#121	C₂³	1	2	yes	—
199	C₃₁×#121	C₂³	1	2	yes	—
200	C₃₁×#120	—	2	1	no	—
201	C₃₁×#120	—	2	2	no	—
202	C₃₁×#120	D₄	1	2	yes	—
203	C₄×Q₈×C₃₁	—	2	1	no	—
204	C₄×Q₈×C₃₁	C₂³	1	2	yes	—
205	C₄×Q₈×C₃₁	C₂³	1	2	yes	—
206	C₄×D₄×C₃₁	—	2	2	no	—
207	C₄×D₄×C₃₁	—	2	1	no	—
208	C₄×D₄×C₃₁	—	2	2	no	—
209	C₄×D₄×C₃₁	—	2	2	no	—
210	C₄×D₄×C₃₁	—	2	1	no	—
211	C₄×D₄×C₃₁	—	2	1	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	C₂³	1	2	yes	—
216	C₄×D₄×C₃₁	C₂³	1	2	yes	—
217	C₄×D₄×C₃₁	C₂³	1	2	yes	—
218	C₄×D₄×C₃₁	C₂³	1	2	yes	—
219	C₃₁×#117	—	2	1	no	—
220	C₃₁×#117	—	2	2	no	—
221	C₃₁×#117	C₂³	1	2	yes	—
222	C₃₁×#117	C₂³	1	1	yes	characteristic
223	C₃₁×#117	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
225	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
226	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
227	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
228	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
229	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
230	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
231	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
232	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
235	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
238	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
239	C₂×C₂²⋊C₄×C₃₁	—	2	2	no	—
240	C₃₁×#107	C₂³	1	2	yes	—
241	C₃₁×#107	C₂³	1	2	yes	—
242	C₃₁×#106	C₂³	1	2	yes	—
243	C₃₁×#106	C₂³	1	2	yes	—
244	C₃₁×#106	C₂³	1	2	yes	—
245	C₃₁×#106	C₂³	1	2	yes	—
246	C₃₁×#106	C₂³	1	2	yes	—
247	C₃₁×#106	C₂³	1	2	yes	—
248	C₃₁×#106	C₂³	1	2	yes	—
249	C₃₁×#106	C₂³	1	2	yes	—
250	C₃₁×#106	C₂³	1	2	yes	—
251	C₃₁×#106	C₂³	1	2	yes	—
252	C₃₁×C₄⋊C₈	C₂³	1	2	yes	—
253	C₃₁×C₄⋊C₈	C₂³	1	2	yes	—
254	C₃₁×#103	C₂³	1	2	yes	—
255	C₃₁×#103	C₂³	1	2	yes	—
256	C₃₁×#103	C₂³	1	2	yes	—
257	C₃₁×#103	C₂³	1	2	yes	—
258	C₃₁×#103	C₂³	1	2	yes	—
259	C₃₁×#103	C₂³	1	2	yes	—
260	C₃₁×#103	C₂³	1	2	yes	—
261	C₃₁×#103	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×#102	C₂³	1	2	yes	—
267	C₃₁×#102	C₂³	1	2	yes	—
268	C₃₁×#102	C₂³	1	2	yes	—
269	C₃₁×#102	C₂³	1	2	yes	—
270	C₃₁×C₂²⋊C₈	C₂³	1	2	yes	—
271	C₃₁×C₂²⋊C₈	C₂³	1	2	yes	—
272	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
273	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
274	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
275	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
276	C₃₁×C₂²⋊C₈	C₂³	1	2	yes	—
277	C₃₁×C₂²⋊C₈	C₂³	1	2	yes	—
278	C₃₁×#97	C₂³	1	2	yes	—
279	C₄×C₈×C₃₁	C₂³	1	2	yes	—
280	C₂⁴×C₃₁	—	2	1	no	—
281	C₂⁴×C₃₁	C₂×D₄	1	1	yes	characteristic
282	#41×C₃₁	—	4	2	no	—
283	#41×C₃₁	—	4	2	no	—
284	#41×C₃₁	—	4	2	no	—
285	#41×C₃₁	—	4	2	no	—
286	#41×C₃₁	—	8	4	no	—
287	#41×C₃₁	—	8	4	no	—
288	C₂×Q₈×C₃₁	—	2	1	no	—
289	C₂×Q₈×C₃₁	—	2	2	no	—
290	C₂×Q₈×C₃₁	—	2	2	no	—
291	C₂×Q₈×C₃₁	—	4	2	no	—
292	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
293	C₂×Q₈×C₃₁	C₂⁴	1	2	yes	—
294	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
295	C₂×D₄×C₃₁	—	2	1	no	—
296	C₂×D₄×C₃₁	—	2	1	no	—
297	C₂×D₄×C₃₁	—	2	1	no	—
298	C₂×D₄×C₃₁	—	2	2	no	—
299	C₂×D₄×C₃₁	—	2	2	no	—
300	C₂×D₄×C₃₁	—	2	2	no	—
301	C₂×D₄×C₃₁	—	2	2	no	—
302	C₂×D₄×C₃₁	—	2	2	no	—
303	C₂×D₄×C₃₁	—	2	1	no	—
304	C₂×D₄×C₃₁	—	4	2	no	—
305	C₂×D₄×C₃₁	—	8	2	no	—
306	C₂×D₄×C₃₁	C₂×D₄	1	2	yes	—
307	C₂×D₄×C₃₁	C₂×D₄	1	2	yes	—
308	C₂×D₄×C₃₁	C₂×D₄	1	2	yes	—
309	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
310	C₂×D₄×C₃₁	C₂⁴	1	2	yes	—
311	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
312	C₂²×C₄×C₃₁	—	2	1	no	—
313	C₂²×C₄×C₃₁	—	2	2	no	—
314	C₂²×C₄×C₃₁	—	2	1	no	—
315	C₂²×C₄×C₃₁	—	2	1	no	—
316	C₂²×C₄×C₃₁	—	2	1	no	—
317	C₂²×C₄×C₃₁	—	2	2	no	—
318	C₂²×C₄×C₃₁	—	2	1	no	—
319	C₂²×C₄×C₃₁	—	2	2	no	—
320	C₂²×C₄×C₃₁	—	2	2	no	—
321	C₂²×C₄×C₃₁	—	2	1	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	—	4	2	no	—
326	C₂²×C₄×C₃₁	—	8	2	no	—
327	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
328	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
329	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
330	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₃₁	C₂⁴	1	2	yes	—
334	Q₁₆×C₃₁	—	4	2	no	—
335	SD₁₆×C₃₁	—	4	2	no	—
336	SD₁₆×C₃₁	—	4	2	no	—
337	D₈×C₃₁	—	4	2	no	—
338	M₁₆×C₃₁	—	4	2	no	—
339	C₂×C₈×C₃₁	—	4	2	no	—
340	C₂×C₈×C₃₁	—	4	2	no	—
341	C₂×C₈×C₃₁	—	4	2	no	—
342	C₂×C₈×C₃₁	C₂⁴	1	2	yes	—
343	C₂×C₈×C₃₁	C₂⁴	1	2	yes	—
344	C₂×C₈×C₃₁	C₂⁴	1	2	yes	—
345	C₂×C₈×C₃₁	C₂⁴	1	2	yes	—
346	C₄⋊C₄×C₃₁	—	2	1	no	—
347	C₄⋊C₄×C₃₁	—	2	1	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	2	no	—
352	C₄⋊C₄×C₃₁	—	2	2	no	—
353	C₄⋊C₄×C₃₁	—	2	2	no	—
354	C₄⋊C₄×C₃₁	—	2	1	no	—
355	C₄⋊C₄×C₃₁	—	2	2	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	—	2	2	no	—
360	C₄⋊C₄×C₃₁	—	2	1	no	—
361	C₄⋊C₄×C₃₁	—	2	2	no	—
362	C₄⋊C₄×C₃₁	—	2	2	no	—
363	C₄⋊C₄×C₃₁	—	2	1	no	—
364	C₄⋊C₄×C₃₁	—	2	2	no	—
365	C₄⋊C₄×C₃₁	—	2	2	no	—
366	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
367	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
368	C₄⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
369	C₄⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
370	C₄⋊C₄×C₃₁	C₂⁴	1	2	yes	—
371	C₄⋊C₄×C₃₁	C₂⁴	1	2	yes	—
372	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
373	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
374	C₄⋊C₄×C₃₁	C₂⁴	1	2	yes	—
375	C₄⋊C₄×C₃₁	C₂⁴	1	2	yes	—
376	C₂²⋊C₄×C₃₁	—	2	2	no	—
377	C₂²⋊C₄×C₃₁	—	2	2	no	—
378	C₂²⋊C₄×C₃₁	—	2	1	no	—
379	C₂²⋊C₄×C₃₁	—	2	1	no	—
380	C₂²⋊C₄×C₃₁	—	2	2	no	—
381	C₂²⋊C₄×C₃₁	—	2	1	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	—	2	2	no	—
388	C₂²⋊C₄×C₃₁	—	2	2	no	—
389	C₂²⋊C₄×C₃₁	—	2	2	no	—
390	C₂²⋊C₄×C₃₁	—	2	2	no	—
391	C₂²⋊C₄×C₃₁	—	2	1	no	—
392	C₂²⋊C₄×C₃₁	—	2	1	no	—
393	C₂²⋊C₄×C₃₁	—	2	2	no	—
394	C₂²⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
395	C₂²⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
396	C₂²⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
397	C₂²⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
398	C₂²⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
399	C₄²×C₃₁	—	2	2	no	—
400	C₄²×C₃₁	—	2	2	no	—
401	C₄²×C₃₁	—	2	1	no	—
402	C₄²×C₃₁	—	2	2	no	—
403	C₄²×C₃₁	C₂⁴	1	2	yes	—
404	#61765	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
405	C₂³×C₃₁	—	2	2	no	—
406	C₂³×C₃₁	—	2	2	no	—
407	C₂³×C₃₁	—	2	1	no	—
408	C₂³×C₃₁	—	2	2	no	—
409	C₂³×C₃₁	—	4	1	no	—
410	C₂³×C₃₁	—	4	2	no	—
411	C₂³×C₃₁	—	8	1	no	—
412	C₂³×C₃₁	—	8	1	no	—
413	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
414	C₂³×C₃₁	C₂²×D₄	1	2	yes	—
415	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
416	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
417	Q₈×C₃₁	—	2	2	no	—
418	Q₈×C₃₁	—	2	2	no	—
419	Q₈×C₃₁	—	2	2	no	—
420	Q₈×C₃₁	—	4	1	no	—
421	Q₈×C₃₁	—	8	1	no	—
422	Q₈×C₃₁	—	8	2	no	—
423	Q₈×C₃₁	—	8	2	no	—
424	D₄×C₃₁	—	2	4	no	—
425	D₄×C₃₁	—	2	4	no	—
426	D₄×C₃₁	—	2	2	no	—
427	D₄×C₃₁	—	2	2	no	—
428	D₄×C₃₁	—	2	2	no	—
429	D₄×C₃₁	—	4	1	no	—
430	D₄×C₃₁	—	4	2	no	—
431	D₄×C₃₁	—	4	2	no	—
432	D₄×C₃₁	—	4	2	no	—
433	D₄×C₃₁	—	4	4	no	—
434	D₄×C₃₁	—	4	2	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	2	no	—
442	C₂×C₄×C₃₁	—	2	2	no	—
443	C₂×C₄×C₃₁	—	2	2	no	—
444	C₂×C₄×C₃₁	—	2	2	no	—
445	C₂×C₄×C₃₁	—	2	1	no	—
446	C₂×C₄×C₃₁	—	2	1	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	—	2	1	no	—
451	C₂×C₄×C₃₁	—	2	2	no	—
452	C₂×C₄×C₃₁	—	2	2	no	—
453	C₂×C₄×C₃₁	—	4	1	no	—
454	C₂×C₄×C₃₁	—	4	1	no	—
455	C₂×C₄×C₃₁	—	4	1	no	—
456	C₂×C₄×C₃₁	—	4	2	no	—
457	C₂×C₄×C₃₁	—	4	4	no	—
458	C₂×C₄×C₃₁	—	4	2	no	—
459	C₂×C₄×C₃₁	—	8	2	no	—
460	C₂×C₄×C₃₁	—	8	2	no	—
461	C₂×C₄×C₃₁	—	8	2	no	—
462	C₂×C₄×C₃₁	—	8	1	no	—
463	C₂×C₄×C₃₁	—	8	2	no	—
464	C₂×C₄×C₃₁	—	8	1	no	—
465	C₂×C₄×C₃₁	—	8	1	no	—
466	C₂×C₄×C₃₁	—	8	1	no	—
467	C₂×C₄×C₃₁	—	8	2	no	—
468	C₂×C₄×C₃₁	—	8	2	no	—
469	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
470	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
471	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
472	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
473	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
474	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
475	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
476	C₈×C₃₁	—	2	2	no	—
477	C₈×C₃₁	—	2	2	no	—
478	C₈×C₃₁	—	2	2	no	—
479	C₈×C₃₁	—	2	2	no	—
480	#3536	C₂×C₃₁	1	1	yes	characteristic, complemented
481	#3492	C₂×C₃₁	1	1	yes	characteristic, complemented
482	#3345	C₂×C₃₁	1	2	yes	complemented
483	#3344	C₂×C₃₁	1	2	yes	complemented
484	#3335	C₂×C₃₁	1	2	yes	complemented
485	#3335	C₂×C₃₁	1	2	yes	complemented
486	#3316	C₂×C₃₁	1	2	yes	complemented
487	#3306	C₂×C₃₁	1	2	yes	complemented
488	#3301	C₂×C₃₁	1	2	yes	complemented
489	#3296	C₂×C₃₁	1	2	yes	complemented
490	#3244	C₂×C₃₁	1	2	yes	complemented
491	#3204	C₂×C₃₁	1	2	yes	complemented
492	#3190	C₂×C₃₁	1	1	yes	characteristic, complemented
493	#3188	C₂×C₃₁	1	1	yes	characteristic, complemented
494	#3125	C₂×C₃₁	1	2	yes	complemented
495	#3099	C₂×C₃₁	1	2	yes	complemented
496	C₂×#481	C₂×C₃₁	1	1	yes	characteristic, complemented
497	C₂×#483	C₂×C₃₁	1	1	yes	characteristic, complemented
498	#2977	C₂×C₃₁	1	1	yes	characteristic, complemented
499	C₂²×C₃₁	—	2	1	no	—
500	C₂²×C₃₁	—	2	1	no	—
501	C₂²×C₃₁	—	2	1	no	—
502	C₂²×C₃₁	—	2	1	no	—
503	C₂²×C₃₁	—	2	1	no	—
504	C₂²×C₃₁	—	2	2	no	—
505	C₂²×C₃₁	—	2	1	no	—
506	C₂²×C₃₁	—	2	2	no	—
507	C₂²×C₃₁	—	2	2	no	—
508	C₂²×C₃₁	—	2	1	no	—
509	C₂²×C₃₁	—	4	4	no	—
510	C₂²×C₃₁	—	4	1	no	—
511	C₂²×C₃₁	—	4	2	no	—
512	C₂²×C₃₁	—	4	1	no	—
513	C₂²×C₃₁	—	4	2	no	—
514	C₂²×C₃₁	—	4	1	no	—
515	C₂²×C₃₁	—	4	2	no	—
516	C₂²×C₃₁	—	16	2	no	—
517	C₂²×C₃₁	#577	1	2	yes	—
518	C₂²×C₃₁	#577	1	2	yes	—
519	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
520	C₄×C₃₁	—	2	1	no	—
521	C₄×C₃₁	—	2	1	no	—
522	C₄×C₃₁	—	2	1	no	—
523	C₄×C₃₁	—	2	2	no	—
524	C₄×C₃₁	—	2	2	no	—
525	C₄×C₃₁	—	2	2	no	—
526	C₄×C₃₁	—	4	1	no	—
527	C₄×C₃₁	—	4	2	no	—
528	C₄×C₃₁	—	4	2	no	—
529	C₄×C₃₁	—	4	2	no	—
530	C₄×C₃₁	—	4	2	no	—
531	C₄×C₃₁	—	4	2	no	—
532	C₄×C₃₁	—	4	1	no	—
533	C₄×C₃₁	—	4	1	no	—
534	C₄×C₃₁	#585	1	2	yes	—
535	#562	—	2	2	no	—
536	#554	—	2	1	no	—
537	#554	C₂²×C₃₁	1	2	yes	—
538	#554	C₂²×C₃₁	1	2	yes	complemented
539	#553	—	2	1	no	—
540	#553	C₂²×C₃₁	1	2	yes	complemented
541	#552	—	2	1	no	—
542	#552	C₂²×C₃₁	1	2	yes	—
543	#548	C₂²×C₃₁	1	2	yes	—
544	#547	—	2	1	no	—
545	#547	C₂²×C₃₁	1	2	yes	—
546	#547	C₂²×C₃₁	1	2	yes	—
547	#546	—	2	2	no	—
548	#546	C₂²×C₃₁	1	2	yes	—
549	#544	C₂²×C₃₁	1	1	yes	characteristic, complemented
550	#543	—	2	1	no	—
551	#542	C₂²×C₃₁	1	2	yes	—
552	#539	—	2	2	no	—
553	#539	—	2	1	no	—
554	#538	—	2	1	no	—
555	#537	—	2	1	no	—
556	#537	C₂²×C₃₁	1	2	yes	—
557	#537	C₂²×C₃₁	1	1	yes	characteristic, complemented
558	#525	—	2	2	no	—
559	#525	C₂²×C₃₁	1	1	yes	characteristic
560	#525	C₂²×C₃₁	1	1	yes	characteristic
561	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
562	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic
563	#520	C₂²×C₃₁	1	1	yes	characteristic, complemented
564	#520	C₂²×C₃₁	1	1	yes	characteristic, complemented
565	C₂²×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
566	#501	C₂²×C₃₁	1	2	yes	complemented
567	#498	C₂²×C₃₁	1	2	yes	complemented
568	#489	C₂²×C₃₁	1	2	yes	complemented
569	#488	C₂²×C₃₁	1	2	yes	complemented
570	#485	C₂²×C₃₁	1	2	yes	complemented
571	#485	C₂²×C₃₁	1	2	yes	complemented
572	#484	C₂²×C₃₁	1	1	yes	characteristic
573	#483	C₂²×C₃₁	1	2	yes	—
574	#483	C₂²×C₃₁	1	2	yes	—
575	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
576	#483	C₂²×C₃₁	1	2	yes	complemented
577	#483	C₂²×C₃₁	1	2	yes	complemented
578	#483	C₂²×C₃₁	1	2	yes	complemented
579	#483	C₂²×C₃₁	1	2	yes	complemented
580	#482	C₂²×C₃₁	1	2	yes	—
581	#482	C₂²×C₃₁	1	2	yes	complemented
582	#481	C₂²×C₃₁	1	1	yes	characteristic
583	#481	C₂²×C₃₁	1	2	yes	—
584	#481	C₂²×C₃₁	1	2	yes	—
585	#481	C₂²×C₃₁	1	2	yes	—
586	#481	C₂²×C₃₁	1	2	yes	—
587	#481	C₂²×C₃₁	1	2	yes	complemented
588	#481	C₂²×C₃₁	1	2	yes	complemented
589	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
590	#479	C₂²×C₃₁	1	2	yes	complemented
591	#478	C₂²×C₃₁	1	2	yes	complemented
592	#476	C₂²×C₃₁	1	2	yes	complemented
593	#476	C₂²×C₃₁	1	2	yes	complemented
594	#475	C₂²×C₃₁	1	2	yes	complemented
595	#475	C₂²×C₃₁	1	2	yes	complemented
596	#470	C₂²×C₃₁	1	2	yes	complemented
597	#469	C₂²×C₃₁	1	2	yes	complemented
598	#467	C₂²×C₃₁	1	2	yes	—
599	#466	C₂²×C₃₁	1	2	yes	—
600	#465	C₂²×C₃₁	1	2	yes	—
601	#465	C₂²×C₃₁	1	2	yes	—
602	#465	C₂²×C₃₁	1	2	yes	complemented
603	#465	C₂²×C₃₁	1	2	yes	complemented
604	#464	C₂²×C₃₁	1	2	yes	complemented
605	#463	C₂²×C₃₁	1	2	yes	complemented
606	#452	C₂²×C₃₁	1	2	yes	complemented
607	#452	C₂²×C₃₁	1	2	yes	complemented
608	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
609	#450	C₂²×C₃₁	1	1	yes	characteristic
610	#449	C₂²×C₃₁	1	2	yes	—
611	#449	C₂²×C₃₁	1	2	yes	complemented
612	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
613	#447	C₂²×C₃₁	1	1	yes	characteristic
614	#442	C₂²×C₃₁	1	2	yes	complemented
615	#441	C₂²×C₃₁	1	2	yes	complemented
616	C₄×SD₁₆	C₂²×C₃₁	1	2	yes	complemented
617	C₄×SD₁₆	C₂²×C₃₁	1	2	yes	complemented
618	#435	C₂²×C₃₁	1	2	yes	—
619	#435	C₂²×C₃₁	1	2	yes	complemented
620	C₈×D₄	C₂²×C₃₁	1	2	yes	—
621	C₈×D₄	C₂²×C₃₁	1	2	yes	complemented
622	#433	C₂²×C₃₁	1	2	yes	complemented
623	#428	C₂²×C₃₁	1	2	yes	complemented
624	C₂×#106	C₂²×C₃₁	1	2	yes	—
625	C₂×#106	C₂²×C₃₁	1	2	yes	complemented
626	C₂×#106	C₂²×C₃₁	1	2	yes	complemented
627	#417	C₂²×C₃₁	1	2	yes	complemented
628	#416	C₂²×C₃₁	1	2	yes	complemented
629	C₂×#103	C₂²×C₃₁	1	2	yes	complemented
630	C₂×#102	C₂²×C₃₁	1	2	yes	—
631	#408	C₂²×C₃₁	1	2	yes	complemented
632	C₂×C₂²⋊C₈	C₂²×C₃₁	1	1	yes	characteristic
633	C₂×C₂²⋊C₈	C₂²×C₃₁	1	1	yes	characteristic
634	C₂×C₃₁	—	2	2	no	—
635	C₂×C₃₁	—	2	2	no	—
636	C₂×C₃₁	—	4	2	no	—
637	C₂×C₃₁	—	4	1	no	—
638	C₂×C₃₁	—	8	1	no	—
639	C₂×C₃₁	—	8	2	no	—
640	C₂×C₃₁	#3485	1	1	yes	characteristic
641	C₂×C₃₁	C₂×#577	1	1	yes	characteristic
642	C₂×C₃₁	C₂×#577	1	1	yes	characteristic
643	C₂×#41	—	2	2	no	—
644	C₂×#41	—	2	2	no	—
645	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
646	C₂×#41	C₂³×C₃₁	1	2	yes	—
647	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
648	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
649	C₂²×D₄	—	2	1	no	—
650	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
651	C₂³×C₄	—	2	1	no	—
652	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
653	C₂×Q₁₆	C₂³×C₃₁	1	2	yes	—
654	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	—
655	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	—
656	C₂×D₈	C₂³×C₃₁	1	2	yes	—
657	C₂×M₁₆	C₂³×C₃₁	1	2	yes	—
658	C₂²×C₈	C₂³×C₃₁	1	2	yes	—
659	C₂²×C₈	C₂³×C₃₁	1	2	yes	—
660	C₂²×C₈	C₂³×C₃₁	1	2	yes	—
661	C₄⋊Q₈	—	2	1	no	—
662	C₄⋊Q₈	C₂³×C₃₁	1	2	yes	—
663	C₄⋊Q₈	C₂³×C₃₁	1	2	yes	—
664	#126	—	2	2	no	—
665	#126	—	2	2	no	—
666	#126	—	2	2	no	—
667	#125	—	2	2	no	—
668	#125	—	2	2	no	—
669	#125	—	2	2	no	—
670	#125	—	2	1	no	—
671	#125	C₂³×C₃₁	1	2	yes	—
672	#124	—	2	2	no	—
673	#124	—	2	2	no	—
674	#124	C₂³×C₃₁	1	2	yes	—
675	#123	—	2	2	no	—
676	#123	—	2	1	no	—
677	#123	—	2	2	no	—
678	#123	—	2	2	no	—
679	#123	—	2	2	no	—
680	#123	—	2	2	no	—
681	#123	—	2	2	no	—
682	#123	—	2	2	no	—
683	#123	—	2	2	no	—
684	#123	D₄×C₃₁	1	2	yes	—
685	C₂²⋊Q₈	—	2	2	no	—
686	C₂²⋊Q₈	—	2	1	no	—
687	C₂²⋊Q₈	—	2	1	no	—
688	C₂²⋊Q₈	—	2	1	no	—
689	C₂²⋊Q₈	—	2	2	no	—
690	C₂²⋊Q₈	—	2	2	no	—
691	C₂²⋊Q₈	—	2	2	no	—
692	C₂²⋊Q₈	—	2	2	no	—
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	D₄×C₃₁	1	1	yes	characteristic
699	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
700	C₂²⋊Q₈	C₂³×C₃₁	1	2	yes	—
701	C₂²⋊Q₈	C₂³×C₃₁	1	2	yes	—
702	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
703	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
704	C₂²⋊Q₈	C₂³×C₃₁	1	2	yes	—
705	C₂²⋊Q₈	C₂³×C₃₁	1	2	yes	—
706	#121	—	2	2	no	—
707	#121	—	2	2	no	—
708	#121	—	2	2	no	—
709	#121	—	2	2	no	—
710	#121	—	2	2	no	—
711	#121	—	2	2	no	—
712	#121	—	2	1	no	—
713	#121	—	2	1	no	—
714	#121	—	2	1	no	—
715	#121	—	2	2	no	—
716	#121	D₄×C₃₁	1	1	yes	characteristic
717	#121	D₄×C₃₁	1	1	yes	characteristic
718	#121	C₂³×C₃₁	1	2	yes	—
719	#121	C₂³×C₃₁	1	2	yes	—
720	#121	C₂³×C₃₁	1	1	yes	characteristic
721	#121	C₂³×C₃₁	1	1	yes	characteristic
722	#121	C₂³×C₃₁	1	2	yes	—
723	#121	C₂³×C₃₁	1	2	yes	—
724	#120	—	2	1	no	—
725	#120	—	2	2	no	—
726	#120	D₄×C₃₁	1	2	yes	—
727	C₄×Q₈	—	2	1	no	—
728	C₄×Q₈	C₂³×C₃₁	1	2	yes	—
729	C₄×Q₈	C₂³×C₃₁	1	2	yes	—
730	C₄×D₄	—	2	2	no	—
731	C₄×D₄	—	2	1	no	—
732	C₄×D₄	—	2	2	no	—
733	C₄×D₄	—	2	2	no	—
734	C₄×D₄	—	2	1	no	—
735	C₄×D₄	—	2	1	no	—
736	C₄×D₄	—	2	2	no	—
737	C₄×D₄	—	2	2	no	—
738	C₄×D₄	—	2	2	no	—
739	C₄×D₄	C₂³×C₃₁	1	2	yes	—
740	C₄×D₄	C₂³×C₃₁	1	2	yes	—
741	C₄×D₄	C₂³×C₃₁	1	2	yes	—
742	C₄×D₄	C₂³×C₃₁	1	2	yes	—
743	#117	—	2	1	no	—
744	#117	—	2	2	no	—
745	#117	C₂³×C₃₁	1	1	yes	characteristic
746	#117	C₂³×C₃₁	1	2	yes	—
747	#117	C₂³×C₃₁	1	1	yes	characteristic
748	C₂×C₄⋊C₄	—	2	1	no	—
749	C₂×C₄⋊C₄	—	2	1	no	—
750	C₂×C₄⋊C₄	—	2	1	no	—
751	C₂×C₄⋊C₄	—	2	1	no	—
752	C₂×C₄⋊C₄	—	2	1	no	—
753	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
754	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
755	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
756	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
757	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
758	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
760	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
761	C₂×C₂²⋊C₄	—	2	1	no	—
762	C₂×C₂²⋊C₄	—	2	1	no	—
763	C₂×C₂²⋊C₄	—	2	2	no	—
764	#107	C₂³×C₃₁	1	2	yes	—
765	#107	C₂³×C₃₁	1	2	yes	—
766	#106	C₂³×C₃₁	1	2	yes	—
767	#106	C₂³×C₃₁	1	2	yes	—
768	#106	C₂³×C₃₁	1	2	yes	—
769	#106	C₂³×C₃₁	1	2	yes	—
770	#106	C₂³×C₃₁	1	2	yes	—
771	#106	C₂³×C₃₁	1	2	yes	—
772	#106	C₂³×C₃₁	1	2	yes	—
773	#106	C₂³×C₃₁	1	2	yes	—
774	#106	C₂³×C₃₁	1	2	yes	—
775	#106	C₂³×C₃₁	1	2	yes	—
776	C₄⋊C₈	C₂³×C₃₁	1	2	yes	—
777	C₄⋊C₈	C₂³×C₃₁	1	2	yes	—
778	#103	C₂³×C₃₁	1	2	yes	—
779	#103	C₂³×C₃₁	1	2	yes	—
780	#103	C₂³×C₃₁	1	2	yes	—
781	#103	C₂³×C₃₁	1	2	yes	—
782	#103	C₂³×C₃₁	1	2	yes	—
783	#103	C₂³×C₃₁	1	2	yes	—
784	#103	C₂³×C₃₁	1	2	yes	—
785	#103	C₂³×C₃₁	1	2	yes	—
786	#102	C₂³×C₃₁	1	2	yes	—
787	#102	C₂³×C₃₁	1	2	yes	—
788	#102	C₂³×C₃₁	1	2	yes	—
789	#102	C₂³×C₃₁	1	2	yes	—
790	#102	C₂³×C₃₁	1	2	yes	—
791	#102	C₂³×C₃₁	1	2	yes	—
792	#102	C₂³×C₃₁	1	2	yes	—
793	#102	C₂³×C₃₁	1	2	yes	—
794	C₂²⋊C₈	C₂³×C₃₁	1	2	yes	—
795	C₂²⋊C₈	C₂³×C₃₁	1	2	yes	—
796	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
797	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
798	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
799	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
800	C₂²⋊C₈	C₂³×C₃₁	1	2	yes	—
801	C₂²⋊C₈	C₂³×C₃₁	1	2	yes	—
802	#97	C₂³×C₃₁	1	2	yes	—
803	C₄×C₈	C₂³×C₃₁	1	2	yes	—
804	C₃₁	#61765	1	1	yes	characteristic, direct product factor, Sylow
805	C₂⁴	—	2	1	no	—
806	C₂⁴	C₂×D₄×C₃₁	1	1	yes	characteristic
807	#41	—	4	2	no	—
808	#41	—	4	2	no	—
809	#41	—	4	2	no	—
810	#41	—	4	2	no	—
811	#41	—	8	4	no	—
812	#41	—	8	4	no	—
813	C₂×Q₈	—	2	1	no	—
814	C₂×Q₈	—	2	2	no	—
815	C₂×Q₈	—	2	2	no	—
816	C₂×Q₈	—	4	2	no	—
817	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
818	C₂×Q₈	C₂⁴×C₃₁	1	2	yes	—
819	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
820	C₂×D₄	—	2	1	no	—
821	C₂×D₄	—	2	1	no	—
822	C₂×D₄	—	2	1	no	—
823	C₂×D₄	—	2	2	no	—
824	C₂×D₄	—	2	2	no	—
825	C₂×D₄	—	2	2	no	—
826	C₂×D₄	—	2	2	no	—
827	C₂×D₄	—	2	2	no	—
828	C₂×D₄	—	2	1	no	—
829	C₂×D₄	—	4	2	no	—
830	C₂×D₄	—	8	2	no	—
831	C₂×D₄	C₂×D₄×C₃₁	1	2	yes	—
832	C₂×D₄	C₂×D₄×C₃₁	1	2	yes	—
833	C₂×D₄	C₂×D₄×C₃₁	1	2	yes	—
834	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
835	C₂×D₄	C₂⁴×C₃₁	1	2	yes	—
836	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
837	C₂²×C₄	—	2	1	no	—
838	C₂²×C₄	—	2	2	no	—
839	C₂²×C₄	—	2	1	no	—
840	C₂²×C₄	—	2	1	no	—
841	C₂²×C₄	—	2	1	no	—
842	C₂²×C₄	—	2	2	no	—
843	C₂²×C₄	—	2	1	no	—
844	C₂²×C₄	—	2	2	no	—
845	C₂²×C₄	—	2	2	no	—
846	C₂²×C₄	—	2	1	no	—
847	C₂²×C₄	—	2	2	no	—
848	C₂²×C₄	—	2	2	no	—
849	C₂²×C₄	—	2	2	no	—
850	C₂²×C₄	—	4	2	no	—
851	C₂²×C₄	—	8	2	no	—
852	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
853	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
854	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
855	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
856	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
857	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
858	C₂²×C₄	C₂⁴×C₃₁	1	2	yes	—
859	Q₁₆	—	4	2	no	—
860	SD₁₆	—	4	2	no	—
861	SD₁₆	—	4	2	no	—
862	D₈	—	4	2	no	—
863	M₁₆	—	4	2	no	—
864	C₂×C₈	—	4	2	no	—
865	C₂×C₈	—	4	2	no	—
866	C₂×C₈	—	4	2	no	—
867	C₂×C₈	C₂⁴×C₃₁	1	2	yes	—
868	C₂×C₈	C₂⁴×C₃₁	1	2	yes	—
869	C₂×C₈	C₂⁴×C₃₁	1	2	yes	—
870	C₂×C₈	C₂⁴×C₃₁	1	2	yes	—
871	C₄⋊C₄	—	2	1	no	—
872	C₄⋊C₄	—	2	1	no	—
873	C₄⋊C₄	—	2	2	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	2	2	no	—
879	C₄⋊C₄	—	2	1	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	1	no	—
882	C₄⋊C₄	—	2	2	no	—
883	C₄⋊C₄	—	2	2	no	—
884	C₄⋊C₄	—	2	2	no	—
885	C₄⋊C₄	—	2	1	no	—
886	C₄⋊C₄	—	2	2	no	—
887	C₄⋊C₄	—	2	2	no	—
888	C₄⋊C₄	—	2	1	no	—
889	C₄⋊C₄	—	2	2	no	—
890	C₄⋊C₄	—	2	2	no	—
891	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
892	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
893	C₄⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
894	C₄⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
895	C₄⋊C₄	C₂⁴×C₃₁	1	2	yes	—
896	C₄⋊C₄	C₂⁴×C₃₁	1	2	yes	—
897	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
898	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
899	C₄⋊C₄	C₂⁴×C₃₁	1	2	yes	—
900	C₄⋊C₄	C₂⁴×C₃₁	1	2	yes	—
901	C₂²⋊C₄	—	2	2	no	—
902	C₂²⋊C₄	—	2	2	no	—
903	C₂²⋊C₄	—	2	1	no	—
904	C₂²⋊C₄	—	2	1	no	—
905	C₂²⋊C₄	—	2	2	no	—
906	C₂²⋊C₄	—	2	1	no	—
907	C₂²⋊C₄	—	2	2	no	—
908	C₂²⋊C₄	—	2	2	no	—
909	C₂²⋊C₄	—	2	2	no	—
910	C₂²⋊C₄	—	2	2	no	—
911	C₂²⋊C₄	—	2	2	no	—
912	C₂²⋊C₄	—	2	2	no	—
913	C₂²⋊C₄	—	2	2	no	—
914	C₂²⋊C₄	—	2	2	no	—
915	C₂²⋊C₄	—	2	2	no	—
916	C₂²⋊C₄	—	2	1	no	—
917	C₂²⋊C₄	—	2	1	no	—
918	C₂²⋊C₄	—	2	2	no	—
919	C₂²⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
920	C₂²⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
921	C₂²⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
922	C₂²⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
923	C₂²⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
924	C₄²	—	2	2	no	—
925	C₄²	—	2	2	no	—
926	C₄²	—	2	1	no	—
927	C₄²	—	2	2	no	—
928	C₄²	C₂⁴×C₃₁	1	2	yes	—
929	C₂³	—	2	2	no	—
930	C₂³	—	2	2	no	—
931	C₂³	—	2	1	no	—
932	C₂³	—	2	2	no	—
933	C₂³	—	4	1	no	—
934	C₂³	—	4	2	no	—
935	C₂³	—	8	1	no	—
936	C₂³	—	8	1	no	—
937	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
938	C₂³	C₂²×D₄×C₃₁	1	2	yes	—
939	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
940	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
941	Q₈	—	2	2	no	—
942	Q₈	—	2	2	no	—
943	Q₈	—	2	2	no	—
944	Q₈	—	4	1	no	—
945	Q₈	—	8	1	no	—
946	Q₈	—	8	2	no	—
947	Q₈	—	8	2	no	—
948	D₄	—	2	4	no	—
949	D₄	—	2	4	no	—
950	D₄	—	2	2	no	—
951	D₄	—	2	2	no	—
952	D₄	—	2	2	no	—
953	D₄	—	4	1	no	—
954	D₄	—	4	2	no	—
955	D₄	—	4	2	no	—
956	D₄	—	4	2	no	—
957	D₄	—	4	4	no	—
958	D₄	—	4	2	no	—
959	D₄	—	8	1	no	—
960	D₄	—	8	2	no	—
961	D₄	—	8	2	no	—
962	D₄	—	8	2	no	—
963	D₄	—	8	2	no	—
964	C₂×C₄	—	2	2	no	—
965	C₂×C₄	—	2	2	no	—
966	C₂×C₄	—	2	2	no	—
967	C₂×C₄	—	2	2	no	—
968	C₂×C₄	—	2	2	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	2	2	no	—
976	C₂×C₄	—	2	2	no	—
977	C₂×C₄	—	4	1	no	—
978	C₂×C₄	—	4	1	no	—
979	C₂×C₄	—	4	1	no	—
980	C₂×C₄	—	4	2	no	—
981	C₂×C₄	—	4	4	no	—
982	C₂×C₄	—	4	2	no	—
983	C₂×C₄	—	8	2	no	—
984	C₂×C₄	—	8	2	no	—
985	C₂×C₄	—	8	2	no	—
986	C₂×C₄	—	8	1	no	—
987	C₂×C₄	—	8	2	no	—
988	C₂×C₄	—	8	1	no	—
989	C₂×C₄	—	8	1	no	—
990	C₂×C₄	—	8	1	no	—
991	C₂×C₄	—	8	2	no	—
992	C₂×C₄	—	8	2	no	—
993	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
994	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
995	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
996	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
997	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
998	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
999	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1000	C₈	—	2	2	no	—
1001	C₈	—	2	2	no	—
1002	C₈	—	2	2	no	—
1003	C₈	—	2	2	no	—
1004	C₂²	—	2	1	no	—
1005	C₂²	—	2	1	no	—
1006	C₂²	—	2	1	no	—
1007	C₂²	—	2	1	no	—
1008	C₂²	—	2	1	no	—
1009	C₂²	—	2	2	no	—
1010	C₂²	—	2	1	no	—
1011	C₂²	—	2	2	no	—
1012	C₂²	—	2	2	no	—
1013	C₂²	—	2	1	no	—
1014	C₂²	—	4	4	no	—
1015	C₂²	—	4	1	no	—
1016	C₂²	—	4	2	no	—
1017	C₂²	—	4	1	no	—
1018	C₂²	—	4	2	no	—
1019	C₂²	—	4	1	no	—
1020	C₂²	—	4	2	no	—
1021	C₂²	—	16	2	no	—
1022	C₂²	C₃₁×#577	1	2	yes	—
1023	C₂²	C₃₁×#577	1	2	yes	—
1024	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1025	C₄	—	2	1	no	—
1026	C₄	—	2	1	no	—
1027	C₄	—	2	1	no	—
1028	C₄	—	2	2	no	—
1029	C₄	—	2	2	no	—
1030	C₄	—	2	2	no	—
1031	C₄	—	4	1	no	—
1032	C₄	—	4	2	no	—
1033	C₄	—	4	2	no	—
1034	C₄	—	4	2	no	—
1035	C₄	—	4	2	no	—
1036	C₄	—	4	2	no	—
1037	C₄	—	4	1	no	—
1038	C₄	—	4	1	no	—
1039	C₄	C₃₁×#585	1	2	yes	—
1040	C₂	—	2	2	no	—
1041	C₂	—	2	2	no	—
1042	C₂	—	4	1	no	—
1043	C₂	—	4	2	no	—
1044	C₂	—	8	2	no	—
1045	C₂	—	8	1	no	—
1046	C₂	C₃₁×#3485	1	1	yes	characteristic
1047	C₂	C₂×C₃₁×#577	1	1	yes	characteristic
1048	C₂	C₂×C₃₁×#577	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×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3536	C₂	semidirect
2. C₃₁×#3492	C₂	semidirect
3. C₃₁×#3345	C₂	semidirect
4. C₃₁×#3344	C₂	semidirect
5. C₃₁×#3335	C₂	semidirect
6. C₃₁×#3335	C₂	semidirect
7. C₃₁×#3316	C₂	semidirect
8. C₃₁×#3306	C₂	semidirect
9. C₃₁×#3301	C₂	semidirect
10. C₃₁×#3296	C₂	semidirect
11. C₃₁×#3244	C₂	semidirect
12. C₃₁×#3204	C₂	semidirect
13. C₃₁×#3190	C₂	semidirect
14. C₃₁×#3188	C₂	semidirect
15. C₃₁×#3125	C₂	semidirect
16. C₃₁×#3099	C₂	semidirect
17. C₂×C₃₁×#481	C₂	semidirect
18. C₂×C₃₁×#483	C₂	semidirect
19. C₃₁×#2977	C₂	semidirect
23. C₃₁×#554	C₂²	semidirect
25. C₃₁×#553	C₂²	semidirect
34. C₃₁×#544	C₂²	semidirect
42. C₃₁×#537	C₂²	semidirect
48. C₃₁×#520	C₂²	semidirect
49. C₃₁×#520	C₂²	semidirect
51. C₃₁×#501	C₂²	semidirect
52. C₃₁×#498	C₂²	semidirect
53. C₃₁×#489	C₂²	semidirect
54. C₃₁×#488	C₂²	semidirect
55. C₃₁×#485	C₂²	semidirect
56. C₃₁×#485	C₂²	semidirect
60. C₃₁×#483	C₂²	semidirect
61. C₃₁×#483	C₂²	semidirect
62. C₃₁×#483	C₂²	semidirect
63. C₃₁×#483	C₂²	semidirect
64. C₃₁×#483	C₂²	semidirect
66. C₃₁×#482	C₂²	semidirect
72. C₃₁×#481	C₂²	semidirect
73. C₃₁×#481	C₂²	semidirect
74. C₃₁×#480	C₂²	semidirect
75. C₃₁×#479	C₂²	semidirect
76. C₃₁×#478	C₂²	semidirect
77. C₃₁×#476	C₂²	semidirect
78. C₃₁×#476	C₂²	semidirect
79. C₃₁×#475	C₂²	semidirect
80. C₃₁×#475	C₂²	semidirect
81. C₃₁×#470	C₂²	semidirect
82. C₃₁×#469	C₂²	semidirect
87. C₃₁×#465	C₂²	semidirect
88. C₃₁×#465	C₂²	semidirect
89. C₃₁×#464	C₂²	semidirect
90. C₃₁×#463	C₂²	semidirect
91. C₃₁×#452	C₂²	semidirect
92. C₃₁×#452	C₂²	semidirect
93. C₃₁×#451	C₂²	semidirect
96. C₃₁×#449	C₂²	semidirect
97. C₃₁×#448	C₂²	semidirect
99. C₃₁×#442	C₂²	semidirect
100. C₃₁×#441	C₂²	semidirect
101. C₄×SD₁₆×C₃₁	C₂²	semidirect
102. C₄×SD₁₆×C₃₁	C₂²	semidirect
104. C₃₁×#435	C₂²	semidirect
106. C₈×D₄×C₃₁	C₂²	semidirect
107. C₃₁×#433	C₂²	semidirect
108. C₃₁×#428	C₂²	semidirect
110. C₂×C₃₁×#106	C₂²	semidirect
111. C₂×C₃₁×#106	C₂²	semidirect
112. C₃₁×#417	C₂²	semidirect
113. C₃₁×#416	C₂²	semidirect
114. C₂×C₃₁×#103	C₂²	semidirect
116. C₃₁×#408	C₂²	semidirect
404. #61765	C₃₁	direct (N × H)
480. #3536	C₂×C₃₁	semidirect
481. #3492	C₂×C₃₁	semidirect
482. #3345	C₂×C₃₁	semidirect
483. #3344	C₂×C₃₁	semidirect
484. #3335	C₂×C₃₁	semidirect
485. #3335	C₂×C₃₁	semidirect
486. #3316	C₂×C₃₁	semidirect
487. #3306	C₂×C₃₁	semidirect
488. #3301	C₂×C₃₁	semidirect
489. #3296	C₂×C₃₁	semidirect
490. #3244	C₂×C₃₁	semidirect
491. #3204	C₂×C₃₁	semidirect
492. #3190	C₂×C₃₁	semidirect
493. #3188	C₂×C₃₁	semidirect
494. #3125	C₂×C₃₁	semidirect
495. #3099	C₂×C₃₁	semidirect
496. C₂×#481	C₂×C₃₁	semidirect
497. C₂×#483	C₂×C₃₁	semidirect
498. #2977	C₂×C₃₁	semidirect
538. #554	C₂²×C₃₁	semidirect
540. #553	C₂²×C₃₁	semidirect
549. #544	C₂²×C₃₁	semidirect
557. #537	C₂²×C₃₁	semidirect
563. #520	C₂²×C₃₁	semidirect
564. #520	C₂²×C₃₁	semidirect
566. #501	C₂²×C₃₁	semidirect
567. #498	C₂²×C₃₁	semidirect
568. #489	C₂²×C₃₁	semidirect
569. #488	C₂²×C₃₁	semidirect
570. #485	C₂²×C₃₁	semidirect
571. #485	C₂²×C₃₁	semidirect
575. #483	C₂²×C₃₁	semidirect
576. #483	C₂²×C₃₁	semidirect
577. #483	C₂²×C₃₁	semidirect
578. #483	C₂²×C₃₁	semidirect
579. #483	C₂²×C₃₁	semidirect
581. #482	C₂²×C₃₁	semidirect
587. #481	C₂²×C₃₁	semidirect
588. #481	C₂²×C₃₁	semidirect
589. #480	C₂²×C₃₁	semidirect
590. #479	C₂²×C₃₁	semidirect
591. #478	C₂²×C₃₁	semidirect
592. #476	C₂²×C₃₁	semidirect
593. #476	C₂²×C₃₁	semidirect
594. #475	C₂²×C₃₁	semidirect
595. #475	C₂²×C₃₁	semidirect
596. #470	C₂²×C₃₁	semidirect
597. #469	C₂²×C₃₁	semidirect
602. #465	C₂²×C₃₁	semidirect
603. #465	C₂²×C₃₁	semidirect
604. #464	C₂²×C₃₁	semidirect
605. #463	C₂²×C₃₁	semidirect
606. #452	C₂²×C₃₁	semidirect
607. #452	C₂²×C₃₁	semidirect
608. #451	C₂²×C₃₁	semidirect
611. #449	C₂²×C₃₁	semidirect
612. #448	C₂²×C₃₁	semidirect
614. #442	C₂²×C₃₁	semidirect
615. #441	C₂²×C₃₁	semidirect
616. C₄×SD₁₆	C₂²×C₃₁	semidirect
617. C₄×SD₁₆	C₂²×C₃₁	semidirect
619. #435	C₂²×C₃₁	semidirect
621. C₈×D₄	C₂²×C₃₁	semidirect
622. #433	C₂²×C₃₁	semidirect
623. #428	C₂²×C₃₁	semidirect
625. C₂×#106	C₂²×C₃₁	semidirect
626. C₂×#106	C₂²×C₃₁	semidirect
627. #417	C₂²×C₃₁	semidirect
628. #416	C₂²×C₃₁	semidirect
629. C₂×#103	C₂²×C₃₁	semidirect
631. #408	C₂²×C₃₁	semidirect
804. C₃₁	#61765	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×#3536	2
C₃₁×#3492	2
C₃₁×#3345	2
C₃₁×#3344	2
C₃₁×#3335	2
C₃₁×#3316	2
C₃₁×#3306	2
C₃₁×#3301	2
C₃₁×#3296	2
C₃₁×#3244	2
C₃₁×#3204	2
C₃₁×#3190	2
C₃₁×#3188	2
C₃₁×#3125	2
C₃₁×#3099	2
C₂×C₃₁×#481	2
C₂×C₃₁×#483	2
C₃₁×#2977	2
#61765	31

Subgroups — C31×#61765 #21518524

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61765 #21518524