Subgroups — C₃₁×#61971 #21518730

Order 7936.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1806 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×#3481	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3403	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×#3326	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3322	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3320	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3318	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3316	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3314	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3275	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3273	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3266	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3265	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3264	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3256	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3251	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3250	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3219	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3213	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×#3105	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#3040	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#3036	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₃₁×#463	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃₁×#2989	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×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃₁×AGL(1,ℤ/8)	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×#559	C₂²	1	1	yes	characteristic, complemented
40	C₃₁×#556	C₂²	1	1	yes	characteristic, complemented
41	C₃₁×#555	—	2	1	no	—
42	C₃₁×#554	C₂²	1	1	yes	characteristic, complemented
43	C₃₁×#554	C₂²	1	1	yes	characteristic, complemented
44	C₃₁×#553	—	2	1	no	—
45	C₃₁×#553	C₂²	1	1	yes	characteristic
46	C₃₁×#553	C₂²	1	1	yes	characteristic, complemented
47	C₃₁×#551	—	2	1	no	—
48	C₃₁×#551	—	2	1	no	—
49	C₃₁×#551	—	2	1	no	—
50	C₃₁×#551	—	2	1	no	—
51	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
52	C₃₁×#548	C₂²	1	1	yes	characteristic
53	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
54	C₃₁×#546	—	2	1	no	—
55	C₃₁×#546	—	2	1	no	—
56	C₃₁×#546	C₂²	1	1	yes	characteristic
57	C₃₁×#546	C₂²	1	1	yes	characteristic
58	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
59	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
60	D₄²×C₃₁	C₂²	1	1	yes	characteristic, complemented
61	D₄²×C₃₁	C₂²	1	1	yes	characteristic, complemented
62	C₃₁×#542	—	2	1	no	—
63	C₃₁×#538	—	2	1	no	—
64	C₃₁×#538	—	2	1	no	—
65	C₃₁×#532	C₂²	1	1	yes	characteristic, complemented
66	C₃₁×#532	C₂²	1	1	yes	characteristic, complemented
67	C₃₁×#529	—	2	1	no	—
68	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
69	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
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	C₂×C₃₁×#124	C₂²	1	1	yes	characteristic, complemented
74	C₂×C₃₁×#124	C₂²	1	1	yes	characteristic, complemented
75	C₃₁×#525	—	2	1	no	—
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	C₂×C₄×D₄×C₃₁	—	2	1	no	—
81	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
83	C₃₁×#497	C₂²	1	1	yes	characteristic, complemented
84	C₃₁×#496	C₂²	1	1	yes	characteristic
85	C₃₁×#496	C₂²	1	1	yes	characteristic, complemented
86	C₃₁×#496	C₂²	1	1	yes	characteristic, complemented
87	C₃₁×#495	C₂²	1	1	yes	characteristic, complemented
88	C₃₁×#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×#484	C₂²	1	1	yes	characteristic, complemented
97	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
98	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
99	C₃₁×#481	C₂²	1	1	yes	characteristic, complemented
100	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
101	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
102	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
103	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
104	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
105	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
106	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
108	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#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×#469	C₂²	1	1	yes	characteristic, complemented
114	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
115	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
116	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
117	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
118	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
119	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
120	C₃₁×#466	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×#463	C₂²	1	1	yes	characteristic
131	C₃₁×#463	C₂²	1	1	yes	characteristic
132	C₃₁×#463	C₂²	1	1	yes	characteristic
133	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
134	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
135	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
136	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
137	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
138	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
139	C₃₁×#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×#461	C₂²	1	1	yes	characteristic, complemented
148	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
149	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
150	C₃₁×#459	C₂²	1	1	yes	characteristic
151	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
152	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
153	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
154	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
155	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
156	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
157	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
158	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
159	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
160	C₃₁×#449	C₂²	1	1	yes	characteristic
161	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
162	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
163	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
164	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
165	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
166	C₃₁×#447	C₂²	1	1	yes	characteristic
167	C₃₁×#447	C₂²	1	1	yes	characteristic
168	C₃₁×#447	C₂²	1	1	yes	characteristic
169	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
170	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
171	C₃₁×#446	C₂²	1	1	yes	characteristic, complemented
172	C₃₁×#446	C₂²	1	1	yes	characteristic, complemented
173	C₃₁×#442	C₂²	1	1	yes	characteristic
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×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
182	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
183	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
185	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
186	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
187	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
188	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
189	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
190	C₃₁×#435	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	C₃₁×#423	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×#417	C₂²	1	1	yes	characteristic, complemented
200	C₃₁×#417	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, complemented
203	C₂×#41×C₃₁	—	2	1	no	—
204	C₂×#41×C₃₁	D₄	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	—	2	1	no	—
212	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
214	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
215	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₃₁	—	2	1	no	—
217	C₂³×C₄×C₃₁	—	2	1	no	—
218	C₃₁×#137	—	4	2	no	—
219	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
220	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
221	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
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×D₈×C₃₁	C₂³	1	1	yes	characteristic
246	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
247	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
248	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
249	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
250	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
251	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
252	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
253	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
254	C₃₁×C₄⋊Q₈	—	2	1	no	—
255	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
256	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
257	C₃₁×#127	C₂³	1	1	yes	characteristic
258	C₃₁×#127	C₂³	1	1	yes	characteristic
259	C₃₁×#126	—	2	1	no	—
260	C₃₁×#126	—	2	1	no	—
261	C₃₁×#126	—	2	1	no	—
262	C₃₁×#126	—	2	1	no	—
263	C₃₁×#126	—	2	1	no	—
264	C₃₁×#126	—	2	1	no	—
265	C₃₁×#126	—	2	1	no	—
266	C₃₁×#126	—	2	1	no	—
267	C₃₁×#126	—	2	1	no	—
268	C₃₁×#125	—	2	1	no	—
269	C₃₁×#125	C₂³	1	1	yes	characteristic
270	C₃₁×#125	C₂³	1	1	yes	characteristic
271	C₃₁×#125	C₂³	1	1	yes	characteristic
272	C₃₁×#124	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
282	C₃₁×#124	C₂³	1	1	yes	characteristic
283	C₃₁×#124	C₂³	1	1	yes	characteristic
284	C₃₁×#124	C₂³	1	1	yes	characteristic
285	C₃₁×#124	C₂³	1	1	yes	characteristic
286	C₃₁×#124	C₂³	1	1	yes	characteristic
287	C₃₁×#124	C₂³	1	1	yes	characteristic
288	C₃₁×#124	C₂³	1	1	yes	characteristic
289	C₃₁×#124	C₂³	1	1	yes	characteristic
290	C₃₁×#123	—	2	1	no	—
291	C₃₁×#123	—	2	1	no	—
292	C₃₁×#123	—	2	1	no	—
293	C₃₁×#123	—	2	1	no	—
294	C₃₁×#123	—	2	1	no	—
295	C₃₁×#123	—	2	1	no	—
296	C₃₁×#123	—	2	1	no	—
297	C₃₁×#123	—	2	1	no	—
298	C₃₁×#123	—	2	1	no	—
299	C₃₁×#123	—	2	1	no	—
300	C₃₁×#123	—	2	1	no	—
301	C₃₁×#123	—	2	1	no	—
302	C₃₁×#123	—	2	1	no	—
303	C₃₁×#123	—	2	1	no	—
304	C₃₁×#123	—	2	1	no	—
305	C₃₁×C₂²⋊Q₈	—	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	C₂³	1	1	yes	characteristic
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×#121	—	2	1	no	—
321	C₃₁×#121	—	2	1	no	—
322	C₃₁×#121	—	2	1	no	—
323	C₃₁×#121	—	2	1	no	—
324	C₃₁×#121	—	2	1	no	—
325	C₃₁×#121	—	2	1	no	—
326	C₃₁×#121	—	2	1	no	—
327	C₃₁×#121	—	2	1	no	—
328	C₃₁×#121	—	2	1	no	—
329	C₃₁×#121	—	2	1	no	—
330	C₃₁×#121	—	2	1	no	—
331	C₃₁×#121	—	2	1	no	—
332	C₃₁×#121	—	2	1	no	—
333	C₃₁×#121	C₂³	1	1	yes	characteristic
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×#121	C₂³	1	1	yes	characteristic
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	C₃₁×#120	—	2	1	no	—
346	C₃₁×#120	—	2	1	no	—
347	C₃₁×#120	—	2	1	no	—
348	C₄×Q₈×C₃₁	D₄	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	—	2	1	no	—
373	C₄×D₄×C₃₁	—	2	1	no	—
374	C₄×D₄×C₃₁	—	2	1	no	—
375	C₄×D₄×C₃₁	—	2	1	no	—
376	C₄×D₄×C₃₁	—	2	1	no	—
377	C₄×D₄×C₃₁	D₄	1	1	yes	characteristic
378	C₄×D₄×C₃₁	D₄	1	1	yes	characteristic
379	C₄×D₄×C₃₁	D₄	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	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
388	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
389	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
390	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
391	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
392	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
393	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
394	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	—	2	1	no	—
401	C₃₁×#117	D₄	1	1	yes	characteristic
402	C₃₁×#117	D₄	1	1	yes	characteristic
403	C₃₁×#117	D₄	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	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×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×#102	C₂³	1	1	yes	characteristic
455	C₃₁×#102	C₂³	1	1	yes	characteristic
456	C₃₁×#102	C₂³	1	1	yes	characteristic
457	C₃₁×#102	C₂³	1	1	yes	characteristic
458	C₃₁×#102	C₂³	1	1	yes	characteristic
459	C₃₁×#102	C₂³	1	1	yes	characteristic
460	C₃₁×#102	C₂³	1	1	yes	characteristic
461	C₃₁×#102	C₂³	1	1	yes	characteristic
462	C₃₁×#102	C₂³	1	1	yes	characteristic
463	C₃₁×#102	C₂³	1	1	yes	characteristic
464	C₃₁×#102	C₂³	1	1	yes	characteristic
465	C₃₁×#102	C₂³	1	1	yes	characteristic
466	C₃₁×#102	C₂³	1	1	yes	characteristic
467	C₃₁×#102	C₂³	1	1	yes	characteristic
468	C₃₁×#102	C₂³	1	1	yes	characteristic
469	C₃₁×#102	C₂³	1	1	yes	characteristic
470	C₃₁×#102	C₂³	1	1	yes	characteristic
471	C₃₁×#102	C₂³	1	1	yes	characteristic
472	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
473	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
474	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₃₁×#97	C₂³	1	1	yes	characteristic
479	C₃₁×#97	C₂³	1	1	yes	characteristic
480	C₃₁×#97	C₂³	1	1	yes	characteristic
481	C₃₁×#97	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
484	C₂⁴×C₃₁	—	2	1	no	—
485	C₂⁴×C₃₁	—	2	1	no	—
486	C₂⁴×C₃₁	—	2	1	no	—
487	C₂⁴×C₃₁	—	2	1	no	—
488	#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	—	8	2	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×D₄×C₃₁	—	2	2	no	—
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	—	2	1	no	—
525	C₂×D₄×C₃₁	—	2	1	no	—
526	C₂×D₄×C₃₁	—	2	1	no	—
527	C₂×D₄×C₃₁	—	2	1	no	—
528	C₂×D₄×C₃₁	—	4	1	no	—
529	C₂×D₄×C₃₁	—	4	1	no	—
530	C₂×D₄×C₃₁	—	4	1	no	—
531	C₂×D₄×C₃₁	—	4	1	no	—
532	C₂×D₄×C₃₁	—	4	1	no	—
533	C₂×D₄×C₃₁	—	4	1	no	—
534	C₂×D₄×C₃₁	—	4	4	no	—
535	C₂×D₄×C₃₁	—	4	4	no	—
536	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
537	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
538	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
539	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
540	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
541	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
542	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
543	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
544	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₃₁	—	2	1	no	—
546	C₂²×C₄×C₃₁	—	2	1	no	—
547	C₂²×C₄×C₃₁	—	2	1	no	—
548	C₂²×C₄×C₃₁	—	2	1	no	—
549	C₂²×C₄×C₃₁	—	2	1	no	—
550	C₂²×C₄×C₃₁	—	2	1	no	—
551	C₂²×C₄×C₃₁	—	2	1	no	—
552	C₂²×C₄×C₃₁	—	2	1	no	—
553	C₂²×C₄×C₃₁	—	2	1	no	—
554	C₂²×C₄×C₃₁	—	2	1	no	—
555	C₂²×C₄×C₃₁	—	2	1	no	—
556	C₂²×C₄×C₃₁	—	2	1	no	—
557	C₂²×C₄×C₃₁	—	2	1	no	—
558	C₂²×C₄×C₃₁	—	2	1	no	—
559	C₂²×C₄×C₃₁	—	2	1	no	—
560	C₂²×C₄×C₃₁	—	2	1	no	—
561	C₂²×C₄×C₃₁	—	2	1	no	—
562	C₂²×C₄×C₃₁	—	2	1	no	—
563	C₂²×C₄×C₃₁	—	8	2	no	—
564	C₂²×C₄×C₃₁	—	8	2	no	—
565	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
566	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
567	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
568	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
569	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
570	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
571	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
572	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
574	Q₁₆×C₃₁	—	4	1	no	—
575	Q₁₆×C₃₁	—	4	1	no	—
576	Q₁₆×C₃₁	—	4	1	no	—
577	SD₁₆×C₃₁	—	2	2	no	—
578	SD₁₆×C₃₁	—	2	2	no	—
579	SD₁₆×C₃₁	—	2	2	no	—
580	SD₁₆×C₃₁	—	4	1	no	—
581	SD₁₆×C₃₁	—	4	1	no	—
582	SD₁₆×C₃₁	—	4	1	no	—
583	SD₁₆×C₃₁	—	4	1	no	—
584	SD₁₆×C₃₁	—	4	1	no	—
585	SD₁₆×C₃₁	—	4	1	no	—
586	SD₁₆×C₃₁	—	4	1	no	—
587	SD₁₆×C₃₁	—	4	1	no	—
588	SD₁₆×C₃₁	—	4	1	no	—
589	D₈×C₃₁	—	2	2	no	—
590	D₈×C₃₁	—	2	2	no	—
591	D₈×C₃₁	—	2	2	no	—
592	D₈×C₃₁	—	4	1	no	—
593	D₈×C₃₁	—	4	1	no	—
594	D₈×C₃₁	—	4	1	no	—
595	D₈×C₃₁	—	4	1	no	—
596	D₈×C₃₁	—	4	1	no	—
597	D₈×C₃₁	—	4	1	no	—
598	M₁₆×C₃₁	—	4	1	no	—
599	M₁₆×C₃₁	—	4	1	no	—
600	M₁₆×C₃₁	—	4	1	no	—
601	M₁₆×C₃₁	—	4	1	no	—
602	C₂×C₈×C₃₁	—	4	1	no	—
603	C₂×C₈×C₃₁	—	4	1	no	—
604	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
605	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
606	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
607	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
608	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
609	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
610	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
611	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₃₁	—	2	1	no	—
613	C₄⋊C₄×C₃₁	—	2	1	no	—
614	C₄⋊C₄×C₃₁	—	2	1	no	—
615	C₄⋊C₄×C₃₁	—	2	1	no	—
616	C₄⋊C₄×C₃₁	—	2	1	no	—
617	C₄⋊C₄×C₃₁	—	2	1	no	—
618	C₄⋊C₄×C₃₁	—	2	1	no	—
619	C₄⋊C₄×C₃₁	—	2	1	no	—
620	C₄⋊C₄×C₃₁	—	2	1	no	—
621	C₄⋊C₄×C₃₁	—	2	1	no	—
622	C₄⋊C₄×C₃₁	—	2	1	no	—
623	C₄⋊C₄×C₃₁	—	2	1	no	—
624	C₄⋊C₄×C₃₁	—	2	1	no	—
625	C₄⋊C₄×C₃₁	—	2	1	no	—
626	C₄⋊C₄×C₃₁	—	2	1	no	—
627	C₄⋊C₄×C₃₁	—	2	1	no	—
628	C₄⋊C₄×C₃₁	—	2	1	no	—
629	C₄⋊C₄×C₃₁	—	2	1	no	—
630	C₄⋊C₄×C₃₁	—	2	1	no	—
631	C₄⋊C₄×C₃₁	—	2	1	no	—
632	C₄⋊C₄×C₃₁	—	2	1	no	—
633	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
634	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
635	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
636	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
637	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
638	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
639	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
640	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
641	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
642	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
643	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
644	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
645	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	—	2	1	no	—
682	C₂²⋊C₄×C₃₁	—	2	1	no	—
683	C₂²⋊C₄×C₃₁	—	2	1	no	—
684	C₂²⋊C₄×C₃₁	—	2	1	no	—
685	C₂²⋊C₄×C₃₁	—	2	1	no	—
686	C₂²⋊C₄×C₃₁	—	2	1	no	—
687	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
688	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
689	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
690	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
691	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
692	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
693	C₄²×C₃₁	—	2	1	no	—
694	C₄²×C₃₁	—	2	1	no	—
695	C₄²×C₃₁	—	2	1	no	—
696	C₄²×C₃₁	—	2	1	no	—
697	C₄²×C₃₁	—	2	1	no	—
698	C₄²×C₃₁	—	2	1	no	—
699	C₄²×C₃₁	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	C₂×D₄	1	1	yes	characteristic
703	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
704	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
705	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
706	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
707	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
708	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
709	#61971	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
710	C₂³×C₃₁	—	2	1	no	—
711	C₂³×C₃₁	—	2	1	no	—
712	C₂³×C₃₁	—	2	1	no	—
713	C₂³×C₃₁	—	2	1	no	—
714	C₂³×C₃₁	—	2	1	no	—
715	C₂³×C₃₁	—	2	1	no	—
716	C₂³×C₃₁	—	4	2	no	—
717	C₂³×C₃₁	—	4	2	no	—
718	C₂³×C₃₁	—	4	2	no	—
719	C₂³×C₃₁	—	4	2	no	—
720	C₂³×C₃₁	—	4	2	no	—
721	C₂³×C₃₁	—	4	2	no	—
722	C₂³×C₃₁	—	8	1	no	—
723	C₂³×C₃₁	—	8	1	no	—
724	C₂³×C₃₁	—	8	1	no	—
725	C₂³×C₃₁	—	8	1	no	—
726	C₂³×C₃₁	—	8	1	no	—
727	C₂³×C₃₁	—	8	1	no	—
728	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
729	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
730	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
731	Q₈×C₃₁	—	2	1	no	—
732	Q₈×C₃₁	—	2	1	no	—
733	Q₈×C₃₁	—	2	1	no	—
734	Q₈×C₃₁	—	2	1	no	—
735	Q₈×C₃₁	—	2	1	no	—
736	Q₈×C₃₁	—	2	1	no	—
737	Q₈×C₃₁	—	2	1	no	—
738	Q₈×C₃₁	—	2	1	no	—
739	Q₈×C₃₁	—	4	1	no	—
740	Q₈×C₃₁	—	8	1	no	—
741	Q₈×C₃₁	—	8	1	no	—
742	Q₈×C₃₁	—	8	1	no	—
743	D₄×C₃₁	—	2	2	no	—
744	D₄×C₃₁	—	2	2	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	—	2	1	no	—
750	D₄×C₃₁	—	2	1	no	—
751	D₄×C₃₁	—	2	1	no	—
752	D₄×C₃₁	—	2	1	no	—
753	D₄×C₃₁	—	2	1	no	—
754	D₄×C₃₁	—	2	1	no	—
755	D₄×C₃₁	—	2	1	no	—
756	D₄×C₃₁	—	4	1	no	—
757	D₄×C₃₁	—	4	2	no	—
758	D₄×C₃₁	—	4	2	no	—
759	D₄×C₃₁	—	4	2	no	—
760	D₄×C₃₁	—	4	2	no	—
761	D₄×C₃₁	—	4	2	no	—
762	D₄×C₃₁	—	4	2	no	—
763	D₄×C₃₁	—	4	2	no	—
764	D₄×C₃₁	—	4	2	no	—
765	D₄×C₃₁	—	4	2	no	—
766	D₄×C₃₁	—	8	1	no	—
767	D₄×C₃₁	—	8	1	no	—
768	D₄×C₃₁	—	8	1	no	—
769	D₄×C₃₁	—	8	1	no	—
770	D₄×C₃₁	—	8	1	no	—
771	D₄×C₃₁	—	8	1	no	—
772	D₄×C₃₁	—	8	1	no	—
773	D₄×C₃₁	—	8	1	no	—
774	D₄×C₃₁	—	8	1	no	—
775	D₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
776	C₂×C₄×C₃₁	—	2	2	no	—
777	C₂×C₄×C₃₁	—	2	1	no	—
778	C₂×C₄×C₃₁	—	2	1	no	—
779	C₂×C₄×C₃₁	—	2	1	no	—
780	C₂×C₄×C₃₁	—	2	1	no	—
781	C₂×C₄×C₃₁	—	2	1	no	—
782	C₂×C₄×C₃₁	—	2	1	no	—
783	C₂×C₄×C₃₁	—	2	1	no	—
784	C₂×C₄×C₃₁	—	2	1	no	—
785	C₂×C₄×C₃₁	—	2	1	no	—
786	C₂×C₄×C₃₁	—	2	1	no	—
787	C₂×C₄×C₃₁	—	2	1	no	—
788	C₂×C₄×C₃₁	—	2	1	no	—
789	C₂×C₄×C₃₁	—	2	1	no	—
790	C₂×C₄×C₃₁	—	2	1	no	—
791	C₂×C₄×C₃₁	—	2	1	no	—
792	C₂×C₄×C₃₁	—	2	1	no	—
793	C₂×C₄×C₃₁	—	4	1	no	—
794	C₂×C₄×C₃₁	—	4	1	no	—
795	C₂×C₄×C₃₁	—	4	1	no	—
796	C₂×C₄×C₃₁	—	4	1	no	—
797	C₂×C₄×C₃₁	—	4	1	no	—
798	C₂×C₄×C₃₁	—	4	2	no	—
799	C₂×C₄×C₃₁	—	4	2	no	—
800	C₂×C₄×C₃₁	—	4	2	no	—
801	C₂×C₄×C₃₁	—	4	2	no	—
802	C₂×C₄×C₃₁	—	4	2	no	—
803	C₂×C₄×C₃₁	—	4	2	no	—
804	C₂×C₄×C₃₁	—	8	1	no	—
805	C₂×C₄×C₃₁	—	8	1	no	—
806	C₂×C₄×C₃₁	—	8	1	no	—
807	C₂×C₄×C₃₁	—	8	1	no	—
808	C₂×C₄×C₃₁	—	8	1	no	—
809	C₂×C₄×C₃₁	—	8	1	no	—
810	C₂×C₄×C₃₁	—	8	1	no	—
811	C₂×C₄×C₃₁	—	8	1	no	—
812	C₂×C₄×C₃₁	—	8	1	no	—
813	C₂×C₄×C₃₁	—	8	1	no	—
814	C₂×C₄×C₃₁	—	8	1	no	—
815	C₂×C₄×C₃₁	—	8	1	no	—
816	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
818	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
820	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
821	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
823	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
824	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
827	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
828	C₈×C₃₁	—	2	1	no	—
829	C₈×C₃₁	—	2	1	no	—
830	C₈×C₃₁	—	2	1	no	—
831	C₈×C₃₁	—	2	1	no	—
832	C₈×C₃₁	—	2	1	no	—
833	C₈×C₃₁	—	2	1	no	—
834	C₈×C₃₁	—	2	1	no	—
835	C₈×C₃₁	—	2	1	no	—
836	#3514	C₂×C₃₁	1	1	yes	characteristic, complemented
837	#3481	C₂×C₃₁	1	1	yes	characteristic, complemented
838	#3403	C₂×C₃₁	1	1	yes	characteristic, complemented
839	#3401	C₂×C₃₁	1	1	yes	characteristic, complemented
840	#3376	C₂×C₃₁	1	1	yes	characteristic, complemented
841	#3370	C₂×C₃₁	1	1	yes	characteristic, complemented
842	#3326	C₂×C₃₁	1	1	yes	characteristic, complemented
843	#3322	C₂×C₃₁	1	1	yes	characteristic, complemented
844	#3320	C₂×C₃₁	1	1	yes	characteristic, complemented
845	#3318	C₂×C₃₁	1	1	yes	characteristic, complemented
846	#3316	C₂×C₃₁	1	1	yes	characteristic, complemented
847	#3314	C₂×C₃₁	1	1	yes	characteristic, complemented
848	#3275	C₂×C₃₁	1	1	yes	characteristic, complemented
849	#3273	C₂×C₃₁	1	1	yes	characteristic, complemented
850	#3266	C₂×C₃₁	1	1	yes	characteristic, complemented
851	#3265	C₂×C₃₁	1	1	yes	characteristic, complemented
852	#3264	C₂×C₃₁	1	1	yes	characteristic, complemented
853	#3264	C₂×C₃₁	1	1	yes	characteristic, complemented
854	#3256	C₂×C₃₁	1	1	yes	characteristic, complemented
855	#3251	C₂×C₃₁	1	1	yes	characteristic, complemented
856	#3250	C₂×C₃₁	1	1	yes	characteristic, complemented
857	#3219	C₂×C₃₁	1	1	yes	characteristic, complemented
858	#3213	C₂×C₃₁	1	1	yes	characteristic, complemented
859	#3211	C₂×C₃₁	1	1	yes	characteristic, complemented
860	#3114	C₂×C₃₁	1	1	yes	characteristic, complemented
861	#3111	C₂×C₃₁	1	1	yes	characteristic, complemented
862	#3105	C₂×C₃₁	1	1	yes	characteristic, complemented
863	#3040	C₂×C₃₁	1	1	yes	characteristic, complemented
864	#3036	C₂×C₃₁	1	1	yes	characteristic, complemented
865	C₂×#463	C₂×C₃₁	1	1	yes	characteristic, complemented
866	#2989	C₂×C₃₁	1	1	yes	characteristic, complemented
867	C₂²×C₃₁	—	2	1	no	—
868	C₂²×C₃₁	—	2	1	no	—
869	C₂²×C₃₁	—	2	1	no	—
870	C₂²×C₃₁	—	2	1	no	—
871	C₂²×C₃₁	—	2	1	no	—
872	C₂²×C₃₁	—	2	1	no	—
873	C₂²×C₃₁	—	2	2	no	—
874	C₂²×C₃₁	—	2	1	no	—
875	C₂²×C₃₁	—	2	1	no	—
876	C₂²×C₃₁	—	4	1	no	—
877	C₂²×C₃₁	—	4	1	no	—
878	C₂²×C₃₁	—	4	1	no	—
879	C₂²×C₃₁	—	4	1	no	—
880	C₂²×C₃₁	—	4	1	no	—
881	C₂²×C₃₁	—	4	1	no	—
882	C₂²×C₃₁	—	4	1	no	—
883	C₂²×C₃₁	—	4	1	no	—
884	C₂²×C₃₁	—	4	1	no	—
885	C₂²×C₃₁	—	4	1	no	—
886	C₂²×C₃₁	—	4	1	no	—
887	C₂²×C₃₁	—	4	1	no	—
888	C₂²×C₃₁	—	4	1	no	—
889	C₂²×C₃₁	—	4	1	no	—
890	C₂²×C₃₁	—	4	1	no	—
891	C₂²×C₃₁	—	4	1	no	—
892	C₂²×C₃₁	—	4	1	no	—
893	C₂²×C₃₁	—	8	4	no	—
894	C₂²×C₃₁	—	8	4	no	—
895	C₂²×C₃₁	—	16	2	no	—
896	C₂²×C₃₁	—	16	2	no	—
897	C₂²×C₃₁	#575	1	2	yes	—
898	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
899	C₄×C₃₁	—	2	1	no	—
900	C₄×C₃₁	—	2	1	no	—
901	C₄×C₃₁	—	2	1	no	—
902	C₄×C₃₁	—	2	1	no	—
903	C₄×C₃₁	—	2	1	no	—
904	C₄×C₃₁	—	2	1	no	—
905	C₄×C₃₁	—	2	1	no	—
906	C₄×C₃₁	—	2	1	no	—
907	C₄×C₃₁	—	2	1	no	—
908	C₄×C₃₁	—	2	1	no	—
909	C₄×C₃₁	—	2	1	no	—
910	C₄×C₃₁	—	4	1	no	—
911	C₄×C₃₁	—	4	1	no	—
912	C₄×C₃₁	—	4	1	no	—
913	C₄×C₃₁	—	4	1	no	—
914	C₄×C₃₁	—	4	1	no	—
915	C₄×C₃₁	—	4	1	no	—
916	C₄×C₃₁	—	4	1	no	—
917	C₄×C₃₁	—	4	1	no	—
918	C₄×C₃₁	—	4	1	no	—
919	C₄×C₃₁	—	4	1	no	—
920	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
921	C₄×C₃₁	#585	1	1	yes	characteristic
922	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic, complemented
923	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic
924	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
925	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
926	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
927	C₂²×D₈	C₂²×C₃₁	1	1	yes	characteristic
928	#559	C₂²×C₃₁	1	1	yes	characteristic, complemented
929	#559	C₂²×C₃₁	1	1	yes	characteristic, complemented
930	#556	C₂²×C₃₁	1	1	yes	characteristic, complemented
931	#555	—	2	1	no	—
932	#554	C₂²×C₃₁	1	1	yes	characteristic, complemented
933	#554	C₂²×C₃₁	1	1	yes	characteristic, complemented
934	#553	—	2	1	no	—
935	#553	C₂²×C₃₁	1	1	yes	characteristic
936	#553	C₂²×C₃₁	1	1	yes	characteristic, complemented
937	#551	—	2	1	no	—
938	#551	—	2	1	no	—
939	#551	—	2	1	no	—
940	#551	—	2	1	no	—
941	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
942	#548	C₂²×C₃₁	1	1	yes	characteristic
943	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
944	#546	—	2	1	no	—
945	#546	—	2	1	no	—
946	#546	C₂²×C₃₁	1	1	yes	characteristic
947	#546	C₂²×C₃₁	1	1	yes	characteristic
948	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
949	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
950	D₄²	C₂²×C₃₁	1	1	yes	characteristic, complemented
951	D₄²	C₂²×C₃₁	1	1	yes	characteristic, complemented
952	#542	—	2	1	no	—
953	#538	—	2	1	no	—
954	#538	—	2	1	no	—
955	#532	C₂²×C₃₁	1	1	yes	characteristic, complemented
956	#532	C₂²×C₃₁	1	1	yes	characteristic, complemented
957	#529	—	2	1	no	—
958	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
959	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
960	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
961	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
962	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
963	C₂×#124	C₂²×C₃₁	1	1	yes	characteristic, complemented
964	C₂×#124	C₂²×C₃₁	1	1	yes	characteristic, complemented
965	#525	—	2	1	no	—
966	#525	—	2	1	no	—
967	#518	—	2	1	no	—
968	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic
969	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic, complemented
970	C₂×C₄×D₄	—	2	1	no	—
971	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
972	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
973	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
974	#496	C₂²×C₃₁	1	1	yes	characteristic
975	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
976	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
977	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
978	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
979	#491	C₂²×C₃₁	1	1	yes	characteristic, complemented
980	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
981	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
982	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
983	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
984	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
985	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
986	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
987	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
988	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
989	#481	C₂²×C₃₁	1	1	yes	characteristic, complemented
990	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
991	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
992	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
993	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
995	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
996	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
997	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
998	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
999	#475	C₂²×C₃₁	1	1	yes	characteristic, complemented
1000	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
1001	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
1002	#469	C₂²×C₃₁	1	1	yes	characteristic
1003	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
1004	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
1005	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1006	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1007	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1008	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1009	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
1010	#466	C₂²×C₃₁	1	1	yes	characteristic
1011	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1012	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1013	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1014	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1015	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1016	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1017	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1018	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1019	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1020	#463	C₂²×C₃₁	1	1	yes	characteristic
1021	#463	C₂²×C₃₁	1	1	yes	characteristic
1022	#463	C₂²×C₃₁	1	1	yes	characteristic
1023	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1027	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1028	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1029	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1030	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1031	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1032	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1033	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1034	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1035	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1036	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1037	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1038	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1039	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1040	#459	C₂²×C₃₁	1	1	yes	characteristic
1041	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1042	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1043	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1044	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1045	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1046	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1048	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1049	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1050	#449	C₂²×C₃₁	1	1	yes	characteristic
1051	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1052	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1053	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1054	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1055	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1056	#447	C₂²×C₃₁	1	1	yes	characteristic
1057	#447	C₂²×C₃₁	1	1	yes	characteristic
1058	#447	C₂²×C₃₁	1	1	yes	characteristic
1059	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1060	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1061	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1062	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1063	#442	C₂²×C₃₁	1	1	yes	characteristic
1064	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1065	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1066	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1067	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1068	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1069	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1070	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1071	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1072	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1073	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1074	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1075	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1076	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1077	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1078	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1079	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1080	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1081	#432	C₂²×C₃₁	1	1	yes	characteristic, complemented
1082	#432	C₂²×C₃₁	1	1	yes	characteristic, complemented
1083	#431	C₂²×C₃₁	1	1	yes	characteristic, complemented
1084	#423	C₂²×C₃₁	1	1	yes	characteristic, complemented
1085	#423	C₂²×C₃₁	1	1	yes	characteristic, complemented
1086	C₂×C₄⋊C₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1087	#419	C₂²×C₃₁	1	1	yes	characteristic, complemented
1088	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1089	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1090	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1091	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic, complemented
1092	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1093	C₂×C₃₁	—	2	2	no	—
1094	C₂×C₃₁	—	4	1	no	—
1095	C₂×C₃₁	—	4	1	no	—
1096	C₂×C₃₁	—	4	2	no	—
1097	C₂×C₃₁	—	8	1	no	—
1098	C₂×C₃₁	—	8	1	no	—
1099	C₂×C₃₁	—	8	1	no	—
1100	C₂×C₃₁	—	8	1	no	—
1101	C₂×C₃₁	—	8	1	no	—
1102	C₂×C₃₁	#3488	1	1	yes	characteristic
1103	C₂×C₃₁	C₂×#575	1	1	yes	characteristic
1104	C₂×C₃₁	#3585	1	1	yes	characteristic
1105	C₂×#41	—	2	1	no	—
1106	C₂×#41	D₄×C₃₁	1	1	yes	characteristic
1107	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1108	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1109	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1110	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1111	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1112	C₂²×D₄	—	2	1	no	—
1113	C₂²×D₄	—	2	1	no	—
1114	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1115	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1116	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1117	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1118	C₂³×C₄	—	2	1	no	—
1119	C₂³×C₄	—	2	1	no	—
1120	#137	—	4	2	no	—
1121	AGL(1,ℤ/8)	—	4	2	no	—
1122	AGL(1,ℤ/8)	—	4	2	no	—
1123	AGL(1,ℤ/8)	—	4	2	no	—
1124	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1125	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1126	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1127	C₂×SD₁₆	—	4	2	no	—
1128	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1129	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1130	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1131	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1132	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1133	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1134	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1135	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1136	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1137	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1138	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1139	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1140	C₂×D₈	—	4	2	no	—
1141	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1142	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1143	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1144	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1145	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1146	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1147	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1148	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1149	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1150	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1151	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1152	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1153	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1154	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1155	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1156	C₄⋊Q₈	—	2	1	no	—
1157	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1158	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1159	#127	C₂³×C₃₁	1	1	yes	characteristic
1160	#127	C₂³×C₃₁	1	1	yes	characteristic
1161	#126	—	2	1	no	—
1162	#126	—	2	1	no	—
1163	#126	—	2	1	no	—
1164	#126	—	2	1	no	—
1165	#126	—	2	1	no	—
1166	#126	—	2	1	no	—
1167	#126	—	2	1	no	—
1168	#126	—	2	1	no	—
1169	#126	—	2	1	no	—
1170	#125	—	2	1	no	—
1171	#125	C₂³×C₃₁	1	1	yes	characteristic
1172	#125	C₂³×C₃₁	1	1	yes	characteristic
1173	#125	C₂³×C₃₁	1	1	yes	characteristic
1174	#124	—	2	1	no	—
1175	#124	—	2	1	no	—
1176	#124	—	2	1	no	—
1177	#124	—	2	1	no	—
1178	#124	—	2	1	no	—
1179	#124	—	2	1	no	—
1180	#124	—	2	1	no	—
1181	#124	—	2	1	no	—
1182	#124	—	2	1	no	—
1183	#124	C₂³×C₃₁	1	1	yes	characteristic
1184	#124	C₂³×C₃₁	1	1	yes	characteristic
1185	#124	C₂³×C₃₁	1	1	yes	characteristic
1186	#124	C₂³×C₃₁	1	1	yes	characteristic
1187	#124	C₂³×C₃₁	1	1	yes	characteristic
1188	#124	C₂³×C₃₁	1	1	yes	characteristic
1189	#124	C₂³×C₃₁	1	1	yes	characteristic
1190	#124	C₂³×C₃₁	1	1	yes	characteristic
1191	#124	C₂³×C₃₁	1	1	yes	characteristic
1192	#123	—	2	1	no	—
1193	#123	—	2	1	no	—
1194	#123	—	2	1	no	—
1195	#123	—	2	1	no	—
1196	#123	—	2	1	no	—
1197	#123	—	2	1	no	—
1198	#123	—	2	1	no	—
1199	#123	—	2	1	no	—
1200	#123	—	2	1	no	—
1201	#123	—	2	1	no	—
1202	#123	—	2	1	no	—
1203	#123	—	2	1	no	—
1204	#123	—	2	1	no	—
1205	#123	—	2	1	no	—
1206	#123	—	2	1	no	—
1207	C₂²⋊Q₈	—	2	1	no	—
1208	C₂²⋊Q₈	—	2	1	no	—
1209	C₂²⋊Q₈	—	2	1	no	—
1210	C₂²⋊Q₈	—	2	1	no	—
1211	C₂²⋊Q₈	—	2	1	no	—
1212	C₂²⋊Q₈	—	2	1	no	—
1213	C₂²⋊Q₈	—	2	1	no	—
1214	C₂²⋊Q₈	—	2	1	no	—
1215	C₂²⋊Q₈	—	2	1	no	—
1216	C₂²⋊Q₈	—	2	1	no	—
1217	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1218	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1219	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1220	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1221	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1222	#121	—	2	1	no	—
1223	#121	—	2	1	no	—
1224	#121	—	2	1	no	—
1225	#121	—	2	1	no	—
1226	#121	—	2	1	no	—
1227	#121	—	2	1	no	—
1228	#121	—	2	1	no	—
1229	#121	—	2	1	no	—
1230	#121	—	2	1	no	—
1231	#121	—	2	1	no	—
1232	#121	—	2	1	no	—
1233	#121	—	2	1	no	—
1234	#121	—	2	1	no	—
1235	#121	C₂³×C₃₁	1	1	yes	characteristic
1236	#121	C₂³×C₃₁	1	1	yes	characteristic
1237	#121	C₂³×C₃₁	1	1	yes	characteristic
1238	#121	C₂³×C₃₁	1	1	yes	characteristic
1239	#121	C₂³×C₃₁	1	1	yes	characteristic
1240	#121	C₂³×C₃₁	1	1	yes	characteristic
1241	#121	C₂³×C₃₁	1	1	yes	characteristic
1242	#120	—	2	1	no	—
1243	#120	—	2	1	no	—
1244	#120	—	2	1	no	—
1245	#120	—	2	1	no	—
1246	#120	—	2	1	no	—
1247	#120	—	2	1	no	—
1248	#120	—	2	1	no	—
1249	#120	—	2	1	no	—
1250	C₄×Q₈	D₄×C₃₁	1	1	yes	characteristic
1251	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1252	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1253	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1254	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1255	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1256	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1257	C₄×D₄	—	2	1	no	—
1258	C₄×D₄	—	2	1	no	—
1259	C₄×D₄	—	2	1	no	—
1260	C₄×D₄	—	2	1	no	—
1261	C₄×D₄	—	2	1	no	—
1262	C₄×D₄	—	2	1	no	—
1263	C₄×D₄	—	2	1	no	—
1264	C₄×D₄	—	2	1	no	—
1265	C₄×D₄	—	2	1	no	—
1266	C₄×D₄	—	2	1	no	—
1267	C₄×D₄	—	2	1	no	—
1268	C₄×D₄	—	2	1	no	—
1269	C₄×D₄	—	2	1	no	—
1270	C₄×D₄	—	2	1	no	—
1271	C₄×D₄	—	2	1	no	—
1272	C₄×D₄	—	2	1	no	—
1273	C₄×D₄	—	2	1	no	—
1274	C₄×D₄	—	2	1	no	—
1275	C₄×D₄	—	2	1	no	—
1276	C₄×D₄	—	2	1	no	—
1277	C₄×D₄	—	2	1	no	—
1278	C₄×D₄	—	2	1	no	—
1279	C₄×D₄	D₄×C₃₁	1	1	yes	characteristic
1280	C₄×D₄	D₄×C₃₁	1	1	yes	characteristic
1281	C₄×D₄	D₄×C₃₁	1	1	yes	characteristic
1282	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1283	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1284	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1285	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1286	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1287	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1288	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1289	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1290	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1291	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1292	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1293	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1294	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1295	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1296	#117	—	2	1	no	—
1297	#117	—	2	1	no	—
1298	#117	—	2	1	no	—
1299	#117	—	2	1	no	—
1300	#117	—	2	1	no	—
1301	#117	—	2	1	no	—
1302	#117	—	2	1	no	—
1303	#117	D₄×C₃₁	1	1	yes	characteristic
1304	#117	D₄×C₃₁	1	1	yes	characteristic
1305	#117	D₄×C₃₁	1	1	yes	characteristic
1306	#117	C₂³×C₃₁	1	1	yes	characteristic
1307	C₂×C₄⋊C₄	—	2	1	no	—
1308	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1309	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1310	C₂×C₂²⋊C₄	—	2	1	no	—
1311	C₂×C₂²⋊C₄	—	2	1	no	—
1312	C₂×C₂²⋊C₄	—	2	1	no	—
1313	C₂×C₂²⋊C₄	—	2	1	no	—
1314	C₂×C₂²⋊C₄	—	2	1	no	—
1315	C₂×C₂²⋊C₄	—	2	1	no	—
1316	C₂×C₂²⋊C₄	—	2	1	no	—
1317	C₂×C₂²⋊C₄	—	2	1	no	—
1318	C₂×C₂²⋊C₄	—	2	1	no	—
1319	C₂×C₂²⋊C₄	—	2	1	no	—
1320	C₂×C₄²	—	2	1	no	—
1321	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1322	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1323	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1324	#107	C₂³×C₃₁	1	1	yes	characteristic
1325	#107	C₂³×C₃₁	1	1	yes	characteristic
1326	#107	C₂³×C₃₁	1	1	yes	characteristic
1327	#107	C₂³×C₃₁	1	1	yes	characteristic
1328	#106	C₂³×C₃₁	1	1	yes	characteristic
1329	#106	C₂³×C₃₁	1	1	yes	characteristic
1330	#106	C₂³×C₃₁	1	1	yes	characteristic
1331	#106	C₂³×C₃₁	1	1	yes	characteristic
1332	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1333	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1334	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1335	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1336	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1337	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1338	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1339	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1340	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1341	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1342	#103	C₂³×C₃₁	1	1	yes	characteristic
1343	#103	C₂³×C₃₁	1	1	yes	characteristic
1344	#103	C₂³×C₃₁	1	1	yes	characteristic
1345	#103	C₂³×C₃₁	1	1	yes	characteristic
1346	#103	C₂³×C₃₁	1	1	yes	characteristic
1347	#103	C₂³×C₃₁	1	1	yes	characteristic
1348	#103	C₂³×C₃₁	1	1	yes	characteristic
1349	#103	C₂³×C₃₁	1	1	yes	characteristic
1350	#103	C₂³×C₃₁	1	1	yes	characteristic
1351	#103	C₂³×C₃₁	1	1	yes	characteristic
1352	#103	C₂³×C₃₁	1	1	yes	characteristic
1353	#103	C₂³×C₃₁	1	1	yes	characteristic
1354	#103	C₂³×C₃₁	1	1	yes	characteristic
1355	#103	C₂³×C₃₁	1	1	yes	characteristic
1356	#102	C₂³×C₃₁	1	1	yes	characteristic
1357	#102	C₂³×C₃₁	1	1	yes	characteristic
1358	#102	C₂³×C₃₁	1	1	yes	characteristic
1359	#102	C₂³×C₃₁	1	1	yes	characteristic
1360	#102	C₂³×C₃₁	1	1	yes	characteristic
1361	#102	C₂³×C₃₁	1	1	yes	characteristic
1362	#102	C₂³×C₃₁	1	1	yes	characteristic
1363	#102	C₂³×C₃₁	1	1	yes	characteristic
1364	#102	C₂³×C₃₁	1	1	yes	characteristic
1365	#102	C₂³×C₃₁	1	1	yes	characteristic
1366	#102	C₂³×C₃₁	1	1	yes	characteristic
1367	#102	C₂³×C₃₁	1	1	yes	characteristic
1368	#102	C₂³×C₃₁	1	1	yes	characteristic
1369	#102	C₂³×C₃₁	1	1	yes	characteristic
1370	#102	C₂³×C₃₁	1	1	yes	characteristic
1371	#102	C₂³×C₃₁	1	1	yes	characteristic
1372	#102	C₂³×C₃₁	1	1	yes	characteristic
1373	#102	C₂³×C₃₁	1	1	yes	characteristic
1374	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1375	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1376	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1377	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1378	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1379	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1380	#97	C₂³×C₃₁	1	1	yes	characteristic
1381	#97	C₂³×C₃₁	1	1	yes	characteristic
1382	#97	C₂³×C₃₁	1	1	yes	characteristic
1383	#97	C₂³×C₃₁	1	1	yes	characteristic
1384	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1385	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1386	C₃₁	#61971	1	1	yes	characteristic, direct product factor, Sylow
1387	C₂⁴	—	2	1	no	—
1388	C₂⁴	—	2	1	no	—
1389	C₂⁴	—	2	1	no	—
1390	C₂⁴	—	2	1	no	—
1391	#41	—	2	2	no	—
1392	#41	—	4	2	no	—
1393	#41	—	4	1	no	—
1394	#41	—	4	1	no	—
1395	#41	—	4	1	no	—
1396	#41	—	4	1	no	—
1397	#41	—	4	1	no	—
1398	#41	—	8	2	no	—
1399	C₂×Q₈	—	2	1	no	—
1400	C₂×Q₈	—	2	1	no	—
1401	C₂×Q₈	—	2	1	no	—
1402	C₂×Q₈	—	4	1	no	—
1403	C₂×Q₈	—	4	1	no	—
1404	C₂×Q₈	—	4	1	no	—
1405	C₂×Q₈	—	4	1	no	—
1406	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1407	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1408	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1409	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1410	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1411	C₂×D₄	—	2	2	no	—
1412	C₂×D₄	—	2	2	no	—
1413	C₂×D₄	—	2	1	no	—
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	2	1	no	—
1419	C₂×D₄	—	2	1	no	—
1420	C₂×D₄	—	2	1	no	—
1421	C₂×D₄	—	2	1	no	—
1422	C₂×D₄	—	2	1	no	—
1423	C₂×D₄	—	2	1	no	—
1424	C₂×D₄	—	2	1	no	—
1425	C₂×D₄	—	2	1	no	—
1426	C₂×D₄	—	2	1	no	—
1427	C₂×D₄	—	2	1	no	—
1428	C₂×D₄	—	2	1	no	—
1429	C₂×D₄	—	2	1	no	—
1430	C₂×D₄	—	2	1	no	—
1431	C₂×D₄	—	4	1	no	—
1432	C₂×D₄	—	4	1	no	—
1433	C₂×D₄	—	4	1	no	—
1434	C₂×D₄	—	4	1	no	—
1435	C₂×D₄	—	4	1	no	—
1436	C₂×D₄	—	4	1	no	—
1437	C₂×D₄	—	4	4	no	—
1438	C₂×D₄	—	4	4	no	—
1439	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1440	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1441	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1442	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1443	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1444	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1445	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1446	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1447	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1448	C₂²×C₄	—	2	1	no	—
1449	C₂²×C₄	—	2	1	no	—
1450	C₂²×C₄	—	2	1	no	—
1451	C₂²×C₄	—	2	1	no	—
1452	C₂²×C₄	—	2	1	no	—
1453	C₂²×C₄	—	2	1	no	—
1454	C₂²×C₄	—	2	1	no	—
1455	C₂²×C₄	—	2	1	no	—
1456	C₂²×C₄	—	2	1	no	—
1457	C₂²×C₄	—	2	1	no	—
1458	C₂²×C₄	—	2	1	no	—
1459	C₂²×C₄	—	2	1	no	—
1460	C₂²×C₄	—	2	1	no	—
1461	C₂²×C₄	—	2	1	no	—
1462	C₂²×C₄	—	2	1	no	—
1463	C₂²×C₄	—	2	1	no	—
1464	C₂²×C₄	—	2	1	no	—
1465	C₂²×C₄	—	2	1	no	—
1466	C₂²×C₄	—	8	2	no	—
1467	C₂²×C₄	—	8	2	no	—
1468	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1469	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1470	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1471	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1472	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1473	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1474	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1475	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1476	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1477	Q₁₆	—	4	1	no	—
1478	Q₁₆	—	4	1	no	—
1479	Q₁₆	—	4	1	no	—
1480	SD₁₆	—	2	2	no	—
1481	SD₁₆	—	2	2	no	—
1482	SD₁₆	—	2	2	no	—
1483	SD₁₆	—	4	1	no	—
1484	SD₁₆	—	4	1	no	—
1485	SD₁₆	—	4	1	no	—
1486	SD₁₆	—	4	1	no	—
1487	SD₁₆	—	4	1	no	—
1488	SD₁₆	—	4	1	no	—
1489	SD₁₆	—	4	1	no	—
1490	SD₁₆	—	4	1	no	—
1491	SD₁₆	—	4	1	no	—
1492	D₈	—	2	2	no	—
1493	D₈	—	2	2	no	—
1494	D₈	—	2	2	no	—
1495	D₈	—	4	1	no	—
1496	D₈	—	4	1	no	—
1497	D₈	—	4	1	no	—
1498	D₈	—	4	1	no	—
1499	D₈	—	4	1	no	—
1500	D₈	—	4	1	no	—
1501	M₁₆	—	4	1	no	—
1502	M₁₆	—	4	1	no	—
1503	M₁₆	—	4	1	no	—
1504	M₁₆	—	4	1	no	—
1505	C₂×C₈	—	4	1	no	—
1506	C₂×C₈	—	4	1	no	—
1507	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1508	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1509	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1510	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1511	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1512	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1513	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1514	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	—	2	1	no	—
1519	C₄⋊C₄	—	2	1	no	—
1520	C₄⋊C₄	—	2	1	no	—
1521	C₄⋊C₄	—	2	1	no	—
1522	C₄⋊C₄	—	2	1	no	—
1523	C₄⋊C₄	—	2	1	no	—
1524	C₄⋊C₄	—	2	1	no	—
1525	C₄⋊C₄	—	2	1	no	—
1526	C₄⋊C₄	—	2	1	no	—
1527	C₄⋊C₄	—	2	1	no	—
1528	C₄⋊C₄	—	2	1	no	—
1529	C₄⋊C₄	—	2	1	no	—
1530	C₄⋊C₄	—	2	1	no	—
1531	C₄⋊C₄	—	2	1	no	—
1532	C₄⋊C₄	—	2	1	no	—
1533	C₄⋊C₄	—	2	1	no	—
1534	C₄⋊C₄	—	2	1	no	—
1535	C₄⋊C₄	—	2	1	no	—
1536	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1537	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1538	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1539	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1540	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1541	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1542	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1543	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1544	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1545	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1546	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1547	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	2	1	no	—
1576	C₂²⋊C₄	—	2	1	no	—
1577	C₂²⋊C₄	—	2	1	no	—
1578	C₂²⋊C₄	—	2	1	no	—
1579	C₂²⋊C₄	—	2	1	no	—
1580	C₂²⋊C₄	—	2	1	no	—
1581	C₂²⋊C₄	—	2	1	no	—
1582	C₂²⋊C₄	—	2	1	no	—
1583	C₂²⋊C₄	—	2	1	no	—
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1591	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1592	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1593	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1594	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1595	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1596	C₄²	—	2	1	no	—
1597	C₄²	—	2	1	no	—
1598	C₄²	—	2	1	no	—
1599	C₄²	—	2	1	no	—
1600	C₄²	—	2	1	no	—
1601	C₄²	—	2	1	no	—
1602	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1603	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1604	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1605	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1606	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1607	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1608	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1609	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1610	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1611	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1612	C₂³	—	2	1	no	—
1613	C₂³	—	2	1	no	—
1614	C₂³	—	2	1	no	—
1615	C₂³	—	2	1	no	—
1616	C₂³	—	2	1	no	—
1617	C₂³	—	2	1	no	—
1618	C₂³	—	4	2	no	—
1619	C₂³	—	4	2	no	—
1620	C₂³	—	4	2	no	—
1621	C₂³	—	4	2	no	—
1622	C₂³	—	4	2	no	—
1623	C₂³	—	4	2	no	—
1624	C₂³	—	8	1	no	—
1625	C₂³	—	8	1	no	—
1626	C₂³	—	8	1	no	—
1627	C₂³	—	8	1	no	—
1628	C₂³	—	8	1	no	—
1629	C₂³	—	8	1	no	—
1630	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1631	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1632	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1633	Q₈	—	2	1	no	—
1634	Q₈	—	2	1	no	—
1635	Q₈	—	2	1	no	—
1636	Q₈	—	2	1	no	—
1637	Q₈	—	2	1	no	—
1638	Q₈	—	2	1	no	—
1639	Q₈	—	2	1	no	—
1640	Q₈	—	2	1	no	—
1641	Q₈	—	4	1	no	—
1642	Q₈	—	8	1	no	—
1643	Q₈	—	8	1	no	—
1644	Q₈	—	8	1	no	—
1645	D₄	—	2	2	no	—
1646	D₄	—	2	2	no	—
1647	D₄	—	2	1	no	—
1648	D₄	—	2	1	no	—
1649	D₄	—	2	1	no	—
1650	D₄	—	2	1	no	—
1651	D₄	—	2	1	no	—
1652	D₄	—	2	1	no	—
1653	D₄	—	2	1	no	—
1654	D₄	—	2	1	no	—
1655	D₄	—	2	1	no	—
1656	D₄	—	2	1	no	—
1657	D₄	—	2	1	no	—
1658	D₄	—	4	1	no	—
1659	D₄	—	4	2	no	—
1660	D₄	—	4	2	no	—
1661	D₄	—	4	2	no	—
1662	D₄	—	4	2	no	—
1663	D₄	—	4	2	no	—
1664	D₄	—	4	2	no	—
1665	D₄	—	4	2	no	—
1666	D₄	—	4	2	no	—
1667	D₄	—	4	2	no	—
1668	D₄	—	8	1	no	—
1669	D₄	—	8	1	no	—
1670	D₄	—	8	1	no	—
1671	D₄	—	8	1	no	—
1672	D₄	—	8	1	no	—
1673	D₄	—	8	1	no	—
1674	D₄	—	8	1	no	—
1675	D₄	—	8	1	no	—
1676	D₄	—	8	1	no	—
1677	D₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
1678	C₂×C₄	—	2	2	no	—
1679	C₂×C₄	—	2	1	no	—
1680	C₂×C₄	—	2	1	no	—
1681	C₂×C₄	—	2	1	no	—
1682	C₂×C₄	—	2	1	no	—
1683	C₂×C₄	—	2	1	no	—
1684	C₂×C₄	—	2	1	no	—
1685	C₂×C₄	—	2	1	no	—
1686	C₂×C₄	—	2	1	no	—
1687	C₂×C₄	—	2	1	no	—
1688	C₂×C₄	—	2	1	no	—
1689	C₂×C₄	—	2	1	no	—
1690	C₂×C₄	—	2	1	no	—
1691	C₂×C₄	—	2	1	no	—
1692	C₂×C₄	—	2	1	no	—
1693	C₂×C₄	—	2	1	no	—
1694	C₂×C₄	—	2	1	no	—
1695	C₂×C₄	—	4	1	no	—
1696	C₂×C₄	—	4	1	no	—
1697	C₂×C₄	—	4	1	no	—
1698	C₂×C₄	—	4	1	no	—
1699	C₂×C₄	—	4	1	no	—
1700	C₂×C₄	—	4	2	no	—
1701	C₂×C₄	—	4	2	no	—
1702	C₂×C₄	—	4	2	no	—
1703	C₂×C₄	—	4	2	no	—
1704	C₂×C₄	—	4	2	no	—
1705	C₂×C₄	—	4	2	no	—
1706	C₂×C₄	—	8	1	no	—
1707	C₂×C₄	—	8	1	no	—
1708	C₂×C₄	—	8	1	no	—
1709	C₂×C₄	—	8	1	no	—
1710	C₂×C₄	—	8	1	no	—
1711	C₂×C₄	—	8	1	no	—
1712	C₂×C₄	—	8	1	no	—
1713	C₂×C₄	—	8	1	no	—
1714	C₂×C₄	—	8	1	no	—
1715	C₂×C₄	—	8	1	no	—
1716	C₂×C₄	—	8	1	no	—
1717	C₂×C₄	—	8	1	no	—
1718	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1719	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1720	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1721	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1722	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1723	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1724	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1725	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1726	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1727	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1728	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1729	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1730	C₈	—	2	1	no	—
1731	C₈	—	2	1	no	—
1732	C₈	—	2	1	no	—
1733	C₈	—	2	1	no	—
1734	C₈	—	2	1	no	—
1735	C₈	—	2	1	no	—
1736	C₈	—	2	1	no	—
1737	C₈	—	2	1	no	—
1738	C₂²	—	2	1	no	—
1739	C₂²	—	2	1	no	—
1740	C₂²	—	2	1	no	—
1741	C₂²	—	2	1	no	—
1742	C₂²	—	2	2	no	—
1743	C₂²	—	2	1	no	—
1744	C₂²	—	2	1	no	—
1745	C₂²	—	2	1	no	—
1746	C₂²	—	2	1	no	—
1747	C₂²	—	4	1	no	—
1748	C₂²	—	4	1	no	—
1749	C₂²	—	4	1	no	—
1750	C₂²	—	4	1	no	—
1751	C₂²	—	4	1	no	—
1752	C₂²	—	4	1	no	—
1753	C₂²	—	4	1	no	—
1754	C₂²	—	4	1	no	—
1755	C₂²	—	4	1	no	—
1756	C₂²	—	4	1	no	—
1757	C₂²	—	4	1	no	—
1758	C₂²	—	4	1	no	—
1759	C₂²	—	4	1	no	—
1760	C₂²	—	4	1	no	—
1761	C₂²	—	4	1	no	—
1762	C₂²	—	4	1	no	—
1763	C₂²	—	4	1	no	—
1764	C₂²	—	8	4	no	—
1765	C₂²	—	8	4	no	—
1766	C₂²	—	16	2	no	—
1767	C₂²	—	16	2	no	—
1768	C₂²	C₃₁×#575	1	2	yes	—
1769	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1770	C₄	—	2	1	no	—
1771	C₄	—	2	1	no	—
1772	C₄	—	2	1	no	—
1773	C₄	—	2	1	no	—
1774	C₄	—	2	1	no	—
1775	C₄	—	2	1	no	—
1776	C₄	—	2	1	no	—
1777	C₄	—	2	1	no	—
1778	C₄	—	2	1	no	—
1779	C₄	—	2	1	no	—
1780	C₄	—	2	1	no	—
1781	C₄	—	4	1	no	—
1782	C₄	—	4	1	no	—
1783	C₄	—	4	1	no	—
1784	C₄	—	4	1	no	—
1785	C₄	—	4	1	no	—
1786	C₄	—	4	1	no	—
1787	C₄	—	4	1	no	—
1788	C₄	—	4	1	no	—
1789	C₄	—	4	1	no	—
1790	C₄	—	4	1	no	—
1791	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1792	C₄	C₃₁×#585	1	1	yes	characteristic
1793	C₂	—	2	2	no	—
1794	C₂	—	4	1	no	—
1795	C₂	—	4	1	no	—
1796	C₂	—	4	2	no	—
1797	C₂	—	8	1	no	—
1798	C₂	—	8	1	no	—
1799	C₂	—	8	1	no	—
1800	C₂	—	8	1	no	—
1801	C₂	—	8	1	no	—
1802	C₂	C₃₁×#3488	1	1	yes	characteristic
1803	C₂	C₂×C₃₁×#575	1	1	yes	characteristic
1804	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 ◁ 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×#3481	C₂	semidirect
3. C₃₁×#3403	C₂	semidirect
4. C₃₁×#3401	C₂	semidirect
5. C₃₁×#3376	C₂	semidirect
6. C₃₁×#3370	C₂	semidirect
7. C₃₁×#3326	C₂	semidirect
8. C₃₁×#3322	C₂	semidirect
9. C₃₁×#3320	C₂	semidirect
10. C₃₁×#3318	C₂	semidirect
11. C₃₁×#3316	C₂	semidirect
12. C₃₁×#3314	C₂	semidirect
13. C₃₁×#3275	C₂	semidirect
14. C₃₁×#3273	C₂	semidirect
15. C₃₁×#3266	C₂	semidirect
16. C₃₁×#3265	C₂	semidirect
17. C₃₁×#3264	C₂	semidirect
18. C₃₁×#3264	C₂	semidirect
19. C₃₁×#3256	C₂	semidirect
20. C₃₁×#3251	C₂	semidirect
21. C₃₁×#3250	C₂	semidirect
22. C₃₁×#3219	C₂	semidirect
23. C₃₁×#3213	C₂	semidirect
24. C₃₁×#3211	C₂	semidirect
25. C₃₁×#3114	C₂	semidirect
26. C₃₁×#3111	C₂	semidirect
27. C₃₁×#3105	C₂	semidirect
28. C₃₁×#3040	C₂	semidirect
29. C₃₁×#3036	C₂	semidirect
30. C₂×C₃₁×#463	C₂	semidirect
31. C₃₁×#2989	C₂	semidirect
32. C₂×C₃₁×#137	C₂²	semidirect
34. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
35. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
36. C₂²×SD₁₆×C₃₁	C₂²	semidirect
38. C₃₁×#559	C₂²	semidirect
39. C₃₁×#559	C₂²	semidirect
40. C₃₁×#556	C₂²	semidirect
42. C₃₁×#554	C₂²	semidirect
43. C₃₁×#554	C₂²	semidirect
46. C₃₁×#553	C₂²	semidirect
51. D₄×Q₈×C₃₁	C₂²	semidirect
53. C₃₁×#548	C₂²	semidirect
58. C₃₁×#546	C₂²	semidirect
59. C₃₁×#546	C₂²	semidirect
60. D₄²×C₃₁	C₂²	semidirect
61. D₄²×C₃₁	C₂²	semidirect
65. C₃₁×#532	C₂²	semidirect
66. C₃₁×#532	C₂²	semidirect
68. C₃₁×#529	C₂²	semidirect
69. C₃₁×#529	C₂²	semidirect
70. C₃₁×#529	C₂²	semidirect
71. C₃₁×#529	C₂²	semidirect
72. C₃₁×#529	C₂²	semidirect
73. C₂×C₃₁×#124	C₂²	semidirect
74. C₂×C₃₁×#124	C₂²	semidirect
79. C₄×#41×C₃₁	C₂²	semidirect
81. C₂×C₄×D₄×C₃₁	C₂²	semidirect
82. C₂×C₄×D₄×C₃₁	C₂²	semidirect
83. C₃₁×#497	C₂²	semidirect
85. C₃₁×#496	C₂²	semidirect
86. C₃₁×#496	C₂²	semidirect
87. C₃₁×#495	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×#484	C₂²	semidirect
97. C₃₁×#483	C₂²	semidirect
98. C₃₁×#482	C₂²	semidirect
99. C₃₁×#481	C₂²	semidirect
100. C₃₁×#480	C₂²	semidirect
101. C₃₁×#479	C₂²	semidirect
102. C₃₁×#479	C₂²	semidirect
103. C₃₁×#479	C₂²	semidirect
104. C₃₁×#478	C₂²	semidirect
105. C₃₁×#478	C₂²	semidirect
106. C₃₁×#478	C₂²	semidirect
107. C₃₁×#478	C₂²	semidirect
108. C₃₁×#478	C₂²	semidirect
109. C₃₁×#475	C₂²	semidirect
110. C₃₁×#474	C₂²	semidirect
111. C₃₁×#470	C₂²	semidirect
113. C₃₁×#469	C₂²	semidirect
114. C₃₁×#469	C₂²	semidirect
115. C₃₁×#468	C₂²	semidirect
116. C₃₁×#468	C₂²	semidirect
117. C₃₁×#468	C₂²	semidirect
118. C₃₁×#468	C₂²	semidirect
119. 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
133. C₃₁×#463	C₂²	semidirect
134. C₃₁×#463	C₂²	semidirect
135. C₃₁×#463	C₂²	semidirect
136. C₃₁×#463	C₂²	semidirect
137. C₃₁×#463	C₂²	semidirect
138. C₃₁×#463	C₂²	semidirect
139. C₃₁×#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×#461	C₂²	semidirect
148. C₃₁×#461	C₂²	semidirect
149. C₃₁×#460	C₂²	semidirect
151. C₃₁×#459	C₂²	semidirect
152. C₃₁×#459	C₂²	semidirect
153. C₃₁×#452	C₂²	semidirect
154. C₃₁×#452	C₂²	semidirect
155. C₃₁×#452	C₂²	semidirect
156. C₃₁×#451	C₂²	semidirect
157. C₃₁×#450	C₂²	semidirect
158. C₃₁×#450	C₂²	semidirect
159. C₃₁×#450	C₂²	semidirect
161. C₃₁×#449	C₂²	semidirect
162. C₃₁×#449	C₂²	semidirect
163. C₃₁×#448	C₂²	semidirect
164. C₃₁×#448	C₂²	semidirect
165. C₃₁×#448	C₂²	semidirect
169. C₃₁×#447	C₂²	semidirect
170. C₃₁×#447	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×SD₁₆×C₃₁	C₂²	semidirect
182. C₄×SD₁₆×C₃₁	C₂²	semidirect
183. C₄×D₈×C₃₁	C₂²	semidirect
184. C₄×D₈×C₃₁	C₂²	semidirect
185. C₃₁×#436	C₂²	semidirect
186. C₃₁×#436	C₂²	semidirect
187. C₃₁×#435	C₂²	semidirect
188. C₃₁×#435	C₂²	semidirect
189. C₃₁×#435	C₂²	semidirect
190. C₃₁×#435	C₂²	semidirect
191. C₃₁×#432	C₂²	semidirect
192. C₃₁×#432	C₂²	semidirect
193. C₃₁×#431	C₂²	semidirect
194. C₃₁×#423	C₂²	semidirect
195. C₃₁×#423	C₂²	semidirect
196. C₂×C₃₁×C₄⋊C₈	C₂²	semidirect
197. C₃₁×#419	C₂²	semidirect
198. C₃₁×#418	C₂²	semidirect
199. C₃₁×#417	C₂²	semidirect
200. C₃₁×#417	C₂²	semidirect
201. C₂×C₃₁×#103	C₂²	semidirect
202. C₂×C₃₁×#102	C₂²	semidirect
709. #61971	C₃₁	direct (N × H)
836. #3514	C₂×C₃₁	semidirect
837. #3481	C₂×C₃₁	semidirect
838. #3403	C₂×C₃₁	semidirect
839. #3401	C₂×C₃₁	semidirect
840. #3376	C₂×C₃₁	semidirect
841. #3370	C₂×C₃₁	semidirect
842. #3326	C₂×C₃₁	semidirect
843. #3322	C₂×C₃₁	semidirect
844. #3320	C₂×C₃₁	semidirect
845. #3318	C₂×C₃₁	semidirect
846. #3316	C₂×C₃₁	semidirect
847. #3314	C₂×C₃₁	semidirect
848. #3275	C₂×C₃₁	semidirect
849. #3273	C₂×C₃₁	semidirect
850. #3266	C₂×C₃₁	semidirect
851. #3265	C₂×C₃₁	semidirect
852. #3264	C₂×C₃₁	semidirect
853. #3264	C₂×C₃₁	semidirect
854. #3256	C₂×C₃₁	semidirect
855. #3251	C₂×C₃₁	semidirect
856. #3250	C₂×C₃₁	semidirect
857. #3219	C₂×C₃₁	semidirect
858. #3213	C₂×C₃₁	semidirect
859. #3211	C₂×C₃₁	semidirect
860. #3114	C₂×C₃₁	semidirect
861. #3111	C₂×C₃₁	semidirect
862. #3105	C₂×C₃₁	semidirect
863. #3040	C₂×C₃₁	semidirect
864. #3036	C₂×C₃₁	semidirect
865. C₂×#463	C₂×C₃₁	semidirect
866. #2989	C₂×C₃₁	semidirect
922. C₂×#137	C₂²×C₃₁	semidirect
924. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
925. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
926. C₂²×SD₁₆	C₂²×C₃₁	semidirect
928. #559	C₂²×C₃₁	semidirect
929. #559	C₂²×C₃₁	semidirect
930. #556	C₂²×C₃₁	semidirect
932. #554	C₂²×C₃₁	semidirect
933. #554	C₂²×C₃₁	semidirect
936. #553	C₂²×C₃₁	semidirect
941. D₄×Q₈	C₂²×C₃₁	semidirect
943. #548	C₂²×C₃₁	semidirect
948. #546	C₂²×C₃₁	semidirect
949. #546	C₂²×C₃₁	semidirect
950. D₄²	C₂²×C₃₁	semidirect
951. D₄²	C₂²×C₃₁	semidirect
955. #532	C₂²×C₃₁	semidirect
956. #532	C₂²×C₃₁	semidirect
958. #529	C₂²×C₃₁	semidirect
959. #529	C₂²×C₃₁	semidirect
960. #529	C₂²×C₃₁	semidirect
961. #529	C₂²×C₃₁	semidirect
962. #529	C₂²×C₃₁	semidirect
963. C₂×#124	C₂²×C₃₁	semidirect
964. C₂×#124	C₂²×C₃₁	semidirect
969. C₄×#41	C₂²×C₃₁	semidirect
971. C₂×C₄×D₄	C₂²×C₃₁	semidirect
972. C₂×C₄×D₄	C₂²×C₃₁	semidirect
973. #497	C₂²×C₃₁	semidirect
975. #496	C₂²×C₃₁	semidirect
976. #496	C₂²×C₃₁	semidirect
977. #495	C₂²×C₃₁	semidirect
978. #495	C₂²×C₃₁	semidirect
979. #491	C₂²×C₃₁	semidirect
980. #490	C₂²×C₃₁	semidirect
981. #489	C₂²×C₃₁	semidirect
982. #489	C₂²×C₃₁	semidirect
983. #488	C₂²×C₃₁	semidirect
984. #488	C₂²×C₃₁	semidirect
985. #485	C₂²×C₃₁	semidirect
986. #484	C₂²×C₃₁	semidirect
987. #483	C₂²×C₃₁	semidirect
988. #482	C₂²×C₃₁	semidirect
989. #481	C₂²×C₃₁	semidirect
990. #480	C₂²×C₃₁	semidirect
991. #479	C₂²×C₃₁	semidirect
992. #479	C₂²×C₃₁	semidirect
993. #479	C₂²×C₃₁	semidirect
994. #478	C₂²×C₃₁	semidirect
995. #478	C₂²×C₃₁	semidirect
996. #478	C₂²×C₃₁	semidirect
997. #478	C₂²×C₃₁	semidirect
998. #478	C₂²×C₃₁	semidirect
999. #475	C₂²×C₃₁	semidirect
1000. #474	C₂²×C₃₁	semidirect
1001. #470	C₂²×C₃₁	semidirect
1003. #469	C₂²×C₃₁	semidirect
1004. #469	C₂²×C₃₁	semidirect
1005. #468	C₂²×C₃₁	semidirect
1006. #468	C₂²×C₃₁	semidirect
1007. #468	C₂²×C₃₁	semidirect
1008. #468	C₂²×C₃₁	semidirect
1009. #467	C₂²×C₃₁	semidirect
1011. #465	C₂²×C₃₁	semidirect
1012. #465	C₂²×C₃₁	semidirect
1013. #464	C₂²×C₃₁	semidirect
1014. #464	C₂²×C₃₁	semidirect
1015. #464	C₂²×C₃₁	semidirect
1016. #464	C₂²×C₃₁	semidirect
1017. #464	C₂²×C₃₁	semidirect
1018. #464	C₂²×C₃₁	semidirect
1019. #464	C₂²×C₃₁	semidirect
1023. #463	C₂²×C₃₁	semidirect
1024. #463	C₂²×C₃₁	semidirect
1025. #463	C₂²×C₃₁	semidirect
1026. #463	C₂²×C₃₁	semidirect
1027. #463	C₂²×C₃₁	semidirect
1028. #463	C₂²×C₃₁	semidirect
1029. #463	C₂²×C₃₁	semidirect
1030. #463	C₂²×C₃₁	semidirect
1031. #463	C₂²×C₃₁	semidirect
1032. #463	C₂²×C₃₁	semidirect
1033. #463	C₂²×C₃₁	semidirect
1034. #463	C₂²×C₃₁	semidirect
1035. #463	C₂²×C₃₁	semidirect
1036. #463	C₂²×C₃₁	semidirect
1037. #461	C₂²×C₃₁	semidirect
1038. #461	C₂²×C₃₁	semidirect
1039. #460	C₂²×C₃₁	semidirect
1041. #459	C₂²×C₃₁	semidirect
1042. #459	C₂²×C₃₁	semidirect
1043. #452	C₂²×C₃₁	semidirect
1044. #452	C₂²×C₃₁	semidirect
1045. #452	C₂²×C₃₁	semidirect
1046. #451	C₂²×C₃₁	semidirect
1047. #450	C₂²×C₃₁	semidirect
1048. #450	C₂²×C₃₁	semidirect
1049. #450	C₂²×C₃₁	semidirect
1051. #449	C₂²×C₃₁	semidirect
1052. #449	C₂²×C₃₁	semidirect
1053. #448	C₂²×C₃₁	semidirect
1054. #448	C₂²×C₃₁	semidirect
1055. #448	C₂²×C₃₁	semidirect
1059. #447	C₂²×C₃₁	semidirect
1060. #447	C₂²×C₃₁	semidirect
1061. #446	C₂²×C₃₁	semidirect
1062. #446	C₂²×C₃₁	semidirect
1064. #442	C₂²×C₃₁	semidirect
1065. #442	C₂²×C₃₁	semidirect
1066. #441	C₂²×C₃₁	semidirect
1067. #440	C₂²×C₃₁	semidirect
1068. #440	C₂²×C₃₁	semidirect
1069. #440	C₂²×C₃₁	semidirect
1070. #440	C₂²×C₃₁	semidirect
1071. C₄×SD₁₆	C₂²×C₃₁	semidirect
1072. C₄×SD₁₆	C₂²×C₃₁	semidirect
1073. C₄×D₈	C₂²×C₃₁	semidirect
1074. C₄×D₈	C₂²×C₃₁	semidirect
1075. #436	C₂²×C₃₁	semidirect
1076. #436	C₂²×C₃₁	semidirect
1077. #435	C₂²×C₃₁	semidirect
1078. #435	C₂²×C₃₁	semidirect
1079. #435	C₂²×C₃₁	semidirect
1080. #435	C₂²×C₃₁	semidirect
1081. #432	C₂²×C₃₁	semidirect
1082. #432	C₂²×C₃₁	semidirect
1083. #431	C₂²×C₃₁	semidirect
1084. #423	C₂²×C₃₁	semidirect
1085. #423	C₂²×C₃₁	semidirect
1086. C₂×C₄⋊C₈	C₂²×C₃₁	semidirect
1087. #419	C₂²×C₃₁	semidirect
1088. #418	C₂²×C₃₁	semidirect
1089. #417	C₂²×C₃₁	semidirect
1090. #417	C₂²×C₃₁	semidirect
1091. C₂×#103	C₂²×C₃₁	semidirect
1092. C₂×#102	C₂²×C₃₁	semidirect
1386. C₃₁	#61971	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×#3481	2
C₃₁×#3403	2
C₃₁×#3401	2
C₃₁×#3376	2
C₃₁×#3370	2
C₃₁×#3326	2
C₃₁×#3322	2
C₃₁×#3320	2
C₃₁×#3318	2
C₃₁×#3316	2
C₃₁×#3314	2
C₃₁×#3275	2
C₃₁×#3273	2
C₃₁×#3266	2
C₃₁×#3265	2
C₃₁×#3264	2
C₃₁×#3256	2
C₃₁×#3251	2
C₃₁×#3250	2
C₃₁×#3219	2
C₃₁×#3213	2
C₃₁×#3211	2
C₃₁×#3114	2
C₃₁×#3111	2
C₃₁×#3105	2
C₃₁×#3040	2
C₃₁×#3036	2
C₂×C₃₁×#463	2
C₃₁×#2989	2
#61971	31

Subgroups — C31×#61971 #21518730

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61971 #21518730