Subgroups — C₃₁×#34517 #21491276

Order 7936.

2464 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₁×#560	C₂	1	1	yes	maximal, characteristic
2	C₃₁×#2377	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#2377	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#2376	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#2373	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#2373	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#2366	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#2364	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#2364	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#2363	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#2363	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#2359	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#2359	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#2358	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#2358	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#2358	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#2335	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#2335	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#2334	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#2334	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#2328	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#2325	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#2325	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#2324	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#2324	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#2321	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#2321	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#2321	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₃₁×#123	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₃₁×#121	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₃₁×#121	C₂	1	1	yes	maximal, characteristic, complemented
32	C₃₁×#560	C₄	1	16	yes	complemented
33	C₂×C₃₁×#127	C₂²	1	1	yes	characteristic
34	C₂×C₃₁×#126	C₂²	1	1	yes	characteristic
35	C₂×C₃₁×#126	C₂²	1	1	yes	characteristic
36	C₂×C₃₁×#123	C₂²	1	1	yes	characteristic
37	C₂×C₃₁×#123	C₂²	1	1	yes	characteristic
38	C₂×C₃₁×#123	C₂²	1	1	yes	characteristic
39	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic
40	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic
41	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic
42	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic
43	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic
44	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic
45	C₂×C₃₁×#120	C₂²	1	1	yes	characteristic
46	C₂×C₃₁×#120	C₂²	1	1	yes	characteristic
47	C₂×C₃₁×#120	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
51	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
52	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
53	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₃₁×#117	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₃₁×#117	C₂²	1	1	yes	characteristic, complemented
62	C₂²×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
63	C₂²×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
64	C₂²×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
65	C₂²×C₄²×C₃₁	C₂²	1	1	yes	characteristic, complemented
66	C₃₁×#390	C₂²	1	1	yes	characteristic
67	C₃₁×#390	C₂²	1	1	yes	characteristic
68	C₃₁×#390	C₂²	1	1	yes	characteristic
69	C₃₁×#390	C₂²	1	1	yes	characteristic
70	C₃₁×#390	C₂²	1	1	yes	characteristic
71	C₃₁×#390	C₂²	1	1	yes	characteristic
72	C₃₁×#390	C₂²	1	1	yes	characteristic
73	C₃₁×#390	C₂²	1	1	yes	characteristic
74	C₃₁×#390	C₂²	1	1	yes	characteristic
75	C₃₁×#390	C₂²	1	1	yes	characteristic, complemented
76	C₃₁×#390	C₂²	1	1	yes	characteristic, complemented
77	C₃₁×#390	C₂²	1	1	yes	characteristic, complemented
78	C₃₁×#389	C₂²	1	1	yes	characteristic, complemented
79	C₃₁×#389	C₂²	1	1	yes	characteristic, complemented
80	C₃₁×#389	C₂²	1	1	yes	characteristic, complemented
81	C₃₁×#389	C₂²	1	1	yes	characteristic, complemented
82	C₃₁×#389	C₂²	1	1	yes	characteristic, complemented
83	C₃₁×#389	C₂²	1	1	yes	characteristic, complemented
84	C₃₁×#388	C₂²	1	1	yes	characteristic
85	C₃₁×#388	C₂²	1	1	yes	characteristic
86	C₃₁×#388	C₂²	1	1	yes	characteristic
87	C₃₁×#388	C₂²	1	1	yes	characteristic
88	C₃₁×#388	C₂²	1	1	yes	characteristic
89	C₃₁×#388	C₂²	1	1	yes	characteristic
90	C₃₁×#388	C₂²	1	1	yes	characteristic
91	C₃₁×#388	C₂²	1	1	yes	characteristic
92	C₃₁×#388	C₂²	1	1	yes	characteristic
93	C₃₁×#388	C₂²	1	1	yes	characteristic
94	C₃₁×#388	C₂²	1	1	yes	characteristic
95	C₃₁×#388	C₂²	1	1	yes	characteristic
96	C₃₁×#388	C₂²	1	1	yes	characteristic
97	C₃₁×#388	C₂²	1	1	yes	characteristic
98	C₃₁×#388	C₂²	1	1	yes	characteristic
99	C₃₁×#388	C₂²	1	1	yes	characteristic
100	C₃₁×#388	C₂²	1	1	yes	characteristic
101	C₃₁×#388	C₂²	1	1	yes	characteristic
102	C₃₁×#388	C₂²	1	1	yes	characteristic, complemented
103	C₃₁×#388	C₂²	1	1	yes	characteristic, complemented
104	C₃₁×#388	C₂²	1	1	yes	characteristic, complemented
105	C₃₁×#388	C₂²	1	1	yes	characteristic, complemented
106	C₃₁×#388	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#388	C₂²	1	1	yes	characteristic, complemented
108	C₃₁×#387	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#387	C₂²	1	1	yes	characteristic, complemented
110	C₃₁×#387	C₂²	1	1	yes	characteristic, complemented
111	C₃₁×#387	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#387	C₂²	1	1	yes	characteristic, complemented
113	C₃₁×#387	C₂²	1	1	yes	characteristic, complemented
114	C₃₁×#387	C₂²	1	1	yes	characteristic, complemented
115	C₃₁×#387	C₂²	1	1	yes	characteristic, complemented
116	C₃₁×#387	C₂²	1	1	yes	characteristic, complemented
117	C₃₁×#387	C₂²	1	1	yes	characteristic, complemented
118	C₃₁×#387	C₂²	1	1	yes	characteristic, complemented
119	C₃₁×#387	C₂²	1	1	yes	characteristic, complemented
120	C₃₁×#386	C₂²	1	1	yes	characteristic
121	C₃₁×#386	C₂²	1	1	yes	characteristic
122	C₃₁×#386	C₂²	1	1	yes	characteristic
123	C₃₁×#386	C₂²	1	1	yes	characteristic
124	C₃₁×#386	C₂²	1	1	yes	characteristic
125	C₃₁×#386	C₂²	1	1	yes	characteristic
126	C₃₁×#386	C₂²	1	1	yes	characteristic
127	C₃₁×#386	C₂²	1	1	yes	characteristic
128	C₃₁×#386	C₂²	1	1	yes	characteristic
129	C₃₁×#386	C₂²	1	1	yes	characteristic
130	C₃₁×#386	C₂²	1	1	yes	characteristic
131	C₃₁×#386	C₂²	1	1	yes	characteristic
132	C₃₁×#386	C₂²	1	1	yes	characteristic
133	C₃₁×#386	C₂²	1	1	yes	characteristic
134	C₃₁×#386	C₂²	1	1	yes	characteristic
135	C₃₁×#386	C₂²	1	1	yes	characteristic
136	C₃₁×#386	C₂²	1	1	yes	characteristic
137	C₃₁×#386	C₂²	1	1	yes	characteristic
138	C₃₁×#386	C₂²	1	1	yes	characteristic, complemented
139	C₃₁×#386	C₂²	1	1	yes	characteristic, complemented
140	C₃₁×#386	C₂²	1	1	yes	characteristic, complemented
141	C₃₁×#386	C₂²	1	1	yes	characteristic, complemented
142	C₃₁×#386	C₂²	1	1	yes	characteristic, complemented
143	C₃₁×#386	C₂²	1	1	yes	characteristic, complemented
144	C₃₁×#385	C₂²	1	1	yes	characteristic
145	C₃₁×#385	C₂²	1	1	yes	characteristic
146	C₃₁×#385	C₂²	1	1	yes	characteristic
147	C₃₁×#385	C₂²	1	1	yes	characteristic
148	C₃₁×#385	C₂²	1	1	yes	characteristic
149	C₃₁×#385	C₂²	1	1	yes	characteristic
150	C₃₁×#385	C₂²	1	1	yes	characteristic
151	C₃₁×#385	C₂²	1	1	yes	characteristic
152	C₃₁×#385	C₂²	1	1	yes	characteristic
153	C₃₁×#385	C₂²	1	1	yes	characteristic, complemented
154	C₃₁×#385	C₂²	1	1	yes	characteristic, complemented
155	C₃₁×#385	C₂²	1	1	yes	characteristic, complemented
156	C₃₁×#382	C₂²	1	1	yes	characteristic, complemented
157	C₃₁×#381	C₂²	1	1	yes	characteristic, complemented
158	C₃₁×#380	C₂²	1	1	yes	characteristic, complemented
159	C₃₁×#380	C₂²	1	1	yes	characteristic, complemented
160	C₃₁×#380	C₂²	1	1	yes	characteristic, complemented
161	C₃₁×#380	C₂²	1	1	yes	characteristic, complemented
162	C₃₁×#379	C₂²	1	1	yes	characteristic
163	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
164	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
165	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
166	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
167	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
168	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
169	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
170	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
171	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
172	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
173	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
174	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
175	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
176	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
177	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
178	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
179	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
180	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
185	C₃₁×#376	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₃₁×#95	C₂²	1	1	yes	characteristic, complemented
187	C₂×C₃₁×#95	C₂²	1	1	yes	characteristic, complemented
188	C₂⁵×C₃₁	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
193	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
195	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
197	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
198	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
199	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
200	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
216	C₃₁×#127	C₂×C₄	1	8	yes	complemented
217	C₃₁×#126	C₂×C₄	1	8	yes	complemented
218	C₃₁×#126	C₂×C₄	1	8	yes	complemented
219	C₃₁×#123	C₂×C₄	1	8	yes	complemented
220	C₃₁×#123	C₂×C₄	1	8	yes	complemented
221	C₃₁×#123	C₂×C₄	1	8	yes	complemented
222	C₃₁×#121	C₂×C₄	1	8	yes	complemented
223	C₃₁×#121	C₂×C₄	1	8	yes	complemented
224	C₃₁×#121	C₂×C₄	1	8	yes	complemented
225	C₃₁×#121	C₂×C₄	1	8	yes	complemented
226	C₃₁×#121	C₂×C₄	1	8	yes	complemented
227	C₃₁×#121	C₂×C₄	1	8	yes	complemented
228	C₃₁×#120	C₂×C₄	1	8	yes	complemented
229	C₃₁×#120	C₂×C₄	1	8	yes	complemented
230	C₃₁×#120	C₂×C₄	1	8	yes	complemented
231	C₄×D₄×C₃₁	—	4	2	no	—
232	C₄×D₄×C₃₁	—	4	2	no	—
233	C₄×D₄×C₃₁	—	4	2	no	—
234	C₄×D₄×C₃₁	—	4	2	no	—
235	C₄×D₄×C₃₁	—	4	2	no	—
236	C₄×D₄×C₃₁	—	4	2	no	—
237	C₄×D₄×C₃₁	—	4	2	no	—
238	C₄×D₄×C₃₁	—	4	2	no	—
239	C₄×D₄×C₃₁	—	4	2	no	—
240	C₄×D₄×C₃₁	—	4	2	no	—
241	C₄×D₄×C₃₁	—	4	2	no	—
242	C₄×D₄×C₃₁	—	4	2	no	—
243	C₃₁×#117	—	4	2	no	—
244	C₃₁×#117	—	4	2	no	—
245	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₄×C₃₁	—	4	2	no	—
270	C₂×C₂²⋊C₄×C₃₁	—	4	2	no	—
271	C₂×C₂²⋊C₄×C₃₁	—	4	2	no	—
272	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
320	C₂×C₄²×C₃₁	—	4	2	no	—
321	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
322	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
323	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
324	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
325	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
326	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
327	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
328	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
329	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
330	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
340	C₃₁×#95	C₂³	1	1	yes	characteristic
341	C₃₁×#95	C₂³	1	1	yes	characteristic
342	C₃₁×#95	C₂³	1	1	yes	characteristic
343	C₃₁×#95	C₂³	1	1	yes	characteristic
344	C₃₁×#95	C₂³	1	1	yes	characteristic
345	C₃₁×#95	C₂³	1	1	yes	characteristic
346	C₃₁×#95	C₂³	1	1	yes	characteristic
347	C₃₁×#95	C₂³	1	1	yes	characteristic
348	C₃₁×#95	C₂³	1	1	yes	characteristic
349	C₃₁×#95	C₂³	1	1	yes	characteristic
350	C₃₁×#95	C₂³	1	1	yes	characteristic
351	C₃₁×#95	C₂³	1	1	yes	characteristic
352	C₃₁×#95	C₂³	1	1	yes	characteristic
353	C₃₁×#95	C₂³	1	1	yes	characteristic
354	C₃₁×#95	C₂³	1	1	yes	characteristic
355	C₃₁×#95	C₂³	1	1	yes	characteristic
356	C₃₁×#95	C₂³	1	1	yes	characteristic
357	C₃₁×#95	C₂³	1	1	yes	characteristic
358	C₃₁×#95	C₂³	1	1	yes	characteristic
359	C₃₁×#95	C₂³	1	1	yes	characteristic
360	C₃₁×#95	C₂³	1	1	yes	characteristic
361	C₃₁×#95	C₂³	1	1	yes	characteristic
362	C₃₁×#95	C₂³	1	1	yes	characteristic
363	C₃₁×#95	C₂³	1	1	yes	characteristic
364	C₃₁×#95	C₂³	1	1	yes	characteristic
365	C₃₁×#95	C₂³	1	1	yes	characteristic
366	C₃₁×#95	C₂³	1	1	yes	characteristic
367	C₃₁×#95	C₂³	1	1	yes	characteristic
368	C₃₁×#95	C₂³	1	1	yes	characteristic
369	C₃₁×#95	C₂³	1	1	yes	characteristic
370	C₃₁×#95	C₂³	1	1	yes	characteristic
371	C₃₁×#95	C₂³	1	1	yes	characteristic
372	C₃₁×#95	C₂³	1	1	yes	characteristic
373	C₃₁×#95	C₂³	1	1	yes	characteristic
374	C₃₁×#95	C₂³	1	1	yes	characteristic
375	C₃₁×#95	C₂³	1	1	yes	characteristic
376	C₂⁴×C₃₁	—	4	1	no	—
377	C₂⁴×C₃₁	—	4	1	no	—
378	C₂⁴×C₃₁	—	4	1	no	—
379	C₂⁴×C₃₁	—	4	1	no	—
380	C₂⁴×C₃₁	—	4	1	no	—
381	C₂⁴×C₃₁	—	4	1	no	—
382	C₂⁴×C₃₁	C₂²×C₄	1	4	yes	—
383	C₂⁴×C₃₁	C₂⁴	1	1	yes	characteristic
384	C₂⁴×C₃₁	C₂⁴	1	1	yes	characteristic
385	C₂⁴×C₃₁	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₃₁	C₂⁴	1	1	yes	characteristic
387	C₂⁴×C₃₁	C₂⁴	1	1	yes	characteristic
388	C₂⁴×C₃₁	C₂⁴	1	1	yes	characteristic
389	C₂×D₄×C₃₁	—	4	1	no	—
390	C₂×D₄×C₃₁	—	4	1	no	—
391	C₂×D₄×C₃₁	—	4	1	no	—
392	C₂×D₄×C₃₁	—	4	1	no	—
393	C₂×D₄×C₃₁	—	4	1	no	—
394	C₂×D₄×C₃₁	—	4	1	no	—
395	C₂×D₄×C₃₁	—	4	1	no	—
396	C₂×D₄×C₃₁	—	4	1	no	—
397	C₂×D₄×C₃₁	—	4	1	no	—
398	C₂×D₄×C₃₁	—	4	1	no	—
399	C₂×D₄×C₃₁	—	4	1	no	—
400	C₂×D₄×C₃₁	—	4	1	no	—
401	C₂×D₄×C₃₁	—	4	1	no	—
402	C₂×D₄×C₃₁	—	4	1	no	—
403	C₂×D₄×C₃₁	—	4	1	no	—
404	C₂×D₄×C₃₁	—	4	1	no	—
405	C₂×D₄×C₃₁	—	4	1	no	—
406	C₂×D₄×C₃₁	—	4	1	no	—
407	C₂×D₄×C₃₁	—	4	1	no	—
408	C₂×D₄×C₃₁	—	4	1	no	—
409	C₂×D₄×C₃₁	—	4	1	no	—
410	C₂×D₄×C₃₁	—	4	1	no	—
411	C₂×D₄×C₃₁	—	4	1	no	—
412	C₂×D₄×C₃₁	—	4	1	no	—
413	C₂×D₄×C₃₁	C₂²×C₄	1	4	yes	—
414	C₂×D₄×C₃₁	C₂²×C₄	1	4	yes	—
415	C₂×D₄×C₃₁	C₂²×C₄	1	4	yes	—
416	C₂×D₄×C₃₁	C₂²×C₄	1	4	yes	—
417	C₂×D₄×C₃₁	C₂²×C₄	1	4	yes	—
418	C₂×D₄×C₃₁	C₂²×C₄	1	4	yes	—
419	C₂×D₄×C₃₁	C₂²×C₄	1	4	yes	—
420	C₂×D₄×C₃₁	C₂²×C₄	1	4	yes	—
421	C₂×D₄×C₃₁	C₂²×C₄	1	4	yes	—
422	C₂×D₄×C₃₁	C₂²×C₄	1	4	yes	—
423	C₂×D₄×C₃₁	C₂²×C₄	1	4	yes	—
424	C₂×D₄×C₃₁	C₂²×C₄	1	4	yes	—
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	C₂²×C₄×C₃₁	—	2	2	no	—
430	C₂²×C₄×C₃₁	—	2	2	no	—
431	C₂²×C₄×C₃₁	—	2	2	no	—
432	C₂²×C₄×C₃₁	—	2	2	no	—
433	C₂²×C₄×C₃₁	—	4	1	no	—
434	C₂²×C₄×C₃₁	—	4	1	no	—
435	C₂²×C₄×C₃₁	—	4	1	no	—
436	C₂²×C₄×C₃₁	—	4	1	no	—
437	C₂²×C₄×C₃₁	—	4	1	no	—
438	C₂²×C₄×C₃₁	—	4	1	no	—
439	C₂²×C₄×C₃₁	—	4	1	no	—
440	C₂²×C₄×C₃₁	—	4	1	no	—
441	C₂²×C₄×C₃₁	—	4	1	no	—
442	C₂²×C₄×C₃₁	—	4	1	no	—
443	C₂²×C₄×C₃₁	—	4	1	no	—
444	C₂²×C₄×C₃₁	—	4	1	no	—
445	C₂²×C₄×C₃₁	—	4	1	no	—
446	C₂²×C₄×C₃₁	—	4	1	no	—
447	C₂²×C₄×C₃₁	—	4	1	no	—
448	C₂²×C₄×C₃₁	—	4	1	no	—
449	C₂²×C₄×C₃₁	—	4	1	no	—
450	C₂²×C₄×C₃₁	—	4	1	no	—
451	C₂²×C₄×C₃₁	—	4	1	no	—
452	C₂²×C₄×C₃₁	—	4	1	no	—
453	C₂²×C₄×C₃₁	—	4	1	no	—
454	C₂²×C₄×C₃₁	—	4	1	no	—
455	C₂²×C₄×C₃₁	—	4	1	no	—
456	C₂²×C₄×C₃₁	—	4	1	no	—
457	C₂²×C₄×C₃₁	—	4	1	no	—
458	C₂²×C₄×C₃₁	—	4	1	no	—
459	C₂²×C₄×C₃₁	—	4	1	no	—
460	C₂²×C₄×C₃₁	—	4	1	no	—
461	C₂²×C₄×C₃₁	—	4	1	no	—
462	C₂²×C₄×C₃₁	—	4	1	no	—
463	C₂²×C₄×C₃₁	—	4	1	no	—
464	C₂²×C₄×C₃₁	—	4	1	no	—
465	C₂²×C₄×C₃₁	—	4	1	no	—
466	C₂²×C₄×C₃₁	—	4	1	no	—
467	C₂²×C₄×C₃₁	C₂²×C₄	1	4	yes	—
468	C₂²×C₄×C₃₁	C₂²×C₄	1	4	yes	—
469	C₂²×C₄×C₃₁	C₂²×C₄	1	4	yes	—
470	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
495	C₄⋊C₄×C₃₁	—	2	2	no	—
496	C₄⋊C₄×C₃₁	—	2	2	no	—
497	C₄⋊C₄×C₃₁	—	2	2	no	—
498	C₄⋊C₄×C₃₁	—	2	2	no	—
499	C₄⋊C₄×C₃₁	—	4	1	no	—
500	C₄⋊C₄×C₃₁	—	4	1	no	—
501	C₄⋊C₄×C₃₁	—	4	1	no	—
502	C₄⋊C₄×C₃₁	—	4	1	no	—
503	C₄⋊C₄×C₃₁	—	4	1	no	—
504	C₄⋊C₄×C₃₁	—	4	1	no	—
505	C₄⋊C₄×C₃₁	—	4	1	no	—
506	C₄⋊C₄×C₃₁	—	4	1	no	—
507	C₄⋊C₄×C₃₁	—	4	1	no	—
508	C₄⋊C₄×C₃₁	—	4	1	no	—
509	C₄⋊C₄×C₃₁	—	4	1	no	—
510	C₄⋊C₄×C₃₁	—	4	1	no	—
511	C₄⋊C₄×C₃₁	—	4	1	no	—
512	C₄⋊C₄×C₃₁	—	4	1	no	—
513	C₄⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
514	C₄⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
515	C₄⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
516	C₄⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
517	C₄⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
518	C₄⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
519	C₂²⋊C₄×C₃₁	—	2	2	no	—
520	C₂²⋊C₄×C₃₁	—	2	2	no	—
521	C₂²⋊C₄×C₃₁	—	2	2	no	—
522	C₂²⋊C₄×C₃₁	—	2	2	no	—
523	C₂²⋊C₄×C₃₁	—	2	2	no	—
524	C₂²⋊C₄×C₃₁	—	2	2	no	—
525	C₂²⋊C₄×C₃₁	—	2	2	no	—
526	C₂²⋊C₄×C₃₁	—	2	2	no	—
527	C₂²⋊C₄×C₃₁	—	2	2	no	—
528	C₂²⋊C₄×C₃₁	—	2	2	no	—
529	C₂²⋊C₄×C₃₁	—	4	1	no	—
530	C₂²⋊C₄×C₃₁	—	4	1	no	—
531	C₂²⋊C₄×C₃₁	—	4	1	no	—
532	C₂²⋊C₄×C₃₁	—	4	1	no	—
533	C₂²⋊C₄×C₃₁	—	4	1	no	—
534	C₂²⋊C₄×C₃₁	—	4	1	no	—
535	C₂²⋊C₄×C₃₁	—	4	1	no	—
536	C₂²⋊C₄×C₃₁	—	4	1	no	—
537	C₂²⋊C₄×C₃₁	—	4	1	no	—
538	C₂²⋊C₄×C₃₁	—	4	1	no	—
539	C₂²⋊C₄×C₃₁	—	4	1	no	—
540	C₂²⋊C₄×C₃₁	—	4	1	no	—
541	C₂²⋊C₄×C₃₁	—	4	1	no	—
542	C₂²⋊C₄×C₃₁	—	4	1	no	—
543	C₂²⋊C₄×C₃₁	—	4	1	no	—
544	C₂²⋊C₄×C₃₁	—	4	1	no	—
545	C₂²⋊C₄×C₃₁	—	4	1	no	—
546	C₂²⋊C₄×C₃₁	—	4	1	no	—
547	C₂²⋊C₄×C₃₁	—	4	1	no	—
548	C₂²⋊C₄×C₃₁	—	4	1	no	—
549	C₂²⋊C₄×C₃₁	—	4	1	no	—
550	C₂²⋊C₄×C₃₁	—	4	1	no	—
551	C₂²⋊C₄×C₃₁	—	4	1	no	—
552	C₂²⋊C₄×C₃₁	—	4	1	no	—
553	C₂²⋊C₄×C₃₁	—	4	1	no	—
554	C₂²⋊C₄×C₃₁	—	4	1	no	—
555	C₂²⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
556	C₂²⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
557	C₂²⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
558	C₂²⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
559	C₂²⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
560	C₂²⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
561	C₂²⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
562	C₂²⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
563	C₂²⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
564	C₂²⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
565	C₂²⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
566	C₂²⋊C₄×C₃₁	C₂²×C₄	1	4	yes	—
567	C₄²×C₃₁	—	2	2	no	—
568	C₄²×C₃₁	—	2	2	no	—
569	C₄²×C₃₁	—	2	2	no	—
570	C₄²×C₃₁	—	2	2	no	—
571	C₄²×C₃₁	—	2	2	no	—
572	C₄²×C₃₁	—	4	1	no	—
573	C₄²×C₃₁	—	4	1	no	—
574	C₄²×C₃₁	—	4	1	no	—
575	C₄²×C₃₁	—	4	1	no	—
576	C₄²×C₃₁	—	4	1	no	—
577	C₄²×C₃₁	—	4	1	no	—
578	C₄²×C₃₁	—	4	1	no	—
579	C₄²×C₃₁	—	4	1	no	—
580	C₄²×C₃₁	—	4	1	no	—
581	C₄²×C₃₁	—	4	1	no	—
582	C₄²×C₃₁	—	4	1	no	—
583	C₄²×C₃₁	—	4	1	no	—
584	C₄²×C₃₁	—	4	1	no	—
585	C₄²×C₃₁	C₂²×C₄	1	4	yes	—
586	#34517	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
587	C₂³×C₃₁	—	2	1	no	—
588	C₂³×C₃₁	—	2	1	no	—
589	C₂³×C₃₁	—	2	1	no	—
590	C₂³×C₃₁	—	2	1	no	—
591	C₂³×C₃₁	—	2	1	no	—
592	C₂³×C₃₁	—	2	1	no	—
593	C₂³×C₃₁	—	2	1	no	—
594	C₂³×C₃₁	—	2	1	no	—
595	C₂³×C₃₁	—	2	1	no	—
596	C₂³×C₃₁	—	2	1	no	—
597	C₂³×C₃₁	—	2	1	no	—
598	C₂³×C₃₁	—	2	1	no	—
599	C₂³×C₃₁	—	2	1	no	—
600	C₂³×C₃₁	—	2	1	no	—
601	C₂³×C₃₁	—	2	1	no	—
602	C₂³×C₃₁	—	2	1	no	—
603	C₂³×C₃₁	—	2	1	no	—
604	C₂³×C₃₁	—	2	1	no	—
605	C₂³×C₃₁	—	2	1	no	—
606	C₂³×C₃₁	—	2	1	no	—
607	C₂³×C₃₁	—	2	1	no	—
608	C₂³×C₃₁	—	2	1	no	—
609	C₂³×C₃₁	—	2	1	no	—
610	C₂³×C₃₁	—	2	1	no	—
611	C₂³×C₃₁	—	2	1	no	—
612	C₂³×C₃₁	—	2	1	no	—
613	C₂³×C₃₁	—	2	1	no	—
614	C₂³×C₃₁	—	2	1	no	—
615	C₂³×C₃₁	—	2	1	no	—
616	C₂³×C₃₁	—	2	1	no	—
617	C₂³×C₃₁	—	2	1	no	—
618	C₂³×C₃₁	—	2	1	no	—
619	C₂³×C₃₁	—	2	1	no	—
620	C₂³×C₃₁	—	2	1	no	—
621	C₂³×C₃₁	—	2	1	no	—
622	C₂³×C₃₁	—	2	1	no	—
623	C₂³×C₃₁	—	4	4	no	—
624	C₂³×C₃₁	—	4	4	no	—
625	C₂³×C₃₁	—	4	4	no	—
626	C₂³×C₃₁	—	8	2	no	—
627	C₂³×C₃₁	—	8	2	no	—
628	C₂³×C₃₁	—	8	2	no	—
629	C₂³×C₃₁	—	8	2	no	—
630	C₂³×C₃₁	C₂³×C₄	1	2	yes	—
631	C₂³×C₃₁	C₂³×C₄	1	2	yes	—
632	C₂³×C₃₁	C₂³×C₄	1	2	yes	—
633	C₂³×C₃₁	C₂³×C₄	1	2	yes	—
634	C₂³×C₃₁	C₂³×C₄	1	2	yes	—
635	C₂³×C₃₁	C₂³×C₄	1	2	yes	—
636	C₂³×C₃₁	C₂⁵	1	1	yes	characteristic
637	D₄×C₃₁	—	4	4	no	—
638	D₄×C₃₁	—	4	4	no	—
639	D₄×C₃₁	—	4	4	no	—
640	D₄×C₃₁	—	4	4	no	—
641	D₄×C₃₁	—	4	4	no	—
642	D₄×C₃₁	—	4	4	no	—
643	D₄×C₃₁	—	4	4	no	—
644	D₄×C₃₁	—	4	4	no	—
645	D₄×C₃₁	—	4	4	no	—
646	D₄×C₃₁	—	4	4	no	—
647	D₄×C₃₁	—	4	4	no	—
648	D₄×C₃₁	—	4	4	no	—
649	C₂×C₄×C₃₁	—	2	1	no	—
650	C₂×C₄×C₃₁	—	2	1	no	—
651	C₂×C₄×C₃₁	—	2	1	no	—
652	C₂×C₄×C₃₁	—	2	1	no	—
653	C₂×C₄×C₃₁	—	2	1	no	—
654	C₂×C₄×C₃₁	—	2	1	no	—
655	C₂×C₄×C₃₁	—	2	1	no	—
656	C₂×C₄×C₃₁	—	2	1	no	—
657	C₂×C₄×C₃₁	—	2	1	no	—
658	C₂×C₄×C₃₁	—	2	1	no	—
659	C₂×C₄×C₃₁	—	2	1	no	—
660	C₂×C₄×C₃₁	—	2	1	no	—
661	C₂×C₄×C₃₁	—	2	1	no	—
662	C₂×C₄×C₃₁	—	2	1	no	—
663	C₂×C₄×C₃₁	—	2	1	no	—
664	C₂×C₄×C₃₁	—	2	1	no	—
665	C₂×C₄×C₃₁	—	2	1	no	—
666	C₂×C₄×C₃₁	—	2	1	no	—
667	C₂×C₄×C₃₁	—	2	1	no	—
668	C₂×C₄×C₃₁	—	2	1	no	—
669	C₂×C₄×C₃₁	—	2	1	no	—
670	C₂×C₄×C₃₁	—	2	1	no	—
671	C₂×C₄×C₃₁	—	2	1	no	—
672	C₂×C₄×C₃₁	—	2	1	no	—
673	C₂×C₄×C₃₁	—	2	1	no	—
674	C₂×C₄×C₃₁	—	2	1	no	—
675	C₂×C₄×C₃₁	—	2	1	no	—
676	C₂×C₄×C₃₁	—	2	1	no	—
677	C₂×C₄×C₃₁	—	2	1	no	—
678	C₂×C₄×C₃₁	—	2	1	no	—
679	C₂×C₄×C₃₁	—	2	1	no	—
680	C₂×C₄×C₃₁	—	2	1	no	—
681	C₂×C₄×C₃₁	—	2	1	no	—
682	C₂×C₄×C₃₁	—	2	1	no	—
683	C₂×C₄×C₃₁	—	2	1	no	—
684	C₂×C₄×C₃₁	—	2	1	no	—
685	C₂×C₄×C₃₁	—	2	1	no	—
686	C₂×C₄×C₃₁	—	2	1	no	—
687	C₂×C₄×C₃₁	—	2	1	no	—
688	C₂×C₄×C₃₁	—	2	1	no	—
689	C₂×C₄×C₃₁	—	2	1	no	—
690	C₂×C₄×C₃₁	—	2	1	no	—
691	C₂×C₄×C₃₁	—	2	1	no	—
692	C₂×C₄×C₃₁	—	2	1	no	—
693	C₂×C₄×C₃₁	—	2	1	no	—
694	C₂×C₄×C₃₁	—	2	1	no	—
695	C₂×C₄×C₃₁	—	2	1	no	—
696	C₂×C₄×C₃₁	—	2	1	no	—
697	C₂×C₄×C₃₁	—	2	1	no	—
698	C₂×C₄×C₃₁	—	2	1	no	—
699	C₂×C₄×C₃₁	—	2	1	no	—
700	C₂×C₄×C₃₁	—	2	1	no	—
701	C₂×C₄×C₃₁	—	2	1	no	—
702	C₂×C₄×C₃₁	—	2	1	no	—
703	C₂×C₄×C₃₁	—	2	1	no	—
704	C₂×C₄×C₃₁	—	2	1	no	—
705	C₂×C₄×C₃₁	—	2	1	no	—
706	C₂×C₄×C₃₁	—	2	1	no	—
707	C₂×C₄×C₃₁	—	2	1	no	—
708	C₂×C₄×C₃₁	—	2	1	no	—
709	C₂×C₄×C₃₁	—	2	1	no	—
710	C₂×C₄×C₃₁	—	2	1	no	—
711	C₂×C₄×C₃₁	—	2	1	no	—
712	C₂×C₄×C₃₁	—	4	4	no	—
713	C₂×C₄×C₃₁	—	4	4	no	—
714	C₂×C₄×C₃₁	—	4	4	no	—
715	C₂×C₄×C₃₁	—	4	4	no	—
716	C₂×C₄×C₃₁	—	4	4	no	—
717	C₂×C₄×C₃₁	—	8	2	no	—
718	C₂×C₄×C₃₁	—	8	2	no	—
719	C₂×C₄×C₃₁	—	8	2	no	—
720	C₂×C₄×C₃₁	—	8	2	no	—
721	C₂×C₄×C₃₁	—	8	2	no	—
722	C₂×C₄×C₃₁	—	8	2	no	—
723	C₂×C₄×C₃₁	—	8	2	no	—
724	C₂×C₄×C₃₁	—	8	2	no	—
725	C₂×C₄×C₃₁	—	8	2	no	—
726	C₂×C₄×C₃₁	—	8	2	no	—
727	C₂×C₄×C₃₁	C₂³×C₄	1	2	yes	—
728	C₂×C₄×C₃₁	C₂³×C₄	1	2	yes	—
729	C₂×C₄×C₃₁	C₂³×C₄	1	2	yes	—
730	C₂×C₄×C₃₁	C₂³×C₄	1	2	yes	—
731	C₂×C₄×C₃₁	C₂³×C₄	1	2	yes	—
732	C₂×C₄×C₃₁	C₂³×C₄	1	2	yes	—
733	C₂×C₄×C₃₁	C₂³×C₄	1	2	yes	—
734	C₂×C₄×C₃₁	C₂³×C₄	1	2	yes	—
735	C₂×C₄×C₃₁	C₂³×C₄	1	2	yes	—
736	C₂×C₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
737	C₂×C₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
738	C₂×C₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
739	C₂×#560	C₂×C₃₁	1	1	yes	characteristic
740	#2377	C₂×C₃₁	1	1	yes	characteristic, complemented
741	#2377	C₂×C₃₁	1	1	yes	characteristic, complemented
742	#2376	C₂×C₃₁	1	1	yes	characteristic, complemented
743	#2373	C₂×C₃₁	1	1	yes	characteristic, complemented
744	#2373	C₂×C₃₁	1	1	yes	characteristic, complemented
745	#2366	C₂×C₃₁	1	1	yes	characteristic, complemented
746	#2364	C₂×C₃₁	1	1	yes	characteristic, complemented
747	#2364	C₂×C₃₁	1	1	yes	characteristic, complemented
748	#2363	C₂×C₃₁	1	1	yes	characteristic, complemented
749	#2363	C₂×C₃₁	1	1	yes	characteristic, complemented
750	#2359	C₂×C₃₁	1	1	yes	characteristic, complemented
751	#2359	C₂×C₃₁	1	1	yes	characteristic, complemented
752	#2358	C₂×C₃₁	1	1	yes	characteristic, complemented
753	#2358	C₂×C₃₁	1	1	yes	characteristic, complemented
754	#2358	C₂×C₃₁	1	1	yes	characteristic, complemented
755	#2335	C₂×C₃₁	1	1	yes	characteristic, complemented
756	#2335	C₂×C₃₁	1	1	yes	characteristic, complemented
757	#2334	C₂×C₃₁	1	1	yes	characteristic, complemented
758	#2334	C₂×C₃₁	1	1	yes	characteristic, complemented
759	#2328	C₂×C₃₁	1	1	yes	characteristic, complemented
760	#2325	C₂×C₃₁	1	1	yes	characteristic, complemented
761	#2325	C₂×C₃₁	1	1	yes	characteristic, complemented
762	#2324	C₂×C₃₁	1	1	yes	characteristic, complemented
763	#2324	C₂×C₃₁	1	1	yes	characteristic, complemented
764	#2321	C₂×C₃₁	1	1	yes	characteristic, complemented
765	#2321	C₂×C₃₁	1	1	yes	characteristic, complemented
766	#2321	C₂×C₃₁	1	1	yes	characteristic, complemented
767	C₄×#123	C₂×C₃₁	1	1	yes	characteristic, complemented
768	C₄×#121	C₂×C₃₁	1	1	yes	characteristic, complemented
769	C₄×#121	C₂×C₃₁	1	1	yes	characteristic, complemented
770	C₂²×C₃₁	—	2	2	no	—
771	C₂²×C₃₁	—	2	2	no	—
772	C₂²×C₃₁	—	2	2	no	—
773	C₂²×C₃₁	—	2	2	no	—
774	C₂²×C₃₁	—	2	2	no	—
775	C₂²×C₃₁	—	2	2	no	—
776	C₂²×C₃₁	—	2	2	no	—
777	C₂²×C₃₁	—	2	2	no	—
778	C₂²×C₃₁	—	2	2	no	—
779	C₂²×C₃₁	—	2	2	no	—
780	C₂²×C₃₁	—	2	2	no	—
781	C₂²×C₃₁	—	2	2	no	—
782	C₂²×C₃₁	—	2	2	no	—
783	C₂²×C₃₁	—	2	2	no	—
784	C₂²×C₃₁	—	2	2	no	—
785	C₂²×C₃₁	—	2	2	no	—
786	C₂²×C₃₁	—	2	2	no	—
787	C₂²×C₃₁	—	2	2	no	—
788	C₂²×C₃₁	—	4	1	no	—
789	C₂²×C₃₁	—	4	1	no	—
790	C₂²×C₃₁	—	4	1	no	—
791	C₂²×C₃₁	—	4	1	no	—
792	C₂²×C₃₁	—	4	1	no	—
793	C₂²×C₃₁	—	4	1	no	—
794	C₂²×C₃₁	—	4	1	no	—
795	C₂²×C₃₁	—	4	1	no	—
796	C₂²×C₃₁	—	4	1	no	—
797	C₂²×C₃₁	—	4	1	no	—
798	C₂²×C₃₁	—	4	1	no	—
799	C₂²×C₃₁	—	4	1	no	—
800	C₂²×C₃₁	—	4	1	no	—
801	C₂²×C₃₁	—	4	1	no	—
802	C₂²×C₃₁	—	4	1	no	—
803	C₂²×C₃₁	—	4	1	no	—
804	C₂²×C₃₁	—	4	1	no	—
805	C₂²×C₃₁	—	4	1	no	—
806	C₂²×C₃₁	—	4	1	no	—
807	C₂²×C₃₁	—	4	1	no	—
808	C₂²×C₃₁	—	4	1	no	—
809	C₂²×C₃₁	—	4	1	no	—
810	C₂²×C₃₁	—	4	1	no	—
811	C₂²×C₃₁	—	4	1	no	—
812	C₂²×C₃₁	—	8	8	no	—
813	C₂²×C₃₁	C₂⁴×C₄	1	1	yes	characteristic
814	C₂²×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
815	C₂²×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
816	C₂²×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
817	C₂²×C₃₁	#585	1	1	yes	characteristic
818	C₂²×C₃₁	#585	1	1	yes	characteristic
819	C₂²×C₃₁	#585	1	1	yes	characteristic
820	C₄×C₃₁	—	2	2	no	—
821	C₄×C₃₁	—	2	2	no	—
822	C₄×C₃₁	—	2	2	no	—
823	C₄×C₃₁	—	2	2	no	—
824	C₄×C₃₁	—	2	2	no	—
825	C₄×C₃₁	—	2	2	no	—
826	C₄×C₃₁	—	2	2	no	—
827	C₄×C₃₁	—	2	2	no	—
828	C₄×C₃₁	—	2	2	no	—
829	C₄×C₃₁	—	2	2	no	—
830	C₄×C₃₁	—	2	2	no	—
831	C₄×C₃₁	—	2	2	no	—
832	C₄×C₃₁	—	4	1	no	—
833	C₄×C₃₁	—	4	1	no	—
834	C₄×C₃₁	—	4	1	no	—
835	C₄×C₃₁	—	4	1	no	—
836	C₄×C₃₁	—	4	1	no	—
837	C₄×C₃₁	—	4	1	no	—
838	C₄×C₃₁	—	4	1	no	—
839	C₄×C₃₁	—	4	1	no	—
840	C₄×C₃₁	—	4	1	no	—
841	C₄×C₃₁	—	4	1	no	—
842	C₄×C₃₁	—	4	1	no	—
843	C₄×C₃₁	—	4	1	no	—
844	C₄×C₃₁	—	4	1	no	—
845	#560	C₄×C₃₁	1	16	yes	complemented
846	C₂×#127	C₂²×C₃₁	1	1	yes	characteristic
847	C₂×#126	C₂²×C₃₁	1	1	yes	characteristic
848	C₂×#126	C₂²×C₃₁	1	1	yes	characteristic
849	C₂×#123	C₂²×C₃₁	1	1	yes	characteristic
850	C₂×#123	C₂²×C₃₁	1	1	yes	characteristic
851	C₂×#123	C₂²×C₃₁	1	1	yes	characteristic
852	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic
853	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic
854	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic
855	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic
856	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic
857	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic
858	C₂×#120	C₂²×C₃₁	1	1	yes	characteristic
859	C₂×#120	C₂²×C₃₁	1	1	yes	characteristic
860	C₂×#120	C₂²×C₃₁	1	1	yes	characteristic
861	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
862	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
863	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
864	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
865	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
866	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
867	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
868	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
869	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
870	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
871	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
872	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
873	C₂×#117	C₂²×C₃₁	1	1	yes	characteristic, complemented
874	C₂×#117	C₂²×C₃₁	1	1	yes	characteristic, complemented
875	C₂²×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
876	C₂²×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
877	C₂²×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
878	C₂²×C₄²	C₂²×C₃₁	1	1	yes	characteristic, complemented
879	#390	C₂²×C₃₁	1	1	yes	characteristic
880	#390	C₂²×C₃₁	1	1	yes	characteristic
881	#390	C₂²×C₃₁	1	1	yes	characteristic
882	#390	C₂²×C₃₁	1	1	yes	characteristic
883	#390	C₂²×C₃₁	1	1	yes	characteristic
884	#390	C₂²×C₃₁	1	1	yes	characteristic
885	#390	C₂²×C₃₁	1	1	yes	characteristic
886	#390	C₂²×C₃₁	1	1	yes	characteristic
887	#390	C₂²×C₃₁	1	1	yes	characteristic
888	#390	C₂²×C₃₁	1	1	yes	characteristic, complemented
889	#390	C₂²×C₃₁	1	1	yes	characteristic, complemented
890	#390	C₂²×C₃₁	1	1	yes	characteristic, complemented
891	#389	C₂²×C₃₁	1	1	yes	characteristic, complemented
892	#389	C₂²×C₃₁	1	1	yes	characteristic, complemented
893	#389	C₂²×C₃₁	1	1	yes	characteristic, complemented
894	#389	C₂²×C₃₁	1	1	yes	characteristic, complemented
895	#389	C₂²×C₃₁	1	1	yes	characteristic, complemented
896	#389	C₂²×C₃₁	1	1	yes	characteristic, complemented
897	#388	C₂²×C₃₁	1	1	yes	characteristic
898	#388	C₂²×C₃₁	1	1	yes	characteristic
899	#388	C₂²×C₃₁	1	1	yes	characteristic
900	#388	C₂²×C₃₁	1	1	yes	characteristic
901	#388	C₂²×C₃₁	1	1	yes	characteristic
902	#388	C₂²×C₃₁	1	1	yes	characteristic
903	#388	C₂²×C₃₁	1	1	yes	characteristic
904	#388	C₂²×C₃₁	1	1	yes	characteristic
905	#388	C₂²×C₃₁	1	1	yes	characteristic
906	#388	C₂²×C₃₁	1	1	yes	characteristic
907	#388	C₂²×C₃₁	1	1	yes	characteristic
908	#388	C₂²×C₃₁	1	1	yes	characteristic
909	#388	C₂²×C₃₁	1	1	yes	characteristic
910	#388	C₂²×C₃₁	1	1	yes	characteristic
911	#388	C₂²×C₃₁	1	1	yes	characteristic
912	#388	C₂²×C₃₁	1	1	yes	characteristic
913	#388	C₂²×C₃₁	1	1	yes	characteristic
914	#388	C₂²×C₃₁	1	1	yes	characteristic
915	#388	C₂²×C₃₁	1	1	yes	characteristic, complemented
916	#388	C₂²×C₃₁	1	1	yes	characteristic, complemented
917	#388	C₂²×C₃₁	1	1	yes	characteristic, complemented
918	#388	C₂²×C₃₁	1	1	yes	characteristic, complemented
919	#388	C₂²×C₃₁	1	1	yes	characteristic, complemented
920	#388	C₂²×C₃₁	1	1	yes	characteristic, complemented
921	#387	C₂²×C₃₁	1	1	yes	characteristic, complemented
922	#387	C₂²×C₃₁	1	1	yes	characteristic, complemented
923	#387	C₂²×C₃₁	1	1	yes	characteristic, complemented
924	#387	C₂²×C₃₁	1	1	yes	characteristic, complemented
925	#387	C₂²×C₃₁	1	1	yes	characteristic, complemented
926	#387	C₂²×C₃₁	1	1	yes	characteristic, complemented
927	#387	C₂²×C₃₁	1	1	yes	characteristic, complemented
928	#387	C₂²×C₃₁	1	1	yes	characteristic, complemented
929	#387	C₂²×C₃₁	1	1	yes	characteristic, complemented
930	#387	C₂²×C₃₁	1	1	yes	characteristic, complemented
931	#387	C₂²×C₃₁	1	1	yes	characteristic, complemented
932	#387	C₂²×C₃₁	1	1	yes	characteristic, complemented
933	#386	C₂²×C₃₁	1	1	yes	characteristic
934	#386	C₂²×C₃₁	1	1	yes	characteristic
935	#386	C₂²×C₃₁	1	1	yes	characteristic
936	#386	C₂²×C₃₁	1	1	yes	characteristic
937	#386	C₂²×C₃₁	1	1	yes	characteristic
938	#386	C₂²×C₃₁	1	1	yes	characteristic
939	#386	C₂²×C₃₁	1	1	yes	characteristic
940	#386	C₂²×C₃₁	1	1	yes	characteristic
941	#386	C₂²×C₃₁	1	1	yes	characteristic
942	#386	C₂²×C₃₁	1	1	yes	characteristic
943	#386	C₂²×C₃₁	1	1	yes	characteristic
944	#386	C₂²×C₃₁	1	1	yes	characteristic
945	#386	C₂²×C₃₁	1	1	yes	characteristic
946	#386	C₂²×C₃₁	1	1	yes	characteristic
947	#386	C₂²×C₃₁	1	1	yes	characteristic
948	#386	C₂²×C₃₁	1	1	yes	characteristic
949	#386	C₂²×C₃₁	1	1	yes	characteristic
950	#386	C₂²×C₃₁	1	1	yes	characteristic
951	#386	C₂²×C₃₁	1	1	yes	characteristic, complemented
952	#386	C₂²×C₃₁	1	1	yes	characteristic, complemented
953	#386	C₂²×C₃₁	1	1	yes	characteristic, complemented
954	#386	C₂²×C₃₁	1	1	yes	characteristic, complemented
955	#386	C₂²×C₃₁	1	1	yes	characteristic, complemented
956	#386	C₂²×C₃₁	1	1	yes	characteristic, complemented
957	#385	C₂²×C₃₁	1	1	yes	characteristic
958	#385	C₂²×C₃₁	1	1	yes	characteristic
959	#385	C₂²×C₃₁	1	1	yes	characteristic
960	#385	C₂²×C₃₁	1	1	yes	characteristic
961	#385	C₂²×C₃₁	1	1	yes	characteristic
962	#385	C₂²×C₃₁	1	1	yes	characteristic
963	#385	C₂²×C₃₁	1	1	yes	characteristic
964	#385	C₂²×C₃₁	1	1	yes	characteristic
965	#385	C₂²×C₃₁	1	1	yes	characteristic
966	#385	C₂²×C₃₁	1	1	yes	characteristic, complemented
967	#385	C₂²×C₃₁	1	1	yes	characteristic, complemented
968	#385	C₂²×C₃₁	1	1	yes	characteristic, complemented
969	#382	C₂²×C₃₁	1	1	yes	characteristic, complemented
970	#381	C₂²×C₃₁	1	1	yes	characteristic, complemented
971	#380	C₂²×C₃₁	1	1	yes	characteristic, complemented
972	#380	C₂²×C₃₁	1	1	yes	characteristic, complemented
973	#380	C₂²×C₃₁	1	1	yes	characteristic, complemented
974	#380	C₂²×C₃₁	1	1	yes	characteristic, complemented
975	#379	C₂²×C₃₁	1	1	yes	characteristic
976	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
977	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
978	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
979	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
980	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
981	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
982	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
983	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
984	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
985	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
986	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
987	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
988	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
989	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
990	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
991	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
992	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
993	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
995	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
996	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
997	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
998	#376	C₂²×C₃₁	1	1	yes	characteristic, complemented
999	C₂×#95	C₂²×C₃₁	1	1	yes	characteristic, complemented
1000	C₂×#95	C₂²×C₃₁	1	1	yes	characteristic, complemented
1001	C₂×C₃₁	—	4	2	no	—
1002	C₂×C₃₁	—	4	2	no	—
1003	C₂×C₃₁	—	4	2	no	—
1004	C₂×C₃₁	—	4	2	no	—
1005	C₂×C₃₁	—	4	2	no	—
1006	C₂×C₃₁	—	4	2	no	—
1007	C₂×C₃₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1008	C₂×C₃₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1009	C₂×C₃₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1010	C₂×C₃₁	#3534	1	1	yes	characteristic
1011	C₂×C₃₁	#3542	1	1	yes	characteristic
1012	C₂×C₃₁	#3546	1	1	yes	characteristic
1013	C₂×C₃₁	#3566	1	1	yes	characteristic
1014	C₂⁵	C₂³×C₃₁	1	1	yes	characteristic
1015	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1016	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1017	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1018	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1019	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1020	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1021	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1022	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1023	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1024	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1025	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1026	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1027	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1028	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1029	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1030	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1031	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1032	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1033	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1034	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1035	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1036	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1037	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1038	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1039	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1040	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1041	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1042	#127	C₂×C₄×C₃₁	1	8	yes	complemented
1043	#126	C₂×C₄×C₃₁	1	8	yes	complemented
1044	#126	C₂×C₄×C₃₁	1	8	yes	complemented
1045	#123	C₂×C₄×C₃₁	1	8	yes	complemented
1046	#123	C₂×C₄×C₃₁	1	8	yes	complemented
1047	#123	C₂×C₄×C₃₁	1	8	yes	complemented
1048	#121	C₂×C₄×C₃₁	1	8	yes	complemented
1049	#121	C₂×C₄×C₃₁	1	8	yes	complemented
1050	#121	C₂×C₄×C₃₁	1	8	yes	complemented
1051	#121	C₂×C₄×C₃₁	1	8	yes	complemented
1052	#121	C₂×C₄×C₃₁	1	8	yes	complemented
1053	#121	C₂×C₄×C₃₁	1	8	yes	complemented
1054	#120	C₂×C₄×C₃₁	1	8	yes	complemented
1055	#120	C₂×C₄×C₃₁	1	8	yes	complemented
1056	#120	C₂×C₄×C₃₁	1	8	yes	complemented
1057	C₄×D₄	—	4	2	no	—
1058	C₄×D₄	—	4	2	no	—
1059	C₄×D₄	—	4	2	no	—
1060	C₄×D₄	—	4	2	no	—
1061	C₄×D₄	—	4	2	no	—
1062	C₄×D₄	—	4	2	no	—
1063	C₄×D₄	—	4	2	no	—
1064	C₄×D₄	—	4	2	no	—
1065	C₄×D₄	—	4	2	no	—
1066	C₄×D₄	—	4	2	no	—
1067	C₄×D₄	—	4	2	no	—
1068	C₄×D₄	—	4	2	no	—
1069	#117	—	4	2	no	—
1070	#117	—	4	2	no	—
1071	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1072	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1073	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1074	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1075	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1076	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1077	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1078	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1079	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1080	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1081	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1082	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1083	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1084	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1085	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1086	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1087	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1088	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1089	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1090	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1091	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1092	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1093	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1094	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	—	4	2	no	—
1096	C₂×C₂²⋊C₄	—	4	2	no	—
1097	C₂×C₂²⋊C₄	—	4	2	no	—
1098	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1107	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1109	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1110	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1111	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1112	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1113	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1114	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1115	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1116	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1117	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1118	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1119	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1120	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1121	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1122	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1123	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1124	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1125	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1126	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1127	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1128	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1129	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1130	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1131	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1132	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1133	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1134	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1135	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1136	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1137	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1138	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1139	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1140	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1141	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1142	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1143	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1144	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1145	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1146	C₂×C₄²	—	4	2	no	—
1147	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1148	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1149	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1150	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1151	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1152	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1153	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1154	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1155	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1156	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1157	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1158	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1159	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1160	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1161	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1162	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1163	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1164	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1165	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1166	#95	C₂³×C₃₁	1	1	yes	characteristic
1167	#95	C₂³×C₃₁	1	1	yes	characteristic
1168	#95	C₂³×C₃₁	1	1	yes	characteristic
1169	#95	C₂³×C₃₁	1	1	yes	characteristic
1170	#95	C₂³×C₃₁	1	1	yes	characteristic
1171	#95	C₂³×C₃₁	1	1	yes	characteristic
1172	#95	C₂³×C₃₁	1	1	yes	characteristic
1173	#95	C₂³×C₃₁	1	1	yes	characteristic
1174	#95	C₂³×C₃₁	1	1	yes	characteristic
1175	#95	C₂³×C₃₁	1	1	yes	characteristic
1176	#95	C₂³×C₃₁	1	1	yes	characteristic
1177	#95	C₂³×C₃₁	1	1	yes	characteristic
1178	#95	C₂³×C₃₁	1	1	yes	characteristic
1179	#95	C₂³×C₃₁	1	1	yes	characteristic
1180	#95	C₂³×C₃₁	1	1	yes	characteristic
1181	#95	C₂³×C₃₁	1	1	yes	characteristic
1182	#95	C₂³×C₃₁	1	1	yes	characteristic
1183	#95	C₂³×C₃₁	1	1	yes	characteristic
1184	#95	C₂³×C₃₁	1	1	yes	characteristic
1185	#95	C₂³×C₃₁	1	1	yes	characteristic
1186	#95	C₂³×C₃₁	1	1	yes	characteristic
1187	#95	C₂³×C₃₁	1	1	yes	characteristic
1188	#95	C₂³×C₃₁	1	1	yes	characteristic
1189	#95	C₂³×C₃₁	1	1	yes	characteristic
1190	#95	C₂³×C₃₁	1	1	yes	characteristic
1191	#95	C₂³×C₃₁	1	1	yes	characteristic
1192	#95	C₂³×C₃₁	1	1	yes	characteristic
1193	#95	C₂³×C₃₁	1	1	yes	characteristic
1194	#95	C₂³×C₃₁	1	1	yes	characteristic
1195	#95	C₂³×C₃₁	1	1	yes	characteristic
1196	#95	C₂³×C₃₁	1	1	yes	characteristic
1197	#95	C₂³×C₃₁	1	1	yes	characteristic
1198	#95	C₂³×C₃₁	1	1	yes	characteristic
1199	#95	C₂³×C₃₁	1	1	yes	characteristic
1200	#95	C₂³×C₃₁	1	1	yes	characteristic
1201	#95	C₂³×C₃₁	1	1	yes	characteristic
1202	C₃₁	#34517	1	1	yes	characteristic, direct product factor, Sylow
1203	C₂⁴	—	4	1	no	—
1204	C₂⁴	—	4	1	no	—
1205	C₂⁴	—	4	1	no	—
1206	C₂⁴	—	4	1	no	—
1207	C₂⁴	—	4	1	no	—
1208	C₂⁴	—	4	1	no	—
1209	C₂⁴	C₂²×C₄×C₃₁	1	4	yes	—
1210	C₂⁴	C₂⁴×C₃₁	1	1	yes	characteristic
1211	C₂⁴	C₂⁴×C₃₁	1	1	yes	characteristic
1212	C₂⁴	C₂⁴×C₃₁	1	1	yes	characteristic
1213	C₂⁴	C₂⁴×C₃₁	1	1	yes	characteristic
1214	C₂⁴	C₂⁴×C₃₁	1	1	yes	characteristic
1215	C₂⁴	C₂⁴×C₃₁	1	1	yes	characteristic
1216	C₂×D₄	—	4	1	no	—
1217	C₂×D₄	—	4	1	no	—
1218	C₂×D₄	—	4	1	no	—
1219	C₂×D₄	—	4	1	no	—
1220	C₂×D₄	—	4	1	no	—
1221	C₂×D₄	—	4	1	no	—
1222	C₂×D₄	—	4	1	no	—
1223	C₂×D₄	—	4	1	no	—
1224	C₂×D₄	—	4	1	no	—
1225	C₂×D₄	—	4	1	no	—
1226	C₂×D₄	—	4	1	no	—
1227	C₂×D₄	—	4	1	no	—
1228	C₂×D₄	—	4	1	no	—
1229	C₂×D₄	—	4	1	no	—
1230	C₂×D₄	—	4	1	no	—
1231	C₂×D₄	—	4	1	no	—
1232	C₂×D₄	—	4	1	no	—
1233	C₂×D₄	—	4	1	no	—
1234	C₂×D₄	—	4	1	no	—
1235	C₂×D₄	—	4	1	no	—
1236	C₂×D₄	—	4	1	no	—
1237	C₂×D₄	—	4	1	no	—
1238	C₂×D₄	—	4	1	no	—
1239	C₂×D₄	—	4	1	no	—
1240	C₂×D₄	C₂²×C₄×C₃₁	1	4	yes	—
1241	C₂×D₄	C₂²×C₄×C₃₁	1	4	yes	—
1242	C₂×D₄	C₂²×C₄×C₃₁	1	4	yes	—
1243	C₂×D₄	C₂²×C₄×C₃₁	1	4	yes	—
1244	C₂×D₄	C₂²×C₄×C₃₁	1	4	yes	—
1245	C₂×D₄	C₂²×C₄×C₃₁	1	4	yes	—
1246	C₂×D₄	C₂²×C₄×C₃₁	1	4	yes	—
1247	C₂×D₄	C₂²×C₄×C₃₁	1	4	yes	—
1248	C₂×D₄	C₂²×C₄×C₃₁	1	4	yes	—
1249	C₂×D₄	C₂²×C₄×C₃₁	1	4	yes	—
1250	C₂×D₄	C₂²×C₄×C₃₁	1	4	yes	—
1251	C₂×D₄	C₂²×C₄×C₃₁	1	4	yes	—
1252	C₂²×C₄	—	2	2	no	—
1253	C₂²×C₄	—	2	2	no	—
1254	C₂²×C₄	—	2	2	no	—
1255	C₂²×C₄	—	2	2	no	—
1256	C₂²×C₄	—	2	2	no	—
1257	C₂²×C₄	—	2	2	no	—
1258	C₂²×C₄	—	2	2	no	—
1259	C₂²×C₄	—	2	2	no	—
1260	C₂²×C₄	—	4	1	no	—
1261	C₂²×C₄	—	4	1	no	—
1262	C₂²×C₄	—	4	1	no	—
1263	C₂²×C₄	—	4	1	no	—
1264	C₂²×C₄	—	4	1	no	—
1265	C₂²×C₄	—	4	1	no	—
1266	C₂²×C₄	—	4	1	no	—
1267	C₂²×C₄	—	4	1	no	—
1268	C₂²×C₄	—	4	1	no	—
1269	C₂²×C₄	—	4	1	no	—
1270	C₂²×C₄	—	4	1	no	—
1271	C₂²×C₄	—	4	1	no	—
1272	C₂²×C₄	—	4	1	no	—
1273	C₂²×C₄	—	4	1	no	—
1274	C₂²×C₄	—	4	1	no	—
1275	C₂²×C₄	—	4	1	no	—
1276	C₂²×C₄	—	4	1	no	—
1277	C₂²×C₄	—	4	1	no	—
1278	C₂²×C₄	—	4	1	no	—
1279	C₂²×C₄	—	4	1	no	—
1280	C₂²×C₄	—	4	1	no	—
1281	C₂²×C₄	—	4	1	no	—
1282	C₂²×C₄	—	4	1	no	—
1283	C₂²×C₄	—	4	1	no	—
1284	C₂²×C₄	—	4	1	no	—
1285	C₂²×C₄	—	4	1	no	—
1286	C₂²×C₄	—	4	1	no	—
1287	C₂²×C₄	—	4	1	no	—
1288	C₂²×C₄	—	4	1	no	—
1289	C₂²×C₄	—	4	1	no	—
1290	C₂²×C₄	—	4	1	no	—
1291	C₂²×C₄	—	4	1	no	—
1292	C₂²×C₄	—	4	1	no	—
1293	C₂²×C₄	—	4	1	no	—
1294	C₂²×C₄	C₂²×C₄×C₃₁	1	4	yes	—
1295	C₂²×C₄	C₂²×C₄×C₃₁	1	4	yes	—
1296	C₂²×C₄	C₂²×C₄×C₃₁	1	4	yes	—
1297	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1298	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1299	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1300	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1301	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1302	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1303	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1304	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1305	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1306	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1307	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1308	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1309	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1310	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1311	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1312	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1313	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1314	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1315	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1316	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1317	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1318	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1319	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1320	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1321	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1322	C₄⋊C₄	—	2	2	no	—
1323	C₄⋊C₄	—	2	2	no	—
1324	C₄⋊C₄	—	2	2	no	—
1325	C₄⋊C₄	—	2	2	no	—
1326	C₄⋊C₄	—	4	1	no	—
1327	C₄⋊C₄	—	4	1	no	—
1328	C₄⋊C₄	—	4	1	no	—
1329	C₄⋊C₄	—	4	1	no	—
1330	C₄⋊C₄	—	4	1	no	—
1331	C₄⋊C₄	—	4	1	no	—
1332	C₄⋊C₄	—	4	1	no	—
1333	C₄⋊C₄	—	4	1	no	—
1334	C₄⋊C₄	—	4	1	no	—
1335	C₄⋊C₄	—	4	1	no	—
1336	C₄⋊C₄	—	4	1	no	—
1337	C₄⋊C₄	—	4	1	no	—
1338	C₄⋊C₄	—	4	1	no	—
1339	C₄⋊C₄	—	4	1	no	—
1340	C₄⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1341	C₄⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1342	C₄⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1343	C₄⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1344	C₄⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1345	C₄⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1346	C₂²⋊C₄	—	2	2	no	—
1347	C₂²⋊C₄	—	2	2	no	—
1348	C₂²⋊C₄	—	2	2	no	—
1349	C₂²⋊C₄	—	2	2	no	—
1350	C₂²⋊C₄	—	2	2	no	—
1351	C₂²⋊C₄	—	2	2	no	—
1352	C₂²⋊C₄	—	2	2	no	—
1353	C₂²⋊C₄	—	2	2	no	—
1354	C₂²⋊C₄	—	2	2	no	—
1355	C₂²⋊C₄	—	2	2	no	—
1356	C₂²⋊C₄	—	4	1	no	—
1357	C₂²⋊C₄	—	4	1	no	—
1358	C₂²⋊C₄	—	4	1	no	—
1359	C₂²⋊C₄	—	4	1	no	—
1360	C₂²⋊C₄	—	4	1	no	—
1361	C₂²⋊C₄	—	4	1	no	—
1362	C₂²⋊C₄	—	4	1	no	—
1363	C₂²⋊C₄	—	4	1	no	—
1364	C₂²⋊C₄	—	4	1	no	—
1365	C₂²⋊C₄	—	4	1	no	—
1366	C₂²⋊C₄	—	4	1	no	—
1367	C₂²⋊C₄	—	4	1	no	—
1368	C₂²⋊C₄	—	4	1	no	—
1369	C₂²⋊C₄	—	4	1	no	—
1370	C₂²⋊C₄	—	4	1	no	—
1371	C₂²⋊C₄	—	4	1	no	—
1372	C₂²⋊C₄	—	4	1	no	—
1373	C₂²⋊C₄	—	4	1	no	—
1374	C₂²⋊C₄	—	4	1	no	—
1375	C₂²⋊C₄	—	4	1	no	—
1376	C₂²⋊C₄	—	4	1	no	—
1377	C₂²⋊C₄	—	4	1	no	—
1378	C₂²⋊C₄	—	4	1	no	—
1379	C₂²⋊C₄	—	4	1	no	—
1380	C₂²⋊C₄	—	4	1	no	—
1381	C₂²⋊C₄	—	4	1	no	—
1382	C₂²⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1383	C₂²⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1384	C₂²⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1385	C₂²⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1386	C₂²⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1387	C₂²⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1388	C₂²⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1389	C₂²⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1390	C₂²⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1391	C₂²⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1392	C₂²⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1393	C₂²⋊C₄	C₂²×C₄×C₃₁	1	4	yes	—
1394	C₄²	—	2	2	no	—
1395	C₄²	—	2	2	no	—
1396	C₄²	—	2	2	no	—
1397	C₄²	—	2	2	no	—
1398	C₄²	—	2	2	no	—
1399	C₄²	—	4	1	no	—
1400	C₄²	—	4	1	no	—
1401	C₄²	—	4	1	no	—
1402	C₄²	—	4	1	no	—
1403	C₄²	—	4	1	no	—
1404	C₄²	—	4	1	no	—
1405	C₄²	—	4	1	no	—
1406	C₄²	—	4	1	no	—
1407	C₄²	—	4	1	no	—
1408	C₄²	—	4	1	no	—
1409	C₄²	—	4	1	no	—
1410	C₄²	—	4	1	no	—
1411	C₄²	—	4	1	no	—
1412	C₄²	C₂²×C₄×C₃₁	1	4	yes	—
1413	C₂³	—	2	1	no	—
1414	C₂³	—	2	1	no	—
1415	C₂³	—	2	1	no	—
1416	C₂³	—	2	1	no	—
1417	C₂³	—	2	1	no	—
1418	C₂³	—	2	1	no	—
1419	C₂³	—	2	1	no	—
1420	C₂³	—	2	1	no	—
1421	C₂³	—	2	1	no	—
1422	C₂³	—	2	1	no	—
1423	C₂³	—	2	1	no	—
1424	C₂³	—	2	1	no	—
1425	C₂³	—	2	1	no	—
1426	C₂³	—	2	1	no	—
1427	C₂³	—	2	1	no	—
1428	C₂³	—	2	1	no	—
1429	C₂³	—	2	1	no	—
1430	C₂³	—	2	1	no	—
1431	C₂³	—	2	1	no	—
1432	C₂³	—	2	1	no	—
1433	C₂³	—	2	1	no	—
1434	C₂³	—	2	1	no	—
1435	C₂³	—	2	1	no	—
1436	C₂³	—	2	1	no	—
1437	C₂³	—	2	1	no	—
1438	C₂³	—	2	1	no	—
1439	C₂³	—	2	1	no	—
1440	C₂³	—	2	1	no	—
1441	C₂³	—	2	1	no	—
1442	C₂³	—	2	1	no	—
1443	C₂³	—	2	1	no	—
1444	C₂³	—	2	1	no	—
1445	C₂³	—	2	1	no	—
1446	C₂³	—	2	1	no	—
1447	C₂³	—	2	1	no	—
1448	C₂³	—	2	1	no	—
1449	C₂³	—	4	4	no	—
1450	C₂³	—	4	4	no	—
1451	C₂³	—	4	4	no	—
1452	C₂³	—	8	2	no	—
1453	C₂³	—	8	2	no	—
1454	C₂³	—	8	2	no	—
1455	C₂³	—	8	2	no	—
1456	C₂³	C₂³×C₄×C₃₁	1	2	yes	—
1457	C₂³	C₂³×C₄×C₃₁	1	2	yes	—
1458	C₂³	C₂³×C₄×C₃₁	1	2	yes	—
1459	C₂³	C₂³×C₄×C₃₁	1	2	yes	—
1460	C₂³	C₂³×C₄×C₃₁	1	2	yes	—
1461	C₂³	C₂³×C₄×C₃₁	1	2	yes	—
1462	C₂³	C₂⁵×C₃₁	1	1	yes	characteristic
1463	D₄	—	4	4	no	—
1464	D₄	—	4	4	no	—
1465	D₄	—	4	4	no	—
1466	D₄	—	4	4	no	—
1467	D₄	—	4	4	no	—
1468	D₄	—	4	4	no	—
1469	D₄	—	4	4	no	—
1470	D₄	—	4	4	no	—
1471	D₄	—	4	4	no	—
1472	D₄	—	4	4	no	—
1473	D₄	—	4	4	no	—
1474	D₄	—	4	4	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	4	4	no	—
1539	C₂×C₄	—	4	4	no	—
1540	C₂×C₄	—	4	4	no	—
1541	C₂×C₄	—	4	4	no	—
1542	C₂×C₄	—	4	4	no	—
1543	C₂×C₄	—	8	2	no	—
1544	C₂×C₄	—	8	2	no	—
1545	C₂×C₄	—	8	2	no	—
1546	C₂×C₄	—	8	2	no	—
1547	C₂×C₄	—	8	2	no	—
1548	C₂×C₄	—	8	2	no	—
1549	C₂×C₄	—	8	2	no	—
1550	C₂×C₄	—	8	2	no	—
1551	C₂×C₄	—	8	2	no	—
1552	C₂×C₄	—	8	2	no	—
1553	C₂×C₄	C₂³×C₄×C₃₁	1	2	yes	—
1554	C₂×C₄	C₂³×C₄×C₃₁	1	2	yes	—
1555	C₂×C₄	C₂³×C₄×C₃₁	1	2	yes	—
1556	C₂×C₄	C₂³×C₄×C₃₁	1	2	yes	—
1557	C₂×C₄	C₂³×C₄×C₃₁	1	2	yes	—
1558	C₂×C₄	C₂³×C₄×C₃₁	1	2	yes	—
1559	C₂×C₄	C₂³×C₄×C₃₁	1	2	yes	—
1560	C₂×C₄	C₂³×C₄×C₃₁	1	2	yes	—
1561	C₂×C₄	C₂³×C₄×C₃₁	1	2	yes	—
1562	C₂×C₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
1563	C₂×C₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
1564	C₂×C₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
1565	C₂²	—	2	2	no	—
1566	C₂²	—	2	2	no	—
1567	C₂²	—	2	2	no	—
1568	C₂²	—	2	2	no	—
1569	C₂²	—	2	2	no	—
1570	C₂²	—	2	2	no	—
1571	C₂²	—	2	2	no	—
1572	C₂²	—	2	2	no	—
1573	C₂²	—	2	2	no	—
1574	C₂²	—	2	2	no	—
1575	C₂²	—	2	2	no	—
1576	C₂²	—	2	2	no	—
1577	C₂²	—	2	2	no	—
1578	C₂²	—	2	2	no	—
1579	C₂²	—	2	2	no	—
1580	C₂²	—	2	2	no	—
1581	C₂²	—	2	2	no	—
1582	C₂²	—	2	2	no	—
1583	C₂²	—	4	1	no	—
1584	C₂²	—	4	1	no	—
1585	C₂²	—	4	1	no	—
1586	C₂²	—	4	1	no	—
1587	C₂²	—	4	1	no	—
1588	C₂²	—	4	1	no	—
1589	C₂²	—	4	1	no	—
1590	C₂²	—	4	1	no	—
1591	C₂²	—	4	1	no	—
1592	C₂²	—	4	1	no	—
1593	C₂²	—	4	1	no	—
1594	C₂²	—	4	1	no	—
1595	C₂²	—	4	1	no	—
1596	C₂²	—	4	1	no	—
1597	C₂²	—	4	1	no	—
1598	C₂²	—	4	1	no	—
1599	C₂²	—	4	1	no	—
1600	C₂²	—	4	1	no	—
1601	C₂²	—	4	1	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	8	8	no	—
1608	C₂²	C₂⁴×C₄×C₃₁	1	1	yes	characteristic
1609	C₂²	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1610	C₂²	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1611	C₂²	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1612	C₂²	C₃₁×#585	1	1	yes	characteristic
1613	C₂²	C₃₁×#585	1	1	yes	characteristic
1614	C₂²	C₃₁×#585	1	1	yes	characteristic
1615	C₄	—	2	2	no	—
1616	C₄	—	2	2	no	—
1617	C₄	—	2	2	no	—
1618	C₄	—	2	2	no	—
1619	C₄	—	2	2	no	—
1620	C₄	—	2	2	no	—
1621	C₄	—	2	2	no	—
1622	C₄	—	2	2	no	—
1623	C₄	—	2	2	no	—
1624	C₄	—	2	2	no	—
1625	C₄	—	2	2	no	—
1626	C₄	—	2	2	no	—
1627	C₄	—	4	1	no	—
1628	C₄	—	4	1	no	—
1629	C₄	—	4	1	no	—
1630	C₄	—	4	1	no	—
1631	C₄	—	4	1	no	—
1632	C₄	—	4	1	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	4	1	no	—
1639	C₄	—	4	1	no	—
1640	C₂	—	4	2	no	—
1641	C₂	—	4	2	no	—
1642	C₂	—	4	2	no	—
1643	C₂	—	4	2	no	—
1644	C₂	—	4	2	no	—
1645	C₂	—	4	2	no	—
1646	C₂	C₄×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1647	C₂	C₄×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1648	C₂	C₄×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1649	C₂	C₃₁×#3534	1	1	yes	characteristic
1650	C₂	C₃₁×#3542	1	1	yes	characteristic
1651	C₂	C₃₁×#3546	1	1	yes	characteristic
1652	C₂	C₃₁×#3566	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×#560	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×#2377	C₂	semidirect
3. C₃₁×#2377	C₂	semidirect
4. C₃₁×#2376	C₂	semidirect
5. C₃₁×#2373	C₂	semidirect
6. C₃₁×#2373	C₂	semidirect
7. C₃₁×#2366	C₂	semidirect
8. C₃₁×#2364	C₂	semidirect
9. C₃₁×#2364	C₂	semidirect
10. C₃₁×#2363	C₂	semidirect
11. C₃₁×#2363	C₂	semidirect
12. C₃₁×#2359	C₂	semidirect
13. C₃₁×#2359	C₂	semidirect
14. C₃₁×#2358	C₂	semidirect
15. C₃₁×#2358	C₂	semidirect
16. C₃₁×#2358	C₂	semidirect
17. C₃₁×#2335	C₂	semidirect
18. C₃₁×#2335	C₂	semidirect
19. C₃₁×#2334	C₂	semidirect
20. C₃₁×#2334	C₂	semidirect
21. C₃₁×#2328	C₂	semidirect
22. C₃₁×#2325	C₂	semidirect
23. C₃₁×#2325	C₂	semidirect
24. C₃₁×#2324	C₂	semidirect
25. C₃₁×#2324	C₂	semidirect
26. C₃₁×#2321	C₂	semidirect
27. C₃₁×#2321	C₂	semidirect
28. C₃₁×#2321	C₂	semidirect
29. C₄×C₃₁×#123	C₂	semidirect
30. C₄×C₃₁×#121	C₂	semidirect
31. C₄×C₃₁×#121	C₂	semidirect
32. C₃₁×#560	C₄	semidirect
57. C₂×C₄×D₄×C₃₁	C₂²	semidirect
58. C₂×C₄×D₄×C₃₁	C₂²	semidirect
59. C₂×C₄×D₄×C₃₁	C₂²	semidirect
60. C₂×C₃₁×#117	C₂²	semidirect
61. C₂×C₃₁×#117	C₂²	semidirect
65. C₂²×C₄²×C₃₁	C₂²	semidirect
75. C₃₁×#390	C₂²	semidirect
76. C₃₁×#390	C₂²	semidirect
77. C₃₁×#390	C₂²	semidirect
78. C₃₁×#389	C₂²	semidirect
79. C₃₁×#389	C₂²	semidirect
80. C₃₁×#389	C₂²	semidirect
81. C₃₁×#389	C₂²	semidirect
82. C₃₁×#389	C₂²	semidirect
83. C₃₁×#389	C₂²	semidirect
102. C₃₁×#388	C₂²	semidirect
103. C₃₁×#388	C₂²	semidirect
104. C₃₁×#388	C₂²	semidirect
105. C₃₁×#388	C₂²	semidirect
106. C₃₁×#388	C₂²	semidirect
107. C₃₁×#388	C₂²	semidirect
108. C₃₁×#387	C₂²	semidirect
109. C₃₁×#387	C₂²	semidirect
110. C₃₁×#387	C₂²	semidirect
111. C₃₁×#387	C₂²	semidirect
112. C₃₁×#387	C₂²	semidirect
113. C₃₁×#387	C₂²	semidirect
114. C₃₁×#387	C₂²	semidirect
115. C₃₁×#387	C₂²	semidirect
116. C₃₁×#387	C₂²	semidirect
117. C₃₁×#387	C₂²	semidirect
118. C₃₁×#387	C₂²	semidirect
119. C₃₁×#387	C₂²	semidirect
138. C₃₁×#386	C₂²	semidirect
139. C₃₁×#386	C₂²	semidirect
140. C₃₁×#386	C₂²	semidirect
141. C₃₁×#386	C₂²	semidirect
142. C₃₁×#386	C₂²	semidirect
143. C₃₁×#386	C₂²	semidirect
153. C₃₁×#385	C₂²	semidirect
154. C₃₁×#385	C₂²	semidirect
155. C₃₁×#385	C₂²	semidirect
156. C₃₁×#382	C₂²	semidirect
157. C₃₁×#381	C₂²	semidirect
158. C₃₁×#380	C₂²	semidirect
159. C₃₁×#380	C₂²	semidirect
160. C₃₁×#380	C₂²	semidirect
161. C₃₁×#380	C₂²	semidirect
163. C₄×C₄⋊C₄×C₃₁	C₂²	semidirect
164. C₄×C₄⋊C₄×C₃₁	C₂²	semidirect
165. C₄×C₄⋊C₄×C₃₁	C₂²	semidirect
166. C₄×C₄⋊C₄×C₃₁	C₂²	semidirect
167. C₄×C₄⋊C₄×C₃₁	C₂²	semidirect
168. C₄×C₄⋊C₄×C₃₁	C₂²	semidirect
169. C₄×C₄⋊C₄×C₃₁	C₂²	semidirect
170. C₄×C₄⋊C₄×C₃₁	C₂²	semidirect
180. C₄×C₂²⋊C₄×C₃₁	C₂²	semidirect
181. C₄×C₂²⋊C₄×C₃₁	C₂²	semidirect
182. C₄×C₂²⋊C₄×C₃₁	C₂²	semidirect
183. C₄×C₂²⋊C₄×C₃₁	C₂²	semidirect
184. C₄×C₂²⋊C₄×C₃₁	C₂²	semidirect
185. C₃₁×#376	C₂²	semidirect
186. C₂×C₃₁×#95	C₂²	semidirect
187. C₂×C₃₁×#95	C₂²	semidirect
216. C₃₁×#127	C₂×C₄	semidirect
217. C₃₁×#126	C₂×C₄	semidirect
218. C₃₁×#126	C₂×C₄	semidirect
219. C₃₁×#123	C₂×C₄	semidirect
220. C₃₁×#123	C₂×C₄	semidirect
221. C₃₁×#123	C₂×C₄	semidirect
222. C₃₁×#121	C₂×C₄	semidirect
223. C₃₁×#121	C₂×C₄	semidirect
224. C₃₁×#121	C₂×C₄	semidirect
225. C₃₁×#121	C₂×C₄	semidirect
226. C₃₁×#121	C₂×C₄	semidirect
227. C₃₁×#121	C₂×C₄	semidirect
228. C₃₁×#120	C₂×C₄	semidirect
229. C₃₁×#120	C₂×C₄	semidirect
230. C₃₁×#120	C₂×C₄	semidirect
586. #34517	C₃₁	direct (N × H)
740. #2377	C₂×C₃₁	semidirect
741. #2377	C₂×C₃₁	semidirect
742. #2376	C₂×C₃₁	semidirect
743. #2373	C₂×C₃₁	semidirect
744. #2373	C₂×C₃₁	semidirect
745. #2366	C₂×C₃₁	semidirect
746. #2364	C₂×C₃₁	semidirect
747. #2364	C₂×C₃₁	semidirect
748. #2363	C₂×C₃₁	semidirect
749. #2363	C₂×C₃₁	semidirect
750. #2359	C₂×C₃₁	semidirect
751. #2359	C₂×C₃₁	semidirect
752. #2358	C₂×C₃₁	semidirect
753. #2358	C₂×C₃₁	semidirect
754. #2358	C₂×C₃₁	semidirect
755. #2335	C₂×C₃₁	semidirect
756. #2335	C₂×C₃₁	semidirect
757. #2334	C₂×C₃₁	semidirect
758. #2334	C₂×C₃₁	semidirect
759. #2328	C₂×C₃₁	semidirect
760. #2325	C₂×C₃₁	semidirect
761. #2325	C₂×C₃₁	semidirect
762. #2324	C₂×C₃₁	semidirect
763. #2324	C₂×C₃₁	semidirect
764. #2321	C₂×C₃₁	semidirect
765. #2321	C₂×C₃₁	semidirect
766. #2321	C₂×C₃₁	semidirect
767. C₄×#123	C₂×C₃₁	semidirect
768. C₄×#121	C₂×C₃₁	semidirect
769. C₄×#121	C₂×C₃₁	semidirect
845. #560	C₄×C₃₁	semidirect
870. C₂×C₄×D₄	C₂²×C₃₁	semidirect
871. C₂×C₄×D₄	C₂²×C₃₁	semidirect
872. C₂×C₄×D₄	C₂²×C₃₁	semidirect
873. C₂×#117	C₂²×C₃₁	semidirect
874. C₂×#117	C₂²×C₃₁	semidirect
878. C₂²×C₄²	C₂²×C₃₁	semidirect
888. #390	C₂²×C₃₁	semidirect
889. #390	C₂²×C₃₁	semidirect
890. #390	C₂²×C₃₁	semidirect
891. #389	C₂²×C₃₁	semidirect
892. #389	C₂²×C₃₁	semidirect
893. #389	C₂²×C₃₁	semidirect
894. #389	C₂²×C₃₁	semidirect
895. #389	C₂²×C₃₁	semidirect
896. #389	C₂²×C₃₁	semidirect
915. #388	C₂²×C₃₁	semidirect
916. #388	C₂²×C₃₁	semidirect
917. #388	C₂²×C₃₁	semidirect
918. #388	C₂²×C₃₁	semidirect
919. #388	C₂²×C₃₁	semidirect
920. #388	C₂²×C₃₁	semidirect
921. #387	C₂²×C₃₁	semidirect
922. #387	C₂²×C₃₁	semidirect
923. #387	C₂²×C₃₁	semidirect
924. #387	C₂²×C₃₁	semidirect
925. #387	C₂²×C₃₁	semidirect
926. #387	C₂²×C₃₁	semidirect
927. #387	C₂²×C₃₁	semidirect
928. #387	C₂²×C₃₁	semidirect
929. #387	C₂²×C₃₁	semidirect
930. #387	C₂²×C₃₁	semidirect
931. #387	C₂²×C₃₁	semidirect
932. #387	C₂²×C₃₁	semidirect
951. #386	C₂²×C₃₁	semidirect
952. #386	C₂²×C₃₁	semidirect
953. #386	C₂²×C₃₁	semidirect
954. #386	C₂²×C₃₁	semidirect
955. #386	C₂²×C₃₁	semidirect
956. #386	C₂²×C₃₁	semidirect
966. #385	C₂²×C₃₁	semidirect
967. #385	C₂²×C₃₁	semidirect
968. #385	C₂²×C₃₁	semidirect
969. #382	C₂²×C₃₁	semidirect
970. #381	C₂²×C₃₁	semidirect
971. #380	C₂²×C₃₁	semidirect
972. #380	C₂²×C₃₁	semidirect
973. #380	C₂²×C₃₁	semidirect
974. #380	C₂²×C₃₁	semidirect
976. C₄×C₄⋊C₄	C₂²×C₃₁	semidirect
977. C₄×C₄⋊C₄	C₂²×C₃₁	semidirect
978. C₄×C₄⋊C₄	C₂²×C₃₁	semidirect
979. C₄×C₄⋊C₄	C₂²×C₃₁	semidirect
980. C₄×C₄⋊C₄	C₂²×C₃₁	semidirect
981. C₄×C₄⋊C₄	C₂²×C₃₁	semidirect
982. C₄×C₄⋊C₄	C₂²×C₃₁	semidirect
983. C₄×C₄⋊C₄	C₂²×C₃₁	semidirect
993. C₄×C₂²⋊C₄	C₂²×C₃₁	semidirect
994. C₄×C₂²⋊C₄	C₂²×C₃₁	semidirect
995. C₄×C₂²⋊C₄	C₂²×C₃₁	semidirect
996. C₄×C₂²⋊C₄	C₂²×C₃₁	semidirect
997. C₄×C₂²⋊C₄	C₂²×C₃₁	semidirect
998. #376	C₂²×C₃₁	semidirect
999. C₂×#95	C₂²×C₃₁	semidirect
1000. C₂×#95	C₂²×C₃₁	semidirect
1042. #127	C₂×C₄×C₃₁	semidirect
1043. #126	C₂×C₄×C₃₁	semidirect
1044. #126	C₂×C₄×C₃₁	semidirect
1045. #123	C₂×C₄×C₃₁	semidirect
1046. #123	C₂×C₄×C₃₁	semidirect
1047. #123	C₂×C₄×C₃₁	semidirect
1048. #121	C₂×C₄×C₃₁	semidirect
1049. #121	C₂×C₄×C₃₁	semidirect
1050. #121	C₂×C₄×C₃₁	semidirect
1051. #121	C₂×C₄×C₃₁	semidirect
1052. #121	C₂×C₄×C₃₁	semidirect
1053. #121	C₂×C₄×C₃₁	semidirect
1054. #120	C₂×C₄×C₃₁	semidirect
1055. #120	C₂×C₄×C₃₁	semidirect
1056. #120	C₂×C₄×C₃₁	semidirect
1202. C₃₁	#34517	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×#560	2
C₃₁×#2377	2
C₃₁×#2376	2
C₃₁×#2373	2
C₃₁×#2366	2
C₃₁×#2364	2
C₃₁×#2363	2
C₃₁×#2359	2
C₃₁×#2358	2
C₃₁×#2335	2
C₃₁×#2334	2
C₃₁×#2328	2
C₃₁×#2325	2
C₃₁×#2324	2
C₃₁×#2321	2
C₄×C₃₁×#123	2
C₄×C₃₁×#121	2
#34517	31

Subgroups — C31×#34517 #21491276

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#34517 #21491276