Subgroups — C₃₁×#61990 #21518749

Order 7936.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3514	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3475	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3402	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3401	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3321	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3319	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3312	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3310	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3300	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3296	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3282	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3280	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3269	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3267	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3256	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3250	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3248	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3219	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3215	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3211	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3114	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3111	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3102	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#3040	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#3035	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₃₁×#463	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃₁×#2990	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic, complemented
36	C₂²×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
37	C₂²×D₈×C₃₁	C₂²	1	1	yes	characteristic
38	C₃₁×#559	C₂²	1	1	yes	characteristic, complemented
39	C₃₁×#556	C₂²	1	1	yes	characteristic, complemented
40	C₃₁×#556	C₂²	1	1	yes	characteristic, complemented
41	C₃₁×#555	—	2	1	no	—
42	C₃₁×#555	C₂²	1	1	yes	characteristic, complemented
43	C₃₁×#554	C₂²	1	1	yes	characteristic, complemented
44	C₃₁×#553	—	2	1	no	—
45	C₃₁×#552	—	2	1	no	—
46	C₃₁×#552	C₂²	1	1	yes	characteristic
47	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
48	C₃₁×#551	—	2	1	no	—
49	C₃₁×#551	—	2	1	no	—
50	C₃₁×#551	—	2	1	no	—
51	C₃₁×#551	—	2	1	no	—
52	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
53	C₃₁×#548	C₂²	1	1	yes	characteristic
54	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
55	C₃₁×#547	C₂²	1	1	yes	characteristic, complemented
56	C₃₁×#546	—	2	1	no	—
57	C₃₁×#546	C₂²	1	1	yes	characteristic
58	C₃₁×#546	C₂²	1	1	yes	characteristic
59	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
60	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
61	D₄²×C₃₁	C₂²	1	1	yes	characteristic
62	C₃₁×#542	—	2	1	no	—
63	C₃₁×#538	—	2	1	no	—
64	C₃₁×#538	—	2	1	no	—
65	C₃₁×#533	C₂²	1	1	yes	characteristic, complemented
66	C₃₁×#532	C₂²	1	1	yes	characteristic, complemented
67	C₃₁×#529	—	2	1	no	—
68	C₃₁×#529	—	2	1	no	—
69	C₃₁×#529	C₂²	1	1	yes	characteristic
70	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
71	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
72	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
73	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
74	C₂×C₃₁×#124	C₂²	1	1	yes	characteristic
75	C₂×C₃₁×#124	C₂²	1	1	yes	characteristic, complemented
76	C₃₁×#525	—	2	1	no	—
77	C₃₁×#518	—	2	1	no	—
78	C₄×#41×C₃₁	C₂²	1	1	yes	characteristic
79	C₄×#41×C₃₁	C₂²	1	1	yes	characteristic, complemented
80	C₄×#41×C₃₁	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₃₁×#117	—	2	1	no	—
83	C₃₁×#497	C₂²	1	1	yes	characteristic, complemented
84	C₃₁×#497	C₂²	1	1	yes	characteristic, complemented
85	C₃₁×#497	C₂²	1	1	yes	characteristic, complemented
86	C₃₁×#496	C₂²	1	1	yes	characteristic
87	C₃₁×#495	C₂²	1	1	yes	characteristic
88	C₃₁×#495	C₂²	1	1	yes	characteristic, complemented
89	C₃₁×#491	C₂²	1	1	yes	characteristic, complemented
90	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
91	C₃₁×#489	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×#488	C₂²	1	1	yes	characteristic, complemented
95	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
96	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
97	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
98	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
99	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
100	C₃₁×#480	C₂²	1	1	yes	characteristic
101	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
102	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
103	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
104	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
105	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
106	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
108	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#475	C₂²	1	1	yes	characteristic, complemented
110	C₃₁×#474	C₂²	1	1	yes	characteristic, complemented
111	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#469	C₂²	1	1	yes	characteristic
113	C₃₁×#468	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×#467	C₂²	1	1	yes	characteristic, complemented
117	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
118	C₃₁×#466	C₂²	1	1	yes	characteristic
119	C₃₁×#465	C₂²	1	1	yes	characteristic
120	C₃₁×#465	C₂²	1	1	yes	characteristic
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×#464	C₂²	1	1	yes	characteristic, complemented
127	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
128	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
129	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
130	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
131	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
132	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
133	C₃₁×#463	C₂²	1	1	yes	characteristic
134	C₃₁×#463	C₂²	1	1	yes	characteristic
135	C₃₁×#463	C₂²	1	1	yes	characteristic
136	C₃₁×#463	C₂²	1	1	yes	characteristic
137	C₃₁×#463	C₂²	1	1	yes	characteristic
138	C₃₁×#463	C₂²	1	1	yes	characteristic
139	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
140	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
141	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
142	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
143	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
144	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
145	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
146	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
147	C₃₁×#462	C₂²	1	1	yes	characteristic, complemented
148	C₃₁×#462	C₂²	1	1	yes	characteristic, complemented
149	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
150	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
151	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
152	C₃₁×#459	C₂²	1	1	yes	characteristic
153	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
154	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
155	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
156	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
157	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
158	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
159	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
160	C₃₁×#450	C₂²	1	1	yes	characteristic
161	C₃₁×#450	C₂²	1	1	yes	characteristic
162	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
163	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
164	C₃₁×#449	C₂²	1	1	yes	characteristic
165	C₃₁×#449	C₂²	1	1	yes	characteristic
166	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
167	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
168	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
169	C₃₁×#447	C₂²	1	1	yes	characteristic
170	C₃₁×#447	C₂²	1	1	yes	characteristic
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
174	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
175	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
176	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
177	C₃₁×#440	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×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
182	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
183	C₄×SD₁₆×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
186	C₃₁×#435	C₂²	1	1	yes	characteristic
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×#432	C₂²	1	1	yes	characteristic, complemented
192	C₃₁×#432	C₂²	1	1	yes	characteristic, complemented
193	C₃₁×#431	C₂²	1	1	yes	characteristic, complemented
194	C₃₁×#423	C₂²	1	1	yes	characteristic, complemented
195	C₂×C₃₁×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₃₁×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	C₃₁×#419	C₂²	1	1	yes	characteristic, complemented
198	C₃₁×#418	C₂²	1	1	yes	characteristic, complemented
199	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
200	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₃₁×#103	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₃₁×#102	C₂²	1	1	yes	characteristic
203	C₂×#41×C₃₁	D₄	1	1	yes	characteristic
204	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
205	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
206	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
207	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₃₁	—	2	1	no	—
211	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₃₁	—	2	1	no	—
215	C₃₁×#137	—	4	2	no	—
216	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
217	C₃₁×#135	—	4	2	no	—
218	C₃₁×#135	—	4	2	no	—
219	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
220	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
221	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
222	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
223	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
224	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₃₁	—	4	2	no	—
226	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
228	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
229	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
230	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
231	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
232	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
233	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
234	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
235	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
236	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
237	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
238	C₂×D₈×C₃₁	—	4	2	no	—
239	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
240	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
241	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
242	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
243	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
244	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
245	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
246	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
247	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
248	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
249	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
250	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
251	C₃₁×C₄⋊Q₈	—	2	1	no	—
252	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
253	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
254	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
255	C₃₁×#127	C₂³	1	1	yes	characteristic
256	C₃₁×#126	—	2	1	no	—
257	C₃₁×#126	—	2	1	no	—
258	C₃₁×#126	—	2	1	no	—
259	C₃₁×#126	—	2	1	no	—
260	C₃₁×#126	—	2	1	no	—
261	C₃₁×#126	—	2	1	no	—
262	C₃₁×#126	—	2	1	no	—
263	C₃₁×#126	—	2	1	no	—
264	C₃₁×#126	—	2	1	no	—
265	C₃₁×#126	—	2	1	no	—
266	C₃₁×#126	—	2	1	no	—
267	C₃₁×#125	—	2	1	no	—
268	C₃₁×#125	—	2	1	no	—
269	C₃₁×#125	—	2	1	no	—
270	C₃₁×#125	C₂³	1	1	yes	characteristic
271	C₃₁×#125	C₂³	1	1	yes	characteristic
272	C₃₁×#125	C₂³	1	1	yes	characteristic
273	C₃₁×#124	—	2	1	no	—
274	C₃₁×#124	—	2	1	no	—
275	C₃₁×#124	—	2	1	no	—
276	C₃₁×#124	—	2	1	no	—
277	C₃₁×#124	—	2	1	no	—
278	C₃₁×#124	—	2	1	no	—
279	C₃₁×#124	—	2	1	no	—
280	C₃₁×#124	—	2	1	no	—
281	C₃₁×#124	—	2	1	no	—
282	C₃₁×#124	C₂³	1	1	yes	characteristic
283	C₃₁×#124	C₂³	1	1	yes	characteristic
284	C₃₁×#124	C₂³	1	1	yes	characteristic
285	C₃₁×#124	C₂³	1	1	yes	characteristic
286	C₃₁×#124	C₂³	1	1	yes	characteristic
287	C₃₁×#124	C₂³	1	1	yes	characteristic
288	C₃₁×#124	C₂³	1	1	yes	characteristic
289	C₃₁×#124	C₂³	1	1	yes	characteristic
290	C₃₁×#124	C₂³	1	1	yes	characteristic
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×C₂²⋊Q₈	—	2	1	no	—
307	C₃₁×C₂²⋊Q₈	—	2	1	no	—
308	C₃₁×C₂²⋊Q₈	—	2	1	no	—
309	C₃₁×C₂²⋊Q₈	—	2	1	no	—
310	C₃₁×C₂²⋊Q₈	—	2	1	no	—
311	C₃₁×C₂²⋊Q₈	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
317	C₃₁×C₂²⋊Q₈	C₂³	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×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
322	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
335	C₃₁×#121	C₂³	1	1	yes	characteristic
336	C₃₁×#121	C₂³	1	1	yes	characteristic
337	C₃₁×#121	C₂³	1	1	yes	characteristic
338	C₃₁×#121	C₂³	1	1	yes	characteristic
339	C₃₁×#120	—	2	1	no	—
340	C₃₁×#120	—	2	1	no	—
341	C₃₁×#120	—	2	1	no	—
342	C₃₁×#120	—	2	1	no	—
343	C₃₁×#120	—	2	1	no	—
344	C₃₁×#120	—	2	1	no	—
345	C₄×Q₈×C₃₁	—	2	1	no	—
346	C₄×Q₈×C₃₁	D₄	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×Q₈×C₃₁	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
354	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
370	C₄×D₄×C₃₁	—	2	1	no	—
371	C₄×D₄×C₃₁	—	2	1	no	—
372	C₄×D₄×C₃₁	D₄	1	1	yes	characteristic
373	C₄×D₄×C₃₁	D₄	1	1	yes	characteristic
374	C₄×D₄×C₃₁	D₄	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	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
395	C₃₁×#117	—	2	1	no	—
396	C₃₁×#117	—	2	1	no	—
397	C₃₁×#117	—	2	1	no	—
398	C₃₁×#117	—	2	1	no	—
399	C₃₁×#117	—	2	1	no	—
400	C₃₁×#117	D₄	1	1	yes	characteristic
401	C₃₁×#117	D₄	1	1	yes	characteristic
402	C₃₁×#117	D₄	1	1	yes	characteristic
403	C₃₁×#117	C₂³	1	1	yes	characteristic
404	C₃₁×#117	C₂³	1	1	yes	characteristic
405	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
406	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
407	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
408	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
409	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
410	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
411	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
412	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
413	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
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×C₄²×C₃₁	—	2	1	no	—
418	C₂×C₄²×C₃₁	—	2	1	no	—
419	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
420	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
421	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
422	C₃₁×#107	C₂³	1	1	yes	characteristic
423	C₃₁×#107	C₂³	1	1	yes	characteristic
424	C₃₁×#107	C₂³	1	1	yes	characteristic
425	C₃₁×#107	C₂³	1	1	yes	characteristic
426	C₃₁×#106	C₂³	1	1	yes	characteristic
427	C₃₁×#106	C₂³	1	1	yes	characteristic
428	C₃₁×#106	C₂³	1	1	yes	characteristic
429	C₃₁×#106	C₂³	1	1	yes	characteristic
430	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₃₁×#103	C₂³	1	1	yes	characteristic
441	C₃₁×#103	C₂³	1	1	yes	characteristic
442	C₃₁×#103	C₂³	1	1	yes	characteristic
443	C₃₁×#103	C₂³	1	1	yes	characteristic
444	C₃₁×#103	C₂³	1	1	yes	characteristic
445	C₃₁×#103	C₂³	1	1	yes	characteristic
446	C₃₁×#103	C₂³	1	1	yes	characteristic
447	C₃₁×#103	C₂³	1	1	yes	characteristic
448	C₃₁×#103	C₂³	1	1	yes	characteristic
449	C₃₁×#103	C₂³	1	1	yes	characteristic
450	C₃₁×#103	C₂³	1	1	yes	characteristic
451	C₃₁×#103	C₂³	1	1	yes	characteristic
452	C₃₁×#103	C₂³	1	1	yes	characteristic
453	C₃₁×#103	C₂³	1	1	yes	characteristic
454	C₃₁×#103	C₂³	1	1	yes	characteristic
455	C₃₁×#103	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	#41×C₃₁	—	2	2	no	—
488	#41×C₃₁	—	2	2	no	—
489	#41×C₃₁	—	4	2	no	—
490	#41×C₃₁	—	4	1	no	—
491	#41×C₃₁	—	4	1	no	—
492	#41×C₃₁	—	4	1	no	—
493	#41×C₃₁	—	4	1	no	—
494	#41×C₃₁	—	4	1	no	—
495	#41×C₃₁	—	4	1	no	—
496	C₂×Q₈×C₃₁	—	2	1	no	—
497	C₂×Q₈×C₃₁	—	2	1	no	—
498	C₂×Q₈×C₃₁	—	2	1	no	—
499	C₂×Q₈×C₃₁	—	4	1	no	—
500	C₂×Q₈×C₃₁	—	4	1	no	—
501	C₂×Q₈×C₃₁	—	4	1	no	—
502	C₂×Q₈×C₃₁	—	4	1	no	—
503	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
504	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
505	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
506	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
507	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₃₁	—	2	2	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	—	4	1	no	—
528	C₂×D₄×C₃₁	—	4	1	no	—
529	C₂×D₄×C₃₁	—	4	4	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	C₂²×C₄×C₃₁	—	2	1	no	—
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	—	4	4	no	—
555	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
556	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
557	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
558	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
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	Q₁₆×C₃₁	—	4	1	no	—
565	Q₁₆×C₃₁	—	4	1	no	—
566	Q₁₆×C₃₁	—	4	1	no	—
567	Q₁₆×C₃₁	—	4	1	no	—
568	Q₁₆×C₃₁	—	4	1	no	—
569	Q₁₆×C₃₁	—	4	1	no	—
570	SD₁₆×C₃₁	—	2	2	no	—
571	SD₁₆×C₃₁	—	2	2	no	—
572	SD₁₆×C₃₁	—	2	2	no	—
573	SD₁₆×C₃₁	—	4	1	no	—
574	SD₁₆×C₃₁	—	4	1	no	—
575	SD₁₆×C₃₁	—	4	1	no	—
576	SD₁₆×C₃₁	—	4	1	no	—
577	SD₁₆×C₃₁	—	4	1	no	—
578	SD₁₆×C₃₁	—	4	1	no	—
579	SD₁₆×C₃₁	—	4	1	no	—
580	SD₁₆×C₃₁	—	4	1	no	—
581	SD₁₆×C₃₁	—	4	1	no	—
582	D₈×C₃₁	—	2	2	no	—
583	D₈×C₃₁	—	2	2	no	—
584	D₈×C₃₁	—	2	2	no	—
585	D₈×C₃₁	—	4	1	no	—
586	D₈×C₃₁	—	4	1	no	—
587	D₈×C₃₁	—	4	1	no	—
588	M₁₆×C₃₁	—	4	1	no	—
589	M₁₆×C₃₁	—	4	1	no	—
590	C₂×C₈×C₃₁	—	4	1	no	—
591	C₂×C₈×C₃₁	—	4	1	no	—
592	C₂×C₈×C₃₁	—	4	1	no	—
593	C₂×C₈×C₃₁	—	4	1	no	—
594	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
595	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
596	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
597	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
598	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
599	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
600	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
601	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
602	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	—	2	1	no	—
615	C₄⋊C₄×C₃₁	—	2	1	no	—
616	C₄⋊C₄×C₃₁	—	2	1	no	—
617	C₄⋊C₄×C₃₁	—	2	1	no	—
618	C₄⋊C₄×C₃₁	—	2	1	no	—
619	C₄⋊C₄×C₃₁	—	2	1	no	—
620	C₄⋊C₄×C₃₁	—	2	1	no	—
621	C₄⋊C₄×C₃₁	—	2	1	no	—
622	C₄⋊C₄×C₃₁	—	2	1	no	—
623	C₄⋊C₄×C₃₁	—	2	1	no	—
624	C₄⋊C₄×C₃₁	—	2	1	no	—
625	C₄⋊C₄×C₃₁	—	2	1	no	—
626	C₄⋊C₄×C₃₁	—	2	1	no	—
627	C₄⋊C₄×C₃₁	—	2	1	no	—
628	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
629	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
630	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
631	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
632	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
633	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
634	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
635	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
636	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
637	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
638	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
639	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	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	C₂×D₄	1	1	yes	characteristic
682	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
683	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
684	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
685	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
686	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
687	C₄²×C₃₁	—	2	1	no	—
688	C₄²×C₃₁	—	2	1	no	—
689	C₄²×C₃₁	—	2	1	no	—
690	C₄²×C₃₁	—	2	1	no	—
691	C₄²×C₃₁	—	2	1	no	—
692	C₄²×C₃₁	—	2	1	no	—
693	C₄²×C₃₁	—	2	1	no	—
694	C₄²×C₃₁	—	2	1	no	—
695	C₄²×C₃₁	—	2	1	no	—
696	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
697	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
698	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
699	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
700	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
701	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
702	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
703	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
704	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
705	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
706	#61990	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
707	C₂³×C₃₁	—	2	1	no	—
708	C₂³×C₃₁	—	2	1	no	—
709	C₂³×C₃₁	—	2	1	no	—
710	C₂³×C₃₁	—	2	1	no	—
711	C₂³×C₃₁	—	2	1	no	—
712	C₂³×C₃₁	—	4	2	no	—
713	C₂³×C₃₁	—	4	2	no	—
714	C₂³×C₃₁	—	4	2	no	—
715	C₂³×C₃₁	—	4	2	no	—
716	C₂³×C₃₁	—	8	1	no	—
717	C₂³×C₃₁	—	8	1	no	—
718	C₂³×C₃₁	—	8	1	no	—
719	C₂³×C₃₁	—	8	1	no	—
720	C₂³×C₃₁	—	8	1	no	—
721	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
722	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
723	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
724	Q₈×C₃₁	—	2	1	no	—
725	Q₈×C₃₁	—	2	1	no	—
726	Q₈×C₃₁	—	2	1	no	—
727	Q₈×C₃₁	—	2	1	no	—
728	Q₈×C₃₁	—	2	1	no	—
729	Q₈×C₃₁	—	2	1	no	—
730	Q₈×C₃₁	—	2	1	no	—
731	Q₈×C₃₁	—	2	1	no	—
732	Q₈×C₃₁	—	2	1	no	—
733	Q₈×C₃₁	—	2	1	no	—
734	Q₈×C₃₁	—	4	1	no	—
735	Q₈×C₃₁	—	8	1	no	—
736	Q₈×C₃₁	—	8	1	no	—
737	Q₈×C₃₁	—	8	1	no	—
738	D₄×C₃₁	—	2	2	no	—
739	D₄×C₃₁	—	2	2	no	—
740	D₄×C₃₁	—	2	1	no	—
741	D₄×C₃₁	—	2	1	no	—
742	D₄×C₃₁	—	2	1	no	—
743	D₄×C₃₁	—	2	1	no	—
744	D₄×C₃₁	—	2	1	no	—
745	D₄×C₃₁	—	2	1	no	—
746	D₄×C₃₁	—	2	1	no	—
747	D₄×C₃₁	—	2	1	no	—
748	D₄×C₃₁	—	2	1	no	—
749	D₄×C₃₁	—	4	1	no	—
750	D₄×C₃₁	—	4	2	no	—
751	D₄×C₃₁	—	4	2	no	—
752	D₄×C₃₁	—	4	2	no	—
753	D₄×C₃₁	—	4	2	no	—
754	D₄×C₃₁	—	4	2	no	—
755	D₄×C₃₁	—	4	2	no	—
756	D₄×C₃₁	—	8	1	no	—
757	D₄×C₃₁	—	8	1	no	—
758	D₄×C₃₁	—	8	1	no	—
759	D₄×C₃₁	—	8	1	no	—
760	D₄×C₃₁	—	8	1	no	—
761	D₄×C₃₁	—	8	1	no	—
762	D₄×C₃₁	—	8	1	no	—
763	D₄×C₃₁	—	8	1	no	—
764	D₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
765	C₂×C₄×C₃₁	—	2	2	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	—	2	1	no	—
774	C₂×C₄×C₃₁	—	2	1	no	—
775	C₂×C₄×C₃₁	—	2	1	no	—
776	C₂×C₄×C₃₁	—	2	1	no	—
777	C₂×C₄×C₃₁	—	2	1	no	—
778	C₂×C₄×C₃₁	—	2	1	no	—
779	C₂×C₄×C₃₁	—	2	1	no	—
780	C₂×C₄×C₃₁	—	2	1	no	—
781	C₂×C₄×C₃₁	—	2	1	no	—
782	C₂×C₄×C₃₁	—	2	1	no	—
783	C₂×C₄×C₃₁	—	4	1	no	—
784	C₂×C₄×C₃₁	—	4	1	no	—
785	C₂×C₄×C₃₁	—	4	1	no	—
786	C₂×C₄×C₃₁	—	4	1	no	—
787	C₂×C₄×C₃₁	—	4	1	no	—
788	C₂×C₄×C₃₁	—	4	2	no	—
789	C₂×C₄×C₃₁	—	4	2	no	—
790	C₂×C₄×C₃₁	—	4	2	no	—
791	C₂×C₄×C₃₁	—	4	2	no	—
792	C₂×C₄×C₃₁	—	4	2	no	—
793	C₂×C₄×C₃₁	—	4	2	no	—
794	C₂×C₄×C₃₁	—	4	2	no	—
795	C₂×C₄×C₃₁	—	4	2	no	—
796	C₂×C₄×C₃₁	—	8	1	no	—
797	C₂×C₄×C₃₁	—	8	1	no	—
798	C₂×C₄×C₃₁	—	8	1	no	—
799	C₂×C₄×C₃₁	—	8	1	no	—
800	C₂×C₄×C₃₁	—	8	1	no	—
801	C₂×C₄×C₃₁	—	8	1	no	—
802	C₂×C₄×C₃₁	—	8	1	no	—
803	C₂×C₄×C₃₁	—	8	1	no	—
804	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
805	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
806	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
816	C₈×C₃₁	—	2	1	no	—
817	C₈×C₃₁	—	2	1	no	—
818	C₈×C₃₁	—	2	1	no	—
819	C₈×C₃₁	—	2	1	no	—
820	C₈×C₃₁	—	2	1	no	—
821	C₈×C₃₁	—	2	1	no	—
822	C₈×C₃₁	—	2	1	no	—
823	C₈×C₃₁	—	2	1	no	—
824	#3514	C₂×C₃₁	1	1	yes	characteristic, complemented
825	#3475	C₂×C₃₁	1	1	yes	characteristic, complemented
826	#3402	C₂×C₃₁	1	1	yes	characteristic, complemented
827	#3401	C₂×C₃₁	1	1	yes	characteristic, complemented
828	#3376	C₂×C₃₁	1	1	yes	characteristic, complemented
829	#3370	C₂×C₃₁	1	1	yes	characteristic, complemented
830	#3321	C₂×C₃₁	1	1	yes	characteristic, complemented
831	#3319	C₂×C₃₁	1	1	yes	characteristic, complemented
832	#3312	C₂×C₃₁	1	1	yes	characteristic, complemented
833	#3310	C₂×C₃₁	1	1	yes	characteristic, complemented
834	#3300	C₂×C₃₁	1	1	yes	characteristic, complemented
835	#3296	C₂×C₃₁	1	1	yes	characteristic, complemented
836	#3282	C₂×C₃₁	1	1	yes	characteristic, complemented
837	#3280	C₂×C₃₁	1	1	yes	characteristic, complemented
838	#3269	C₂×C₃₁	1	1	yes	characteristic, complemented
839	#3267	C₂×C₃₁	1	1	yes	characteristic, complemented
840	#3266	C₂×C₃₁	1	1	yes	characteristic, complemented
841	#3264	C₂×C₃₁	1	1	yes	characteristic, complemented
842	#3256	C₂×C₃₁	1	1	yes	characteristic, complemented
843	#3250	C₂×C₃₁	1	1	yes	characteristic, complemented
844	#3248	C₂×C₃₁	1	1	yes	characteristic, complemented
845	#3219	C₂×C₃₁	1	1	yes	characteristic, complemented
846	#3215	C₂×C₃₁	1	1	yes	characteristic, complemented
847	#3211	C₂×C₃₁	1	1	yes	characteristic, complemented
848	#3114	C₂×C₃₁	1	1	yes	characteristic, complemented
849	#3111	C₂×C₃₁	1	1	yes	characteristic, complemented
850	#3102	C₂×C₃₁	1	1	yes	characteristic, complemented
851	#3040	C₂×C₃₁	1	1	yes	characteristic, complemented
852	#3035	C₂×C₃₁	1	1	yes	characteristic, complemented
853	C₂×#463	C₂×C₃₁	1	1	yes	characteristic, complemented
854	#2990	C₂×C₃₁	1	1	yes	characteristic, complemented
855	C₂²×C₃₁	—	2	1	no	—
856	C₂²×C₃₁	—	2	1	no	—
857	C₂²×C₃₁	—	2	1	no	—
858	C₂²×C₃₁	—	2	1	no	—
859	C₂²×C₃₁	—	2	1	no	—
860	C₂²×C₃₁	—	2	1	no	—
861	C₂²×C₃₁	—	2	2	no	—
862	C₂²×C₃₁	—	2	1	no	—
863	C₂²×C₃₁	—	2	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	—	4	1	no	—
873	C₂²×C₃₁	—	4	1	no	—
874	C₂²×C₃₁	—	4	1	no	—
875	C₂²×C₃₁	—	4	1	no	—
876	C₂²×C₃₁	—	4	1	no	—
877	C₂²×C₃₁	—	4	1	no	—
878	C₂²×C₃₁	—	8	4	no	—
879	C₂²×C₃₁	—	16	2	no	—
880	C₂²×C₃₁	—	16	2	no	—
881	C₂²×C₃₁	#575	1	2	yes	—
882	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
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	1	no	—
888	C₄×C₃₁	—	2	1	no	—
889	C₄×C₃₁	—	2	1	no	—
890	C₄×C₃₁	—	2	1	no	—
891	C₄×C₃₁	—	2	1	no	—
892	C₄×C₃₁	—	2	1	no	—
893	C₄×C₃₁	—	2	1	no	—
894	C₄×C₃₁	—	4	1	no	—
895	C₄×C₃₁	—	4	1	no	—
896	C₄×C₃₁	—	4	1	no	—
897	C₄×C₃₁	—	4	1	no	—
898	C₄×C₃₁	—	4	1	no	—
899	C₄×C₃₁	—	4	1	no	—
900	C₄×C₃₁	—	4	1	no	—
901	C₄×C₃₁	—	4	1	no	—
902	C₄×C₃₁	—	4	1	no	—
903	C₄×C₃₁	—	4	1	no	—
904	C₄×C₃₁	—	4	1	no	—
905	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
906	C₄×C₃₁	#585	1	1	yes	characteristic
907	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic, complemented
908	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic
909	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic, complemented
910	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic, complemented
911	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
912	C₂²×D₈	C₂²×C₃₁	1	1	yes	characteristic
913	#559	C₂²×C₃₁	1	1	yes	characteristic, complemented
914	#556	C₂²×C₃₁	1	1	yes	characteristic, complemented
915	#556	C₂²×C₃₁	1	1	yes	characteristic, complemented
916	#555	—	2	1	no	—
917	#555	C₂²×C₃₁	1	1	yes	characteristic, complemented
918	#554	C₂²×C₃₁	1	1	yes	characteristic, complemented
919	#553	—	2	1	no	—
920	#552	—	2	1	no	—
921	#552	C₂²×C₃₁	1	1	yes	characteristic
922	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
923	#551	—	2	1	no	—
924	#551	—	2	1	no	—
925	#551	—	2	1	no	—
926	#551	—	2	1	no	—
927	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
928	#548	C₂²×C₃₁	1	1	yes	characteristic
929	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
930	#547	C₂²×C₃₁	1	1	yes	characteristic, complemented
931	#546	—	2	1	no	—
932	#546	C₂²×C₃₁	1	1	yes	characteristic
933	#546	C₂²×C₃₁	1	1	yes	characteristic
934	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
935	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
936	D₄²	C₂²×C₃₁	1	1	yes	characteristic
937	#542	—	2	1	no	—
938	#538	—	2	1	no	—
939	#538	—	2	1	no	—
940	#533	C₂²×C₃₁	1	1	yes	characteristic, complemented
941	#532	C₂²×C₃₁	1	1	yes	characteristic, complemented
942	#529	—	2	1	no	—
943	#529	—	2	1	no	—
944	#529	C₂²×C₃₁	1	1	yes	characteristic
945	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
946	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
947	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
948	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
949	C₂×#124	C₂²×C₃₁	1	1	yes	characteristic
950	C₂×#124	C₂²×C₃₁	1	1	yes	characteristic, complemented
951	#525	—	2	1	no	—
952	#518	—	2	1	no	—
953	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic
954	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic, complemented
955	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic, complemented
956	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
957	C₂×#117	—	2	1	no	—
958	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
959	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
960	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
961	#496	C₂²×C₃₁	1	1	yes	characteristic
962	#495	C₂²×C₃₁	1	1	yes	characteristic
963	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
964	#491	C₂²×C₃₁	1	1	yes	characteristic, complemented
965	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
966	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
967	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
968	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
969	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
970	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
971	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
972	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
973	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
974	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
975	#480	C₂²×C₃₁	1	1	yes	characteristic
976	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
977	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
978	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
979	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
980	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
981	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
982	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
983	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
984	#475	C₂²×C₃₁	1	1	yes	characteristic, complemented
985	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
986	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
987	#469	C₂²×C₃₁	1	1	yes	characteristic
988	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
989	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
990	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
991	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
992	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
993	#466	C₂²×C₃₁	1	1	yes	characteristic
994	#465	C₂²×C₃₁	1	1	yes	characteristic
995	#465	C₂²×C₃₁	1	1	yes	characteristic
996	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
997	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
998	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
999	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1000	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1001	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1002	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1003	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1004	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1005	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1006	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1007	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1008	#463	C₂²×C₃₁	1	1	yes	characteristic
1009	#463	C₂²×C₃₁	1	1	yes	characteristic
1010	#463	C₂²×C₃₁	1	1	yes	characteristic
1011	#463	C₂²×C₃₁	1	1	yes	characteristic
1012	#463	C₂²×C₃₁	1	1	yes	characteristic
1013	#463	C₂²×C₃₁	1	1	yes	characteristic
1014	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1015	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1016	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1017	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1018	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1019	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1020	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1021	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1022	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
1023	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1027	#459	C₂²×C₃₁	1	1	yes	characteristic
1028	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1029	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1030	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1031	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1032	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1033	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1034	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1035	#450	C₂²×C₃₁	1	1	yes	characteristic
1036	#450	C₂²×C₃₁	1	1	yes	characteristic
1037	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1038	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1039	#449	C₂²×C₃₁	1	1	yes	characteristic
1040	#449	C₂²×C₃₁	1	1	yes	characteristic
1041	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1042	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1043	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1044	#447	C₂²×C₃₁	1	1	yes	characteristic
1045	#447	C₂²×C₃₁	1	1	yes	characteristic
1046	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1048	#442	C₂²×C₃₁	1	1	yes	characteristic
1049	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1050	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1051	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1052	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1053	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1054	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1055	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1056	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1057	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1058	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1059	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1060	#435	C₂²×C₃₁	1	1	yes	characteristic
1061	#435	C₂²×C₃₁	1	1	yes	characteristic
1062	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1063	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1064	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1065	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1066	#432	C₂²×C₃₁	1	1	yes	characteristic, complemented
1067	#432	C₂²×C₃₁	1	1	yes	characteristic, complemented
1068	#431	C₂²×C₃₁	1	1	yes	characteristic, complemented
1069	#423	C₂²×C₃₁	1	1	yes	characteristic, complemented
1070	C₂×C₄⋊C₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1071	C₂×C₄⋊C₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1072	#419	C₂²×C₃₁	1	1	yes	characteristic, complemented
1073	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1074	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1075	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1076	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic, complemented
1077	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic
1078	C₂×C₃₁	—	2	2	no	—
1079	C₂×C₃₁	—	4	1	no	—
1080	C₂×C₃₁	—	4	1	no	—
1081	C₂×C₃₁	—	4	2	no	—
1082	C₂×C₃₁	—	8	1	no	—
1083	C₂×C₃₁	—	8	1	no	—
1084	C₂×C₃₁	—	8	1	no	—
1085	C₂×C₃₁	—	8	1	no	—
1086	C₂×C₃₁	#3488	1	1	yes	characteristic
1087	C₂×C₃₁	C₂×#575	1	1	yes	characteristic
1088	C₂×C₃₁	#3584	1	1	yes	characteristic
1089	C₂×#41	D₄×C₃₁	1	1	yes	characteristic
1090	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1091	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1092	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1093	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1094	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1095	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1096	C₂²×D₄	—	2	1	no	—
1097	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1098	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1099	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1100	C₂³×C₄	—	2	1	no	—
1101	#137	—	4	2	no	—
1102	AGL(1,ℤ/8)	—	4	2	no	—
1103	#135	—	4	2	no	—
1104	#135	—	4	2	no	—
1105	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1106	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1107	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1108	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1109	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1110	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1111	C₂×SD₁₆	—	4	2	no	—
1112	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1113	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1114	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1115	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1116	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1117	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1118	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1119	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1120	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1121	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1122	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1123	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1124	C₂×D₈	—	4	2	no	—
1125	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1126	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1127	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1128	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1129	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1130	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1131	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1132	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1133	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1134	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1135	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1136	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1137	C₄⋊Q₈	—	2	1	no	—
1138	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1139	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1140	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1141	#127	C₂³×C₃₁	1	1	yes	characteristic
1142	#126	—	2	1	no	—
1143	#126	—	2	1	no	—
1144	#126	—	2	1	no	—
1145	#126	—	2	1	no	—
1146	#126	—	2	1	no	—
1147	#126	—	2	1	no	—
1148	#126	—	2	1	no	—
1149	#126	—	2	1	no	—
1150	#126	—	2	1	no	—
1151	#126	—	2	1	no	—
1152	#126	—	2	1	no	—
1153	#125	—	2	1	no	—
1154	#125	—	2	1	no	—
1155	#125	—	2	1	no	—
1156	#125	C₂³×C₃₁	1	1	yes	characteristic
1157	#125	C₂³×C₃₁	1	1	yes	characteristic
1158	#125	C₂³×C₃₁	1	1	yes	characteristic
1159	#124	—	2	1	no	—
1160	#124	—	2	1	no	—
1161	#124	—	2	1	no	—
1162	#124	—	2	1	no	—
1163	#124	—	2	1	no	—
1164	#124	—	2	1	no	—
1165	#124	—	2	1	no	—
1166	#124	—	2	1	no	—
1167	#124	—	2	1	no	—
1168	#124	C₂³×C₃₁	1	1	yes	characteristic
1169	#124	C₂³×C₃₁	1	1	yes	characteristic
1170	#124	C₂³×C₃₁	1	1	yes	characteristic
1171	#124	C₂³×C₃₁	1	1	yes	characteristic
1172	#124	C₂³×C₃₁	1	1	yes	characteristic
1173	#124	C₂³×C₃₁	1	1	yes	characteristic
1174	#124	C₂³×C₃₁	1	1	yes	characteristic
1175	#124	C₂³×C₃₁	1	1	yes	characteristic
1176	#124	C₂³×C₃₁	1	1	yes	characteristic
1177	#123	—	2	1	no	—
1178	#123	—	2	1	no	—
1179	#123	—	2	1	no	—
1180	#123	—	2	1	no	—
1181	#123	—	2	1	no	—
1182	#123	—	2	1	no	—
1183	#123	—	2	1	no	—
1184	#123	—	2	1	no	—
1185	#123	—	2	1	no	—
1186	#123	—	2	1	no	—
1187	#123	—	2	1	no	—
1188	#123	—	2	1	no	—
1189	#123	—	2	1	no	—
1190	#123	—	2	1	no	—
1191	#123	—	2	1	no	—
1192	C₂²⋊Q₈	—	2	1	no	—
1193	C₂²⋊Q₈	—	2	1	no	—
1194	C₂²⋊Q₈	—	2	1	no	—
1195	C₂²⋊Q₈	—	2	1	no	—
1196	C₂²⋊Q₈	—	2	1	no	—
1197	C₂²⋊Q₈	—	2	1	no	—
1198	C₂²⋊Q₈	—	2	1	no	—
1199	C₂²⋊Q₈	—	2	1	no	—
1200	C₂²⋊Q₈	—	2	1	no	—
1201	C₂²⋊Q₈	—	2	1	no	—
1202	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1203	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1204	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1205	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1206	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1207	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1208	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1209	#121	—	2	1	no	—
1210	#121	—	2	1	no	—
1211	#121	—	2	1	no	—
1212	#121	—	2	1	no	—
1213	#121	—	2	1	no	—
1214	#121	—	2	1	no	—
1215	#121	—	2	1	no	—
1216	#121	—	2	1	no	—
1217	#121	—	2	1	no	—
1218	#121	—	2	1	no	—
1219	#121	—	2	1	no	—
1220	#121	C₂³×C₃₁	1	1	yes	characteristic
1221	#121	C₂³×C₃₁	1	1	yes	characteristic
1222	#121	C₂³×C₃₁	1	1	yes	characteristic
1223	#121	C₂³×C₃₁	1	1	yes	characteristic
1224	#121	C₂³×C₃₁	1	1	yes	characteristic
1225	#120	—	2	1	no	—
1226	#120	—	2	1	no	—
1227	#120	—	2	1	no	—
1228	#120	—	2	1	no	—
1229	#120	—	2	1	no	—
1230	#120	—	2	1	no	—
1231	C₄×Q₈	—	2	1	no	—
1232	C₄×Q₈	D₄×C₃₁	1	1	yes	characteristic
1233	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1234	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1235	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1236	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1237	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1238	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1239	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1240	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
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	—	2	1	no	—
1249	C₄×D₄	—	2	1	no	—
1250	C₄×D₄	—	2	1	no	—
1251	C₄×D₄	—	2	1	no	—
1252	C₄×D₄	—	2	1	no	—
1253	C₄×D₄	—	2	1	no	—
1254	C₄×D₄	—	2	1	no	—
1255	C₄×D₄	—	2	1	no	—
1256	C₄×D₄	—	2	1	no	—
1257	C₄×D₄	—	2	1	no	—
1258	C₄×D₄	D₄×C₃₁	1	1	yes	characteristic
1259	C₄×D₄	D₄×C₃₁	1	1	yes	characteristic
1260	C₄×D₄	D₄×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	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1266	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1267	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1268	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1269	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1270	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1271	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1272	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1273	#117	—	2	1	no	—
1274	#117	—	2	1	no	—
1275	#117	—	2	1	no	—
1276	#117	—	2	1	no	—
1277	#117	—	2	1	no	—
1278	#117	—	2	1	no	—
1279	#117	—	2	1	no	—
1280	#117	—	2	1	no	—
1281	#117	—	2	1	no	—
1282	#117	—	2	1	no	—
1283	#117	—	2	1	no	—
1284	#117	—	2	1	no	—
1285	#117	—	2	1	no	—
1286	#117	D₄×C₃₁	1	1	yes	characteristic
1287	#117	D₄×C₃₁	1	1	yes	characteristic
1288	#117	D₄×C₃₁	1	1	yes	characteristic
1289	#117	C₂³×C₃₁	1	1	yes	characteristic
1290	#117	C₂³×C₃₁	1	1	yes	characteristic
1291	C₂×C₄⋊C₄	—	2	1	no	—
1292	C₂×C₄⋊C₄	—	2	1	no	—
1293	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1294	C₂×C₂²⋊C₄	—	2	1	no	—
1295	C₂×C₂²⋊C₄	—	2	1	no	—
1296	C₂×C₂²⋊C₄	—	2	1	no	—
1297	C₂×C₂²⋊C₄	—	2	1	no	—
1298	C₂×C₂²⋊C₄	—	2	1	no	—
1299	C₂×C₂²⋊C₄	—	2	1	no	—
1300	C₂×C₂²⋊C₄	—	2	1	no	—
1301	C₂×C₂²⋊C₄	—	2	1	no	—
1302	C₂×C₂²⋊C₄	—	2	1	no	—
1303	C₂×C₄²	—	2	1	no	—
1304	C₂×C₄²	—	2	1	no	—
1305	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1306	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1307	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1308	#107	C₂³×C₃₁	1	1	yes	characteristic
1309	#107	C₂³×C₃₁	1	1	yes	characteristic
1310	#107	C₂³×C₃₁	1	1	yes	characteristic
1311	#107	C₂³×C₃₁	1	1	yes	characteristic
1312	#106	C₂³×C₃₁	1	1	yes	characteristic
1313	#106	C₂³×C₃₁	1	1	yes	characteristic
1314	#106	C₂³×C₃₁	1	1	yes	characteristic
1315	#106	C₂³×C₃₁	1	1	yes	characteristic
1316	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1317	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1318	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1319	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1320	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1321	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1322	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1323	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1324	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1325	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1326	#103	C₂³×C₃₁	1	1	yes	characteristic
1327	#103	C₂³×C₃₁	1	1	yes	characteristic
1328	#103	C₂³×C₃₁	1	1	yes	characteristic
1329	#103	C₂³×C₃₁	1	1	yes	characteristic
1330	#103	C₂³×C₃₁	1	1	yes	characteristic
1331	#103	C₂³×C₃₁	1	1	yes	characteristic
1332	#103	C₂³×C₃₁	1	1	yes	characteristic
1333	#103	C₂³×C₃₁	1	1	yes	characteristic
1334	#103	C₂³×C₃₁	1	1	yes	characteristic
1335	#103	C₂³×C₃₁	1	1	yes	characteristic
1336	#103	C₂³×C₃₁	1	1	yes	characteristic
1337	#103	C₂³×C₃₁	1	1	yes	characteristic
1338	#103	C₂³×C₃₁	1	1	yes	characteristic
1339	#103	C₂³×C₃₁	1	1	yes	characteristic
1340	#103	C₂³×C₃₁	1	1	yes	characteristic
1341	#103	C₂³×C₃₁	1	1	yes	characteristic
1342	#102	C₂³×C₃₁	1	1	yes	characteristic
1343	#102	C₂³×C₃₁	1	1	yes	characteristic
1344	#102	C₂³×C₃₁	1	1	yes	characteristic
1345	#102	C₂³×C₃₁	1	1	yes	characteristic
1346	#102	C₂³×C₃₁	1	1	yes	characteristic
1347	#102	C₂³×C₃₁	1	1	yes	characteristic
1348	#102	C₂³×C₃₁	1	1	yes	characteristic
1349	#102	C₂³×C₃₁	1	1	yes	characteristic
1350	#102	C₂³×C₃₁	1	1	yes	characteristic
1351	#102	C₂³×C₃₁	1	1	yes	characteristic
1352	#102	C₂³×C₃₁	1	1	yes	characteristic
1353	#102	C₂³×C₃₁	1	1	yes	characteristic
1354	#102	C₂³×C₃₁	1	1	yes	characteristic
1355	#102	C₂³×C₃₁	1	1	yes	characteristic
1356	#102	C₂³×C₃₁	1	1	yes	characteristic
1357	#102	C₂³×C₃₁	1	1	yes	characteristic
1358	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1359	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1360	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1361	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1362	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1363	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1364	#97	C₂³×C₃₁	1	1	yes	characteristic
1365	#97	C₂³×C₃₁	1	1	yes	characteristic
1366	#97	C₂³×C₃₁	1	1	yes	characteristic
1367	#97	C₂³×C₃₁	1	1	yes	characteristic
1368	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1369	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1370	C₃₁	#61990	1	1	yes	characteristic, direct product factor, Sylow
1371	C₂⁴	—	2	1	no	—
1372	C₂⁴	—	2	1	no	—
1373	C₂⁴	—	2	1	no	—
1374	#41	—	2	2	no	—
1375	#41	—	2	2	no	—
1376	#41	—	4	2	no	—
1377	#41	—	4	1	no	—
1378	#41	—	4	1	no	—
1379	#41	—	4	1	no	—
1380	#41	—	4	1	no	—
1381	#41	—	4	1	no	—
1382	#41	—	4	1	no	—
1383	C₂×Q₈	—	2	1	no	—
1384	C₂×Q₈	—	2	1	no	—
1385	C₂×Q₈	—	2	1	no	—
1386	C₂×Q₈	—	4	1	no	—
1387	C₂×Q₈	—	4	1	no	—
1388	C₂×Q₈	—	4	1	no	—
1389	C₂×Q₈	—	4	1	no	—
1390	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1391	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1392	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1393	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1394	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1395	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1396	C₂×D₄	—	2	2	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	—	2	1	no	—
1405	C₂×D₄	—	2	1	no	—
1406	C₂×D₄	—	2	1	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	2	1	no	—
1410	C₂×D₄	—	2	1	no	—
1411	C₂×D₄	—	4	1	no	—
1412	C₂×D₄	—	4	1	no	—
1413	C₂×D₄	—	4	1	no	—
1414	C₂×D₄	—	4	1	no	—
1415	C₂×D₄	—	4	1	no	—
1416	C₂×D₄	—	4	4	no	—
1417	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1418	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1419	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1420	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1421	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1422	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1423	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1424	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
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	—	2	1	no	—
1439	C₂²×C₄	—	2	1	no	—
1440	C₂²×C₄	—	2	1	no	—
1441	C₂²×C₄	—	4	4	no	—
1442	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1443	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1444	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1445	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1446	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1447	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1448	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1449	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1450	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1451	Q₁₆	—	4	1	no	—
1452	Q₁₆	—	4	1	no	—
1453	Q₁₆	—	4	1	no	—
1454	Q₁₆	—	4	1	no	—
1455	Q₁₆	—	4	1	no	—
1456	Q₁₆	—	4	1	no	—
1457	SD₁₆	—	2	2	no	—
1458	SD₁₆	—	2	2	no	—
1459	SD₁₆	—	2	2	no	—
1460	SD₁₆	—	4	1	no	—
1461	SD₁₆	—	4	1	no	—
1462	SD₁₆	—	4	1	no	—
1463	SD₁₆	—	4	1	no	—
1464	SD₁₆	—	4	1	no	—
1465	SD₁₆	—	4	1	no	—
1466	SD₁₆	—	4	1	no	—
1467	SD₁₆	—	4	1	no	—
1468	SD₁₆	—	4	1	no	—
1469	D₈	—	2	2	no	—
1470	D₈	—	2	2	no	—
1471	D₈	—	2	2	no	—
1472	D₈	—	4	1	no	—
1473	D₈	—	4	1	no	—
1474	D₈	—	4	1	no	—
1475	M₁₆	—	4	1	no	—
1476	M₁₆	—	4	1	no	—
1477	C₂×C₈	—	4	1	no	—
1478	C₂×C₈	—	4	1	no	—
1479	C₂×C₈	—	4	1	no	—
1480	C₂×C₈	—	4	1	no	—
1481	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1482	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1483	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1484	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1485	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1486	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1487	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1488	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
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	—	2	1	no	—
1495	C₄⋊C₄	—	2	1	no	—
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	2	1	no	—
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	2	1	no	—
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	1	no	—
1507	C₄⋊C₄	—	2	1	no	—
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1516	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1517	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1518	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1519	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1520	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1521	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1522	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1523	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1524	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1525	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1526	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
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	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1569	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1570	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1571	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1572	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1573	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1574	C₄²	—	2	1	no	—
1575	C₄²	—	2	1	no	—
1576	C₄²	—	2	1	no	—
1577	C₄²	—	2	1	no	—
1578	C₄²	—	2	1	no	—
1579	C₄²	—	2	1	no	—
1580	C₄²	—	2	1	no	—
1581	C₄²	—	2	1	no	—
1582	C₄²	—	2	1	no	—
1583	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1584	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1585	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1586	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1587	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1588	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1589	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1590	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1591	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1592	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1593	C₂³	—	2	1	no	—
1594	C₂³	—	2	1	no	—
1595	C₂³	—	2	1	no	—
1596	C₂³	—	2	1	no	—
1597	C₂³	—	2	1	no	—
1598	C₂³	—	4	2	no	—
1599	C₂³	—	4	2	no	—
1600	C₂³	—	4	2	no	—
1601	C₂³	—	4	2	no	—
1602	C₂³	—	8	1	no	—
1603	C₂³	—	8	1	no	—
1604	C₂³	—	8	1	no	—
1605	C₂³	—	8	1	no	—
1606	C₂³	—	8	1	no	—
1607	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1608	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1609	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1610	Q₈	—	2	1	no	—
1611	Q₈	—	2	1	no	—
1612	Q₈	—	2	1	no	—
1613	Q₈	—	2	1	no	—
1614	Q₈	—	2	1	no	—
1615	Q₈	—	2	1	no	—
1616	Q₈	—	2	1	no	—
1617	Q₈	—	2	1	no	—
1618	Q₈	—	2	1	no	—
1619	Q₈	—	2	1	no	—
1620	Q₈	—	4	1	no	—
1621	Q₈	—	8	1	no	—
1622	Q₈	—	8	1	no	—
1623	Q₈	—	8	1	no	—
1624	D₄	—	2	2	no	—
1625	D₄	—	2	2	no	—
1626	D₄	—	2	1	no	—
1627	D₄	—	2	1	no	—
1628	D₄	—	2	1	no	—
1629	D₄	—	2	1	no	—
1630	D₄	—	2	1	no	—
1631	D₄	—	2	1	no	—
1632	D₄	—	2	1	no	—
1633	D₄	—	2	1	no	—
1634	D₄	—	2	1	no	—
1635	D₄	—	4	1	no	—
1636	D₄	—	4	2	no	—
1637	D₄	—	4	2	no	—
1638	D₄	—	4	2	no	—
1639	D₄	—	4	2	no	—
1640	D₄	—	4	2	no	—
1641	D₄	—	4	2	no	—
1642	D₄	—	8	1	no	—
1643	D₄	—	8	1	no	—
1644	D₄	—	8	1	no	—
1645	D₄	—	8	1	no	—
1646	D₄	—	8	1	no	—
1647	D₄	—	8	1	no	—
1648	D₄	—	8	1	no	—
1649	D₄	—	8	1	no	—
1650	D₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
1651	C₂×C₄	—	2	2	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	2	1	no	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	2	1	no	—
1660	C₂×C₄	—	2	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	4	1	no	—
1670	C₂×C₄	—	4	1	no	—
1671	C₂×C₄	—	4	1	no	—
1672	C₂×C₄	—	4	1	no	—
1673	C₂×C₄	—	4	1	no	—
1674	C₂×C₄	—	4	2	no	—
1675	C₂×C₄	—	4	2	no	—
1676	C₂×C₄	—	4	2	no	—
1677	C₂×C₄	—	4	2	no	—
1678	C₂×C₄	—	4	2	no	—
1679	C₂×C₄	—	4	2	no	—
1680	C₂×C₄	—	4	2	no	—
1681	C₂×C₄	—	4	2	no	—
1682	C₂×C₄	—	8	1	no	—
1683	C₂×C₄	—	8	1	no	—
1684	C₂×C₄	—	8	1	no	—
1685	C₂×C₄	—	8	1	no	—
1686	C₂×C₄	—	8	1	no	—
1687	C₂×C₄	—	8	1	no	—
1688	C₂×C₄	—	8	1	no	—
1689	C₂×C₄	—	8	1	no	—
1690	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1691	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1692	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1693	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1694	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1695	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1696	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1697	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1698	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1699	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1700	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1701	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1702	C₈	—	2	1	no	—
1703	C₈	—	2	1	no	—
1704	C₈	—	2	1	no	—
1705	C₈	—	2	1	no	—
1706	C₈	—	2	1	no	—
1707	C₈	—	2	1	no	—
1708	C₈	—	2	1	no	—
1709	C₈	—	2	1	no	—
1710	C₂²	—	2	1	no	—
1711	C₂²	—	2	1	no	—
1712	C₂²	—	2	1	no	—
1713	C₂²	—	2	1	no	—
1714	C₂²	—	2	2	no	—
1715	C₂²	—	2	1	no	—
1716	C₂²	—	2	1	no	—
1717	C₂²	—	2	1	no	—
1718	C₂²	—	2	1	no	—
1719	C₂²	—	4	1	no	—
1720	C₂²	—	4	1	no	—
1721	C₂²	—	4	1	no	—
1722	C₂²	—	4	1	no	—
1723	C₂²	—	4	1	no	—
1724	C₂²	—	4	1	no	—
1725	C₂²	—	4	1	no	—
1726	C₂²	—	4	1	no	—
1727	C₂²	—	4	1	no	—
1728	C₂²	—	4	1	no	—
1729	C₂²	—	4	1	no	—
1730	C₂²	—	4	1	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	8	4	no	—
1734	C₂²	—	16	2	no	—
1735	C₂²	—	16	2	no	—
1736	C₂²	C₃₁×#575	1	2	yes	—
1737	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1738	C₄	—	2	1	no	—
1739	C₄	—	2	1	no	—
1740	C₄	—	2	1	no	—
1741	C₄	—	2	1	no	—
1742	C₄	—	2	1	no	—
1743	C₄	—	2	1	no	—
1744	C₄	—	2	1	no	—
1745	C₄	—	2	1	no	—
1746	C₄	—	2	1	no	—
1747	C₄	—	2	1	no	—
1748	C₄	—	2	1	no	—
1749	C₄	—	4	1	no	—
1750	C₄	—	4	1	no	—
1751	C₄	—	4	1	no	—
1752	C₄	—	4	1	no	—
1753	C₄	—	4	1	no	—
1754	C₄	—	4	1	no	—
1755	C₄	—	4	1	no	—
1756	C₄	—	4	1	no	—
1757	C₄	—	4	1	no	—
1758	C₄	—	4	1	no	—
1759	C₄	—	4	1	no	—
1760	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1761	C₄	C₃₁×#585	1	1	yes	characteristic
1762	C₂	—	2	2	no	—
1763	C₂	—	4	1	no	—
1764	C₂	—	4	1	no	—
1765	C₂	—	4	2	no	—
1766	C₂	—	8	1	no	—
1767	C₂	—	8	1	no	—
1768	C₂	—	8	1	no	—
1769	C₂	—	8	1	no	—
1770	C₂	C₃₁×#3488	1	1	yes	characteristic
1771	C₂	C₂×C₃₁×#575	1	1	yes	characteristic
1772	C₂	C₃₁×#3584	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 ◁ C₄×#41×C₃₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3514	C₂	semidirect
2. C₃₁×#3475	C₂	semidirect
3. C₃₁×#3402	C₂	semidirect
4. C₃₁×#3401	C₂	semidirect
5. C₃₁×#3376	C₂	semidirect
6. C₃₁×#3370	C₂	semidirect
7. C₃₁×#3321	C₂	semidirect
8. C₃₁×#3319	C₂	semidirect
9. C₃₁×#3312	C₂	semidirect
10. C₃₁×#3310	C₂	semidirect
11. C₃₁×#3300	C₂	semidirect
12. C₃₁×#3296	C₂	semidirect
13. C₃₁×#3282	C₂	semidirect
14. C₃₁×#3280	C₂	semidirect
15. C₃₁×#3269	C₂	semidirect
16. C₃₁×#3267	C₂	semidirect
17. C₃₁×#3266	C₂	semidirect
18. C₃₁×#3264	C₂	semidirect
19. C₃₁×#3256	C₂	semidirect
20. C₃₁×#3250	C₂	semidirect
21. C₃₁×#3248	C₂	semidirect
22. C₃₁×#3219	C₂	semidirect
23. C₃₁×#3215	C₂	semidirect
24. C₃₁×#3211	C₂	semidirect
25. C₃₁×#3114	C₂	semidirect
26. C₃₁×#3111	C₂	semidirect
27. C₃₁×#3102	C₂	semidirect
28. C₃₁×#3040	C₂	semidirect
29. C₃₁×#3035	C₂	semidirect
30. C₂×C₃₁×#463	C₂	semidirect
31. C₃₁×#2990	C₂	semidirect
32. C₂×C₃₁×#137	C₂²	semidirect
34. C₂×C₃₁×#135	C₂²	semidirect
35. C₂×C₃₁×#135	C₂²	semidirect
36. C₂²×SD₁₆×C₃₁	C₂²	semidirect
38. C₃₁×#559	C₂²	semidirect
39. C₃₁×#556	C₂²	semidirect
40. C₃₁×#556	C₂²	semidirect
42. C₃₁×#555	C₂²	semidirect
43. C₃₁×#554	C₂²	semidirect
47. C₃₁×#552	C₂²	semidirect
54. C₃₁×#548	C₂²	semidirect
55. C₃₁×#547	C₂²	semidirect
59. C₃₁×#546	C₂²	semidirect
60. C₃₁×#546	C₂²	semidirect
65. C₃₁×#533	C₂²	semidirect
66. C₃₁×#532	C₂²	semidirect
70. C₃₁×#529	C₂²	semidirect
71. C₃₁×#529	C₂²	semidirect
72. C₃₁×#529	C₂²	semidirect
73. C₃₁×#529	C₂²	semidirect
75. C₂×C₃₁×#124	C₂²	semidirect
79. C₄×#41×C₃₁	C₂²	semidirect
80. C₄×#41×C₃₁	C₂²	semidirect
81. C₂×C₄×D₄×C₃₁	C₂²	semidirect
83. C₃₁×#497	C₂²	semidirect
84. C₃₁×#497	C₂²	semidirect
85. C₃₁×#497	C₂²	semidirect
88. C₃₁×#495	C₂²	semidirect
89. C₃₁×#491	C₂²	semidirect
90. C₃₁×#490	C₂²	semidirect
91. C₃₁×#489	C₂²	semidirect
92. C₃₁×#489	C₂²	semidirect
93. C₃₁×#488	C₂²	semidirect
94. C₃₁×#488	C₂²	semidirect
95. C₃₁×#485	C₂²	semidirect
96. C₃₁×#485	C₂²	semidirect
97. C₃₁×#483	C₂²	semidirect
98. C₃₁×#482	C₂²	semidirect
99. C₃₁×#482	C₂²	semidirect
101. C₃₁×#479	C₂²	semidirect
102. C₃₁×#479	C₂²	semidirect
103. C₃₁×#479	C₂²	semidirect
104. C₃₁×#479	C₂²	semidirect
105. C₃₁×#478	C₂²	semidirect
106. C₃₁×#478	C₂²	semidirect
107. C₃₁×#478	C₂²	semidirect
108. C₃₁×#478	C₂²	semidirect
109. C₃₁×#475	C₂²	semidirect
110. C₃₁×#474	C₂²	semidirect
111. C₃₁×#470	C₂²	semidirect
113. C₃₁×#468	C₂²	semidirect
114. C₃₁×#468	C₂²	semidirect
115. C₃₁×#467	C₂²	semidirect
116. C₃₁×#467	C₂²	semidirect
117. C₃₁×#467	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×#464	C₂²	semidirect
127. C₃₁×#464	C₂²	semidirect
128. C₃₁×#464	C₂²	semidirect
129. C₃₁×#464	C₂²	semidirect
130. C₃₁×#464	C₂²	semidirect
131. C₃₁×#464	C₂²	semidirect
132. C₃₁×#464	C₂²	semidirect
139. C₃₁×#463	C₂²	semidirect
140. C₃₁×#463	C₂²	semidirect
141. C₃₁×#463	C₂²	semidirect
142. C₃₁×#463	C₂²	semidirect
143. C₃₁×#463	C₂²	semidirect
144. C₃₁×#463	C₂²	semidirect
145. C₃₁×#463	C₂²	semidirect
146. C₃₁×#463	C₂²	semidirect
147. C₃₁×#462	C₂²	semidirect
148. C₃₁×#462	C₂²	semidirect
149. C₃₁×#461	C₂²	semidirect
150. C₃₁×#461	C₂²	semidirect
151. C₃₁×#460	C₂²	semidirect
153. C₃₁×#452	C₂²	semidirect
154. C₃₁×#452	C₂²	semidirect
155. C₃₁×#452	C₂²	semidirect
156. C₃₁×#452	C₂²	semidirect
157. C₃₁×#451	C₂²	semidirect
158. C₃₁×#451	C₂²	semidirect
159. C₃₁×#451	C₂²	semidirect
162. C₃₁×#450	C₂²	semidirect
163. C₃₁×#450	C₂²	semidirect
166. C₃₁×#449	C₂²	semidirect
167. C₃₁×#449	C₂²	semidirect
168. C₃₁×#448	C₂²	semidirect
171. C₃₁×#446	C₂²	semidirect
172. C₃₁×#446	C₂²	semidirect
174. C₃₁×#442	C₂²	semidirect
175. C₃₁×#442	C₂²	semidirect
176. C₃₁×#441	C₂²	semidirect
177. C₃₁×#440	C₂²	semidirect
178. C₃₁×#440	C₂²	semidirect
179. C₃₁×#440	C₂²	semidirect
180. C₃₁×#440	C₂²	semidirect
181. C₄×Q₁₆×C₃₁	C₂²	semidirect
182. C₄×SD₁₆×C₃₁	C₂²	semidirect
183. C₄×SD₁₆×C₃₁	C₂²	semidirect
184. C₄×D₈×C₃₁	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×#432	C₂²	semidirect
192. C₃₁×#432	C₂²	semidirect
193. C₃₁×#431	C₂²	semidirect
194. C₃₁×#423	C₂²	semidirect
195. C₂×C₃₁×C₄⋊C₈	C₂²	semidirect
196. C₂×C₃₁×C₄⋊C₈	C₂²	semidirect
197. C₃₁×#419	C₂²	semidirect
198. C₃₁×#418	C₂²	semidirect
199. C₃₁×#416	C₂²	semidirect
200. C₃₁×#416	C₂²	semidirect
201. C₂×C₃₁×#103	C₂²	semidirect
706. #61990	C₃₁	direct (N × H)
824. #3514	C₂×C₃₁	semidirect
825. #3475	C₂×C₃₁	semidirect
826. #3402	C₂×C₃₁	semidirect
827. #3401	C₂×C₃₁	semidirect
828. #3376	C₂×C₃₁	semidirect
829. #3370	C₂×C₃₁	semidirect
830. #3321	C₂×C₃₁	semidirect
831. #3319	C₂×C₃₁	semidirect
832. #3312	C₂×C₃₁	semidirect
833. #3310	C₂×C₃₁	semidirect
834. #3300	C₂×C₃₁	semidirect
835. #3296	C₂×C₃₁	semidirect
836. #3282	C₂×C₃₁	semidirect
837. #3280	C₂×C₃₁	semidirect
838. #3269	C₂×C₃₁	semidirect
839. #3267	C₂×C₃₁	semidirect
840. #3266	C₂×C₃₁	semidirect
841. #3264	C₂×C₃₁	semidirect
842. #3256	C₂×C₃₁	semidirect
843. #3250	C₂×C₃₁	semidirect
844. #3248	C₂×C₃₁	semidirect
845. #3219	C₂×C₃₁	semidirect
846. #3215	C₂×C₃₁	semidirect
847. #3211	C₂×C₃₁	semidirect
848. #3114	C₂×C₃₁	semidirect
849. #3111	C₂×C₃₁	semidirect
850. #3102	C₂×C₃₁	semidirect
851. #3040	C₂×C₃₁	semidirect
852. #3035	C₂×C₃₁	semidirect
853. C₂×#463	C₂×C₃₁	semidirect
854. #2990	C₂×C₃₁	semidirect
907. C₂×#137	C₂²×C₃₁	semidirect
909. C₂×#135	C₂²×C₃₁	semidirect
910. C₂×#135	C₂²×C₃₁	semidirect
911. C₂²×SD₁₆	C₂²×C₃₁	semidirect
913. #559	C₂²×C₃₁	semidirect
914. #556	C₂²×C₃₁	semidirect
915. #556	C₂²×C₃₁	semidirect
917. #555	C₂²×C₃₁	semidirect
918. #554	C₂²×C₃₁	semidirect
922. #552	C₂²×C₃₁	semidirect
929. #548	C₂²×C₃₁	semidirect
930. #547	C₂²×C₃₁	semidirect
934. #546	C₂²×C₃₁	semidirect
935. #546	C₂²×C₃₁	semidirect
940. #533	C₂²×C₃₁	semidirect
941. #532	C₂²×C₃₁	semidirect
945. #529	C₂²×C₃₁	semidirect
946. #529	C₂²×C₃₁	semidirect
947. #529	C₂²×C₃₁	semidirect
948. #529	C₂²×C₃₁	semidirect
950. C₂×#124	C₂²×C₃₁	semidirect
954. C₄×#41	C₂²×C₃₁	semidirect
955. C₄×#41	C₂²×C₃₁	semidirect
956. C₂×C₄×D₄	C₂²×C₃₁	semidirect
958. #497	C₂²×C₃₁	semidirect
959. #497	C₂²×C₃₁	semidirect
960. #497	C₂²×C₃₁	semidirect
963. #495	C₂²×C₃₁	semidirect
964. #491	C₂²×C₃₁	semidirect
965. #490	C₂²×C₃₁	semidirect
966. #489	C₂²×C₃₁	semidirect
967. #489	C₂²×C₃₁	semidirect
968. #488	C₂²×C₃₁	semidirect
969. #488	C₂²×C₃₁	semidirect
970. #485	C₂²×C₃₁	semidirect
971. #485	C₂²×C₃₁	semidirect
972. #483	C₂²×C₃₁	semidirect
973. #482	C₂²×C₃₁	semidirect
974. #482	C₂²×C₃₁	semidirect
976. #479	C₂²×C₃₁	semidirect
977. #479	C₂²×C₃₁	semidirect
978. #479	C₂²×C₃₁	semidirect
979. #479	C₂²×C₃₁	semidirect
980. #478	C₂²×C₃₁	semidirect
981. #478	C₂²×C₃₁	semidirect
982. #478	C₂²×C₃₁	semidirect
983. #478	C₂²×C₃₁	semidirect
984. #475	C₂²×C₃₁	semidirect
985. #474	C₂²×C₃₁	semidirect
986. #470	C₂²×C₃₁	semidirect
988. #468	C₂²×C₃₁	semidirect
989. #468	C₂²×C₃₁	semidirect
990. #467	C₂²×C₃₁	semidirect
991. #467	C₂²×C₃₁	semidirect
992. #467	C₂²×C₃₁	semidirect
996. #465	C₂²×C₃₁	semidirect
997. #465	C₂²×C₃₁	semidirect
998. #464	C₂²×C₃₁	semidirect
999. #464	C₂²×C₃₁	semidirect
1000. #464	C₂²×C₃₁	semidirect
1001. #464	C₂²×C₃₁	semidirect
1002. #464	C₂²×C₃₁	semidirect
1003. #464	C₂²×C₃₁	semidirect
1004. #464	C₂²×C₃₁	semidirect
1005. #464	C₂²×C₃₁	semidirect
1006. #464	C₂²×C₃₁	semidirect
1007. #464	C₂²×C₃₁	semidirect
1014. #463	C₂²×C₃₁	semidirect
1015. #463	C₂²×C₃₁	semidirect
1016. #463	C₂²×C₃₁	semidirect
1017. #463	C₂²×C₃₁	semidirect
1018. #463	C₂²×C₃₁	semidirect
1019. #463	C₂²×C₃₁	semidirect
1020. #463	C₂²×C₃₁	semidirect
1021. #463	C₂²×C₃₁	semidirect
1022. #462	C₂²×C₃₁	semidirect
1023. #462	C₂²×C₃₁	semidirect
1024. #461	C₂²×C₃₁	semidirect
1025. #461	C₂²×C₃₁	semidirect
1026. #460	C₂²×C₃₁	semidirect
1028. #452	C₂²×C₃₁	semidirect
1029. #452	C₂²×C₃₁	semidirect
1030. #452	C₂²×C₃₁	semidirect
1031. #452	C₂²×C₃₁	semidirect
1032. #451	C₂²×C₃₁	semidirect
1033. #451	C₂²×C₃₁	semidirect
1034. #451	C₂²×C₃₁	semidirect
1037. #450	C₂²×C₃₁	semidirect
1038. #450	C₂²×C₃₁	semidirect
1041. #449	C₂²×C₃₁	semidirect
1042. #449	C₂²×C₃₁	semidirect
1043. #448	C₂²×C₃₁	semidirect
1046. #446	C₂²×C₃₁	semidirect
1047. #446	C₂²×C₃₁	semidirect
1049. #442	C₂²×C₃₁	semidirect
1050. #442	C₂²×C₃₁	semidirect
1051. #441	C₂²×C₃₁	semidirect
1052. #440	C₂²×C₃₁	semidirect
1053. #440	C₂²×C₃₁	semidirect
1054. #440	C₂²×C₃₁	semidirect
1055. #440	C₂²×C₃₁	semidirect
1056. C₄×Q₁₆	C₂²×C₃₁	semidirect
1057. C₄×SD₁₆	C₂²×C₃₁	semidirect
1058. C₄×SD₁₆	C₂²×C₃₁	semidirect
1059. C₄×D₈	C₂²×C₃₁	semidirect
1062. #435	C₂²×C₃₁	semidirect
1063. #435	C₂²×C₃₁	semidirect
1064. C₈×D₄	C₂²×C₃₁	semidirect
1065. C₈×D₄	C₂²×C₃₁	semidirect
1066. #432	C₂²×C₃₁	semidirect
1067. #432	C₂²×C₃₁	semidirect
1068. #431	C₂²×C₃₁	semidirect
1069. #423	C₂²×C₃₁	semidirect
1070. C₂×C₄⋊C₈	C₂²×C₃₁	semidirect
1071. C₂×C₄⋊C₈	C₂²×C₃₁	semidirect
1072. #419	C₂²×C₃₁	semidirect
1073. #418	C₂²×C₃₁	semidirect
1074. #416	C₂²×C₃₁	semidirect
1075. #416	C₂²×C₃₁	semidirect
1076. C₂×#103	C₂²×C₃₁	semidirect
1370. C₃₁	#61990	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×#3514	2
C₃₁×#3475	2
C₃₁×#3402	2
C₃₁×#3401	2
C₃₁×#3376	2
C₃₁×#3370	2
C₃₁×#3321	2
C₃₁×#3319	2
C₃₁×#3312	2
C₃₁×#3310	2
C₃₁×#3300	2
C₃₁×#3296	2
C₃₁×#3282	2
C₃₁×#3280	2
C₃₁×#3269	2
C₃₁×#3267	2
C₃₁×#3266	2
C₃₁×#3264	2
C₃₁×#3256	2
C₃₁×#3250	2
C₃₁×#3248	2
C₃₁×#3219	2
C₃₁×#3215	2
C₃₁×#3211	2
C₃₁×#3114	2
C₃₁×#3111	2
C₃₁×#3102	2
C₃₁×#3040	2
C₃₁×#3035	2
C₂×C₃₁×#463	2
C₃₁×#2990	2
#61990	31

Subgroups — C31×#61990 #21518749

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61990 #21518749