Subgroups — C₃₁×#35096 #21491855

Order 7936.

2342 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₁×#539	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×#41×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#2855	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#2853	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#2852	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#2851	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#2638	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#2637	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#2634	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#2630	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#2478	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#2477	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#2475	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#2470	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#2468	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#2465	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#2462	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#2457	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#2450	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#2444	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#2438	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#2430	C₂	1	1	yes	maximal, characteristic
23	C₃₁×#2425	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#2419	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#2413	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#2406	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#2325	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#2322	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#2318	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₃₁×#123	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₃₁×#387	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41×C₃₁	C₂²	1	1	yes	characteristic
33	C₃₁×#539	—	2	8	no	—
34	C₂×C₃₁×#126	C₂²	1	1	yes	characteristic
35	C₂×C₃₁×#126	C₂²	1	1	yes	characteristic
36	C₂×C₃₁×#125	C₂²	1	1	yes	characteristic
37	C₂×C₃₁×#125	C₂²	1	1	yes	characteristic
38	C₂×C₃₁×#123	C₂²	1	1	yes	characteristic
39	C₂×C₃₁×#123	C₂²	1	1	yes	characteristic
40	C₂×C₃₁×#123	C₂²	1	1	yes	characteristic
41	C₂×C₃₁×#123	C₂²	1	1	yes	characteristic
42	C₂×C₃₁×#123	C₂²	1	1	yes	characteristic
43	C₂×C₃₁×#123	C₂²	1	1	yes	characteristic
44	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
45	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
46	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
47	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic
48	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic
49	C₄×#41×C₃₁	—	2	8	no	—
50	C₂×C₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
51	C₂×C₄×Q₈×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
58	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
59	C₂×C₃₁×#117	C₂²	1	1	yes	characteristic
60	C₂×C₃₁×#117	C₂²	1	1	yes	characteristic
61	C₂×C₃₁×#117	C₂²	1	1	yes	characteristic
62	C₂²×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
63	C₂²×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
64	C₂²×C₄²×C₃₁	C₂²	1	1	yes	characteristic
65	C₂²×C₄²×C₃₁	C₂²	1	1	yes	characteristic
66	C₂²×C₄²×C₃₁	C₂²	1	1	yes	characteristic
67	C₃₁×#400	C₂²	1	1	yes	characteristic
68	C₃₁×#400	C₂²	1	1	yes	characteristic
69	C₃₁×#400	C₂²	1	1	yes	characteristic
70	C₃₁×#400	C₂²	1	1	yes	characteristic
71	C₃₁×#398	C₂²	1	1	yes	characteristic
72	C₃₁×#398	C₂²	1	1	yes	characteristic
73	C₃₁×#398	C₂²	1	1	yes	characteristic
74	C₃₁×#398	C₂²	1	1	yes	characteristic
75	C₃₁×#398	C₂²	1	1	yes	characteristic
76	C₃₁×#398	C₂²	1	1	yes	characteristic
77	C₃₁×#398	C₂²	1	1	yes	characteristic
78	C₃₁×#397	C₂²	1	1	yes	characteristic
79	C₃₁×#397	C₂²	1	1	yes	characteristic
80	C₃₁×#397	C₂²	1	1	yes	characteristic
81	C₃₁×#397	C₂²	1	1	yes	characteristic
82	C₃₁×#397	C₂²	1	1	yes	characteristic
83	C₃₁×#396	C₂²	1	1	yes	characteristic
84	C₃₁×#396	C₂²	1	1	yes	characteristic
85	C₃₁×#396	C₂²	1	1	yes	characteristic
86	C₃₁×#396	C₂²	1	1	yes	characteristic
87	C₃₁×#395	C₂²	1	1	yes	characteristic
88	C₃₁×#395	C₂²	1	1	yes	characteristic
89	C₃₁×#395	C₂²	1	1	yes	characteristic
90	C₃₁×#395	C₂²	1	1	yes	characteristic
91	C₃₁×#394	C₂²	1	1	yes	characteristic
92	C₃₁×#394	C₂²	1	1	yes	characteristic
93	C₃₁×#394	C₂²	1	1	yes	characteristic
94	C₃₁×#394	C₂²	1	1	yes	characteristic
95	C₃₁×#394	C₂²	1	1	yes	characteristic
96	C₃₁×#393	C₂²	1	1	yes	characteristic
97	C₃₁×#393	C₂²	1	1	yes	characteristic
98	C₃₁×#392	C₂²	1	1	yes	characteristic
99	C₃₁×#391	C₂²	1	1	yes	characteristic
100	C₃₁×#391	C₂²	1	1	yes	characteristic
101	C₃₁×#389	C₂²	1	1	yes	characteristic
102	C₃₁×#389	C₂²	1	1	yes	characteristic
103	C₃₁×#389	C₂²	1	1	yes	characteristic
104	C₃₁×#389	C₂²	1	1	yes	characteristic
105	C₃₁×#389	C₂²	1	1	yes	characteristic
106	C₃₁×#389	C₂²	1	1	yes	characteristic
107	C₃₁×#388	C₂²	1	1	yes	characteristic
108	C₃₁×#388	C₂²	1	1	yes	characteristic
109	C₃₁×#388	C₂²	1	1	yes	characteristic
110	C₃₁×#388	C₂²	1	1	yes	characteristic
111	C₃₁×#388	C₂²	1	1	yes	characteristic
112	C₃₁×#388	C₂²	1	1	yes	characteristic
113	C₃₁×#388	C₂²	1	1	yes	characteristic
114	C₃₁×#388	C₂²	1	1	yes	characteristic
115	C₃₁×#388	C₂²	1	1	yes	characteristic
116	C₃₁×#388	C₂²	1	1	yes	characteristic
117	C₃₁×#388	C₂²	1	1	yes	characteristic
118	C₃₁×#388	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×#387	C₂²	1	1	yes	characteristic
126	C₃₁×#387	C₂²	1	1	yes	characteristic
127	C₃₁×#387	C₂²	1	1	yes	characteristic
128	C₃₁×#387	C₂²	1	1	yes	characteristic
129	C₃₁×#387	C₂²	1	1	yes	characteristic
130	C₃₁×#387	C₂²	1	1	yes	characteristic
131	C₃₁×#387	C₂²	1	1	yes	characteristic
132	C₃₁×#387	C₂²	1	1	yes	characteristic
133	C₃₁×#387	C₂²	1	1	yes	characteristic
134	C₃₁×#387	C₂²	1	1	yes	characteristic
135	C₃₁×#387	C₂²	1	1	yes	characteristic
136	C₃₁×#387	C₂²	1	1	yes	characteristic
137	C₃₁×#387	C₂²	1	1	yes	characteristic
138	C₃₁×#387	C₂²	1	1	yes	characteristic
139	C₃₁×#387	C₂²	1	1	yes	characteristic
140	C₃₁×#387	C₂²	1	1	yes	characteristic
141	C₃₁×#386	C₂²	1	1	yes	characteristic
142	C₃₁×#386	C₂²	1	1	yes	characteristic
143	C₃₁×#386	C₂²	1	1	yes	characteristic
144	C₃₁×#386	C₂²	1	1	yes	characteristic
145	C₃₁×#386	C₂²	1	1	yes	characteristic
146	C₃₁×#386	C₂²	1	1	yes	characteristic
147	C₃₁×#386	C₂²	1	1	yes	characteristic
148	C₃₁×#386	C₂²	1	1	yes	characteristic
149	C₃₁×#386	C₂²	1	1	yes	characteristic
150	C₃₁×#386	C₂²	1	1	yes	characteristic
151	C₃₁×#386	C₂²	1	1	yes	characteristic
152	C₃₁×#386	C₂²	1	1	yes	characteristic
153	C₃₁×#385	C₂²	1	1	yes	characteristic
154	C₃₁×#385	C₂²	1	1	yes	characteristic
155	C₃₁×#385	C₂²	1	1	yes	characteristic
156	C₃₁×#385	C₂²	1	1	yes	characteristic
157	C₃₁×#385	C₂²	1	1	yes	characteristic
158	C₃₁×#385	C₂²	1	1	yes	characteristic
159	C₃₁×#385	C₂²	1	1	yes	characteristic
160	C₃₁×#385	C₂²	1	1	yes	characteristic
161	C₃₁×#385	C₂²	1	1	yes	characteristic
162	C₃₁×#385	C₂²	1	1	yes	characteristic
163	C₃₁×#385	C₂²	1	1	yes	characteristic
164	C₃₁×#385	C₂²	1	1	yes	characteristic
165	C₃₁×#385	C₂²	1	1	yes	characteristic
166	C₃₁×#385	C₂²	1	1	yes	characteristic
167	C₃₁×#385	C₂²	1	1	yes	characteristic
168	C₃₁×#385	C₂²	1	1	yes	characteristic
169	C₃₁×#383	C₂²	1	1	yes	characteristic
170	C₃₁×#382	C₂²	1	1	yes	characteristic
171	C₃₁×#381	C₂²	1	1	yes	characteristic
172	C₃₁×#381	C₂²	1	1	yes	characteristic
173	C₃₁×#381	C₂²	1	1	yes	characteristic
174	C₃₁×#381	C₂²	1	1	yes	characteristic
175	C₃₁×#381	C₂²	1	1	yes	characteristic
176	C₃₁×#380	C₂²	1	1	yes	characteristic
177	C₃₁×#380	C₂²	1	1	yes	characteristic
178	C₃₁×#380	C₂²	1	1	yes	characteristic
179	C₃₁×#380	C₂²	1	1	yes	characteristic
180	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
181	C₄×C₄⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
182	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
183	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₃₁	C₂²	1	1	yes	characteristic
185	C₂×C₃₁×#95	C₂²	1	1	yes	characteristic
186	C₂×C₃₁×#95	C₂²	1	1	yes	characteristic
187	C₂×C₃₁×#95	C₂²	1	1	yes	characteristic
188	C₂×C₃₁×#95	C₂²	1	1	yes	characteristic
189	C₂×#41×C₃₁	—	2	4	no	—
190	C₂×#41×C₃₁	—	2	4	no	—
191	C₂×#41×C₃₁	—	2	4	no	—
192	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
193	C₂²×Q₈×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	C₂³×C₄×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	C₃₁×#126	—	2	4	no	—
215	C₃₁×#126	—	2	4	no	—
216	C₃₁×#125	—	2	4	no	—
217	C₃₁×#125	—	2	4	no	—
218	C₃₁×#123	—	2	4	no	—
219	C₃₁×#123	—	2	4	no	—
220	C₃₁×#123	—	2	4	no	—
221	C₃₁×#123	—	2	4	no	—
222	C₃₁×#123	—	2	4	no	—
223	C₃₁×#123	—	2	4	no	—
224	C₃₁×C₂²⋊Q₈	—	2	4	no	—
225	C₃₁×C₂²⋊Q₈	—	2	4	no	—
226	C₃₁×C₂²⋊Q₈	—	2	4	no	—
227	C₃₁×#121	—	2	4	no	—
228	C₃₁×#121	—	2	4	no	—
229	C₄×Q₈×C₃₁	—	2	4	no	—
230	C₄×Q₈×C₃₁	—	2	4	no	—
231	C₄×D₄×C₃₁	—	2	4	no	—
232	C₄×D₄×C₃₁	—	2	4	no	—
233	C₄×D₄×C₃₁	—	2	4	no	—
234	C₄×D₄×C₃₁	—	2	4	no	—
235	C₄×D₄×C₃₁	—	2	4	no	—
236	C₄×D₄×C₃₁	—	2	4	no	—
237	C₄×D₄×C₃₁	D₄	1	8	yes	complemented
238	C₃₁×#117	—	2	4	no	—
239	C₃₁×#117	—	2	4	no	—
240	C₃₁×#117	—	2	4	no	—
241	C₂×C₄⋊C₄×C₃₁	—	2	4	no	—
242	C₂×C₄⋊C₄×C₃₁	—	2	4	no	—
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×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×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊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×C₄²×C₃₁	—	2	4	no	—
316	C₂×C₄²×C₃₁	—	2	4	no	—
317	C₂×C₄²×C₃₁	—	2	4	no	—
318	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
319	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
320	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
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	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	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	C₃₁×#95	C₂³	1	1	yes	characteristic
377	C₃₁×#95	C₂³	1	1	yes	characteristic
378	C₃₁×#95	C₂³	1	1	yes	characteristic
379	C₂⁴×C₃₁	C₂⁴	1	1	yes	characteristic
380	C₂⁴×C₃₁	C₂⁴	1	1	yes	characteristic
381	C₂⁴×C₃₁	C₂⁴	1	1	yes	characteristic
382	C₂⁴×C₃₁	C₂⁴	1	1	yes	characteristic
383	#41×C₃₁	—	2	32	no	—
384	C₂×Q₈×C₃₁	—	2	2	no	—
385	C₂×Q₈×C₃₁	—	2	2	no	—
386	C₂×Q₈×C₃₁	—	2	2	no	—
387	C₂×Q₈×C₃₁	—	2	2	no	—
388	C₂×Q₈×C₃₁	—	4	1	no	—
389	C₂×Q₈×C₃₁	—	4	1	no	—
390	C₂×D₄×C₃₁	—	2	2	no	—
391	C₂×D₄×C₃₁	—	2	2	no	—
392	C₂×D₄×C₃₁	—	2	2	no	—
393	C₂×D₄×C₃₁	—	2	2	no	—
394	C₂×D₄×C₃₁	—	2	2	no	—
395	C₂×D₄×C₃₁	—	2	2	no	—
396	C₂×D₄×C₃₁	—	2	2	no	—
397	C₂×D₄×C₃₁	—	2	2	no	—
398	C₂×D₄×C₃₁	—	2	2	no	—
399	C₂×D₄×C₃₁	—	2	2	no	—
400	C₂×D₄×C₃₁	—	2	2	no	—
401	C₂×D₄×C₃₁	—	2	2	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	C₂×D₄	1	4	yes	—
407	C₂×D₄×C₃₁	#41	1	4	yes	—
408	C₂²×C₄×C₃₁	—	2	2	no	—
409	C₂²×C₄×C₃₁	—	2	2	no	—
410	C₂²×C₄×C₃₁	—	2	2	no	—
411	C₂²×C₄×C₃₁	—	2	2	no	—
412	C₂²×C₄×C₃₁	—	2	2	no	—
413	C₂²×C₄×C₃₁	—	2	2	no	—
414	C₂²×C₄×C₃₁	—	2	2	no	—
415	C₂²×C₄×C₃₁	—	2	2	no	—
416	C₂²×C₄×C₃₁	—	2	2	no	—
417	C₂²×C₄×C₃₁	—	2	2	no	—
418	C₂²×C₄×C₃₁	—	2	2	no	—
419	C₂²×C₄×C₃₁	—	2	2	no	—
420	C₂²×C₄×C₃₁	—	2	2	no	—
421	C₂²×C₄×C₃₁	—	2	2	no	—
422	C₂²×C₄×C₃₁	—	2	2	no	—
423	C₂²×C₄×C₃₁	—	2	2	no	—
424	C₂²×C₄×C₃₁	—	2	2	no	—
425	C₂²×C₄×C₃₁	—	2	2	no	—
426	C₂²×C₄×C₃₁	—	2	2	no	—
427	C₂²×C₄×C₃₁	—	2	2	no	—
428	C₂²×C₄×C₃₁	—	2	2	no	—
429	C₂²×C₄×C₃₁	—	2	2	no	—
430	C₂²×C₄×C₃₁	—	4	1	no	—
431	C₂²×C₄×C₃₁	—	4	1	no	—
432	C₂²×C₄×C₃₁	—	4	1	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	C₂×D₄	1	4	yes	—
448	C₂²×C₄×C₃₁	C₂×D₄	1	4	yes	—
449	C₂²×C₄×C₃₁	#41	1	4	yes	—
450	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₃₁	—	2	2	no	—
478	C₄⋊C₄×C₃₁	—	2	2	no	—
479	C₄⋊C₄×C₃₁	—	2	2	no	—
480	C₄⋊C₄×C₃₁	—	2	2	no	—
481	C₄⋊C₄×C₃₁	—	2	2	no	—
482	C₄⋊C₄×C₃₁	—	2	2	no	—
483	C₄⋊C₄×C₃₁	—	2	2	no	—
484	C₄⋊C₄×C₃₁	—	2	2	no	—
485	C₄⋊C₄×C₃₁	—	2	2	no	—
486	C₄⋊C₄×C₃₁	—	2	2	no	—
487	C₄⋊C₄×C₃₁	—	2	2	no	—
488	C₄⋊C₄×C₃₁	—	2	2	no	—
489	C₄⋊C₄×C₃₁	—	2	2	no	—
490	C₄⋊C₄×C₃₁	—	2	2	no	—
491	C₄⋊C₄×C₃₁	—	2	2	no	—
492	C₄⋊C₄×C₃₁	—	2	2	no	—
493	C₄⋊C₄×C₃₁	—	2	2	no	—
494	C₄⋊C₄×C₃₁	—	2	2	no	—
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	—	2	2	no	—
500	C₄⋊C₄×C₃₁	—	2	2	no	—
501	C₄⋊C₄×C₃₁	—	2	2	no	—
502	C₄⋊C₄×C₃₁	—	2	2	no	—
503	C₄⋊C₄×C₃₁	—	2	2	no	—
504	C₄⋊C₄×C₃₁	—	2	2	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	—	4	1	no	—
514	C₄⋊C₄×C₃₁	C₂×D₄	1	4	yes	—
515	C₂²⋊C₄×C₃₁	—	2	2	no	—
516	C₂²⋊C₄×C₃₁	—	2	2	no	—
517	C₂²⋊C₄×C₃₁	—	2	2	no	—
518	C₂²⋊C₄×C₃₁	—	2	2	no	—
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	—	2	2	no	—
530	C₂²⋊C₄×C₃₁	—	2	2	no	—
531	C₂²⋊C₄×C₃₁	—	2	2	no	—
532	C₂²⋊C₄×C₃₁	—	2	2	no	—
533	C₂²⋊C₄×C₃₁	—	2	2	no	—
534	C₂²⋊C₄×C₃₁	—	2	2	no	—
535	C₂²⋊C₄×C₃₁	—	2	2	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	C₂×D₄	1	4	yes	—
548	C₂²⋊C₄×C₃₁	C₂×D₄	1	4	yes	—
549	C₄²×C₃₁	—	2	2	no	—
550	C₄²×C₃₁	—	2	2	no	—
551	C₄²×C₃₁	—	2	2	no	—
552	C₄²×C₃₁	—	2	2	no	—
553	C₄²×C₃₁	—	2	2	no	—
554	C₄²×C₃₁	—	2	2	no	—
555	C₄²×C₃₁	—	2	2	no	—
556	C₄²×C₃₁	—	2	2	no	—
557	C₄²×C₃₁	—	2	2	no	—
558	C₄²×C₃₁	—	2	2	no	—
559	C₄²×C₃₁	—	4	1	no	—
560	C₄²×C₃₁	—	4	1	no	—
561	C₄²×C₃₁	C₂×D₄	1	4	yes	—
562	#35096	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
563	C₂³×C₃₁	—	2	1	no	—
564	C₂³×C₃₁	—	2	1	no	—
565	C₂³×C₃₁	—	2	1	no	—
566	C₂³×C₃₁	—	2	1	no	—
567	C₂³×C₃₁	—	2	1	no	—
568	C₂³×C₃₁	—	2	1	no	—
569	C₂³×C₃₁	—	2	1	no	—
570	C₂³×C₃₁	—	2	1	no	—
571	C₂³×C₃₁	—	2	1	no	—
572	C₂³×C₃₁	—	2	1	no	—
573	C₂³×C₃₁	—	2	1	no	—
574	C₂³×C₃₁	—	2	1	no	—
575	C₂³×C₃₁	—	2	1	no	—
576	C₂³×C₃₁	—	2	1	no	—
577	C₂³×C₃₁	—	2	1	no	—
578	C₂³×C₃₁	—	2	1	no	—
579	C₂³×C₃₁	—	2	1	no	—
580	C₂³×C₃₁	—	2	1	no	—
581	C₂³×C₃₁	—	2	1	no	—
582	C₂³×C₃₁	—	2	1	no	—
583	C₂³×C₃₁	—	2	1	no	—
584	C₂³×C₃₁	—	2	1	no	—
585	C₂³×C₃₁	—	2	1	no	—
586	C₂³×C₃₁	C₂²×D₄	1	2	yes	—
587	C₂³×C₃₁	C₂²×D₄	1	2	yes	—
588	C₂³×C₃₁	C₂×#41	1	2	yes	—
589	C₂³×C₃₁	C₂×#41	1	2	yes	—
590	C₂³×C₃₁	C₂×#41	1	2	yes	—
591	C₂³×C₃₁	C₂⁵	1	1	yes	characteristic
592	Q₈×C₃₁	—	2	8	no	—
593	Q₈×C₃₁	—	8	2	no	—
594	D₄×C₃₁	—	2	8	no	—
595	D₄×C₃₁	—	2	8	no	—
596	D₄×C₃₁	—	2	8	no	—
597	D₄×C₃₁	—	4	4	no	—
598	D₄×C₃₁	—	8	2	no	—
599	D₄×C₃₁	—	8	2	no	—
600	C₂×C₄×C₃₁	—	2	8	no	—
601	C₂×C₄×C₃₁	—	2	8	no	—
602	C₂×C₄×C₃₁	—	2	8	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	—	2	1	no	—
618	C₂×C₄×C₃₁	—	2	1	no	—
619	C₂×C₄×C₃₁	—	2	1	no	—
620	C₂×C₄×C₃₁	—	2	1	no	—
621	C₂×C₄×C₃₁	—	2	1	no	—
622	C₂×C₄×C₃₁	—	2	1	no	—
623	C₂×C₄×C₃₁	—	2	1	no	—
624	C₂×C₄×C₃₁	—	2	1	no	—
625	C₂×C₄×C₃₁	—	2	1	no	—
626	C₂×C₄×C₃₁	—	2	1	no	—
627	C₂×C₄×C₃₁	—	2	1	no	—
628	C₂×C₄×C₃₁	—	2	1	no	—
629	C₂×C₄×C₃₁	—	2	1	no	—
630	C₂×C₄×C₃₁	—	2	1	no	—
631	C₂×C₄×C₃₁	—	2	1	no	—
632	C₂×C₄×C₃₁	—	2	1	no	—
633	C₂×C₄×C₃₁	—	2	1	no	—
634	C₂×C₄×C₃₁	—	2	1	no	—
635	C₂×C₄×C₃₁	—	2	1	no	—
636	C₂×C₄×C₃₁	—	2	1	no	—
637	C₂×C₄×C₃₁	—	2	1	no	—
638	C₂×C₄×C₃₁	—	2	1	no	—
639	C₂×C₄×C₃₁	—	2	1	no	—
640	C₂×C₄×C₃₁	—	2	1	no	—
641	C₂×C₄×C₃₁	—	2	1	no	—
642	C₂×C₄×C₃₁	—	2	1	no	—
643	C₂×C₄×C₃₁	—	2	1	no	—
644	C₂×C₄×C₃₁	—	2	1	no	—
645	C₂×C₄×C₃₁	—	2	1	no	—
646	C₂×C₄×C₃₁	—	2	1	no	—
647	C₂×C₄×C₃₁	—	2	1	no	—
648	C₂×C₄×C₃₁	—	2	1	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	—	4	4	no	—
676	C₂×C₄×C₃₁	—	4	4	no	—
677	C₂×C₄×C₃₁	—	4	4	no	—
678	C₂×C₄×C₃₁	—	4	4	no	—
679	C₂×C₄×C₃₁	—	4	4	no	—
680	C₂×C₄×C₃₁	—	4	4	no	—
681	C₂×C₄×C₃₁	—	4	4	no	—
682	C₂×C₄×C₃₁	—	4	4	no	—
683	C₂×C₄×C₃₁	—	8	2	no	—
684	C₂×C₄×C₃₁	—	8	2	no	—
685	C₂×C₄×C₃₁	—	8	2	no	—
686	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
687	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
688	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
689	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
690	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
691	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
692	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
693	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
694	C₂×C₄×C₃₁	2₋¹⁺⁴	1	2	yes	—
695	C₂×#539	C₂×C₃₁	1	1	yes	characteristic, complemented
696	C₂×C₄×#41	C₂×C₃₁	1	1	yes	characteristic, complemented
697	#2855	C₂×C₃₁	1	1	yes	characteristic, complemented
698	#2853	C₂×C₃₁	1	1	yes	characteristic, complemented
699	#2852	C₂×C₃₁	1	1	yes	characteristic, complemented
700	#2851	C₂×C₃₁	1	1	yes	characteristic, complemented
701	#2638	C₂×C₃₁	1	1	yes	characteristic, complemented
702	#2637	C₂×C₃₁	1	1	yes	characteristic, complemented
703	#2634	C₂×C₃₁	1	1	yes	characteristic, complemented
704	#2630	C₂×C₃₁	1	1	yes	characteristic, complemented
705	#2478	C₂×C₃₁	1	1	yes	characteristic, complemented
706	#2477	C₂×C₃₁	1	1	yes	characteristic, complemented
707	#2475	C₂×C₃₁	1	1	yes	characteristic, complemented
708	#2470	C₂×C₃₁	1	1	yes	characteristic, complemented
709	#2468	C₂×C₃₁	1	1	yes	characteristic, complemented
710	#2465	C₂×C₃₁	1	1	yes	characteristic, complemented
711	#2462	C₂×C₃₁	1	1	yes	characteristic, complemented
712	#2457	C₂×C₃₁	1	1	yes	characteristic, complemented
713	#2450	C₂×C₃₁	1	1	yes	characteristic, complemented
714	#2444	C₂×C₃₁	1	1	yes	characteristic, complemented
715	#2438	C₂×C₃₁	1	1	yes	characteristic, complemented
716	#2430	C₂×C₃₁	1	1	yes	characteristic
717	#2425	C₂×C₃₁	1	1	yes	characteristic, complemented
718	#2419	C₂×C₃₁	1	1	yes	characteristic, complemented
719	#2413	C₂×C₃₁	1	1	yes	characteristic, complemented
720	#2406	C₂×C₃₁	1	1	yes	characteristic, complemented
721	#2325	C₂×C₃₁	1	1	yes	characteristic, complemented
722	#2322	C₂×C₃₁	1	1	yes	characteristic, complemented
723	#2318	C₂×C₃₁	1	1	yes	characteristic, complemented
724	C₄×#123	C₂×C₃₁	1	1	yes	characteristic, complemented
725	C₂×#387	C₂×C₃₁	1	1	yes	characteristic, complemented
726	C₂²×C₃₁	—	2	2	no	—
727	C₂²×C₃₁	—	2	2	no	—
728	C₂²×C₃₁	—	2	2	no	—
729	C₂²×C₃₁	—	2	2	no	—
730	C₂²×C₃₁	—	2	2	no	—
731	C₂²×C₃₁	—	2	2	no	—
732	C₂²×C₃₁	—	2	2	no	—
733	C₂²×C₃₁	—	2	2	no	—
734	C₂²×C₃₁	—	2	2	no	—
735	C₂²×C₃₁	—	2	2	no	—
736	C₂²×C₃₁	—	2	2	no	—
737	C₂²×C₃₁	—	2	2	no	—
738	C₂²×C₃₁	—	4	1	no	—
739	C₂²×C₃₁	—	4	1	no	—
740	C₂²×C₃₁	—	4	1	no	—
741	C₂²×C₃₁	—	4	1	no	—
742	C₂²×C₃₁	—	4	1	no	—
743	C₂²×C₃₁	—	4	1	no	—
744	C₂²×C₃₁	—	4	1	no	—
745	C₂²×C₃₁	—	4	1	no	—
746	C₂²×C₃₁	—	4	1	no	—
747	C₂²×C₃₁	—	4	1	no	—
748	C₂²×C₃₁	—	4	1	no	—
749	C₂²×C₃₁	—	4	1	no	—
750	C₂²×C₃₁	—	4	1	no	—
751	C₂²×C₃₁	—	4	1	no	—
752	C₂²×C₃₁	—	4	1	no	—
753	C₂²×C₃₁	#525	1	4	yes	—
754	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
755	C₂²×C₃₁	C₂²×#41	1	1	yes	characteristic
756	C₂²×C₃₁	C₂²×#41	1	1	yes	characteristic
757	C₂²×C₃₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
758	C₂²×C₃₁	#585	1	1	yes	characteristic
759	C₂²×C₃₁	#585	1	1	yes	characteristic
760	C₂²×C₃₁	#585	1	1	yes	characteristic
761	C₄×C₃₁	—	2	2	no	—
762	C₄×C₃₁	—	2	2	no	—
763	C₄×C₃₁	—	2	2	no	—
764	C₄×C₃₁	—	2	2	no	—
765	C₄×C₃₁	—	2	2	no	—
766	C₄×C₃₁	—	2	2	no	—
767	C₄×C₃₁	—	2	2	no	—
768	C₄×C₃₁	—	2	2	no	—
769	C₄×C₃₁	—	2	2	no	—
770	C₄×C₃₁	—	4	1	no	—
771	C₄×C₃₁	—	4	1	no	—
772	C₄×C₃₁	—	4	1	no	—
773	C₄×C₃₁	—	4	1	no	—
774	C₄×C₃₁	—	4	1	no	—
775	C₄×C₃₁	—	4	1	no	—
776	C₄×C₃₁	—	4	1	no	—
777	C₄×C₃₁	—	4	1	no	—
778	C₄×C₃₁	—	4	1	no	—
779	C₄×C₃₁	—	4	1	no	—
780	C₄×C₃₁	—	4	1	no	—
781	C₄×C₃₁	—	4	1	no	—
782	C₄×C₃₁	—	4	1	no	—
783	C₄×C₃₁	—	4	1	no	—
784	C₄×C₃₁	—	4	1	no	—
785	C₄×C₃₁	—	4	1	no	—
786	C₄×C₃₁	—	4	1	no	—
787	C₄×C₃₁	—	4	1	no	—
788	C₂²×#41	C₂²×C₃₁	1	1	yes	characteristic
789	#539	—	2	8	no	—
790	C₂×#126	C₂²×C₃₁	1	1	yes	characteristic
791	C₂×#126	C₂²×C₃₁	1	1	yes	characteristic
792	C₂×#125	C₂²×C₃₁	1	1	yes	characteristic
793	C₂×#125	C₂²×C₃₁	1	1	yes	characteristic
794	C₂×#123	C₂²×C₃₁	1	1	yes	characteristic
795	C₂×#123	C₂²×C₃₁	1	1	yes	characteristic
796	C₂×#123	C₂²×C₃₁	1	1	yes	characteristic
797	C₂×#123	C₂²×C₃₁	1	1	yes	characteristic
798	C₂×#123	C₂²×C₃₁	1	1	yes	characteristic
799	C₂×#123	C₂²×C₃₁	1	1	yes	characteristic
800	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
801	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
802	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
803	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic
804	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic
805	C₄×#41	—	2	8	no	—
806	C₂×C₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
807	C₂×C₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
808	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
809	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
810	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
811	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
812	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
813	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
814	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
815	C₂×#117	C₂²×C₃₁	1	1	yes	characteristic
816	C₂×#117	C₂²×C₃₁	1	1	yes	characteristic
817	C₂×#117	C₂²×C₃₁	1	1	yes	characteristic
818	C₂²×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
819	C₂²×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
820	C₂²×C₄²	C₂²×C₃₁	1	1	yes	characteristic
821	C₂²×C₄²	C₂²×C₃₁	1	1	yes	characteristic
822	C₂²×C₄²	C₂²×C₃₁	1	1	yes	characteristic
823	#400	C₂²×C₃₁	1	1	yes	characteristic
824	#400	C₂²×C₃₁	1	1	yes	characteristic
825	#400	C₂²×C₃₁	1	1	yes	characteristic
826	#400	C₂²×C₃₁	1	1	yes	characteristic
827	#398	C₂²×C₃₁	1	1	yes	characteristic
828	#398	C₂²×C₃₁	1	1	yes	characteristic
829	#398	C₂²×C₃₁	1	1	yes	characteristic
830	#398	C₂²×C₃₁	1	1	yes	characteristic
831	#398	C₂²×C₃₁	1	1	yes	characteristic
832	#398	C₂²×C₃₁	1	1	yes	characteristic
833	#398	C₂²×C₃₁	1	1	yes	characteristic
834	#397	C₂²×C₃₁	1	1	yes	characteristic
835	#397	C₂²×C₃₁	1	1	yes	characteristic
836	#397	C₂²×C₃₁	1	1	yes	characteristic
837	#397	C₂²×C₃₁	1	1	yes	characteristic
838	#397	C₂²×C₃₁	1	1	yes	characteristic
839	#396	C₂²×C₃₁	1	1	yes	characteristic
840	#396	C₂²×C₃₁	1	1	yes	characteristic
841	#396	C₂²×C₃₁	1	1	yes	characteristic
842	#396	C₂²×C₃₁	1	1	yes	characteristic
843	#395	C₂²×C₃₁	1	1	yes	characteristic
844	#395	C₂²×C₃₁	1	1	yes	characteristic
845	#395	C₂²×C₃₁	1	1	yes	characteristic
846	#395	C₂²×C₃₁	1	1	yes	characteristic
847	#394	C₂²×C₃₁	1	1	yes	characteristic
848	#394	C₂²×C₃₁	1	1	yes	characteristic
849	#394	C₂²×C₃₁	1	1	yes	characteristic
850	#394	C₂²×C₃₁	1	1	yes	characteristic
851	#394	C₂²×C₃₁	1	1	yes	characteristic
852	#393	C₂²×C₃₁	1	1	yes	characteristic
853	#393	C₂²×C₃₁	1	1	yes	characteristic
854	#392	C₂²×C₃₁	1	1	yes	characteristic
855	#391	C₂²×C₃₁	1	1	yes	characteristic
856	#391	C₂²×C₃₁	1	1	yes	characteristic
857	#389	C₂²×C₃₁	1	1	yes	characteristic
858	#389	C₂²×C₃₁	1	1	yes	characteristic
859	#389	C₂²×C₃₁	1	1	yes	characteristic
860	#389	C₂²×C₃₁	1	1	yes	characteristic
861	#389	C₂²×C₃₁	1	1	yes	characteristic
862	#389	C₂²×C₃₁	1	1	yes	characteristic
863	#388	C₂²×C₃₁	1	1	yes	characteristic
864	#388	C₂²×C₃₁	1	1	yes	characteristic
865	#388	C₂²×C₃₁	1	1	yes	characteristic
866	#388	C₂²×C₃₁	1	1	yes	characteristic
867	#388	C₂²×C₃₁	1	1	yes	characteristic
868	#388	C₂²×C₃₁	1	1	yes	characteristic
869	#388	C₂²×C₃₁	1	1	yes	characteristic
870	#388	C₂²×C₃₁	1	1	yes	characteristic
871	#388	C₂²×C₃₁	1	1	yes	characteristic
872	#388	C₂²×C₃₁	1	1	yes	characteristic
873	#388	C₂²×C₃₁	1	1	yes	characteristic
874	#388	C₂²×C₃₁	1	1	yes	characteristic
875	#387	C₂²×C₃₁	1	1	yes	characteristic
876	#387	C₂²×C₃₁	1	1	yes	characteristic
877	#387	C₂²×C₃₁	1	1	yes	characteristic
878	#387	C₂²×C₃₁	1	1	yes	characteristic
879	#387	C₂²×C₃₁	1	1	yes	characteristic
880	#387	C₂²×C₃₁	1	1	yes	characteristic
881	#387	C₂²×C₃₁	1	1	yes	characteristic
882	#387	C₂²×C₃₁	1	1	yes	characteristic
883	#387	C₂²×C₃₁	1	1	yes	characteristic
884	#387	C₂²×C₃₁	1	1	yes	characteristic
885	#387	C₂²×C₃₁	1	1	yes	characteristic
886	#387	C₂²×C₃₁	1	1	yes	characteristic
887	#387	C₂²×C₃₁	1	1	yes	characteristic
888	#387	C₂²×C₃₁	1	1	yes	characteristic
889	#387	C₂²×C₃₁	1	1	yes	characteristic
890	#387	C₂²×C₃₁	1	1	yes	characteristic
891	#387	C₂²×C₃₁	1	1	yes	characteristic
892	#387	C₂²×C₃₁	1	1	yes	characteristic
893	#387	C₂²×C₃₁	1	1	yes	characteristic
894	#387	C₂²×C₃₁	1	1	yes	characteristic
895	#387	C₂²×C₃₁	1	1	yes	characteristic
896	#387	C₂²×C₃₁	1	1	yes	characteristic
897	#386	C₂²×C₃₁	1	1	yes	characteristic
898	#386	C₂²×C₃₁	1	1	yes	characteristic
899	#386	C₂²×C₃₁	1	1	yes	characteristic
900	#386	C₂²×C₃₁	1	1	yes	characteristic
901	#386	C₂²×C₃₁	1	1	yes	characteristic
902	#386	C₂²×C₃₁	1	1	yes	characteristic
903	#386	C₂²×C₃₁	1	1	yes	characteristic
904	#386	C₂²×C₃₁	1	1	yes	characteristic
905	#386	C₂²×C₃₁	1	1	yes	characteristic
906	#386	C₂²×C₃₁	1	1	yes	characteristic
907	#386	C₂²×C₃₁	1	1	yes	characteristic
908	#386	C₂²×C₃₁	1	1	yes	characteristic
909	#385	C₂²×C₃₁	1	1	yes	characteristic
910	#385	C₂²×C₃₁	1	1	yes	characteristic
911	#385	C₂²×C₃₁	1	1	yes	characteristic
912	#385	C₂²×C₃₁	1	1	yes	characteristic
913	#385	C₂²×C₃₁	1	1	yes	characteristic
914	#385	C₂²×C₃₁	1	1	yes	characteristic
915	#385	C₂²×C₃₁	1	1	yes	characteristic
916	#385	C₂²×C₃₁	1	1	yes	characteristic
917	#385	C₂²×C₃₁	1	1	yes	characteristic
918	#385	C₂²×C₃₁	1	1	yes	characteristic
919	#385	C₂²×C₃₁	1	1	yes	characteristic
920	#385	C₂²×C₃₁	1	1	yes	characteristic
921	#385	C₂²×C₃₁	1	1	yes	characteristic
922	#385	C₂²×C₃₁	1	1	yes	characteristic
923	#385	C₂²×C₃₁	1	1	yes	characteristic
924	#385	C₂²×C₃₁	1	1	yes	characteristic
925	#383	C₂²×C₃₁	1	1	yes	characteristic
926	#382	C₂²×C₃₁	1	1	yes	characteristic
927	#381	C₂²×C₃₁	1	1	yes	characteristic
928	#381	C₂²×C₃₁	1	1	yes	characteristic
929	#381	C₂²×C₃₁	1	1	yes	characteristic
930	#381	C₂²×C₃₁	1	1	yes	characteristic
931	#381	C₂²×C₃₁	1	1	yes	characteristic
932	#380	C₂²×C₃₁	1	1	yes	characteristic
933	#380	C₂²×C₃₁	1	1	yes	characteristic
934	#380	C₂²×C₃₁	1	1	yes	characteristic
935	#380	C₂²×C₃₁	1	1	yes	characteristic
936	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
937	C₄×C₄⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
938	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
939	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
940	C₄×C₂²⋊C₄	C₂²×C₃₁	1	1	yes	characteristic
941	C₂×#95	C₂²×C₃₁	1	1	yes	characteristic
942	C₂×#95	C₂²×C₃₁	1	1	yes	characteristic
943	C₂×#95	C₂²×C₃₁	1	1	yes	characteristic
944	C₂×#95	C₂²×C₃₁	1	1	yes	characteristic
945	C₂×C₃₁	—	2	4	no	—
946	C₂×C₃₁	—	4	2	no	—
947	C₂×C₃₁	—	4	2	no	—
948	C₂×C₃₁	—	8	1	no	—
949	C₂×C₃₁	C₂×#525	1	1	yes	characteristic
950	C₂×C₃₁	#3455	1	1	yes	characteristic
951	C₂×C₃₁	#3461	1	1	yes	characteristic
952	C₂×C₃₁	#3485	1	1	yes	characteristic
953	C₂×C₃₁	#3489	1	1	yes	characteristic
954	C₂×C₃₁	#3515	1	1	yes	characteristic
955	C₂×C₃₁	#3521	1	1	yes	characteristic
956	C₂×#41	—	2	4	no	—
957	C₂×#41	—	2	4	no	—
958	C₂×#41	—	2	4	no	—
959	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
960	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
961	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
962	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
963	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
964	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
965	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
966	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
967	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
968	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
969	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
970	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
971	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
972	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
973	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
974	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
975	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
976	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
977	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
978	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
979	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
980	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
981	#126	—	2	4	no	—
982	#126	—	2	4	no	—
983	#125	—	2	4	no	—
984	#125	—	2	4	no	—
985	#123	—	2	4	no	—
986	#123	—	2	4	no	—
987	#123	—	2	4	no	—
988	#123	—	2	4	no	—
989	#123	—	2	4	no	—
990	#123	—	2	4	no	—
991	C₂²⋊Q₈	—	2	4	no	—
992	C₂²⋊Q₈	—	2	4	no	—
993	C₂²⋊Q₈	—	2	4	no	—
994	#121	—	2	4	no	—
995	#121	—	2	4	no	—
996	C₄×Q₈	—	2	4	no	—
997	C₄×Q₈	—	2	4	no	—
998	C₄×D₄	—	2	4	no	—
999	C₄×D₄	—	2	4	no	—
1000	C₄×D₄	—	2	4	no	—
1001	C₄×D₄	—	2	4	no	—
1002	C₄×D₄	—	2	4	no	—
1003	C₄×D₄	—	2	4	no	—
1004	C₄×D₄	D₄×C₃₁	1	8	yes	complemented
1005	#117	—	2	4	no	—
1006	#117	—	2	4	no	—
1007	#117	—	2	4	no	—
1008	C₂×C₄⋊C₄	—	2	4	no	—
1009	C₂×C₄⋊C₄	—	2	4	no	—
1010	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1031	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1032	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1033	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1034	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1061	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1062	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1082	C₂×C₄²	—	2	4	no	—
1083	C₂×C₄²	—	2	4	no	—
1084	C₂×C₄²	—	2	4	no	—
1085	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1086	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1087	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1088	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1089	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1090	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1091	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1092	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1093	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1094	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1095	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1096	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1097	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1098	#95	C₂³×C₃₁	1	1	yes	characteristic
1099	#95	C₂³×C₃₁	1	1	yes	characteristic
1100	#95	C₂³×C₃₁	1	1	yes	characteristic
1101	#95	C₂³×C₃₁	1	1	yes	characteristic
1102	#95	C₂³×C₃₁	1	1	yes	characteristic
1103	#95	C₂³×C₃₁	1	1	yes	characteristic
1104	#95	C₂³×C₃₁	1	1	yes	characteristic
1105	#95	C₂³×C₃₁	1	1	yes	characteristic
1106	#95	C₂³×C₃₁	1	1	yes	characteristic
1107	#95	C₂³×C₃₁	1	1	yes	characteristic
1108	#95	C₂³×C₃₁	1	1	yes	characteristic
1109	#95	C₂³×C₃₁	1	1	yes	characteristic
1110	#95	C₂³×C₃₁	1	1	yes	characteristic
1111	#95	C₂³×C₃₁	1	1	yes	characteristic
1112	#95	C₂³×C₃₁	1	1	yes	characteristic
1113	#95	C₂³×C₃₁	1	1	yes	characteristic
1114	#95	C₂³×C₃₁	1	1	yes	characteristic
1115	#95	C₂³×C₃₁	1	1	yes	characteristic
1116	#95	C₂³×C₃₁	1	1	yes	characteristic
1117	#95	C₂³×C₃₁	1	1	yes	characteristic
1118	#95	C₂³×C₃₁	1	1	yes	characteristic
1119	#95	C₂³×C₃₁	1	1	yes	characteristic
1120	#95	C₂³×C₃₁	1	1	yes	characteristic
1121	#95	C₂³×C₃₁	1	1	yes	characteristic
1122	#95	C₂³×C₃₁	1	1	yes	characteristic
1123	#95	C₂³×C₃₁	1	1	yes	characteristic
1124	#95	C₂³×C₃₁	1	1	yes	characteristic
1125	#95	C₂³×C₃₁	1	1	yes	characteristic
1126	#95	C₂³×C₃₁	1	1	yes	characteristic
1127	#95	C₂³×C₃₁	1	1	yes	characteristic
1128	#95	C₂³×C₃₁	1	1	yes	characteristic
1129	#95	C₂³×C₃₁	1	1	yes	characteristic
1130	#95	C₂³×C₃₁	1	1	yes	characteristic
1131	#95	C₂³×C₃₁	1	1	yes	characteristic
1132	#95	C₂³×C₃₁	1	1	yes	characteristic
1133	#95	C₂³×C₃₁	1	1	yes	characteristic
1134	#95	C₂³×C₃₁	1	1	yes	characteristic
1135	#95	C₂³×C₃₁	1	1	yes	characteristic
1136	#95	C₂³×C₃₁	1	1	yes	characteristic
1137	#95	C₂³×C₃₁	1	1	yes	characteristic
1138	#95	C₂³×C₃₁	1	1	yes	characteristic
1139	#95	C₂³×C₃₁	1	1	yes	characteristic
1140	#95	C₂³×C₃₁	1	1	yes	characteristic
1141	#95	C₂³×C₃₁	1	1	yes	characteristic
1142	#95	C₂³×C₃₁	1	1	yes	characteristic
1143	#95	C₂³×C₃₁	1	1	yes	characteristic
1144	#95	C₂³×C₃₁	1	1	yes	characteristic
1145	#95	C₂³×C₃₁	1	1	yes	characteristic
1146	C₃₁	#35096	1	1	yes	characteristic, direct product factor, Sylow
1147	C₂⁴	C₂⁴×C₃₁	1	1	yes	characteristic
1148	C₂⁴	C₂⁴×C₃₁	1	1	yes	characteristic
1149	C₂⁴	C₂⁴×C₃₁	1	1	yes	characteristic
1150	C₂⁴	C₂⁴×C₃₁	1	1	yes	characteristic
1151	#41	—	2	32	no	—
1152	C₂×Q₈	—	2	2	no	—
1153	C₂×Q₈	—	2	2	no	—
1154	C₂×Q₈	—	2	2	no	—
1155	C₂×Q₈	—	2	2	no	—
1156	C₂×Q₈	—	4	1	no	—
1157	C₂×Q₈	—	4	1	no	—
1158	C₂×D₄	—	2	2	no	—
1159	C₂×D₄	—	2	2	no	—
1160	C₂×D₄	—	2	2	no	—
1161	C₂×D₄	—	2	2	no	—
1162	C₂×D₄	—	2	2	no	—
1163	C₂×D₄	—	2	2	no	—
1164	C₂×D₄	—	2	2	no	—
1165	C₂×D₄	—	2	2	no	—
1166	C₂×D₄	—	2	2	no	—
1167	C₂×D₄	—	2	2	no	—
1168	C₂×D₄	—	2	2	no	—
1169	C₂×D₄	—	2	2	no	—
1170	C₂×D₄	—	4	1	no	—
1171	C₂×D₄	—	4	1	no	—
1172	C₂×D₄	—	4	1	no	—
1173	C₂×D₄	—	4	1	no	—
1174	C₂×D₄	C₂×D₄×C₃₁	1	4	yes	—
1175	C₂×D₄	#41×C₃₁	1	4	yes	—
1176	C₂²×C₄	—	2	2	no	—
1177	C₂²×C₄	—	2	2	no	—
1178	C₂²×C₄	—	2	2	no	—
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	—	2	2	no	—
1191	C₂²×C₄	—	2	2	no	—
1192	C₂²×C₄	—	2	2	no	—
1193	C₂²×C₄	—	2	2	no	—
1194	C₂²×C₄	—	2	2	no	—
1195	C₂²×C₄	—	2	2	no	—
1196	C₂²×C₄	—	2	2	no	—
1197	C₂²×C₄	—	2	2	no	—
1198	C₂²×C₄	—	4	1	no	—
1199	C₂²×C₄	—	4	1	no	—
1200	C₂²×C₄	—	4	1	no	—
1201	C₂²×C₄	—	4	1	no	—
1202	C₂²×C₄	—	4	1	no	—
1203	C₂²×C₄	—	4	1	no	—
1204	C₂²×C₄	—	4	1	no	—
1205	C₂²×C₄	—	4	1	no	—
1206	C₂²×C₄	—	4	1	no	—
1207	C₂²×C₄	—	4	1	no	—
1208	C₂²×C₄	—	4	1	no	—
1209	C₂²×C₄	—	4	1	no	—
1210	C₂²×C₄	—	4	1	no	—
1211	C₂²×C₄	—	4	1	no	—
1212	C₂²×C₄	—	4	1	no	—
1213	C₂²×C₄	—	4	1	no	—
1214	C₂²×C₄	—	4	1	no	—
1215	C₂²×C₄	C₂×D₄×C₃₁	1	4	yes	—
1216	C₂²×C₄	C₂×D₄×C₃₁	1	4	yes	—
1217	C₂²×C₄	#41×C₃₁	1	4	yes	—
1218	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1219	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1220	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1221	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1222	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1223	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1224	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1225	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1226	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1227	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1228	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1229	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1230	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1231	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1232	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1233	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1234	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1235	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1236	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1237	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1238	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1239	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1240	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1241	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1242	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1243	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1244	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1245	C₄⋊C₄	—	2	2	no	—
1246	C₄⋊C₄	—	2	2	no	—
1247	C₄⋊C₄	—	2	2	no	—
1248	C₄⋊C₄	—	2	2	no	—
1249	C₄⋊C₄	—	2	2	no	—
1250	C₄⋊C₄	—	2	2	no	—
1251	C₄⋊C₄	—	2	2	no	—
1252	C₄⋊C₄	—	2	2	no	—
1253	C₄⋊C₄	—	2	2	no	—
1254	C₄⋊C₄	—	2	2	no	—
1255	C₄⋊C₄	—	2	2	no	—
1256	C₄⋊C₄	—	2	2	no	—
1257	C₄⋊C₄	—	2	2	no	—
1258	C₄⋊C₄	—	2	2	no	—
1259	C₄⋊C₄	—	2	2	no	—
1260	C₄⋊C₄	—	2	2	no	—
1261	C₄⋊C₄	—	2	2	no	—
1262	C₄⋊C₄	—	2	2	no	—
1263	C₄⋊C₄	—	2	2	no	—
1264	C₄⋊C₄	—	2	2	no	—
1265	C₄⋊C₄	—	2	2	no	—
1266	C₄⋊C₄	—	2	2	no	—
1267	C₄⋊C₄	—	2	2	no	—
1268	C₄⋊C₄	—	2	2	no	—
1269	C₄⋊C₄	—	2	2	no	—
1270	C₄⋊C₄	—	2	2	no	—
1271	C₄⋊C₄	—	2	2	no	—
1272	C₄⋊C₄	—	2	2	no	—
1273	C₄⋊C₄	—	4	1	no	—
1274	C₄⋊C₄	—	4	1	no	—
1275	C₄⋊C₄	—	4	1	no	—
1276	C₄⋊C₄	—	4	1	no	—
1277	C₄⋊C₄	—	4	1	no	—
1278	C₄⋊C₄	—	4	1	no	—
1279	C₄⋊C₄	—	4	1	no	—
1280	C₄⋊C₄	—	4	1	no	—
1281	C₄⋊C₄	—	4	1	no	—
1282	C₄⋊C₄	C₂×D₄×C₃₁	1	4	yes	—
1283	C₂²⋊C₄	—	2	2	no	—
1284	C₂²⋊C₄	—	2	2	no	—
1285	C₂²⋊C₄	—	2	2	no	—
1286	C₂²⋊C₄	—	2	2	no	—
1287	C₂²⋊C₄	—	2	2	no	—
1288	C₂²⋊C₄	—	2	2	no	—
1289	C₂²⋊C₄	—	2	2	no	—
1290	C₂²⋊C₄	—	2	2	no	—
1291	C₂²⋊C₄	—	2	2	no	—
1292	C₂²⋊C₄	—	2	2	no	—
1293	C₂²⋊C₄	—	2	2	no	—
1294	C₂²⋊C₄	—	2	2	no	—
1295	C₂²⋊C₄	—	2	2	no	—
1296	C₂²⋊C₄	—	2	2	no	—
1297	C₂²⋊C₄	—	2	2	no	—
1298	C₂²⋊C₄	—	2	2	no	—
1299	C₂²⋊C₄	—	2	2	no	—
1300	C₂²⋊C₄	—	2	2	no	—
1301	C₂²⋊C₄	—	2	2	no	—
1302	C₂²⋊C₄	—	2	2	no	—
1303	C₂²⋊C₄	—	2	2	no	—
1304	C₂²⋊C₄	—	4	1	no	—
1305	C₂²⋊C₄	—	4	1	no	—
1306	C₂²⋊C₄	—	4	1	no	—
1307	C₂²⋊C₄	—	4	1	no	—
1308	C₂²⋊C₄	—	4	1	no	—
1309	C₂²⋊C₄	—	4	1	no	—
1310	C₂²⋊C₄	—	4	1	no	—
1311	C₂²⋊C₄	—	4	1	no	—
1312	C₂²⋊C₄	—	4	1	no	—
1313	C₂²⋊C₄	—	4	1	no	—
1314	C₂²⋊C₄	—	4	1	no	—
1315	C₂²⋊C₄	C₂×D₄×C₃₁	1	4	yes	—
1316	C₂²⋊C₄	C₂×D₄×C₃₁	1	4	yes	—
1317	C₄²	—	2	2	no	—
1318	C₄²	—	2	2	no	—
1319	C₄²	—	2	2	no	—
1320	C₄²	—	2	2	no	—
1321	C₄²	—	2	2	no	—
1322	C₄²	—	2	2	no	—
1323	C₄²	—	2	2	no	—
1324	C₄²	—	2	2	no	—
1325	C₄²	—	2	2	no	—
1326	C₄²	—	2	2	no	—
1327	C₄²	—	4	1	no	—
1328	C₄²	—	4	1	no	—
1329	C₄²	C₂×D₄×C₃₁	1	4	yes	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	2	1	no	—
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	2	1	no	—
1340	C₂³	—	2	1	no	—
1341	C₂³	—	2	1	no	—
1342	C₂³	—	2	1	no	—
1343	C₂³	—	2	1	no	—
1344	C₂³	—	2	1	no	—
1345	C₂³	—	2	1	no	—
1346	C₂³	—	2	1	no	—
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	C₂²×D₄×C₃₁	1	2	yes	—
1354	C₂³	C₂²×D₄×C₃₁	1	2	yes	—
1355	C₂³	C₂×#41×C₃₁	1	2	yes	—
1356	C₂³	C₂×#41×C₃₁	1	2	yes	—
1357	C₂³	C₂×#41×C₃₁	1	2	yes	—
1358	C₂³	C₂⁵×C₃₁	1	1	yes	characteristic
1359	Q₈	—	2	8	no	—
1360	Q₈	—	8	2	no	—
1361	D₄	—	2	8	no	—
1362	D₄	—	2	8	no	—
1363	D₄	—	2	8	no	—
1364	D₄	—	4	4	no	—
1365	D₄	—	8	2	no	—
1366	D₄	—	8	2	no	—
1367	C₂×C₄	—	2	8	no	—
1368	C₂×C₄	—	2	8	no	—
1369	C₂×C₄	—	2	8	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	4	4	no	—
1443	C₂×C₄	—	4	4	no	—
1444	C₂×C₄	—	4	4	no	—
1445	C₂×C₄	—	4	4	no	—
1446	C₂×C₄	—	4	4	no	—
1447	C₂×C₄	—	4	4	no	—
1448	C₂×C₄	—	4	4	no	—
1449	C₂×C₄	—	4	4	no	—
1450	C₂×C₄	—	8	2	no	—
1451	C₂×C₄	—	8	2	no	—
1452	C₂×C₄	—	8	2	no	—
1453	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
1454	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
1455	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
1456	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
1457	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
1458	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
1459	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
1460	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
1461	C₂×C₄	C₃₁×2₋¹⁺⁴	1	2	yes	—
1462	C₂²	—	2	2	no	—
1463	C₂²	—	2	2	no	—
1464	C₂²	—	2	2	no	—
1465	C₂²	—	2	2	no	—
1466	C₂²	—	2	2	no	—
1467	C₂²	—	2	2	no	—
1468	C₂²	—	2	2	no	—
1469	C₂²	—	2	2	no	—
1470	C₂²	—	2	2	no	—
1471	C₂²	—	2	2	no	—
1472	C₂²	—	2	2	no	—
1473	C₂²	—	2	2	no	—
1474	C₂²	—	4	1	no	—
1475	C₂²	—	4	1	no	—
1476	C₂²	—	4	1	no	—
1477	C₂²	—	4	1	no	—
1478	C₂²	—	4	1	no	—
1479	C₂²	—	4	1	no	—
1480	C₂²	—	4	1	no	—
1481	C₂²	—	4	1	no	—
1482	C₂²	—	4	1	no	—
1483	C₂²	—	4	1	no	—
1484	C₂²	—	4	1	no	—
1485	C₂²	—	4	1	no	—
1486	C₂²	—	4	1	no	—
1487	C₂²	—	4	1	no	—
1488	C₂²	—	4	1	no	—
1489	C₂²	C₃₁×#525	1	4	yes	—
1490	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1491	C₂²	C₂²×#41×C₃₁	1	1	yes	characteristic
1492	C₂²	C₂²×#41×C₃₁	1	1	yes	characteristic
1493	C₂²	C₂×C₃₁×2₋¹⁺⁴	1	1	yes	characteristic
1494	C₂²	C₃₁×#585	1	1	yes	characteristic
1495	C₂²	C₃₁×#585	1	1	yes	characteristic
1496	C₂²	C₃₁×#585	1	1	yes	characteristic
1497	C₄	—	2	2	no	—
1498	C₄	—	2	2	no	—
1499	C₄	—	2	2	no	—
1500	C₄	—	2	2	no	—
1501	C₄	—	2	2	no	—
1502	C₄	—	2	2	no	—
1503	C₄	—	2	2	no	—
1504	C₄	—	2	2	no	—
1505	C₄	—	2	2	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	4	1	no	—
1508	C₄	—	4	1	no	—
1509	C₄	—	4	1	no	—
1510	C₄	—	4	1	no	—
1511	C₄	—	4	1	no	—
1512	C₄	—	4	1	no	—
1513	C₄	—	4	1	no	—
1514	C₄	—	4	1	no	—
1515	C₄	—	4	1	no	—
1516	C₄	—	4	1	no	—
1517	C₄	—	4	1	no	—
1518	C₄	—	4	1	no	—
1519	C₄	—	4	1	no	—
1520	C₄	—	4	1	no	—
1521	C₄	—	4	1	no	—
1522	C₄	—	4	1	no	—
1523	C₄	—	4	1	no	—
1524	C₂	—	2	4	no	—
1525	C₂	—	4	2	no	—
1526	C₂	—	4	2	no	—
1527	C₂	—	8	1	no	—
1528	C₂	C₂×C₃₁×#525	1	1	yes	characteristic
1529	C₂	C₃₁×#3455	1	1	yes	characteristic
1530	C₂	C₃₁×#3461	1	1	yes	characteristic
1531	C₂	C₃₁×#3485	1	1	yes	characteristic
1532	C₂	C₃₁×#3489	1	1	yes	characteristic
1533	C₂	C₃₁×#3515	1	1	yes	characteristic
1534	C₂	C₃₁×#3521	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃₁
prime radical	C₃₁×#2430	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₃₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃₁×#539	C₂	semidirect
2. C₂×C₄×#41×C₃₁	C₂	semidirect
3. C₃₁×#2855	C₂	semidirect
4. C₃₁×#2853	C₂	semidirect
5. C₃₁×#2852	C₂	semidirect
6. C₃₁×#2851	C₂	semidirect
7. C₃₁×#2638	C₂	semidirect
8. C₃₁×#2637	C₂	semidirect
9. C₃₁×#2634	C₂	semidirect
10. C₃₁×#2630	C₂	semidirect
11. C₃₁×#2478	C₂	semidirect
12. C₃₁×#2477	C₂	semidirect
13. C₃₁×#2475	C₂	semidirect
14. C₃₁×#2470	C₂	semidirect
15. C₃₁×#2468	C₂	semidirect
16. C₃₁×#2465	C₂	semidirect
17. C₃₁×#2462	C₂	semidirect
18. C₃₁×#2457	C₂	semidirect
19. C₃₁×#2450	C₂	semidirect
20. C₃₁×#2444	C₂	semidirect
21. C₃₁×#2438	C₂	semidirect
23. C₃₁×#2425	C₂	semidirect
24. C₃₁×#2419	C₂	semidirect
25. C₃₁×#2413	C₂	semidirect
26. C₃₁×#2406	C₂	semidirect
27. C₃₁×#2325	C₂	semidirect
28. C₃₁×#2322	C₂	semidirect
29. C₃₁×#2318	C₂	semidirect
30. C₄×C₃₁×#123	C₂	semidirect
31. C₂×C₃₁×#387	C₂	semidirect
237. C₄×D₄×C₃₁	D₄	semidirect
562. #35096	C₃₁	direct (N × H)
695. C₂×#539	C₂×C₃₁	semidirect
696. C₂×C₄×#41	C₂×C₃₁	semidirect
697. #2855	C₂×C₃₁	semidirect
698. #2853	C₂×C₃₁	semidirect
699. #2852	C₂×C₃₁	semidirect
700. #2851	C₂×C₃₁	semidirect
701. #2638	C₂×C₃₁	semidirect
702. #2637	C₂×C₃₁	semidirect
703. #2634	C₂×C₃₁	semidirect
704. #2630	C₂×C₃₁	semidirect
705. #2478	C₂×C₃₁	semidirect
706. #2477	C₂×C₃₁	semidirect
707. #2475	C₂×C₃₁	semidirect
708. #2470	C₂×C₃₁	semidirect
709. #2468	C₂×C₃₁	semidirect
710. #2465	C₂×C₃₁	semidirect
711. #2462	C₂×C₃₁	semidirect
712. #2457	C₂×C₃₁	semidirect
713. #2450	C₂×C₃₁	semidirect
714. #2444	C₂×C₃₁	semidirect
715. #2438	C₂×C₃₁	semidirect
717. #2425	C₂×C₃₁	semidirect
718. #2419	C₂×C₃₁	semidirect
719. #2413	C₂×C₃₁	semidirect
720. #2406	C₂×C₃₁	semidirect
721. #2325	C₂×C₃₁	semidirect
722. #2322	C₂×C₃₁	semidirect
723. #2318	C₂×C₃₁	semidirect
724. C₄×#123	C₂×C₃₁	semidirect
725. C₂×#387	C₂×C₃₁	semidirect
1004. C₄×D₄	D₄×C₃₁	semidirect
1146. C₃₁	#35096	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×#539	2
C₂×C₄×#41×C₃₁	2
C₃₁×#2855	2
C₃₁×#2853	2
C₃₁×#2852	2
C₃₁×#2851	2
C₃₁×#2638	2
C₃₁×#2637	2
C₃₁×#2634	2
C₃₁×#2630	2
C₃₁×#2478	2
C₃₁×#2477	2
C₃₁×#2475	2
C₃₁×#2470	2
C₃₁×#2468	2
C₃₁×#2465	2
C₃₁×#2462	2
C₃₁×#2457	2
C₃₁×#2450	2
C₃₁×#2444	2
C₃₁×#2438	2
C₃₁×#2430	2
C₃₁×#2425	2
C₃₁×#2419	2
C₃₁×#2413	2
C₃₁×#2406	2
C₃₁×#2325	2
C₃₁×#2322	2
C₃₁×#2318	2
C₄×C₃₁×#123	2
C₂×C₃₁×#387	2
#35096	31

Subgroups — C31×#35096 #21491855

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#35096 #21491855