Subgroups — C₃₁×#34424 #21491183

Order 7936.

2442 conjugacy classes of subgroups.

The subgroup lattice has 978 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₁×#538	C₂	1	1	yes	maximal, characteristic
2	C₃₁×#2379	C₂	1	2	yes	maximal, complemented
3	C₃₁×#2376	C₂	1	2	yes	maximal, complemented
4	C₃₁×#2367	C₂	1	2	yes	maximal, complemented
5	C₃₁×#2359	C₂	1	2	yes	maximal, complemented
6	C₃₁×#2358	C₂	1	2	yes	maximal, complemented
7	C₃₁×#2358	C₂	1	2	yes	maximal, complemented
8	C₃₁×#2352	C₂	1	2	yes	maximal, complemented
9	C₃₁×#2349	C₂	1	2	yes	maximal, complemented
10	C₃₁×#2334	C₂	1	2	yes	maximal, complemented
11	C₃₁×#2334	C₂	1	2	yes	maximal, complemented
12	C₃₁×#2329	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#2325	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#2325	C₂	1	2	yes	maximal, complemented
15	C₃₁×#2324	C₂	1	2	yes	maximal, complemented
16	C₃₁×#2315	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×C₃₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×C₃₁×#121	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₃₁×#388	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#538	C₄	1	16	yes	complemented
21	C₂×C₃₁×#126	C₂²	1	2	yes	—
22	C₂×C₃₁×#124	C₂²	1	2	yes	—
23	C₂×C₃₁×#123	C₂²	1	2	yes	—
24	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₃₁×#121	C₂²	1	2	yes	—
26	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic
27	C₂×C₃₁×#120	C₂²	1	2	yes	—
28	C₂×C₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₄×D₄×C₃₁	C₂²	1	2	yes	—
30	C₂×C₄×D₄×C₃₁	C₂²	1	2	yes	—
31	C₂×C₄×D₄×C₃₁	C₂²	1	2	yes	—
32	C₂×C₄×D₄×C₃₁	C₂²	1	2	yes	—
33	C₂×C₄×D₄×C₃₁	C₂²	1	2	yes	—
34	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃₁×#117	C₂²	1	2	yes	complemented
36	C₂²×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
37	C₂²×C₂²⋊C₄×C₃₁	C₂²	1	2	yes	—
38	C₂²×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
39	C₂²×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
40	C₂²×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
41	C₂²×C₄²×C₃₁	C₂²	1	1	yes	characteristic
42	C₃₁×#391	C₂²	1	2	yes	complemented
43	C₃₁×#391	C₂²	1	1	yes	characteristic, complemented
44	C₃₁×#390	C₂²	1	2	yes	—
45	C₃₁×#390	C₂²	1	2	yes	—
46	C₃₁×#390	C₂²	1	1	yes	characteristic, complemented
47	C₃₁×#389	C₂²	1	2	yes	complemented
48	C₃₁×#389	C₂²	1	1	yes	characteristic, complemented
49	C₃₁×#389	C₂²	1	2	yes	complemented
50	C₃₁×#389	C₂²	1	2	yes	complemented
51	C₃₁×#389	C₂²	1	1	yes	characteristic, complemented
52	C₃₁×#388	C₂²	1	2	yes	—
53	C₃₁×#388	C₂²	1	2	yes	—
54	C₃₁×#388	C₂²	1	2	yes	—
55	C₃₁×#388	C₂²	1	2	yes	—
56	C₃₁×#388	C₂²	1	2	yes	—
57	C₃₁×#388	C₂²	1	2	yes	—
58	C₃₁×#388	C₂²	1	2	yes	—
59	C₃₁×#388	C₂²	1	2	yes	—
60	C₃₁×#388	C₂²	1	2	yes	complemented
61	C₃₁×#388	C₂²	1	2	yes	complemented
62	C₃₁×#388	C₂²	1	2	yes	complemented
63	C₃₁×#388	C₂²	1	2	yes	complemented
64	C₃₁×#387	C₂²	1	2	yes	complemented
65	C₃₁×#387	C₂²	1	2	yes	complemented
66	C₃₁×#387	C₂²	1	2	yes	complemented
67	C₃₁×#387	C₂²	1	2	yes	complemented
68	C₃₁×#387	C₂²	1	2	yes	complemented
69	C₃₁×#387	C₂²	1	2	yes	complemented
70	C₃₁×#386	C₂²	1	2	yes	—
71	C₃₁×#386	C₂²	1	2	yes	—
72	C₃₁×#386	C₂²	1	2	yes	—
73	C₃₁×#386	C₂²	1	2	yes	—
74	C₃₁×#386	C₂²	1	2	yes	—
75	C₃₁×#386	C₂²	1	2	yes	—
76	C₃₁×#386	C₂²	1	2	yes	complemented
77	C₃₁×#385	C₂²	1	2	yes	—
78	C₃₁×#385	C₂²	1	2	yes	—
79	C₃₁×#385	C₂²	1	2	yes	—
80	C₃₁×#385	C₂²	1	2	yes	—
81	C₃₁×#385	C₂²	1	2	yes	—
82	C₃₁×#385	C₂²	1	2	yes	—
83	C₃₁×#385	C₂²	1	2	yes	—
84	C₃₁×#385	C₂²	1	2	yes	—
85	C₃₁×#385	C₂²	1	2	yes	complemented
86	C₃₁×#385	C₂²	1	2	yes	complemented
87	C₃₁×#385	C₂²	1	2	yes	complemented
88	C₃₁×#382	C₂²	1	2	yes	complemented
89	C₃₁×#382	C₂²	1	2	yes	complemented
90	C₃₁×#380	C₂²	1	1	yes	characteristic
91	C₃₁×#380	C₂²	1	1	yes	characteristic
92	C₃₁×#380	C₂²	1	2	yes	—
93	C₃₁×#380	C₂²	1	2	yes	complemented
94	C₃₁×#380	C₂²	1	2	yes	complemented
95	C₄×C₄⋊C₄×C₃₁	C₂²	1	2	yes	complemented
96	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
97	C₄×C₄⋊C₄×C₃₁	C₂²	1	2	yes	complemented
98	C₄×C₄⋊C₄×C₃₁	C₂²	1	2	yes	complemented
99	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
100	C₄×C₂²⋊C₄×C₃₁	C₂²	1	2	yes	—
101	C₄×C₂²⋊C₄×C₃₁	C₂²	1	2	yes	—
102	C₄×C₂²⋊C₄×C₃₁	C₂²	1	2	yes	—
103	C₄×C₂²⋊C₄×C₃₁	C₂²	1	2	yes	—
104	C₄×C₂²⋊C₄×C₃₁	C₂²	1	2	yes	complemented
105	C₂×C₃₁×#95	C₂²	1	1	yes	characteristic
106	C₂×C₃₁×#95	C₂²	1	1	yes	characteristic
107	C₂×C₃₁×#95	C₂²	1	2	yes	complemented
108	C₂⁵×C₃₁	C₂³	1	1	yes	characteristic
109	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
110	C₂²×D₄×C₃₁	C₂³	1	2	yes	—
111	C₂²×D₄×C₃₁	C₂³	1	2	yes	—
112	C₂²×D₄×C₃₁	C₂³	1	2	yes	—
113	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
114	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
115	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
116	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
117	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
118	C₂³×C₄×C₃₁	C₂³	1	2	yes	—
119	C₂³×C₄×C₃₁	C₂³	1	2	yes	—
120	C₂³×C₄×C₃₁	C₂³	1	2	yes	—
121	C₂³×C₄×C₃₁	C₂³	1	2	yes	—
122	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
123	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
124	C₂³×C₄×C₃₁	C₂³	1	2	yes	—
125	C₃₁×#126	C₂×C₄	1	16	yes	complemented
126	C₃₁×#124	C₂×C₄	1	16	yes	complemented
127	C₃₁×#123	C₂×C₄	1	16	yes	complemented
128	C₃₁×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
129	C₃₁×#121	C₂×C₄	1	16	yes	complemented
130	C₃₁×#121	C₂×C₄	1	8	yes	complemented
131	C₃₁×#120	C₂×C₄	1	16	yes	complemented
132	C₄×Q₈×C₃₁	—	4	2	no	—
133	C₄×D₄×C₃₁	—	4	4	no	—
134	C₄×D₄×C₃₁	—	4	2	no	—
135	C₄×D₄×C₃₁	—	4	4	no	—
136	C₄×D₄×C₃₁	—	4	4	no	—
137	C₄×D₄×C₃₁	—	4	4	no	—
138	C₄×D₄×C₃₁	C₂×C₄	1	16	yes	complemented
139	C₃₁×#117	—	4	4	no	—
140	C₂×C₄⋊C₄×C₃₁	—	4	2	no	—
141	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
142	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
143	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
144	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
145	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
146	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
147	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
148	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
149	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
150	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
151	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
152	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
153	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
154	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
155	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
156	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
157	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
158	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
159	C₂×C₂²⋊C₄×C₃₁	—	4	2	no	—
160	C₂×C₂²⋊C₄×C₃₁	—	4	2	no	—
161	C₂×C₂²⋊C₄×C₃₁	—	4	4	no	—
162	C₂×C₂²⋊C₄×C₃₁	C₂×C₄	1	8	yes	complemented
163	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
164	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
165	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
166	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
167	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
168	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
169	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
170	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
171	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
172	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
173	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
174	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
175	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
176	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
177	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
178	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
179	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
180	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
181	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
182	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
183	C₂×C₂²⋊C₄×C₃₁	C₂³	1	2	yes	—
184	C₂×C₄²×C₃₁	—	4	2	no	—
185	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
186	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
187	C₂×C₄²×C₃₁	C₂³	1	2	yes	—
188	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
189	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
190	C₂×C₄²×C₃₁	C₂³	1	2	yes	—
191	C₂×C₄²×C₃₁	C₂³	1	2	yes	—
192	C₂×C₄²×C₃₁	C₂³	1	2	yes	—
193	C₂×C₄²×C₃₁	C₂³	1	2	yes	—
194	C₂×C₄²×C₃₁	C₂³	1	2	yes	—
195	C₂×C₄²×C₃₁	C₂³	1	2	yes	—
196	C₃₁×#95	C₂³	1	2	yes	—
197	C₃₁×#95	C₂³	1	2	yes	—
198	C₃₁×#95	C₂³	1	2	yes	—
199	C₃₁×#95	C₂³	1	2	yes	—
200	C₃₁×#95	C₂³	1	2	yes	—
201	C₃₁×#95	C₂³	1	2	yes	—
202	C₃₁×#95	C₂³	1	2	yes	—
203	C₃₁×#95	C₂³	1	2	yes	—
204	C₃₁×#95	C₂³	1	2	yes	—
205	C₃₁×#95	C₂³	1	2	yes	—
206	C₃₁×#95	C₂³	1	2	yes	—
207	C₃₁×#95	C₂³	1	2	yes	—
208	C₃₁×#95	C₂³	1	2	yes	—
209	C₃₁×#95	C₂³	1	2	yes	—
210	C₃₁×#95	C₂³	1	2	yes	—
211	C₃₁×#95	C₂³	1	2	yes	—
212	C₃₁×#95	C₂³	1	2	yes	—
213	C₃₁×#95	C₂³	1	2	yes	—
214	C₃₁×#95	C₂³	1	2	yes	—
215	C₃₁×#95	C₂³	1	2	yes	—
216	C₂⁴×C₃₁	—	2	2	no	—
217	C₂⁴×C₃₁	—	2	2	no	—
218	C₂⁴×C₃₁	—	4	1	no	—
219	C₂⁴×C₃₁	—	4	1	no	—
220	C₂⁴×C₃₁	—	4	1	no	—
221	C₂⁴×C₃₁	—	4	1	no	—
222	C₂⁴×C₃₁	C₂²×C₄	1	4	yes	—
223	C₂⁴×C₃₁	C₂⁴	1	2	yes	—
224	C₂⁴×C₃₁	C₂⁴	1	2	yes	—
225	C₂⁴×C₃₁	C₂⁴	1	1	yes	characteristic
226	C₂×Q₈×C₃₁	—	4	1	no	—
227	C₂×Q₈×C₃₁	—	4	1	no	—
228	C₂×Q₈×C₃₁	C₂²×C₄	1	4	yes	—
229	C₂×D₄×C₃₁	—	2	4	no	—
230	C₂×D₄×C₃₁	—	2	4	no	—
231	C₂×D₄×C₃₁	—	4	2	no	—
232	C₂×D₄×C₃₁	—	4	1	no	—
233	C₂×D₄×C₃₁	—	4	2	no	—
234	C₂×D₄×C₃₁	—	4	2	no	—
235	C₂×D₄×C₃₁	—	4	1	no	—
236	C₂×D₄×C₃₁	—	4	2	no	—
237	C₂×D₄×C₃₁	C₂²×C₄	1	8	yes	—
238	C₂×D₄×C₃₁	C₂²×C₄	1	8	yes	—
239	C₂×D₄×C₃₁	C₂²×C₄	1	8	yes	—
240	C₂×D₄×C₃₁	C₂²×C₄	1	4	yes	—
241	C₂²×C₄×C₃₁	—	2	2	no	—
242	C₂²×C₄×C₃₁	—	2	2	no	—
243	C₂²×C₄×C₃₁	—	2	2	no	—
244	C₂²×C₄×C₃₁	—	2	2	no	—
245	C₂²×C₄×C₃₁	—	2	2	no	—
246	C₂²×C₄×C₃₁	—	2	2	no	—
247	C₂²×C₄×C₃₁	—	2	4	no	—
248	C₂²×C₄×C₃₁	—	4	1	no	—
249	C₂²×C₄×C₃₁	—	4	1	no	—
250	C₂²×C₄×C₃₁	—	4	1	no	—
251	C₂²×C₄×C₃₁	—	4	2	no	—
252	C₂²×C₄×C₃₁	—	4	1	no	—
253	C₂²×C₄×C₃₁	—	4	2	no	—
254	C₂²×C₄×C₃₁	—	4	1	no	—
255	C₂²×C₄×C₃₁	—	4	1	no	—
256	C₂²×C₄×C₃₁	—	4	1	no	—
257	C₂²×C₄×C₃₁	—	4	2	no	—
258	C₂²×C₄×C₃₁	—	4	2	no	—
259	C₂²×C₄×C₃₁	—	4	1	no	—
260	C₂²×C₄×C₃₁	—	4	1	no	—
261	C₂²×C₄×C₃₁	—	4	2	no	—
262	C₂²×C₄×C₃₁	—	4	2	no	—
263	C₂²×C₄×C₃₁	—	4	2	no	—
264	C₂²×C₄×C₃₁	—	4	2	no	—
265	C₂²×C₄×C₃₁	—	4	2	no	—
266	C₂²×C₄×C₃₁	—	4	2	no	—
267	C₂²×C₄×C₃₁	—	4	2	no	—
268	C₂²×C₄×C₃₁	—	4	2	no	—
269	C₂²×C₄×C₃₁	—	4	1	no	—
270	C₂²×C₄×C₃₁	—	4	2	no	—
271	C₂²×C₄×C₃₁	C₂²×C₄	1	4	yes	—
272	C₂²×C₄×C₃₁	C₂²×C₄	1	4	yes	—
273	C₂²×C₄×C₃₁	C₂²×C₄	1	8	yes	—
274	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
275	C₂²×C₄×C₃₁	C₂⁴	1	2	yes	—
276	C₂²×C₄×C₃₁	C₂⁴	1	2	yes	—
277	C₂²×C₄×C₃₁	C₂⁴	1	2	yes	—
278	C₂²×C₄×C₃₁	C₂⁴	1	2	yes	—
279	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
280	C₂²×C₄×C₃₁	C₂⁴	1	2	yes	—
281	C₂²×C₄×C₃₁	C₂⁴	1	2	yes	—
282	C₂²×C₄×C₃₁	C₂⁴	1	2	yes	—
283	C₂²×C₄×C₃₁	C₂⁴	1	2	yes	—
284	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
285	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
286	C₂²×C₄×C₃₁	C₂⁴	1	2	yes	—
287	C₂²×C₄×C₃₁	C₂⁴	1	2	yes	—
288	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
289	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
290	C₄⋊C₄×C₃₁	—	2	4	no	—
291	C₄⋊C₄×C₃₁	—	2	4	no	—
292	C₄⋊C₄×C₃₁	—	4	2	no	—
293	C₄⋊C₄×C₃₁	—	4	2	no	—
294	C₄⋊C₄×C₃₁	—	4	1	no	—
295	C₄⋊C₄×C₃₁	—	4	2	no	—
296	C₄⋊C₄×C₃₁	—	4	1	no	—
297	C₄⋊C₄×C₃₁	—	4	2	no	—
298	C₄⋊C₄×C₃₁	—	4	2	no	—
299	C₄⋊C₄×C₃₁	—	4	2	no	—
300	C₄⋊C₄×C₃₁	—	4	1	no	—
301	C₄⋊C₄×C₃₁	—	4	2	no	—
302	C₄⋊C₄×C₃₁	—	4	2	no	—
303	C₄⋊C₄×C₃₁	—	4	1	no	—
304	C₄⋊C₄×C₃₁	C₂²×C₄	1	8	yes	—
305	C₄⋊C₄×C₃₁	C₂²×C₄	1	8	yes	—
306	C₄⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
307	C₄⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
308	C₂²⋊C₄×C₃₁	—	2	4	no	—
309	C₂²⋊C₄×C₃₁	—	2	4	no	—
310	C₂²⋊C₄×C₃₁	—	2	4	no	—
311	C₂²⋊C₄×C₃₁	—	2	4	no	—
312	C₂²⋊C₄×C₃₁	—	2	4	no	—
313	C₂²⋊C₄×C₃₁	—	4	2	no	—
314	C₂²⋊C₄×C₃₁	—	4	2	no	—
315	C₂²⋊C₄×C₃₁	—	4	2	no	—
316	C₂²⋊C₄×C₃₁	—	4	2	no	—
317	C₂²⋊C₄×C₃₁	—	4	2	no	—
318	C₂²⋊C₄×C₃₁	—	4	2	no	—
319	C₂²⋊C₄×C₃₁	—	4	2	no	—
320	C₂²⋊C₄×C₃₁	—	4	2	no	—
321	C₂²⋊C₄×C₃₁	—	4	2	no	—
322	C₂²⋊C₄×C₃₁	C₂²×C₄	1	8	yes	—
323	C₂²⋊C₄×C₃₁	C₂²×C₄	1	8	yes	—
324	C₂²⋊C₄×C₃₁	C₂²×C₄	1	8	yes	—
325	C₂²⋊C₄×C₃₁	C₂²×C₄	1	8	yes	—
326	C₂²⋊C₄×C₃₁	C₂²×C₄	1	8	yes	—
327	C₂²⋊C₄×C₃₁	C₂²×C₄	1	8	yes	—
328	C₂²⋊C₄×C₃₁	C₂²×C₄	1	8	yes	—
329	C₄²×C₃₁	—	2	2	no	—
330	C₄²×C₃₁	—	2	2	no	—
331	C₄²×C₃₁	—	2	4	no	—
332	C₄²×C₃₁	—	4	1	no	—
333	C₄²×C₃₁	—	4	1	no	—
334	C₄²×C₃₁	—	4	2	no	—
335	C₄²×C₃₁	—	4	2	no	—
336	C₄²×C₃₁	—	4	2	no	—
337	C₄²×C₃₁	—	4	2	no	—
338	C₄²×C₃₁	—	4	2	no	—
339	C₄²×C₃₁	C₂²×C₄	1	8	yes	—
340	#34424	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
341	C₂³×C₃₁	—	2	1	no	—
342	C₂³×C₃₁	—	2	1	no	—
343	C₂³×C₃₁	—	2	1	no	—
344	C₂³×C₃₁	—	2	1	no	—
345	C₂³×C₃₁	—	2	2	no	—
346	C₂³×C₃₁	—	2	2	no	—
347	C₂³×C₃₁	—	2	2	no	—
348	C₂³×C₃₁	—	2	2	no	—
349	C₂³×C₃₁	—	2	2	no	—
350	C₂³×C₃₁	—	2	2	no	—
351	C₂³×C₃₁	—	2	2	no	—
352	C₂³×C₃₁	—	2	2	no	—
353	C₂³×C₃₁	—	2	2	no	—
354	C₂³×C₃₁	—	2	2	no	—
355	C₂³×C₃₁	—	2	2	no	—
356	C₂³×C₃₁	—	2	2	no	—
357	C₂³×C₃₁	—	2	8	no	—
358	C₂³×C₃₁	—	4	4	no	—
359	C₂³×C₃₁	—	4	4	no	—
360	C₂³×C₃₁	—	8	2	no	—
361	C₂³×C₃₁	—	8	2	no	—
362	C₂³×C₃₁	—	8	2	no	—
363	C₂³×C₃₁	—	8	2	no	—
364	C₂³×C₃₁	C₂³×C₄	1	4	yes	—
365	C₂³×C₃₁	C₂³×C₄	1	4	yes	—
366	C₂³×C₃₁	C₂³×C₄	1	2	yes	—
367	C₂³×C₃₁	H(5,𝔽₂)	1	2	yes	—
368	C₂³×C₃₁	2₋¹⁺⁴	1	2	yes	—
369	C₂³×C₃₁	C₂⁵	1	1	yes	characteristic
370	Q₈×C₃₁	—	4	4	no	—
371	D₄×C₃₁	—	2	16	no	—
372	D₄×C₃₁	—	4	8	no	—
373	D₄×C₃₁	—	4	4	no	—
374	D₄×C₃₁	—	4	8	no	—
375	C₂×C₄×C₃₁	—	2	1	no	—
376	C₂×C₄×C₃₁	—	2	1	no	—
377	C₂×C₄×C₃₁	—	2	2	no	—
378	C₂×C₄×C₃₁	—	2	1	no	—
379	C₂×C₄×C₃₁	—	2	2	no	—
380	C₂×C₄×C₃₁	—	2	2	no	—
381	C₂×C₄×C₃₁	—	2	1	no	—
382	C₂×C₄×C₃₁	—	2	2	no	—
383	C₂×C₄×C₃₁	—	2	1	no	—
384	C₂×C₄×C₃₁	—	2	2	no	—
385	C₂×C₄×C₃₁	—	2	2	no	—
386	C₂×C₄×C₃₁	—	2	2	no	—
387	C₂×C₄×C₃₁	—	2	1	no	—
388	C₂×C₄×C₃₁	—	2	1	no	—
389	C₂×C₄×C₃₁	—	2	2	no	—
390	C₂×C₄×C₃₁	—	2	1	no	—
391	C₂×C₄×C₃₁	—	2	1	no	—
392	C₂×C₄×C₃₁	—	2	2	no	—
393	C₂×C₄×C₃₁	—	2	1	no	—
394	C₂×C₄×C₃₁	—	2	2	no	—
395	C₂×C₄×C₃₁	—	2	2	no	—
396	C₂×C₄×C₃₁	—	2	2	no	—
397	C₂×C₄×C₃₁	—	2	2	no	—
398	C₂×C₄×C₃₁	—	2	2	no	—
399	C₂×C₄×C₃₁	—	2	2	no	—
400	C₂×C₄×C₃₁	—	2	2	no	—
401	C₂×C₄×C₃₁	—	2	2	no	—
402	C₂×C₄×C₃₁	—	2	2	no	—
403	C₂×C₄×C₃₁	—	2	2	no	—
404	C₂×C₄×C₃₁	—	2	2	no	—
405	C₂×C₄×C₃₁	—	2	1	no	—
406	C₂×C₄×C₃₁	—	2	1	no	—
407	C₂×C₄×C₃₁	—	2	1	no	—
408	C₂×C₄×C₃₁	—	2	2	no	—
409	C₂×C₄×C₃₁	—	2	1	no	—
410	C₂×C₄×C₃₁	—	2	2	no	—
411	C₂×C₄×C₃₁	—	2	2	no	—
412	C₂×C₄×C₃₁	—	2	2	no	—
413	C₂×C₄×C₃₁	—	2	2	no	—
414	C₂×C₄×C₃₁	—	2	2	no	—
415	C₂×C₄×C₃₁	—	4	4	no	—
416	C₂×C₄×C₃₁	—	4	8	no	—
417	C₂×C₄×C₃₁	—	4	4	no	—
418	C₂×C₄×C₃₁	—	4	4	no	—
419	C₂×C₄×C₃₁	—	4	4	no	—
420	C₂×C₄×C₃₁	—	8	4	no	—
421	C₂×C₄×C₃₁	—	8	2	no	—
422	C₂×C₄×C₃₁	—	8	2	no	—
423	C₂×C₄×C₃₁	—	8	4	no	—
424	C₂×C₄×C₃₁	—	8	4	no	—
425	C₂×C₄×C₃₁	—	8	4	no	—
426	C₂×C₄×C₃₁	C₂³×C₄	1	4	yes	—
427	C₂×C₄×C₃₁	C₂³×C₄	1	4	yes	—
428	C₂×C₄×C₃₁	C₂³×C₄	1	4	yes	—
429	C₂×C₄×C₃₁	C₂³×C₄	1	2	yes	—
430	C₂×C₄×C₃₁	C₂³×C₄	1	2	yes	—
431	C₂×C₄×C₃₁	C₂³×C₄	1	4	yes	—
432	C₂×C₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
433	C₂×C₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
434	C₂×#538	C₂×C₃₁	1	1	yes	characteristic
435	#2379	C₂×C₃₁	1	2	yes	complemented
436	#2376	C₂×C₃₁	1	2	yes	complemented
437	#2367	C₂×C₃₁	1	2	yes	complemented
438	#2359	C₂×C₃₁	1	2	yes	complemented
439	#2358	C₂×C₃₁	1	2	yes	complemented
440	#2358	C₂×C₃₁	1	2	yes	complemented
441	#2352	C₂×C₃₁	1	2	yes	complemented
442	#2349	C₂×C₃₁	1	2	yes	complemented
443	#2334	C₂×C₃₁	1	2	yes	complemented
444	#2334	C₂×C₃₁	1	2	yes	complemented
445	#2329	C₂×C₃₁	1	1	yes	characteristic, complemented
446	#2325	C₂×C₃₁	1	1	yes	characteristic, complemented
447	#2325	C₂×C₃₁	1	2	yes	complemented
448	#2324	C₂×C₃₁	1	2	yes	complemented
449	#2315	C₂×C₃₁	1	1	yes	characteristic, complemented
450	C₄×C₂²⋊Q₈	C₂×C₃₁	1	1	yes	characteristic, complemented
451	C₄×#121	C₂×C₃₁	1	1	yes	characteristic, complemented
452	C₂×#388	C₂×C₃₁	1	1	yes	characteristic, complemented
453	C₂²×C₃₁	—	2	2	no	—
454	C₂²×C₃₁	—	2	2	no	—
455	C₂²×C₃₁	—	2	2	no	—
456	C₂²×C₃₁	—	2	2	no	—
457	C₂²×C₃₁	—	2	2	no	—
458	C₂²×C₃₁	—	2	2	no	—
459	C₂²×C₃₁	—	2	4	no	—
460	C₂²×C₃₁	—	2	4	no	—
461	C₂²×C₃₁	—	2	4	no	—
462	C₂²×C₃₁	—	2	4	no	—
463	C₂²×C₃₁	—	2	4	no	—
464	C₂²×C₃₁	—	2	4	no	—
465	C₂²×C₃₁	—	4	2	no	—
466	C₂²×C₃₁	—	4	2	no	—
467	C₂²×C₃₁	—	4	2	no	—
468	C₂²×C₃₁	—	4	2	no	—
469	C₂²×C₃₁	—	4	2	no	—
470	C₂²×C₃₁	—	4	2	no	—
471	C₂²×C₃₁	—	4	2	no	—
472	C₂²×C₃₁	—	4	2	no	—
473	C₂²×C₃₁	—	8	8	no	—
474	C₂²×C₃₁	#520	1	4	yes	—
475	C₂²×C₃₁	C₂⁴×C₄	1	1	yes	characteristic
476	C₂²×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
477	C₂²×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
478	C₂²×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
479	C₂²×C₃₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
480	C₂²×C₃₁	#585	1	1	yes	characteristic
481	C₂²×C₃₁	#585	1	1	yes	characteristic
482	C₄×C₃₁	—	2	4	no	—
483	C₄×C₃₁	—	2	4	no	—
484	C₄×C₃₁	—	2	4	no	—
485	C₄×C₃₁	—	2	2	no	—
486	C₄×C₃₁	—	2	2	no	—
487	C₄×C₃₁	—	2	4	no	—
488	C₄×C₃₁	—	2	2	no	—
489	C₄×C₃₁	—	2	2	no	—
490	C₄×C₃₁	—	4	1	no	—
491	C₄×C₃₁	—	4	2	no	—
492	C₄×C₃₁	—	4	2	no	—
493	C₄×C₃₁	—	4	1	no	—
494	C₄×C₃₁	—	4	2	no	—
495	C₄×C₃₁	—	4	2	no	—
496	C₄×C₃₁	—	4	2	no	—
497	C₄×C₃₁	—	4	2	no	—
498	#538	C₄×C₃₁	1	16	yes	complemented
499	C₂×#126	C₂²×C₃₁	1	2	yes	—
500	C₂×#124	C₂²×C₃₁	1	2	yes	—
501	C₂×#123	C₂²×C₃₁	1	2	yes	—
502	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
503	C₂×#121	C₂²×C₃₁	1	2	yes	—
504	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic
505	C₂×#120	C₂²×C₃₁	1	2	yes	—
506	C₂×C₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
507	C₂×C₄×D₄	C₂²×C₃₁	1	2	yes	—
508	C₂×C₄×D₄	C₂²×C₃₁	1	2	yes	—
509	C₂×C₄×D₄	C₂²×C₃₁	1	2	yes	—
510	C₂×C₄×D₄	C₂²×C₃₁	1	2	yes	—
511	C₂×C₄×D₄	C₂²×C₃₁	1	2	yes	—
512	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
513	C₂×#117	C₂²×C₃₁	1	2	yes	complemented
514	C₂²×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
515	C₂²×C₂²⋊C₄	C₂²×C₃₁	1	2	yes	—
516	C₂²×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
517	C₂²×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
518	C₂²×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
519	C₂²×C₄²	C₂²×C₃₁	1	1	yes	characteristic
520	#391	C₂²×C₃₁	1	2	yes	complemented
521	#391	C₂²×C₃₁	1	1	yes	characteristic, complemented
522	#390	C₂²×C₃₁	1	2	yes	—
523	#390	C₂²×C₃₁	1	2	yes	—
524	#390	C₂²×C₃₁	1	1	yes	characteristic, complemented
525	#389	C₂²×C₃₁	1	2	yes	complemented
526	#389	C₂²×C₃₁	1	1	yes	characteristic, complemented
527	#389	C₂²×C₃₁	1	2	yes	complemented
528	#389	C₂²×C₃₁	1	2	yes	complemented
529	#389	C₂²×C₃₁	1	1	yes	characteristic, complemented
530	#388	C₂²×C₃₁	1	2	yes	—
531	#388	C₂²×C₃₁	1	2	yes	—
532	#388	C₂²×C₃₁	1	2	yes	—
533	#388	C₂²×C₃₁	1	2	yes	—
534	#388	C₂²×C₃₁	1	2	yes	—
535	#388	C₂²×C₃₁	1	2	yes	—
536	#388	C₂²×C₃₁	1	2	yes	—
537	#388	C₂²×C₃₁	1	2	yes	—
538	#388	C₂²×C₃₁	1	2	yes	complemented
539	#388	C₂²×C₃₁	1	2	yes	complemented
540	#388	C₂²×C₃₁	1	2	yes	complemented
541	#388	C₂²×C₃₁	1	2	yes	complemented
542	#387	C₂²×C₃₁	1	2	yes	complemented
543	#387	C₂²×C₃₁	1	2	yes	complemented
544	#387	C₂²×C₃₁	1	2	yes	complemented
545	#387	C₂²×C₃₁	1	2	yes	complemented
546	#387	C₂²×C₃₁	1	2	yes	complemented
547	#387	C₂²×C₃₁	1	2	yes	complemented
548	#386	C₂²×C₃₁	1	2	yes	—
549	#386	C₂²×C₃₁	1	2	yes	—
550	#386	C₂²×C₃₁	1	2	yes	—
551	#386	C₂²×C₃₁	1	2	yes	—
552	#386	C₂²×C₃₁	1	2	yes	—
553	#386	C₂²×C₃₁	1	2	yes	—
554	#386	C₂²×C₃₁	1	2	yes	complemented
555	#385	C₂²×C₃₁	1	2	yes	—
556	#385	C₂²×C₃₁	1	2	yes	—
557	#385	C₂²×C₃₁	1	2	yes	—
558	#385	C₂²×C₃₁	1	2	yes	—
559	#385	C₂²×C₃₁	1	2	yes	—
560	#385	C₂²×C₃₁	1	2	yes	—
561	#385	C₂²×C₃₁	1	2	yes	—
562	#385	C₂²×C₃₁	1	2	yes	—
563	#385	C₂²×C₃₁	1	2	yes	complemented
564	#385	C₂²×C₃₁	1	2	yes	complemented
565	#385	C₂²×C₃₁	1	2	yes	complemented
566	#382	C₂²×C₃₁	1	2	yes	complemented
567	#382	C₂²×C₃₁	1	2	yes	complemented
568	#380	C₂²×C₃₁	1	1	yes	characteristic
569	#380	C₂²×C₃₁	1	1	yes	characteristic
570	#380	C₂²×C₃₁	1	2	yes	—
571	#380	C₂²×C₃₁	1	2	yes	complemented
572	#380	C₂²×C₃₁	1	2	yes	complemented
573	C₄×C₄⋊C₄	C₂²×C₃₁	1	2	yes	complemented
574	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
575	C₄×C₄⋊C₄	C₂²×C₃₁	1	2	yes	complemented
576	C₄×C₄⋊C₄	C₂²×C₃₁	1	2	yes	complemented
577	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
578	C₄×C₂²⋊C₄	C₂²×C₃₁	1	2	yes	—
579	C₄×C₂²⋊C₄	C₂²×C₃₁	1	2	yes	—
580	C₄×C₂²⋊C₄	C₂²×C₃₁	1	2	yes	—
581	C₄×C₂²⋊C₄	C₂²×C₃₁	1	2	yes	—
582	C₄×C₂²⋊C₄	C₂²×C₃₁	1	2	yes	complemented
583	C₂×#95	C₂²×C₃₁	1	1	yes	characteristic
584	C₂×#95	C₂²×C₃₁	1	1	yes	characteristic
585	C₂×#95	C₂²×C₃₁	1	2	yes	complemented
586	C₂×C₃₁	—	2	4	no	—
587	C₂×C₃₁	—	4	4	no	—
588	C₂×C₃₁	—	4	4	no	—
589	C₂×C₃₁	C₂×#520	1	1	yes	characteristic
590	C₂×C₃₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
591	C₂×C₃₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
592	C₂×C₃₁	#3534	1	1	yes	characteristic
593	C₂×C₃₁	#3536	1	1	yes	characteristic
594	C₂×C₃₁	#3558	1	1	yes	characteristic
595	C₂×C₃₁	#3564	1	1	yes	characteristic
596	C₂⁵	C₂³×C₃₁	1	1	yes	characteristic
597	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
598	C₂²×D₄	C₂³×C₃₁	1	2	yes	—
599	C₂²×D₄	C₂³×C₃₁	1	2	yes	—
600	C₂²×D₄	C₂³×C₃₁	1	2	yes	—
601	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
602	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
603	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
604	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
605	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
606	C₂³×C₄	C₂³×C₃₁	1	2	yes	—
607	C₂³×C₄	C₂³×C₃₁	1	2	yes	—
608	C₂³×C₄	C₂³×C₃₁	1	2	yes	—
609	C₂³×C₄	C₂³×C₃₁	1	2	yes	—
610	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
611	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
612	C₂³×C₄	C₂³×C₃₁	1	2	yes	—
613	#126	C₂×C₄×C₃₁	1	16	yes	complemented
614	#124	C₂×C₄×C₃₁	1	16	yes	complemented
615	#123	C₂×C₄×C₃₁	1	16	yes	complemented
616	C₂²⋊Q₈	C₂×C₄×C₃₁	1	8	yes	complemented
617	#121	C₂×C₄×C₃₁	1	16	yes	complemented
618	#121	C₂×C₄×C₃₁	1	8	yes	complemented
619	#120	C₂×C₄×C₃₁	1	16	yes	complemented
620	C₄×Q₈	—	4	2	no	—
621	C₄×D₄	—	4	4	no	—
622	C₄×D₄	—	4	2	no	—
623	C₄×D₄	—	4	4	no	—
624	C₄×D₄	—	4	4	no	—
625	C₄×D₄	—	4	4	no	—
626	C₄×D₄	C₂×C₄×C₃₁	1	16	yes	complemented
627	#117	—	4	4	no	—
628	C₂×C₄⋊C₄	—	4	2	no	—
629	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
630	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
631	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
632	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
633	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
634	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
635	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
636	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
637	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
638	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
639	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
642	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
643	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
644	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
645	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
647	C₂×C₂²⋊C₄	—	4	2	no	—
648	C₂×C₂²⋊C₄	—	4	2	no	—
649	C₂×C₂²⋊C₄	—	4	4	no	—
650	C₂×C₂²⋊C₄	C₂×C₄×C₃₁	1	8	yes	complemented
651	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
652	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
653	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
654	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
655	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
656	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
657	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
658	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
659	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
660	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
661	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
662	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
663	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
664	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
665	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
666	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
667	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
668	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
669	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
670	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
671	C₂×C₂²⋊C₄	C₂³×C₃₁	1	2	yes	—
672	C₂×C₄²	—	4	2	no	—
673	C₂×C₄²	C₂³×C₃₁	1	2	yes	—
674	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
675	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
676	C₂×C₄²	C₂³×C₃₁	1	2	yes	—
677	C₂×C₄²	C₂³×C₃₁	1	2	yes	—
678	C₂×C₄²	C₂³×C₃₁	1	2	yes	—
679	C₂×C₄²	C₂³×C₃₁	1	2	yes	—
680	C₂×C₄²	C₂³×C₃₁	1	2	yes	—
681	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
682	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
683	C₂×C₄²	C₂³×C₃₁	1	2	yes	—
684	#95	C₂³×C₃₁	1	2	yes	—
685	#95	C₂³×C₃₁	1	2	yes	—
686	#95	C₂³×C₃₁	1	2	yes	—
687	#95	C₂³×C₃₁	1	2	yes	—
688	#95	C₂³×C₃₁	1	2	yes	—
689	#95	C₂³×C₃₁	1	2	yes	—
690	#95	C₂³×C₃₁	1	2	yes	—
691	#95	C₂³×C₃₁	1	2	yes	—
692	#95	C₂³×C₃₁	1	2	yes	—
693	#95	C₂³×C₃₁	1	2	yes	—
694	#95	C₂³×C₃₁	1	2	yes	—
695	#95	C₂³×C₃₁	1	2	yes	—
696	#95	C₂³×C₃₁	1	2	yes	—
697	#95	C₂³×C₃₁	1	2	yes	—
698	#95	C₂³×C₃₁	1	2	yes	—
699	#95	C₂³×C₃₁	1	2	yes	—
700	#95	C₂³×C₃₁	1	2	yes	—
701	#95	C₂³×C₃₁	1	2	yes	—
702	#95	C₂³×C₃₁	1	2	yes	—
703	#95	C₂³×C₃₁	1	2	yes	—
704	C₃₁	#34424	1	1	yes	characteristic, direct product factor, Sylow
705	C₂⁴	—	2	2	no	—
706	C₂⁴	—	2	2	no	—
707	C₂⁴	—	4	1	no	—
708	C₂⁴	—	4	1	no	—
709	C₂⁴	—	4	1	no	—
710	C₂⁴	—	4	1	no	—
711	C₂⁴	C₂²×C₄×C₃₁	1	4	yes	—
712	C₂⁴	C₂⁴×C₃₁	1	2	yes	—
713	C₂⁴	C₂⁴×C₃₁	1	2	yes	—
714	C₂⁴	C₂⁴×C₃₁	1	1	yes	characteristic
715	C₂×Q₈	—	4	1	no	—
716	C₂×Q₈	—	4	1	no	—
717	C₂×Q₈	C₂²×C₄×C₃₁	1	4	yes	—
718	C₂×D₄	—	2	4	no	—
719	C₂×D₄	—	2	4	no	—
720	C₂×D₄	—	4	2	no	—
721	C₂×D₄	—	4	1	no	—
722	C₂×D₄	—	4	2	no	—
723	C₂×D₄	—	4	2	no	—
724	C₂×D₄	—	4	1	no	—
725	C₂×D₄	—	4	2	no	—
726	C₂×D₄	C₂²×C₄×C₃₁	1	8	yes	—
727	C₂×D₄	C₂²×C₄×C₃₁	1	8	yes	—
728	C₂×D₄	C₂²×C₄×C₃₁	1	8	yes	—
729	C₂×D₄	C₂²×C₄×C₃₁	1	4	yes	—
730	C₂²×C₄	—	2	2	no	—
731	C₂²×C₄	—	2	2	no	—
732	C₂²×C₄	—	2	2	no	—
733	C₂²×C₄	—	2	2	no	—
734	C₂²×C₄	—	2	2	no	—
735	C₂²×C₄	—	2	2	no	—
736	C₂²×C₄	—	2	4	no	—
737	C₂²×C₄	—	4	1	no	—
738	C₂²×C₄	—	4	1	no	—
739	C₂²×C₄	—	4	1	no	—
740	C₂²×C₄	—	4	2	no	—
741	C₂²×C₄	—	4	1	no	—
742	C₂²×C₄	—	4	2	no	—
743	C₂²×C₄	—	4	1	no	—
744	C₂²×C₄	—	4	1	no	—
745	C₂²×C₄	—	4	1	no	—
746	C₂²×C₄	—	4	2	no	—
747	C₂²×C₄	—	4	2	no	—
748	C₂²×C₄	—	4	1	no	—
749	C₂²×C₄	—	4	1	no	—
750	C₂²×C₄	—	4	2	no	—
751	C₂²×C₄	—	4	2	no	—
752	C₂²×C₄	—	4	2	no	—
753	C₂²×C₄	—	4	2	no	—
754	C₂²×C₄	—	4	2	no	—
755	C₂²×C₄	—	4	2	no	—
756	C₂²×C₄	—	4	2	no	—
757	C₂²×C₄	—	4	2	no	—
758	C₂²×C₄	—	4	1	no	—
759	C₂²×C₄	—	4	2	no	—
760	C₂²×C₄	C₂²×C₄×C₃₁	1	4	yes	—
761	C₂²×C₄	C₂²×C₄×C₃₁	1	4	yes	—
762	C₂²×C₄	C₂²×C₄×C₃₁	1	8	yes	—
763	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
764	C₂²×C₄	C₂⁴×C₃₁	1	2	yes	—
765	C₂²×C₄	C₂⁴×C₃₁	1	2	yes	—
766	C₂²×C₄	C₂⁴×C₃₁	1	2	yes	—
767	C₂²×C₄	C₂⁴×C₃₁	1	2	yes	—
768	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
769	C₂²×C₄	C₂⁴×C₃₁	1	2	yes	—
770	C₂²×C₄	C₂⁴×C₃₁	1	2	yes	—
771	C₂²×C₄	C₂⁴×C₃₁	1	2	yes	—
772	C₂²×C₄	C₂⁴×C₃₁	1	2	yes	—
773	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
774	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
775	C₂²×C₄	C₂⁴×C₃₁	1	2	yes	—
776	C₂²×C₄	C₂⁴×C₃₁	1	2	yes	—
777	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
778	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
779	C₄⋊C₄	—	2	4	no	—
780	C₄⋊C₄	—	2	4	no	—
781	C₄⋊C₄	—	4	2	no	—
782	C₄⋊C₄	—	4	2	no	—
783	C₄⋊C₄	—	4	1	no	—
784	C₄⋊C₄	—	4	2	no	—
785	C₄⋊C₄	—	4	1	no	—
786	C₄⋊C₄	—	4	2	no	—
787	C₄⋊C₄	—	4	2	no	—
788	C₄⋊C₄	—	4	2	no	—
789	C₄⋊C₄	—	4	1	no	—
790	C₄⋊C₄	—	4	2	no	—
791	C₄⋊C₄	—	4	2	no	—
792	C₄⋊C₄	—	4	1	no	—
793	C₄⋊C₄	C₂²×C₄×C₃₁	1	8	yes	—
794	C₄⋊C₄	C₂²×C₄×C₃₁	1	8	yes	—
795	C₄⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
796	C₄⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
797	C₂²⋊C₄	—	2	4	no	—
798	C₂²⋊C₄	—	2	4	no	—
799	C₂²⋊C₄	—	2	4	no	—
800	C₂²⋊C₄	—	2	4	no	—
801	C₂²⋊C₄	—	2	4	no	—
802	C₂²⋊C₄	—	4	2	no	—
803	C₂²⋊C₄	—	4	2	no	—
804	C₂²⋊C₄	—	4	2	no	—
805	C₂²⋊C₄	—	4	2	no	—
806	C₂²⋊C₄	—	4	2	no	—
807	C₂²⋊C₄	—	4	2	no	—
808	C₂²⋊C₄	—	4	2	no	—
809	C₂²⋊C₄	—	4	2	no	—
810	C₂²⋊C₄	—	4	2	no	—
811	C₂²⋊C₄	C₂²×C₄×C₃₁	1	8	yes	—
812	C₂²⋊C₄	C₂²×C₄×C₃₁	1	8	yes	—
813	C₂²⋊C₄	C₂²×C₄×C₃₁	1	8	yes	—
814	C₂²⋊C₄	C₂²×C₄×C₃₁	1	8	yes	—
815	C₂²⋊C₄	C₂²×C₄×C₃₁	1	8	yes	—
816	C₂²⋊C₄	C₂²×C₄×C₃₁	1	8	yes	—
817	C₂²⋊C₄	C₂²×C₄×C₃₁	1	8	yes	—
818	C₄²	—	2	2	no	—
819	C₄²	—	2	2	no	—
820	C₄²	—	2	4	no	—
821	C₄²	—	4	1	no	—
822	C₄²	—	4	1	no	—
823	C₄²	—	4	2	no	—
824	C₄²	—	4	2	no	—
825	C₄²	—	4	2	no	—
826	C₄²	—	4	2	no	—
827	C₄²	—	4	2	no	—
828	C₄²	C₂²×C₄×C₃₁	1	8	yes	—
829	C₂³	—	2	1	no	—
830	C₂³	—	2	1	no	—
831	C₂³	—	2	1	no	—
832	C₂³	—	2	1	no	—
833	C₂³	—	2	2	no	—
834	C₂³	—	2	2	no	—
835	C₂³	—	2	2	no	—
836	C₂³	—	2	2	no	—
837	C₂³	—	2	2	no	—
838	C₂³	—	2	2	no	—
839	C₂³	—	2	2	no	—
840	C₂³	—	2	2	no	—
841	C₂³	—	2	2	no	—
842	C₂³	—	2	2	no	—
843	C₂³	—	2	2	no	—
844	C₂³	—	2	2	no	—
845	C₂³	—	2	8	no	—
846	C₂³	—	4	4	no	—
847	C₂³	—	4	4	no	—
848	C₂³	—	8	2	no	—
849	C₂³	—	8	2	no	—
850	C₂³	—	8	2	no	—
851	C₂³	—	8	2	no	—
852	C₂³	C₂³×C₄×C₃₁	1	4	yes	—
853	C₂³	C₂³×C₄×C₃₁	1	4	yes	—
854	C₂³	C₂³×C₄×C₃₁	1	2	yes	—
855	C₂³	C₃₁×H(5,𝔽₂)	1	2	yes	—
856	C₂³	C₃₁×2₋¹⁺⁴	1	2	yes	—
857	C₂³	C₂⁵×C₃₁	1	1	yes	characteristic
858	Q₈	—	4	4	no	—
859	D₄	—	2	16	no	—
860	D₄	—	4	8	no	—
861	D₄	—	4	4	no	—
862	D₄	—	4	8	no	—
863	C₂×C₄	—	2	1	no	—
864	C₂×C₄	—	2	1	no	—
865	C₂×C₄	—	2	2	no	—
866	C₂×C₄	—	2	1	no	—
867	C₂×C₄	—	2	2	no	—
868	C₂×C₄	—	2	2	no	—
869	C₂×C₄	—	2	1	no	—
870	C₂×C₄	—	2	2	no	—
871	C₂×C₄	—	2	1	no	—
872	C₂×C₄	—	2	2	no	—
873	C₂×C₄	—	2	2	no	—
874	C₂×C₄	—	2	2	no	—
875	C₂×C₄	—	2	1	no	—
876	C₂×C₄	—	2	1	no	—
877	C₂×C₄	—	2	2	no	—
878	C₂×C₄	—	2	1	no	—
879	C₂×C₄	—	2	1	no	—
880	C₂×C₄	—	2	2	no	—
881	C₂×C₄	—	2	1	no	—
882	C₂×C₄	—	2	2	no	—
883	C₂×C₄	—	2	2	no	—
884	C₂×C₄	—	2	2	no	—
885	C₂×C₄	—	2	2	no	—
886	C₂×C₄	—	2	2	no	—
887	C₂×C₄	—	2	2	no	—
888	C₂×C₄	—	2	2	no	—
889	C₂×C₄	—	2	2	no	—
890	C₂×C₄	—	2	2	no	—
891	C₂×C₄	—	2	2	no	—
892	C₂×C₄	—	2	2	no	—
893	C₂×C₄	—	2	1	no	—
894	C₂×C₄	—	2	1	no	—
895	C₂×C₄	—	2	1	no	—
896	C₂×C₄	—	2	2	no	—
897	C₂×C₄	—	2	1	no	—
898	C₂×C₄	—	2	2	no	—
899	C₂×C₄	—	2	2	no	—
900	C₂×C₄	—	2	2	no	—
901	C₂×C₄	—	2	2	no	—
902	C₂×C₄	—	2	2	no	—
903	C₂×C₄	—	4	4	no	—
904	C₂×C₄	—	4	8	no	—
905	C₂×C₄	—	4	4	no	—
906	C₂×C₄	—	4	4	no	—
907	C₂×C₄	—	4	4	no	—
908	C₂×C₄	—	8	4	no	—
909	C₂×C₄	—	8	2	no	—
910	C₂×C₄	—	8	2	no	—
911	C₂×C₄	—	8	4	no	—
912	C₂×C₄	—	8	4	no	—
913	C₂×C₄	—	8	4	no	—
914	C₂×C₄	C₂³×C₄×C₃₁	1	4	yes	—
915	C₂×C₄	C₂³×C₄×C₃₁	1	4	yes	—
916	C₂×C₄	C₂³×C₄×C₃₁	1	4	yes	—
917	C₂×C₄	C₂³×C₄×C₃₁	1	2	yes	—
918	C₂×C₄	C₂³×C₄×C₃₁	1	2	yes	—
919	C₂×C₄	C₂³×C₄×C₃₁	1	4	yes	—
920	C₂×C₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
921	C₂×C₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
922	C₂²	—	2	2	no	—
923	C₂²	—	2	2	no	—
924	C₂²	—	2	2	no	—
925	C₂²	—	2	2	no	—
926	C₂²	—	2	2	no	—
927	C₂²	—	2	2	no	—
928	C₂²	—	2	4	no	—
929	C₂²	—	2	4	no	—
930	C₂²	—	2	4	no	—
931	C₂²	—	2	4	no	—
932	C₂²	—	2	4	no	—
933	C₂²	—	2	4	no	—
934	C₂²	—	4	2	no	—
935	C₂²	—	4	2	no	—
936	C₂²	—	4	2	no	—
937	C₂²	—	4	2	no	—
938	C₂²	—	4	2	no	—
939	C₂²	—	4	2	no	—
940	C₂²	—	4	2	no	—
941	C₂²	—	4	2	no	—
942	C₂²	—	8	8	no	—
943	C₂²	C₃₁×#520	1	4	yes	—
944	C₂²	C₂⁴×C₄×C₃₁	1	1	yes	characteristic
945	C₂²	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
946	C₂²	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
947	C₂²	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
948	C₂²	C₂×C₃₁×2₋¹⁺⁴	1	1	yes	characteristic
949	C₂²	C₃₁×#585	1	1	yes	characteristic
950	C₂²	C₃₁×#585	1	1	yes	characteristic
951	C₄	—	2	4	no	—
952	C₄	—	2	4	no	—
953	C₄	—	2	4	no	—
954	C₄	—	2	2	no	—
955	C₄	—	2	2	no	—
956	C₄	—	2	4	no	—
957	C₄	—	2	2	no	—
958	C₄	—	2	2	no	—
959	C₄	—	4	1	no	—
960	C₄	—	4	2	no	—
961	C₄	—	4	2	no	—
962	C₄	—	4	1	no	—
963	C₄	—	4	2	no	—
964	C₄	—	4	2	no	—
965	C₄	—	4	2	no	—
966	C₄	—	4	2	no	—
967	C₂	—	2	4	no	—
968	C₂	—	4	4	no	—
969	C₂	—	4	4	no	—
970	C₂	C₂×C₃₁×#520	1	1	yes	characteristic
971	C₂	C₄×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
972	C₂	C₄×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
973	C₂	C₃₁×#3534	1	1	yes	characteristic
974	C₂	C₃₁×#3536	1	1	yes	characteristic
975	C₂	C₃₁×#3558	1	1	yes	characteristic
976	C₂	C₃₁×#3564	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃₁	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₃₁
Frattini, cosocle	C₂³	C₂⁵×C₃₁
prime radical	C₂×C₃₁×#538	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₃₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₃₁×#2379	C₂	semidirect
3. C₃₁×#2376	C₂	semidirect
4. C₃₁×#2367	C₂	semidirect
5. C₃₁×#2359	C₂	semidirect
6. C₃₁×#2358	C₂	semidirect
7. C₃₁×#2358	C₂	semidirect
8. C₃₁×#2352	C₂	semidirect
9. C₃₁×#2349	C₂	semidirect
10. C₃₁×#2334	C₂	semidirect
11. C₃₁×#2334	C₂	semidirect
12. C₃₁×#2329	C₂	semidirect
13. C₃₁×#2325	C₂	semidirect
14. C₃₁×#2325	C₂	semidirect
15. C₃₁×#2324	C₂	semidirect
16. C₃₁×#2315	C₂	semidirect
17. C₄×C₃₁×C₂²⋊Q₈	C₂	semidirect
18. C₄×C₃₁×#121	C₂	semidirect
19. C₂×C₃₁×#388	C₂	semidirect
20. C₃₁×#538	C₄	semidirect
28. C₂×C₄×Q₈×C₃₁	C₂²	semidirect
34. C₂×C₄×D₄×C₃₁	C₂²	semidirect
35. C₂×C₃₁×#117	C₂²	semidirect
42. C₃₁×#391	C₂²	semidirect
43. C₃₁×#391	C₂²	semidirect
46. C₃₁×#390	C₂²	semidirect
47. C₃₁×#389	C₂²	semidirect
48. C₃₁×#389	C₂²	semidirect
49. C₃₁×#389	C₂²	semidirect
50. C₃₁×#389	C₂²	semidirect
51. C₃₁×#389	C₂²	semidirect
60. C₃₁×#388	C₂²	semidirect
61. C₃₁×#388	C₂²	semidirect
62. C₃₁×#388	C₂²	semidirect
63. C₃₁×#388	C₂²	semidirect
64. C₃₁×#387	C₂²	semidirect
65. C₃₁×#387	C₂²	semidirect
66. C₃₁×#387	C₂²	semidirect
67. C₃₁×#387	C₂²	semidirect
68. C₃₁×#387	C₂²	semidirect
69. C₃₁×#387	C₂²	semidirect
76. C₃₁×#386	C₂²	semidirect
85. C₃₁×#385	C₂²	semidirect
86. C₃₁×#385	C₂²	semidirect
87. C₃₁×#385	C₂²	semidirect
88. C₃₁×#382	C₂²	semidirect
89. C₃₁×#382	C₂²	semidirect
93. C₃₁×#380	C₂²	semidirect
94. C₃₁×#380	C₂²	semidirect
95. C₄×C₄⋊C₄×C₃₁	C₂²	semidirect
96. C₄×C₄⋊C₄×C₃₁	C₂²	semidirect
97. C₄×C₄⋊C₄×C₃₁	C₂²	semidirect
98. C₄×C₄⋊C₄×C₃₁	C₂²	semidirect
99. C₄×C₄⋊C₄×C₃₁	C₂²	semidirect
104. C₄×C₂²⋊C₄×C₃₁	C₂²	semidirect
107. C₂×C₃₁×#95	C₂²	semidirect
125. C₃₁×#126	C₂×C₄	semidirect
126. C₃₁×#124	C₂×C₄	semidirect
127. C₃₁×#123	C₂×C₄	semidirect
128. C₃₁×C₂²⋊Q₈	C₂×C₄	semidirect
129. C₃₁×#121	C₂×C₄	semidirect
130. C₃₁×#121	C₂×C₄	semidirect
131. C₃₁×#120	C₂×C₄	semidirect
138. C₄×D₄×C₃₁	C₂×C₄	semidirect
162. C₂×C₂²⋊C₄×C₃₁	C₂×C₄	semidirect
340. #34424	C₃₁	direct (N × H)
435. #2379	C₂×C₃₁	semidirect
436. #2376	C₂×C₃₁	semidirect
437. #2367	C₂×C₃₁	semidirect
438. #2359	C₂×C₃₁	semidirect
439. #2358	C₂×C₃₁	semidirect
440. #2358	C₂×C₃₁	semidirect
441. #2352	C₂×C₃₁	semidirect
442. #2349	C₂×C₃₁	semidirect
443. #2334	C₂×C₃₁	semidirect
444. #2334	C₂×C₃₁	semidirect
445. #2329	C₂×C₃₁	semidirect
446. #2325	C₂×C₃₁	semidirect
447. #2325	C₂×C₃₁	semidirect
448. #2324	C₂×C₃₁	semidirect
449. #2315	C₂×C₃₁	semidirect
450. C₄×C₂²⋊Q₈	C₂×C₃₁	semidirect
451. C₄×#121	C₂×C₃₁	semidirect
452. C₂×#388	C₂×C₃₁	semidirect
498. #538	C₄×C₃₁	semidirect
506. C₂×C₄×Q₈	C₂²×C₃₁	semidirect
512. C₂×C₄×D₄	C₂²×C₃₁	semidirect
513. C₂×#117	C₂²×C₃₁	semidirect
520. #391	C₂²×C₃₁	semidirect
521. #391	C₂²×C₃₁	semidirect
524. #390	C₂²×C₃₁	semidirect
525. #389	C₂²×C₃₁	semidirect
526. #389	C₂²×C₃₁	semidirect
527. #389	C₂²×C₃₁	semidirect
528. #389	C₂²×C₃₁	semidirect
529. #389	C₂²×C₃₁	semidirect
538. #388	C₂²×C₃₁	semidirect
539. #388	C₂²×C₃₁	semidirect
540. #388	C₂²×C₃₁	semidirect
541. #388	C₂²×C₃₁	semidirect
542. #387	C₂²×C₃₁	semidirect
543. #387	C₂²×C₃₁	semidirect
544. #387	C₂²×C₃₁	semidirect
545. #387	C₂²×C₃₁	semidirect
546. #387	C₂²×C₃₁	semidirect
547. #387	C₂²×C₃₁	semidirect
554. #386	C₂²×C₃₁	semidirect
563. #385	C₂²×C₃₁	semidirect
564. #385	C₂²×C₃₁	semidirect
565. #385	C₂²×C₃₁	semidirect
566. #382	C₂²×C₃₁	semidirect
567. #382	C₂²×C₃₁	semidirect
571. #380	C₂²×C₃₁	semidirect
572. #380	C₂²×C₃₁	semidirect
573. C₄×C₄⋊C₄	C₂²×C₃₁	semidirect
574. C₄×C₄⋊C₄	C₂²×C₃₁	semidirect
575. C₄×C₄⋊C₄	C₂²×C₃₁	semidirect
576. C₄×C₄⋊C₄	C₂²×C₃₁	semidirect
577. C₄×C₄⋊C₄	C₂²×C₃₁	semidirect
582. C₄×C₂²⋊C₄	C₂²×C₃₁	semidirect
585. C₂×#95	C₂²×C₃₁	semidirect
613. #126	C₂×C₄×C₃₁	semidirect
614. #124	C₂×C₄×C₃₁	semidirect
615. #123	C₂×C₄×C₃₁	semidirect
616. C₂²⋊Q₈	C₂×C₄×C₃₁	semidirect
617. #121	C₂×C₄×C₃₁	semidirect
618. #121	C₂×C₄×C₃₁	semidirect
619. #120	C₂×C₄×C₃₁	semidirect
626. C₄×D₄	C₂×C₄×C₃₁	semidirect
650. C₂×C₂²⋊C₄	C₂×C₄×C₃₁	semidirect
704. C₃₁	#34424	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃₁×#538	2
C₃₁×#2379	2
C₃₁×#2376	2
C₃₁×#2367	2
C₃₁×#2359	2
C₃₁×#2358	2
C₃₁×#2352	2
C₃₁×#2349	2
C₃₁×#2334	2
C₃₁×#2329	2
C₃₁×#2325	2
C₃₁×#2324	2
C₃₁×#2315	2
C₄×C₃₁×C₂²⋊Q₈	2
C₄×C₃₁×#121	2
C₂×C₃₁×#388	2
#34424	31

Subgroups — C31×#34424 #21491183

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#34424 #21491183