Subgroups — C₃₁×#34840 #21491599

Order 7936.

1944 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#2590	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#2589	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#2588	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#2587	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#2586	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#2585	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#2583	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#2579	C₂	1	1	yes	maximal, characteristic
9	C₃₁×#2574	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#2564	C₂	1	1	yes	maximal, characteristic
11	C₃₁×#2556	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#2549	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#2505	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#2473	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#2450	C₂	1	1	yes	maximal, characteristic
16	C₃₁×#2449	C₂	1	1	yes	maximal, characteristic
17	C₃₁×#2402	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#2399	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#2396	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#2396	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₃₁×#125	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₃₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₃₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₃₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×C₃₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#2296	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#2295	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#2290	C₂	1	1	yes	maximal, characteristic
29	C₃₁×#2290	C₂	1	1	yes	maximal, characteristic
30	C₄²×D₄×C₃₁	C₂	1	1	yes	maximal, characteristic
31	C₂×C₄×C₄⋊C₄×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₃₁×#125	C₂²	1	1	yes	characteristic
33	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂×C₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
38	C₂×C₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
39	C₂×C₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
40	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
43	C₂×C₃₁×#117	C₂²	1	1	yes	characteristic
44	C₂×C₃₁×#117	C₂²	1	1	yes	characteristic
45	C₂²×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
46	C₂²×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
47	C₂²×C₄²×C₃₁	C₂²	1	1	yes	characteristic
48	C₂²×C₄²×C₃₁	C₂²	1	1	yes	characteristic
49	C₂²×C₄²×C₃₁	C₂²	1	1	yes	characteristic
50	C₂²×C₄²×C₃₁	C₂²	1	1	yes	characteristic
51	C₃₁×#400	C₂²	1	1	yes	characteristic
52	C₃₁×#400	C₂²	1	1	yes	characteristic
53	C₃₁×#400	C₂²	1	1	yes	characteristic
54	C₃₁×#400	C₂²	1	1	yes	characteristic
55	C₃₁×#400	C₂²	1	1	yes	characteristic
56	C₃₁×#400	C₂²	1	1	yes	characteristic
57	C₃₁×#399	C₂²	1	1	yes	characteristic
58	C₃₁×#399	C₂²	1	1	yes	characteristic
59	C₃₁×#398	C₂²	1	1	yes	characteristic
60	C₃₁×#398	C₂²	1	1	yes	characteristic
61	C₃₁×#398	C₂²	1	1	yes	characteristic
62	C₃₁×#398	C₂²	1	1	yes	characteristic
63	C₃₁×#398	C₂²	1	1	yes	characteristic
64	C₃₁×#398	C₂²	1	1	yes	characteristic
65	C₃₁×#398	C₂²	1	1	yes	characteristic
66	C₃₁×#398	C₂²	1	1	yes	characteristic
67	C₃₁×#398	C₂²	1	1	yes	characteristic
68	C₃₁×#398	C₂²	1	1	yes	characteristic
69	C₃₁×#398	C₂²	1	1	yes	characteristic
70	C₃₁×#398	C₂²	1	1	yes	characteristic
71	C₃₁×#396	C₂²	1	1	yes	characteristic
72	C₃₁×#396	C₂²	1	1	yes	characteristic
73	C₃₁×#396	C₂²	1	1	yes	characteristic
74	C₃₁×#396	C₂²	1	1	yes	characteristic
75	C₃₁×#395	C₂²	1	1	yes	characteristic
76	C₃₁×#395	C₂²	1	1	yes	characteristic
77	C₃₁×#395	C₂²	1	1	yes	characteristic
78	C₃₁×#395	C₂²	1	1	yes	characteristic
79	C₃₁×#395	C₂²	1	1	yes	characteristic
80	C₃₁×#395	C₂²	1	1	yes	characteristic
81	C₃₁×#393	C₂²	1	1	yes	characteristic
82	C₃₁×#393	C₂²	1	1	yes	characteristic
83	C₃₁×#391	C₂²	1	1	yes	characteristic
84	C₃₁×#391	C₂²	1	1	yes	characteristic
85	C₃₁×#391	C₂²	1	1	yes	characteristic
86	C₃₁×#391	C₂²	1	1	yes	characteristic
87	C₃₁×#391	C₂²	1	1	yes	characteristic
88	C₃₁×#391	C₂²	1	1	yes	characteristic
89	C₃₁×#389	C₂²	1	1	yes	characteristic
90	C₃₁×#389	C₂²	1	1	yes	characteristic
91	C₃₁×#389	C₂²	1	1	yes	characteristic
92	C₃₁×#389	C₂²	1	1	yes	characteristic
93	C₃₁×#389	C₂²	1	1	yes	characteristic
94	C₃₁×#389	C₂²	1	1	yes	characteristic
95	C₃₁×#389	C₂²	1	1	yes	characteristic
96	C₃₁×#389	C₂²	1	1	yes	characteristic
97	C₃₁×#389	C₂²	1	1	yes	characteristic
98	C₃₁×#389	C₂²	1	1	yes	characteristic
99	C₃₁×#389	C₂²	1	1	yes	characteristic
100	C₃₁×#389	C₂²	1	1	yes	characteristic
101	C₃₁×#388	C₂²	1	1	yes	characteristic
102	C₃₁×#388	C₂²	1	1	yes	characteristic
103	C₃₁×#388	C₂²	1	1	yes	characteristic
104	C₃₁×#388	C₂²	1	1	yes	characteristic
105	C₃₁×#387	C₂²	1	1	yes	characteristic
106	C₃₁×#387	C₂²	1	1	yes	characteristic
107	C₃₁×#387	C₂²	1	1	yes	characteristic
108	C₃₁×#387	C₂²	1	1	yes	characteristic
109	C₃₁×#387	C₂²	1	1	yes	characteristic
110	C₃₁×#387	C₂²	1	1	yes	characteristic
111	C₃₁×#387	C₂²	1	1	yes	characteristic
112	C₃₁×#387	C₂²	1	1	yes	characteristic
113	C₃₁×#387	C₂²	1	1	yes	characteristic
114	C₃₁×#387	C₂²	1	1	yes	characteristic
115	C₃₁×#387	C₂²	1	1	yes	characteristic
116	C₃₁×#387	C₂²	1	1	yes	characteristic
117	C₃₁×#387	C₂²	1	1	yes	characteristic
118	C₃₁×#387	C₂²	1	1	yes	characteristic
119	C₃₁×#387	C₂²	1	1	yes	characteristic
120	C₃₁×#387	C₂²	1	1	yes	characteristic
121	C₃₁×#387	C₂²	1	1	yes	characteristic
122	C₃₁×#387	C₂²	1	1	yes	characteristic
123	C₃₁×#387	C₂²	1	1	yes	characteristic
124	C₃₁×#387	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×#385	C₂²	1	1	yes	characteristic
130	C₃₁×#385	C₂²	1	1	yes	characteristic
131	C₃₁×#385	C₂²	1	1	yes	characteristic
132	C₃₁×#385	C₂²	1	1	yes	characteristic
133	C₃₁×#385	C₂²	1	1	yes	characteristic
134	C₃₁×#385	C₂²	1	1	yes	characteristic
135	C₃₁×#385	C₂²	1	1	yes	characteristic
136	C₃₁×#385	C₂²	1	1	yes	characteristic
137	C₃₁×#385	C₂²	1	1	yes	characteristic
138	C₃₁×#385	C₂²	1	1	yes	characteristic
139	C₃₁×#385	C₂²	1	1	yes	characteristic
140	C₃₁×#385	C₂²	1	1	yes	characteristic
141	C₃₁×#385	C₂²	1	1	yes	characteristic
142	C₃₁×#385	C₂²	1	1	yes	characteristic
143	C₃₁×#385	C₂²	1	1	yes	characteristic
144	C₃₁×#385	C₂²	1	1	yes	characteristic
145	C₃₁×#382	C₂²	1	1	yes	characteristic
146	C₃₁×#380	C₂²	1	1	yes	characteristic
147	C₃₁×#380	C₂²	1	1	yes	characteristic
148	C₃₁×#380	C₂²	1	1	yes	characteristic
149	C₃₁×#380	C₂²	1	1	yes	characteristic
150	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
151	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
152	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
153	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
154	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
155	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
156	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
157	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
158	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
159	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
160	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
161	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
162	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
163	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
164	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
165	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
166	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
167	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
168	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
169	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
170	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
171	C₄×C₄⋊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
181	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
182	C₃₁×#376	C₂²	1	1	yes	characteristic
183	C₃₁×#376	C₂²	1	1	yes	characteristic
184	C₂×C₃₁×#95	C₂²	1	1	yes	characteristic
185	C₂×C₃₁×#95	C₂²	1	1	yes	characteristic
186	C₄³×C₃₁	C₂²	1	1	yes	characteristic
187	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
201	C₃₁×#125	—	2	4	no	—
202	C₃₁×C₂²⋊Q₈	—	2	4	no	—
203	C₃₁×C₂²⋊Q₈	—	2	4	no	—
204	C₃₁×C₂²⋊Q₈	—	2	4	no	—
205	C₃₁×C₂²⋊Q₈	—	2	4	no	—
206	C₄×Q₈×C₃₁	—	2	4	no	—
207	C₄×Q₈×C₃₁	—	4	2	no	—
208	C₄×Q₈×C₃₁	—	4	2	no	—
209	C₄×D₄×C₃₁	—	2	4	no	—
210	C₄×D₄×C₃₁	—	2	4	no	—
211	C₄×D₄×C₃₁	Q₈	1	8	yes	complemented
212	C₃₁×#117	—	2	4	no	—
213	C₃₁×#117	—	4	2	no	—
214	C₂×C₄⋊C₄×C₃₁	—	2	4	no	—
215	C₂×C₄⋊C₄×C₃₁	—	2	4	no	—
216	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
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×C₄²×C₃₁	—	2	4	no	—
281	C₂×C₄²×C₃₁	—	4	2	no	—
282	C₂×C₄²×C₃₁	—	4	2	no	—
283	C₂×C₄²×C₃₁	—	4	2	no	—
284	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
285	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
286	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
287	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
288	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
289	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
290	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
291	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
292	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
293	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
294	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
309	C₃₁×#95	C₂³	1	1	yes	characteristic
310	C₃₁×#95	C₂³	1	1	yes	characteristic
311	C₃₁×#95	C₂³	1	1	yes	characteristic
312	C₃₁×#95	C₂³	1	1	yes	characteristic
313	C₃₁×#95	C₂³	1	1	yes	characteristic
314	C₃₁×#95	C₂³	1	1	yes	characteristic
315	C₃₁×#95	C₂³	1	1	yes	characteristic
316	C₃₁×#95	C₂³	1	1	yes	characteristic
317	C₃₁×#95	C₂³	1	1	yes	characteristic
318	C₃₁×#95	C₂³	1	1	yes	characteristic
319	C₃₁×#95	C₂³	1	1	yes	characteristic
320	C₃₁×#95	C₂³	1	1	yes	characteristic
321	C₃₁×#95	C₂³	1	1	yes	characteristic
322	C₃₁×#95	C₂³	1	1	yes	characteristic
323	C₃₁×#95	C₂³	1	1	yes	characteristic
324	C₃₁×#95	C₂³	1	1	yes	characteristic
325	C₃₁×#95	C₂³	1	1	yes	characteristic
326	C₃₁×#95	C₂³	1	1	yes	characteristic
327	C₃₁×#95	C₂³	1	1	yes	characteristic
328	C₃₁×#95	C₂³	1	1	yes	characteristic
329	C₃₁×#95	C₂³	1	1	yes	characteristic
330	C₃₁×#95	C₂³	1	1	yes	characteristic
331	C₃₁×#95	C₂³	1	1	yes	characteristic
332	C₃₁×#95	C₂³	1	1	yes	characteristic
333	C₃₁×#95	C₂³	1	1	yes	characteristic
334	C₃₁×#95	C₂³	1	1	yes	characteristic
335	C₃₁×#95	C₂³	1	1	yes	characteristic
336	C₃₁×#95	C₂³	1	1	yes	characteristic
337	C₃₁×#95	C₂³	1	1	yes	characteristic
338	C₃₁×#95	C₂³	1	1	yes	characteristic
339	C₃₁×#95	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	C₂⁴×C₃₁	C₂⁴	1	1	yes	characteristic
362	C₂⁴×C₃₁	C₂⁴	1	1	yes	characteristic
363	C₂×Q₈×C₃₁	—	2	2	no	—
364	C₂×Q₈×C₃₁	—	2	2	no	—
365	C₂×Q₈×C₃₁	—	2	2	no	—
366	C₂×Q₈×C₃₁	—	2	2	no	—
367	C₂×Q₈×C₃₁	—	2	2	no	—
368	C₂×Q₈×C₃₁	—	4	1	no	—
369	C₂×Q₈×C₃₁	—	4	1	no	—
370	C₂×Q₈×C₃₁	—	4	1	no	—
371	C₂×Q₈×C₃₁	—	4	1	no	—
372	C₂×D₄×C₃₁	—	2	2	no	—
373	C₂×D₄×C₃₁	—	2	2	no	—
374	C₂×D₄×C₃₁	C₂×Q₈	1	4	yes	—
375	C₂²×C₄×C₃₁	—	2	2	no	—
376	C₂²×C₄×C₃₁	—	2	2	no	—
377	C₂²×C₄×C₃₁	—	2	2	no	—
378	C₂²×C₄×C₃₁	—	2	2	no	—
379	C₂²×C₄×C₃₁	—	2	2	no	—
380	C₂²×C₄×C₃₁	—	2	2	no	—
381	C₂²×C₄×C₃₁	—	2	2	no	—
382	C₂²×C₄×C₃₁	—	2	2	no	—
383	C₂²×C₄×C₃₁	—	2	2	no	—
384	C₂²×C₄×C₃₁	—	2	2	no	—
385	C₂²×C₄×C₃₁	—	2	2	no	—
386	C₂²×C₄×C₃₁	—	2	2	no	—
387	C₂²×C₄×C₃₁	—	2	2	no	—
388	C₂²×C₄×C₃₁	—	2	2	no	—
389	C₂²×C₄×C₃₁	—	2	2	no	—
390	C₂²×C₄×C₃₁	—	2	2	no	—
391	C₂²×C₄×C₃₁	—	2	2	no	—
392	C₂²×C₄×C₃₁	—	4	1	no	—
393	C₂²×C₄×C₃₁	—	4	1	no	—
394	C₂²×C₄×C₃₁	—	4	1	no	—
395	C₂²×C₄×C₃₁	—	4	1	no	—
396	C₂²×C₄×C₃₁	—	4	1	no	—
397	C₂²×C₄×C₃₁	—	4	1	no	—
398	C₂²×C₄×C₃₁	—	4	1	no	—
399	C₂²×C₄×C₃₁	—	4	1	no	—
400	C₂²×C₄×C₃₁	—	4	1	no	—
401	C₂²×C₄×C₃₁	—	4	1	no	—
402	C₂²×C₄×C₃₁	C₂×Q₈	1	4	yes	—
403	C₂²×C₄×C₃₁	C₂×Q₈	1	4	yes	—
404	C₂²×C₄×C₃₁	#41	1	4	yes	—
405	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
434	C₄⋊C₄×C₃₁	—	2	2	no	—
435	C₄⋊C₄×C₃₁	—	2	2	no	—
436	C₄⋊C₄×C₃₁	—	2	2	no	—
437	C₄⋊C₄×C₃₁	—	2	2	no	—
438	C₄⋊C₄×C₃₁	—	2	2	no	—
439	C₄⋊C₄×C₃₁	—	2	2	no	—
440	C₄⋊C₄×C₃₁	—	2	2	no	—
441	C₄⋊C₄×C₃₁	—	2	2	no	—
442	C₄⋊C₄×C₃₁	—	2	2	no	—
443	C₄⋊C₄×C₃₁	—	2	2	no	—
444	C₄⋊C₄×C₃₁	—	2	2	no	—
445	C₄⋊C₄×C₃₁	—	2	2	no	—
446	C₄⋊C₄×C₃₁	—	2	2	no	—
447	C₄⋊C₄×C₃₁	—	2	2	no	—
448	C₄⋊C₄×C₃₁	—	2	2	no	—
449	C₄⋊C₄×C₃₁	—	2	2	no	—
450	C₄⋊C₄×C₃₁	—	2	2	no	—
451	C₄⋊C₄×C₃₁	—	2	2	no	—
452	C₄⋊C₄×C₃₁	—	2	2	no	—
453	C₄⋊C₄×C₃₁	—	2	2	no	—
454	C₄⋊C₄×C₃₁	—	2	2	no	—
455	C₄⋊C₄×C₃₁	—	2	2	no	—
456	C₄⋊C₄×C₃₁	—	2	2	no	—
457	C₄⋊C₄×C₃₁	—	2	2	no	—
458	C₄⋊C₄×C₃₁	—	2	2	no	—
459	C₄⋊C₄×C₃₁	—	2	2	no	—
460	C₄⋊C₄×C₃₁	—	2	2	no	—
461	C₄⋊C₄×C₃₁	—	2	2	no	—
462	C₄⋊C₄×C₃₁	—	2	2	no	—
463	C₄⋊C₄×C₃₁	—	2	2	no	—
464	C₄⋊C₄×C₃₁	—	4	1	no	—
465	C₄⋊C₄×C₃₁	—	4	1	no	—
466	C₄⋊C₄×C₃₁	—	4	1	no	—
467	C₄⋊C₄×C₃₁	—	4	1	no	—
468	C₄⋊C₄×C₃₁	—	4	1	no	—
469	C₄⋊C₄×C₃₁	—	4	1	no	—
470	C₄⋊C₄×C₃₁	—	4	1	no	—
471	C₄⋊C₄×C₃₁	—	4	1	no	—
472	C₄⋊C₄×C₃₁	—	4	1	no	—
473	C₄⋊C₄×C₃₁	—	4	1	no	—
474	C₄⋊C₄×C₃₁	—	4	1	no	—
475	C₄⋊C₄×C₃₁	—	4	1	no	—
476	C₄⋊C₄×C₃₁	—	4	1	no	—
477	C₄⋊C₄×C₃₁	—	4	1	no	—
478	C₄⋊C₄×C₃₁	C₂×Q₈	1	4	yes	—
479	C₄⋊C₄×C₃₁	#41	1	4	yes	—
480	C₂²⋊C₄×C₃₁	—	2	2	no	—
481	C₂²⋊C₄×C₃₁	—	2	2	no	—
482	C₂²⋊C₄×C₃₁	—	2	2	no	—
483	C₂²⋊C₄×C₃₁	—	2	2	no	—
484	C₂²⋊C₄×C₃₁	—	2	2	no	—
485	C₂²⋊C₄×C₃₁	—	2	2	no	—
486	C₂²⋊C₄×C₃₁	—	2	2	no	—
487	C₂²⋊C₄×C₃₁	—	2	2	no	—
488	C₂²⋊C₄×C₃₁	—	2	2	no	—
489	C₂²⋊C₄×C₃₁	—	2	2	no	—
490	C₂²⋊C₄×C₃₁	—	2	2	no	—
491	C₂²⋊C₄×C₃₁	—	4	1	no	—
492	C₂²⋊C₄×C₃₁	—	4	1	no	—
493	C₂²⋊C₄×C₃₁	—	4	1	no	—
494	C₂²⋊C₄×C₃₁	—	4	1	no	—
495	C₂²⋊C₄×C₃₁	C₂×Q₈	1	4	yes	—
496	C₂²⋊C₄×C₃₁	C₂×Q₈	1	4	yes	—
497	C₂²⋊C₄×C₃₁	#41	1	4	yes	—
498	C₄²×C₃₁	—	2	2	no	—
499	C₄²×C₃₁	—	2	2	no	—
500	C₄²×C₃₁	—	2	2	no	—
501	C₄²×C₃₁	—	2	2	no	—
502	C₄²×C₃₁	—	2	2	no	—
503	C₄²×C₃₁	—	2	2	no	—
504	C₄²×C₃₁	—	2	2	no	—
505	C₄²×C₃₁	—	2	2	no	—
506	C₄²×C₃₁	—	2	2	no	—
507	C₄²×C₃₁	—	2	2	no	—
508	C₄²×C₃₁	—	2	2	no	—
509	C₄²×C₃₁	—	2	2	no	—
510	C₄²×C₃₁	—	2	2	no	—
511	C₄²×C₃₁	—	2	2	no	—
512	C₄²×C₃₁	—	2	2	no	—
513	C₄²×C₃₁	—	2	2	no	—
514	C₄²×C₃₁	—	4	1	no	—
515	C₄²×C₃₁	—	4	1	no	—
516	C₄²×C₃₁	—	4	1	no	—
517	C₄²×C₃₁	—	4	1	no	—
518	C₄²×C₃₁	—	4	1	no	—
519	C₄²×C₃₁	—	4	1	no	—
520	C₄²×C₃₁	—	4	1	no	—
521	C₄²×C₃₁	C₂×Q₈	1	4	yes	—
522	C₄²×C₃₁	#41	1	4	yes	—
523	#34840	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
524	C₂³×C₃₁	—	2	1	no	—
525	C₂³×C₃₁	—	2	1	no	—
526	C₂³×C₃₁	—	2	1	no	—
527	C₂³×C₃₁	—	2	1	no	—
528	C₂³×C₃₁	—	2	1	no	—
529	C₂³×C₃₁	—	2	1	no	—
530	C₂³×C₃₁	—	2	1	no	—
531	C₂³×C₃₁	—	2	1	no	—
532	C₂³×C₃₁	—	2	1	no	—
533	C₂³×C₃₁	—	2	1	no	—
534	C₂³×C₃₁	C₂²×Q₈	1	2	yes	—
535	C₂³×C₃₁	C₂²×Q₈	1	2	yes	—
536	C₂³×C₃₁	C₂×#41	1	2	yes	—
537	C₂³×C₃₁	C₂×#41	1	2	yes	—
538	C₂³×C₃₁	C₂⁵	1	1	yes	characteristic
539	Q₈×C₃₁	—	4	4	no	—
540	Q₈×C₃₁	—	4	4	no	—
541	Q₈×C₃₁	—	4	4	no	—
542	D₄×C₃₁	—	2	8	no	—
543	C₂×C₄×C₃₁	—	2	8	no	—
544	C₂×C₄×C₃₁	—	2	1	no	—
545	C₂×C₄×C₃₁	—	2	1	no	—
546	C₂×C₄×C₃₁	—	2	1	no	—
547	C₂×C₄×C₃₁	—	2	1	no	—
548	C₂×C₄×C₃₁	—	2	1	no	—
549	C₂×C₄×C₃₁	—	2	1	no	—
550	C₂×C₄×C₃₁	—	2	1	no	—
551	C₂×C₄×C₃₁	—	2	1	no	—
552	C₂×C₄×C₃₁	—	2	1	no	—
553	C₂×C₄×C₃₁	—	2	1	no	—
554	C₂×C₄×C₃₁	—	2	1	no	—
555	C₂×C₄×C₃₁	—	2	1	no	—
556	C₂×C₄×C₃₁	—	2	1	no	—
557	C₂×C₄×C₃₁	—	2	1	no	—
558	C₂×C₄×C₃₁	—	2	1	no	—
559	C₂×C₄×C₃₁	—	2	1	no	—
560	C₂×C₄×C₃₁	—	2	1	no	—
561	C₂×C₄×C₃₁	—	2	1	no	—
562	C₂×C₄×C₃₁	—	2	1	no	—
563	C₂×C₄×C₃₁	—	2	1	no	—
564	C₂×C₄×C₃₁	—	2	1	no	—
565	C₂×C₄×C₃₁	—	2	1	no	—
566	C₂×C₄×C₃₁	—	2	1	no	—
567	C₂×C₄×C₃₁	—	2	1	no	—
568	C₂×C₄×C₃₁	—	2	1	no	—
569	C₂×C₄×C₃₁	—	2	1	no	—
570	C₂×C₄×C₃₁	—	2	8	no	—
571	C₂×C₄×C₃₁	—	2	8	no	—
572	C₂×C₄×C₃₁	—	2	1	no	—
573	C₂×C₄×C₃₁	—	2	1	no	—
574	C₂×C₄×C₃₁	—	2	1	no	—
575	C₂×C₄×C₃₁	—	2	1	no	—
576	C₂×C₄×C₃₁	—	2	1	no	—
577	C₂×C₄×C₃₁	—	2	1	no	—
578	C₂×C₄×C₃₁	—	2	1	no	—
579	C₂×C₄×C₃₁	—	2	1	no	—
580	C₂×C₄×C₃₁	—	2	1	no	—
581	C₂×C₄×C₃₁	—	2	1	no	—
582	C₂×C₄×C₃₁	—	2	1	no	—
583	C₂×C₄×C₃₁	—	2	1	no	—
584	C₂×C₄×C₃₁	—	2	1	no	—
585	C₂×C₄×C₃₁	—	2	1	no	—
586	C₂×C₄×C₃₁	—	2	1	no	—
587	C₂×C₄×C₃₁	—	2	1	no	—
588	C₂×C₄×C₃₁	—	2	1	no	—
589	C₂×C₄×C₃₁	—	2	1	no	—
590	C₂×C₄×C₃₁	—	2	1	no	—
591	C₂×C₄×C₃₁	—	2	1	no	—
592	C₂×C₄×C₃₁	—	2	1	no	—
593	C₂×C₄×C₃₁	—	2	1	no	—
594	C₂×C₄×C₃₁	—	2	1	no	—
595	C₂×C₄×C₃₁	—	2	1	no	—
596	C₂×C₄×C₃₁	—	2	1	no	—
597	C₂×C₄×C₃₁	—	2	1	no	—
598	C₂×C₄×C₃₁	—	2	1	no	—
599	C₂×C₄×C₃₁	—	2	1	no	—
600	C₂×C₄×C₃₁	—	2	1	no	—
601	C₂×C₄×C₃₁	—	2	1	no	—
602	C₂×C₄×C₃₁	—	2	1	no	—
603	C₂×C₄×C₃₁	—	2	1	no	—
604	C₂×C₄×C₃₁	—	2	1	no	—
605	C₂×C₄×C₃₁	—	2	1	no	—
606	C₂×C₄×C₃₁	—	2	1	no	—
607	C₂×C₄×C₃₁	—	2	1	no	—
608	C₂×C₄×C₃₁	—	2	1	no	—
609	C₂×C₄×C₃₁	—	2	1	no	—
610	C₂×C₄×C₃₁	—	2	1	no	—
611	C₂×C₄×C₃₁	—	2	1	no	—
612	C₂×C₄×C₃₁	—	2	1	no	—
613	C₂×C₄×C₃₁	—	2	1	no	—
614	C₂×C₄×C₃₁	—	2	1	no	—
615	C₂×C₄×C₃₁	—	2	1	no	—
616	C₂×C₄×C₃₁	—	2	1	no	—
617	C₂×C₄×C₃₁	—	4	4	no	—
618	C₂×C₄×C₃₁	—	4	4	no	—
619	C₂×C₄×C₃₁	—	4	4	no	—
620	C₂×C₄×C₃₁	—	4	4	no	—
621	C₂×C₄×C₃₁	—	4	4	no	—
622	C₂×C₄×C₃₁	—	4	4	no	—
623	C₂×C₄×C₃₁	—	4	4	no	—
624	C₂×C₄×C₃₁	C₂²×Q₈	1	2	yes	—
625	C₂×C₄×C₃₁	C₂²×Q₈	1	2	yes	—
626	C₂×C₄×C₃₁	C₂²×Q₈	1	2	yes	—
627	C₂×C₄×C₃₁	C₂²×Q₈	1	2	yes	—
628	C₂×C₄×C₃₁	C₂²×Q₈	1	2	yes	—
629	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
630	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
631	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
632	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
633	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
634	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
635	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
636	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
637	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
638	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
639	C₂×C₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
640	#2590	C₂×C₃₁	1	1	yes	characteristic, complemented
641	#2589	C₂×C₃₁	1	1	yes	characteristic, complemented
642	#2588	C₂×C₃₁	1	1	yes	characteristic, complemented
643	#2587	C₂×C₃₁	1	1	yes	characteristic, complemented
644	#2586	C₂×C₃₁	1	1	yes	characteristic, complemented
645	#2585	C₂×C₃₁	1	1	yes	characteristic, complemented
646	#2583	C₂×C₃₁	1	1	yes	characteristic, complemented
647	#2579	C₂×C₃₁	1	1	yes	characteristic
648	#2574	C₂×C₃₁	1	1	yes	characteristic, complemented
649	#2564	C₂×C₃₁	1	1	yes	characteristic
650	#2556	C₂×C₃₁	1	1	yes	characteristic, complemented
651	#2549	C₂×C₃₁	1	1	yes	characteristic, complemented
652	#2505	C₂×C₃₁	1	1	yes	characteristic, complemented
653	#2473	C₂×C₃₁	1	1	yes	characteristic, complemented
654	#2450	C₂×C₃₁	1	1	yes	characteristic
655	#2449	C₂×C₃₁	1	1	yes	characteristic
656	#2402	C₂×C₃₁	1	1	yes	characteristic, complemented
657	#2399	C₂×C₃₁	1	1	yes	characteristic, complemented
658	#2396	C₂×C₃₁	1	1	yes	characteristic, complemented
659	#2396	C₂×C₃₁	1	1	yes	characteristic, complemented
660	C₄×#125	C₂×C₃₁	1	1	yes	characteristic, complemented
661	C₄×C₂²⋊Q₈	C₂×C₃₁	1	1	yes	characteristic, complemented
662	C₄×C₂²⋊Q₈	C₂×C₃₁	1	1	yes	characteristic, complemented
663	C₄×C₂²⋊Q₈	C₂×C₃₁	1	1	yes	characteristic, complemented
664	C₄×C₂²⋊Q₈	C₂×C₃₁	1	1	yes	characteristic, complemented
665	#2296	C₂×C₃₁	1	1	yes	characteristic, complemented
666	#2295	C₂×C₃₁	1	1	yes	characteristic, complemented
667	#2290	C₂×C₃₁	1	1	yes	characteristic
668	#2290	C₂×C₃₁	1	1	yes	characteristic
669	C₄²×D₄	C₂×C₃₁	1	1	yes	characteristic
670	C₂×C₄×C₄⋊C₄	C₂×C₃₁	1	1	yes	characteristic, complemented
671	C₂²×C₃₁	—	2	2	no	—
672	C₂²×C₃₁	—	2	2	no	—
673	C₂²×C₃₁	—	2	2	no	—
674	C₂²×C₃₁	—	2	2	no	—
675	C₂²×C₃₁	—	2	2	no	—
676	C₂²×C₃₁	—	2	2	no	—
677	C₂²×C₃₁	—	2	2	no	—
678	C₂²×C₃₁	—	2	2	no	—
679	C₂²×C₃₁	—	2	2	no	—
680	C₂²×C₃₁	—	4	1	no	—
681	C₂²×C₃₁	—	4	1	no	—
682	C₂²×C₃₁	—	4	1	no	—
683	C₂²×C₃₁	—	4	1	no	—
684	C₂²×C₃₁	#533	1	4	yes	—
685	C₂²×C₃₁	C₂³×Q₈	1	1	yes	characteristic
686	C₂²×C₃₁	C₂²×#41	1	1	yes	characteristic
687	C₂²×C₃₁	C₂²×#41	1	1	yes	characteristic
688	C₂²×C₃₁	C₂²×#41	1	1	yes	characteristic
689	C₂²×C₃₁	C₂²×#41	1	1	yes	characteristic
690	C₂²×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
691	C₂²×C₃₁	#585	1	1	yes	characteristic
692	C₄×C₃₁	—	2	2	no	—
693	C₄×C₃₁	—	2	2	no	—
694	C₄×C₃₁	—	2	2	no	—
695	C₄×C₃₁	—	2	2	no	—
696	C₄×C₃₁	—	2	2	no	—
697	C₄×C₃₁	—	2	2	no	—
698	C₄×C₃₁	—	2	2	no	—
699	C₄×C₃₁	—	2	2	no	—
700	C₄×C₃₁	—	2	2	no	—
701	C₄×C₃₁	—	2	2	no	—
702	C₄×C₃₁	—	2	2	no	—
703	C₄×C₃₁	—	2	2	no	—
704	C₄×C₃₁	—	2	2	no	—
705	C₄×C₃₁	—	4	1	no	—
706	C₄×C₃₁	—	4	1	no	—
707	C₄×C₃₁	—	4	1	no	—
708	C₄×C₃₁	—	4	1	no	—
709	C₄×C₃₁	—	4	1	no	—
710	C₄×C₃₁	—	4	1	no	—
711	C₄×C₃₁	—	4	1	no	—
712	C₄×C₃₁	—	4	1	no	—
713	C₄×C₃₁	—	4	1	no	—
714	C₄×C₃₁	—	4	1	no	—
715	C₄×C₃₁	—	4	1	no	—
716	C₄×C₃₁	—	4	1	no	—
717	C₄×C₃₁	—	4	1	no	—
718	C₄×C₃₁	—	4	1	no	—
719	C₄×C₃₁	—	4	1	no	—
720	C₄×C₃₁	#554	1	4	yes	—
721	C₂×#125	C₂²×C₃₁	1	1	yes	characteristic
722	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
723	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
724	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
725	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
726	C₂×C₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
727	C₂×C₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
728	C₂×C₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
729	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
730	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
731	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
732	C₂×#117	C₂²×C₃₁	1	1	yes	characteristic
733	C₂×#117	C₂²×C₃₁	1	1	yes	characteristic
734	C₂²×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
735	C₂²×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
736	C₂²×C₄²	C₂²×C₃₁	1	1	yes	characteristic
737	C₂²×C₄²	C₂²×C₃₁	1	1	yes	characteristic
738	C₂²×C₄²	C₂²×C₃₁	1	1	yes	characteristic
739	C₂²×C₄²	C₂²×C₃₁	1	1	yes	characteristic
740	#400	C₂²×C₃₁	1	1	yes	characteristic
741	#400	C₂²×C₃₁	1	1	yes	characteristic
742	#400	C₂²×C₃₁	1	1	yes	characteristic
743	#400	C₂²×C₃₁	1	1	yes	characteristic
744	#400	C₂²×C₃₁	1	1	yes	characteristic
745	#400	C₂²×C₃₁	1	1	yes	characteristic
746	#399	C₂²×C₃₁	1	1	yes	characteristic
747	#399	C₂²×C₃₁	1	1	yes	characteristic
748	#398	C₂²×C₃₁	1	1	yes	characteristic
749	#398	C₂²×C₃₁	1	1	yes	characteristic
750	#398	C₂²×C₃₁	1	1	yes	characteristic
751	#398	C₂²×C₃₁	1	1	yes	characteristic
752	#398	C₂²×C₃₁	1	1	yes	characteristic
753	#398	C₂²×C₃₁	1	1	yes	characteristic
754	#398	C₂²×C₃₁	1	1	yes	characteristic
755	#398	C₂²×C₃₁	1	1	yes	characteristic
756	#398	C₂²×C₃₁	1	1	yes	characteristic
757	#398	C₂²×C₃₁	1	1	yes	characteristic
758	#398	C₂²×C₃₁	1	1	yes	characteristic
759	#398	C₂²×C₃₁	1	1	yes	characteristic
760	#396	C₂²×C₃₁	1	1	yes	characteristic
761	#396	C₂²×C₃₁	1	1	yes	characteristic
762	#396	C₂²×C₃₁	1	1	yes	characteristic
763	#396	C₂²×C₃₁	1	1	yes	characteristic
764	#395	C₂²×C₃₁	1	1	yes	characteristic
765	#395	C₂²×C₃₁	1	1	yes	characteristic
766	#395	C₂²×C₃₁	1	1	yes	characteristic
767	#395	C₂²×C₃₁	1	1	yes	characteristic
768	#395	C₂²×C₃₁	1	1	yes	characteristic
769	#395	C₂²×C₃₁	1	1	yes	characteristic
770	#393	C₂²×C₃₁	1	1	yes	characteristic
771	#393	C₂²×C₃₁	1	1	yes	characteristic
772	#391	C₂²×C₃₁	1	1	yes	characteristic
773	#391	C₂²×C₃₁	1	1	yes	characteristic
774	#391	C₂²×C₃₁	1	1	yes	characteristic
775	#391	C₂²×C₃₁	1	1	yes	characteristic
776	#391	C₂²×C₃₁	1	1	yes	characteristic
777	#391	C₂²×C₃₁	1	1	yes	characteristic
778	#389	C₂²×C₃₁	1	1	yes	characteristic
779	#389	C₂²×C₃₁	1	1	yes	characteristic
780	#389	C₂²×C₃₁	1	1	yes	characteristic
781	#389	C₂²×C₃₁	1	1	yes	characteristic
782	#389	C₂²×C₃₁	1	1	yes	characteristic
783	#389	C₂²×C₃₁	1	1	yes	characteristic
784	#389	C₂²×C₃₁	1	1	yes	characteristic
785	#389	C₂²×C₃₁	1	1	yes	characteristic
786	#389	C₂²×C₃₁	1	1	yes	characteristic
787	#389	C₂²×C₃₁	1	1	yes	characteristic
788	#389	C₂²×C₃₁	1	1	yes	characteristic
789	#389	C₂²×C₃₁	1	1	yes	characteristic
790	#388	C₂²×C₃₁	1	1	yes	characteristic
791	#388	C₂²×C₃₁	1	1	yes	characteristic
792	#388	C₂²×C₃₁	1	1	yes	characteristic
793	#388	C₂²×C₃₁	1	1	yes	characteristic
794	#387	C₂²×C₃₁	1	1	yes	characteristic
795	#387	C₂²×C₃₁	1	1	yes	characteristic
796	#387	C₂²×C₃₁	1	1	yes	characteristic
797	#387	C₂²×C₃₁	1	1	yes	characteristic
798	#387	C₂²×C₃₁	1	1	yes	characteristic
799	#387	C₂²×C₃₁	1	1	yes	characteristic
800	#387	C₂²×C₃₁	1	1	yes	characteristic
801	#387	C₂²×C₃₁	1	1	yes	characteristic
802	#387	C₂²×C₃₁	1	1	yes	characteristic
803	#387	C₂²×C₃₁	1	1	yes	characteristic
804	#387	C₂²×C₃₁	1	1	yes	characteristic
805	#387	C₂²×C₃₁	1	1	yes	characteristic
806	#387	C₂²×C₃₁	1	1	yes	characteristic
807	#387	C₂²×C₃₁	1	1	yes	characteristic
808	#387	C₂²×C₃₁	1	1	yes	characteristic
809	#387	C₂²×C₃₁	1	1	yes	characteristic
810	#387	C₂²×C₃₁	1	1	yes	characteristic
811	#387	C₂²×C₃₁	1	1	yes	characteristic
812	#387	C₂²×C₃₁	1	1	yes	characteristic
813	#387	C₂²×C₃₁	1	1	yes	characteristic
814	#386	C₂²×C₃₁	1	1	yes	characteristic
815	#386	C₂²×C₃₁	1	1	yes	characteristic
816	#386	C₂²×C₃₁	1	1	yes	characteristic
817	#386	C₂²×C₃₁	1	1	yes	characteristic
818	#385	C₂²×C₃₁	1	1	yes	characteristic
819	#385	C₂²×C₃₁	1	1	yes	characteristic
820	#385	C₂²×C₃₁	1	1	yes	characteristic
821	#385	C₂²×C₃₁	1	1	yes	characteristic
822	#385	C₂²×C₃₁	1	1	yes	characteristic
823	#385	C₂²×C₃₁	1	1	yes	characteristic
824	#385	C₂²×C₃₁	1	1	yes	characteristic
825	#385	C₂²×C₃₁	1	1	yes	characteristic
826	#385	C₂²×C₃₁	1	1	yes	characteristic
827	#385	C₂²×C₃₁	1	1	yes	characteristic
828	#385	C₂²×C₃₁	1	1	yes	characteristic
829	#385	C₂²×C₃₁	1	1	yes	characteristic
830	#385	C₂²×C₃₁	1	1	yes	characteristic
831	#385	C₂²×C₃₁	1	1	yes	characteristic
832	#385	C₂²×C₃₁	1	1	yes	characteristic
833	#385	C₂²×C₃₁	1	1	yes	characteristic
834	#382	C₂²×C₃₁	1	1	yes	characteristic
835	#380	C₂²×C₃₁	1	1	yes	characteristic
836	#380	C₂²×C₃₁	1	1	yes	characteristic
837	#380	C₂²×C₃₁	1	1	yes	characteristic
838	#380	C₂²×C₃₁	1	1	yes	characteristic
839	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
840	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
841	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
842	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
843	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
844	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
845	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
846	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
847	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
848	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
849	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
850	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
851	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
852	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
853	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
854	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
855	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
856	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
857	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
858	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
859	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
860	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
861	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
862	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
863	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
864	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
865	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
866	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
867	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
868	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
869	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
870	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
871	#376	C₂²×C₃₁	1	1	yes	characteristic
872	#376	C₂²×C₃₁	1	1	yes	characteristic
873	C₂×#95	C₂²×C₃₁	1	1	yes	characteristic
874	C₂×#95	C₂²×C₃₁	1	1	yes	characteristic
875	C₄³	C₂²×C₃₁	1	1	yes	characteristic
876	C₂×C₃₁	—	2	4	no	—
877	C₂×C₃₁	—	4	2	no	—
878	C₂×C₃₁	C₂×#533	1	1	yes	characteristic
879	C₂×C₃₁	#3444	1	1	yes	characteristic
880	C₂×C₃₁	#3459	1	1	yes	characteristic
881	C₂×C₃₁	C₂×#554	1	1	yes	characteristic
882	C₂×C₃₁	#3475	1	1	yes	characteristic
883	C₂×C₃₁	Q₈×#41	1	1	yes	characteristic
884	C₂×C₃₁	#3481	1	1	yes	characteristic
885	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
886	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
887	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
888	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
889	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
890	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
891	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
892	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
893	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
894	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
895	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
896	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
897	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
898	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
899	#125	—	2	4	no	—
900	C₂²⋊Q₈	—	2	4	no	—
901	C₂²⋊Q₈	—	2	4	no	—
902	C₂²⋊Q₈	—	2	4	no	—
903	C₂²⋊Q₈	—	2	4	no	—
904	C₄×Q₈	—	2	4	no	—
905	C₄×Q₈	—	4	2	no	—
906	C₄×Q₈	—	4	2	no	—
907	C₄×D₄	—	2	4	no	—
908	C₄×D₄	—	2	4	no	—
909	C₄×D₄	Q₈×C₃₁	1	8	yes	complemented
910	#117	—	2	4	no	—
911	#117	—	4	2	no	—
912	C₂×C₄⋊C₄	—	2	4	no	—
913	C₂×C₄⋊C₄	—	2	4	no	—
914	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
925	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
927	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
928	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
929	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
930	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
931	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
932	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
933	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
938	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
939	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
940	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
948	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
950	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
951	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
960	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
962	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
963	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
964	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
965	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
966	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
967	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
968	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
969	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
970	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
971	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
972	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
973	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
974	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
975	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
976	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
978	C₂×C₄²	—	2	4	no	—
979	C₂×C₄²	—	4	2	no	—
980	C₂×C₄²	—	4	2	no	—
981	C₂×C₄²	—	4	2	no	—
982	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
983	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
984	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
985	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
986	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
987	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
988	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
989	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
990	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
991	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
992	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
993	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
994	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
995	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
996	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
997	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
998	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
999	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1000	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1001	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1002	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1003	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1004	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1005	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1006	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1007	#95	C₂³×C₃₁	1	1	yes	characteristic
1008	#95	C₂³×C₃₁	1	1	yes	characteristic
1009	#95	C₂³×C₃₁	1	1	yes	characteristic
1010	#95	C₂³×C₃₁	1	1	yes	characteristic
1011	#95	C₂³×C₃₁	1	1	yes	characteristic
1012	#95	C₂³×C₃₁	1	1	yes	characteristic
1013	#95	C₂³×C₃₁	1	1	yes	characteristic
1014	#95	C₂³×C₃₁	1	1	yes	characteristic
1015	#95	C₂³×C₃₁	1	1	yes	characteristic
1016	#95	C₂³×C₃₁	1	1	yes	characteristic
1017	#95	C₂³×C₃₁	1	1	yes	characteristic
1018	#95	C₂³×C₃₁	1	1	yes	characteristic
1019	#95	C₂³×C₃₁	1	1	yes	characteristic
1020	#95	C₂³×C₃₁	1	1	yes	characteristic
1021	#95	C₂³×C₃₁	1	1	yes	characteristic
1022	#95	C₂³×C₃₁	1	1	yes	characteristic
1023	#95	C₂³×C₃₁	1	1	yes	characteristic
1024	#95	C₂³×C₃₁	1	1	yes	characteristic
1025	#95	C₂³×C₃₁	1	1	yes	characteristic
1026	#95	C₂³×C₃₁	1	1	yes	characteristic
1027	#95	C₂³×C₃₁	1	1	yes	characteristic
1028	#95	C₂³×C₃₁	1	1	yes	characteristic
1029	#95	C₂³×C₃₁	1	1	yes	characteristic
1030	#95	C₂³×C₃₁	1	1	yes	characteristic
1031	#95	C₂³×C₃₁	1	1	yes	characteristic
1032	#95	C₂³×C₃₁	1	1	yes	characteristic
1033	#95	C₂³×C₃₁	1	1	yes	characteristic
1034	#95	C₂³×C₃₁	1	1	yes	characteristic
1035	#95	C₂³×C₃₁	1	1	yes	characteristic
1036	#95	C₂³×C₃₁	1	1	yes	characteristic
1037	#95	C₂³×C₃₁	1	1	yes	characteristic
1038	#95	C₂³×C₃₁	1	1	yes	characteristic
1039	#95	C₂³×C₃₁	1	1	yes	characteristic
1040	#95	C₂³×C₃₁	1	1	yes	characteristic
1041	#95	C₂³×C₃₁	1	1	yes	characteristic
1042	#95	C₂³×C₃₁	1	1	yes	characteristic
1043	#95	C₂³×C₃₁	1	1	yes	characteristic
1044	#95	C₂³×C₃₁	1	1	yes	characteristic
1045	#95	C₂³×C₃₁	1	1	yes	characteristic
1046	#95	C₂³×C₃₁	1	1	yes	characteristic
1047	#95	C₂³×C₃₁	1	1	yes	characteristic
1048	#95	C₂³×C₃₁	1	1	yes	characteristic
1049	#95	C₂³×C₃₁	1	1	yes	characteristic
1050	#95	C₂³×C₃₁	1	1	yes	characteristic
1051	#95	C₂³×C₃₁	1	1	yes	characteristic
1052	#95	C₂³×C₃₁	1	1	yes	characteristic
1053	#95	C₂³×C₃₁	1	1	yes	characteristic
1054	#95	C₂³×C₃₁	1	1	yes	characteristic
1055	#95	C₂³×C₃₁	1	1	yes	characteristic
1056	#95	C₂³×C₃₁	1	1	yes	characteristic
1057	#95	C₂³×C₃₁	1	1	yes	characteristic
1058	#95	C₂³×C₃₁	1	1	yes	characteristic
1059	C₃₁	#34840	1	1	yes	characteristic, direct product factor, Sylow
1060	C₂⁴	C₂⁴×C₃₁	1	1	yes	characteristic
1061	C₂⁴	C₂⁴×C₃₁	1	1	yes	characteristic
1062	C₂×Q₈	—	2	2	no	—
1063	C₂×Q₈	—	2	2	no	—
1064	C₂×Q₈	—	2	2	no	—
1065	C₂×Q₈	—	2	2	no	—
1066	C₂×Q₈	—	2	2	no	—
1067	C₂×Q₈	—	4	1	no	—
1068	C₂×Q₈	—	4	1	no	—
1069	C₂×Q₈	—	4	1	no	—
1070	C₂×Q₈	—	4	1	no	—
1071	C₂×D₄	—	2	2	no	—
1072	C₂×D₄	—	2	2	no	—
1073	C₂×D₄	C₂×Q₈×C₃₁	1	4	yes	—
1074	C₂²×C₄	—	2	2	no	—
1075	C₂²×C₄	—	2	2	no	—
1076	C₂²×C₄	—	2	2	no	—
1077	C₂²×C₄	—	2	2	no	—
1078	C₂²×C₄	—	2	2	no	—
1079	C₂²×C₄	—	2	2	no	—
1080	C₂²×C₄	—	2	2	no	—
1081	C₂²×C₄	—	2	2	no	—
1082	C₂²×C₄	—	2	2	no	—
1083	C₂²×C₄	—	2	2	no	—
1084	C₂²×C₄	—	2	2	no	—
1085	C₂²×C₄	—	2	2	no	—
1086	C₂²×C₄	—	2	2	no	—
1087	C₂²×C₄	—	2	2	no	—
1088	C₂²×C₄	—	2	2	no	—
1089	C₂²×C₄	—	2	2	no	—
1090	C₂²×C₄	—	2	2	no	—
1091	C₂²×C₄	—	4	1	no	—
1092	C₂²×C₄	—	4	1	no	—
1093	C₂²×C₄	—	4	1	no	—
1094	C₂²×C₄	—	4	1	no	—
1095	C₂²×C₄	—	4	1	no	—
1096	C₂²×C₄	—	4	1	no	—
1097	C₂²×C₄	—	4	1	no	—
1098	C₂²×C₄	—	4	1	no	—
1099	C₂²×C₄	—	4	1	no	—
1100	C₂²×C₄	—	4	1	no	—
1101	C₂²×C₄	C₂×Q₈×C₃₁	1	4	yes	—
1102	C₂²×C₄	C₂×Q₈×C₃₁	1	4	yes	—
1103	C₂²×C₄	#41×C₃₁	1	4	yes	—
1104	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1105	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1106	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1107	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1108	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1109	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1110	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1111	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1112	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1113	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1114	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1115	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1116	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1117	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1118	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1119	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1120	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1121	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1122	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1123	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1124	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1125	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1126	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1127	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1128	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1129	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1130	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1131	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1132	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1133	C₄⋊C₄	—	2	2	no	—
1134	C₄⋊C₄	—	2	2	no	—
1135	C₄⋊C₄	—	2	2	no	—
1136	C₄⋊C₄	—	2	2	no	—
1137	C₄⋊C₄	—	2	2	no	—
1138	C₄⋊C₄	—	2	2	no	—
1139	C₄⋊C₄	—	2	2	no	—
1140	C₄⋊C₄	—	2	2	no	—
1141	C₄⋊C₄	—	2	2	no	—
1142	C₄⋊C₄	—	2	2	no	—
1143	C₄⋊C₄	—	2	2	no	—
1144	C₄⋊C₄	—	2	2	no	—
1145	C₄⋊C₄	—	2	2	no	—
1146	C₄⋊C₄	—	2	2	no	—
1147	C₄⋊C₄	—	2	2	no	—
1148	C₄⋊C₄	—	2	2	no	—
1149	C₄⋊C₄	—	2	2	no	—
1150	C₄⋊C₄	—	2	2	no	—
1151	C₄⋊C₄	—	2	2	no	—
1152	C₄⋊C₄	—	2	2	no	—
1153	C₄⋊C₄	—	2	2	no	—
1154	C₄⋊C₄	—	2	2	no	—
1155	C₄⋊C₄	—	2	2	no	—
1156	C₄⋊C₄	—	2	2	no	—
1157	C₄⋊C₄	—	2	2	no	—
1158	C₄⋊C₄	—	2	2	no	—
1159	C₄⋊C₄	—	2	2	no	—
1160	C₄⋊C₄	—	2	2	no	—
1161	C₄⋊C₄	—	2	2	no	—
1162	C₄⋊C₄	—	2	2	no	—
1163	C₄⋊C₄	—	4	1	no	—
1164	C₄⋊C₄	—	4	1	no	—
1165	C₄⋊C₄	—	4	1	no	—
1166	C₄⋊C₄	—	4	1	no	—
1167	C₄⋊C₄	—	4	1	no	—
1168	C₄⋊C₄	—	4	1	no	—
1169	C₄⋊C₄	—	4	1	no	—
1170	C₄⋊C₄	—	4	1	no	—
1171	C₄⋊C₄	—	4	1	no	—
1172	C₄⋊C₄	—	4	1	no	—
1173	C₄⋊C₄	—	4	1	no	—
1174	C₄⋊C₄	—	4	1	no	—
1175	C₄⋊C₄	—	4	1	no	—
1176	C₄⋊C₄	—	4	1	no	—
1177	C₄⋊C₄	C₂×Q₈×C₃₁	1	4	yes	—
1178	C₄⋊C₄	#41×C₃₁	1	4	yes	—
1179	C₂²⋊C₄	—	2	2	no	—
1180	C₂²⋊C₄	—	2	2	no	—
1181	C₂²⋊C₄	—	2	2	no	—
1182	C₂²⋊C₄	—	2	2	no	—
1183	C₂²⋊C₄	—	2	2	no	—
1184	C₂²⋊C₄	—	2	2	no	—
1185	C₂²⋊C₄	—	2	2	no	—
1186	C₂²⋊C₄	—	2	2	no	—
1187	C₂²⋊C₄	—	2	2	no	—
1188	C₂²⋊C₄	—	2	2	no	—
1189	C₂²⋊C₄	—	2	2	no	—
1190	C₂²⋊C₄	—	4	1	no	—
1191	C₂²⋊C₄	—	4	1	no	—
1192	C₂²⋊C₄	—	4	1	no	—
1193	C₂²⋊C₄	—	4	1	no	—
1194	C₂²⋊C₄	C₂×Q₈×C₃₁	1	4	yes	—
1195	C₂²⋊C₄	C₂×Q₈×C₃₁	1	4	yes	—
1196	C₂²⋊C₄	#41×C₃₁	1	4	yes	—
1197	C₄²	—	2	2	no	—
1198	C₄²	—	2	2	no	—
1199	C₄²	—	2	2	no	—
1200	C₄²	—	2	2	no	—
1201	C₄²	—	2	2	no	—
1202	C₄²	—	2	2	no	—
1203	C₄²	—	2	2	no	—
1204	C₄²	—	2	2	no	—
1205	C₄²	—	2	2	no	—
1206	C₄²	—	2	2	no	—
1207	C₄²	—	2	2	no	—
1208	C₄²	—	2	2	no	—
1209	C₄²	—	2	2	no	—
1210	C₄²	—	2	2	no	—
1211	C₄²	—	2	2	no	—
1212	C₄²	—	2	2	no	—
1213	C₄²	—	4	1	no	—
1214	C₄²	—	4	1	no	—
1215	C₄²	—	4	1	no	—
1216	C₄²	—	4	1	no	—
1217	C₄²	—	4	1	no	—
1218	C₄²	—	4	1	no	—
1219	C₄²	—	4	1	no	—
1220	C₄²	C₂×Q₈×C₃₁	1	4	yes	—
1221	C₄²	#41×C₃₁	1	4	yes	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	2	1	no	—
1227	C₂³	—	2	1	no	—
1228	C₂³	—	2	1	no	—
1229	C₂³	—	2	1	no	—
1230	C₂³	—	2	1	no	—
1231	C₂³	—	2	1	no	—
1232	C₂³	C₂²×Q₈×C₃₁	1	2	yes	—
1233	C₂³	C₂²×Q₈×C₃₁	1	2	yes	—
1234	C₂³	C₂×#41×C₃₁	1	2	yes	—
1235	C₂³	C₂×#41×C₃₁	1	2	yes	—
1236	C₂³	C₂⁵×C₃₁	1	1	yes	characteristic
1237	Q₈	—	4	4	no	—
1238	Q₈	—	4	4	no	—
1239	Q₈	—	4	4	no	—
1240	D₄	—	2	8	no	—
1241	C₂×C₄	—	2	8	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	8	no	—
1269	C₂×C₄	—	2	8	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	4	4	no	—
1316	C₂×C₄	—	4	4	no	—
1317	C₂×C₄	—	4	4	no	—
1318	C₂×C₄	—	4	4	no	—
1319	C₂×C₄	—	4	4	no	—
1320	C₂×C₄	—	4	4	no	—
1321	C₂×C₄	—	4	4	no	—
1322	C₂×C₄	C₂²×Q₈×C₃₁	1	2	yes	—
1323	C₂×C₄	C₂²×Q₈×C₃₁	1	2	yes	—
1324	C₂×C₄	C₂²×Q₈×C₃₁	1	2	yes	—
1325	C₂×C₄	C₂²×Q₈×C₃₁	1	2	yes	—
1326	C₂×C₄	C₂²×Q₈×C₃₁	1	2	yes	—
1327	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
1328	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
1329	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
1330	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
1331	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
1332	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
1333	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
1334	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
1335	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
1336	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
1337	C₂×C₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
1338	C₂²	—	2	2	no	—
1339	C₂²	—	2	2	no	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	2	2	no	—
1342	C₂²	—	2	2	no	—
1343	C₂²	—	2	2	no	—
1344	C₂²	—	2	2	no	—
1345	C₂²	—	2	2	no	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	4	1	no	—
1348	C₂²	—	4	1	no	—
1349	C₂²	—	4	1	no	—
1350	C₂²	—	4	1	no	—
1351	C₂²	C₃₁×#533	1	4	yes	—
1352	C₂²	C₂³×Q₈×C₃₁	1	1	yes	characteristic
1353	C₂²	C₂²×#41×C₃₁	1	1	yes	characteristic
1354	C₂²	C₂²×#41×C₃₁	1	1	yes	characteristic
1355	C₂²	C₂²×#41×C₃₁	1	1	yes	characteristic
1356	C₂²	C₂²×#41×C₃₁	1	1	yes	characteristic
1357	C₂²	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1358	C₂²	C₃₁×#585	1	1	yes	characteristic
1359	C₄	—	2	2	no	—
1360	C₄	—	2	2	no	—
1361	C₄	—	2	2	no	—
1362	C₄	—	2	2	no	—
1363	C₄	—	2	2	no	—
1364	C₄	—	2	2	no	—
1365	C₄	—	2	2	no	—
1366	C₄	—	2	2	no	—
1367	C₄	—	2	2	no	—
1368	C₄	—	2	2	no	—
1369	C₄	—	2	2	no	—
1370	C₄	—	2	2	no	—
1371	C₄	—	2	2	no	—
1372	C₄	—	4	1	no	—
1373	C₄	—	4	1	no	—
1374	C₄	—	4	1	no	—
1375	C₄	—	4	1	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	4	1	no	—
1386	C₄	—	4	1	no	—
1387	C₄	C₃₁×#554	1	4	yes	—
1388	C₂	—	2	4	no	—
1389	C₂	—	4	2	no	—
1390	C₂	C₂×C₃₁×#533	1	1	yes	characteristic
1391	C₂	C₃₁×#3444	1	1	yes	characteristic
1392	C₂	C₃₁×#3459	1	1	yes	characteristic
1393	C₂	C₂×C₃₁×#554	1	1	yes	characteristic
1394	C₂	C₃₁×#3475	1	1	yes	characteristic
1395	C₂	Q₈×#41×C₃₁	1	1	yes	characteristic
1396	C₂	C₃₁×#3481	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₃₁	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃₁
socle	C₂³×C₃₁	C₂⁵
prime radical	C₂²×D₄×C₃₁	C₂³
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₃₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₁×#2590	C₂	semidirect
2. C₃₁×#2589	C₂	semidirect
3. C₃₁×#2588	C₂	semidirect
4. C₃₁×#2587	C₂	semidirect
5. C₃₁×#2586	C₂	semidirect
6. C₃₁×#2585	C₂	semidirect
7. C₃₁×#2583	C₂	semidirect
9. C₃₁×#2574	C₂	semidirect
11. C₃₁×#2556	C₂	semidirect
12. C₃₁×#2549	C₂	semidirect
13. C₃₁×#2505	C₂	semidirect
14. C₃₁×#2473	C₂	semidirect
17. C₃₁×#2402	C₂	semidirect
18. C₃₁×#2399	C₂	semidirect
19. C₃₁×#2396	C₂	semidirect
20. C₃₁×#2396	C₂	semidirect
21. C₄×C₃₁×#125	C₂	semidirect
22. C₄×C₃₁×C₂²⋊Q₈	C₂	semidirect
23. C₄×C₃₁×C₂²⋊Q₈	C₂	semidirect
24. C₄×C₃₁×C₂²⋊Q₈	C₂	semidirect
25. C₄×C₃₁×C₂²⋊Q₈	C₂	semidirect
26. C₃₁×#2296	C₂	semidirect
27. C₃₁×#2295	C₂	semidirect
31. C₂×C₄×C₄⋊C₄×C₃₁	C₂	semidirect
211. C₄×D₄×C₃₁	Q₈	semidirect
523. #34840	C₃₁	direct (N × H)
640. #2590	C₂×C₃₁	semidirect
641. #2589	C₂×C₃₁	semidirect
642. #2588	C₂×C₃₁	semidirect
643. #2587	C₂×C₃₁	semidirect
644. #2586	C₂×C₃₁	semidirect
645. #2585	C₂×C₃₁	semidirect
646. #2583	C₂×C₃₁	semidirect
648. #2574	C₂×C₃₁	semidirect
650. #2556	C₂×C₃₁	semidirect
651. #2549	C₂×C₃₁	semidirect
652. #2505	C₂×C₃₁	semidirect
653. #2473	C₂×C₃₁	semidirect
656. #2402	C₂×C₃₁	semidirect
657. #2399	C₂×C₃₁	semidirect
658. #2396	C₂×C₃₁	semidirect
659. #2396	C₂×C₃₁	semidirect
660. C₄×#125	C₂×C₃₁	semidirect
661. C₄×C₂²⋊Q₈	C₂×C₃₁	semidirect
662. C₄×C₂²⋊Q₈	C₂×C₃₁	semidirect
663. C₄×C₂²⋊Q₈	C₂×C₃₁	semidirect
664. C₄×C₂²⋊Q₈	C₂×C₃₁	semidirect
665. #2296	C₂×C₃₁	semidirect
666. #2295	C₂×C₃₁	semidirect
670. C₂×C₄×C₄⋊C₄	C₂×C₃₁	semidirect
909. C₄×D₄	Q₈×C₃₁	semidirect
1059. C₃₁	#34840	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃₁×#2590	2
C₃₁×#2589	2
C₃₁×#2588	2
C₃₁×#2587	2
C₃₁×#2586	2
C₃₁×#2585	2
C₃₁×#2583	2
C₃₁×#2579	2
C₃₁×#2574	2
C₃₁×#2564	2
C₃₁×#2556	2
C₃₁×#2549	2
C₃₁×#2505	2
C₃₁×#2473	2
C₃₁×#2450	2
C₃₁×#2449	2
C₃₁×#2402	2
C₃₁×#2399	2
C₃₁×#2396	2
C₄×C₃₁×#125	2
C₄×C₃₁×C₂²⋊Q₈	2
C₃₁×#2296	2
C₃₁×#2295	2
C₃₁×#2290	2
C₄²×D₄×C₃₁	2
C₂×C₄×C₄⋊C₄×C₃₁	2
#34840	31

Subgroups — C31×#34840 #21491599

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#34840 #21491599