Subgroups — C₃₁×#62564 #21519323

Order 7936.

1780 conjugacy classes of subgroups.

The subgroup lattice has 1748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3565	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3543	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3371	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3368	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3366	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3325	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3324	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3323	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3322	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3319	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3318	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3318	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3317	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3311	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3310	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3310	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3309	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3241	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3241	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3240	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3224	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3224	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3217	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3183	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3179	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3179	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#3138	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#3136	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃₁×#3136	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃₁×#2967	C₂	1	1	yes	maximal, characteristic, complemented
32	C₃₁×#563	—	2	1	no	—
33	C₃₁×#562	—	2	1	no	—
34	C₃₁×#560	—	2	1	no	—
35	C₃₁×#560	—	2	1	no	—
36	C₃₁×#559	C₂²	1	1	yes	characteristic
37	C₃₁×#557	C₂²	1	1	yes	characteristic, complemented
38	C₃₁×#556	—	2	1	no	—
39	C₃₁×#556	C₂²	1	1	yes	characteristic, complemented
40	C₃₁×#555	C₂²	1	1	yes	characteristic, complemented
41	C₃₁×#554	C₂²	1	1	yes	characteristic, complemented
42	C₃₁×#553	C₂²	1	1	yes	characteristic, complemented
43	C₃₁×#553	C₂²	1	1	yes	characteristic, complemented
44	C₃₁×#552	—	2	1	no	—
45	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
46	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
47	C₃₁×#550	C₂²	1	1	yes	characteristic
48	C₃₁×#550	C₂²	1	1	yes	characteristic
49	C₃₁×#546	—	2	1	no	—
50	C₃₁×#546	C₂²	1	1	yes	characteristic
51	C₃₁×#546	C₂²	1	1	yes	characteristic
52	D₄²×C₃₁	—	2	1	no	—
53	D₄²×C₃₁	C₂²	1	1	yes	characteristic
54	D₄²×C₃₁	C₂²	1	1	yes	characteristic
55	D₄²×C₃₁	C₂²	1	1	yes	characteristic
56	C₃₁×#544	C₂²	1	1	yes	characteristic, complemented
57	C₃₁×#544	C₂²	1	1	yes	characteristic, complemented
58	C₃₁×#542	—	2	1	no	—
59	C₃₁×#542	—	2	1	no	—
60	C₃₁×#542	C₂²	1	1	yes	characteristic, complemented
61	C₃₁×#542	C₂²	1	1	yes	characteristic, complemented
62	C₃₁×#541	—	2	1	no	—
63	C₃₁×#540	—	2	1	no	—
64	C₃₁×#540	C₂²	1	1	yes	characteristic
65	C₃₁×#540	C₂²	1	1	yes	characteristic
66	C₃₁×#539	—	2	1	no	—
67	C₃₁×#535	—	2	1	no	—
68	C₃₁×#535	C₂²	1	1	yes	characteristic
69	C₃₁×#535	C₂²	1	1	yes	characteristic
70	C₃₁×#534	—	2	1	no	—
71	C₃₁×#534	—	2	1	no	—
72	C₃₁×#533	C₂²	1	1	yes	characteristic, complemented
73	C₂×C₃₁×#127	C₂²	1	1	yes	characteristic
74	C₃₁×#529	C₂²	1	1	yes	characteristic
75	C₃₁×#529	C₂²	1	1	yes	characteristic
76	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
77	C₃₁×#501	C₂²	1	1	yes	characteristic, complemented
78	C₃₁×#501	C₂²	1	1	yes	characteristic, complemented
79	C₃₁×#499	C₂²	1	1	yes	characteristic, complemented
80	C₃₁×#496	C₂²	1	1	yes	characteristic, complemented
81	C₃₁×#496	C₂²	1	1	yes	characteristic, complemented
82	C₃₁×#495	C₂²	1	1	yes	characteristic, complemented
83	C₃₁×#490	C₂²	1	1	yes	characteristic
84	C₃₁×#490	C₂²	1	1	yes	characteristic
85	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
86	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
87	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
88	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
89	C₃₁×#490	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×#489	C₂²	1	1	yes	characteristic, complemented
94	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
95	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
96	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
97	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
98	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
99	C₃₁×#486	C₂²	1	1	yes	characteristic, complemented
100	C₃₁×#486	C₂²	1	1	yes	characteristic, complemented
101	C₃₁×#486	C₂²	1	1	yes	characteristic, complemented
102	C₃₁×#486	C₂²	1	1	yes	characteristic, complemented
103	C₃₁×#486	C₂²	1	1	yes	characteristic, complemented
104	C₃₁×#486	C₂²	1	1	yes	characteristic, complemented
105	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
106	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#482	C₂²	1	1	yes	characteristic
108	C₃₁×#482	C₂²	1	1	yes	characteristic
109	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
110	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
111	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
113	C₃₁×#481	C₂²	1	1	yes	characteristic, complemented
114	C₃₁×#481	C₂²	1	1	yes	characteristic, complemented
115	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
116	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
117	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
118	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
119	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
120	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
121	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
122	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
123	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
124	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
125	C₃₁×#476	C₂²	1	1	yes	characteristic, complemented
126	C₃₁×#476	C₂²	1	1	yes	characteristic, complemented
127	C₃₁×#474	C₂²	1	1	yes	characteristic, complemented
128	C₃₁×#474	C₂²	1	1	yes	characteristic, complemented
129	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
130	C₃₁×#469	C₂²	1	1	yes	characteristic
131	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
132	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
133	C₃₁×#468	C₂²	1	1	yes	characteristic
134	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
135	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
136	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
137	C₃₁×#466	C₂²	1	1	yes	characteristic, complemented
138	C₃₁×#466	C₂²	1	1	yes	characteristic, complemented
139	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
140	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
141	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
142	C₃₁×#464	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×#460	C₂²	1	1	yes	characteristic
146	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
147	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
148	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
149	C₃₁×#459	C₂²	1	1	yes	characteristic
150	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
151	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
152	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
153	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
154	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
155	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
156	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
157	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
158	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
159	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
160	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
161	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
162	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
163	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
164	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
165	C₃₁×#446	C₂²	1	1	yes	characteristic, complemented
166	C₃₁×#446	C₂²	1	1	yes	characteristic, complemented
167	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
168	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
169	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
170	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
171	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
172	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
173	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
174	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
175	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
176	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
177	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
178	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
179	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
180	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
181	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
182	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
183	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
184	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
185	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
186	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
187	C₃₁×#432	C₂²	1	1	yes	characteristic, complemented
188	C₃₁×#418	C₂²	1	1	yes	characteristic, complemented
189	C₃₁×#418	C₂²	1	1	yes	characteristic, complemented
190	C₃₁×#418	C₂²	1	1	yes	characteristic, complemented
191	C₃₁×#418	C₂²	1	1	yes	characteristic, complemented
192	C₃₁×#418	C₂²	1	1	yes	characteristic, complemented
193	C₃₁×#418	C₂²	1	1	yes	characteristic, complemented
194	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
195	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
196	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
197	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₃₁×#102	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₃₁×#102	C₂²	1	1	yes	characteristic, complemented
200	C₃₁×#405	C₂²	1	1	yes	characteristic, complemented
201	C₃₁×#405	C₂²	1	1	yes	characteristic, complemented
202	C₄×M₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₃₁	—	2	1	no	—
204	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
205	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₃₁	—	2	1	no	—
207	C₂²×D₄×C₃₁	—	2	1	no	—
208	C₂²×D₄×C₃₁	—	2	1	no	—
209	C₂²×D₄×C₃₁	—	2	1	no	—
210	C₂²×D₄×C₃₁	—	2	1	no	—
211	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
214	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
215	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
222	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
223	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
224	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
225	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
227	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
228	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
229	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
230	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
231	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
232	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
233	C₃₁×C₄⋊Q₈	—	2	1	no	—
234	C₃₁×C₄⋊Q₈	—	2	1	no	—
235	C₃₁×C₄⋊Q₈	—	2	1	no	—
236	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
240	C₃₁×#127	—	2	1	no	—
241	C₃₁×#127	—	2	1	no	—
242	C₃₁×#127	—	2	1	no	—
243	C₃₁×#127	C₂³	1	1	yes	characteristic
244	C₃₁×#127	C₂³	1	1	yes	characteristic
245	C₃₁×#127	C₂³	1	1	yes	characteristic
246	C₃₁×#127	C₂³	1	1	yes	characteristic
247	C₃₁×#127	C₂³	1	1	yes	characteristic
248	C₃₁×#127	C₂³	1	1	yes	characteristic
249	C₃₁×#126	—	2	1	no	—
250	C₃₁×#126	—	2	1	no	—
251	C₃₁×#126	—	2	1	no	—
252	C₃₁×#126	—	2	1	no	—
253	C₃₁×#126	—	2	1	no	—
254	C₃₁×#126	—	2	1	no	—
255	C₃₁×#126	—	2	1	no	—
256	C₃₁×#126	—	2	1	no	—
257	C₃₁×#126	—	2	1	no	—
258	C₃₁×#126	—	2	1	no	—
259	C₃₁×#126	D₄	1	1	yes	characteristic
260	C₃₁×#126	D₄	1	1	yes	characteristic
261	C₃₁×#125	—	2	1	no	—
262	C₃₁×#125	—	2	1	no	—
263	C₃₁×#125	—	2	1	no	—
264	C₃₁×#125	—	2	1	no	—
265	C₃₁×#125	—	2	1	no	—
266	C₃₁×#125	—	2	1	no	—
267	C₃₁×#125	D₄	1	1	yes	characteristic
268	C₃₁×#125	C₂³	1	1	yes	characteristic
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×#125	C₂³	1	1	yes	characteristic
273	C₃₁×#125	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
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×#123	—	2	1	no	—
286	C₃₁×#123	—	2	1	no	—
287	C₃₁×#123	—	2	1	no	—
288	C₃₁×#123	—	2	1	no	—
289	C₃₁×#123	—	2	1	no	—
290	C₃₁×#123	—	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	D₄	1	1	yes	characteristic
302	C₃₁×#123	D₄	1	1	yes	characteristic
303	C₃₁×C₂²⋊Q₈	—	2	1	no	—
304	C₃₁×C₂²⋊Q₈	—	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	D₄	1	1	yes	characteristic
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×#121	—	2	1	no	—
320	C₃₁×#121	—	2	1	no	—
321	C₃₁×#121	—	2	1	no	—
322	C₃₁×#121	—	2	1	no	—
323	C₃₁×#121	—	2	1	no	—
324	C₃₁×#121	—	2	1	no	—
325	C₃₁×#121	—	2	1	no	—
326	C₃₁×#121	—	2	1	no	—
327	C₃₁×#121	—	2	1	no	—
328	C₃₁×#121	—	2	1	no	—
329	C₃₁×#121	—	2	1	no	—
330	C₃₁×#121	—	2	1	no	—
331	C₃₁×#121	—	2	1	no	—
332	C₃₁×#121	—	2	1	no	—
333	C₃₁×#121	—	2	1	no	—
334	C₃₁×#121	—	2	1	no	—
335	C₃₁×#121	—	2	1	no	—
336	C₃₁×#121	—	2	1	no	—
337	C₃₁×#121	—	2	1	no	—
338	C₃₁×#121	—	2	1	no	—
339	C₃₁×#121	—	2	1	no	—
340	C₃₁×#121	D₄	1	1	yes	characteristic
341	C₃₁×#121	C₂³	1	1	yes	characteristic
342	C₃₁×#121	C₂³	1	1	yes	characteristic
343	C₃₁×#121	C₂³	1	1	yes	characteristic
344	C₃₁×#121	C₂³	1	1	yes	characteristic
345	C₃₁×#121	C₂³	1	1	yes	characteristic
346	C₃₁×#121	C₂³	1	1	yes	characteristic
347	C₃₁×#121	C₂³	1	1	yes	characteristic
348	C₃₁×#121	C₂³	1	1	yes	characteristic
349	C₃₁×#120	—	2	1	no	—
350	C₃₁×#120	—	2	1	no	—
351	C₃₁×#120	—	2	1	no	—
352	C₃₁×#120	—	2	1	no	—
353	C₃₁×#120	—	2	1	no	—
354	C₃₁×#120	—	2	1	no	—
355	C₃₁×#120	—	2	1	no	—
356	C₃₁×#120	—	2	1	no	—
357	C₃₁×#120	—	2	1	no	—
358	C₃₁×#120	—	2	1	no	—
359	C₃₁×#120	—	2	1	no	—
360	C₃₁×#120	—	2	1	no	—
361	C₄×Q₈×C₃₁	—	2	1	no	—
362	C₄×Q₈×C₃₁	—	2	1	no	—
363	C₄×Q₈×C₃₁	—	2	1	no	—
364	C₄×Q₈×C₃₁	—	2	1	no	—
365	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
366	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
367	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
368	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
369	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
370	C₄×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	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	C₂³	1	1	yes	characteristic
393	C₃₁×#117	C₂³	1	1	yes	characteristic
394	C₃₁×#117	C₂³	1	1	yes	characteristic
395	C₃₁×#117	C₂³	1	1	yes	characteristic
396	C₃₁×#117	C₂³	1	1	yes	characteristic
397	C₃₁×#117	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
399	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
400	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
401	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
402	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
403	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
404	C₃₁×#107	C₂³	1	1	yes	characteristic
405	C₃₁×#107	C₂³	1	1	yes	characteristic
406	C₃₁×#107	C₂³	1	1	yes	characteristic
407	C₃₁×#107	C₂³	1	1	yes	characteristic
408	C₃₁×#107	C₂³	1	1	yes	characteristic
409	C₃₁×#107	C₂³	1	1	yes	characteristic
410	C₃₁×#106	C₂³	1	1	yes	characteristic
411	C₃₁×#106	C₂³	1	1	yes	characteristic
412	C₃₁×#106	C₂³	1	1	yes	characteristic
413	C₃₁×#106	C₂³	1	1	yes	characteristic
414	C₃₁×#106	C₂³	1	1	yes	characteristic
415	C₃₁×#106	C₂³	1	1	yes	characteristic
416	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
419	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
420	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
421	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
422	C₃₁×#103	C₂³	1	1	yes	characteristic
423	C₃₁×#103	C₂³	1	1	yes	characteristic
424	C₃₁×#103	C₂³	1	1	yes	characteristic
425	C₃₁×#103	C₂³	1	1	yes	characteristic
426	C₃₁×#103	C₂³	1	1	yes	characteristic
427	C₃₁×#103	C₂³	1	1	yes	characteristic
428	C₃₁×#103	C₂³	1	1	yes	characteristic
429	C₃₁×#103	C₂³	1	1	yes	characteristic
430	C₃₁×#102	C₂³	1	1	yes	characteristic
431	C₃₁×#102	C₂³	1	1	yes	characteristic
432	C₃₁×#102	C₂³	1	1	yes	characteristic
433	C₃₁×#102	C₂³	1	1	yes	characteristic
434	C₃₁×#102	C₂³	1	1	yes	characteristic
435	C₃₁×#102	C₂³	1	1	yes	characteristic
436	C₃₁×#102	C₂³	1	1	yes	characteristic
437	C₃₁×#102	C₂³	1	1	yes	characteristic
438	C₃₁×#102	C₂³	1	1	yes	characteristic
439	C₃₁×#102	C₂³	1	1	yes	characteristic
440	C₃₁×#102	C₂³	1	1	yes	characteristic
441	C₃₁×#102	C₂³	1	1	yes	characteristic
442	C₃₁×#102	C₂³	1	1	yes	characteristic
443	C₃₁×#102	C₂³	1	1	yes	characteristic
444	C₃₁×#102	C₂³	1	1	yes	characteristic
445	C₃₁×#102	C₂³	1	1	yes	characteristic
446	C₃₁×#102	C₂³	1	1	yes	characteristic
447	C₃₁×#102	C₂³	1	1	yes	characteristic
448	C₃₁×#102	C₂³	1	1	yes	characteristic
449	C₃₁×#102	C₂³	1	1	yes	characteristic
450	C₃₁×#102	C₂³	1	1	yes	characteristic
451	C₃₁×#102	C₂³	1	1	yes	characteristic
452	C₃₁×#102	C₂³	1	1	yes	characteristic
453	C₃₁×#102	C₂³	1	1	yes	characteristic
454	C₃₁×#102	C₂³	1	1	yes	characteristic
455	C₃₁×#102	C₂³	1	1	yes	characteristic
456	C₃₁×#102	C₂³	1	1	yes	characteristic
457	C₃₁×#102	C₂³	1	1	yes	characteristic
458	C₃₁×#102	C₂³	1	1	yes	characteristic
459	C₃₁×#102	C₂³	1	1	yes	characteristic
460	C₃₁×#102	C₂³	1	1	yes	characteristic
461	C₃₁×#102	C₂³	1	1	yes	characteristic
462	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
463	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
464	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
465	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₃₁×#97	C₂³	1	1	yes	characteristic
469	C₃₁×#97	C₂³	1	1	yes	characteristic
470	C₃₁×#97	C₂³	1	1	yes	characteristic
471	C₃₁×#97	C₂³	1	1	yes	characteristic
472	C₃₁×#97	C₂³	1	1	yes	characteristic
473	C₃₁×#97	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
478	C₂⁴×C₃₁	—	2	1	no	—
479	C₂⁴×C₃₁	—	2	1	no	—
480	C₂⁴×C₃₁	—	2	1	no	—
481	C₂⁴×C₃₁	—	2	1	no	—
482	#41×C₃₁	—	4	1	no	—
483	#41×C₃₁	—	4	1	no	—
484	#41×C₃₁	—	4	1	no	—
485	#41×C₃₁	—	4	1	no	—
486	#41×C₃₁	—	8	2	no	—
487	C₂×Q₈×C₃₁	—	2	1	no	—
488	C₂×Q₈×C₃₁	—	2	1	no	—
489	C₂×Q₈×C₃₁	—	2	1	no	—
490	C₂×Q₈×C₃₁	—	2	1	no	—
491	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
492	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
494	C₂×D₄×C₃₁	—	2	1	no	—
495	C₂×D₄×C₃₁	—	2	1	no	—
496	C₂×D₄×C₃₁	—	2	1	no	—
497	C₂×D₄×C₃₁	—	2	1	no	—
498	C₂×D₄×C₃₁	—	2	1	no	—
499	C₂×D₄×C₃₁	—	2	1	no	—
500	C₂×D₄×C₃₁	—	2	1	no	—
501	C₂×D₄×C₃₁	—	2	1	no	—
502	C₂×D₄×C₃₁	—	2	1	no	—
503	C₂×D₄×C₃₁	—	2	1	no	—
504	C₂×D₄×C₃₁	—	2	1	no	—
505	C₂×D₄×C₃₁	—	2	1	no	—
506	C₂×D₄×C₃₁	—	2	1	no	—
507	C₂×D₄×C₃₁	—	2	1	no	—
508	C₂×D₄×C₃₁	—	2	1	no	—
509	C₂×D₄×C₃₁	—	2	1	no	—
510	C₂×D₄×C₃₁	—	2	1	no	—
511	C₂×D₄×C₃₁	—	2	1	no	—
512	C₂×D₄×C₃₁	—	2	1	no	—
513	C₂×D₄×C₃₁	—	2	1	no	—
514	C₂×D₄×C₃₁	—	2	1	no	—
515	C₂×D₄×C₃₁	—	2	1	no	—
516	C₂×D₄×C₃₁	—	2	1	no	—
517	C₂×D₄×C₃₁	—	2	1	no	—
518	C₂×D₄×C₃₁	—	2	1	no	—
519	C₂×D₄×C₃₁	—	2	1	no	—
520	C₂×D₄×C₃₁	—	4	1	no	—
521	C₂×D₄×C₃₁	—	4	1	no	—
522	C₂×D₄×C₃₁	—	4	1	no	—
523	C₂×D₄×C₃₁	—	4	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	—	8	2	no	—
529	C₂×D₄×C₃₁	—	8	2	no	—
530	C₂×D₄×C₃₁	—	8	2	no	—
531	C₂×D₄×C₃₁	—	8	2	no	—
532	C₂×D₄×C₃₁	—	8	2	no	—
533	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
534	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
535	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
536	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
537	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
538	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
539	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	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	C₂×D₄	1	1	yes	characteristic
555	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
556	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
559	Q₁₆×C₃₁	—	4	1	no	—
560	SD₁₆×C₃₁	—	4	1	no	—
561	SD₁₆×C₃₁	—	4	1	no	—
562	SD₁₆×C₃₁	—	4	1	no	—
563	SD₁₆×C₃₁	—	4	1	no	—
564	SD₁₆×C₃₁	—	4	1	no	—
565	SD₁₆×C₃₁	—	4	1	no	—
566	D₈×C₃₁	—	4	1	no	—
567	D₈×C₃₁	—	4	1	no	—
568	D₈×C₃₁	—	4	1	no	—
569	D₈×C₃₁	—	4	1	no	—
570	D₈×C₃₁	—	4	1	no	—
571	M₁₆×C₃₁	—	4	1	no	—
572	M₁₆×C₃₁	—	4	1	no	—
573	M₁₆×C₃₁	—	4	1	no	—
574	M₁₆×C₃₁	—	4	1	no	—
575	C₂×C₈×C₃₁	—	4	1	no	—
576	C₂×C₈×C₃₁	—	4	1	no	—
577	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
578	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
579	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
580	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
581	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
582	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
585	C₄⋊C₄×C₃₁	—	2	1	no	—
586	C₄⋊C₄×C₃₁	—	2	1	no	—
587	C₄⋊C₄×C₃₁	—	2	1	no	—
588	C₄⋊C₄×C₃₁	—	2	1	no	—
589	C₄⋊C₄×C₃₁	—	2	1	no	—
590	C₄⋊C₄×C₃₁	—	2	1	no	—
591	C₄⋊C₄×C₃₁	—	2	1	no	—
592	C₄⋊C₄×C₃₁	—	2	1	no	—
593	C₄⋊C₄×C₃₁	—	2	1	no	—
594	C₄⋊C₄×C₃₁	—	2	1	no	—
595	C₄⋊C₄×C₃₁	—	2	1	no	—
596	C₄⋊C₄×C₃₁	—	2	1	no	—
597	C₄⋊C₄×C₃₁	—	2	1	no	—
598	C₄⋊C₄×C₃₁	—	2	1	no	—
599	C₄⋊C₄×C₃₁	—	2	1	no	—
600	C₄⋊C₄×C₃₁	—	2	1	no	—
601	C₄⋊C₄×C₃₁	—	2	1	no	—
602	C₄⋊C₄×C₃₁	—	2	1	no	—
603	C₄⋊C₄×C₃₁	—	2	1	no	—
604	C₄⋊C₄×C₃₁	—	2	1	no	—
605	C₄⋊C₄×C₃₁	—	2	1	no	—
606	C₄⋊C₄×C₃₁	—	2	1	no	—
607	C₄⋊C₄×C₃₁	—	2	1	no	—
608	C₄⋊C₄×C₃₁	—	2	1	no	—
609	C₄⋊C₄×C₃₁	—	2	1	no	—
610	C₄⋊C₄×C₃₁	—	2	1	no	—
611	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
613	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
614	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
615	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
616	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
617	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
618	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
619	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
620	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
621	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
622	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
623	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
624	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
625	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
626	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
627	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
628	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
629	C₂²⋊C₄×C₃₁	—	2	1	no	—
630	C₂²⋊C₄×C₃₁	—	2	1	no	—
631	C₂²⋊C₄×C₃₁	—	2	1	no	—
632	C₂²⋊C₄×C₃₁	—	2	1	no	—
633	C₂²⋊C₄×C₃₁	—	2	1	no	—
634	C₂²⋊C₄×C₃₁	—	2	1	no	—
635	C₂²⋊C₄×C₃₁	—	2	1	no	—
636	C₂²⋊C₄×C₃₁	—	2	1	no	—
637	C₂²⋊C₄×C₃₁	—	2	1	no	—
638	C₂²⋊C₄×C₃₁	—	2	1	no	—
639	C₂²⋊C₄×C₃₁	—	2	1	no	—
640	C₂²⋊C₄×C₃₁	—	2	1	no	—
641	C₂²⋊C₄×C₃₁	—	2	1	no	—
642	C₂²⋊C₄×C₃₁	—	2	1	no	—
643	C₂²⋊C₄×C₃₁	—	2	1	no	—
644	C₂²⋊C₄×C₃₁	—	2	1	no	—
645	C₂²⋊C₄×C₃₁	—	2	1	no	—
646	C₂²⋊C₄×C₃₁	—	2	1	no	—
647	C₂²⋊C₄×C₃₁	—	2	1	no	—
648	C₂²⋊C₄×C₃₁	—	2	1	no	—
649	C₂²⋊C₄×C₃₁	—	2	1	no	—
650	C₂²⋊C₄×C₃₁	—	2	1	no	—
651	C₂²⋊C₄×C₃₁	—	2	1	no	—
652	C₂²⋊C₄×C₃₁	—	2	1	no	—
653	C₂²⋊C₄×C₃₁	—	2	1	no	—
654	C₂²⋊C₄×C₃₁	—	2	1	no	—
655	C₂²⋊C₄×C₃₁	—	2	1	no	—
656	C₂²⋊C₄×C₃₁	—	2	1	no	—
657	C₂²⋊C₄×C₃₁	—	2	1	no	—
658	C₂²⋊C₄×C₃₁	—	2	1	no	—
659	C₂²⋊C₄×C₃₁	—	2	1	no	—
660	C₂²⋊C₄×C₃₁	—	2	1	no	—
661	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
664	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
665	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
666	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
667	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
668	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
669	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
670	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
671	C₄²×C₃₁	—	2	1	no	—
672	C₄²×C₃₁	—	2	1	no	—
673	C₄²×C₃₁	—	2	1	no	—
674	C₄²×C₃₁	—	2	1	no	—
675	C₄²×C₃₁	—	2	1	no	—
676	C₄²×C₃₁	—	2	1	no	—
677	C₄²×C₃₁	—	2	1	no	—
678	C₄²×C₃₁	—	2	1	no	—
679	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
680	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
681	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
682	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
683	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
684	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
685	#62564	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
686	C₂³×C₃₁	—	2	1	no	—
687	C₂³×C₃₁	—	2	1	no	—
688	C₂³×C₃₁	—	2	1	no	—
689	C₂³×C₃₁	—	2	1	no	—
690	C₂³×C₃₁	—	2	1	no	—
691	C₂³×C₃₁	—	2	1	no	—
692	C₂³×C₃₁	—	4	2	no	—
693	C₂³×C₃₁	—	4	2	no	—
694	C₂³×C₃₁	—	8	1	no	—
695	C₂³×C₃₁	—	8	1	no	—
696	C₂³×C₃₁	—	8	1	no	—
697	C₂³×C₃₁	—	8	1	no	—
698	C₂³×C₃₁	—	8	1	no	—
699	C₂³×C₃₁	—	8	1	no	—
700	C₂³×C₃₁	—	8	1	no	—
701	C₂³×C₃₁	—	8	1	no	—
702	C₂³×C₃₁	—	8	1	no	—
703	C₂³×C₃₁	—	8	1	no	—
704	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
705	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
706	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
707	Q₈×C₃₁	—	2	1	no	—
708	Q₈×C₃₁	—	2	1	no	—
709	Q₈×C₃₁	—	2	1	no	—
710	Q₈×C₃₁	—	2	1	no	—
711	Q₈×C₃₁	—	4	1	no	—
712	Q₈×C₃₁	—	8	1	no	—
713	Q₈×C₃₁	—	8	1	no	—
714	Q₈×C₃₁	—	8	1	no	—
715	Q₈×C₃₁	—	8	1	no	—
716	D₄×C₃₁	—	2	1	no	—
717	D₄×C₃₁	—	2	1	no	—
718	D₄×C₃₁	—	2	1	no	—
719	D₄×C₃₁	—	2	1	no	—
720	D₄×C₃₁	—	2	1	no	—
721	D₄×C₃₁	—	2	1	no	—
722	D₄×C₃₁	—	2	1	no	—
723	D₄×C₃₁	—	2	1	no	—
724	D₄×C₃₁	—	2	1	no	—
725	D₄×C₃₁	—	2	1	no	—
726	D₄×C₃₁	—	2	1	no	—
727	D₄×C₃₁	—	2	1	no	—
728	D₄×C₃₁	—	4	1	no	—
729	D₄×C₃₁	—	4	1	no	—
730	D₄×C₃₁	—	4	1	no	—
731	D₄×C₃₁	—	4	2	no	—
732	D₄×C₃₁	—	4	2	no	—
733	D₄×C₃₁	—	4	2	no	—
734	D₄×C₃₁	—	8	1	no	—
735	D₄×C₃₁	—	8	1	no	—
736	D₄×C₃₁	—	8	1	no	—
737	D₄×C₃₁	—	8	1	no	—
738	D₄×C₃₁	—	8	1	no	—
739	D₄×C₃₁	—	8	1	no	—
740	D₄×C₃₁	—	8	1	no	—
741	D₄×C₃₁	—	8	1	no	—
742	D₄×C₃₁	—	8	1	no	—
743	D₄×C₃₁	—	8	1	no	—
744	D₄×C₃₁	—	8	1	no	—
745	D₄×C₃₁	—	8	1	no	—
746	D₄×C₃₁	—	8	1	no	—
747	D₄×C₃₁	—	8	1	no	—
748	D₄×C₃₁	—	8	1	no	—
749	D₄×C₃₁	—	8	1	no	—
750	D₄×C₃₁	—	8	1	no	—
751	D₄×C₃₁	—	8	1	no	—
752	D₄×C₃₁	—	8	1	no	—
753	D₄×C₃₁	—	8	1	no	—
754	D₄×C₃₁	—	8	1	no	—
755	D₄×C₃₁	—	8	1	no	—
756	D₄×C₃₁	—	8	1	no	—
757	C₂×C₄×C₃₁	—	2	1	no	—
758	C₂×C₄×C₃₁	—	2	1	no	—
759	C₂×C₄×C₃₁	—	2	1	no	—
760	C₂×C₄×C₃₁	—	2	1	no	—
761	C₂×C₄×C₃₁	—	2	1	no	—
762	C₂×C₄×C₃₁	—	2	1	no	—
763	C₂×C₄×C₃₁	—	2	1	no	—
764	C₂×C₄×C₃₁	—	2	1	no	—
765	C₂×C₄×C₃₁	—	2	1	no	—
766	C₂×C₄×C₃₁	—	2	1	no	—
767	C₂×C₄×C₃₁	—	2	1	no	—
768	C₂×C₄×C₃₁	—	2	1	no	—
769	C₂×C₄×C₃₁	—	2	1	no	—
770	C₂×C₄×C₃₁	—	2	1	no	—
771	C₂×C₄×C₃₁	—	2	1	no	—
772	C₂×C₄×C₃₁	—	2	1	no	—
773	C₂×C₄×C₃₁	—	4	1	no	—
774	C₂×C₄×C₃₁	—	4	1	no	—
775	C₂×C₄×C₃₁	—	4	2	no	—
776	C₂×C₄×C₃₁	—	8	1	no	—
777	C₂×C₄×C₃₁	—	8	1	no	—
778	C₂×C₄×C₃₁	—	8	1	no	—
779	C₂×C₄×C₃₁	—	8	1	no	—
780	C₂×C₄×C₃₁	—	8	1	no	—
781	C₂×C₄×C₃₁	—	8	1	no	—
782	C₂×C₄×C₃₁	—	8	1	no	—
783	C₂×C₄×C₃₁	—	8	1	no	—
784	C₂×C₄×C₃₁	—	8	1	no	—
785	C₂×C₄×C₃₁	—	8	1	no	—
786	C₂×C₄×C₃₁	—	8	1	no	—
787	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
799	C₈×C₃₁	—	2	1	no	—
800	C₈×C₃₁	—	2	1	no	—
801	C₈×C₃₁	—	2	1	no	—
802	C₈×C₃₁	—	2	1	no	—
803	C₈×C₃₁	—	2	1	no	—
804	C₈×C₃₁	—	2	1	no	—
805	C₈×C₃₁	—	2	1	no	—
806	C₈×C₃₁	—	2	1	no	—
807	#3565	C₂×C₃₁	1	1	yes	characteristic, complemented
808	#3543	C₂×C₃₁	1	1	yes	characteristic, complemented
809	#3371	C₂×C₃₁	1	1	yes	characteristic, complemented
810	#3370	C₂×C₃₁	1	1	yes	characteristic, complemented
811	#3368	C₂×C₃₁	1	1	yes	characteristic, complemented
812	#3366	C₂×C₃₁	1	1	yes	characteristic, complemented
813	#3325	C₂×C₃₁	1	1	yes	characteristic, complemented
814	#3324	C₂×C₃₁	1	1	yes	characteristic, complemented
815	#3323	C₂×C₃₁	1	1	yes	characteristic, complemented
816	#3322	C₂×C₃₁	1	1	yes	characteristic, complemented
817	#3319	C₂×C₃₁	1	1	yes	characteristic, complemented
818	#3318	C₂×C₃₁	1	1	yes	characteristic, complemented
819	#3318	C₂×C₃₁	1	1	yes	characteristic, complemented
820	#3317	C₂×C₃₁	1	1	yes	characteristic, complemented
821	#3311	C₂×C₃₁	1	1	yes	characteristic, complemented
822	#3310	C₂×C₃₁	1	1	yes	characteristic, complemented
823	#3310	C₂×C₃₁	1	1	yes	characteristic, complemented
824	#3309	C₂×C₃₁	1	1	yes	characteristic, complemented
825	#3241	C₂×C₃₁	1	1	yes	characteristic, complemented
826	#3241	C₂×C₃₁	1	1	yes	characteristic, complemented
827	#3240	C₂×C₃₁	1	1	yes	characteristic, complemented
828	#3224	C₂×C₃₁	1	1	yes	characteristic, complemented
829	#3224	C₂×C₃₁	1	1	yes	characteristic, complemented
830	#3217	C₂×C₃₁	1	1	yes	characteristic, complemented
831	#3183	C₂×C₃₁	1	1	yes	characteristic, complemented
832	#3179	C₂×C₃₁	1	1	yes	characteristic, complemented
833	#3179	C₂×C₃₁	1	1	yes	characteristic, complemented
834	#3138	C₂×C₃₁	1	1	yes	characteristic, complemented
835	#3136	C₂×C₃₁	1	1	yes	characteristic, complemented
836	#3136	C₂×C₃₁	1	1	yes	characteristic, complemented
837	#2967	C₂×C₃₁	1	1	yes	characteristic, complemented
838	C₂²×C₃₁	—	2	1	no	—
839	C₂²×C₃₁	—	2	1	no	—
840	C₂²×C₃₁	—	2	1	no	—
841	C₂²×C₃₁	—	2	1	no	—
842	C₂²×C₃₁	—	2	1	no	—
843	C₂²×C₃₁	—	2	1	no	—
844	C₂²×C₃₁	—	2	1	no	—
845	C₂²×C₃₁	—	2	1	no	—
846	C₂²×C₃₁	—	2	1	no	—
847	C₂²×C₃₁	—	4	1	no	—
848	C₂²×C₃₁	—	4	1	no	—
849	C₂²×C₃₁	—	4	1	no	—
850	C₂²×C₃₁	—	4	1	no	—
851	C₂²×C₃₁	—	4	1	no	—
852	C₂²×C₃₁	—	4	1	no	—
853	C₂²×C₃₁	—	4	1	no	—
854	C₂²×C₃₁	—	4	1	no	—
855	C₂²×C₃₁	—	4	1	no	—
856	C₂²×C₃₁	—	4	1	no	—
857	C₂²×C₃₁	—	4	1	no	—
858	C₂²×C₃₁	—	4	1	no	—
859	C₂²×C₃₁	—	4	1	no	—
860	C₂²×C₃₁	—	4	1	no	—
861	C₂²×C₃₁	—	4	1	no	—
862	C₂²×C₃₁	—	4	1	no	—
863	C₂²×C₃₁	—	4	1	no	—
864	C₂²×C₃₁	—	4	1	no	—
865	C₂²×C₃₁	—	16	2	no	—
866	C₂²×C₃₁	—	16	2	no	—
867	C₂²×C₃₁	—	16	2	no	—
868	C₂²×C₃₁	—	16	2	no	—
869	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
870	C₄×C₃₁	—	2	1	no	—
871	C₄×C₃₁	—	2	1	no	—
872	C₄×C₃₁	—	2	1	no	—
873	C₄×C₃₁	—	2	1	no	—
874	C₄×C₃₁	—	2	1	no	—
875	C₄×C₃₁	—	2	1	no	—
876	C₄×C₃₁	—	2	1	no	—
877	C₄×C₃₁	—	2	1	no	—
878	C₄×C₃₁	—	2	1	no	—
879	C₄×C₃₁	—	2	1	no	—
880	C₄×C₃₁	—	2	1	no	—
881	C₄×C₃₁	—	4	1	no	—
882	C₄×C₃₁	—	4	1	no	—
883	C₄×C₃₁	—	4	1	no	—
884	C₄×C₃₁	—	4	1	no	—
885	C₄×C₃₁	—	4	1	no	—
886	C₄×C₃₁	—	4	1	no	—
887	C₄×C₃₁	—	4	1	no	—
888	C₄×C₃₁	—	4	1	no	—
889	C₄×C₃₁	—	4	1	no	—
890	C₄×C₃₁	—	4	1	no	—
891	C₄×C₃₁	#585	1	1	yes	characteristic
892	C₄×C₃₁	#585	1	1	yes	characteristic
893	#563	—	2	1	no	—
894	#562	—	2	1	no	—
895	#560	—	2	1	no	—
896	#560	—	2	1	no	—
897	#559	C₂²×C₃₁	1	1	yes	characteristic
898	#557	C₂²×C₃₁	1	1	yes	characteristic, complemented
899	#556	—	2	1	no	—
900	#556	C₂²×C₃₁	1	1	yes	characteristic, complemented
901	#555	C₂²×C₃₁	1	1	yes	characteristic, complemented
902	#554	C₂²×C₃₁	1	1	yes	characteristic, complemented
903	#553	C₂²×C₃₁	1	1	yes	characteristic, complemented
904	#553	C₂²×C₃₁	1	1	yes	characteristic, complemented
905	#552	—	2	1	no	—
906	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
907	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
908	#550	C₂²×C₃₁	1	1	yes	characteristic
909	#550	C₂²×C₃₁	1	1	yes	characteristic
910	#546	—	2	1	no	—
911	#546	C₂²×C₃₁	1	1	yes	characteristic
912	#546	C₂²×C₃₁	1	1	yes	characteristic
913	D₄²	—	2	1	no	—
914	D₄²	C₂²×C₃₁	1	1	yes	characteristic
915	D₄²	C₂²×C₃₁	1	1	yes	characteristic
916	D₄²	C₂²×C₃₁	1	1	yes	characteristic
917	#544	C₂²×C₃₁	1	1	yes	characteristic, complemented
918	#544	C₂²×C₃₁	1	1	yes	characteristic, complemented
919	#542	—	2	1	no	—
920	#542	—	2	1	no	—
921	#542	C₂²×C₃₁	1	1	yes	characteristic, complemented
922	#542	C₂²×C₃₁	1	1	yes	characteristic, complemented
923	#541	—	2	1	no	—
924	#540	—	2	1	no	—
925	#540	C₂²×C₃₁	1	1	yes	characteristic
926	#540	C₂²×C₃₁	1	1	yes	characteristic
927	#539	—	2	1	no	—
928	#535	—	2	1	no	—
929	#535	C₂²×C₃₁	1	1	yes	characteristic
930	#535	C₂²×C₃₁	1	1	yes	characteristic
931	#534	—	2	1	no	—
932	#534	—	2	1	no	—
933	#533	C₂²×C₃₁	1	1	yes	characteristic, complemented
934	C₂×#127	C₂²×C₃₁	1	1	yes	characteristic
935	#529	C₂²×C₃₁	1	1	yes	characteristic
936	#529	C₂²×C₃₁	1	1	yes	characteristic
937	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
938	#501	C₂²×C₃₁	1	1	yes	characteristic, complemented
939	#501	C₂²×C₃₁	1	1	yes	characteristic, complemented
940	#499	C₂²×C₃₁	1	1	yes	characteristic, complemented
941	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
942	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
943	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
944	#490	C₂²×C₃₁	1	1	yes	characteristic
945	#490	C₂²×C₃₁	1	1	yes	characteristic
946	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
947	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
948	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
949	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
950	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
951	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
952	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
953	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
954	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
955	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
956	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
957	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
958	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
959	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
960	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
961	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
962	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
963	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
964	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
965	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
966	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
967	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
968	#482	C₂²×C₃₁	1	1	yes	characteristic
969	#482	C₂²×C₃₁	1	1	yes	characteristic
970	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
971	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
972	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
973	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
974	#481	C₂²×C₃₁	1	1	yes	characteristic, complemented
975	#481	C₂²×C₃₁	1	1	yes	characteristic, complemented
976	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
977	#480	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	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
985	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
986	#476	C₂²×C₃₁	1	1	yes	characteristic, complemented
987	#476	C₂²×C₃₁	1	1	yes	characteristic, complemented
988	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
989	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
990	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
991	#469	C₂²×C₃₁	1	1	yes	characteristic
992	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
993	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	#468	C₂²×C₃₁	1	1	yes	characteristic
995	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
996	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
997	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
998	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
999	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1000	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1001	#465	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	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1005	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1006	#460	C₂²×C₃₁	1	1	yes	characteristic
1007	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1008	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1009	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1010	#459	C₂²×C₃₁	1	1	yes	characteristic
1011	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1012	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1013	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1014	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1015	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1016	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1017	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1018	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1019	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1020	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1021	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1022	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1023	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1027	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1028	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1029	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1030	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1031	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1032	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1033	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1034	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1035	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1036	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1037	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1038	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1039	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1040	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1041	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1042	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1043	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1044	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1045	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1046	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1048	#432	C₂²×C₃₁	1	1	yes	characteristic, complemented
1049	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1050	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1051	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1052	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1053	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1054	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1055	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1056	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1057	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1058	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1059	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1060	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1061	#405	C₂²×C₃₁	1	1	yes	characteristic, complemented
1062	#405	C₂²×C₃₁	1	1	yes	characteristic, complemented
1063	C₄×M₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1064	C₂×C₃₁	—	4	1	no	—
1065	C₂×C₃₁	—	4	1	no	—
1066	C₂×C₃₁	—	4	1	no	—
1067	C₂×C₃₁	—	8	1	no	—
1068	C₂×C₃₁	—	8	1	no	—
1069	C₂×C₃₁	—	8	1	no	—
1070	C₂×C₃₁	—	8	1	no	—
1071	C₂×C₃₁	—	8	1	no	—
1072	C₂×C₃₁	—	8	1	no	—
1073	C₂×C₃₁	#3500	1	1	yes	characteristic
1074	C₂×C₃₁	#3585	1	1	yes	characteristic
1075	C₂×C₃₁	#3585	1	1	yes	characteristic
1076	C₂×#41	—	2	1	no	—
1077	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1078	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1079	C₂²×D₄	—	2	1	no	—
1080	C₂²×D₄	—	2	1	no	—
1081	C₂²×D₄	—	2	1	no	—
1082	C₂²×D₄	—	2	1	no	—
1083	C₂²×D₄	—	2	1	no	—
1084	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1085	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1086	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1087	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1088	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1089	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1090	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1091	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1092	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1093	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1094	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1095	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1096	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1097	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1098	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1099	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1100	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1101	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1102	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1103	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1104	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1105	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1106	C₄⋊Q₈	—	2	1	no	—
1107	C₄⋊Q₈	—	2	1	no	—
1108	C₄⋊Q₈	—	2	1	no	—
1109	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1110	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1111	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1112	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1113	#127	—	2	1	no	—
1114	#127	—	2	1	no	—
1115	#127	—	2	1	no	—
1116	#127	C₂³×C₃₁	1	1	yes	characteristic
1117	#127	C₂³×C₃₁	1	1	yes	characteristic
1118	#127	C₂³×C₃₁	1	1	yes	characteristic
1119	#127	C₂³×C₃₁	1	1	yes	characteristic
1120	#127	C₂³×C₃₁	1	1	yes	characteristic
1121	#127	C₂³×C₃₁	1	1	yes	characteristic
1122	#126	—	2	1	no	—
1123	#126	—	2	1	no	—
1124	#126	—	2	1	no	—
1125	#126	—	2	1	no	—
1126	#126	—	2	1	no	—
1127	#126	—	2	1	no	—
1128	#126	—	2	1	no	—
1129	#126	—	2	1	no	—
1130	#126	—	2	1	no	—
1131	#126	—	2	1	no	—
1132	#126	D₄×C₃₁	1	1	yes	characteristic
1133	#126	D₄×C₃₁	1	1	yes	characteristic
1134	#125	—	2	1	no	—
1135	#125	—	2	1	no	—
1136	#125	—	2	1	no	—
1137	#125	—	2	1	no	—
1138	#125	—	2	1	no	—
1139	#125	—	2	1	no	—
1140	#125	D₄×C₃₁	1	1	yes	characteristic
1141	#125	C₂³×C₃₁	1	1	yes	characteristic
1142	#125	C₂³×C₃₁	1	1	yes	characteristic
1143	#125	C₂³×C₃₁	1	1	yes	characteristic
1144	#125	C₂³×C₃₁	1	1	yes	characteristic
1145	#125	C₂³×C₃₁	1	1	yes	characteristic
1146	#125	C₂³×C₃₁	1	1	yes	characteristic
1147	#124	—	2	1	no	—
1148	#124	—	2	1	no	—
1149	#124	—	2	1	no	—
1150	#124	—	2	1	no	—
1151	#124	—	2	1	no	—
1152	#124	—	2	1	no	—
1153	#124	D₄×C₃₁	1	1	yes	characteristic
1154	#124	C₂³×C₃₁	1	1	yes	characteristic
1155	#124	C₂³×C₃₁	1	1	yes	characteristic
1156	#124	C₂³×C₃₁	1	1	yes	characteristic
1157	#124	C₂³×C₃₁	1	1	yes	characteristic
1158	#123	—	2	1	no	—
1159	#123	—	2	1	no	—
1160	#123	—	2	1	no	—
1161	#123	—	2	1	no	—
1162	#123	—	2	1	no	—
1163	#123	—	2	1	no	—
1164	#123	—	2	1	no	—
1165	#123	—	2	1	no	—
1166	#123	—	2	1	no	—
1167	#123	—	2	1	no	—
1168	#123	—	2	1	no	—
1169	#123	—	2	1	no	—
1170	#123	—	2	1	no	—
1171	#123	—	2	1	no	—
1172	#123	—	2	1	no	—
1173	#123	—	2	1	no	—
1174	#123	D₄×C₃₁	1	1	yes	characteristic
1175	#123	D₄×C₃₁	1	1	yes	characteristic
1176	C₂²⋊Q₈	—	2	1	no	—
1177	C₂²⋊Q₈	—	2	1	no	—
1178	C₂²⋊Q₈	—	2	1	no	—
1179	C₂²⋊Q₈	—	2	1	no	—
1180	C₂²⋊Q₈	—	2	1	no	—
1181	C₂²⋊Q₈	—	2	1	no	—
1182	C₂²⋊Q₈	—	2	1	no	—
1183	C₂²⋊Q₈	—	2	1	no	—
1184	C₂²⋊Q₈	—	2	1	no	—
1185	C₂²⋊Q₈	—	2	1	no	—
1186	C₂²⋊Q₈	—	2	1	no	—
1187	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1188	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1189	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1190	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1191	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1192	#121	—	2	1	no	—
1193	#121	—	2	1	no	—
1194	#121	—	2	1	no	—
1195	#121	—	2	1	no	—
1196	#121	—	2	1	no	—
1197	#121	—	2	1	no	—
1198	#121	—	2	1	no	—
1199	#121	—	2	1	no	—
1200	#121	—	2	1	no	—
1201	#121	—	2	1	no	—
1202	#121	—	2	1	no	—
1203	#121	—	2	1	no	—
1204	#121	—	2	1	no	—
1205	#121	—	2	1	no	—
1206	#121	—	2	1	no	—
1207	#121	—	2	1	no	—
1208	#121	—	2	1	no	—
1209	#121	—	2	1	no	—
1210	#121	—	2	1	no	—
1211	#121	—	2	1	no	—
1212	#121	—	2	1	no	—
1213	#121	D₄×C₃₁	1	1	yes	characteristic
1214	#121	C₂³×C₃₁	1	1	yes	characteristic
1215	#121	C₂³×C₃₁	1	1	yes	characteristic
1216	#121	C₂³×C₃₁	1	1	yes	characteristic
1217	#121	C₂³×C₃₁	1	1	yes	characteristic
1218	#121	C₂³×C₃₁	1	1	yes	characteristic
1219	#121	C₂³×C₃₁	1	1	yes	characteristic
1220	#121	C₂³×C₃₁	1	1	yes	characteristic
1221	#121	C₂³×C₃₁	1	1	yes	characteristic
1222	#120	—	2	1	no	—
1223	#120	—	2	1	no	—
1224	#120	—	2	1	no	—
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	#120	—	2	1	no	—
1232	#120	—	2	1	no	—
1233	#120	—	2	1	no	—
1234	C₄×Q₈	—	2	1	no	—
1235	C₄×Q₈	—	2	1	no	—
1236	C₄×Q₈	—	2	1	no	—
1237	C₄×Q₈	—	2	1	no	—
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×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1242	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
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	C₂³×C₃₁	1	1	yes	characteristic
1250	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1251	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1252	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1253	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1254	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1255	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1256	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1257	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1258	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1259	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1260	#117	—	2	1	no	—
1261	#117	—	2	1	no	—
1262	#117	—	2	1	no	—
1263	#117	—	2	1	no	—
1264	#117	—	2	1	no	—
1265	#117	C₂³×C₃₁	1	1	yes	characteristic
1266	#117	C₂³×C₃₁	1	1	yes	characteristic
1267	#117	C₂³×C₃₁	1	1	yes	characteristic
1268	#117	C₂³×C₃₁	1	1	yes	characteristic
1269	#117	C₂³×C₃₁	1	1	yes	characteristic
1270	#117	C₂³×C₃₁	1	1	yes	characteristic
1271	C₂×C₄⋊C₄	—	2	1	no	—
1272	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1273	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1274	C₂×C₂²⋊C₄	—	2	1	no	—
1275	C₂×C₂²⋊C₄	—	2	1	no	—
1276	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1277	#107	C₂³×C₃₁	1	1	yes	characteristic
1278	#107	C₂³×C₃₁	1	1	yes	characteristic
1279	#107	C₂³×C₃₁	1	1	yes	characteristic
1280	#107	C₂³×C₃₁	1	1	yes	characteristic
1281	#107	C₂³×C₃₁	1	1	yes	characteristic
1282	#107	C₂³×C₃₁	1	1	yes	characteristic
1283	#106	C₂³×C₃₁	1	1	yes	characteristic
1284	#106	C₂³×C₃₁	1	1	yes	characteristic
1285	#106	C₂³×C₃₁	1	1	yes	characteristic
1286	#106	C₂³×C₃₁	1	1	yes	characteristic
1287	#106	C₂³×C₃₁	1	1	yes	characteristic
1288	#106	C₂³×C₃₁	1	1	yes	characteristic
1289	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1290	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1291	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1292	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1293	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1294	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1295	#103	C₂³×C₃₁	1	1	yes	characteristic
1296	#103	C₂³×C₃₁	1	1	yes	characteristic
1297	#103	C₂³×C₃₁	1	1	yes	characteristic
1298	#103	C₂³×C₃₁	1	1	yes	characteristic
1299	#103	C₂³×C₃₁	1	1	yes	characteristic
1300	#103	C₂³×C₃₁	1	1	yes	characteristic
1301	#103	C₂³×C₃₁	1	1	yes	characteristic
1302	#103	C₂³×C₃₁	1	1	yes	characteristic
1303	#102	C₂³×C₃₁	1	1	yes	characteristic
1304	#102	C₂³×C₃₁	1	1	yes	characteristic
1305	#102	C₂³×C₃₁	1	1	yes	characteristic
1306	#102	C₂³×C₃₁	1	1	yes	characteristic
1307	#102	C₂³×C₃₁	1	1	yes	characteristic
1308	#102	C₂³×C₃₁	1	1	yes	characteristic
1309	#102	C₂³×C₃₁	1	1	yes	characteristic
1310	#102	C₂³×C₃₁	1	1	yes	characteristic
1311	#102	C₂³×C₃₁	1	1	yes	characteristic
1312	#102	C₂³×C₃₁	1	1	yes	characteristic
1313	#102	C₂³×C₃₁	1	1	yes	characteristic
1314	#102	C₂³×C₃₁	1	1	yes	characteristic
1315	#102	C₂³×C₃₁	1	1	yes	characteristic
1316	#102	C₂³×C₃₁	1	1	yes	characteristic
1317	#102	C₂³×C₃₁	1	1	yes	characteristic
1318	#102	C₂³×C₃₁	1	1	yes	characteristic
1319	#102	C₂³×C₃₁	1	1	yes	characteristic
1320	#102	C₂³×C₃₁	1	1	yes	characteristic
1321	#102	C₂³×C₃₁	1	1	yes	characteristic
1322	#102	C₂³×C₃₁	1	1	yes	characteristic
1323	#102	C₂³×C₃₁	1	1	yes	characteristic
1324	#102	C₂³×C₃₁	1	1	yes	characteristic
1325	#102	C₂³×C₃₁	1	1	yes	characteristic
1326	#102	C₂³×C₃₁	1	1	yes	characteristic
1327	#102	C₂³×C₃₁	1	1	yes	characteristic
1328	#102	C₂³×C₃₁	1	1	yes	characteristic
1329	#102	C₂³×C₃₁	1	1	yes	characteristic
1330	#102	C₂³×C₃₁	1	1	yes	characteristic
1331	#102	C₂³×C₃₁	1	1	yes	characteristic
1332	#102	C₂³×C₃₁	1	1	yes	characteristic
1333	#102	C₂³×C₃₁	1	1	yes	characteristic
1334	#102	C₂³×C₃₁	1	1	yes	characteristic
1335	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1336	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1337	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1338	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1339	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1340	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1341	#97	C₂³×C₃₁	1	1	yes	characteristic
1342	#97	C₂³×C₃₁	1	1	yes	characteristic
1343	#97	C₂³×C₃₁	1	1	yes	characteristic
1344	#97	C₂³×C₃₁	1	1	yes	characteristic
1345	#97	C₂³×C₃₁	1	1	yes	characteristic
1346	#97	C₂³×C₃₁	1	1	yes	characteristic
1347	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1348	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1349	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1350	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1351	C₃₁	#62564	1	1	yes	characteristic, direct product factor, Sylow
1352	C₂⁴	—	2	1	no	—
1353	C₂⁴	—	2	1	no	—
1354	C₂⁴	—	2	1	no	—
1355	C₂⁴	—	2	1	no	—
1356	#41	—	4	1	no	—
1357	#41	—	4	1	no	—
1358	#41	—	4	1	no	—
1359	#41	—	4	1	no	—
1360	#41	—	8	2	no	—
1361	C₂×Q₈	—	2	1	no	—
1362	C₂×Q₈	—	2	1	no	—
1363	C₂×Q₈	—	2	1	no	—
1364	C₂×Q₈	—	2	1	no	—
1365	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1366	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1367	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	—	2	1	no	—
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	2	1	no	—
1380	C₂×D₄	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	2	1	no	—
1388	C₂×D₄	—	2	1	no	—
1389	C₂×D₄	—	2	1	no	—
1390	C₂×D₄	—	2	1	no	—
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	4	1	no	—
1395	C₂×D₄	—	4	1	no	—
1396	C₂×D₄	—	4	1	no	—
1397	C₂×D₄	—	4	1	no	—
1398	C₂×D₄	—	4	1	no	—
1399	C₂×D₄	—	4	1	no	—
1400	C₂×D₄	—	4	1	no	—
1401	C₂×D₄	—	4	1	no	—
1402	C₂×D₄	—	8	2	no	—
1403	C₂×D₄	—	8	2	no	—
1404	C₂×D₄	—	8	2	no	—
1405	C₂×D₄	—	8	2	no	—
1406	C₂×D₄	—	8	2	no	—
1407	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1408	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1409	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1410	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1411	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1412	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1413	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1414	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1415	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1416	C₂²×C₄	—	2	1	no	—
1417	C₂²×C₄	—	2	1	no	—
1418	C₂²×C₄	—	2	1	no	—
1419	C₂²×C₄	—	2	1	no	—
1420	C₂²×C₄	—	2	1	no	—
1421	C₂²×C₄	—	2	1	no	—
1422	C₂²×C₄	—	2	1	no	—
1423	C₂²×C₄	—	2	1	no	—
1424	C₂²×C₄	—	2	1	no	—
1425	C₂²×C₄	—	2	1	no	—
1426	C₂²×C₄	—	2	1	no	—
1427	C₂²×C₄	—	2	1	no	—
1428	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1429	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1430	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1431	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1432	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1433	Q₁₆	—	4	1	no	—
1434	SD₁₆	—	4	1	no	—
1435	SD₁₆	—	4	1	no	—
1436	SD₁₆	—	4	1	no	—
1437	SD₁₆	—	4	1	no	—
1438	SD₁₆	—	4	1	no	—
1439	SD₁₆	—	4	1	no	—
1440	D₈	—	4	1	no	—
1441	D₈	—	4	1	no	—
1442	D₈	—	4	1	no	—
1443	D₈	—	4	1	no	—
1444	D₈	—	4	1	no	—
1445	M₁₆	—	4	1	no	—
1446	M₁₆	—	4	1	no	—
1447	M₁₆	—	4	1	no	—
1448	M₁₆	—	4	1	no	—
1449	C₂×C₈	—	4	1	no	—
1450	C₂×C₈	—	4	1	no	—
1451	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1452	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1453	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1454	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1455	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1456	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1457	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1458	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1486	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1487	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1488	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1489	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1490	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1494	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1495	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1496	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1497	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1498	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1499	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1500	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1501	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1502	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1536	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1537	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1538	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1539	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1540	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1541	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1542	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1543	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1544	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1545	C₄²	—	2	1	no	—
1546	C₄²	—	2	1	no	—
1547	C₄²	—	2	1	no	—
1548	C₄²	—	2	1	no	—
1549	C₄²	—	2	1	no	—
1550	C₄²	—	2	1	no	—
1551	C₄²	—	2	1	no	—
1552	C₄²	—	2	1	no	—
1553	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1554	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1555	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1556	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1557	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1558	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1559	C₂³	—	2	1	no	—
1560	C₂³	—	2	1	no	—
1561	C₂³	—	2	1	no	—
1562	C₂³	—	2	1	no	—
1563	C₂³	—	2	1	no	—
1564	C₂³	—	2	1	no	—
1565	C₂³	—	4	2	no	—
1566	C₂³	—	4	2	no	—
1567	C₂³	—	8	1	no	—
1568	C₂³	—	8	1	no	—
1569	C₂³	—	8	1	no	—
1570	C₂³	—	8	1	no	—
1571	C₂³	—	8	1	no	—
1572	C₂³	—	8	1	no	—
1573	C₂³	—	8	1	no	—
1574	C₂³	—	8	1	no	—
1575	C₂³	—	8	1	no	—
1576	C₂³	—	8	1	no	—
1577	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1578	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1579	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1580	Q₈	—	2	1	no	—
1581	Q₈	—	2	1	no	—
1582	Q₈	—	2	1	no	—
1583	Q₈	—	2	1	no	—
1584	Q₈	—	4	1	no	—
1585	Q₈	—	8	1	no	—
1586	Q₈	—	8	1	no	—
1587	Q₈	—	8	1	no	—
1588	Q₈	—	8	1	no	—
1589	D₄	—	2	1	no	—
1590	D₄	—	2	1	no	—
1591	D₄	—	2	1	no	—
1592	D₄	—	2	1	no	—
1593	D₄	—	2	1	no	—
1594	D₄	—	2	1	no	—
1595	D₄	—	2	1	no	—
1596	D₄	—	2	1	no	—
1597	D₄	—	2	1	no	—
1598	D₄	—	2	1	no	—
1599	D₄	—	2	1	no	—
1600	D₄	—	2	1	no	—
1601	D₄	—	4	1	no	—
1602	D₄	—	4	1	no	—
1603	D₄	—	4	1	no	—
1604	D₄	—	4	2	no	—
1605	D₄	—	4	2	no	—
1606	D₄	—	4	2	no	—
1607	D₄	—	8	1	no	—
1608	D₄	—	8	1	no	—
1609	D₄	—	8	1	no	—
1610	D₄	—	8	1	no	—
1611	D₄	—	8	1	no	—
1612	D₄	—	8	1	no	—
1613	D₄	—	8	1	no	—
1614	D₄	—	8	1	no	—
1615	D₄	—	8	1	no	—
1616	D₄	—	8	1	no	—
1617	D₄	—	8	1	no	—
1618	D₄	—	8	1	no	—
1619	D₄	—	8	1	no	—
1620	D₄	—	8	1	no	—
1621	D₄	—	8	1	no	—
1622	D₄	—	8	1	no	—
1623	D₄	—	8	1	no	—
1624	D₄	—	8	1	no	—
1625	D₄	—	8	1	no	—
1626	D₄	—	8	1	no	—
1627	D₄	—	8	1	no	—
1628	D₄	—	8	1	no	—
1629	D₄	—	8	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	4	1	no	—
1647	C₂×C₄	—	4	1	no	—
1648	C₂×C₄	—	4	2	no	—
1649	C₂×C₄	—	8	1	no	—
1650	C₂×C₄	—	8	1	no	—
1651	C₂×C₄	—	8	1	no	—
1652	C₂×C₄	—	8	1	no	—
1653	C₂×C₄	—	8	1	no	—
1654	C₂×C₄	—	8	1	no	—
1655	C₂×C₄	—	8	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	8	1	no	—
1658	C₂×C₄	—	8	1	no	—
1659	C₂×C₄	—	8	1	no	—
1660	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1661	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1662	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1663	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1664	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1665	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1666	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1667	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1668	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1669	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1670	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1671	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1672	C₈	—	2	1	no	—
1673	C₈	—	2	1	no	—
1674	C₈	—	2	1	no	—
1675	C₈	—	2	1	no	—
1676	C₈	—	2	1	no	—
1677	C₈	—	2	1	no	—
1678	C₈	—	2	1	no	—
1679	C₈	—	2	1	no	—
1680	C₂²	—	2	1	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	1	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	2	1	no	—
1688	C₂²	—	2	1	no	—
1689	C₂²	—	4	1	no	—
1690	C₂²	—	4	1	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	4	1	no	—
1697	C₂²	—	4	1	no	—
1698	C₂²	—	4	1	no	—
1699	C₂²	—	4	1	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	4	1	no	—
1704	C₂²	—	4	1	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	16	2	no	—
1708	C₂²	—	16	2	no	—
1709	C₂²	—	16	2	no	—
1710	C₂²	—	16	2	no	—
1711	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1712	C₄	—	2	1	no	—
1713	C₄	—	2	1	no	—
1714	C₄	—	2	1	no	—
1715	C₄	—	2	1	no	—
1716	C₄	—	2	1	no	—
1717	C₄	—	2	1	no	—
1718	C₄	—	2	1	no	—
1719	C₄	—	2	1	no	—
1720	C₄	—	2	1	no	—
1721	C₄	—	2	1	no	—
1722	C₄	—	2	1	no	—
1723	C₄	—	4	1	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	4	1	no	—
1726	C₄	—	4	1	no	—
1727	C₄	—	4	1	no	—
1728	C₄	—	4	1	no	—
1729	C₄	—	4	1	no	—
1730	C₄	—	4	1	no	—
1731	C₄	—	4	1	no	—
1732	C₄	—	4	1	no	—
1733	C₄	C₃₁×#585	1	1	yes	characteristic
1734	C₄	C₃₁×#585	1	1	yes	characteristic
1735	C₂	—	4	1	no	—
1736	C₂	—	4	1	no	—
1737	C₂	—	4	1	no	—
1738	C₂	—	8	1	no	—
1739	C₂	—	8	1	no	—
1740	C₂	—	8	1	no	—
1741	C₂	—	8	1	no	—
1742	C₂	—	8	1	no	—
1743	C₂	—	8	1	no	—
1744	C₂	C₃₁×#3500	1	1	yes	characteristic
1745	C₂	C₃₁×#3585	1	1	yes	characteristic
1746	C₂	C₃₁×#3585	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3565	C₂	semidirect
2. C₃₁×#3543	C₂	semidirect
3. C₃₁×#3371	C₂	semidirect
4. C₃₁×#3370	C₂	semidirect
5. C₃₁×#3368	C₂	semidirect
6. C₃₁×#3366	C₂	semidirect
7. C₃₁×#3325	C₂	semidirect
8. C₃₁×#3324	C₂	semidirect
9. C₃₁×#3323	C₂	semidirect
10. C₃₁×#3322	C₂	semidirect
11. C₃₁×#3319	C₂	semidirect
12. C₃₁×#3318	C₂	semidirect
13. C₃₁×#3318	C₂	semidirect
14. C₃₁×#3317	C₂	semidirect
15. C₃₁×#3311	C₂	semidirect
16. C₃₁×#3310	C₂	semidirect
17. C₃₁×#3310	C₂	semidirect
18. C₃₁×#3309	C₂	semidirect
19. C₃₁×#3241	C₂	semidirect
20. C₃₁×#3241	C₂	semidirect
21. C₃₁×#3240	C₂	semidirect
22. C₃₁×#3224	C₂	semidirect
23. C₃₁×#3224	C₂	semidirect
24. C₃₁×#3217	C₂	semidirect
25. C₃₁×#3183	C₂	semidirect
26. C₃₁×#3179	C₂	semidirect
27. C₃₁×#3179	C₂	semidirect
28. C₃₁×#3138	C₂	semidirect
29. C₃₁×#3136	C₂	semidirect
30. C₃₁×#3136	C₂	semidirect
31. C₃₁×#2967	C₂	semidirect
37. C₃₁×#557	C₂²	semidirect
39. C₃₁×#556	C₂²	semidirect
40. C₃₁×#555	C₂²	semidirect
41. C₃₁×#554	C₂²	semidirect
42. C₃₁×#553	C₂²	semidirect
43. C₃₁×#553	C₂²	semidirect
45. C₃₁×#552	C₂²	semidirect
46. C₃₁×#552	C₂²	semidirect
56. C₃₁×#544	C₂²	semidirect
57. C₃₁×#544	C₂²	semidirect
60. C₃₁×#542	C₂²	semidirect
61. C₃₁×#542	C₂²	semidirect
72. C₃₁×#533	C₂²	semidirect
76. C₃₁×#529	C₂²	semidirect
77. C₃₁×#501	C₂²	semidirect
78. C₃₁×#501	C₂²	semidirect
79. C₃₁×#499	C₂²	semidirect
80. C₃₁×#496	C₂²	semidirect
81. C₃₁×#496	C₂²	semidirect
82. C₃₁×#495	C₂²	semidirect
85. C₃₁×#490	C₂²	semidirect
86. C₃₁×#490	C₂²	semidirect
87. C₃₁×#490	C₂²	semidirect
88. C₃₁×#490	C₂²	semidirect
89. C₃₁×#490	C₂²	semidirect
90. C₃₁×#490	C₂²	semidirect
91. C₃₁×#489	C₂²	semidirect
92. C₃₁×#489	C₂²	semidirect
93. C₃₁×#489	C₂²	semidirect
94. C₃₁×#489	C₂²	semidirect
95. C₃₁×#488	C₂²	semidirect
96. C₃₁×#488	C₂²	semidirect
97. C₃₁×#488	C₂²	semidirect
98. C₃₁×#488	C₂²	semidirect
99. C₃₁×#486	C₂²	semidirect
100. C₃₁×#486	C₂²	semidirect
101. C₃₁×#486	C₂²	semidirect
102. C₃₁×#486	C₂²	semidirect
103. C₃₁×#486	C₂²	semidirect
104. C₃₁×#486	C₂²	semidirect
105. C₃₁×#485	C₂²	semidirect
106. C₃₁×#485	C₂²	semidirect
109. C₃₁×#482	C₂²	semidirect
110. C₃₁×#482	C₂²	semidirect
111. C₃₁×#482	C₂²	semidirect
112. C₃₁×#482	C₂²	semidirect
113. C₃₁×#481	C₂²	semidirect
114. C₃₁×#481	C₂²	semidirect
115. C₃₁×#480	C₂²	semidirect
116. C₃₁×#480	C₂²	semidirect
117. C₃₁×#479	C₂²	semidirect
118. C₃₁×#479	C₂²	semidirect
119. C₃₁×#478	C₂²	semidirect
120. C₃₁×#478	C₂²	semidirect
121. C₃₁×#478	C₂²	semidirect
122. C₃₁×#478	C₂²	semidirect
123. C₃₁×#478	C₂²	semidirect
124. C₃₁×#478	C₂²	semidirect
125. C₃₁×#476	C₂²	semidirect
126. C₃₁×#476	C₂²	semidirect
127. C₃₁×#474	C₂²	semidirect
128. C₃₁×#474	C₂²	semidirect
129. C₃₁×#470	C₂²	semidirect
131. C₃₁×#469	C₂²	semidirect
132. C₃₁×#469	C₂²	semidirect
134. C₃₁×#468	C₂²	semidirect
135. C₃₁×#468	C₂²	semidirect
136. C₃₁×#468	C₂²	semidirect
137. C₃₁×#466	C₂²	semidirect
138. C₃₁×#466	C₂²	semidirect
139. C₃₁×#465	C₂²	semidirect
140. C₃₁×#465	C₂²	semidirect
141. C₃₁×#464	C₂²	semidirect
142. C₃₁×#464	C₂²	semidirect
143. C₃₁×#463	C₂²	semidirect
144. C₃₁×#463	C₂²	semidirect
146. C₃₁×#460	C₂²	semidirect
147. C₃₁×#460	C₂²	semidirect
148. C₃₁×#460	C₂²	semidirect
150. C₃₁×#459	C₂²	semidirect
151. C₃₁×#459	C₂²	semidirect
152. C₃₁×#459	C₂²	semidirect
153. C₃₁×#452	C₂²	semidirect
154. C₃₁×#452	C₂²	semidirect
155. C₃₁×#450	C₂²	semidirect
156. C₃₁×#450	C₂²	semidirect
157. C₃₁×#450	C₂²	semidirect
158. C₃₁×#450	C₂²	semidirect
159. C₃₁×#449	C₂²	semidirect
160. C₃₁×#449	C₂²	semidirect
161. C₃₁×#447	C₂²	semidirect
162. C₃₁×#447	C₂²	semidirect
163. C₃₁×#447	C₂²	semidirect
164. C₃₁×#447	C₂²	semidirect
165. C₃₁×#446	C₂²	semidirect
166. C₃₁×#446	C₂²	semidirect
167. C₃₁×#442	C₂²	semidirect
168. C₃₁×#442	C₂²	semidirect
169. C₃₁×#442	C₂²	semidirect
170. C₃₁×#441	C₂²	semidirect
171. C₃₁×#440	C₂²	semidirect
172. C₃₁×#440	C₂²	semidirect
173. C₃₁×#440	C₂²	semidirect
174. C₃₁×#440	C₂²	semidirect
175. C₄×SD₁₆×C₃₁	C₂²	semidirect
176. C₄×SD₁₆×C₃₁	C₂²	semidirect
177. C₄×D₈×C₃₁	C₂²	semidirect
178. C₄×D₈×C₃₁	C₂²	semidirect
179. C₃₁×#436	C₂²	semidirect
180. C₃₁×#436	C₂²	semidirect
181. C₃₁×#435	C₂²	semidirect
182. C₃₁×#435	C₂²	semidirect
183. C₃₁×#435	C₂²	semidirect
184. C₃₁×#435	C₂²	semidirect
185. C₃₁×#433	C₂²	semidirect
186. C₃₁×#433	C₂²	semidirect
187. C₃₁×#432	C₂²	semidirect
188. C₃₁×#418	C₂²	semidirect
189. C₃₁×#418	C₂²	semidirect
190. C₃₁×#418	C₂²	semidirect
191. C₃₁×#418	C₂²	semidirect
192. C₃₁×#418	C₂²	semidirect
193. C₃₁×#418	C₂²	semidirect
194. C₃₁×#417	C₂²	semidirect
195. C₃₁×#417	C₂²	semidirect
196. C₃₁×#416	C₂²	semidirect
197. C₃₁×#416	C₂²	semidirect
198. C₂×C₃₁×#102	C₂²	semidirect
199. C₂×C₃₁×#102	C₂²	semidirect
200. C₃₁×#405	C₂²	semidirect
201. C₃₁×#405	C₂²	semidirect
202. C₄×M₁₆×C₃₁	C₂²	semidirect
685. #62564	C₃₁	direct (N × H)
807. #3565	C₂×C₃₁	semidirect
808. #3543	C₂×C₃₁	semidirect
809. #3371	C₂×C₃₁	semidirect
810. #3370	C₂×C₃₁	semidirect
811. #3368	C₂×C₃₁	semidirect
812. #3366	C₂×C₃₁	semidirect
813. #3325	C₂×C₃₁	semidirect
814. #3324	C₂×C₃₁	semidirect
815. #3323	C₂×C₃₁	semidirect
816. #3322	C₂×C₃₁	semidirect
817. #3319	C₂×C₃₁	semidirect
818. #3318	C₂×C₃₁	semidirect
819. #3318	C₂×C₃₁	semidirect
820. #3317	C₂×C₃₁	semidirect
821. #3311	C₂×C₃₁	semidirect
822. #3310	C₂×C₃₁	semidirect
823. #3310	C₂×C₃₁	semidirect
824. #3309	C₂×C₃₁	semidirect
825. #3241	C₂×C₃₁	semidirect
826. #3241	C₂×C₃₁	semidirect
827. #3240	C₂×C₃₁	semidirect
828. #3224	C₂×C₃₁	semidirect
829. #3224	C₂×C₃₁	semidirect
830. #3217	C₂×C₃₁	semidirect
831. #3183	C₂×C₃₁	semidirect
832. #3179	C₂×C₃₁	semidirect
833. #3179	C₂×C₃₁	semidirect
834. #3138	C₂×C₃₁	semidirect
835. #3136	C₂×C₃₁	semidirect
836. #3136	C₂×C₃₁	semidirect
837. #2967	C₂×C₃₁	semidirect
898. #557	C₂²×C₃₁	semidirect
900. #556	C₂²×C₃₁	semidirect
901. #555	C₂²×C₃₁	semidirect
902. #554	C₂²×C₃₁	semidirect
903. #553	C₂²×C₃₁	semidirect
904. #553	C₂²×C₃₁	semidirect
906. #552	C₂²×C₃₁	semidirect
907. #552	C₂²×C₃₁	semidirect
917. #544	C₂²×C₃₁	semidirect
918. #544	C₂²×C₃₁	semidirect
921. #542	C₂²×C₃₁	semidirect
922. #542	C₂²×C₃₁	semidirect
933. #533	C₂²×C₃₁	semidirect
937. #529	C₂²×C₃₁	semidirect
938. #501	C₂²×C₃₁	semidirect
939. #501	C₂²×C₃₁	semidirect
940. #499	C₂²×C₃₁	semidirect
941. #496	C₂²×C₃₁	semidirect
942. #496	C₂²×C₃₁	semidirect
943. #495	C₂²×C₃₁	semidirect
946. #490	C₂²×C₃₁	semidirect
947. #490	C₂²×C₃₁	semidirect
948. #490	C₂²×C₃₁	semidirect
949. #490	C₂²×C₃₁	semidirect
950. #490	C₂²×C₃₁	semidirect
951. #490	C₂²×C₃₁	semidirect
952. #489	C₂²×C₃₁	semidirect
953. #489	C₂²×C₃₁	semidirect
954. #489	C₂²×C₃₁	semidirect
955. #489	C₂²×C₃₁	semidirect
956. #488	C₂²×C₃₁	semidirect
957. #488	C₂²×C₃₁	semidirect
958. #488	C₂²×C₃₁	semidirect
959. #488	C₂²×C₃₁	semidirect
960. #486	C₂²×C₃₁	semidirect
961. #486	C₂²×C₃₁	semidirect
962. #486	C₂²×C₃₁	semidirect
963. #486	C₂²×C₃₁	semidirect
964. #486	C₂²×C₃₁	semidirect
965. #486	C₂²×C₃₁	semidirect
966. #485	C₂²×C₃₁	semidirect
967. #485	C₂²×C₃₁	semidirect
970. #482	C₂²×C₃₁	semidirect
971. #482	C₂²×C₃₁	semidirect
972. #482	C₂²×C₃₁	semidirect
973. #482	C₂²×C₃₁	semidirect
974. #481	C₂²×C₃₁	semidirect
975. #481	C₂²×C₃₁	semidirect
976. #480	C₂²×C₃₁	semidirect
977. #480	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. #478	C₂²×C₃₁	semidirect
985. #478	C₂²×C₃₁	semidirect
986. #476	C₂²×C₃₁	semidirect
987. #476	C₂²×C₃₁	semidirect
988. #474	C₂²×C₃₁	semidirect
989. #474	C₂²×C₃₁	semidirect
990. #470	C₂²×C₃₁	semidirect
992. #469	C₂²×C₃₁	semidirect
993. #469	C₂²×C₃₁	semidirect
995. #468	C₂²×C₃₁	semidirect
996. #468	C₂²×C₃₁	semidirect
997. #468	C₂²×C₃₁	semidirect
998. #466	C₂²×C₃₁	semidirect
999. #466	C₂²×C₃₁	semidirect
1000. #465	C₂²×C₃₁	semidirect
1001. #465	C₂²×C₃₁	semidirect
1002. #464	C₂²×C₃₁	semidirect
1003. #464	C₂²×C₃₁	semidirect
1004. #463	C₂²×C₃₁	semidirect
1005. #463	C₂²×C₃₁	semidirect
1007. #460	C₂²×C₃₁	semidirect
1008. #460	C₂²×C₃₁	semidirect
1009. #460	C₂²×C₃₁	semidirect
1011. #459	C₂²×C₃₁	semidirect
1012. #459	C₂²×C₃₁	semidirect
1013. #459	C₂²×C₃₁	semidirect
1014. #452	C₂²×C₃₁	semidirect
1015. #452	C₂²×C₃₁	semidirect
1016. #450	C₂²×C₃₁	semidirect
1017. #450	C₂²×C₃₁	semidirect
1018. #450	C₂²×C₃₁	semidirect
1019. #450	C₂²×C₃₁	semidirect
1020. #449	C₂²×C₃₁	semidirect
1021. #449	C₂²×C₃₁	semidirect
1022. #447	C₂²×C₃₁	semidirect
1023. #447	C₂²×C₃₁	semidirect
1024. #447	C₂²×C₃₁	semidirect
1025. #447	C₂²×C₃₁	semidirect
1026. #446	C₂²×C₃₁	semidirect
1027. #446	C₂²×C₃₁	semidirect
1028. #442	C₂²×C₃₁	semidirect
1029. #442	C₂²×C₃₁	semidirect
1030. #442	C₂²×C₃₁	semidirect
1031. #441	C₂²×C₃₁	semidirect
1032. #440	C₂²×C₃₁	semidirect
1033. #440	C₂²×C₃₁	semidirect
1034. #440	C₂²×C₃₁	semidirect
1035. #440	C₂²×C₃₁	semidirect
1036. C₄×SD₁₆	C₂²×C₃₁	semidirect
1037. C₄×SD₁₆	C₂²×C₃₁	semidirect
1038. C₄×D₈	C₂²×C₃₁	semidirect
1039. C₄×D₈	C₂²×C₃₁	semidirect
1040. #436	C₂²×C₃₁	semidirect
1041. #436	C₂²×C₃₁	semidirect
1042. #435	C₂²×C₃₁	semidirect
1043. #435	C₂²×C₃₁	semidirect
1044. #435	C₂²×C₃₁	semidirect
1045. #435	C₂²×C₃₁	semidirect
1046. #433	C₂²×C₃₁	semidirect
1047. #433	C₂²×C₃₁	semidirect
1048. #432	C₂²×C₃₁	semidirect
1049. #418	C₂²×C₃₁	semidirect
1050. #418	C₂²×C₃₁	semidirect
1051. #418	C₂²×C₃₁	semidirect
1052. #418	C₂²×C₃₁	semidirect
1053. #418	C₂²×C₃₁	semidirect
1054. #418	C₂²×C₃₁	semidirect
1055. #417	C₂²×C₃₁	semidirect
1056. #417	C₂²×C₃₁	semidirect
1057. #416	C₂²×C₃₁	semidirect
1058. #416	C₂²×C₃₁	semidirect
1059. C₂×#102	C₂²×C₃₁	semidirect
1060. C₂×#102	C₂²×C₃₁	semidirect
1061. #405	C₂²×C₃₁	semidirect
1062. #405	C₂²×C₃₁	semidirect
1063. C₄×M₁₆	C₂²×C₃₁	semidirect
1351. C₃₁	#62564	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×#3565	2
C₃₁×#3543	2
C₃₁×#3371	2
C₃₁×#3370	2
C₃₁×#3368	2
C₃₁×#3366	2
C₃₁×#3325	2
C₃₁×#3324	2
C₃₁×#3323	2
C₃₁×#3322	2
C₃₁×#3319	2
C₃₁×#3318	2
C₃₁×#3317	2
C₃₁×#3311	2
C₃₁×#3310	2
C₃₁×#3309	2
C₃₁×#3241	2
C₃₁×#3240	2
C₃₁×#3224	2
C₃₁×#3217	2
C₃₁×#3183	2
C₃₁×#3179	2
C₃₁×#3138	2
C₃₁×#3136	2
C₃₁×#2967	2
#62564	31

Subgroups — C31×#62564 #21519323

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#62564 #21519323