Subgroups — C₃₁×#62007 #21518766

Order 7936.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3543	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3513	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3403	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3399	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3366	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3318	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3310	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3309	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3306	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3296	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3294	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3280	C₂	1	1	yes	maximal, characteristic, complemented
14	D₄×D₈×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3268	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3264	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3264	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3259	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3257	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3250	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3224	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3220	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3217	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3122	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3114	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#3045	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#3041	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₃₁×#459	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃₁×#2992	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic, complemented
35	C₂²×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
36	C₂²×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
37	C₂²×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
38	C₃₁×#560	—	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×#554	C₂²	1	1	yes	characteristic, complemented
43	C₃₁×#553	—	2	1	no	—
44	C₃₁×#553	C₂²	1	1	yes	characteristic, complemented
45	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
46	C₃₁×#551	—	2	1	no	—
47	C₃₁×#551	—	2	1	no	—
48	C₃₁×#550	C₂²	1	1	yes	characteristic, complemented
49	C₃₁×#550	C₂²	1	1	yes	characteristic, complemented
50	C₃₁×#547	C₂²	1	1	yes	characteristic, complemented
51	C₃₁×#546	—	2	1	no	—
52	C₃₁×#546	—	2	1	no	—
53	C₃₁×#546	C₂²	1	1	yes	characteristic
54	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
55	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
56	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
57	D₄²×C₃₁	—	2	1	no	—
58	D₄²×C₃₁	C₂²	1	1	yes	characteristic
59	D₄²×C₃₁	C₂²	1	1	yes	characteristic, complemented
60	D₄²×C₃₁	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×#540	—	2	1	no	—
64	C₃₁×#540	C₂²	1	1	yes	characteristic, complemented
65	C₃₁×#540	C₂²	1	1	yes	characteristic, complemented
66	C₃₁×#540	C₂²	1	1	yes	characteristic, complemented
67	C₃₁×#539	—	2	1	no	—
68	C₃₁×#538	—	2	1	no	—
69	C₃₁×#535	—	2	1	no	—
70	C₃₁×#535	C₂²	1	1	yes	characteristic, complemented
71	C₃₁×#535	C₂²	1	1	yes	characteristic, complemented
72	C₃₁×#534	—	2	1	no	—
73	C₃₁×#534	—	2	1	no	—
74	C₂×C₃₁×#127	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, complemented
81	C₃₁×#518	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
83	C₃₁×#496	C₂²	1	1	yes	characteristic, complemented
84	C₃₁×#496	C₂²	1	1	yes	characteristic, complemented
85	C₃₁×#496	C₂²	1	1	yes	characteristic, complemented
86	C₃₁×#496	C₂²	1	1	yes	characteristic, complemented
87	C₃₁×#495	C₂²	1	1	yes	characteristic, complemented
88	C₃₁×#493	C₂²	1	1	yes	characteristic, complemented
89	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
90	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
91	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
92	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
93	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
94	C₃₁×#486	C₂²	1	1	yes	characteristic, complemented
95	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
96	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
97	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
98	C₃₁×#481	C₂²	1	1	yes	characteristic, complemented
99	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
100	C₃₁×#480	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×#478	C₂²	1	1	yes	characteristic, complemented
104	C₃₁×#478	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×#469	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
113	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
114	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
115	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
116	C₃₁×#466	C₂²	1	1	yes	characteristic
117	C₃₁×#466	C₂²	1	1	yes	characteristic, complemented
118	C₃₁×#466	C₂²	1	1	yes	characteristic, complemented
119	C₃₁×#466	C₂²	1	1	yes	characteristic, complemented
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, complemented
127	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
128	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
129	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
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×#460	C₂²	1	1	yes	characteristic, complemented
136	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
137	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
138	C₃₁×#459	C₂²	1	1	yes	characteristic
139	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
140	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
141	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
142	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
143	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
144	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
145	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
146	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
147	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
148	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
149	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
150	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
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, complemented
154	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
155	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
156	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
157	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
158	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
159	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
160	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
161	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
162	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
163	C₃₁×#447	C₂²	1	1	yes	characteristic
164	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
165	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
166	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
167	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
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	C₃₁×#446	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×#442	C₂²	1	1	yes	characteristic, complemented
176	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
177	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
178	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
179	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
180	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
182	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
183	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
185	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
186	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
187	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
188	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
189	C₈×D₄×C₃₁	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×#432	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	C₂×C₃₁×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	C₃₁×#418	C₂²	1	1	yes	characteristic, complemented
198	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
199	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₃₁×#102	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₃₁×#102	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	—	2	1	no	—
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	C₂²×D₄×C₃₁	—	2	1	no	—
209	C₂²×D₄×C₃₁	—	2	1	no	—
210	C₂²×D₄×C₃₁	—	2	1	no	—
211	C₂²×D₄×C₃₁	—	2	1	no	—
212	C₂²×D₄×C₃₁	—	2	1	no	—
213	C₂²×D₄×C₃₁	—	2	1	no	—
214	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
215	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
216	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
217	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
218	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
219	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
220	C₂³×C₄×C₃₁	—	2	1	no	—
221	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
222	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
223	C₃₁×#135	—	4	2	no	—
224	C₂×Q₁₆×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×D₈×C₃₁	—	4	2	no	—
234	C₂×D₈×C₃₁	—	4	2	no	—
235	C₂×D₈×C₃₁	—	4	2	no	—
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×D₈×C₃₁	C₂³	1	1	yes	characteristic
246	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
247	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
248	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
249	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
250	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
251	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
252	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
253	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
254	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
255	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
256	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
257	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
258	C₃₁×#127	—	2	1	no	—
259	C₃₁×#127	—	2	1	no	—
260	C₃₁×#127	—	2	1	no	—
261	C₃₁×#127	C₂³	1	1	yes	characteristic
262	C₃₁×#127	C₂³	1	1	yes	characteristic
263	C₃₁×#127	C₂³	1	1	yes	characteristic
264	C₃₁×#127	C₂³	1	1	yes	characteristic
265	C₃₁×#127	C₂³	1	1	yes	characteristic
266	C₃₁×#127	C₂³	1	1	yes	characteristic
267	C₃₁×#127	C₂³	1	1	yes	characteristic
268	C₃₁×#126	—	2	1	no	—
269	C₃₁×#126	—	2	1	no	—
270	C₃₁×#126	—	2	1	no	—
271	C₃₁×#126	—	2	1	no	—
272	C₃₁×#126	—	2	1	no	—
273	C₃₁×#126	D₄	1	1	yes	characteristic
274	C₃₁×#126	D₄	1	1	yes	characteristic
275	C₃₁×#125	—	2	1	no	—
276	C₃₁×#125	D₄	1	1	yes	characteristic
277	C₃₁×#125	C₂³	1	1	yes	characteristic
278	C₃₁×#125	C₂³	1	1	yes	characteristic
279	C₃₁×#125	C₂³	1	1	yes	characteristic
280	C₃₁×#124	—	2	1	no	—
281	C₃₁×#124	—	2	1	no	—
282	C₃₁×#124	—	2	1	no	—
283	C₃₁×#124	D₄	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	D₄	1	1	yes	characteristic
311	C₃₁×#123	D₄	1	1	yes	characteristic
312	C₃₁×C₂²⋊Q₈	—	2	1	no	—
313	C₃₁×C₂²⋊Q₈	—	2	1	no	—
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	D₄	1	1	yes	characteristic
318	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
319	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
320	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
321	C₃₁×#121	—	2	1	no	—
322	C₃₁×#121	—	2	1	no	—
323	C₃₁×#121	—	2	1	no	—
324	C₃₁×#121	—	2	1	no	—
325	C₃₁×#121	—	2	1	no	—
326	C₃₁×#121	—	2	1	no	—
327	C₃₁×#121	—	2	1	no	—
328	C₃₁×#121	—	2	1	no	—
329	C₃₁×#121	—	2	1	no	—
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	D₄	1	1	yes	characteristic
346	C₃₁×#121	C₂³	1	1	yes	characteristic
347	C₃₁×#121	C₂³	1	1	yes	characteristic
348	C₃₁×#121	C₂³	1	1	yes	characteristic
349	C₃₁×#121	C₂³	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×#120	—	2	1	no	—
356	C₃₁×#120	—	2	1	no	—
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	C₃₁×#120	—	2	1	no	—
366	C₃₁×#120	—	2	1	no	—
367	C₃₁×#120	—	2	1	no	—
368	C₃₁×#120	—	2	1	no	—
369	C₃₁×#120	—	2	1	no	—
370	C₃₁×#120	—	2	1	no	—
371	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
372	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
373	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
374	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
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	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
402	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
403	C₃₁×#117	—	2	1	no	—
404	C₃₁×#117	—	2	1	no	—
405	C₃₁×#117	—	2	1	no	—
406	C₃₁×#117	—	2	1	no	—
407	C₃₁×#117	C₂³	1	1	yes	characteristic
408	C₃₁×#117	C₂³	1	1	yes	characteristic
409	C₃₁×#117	C₂³	1	1	yes	characteristic
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×#102	C₂³	1	1	yes	characteristic
447	C₃₁×#102	C₂³	1	1	yes	characteristic
448	C₃₁×#102	C₂³	1	1	yes	characteristic
449	C₃₁×#102	C₂³	1	1	yes	characteristic
450	C₃₁×#102	C₂³	1	1	yes	characteristic
451	C₃₁×#102	C₂³	1	1	yes	characteristic
452	C₃₁×#102	C₂³	1	1	yes	characteristic
453	C₃₁×#102	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	C₃₁×#97	C₂³	1	1	yes	characteristic
481	C₃₁×#97	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	C₂⁴×C₃₁	—	2	1	no	—
488	C₂⁴×C₃₁	—	2	1	no	—
489	C₂⁴×C₃₁	—	2	1	no	—
490	#41×C₃₁	—	2	2	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	—	8	2	no	—
497	#41×C₃₁	—	8	2	no	—
498	C₂×Q₈×C₃₁	—	2	1	no	—
499	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
500	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
502	C₂×D₄×C₃₁	—	2	2	no	—
503	C₂×D₄×C₃₁	—	2	2	no	—
504	C₂×D₄×C₃₁	—	2	1	no	—
505	C₂×D₄×C₃₁	—	2	1	no	—
506	C₂×D₄×C₃₁	—	2	1	no	—
507	C₂×D₄×C₃₁	—	2	1	no	—
508	C₂×D₄×C₃₁	—	2	1	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	—	2	1	no	—
531	C₂×D₄×C₃₁	—	2	1	no	—
532	C₂×D₄×C₃₁	—	2	1	no	—
533	C₂×D₄×C₃₁	—	2	1	no	—
534	C₂×D₄×C₃₁	—	2	1	no	—
535	C₂×D₄×C₃₁	—	2	1	no	—
536	C₂×D₄×C₃₁	—	4	1	no	—
537	C₂×D₄×C₃₁	—	4	1	no	—
538	C₂×D₄×C₃₁	—	4	1	no	—
539	C₂×D₄×C₃₁	—	4	1	no	—
540	C₂×D₄×C₃₁	—	4	1	no	—
541	C₂×D₄×C₃₁	—	4	1	no	—
542	C₂×D₄×C₃₁	—	4	1	no	—
543	C₂×D₄×C₃₁	—	4	1	no	—
544	C₂×D₄×C₃₁	—	4	1	no	—
545	C₂×D₄×C₃₁	—	4	1	no	—
546	C₂×D₄×C₃₁	—	8	2	no	—
547	C₂×D₄×C₃₁	—	8	2	no	—
548	C₂×D₄×C₃₁	—	8	2	no	—
549	C₂×D₄×C₃₁	—	8	2	no	—
550	C₂×D₄×C₃₁	—	8	2	no	—
551	C₂×D₄×C₃₁	—	8	2	no	—
552	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
553	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
554	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
555	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
556	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
557	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
558	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
559	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
560	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
561	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
562	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₃₁	—	2	1	no	—
564	C₂²×C₄×C₃₁	—	2	1	no	—
565	C₂²×C₄×C₃₁	—	2	1	no	—
566	C₂²×C₄×C₃₁	—	2	1	no	—
567	C₂²×C₄×C₃₁	—	2	1	no	—
568	C₂²×C₄×C₃₁	—	2	1	no	—
569	C₂²×C₄×C₃₁	—	2	1	no	—
570	C₂²×C₄×C₃₁	—	2	1	no	—
571	C₂²×C₄×C₃₁	—	2	1	no	—
572	C₂²×C₄×C₃₁	—	2	1	no	—
573	C₂²×C₄×C₃₁	—	2	1	no	—
574	C₂²×C₄×C₃₁	—	2	1	no	—
575	C₂²×C₄×C₃₁	—	2	1	no	—
576	C₂²×C₄×C₃₁	—	2	1	no	—
577	C₂²×C₄×C₃₁	—	2	1	no	—
578	C₂²×C₄×C₃₁	—	2	1	no	—
579	C₂²×C₄×C₃₁	—	2	1	no	—
580	C₂²×C₄×C₃₁	—	2	1	no	—
581	C₂²×C₄×C₃₁	—	8	2	no	—
582	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
583	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
584	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
585	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
586	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
587	Q₁₆×C₃₁	—	4	1	no	—
588	SD₁₆×C₃₁	—	2	2	no	—
589	SD₁₆×C₃₁	—	4	1	no	—
590	SD₁₆×C₃₁	—	4	1	no	—
591	SD₁₆×C₃₁	—	4	1	no	—
592	SD₁₆×C₃₁	—	4	1	no	—
593	SD₁₆×C₃₁	—	4	1	no	—
594	SD₁₆×C₃₁	—	4	1	no	—
595	SD₁₆×C₃₁	—	4	1	no	—
596	D₈×C₃₁	—	2	2	no	—
597	D₈×C₃₁	—	2	2	no	—
598	D₈×C₃₁	—	2	2	no	—
599	D₈×C₃₁	—	2	2	no	—
600	D₈×C₃₁	—	2	2	no	—
601	D₈×C₃₁	—	4	1	no	—
602	D₈×C₃₁	—	4	1	no	—
603	D₈×C₃₁	—	4	1	no	—
604	D₈×C₃₁	—	4	1	no	—
605	D₈×C₃₁	—	4	1	no	—
606	D₈×C₃₁	—	4	1	no	—
607	D₈×C₃₁	—	4	1	no	—
608	D₈×C₃₁	—	4	1	no	—
609	D₈×C₃₁	—	4	1	no	—
610	D₈×C₃₁	—	4	1	no	—
611	M₁₆×C₃₁	—	4	1	no	—
612	M₁₆×C₃₁	—	4	1	no	—
613	C₂×C₈×C₃₁	—	4	1	no	—
614	C₂×C₈×C₃₁	—	4	1	no	—
615	C₂×C₈×C₃₁	—	4	1	no	—
616	C₂×C₈×C₃₁	—	4	1	no	—
617	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
618	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
619	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
620	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
621	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
622	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
623	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
624	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
631	C₄⋊C₄×C₃₁	—	2	1	no	—
632	C₄⋊C₄×C₃₁	—	2	1	no	—
633	C₄⋊C₄×C₃₁	—	2	1	no	—
634	C₄⋊C₄×C₃₁	—	2	1	no	—
635	C₄⋊C₄×C₃₁	—	2	1	no	—
636	C₄⋊C₄×C₃₁	—	2	1	no	—
637	C₄⋊C₄×C₃₁	—	2	1	no	—
638	C₄⋊C₄×C₃₁	—	2	1	no	—
639	C₄⋊C₄×C₃₁	—	2	1	no	—
640	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
641	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
642	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
643	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
644	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
645	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
646	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
647	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
648	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
649	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
650	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
651	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
652	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
653	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
654	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
655	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
685	C₂²⋊C₄×C₃₁	—	2	1	no	—
686	C₂²⋊C₄×C₃₁	—	2	1	no	—
687	C₂²⋊C₄×C₃₁	—	2	1	no	—
688	C₂²⋊C₄×C₃₁	—	2	1	no	—
689	C₂²⋊C₄×C₃₁	—	2	1	no	—
690	C₂²⋊C₄×C₃₁	—	2	1	no	—
691	C₂²⋊C₄×C₃₁	—	2	1	no	—
692	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
693	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
694	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
695	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
696	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
697	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
698	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
699	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
700	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
701	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
702	C₄²×C₃₁	—	2	1	no	—
703	C₄²×C₃₁	—	2	1	no	—
704	C₄²×C₃₁	—	2	1	no	—
705	C₄²×C₃₁	—	2	1	no	—
706	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
707	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
708	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
709	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
710	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
711	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
712	#62007	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
713	C₂³×C₃₁	—	2	1	no	—
714	C₂³×C₃₁	—	2	1	no	—
715	C₂³×C₃₁	—	2	1	no	—
716	C₂³×C₃₁	—	2	1	no	—
717	C₂³×C₃₁	—	2	1	no	—
718	C₂³×C₃₁	—	2	1	no	—
719	C₂³×C₃₁	—	2	1	no	—
720	C₂³×C₃₁	—	2	1	no	—
721	C₂³×C₃₁	—	4	2	no	—
722	C₂³×C₃₁	—	4	2	no	—
723	C₂³×C₃₁	—	4	2	no	—
724	C₂³×C₃₁	—	4	2	no	—
725	C₂³×C₃₁	—	4	2	no	—
726	C₂³×C₃₁	—	8	1	no	—
727	C₂³×C₃₁	—	8	1	no	—
728	C₂³×C₃₁	—	8	1	no	—
729	C₂³×C₃₁	—	8	1	no	—
730	C₂³×C₃₁	—	8	1	no	—
731	C₂³×C₃₁	—	8	1	no	—
732	C₂³×C₃₁	—	8	1	no	—
733	C₂³×C₃₁	—	8	1	no	—
734	C₂³×C₃₁	—	8	1	no	—
735	C₂³×C₃₁	—	8	1	no	—
736	C₂³×C₃₁	—	8	1	no	—
737	C₂³×C₃₁	—	8	1	no	—
738	C₂³×C₃₁	—	8	1	no	—
739	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
740	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
741	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
742	Q₈×C₃₁	—	2	1	no	—
743	Q₈×C₃₁	—	2	1	no	—
744	Q₈×C₃₁	—	2	1	no	—
745	Q₈×C₃₁	—	2	1	no	—
746	Q₈×C₃₁	—	4	1	no	—
747	Q₈×C₃₁	—	8	1	no	—
748	D₄×C₃₁	—	2	2	no	—
749	D₄×C₃₁	—	2	2	no	—
750	D₄×C₃₁	—	2	1	no	—
751	D₄×C₃₁	—	2	1	no	—
752	D₄×C₃₁	—	2	1	no	—
753	D₄×C₃₁	—	2	1	no	—
754	D₄×C₃₁	—	2	1	no	—
755	D₄×C₃₁	—	2	1	no	—
756	D₄×C₃₁	—	2	1	no	—
757	D₄×C₃₁	—	2	1	no	—
758	D₄×C₃₁	—	2	1	no	—
759	D₄×C₃₁	—	2	1	no	—
760	D₄×C₃₁	—	2	1	no	—
761	D₄×C₃₁	—	2	1	no	—
762	D₄×C₃₁	—	2	1	no	—
763	D₄×C₃₁	—	2	1	no	—
764	D₄×C₃₁	—	2	1	no	—
765	D₄×C₃₁	—	4	1	no	—
766	D₄×C₃₁	—	4	2	no	—
767	D₄×C₃₁	—	4	2	no	—
768	D₄×C₃₁	—	4	2	no	—
769	D₄×C₃₁	—	4	2	no	—
770	D₄×C₃₁	—	4	2	no	—
771	D₄×C₃₁	—	4	2	no	—
772	D₄×C₃₁	—	4	2	no	—
773	D₄×C₃₁	—	8	1	no	—
774	D₄×C₃₁	—	8	1	no	—
775	D₄×C₃₁	—	8	1	no	—
776	D₄×C₃₁	—	8	1	no	—
777	D₄×C₃₁	—	8	1	no	—
778	D₄×C₃₁	—	8	1	no	—
779	D₄×C₃₁	—	8	1	no	—
780	D₄×C₃₁	—	8	1	no	—
781	D₄×C₃₁	—	8	1	no	—
782	D₄×C₃₁	—	8	1	no	—
783	D₄×C₃₁	—	8	1	no	—
784	D₄×C₃₁	—	8	1	no	—
785	D₄×C₃₁	—	8	1	no	—
786	D₄×C₃₁	—	8	1	no	—
787	D₄×C₃₁	—	8	1	no	—
788	D₄×C₃₁	—	8	1	no	—
789	D₄×C₃₁	—	8	1	no	—
790	D₄×C₃₁	—	8	1	no	—
791	D₄×C₃₁	—	8	1	no	—
792	D₄×C₃₁	—	8	1	no	—
793	D₄×C₃₁	—	8	1	no	—
794	D₄×C₃₁	—	8	1	no	—
795	D₄×C₃₁	—	8	1	no	—
796	D₄×C₃₁	—	8	1	no	—
797	D₄×C₃₁	—	8	1	no	—
798	D₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
799	C₂×C₄×C₃₁	—	2	2	no	—
800	C₂×C₄×C₃₁	—	2	1	no	—
801	C₂×C₄×C₃₁	—	2	1	no	—
802	C₂×C₄×C₃₁	—	2	1	no	—
803	C₂×C₄×C₃₁	—	2	1	no	—
804	C₂×C₄×C₃₁	—	2	1	no	—
805	C₂×C₄×C₃₁	—	2	1	no	—
806	C₂×C₄×C₃₁	—	2	1	no	—
807	C₂×C₄×C₃₁	—	2	1	no	—
808	C₂×C₄×C₃₁	—	2	1	no	—
809	C₂×C₄×C₃₁	—	2	1	no	—
810	C₂×C₄×C₃₁	—	2	1	no	—
811	C₂×C₄×C₃₁	—	2	1	no	—
812	C₂×C₄×C₃₁	—	2	1	no	—
813	C₂×C₄×C₃₁	—	2	1	no	—
814	C₂×C₄×C₃₁	—	4	1	no	—
815	C₂×C₄×C₃₁	—	4	2	no	—
816	C₂×C₄×C₃₁	—	4	2	no	—
817	C₂×C₄×C₃₁	—	4	2	no	—
818	C₂×C₄×C₃₁	—	8	1	no	—
819	C₂×C₄×C₃₁	—	8	1	no	—
820	C₂×C₄×C₃₁	—	8	1	no	—
821	C₂×C₄×C₃₁	—	8	1	no	—
822	C₂×C₄×C₃₁	—	8	1	no	—
823	C₂×C₄×C₃₁	—	8	1	no	—
824	C₂×C₄×C₃₁	—	8	1	no	—
825	C₂×C₄×C₃₁	—	8	1	no	—
826	C₂×C₄×C₃₁	—	8	1	no	—
827	C₂×C₄×C₃₁	—	8	1	no	—
828	C₂×C₄×C₃₁	—	8	1	no	—
829	C₂×C₄×C₃₁	—	8	1	no	—
830	C₂×C₄×C₃₁	—	8	1	no	—
831	C₂×C₄×C₃₁	—	8	1	no	—
832	C₂×C₄×C₃₁	—	8	1	no	—
833	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
834	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
835	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
836	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
837	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
838	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
839	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
840	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
841	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
842	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
843	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
844	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
845	C₈×C₃₁	—	2	1	no	—
846	C₈×C₃₁	—	2	1	no	—
847	C₈×C₃₁	—	2	1	no	—
848	C₈×C₃₁	—	2	1	no	—
849	C₈×C₃₁	—	2	1	no	—
850	C₈×C₃₁	—	2	1	no	—
851	C₈×C₃₁	—	2	1	no	—
852	C₈×C₃₁	—	2	1	no	—
853	#3543	C₂×C₃₁	1	1	yes	characteristic, complemented
854	#3513	C₂×C₃₁	1	1	yes	characteristic, complemented
855	#3403	C₂×C₃₁	1	1	yes	characteristic, complemented
856	#3399	C₂×C₃₁	1	1	yes	characteristic, complemented
857	#3370	C₂×C₃₁	1	1	yes	characteristic, complemented
858	#3366	C₂×C₃₁	1	1	yes	characteristic, complemented
859	#3318	C₂×C₃₁	1	1	yes	characteristic, complemented
860	#3310	C₂×C₃₁	1	1	yes	characteristic, complemented
861	#3309	C₂×C₃₁	1	1	yes	characteristic, complemented
862	#3306	C₂×C₃₁	1	1	yes	characteristic, complemented
863	#3296	C₂×C₃₁	1	1	yes	characteristic, complemented
864	#3294	C₂×C₃₁	1	1	yes	characteristic, complemented
865	#3280	C₂×C₃₁	1	1	yes	characteristic, complemented
866	D₄×D₈	C₂×C₃₁	1	1	yes	characteristic, complemented
867	#3268	C₂×C₃₁	1	1	yes	characteristic, complemented
868	#3264	C₂×C₃₁	1	1	yes	characteristic, complemented
869	#3264	C₂×C₃₁	1	1	yes	characteristic, complemented
870	#3264	C₂×C₃₁	1	1	yes	characteristic, complemented
871	#3259	C₂×C₃₁	1	1	yes	characteristic, complemented
872	#3257	C₂×C₃₁	1	1	yes	characteristic, complemented
873	#3250	C₂×C₃₁	1	1	yes	characteristic, complemented
874	#3224	C₂×C₃₁	1	1	yes	characteristic, complemented
875	#3220	C₂×C₃₁	1	1	yes	characteristic, complemented
876	#3217	C₂×C₃₁	1	1	yes	characteristic, complemented
877	#3122	C₂×C₃₁	1	1	yes	characteristic, complemented
878	#3119	C₂×C₃₁	1	1	yes	characteristic, complemented
879	#3114	C₂×C₃₁	1	1	yes	characteristic, complemented
880	#3045	C₂×C₃₁	1	1	yes	characteristic, complemented
881	#3041	C₂×C₃₁	1	1	yes	characteristic, complemented
882	C₂×#459	C₂×C₃₁	1	1	yes	characteristic, complemented
883	#2992	C₂×C₃₁	1	1	yes	characteristic, complemented
884	C₂²×C₃₁	—	2	1	no	—
885	C₂²×C₃₁	—	2	1	no	—
886	C₂²×C₃₁	—	2	1	no	—
887	C₂²×C₃₁	—	2	1	no	—
888	C₂²×C₃₁	—	2	1	no	—
889	C₂²×C₃₁	—	2	1	no	—
890	C₂²×C₃₁	—	2	2	no	—
891	C₂²×C₃₁	—	2	1	no	—
892	C₂²×C₃₁	—	2	1	no	—
893	C₂²×C₃₁	—	4	1	no	—
894	C₂²×C₃₁	—	4	1	no	—
895	C₂²×C₃₁	—	4	1	no	—
896	C₂²×C₃₁	—	4	1	no	—
897	C₂²×C₃₁	—	4	1	no	—
898	C₂²×C₃₁	—	4	1	no	—
899	C₂²×C₃₁	—	4	1	no	—
900	C₂²×C₃₁	—	4	1	no	—
901	C₂²×C₃₁	—	4	1	no	—
902	C₂²×C₃₁	—	4	1	no	—
903	C₂²×C₃₁	—	4	1	no	—
904	C₂²×C₃₁	—	4	1	no	—
905	C₂²×C₃₁	—	4	1	no	—
906	C₂²×C₃₁	—	4	1	no	—
907	C₂²×C₃₁	—	4	1	no	—
908	C₂²×C₃₁	—	4	1	no	—
909	C₂²×C₃₁	—	4	1	no	—
910	C₂²×C₃₁	—	4	1	no	—
911	C₂²×C₃₁	—	4	1	no	—
912	C₂²×C₃₁	—	4	1	no	—
913	C₂²×C₃₁	—	4	1	no	—
914	C₂²×C₃₁	—	4	1	no	—
915	C₂²×C₃₁	—	4	1	no	—
916	C₂²×C₃₁	—	8	4	no	—
917	C₂²×C₃₁	—	16	2	no	—
918	C₂²×C₃₁	—	16	2	no	—
919	C₂²×C₃₁	—	16	2	no	—
920	C₂²×C₃₁	—	16	2	no	—
921	C₂²×C₃₁	—	16	2	no	—
922	C₂²×C₃₁	#576	1	2	yes	—
923	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
924	C₄×C₃₁	—	2	1	no	—
925	C₄×C₃₁	—	2	1	no	—
926	C₄×C₃₁	—	2	1	no	—
927	C₄×C₃₁	—	2	1	no	—
928	C₄×C₃₁	—	2	1	no	—
929	C₄×C₃₁	—	2	1	no	—
930	C₄×C₃₁	—	2	1	no	—
931	C₄×C₃₁	—	2	1	no	—
932	C₄×C₃₁	—	2	1	no	—
933	C₄×C₃₁	—	2	1	no	—
934	C₄×C₃₁	—	2	1	no	—
935	C₄×C₃₁	—	4	1	no	—
936	C₄×C₃₁	—	4	1	no	—
937	C₄×C₃₁	—	4	1	no	—
938	C₄×C₃₁	—	4	1	no	—
939	C₄×C₃₁	—	4	1	no	—
940	C₄×C₃₁	—	4	1	no	—
941	C₄×C₃₁	—	4	1	no	—
942	C₄×C₃₁	—	4	1	no	—
943	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
944	C₄×C₃₁	#585	1	1	yes	characteristic
945	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
946	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
947	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic, complemented
948	C₂²×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
949	C₂²×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
950	C₂²×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
951	#560	—	2	1	no	—
952	#560	—	2	1	no	—
953	#559	C₂²×C₃₁	1	1	yes	characteristic, complemented
954	#559	C₂²×C₃₁	1	1	yes	characteristic, complemented
955	#554	C₂²×C₃₁	1	1	yes	characteristic, complemented
956	#553	—	2	1	no	—
957	#553	C₂²×C₃₁	1	1	yes	characteristic, complemented
958	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
959	#551	—	2	1	no	—
960	#551	—	2	1	no	—
961	#550	C₂²×C₃₁	1	1	yes	characteristic, complemented
962	#550	C₂²×C₃₁	1	1	yes	characteristic, complemented
963	#547	C₂²×C₃₁	1	1	yes	characteristic, complemented
964	#546	—	2	1	no	—
965	#546	—	2	1	no	—
966	#546	C₂²×C₃₁	1	1	yes	characteristic
967	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
968	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
969	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
970	D₄²	—	2	1	no	—
971	D₄²	C₂²×C₃₁	1	1	yes	characteristic
972	D₄²	C₂²×C₃₁	1	1	yes	characteristic, complemented
973	D₄²	C₂²×C₃₁	1	1	yes	characteristic, complemented
974	D₄²	C₂²×C₃₁	1	1	yes	characteristic, complemented
975	#542	C₂²×C₃₁	1	1	yes	characteristic, complemented
976	#540	—	2	1	no	—
977	#540	C₂²×C₃₁	1	1	yes	characteristic, complemented
978	#540	C₂²×C₃₁	1	1	yes	characteristic, complemented
979	#540	C₂²×C₃₁	1	1	yes	characteristic, complemented
980	#539	—	2	1	no	—
981	#538	—	2	1	no	—
982	#535	—	2	1	no	—
983	#535	C₂²×C₃₁	1	1	yes	characteristic, complemented
984	#535	C₂²×C₃₁	1	1	yes	characteristic, complemented
985	#534	—	2	1	no	—
986	#534	—	2	1	no	—
987	C₂×#127	C₂²×C₃₁	1	1	yes	characteristic, complemented
988	#529	C₂²×C₃₁	1	1	yes	characteristic
989	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
990	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
991	#525	—	2	1	no	—
992	C₂×#123	—	2	1	no	—
993	#520	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	#518	C₂²×C₃₁	1	1	yes	characteristic, complemented
995	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
996	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
997	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
998	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
999	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
1000	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
1001	#493	C₂²×C₃₁	1	1	yes	characteristic, complemented
1002	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
1003	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
1004	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
1005	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
1006	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
1007	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
1008	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
1009	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1010	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1011	#481	C₂²×C₃₁	1	1	yes	characteristic, complemented
1012	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
1013	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
1014	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
1015	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
1016	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
1017	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
1018	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
1019	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
1020	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
1021	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
1022	#476	C₂²×C₃₁	1	1	yes	characteristic, complemented
1023	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
1027	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1028	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
1029	#466	C₂²×C₃₁	1	1	yes	characteristic
1030	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1031	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1032	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1033	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1034	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1035	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1036	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1037	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1038	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1039	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1040	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1041	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1042	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1043	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1044	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1045	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1046	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1048	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1049	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1050	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1051	#459	C₂²×C₃₁	1	1	yes	characteristic
1052	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1053	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1054	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1055	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1056	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1057	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1058	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1059	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1060	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1061	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1062	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1063	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1064	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1065	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1066	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1067	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1068	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1069	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1070	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1071	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1072	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1073	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1074	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1075	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1076	#447	C₂²×C₃₁	1	1	yes	characteristic
1077	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1078	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1079	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1080	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1081	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1082	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1083	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1084	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1085	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1086	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1087	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1088	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1089	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1090	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1091	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1092	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1093	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1094	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1095	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1096	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1097	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1098	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1099	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1100	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1101	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1102	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1103	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1104	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1105	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1106	#432	C₂²×C₃₁	1	1	yes	characteristic, complemented
1107	#424	C₂²×C₃₁	1	1	yes	characteristic, complemented
1108	#424	C₂²×C₃₁	1	1	yes	characteristic, complemented
1109	C₂×C₄⋊C₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1110	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1111	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1112	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1113	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1114	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1115	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1116	C₂×C₃₁	—	2	2	no	—
1117	C₂×C₃₁	—	4	1	no	—
1118	C₂×C₃₁	—	4	1	no	—
1119	C₂×C₃₁	—	4	2	no	—
1120	C₂×C₃₁	—	8	1	no	—
1121	C₂×C₃₁	—	8	1	no	—
1122	C₂×C₃₁	—	8	1	no	—
1123	C₂×C₃₁	—	8	1	no	—
1124	C₂×C₃₁	—	8	1	no	—
1125	C₂×C₃₁	—	8	1	no	—
1126	C₂×C₃₁	—	8	1	no	—
1127	C₂×C₃₁	#3488	1	1	yes	characteristic
1128	C₂×C₃₁	C₂×#576	1	1	yes	characteristic
1129	C₂×C₃₁	#3585	1	1	yes	characteristic
1130	C₂×#41	—	2	1	no	—
1131	C₂×#41	—	2	1	no	—
1132	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1133	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1134	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1135	C₂²×D₄	—	2	1	no	—
1136	C₂²×D₄	—	2	1	no	—
1137	C₂²×D₄	—	2	1	no	—
1138	C₂²×D₄	—	2	1	no	—
1139	C₂²×D₄	—	2	1	no	—
1140	C₂²×D₄	—	2	1	no	—
1141	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1142	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1143	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1144	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1145	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1146	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1147	C₂³×C₄	—	2	1	no	—
1148	AGL(1,ℤ/8)	—	4	2	no	—
1149	AGL(1,ℤ/8)	—	4	2	no	—
1150	#135	—	4	2	no	—
1151	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1152	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1153	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1154	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1155	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1156	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1157	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1158	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1159	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1160	C₂×D₈	—	4	2	no	—
1161	C₂×D₈	—	4	2	no	—
1162	C₂×D₈	—	4	2	no	—
1163	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1164	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1165	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1166	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1167	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1168	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1169	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1170	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1171	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1172	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1173	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1174	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1175	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1176	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1177	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1178	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1179	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1180	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1181	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1182	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1183	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1184	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1185	#127	—	2	1	no	—
1186	#127	—	2	1	no	—
1187	#127	—	2	1	no	—
1188	#127	C₂³×C₃₁	1	1	yes	characteristic
1189	#127	C₂³×C₃₁	1	1	yes	characteristic
1190	#127	C₂³×C₃₁	1	1	yes	characteristic
1191	#127	C₂³×C₃₁	1	1	yes	characteristic
1192	#127	C₂³×C₃₁	1	1	yes	characteristic
1193	#127	C₂³×C₃₁	1	1	yes	characteristic
1194	#127	C₂³×C₃₁	1	1	yes	characteristic
1195	#126	—	2	1	no	—
1196	#126	—	2	1	no	—
1197	#126	—	2	1	no	—
1198	#126	—	2	1	no	—
1199	#126	—	2	1	no	—
1200	#126	D₄×C₃₁	1	1	yes	characteristic
1201	#126	D₄×C₃₁	1	1	yes	characteristic
1202	#125	—	2	1	no	—
1203	#125	D₄×C₃₁	1	1	yes	characteristic
1204	#125	C₂³×C₃₁	1	1	yes	characteristic
1205	#125	C₂³×C₃₁	1	1	yes	characteristic
1206	#125	C₂³×C₃₁	1	1	yes	characteristic
1207	#124	—	2	1	no	—
1208	#124	—	2	1	no	—
1209	#124	—	2	1	no	—
1210	#124	D₄×C₃₁	1	1	yes	characteristic
1211	#124	C₂³×C₃₁	1	1	yes	characteristic
1212	#124	C₂³×C₃₁	1	1	yes	characteristic
1213	#124	C₂³×C₃₁	1	1	yes	characteristic
1214	#124	C₂³×C₃₁	1	1	yes	characteristic
1215	#124	C₂³×C₃₁	1	1	yes	characteristic
1216	#123	—	2	1	no	—
1217	#123	—	2	1	no	—
1218	#123	—	2	1	no	—
1219	#123	—	2	1	no	—
1220	#123	—	2	1	no	—
1221	#123	—	2	1	no	—
1222	#123	—	2	1	no	—
1223	#123	—	2	1	no	—
1224	#123	—	2	1	no	—
1225	#123	—	2	1	no	—
1226	#123	—	2	1	no	—
1227	#123	—	2	1	no	—
1228	#123	—	2	1	no	—
1229	#123	—	2	1	no	—
1230	#123	—	2	1	no	—
1231	#123	—	2	1	no	—
1232	#123	—	2	1	no	—
1233	#123	—	2	1	no	—
1234	#123	—	2	1	no	—
1235	#123	—	2	1	no	—
1236	#123	—	2	1	no	—
1237	#123	D₄×C₃₁	1	1	yes	characteristic
1238	#123	D₄×C₃₁	1	1	yes	characteristic
1239	C₂²⋊Q₈	—	2	1	no	—
1240	C₂²⋊Q₈	—	2	1	no	—
1241	C₂²⋊Q₈	—	2	1	no	—
1242	C₂²⋊Q₈	—	2	1	no	—
1243	C₂²⋊Q₈	—	2	1	no	—
1244	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1245	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1246	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1247	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1248	#121	—	2	1	no	—
1249	#121	—	2	1	no	—
1250	#121	—	2	1	no	—
1251	#121	—	2	1	no	—
1252	#121	—	2	1	no	—
1253	#121	—	2	1	no	—
1254	#121	—	2	1	no	—
1255	#121	—	2	1	no	—
1256	#121	—	2	1	no	—
1257	#121	—	2	1	no	—
1258	#121	—	2	1	no	—
1259	#121	—	2	1	no	—
1260	#121	—	2	1	no	—
1261	#121	—	2	1	no	—
1262	#121	—	2	1	no	—
1263	#121	—	2	1	no	—
1264	#121	—	2	1	no	—
1265	#121	—	2	1	no	—
1266	#121	—	2	1	no	—
1267	#121	—	2	1	no	—
1268	#121	—	2	1	no	—
1269	#121	—	2	1	no	—
1270	#121	—	2	1	no	—
1271	#121	—	2	1	no	—
1272	#121	D₄×C₃₁	1	1	yes	characteristic
1273	#121	C₂³×C₃₁	1	1	yes	characteristic
1274	#121	C₂³×C₃₁	1	1	yes	characteristic
1275	#121	C₂³×C₃₁	1	1	yes	characteristic
1276	#121	C₂³×C₃₁	1	1	yes	characteristic
1277	#121	C₂³×C₃₁	1	1	yes	characteristic
1278	#121	C₂³×C₃₁	1	1	yes	characteristic
1279	#121	C₂³×C₃₁	1	1	yes	characteristic
1280	#121	C₂³×C₃₁	1	1	yes	characteristic
1281	#121	C₂³×C₃₁	1	1	yes	characteristic
1282	#120	—	2	1	no	—
1283	#120	—	2	1	no	—
1284	#120	—	2	1	no	—
1285	#120	—	2	1	no	—
1286	#120	—	2	1	no	—
1287	#120	—	2	1	no	—
1288	#120	—	2	1	no	—
1289	#120	—	2	1	no	—
1290	#120	—	2	1	no	—
1291	#120	—	2	1	no	—
1292	#120	—	2	1	no	—
1293	#120	—	2	1	no	—
1294	#120	—	2	1	no	—
1295	#120	—	2	1	no	—
1296	#120	—	2	1	no	—
1297	#120	—	2	1	no	—
1298	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1299	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1300	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1301	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1302	C₄×D₄	—	2	1	no	—
1303	C₄×D₄	—	2	1	no	—
1304	C₄×D₄	—	2	1	no	—
1305	C₄×D₄	—	2	1	no	—
1306	C₄×D₄	—	2	1	no	—
1307	C₄×D₄	—	2	1	no	—
1308	C₄×D₄	—	2	1	no	—
1309	C₄×D₄	—	2	1	no	—
1310	C₄×D₄	—	2	1	no	—
1311	C₄×D₄	—	2	1	no	—
1312	C₄×D₄	—	2	1	no	—
1313	C₄×D₄	—	2	1	no	—
1314	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1315	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1316	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1317	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1318	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1319	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1320	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1321	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1322	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1323	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1324	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1325	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1326	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1327	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1328	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1329	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1330	#117	—	2	1	no	—
1331	#117	—	2	1	no	—
1332	#117	—	2	1	no	—
1333	#117	—	2	1	no	—
1334	#117	C₂³×C₃₁	1	1	yes	characteristic
1335	#117	C₂³×C₃₁	1	1	yes	characteristic
1336	#117	C₂³×C₃₁	1	1	yes	characteristic
1337	C₂×C₄⋊C₄	—	2	1	no	—
1338	C₂×C₄⋊C₄	—	2	1	no	—
1339	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1340	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1341	C₂×C₂²⋊C₄	—	2	1	no	—
1342	C₂×C₂²⋊C₄	—	2	1	no	—
1343	C₂×C₂²⋊C₄	—	2	1	no	—
1344	C₂×C₂²⋊C₄	—	2	1	no	—
1345	C₂×C₂²⋊C₄	—	2	1	no	—
1346	C₂×C₂²⋊C₄	—	2	1	no	—
1347	C₂×C₂²⋊C₄	—	2	1	no	—
1348	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1349	#107	C₂³×C₃₁	1	1	yes	characteristic
1350	#107	C₂³×C₃₁	1	1	yes	characteristic
1351	#107	C₂³×C₃₁	1	1	yes	characteristic
1352	#107	C₂³×C₃₁	1	1	yes	characteristic
1353	#106	C₂³×C₃₁	1	1	yes	characteristic
1354	#106	C₂³×C₃₁	1	1	yes	characteristic
1355	#106	C₂³×C₃₁	1	1	yes	characteristic
1356	#106	C₂³×C₃₁	1	1	yes	characteristic
1357	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1358	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1359	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1360	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1361	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1362	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1363	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1364	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1365	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1366	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1367	#103	C₂³×C₃₁	1	1	yes	characteristic
1368	#103	C₂³×C₃₁	1	1	yes	characteristic
1369	#103	C₂³×C₃₁	1	1	yes	characteristic
1370	#103	C₂³×C₃₁	1	1	yes	characteristic
1371	#103	C₂³×C₃₁	1	1	yes	characteristic
1372	#103	C₂³×C₃₁	1	1	yes	characteristic
1373	#102	C₂³×C₃₁	1	1	yes	characteristic
1374	#102	C₂³×C₃₁	1	1	yes	characteristic
1375	#102	C₂³×C₃₁	1	1	yes	characteristic
1376	#102	C₂³×C₃₁	1	1	yes	characteristic
1377	#102	C₂³×C₃₁	1	1	yes	characteristic
1378	#102	C₂³×C₃₁	1	1	yes	characteristic
1379	#102	C₂³×C₃₁	1	1	yes	characteristic
1380	#102	C₂³×C₃₁	1	1	yes	characteristic
1381	#102	C₂³×C₃₁	1	1	yes	characteristic
1382	#102	C₂³×C₃₁	1	1	yes	characteristic
1383	#102	C₂³×C₃₁	1	1	yes	characteristic
1384	#102	C₂³×C₃₁	1	1	yes	characteristic
1385	#102	C₂³×C₃₁	1	1	yes	characteristic
1386	#102	C₂³×C₃₁	1	1	yes	characteristic
1387	#102	C₂³×C₃₁	1	1	yes	characteristic
1388	#102	C₂³×C₃₁	1	1	yes	characteristic
1389	#102	C₂³×C₃₁	1	1	yes	characteristic
1390	#102	C₂³×C₃₁	1	1	yes	characteristic
1391	#102	C₂³×C₃₁	1	1	yes	characteristic
1392	#102	C₂³×C₃₁	1	1	yes	characteristic
1393	#102	C₂³×C₃₁	1	1	yes	characteristic
1394	#102	C₂³×C₃₁	1	1	yes	characteristic
1395	#102	C₂³×C₃₁	1	1	yes	characteristic
1396	#102	C₂³×C₃₁	1	1	yes	characteristic
1397	#102	C₂³×C₃₁	1	1	yes	characteristic
1398	#102	C₂³×C₃₁	1	1	yes	characteristic
1399	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1400	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1401	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1402	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1403	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1404	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1405	#97	C₂³×C₃₁	1	1	yes	characteristic
1406	#97	C₂³×C₃₁	1	1	yes	characteristic
1407	#97	C₂³×C₃₁	1	1	yes	characteristic
1408	#97	C₂³×C₃₁	1	1	yes	characteristic
1409	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1410	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1411	C₃₁	#62007	1	1	yes	characteristic, direct product factor, Sylow
1412	C₂⁴	—	2	1	no	—
1413	C₂⁴	—	2	1	no	—
1414	C₂⁴	—	2	1	no	—
1415	C₂⁴	—	2	1	no	—
1416	C₂⁴	—	2	1	no	—
1417	C₂⁴	—	2	1	no	—
1418	#41	—	2	2	no	—
1419	#41	—	4	1	no	—
1420	#41	—	4	1	no	—
1421	#41	—	4	1	no	—
1422	#41	—	4	1	no	—
1423	#41	—	4	1	no	—
1424	#41	—	8	2	no	—
1425	#41	—	8	2	no	—
1426	C₂×Q₈	—	2	1	no	—
1427	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1428	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1429	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1430	C₂×D₄	—	2	2	no	—
1431	C₂×D₄	—	2	2	no	—
1432	C₂×D₄	—	2	1	no	—
1433	C₂×D₄	—	2	1	no	—
1434	C₂×D₄	—	2	1	no	—
1435	C₂×D₄	—	2	1	no	—
1436	C₂×D₄	—	2	1	no	—
1437	C₂×D₄	—	2	1	no	—
1438	C₂×D₄	—	2	1	no	—
1439	C₂×D₄	—	2	1	no	—
1440	C₂×D₄	—	2	1	no	—
1441	C₂×D₄	—	2	1	no	—
1442	C₂×D₄	—	2	1	no	—
1443	C₂×D₄	—	2	1	no	—
1444	C₂×D₄	—	2	1	no	—
1445	C₂×D₄	—	2	1	no	—
1446	C₂×D₄	—	2	1	no	—
1447	C₂×D₄	—	2	1	no	—
1448	C₂×D₄	—	2	1	no	—
1449	C₂×D₄	—	2	1	no	—
1450	C₂×D₄	—	2	1	no	—
1451	C₂×D₄	—	2	1	no	—
1452	C₂×D₄	—	2	1	no	—
1453	C₂×D₄	—	2	1	no	—
1454	C₂×D₄	—	2	1	no	—
1455	C₂×D₄	—	2	1	no	—
1456	C₂×D₄	—	2	1	no	—
1457	C₂×D₄	—	2	1	no	—
1458	C₂×D₄	—	2	1	no	—
1459	C₂×D₄	—	2	1	no	—
1460	C₂×D₄	—	2	1	no	—
1461	C₂×D₄	—	2	1	no	—
1462	C₂×D₄	—	2	1	no	—
1463	C₂×D₄	—	2	1	no	—
1464	C₂×D₄	—	4	1	no	—
1465	C₂×D₄	—	4	1	no	—
1466	C₂×D₄	—	4	1	no	—
1467	C₂×D₄	—	4	1	no	—
1468	C₂×D₄	—	4	1	no	—
1469	C₂×D₄	—	4	1	no	—
1470	C₂×D₄	—	4	1	no	—
1471	C₂×D₄	—	4	1	no	—
1472	C₂×D₄	—	4	1	no	—
1473	C₂×D₄	—	4	1	no	—
1474	C₂×D₄	—	8	2	no	—
1475	C₂×D₄	—	8	2	no	—
1476	C₂×D₄	—	8	2	no	—
1477	C₂×D₄	—	8	2	no	—
1478	C₂×D₄	—	8	2	no	—
1479	C₂×D₄	—	8	2	no	—
1480	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1481	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1482	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1483	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1484	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1485	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1486	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1487	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1488	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1489	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1490	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1491	C₂²×C₄	—	2	1	no	—
1492	C₂²×C₄	—	2	1	no	—
1493	C₂²×C₄	—	2	1	no	—
1494	C₂²×C₄	—	2	1	no	—
1495	C₂²×C₄	—	2	1	no	—
1496	C₂²×C₄	—	2	1	no	—
1497	C₂²×C₄	—	2	1	no	—
1498	C₂²×C₄	—	2	1	no	—
1499	C₂²×C₄	—	2	1	no	—
1500	C₂²×C₄	—	2	1	no	—
1501	C₂²×C₄	—	2	1	no	—
1502	C₂²×C₄	—	2	1	no	—
1503	C₂²×C₄	—	2	1	no	—
1504	C₂²×C₄	—	2	1	no	—
1505	C₂²×C₄	—	2	1	no	—
1506	C₂²×C₄	—	2	1	no	—
1507	C₂²×C₄	—	2	1	no	—
1508	C₂²×C₄	—	2	1	no	—
1509	C₂²×C₄	—	8	2	no	—
1510	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1511	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1512	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1513	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1514	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1515	Q₁₆	—	4	1	no	—
1516	SD₁₆	—	2	2	no	—
1517	SD₁₆	—	4	1	no	—
1518	SD₁₆	—	4	1	no	—
1519	SD₁₆	—	4	1	no	—
1520	SD₁₆	—	4	1	no	—
1521	SD₁₆	—	4	1	no	—
1522	SD₁₆	—	4	1	no	—
1523	SD₁₆	—	4	1	no	—
1524	D₈	—	2	2	no	—
1525	D₈	—	2	2	no	—
1526	D₈	—	2	2	no	—
1527	D₈	—	2	2	no	—
1528	D₈	—	2	2	no	—
1529	D₈	—	4	1	no	—
1530	D₈	—	4	1	no	—
1531	D₈	—	4	1	no	—
1532	D₈	—	4	1	no	—
1533	D₈	—	4	1	no	—
1534	D₈	—	4	1	no	—
1535	D₈	—	4	1	no	—
1536	D₈	—	4	1	no	—
1537	D₈	—	4	1	no	—
1538	D₈	—	4	1	no	—
1539	M₁₆	—	4	1	no	—
1540	M₁₆	—	4	1	no	—
1541	C₂×C₈	—	4	1	no	—
1542	C₂×C₈	—	4	1	no	—
1543	C₂×C₈	—	4	1	no	—
1544	C₂×C₈	—	4	1	no	—
1545	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1546	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1547	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1548	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1549	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1550	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1551	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1552	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	2	1	no	—
1558	C₄⋊C₄	—	2	1	no	—
1559	C₄⋊C₄	—	2	1	no	—
1560	C₄⋊C₄	—	2	1	no	—
1561	C₄⋊C₄	—	2	1	no	—
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	2	1	no	—
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	2	1	no	—
1567	C₄⋊C₄	—	2	1	no	—
1568	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1569	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1570	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1571	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1572	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1573	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1574	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1575	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1576	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1577	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1578	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1579	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1580	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1581	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1582	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1583	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	2	1	no	—
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	2	1	no	—
1604	C₂²⋊C₄	—	2	1	no	—
1605	C₂²⋊C₄	—	2	1	no	—
1606	C₂²⋊C₄	—	2	1	no	—
1607	C₂²⋊C₄	—	2	1	no	—
1608	C₂²⋊C₄	—	2	1	no	—
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	2	1	no	—
1615	C₂²⋊C₄	—	2	1	no	—
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	2	1	no	—
1619	C₂²⋊C₄	—	2	1	no	—
1620	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1621	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1622	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1623	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1624	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1625	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1626	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1627	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1628	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1629	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1630	C₄²	—	2	1	no	—
1631	C₄²	—	2	1	no	—
1632	C₄²	—	2	1	no	—
1633	C₄²	—	2	1	no	—
1634	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1635	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1636	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1637	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1638	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1639	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1640	C₂³	—	2	1	no	—
1641	C₂³	—	2	1	no	—
1642	C₂³	—	2	1	no	—
1643	C₂³	—	2	1	no	—
1644	C₂³	—	2	1	no	—
1645	C₂³	—	2	1	no	—
1646	C₂³	—	2	1	no	—
1647	C₂³	—	2	1	no	—
1648	C₂³	—	4	2	no	—
1649	C₂³	—	4	2	no	—
1650	C₂³	—	4	2	no	—
1651	C₂³	—	4	2	no	—
1652	C₂³	—	4	2	no	—
1653	C₂³	—	8	1	no	—
1654	C₂³	—	8	1	no	—
1655	C₂³	—	8	1	no	—
1656	C₂³	—	8	1	no	—
1657	C₂³	—	8	1	no	—
1658	C₂³	—	8	1	no	—
1659	C₂³	—	8	1	no	—
1660	C₂³	—	8	1	no	—
1661	C₂³	—	8	1	no	—
1662	C₂³	—	8	1	no	—
1663	C₂³	—	8	1	no	—
1664	C₂³	—	8	1	no	—
1665	C₂³	—	8	1	no	—
1666	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1667	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1668	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1669	Q₈	—	2	1	no	—
1670	Q₈	—	2	1	no	—
1671	Q₈	—	2	1	no	—
1672	Q₈	—	2	1	no	—
1673	Q₈	—	4	1	no	—
1674	Q₈	—	8	1	no	—
1675	D₄	—	2	2	no	—
1676	D₄	—	2	2	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	2	1	no	—
1679	D₄	—	2	1	no	—
1680	D₄	—	2	1	no	—
1681	D₄	—	2	1	no	—
1682	D₄	—	2	1	no	—
1683	D₄	—	2	1	no	—
1684	D₄	—	2	1	no	—
1685	D₄	—	2	1	no	—
1686	D₄	—	2	1	no	—
1687	D₄	—	2	1	no	—
1688	D₄	—	2	1	no	—
1689	D₄	—	2	1	no	—
1690	D₄	—	2	1	no	—
1691	D₄	—	2	1	no	—
1692	D₄	—	4	1	no	—
1693	D₄	—	4	2	no	—
1694	D₄	—	4	2	no	—
1695	D₄	—	4	2	no	—
1696	D₄	—	4	2	no	—
1697	D₄	—	4	2	no	—
1698	D₄	—	4	2	no	—
1699	D₄	—	4	2	no	—
1700	D₄	—	8	1	no	—
1701	D₄	—	8	1	no	—
1702	D₄	—	8	1	no	—
1703	D₄	—	8	1	no	—
1704	D₄	—	8	1	no	—
1705	D₄	—	8	1	no	—
1706	D₄	—	8	1	no	—
1707	D₄	—	8	1	no	—
1708	D₄	—	8	1	no	—
1709	D₄	—	8	1	no	—
1710	D₄	—	8	1	no	—
1711	D₄	—	8	1	no	—
1712	D₄	—	8	1	no	—
1713	D₄	—	8	1	no	—
1714	D₄	—	8	1	no	—
1715	D₄	—	8	1	no	—
1716	D₄	—	8	1	no	—
1717	D₄	—	8	1	no	—
1718	D₄	—	8	1	no	—
1719	D₄	—	8	1	no	—
1720	D₄	—	8	1	no	—
1721	D₄	—	8	1	no	—
1722	D₄	—	8	1	no	—
1723	D₄	—	8	1	no	—
1724	D₄	—	8	1	no	—
1725	D₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
1726	C₂×C₄	—	2	2	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	4	1	no	—
1742	C₂×C₄	—	4	2	no	—
1743	C₂×C₄	—	4	2	no	—
1744	C₂×C₄	—	4	2	no	—
1745	C₂×C₄	—	8	1	no	—
1746	C₂×C₄	—	8	1	no	—
1747	C₂×C₄	—	8	1	no	—
1748	C₂×C₄	—	8	1	no	—
1749	C₂×C₄	—	8	1	no	—
1750	C₂×C₄	—	8	1	no	—
1751	C₂×C₄	—	8	1	no	—
1752	C₂×C₄	—	8	1	no	—
1753	C₂×C₄	—	8	1	no	—
1754	C₂×C₄	—	8	1	no	—
1755	C₂×C₄	—	8	1	no	—
1756	C₂×C₄	—	8	1	no	—
1757	C₂×C₄	—	8	1	no	—
1758	C₂×C₄	—	8	1	no	—
1759	C₂×C₄	—	8	1	no	—
1760	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1761	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1762	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1763	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1764	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1765	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1766	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1767	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1768	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1769	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1770	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1771	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1772	C₈	—	2	1	no	—
1773	C₈	—	2	1	no	—
1774	C₈	—	2	1	no	—
1775	C₈	—	2	1	no	—
1776	C₈	—	2	1	no	—
1777	C₈	—	2	1	no	—
1778	C₈	—	2	1	no	—
1779	C₈	—	2	1	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	2	no	—
1785	C₂²	—	2	1	no	—
1786	C₂²	—	2	1	no	—
1787	C₂²	—	2	1	no	—
1788	C₂²	—	2	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	4	1	no	—
1799	C₂²	—	4	1	no	—
1800	C₂²	—	4	1	no	—
1801	C₂²	—	4	1	no	—
1802	C₂²	—	4	1	no	—
1803	C₂²	—	4	1	no	—
1804	C₂²	—	4	1	no	—
1805	C₂²	—	4	1	no	—
1806	C₂²	—	4	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	4	1	no	—
1809	C₂²	—	4	1	no	—
1810	C₂²	—	4	1	no	—
1811	C₂²	—	4	1	no	—
1812	C₂²	—	8	4	no	—
1813	C₂²	—	16	2	no	—
1814	C₂²	—	16	2	no	—
1815	C₂²	—	16	2	no	—
1816	C₂²	—	16	2	no	—
1817	C₂²	—	16	2	no	—
1818	C₂²	C₃₁×#576	1	2	yes	—
1819	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1820	C₄	—	2	1	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	2	1	no	—
1823	C₄	—	2	1	no	—
1824	C₄	—	2	1	no	—
1825	C₄	—	2	1	no	—
1826	C₄	—	2	1	no	—
1827	C₄	—	2	1	no	—
1828	C₄	—	2	1	no	—
1829	C₄	—	2	1	no	—
1830	C₄	—	2	1	no	—
1831	C₄	—	4	1	no	—
1832	C₄	—	4	1	no	—
1833	C₄	—	4	1	no	—
1834	C₄	—	4	1	no	—
1835	C₄	—	4	1	no	—
1836	C₄	—	4	1	no	—
1837	C₄	—	4	1	no	—
1838	C₄	—	4	1	no	—
1839	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1840	C₄	C₃₁×#585	1	1	yes	characteristic
1841	C₂	—	2	2	no	—
1842	C₂	—	4	1	no	—
1843	C₂	—	4	1	no	—
1844	C₂	—	4	2	no	—
1845	C₂	—	8	1	no	—
1846	C₂	—	8	1	no	—
1847	C₂	—	8	1	no	—
1848	C₂	—	8	1	no	—
1849	C₂	—	8	1	no	—
1850	C₂	—	8	1	no	—
1851	C₂	—	8	1	no	—
1852	C₂	C₃₁×#3488	1	1	yes	characteristic
1853	C₂	C₂×C₃₁×#576	1	1	yes	characteristic
1854	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×#3543	C₂	semidirect
2. C₃₁×#3513	C₂	semidirect
3. C₃₁×#3403	C₂	semidirect
4. C₃₁×#3399	C₂	semidirect
5. C₃₁×#3370	C₂	semidirect
6. C₃₁×#3366	C₂	semidirect
7. C₃₁×#3318	C₂	semidirect
8. C₃₁×#3310	C₂	semidirect
9. C₃₁×#3309	C₂	semidirect
10. C₃₁×#3306	C₂	semidirect
11. C₃₁×#3296	C₂	semidirect
12. C₃₁×#3294	C₂	semidirect
13. C₃₁×#3280	C₂	semidirect
14. D₄×D₈×C₃₁	C₂	semidirect
15. C₃₁×#3268	C₂	semidirect
16. C₃₁×#3264	C₂	semidirect
17. C₃₁×#3264	C₂	semidirect
18. C₃₁×#3264	C₂	semidirect
19. C₃₁×#3259	C₂	semidirect
20. C₃₁×#3257	C₂	semidirect
21. C₃₁×#3250	C₂	semidirect
22. C₃₁×#3224	C₂	semidirect
23. C₃₁×#3220	C₂	semidirect
24. C₃₁×#3217	C₂	semidirect
25. C₃₁×#3122	C₂	semidirect
26. C₃₁×#3119	C₂	semidirect
27. C₃₁×#3114	C₂	semidirect
28. C₃₁×#3045	C₂	semidirect
29. C₃₁×#3041	C₂	semidirect
30. C₂×C₃₁×#459	C₂	semidirect
31. C₃₁×#2992	C₂	semidirect
32. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
33. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
34. C₂×C₃₁×#135	C₂²	semidirect
35. C₂²×D₈×C₃₁	C₂²	semidirect
36. C₂²×D₈×C₃₁	C₂²	semidirect
37. C₂²×D₈×C₃₁	C₂²	semidirect
40. C₃₁×#559	C₂²	semidirect
41. C₃₁×#559	C₂²	semidirect
42. C₃₁×#554	C₂²	semidirect
44. C₃₁×#553	C₂²	semidirect
45. C₃₁×#552	C₂²	semidirect
48. C₃₁×#550	C₂²	semidirect
49. C₃₁×#550	C₂²	semidirect
50. C₃₁×#547	C₂²	semidirect
54. C₃₁×#546	C₂²	semidirect
55. C₃₁×#546	C₂²	semidirect
56. C₃₁×#546	C₂²	semidirect
59. D₄²×C₃₁	C₂²	semidirect
60. D₄²×C₃₁	C₂²	semidirect
61. D₄²×C₃₁	C₂²	semidirect
62. C₃₁×#542	C₂²	semidirect
64. C₃₁×#540	C₂²	semidirect
65. C₃₁×#540	C₂²	semidirect
66. C₃₁×#540	C₂²	semidirect
70. C₃₁×#535	C₂²	semidirect
71. C₃₁×#535	C₂²	semidirect
74. C₂×C₃₁×#127	C₂²	semidirect
76. C₃₁×#529	C₂²	semidirect
77. C₃₁×#529	C₂²	semidirect
80. C₃₁×#520	C₂²	semidirect
81. C₃₁×#518	C₂²	semidirect
82. C₂×C₄×D₄×C₃₁	C₂²	semidirect
83. C₃₁×#496	C₂²	semidirect
84. C₃₁×#496	C₂²	semidirect
85. C₃₁×#496	C₂²	semidirect
86. C₃₁×#496	C₂²	semidirect
87. C₃₁×#495	C₂²	semidirect
88. C₃₁×#493	C₂²	semidirect
89. C₃₁×#490	C₂²	semidirect
90. C₃₁×#490	C₂²	semidirect
91. C₃₁×#490	C₂²	semidirect
92. C₃₁×#489	C₂²	semidirect
93. C₃₁×#488	C₂²	semidirect
94. C₃₁×#486	C₂²	semidirect
95. C₃₁×#483	C₂²	semidirect
96. C₃₁×#482	C₂²	semidirect
97. C₃₁×#482	C₂²	semidirect
98. C₃₁×#481	C₂²	semidirect
99. C₃₁×#480	C₂²	semidirect
100. C₃₁×#480	C₂²	semidirect
101. C₃₁×#479	C₂²	semidirect
102. C₃₁×#479	C₂²	semidirect
103. C₃₁×#478	C₂²	semidirect
104. C₃₁×#478	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×#469	C₂²	semidirect
112. C₃₁×#469	C₂²	semidirect
113. C₃₁×#469	C₂²	semidirect
114. C₃₁×#468	C₂²	semidirect
115. C₃₁×#467	C₂²	semidirect
117. C₃₁×#466	C₂²	semidirect
118. C₃₁×#466	C₂²	semidirect
119. C₃₁×#466	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
126. C₃₁×#463	C₂²	semidirect
127. C₃₁×#463	C₂²	semidirect
128. C₃₁×#463	C₂²	semidirect
129. C₃₁×#463	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×#460	C₂²	semidirect
136. C₃₁×#460	C₂²	semidirect
137. C₃₁×#460	C₂²	semidirect
139. C₃₁×#459	C₂²	semidirect
140. C₃₁×#459	C₂²	semidirect
141. C₃₁×#459	C₂²	semidirect
142. C₃₁×#459	C₂²	semidirect
143. C₃₁×#459	C₂²	semidirect
144. C₃₁×#459	C₂²	semidirect
145. C₃₁×#459	C₂²	semidirect
146. C₃₁×#459	C₂²	semidirect
147. C₃₁×#459	C₂²	semidirect
148. C₃₁×#459	C₂²	semidirect
149. C₃₁×#459	C₂²	semidirect
150. C₃₁×#459	C₂²	semidirect
151. C₃₁×#459	C₂²	semidirect
152. C₃₁×#459	C₂²	semidirect
153. C₃₁×#452	C₂²	semidirect
154. C₃₁×#450	C₂²	semidirect
155. C₃₁×#450	C₂²	semidirect
156. C₃₁×#450	C₂²	semidirect
157. C₃₁×#450	C₂²	semidirect
158. C₃₁×#449	C₂²	semidirect
159. C₃₁×#449	C₂²	semidirect
160. C₃₁×#449	C₂²	semidirect
161. C₃₁×#449	C₂²	semidirect
162. C₃₁×#449	C₂²	semidirect
164. C₃₁×#447	C₂²	semidirect
165. C₃₁×#447	C₂²	semidirect
166. C₃₁×#447	C₂²	semidirect
167. C₃₁×#447	C₂²	semidirect
168. C₃₁×#447	C₂²	semidirect
169. C₃₁×#447	C₂²	semidirect
170. C₃₁×#447	C₂²	semidirect
171. C₃₁×#446	C₂²	semidirect
172. C₃₁×#446	C₂²	semidirect
173. C₃₁×#442	C₂²	semidirect
174. C₃₁×#442	C₂²	semidirect
175. C₃₁×#442	C₂²	semidirect
176. C₃₁×#442	C₂²	semidirect
177. C₃₁×#442	C₂²	semidirect
178. C₃₁×#440	C₂²	semidirect
179. C₃₁×#440	C₂²	semidirect
180. C₃₁×#440	C₂²	semidirect
181. C₄×SD₁₆×C₃₁	C₂²	semidirect
182. C₄×D₈×C₃₁	C₂²	semidirect
183. C₄×D₈×C₃₁	C₂²	semidirect
184. C₄×D₈×C₃₁	C₂²	semidirect
185. C₃₁×#435	C₂²	semidirect
186. C₃₁×#435	C₂²	semidirect
187. C₃₁×#435	C₂²	semidirect
188. C₃₁×#435	C₂²	semidirect
189. C₈×D₄×C₃₁	C₂²	semidirect
190. C₈×D₄×C₃₁	C₂²	semidirect
191. C₃₁×#433	C₂²	semidirect
192. C₃₁×#433	C₂²	semidirect
193. C₃₁×#432	C₂²	semidirect
194. C₃₁×#424	C₂²	semidirect
195. C₃₁×#424	C₂²	semidirect
196. C₂×C₃₁×C₄⋊C₈	C₂²	semidirect
197. C₃₁×#418	C₂²	semidirect
198. C₃₁×#417	C₂²	semidirect
199. C₃₁×#416	C₂²	semidirect
200. C₂×C₃₁×#102	C₂²	semidirect
201. C₂×C₃₁×#102	C₂²	semidirect
202. C₂×C₃₁×#102	C₂²	semidirect
712. #62007	C₃₁	direct (N × H)
853. #3543	C₂×C₃₁	semidirect
854. #3513	C₂×C₃₁	semidirect
855. #3403	C₂×C₃₁	semidirect
856. #3399	C₂×C₃₁	semidirect
857. #3370	C₂×C₃₁	semidirect
858. #3366	C₂×C₃₁	semidirect
859. #3318	C₂×C₃₁	semidirect
860. #3310	C₂×C₃₁	semidirect
861. #3309	C₂×C₃₁	semidirect
862. #3306	C₂×C₃₁	semidirect
863. #3296	C₂×C₃₁	semidirect
864. #3294	C₂×C₃₁	semidirect
865. #3280	C₂×C₃₁	semidirect
866. D₄×D₈	C₂×C₃₁	semidirect
867. #3268	C₂×C₃₁	semidirect
868. #3264	C₂×C₃₁	semidirect
869. #3264	C₂×C₃₁	semidirect
870. #3264	C₂×C₃₁	semidirect
871. #3259	C₂×C₃₁	semidirect
872. #3257	C₂×C₃₁	semidirect
873. #3250	C₂×C₃₁	semidirect
874. #3224	C₂×C₃₁	semidirect
875. #3220	C₂×C₃₁	semidirect
876. #3217	C₂×C₃₁	semidirect
877. #3122	C₂×C₃₁	semidirect
878. #3119	C₂×C₃₁	semidirect
879. #3114	C₂×C₃₁	semidirect
880. #3045	C₂×C₃₁	semidirect
881. #3041	C₂×C₃₁	semidirect
882. C₂×#459	C₂×C₃₁	semidirect
883. #2992	C₂×C₃₁	semidirect
945. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
946. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
947. C₂×#135	C₂²×C₃₁	semidirect
948. C₂²×D₈	C₂²×C₃₁	semidirect
949. C₂²×D₈	C₂²×C₃₁	semidirect
950. C₂²×D₈	C₂²×C₃₁	semidirect
953. #559	C₂²×C₃₁	semidirect
954. #559	C₂²×C₃₁	semidirect
955. #554	C₂²×C₃₁	semidirect
957. #553	C₂²×C₃₁	semidirect
958. #552	C₂²×C₃₁	semidirect
961. #550	C₂²×C₃₁	semidirect
962. #550	C₂²×C₃₁	semidirect
963. #547	C₂²×C₃₁	semidirect
967. #546	C₂²×C₃₁	semidirect
968. #546	C₂²×C₃₁	semidirect
969. #546	C₂²×C₃₁	semidirect
972. D₄²	C₂²×C₃₁	semidirect
973. D₄²	C₂²×C₃₁	semidirect
974. D₄²	C₂²×C₃₁	semidirect
975. #542	C₂²×C₃₁	semidirect
977. #540	C₂²×C₃₁	semidirect
978. #540	C₂²×C₃₁	semidirect
979. #540	C₂²×C₃₁	semidirect
983. #535	C₂²×C₃₁	semidirect
984. #535	C₂²×C₃₁	semidirect
987. C₂×#127	C₂²×C₃₁	semidirect
989. #529	C₂²×C₃₁	semidirect
990. #529	C₂²×C₃₁	semidirect
993. #520	C₂²×C₃₁	semidirect
994. #518	C₂²×C₃₁	semidirect
995. C₂×C₄×D₄	C₂²×C₃₁	semidirect
996. #496	C₂²×C₃₁	semidirect
997. #496	C₂²×C₃₁	semidirect
998. #496	C₂²×C₃₁	semidirect
999. #496	C₂²×C₃₁	semidirect
1000. #495	C₂²×C₃₁	semidirect
1001. #493	C₂²×C₃₁	semidirect
1002. #490	C₂²×C₃₁	semidirect
1003. #490	C₂²×C₃₁	semidirect
1004. #490	C₂²×C₃₁	semidirect
1005. #489	C₂²×C₃₁	semidirect
1006. #488	C₂²×C₃₁	semidirect
1007. #486	C₂²×C₃₁	semidirect
1008. #483	C₂²×C₃₁	semidirect
1009. #482	C₂²×C₃₁	semidirect
1010. #482	C₂²×C₃₁	semidirect
1011. #481	C₂²×C₃₁	semidirect
1012. #480	C₂²×C₃₁	semidirect
1013. #480	C₂²×C₃₁	semidirect
1014. #479	C₂²×C₃₁	semidirect
1015. #479	C₂²×C₃₁	semidirect
1016. #478	C₂²×C₃₁	semidirect
1017. #478	C₂²×C₃₁	semidirect
1018. #478	C₂²×C₃₁	semidirect
1019. #478	C₂²×C₃₁	semidirect
1020. #478	C₂²×C₃₁	semidirect
1021. #478	C₂²×C₃₁	semidirect
1022. #476	C₂²×C₃₁	semidirect
1023. #474	C₂²×C₃₁	semidirect
1024. #469	C₂²×C₃₁	semidirect
1025. #469	C₂²×C₃₁	semidirect
1026. #469	C₂²×C₃₁	semidirect
1027. #468	C₂²×C₃₁	semidirect
1028. #467	C₂²×C₃₁	semidirect
1030. #466	C₂²×C₃₁	semidirect
1031. #466	C₂²×C₃₁	semidirect
1032. #466	C₂²×C₃₁	semidirect
1033. #465	C₂²×C₃₁	semidirect
1034. #465	C₂²×C₃₁	semidirect
1035. #465	C₂²×C₃₁	semidirect
1036. #464	C₂²×C₃₁	semidirect
1037. #464	C₂²×C₃₁	semidirect
1038. #464	C₂²×C₃₁	semidirect
1039. #463	C₂²×C₃₁	semidirect
1040. #463	C₂²×C₃₁	semidirect
1041. #463	C₂²×C₃₁	semidirect
1042. #463	C₂²×C₃₁	semidirect
1043. #463	C₂²×C₃₁	semidirect
1044. #463	C₂²×C₃₁	semidirect
1045. #463	C₂²×C₃₁	semidirect
1046. #463	C₂²×C₃₁	semidirect
1047. #463	C₂²×C₃₁	semidirect
1048. #460	C₂²×C₃₁	semidirect
1049. #460	C₂²×C₃₁	semidirect
1050. #460	C₂²×C₃₁	semidirect
1052. #459	C₂²×C₃₁	semidirect
1053. #459	C₂²×C₃₁	semidirect
1054. #459	C₂²×C₃₁	semidirect
1055. #459	C₂²×C₃₁	semidirect
1056. #459	C₂²×C₃₁	semidirect
1057. #459	C₂²×C₃₁	semidirect
1058. #459	C₂²×C₃₁	semidirect
1059. #459	C₂²×C₃₁	semidirect
1060. #459	C₂²×C₃₁	semidirect
1061. #459	C₂²×C₃₁	semidirect
1062. #459	C₂²×C₃₁	semidirect
1063. #459	C₂²×C₃₁	semidirect
1064. #459	C₂²×C₃₁	semidirect
1065. #459	C₂²×C₃₁	semidirect
1066. #452	C₂²×C₃₁	semidirect
1067. #450	C₂²×C₃₁	semidirect
1068. #450	C₂²×C₃₁	semidirect
1069. #450	C₂²×C₃₁	semidirect
1070. #450	C₂²×C₃₁	semidirect
1071. #449	C₂²×C₃₁	semidirect
1072. #449	C₂²×C₃₁	semidirect
1073. #449	C₂²×C₃₁	semidirect
1074. #449	C₂²×C₃₁	semidirect
1075. #449	C₂²×C₃₁	semidirect
1077. #447	C₂²×C₃₁	semidirect
1078. #447	C₂²×C₃₁	semidirect
1079. #447	C₂²×C₃₁	semidirect
1080. #447	C₂²×C₃₁	semidirect
1081. #447	C₂²×C₃₁	semidirect
1082. #447	C₂²×C₃₁	semidirect
1083. #447	C₂²×C₃₁	semidirect
1084. #446	C₂²×C₃₁	semidirect
1085. #446	C₂²×C₃₁	semidirect
1086. #442	C₂²×C₃₁	semidirect
1087. #442	C₂²×C₃₁	semidirect
1088. #442	C₂²×C₃₁	semidirect
1089. #442	C₂²×C₃₁	semidirect
1090. #442	C₂²×C₃₁	semidirect
1091. #440	C₂²×C₃₁	semidirect
1092. #440	C₂²×C₃₁	semidirect
1093. #440	C₂²×C₃₁	semidirect
1094. C₄×SD₁₆	C₂²×C₃₁	semidirect
1095. C₄×D₈	C₂²×C₃₁	semidirect
1096. C₄×D₈	C₂²×C₃₁	semidirect
1097. C₄×D₈	C₂²×C₃₁	semidirect
1098. #435	C₂²×C₃₁	semidirect
1099. #435	C₂²×C₃₁	semidirect
1100. #435	C₂²×C₃₁	semidirect
1101. #435	C₂²×C₃₁	semidirect
1102. C₈×D₄	C₂²×C₃₁	semidirect
1103. C₈×D₄	C₂²×C₃₁	semidirect
1104. #433	C₂²×C₃₁	semidirect
1105. #433	C₂²×C₃₁	semidirect
1106. #432	C₂²×C₃₁	semidirect
1107. #424	C₂²×C₃₁	semidirect
1108. #424	C₂²×C₃₁	semidirect
1109. C₂×C₄⋊C₈	C₂²×C₃₁	semidirect
1110. #418	C₂²×C₃₁	semidirect
1111. #417	C₂²×C₃₁	semidirect
1112. #416	C₂²×C₃₁	semidirect
1113. C₂×#102	C₂²×C₃₁	semidirect
1114. C₂×#102	C₂²×C₃₁	semidirect
1115. C₂×#102	C₂²×C₃₁	semidirect
1411. C₃₁	#62007	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×#3543	2
C₃₁×#3513	2
C₃₁×#3403	2
C₃₁×#3399	2
C₃₁×#3370	2
C₃₁×#3366	2
C₃₁×#3318	2
C₃₁×#3310	2
C₃₁×#3309	2
C₃₁×#3306	2
C₃₁×#3296	2
C₃₁×#3294	2
C₃₁×#3280	2
D₄×D₈×C₃₁	2
C₃₁×#3268	2
C₃₁×#3264	2
C₃₁×#3259	2
C₃₁×#3257	2
C₃₁×#3250	2
C₃₁×#3224	2
C₃₁×#3220	2
C₃₁×#3217	2
C₃₁×#3122	2
C₃₁×#3119	2
C₃₁×#3114	2
C₃₁×#3045	2
C₃₁×#3041	2
C₂×C₃₁×#459	2
C₃₁×#2992	2
#62007	31

Subgroups — C31×#62007 #21518766

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#62007 #21518766