Subgroups — C₃₁×#61504 #21518263

Order 7936.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3524	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3519	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3399	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3368	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3351	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3347	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3347	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3326	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3325	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3321	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3318	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3310	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3309	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3274	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3265	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3179	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3176	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3171	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3126	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3122	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3119	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3118	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3115	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3114	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#2967	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#2949	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃₁×#2946	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₃₁×AGL(1,ℤ/8)	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	C₂²×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
35	C₃₁×#559	—	2	1	no	—
36	C₃₁×#559	C₂²	1	1	yes	characteristic, complemented
37	C₃₁×#557	C₂²	1	1	yes	characteristic, complemented
38	C₃₁×#555	—	2	1	no	—
39	C₃₁×#555	C₂²	1	1	yes	characteristic
40	C₃₁×#555	C₂²	1	1	yes	characteristic, complemented
41	C₃₁×#554	C₂²	1	1	yes	characteristic
42	C₃₁×#553	—	2	1	no	—
43	C₃₁×#553	—	2	1	no	—
44	C₃₁×#553	C₂²	1	1	yes	characteristic
45	C₃₁×#553	C₂²	1	1	yes	characteristic
46	C₃₁×#553	C₂²	1	1	yes	characteristic, complemented
47	C₃₁×#552	—	2	1	no	—
48	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
49	C₃₁×#550	C₂²	1	1	yes	characteristic
50	C₃₁×#550	C₂²	1	1	yes	characteristic, complemented
51	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
52	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
53	C₃₁×#546	—	2	1	no	—
54	C₃₁×#546	—	2	1	no	—
55	C₃₁×#546	—	2	1	no	—
56	D₄²×C₃₁	C₂²	1	1	yes	characteristic
57	D₄²×C₃₁	C₂²	1	1	yes	characteristic
58	D₄²×C₃₁	C₂²	1	1	yes	characteristic
59	C₃₁×#542	—	2	1	no	—
60	C₃₁×#542	C₂²	1	1	yes	characteristic, complemented
61	C₃₁×#540	—	2	1	no	—
62	C₃₁×#540	C₂²	1	1	yes	characteristic
63	C₃₁×#540	C₂²	1	1	yes	characteristic
64	C₃₁×#540	C₂²	1	1	yes	characteristic, complemented
65	C₃₁×#538	—	2	1	no	—
66	C₃₁×#538	—	2	1	no	—
67	C₃₁×#532	C₂²	1	1	yes	characteristic
68	C₃₁×#529	—	2	1	no	—
69	C₃₁×#529	—	2	1	no	—
70	C₃₁×#529	C₂²	1	1	yes	characteristic
71	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
72	C₃₁×#525	—	2	1	no	—
73	C₂×C₃₁×#121	—	2	1	no	—
74	C₃₁×#520	C₂²	1	1	yes	characteristic, complemented
75	C₃₁×#519	C₂²	1	1	yes	characteristic, complemented
76	C₃₁×#518	C₂²	1	1	yes	characteristic
77	C₃₁×#518	C₂²	1	1	yes	characteristic
78	C₄×#41×C₃₁	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
80	C₃₁×#501	C₂²	1	1	yes	characteristic, complemented
81	C₃₁×#501	C₂²	1	1	yes	characteristic, complemented
82	C₃₁×#499	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×#493	C₂²	1	1	yes	characteristic, complemented
86	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
87	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
88	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
89	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
90	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
91	C₃₁×#486	C₂²	1	1	yes	characteristic, complemented
92	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
93	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
94	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
95	C₃₁×#482	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×#482	C₂²	1	1	yes	characteristic, complemented
99	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
100	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
101	C₃₁×#481	C₂²	1	1	yes	characteristic, complemented
102	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
103	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
104	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
105	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
106	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#478	C₂²	1	1	yes	characteristic
108	C₃₁×#478	C₂²	1	1	yes	characteristic
109	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
110	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
111	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#476	C₂²	1	1	yes	characteristic
113	C₃₁×#475	C₂²	1	1	yes	characteristic, complemented
114	C₃₁×#474	C₂²	1	1	yes	characteristic, complemented
115	C₃₁×#474	C₂²	1	1	yes	characteristic, complemented
116	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
117	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
118	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
119	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
120	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
121	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
122	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
123	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
124	C₃₁×#466	C₂²	1	1	yes	characteristic, complemented
125	C₃₁×#466	C₂²	1	1	yes	characteristic, complemented
126	C₃₁×#466	C₂²	1	1	yes	characteristic, complemented
127	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
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×#460	C₂²	1	1	yes	characteristic, complemented
133	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
134	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
135	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
136	C₃₁×#459	C₂²	1	1	yes	characteristic
137	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
138	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
139	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
140	C₃₁×#450	C₂²	1	1	yes	characteristic
141	C₃₁×#450	C₂²	1	1	yes	characteristic
142	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
143	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
144	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
145	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
146	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
147	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
148	C₃₁×#447	C₂²	1	1	yes	characteristic
149	C₃₁×#447	C₂²	1	1	yes	characteristic
150	C₃₁×#447	C₂²	1	1	yes	characteristic
151	C₃₁×#447	C₂²	1	1	yes	characteristic
152	C₃₁×#446	C₂²	1	1	yes	characteristic, complemented
153	C₃₁×#446	C₂²	1	1	yes	characteristic, complemented
154	C₃₁×#442	C₂²	1	1	yes	characteristic
155	C₃₁×#442	C₂²	1	1	yes	characteristic
156	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
157	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
158	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
159	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
160	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
161	C₃₁×#440	C₂²	1	1	yes	characteristic
162	C₃₁×#440	C₂²	1	1	yes	characteristic
163	C₃₁×#440	C₂²	1	1	yes	characteristic
164	C₃₁×#440	C₂²	1	1	yes	characteristic
165	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
166	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
167	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
168	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
169	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
170	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
171	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
172	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
173	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
174	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
175	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
176	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
177	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic
178	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic
179	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
180	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
181	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
182	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
183	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
184	C₃₁×#435	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×#433	C₂²	1	1	yes	characteristic, complemented
189	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
190	C₃₁×#432	C₂²	1	1	yes	characteristic, complemented
191	C₃₁×#428	C₂²	1	1	yes	characteristic, complemented
192	C₃₁×#428	C₂²	1	1	yes	characteristic, complemented
193	C₃₁×#427	C₂²	1	1	yes	characteristic, complemented
194	C₃₁×#419	C₂²	1	1	yes	characteristic, complemented
195	C₃₁×#418	C₂²	1	1	yes	characteristic
196	C₃₁×#418	C₂²	1	1	yes	characteristic
197	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
198	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₃₁×#102	C₂²	1	1	yes	characteristic
200	C₃₁×#405	C₂²	1	1	yes	characteristic, complemented
201	C₃₁×#405	C₂²	1	1	yes	characteristic, complemented
202	C₄×M₁₆×C₃₁	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	C₂²×Q₈×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	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)	—	2	4	no	—
216	C₃₁×AGL(1,ℤ/8)	—	2	4	no	—
217	C₂×SD₁₆×C₃₁	—	2	4	no	—
218	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
224	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
227	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
228	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
229	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
230	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
231	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
232	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
233	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
234	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
235	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
236	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
237	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
238	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
240	C₃₁×C₄⋊Q₈	—	2	1	no	—
241	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₃₁×#127	—	2	1	no	—
244	C₃₁×#127	C₂³	1	1	yes	characteristic
245	C₃₁×#127	C₂³	1	1	yes	characteristic
246	C₃₁×#127	C₂³	1	1	yes	characteristic
247	C₃₁×#127	C₂³	1	1	yes	characteristic
248	C₃₁×#126	—	2	1	no	—
249	C₃₁×#126	—	2	1	no	—
250	C₃₁×#126	—	2	1	no	—
251	C₃₁×#126	—	2	1	no	—
252	C₃₁×#126	—	2	1	no	—
253	C₃₁×#126	—	2	1	no	—
254	C₃₁×#126	D₄	1	1	yes	characteristic
255	C₃₁×#126	D₄	1	1	yes	characteristic
256	C₃₁×#125	—	2	1	no	—
257	C₃₁×#125	—	2	1	no	—
258	C₃₁×#125	—	2	1	no	—
259	C₃₁×#125	D₄	1	1	yes	characteristic
260	C₃₁×#125	C₂³	1	1	yes	characteristic
261	C₃₁×#125	C₂³	1	1	yes	characteristic
262	C₃₁×#125	C₂³	1	1	yes	characteristic
263	C₃₁×#125	C₂³	1	1	yes	characteristic
264	C₃₁×#124	—	2	1	no	—
265	C₃₁×#124	—	2	1	no	—
266	C₃₁×#124	—	2	1	no	—
267	C₃₁×#124	—	2	1	no	—
268	C₃₁×#124	—	2	1	no	—
269	C₃₁×#124	—	2	1	no	—
270	C₃₁×#124	—	2	1	no	—
271	C₃₁×#124	—	2	1	no	—
272	C₃₁×#124	—	2	1	no	—
273	C₃₁×#124	D₄	1	1	yes	characteristic
274	C₃₁×#124	C₂³	1	1	yes	characteristic
275	C₃₁×#124	C₂³	1	1	yes	characteristic
276	C₃₁×#123	—	2	1	no	—
277	C₃₁×#123	—	2	1	no	—
278	C₃₁×#123	—	2	1	no	—
279	C₃₁×#123	—	2	1	no	—
280	C₃₁×#123	—	2	1	no	—
281	C₃₁×#123	—	2	1	no	—
282	C₃₁×#123	—	2	1	no	—
283	C₃₁×#123	—	2	1	no	—
284	C₃₁×#123	—	2	1	no	—
285	C₃₁×#123	—	2	1	no	—
286	C₃₁×#123	—	2	1	no	—
287	C₃₁×#123	—	2	1	no	—
288	C₃₁×#123	—	2	1	no	—
289	C₃₁×#123	—	2	1	no	—
290	C₃₁×#123	D₄	1	1	yes	characteristic
291	C₃₁×#123	D₄	1	1	yes	characteristic
292	C₃₁×C₂²⋊Q₈	—	2	1	no	—
293	C₃₁×C₂²⋊Q₈	—	2	1	no	—
294	C₃₁×C₂²⋊Q₈	—	2	1	no	—
295	C₃₁×C₂²⋊Q₈	—	2	1	no	—
296	C₃₁×C₂²⋊Q₈	—	2	1	no	—
297	C₃₁×C₂²⋊Q₈	—	2	1	no	—
298	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
299	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
300	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
301	C₃₁×#121	—	2	1	no	—
302	C₃₁×#121	—	2	1	no	—
303	C₃₁×#121	—	2	1	no	—
304	C₃₁×#121	—	2	1	no	—
305	C₃₁×#121	—	2	1	no	—
306	C₃₁×#121	—	2	1	no	—
307	C₃₁×#121	—	2	1	no	—
308	C₃₁×#121	—	2	1	no	—
309	C₃₁×#121	—	2	1	no	—
310	C₃₁×#121	—	2	1	no	—
311	C₃₁×#121	—	2	1	no	—
312	C₃₁×#121	—	2	1	no	—
313	C₃₁×#121	—	2	1	no	—
314	C₃₁×#121	—	2	1	no	—
315	C₃₁×#121	—	2	1	no	—
316	C₃₁×#121	—	2	1	no	—
317	C₃₁×#121	—	2	1	no	—
318	C₃₁×#121	—	2	1	no	—
319	C₃₁×#121	—	2	1	no	—
320	C₃₁×#121	—	2	1	no	—
321	C₃₁×#121	—	2	1	no	—
322	C₃₁×#121	—	2	1	no	—
323	C₃₁×#121	D₄	1	1	yes	characteristic
324	C₃₁×#121	C₂³	1	1	yes	characteristic
325	C₃₁×#121	C₂³	1	1	yes	characteristic
326	C₃₁×#121	C₂³	1	1	yes	characteristic
327	C₃₁×#121	C₂³	1	1	yes	characteristic
328	C₃₁×#121	C₂³	1	1	yes	characteristic
329	C₃₁×#121	C₂³	1	1	yes	characteristic
330	C₃₁×#121	C₂³	1	1	yes	characteristic
331	C₃₁×#121	C₂³	1	1	yes	characteristic
332	C₃₁×#121	C₂³	1	1	yes	characteristic
333	C₃₁×#121	C₂³	1	1	yes	characteristic
334	C₃₁×#120	—	2	1	no	—
335	C₃₁×#120	—	2	1	no	—
336	C₃₁×#120	—	2	1	no	—
337	C₃₁×#120	—	2	1	no	—
338	C₃₁×#120	—	2	1	no	—
339	C₃₁×#120	—	2	1	no	—
340	C₄×Q₈×C₃₁	—	2	1	no	—
341	C₄×Q₈×C₃₁	—	2	1	no	—
342	C₄×Q₈×C₃₁	—	2	1	no	—
343	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
347	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
350	C₄×D₄×C₃₁	—	2	1	no	—
351	C₄×D₄×C₃₁	—	2	1	no	—
352	C₄×D₄×C₃₁	—	2	1	no	—
353	C₄×D₄×C₃₁	—	2	1	no	—
354	C₄×D₄×C₃₁	—	2	1	no	—
355	C₄×D₄×C₃₁	—	2	1	no	—
356	C₄×D₄×C₃₁	—	2	1	no	—
357	C₄×D₄×C₃₁	—	2	1	no	—
358	C₄×D₄×C₃₁	—	2	1	no	—
359	C₄×D₄×C₃₁	—	2	1	no	—
360	C₄×D₄×C₃₁	—	2	1	no	—
361	C₄×D₄×C₃₁	—	2	1	no	—
362	C₄×D₄×C₃₁	—	2	1	no	—
363	C₄×D₄×C₃₁	—	2	1	no	—
364	C₄×D₄×C₃₁	—	2	1	no	—
365	C₄×D₄×C₃₁	—	2	1	no	—
366	C₄×D₄×C₃₁	—	2	1	no	—
367	C₄×D₄×C₃₁	—	2	1	no	—
368	C₄×D₄×C₃₁	—	2	1	no	—
369	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
383	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
384	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
385	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
386	C₃₁×#117	—	2	1	no	—
387	C₃₁×#117	—	2	1	no	—
388	C₃₁×#117	—	2	1	no	—
389	C₃₁×#117	—	2	1	no	—
390	C₃₁×#117	—	2	1	no	—
391	C₃₁×#117	—	2	1	no	—
392	C₃₁×#117	—	2	1	no	—
393	C₃₁×#117	—	2	1	no	—
394	C₃₁×#117	C₂³	1	1	yes	characteristic
395	C₃₁×#117	C₂³	1	1	yes	characteristic
396	C₃₁×#117	C₂³	1	1	yes	characteristic
397	C₃₁×#117	C₂³	1	1	yes	characteristic
398	C₃₁×#117	C₂³	1	1	yes	characteristic
399	C₃₁×#117	C₂³	1	1	yes	characteristic
400	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
401	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
402	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
404	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
405	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
406	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
407	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
408	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
409	C₂×C₄²×C₃₁	—	2	1	no	—
410	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
411	C₃₁×#107	C₂³	1	1	yes	characteristic
412	C₃₁×#107	C₂³	1	1	yes	characteristic
413	C₃₁×#107	C₂³	1	1	yes	characteristic
414	C₃₁×#107	C₂³	1	1	yes	characteristic
415	C₃₁×#107	C₂³	1	1	yes	characteristic
416	C₃₁×#107	C₂³	1	1	yes	characteristic
417	C₃₁×#107	C₂³	1	1	yes	characteristic
418	C₃₁×#107	C₂³	1	1	yes	characteristic
419	C₃₁×#106	C₂³	1	1	yes	characteristic
420	C₃₁×#106	C₂³	1	1	yes	characteristic
421	C₃₁×#106	C₂³	1	1	yes	characteristic
422	C₃₁×#106	C₂³	1	1	yes	characteristic
423	C₃₁×#106	C₂³	1	1	yes	characteristic
424	C₃₁×#106	C₂³	1	1	yes	characteristic
425	C₃₁×#106	C₂³	1	1	yes	characteristic
426	C₃₁×#106	C₂³	1	1	yes	characteristic
427	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₃₁×C₄⋊C₈	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×#103	C₂³	1	1	yes	characteristic
434	C₃₁×#103	C₂³	1	1	yes	characteristic
435	C₃₁×#103	C₂³	1	1	yes	characteristic
436	C₃₁×#103	C₂³	1	1	yes	characteristic
437	C₃₁×#103	C₂³	1	1	yes	characteristic
438	C₃₁×#103	C₂³	1	1	yes	characteristic
439	C₃₁×#103	C₂³	1	1	yes	characteristic
440	C₃₁×#103	C₂³	1	1	yes	characteristic
441	C₃₁×#102	C₂³	1	1	yes	characteristic
442	C₃₁×#102	C₂³	1	1	yes	characteristic
443	C₃₁×#102	C₂³	1	1	yes	characteristic
444	C₃₁×#102	C₂³	1	1	yes	characteristic
445	C₃₁×#102	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₃₁×#97	C₂³	1	1	yes	characteristic
472	C₃₁×#97	C₂³	1	1	yes	characteristic
473	C₃₁×#97	C₂³	1	1	yes	characteristic
474	C₃₁×#97	C₂³	1	1	yes	characteristic
475	C₃₁×#97	C₂³	1	1	yes	characteristic
476	C₃₁×#97	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
478	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
479	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
481	C₂⁴×C₃₁	—	2	1	no	—
482	C₂⁴×C₃₁	—	2	1	no	—
483	C₂⁴×C₃₁	—	2	1	no	—
484	#41×C₃₁	—	2	2	no	—
485	#41×C₃₁	—	2	2	no	—
486	#41×C₃₁	—	4	1	no	—
487	#41×C₃₁	—	4	1	no	—
488	#41×C₃₁	—	8	2	no	—
489	#41×C₃₁	—	8	2	no	—
490	C₂×Q₈×C₃₁	—	2	1	no	—
491	C₂×Q₈×C₃₁	—	2	1	no	—
492	C₂×Q₈×C₃₁	—	2	1	no	—
493	C₂×Q₈×C₃₁	—	2	2	no	—
494	C₂×Q₈×C₃₁	—	4	1	no	—
495	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
496	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₃₁	—	2	2	no	—
499	C₂×D₄×C₃₁	—	2	2	no	—
500	C₂×D₄×C₃₁	—	2	2	no	—
501	C₂×D₄×C₃₁	—	2	1	no	—
502	C₂×D₄×C₃₁	—	2	1	no	—
503	C₂×D₄×C₃₁	—	2	1	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	—	4	1	no	—
525	C₂×D₄×C₃₁	—	4	1	no	—
526	C₂×D₄×C₃₁	—	4	1	no	—
527	C₂×D₄×C₃₁	—	8	2	no	—
528	C₂×D₄×C₃₁	—	8	2	no	—
529	C₂×D₄×C₃₁	—	8	2	no	—
530	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
531	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
532	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
533	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
534	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
535	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
536	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
537	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
538	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₃₁	—	2	1	no	—
540	C₂²×C₄×C₃₁	—	2	1	no	—
541	C₂²×C₄×C₃₁	—	2	1	no	—
542	C₂²×C₄×C₃₁	—	2	1	no	—
543	C₂²×C₄×C₃₁	—	2	1	no	—
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	—	8	2	no	—
559	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
560	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
561	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
564	SD₁₆×C₃₁	—	2	2	no	—
565	SD₁₆×C₃₁	—	2	2	no	—
566	SD₁₆×C₃₁	—	2	2	no	—
567	SD₁₆×C₃₁	—	2	2	no	—
568	SD₁₆×C₃₁	—	2	2	no	—
569	SD₁₆×C₃₁	—	4	1	no	—
570	SD₁₆×C₃₁	—	4	1	no	—
571	SD₁₆×C₃₁	#41	1	4	yes	complemented
572	D₈×C₃₁	—	2	2	no	—
573	D₈×C₃₁	—	2	2	no	—
574	D₈×C₃₁	—	2	2	no	—
575	D₈×C₃₁	—	2	2	no	—
576	D₈×C₃₁	—	4	1	no	—
577	D₈×C₃₁	—	4	1	no	—
578	D₈×C₃₁	—	4	1	no	—
579	D₈×C₃₁	—	4	1	no	—
580	M₁₆×C₃₁	—	2	2	no	—
581	M₁₆×C₃₁	—	2	2	no	—
582	M₁₆×C₃₁	—	4	1	no	—
583	M₁₆×C₃₁	—	4	1	no	—
584	C₂×C₈×C₃₁	—	2	2	no	—
585	C₂×C₈×C₃₁	—	4	1	no	—
586	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
587	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
588	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
589	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
590	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
591	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
592	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
593	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
594	C₄⋊C₄×C₃₁	—	2	1	no	—
595	C₄⋊C₄×C₃₁	—	2	1	no	—
596	C₄⋊C₄×C₃₁	—	2	1	no	—
597	C₄⋊C₄×C₃₁	—	2	1	no	—
598	C₄⋊C₄×C₃₁	—	2	1	no	—
599	C₄⋊C₄×C₃₁	—	2	1	no	—
600	C₄⋊C₄×C₃₁	—	2	1	no	—
601	C₄⋊C₄×C₃₁	—	2	1	no	—
602	C₄⋊C₄×C₃₁	—	2	1	no	—
603	C₄⋊C₄×C₃₁	—	2	1	no	—
604	C₄⋊C₄×C₃₁	—	2	1	no	—
605	C₄⋊C₄×C₃₁	—	2	1	no	—
606	C₄⋊C₄×C₃₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
615	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
616	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
617	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
618	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
619	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
620	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
621	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
622	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
623	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
624	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
625	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
626	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
627	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
628	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
629	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
630	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
631	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
632	C₂²⋊C₄×C₃₁	—	2	1	no	—
633	C₂²⋊C₄×C₃₁	—	2	1	no	—
634	C₂²⋊C₄×C₃₁	—	2	1	no	—
635	C₂²⋊C₄×C₃₁	—	2	1	no	—
636	C₂²⋊C₄×C₃₁	—	2	1	no	—
637	C₂²⋊C₄×C₃₁	—	2	1	no	—
638	C₂²⋊C₄×C₃₁	—	2	1	no	—
639	C₂²⋊C₄×C₃₁	—	2	1	no	—
640	C₂²⋊C₄×C₃₁	—	2	1	no	—
641	C₂²⋊C₄×C₃₁	—	2	1	no	—
642	C₂²⋊C₄×C₃₁	—	2	1	no	—
643	C₂²⋊C₄×C₃₁	—	2	1	no	—
644	C₂²⋊C₄×C₃₁	—	2	1	no	—
645	C₂²⋊C₄×C₃₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
667	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
668	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
669	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
670	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
671	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
672	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
673	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
674	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
675	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
676	C₄²×C₃₁	—	2	1	no	—
677	C₄²×C₃₁	—	2	1	no	—
678	C₄²×C₃₁	—	2	1	no	—
679	C₄²×C₃₁	—	2	1	no	—
680	C₄²×C₃₁	—	2	1	no	—
681	C₄²×C₃₁	—	2	1	no	—
682	C₄²×C₃₁	—	2	1	no	—
683	C₄²×C₃₁	—	2	1	no	—
684	C₄²×C₃₁	—	2	1	no	—
685	C₄²×C₃₁	—	2	1	no	—
686	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
687	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
688	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
689	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
690	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
691	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
692	#61504	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
693	C₂³×C₃₁	—	2	1	no	—
694	C₂³×C₃₁	—	2	1	no	—
695	C₂³×C₃₁	—	2	1	no	—
696	C₂³×C₃₁	—	2	1	no	—
697	C₂³×C₃₁	—	2	1	no	—
698	C₂³×C₃₁	—	2	1	no	—
699	C₂³×C₃₁	—	4	2	no	—
700	C₂³×C₃₁	—	4	2	no	—
701	C₂³×C₃₁	—	4	2	no	—
702	C₂³×C₃₁	—	4	2	no	—
703	C₂³×C₃₁	—	8	1	no	—
704	C₂³×C₃₁	—	8	1	no	—
705	C₂³×C₃₁	—	8	1	no	—
706	C₂³×C₃₁	—	8	1	no	—
707	C₂³×C₃₁	—	8	1	no	—
708	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
709	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
710	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
711	Q₈×C₃₁	—	2	1	no	—
712	Q₈×C₃₁	—	2	1	no	—
713	Q₈×C₃₁	—	2	1	no	—
714	Q₈×C₃₁	—	4	1	no	—
715	Q₈×C₃₁	—	4	2	no	—
716	Q₈×C₃₁	—	8	1	no	—
717	Q₈×C₃₁	—	8	1	no	—
718	Q₈×C₃₁	C₂×#41	1	2	yes	—
719	D₄×C₃₁	—	2	1	no	—
720	D₄×C₃₁	—	2	1	no	—
721	D₄×C₃₁	—	2	1	no	—
722	D₄×C₃₁	—	2	1	no	—
723	D₄×C₃₁	—	2	1	no	—
724	D₄×C₃₁	—	2	1	no	—
725	D₄×C₃₁	—	2	1	no	—
726	D₄×C₃₁	—	2	1	no	—
727	D₄×C₃₁	—	2	1	no	—
728	D₄×C₃₁	—	2	1	no	—
729	D₄×C₃₁	—	2	1	no	—
730	D₄×C₃₁	—	4	1	no	—
731	D₄×C₃₁	—	4	1	no	—
732	D₄×C₃₁	—	4	1	no	—
733	D₄×C₃₁	—	4	2	no	—
734	D₄×C₃₁	—	4	2	no	—
735	D₄×C₃₁	—	4	2	no	—
736	D₄×C₃₁	—	4	2	no	—
737	D₄×C₃₁	—	4	2	no	—
738	D₄×C₃₁	—	4	2	no	—
739	D₄×C₃₁	—	4	2	no	—
740	D₄×C₃₁	—	4	2	no	—
741	D₄×C₃₁	—	8	1	no	—
742	D₄×C₃₁	—	8	1	no	—
743	D₄×C₃₁	—	8	1	no	—
744	D₄×C₃₁	—	8	1	no	—
745	D₄×C₃₁	—	8	1	no	—
746	D₄×C₃₁	—	8	1	no	—
747	D₄×C₃₁	—	8	1	no	—
748	D₄×C₃₁	—	8	1	no	—
749	D₄×C₃₁	—	8	1	no	—
750	D₄×C₃₁	—	8	1	no	—
751	D₄×C₃₁	—	8	1	no	—
752	D₄×C₃₁	—	8	1	no	—
753	D₄×C₃₁	—	8	1	no	—
754	D₄×C₃₁	—	8	1	no	—
755	D₄×C₃₁	—	8	1	no	—
756	D₄×C₃₁	C₂×#41	1	2	yes	—
757	C₂×C₄×C₃₁	—	2	1	no	—
758	C₂×C₄×C₃₁	—	2	1	no	—
759	C₂×C₄×C₃₁	—	2	1	no	—
760	C₂×C₄×C₃₁	—	2	1	no	—
761	C₂×C₄×C₃₁	—	2	1	no	—
762	C₂×C₄×C₃₁	—	2	1	no	—
763	C₂×C₄×C₃₁	—	2	1	no	—
764	C₂×C₄×C₃₁	—	2	1	no	—
765	C₂×C₄×C₃₁	—	2	1	no	—
766	C₂×C₄×C₃₁	—	2	1	no	—
767	C₂×C₄×C₃₁	—	2	1	no	—
768	C₂×C₄×C₃₁	—	2	1	no	—
769	C₂×C₄×C₃₁	—	2	1	no	—
770	C₂×C₄×C₃₁	—	2	1	no	—
771	C₂×C₄×C₃₁	—	2	1	no	—
772	C₂×C₄×C₃₁	—	2	1	no	—
773	C₂×C₄×C₃₁	—	4	1	no	—
774	C₂×C₄×C₃₁	—	4	1	no	—
775	C₂×C₄×C₃₁	—	4	2	no	—
776	C₂×C₄×C₃₁	—	4	2	no	—
777	C₂×C₄×C₃₁	—	4	2	no	—
778	C₂×C₄×C₃₁	—	4	2	no	—
779	C₂×C₄×C₃₁	—	4	2	no	—
780	C₂×C₄×C₃₁	—	8	1	no	—
781	C₂×C₄×C₃₁	—	8	1	no	—
782	C₂×C₄×C₃₁	—	8	1	no	—
783	C₂×C₄×C₃₁	—	8	1	no	—
784	C₂×C₄×C₃₁	—	8	1	no	—
785	C₂×C₄×C₃₁	—	8	1	no	—
786	C₂×C₄×C₃₁	—	8	1	no	—
787	C₂×C₄×C₃₁	—	8	1	no	—
788	C₂×C₄×C₃₁	—	8	1	no	—
789	C₂×C₄×C₃₁	—	8	1	no	—
790	C₂×C₄×C₃₁	—	8	1	no	—
791	C₂×C₄×C₃₁	—	8	1	no	—
792	C₂×C₄×C₃₁	—	8	1	no	—
793	C₂×C₄×C₃₁	—	8	1	no	—
794	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
801	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
802	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
803	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
804	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
805	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
806	C₈×C₃₁	—	2	1	no	—
807	C₈×C₃₁	—	2	1	no	—
808	C₈×C₃₁	—	2	1	no	—
809	C₈×C₃₁	—	2	1	no	—
810	C₈×C₃₁	—	2	1	no	—
811	C₈×C₃₁	—	2	1	no	—
812	C₈×C₃₁	—	2	1	no	—
813	C₈×C₃₁	C₂×#41	1	2	yes	—
814	#3524	C₂×C₃₁	1	1	yes	characteristic, complemented
815	#3519	C₂×C₃₁	1	1	yes	characteristic, complemented
816	#3399	C₂×C₃₁	1	1	yes	characteristic, complemented
817	#3388	C₂×C₃₁	1	1	yes	characteristic, complemented
818	#3370	C₂×C₃₁	1	1	yes	characteristic, complemented
819	#3368	C₂×C₃₁	1	1	yes	characteristic, complemented
820	#3351	C₂×C₃₁	1	1	yes	characteristic, complemented
821	#3347	C₂×C₃₁	1	1	yes	characteristic, complemented
822	#3347	C₂×C₃₁	1	1	yes	characteristic, complemented
823	#3326	C₂×C₃₁	1	1	yes	characteristic, complemented
824	#3325	C₂×C₃₁	1	1	yes	characteristic, complemented
825	#3321	C₂×C₃₁	1	1	yes	characteristic, complemented
826	#3318	C₂×C₃₁	1	1	yes	characteristic, complemented
827	#3310	C₂×C₃₁	1	1	yes	characteristic, complemented
828	#3309	C₂×C₃₁	1	1	yes	characteristic, complemented
829	#3274	C₂×C₃₁	1	1	yes	characteristic, complemented
830	#3265	C₂×C₃₁	1	1	yes	characteristic, complemented
831	#3265	C₂×C₃₁	1	1	yes	characteristic, complemented
832	#3179	C₂×C₃₁	1	1	yes	characteristic, complemented
833	#3176	C₂×C₃₁	1	1	yes	characteristic, complemented
834	#3171	C₂×C₃₁	1	1	yes	characteristic, complemented
835	#3126	C₂×C₃₁	1	1	yes	characteristic, complemented
836	#3122	C₂×C₃₁	1	1	yes	characteristic, complemented
837	#3119	C₂×C₃₁	1	1	yes	characteristic, complemented
838	#3118	C₂×C₃₁	1	1	yes	characteristic, complemented
839	#3115	C₂×C₃₁	1	1	yes	characteristic, complemented
840	#3114	C₂×C₃₁	1	1	yes	characteristic, complemented
841	#2967	C₂×C₃₁	1	1	yes	characteristic, complemented
842	#2949	C₂×C₃₁	1	1	yes	characteristic, complemented
843	#2946	C₂×C₃₁	1	1	yes	characteristic, complemented
844	C₄×AGL(1,ℤ/8)	C₂×C₃₁	1	1	yes	characteristic, complemented
845	C₂²×C₃₁	—	2	1	no	—
846	C₂²×C₃₁	—	2	1	no	—
847	C₂²×C₃₁	—	2	1	no	—
848	C₂²×C₃₁	—	2	1	no	—
849	C₂²×C₃₁	—	2	1	no	—
850	C₂²×C₃₁	—	2	1	no	—
851	C₂²×C₃₁	—	2	1	no	—
852	C₂²×C₃₁	—	2	1	no	—
853	C₂²×C₃₁	—	2	1	no	—
854	C₂²×C₃₁	—	2	2	no	—
855	C₂²×C₃₁	—	4	1	no	—
856	C₂²×C₃₁	—	4	1	no	—
857	C₂²×C₃₁	—	4	1	no	—
858	C₂²×C₃₁	—	4	1	no	—
859	C₂²×C₃₁	—	4	1	no	—
860	C₂²×C₃₁	—	4	1	no	—
861	C₂²×C₃₁	—	4	1	no	—
862	C₂²×C₃₁	—	4	1	no	—
863	C₂²×C₃₁	—	4	1	no	—
864	C₂²×C₃₁	—	4	1	no	—
865	C₂²×C₃₁	—	4	1	no	—
866	C₂²×C₃₁	—	4	1	no	—
867	C₂²×C₃₁	—	4	1	no	—
868	C₂²×C₃₁	—	4	1	no	—
869	C₂²×C₃₁	—	4	1	no	—
870	C₂²×C₃₁	—	4	1	no	—
871	C₂²×C₃₁	—	4	1	no	—
872	C₂²×C₃₁	—	8	4	no	—
873	C₂²×C₃₁	—	16	2	no	—
874	C₂²×C₃₁	—	16	2	no	—
875	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
876	C₄×C₃₁	—	2	1	no	—
877	C₄×C₃₁	—	2	1	no	—
878	C₄×C₃₁	—	2	1	no	—
879	C₄×C₃₁	—	2	1	no	—
880	C₄×C₃₁	—	2	1	no	—
881	C₄×C₃₁	—	2	1	no	—
882	C₄×C₃₁	—	2	1	no	—
883	C₄×C₃₁	—	2	1	no	—
884	C₄×C₃₁	—	2	1	no	—
885	C₄×C₃₁	—	2	1	no	—
886	C₄×C₃₁	—	2	1	no	—
887	C₄×C₃₁	—	2	2	no	—
888	C₄×C₃₁	—	4	1	no	—
889	C₄×C₃₁	—	4	1	no	—
890	C₄×C₃₁	—	4	1	no	—
891	C₄×C₃₁	—	4	1	no	—
892	C₄×C₃₁	—	4	1	no	—
893	C₄×C₃₁	—	4	1	no	—
894	C₄×C₃₁	—	4	1	no	—
895	C₄×C₃₁	—	4	1	no	—
896	C₄×C₃₁	—	4	1	no	—
897	C₄×C₃₁	C₂²×#41	1	1	yes	characteristic
898	C₄×C₃₁	#585	1	1	yes	characteristic
899	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic
900	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic
901	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
902	#559	—	2	1	no	—
903	#559	C₂²×C₃₁	1	1	yes	characteristic, complemented
904	#557	C₂²×C₃₁	1	1	yes	characteristic, complemented
905	#555	—	2	1	no	—
906	#555	C₂²×C₃₁	1	1	yes	characteristic
907	#555	C₂²×C₃₁	1	1	yes	characteristic, complemented
908	#554	C₂²×C₃₁	1	1	yes	characteristic
909	#553	—	2	1	no	—
910	#553	—	2	1	no	—
911	#553	C₂²×C₃₁	1	1	yes	characteristic
912	#553	C₂²×C₃₁	1	1	yes	characteristic
913	#553	C₂²×C₃₁	1	1	yes	characteristic, complemented
914	#552	—	2	1	no	—
915	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
916	#550	C₂²×C₃₁	1	1	yes	characteristic
917	#550	C₂²×C₃₁	1	1	yes	characteristic, complemented
918	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
919	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
920	#546	—	2	1	no	—
921	#546	—	2	1	no	—
922	#546	—	2	1	no	—
923	D₄²	C₂²×C₃₁	1	1	yes	characteristic
924	D₄²	C₂²×C₃₁	1	1	yes	characteristic
925	D₄²	C₂²×C₃₁	1	1	yes	characteristic
926	#542	—	2	1	no	—
927	#542	C₂²×C₃₁	1	1	yes	characteristic, complemented
928	#540	—	2	1	no	—
929	#540	C₂²×C₃₁	1	1	yes	characteristic
930	#540	C₂²×C₃₁	1	1	yes	characteristic
931	#540	C₂²×C₃₁	1	1	yes	characteristic, complemented
932	#538	—	2	1	no	—
933	#538	—	2	1	no	—
934	#532	C₂²×C₃₁	1	1	yes	characteristic
935	#529	—	2	1	no	—
936	#529	—	2	1	no	—
937	#529	C₂²×C₃₁	1	1	yes	characteristic
938	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
939	#525	—	2	1	no	—
940	C₂×#121	—	2	1	no	—
941	#520	C₂²×C₃₁	1	1	yes	characteristic, complemented
942	#519	C₂²×C₃₁	1	1	yes	characteristic, complemented
943	#518	C₂²×C₃₁	1	1	yes	characteristic
944	#518	C₂²×C₃₁	1	1	yes	characteristic
945	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic, complemented
946	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
947	#501	C₂²×C₃₁	1	1	yes	characteristic, complemented
948	#501	C₂²×C₃₁	1	1	yes	characteristic, complemented
949	#499	C₂²×C₃₁	1	1	yes	characteristic, complemented
950	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
951	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
952	#493	C₂²×C₃₁	1	1	yes	characteristic, complemented
953	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
954	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
955	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
956	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
957	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
958	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
959	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
960	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
961	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
962	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
963	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
964	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
965	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
966	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
967	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
968	#481	C₂²×C₃₁	1	1	yes	characteristic, complemented
969	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
970	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
971	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
972	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
973	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
974	#478	C₂²×C₃₁	1	1	yes	characteristic
975	#478	C₂²×C₃₁	1	1	yes	characteristic
976	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
977	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
978	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
979	#476	C₂²×C₃₁	1	1	yes	characteristic
980	#475	C₂²×C₃₁	1	1	yes	characteristic, complemented
981	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
982	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
983	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
984	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
985	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
986	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
987	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
988	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
989	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
990	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
991	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
992	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
993	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
995	#463	C₂²×C₃₁	1	1	yes	characteristic
996	#463	C₂²×C₃₁	1	1	yes	characteristic
997	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
998	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
999	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1000	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1001	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1002	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1003	#459	C₂²×C₃₁	1	1	yes	characteristic
1004	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1005	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1006	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1007	#450	C₂²×C₃₁	1	1	yes	characteristic
1008	#450	C₂²×C₃₁	1	1	yes	characteristic
1009	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1010	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1011	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1012	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1013	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1014	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1015	#447	C₂²×C₃₁	1	1	yes	characteristic
1016	#447	C₂²×C₃₁	1	1	yes	characteristic
1017	#447	C₂²×C₃₁	1	1	yes	characteristic
1018	#447	C₂²×C₃₁	1	1	yes	characteristic
1019	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1020	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1021	#442	C₂²×C₃₁	1	1	yes	characteristic
1022	#442	C₂²×C₃₁	1	1	yes	characteristic
1023	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1027	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1028	#440	C₂²×C₃₁	1	1	yes	characteristic
1029	#440	C₂²×C₃₁	1	1	yes	characteristic
1030	#440	C₂²×C₃₁	1	1	yes	characteristic
1031	#440	C₂²×C₃₁	1	1	yes	characteristic
1032	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1033	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1034	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1035	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1036	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1037	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1038	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1039	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1040	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1041	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1042	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1043	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1044	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic
1045	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic
1046	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1048	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1049	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1050	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1051	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1052	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1053	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1054	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1055	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1056	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1057	#432	C₂²×C₃₁	1	1	yes	characteristic, complemented
1058	#428	C₂²×C₃₁	1	1	yes	characteristic, complemented
1059	#428	C₂²×C₃₁	1	1	yes	characteristic, complemented
1060	#427	C₂²×C₃₁	1	1	yes	characteristic, complemented
1061	#419	C₂²×C₃₁	1	1	yes	characteristic, complemented
1062	#418	C₂²×C₃₁	1	1	yes	characteristic
1063	#418	C₂²×C₃₁	1	1	yes	characteristic
1064	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1065	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1066	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic
1067	#405	C₂²×C₃₁	1	1	yes	characteristic, complemented
1068	#405	C₂²×C₃₁	1	1	yes	characteristic, complemented
1069	C₄×M₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1070	C₂×C₃₁	—	4	1	no	—
1071	C₂×C₃₁	—	4	1	no	—
1072	C₂×C₃₁	—	4	1	no	—
1073	C₂×C₃₁	—	4	2	no	—
1074	C₂×C₃₁	—	8	1	no	—
1075	C₂×C₃₁	—	8	1	no	—
1076	C₂×C₃₁	—	8	1	no	—
1077	C₂×C₃₁	—	8	1	no	—
1078	C₂×C₃₁	—	8	1	no	—
1079	C₂×C₃₁	D₄×#41	1	1	yes	characteristic
1080	C₂×C₃₁	#3585	1	1	yes	characteristic
1081	C₂×C₃₁	#3585	1	1	yes	characteristic
1082	C₂×#41	—	2	1	no	—
1083	C₂×#41	—	2	1	no	—
1084	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1085	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1086	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1087	C₂²×D₄	—	2	1	no	—
1088	C₂²×D₄	—	2	1	no	—
1089	C₂²×D₄	—	2	1	no	—
1090	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1091	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1092	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1093	C₂³×C₄	—	2	1	no	—
1094	AGL(1,ℤ/8)	—	2	4	no	—
1095	AGL(1,ℤ/8)	—	2	4	no	—
1096	C₂×SD₁₆	—	2	4	no	—
1097	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1098	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1099	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1100	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1101	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1102	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1103	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1104	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1105	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1106	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1107	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1108	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1109	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1110	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1111	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1112	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1113	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1114	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1115	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1116	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1117	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1118	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1119	C₄⋊Q₈	—	2	1	no	—
1120	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1121	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1122	#127	—	2	1	no	—
1123	#127	C₂³×C₃₁	1	1	yes	characteristic
1124	#127	C₂³×C₃₁	1	1	yes	characteristic
1125	#127	C₂³×C₃₁	1	1	yes	characteristic
1126	#127	C₂³×C₃₁	1	1	yes	characteristic
1127	#126	—	2	1	no	—
1128	#126	—	2	1	no	—
1129	#126	—	2	1	no	—
1130	#126	—	2	1	no	—
1131	#126	—	2	1	no	—
1132	#126	—	2	1	no	—
1133	#126	D₄×C₃₁	1	1	yes	characteristic
1134	#126	D₄×C₃₁	1	1	yes	characteristic
1135	#125	—	2	1	no	—
1136	#125	—	2	1	no	—
1137	#125	—	2	1	no	—
1138	#125	D₄×C₃₁	1	1	yes	characteristic
1139	#125	C₂³×C₃₁	1	1	yes	characteristic
1140	#125	C₂³×C₃₁	1	1	yes	characteristic
1141	#125	C₂³×C₃₁	1	1	yes	characteristic
1142	#125	C₂³×C₃₁	1	1	yes	characteristic
1143	#124	—	2	1	no	—
1144	#124	—	2	1	no	—
1145	#124	—	2	1	no	—
1146	#124	—	2	1	no	—
1147	#124	—	2	1	no	—
1148	#124	—	2	1	no	—
1149	#124	—	2	1	no	—
1150	#124	—	2	1	no	—
1151	#124	—	2	1	no	—
1152	#124	D₄×C₃₁	1	1	yes	characteristic
1153	#124	C₂³×C₃₁	1	1	yes	characteristic
1154	#124	C₂³×C₃₁	1	1	yes	characteristic
1155	#123	—	2	1	no	—
1156	#123	—	2	1	no	—
1157	#123	—	2	1	no	—
1158	#123	—	2	1	no	—
1159	#123	—	2	1	no	—
1160	#123	—	2	1	no	—
1161	#123	—	2	1	no	—
1162	#123	—	2	1	no	—
1163	#123	—	2	1	no	—
1164	#123	—	2	1	no	—
1165	#123	—	2	1	no	—
1166	#123	—	2	1	no	—
1167	#123	—	2	1	no	—
1168	#123	—	2	1	no	—
1169	#123	D₄×C₃₁	1	1	yes	characteristic
1170	#123	D₄×C₃₁	1	1	yes	characteristic
1171	C₂²⋊Q₈	—	2	1	no	—
1172	C₂²⋊Q₈	—	2	1	no	—
1173	C₂²⋊Q₈	—	2	1	no	—
1174	C₂²⋊Q₈	—	2	1	no	—
1175	C₂²⋊Q₈	—	2	1	no	—
1176	C₂²⋊Q₈	—	2	1	no	—
1177	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1178	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1179	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1180	#121	—	2	1	no	—
1181	#121	—	2	1	no	—
1182	#121	—	2	1	no	—
1183	#121	—	2	1	no	—
1184	#121	—	2	1	no	—
1185	#121	—	2	1	no	—
1186	#121	—	2	1	no	—
1187	#121	—	2	1	no	—
1188	#121	—	2	1	no	—
1189	#121	—	2	1	no	—
1190	#121	—	2	1	no	—
1191	#121	—	2	1	no	—
1192	#121	—	2	1	no	—
1193	#121	—	2	1	no	—
1194	#121	—	2	1	no	—
1195	#121	—	2	1	no	—
1196	#121	—	2	1	no	—
1197	#121	—	2	1	no	—
1198	#121	—	2	1	no	—
1199	#121	—	2	1	no	—
1200	#121	—	2	1	no	—
1201	#121	—	2	1	no	—
1202	#121	D₄×C₃₁	1	1	yes	characteristic
1203	#121	C₂³×C₃₁	1	1	yes	characteristic
1204	#121	C₂³×C₃₁	1	1	yes	characteristic
1205	#121	C₂³×C₃₁	1	1	yes	characteristic
1206	#121	C₂³×C₃₁	1	1	yes	characteristic
1207	#121	C₂³×C₃₁	1	1	yes	characteristic
1208	#121	C₂³×C₃₁	1	1	yes	characteristic
1209	#121	C₂³×C₃₁	1	1	yes	characteristic
1210	#121	C₂³×C₃₁	1	1	yes	characteristic
1211	#121	C₂³×C₃₁	1	1	yes	characteristic
1212	#121	C₂³×C₃₁	1	1	yes	characteristic
1213	#120	—	2	1	no	—
1214	#120	—	2	1	no	—
1215	#120	—	2	1	no	—
1216	#120	—	2	1	no	—
1217	#120	—	2	1	no	—
1218	#120	—	2	1	no	—
1219	C₄×Q₈	—	2	1	no	—
1220	C₄×Q₈	—	2	1	no	—
1221	C₄×Q₈	—	2	1	no	—
1222	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1223	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1224	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1225	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1226	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1227	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1228	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1229	C₄×D₄	—	2	1	no	—
1230	C₄×D₄	—	2	1	no	—
1231	C₄×D₄	—	2	1	no	—
1232	C₄×D₄	—	2	1	no	—
1233	C₄×D₄	—	2	1	no	—
1234	C₄×D₄	—	2	1	no	—
1235	C₄×D₄	—	2	1	no	—
1236	C₄×D₄	—	2	1	no	—
1237	C₄×D₄	—	2	1	no	—
1238	C₄×D₄	—	2	1	no	—
1239	C₄×D₄	—	2	1	no	—
1240	C₄×D₄	—	2	1	no	—
1241	C₄×D₄	—	2	1	no	—
1242	C₄×D₄	—	2	1	no	—
1243	C₄×D₄	—	2	1	no	—
1244	C₄×D₄	—	2	1	no	—
1245	C₄×D₄	—	2	1	no	—
1246	C₄×D₄	—	2	1	no	—
1247	C₄×D₄	—	2	1	no	—
1248	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1249	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1250	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1251	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1252	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1253	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1254	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1255	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1256	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1257	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1258	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1259	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1260	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1261	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1262	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1263	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1264	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1265	#117	—	2	1	no	—
1266	#117	—	2	1	no	—
1267	#117	—	2	1	no	—
1268	#117	—	2	1	no	—
1269	#117	—	2	1	no	—
1270	#117	—	2	1	no	—
1271	#117	—	2	1	no	—
1272	#117	—	2	1	no	—
1273	#117	C₂³×C₃₁	1	1	yes	characteristic
1274	#117	C₂³×C₃₁	1	1	yes	characteristic
1275	#117	C₂³×C₃₁	1	1	yes	characteristic
1276	#117	C₂³×C₃₁	1	1	yes	characteristic
1277	#117	C₂³×C₃₁	1	1	yes	characteristic
1278	#117	C₂³×C₃₁	1	1	yes	characteristic
1279	C₂×C₄⋊C₄	—	2	1	no	—
1280	C₂×C₄⋊C₄	—	2	1	no	—
1281	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1282	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1283	C₂×C₂²⋊C₄	—	2	1	no	—
1284	C₂×C₂²⋊C₄	—	2	1	no	—
1285	C₂×C₂²⋊C₄	—	2	1	no	—
1286	C₂×C₂²⋊C₄	—	2	1	no	—
1287	C₂×C₂²⋊C₄	—	2	1	no	—
1288	C₂×C₄²	—	2	1	no	—
1289	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1290	#107	C₂³×C₃₁	1	1	yes	characteristic
1291	#107	C₂³×C₃₁	1	1	yes	characteristic
1292	#107	C₂³×C₃₁	1	1	yes	characteristic
1293	#107	C₂³×C₃₁	1	1	yes	characteristic
1294	#107	C₂³×C₃₁	1	1	yes	characteristic
1295	#107	C₂³×C₃₁	1	1	yes	characteristic
1296	#107	C₂³×C₃₁	1	1	yes	characteristic
1297	#107	C₂³×C₃₁	1	1	yes	characteristic
1298	#106	C₂³×C₃₁	1	1	yes	characteristic
1299	#106	C₂³×C₃₁	1	1	yes	characteristic
1300	#106	C₂³×C₃₁	1	1	yes	characteristic
1301	#106	C₂³×C₃₁	1	1	yes	characteristic
1302	#106	C₂³×C₃₁	1	1	yes	characteristic
1303	#106	C₂³×C₃₁	1	1	yes	characteristic
1304	#106	C₂³×C₃₁	1	1	yes	characteristic
1305	#106	C₂³×C₃₁	1	1	yes	characteristic
1306	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1307	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1308	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1309	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1310	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1311	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1312	#103	C₂³×C₃₁	1	1	yes	characteristic
1313	#103	C₂³×C₃₁	1	1	yes	characteristic
1314	#103	C₂³×C₃₁	1	1	yes	characteristic
1315	#103	C₂³×C₃₁	1	1	yes	characteristic
1316	#103	C₂³×C₃₁	1	1	yes	characteristic
1317	#103	C₂³×C₃₁	1	1	yes	characteristic
1318	#103	C₂³×C₃₁	1	1	yes	characteristic
1319	#103	C₂³×C₃₁	1	1	yes	characteristic
1320	#102	C₂³×C₃₁	1	1	yes	characteristic
1321	#102	C₂³×C₃₁	1	1	yes	characteristic
1322	#102	C₂³×C₃₁	1	1	yes	characteristic
1323	#102	C₂³×C₃₁	1	1	yes	characteristic
1324	#102	C₂³×C₃₁	1	1	yes	characteristic
1325	#102	C₂³×C₃₁	1	1	yes	characteristic
1326	#102	C₂³×C₃₁	1	1	yes	characteristic
1327	#102	C₂³×C₃₁	1	1	yes	characteristic
1328	#102	C₂³×C₃₁	1	1	yes	characteristic
1329	#102	C₂³×C₃₁	1	1	yes	characteristic
1330	#102	C₂³×C₃₁	1	1	yes	characteristic
1331	#102	C₂³×C₃₁	1	1	yes	characteristic
1332	#102	C₂³×C₃₁	1	1	yes	characteristic
1333	#102	C₂³×C₃₁	1	1	yes	characteristic
1334	#102	C₂³×C₃₁	1	1	yes	characteristic
1335	#102	C₂³×C₃₁	1	1	yes	characteristic
1336	#102	C₂³×C₃₁	1	1	yes	characteristic
1337	#102	C₂³×C₃₁	1	1	yes	characteristic
1338	#102	C₂³×C₃₁	1	1	yes	characteristic
1339	#102	C₂³×C₃₁	1	1	yes	characteristic
1340	#102	C₂³×C₃₁	1	1	yes	characteristic
1341	#102	C₂³×C₃₁	1	1	yes	characteristic
1342	#102	C₂³×C₃₁	1	1	yes	characteristic
1343	#102	C₂³×C₃₁	1	1	yes	characteristic
1344	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1345	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1346	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1347	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1348	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1349	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1350	#97	C₂³×C₃₁	1	1	yes	characteristic
1351	#97	C₂³×C₃₁	1	1	yes	characteristic
1352	#97	C₂³×C₃₁	1	1	yes	characteristic
1353	#97	C₂³×C₃₁	1	1	yes	characteristic
1354	#97	C₂³×C₃₁	1	1	yes	characteristic
1355	#97	C₂³×C₃₁	1	1	yes	characteristic
1356	C₄×C₈	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	C₃₁	#61504	1	1	yes	characteristic, direct product factor, Sylow
1361	C₂⁴	—	2	1	no	—
1362	C₂⁴	—	2	1	no	—
1363	C₂⁴	—	2	1	no	—
1364	#41	—	2	2	no	—
1365	#41	—	2	2	no	—
1366	#41	—	4	1	no	—
1367	#41	—	4	1	no	—
1368	#41	—	8	2	no	—
1369	#41	—	8	2	no	—
1370	C₂×Q₈	—	2	1	no	—
1371	C₂×Q₈	—	2	1	no	—
1372	C₂×Q₈	—	2	1	no	—
1373	C₂×Q₈	—	2	2	no	—
1374	C₂×Q₈	—	4	1	no	—
1375	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1376	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1377	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1378	C₂×D₄	—	2	2	no	—
1379	C₂×D₄	—	2	2	no	—
1380	C₂×D₄	—	2	2	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	2	1	no	—
1388	C₂×D₄	—	2	1	no	—
1389	C₂×D₄	—	2	1	no	—
1390	C₂×D₄	—	2	1	no	—
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	2	1	no	—
1395	C₂×D₄	—	2	1	no	—
1396	C₂×D₄	—	2	1	no	—
1397	C₂×D₄	—	2	1	no	—
1398	C₂×D₄	—	2	1	no	—
1399	C₂×D₄	—	2	1	no	—
1400	C₂×D₄	—	2	1	no	—
1401	C₂×D₄	—	2	1	no	—
1402	C₂×D₄	—	2	1	no	—
1403	C₂×D₄	—	2	1	no	—
1404	C₂×D₄	—	4	1	no	—
1405	C₂×D₄	—	4	1	no	—
1406	C₂×D₄	—	4	1	no	—
1407	C₂×D₄	—	8	2	no	—
1408	C₂×D₄	—	8	2	no	—
1409	C₂×D₄	—	8	2	no	—
1410	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1411	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1412	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1413	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1414	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1415	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1416	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1417	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1418	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1419	C₂²×C₄	—	2	1	no	—
1420	C₂²×C₄	—	2	1	no	—
1421	C₂²×C₄	—	2	1	no	—
1422	C₂²×C₄	—	2	1	no	—
1423	C₂²×C₄	—	2	1	no	—
1424	C₂²×C₄	—	2	1	no	—
1425	C₂²×C₄	—	2	1	no	—
1426	C₂²×C₄	—	2	1	no	—
1427	C₂²×C₄	—	2	1	no	—
1428	C₂²×C₄	—	2	1	no	—
1429	C₂²×C₄	—	2	1	no	—
1430	C₂²×C₄	—	2	1	no	—
1431	C₂²×C₄	—	2	1	no	—
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	2	1	no	—
1434	C₂²×C₄	—	2	1	no	—
1435	C₂²×C₄	—	2	1	no	—
1436	C₂²×C₄	—	2	1	no	—
1437	C₂²×C₄	—	2	1	no	—
1438	C₂²×C₄	—	8	2	no	—
1439	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1440	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1441	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1442	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1443	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1444	SD₁₆	—	2	2	no	—
1445	SD₁₆	—	2	2	no	—
1446	SD₁₆	—	2	2	no	—
1447	SD₁₆	—	2	2	no	—
1448	SD₁₆	—	2	2	no	—
1449	SD₁₆	—	4	1	no	—
1450	SD₁₆	—	4	1	no	—
1451	SD₁₆	#41×C₃₁	1	4	yes	complemented
1452	D₈	—	2	2	no	—
1453	D₈	—	2	2	no	—
1454	D₈	—	2	2	no	—
1455	D₈	—	2	2	no	—
1456	D₈	—	4	1	no	—
1457	D₈	—	4	1	no	—
1458	D₈	—	4	1	no	—
1459	D₈	—	4	1	no	—
1460	M₁₆	—	2	2	no	—
1461	M₁₆	—	2	2	no	—
1462	M₁₆	—	4	1	no	—
1463	M₁₆	—	4	1	no	—
1464	C₂×C₈	—	2	2	no	—
1465	C₂×C₈	—	4	1	no	—
1466	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1467	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1468	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1469	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1470	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1471	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1472	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1473	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	—	2	1	no	—
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	2	1	no	—
1494	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1495	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1496	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1497	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1498	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1499	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1500	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1501	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1502	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1503	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1504	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1505	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1506	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1507	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1508	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1509	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1510	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1511	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₃₁	1	1	yes	characteristic
1547	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1548	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1549	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1550	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1551	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1552	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1553	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1554	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1555	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1556	C₄²	—	2	1	no	—
1557	C₄²	—	2	1	no	—
1558	C₄²	—	2	1	no	—
1559	C₄²	—	2	1	no	—
1560	C₄²	—	2	1	no	—
1561	C₄²	—	2	1	no	—
1562	C₄²	—	2	1	no	—
1563	C₄²	—	2	1	no	—
1564	C₄²	—	2	1	no	—
1565	C₄²	—	2	1	no	—
1566	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1567	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1568	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1569	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1570	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1571	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1572	C₂³	—	2	1	no	—
1573	C₂³	—	2	1	no	—
1574	C₂³	—	2	1	no	—
1575	C₂³	—	2	1	no	—
1576	C₂³	—	2	1	no	—
1577	C₂³	—	2	1	no	—
1578	C₂³	—	4	2	no	—
1579	C₂³	—	4	2	no	—
1580	C₂³	—	4	2	no	—
1581	C₂³	—	4	2	no	—
1582	C₂³	—	8	1	no	—
1583	C₂³	—	8	1	no	—
1584	C₂³	—	8	1	no	—
1585	C₂³	—	8	1	no	—
1586	C₂³	—	8	1	no	—
1587	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1588	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1589	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1590	Q₈	—	2	1	no	—
1591	Q₈	—	2	1	no	—
1592	Q₈	—	2	1	no	—
1593	Q₈	—	4	1	no	—
1594	Q₈	—	4	2	no	—
1595	Q₈	—	8	1	no	—
1596	Q₈	—	8	1	no	—
1597	Q₈	C₂×#41×C₃₁	1	2	yes	—
1598	D₄	—	2	1	no	—
1599	D₄	—	2	1	no	—
1600	D₄	—	2	1	no	—
1601	D₄	—	2	1	no	—
1602	D₄	—	2	1	no	—
1603	D₄	—	2	1	no	—
1604	D₄	—	2	1	no	—
1605	D₄	—	2	1	no	—
1606	D₄	—	2	1	no	—
1607	D₄	—	2	1	no	—
1608	D₄	—	2	1	no	—
1609	D₄	—	4	1	no	—
1610	D₄	—	4	1	no	—
1611	D₄	—	4	1	no	—
1612	D₄	—	4	2	no	—
1613	D₄	—	4	2	no	—
1614	D₄	—	4	2	no	—
1615	D₄	—	4	2	no	—
1616	D₄	—	4	2	no	—
1617	D₄	—	4	2	no	—
1618	D₄	—	4	2	no	—
1619	D₄	—	4	2	no	—
1620	D₄	—	8	1	no	—
1621	D₄	—	8	1	no	—
1622	D₄	—	8	1	no	—
1623	D₄	—	8	1	no	—
1624	D₄	—	8	1	no	—
1625	D₄	—	8	1	no	—
1626	D₄	—	8	1	no	—
1627	D₄	—	8	1	no	—
1628	D₄	—	8	1	no	—
1629	D₄	—	8	1	no	—
1630	D₄	—	8	1	no	—
1631	D₄	—	8	1	no	—
1632	D₄	—	8	1	no	—
1633	D₄	—	8	1	no	—
1634	D₄	—	8	1	no	—
1635	D₄	C₂×#41×C₃₁	1	2	yes	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	2	1	no	—
1647	C₂×C₄	—	2	1	no	—
1648	C₂×C₄	—	2	1	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	4	1	no	—
1653	C₂×C₄	—	4	1	no	—
1654	C₂×C₄	—	4	2	no	—
1655	C₂×C₄	—	4	2	no	—
1656	C₂×C₄	—	4	2	no	—
1657	C₂×C₄	—	4	2	no	—
1658	C₂×C₄	—	4	2	no	—
1659	C₂×C₄	—	8	1	no	—
1660	C₂×C₄	—	8	1	no	—
1661	C₂×C₄	—	8	1	no	—
1662	C₂×C₄	—	8	1	no	—
1663	C₂×C₄	—	8	1	no	—
1664	C₂×C₄	—	8	1	no	—
1665	C₂×C₄	—	8	1	no	—
1666	C₂×C₄	—	8	1	no	—
1667	C₂×C₄	—	8	1	no	—
1668	C₂×C₄	—	8	1	no	—
1669	C₂×C₄	—	8	1	no	—
1670	C₂×C₄	—	8	1	no	—
1671	C₂×C₄	—	8	1	no	—
1672	C₂×C₄	—	8	1	no	—
1673	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1674	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1675	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1676	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1677	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1678	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1679	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1680	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1681	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1682	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1683	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1684	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1685	C₈	—	2	1	no	—
1686	C₈	—	2	1	no	—
1687	C₈	—	2	1	no	—
1688	C₈	—	2	1	no	—
1689	C₈	—	2	1	no	—
1690	C₈	—	2	1	no	—
1691	C₈	—	2	1	no	—
1692	C₈	C₂×#41×C₃₁	1	2	yes	—
1693	C₂²	—	2	1	no	—
1694	C₂²	—	2	1	no	—
1695	C₂²	—	2	1	no	—
1696	C₂²	—	2	2	no	—
1697	C₂²	—	2	1	no	—
1698	C₂²	—	2	1	no	—
1699	C₂²	—	2	1	no	—
1700	C₂²	—	2	1	no	—
1701	C₂²	—	2	1	no	—
1702	C₂²	—	2	1	no	—
1703	C₂²	—	4	1	no	—
1704	C₂²	—	4	1	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	4	1	no	—
1708	C₂²	—	4	1	no	—
1709	C₂²	—	4	1	no	—
1710	C₂²	—	4	1	no	—
1711	C₂²	—	4	1	no	—
1712	C₂²	—	4	1	no	—
1713	C₂²	—	4	1	no	—
1714	C₂²	—	4	1	no	—
1715	C₂²	—	4	1	no	—
1716	C₂²	—	4	1	no	—
1717	C₂²	—	4	1	no	—
1718	C₂²	—	4	1	no	—
1719	C₂²	—	4	1	no	—
1720	C₂²	—	8	4	no	—
1721	C₂²	—	16	2	no	—
1722	C₂²	—	16	2	no	—
1723	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1724	C₄	—	2	1	no	—
1725	C₄	—	2	1	no	—
1726	C₄	—	2	1	no	—
1727	C₄	—	2	2	no	—
1728	C₄	—	2	1	no	—
1729	C₄	—	2	1	no	—
1730	C₄	—	2	1	no	—
1731	C₄	—	2	1	no	—
1732	C₄	—	2	1	no	—
1733	C₄	—	2	1	no	—
1734	C₄	—	2	1	no	—
1735	C₄	—	2	1	no	—
1736	C₄	—	4	1	no	—
1737	C₄	—	4	1	no	—
1738	C₄	—	4	1	no	—
1739	C₄	—	4	1	no	—
1740	C₄	—	4	1	no	—
1741	C₄	—	4	1	no	—
1742	C₄	—	4	1	no	—
1743	C₄	—	4	1	no	—
1744	C₄	—	4	1	no	—
1745	C₄	C₂²×#41×C₃₁	1	1	yes	characteristic
1746	C₄	C₃₁×#585	1	1	yes	characteristic
1747	C₂	—	4	1	no	—
1748	C₂	—	4	1	no	—
1749	C₂	—	4	1	no	—
1750	C₂	—	4	2	no	—
1751	C₂	—	8	1	no	—
1752	C₂	—	8	1	no	—
1753	C₂	—	8	1	no	—
1754	C₂	—	8	1	no	—
1755	C₂	—	8	1	no	—
1756	C₂	D₄×#41×C₃₁	1	1	yes	characteristic
1757	C₂	C₃₁×#3585	1	1	yes	characteristic
1758	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×#3524	C₂	semidirect
2. C₃₁×#3519	C₂	semidirect
3. C₃₁×#3399	C₂	semidirect
4. C₃₁×#3388	C₂	semidirect
5. C₃₁×#3370	C₂	semidirect
6. C₃₁×#3368	C₂	semidirect
7. C₃₁×#3351	C₂	semidirect
8. C₃₁×#3347	C₂	semidirect
9. C₃₁×#3347	C₂	semidirect
10. C₃₁×#3326	C₂	semidirect
11. C₃₁×#3325	C₂	semidirect
12. C₃₁×#3321	C₂	semidirect
13. C₃₁×#3318	C₂	semidirect
14. C₃₁×#3310	C₂	semidirect
15. C₃₁×#3309	C₂	semidirect
16. C₃₁×#3274	C₂	semidirect
17. C₃₁×#3265	C₂	semidirect
18. C₃₁×#3265	C₂	semidirect
19. C₃₁×#3179	C₂	semidirect
20. C₃₁×#3176	C₂	semidirect
21. C₃₁×#3171	C₂	semidirect
22. C₃₁×#3126	C₂	semidirect
23. C₃₁×#3122	C₂	semidirect
24. C₃₁×#3119	C₂	semidirect
25. C₃₁×#3118	C₂	semidirect
26. C₃₁×#3115	C₂	semidirect
27. C₃₁×#3114	C₂	semidirect
28. C₃₁×#2967	C₂	semidirect
29. C₃₁×#2949	C₂	semidirect
30. C₃₁×#2946	C₂	semidirect
31. C₄×C₃₁×AGL(1,ℤ/8)	C₂	semidirect
36. C₃₁×#559	C₂²	semidirect
37. C₃₁×#557	C₂²	semidirect
40. C₃₁×#555	C₂²	semidirect
46. C₃₁×#553	C₂²	semidirect
48. C₃₁×#552	C₂²	semidirect
50. C₃₁×#550	C₂²	semidirect
51. C₃₁×#548	C₂²	semidirect
52. C₃₁×#548	C₂²	semidirect
60. C₃₁×#542	C₂²	semidirect
64. C₃₁×#540	C₂²	semidirect
71. C₃₁×#529	C₂²	semidirect
74. C₃₁×#520	C₂²	semidirect
75. C₃₁×#519	C₂²	semidirect
78. C₄×#41×C₃₁	C₂²	semidirect
80. C₃₁×#501	C₂²	semidirect
81. C₃₁×#501	C₂²	semidirect
82. C₃₁×#499	C₂²	semidirect
83. C₃₁×#496	C₂²	semidirect
84. C₃₁×#496	C₂²	semidirect
85. C₃₁×#493	C₂²	semidirect
86. C₃₁×#490	C₂²	semidirect
87. C₃₁×#490	C₂²	semidirect
88. C₃₁×#490	C₂²	semidirect
89. C₃₁×#489	C₂²	semidirect
90. C₃₁×#488	C₂²	semidirect
91. C₃₁×#486	C₂²	semidirect
92. C₃₁×#485	C₂²	semidirect
93. C₃₁×#483	C₂²	semidirect
94. C₃₁×#482	C₂²	semidirect
95. C₃₁×#482	C₂²	semidirect
96. C₃₁×#482	C₂²	semidirect
97. C₃₁×#482	C₂²	semidirect
98. C₃₁×#482	C₂²	semidirect
99. C₃₁×#482	C₂²	semidirect
100. C₃₁×#482	C₂²	semidirect
101. C₃₁×#481	C₂²	semidirect
102. C₃₁×#480	C₂²	semidirect
103. C₃₁×#480	C₂²	semidirect
104. C₃₁×#479	C₂²	semidirect
105. C₃₁×#479	C₂²	semidirect
106. C₃₁×#479	C₂²	semidirect
109. C₃₁×#478	C₂²	semidirect
110. C₃₁×#478	C₂²	semidirect
111. C₃₁×#478	C₂²	semidirect
113. C₃₁×#475	C₂²	semidirect
114. C₃₁×#474	C₂²	semidirect
115. C₃₁×#474	C₂²	semidirect
116. C₃₁×#469	C₂²	semidirect
117. C₃₁×#469	C₂²	semidirect
118. C₃₁×#469	C₂²	semidirect
119. C₃₁×#469	C₂²	semidirect
120. C₃₁×#469	C₂²	semidirect
121. C₃₁×#468	C₂²	semidirect
122. C₃₁×#468	C₂²	semidirect
123. C₃₁×#468	C₂²	semidirect
124. C₃₁×#466	C₂²	semidirect
125. C₃₁×#466	C₂²	semidirect
126. C₃₁×#466	C₂²	semidirect
127. C₃₁×#465	C₂²	semidirect
130. C₃₁×#463	C₂²	semidirect
131. C₃₁×#463	C₂²	semidirect
132. C₃₁×#460	C₂²	semidirect
133. C₃₁×#460	C₂²	semidirect
134. C₃₁×#460	C₂²	semidirect
135. C₃₁×#460	C₂²	semidirect
137. C₃₁×#459	C₂²	semidirect
138. C₃₁×#459	C₂²	semidirect
139. C₃₁×#459	C₂²	semidirect
142. C₃₁×#449	C₂²	semidirect
143. C₃₁×#449	C₂²	semidirect
144. C₃₁×#449	C₂²	semidirect
145. C₃₁×#449	C₂²	semidirect
146. C₃₁×#448	C₂²	semidirect
147. C₃₁×#448	C₂²	semidirect
152. C₃₁×#446	C₂²	semidirect
153. C₃₁×#446	C₂²	semidirect
156. C₃₁×#442	C₂²	semidirect
157. C₃₁×#442	C₂²	semidirect
158. C₃₁×#442	C₂²	semidirect
159. C₃₁×#442	C₂²	semidirect
160. C₃₁×#442	C₂²	semidirect
165. C₃₁×#440	C₂²	semidirect
166. C₃₁×#440	C₂²	semidirect
167. C₃₁×#440	C₂²	semidirect
168. C₃₁×#440	C₂²	semidirect
169. C₃₁×#440	C₂²	semidirect
172. C₄×SD₁₆×C₃₁	C₂²	semidirect
173. C₄×SD₁₆×C₃₁	C₂²	semidirect
174. C₄×SD₁₆×C₃₁	C₂²	semidirect
175. C₄×SD₁₆×C₃₁	C₂²	semidirect
176. C₄×SD₁₆×C₃₁	C₂²	semidirect
179. C₄×D₈×C₃₁	C₂²	semidirect
180. C₄×D₈×C₃₁	C₂²	semidirect
181. C₄×D₈×C₃₁	C₂²	semidirect
182. C₃₁×#436	C₂²	semidirect
183. C₃₁×#436	C₂²	semidirect
184. C₃₁×#435	C₂²	semidirect
185. C₃₁×#435	C₂²	semidirect
186. C₃₁×#435	C₂²	semidirect
187. C₃₁×#435	C₂²	semidirect
188. C₃₁×#433	C₂²	semidirect
189. C₃₁×#433	C₂²	semidirect
190. C₃₁×#432	C₂²	semidirect
191. C₃₁×#428	C₂²	semidirect
192. C₃₁×#428	C₂²	semidirect
193. C₃₁×#427	C₂²	semidirect
194. C₃₁×#419	C₂²	semidirect
197. C₃₁×#417	C₂²	semidirect
198. C₃₁×#416	C₂²	semidirect
200. C₃₁×#405	C₂²	semidirect
201. C₃₁×#405	C₂²	semidirect
202. C₄×M₁₆×C₃₁	C₂²	semidirect
571. SD₁₆×C₃₁	#41	semidirect
692. #61504	C₃₁	direct (N × H)
814. #3524	C₂×C₃₁	semidirect
815. #3519	C₂×C₃₁	semidirect
816. #3399	C₂×C₃₁	semidirect
817. #3388	C₂×C₃₁	semidirect
818. #3370	C₂×C₃₁	semidirect
819. #3368	C₂×C₃₁	semidirect
820. #3351	C₂×C₃₁	semidirect
821. #3347	C₂×C₃₁	semidirect
822. #3347	C₂×C₃₁	semidirect
823. #3326	C₂×C₃₁	semidirect
824. #3325	C₂×C₃₁	semidirect
825. #3321	C₂×C₃₁	semidirect
826. #3318	C₂×C₃₁	semidirect
827. #3310	C₂×C₃₁	semidirect
828. #3309	C₂×C₃₁	semidirect
829. #3274	C₂×C₃₁	semidirect
830. #3265	C₂×C₃₁	semidirect
831. #3265	C₂×C₃₁	semidirect
832. #3179	C₂×C₃₁	semidirect
833. #3176	C₂×C₃₁	semidirect
834. #3171	C₂×C₃₁	semidirect
835. #3126	C₂×C₃₁	semidirect
836. #3122	C₂×C₃₁	semidirect
837. #3119	C₂×C₃₁	semidirect
838. #3118	C₂×C₃₁	semidirect
839. #3115	C₂×C₃₁	semidirect
840. #3114	C₂×C₃₁	semidirect
841. #2967	C₂×C₃₁	semidirect
842. #2949	C₂×C₃₁	semidirect
843. #2946	C₂×C₃₁	semidirect
844. C₄×AGL(1,ℤ/8)	C₂×C₃₁	semidirect
903. #559	C₂²×C₃₁	semidirect
904. #557	C₂²×C₃₁	semidirect
907. #555	C₂²×C₃₁	semidirect
913. #553	C₂²×C₃₁	semidirect
915. #552	C₂²×C₃₁	semidirect
917. #550	C₂²×C₃₁	semidirect
918. #548	C₂²×C₃₁	semidirect
919. #548	C₂²×C₃₁	semidirect
927. #542	C₂²×C₃₁	semidirect
931. #540	C₂²×C₃₁	semidirect
938. #529	C₂²×C₃₁	semidirect
941. #520	C₂²×C₃₁	semidirect
942. #519	C₂²×C₃₁	semidirect
945. C₄×#41	C₂²×C₃₁	semidirect
947. #501	C₂²×C₃₁	semidirect
948. #501	C₂²×C₃₁	semidirect
949. #499	C₂²×C₃₁	semidirect
950. #496	C₂²×C₃₁	semidirect
951. #496	C₂²×C₃₁	semidirect
952. #493	C₂²×C₃₁	semidirect
953. #490	C₂²×C₃₁	semidirect
954. #490	C₂²×C₃₁	semidirect
955. #490	C₂²×C₃₁	semidirect
956. #489	C₂²×C₃₁	semidirect
957. #488	C₂²×C₃₁	semidirect
958. #486	C₂²×C₃₁	semidirect
959. #485	C₂²×C₃₁	semidirect
960. #483	C₂²×C₃₁	semidirect
961. #482	C₂²×C₃₁	semidirect
962. #482	C₂²×C₃₁	semidirect
963. #482	C₂²×C₃₁	semidirect
964. #482	C₂²×C₃₁	semidirect
965. #482	C₂²×C₃₁	semidirect
966. #482	C₂²×C₃₁	semidirect
967. #482	C₂²×C₃₁	semidirect
968. #481	C₂²×C₃₁	semidirect
969. #480	C₂²×C₃₁	semidirect
970. #480	C₂²×C₃₁	semidirect
971. #479	C₂²×C₃₁	semidirect
972. #479	C₂²×C₃₁	semidirect
973. #479	C₂²×C₃₁	semidirect
976. #478	C₂²×C₃₁	semidirect
977. #478	C₂²×C₃₁	semidirect
978. #478	C₂²×C₃₁	semidirect
980. #475	C₂²×C₃₁	semidirect
981. #474	C₂²×C₃₁	semidirect
982. #474	C₂²×C₃₁	semidirect
983. #469	C₂²×C₃₁	semidirect
984. #469	C₂²×C₃₁	semidirect
985. #469	C₂²×C₃₁	semidirect
986. #469	C₂²×C₃₁	semidirect
987. #469	C₂²×C₃₁	semidirect
988. #468	C₂²×C₃₁	semidirect
989. #468	C₂²×C₃₁	semidirect
990. #468	C₂²×C₃₁	semidirect
991. #466	C₂²×C₃₁	semidirect
992. #466	C₂²×C₃₁	semidirect
993. #466	C₂²×C₃₁	semidirect
994. #465	C₂²×C₃₁	semidirect
997. #463	C₂²×C₃₁	semidirect
998. #463	C₂²×C₃₁	semidirect
999. #460	C₂²×C₃₁	semidirect
1000. #460	C₂²×C₃₁	semidirect
1001. #460	C₂²×C₃₁	semidirect
1002. #460	C₂²×C₃₁	semidirect
1004. #459	C₂²×C₃₁	semidirect
1005. #459	C₂²×C₃₁	semidirect
1006. #459	C₂²×C₃₁	semidirect
1009. #449	C₂²×C₃₁	semidirect
1010. #449	C₂²×C₃₁	semidirect
1011. #449	C₂²×C₃₁	semidirect
1012. #449	C₂²×C₃₁	semidirect
1013. #448	C₂²×C₃₁	semidirect
1014. #448	C₂²×C₃₁	semidirect
1019. #446	C₂²×C₃₁	semidirect
1020. #446	C₂²×C₃₁	semidirect
1023. #442	C₂²×C₃₁	semidirect
1024. #442	C₂²×C₃₁	semidirect
1025. #442	C₂²×C₃₁	semidirect
1026. #442	C₂²×C₃₁	semidirect
1027. #442	C₂²×C₃₁	semidirect
1032. #440	C₂²×C₃₁	semidirect
1033. #440	C₂²×C₃₁	semidirect
1034. #440	C₂²×C₃₁	semidirect
1035. #440	C₂²×C₃₁	semidirect
1036. #440	C₂²×C₃₁	semidirect
1039. C₄×SD₁₆	C₂²×C₃₁	semidirect
1040. C₄×SD₁₆	C₂²×C₃₁	semidirect
1041. C₄×SD₁₆	C₂²×C₃₁	semidirect
1042. C₄×SD₁₆	C₂²×C₃₁	semidirect
1043. C₄×SD₁₆	C₂²×C₃₁	semidirect
1046. C₄×D₈	C₂²×C₃₁	semidirect
1047. C₄×D₈	C₂²×C₃₁	semidirect
1048. C₄×D₈	C₂²×C₃₁	semidirect
1049. #436	C₂²×C₃₁	semidirect
1050. #436	C₂²×C₃₁	semidirect
1051. #435	C₂²×C₃₁	semidirect
1052. #435	C₂²×C₃₁	semidirect
1053. #435	C₂²×C₃₁	semidirect
1054. #435	C₂²×C₃₁	semidirect
1055. #433	C₂²×C₃₁	semidirect
1056. #433	C₂²×C₃₁	semidirect
1057. #432	C₂²×C₃₁	semidirect
1058. #428	C₂²×C₃₁	semidirect
1059. #428	C₂²×C₃₁	semidirect
1060. #427	C₂²×C₃₁	semidirect
1061. #419	C₂²×C₃₁	semidirect
1064. #417	C₂²×C₃₁	semidirect
1065. #416	C₂²×C₃₁	semidirect
1067. #405	C₂²×C₃₁	semidirect
1068. #405	C₂²×C₃₁	semidirect
1069. C₄×M₁₆	C₂²×C₃₁	semidirect
1360. C₃₁	#61504	direct (N × H)
1451. SD₁₆	#41×C₃₁	semidirect

Maximal subgroups

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

subgroup	index
C₃₁×#3524	2
C₃₁×#3519	2
C₃₁×#3399	2
C₃₁×#3388	2
C₃₁×#3370	2
C₃₁×#3368	2
C₃₁×#3351	2
C₃₁×#3347	2
C₃₁×#3326	2
C₃₁×#3325	2
C₃₁×#3321	2
C₃₁×#3318	2
C₃₁×#3310	2
C₃₁×#3309	2
C₃₁×#3274	2
C₃₁×#3265	2
C₃₁×#3179	2
C₃₁×#3176	2
C₃₁×#3171	2
C₃₁×#3126	2
C₃₁×#3122	2
C₃₁×#3119	2
C₃₁×#3118	2
C₃₁×#3115	2
C₃₁×#3114	2
C₃₁×#2967	2
C₃₁×#2949	2
C₃₁×#2946	2
C₄×C₃₁×AGL(1,ℤ/8)	2
#61504	31

Subgroups — C31×#61504 #21518263

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61504 #21518263