Subgroups — C₃₁×#62027 #21518786

Order 7936.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3562	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3513	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3401	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3396	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3360	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3330	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3327	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3326	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3317	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3306	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3297	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3282	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3274	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3273	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3273	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3267	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3260	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3257	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3256	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3225	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3220	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3212	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3122	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3105	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#3045	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#3042	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃₁×#3036	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃₁×#2993	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
33	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
35	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic
37	C₂²×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
38	C₃₁×#562	—	2	1	no	—
39	C₃₁×#560	—	2	1	no	—
40	C₃₁×#559	C₂²	1	1	yes	characteristic, complemented
41	C₃₁×#559	C₂²	1	1	yes	characteristic, complemented
42	C₃₁×#556	C₂²	1	1	yes	characteristic, complemented
43	C₃₁×#554	C₂²	1	1	yes	characteristic, complemented
44	C₃₁×#553	—	2	1	no	—
45	C₃₁×#553	—	2	1	no	—
46	C₃₁×#553	C₂²	1	1	yes	characteristic
47	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
48	C₃₁×#551	—	2	1	no	—
49	C₃₁×#551	—	2	1	no	—
50	C₃₁×#551	—	2	1	no	—
51	C₃₁×#550	C₂²	1	1	yes	characteristic
52	C₃₁×#548	C₂²	1	1	yes	characteristic
53	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
54	C₃₁×#547	C₂²	1	1	yes	characteristic
55	C₃₁×#547	C₂²	1	1	yes	characteristic, complemented
56	C₃₁×#546	—	2	1	no	—
57	C₃₁×#546	C₂²	1	1	yes	characteristic
58	C₃₁×#546	C₂²	1	1	yes	characteristic
59	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
60	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
61	D₄²×C₃₁	C₂²	1	1	yes	characteristic, complemented
62	C₃₁×#542	C₂²	1	1	yes	characteristic, complemented
63	C₃₁×#541	C₂²	1	1	yes	characteristic, complemented
64	C₃₁×#540	—	2	1	no	—
65	C₃₁×#540	C₂²	1	1	yes	characteristic
66	C₃₁×#540	C₂²	1	1	yes	characteristic, complemented
67	C₃₁×#539	—	2	1	no	—
68	C₃₁×#539	—	2	1	no	—
69	C₃₁×#538	—	2	1	no	—
70	C₃₁×#538	—	2	1	no	—
71	C₃₁×#538	—	2	1	no	—
72	C₃₁×#536	C₂²	1	1	yes	characteristic, complemented
73	C₃₁×#535	C₂²	1	1	yes	characteristic, complemented
74	C₃₁×#532	C₂²	1	1	yes	characteristic, complemented
75	C₃₁×#529	C₂²	1	1	yes	characteristic
76	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
77	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
78	C₃₁×#525	—	2	1	no	—
79	C₂×C₃₁×#123	—	2	1	no	—
80	C₃₁×#520	C₂²	1	1	yes	characteristic
81	C₃₁×#518	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
83	C₃₁×#497	C₂²	1	1	yes	characteristic, complemented
84	C₃₁×#496	C₂²	1	1	yes	characteristic
85	C₃₁×#495	C₂²	1	1	yes	characteristic, complemented
86	C₃₁×#495	C₂²	1	1	yes	characteristic, complemented
87	C₃₁×#495	C₂²	1	1	yes	characteristic, complemented
88	C₃₁×#493	C₂²	1	1	yes	characteristic
89	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
90	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
91	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
92	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
93	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
94	C₃₁×#487	C₂²	1	1	yes	characteristic, complemented
95	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
96	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
97	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
98	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
99	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
100	C₃₁×#481	C₂²	1	1	yes	characteristic, complemented
101	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
102	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
103	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
104	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
105	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
106	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
108	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#476	C₂²	1	1	yes	characteristic, complemented
110	C₃₁×#474	C₂²	1	1	yes	characteristic, complemented
111	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#469	C₂²	1	1	yes	characteristic
113	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
114	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
115	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
116	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
117	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
118	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
119	C₃₁×#466	C₂²	1	1	yes	characteristic
120	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
121	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
122	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
123	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
124	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
125	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
126	C₃₁×#463	C₂²	1	1	yes	characteristic
127	C₃₁×#463	C₂²	1	1	yes	characteristic
128	C₃₁×#463	C₂²	1	1	yes	characteristic
129	C₃₁×#463	C₂²	1	1	yes	characteristic
130	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
131	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
132	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
133	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
134	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
135	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
136	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
137	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
138	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
139	C₃₁×#462	C₂²	1	1	yes	characteristic, complemented
140	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
141	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
142	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
143	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
144	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
145	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
146	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
147	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
148	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
149	C₃₁×#459	C₂²	1	1	yes	characteristic
150	C₃₁×#459	C₂²	1	1	yes	characteristic
151	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
152	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
153	C₃₁×#452	C₂²	1	1	yes	characteristic
154	C₃₁×#452	C₂²	1	1	yes	characteristic
155	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
156	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
157	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
158	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
159	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
160	C₃₁×#449	C₂²	1	1	yes	characteristic
161	C₃₁×#449	C₂²	1	1	yes	characteristic
162	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
163	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
164	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
165	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
166	C₃₁×#447	C₂²	1	1	yes	characteristic
167	C₃₁×#447	C₂²	1	1	yes	characteristic
168	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
169	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
170	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
171	C₃₁×#446	C₂²	1	1	yes	characteristic, complemented
172	C₈×Q₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
173	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
174	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
175	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
176	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
177	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
178	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
179	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
180	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
181	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic
182	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic
183	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
185	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
186	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
187	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
188	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
189	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
190	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
191	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
192	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
193	C₃₁×#431	C₂²	1	1	yes	characteristic, complemented
194	C₃₁×#424	C₂²	1	1	yes	characteristic, complemented
195	C₃₁×#424	C₂²	1	1	yes	characteristic, complemented
196	C₃₁×#423	C₂²	1	1	yes	characteristic, complemented
197	C₃₁×#419	C₂²	1	1	yes	characteristic, complemented
198	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
199	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
200	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
201	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₃₁×#102	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₃₁	—	2	1	no	—
204	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
205	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
206	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
207	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
208	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₃₁	—	2	1	no	—
211	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₃₁	—	2	1	no	—
215	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
216	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
217	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
218	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
219	C₃₁×#135	—	4	2	no	—
220	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
221	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
222	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₃₁	—	4	2	no	—
224	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
226	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
228	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
229	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
230	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
231	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
232	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
233	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
234	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
235	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
236	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
237	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
238	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
239	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
240	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
241	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
242	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
243	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
244	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
245	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
246	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
247	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
248	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
249	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
250	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
251	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
252	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
253	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
254	C₃₁×#127	—	2	1	no	—
255	C₃₁×#127	C₂³	1	1	yes	characteristic
256	C₃₁×#127	C₂³	1	1	yes	characteristic
257	C₃₁×#127	C₂³	1	1	yes	characteristic
258	C₃₁×#126	—	2	1	no	—
259	C₃₁×#126	—	2	1	no	—
260	C₃₁×#126	—	2	1	no	—
261	C₃₁×#126	—	2	1	no	—
262	C₃₁×#126	—	2	1	no	—
263	C₃₁×#126	—	2	1	no	—
264	C₃₁×#126	—	2	1	no	—
265	C₃₁×#126	—	2	1	no	—
266	C₃₁×#126	—	2	1	no	—
267	C₃₁×#126	D₄	1	1	yes	characteristic
268	C₃₁×#126	D₄	1	1	yes	characteristic
269	C₃₁×#125	—	2	1	no	—
270	C₃₁×#125	—	2	1	no	—
271	C₃₁×#125	—	2	1	no	—
272	C₃₁×#125	D₄	1	1	yes	characteristic
273	C₃₁×#125	C₂³	1	1	yes	characteristic
274	C₃₁×#125	C₂³	1	1	yes	characteristic
275	C₃₁×#125	C₂³	1	1	yes	characteristic
276	C₃₁×#124	—	2	1	no	—
277	C₃₁×#124	—	2	1	no	—
278	C₃₁×#124	—	2	1	no	—
279	C₃₁×#124	—	2	1	no	—
280	C₃₁×#124	—	2	1	no	—
281	C₃₁×#124	D₄	1	1	yes	characteristic
282	C₃₁×#124	C₂³	1	1	yes	characteristic
283	C₃₁×#124	C₂³	1	1	yes	characteristic
284	C₃₁×#124	C₂³	1	1	yes	characteristic
285	C₃₁×#124	C₂³	1	1	yes	characteristic
286	C₃₁×#124	C₂³	1	1	yes	characteristic
287	C₃₁×#124	C₂³	1	1	yes	characteristic
288	C₃₁×#124	C₂³	1	1	yes	characteristic
289	C₃₁×#123	—	2	1	no	—
290	C₃₁×#123	—	2	1	no	—
291	C₃₁×#123	—	2	1	no	—
292	C₃₁×#123	—	2	1	no	—
293	C₃₁×#123	—	2	1	no	—
294	C₃₁×#123	—	2	1	no	—
295	C₃₁×#123	—	2	1	no	—
296	C₃₁×#123	—	2	1	no	—
297	C₃₁×#123	—	2	1	no	—
298	C₃₁×#123	—	2	1	no	—
299	C₃₁×#123	—	2	1	no	—
300	C₃₁×#123	—	2	1	no	—
301	C₃₁×#123	—	2	1	no	—
302	C₃₁×#123	—	2	1	no	—
303	C₃₁×#123	—	2	1	no	—
304	C₃₁×#123	—	2	1	no	—
305	C₃₁×#123	—	2	1	no	—
306	C₃₁×#123	—	2	1	no	—
307	C₃₁×#123	—	2	1	no	—
308	C₃₁×#123	—	2	1	no	—
309	C₃₁×#123	—	2	1	no	—
310	C₃₁×#123	—	2	1	no	—
311	C₃₁×#123	—	2	1	no	—
312	C₃₁×#123	D₄	1	1	yes	characteristic
313	C₃₁×#123	D₄	1	1	yes	characteristic
314	C₃₁×C₂²⋊Q₈	—	2	1	no	—
315	C₃₁×C₂²⋊Q₈	—	2	1	no	—
316	C₃₁×C₂²⋊Q₈	—	2	1	no	—
317	C₃₁×C₂²⋊Q₈	—	2	1	no	—
318	C₃₁×C₂²⋊Q₈	—	2	1	no	—
319	C₃₁×C₂²⋊Q₈	—	2	1	no	—
320	C₃₁×C₂²⋊Q₈	—	2	1	no	—
321	C₃₁×C₂²⋊Q₈	—	2	1	no	—
322	C₃₁×C₂²⋊Q₈	—	2	1	no	—
323	C₃₁×C₂²⋊Q₈	—	2	1	no	—
324	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
325	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
326	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
327	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
328	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
329	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
330	C₃₁×#121	—	2	1	no	—
331	C₃₁×#121	—	2	1	no	—
332	C₃₁×#121	—	2	1	no	—
333	C₃₁×#121	—	2	1	no	—
334	C₃₁×#121	—	2	1	no	—
335	C₃₁×#121	—	2	1	no	—
336	C₃₁×#121	—	2	1	no	—
337	C₃₁×#121	—	2	1	no	—
338	C₃₁×#121	—	2	1	no	—
339	C₃₁×#121	—	2	1	no	—
340	C₃₁×#121	—	2	1	no	—
341	C₃₁×#121	—	2	1	no	—
342	C₃₁×#121	—	2	1	no	—
343	C₃₁×#121	—	2	1	no	—
344	C₃₁×#121	—	2	1	no	—
345	C₃₁×#121	—	2	1	no	—
346	C₃₁×#121	—	2	1	no	—
347	C₃₁×#121	—	2	1	no	—
348	C₃₁×#121	—	2	1	no	—
349	C₃₁×#121	D₄	1	1	yes	characteristic
350	C₃₁×#121	C₂³	1	1	yes	characteristic
351	C₃₁×#121	C₂³	1	1	yes	characteristic
352	C₃₁×#121	C₂³	1	1	yes	characteristic
353	C₃₁×#121	C₂³	1	1	yes	characteristic
354	C₃₁×#121	C₂³	1	1	yes	characteristic
355	C₃₁×#121	C₂³	1	1	yes	characteristic
356	C₃₁×#121	C₂³	1	1	yes	characteristic
357	C₃₁×#120	—	2	1	no	—
358	C₃₁×#120	—	2	1	no	—
359	C₃₁×#120	—	2	1	no	—
360	C₃₁×#120	—	2	1	no	—
361	C₃₁×#120	—	2	1	no	—
362	C₃₁×#120	—	2	1	no	—
363	C₃₁×#120	—	2	1	no	—
364	C₃₁×#120	—	2	1	no	—
365	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
366	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
367	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
368	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
369	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
370	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₃₁	—	2	1	no	—
372	C₄×D₄×C₃₁	—	2	1	no	—
373	C₄×D₄×C₃₁	—	2	1	no	—
374	C₄×D₄×C₃₁	—	2	1	no	—
375	C₄×D₄×C₃₁	—	2	1	no	—
376	C₄×D₄×C₃₁	—	2	1	no	—
377	C₄×D₄×C₃₁	—	2	1	no	—
378	C₄×D₄×C₃₁	—	2	1	no	—
379	C₄×D₄×C₃₁	—	2	1	no	—
380	C₄×D₄×C₃₁	—	2	1	no	—
381	C₄×D₄×C₃₁	—	2	1	no	—
382	C₄×D₄×C₃₁	—	2	1	no	—
383	C₄×D₄×C₃₁	—	2	1	no	—
384	C₄×D₄×C₃₁	—	2	1	no	—
385	C₄×D₄×C₃₁	—	2	1	no	—
386	C₄×D₄×C₃₁	—	2	1	no	—
387	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
388	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
389	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
390	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
391	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
392	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
393	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
394	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
395	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
396	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
397	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
398	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
399	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
400	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
401	C₃₁×#117	—	2	1	no	—
402	C₃₁×#117	—	2	1	no	—
403	C₃₁×#117	—	2	1	no	—
404	C₃₁×#117	—	2	1	no	—
405	C₃₁×#117	—	2	1	no	—
406	C₃₁×#117	C₂³	1	1	yes	characteristic
407	C₃₁×#117	C₂³	1	1	yes	characteristic
408	C₃₁×#117	C₂³	1	1	yes	characteristic
409	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
410	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
411	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
412	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
413	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
414	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
415	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
416	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
417	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
418	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
419	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
420	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
421	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
422	C₃₁×#107	C₂³	1	1	yes	characteristic
423	C₃₁×#107	C₂³	1	1	yes	characteristic
424	C₃₁×#107	C₂³	1	1	yes	characteristic
425	C₃₁×#107	C₂³	1	1	yes	characteristic
426	C₃₁×#106	C₂³	1	1	yes	characteristic
427	C₃₁×#106	C₂³	1	1	yes	characteristic
428	C₃₁×#106	C₂³	1	1	yes	characteristic
429	C₃₁×#106	C₂³	1	1	yes	characteristic
430	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₃₁×#103	C₂³	1	1	yes	characteristic
441	C₃₁×#103	C₂³	1	1	yes	characteristic
442	C₃₁×#103	C₂³	1	1	yes	characteristic
443	C₃₁×#103	C₂³	1	1	yes	characteristic
444	C₃₁×#103	C₂³	1	1	yes	characteristic
445	C₃₁×#103	C₂³	1	1	yes	characteristic
446	C₃₁×#103	C₂³	1	1	yes	characteristic
447	C₃₁×#103	C₂³	1	1	yes	characteristic
448	C₃₁×#103	C₂³	1	1	yes	characteristic
449	C₃₁×#103	C₂³	1	1	yes	characteristic
450	C₃₁×#103	C₂³	1	1	yes	characteristic
451	C₃₁×#103	C₂³	1	1	yes	characteristic
452	C₃₁×#103	C₂³	1	1	yes	characteristic
453	C₃₁×#103	C₂³	1	1	yes	characteristic
454	C₃₁×#102	C₂³	1	1	yes	characteristic
455	C₃₁×#102	C₂³	1	1	yes	characteristic
456	C₃₁×#102	C₂³	1	1	yes	characteristic
457	C₃₁×#102	C₂³	1	1	yes	characteristic
458	C₃₁×#102	C₂³	1	1	yes	characteristic
459	C₃₁×#102	C₂³	1	1	yes	characteristic
460	C₃₁×#102	C₂³	1	1	yes	characteristic
461	C₃₁×#102	C₂³	1	1	yes	characteristic
462	C₃₁×#102	C₂³	1	1	yes	characteristic
463	C₃₁×#102	C₂³	1	1	yes	characteristic
464	C₃₁×#102	C₂³	1	1	yes	characteristic
465	C₃₁×#102	C₂³	1	1	yes	characteristic
466	C₃₁×#102	C₂³	1	1	yes	characteristic
467	C₃₁×#102	C₂³	1	1	yes	characteristic
468	C₃₁×#102	C₂³	1	1	yes	characteristic
469	C₃₁×#102	C₂³	1	1	yes	characteristic
470	C₃₁×#102	C₂³	1	1	yes	characteristic
471	C₃₁×#102	C₂³	1	1	yes	characteristic
472	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
473	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
474	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₃₁×#97	C₂³	1	1	yes	characteristic
479	C₃₁×#97	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
481	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
484	C₂⁴×C₃₁	—	2	1	no	—
485	C₂⁴×C₃₁	—	2	1	no	—
486	C₂⁴×C₃₁	—	2	1	no	—
487	#41×C₃₁	—	2	2	no	—
488	#41×C₃₁	—	4	1	no	—
489	#41×C₃₁	—	4	1	no	—
490	#41×C₃₁	—	4	1	no	—
491	#41×C₃₁	—	4	1	no	—
492	#41×C₃₁	—	4	1	no	—
493	#41×C₃₁	—	4	1	no	—
494	#41×C₃₁	—	4	1	no	—
495	#41×C₃₁	—	4	1	no	—
496	#41×C₃₁	—	4	1	no	—
497	#41×C₃₁	—	8	2	no	—
498	C₂×Q₈×C₃₁	—	2	1	no	—
499	C₂×Q₈×C₃₁	—	2	1	no	—
500	C₂×Q₈×C₃₁	—	4	1	no	—
501	C₂×Q₈×C₃₁	—	4	1	no	—
502	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
503	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
504	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
505	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
506	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₃₁	—	2	2	no	—
508	C₂×D₄×C₃₁	—	2	2	no	—
509	C₂×D₄×C₃₁	—	2	1	no	—
510	C₂×D₄×C₃₁	—	2	1	no	—
511	C₂×D₄×C₃₁	—	2	1	no	—
512	C₂×D₄×C₃₁	—	2	1	no	—
513	C₂×D₄×C₃₁	—	2	1	no	—
514	C₂×D₄×C₃₁	—	2	1	no	—
515	C₂×D₄×C₃₁	—	2	1	no	—
516	C₂×D₄×C₃₁	—	2	1	no	—
517	C₂×D₄×C₃₁	—	2	1	no	—
518	C₂×D₄×C₃₁	—	2	1	no	—
519	C₂×D₄×C₃₁	—	2	1	no	—
520	C₂×D₄×C₃₁	—	2	1	no	—
521	C₂×D₄×C₃₁	—	2	1	no	—
522	C₂×D₄×C₃₁	—	2	1	no	—
523	C₂×D₄×C₃₁	—	2	1	no	—
524	C₂×D₄×C₃₁	—	2	1	no	—
525	C₂×D₄×C₃₁	—	2	1	no	—
526	C₂×D₄×C₃₁	—	2	1	no	—
527	C₂×D₄×C₃₁	—	2	1	no	—
528	C₂×D₄×C₃₁	—	2	1	no	—
529	C₂×D₄×C₃₁	—	2	1	no	—
530	C₂×D₄×C₃₁	—	4	1	no	—
531	C₂×D₄×C₃₁	—	4	1	no	—
532	C₂×D₄×C₃₁	—	4	1	no	—
533	C₂×D₄×C₃₁	—	4	1	no	—
534	C₂×D₄×C₃₁	—	8	2	no	—
535	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
536	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
537	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
538	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
539	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
540	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
541	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
542	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
543	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₃₁	—	2	1	no	—
545	C₂²×C₄×C₃₁	—	2	1	no	—
546	C₂²×C₄×C₃₁	—	2	1	no	—
547	C₂²×C₄×C₃₁	—	2	1	no	—
548	C₂²×C₄×C₃₁	—	2	1	no	—
549	C₂²×C₄×C₃₁	—	2	1	no	—
550	C₂²×C₄×C₃₁	—	2	1	no	—
551	C₂²×C₄×C₃₁	—	2	1	no	—
552	C₂²×C₄×C₃₁	—	2	1	no	—
553	C₂²×C₄×C₃₁	—	2	1	no	—
554	C₂²×C₄×C₃₁	—	2	1	no	—
555	C₂²×C₄×C₃₁	—	2	1	no	—
556	C₂²×C₄×C₃₁	—	2	1	no	—
557	C₂²×C₄×C₃₁	—	2	1	no	—
558	C₂²×C₄×C₃₁	—	2	1	no	—
559	C₂²×C₄×C₃₁	—	2	1	no	—
560	C₂²×C₄×C₃₁	—	2	1	no	—
561	C₂²×C₄×C₃₁	—	2	1	no	—
562	C₂²×C₄×C₃₁	—	2	1	no	—
563	C₂²×C₄×C₃₁	—	8	2	no	—
564	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
565	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
566	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
567	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
568	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
569	Q₁₆×C₃₁	—	4	1	no	—
570	Q₁₆×C₃₁	—	4	1	no	—
571	Q₁₆×C₃₁	—	4	1	no	—
572	SD₁₆×C₃₁	—	2	2	no	—
573	SD₁₆×C₃₁	—	2	2	no	—
574	SD₁₆×C₃₁	—	2	2	no	—
575	SD₁₆×C₃₁	—	4	1	no	—
576	SD₁₆×C₃₁	—	4	1	no	—
577	SD₁₆×C₃₁	—	4	1	no	—
578	SD₁₆×C₃₁	—	4	1	no	—
579	SD₁₆×C₃₁	—	4	1	no	—
580	SD₁₆×C₃₁	—	4	1	no	—
581	SD₁₆×C₃₁	—	4	1	no	—
582	SD₁₆×C₃₁	—	4	1	no	—
583	SD₁₆×C₃₁	—	4	1	no	—
584	D₈×C₃₁	—	2	2	no	—
585	D₈×C₃₁	—	2	2	no	—
586	D₈×C₃₁	—	2	2	no	—
587	D₈×C₃₁	—	4	1	no	—
588	D₈×C₃₁	—	4	1	no	—
589	D₈×C₃₁	—	4	1	no	—
590	D₈×C₃₁	—	4	1	no	—
591	D₈×C₃₁	—	4	1	no	—
592	D₈×C₃₁	—	4	1	no	—
593	M₁₆×C₃₁	—	4	1	no	—
594	M₁₆×C₃₁	—	4	1	no	—
595	M₁₆×C₃₁	—	4	1	no	—
596	M₁₆×C₃₁	—	4	1	no	—
597	C₂×C₈×C₃₁	—	4	1	no	—
598	C₂×C₈×C₃₁	—	4	1	no	—
599	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
600	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
601	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
602	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
603	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
604	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
605	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
606	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
607	C₄⋊C₄×C₃₁	—	2	1	no	—
608	C₄⋊C₄×C₃₁	—	2	1	no	—
609	C₄⋊C₄×C₃₁	—	2	1	no	—
610	C₄⋊C₄×C₃₁	—	2	1	no	—
611	C₄⋊C₄×C₃₁	—	2	1	no	—
612	C₄⋊C₄×C₃₁	—	2	1	no	—
613	C₄⋊C₄×C₃₁	—	2	1	no	—
614	C₄⋊C₄×C₃₁	—	2	1	no	—
615	C₄⋊C₄×C₃₁	—	2	1	no	—
616	C₄⋊C₄×C₃₁	—	2	1	no	—
617	C₄⋊C₄×C₃₁	—	2	1	no	—
618	C₄⋊C₄×C₃₁	—	2	1	no	—
619	C₄⋊C₄×C₃₁	—	2	1	no	—
620	C₄⋊C₄×C₃₁	—	2	1	no	—
621	C₄⋊C₄×C₃₁	—	2	1	no	—
622	C₄⋊C₄×C₃₁	—	2	1	no	—
623	C₄⋊C₄×C₃₁	—	2	1	no	—
624	C₄⋊C₄×C₃₁	—	2	1	no	—
625	C₄⋊C₄×C₃₁	—	2	1	no	—
626	C₄⋊C₄×C₃₁	—	2	1	no	—
627	C₄⋊C₄×C₃₁	—	2	1	no	—
628	C₄⋊C₄×C₃₁	—	2	1	no	—
629	C₄⋊C₄×C₃₁	—	2	1	no	—
630	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
631	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
632	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
633	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
634	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
635	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
636	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
637	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
638	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
639	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
640	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
641	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
642	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
643	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
644	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
645	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
646	C₂²⋊C₄×C₃₁	—	2	1	no	—
647	C₂²⋊C₄×C₃₁	—	2	1	no	—
648	C₂²⋊C₄×C₃₁	—	2	1	no	—
649	C₂²⋊C₄×C₃₁	—	2	1	no	—
650	C₂²⋊C₄×C₃₁	—	2	1	no	—
651	C₂²⋊C₄×C₃₁	—	2	1	no	—
652	C₂²⋊C₄×C₃₁	—	2	1	no	—
653	C₂²⋊C₄×C₃₁	—	2	1	no	—
654	C₂²⋊C₄×C₃₁	—	2	1	no	—
655	C₂²⋊C₄×C₃₁	—	2	1	no	—
656	C₂²⋊C₄×C₃₁	—	2	1	no	—
657	C₂²⋊C₄×C₃₁	—	2	1	no	—
658	C₂²⋊C₄×C₃₁	—	2	1	no	—
659	C₂²⋊C₄×C₃₁	—	2	1	no	—
660	C₂²⋊C₄×C₃₁	—	2	1	no	—
661	C₂²⋊C₄×C₃₁	—	2	1	no	—
662	C₂²⋊C₄×C₃₁	—	2	1	no	—
663	C₂²⋊C₄×C₃₁	—	2	1	no	—
664	C₂²⋊C₄×C₃₁	—	2	1	no	—
665	C₂²⋊C₄×C₃₁	—	2	1	no	—
666	C₂²⋊C₄×C₃₁	—	2	1	no	—
667	C₂²⋊C₄×C₃₁	—	2	1	no	—
668	C₂²⋊C₄×C₃₁	—	2	1	no	—
669	C₂²⋊C₄×C₃₁	—	2	1	no	—
670	C₂²⋊C₄×C₃₁	—	2	1	no	—
671	C₂²⋊C₄×C₃₁	—	2	1	no	—
672	C₂²⋊C₄×C₃₁	—	2	1	no	—
673	C₂²⋊C₄×C₃₁	—	2	1	no	—
674	C₂²⋊C₄×C₃₁	—	2	1	no	—
675	C₂²⋊C₄×C₃₁	—	2	1	no	—
676	C₂²⋊C₄×C₃₁	—	2	1	no	—
677	C₂²⋊C₄×C₃₁	—	2	1	no	—
678	C₂²⋊C₄×C₃₁	—	2	1	no	—
679	C₂²⋊C₄×C₃₁	—	2	1	no	—
680	C₂²⋊C₄×C₃₁	—	2	1	no	—
681	C₂²⋊C₄×C₃₁	—	2	1	no	—
682	C₂²⋊C₄×C₃₁	—	2	1	no	—
683	C₂²⋊C₄×C₃₁	—	2	1	no	—
684	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
685	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
686	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
687	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
688	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
689	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
690	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
691	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
692	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
693	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
694	C₄²×C₃₁	—	2	1	no	—
695	C₄²×C₃₁	—	2	1	no	—
696	C₄²×C₃₁	—	2	1	no	—
697	C₄²×C₃₁	—	2	1	no	—
698	C₄²×C₃₁	—	2	1	no	—
699	C₄²×C₃₁	—	2	1	no	—
700	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
701	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
702	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
703	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
704	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
705	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
706	#62027	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
707	C₂³×C₃₁	—	2	1	no	—
708	C₂³×C₃₁	—	2	1	no	—
709	C₂³×C₃₁	—	2	1	no	—
710	C₂³×C₃₁	—	2	1	no	—
711	C₂³×C₃₁	—	2	1	no	—
712	C₂³×C₃₁	—	2	1	no	—
713	C₂³×C₃₁	—	4	2	no	—
714	C₂³×C₃₁	—	4	2	no	—
715	C₂³×C₃₁	—	4	2	no	—
716	C₂³×C₃₁	—	8	1	no	—
717	C₂³×C₃₁	—	8	1	no	—
718	C₂³×C₃₁	—	8	1	no	—
719	C₂³×C₃₁	—	8	1	no	—
720	C₂³×C₃₁	—	8	1	no	—
721	C₂³×C₃₁	—	8	1	no	—
722	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
723	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
724	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
725	Q₈×C₃₁	—	2	1	no	—
726	Q₈×C₃₁	—	2	1	no	—
727	Q₈×C₃₁	—	2	1	no	—
728	Q₈×C₃₁	—	2	1	no	—
729	Q₈×C₃₁	—	2	1	no	—
730	Q₈×C₃₁	—	2	1	no	—
731	Q₈×C₃₁	—	2	1	no	—
732	Q₈×C₃₁	—	2	1	no	—
733	Q₈×C₃₁	—	4	1	no	—
734	Q₈×C₃₁	—	8	1	no	—
735	Q₈×C₃₁	—	8	1	no	—
736	D₄×C₃₁	—	2	1	no	—
737	D₄×C₃₁	—	2	1	no	—
738	D₄×C₃₁	—	2	1	no	—
739	D₄×C₃₁	—	2	1	no	—
740	D₄×C₃₁	—	2	1	no	—
741	D₄×C₃₁	—	2	1	no	—
742	D₄×C₃₁	—	2	1	no	—
743	D₄×C₃₁	—	2	1	no	—
744	D₄×C₃₁	—	2	1	no	—
745	D₄×C₃₁	—	2	1	no	—
746	D₄×C₃₁	—	2	1	no	—
747	D₄×C₃₁	—	4	1	no	—
748	D₄×C₃₁	—	4	1	no	—
749	D₄×C₃₁	—	4	1	no	—
750	D₄×C₃₁	—	4	2	no	—
751	D₄×C₃₁	—	4	2	no	—
752	D₄×C₃₁	—	4	2	no	—
753	D₄×C₃₁	—	4	2	no	—
754	D₄×C₃₁	—	8	1	no	—
755	D₄×C₃₁	—	8	1	no	—
756	D₄×C₃₁	—	8	1	no	—
757	D₄×C₃₁	—	8	1	no	—
758	D₄×C₃₁	—	8	1	no	—
759	D₄×C₃₁	—	8	1	no	—
760	D₄×C₃₁	—	8	1	no	—
761	D₄×C₃₁	—	8	1	no	—
762	D₄×C₃₁	—	8	1	no	—
763	D₄×C₃₁	—	8	1	no	—
764	D₄×C₃₁	—	8	1	no	—
765	D₄×C₃₁	—	8	1	no	—
766	D₄×C₃₁	—	8	1	no	—
767	D₄×C₃₁	—	8	1	no	—
768	D₄×C₃₁	—	8	1	no	—
769	D₄×C₃₁	—	8	1	no	—
770	D₄×C₃₁	—	8	1	no	—
771	D₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
772	C₂×C₄×C₃₁	—	2	1	no	—
773	C₂×C₄×C₃₁	—	2	1	no	—
774	C₂×C₄×C₃₁	—	2	1	no	—
775	C₂×C₄×C₃₁	—	2	1	no	—
776	C₂×C₄×C₃₁	—	2	1	no	—
777	C₂×C₄×C₃₁	—	2	1	no	—
778	C₂×C₄×C₃₁	—	2	1	no	—
779	C₂×C₄×C₃₁	—	2	1	no	—
780	C₂×C₄×C₃₁	—	2	1	no	—
781	C₂×C₄×C₃₁	—	2	1	no	—
782	C₂×C₄×C₃₁	—	2	1	no	—
783	C₂×C₄×C₃₁	—	2	1	no	—
784	C₂×C₄×C₃₁	—	2	1	no	—
785	C₂×C₄×C₃₁	—	2	1	no	—
786	C₂×C₄×C₃₁	—	2	1	no	—
787	C₂×C₄×C₃₁	—	2	1	no	—
788	C₂×C₄×C₃₁	—	4	1	no	—
789	C₂×C₄×C₃₁	—	4	1	no	—
790	C₂×C₄×C₃₁	—	4	2	no	—
791	C₂×C₄×C₃₁	—	4	2	no	—
792	C₂×C₄×C₃₁	—	8	1	no	—
793	C₂×C₄×C₃₁	—	8	1	no	—
794	C₂×C₄×C₃₁	—	8	1	no	—
795	C₂×C₄×C₃₁	—	8	1	no	—
796	C₂×C₄×C₃₁	—	8	1	no	—
797	C₂×C₄×C₃₁	—	8	1	no	—
798	C₂×C₄×C₃₁	—	8	1	no	—
799	C₂×C₄×C₃₁	—	8	1	no	—
800	C₂×C₄×C₃₁	—	8	1	no	—
801	C₂×C₄×C₃₁	—	8	1	no	—
802	C₂×C₄×C₃₁	—	8	1	no	—
803	C₂×C₄×C₃₁	—	8	1	no	—
804	C₂×C₄×C₃₁	—	8	1	no	—
805	C₂×C₄×C₃₁	—	8	1	no	—
806	C₂×C₄×C₃₁	—	8	1	no	—
807	C₂×C₄×C₃₁	—	8	1	no	—
808	C₂×C₄×C₃₁	—	8	1	no	—
809	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
818	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
820	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
821	C₈×C₃₁	—	2	1	no	—
822	C₈×C₃₁	—	2	1	no	—
823	C₈×C₃₁	—	2	1	no	—
824	C₈×C₃₁	—	2	1	no	—
825	C₈×C₃₁	—	2	1	no	—
826	C₈×C₃₁	—	2	1	no	—
827	C₈×C₃₁	—	2	1	no	—
828	C₈×C₃₁	—	2	1	no	—
829	#3562	C₂×C₃₁	1	1	yes	characteristic, complemented
830	#3513	C₂×C₃₁	1	1	yes	characteristic, complemented
831	#3401	C₂×C₃₁	1	1	yes	characteristic, complemented
832	#3396	C₂×C₃₁	1	1	yes	characteristic, complemented
833	#3370	C₂×C₃₁	1	1	yes	characteristic, complemented
834	#3360	C₂×C₃₁	1	1	yes	characteristic, complemented
835	#3330	C₂×C₃₁	1	1	yes	characteristic, complemented
836	#3327	C₂×C₃₁	1	1	yes	characteristic, complemented
837	#3326	C₂×C₃₁	1	1	yes	characteristic, complemented
838	#3317	C₂×C₃₁	1	1	yes	characteristic, complemented
839	#3306	C₂×C₃₁	1	1	yes	characteristic, complemented
840	#3297	C₂×C₃₁	1	1	yes	characteristic, complemented
841	#3282	C₂×C₃₁	1	1	yes	characteristic, complemented
842	#3274	C₂×C₃₁	1	1	yes	characteristic, complemented
843	#3273	C₂×C₃₁	1	1	yes	characteristic, complemented
844	#3273	C₂×C₃₁	1	1	yes	characteristic, complemented
845	#3267	C₂×C₃₁	1	1	yes	characteristic, complemented
846	#3265	C₂×C₃₁	1	1	yes	characteristic, complemented
847	#3260	C₂×C₃₁	1	1	yes	characteristic, complemented
848	#3257	C₂×C₃₁	1	1	yes	characteristic, complemented
849	#3256	C₂×C₃₁	1	1	yes	characteristic, complemented
850	#3225	C₂×C₃₁	1	1	yes	characteristic, complemented
851	#3220	C₂×C₃₁	1	1	yes	characteristic, complemented
852	#3212	C₂×C₃₁	1	1	yes	characteristic, complemented
853	#3122	C₂×C₃₁	1	1	yes	characteristic, complemented
854	#3120	C₂×C₃₁	1	1	yes	characteristic, complemented
855	#3105	C₂×C₃₁	1	1	yes	characteristic, complemented
856	#3045	C₂×C₃₁	1	1	yes	characteristic, complemented
857	#3042	C₂×C₃₁	1	1	yes	characteristic, complemented
858	#3036	C₂×C₃₁	1	1	yes	characteristic, complemented
859	#2993	C₂×C₃₁	1	1	yes	characteristic, complemented
860	C₂²×C₃₁	—	2	1	no	—
861	C₂²×C₃₁	—	2	1	no	—
862	C₂²×C₃₁	—	2	1	no	—
863	C₂²×C₃₁	—	2	1	no	—
864	C₂²×C₃₁	—	2	1	no	—
865	C₂²×C₃₁	—	2	1	no	—
866	C₂²×C₃₁	—	2	1	no	—
867	C₂²×C₃₁	—	2	1	no	—
868	C₂²×C₃₁	—	2	1	no	—
869	C₂²×C₃₁	—	2	2	no	—
870	C₂²×C₃₁	—	4	1	no	—
871	C₂²×C₃₁	—	4	1	no	—
872	C₂²×C₃₁	—	4	1	no	—
873	C₂²×C₃₁	—	4	1	no	—
874	C₂²×C₃₁	—	4	1	no	—
875	C₂²×C₃₁	—	4	1	no	—
876	C₂²×C₃₁	—	4	1	no	—
877	C₂²×C₃₁	—	4	1	no	—
878	C₂²×C₃₁	—	4	1	no	—
879	C₂²×C₃₁	—	4	1	no	—
880	C₂²×C₃₁	—	4	1	no	—
881	C₂²×C₃₁	—	4	1	no	—
882	C₂²×C₃₁	—	4	1	no	—
883	C₂²×C₃₁	—	4	1	no	—
884	C₂²×C₃₁	—	4	1	no	—
885	C₂²×C₃₁	—	4	1	no	—
886	C₂²×C₃₁	—	4	1	no	—
887	C₂²×C₃₁	—	8	4	no	—
888	C₂²×C₃₁	—	16	2	no	—
889	C₂²×C₃₁	—	16	2	no	—
890	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
891	C₄×C₃₁	—	2	1	no	—
892	C₄×C₃₁	—	2	1	no	—
893	C₄×C₃₁	—	2	1	no	—
894	C₄×C₃₁	—	2	1	no	—
895	C₄×C₃₁	—	2	1	no	—
896	C₄×C₃₁	—	2	1	no	—
897	C₄×C₃₁	—	2	1	no	—
898	C₄×C₃₁	—	2	1	no	—
899	C₄×C₃₁	—	2	1	no	—
900	C₄×C₃₁	—	2	1	no	—
901	C₄×C₃₁	—	2	1	no	—
902	C₄×C₃₁	—	4	1	no	—
903	C₄×C₃₁	—	4	1	no	—
904	C₄×C₃₁	—	4	1	no	—
905	C₄×C₃₁	—	4	1	no	—
906	C₄×C₃₁	—	4	1	no	—
907	C₄×C₃₁	—	4	1	no	—
908	C₄×C₃₁	—	4	1	no	—
909	C₄×C₃₁	—	4	1	no	—
910	C₄×C₃₁	—	4	1	no	—
911	C₄×C₃₁	—	4	1	no	—
912	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
913	C₄×C₃₁	#585	1	1	yes	characteristic
914	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic
915	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic
916	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic
917	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
918	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic
919	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
920	#562	—	2	1	no	—
921	#560	—	2	1	no	—
922	#559	C₂²×C₃₁	1	1	yes	characteristic, complemented
923	#559	C₂²×C₃₁	1	1	yes	characteristic, complemented
924	#556	C₂²×C₃₁	1	1	yes	characteristic, complemented
925	#554	C₂²×C₃₁	1	1	yes	characteristic, complemented
926	#553	—	2	1	no	—
927	#553	—	2	1	no	—
928	#553	C₂²×C₃₁	1	1	yes	characteristic
929	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
930	#551	—	2	1	no	—
931	#551	—	2	1	no	—
932	#551	—	2	1	no	—
933	#550	C₂²×C₃₁	1	1	yes	characteristic
934	#548	C₂²×C₃₁	1	1	yes	characteristic
935	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
936	#547	C₂²×C₃₁	1	1	yes	characteristic
937	#547	C₂²×C₃₁	1	1	yes	characteristic, complemented
938	#546	—	2	1	no	—
939	#546	C₂²×C₃₁	1	1	yes	characteristic
940	#546	C₂²×C₃₁	1	1	yes	characteristic
941	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
942	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
943	D₄²	C₂²×C₃₁	1	1	yes	characteristic, complemented
944	#542	C₂²×C₃₁	1	1	yes	characteristic, complemented
945	#541	C₂²×C₃₁	1	1	yes	characteristic, complemented
946	#540	—	2	1	no	—
947	#540	C₂²×C₃₁	1	1	yes	characteristic
948	#540	C₂²×C₃₁	1	1	yes	characteristic, complemented
949	#539	—	2	1	no	—
950	#539	—	2	1	no	—
951	#538	—	2	1	no	—
952	#538	—	2	1	no	—
953	#538	—	2	1	no	—
954	#536	C₂²×C₃₁	1	1	yes	characteristic, complemented
955	#535	C₂²×C₃₁	1	1	yes	characteristic, complemented
956	#532	C₂²×C₃₁	1	1	yes	characteristic, complemented
957	#529	C₂²×C₃₁	1	1	yes	characteristic
958	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
959	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
960	#525	—	2	1	no	—
961	C₂×#123	—	2	1	no	—
962	#520	C₂²×C₃₁	1	1	yes	characteristic
963	#518	C₂²×C₃₁	1	1	yes	characteristic, complemented
964	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
965	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
966	#496	C₂²×C₃₁	1	1	yes	characteristic
967	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
968	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
969	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
970	#493	C₂²×C₃₁	1	1	yes	characteristic
971	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
972	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
973	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
974	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
975	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
976	#487	C₂²×C₃₁	1	1	yes	characteristic, complemented
977	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
978	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
979	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
980	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
981	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
982	#481	C₂²×C₃₁	1	1	yes	characteristic, complemented
983	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
984	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
985	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
986	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
987	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
988	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
989	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
990	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
991	#476	C₂²×C₃₁	1	1	yes	characteristic, complemented
992	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
993	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	#469	C₂²×C₃₁	1	1	yes	characteristic
995	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
996	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
997	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
998	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
999	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1000	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1001	#466	C₂²×C₃₁	1	1	yes	characteristic
1002	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1003	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1004	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1005	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1006	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1007	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1008	#463	C₂²×C₃₁	1	1	yes	characteristic
1009	#463	C₂²×C₃₁	1	1	yes	characteristic
1010	#463	C₂²×C₃₁	1	1	yes	characteristic
1011	#463	C₂²×C₃₁	1	1	yes	characteristic
1012	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1013	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1014	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1015	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1016	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1017	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1018	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1019	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1020	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1021	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
1022	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1023	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1027	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1028	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1029	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1030	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1031	#459	C₂²×C₃₁	1	1	yes	characteristic
1032	#459	C₂²×C₃₁	1	1	yes	characteristic
1033	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1034	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1035	#452	C₂²×C₃₁	1	1	yes	characteristic
1036	#452	C₂²×C₃₁	1	1	yes	characteristic
1037	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1038	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1039	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1040	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1041	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1042	#449	C₂²×C₃₁	1	1	yes	characteristic
1043	#449	C₂²×C₃₁	1	1	yes	characteristic
1044	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1045	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1046	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1048	#447	C₂²×C₃₁	1	1	yes	characteristic
1049	#447	C₂²×C₃₁	1	1	yes	characteristic
1050	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1051	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1052	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1053	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1054	C₈×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1055	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1056	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1057	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1058	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1059	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1060	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1061	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1062	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1063	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic
1064	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic
1065	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1066	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1067	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1068	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1069	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1070	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1071	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1072	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1073	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1074	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1075	#431	C₂²×C₃₁	1	1	yes	characteristic, complemented
1076	#424	C₂²×C₃₁	1	1	yes	characteristic, complemented
1077	#424	C₂²×C₃₁	1	1	yes	characteristic, complemented
1078	#423	C₂²×C₃₁	1	1	yes	characteristic, complemented
1079	#419	C₂²×C₃₁	1	1	yes	characteristic, complemented
1080	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1081	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1082	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1083	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1084	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1085	C₂×C₃₁	—	4	1	no	—
1086	C₂×C₃₁	—	4	1	no	—
1087	C₂×C₃₁	—	4	1	no	—
1088	C₂×C₃₁	—	4	2	no	—
1089	C₂×C₃₁	—	8	1	no	—
1090	C₂×C₃₁	—	8	1	no	—
1091	C₂×C₃₁	—	8	1	no	—
1092	C₂×C₃₁	—	8	1	no	—
1093	C₂×C₃₁	—	8	1	no	—
1094	C₂×C₃₁	#3488	1	1	yes	characteristic
1095	C₂×C₃₁	#3584	1	1	yes	characteristic
1096	C₂×C₃₁	#3585	1	1	yes	characteristic
1097	C₂×#41	—	2	1	no	—
1098	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1099	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1100	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1101	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1102	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1103	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1104	C₂²×D₄	—	2	1	no	—
1105	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1106	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1107	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1108	C₂³×C₄	—	2	1	no	—
1109	AGL(1,ℤ/8)	—	4	2	no	—
1110	AGL(1,ℤ/8)	—	4	2	no	—
1111	AGL(1,ℤ/8)	—	4	2	no	—
1112	AGL(1,ℤ/8)	—	4	2	no	—
1113	#135	—	4	2	no	—
1114	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1115	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1116	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1117	C₂×SD₁₆	—	4	2	no	—
1118	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1119	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1120	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1121	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1122	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1123	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1124	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1125	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1126	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1127	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1128	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1129	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1130	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1131	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1132	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1133	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1134	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1135	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1136	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1137	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1138	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1139	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1140	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1141	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1142	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1143	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1144	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1145	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1146	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1147	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1148	#127	—	2	1	no	—
1149	#127	C₂³×C₃₁	1	1	yes	characteristic
1150	#127	C₂³×C₃₁	1	1	yes	characteristic
1151	#127	C₂³×C₃₁	1	1	yes	characteristic
1152	#126	—	2	1	no	—
1153	#126	—	2	1	no	—
1154	#126	—	2	1	no	—
1155	#126	—	2	1	no	—
1156	#126	—	2	1	no	—
1157	#126	—	2	1	no	—
1158	#126	—	2	1	no	—
1159	#126	—	2	1	no	—
1160	#126	—	2	1	no	—
1161	#126	D₄×C₃₁	1	1	yes	characteristic
1162	#126	D₄×C₃₁	1	1	yes	characteristic
1163	#125	—	2	1	no	—
1164	#125	—	2	1	no	—
1165	#125	—	2	1	no	—
1166	#125	D₄×C₃₁	1	1	yes	characteristic
1167	#125	C₂³×C₃₁	1	1	yes	characteristic
1168	#125	C₂³×C₃₁	1	1	yes	characteristic
1169	#125	C₂³×C₃₁	1	1	yes	characteristic
1170	#124	—	2	1	no	—
1171	#124	—	2	1	no	—
1172	#124	—	2	1	no	—
1173	#124	—	2	1	no	—
1174	#124	—	2	1	no	—
1175	#124	D₄×C₃₁	1	1	yes	characteristic
1176	#124	C₂³×C₃₁	1	1	yes	characteristic
1177	#124	C₂³×C₃₁	1	1	yes	characteristic
1178	#124	C₂³×C₃₁	1	1	yes	characteristic
1179	#124	C₂³×C₃₁	1	1	yes	characteristic
1180	#124	C₂³×C₃₁	1	1	yes	characteristic
1181	#124	C₂³×C₃₁	1	1	yes	characteristic
1182	#124	C₂³×C₃₁	1	1	yes	characteristic
1183	#123	—	2	1	no	—
1184	#123	—	2	1	no	—
1185	#123	—	2	1	no	—
1186	#123	—	2	1	no	—
1187	#123	—	2	1	no	—
1188	#123	—	2	1	no	—
1189	#123	—	2	1	no	—
1190	#123	—	2	1	no	—
1191	#123	—	2	1	no	—
1192	#123	—	2	1	no	—
1193	#123	—	2	1	no	—
1194	#123	—	2	1	no	—
1195	#123	—	2	1	no	—
1196	#123	—	2	1	no	—
1197	#123	—	2	1	no	—
1198	#123	—	2	1	no	—
1199	#123	—	2	1	no	—
1200	#123	—	2	1	no	—
1201	#123	—	2	1	no	—
1202	#123	—	2	1	no	—
1203	#123	—	2	1	no	—
1204	#123	—	2	1	no	—
1205	#123	—	2	1	no	—
1206	#123	D₄×C₃₁	1	1	yes	characteristic
1207	#123	D₄×C₃₁	1	1	yes	characteristic
1208	C₂²⋊Q₈	—	2	1	no	—
1209	C₂²⋊Q₈	—	2	1	no	—
1210	C₂²⋊Q₈	—	2	1	no	—
1211	C₂²⋊Q₈	—	2	1	no	—
1212	C₂²⋊Q₈	—	2	1	no	—
1213	C₂²⋊Q₈	—	2	1	no	—
1214	C₂²⋊Q₈	—	2	1	no	—
1215	C₂²⋊Q₈	—	2	1	no	—
1216	C₂²⋊Q₈	—	2	1	no	—
1217	C₂²⋊Q₈	—	2	1	no	—
1218	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1219	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1220	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1221	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1222	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1223	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1224	#121	—	2	1	no	—
1225	#121	—	2	1	no	—
1226	#121	—	2	1	no	—
1227	#121	—	2	1	no	—
1228	#121	—	2	1	no	—
1229	#121	—	2	1	no	—
1230	#121	—	2	1	no	—
1231	#121	—	2	1	no	—
1232	#121	—	2	1	no	—
1233	#121	—	2	1	no	—
1234	#121	—	2	1	no	—
1235	#121	—	2	1	no	—
1236	#121	—	2	1	no	—
1237	#121	—	2	1	no	—
1238	#121	—	2	1	no	—
1239	#121	—	2	1	no	—
1240	#121	—	2	1	no	—
1241	#121	—	2	1	no	—
1242	#121	—	2	1	no	—
1243	#121	D₄×C₃₁	1	1	yes	characteristic
1244	#121	C₂³×C₃₁	1	1	yes	characteristic
1245	#121	C₂³×C₃₁	1	1	yes	characteristic
1246	#121	C₂³×C₃₁	1	1	yes	characteristic
1247	#121	C₂³×C₃₁	1	1	yes	characteristic
1248	#121	C₂³×C₃₁	1	1	yes	characteristic
1249	#121	C₂³×C₃₁	1	1	yes	characteristic
1250	#121	C₂³×C₃₁	1	1	yes	characteristic
1251	#120	—	2	1	no	—
1252	#120	—	2	1	no	—
1253	#120	—	2	1	no	—
1254	#120	—	2	1	no	—
1255	#120	—	2	1	no	—
1256	#120	—	2	1	no	—
1257	#120	—	2	1	no	—
1258	#120	—	2	1	no	—
1259	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1260	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1261	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1262	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1263	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1264	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1265	C₄×D₄	—	2	1	no	—
1266	C₄×D₄	—	2	1	no	—
1267	C₄×D₄	—	2	1	no	—
1268	C₄×D₄	—	2	1	no	—
1269	C₄×D₄	—	2	1	no	—
1270	C₄×D₄	—	2	1	no	—
1271	C₄×D₄	—	2	1	no	—
1272	C₄×D₄	—	2	1	no	—
1273	C₄×D₄	—	2	1	no	—
1274	C₄×D₄	—	2	1	no	—
1275	C₄×D₄	—	2	1	no	—
1276	C₄×D₄	—	2	1	no	—
1277	C₄×D₄	—	2	1	no	—
1278	C₄×D₄	—	2	1	no	—
1279	C₄×D₄	—	2	1	no	—
1280	C₄×D₄	—	2	1	no	—
1281	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1282	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1283	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1284	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1285	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1286	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1287	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1288	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1289	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1290	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1291	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1292	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1293	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1294	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1295	#117	—	2	1	no	—
1296	#117	—	2	1	no	—
1297	#117	—	2	1	no	—
1298	#117	—	2	1	no	—
1299	#117	—	2	1	no	—
1300	#117	C₂³×C₃₁	1	1	yes	characteristic
1301	#117	C₂³×C₃₁	1	1	yes	characteristic
1302	#117	C₂³×C₃₁	1	1	yes	characteristic
1303	C₂×C₄⋊C₄	—	2	1	no	—
1304	C₂×C₄⋊C₄	—	2	1	no	—
1305	C₂×C₄⋊C₄	—	2	1	no	—
1306	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1307	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1308	C₂×C₂²⋊C₄	—	2	1	no	—
1309	C₂×C₂²⋊C₄	—	2	1	no	—
1310	C₂×C₂²⋊C₄	—	2	1	no	—
1311	C₂×C₂²⋊C₄	—	2	1	no	—
1312	C₂×C₂²⋊C₄	—	2	1	no	—
1313	C₂×C₂²⋊C₄	—	2	1	no	—
1314	C₂×C₂²⋊C₄	—	2	1	no	—
1315	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1316	#107	C₂³×C₃₁	1	1	yes	characteristic
1317	#107	C₂³×C₃₁	1	1	yes	characteristic
1318	#107	C₂³×C₃₁	1	1	yes	characteristic
1319	#107	C₂³×C₃₁	1	1	yes	characteristic
1320	#106	C₂³×C₃₁	1	1	yes	characteristic
1321	#106	C₂³×C₃₁	1	1	yes	characteristic
1322	#106	C₂³×C₃₁	1	1	yes	characteristic
1323	#106	C₂³×C₃₁	1	1	yes	characteristic
1324	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1325	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1326	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1327	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1328	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1329	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1330	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1331	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1332	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1333	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1334	#103	C₂³×C₃₁	1	1	yes	characteristic
1335	#103	C₂³×C₃₁	1	1	yes	characteristic
1336	#103	C₂³×C₃₁	1	1	yes	characteristic
1337	#103	C₂³×C₃₁	1	1	yes	characteristic
1338	#103	C₂³×C₃₁	1	1	yes	characteristic
1339	#103	C₂³×C₃₁	1	1	yes	characteristic
1340	#103	C₂³×C₃₁	1	1	yes	characteristic
1341	#103	C₂³×C₃₁	1	1	yes	characteristic
1342	#103	C₂³×C₃₁	1	1	yes	characteristic
1343	#103	C₂³×C₃₁	1	1	yes	characteristic
1344	#103	C₂³×C₃₁	1	1	yes	characteristic
1345	#103	C₂³×C₃₁	1	1	yes	characteristic
1346	#103	C₂³×C₃₁	1	1	yes	characteristic
1347	#103	C₂³×C₃₁	1	1	yes	characteristic
1348	#102	C₂³×C₃₁	1	1	yes	characteristic
1349	#102	C₂³×C₃₁	1	1	yes	characteristic
1350	#102	C₂³×C₃₁	1	1	yes	characteristic
1351	#102	C₂³×C₃₁	1	1	yes	characteristic
1352	#102	C₂³×C₃₁	1	1	yes	characteristic
1353	#102	C₂³×C₃₁	1	1	yes	characteristic
1354	#102	C₂³×C₃₁	1	1	yes	characteristic
1355	#102	C₂³×C₃₁	1	1	yes	characteristic
1356	#102	C₂³×C₃₁	1	1	yes	characteristic
1357	#102	C₂³×C₃₁	1	1	yes	characteristic
1358	#102	C₂³×C₃₁	1	1	yes	characteristic
1359	#102	C₂³×C₃₁	1	1	yes	characteristic
1360	#102	C₂³×C₃₁	1	1	yes	characteristic
1361	#102	C₂³×C₃₁	1	1	yes	characteristic
1362	#102	C₂³×C₃₁	1	1	yes	characteristic
1363	#102	C₂³×C₃₁	1	1	yes	characteristic
1364	#102	C₂³×C₃₁	1	1	yes	characteristic
1365	#102	C₂³×C₃₁	1	1	yes	characteristic
1366	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1367	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1368	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1369	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1370	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1371	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1372	#97	C₂³×C₃₁	1	1	yes	characteristic
1373	#97	C₂³×C₃₁	1	1	yes	characteristic
1374	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1375	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1376	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1377	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1378	C₃₁	#62027	1	1	yes	characteristic, direct product factor, Sylow
1379	C₂⁴	—	2	1	no	—
1380	C₂⁴	—	2	1	no	—
1381	C₂⁴	—	2	1	no	—
1382	#41	—	2	2	no	—
1383	#41	—	4	1	no	—
1384	#41	—	4	1	no	—
1385	#41	—	4	1	no	—
1386	#41	—	4	1	no	—
1387	#41	—	4	1	no	—
1388	#41	—	4	1	no	—
1389	#41	—	4	1	no	—
1390	#41	—	4	1	no	—
1391	#41	—	4	1	no	—
1392	#41	—	8	2	no	—
1393	C₂×Q₈	—	2	1	no	—
1394	C₂×Q₈	—	2	1	no	—
1395	C₂×Q₈	—	4	1	no	—
1396	C₂×Q₈	—	4	1	no	—
1397	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1398	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1399	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1400	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1401	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1402	C₂×D₄	—	2	2	no	—
1403	C₂×D₄	—	2	2	no	—
1404	C₂×D₄	—	2	1	no	—
1405	C₂×D₄	—	2	1	no	—
1406	C₂×D₄	—	2	1	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	2	1	no	—
1410	C₂×D₄	—	2	1	no	—
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	2	1	no	—
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	2	1	no	—
1419	C₂×D₄	—	2	1	no	—
1420	C₂×D₄	—	2	1	no	—
1421	C₂×D₄	—	2	1	no	—
1422	C₂×D₄	—	2	1	no	—
1423	C₂×D₄	—	2	1	no	—
1424	C₂×D₄	—	2	1	no	—
1425	C₂×D₄	—	4	1	no	—
1426	C₂×D₄	—	4	1	no	—
1427	C₂×D₄	—	4	1	no	—
1428	C₂×D₄	—	4	1	no	—
1429	C₂×D₄	—	8	2	no	—
1430	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1431	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1432	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1433	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1434	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1435	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1436	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1437	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1438	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1439	C₂²×C₄	—	2	1	no	—
1440	C₂²×C₄	—	2	1	no	—
1441	C₂²×C₄	—	2	1	no	—
1442	C₂²×C₄	—	2	1	no	—
1443	C₂²×C₄	—	2	1	no	—
1444	C₂²×C₄	—	2	1	no	—
1445	C₂²×C₄	—	2	1	no	—
1446	C₂²×C₄	—	2	1	no	—
1447	C₂²×C₄	—	2	1	no	—
1448	C₂²×C₄	—	2	1	no	—
1449	C₂²×C₄	—	2	1	no	—
1450	C₂²×C₄	—	2	1	no	—
1451	C₂²×C₄	—	2	1	no	—
1452	C₂²×C₄	—	2	1	no	—
1453	C₂²×C₄	—	2	1	no	—
1454	C₂²×C₄	—	2	1	no	—
1455	C₂²×C₄	—	2	1	no	—
1456	C₂²×C₄	—	2	1	no	—
1457	C₂²×C₄	—	2	1	no	—
1458	C₂²×C₄	—	8	2	no	—
1459	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1460	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1461	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1462	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1463	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1464	Q₁₆	—	4	1	no	—
1465	Q₁₆	—	4	1	no	—
1466	Q₁₆	—	4	1	no	—
1467	SD₁₆	—	2	2	no	—
1468	SD₁₆	—	2	2	no	—
1469	SD₁₆	—	2	2	no	—
1470	SD₁₆	—	4	1	no	—
1471	SD₁₆	—	4	1	no	—
1472	SD₁₆	—	4	1	no	—
1473	SD₁₆	—	4	1	no	—
1474	SD₁₆	—	4	1	no	—
1475	SD₁₆	—	4	1	no	—
1476	SD₁₆	—	4	1	no	—
1477	SD₁₆	—	4	1	no	—
1478	SD₁₆	—	4	1	no	—
1479	D₈	—	2	2	no	—
1480	D₈	—	2	2	no	—
1481	D₈	—	2	2	no	—
1482	D₈	—	4	1	no	—
1483	D₈	—	4	1	no	—
1484	D₈	—	4	1	no	—
1485	D₈	—	4	1	no	—
1486	D₈	—	4	1	no	—
1487	D₈	—	4	1	no	—
1488	M₁₆	—	4	1	no	—
1489	M₁₆	—	4	1	no	—
1490	M₁₆	—	4	1	no	—
1491	M₁₆	—	4	1	no	—
1492	C₂×C₈	—	4	1	no	—
1493	C₂×C₈	—	4	1	no	—
1494	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1495	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1496	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1497	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1498	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1499	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1500	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1501	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	1	no	—
1507	C₄⋊C₄	—	2	1	no	—
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	—	2	1	no	—
1519	C₄⋊C₄	—	2	1	no	—
1520	C₄⋊C₄	—	2	1	no	—
1521	C₄⋊C₄	—	2	1	no	—
1522	C₄⋊C₄	—	2	1	no	—
1523	C₄⋊C₄	—	2	1	no	—
1524	C₄⋊C₄	—	2	1	no	—
1525	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1526	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1527	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1528	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1529	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1530	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1531	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1532	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1533	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1534	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1535	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1536	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1537	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1538	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1539	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1540	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	2	1	no	—
1576	C₂²⋊C₄	—	2	1	no	—
1577	C₂²⋊C₄	—	2	1	no	—
1578	C₂²⋊C₄	—	2	1	no	—
1579	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1580	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1581	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1582	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1583	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1584	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1585	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1586	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1587	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1588	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1589	C₄²	—	2	1	no	—
1590	C₄²	—	2	1	no	—
1591	C₄²	—	2	1	no	—
1592	C₄²	—	2	1	no	—
1593	C₄²	—	2	1	no	—
1594	C₄²	—	2	1	no	—
1595	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1596	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1597	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1598	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1599	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1600	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1601	C₂³	—	2	1	no	—
1602	C₂³	—	2	1	no	—
1603	C₂³	—	2	1	no	—
1604	C₂³	—	2	1	no	—
1605	C₂³	—	2	1	no	—
1606	C₂³	—	2	1	no	—
1607	C₂³	—	4	2	no	—
1608	C₂³	—	4	2	no	—
1609	C₂³	—	4	2	no	—
1610	C₂³	—	8	1	no	—
1611	C₂³	—	8	1	no	—
1612	C₂³	—	8	1	no	—
1613	C₂³	—	8	1	no	—
1614	C₂³	—	8	1	no	—
1615	C₂³	—	8	1	no	—
1616	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1617	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1618	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1619	Q₈	—	2	1	no	—
1620	Q₈	—	2	1	no	—
1621	Q₈	—	2	1	no	—
1622	Q₈	—	2	1	no	—
1623	Q₈	—	2	1	no	—
1624	Q₈	—	2	1	no	—
1625	Q₈	—	2	1	no	—
1626	Q₈	—	2	1	no	—
1627	Q₈	—	4	1	no	—
1628	Q₈	—	8	1	no	—
1629	Q₈	—	8	1	no	—
1630	D₄	—	2	1	no	—
1631	D₄	—	2	1	no	—
1632	D₄	—	2	1	no	—
1633	D₄	—	2	1	no	—
1634	D₄	—	2	1	no	—
1635	D₄	—	2	1	no	—
1636	D₄	—	2	1	no	—
1637	D₄	—	2	1	no	—
1638	D₄	—	2	1	no	—
1639	D₄	—	2	1	no	—
1640	D₄	—	2	1	no	—
1641	D₄	—	4	1	no	—
1642	D₄	—	4	1	no	—
1643	D₄	—	4	1	no	—
1644	D₄	—	4	2	no	—
1645	D₄	—	4	2	no	—
1646	D₄	—	4	2	no	—
1647	D₄	—	4	2	no	—
1648	D₄	—	8	1	no	—
1649	D₄	—	8	1	no	—
1650	D₄	—	8	1	no	—
1651	D₄	—	8	1	no	—
1652	D₄	—	8	1	no	—
1653	D₄	—	8	1	no	—
1654	D₄	—	8	1	no	—
1655	D₄	—	8	1	no	—
1656	D₄	—	8	1	no	—
1657	D₄	—	8	1	no	—
1658	D₄	—	8	1	no	—
1659	D₄	—	8	1	no	—
1660	D₄	—	8	1	no	—
1661	D₄	—	8	1	no	—
1662	D₄	—	8	1	no	—
1663	D₄	—	8	1	no	—
1664	D₄	—	8	1	no	—
1665	D₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	2	1	no	—
1677	C₂×C₄	—	2	1	no	—
1678	C₂×C₄	—	2	1	no	—
1679	C₂×C₄	—	2	1	no	—
1680	C₂×C₄	—	2	1	no	—
1681	C₂×C₄	—	2	1	no	—
1682	C₂×C₄	—	4	1	no	—
1683	C₂×C₄	—	4	1	no	—
1684	C₂×C₄	—	4	2	no	—
1685	C₂×C₄	—	4	2	no	—
1686	C₂×C₄	—	8	1	no	—
1687	C₂×C₄	—	8	1	no	—
1688	C₂×C₄	—	8	1	no	—
1689	C₂×C₄	—	8	1	no	—
1690	C₂×C₄	—	8	1	no	—
1691	C₂×C₄	—	8	1	no	—
1692	C₂×C₄	—	8	1	no	—
1693	C₂×C₄	—	8	1	no	—
1694	C₂×C₄	—	8	1	no	—
1695	C₂×C₄	—	8	1	no	—
1696	C₂×C₄	—	8	1	no	—
1697	C₂×C₄	—	8	1	no	—
1698	C₂×C₄	—	8	1	no	—
1699	C₂×C₄	—	8	1	no	—
1700	C₂×C₄	—	8	1	no	—
1701	C₂×C₄	—	8	1	no	—
1702	C₂×C₄	—	8	1	no	—
1703	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1704	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1705	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1706	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1707	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1708	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1709	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1710	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1711	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1712	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1713	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1714	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1715	C₈	—	2	1	no	—
1716	C₈	—	2	1	no	—
1717	C₈	—	2	1	no	—
1718	C₈	—	2	1	no	—
1719	C₈	—	2	1	no	—
1720	C₈	—	2	1	no	—
1721	C₈	—	2	1	no	—
1722	C₈	—	2	1	no	—
1723	C₂²	—	2	1	no	—
1724	C₂²	—	2	1	no	—
1725	C₂²	—	2	1	no	—
1726	C₂²	—	2	2	no	—
1727	C₂²	—	2	1	no	—
1728	C₂²	—	2	1	no	—
1729	C₂²	—	2	1	no	—
1730	C₂²	—	2	1	no	—
1731	C₂²	—	2	1	no	—
1732	C₂²	—	2	1	no	—
1733	C₂²	—	4	1	no	—
1734	C₂²	—	4	1	no	—
1735	C₂²	—	4	1	no	—
1736	C₂²	—	4	1	no	—
1737	C₂²	—	4	1	no	—
1738	C₂²	—	4	1	no	—
1739	C₂²	—	4	1	no	—
1740	C₂²	—	4	1	no	—
1741	C₂²	—	4	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	4	1	no	—
1745	C₂²	—	4	1	no	—
1746	C₂²	—	4	1	no	—
1747	C₂²	—	4	1	no	—
1748	C₂²	—	4	1	no	—
1749	C₂²	—	4	1	no	—
1750	C₂²	—	8	4	no	—
1751	C₂²	—	16	2	no	—
1752	C₂²	—	16	2	no	—
1753	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1754	C₄	—	2	1	no	—
1755	C₄	—	2	1	no	—
1756	C₄	—	2	1	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	2	1	no	—
1759	C₄	—	2	1	no	—
1760	C₄	—	2	1	no	—
1761	C₄	—	2	1	no	—
1762	C₄	—	2	1	no	—
1763	C₄	—	2	1	no	—
1764	C₄	—	2	1	no	—
1765	C₄	—	4	1	no	—
1766	C₄	—	4	1	no	—
1767	C₄	—	4	1	no	—
1768	C₄	—	4	1	no	—
1769	C₄	—	4	1	no	—
1770	C₄	—	4	1	no	—
1771	C₄	—	4	1	no	—
1772	C₄	—	4	1	no	—
1773	C₄	—	4	1	no	—
1774	C₄	—	4	1	no	—
1775	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1776	C₄	C₃₁×#585	1	1	yes	characteristic
1777	C₂	—	4	1	no	—
1778	C₂	—	4	1	no	—
1779	C₂	—	4	1	no	—
1780	C₂	—	4	2	no	—
1781	C₂	—	8	1	no	—
1782	C₂	—	8	1	no	—
1783	C₂	—	8	1	no	—
1784	C₂	—	8	1	no	—
1785	C₂	—	8	1	no	—
1786	C₂	C₃₁×#3488	1	1	yes	characteristic
1787	C₂	C₃₁×#3584	1	1	yes	characteristic
1788	C₂	C₃₁×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₁ ◁ C₃₁×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3562	C₂	semidirect
2. C₃₁×#3513	C₂	semidirect
3. C₃₁×#3401	C₂	semidirect
4. C₃₁×#3396	C₂	semidirect
5. C₃₁×#3370	C₂	semidirect
6. C₃₁×#3360	C₂	semidirect
7. C₃₁×#3330	C₂	semidirect
8. C₃₁×#3327	C₂	semidirect
9. C₃₁×#3326	C₂	semidirect
10. C₃₁×#3317	C₂	semidirect
11. C₃₁×#3306	C₂	semidirect
12. C₃₁×#3297	C₂	semidirect
13. C₃₁×#3282	C₂	semidirect
14. C₃₁×#3274	C₂	semidirect
15. C₃₁×#3273	C₂	semidirect
16. C₃₁×#3273	C₂	semidirect
17. C₃₁×#3267	C₂	semidirect
18. C₃₁×#3265	C₂	semidirect
19. C₃₁×#3260	C₂	semidirect
20. C₃₁×#3257	C₂	semidirect
21. C₃₁×#3256	C₂	semidirect
22. C₃₁×#3225	C₂	semidirect
23. C₃₁×#3220	C₂	semidirect
24. C₃₁×#3212	C₂	semidirect
25. C₃₁×#3122	C₂	semidirect
26. C₃₁×#3120	C₂	semidirect
27. C₃₁×#3105	C₂	semidirect
28. C₃₁×#3045	C₂	semidirect
29. C₃₁×#3042	C₂	semidirect
30. C₃₁×#3036	C₂	semidirect
31. C₃₁×#2993	C₂	semidirect
35. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
37. C₂²×SD₁₆×C₃₁	C₂²	semidirect
40. C₃₁×#559	C₂²	semidirect
41. C₃₁×#559	C₂²	semidirect
42. C₃₁×#556	C₂²	semidirect
43. C₃₁×#554	C₂²	semidirect
47. C₃₁×#552	C₂²	semidirect
53. C₃₁×#548	C₂²	semidirect
55. C₃₁×#547	C₂²	semidirect
59. C₃₁×#546	C₂²	semidirect
60. C₃₁×#546	C₂²	semidirect
61. D₄²×C₃₁	C₂²	semidirect
62. C₃₁×#542	C₂²	semidirect
63. C₃₁×#541	C₂²	semidirect
66. C₃₁×#540	C₂²	semidirect
72. C₃₁×#536	C₂²	semidirect
73. C₃₁×#535	C₂²	semidirect
74. C₃₁×#532	C₂²	semidirect
76. C₃₁×#529	C₂²	semidirect
77. C₃₁×#529	C₂²	semidirect
81. C₃₁×#518	C₂²	semidirect
82. C₂×C₄×D₄×C₃₁	C₂²	semidirect
83. C₃₁×#497	C₂²	semidirect
85. C₃₁×#495	C₂²	semidirect
86. C₃₁×#495	C₂²	semidirect
87. C₃₁×#495	C₂²	semidirect
89. C₃₁×#490	C₂²	semidirect
90. C₃₁×#489	C₂²	semidirect
91. C₃₁×#488	C₂²	semidirect
92. C₃₁×#488	C₂²	semidirect
93. C₃₁×#488	C₂²	semidirect
94. C₃₁×#487	C₂²	semidirect
95. C₃₁×#484	C₂²	semidirect
96. C₃₁×#484	C₂²	semidirect
97. C₃₁×#483	C₂²	semidirect
98. C₃₁×#482	C₂²	semidirect
99. C₃₁×#482	C₂²	semidirect
100. C₃₁×#481	C₂²	semidirect
101. C₃₁×#479	C₂²	semidirect
102. C₃₁×#479	C₂²	semidirect
103. C₃₁×#479	C₂²	semidirect
104. C₃₁×#479	C₂²	semidirect
105. C₃₁×#478	C₂²	semidirect
106. C₃₁×#478	C₂²	semidirect
107. C₃₁×#478	C₂²	semidirect
108. C₃₁×#478	C₂²	semidirect
109. C₃₁×#476	C₂²	semidirect
110. C₃₁×#474	C₂²	semidirect
111. C₃₁×#470	C₂²	semidirect
113. C₃₁×#469	C₂²	semidirect
114. C₃₁×#468	C₂²	semidirect
115. C₃₁×#468	C₂²	semidirect
116. C₃₁×#468	C₂²	semidirect
117. C₃₁×#468	C₂²	semidirect
118. C₃₁×#468	C₂²	semidirect
120. C₃₁×#465	C₂²	semidirect
121. C₃₁×#465	C₂²	semidirect
122. C₃₁×#465	C₂²	semidirect
123. C₃₁×#464	C₂²	semidirect
124. C₃₁×#464	C₂²	semidirect
125. C₃₁×#464	C₂²	semidirect
130. C₃₁×#463	C₂²	semidirect
131. C₃₁×#463	C₂²	semidirect
132. C₃₁×#463	C₂²	semidirect
133. C₃₁×#463	C₂²	semidirect
134. C₃₁×#463	C₂²	semidirect
135. C₃₁×#463	C₂²	semidirect
136. C₃₁×#463	C₂²	semidirect
137. C₃₁×#463	C₂²	semidirect
138. C₃₁×#463	C₂²	semidirect
139. C₃₁×#462	C₂²	semidirect
140. C₃₁×#461	C₂²	semidirect
141. C₃₁×#461	C₂²	semidirect
142. C₃₁×#461	C₂²	semidirect
143. C₃₁×#461	C₂²	semidirect
144. C₃₁×#461	C₂²	semidirect
145. C₃₁×#460	C₂²	semidirect
146. C₃₁×#460	C₂²	semidirect
147. C₃₁×#460	C₂²	semidirect
148. C₃₁×#460	C₂²	semidirect
151. C₃₁×#459	C₂²	semidirect
152. C₃₁×#459	C₂²	semidirect
155. C₃₁×#452	C₂²	semidirect
156. C₃₁×#452	C₂²	semidirect
157. C₃₁×#452	C₂²	semidirect
158. C₃₁×#451	C₂²	semidirect
159. C₃₁×#450	C₂²	semidirect
162. C₃₁×#449	C₂²	semidirect
163. C₃₁×#449	C₂²	semidirect
164. C₃₁×#449	C₂²	semidirect
165. C₃₁×#448	C₂²	semidirect
168. C₃₁×#447	C₂²	semidirect
169. C₃₁×#447	C₂²	semidirect
170. C₃₁×#447	C₂²	semidirect
171. C₃₁×#446	C₂²	semidirect
172. C₈×Q₈×C₃₁	C₂²	semidirect
173. C₃₁×#442	C₂²	semidirect
174. C₃₁×#442	C₂²	semidirect
175. C₃₁×#441	C₂²	semidirect
176. C₃₁×#440	C₂²	semidirect
177. C₄×Q₁₆×C₃₁	C₂²	semidirect
178. C₄×SD₁₆×C₃₁	C₂²	semidirect
179. C₄×SD₁₆×C₃₁	C₂²	semidirect
180. C₄×SD₁₆×C₃₁	C₂²	semidirect
183. C₄×D₈×C₃₁	C₂²	semidirect
184. C₄×D₈×C₃₁	C₂²	semidirect
185. C₃₁×#436	C₂²	semidirect
186. C₃₁×#436	C₂²	semidirect
187. C₃₁×#436	C₂²	semidirect
188. C₃₁×#435	C₂²	semidirect
189. C₃₁×#435	C₂²	semidirect
190. C₈×D₄×C₃₁	C₂²	semidirect
191. C₃₁×#433	C₂²	semidirect
192. C₃₁×#433	C₂²	semidirect
193. C₃₁×#431	C₂²	semidirect
194. C₃₁×#424	C₂²	semidirect
195. C₃₁×#424	C₂²	semidirect
196. C₃₁×#423	C₂²	semidirect
197. C₃₁×#419	C₂²	semidirect
198. C₃₁×#417	C₂²	semidirect
199. C₃₁×#417	C₂²	semidirect
200. C₃₁×#417	C₂²	semidirect
201. C₃₁×#416	C₂²	semidirect
202. C₂×C₃₁×#102	C₂²	semidirect
706. #62027	C₃₁	direct (N × H)
829. #3562	C₂×C₃₁	semidirect
830. #3513	C₂×C₃₁	semidirect
831. #3401	C₂×C₃₁	semidirect
832. #3396	C₂×C₃₁	semidirect
833. #3370	C₂×C₃₁	semidirect
834. #3360	C₂×C₃₁	semidirect
835. #3330	C₂×C₃₁	semidirect
836. #3327	C₂×C₃₁	semidirect
837. #3326	C₂×C₃₁	semidirect
838. #3317	C₂×C₃₁	semidirect
839. #3306	C₂×C₃₁	semidirect
840. #3297	C₂×C₃₁	semidirect
841. #3282	C₂×C₃₁	semidirect
842. #3274	C₂×C₃₁	semidirect
843. #3273	C₂×C₃₁	semidirect
844. #3273	C₂×C₃₁	semidirect
845. #3267	C₂×C₃₁	semidirect
846. #3265	C₂×C₃₁	semidirect
847. #3260	C₂×C₃₁	semidirect
848. #3257	C₂×C₃₁	semidirect
849. #3256	C₂×C₃₁	semidirect
850. #3225	C₂×C₃₁	semidirect
851. #3220	C₂×C₃₁	semidirect
852. #3212	C₂×C₃₁	semidirect
853. #3122	C₂×C₃₁	semidirect
854. #3120	C₂×C₃₁	semidirect
855. #3105	C₂×C₃₁	semidirect
856. #3045	C₂×C₃₁	semidirect
857. #3042	C₂×C₃₁	semidirect
858. #3036	C₂×C₃₁	semidirect
859. #2993	C₂×C₃₁	semidirect
917. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
919. C₂²×SD₁₆	C₂²×C₃₁	semidirect
922. #559	C₂²×C₃₁	semidirect
923. #559	C₂²×C₃₁	semidirect
924. #556	C₂²×C₃₁	semidirect
925. #554	C₂²×C₃₁	semidirect
929. #552	C₂²×C₃₁	semidirect
935. #548	C₂²×C₃₁	semidirect
937. #547	C₂²×C₃₁	semidirect
941. #546	C₂²×C₃₁	semidirect
942. #546	C₂²×C₃₁	semidirect
943. D₄²	C₂²×C₃₁	semidirect
944. #542	C₂²×C₃₁	semidirect
945. #541	C₂²×C₃₁	semidirect
948. #540	C₂²×C₃₁	semidirect
954. #536	C₂²×C₃₁	semidirect
955. #535	C₂²×C₃₁	semidirect
956. #532	C₂²×C₃₁	semidirect
958. #529	C₂²×C₃₁	semidirect
959. #529	C₂²×C₃₁	semidirect
963. #518	C₂²×C₃₁	semidirect
964. C₂×C₄×D₄	C₂²×C₃₁	semidirect
965. #497	C₂²×C₃₁	semidirect
967. #495	C₂²×C₃₁	semidirect
968. #495	C₂²×C₃₁	semidirect
969. #495	C₂²×C₃₁	semidirect
971. #490	C₂²×C₃₁	semidirect
972. #489	C₂²×C₃₁	semidirect
973. #488	C₂²×C₃₁	semidirect
974. #488	C₂²×C₃₁	semidirect
975. #488	C₂²×C₃₁	semidirect
976. #487	C₂²×C₃₁	semidirect
977. #484	C₂²×C₃₁	semidirect
978. #484	C₂²×C₃₁	semidirect
979. #483	C₂²×C₃₁	semidirect
980. #482	C₂²×C₃₁	semidirect
981. #482	C₂²×C₃₁	semidirect
982. #481	C₂²×C₃₁	semidirect
983. #479	C₂²×C₃₁	semidirect
984. #479	C₂²×C₃₁	semidirect
985. #479	C₂²×C₃₁	semidirect
986. #479	C₂²×C₃₁	semidirect
987. #478	C₂²×C₃₁	semidirect
988. #478	C₂²×C₃₁	semidirect
989. #478	C₂²×C₃₁	semidirect
990. #478	C₂²×C₃₁	semidirect
991. #476	C₂²×C₃₁	semidirect
992. #474	C₂²×C₃₁	semidirect
993. #470	C₂²×C₃₁	semidirect
995. #469	C₂²×C₃₁	semidirect
996. #468	C₂²×C₃₁	semidirect
997. #468	C₂²×C₃₁	semidirect
998. #468	C₂²×C₃₁	semidirect
999. #468	C₂²×C₃₁	semidirect
1000. #468	C₂²×C₃₁	semidirect
1002. #465	C₂²×C₃₁	semidirect
1003. #465	C₂²×C₃₁	semidirect
1004. #465	C₂²×C₃₁	semidirect
1005. #464	C₂²×C₃₁	semidirect
1006. #464	C₂²×C₃₁	semidirect
1007. #464	C₂²×C₃₁	semidirect
1012. #463	C₂²×C₃₁	semidirect
1013. #463	C₂²×C₃₁	semidirect
1014. #463	C₂²×C₃₁	semidirect
1015. #463	C₂²×C₃₁	semidirect
1016. #463	C₂²×C₃₁	semidirect
1017. #463	C₂²×C₃₁	semidirect
1018. #463	C₂²×C₃₁	semidirect
1019. #463	C₂²×C₃₁	semidirect
1020. #463	C₂²×C₃₁	semidirect
1021. #462	C₂²×C₃₁	semidirect
1022. #461	C₂²×C₃₁	semidirect
1023. #461	C₂²×C₃₁	semidirect
1024. #461	C₂²×C₃₁	semidirect
1025. #461	C₂²×C₃₁	semidirect
1026. #461	C₂²×C₃₁	semidirect
1027. #460	C₂²×C₃₁	semidirect
1028. #460	C₂²×C₃₁	semidirect
1029. #460	C₂²×C₃₁	semidirect
1030. #460	C₂²×C₃₁	semidirect
1033. #459	C₂²×C₃₁	semidirect
1034. #459	C₂²×C₃₁	semidirect
1037. #452	C₂²×C₃₁	semidirect
1038. #452	C₂²×C₃₁	semidirect
1039. #452	C₂²×C₃₁	semidirect
1040. #451	C₂²×C₃₁	semidirect
1041. #450	C₂²×C₃₁	semidirect
1044. #449	C₂²×C₃₁	semidirect
1045. #449	C₂²×C₃₁	semidirect
1046. #449	C₂²×C₃₁	semidirect
1047. #448	C₂²×C₃₁	semidirect
1050. #447	C₂²×C₃₁	semidirect
1051. #447	C₂²×C₃₁	semidirect
1052. #447	C₂²×C₃₁	semidirect
1053. #446	C₂²×C₃₁	semidirect
1054. C₈×Q₈	C₂²×C₃₁	semidirect
1055. #442	C₂²×C₃₁	semidirect
1056. #442	C₂²×C₃₁	semidirect
1057. #441	C₂²×C₃₁	semidirect
1058. #440	C₂²×C₃₁	semidirect
1059. C₄×Q₁₆	C₂²×C₃₁	semidirect
1060. C₄×SD₁₆	C₂²×C₃₁	semidirect
1061. C₄×SD₁₆	C₂²×C₃₁	semidirect
1062. C₄×SD₁₆	C₂²×C₃₁	semidirect
1065. C₄×D₈	C₂²×C₃₁	semidirect
1066. C₄×D₈	C₂²×C₃₁	semidirect
1067. #436	C₂²×C₃₁	semidirect
1068. #436	C₂²×C₃₁	semidirect
1069. #436	C₂²×C₃₁	semidirect
1070. #435	C₂²×C₃₁	semidirect
1071. #435	C₂²×C₃₁	semidirect
1072. C₈×D₄	C₂²×C₃₁	semidirect
1073. #433	C₂²×C₃₁	semidirect
1074. #433	C₂²×C₃₁	semidirect
1075. #431	C₂²×C₃₁	semidirect
1076. #424	C₂²×C₃₁	semidirect
1077. #424	C₂²×C₃₁	semidirect
1078. #423	C₂²×C₃₁	semidirect
1079. #419	C₂²×C₃₁	semidirect
1080. #417	C₂²×C₃₁	semidirect
1081. #417	C₂²×C₃₁	semidirect
1082. #417	C₂²×C₃₁	semidirect
1083. #416	C₂²×C₃₁	semidirect
1084. C₂×#102	C₂²×C₃₁	semidirect
1378. C₃₁	#62027	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×#3562	2
C₃₁×#3513	2
C₃₁×#3401	2
C₃₁×#3396	2
C₃₁×#3370	2
C₃₁×#3360	2
C₃₁×#3330	2
C₃₁×#3327	2
C₃₁×#3326	2
C₃₁×#3317	2
C₃₁×#3306	2
C₃₁×#3297	2
C₃₁×#3282	2
C₃₁×#3274	2
C₃₁×#3273	2
C₃₁×#3267	2
C₃₁×#3265	2
C₃₁×#3260	2
C₃₁×#3257	2
C₃₁×#3256	2
C₃₁×#3225	2
C₃₁×#3220	2
C₃₁×#3212	2
C₃₁×#3122	2
C₃₁×#3120	2
C₃₁×#3105	2
C₃₁×#3045	2
C₃₁×#3042	2
C₃₁×#3036	2
C₃₁×#2993	2
#62027	31

Subgroups — C31×#62027 #21518786

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#62027 #21518786