Subgroups — C₃₁×#61780 #21518539

Order 7936.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3542	C₂	1	1	yes	maximal, characteristic
2	C₃₁×#3495	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3357	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3353	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3352	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3351	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3349	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3348	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3346	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3343	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3333	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3324	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3323	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3323	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3317	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3314	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3311	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3310	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3243	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3241	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3201	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3200	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3196	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3193	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3126	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3098	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#3096	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#3094	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃₁×#3093	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃₁×#2978	C₂	1	1	yes	maximal, characteristic, complemented
32	C₃₁×#562	—	2	1	no	—
33	C₃₁×#560	—	2	1	no	—
34	C₃₁×#556	C₂²	1	1	yes	characteristic
35	C₃₁×#556	C₂²	1	1	yes	characteristic, complemented
36	C₃₁×#555	C₂²	1	1	yes	characteristic
37	C₃₁×#554	C₂²	1	1	yes	characteristic, complemented
38	C₃₁×#554	C₂²	1	1	yes	characteristic, complemented
39	C₃₁×#553	C₂²	1	1	yes	characteristic
40	C₃₁×#552	—	2	1	no	—
41	C₃₁×#552	—	2	1	no	—
42	C₃₁×#552	C₂²	1	1	yes	characteristic
43	C₃₁×#552	C₂²	1	1	yes	characteristic
44	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
45	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
46	C₃₁×#552	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×#550	C₂²	1	1	yes	characteristic
51	C₃₁×#547	C₂²	1	1	yes	characteristic
52	C₃₁×#546	—	2	1	no	—
53	C₃₁×#546	C₂²	1	1	yes	characteristic
54	C₃₁×#546	C₂²	1	1	yes	characteristic
55	D₄²×C₃₁	C₂²	1	1	yes	characteristic
56	C₃₁×#544	C₂²	1	1	yes	characteristic, complemented
57	C₃₁×#542	—	2	1	no	—
58	C₃₁×#542	C₂²	1	1	yes	characteristic
59	C₃₁×#541	—	2	1	no	—
60	C₃₁×#540	—	2	1	no	—
61	C₃₁×#540	C₂²	1	1	yes	characteristic
62	C₃₁×#538	—	2	1	no	—
63	C₃₁×#537	C₂²	1	1	yes	characteristic
64	C₃₁×#536	C₂²	1	1	yes	characteristic, complemented
65	C₃₁×#535	—	2	1	no	—
66	C₃₁×#535	C₂²	1	1	yes	characteristic
67	C₃₁×#534	—	2	1	no	—
68	C₃₁×#533	—	2	1	no	—
69	C₃₁×#529	—	2	1	no	—
70	C₃₁×#525	C₂²	1	1	yes	characteristic
71	C₃₁×#525	C₂²	1	1	yes	characteristic
72	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
73	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic
74	C₃₁×#520	C₂²	1	1	yes	characteristic, complemented
75	C₃₁×#519	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₃₁×#117	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×#500	C₂²	1	1	yes	characteristic, complemented
80	C₃₁×#499	C₂²	1	1	yes	characteristic, complemented
81	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
82	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
83	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
84	C₃₁×#486	C₂²	1	1	yes	characteristic, complemented
85	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
86	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
87	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
88	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
89	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
90	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
91	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
92	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
93	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
94	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
95	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
96	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
97	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
98	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
99	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
100	C₃₁×#482	C₂²	1	1	yes	characteristic
101	C₃₁×#482	C₂²	1	1	yes	characteristic
102	C₃₁×#482	C₂²	1	1	yes	characteristic
103	C₃₁×#482	C₂²	1	1	yes	characteristic
104	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
105	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
106	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
108	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
110	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
111	C₃₁×#481	C₂²	1	1	yes	characteristic
112	C₃₁×#481	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
116	C₃₁×#480	C₂²	1	1	yes	characteristic
117	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
118	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
119	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
120	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
121	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
122	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
123	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
124	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
125	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
126	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
127	C₃₁×#477	C₂²	1	1	yes	characteristic, complemented
128	C₃₁×#477	C₂²	1	1	yes	characteristic, complemented
129	C₃₁×#476	C₂²	1	1	yes	characteristic, complemented
130	C₃₁×#475	C₂²	1	1	yes	characteristic, complemented
131	C₃₁×#474	C₂²	1	1	yes	characteristic, complemented
132	C₃₁×#474	C₂²	1	1	yes	characteristic, complemented
133	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
134	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
135	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
136	C₃₁×#468	C₂²	1	1	yes	characteristic
137	C₃₁×#468	C₂²	1	1	yes	characteristic
138	C₃₁×#468	C₂²	1	1	yes	characteristic
139	C₃₁×#468	C₂²	1	1	yes	characteristic
140	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
141	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
142	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
143	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
144	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
145	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
146	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
147	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
148	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
149	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
150	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
151	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
152	C₃₁×#460	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×#452	C₂²	1	1	yes	characteristic, complemented
157	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
158	C₃₁×#450	C₂²	1	1	yes	characteristic
159	C₃₁×#450	C₂²	1	1	yes	characteristic
160	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
161	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
162	C₃₁×#448	C₂²	1	1	yes	characteristic
163	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
164	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
165	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
166	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
167	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
168	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
169	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
170	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
171	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
172	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
173	C₃₁×#436	C₂²	1	1	yes	characteristic
174	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
175	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
176	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
177	C₃₁×#435	C₂²	1	1	yes	characteristic
178	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
179	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
180	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
181	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
182	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
183	C₃₁×#428	C₂²	1	1	yes	characteristic, complemented
184	C₃₁×#428	C₂²	1	1	yes	characteristic, complemented
185	C₃₁×#428	C₂²	1	1	yes	characteristic, complemented
186	C₃₁×#428	C₂²	1	1	yes	characteristic, complemented
187	C₃₁×#428	C₂²	1	1	yes	characteristic, complemented
188	C₃₁×#428	C₂²	1	1	yes	characteristic, complemented
189	C₃₁×#427	C₂²	1	1	yes	characteristic, complemented
190	C₂×C₃₁×#107	C₂²	1	1	yes	characteristic, complemented
191	C₃₁×#418	C₂²	1	1	yes	characteristic
192	C₃₁×#418	C₂²	1	1	yes	characteristic
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×#417	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	C₃₁×#408	C₂²	1	1	yes	characteristic, complemented
200	C₃₁×#408	C₂²	1	1	yes	characteristic, complemented
201	C₃₁×#407	C₂²	1	1	yes	characteristic, complemented
202	C₃₁×#407	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	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₃₁	—	2	1	no	—
209	C₂²×D₄×C₃₁	—	2	1	no	—
210	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
213	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
214	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×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×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
222	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
223	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
224	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
225	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
226	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
227	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
228	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
229	C₃₁×C₄⋊Q₈	—	2	1	no	—
230	C₃₁×C₄⋊Q₈	—	2	1	no	—
231	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
232	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
233	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
234	C₃₁×#127	—	2	1	no	—
235	C₃₁×#127	—	2	1	no	—
236	C₃₁×#127	C₂³	1	1	yes	characteristic
237	C₃₁×#126	—	2	1	no	—
238	C₃₁×#126	—	2	1	no	—
239	C₃₁×#126	—	2	1	no	—
240	C₃₁×#126	—	2	1	no	—
241	C₃₁×#126	—	2	1	no	—
242	C₃₁×#126	—	2	1	no	—
243	C₃₁×#126	—	2	1	no	—
244	C₃₁×#126	—	2	1	no	—
245	C₃₁×#126	—	2	1	no	—
246	C₃₁×#126	—	2	1	no	—
247	C₃₁×#126	—	2	1	no	—
248	C₃₁×#125	—	2	1	no	—
249	C₃₁×#125	—	2	1	no	—
250	C₃₁×#125	—	2	1	no	—
251	C₃₁×#125	—	2	1	no	—
252	C₃₁×#125	—	2	1	no	—
253	C₃₁×#125	—	2	1	no	—
254	C₃₁×#125	—	2	1	no	—
255	C₃₁×#125	—	2	1	no	—
256	C₃₁×#125	C₂³	1	1	yes	characteristic
257	C₃₁×#125	C₂³	1	1	yes	characteristic
258	C₃₁×#125	C₂³	1	1	yes	characteristic
259	C₃₁×#124	—	2	1	no	—
260	C₃₁×#124	—	2	1	no	—
261	C₃₁×#124	—	2	1	no	—
262	C₃₁×#124	—	2	1	no	—
263	C₃₁×#124	—	2	1	no	—
264	C₃₁×#124	—	2	1	no	—
265	C₃₁×#124	—	2	1	no	—
266	C₃₁×#124	C₂³	1	1	yes	characteristic
267	C₃₁×#123	—	2	1	no	—
268	C₃₁×#123	—	2	1	no	—
269	C₃₁×#123	—	2	1	no	—
270	C₃₁×#123	—	2	1	no	—
271	C₃₁×#123	—	2	1	no	—
272	C₃₁×#123	—	2	1	no	—
273	C₃₁×#123	—	2	1	no	—
274	C₃₁×#123	—	2	1	no	—
275	C₃₁×#123	—	2	1	no	—
276	C₃₁×#123	—	2	1	no	—
277	C₃₁×#123	—	2	1	no	—
278	C₃₁×#123	—	2	1	no	—
279	C₃₁×#123	—	2	1	no	—
280	C₃₁×#123	—	2	1	no	—
281	C₃₁×#123	—	2	1	no	—
282	C₃₁×#123	—	2	1	no	—
283	C₃₁×#123	D₄	1	1	yes	characteristic
284	C₃₁×#123	D₄	1	1	yes	characteristic
285	C₃₁×C₂²⋊Q₈	—	2	1	no	—
286	C₃₁×C₂²⋊Q₈	—	2	1	no	—
287	C₃₁×C₂²⋊Q₈	—	2	1	no	—
288	C₃₁×C₂²⋊Q₈	—	2	1	no	—
289	C₃₁×C₂²⋊Q₈	—	2	1	no	—
290	C₃₁×C₂²⋊Q₈	—	2	1	no	—
291	C₃₁×C₂²⋊Q₈	—	2	1	no	—
292	C₃₁×C₂²⋊Q₈	—	2	1	no	—
293	C₃₁×C₂²⋊Q₈	—	2	1	no	—
294	C₃₁×C₂²⋊Q₈	—	2	1	no	—
295	C₃₁×C₂²⋊Q₈	—	2	1	no	—
296	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
297	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
298	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
299	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
300	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
301	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
302	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
303	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
304	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
305	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
306	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
307	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
308	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
309	C₃₁×#121	—	2	1	no	—
310	C₃₁×#121	—	2	1	no	—
311	C₃₁×#121	—	2	1	no	—
312	C₃₁×#121	—	2	1	no	—
313	C₃₁×#121	—	2	1	no	—
314	C₃₁×#121	—	2	1	no	—
315	C₃₁×#121	—	2	1	no	—
316	C₃₁×#121	—	2	1	no	—
317	C₃₁×#121	—	2	1	no	—
318	C₃₁×#121	—	2	1	no	—
319	C₃₁×#121	—	2	1	no	—
320	C₃₁×#121	—	2	1	no	—
321	C₃₁×#121	—	2	1	no	—
322	C₃₁×#121	—	2	1	no	—
323	C₃₁×#121	D₄	1	1	yes	characteristic
324	C₃₁×#121	D₄	1	1	yes	characteristic
325	C₃₁×#121	C₂³	1	1	yes	characteristic
326	C₃₁×#121	C₂³	1	1	yes	characteristic
327	C₃₁×#121	C₂³	1	1	yes	characteristic
328	C₃₁×#121	C₂³	1	1	yes	characteristic
329	C₃₁×#121	C₂³	1	1	yes	characteristic
330	C₃₁×#121	C₂³	1	1	yes	characteristic
331	C₃₁×#121	C₂³	1	1	yes	characteristic
332	C₃₁×#121	C₂³	1	1	yes	characteristic
333	C₃₁×#121	C₂³	1	1	yes	characteristic
334	C₃₁×#120	—	2	1	no	—
335	C₃₁×#120	—	2	1	no	—
336	C₃₁×#120	—	2	1	no	—
337	C₃₁×#120	—	2	1	no	—
338	C₃₁×#120	—	2	1	no	—
339	C₃₁×#120	—	2	1	no	—
340	C₃₁×#120	—	2	1	no	—
341	C₃₁×#120	D₄	1	1	yes	characteristic
342	C₃₁×#120	D₄	1	1	yes	characteristic
343	C₄×Q₈×C₃₁	—	2	1	no	—
344	C₄×Q₈×C₃₁	—	2	1	no	—
345	C₄×Q₈×C₃₁	—	2	1	no	—
346	C₄×Q₈×C₃₁	—	2	1	no	—
347	C₄×Q₈×C₃₁	—	2	1	no	—
348	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
353	C₄×D₄×C₃₁	—	2	1	no	—
354	C₄×D₄×C₃₁	—	2	1	no	—
355	C₄×D₄×C₃₁	—	2	1	no	—
356	C₄×D₄×C₃₁	—	2	1	no	—
357	C₄×D₄×C₃₁	—	2	1	no	—
358	C₄×D₄×C₃₁	—	2	1	no	—
359	C₄×D₄×C₃₁	—	2	1	no	—
360	C₄×D₄×C₃₁	—	2	1	no	—
361	C₄×D₄×C₃₁	—	2	1	no	—
362	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
363	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
364	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
369	C₃₁×#117	—	2	1	no	—
370	C₃₁×#117	—	2	1	no	—
371	C₃₁×#117	—	2	1	no	—
372	C₃₁×#117	—	2	1	no	—
373	C₃₁×#117	—	2	1	no	—
374	C₃₁×#117	—	2	1	no	—
375	C₃₁×#117	—	2	1	no	—
376	C₃₁×#117	—	2	1	no	—
377	C₃₁×#117	—	2	1	no	—
378	C₃₁×#117	—	2	1	no	—
379	C₃₁×#117	C₂³	1	1	yes	characteristic
380	C₃₁×#117	C₂³	1	1	yes	characteristic
381	C₃₁×#117	C₂³	1	1	yes	characteristic
382	C₃₁×#117	C₂³	1	1	yes	characteristic
383	C₃₁×#117	C₂³	1	1	yes	characteristic
384	C₃₁×#117	C₂³	1	1	yes	characteristic
385	C₃₁×#117	C₂³	1	1	yes	characteristic
386	C₃₁×#117	C₂³	1	1	yes	characteristic
387	C₃₁×#117	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
389	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
394	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
396	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
397	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
398	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
399	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
400	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
401	C₂×C₄²×C₃₁	—	2	1	no	—
402	C₃₁×#107	C₂³	1	1	yes	characteristic
403	C₃₁×#107	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×#107	C₂³	1	1	yes	characteristic
411	C₃₁×#107	C₂³	1	1	yes	characteristic
412	C₃₁×#107	C₂³	1	1	yes	characteristic
413	C₃₁×#107	C₂³	1	1	yes	characteristic
414	C₃₁×#107	C₂³	1	1	yes	characteristic
415	C₃₁×#107	C₂³	1	1	yes	characteristic
416	C₃₁×#106	C₂³	1	1	yes	characteristic
417	C₃₁×#106	C₂³	1	1	yes	characteristic
418	C₃₁×#106	C₂³	1	1	yes	characteristic
419	C₃₁×#106	C₂³	1	1	yes	characteristic
420	C₃₁×#106	C₂³	1	1	yes	characteristic
421	C₃₁×#106	C₂³	1	1	yes	characteristic
422	C₃₁×#106	C₂³	1	1	yes	characteristic
423	C₃₁×#106	C₂³	1	1	yes	characteristic
424	C₃₁×#106	C₂³	1	1	yes	characteristic
425	C₃₁×#106	C₂³	1	1	yes	characteristic
426	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₃₁×#103	C₂³	1	1	yes	characteristic
431	C₃₁×#103	C₂³	1	1	yes	characteristic
432	C₃₁×#103	C₂³	1	1	yes	characteristic
433	C₃₁×#103	C₂³	1	1	yes	characteristic
434	C₃₁×#103	C₂³	1	1	yes	characteristic
435	C₃₁×#103	C₂³	1	1	yes	characteristic
436	C₃₁×#103	C₂³	1	1	yes	characteristic
437	C₃₁×#103	C₂³	1	1	yes	characteristic
438	C₃₁×#103	C₂³	1	1	yes	characteristic
439	C₃₁×#103	C₂³	1	1	yes	characteristic
440	C₃₁×#103	C₂³	1	1	yes	characteristic
441	C₃₁×#103	C₂³	1	1	yes	characteristic
442	C₃₁×#103	C₂³	1	1	yes	characteristic
443	C₃₁×#103	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₃₁×C₂²⋊C₈	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×#97	C₂³	1	1	yes	characteristic
475	C₃₁×#97	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	C₂×D₄	1	1	yes	characteristic
481	#41×C₃₁	—	4	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	—	4	1	no	—
487	#41×C₃₁	—	8	2	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	—	2	1	no	—
492	C₂×Q₈×C₃₁	—	4	1	no	—
493	C₂×Q₈×C₃₁	—	4	1	no	—
494	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
495	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₃₁	—	2	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	—	4	1	no	—
514	C₂×D₄×C₃₁	—	4	1	no	—
515	C₂×D₄×C₃₁	—	4	1	no	—
516	C₂×D₄×C₃₁	—	4	1	no	—
517	C₂×D₄×C₃₁	—	8	2	no	—
518	C₂×D₄×C₃₁	—	8	2	no	—
519	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
520	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
521	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
522	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
523	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
524	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
525	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
526	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
527	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
528	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₃₁	—	2	1	no	—
530	C₂²×C₄×C₃₁	—	2	1	no	—
531	C₂²×C₄×C₃₁	—	2	1	no	—
532	C₂²×C₄×C₃₁	—	2	1	no	—
533	C₂²×C₄×C₃₁	—	2	1	no	—
534	C₂²×C₄×C₃₁	—	2	1	no	—
535	C₂²×C₄×C₃₁	—	2	1	no	—
536	C₂²×C₄×C₃₁	—	2	1	no	—
537	C₂²×C₄×C₃₁	—	2	1	no	—
538	C₂²×C₄×C₃₁	—	2	1	no	—
539	C₂²×C₄×C₃₁	—	2	1	no	—
540	C₂²×C₄×C₃₁	—	2	1	no	—
541	C₂²×C₄×C₃₁	—	2	1	no	—
542	C₂²×C₄×C₃₁	—	4	1	no	—
543	C₂²×C₄×C₃₁	—	4	1	no	—
544	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
545	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
546	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
547	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
552	Q₁₆×C₃₁	—	4	1	no	—
553	Q₁₆×C₃₁	—	4	1	no	—
554	SD₁₆×C₃₁	—	4	1	no	—
555	SD₁₆×C₃₁	—	4	1	no	—
556	SD₁₆×C₃₁	—	4	1	no	—
557	SD₁₆×C₃₁	—	4	1	no	—
558	SD₁₆×C₃₁	—	4	1	no	—
559	SD₁₆×C₃₁	—	4	1	no	—
560	M₁₆×C₃₁	—	4	1	no	—
561	M₁₆×C₃₁	—	4	1	no	—
562	M₁₆×C₃₁	—	4	1	no	—
563	M₁₆×C₃₁	—	4	1	no	—
564	M₁₆×C₃₁	—	4	1	no	—
565	M₁₆×C₃₁	—	4	1	no	—
566	C₂×C₈×C₃₁	—	4	1	no	—
567	C₂×C₈×C₃₁	—	4	1	no	—
568	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
569	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
570	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
571	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
572	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
573	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
574	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
575	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
576	C₄⋊C₄×C₃₁	—	2	1	no	—
577	C₄⋊C₄×C₃₁	—	2	1	no	—
578	C₄⋊C₄×C₃₁	—	2	1	no	—
579	C₄⋊C₄×C₃₁	—	2	1	no	—
580	C₄⋊C₄×C₃₁	—	2	1	no	—
581	C₄⋊C₄×C₃₁	—	2	1	no	—
582	C₄⋊C₄×C₃₁	—	2	1	no	—
583	C₄⋊C₄×C₃₁	—	2	1	no	—
584	C₄⋊C₄×C₃₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
610	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
615	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
616	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
620	C₄⋊C₄×C₃₁	C₂⁴	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	C₂²⋊C₄×C₃₁	—	2	1	no	—
625	C₂²⋊C₄×C₃₁	—	2	1	no	—
626	C₂²⋊C₄×C₃₁	—	2	1	no	—
627	C₂²⋊C₄×C₃₁	—	2	1	no	—
628	C₂²⋊C₄×C₃₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₃₁	—	2	1	no	—
668	C₄²×C₃₁	—	2	1	no	—
669	C₄²×C₃₁	—	2	1	no	—
670	C₄²×C₃₁	—	2	1	no	—
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	—	2	1	no	—
680	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
681	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
682	#61780	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
683	C₂³×C₃₁	—	2	1	no	—
684	C₂³×C₃₁	—	2	1	no	—
685	C₂³×C₃₁	—	2	1	no	—
686	C₂³×C₃₁	—	4	1	no	—
687	C₂³×C₃₁	—	4	1	no	—
688	C₂³×C₃₁	—	4	1	no	—
689	C₂³×C₃₁	—	4	2	no	—
690	C₂³×C₃₁	—	8	1	no	—
691	C₂³×C₃₁	—	8	1	no	—
692	C₂³×C₃₁	—	8	1	no	—
693	C₂³×C₃₁	—	8	1	no	—
694	C₂³×C₃₁	—	8	1	no	—
695	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
696	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
697	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
698	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
699	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
700	Q₈×C₃₁	—	2	1	no	—
701	Q₈×C₃₁	—	2	1	no	—
702	Q₈×C₃₁	—	2	1	no	—
703	Q₈×C₃₁	—	2	1	no	—
704	Q₈×C₃₁	—	2	1	no	—
705	Q₈×C₃₁	—	2	1	no	—
706	Q₈×C₃₁	—	4	1	no	—
707	Q₈×C₃₁	—	4	2	no	—
708	Q₈×C₃₁	—	8	1	no	—
709	Q₈×C₃₁	—	8	1	no	—
710	Q₈×C₃₁	—	8	1	no	—
711	D₄×C₃₁	—	2	1	no	—
712	D₄×C₃₁	—	2	1	no	—
713	D₄×C₃₁	—	2	1	no	—
714	D₄×C₃₁	—	2	1	no	—
715	D₄×C₃₁	—	2	1	no	—
716	D₄×C₃₁	—	2	1	no	—
717	D₄×C₃₁	—	4	1	no	—
718	D₄×C₃₁	—	4	1	no	—
719	D₄×C₃₁	—	4	1	no	—
720	D₄×C₃₁	—	4	1	no	—
721	D₄×C₃₁	—	4	1	no	—
722	D₄×C₃₁	—	4	1	no	—
723	D₄×C₃₁	—	4	1	no	—
724	D₄×C₃₁	—	4	2	no	—
725	D₄×C₃₁	—	8	1	no	—
726	D₄×C₃₁	—	8	1	no	—
727	D₄×C₃₁	—	8	1	no	—
728	D₄×C₃₁	—	8	1	no	—
729	D₄×C₃₁	—	8	1	no	—
730	D₄×C₃₁	—	8	1	no	—
731	D₄×C₃₁	—	8	1	no	—
732	D₄×C₃₁	—	8	1	no	—
733	D₄×C₃₁	—	8	1	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	C₂×C₄×C₃₁	—	2	1	no	—
740	C₂×C₄×C₃₁	—	2	1	no	—
741	C₂×C₄×C₃₁	—	2	1	no	—
742	C₂×C₄×C₃₁	—	2	1	no	—
743	C₂×C₄×C₃₁	—	2	1	no	—
744	C₂×C₄×C₃₁	—	2	1	no	—
745	C₂×C₄×C₃₁	—	2	1	no	—
746	C₂×C₄×C₃₁	—	2	1	no	—
747	C₂×C₄×C₃₁	—	2	1	no	—
748	C₂×C₄×C₃₁	—	2	1	no	—
749	C₂×C₄×C₃₁	—	2	1	no	—
750	C₂×C₄×C₃₁	—	2	1	no	—
751	C₂×C₄×C₃₁	—	2	1	no	—
752	C₂×C₄×C₃₁	—	2	1	no	—
753	C₂×C₄×C₃₁	—	2	1	no	—
754	C₂×C₄×C₃₁	—	2	1	no	—
755	C₂×C₄×C₃₁	—	2	1	no	—
756	C₂×C₄×C₃₁	—	2	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	—	4	1	no	—
763	C₂×C₄×C₃₁	—	4	1	no	—
764	C₂×C₄×C₃₁	—	4	1	no	—
765	C₂×C₄×C₃₁	—	4	2	no	—
766	C₂×C₄×C₃₁	—	4	2	no	—
767	C₂×C₄×C₃₁	—	4	2	no	—
768	C₂×C₄×C₃₁	—	8	1	no	—
769	C₂×C₄×C₃₁	—	8	1	no	—
770	C₂×C₄×C₃₁	—	8	1	no	—
771	C₂×C₄×C₃₁	—	8	1	no	—
772	C₂×C₄×C₃₁	—	8	1	no	—
773	C₂×C₄×C₃₁	—	8	1	no	—
774	C₂×C₄×C₃₁	—	8	1	no	—
775	C₂×C₄×C₃₁	—	8	1	no	—
776	C₂×C₄×C₃₁	—	8	1	no	—
777	C₂×C₄×C₃₁	—	8	1	no	—
778	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
788	C₈×C₃₁	—	2	1	no	—
789	C₈×C₃₁	—	2	1	no	—
790	C₈×C₃₁	—	2	1	no	—
791	C₈×C₃₁	—	2	1	no	—
792	C₈×C₃₁	—	2	1	no	—
793	C₈×C₃₁	—	2	1	no	—
794	C₈×C₃₁	—	2	1	no	—
795	C₈×C₃₁	—	2	1	no	—
796	#3542	C₂×C₃₁	1	1	yes	characteristic
797	#3495	C₂×C₃₁	1	1	yes	characteristic, complemented
798	#3357	C₂×C₃₁	1	1	yes	characteristic, complemented
799	#3353	C₂×C₃₁	1	1	yes	characteristic, complemented
800	#3352	C₂×C₃₁	1	1	yes	characteristic, complemented
801	#3351	C₂×C₃₁	1	1	yes	characteristic, complemented
802	#3349	C₂×C₃₁	1	1	yes	characteristic, complemented
803	#3348	C₂×C₃₁	1	1	yes	characteristic, complemented
804	#3346	C₂×C₃₁	1	1	yes	characteristic, complemented
805	#3343	C₂×C₃₁	1	1	yes	characteristic, complemented
806	#3333	C₂×C₃₁	1	1	yes	characteristic, complemented
807	#3324	C₂×C₃₁	1	1	yes	characteristic, complemented
808	#3323	C₂×C₃₁	1	1	yes	characteristic, complemented
809	#3323	C₂×C₃₁	1	1	yes	characteristic, complemented
810	#3317	C₂×C₃₁	1	1	yes	characteristic, complemented
811	#3314	C₂×C₃₁	1	1	yes	characteristic, complemented
812	#3311	C₂×C₃₁	1	1	yes	characteristic, complemented
813	#3310	C₂×C₃₁	1	1	yes	characteristic, complemented
814	#3243	C₂×C₃₁	1	1	yes	characteristic, complemented
815	#3241	C₂×C₃₁	1	1	yes	characteristic, complemented
816	#3201	C₂×C₃₁	1	1	yes	characteristic, complemented
817	#3200	C₂×C₃₁	1	1	yes	characteristic, complemented
818	#3196	C₂×C₃₁	1	1	yes	characteristic, complemented
819	#3193	C₂×C₃₁	1	1	yes	characteristic, complemented
820	#3126	C₂×C₃₁	1	1	yes	characteristic, complemented
821	#3121	C₂×C₃₁	1	1	yes	characteristic, complemented
822	#3098	C₂×C₃₁	1	1	yes	characteristic, complemented
823	#3096	C₂×C₃₁	1	1	yes	characteristic, complemented
824	#3094	C₂×C₃₁	1	1	yes	characteristic, complemented
825	#3093	C₂×C₃₁	1	1	yes	characteristic, complemented
826	#2978	C₂×C₃₁	1	1	yes	characteristic, complemented
827	C₂²×C₃₁	—	2	1	no	—
828	C₂²×C₃₁	—	2	1	no	—
829	C₂²×C₃₁	—	2	1	no	—
830	C₂²×C₃₁	—	2	1	no	—
831	C₂²×C₃₁	—	2	1	no	—
832	C₂²×C₃₁	—	2	1	no	—
833	C₂²×C₃₁	—	2	1	no	—
834	C₂²×C₃₁	—	2	1	no	—
835	C₂²×C₃₁	—	2	1	no	—
836	C₂²×C₃₁	—	2	1	no	—
837	C₂²×C₃₁	—	2	1	no	—
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	—	4	1	no	—
843	C₂²×C₃₁	—	4	1	no	—
844	C₂²×C₃₁	—	4	1	no	—
845	C₂²×C₃₁	—	4	1	no	—
846	C₂²×C₃₁	—	4	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	—	8	2	no	—
852	C₂²×C₃₁	—	16	2	no	—
853	C₂²×C₃₁	—	16	2	no	—
854	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
855	C₄×C₃₁	—	2	1	no	—
856	C₄×C₃₁	—	2	1	no	—
857	C₄×C₃₁	—	2	1	no	—
858	C₄×C₃₁	—	2	1	no	—
859	C₄×C₃₁	—	2	1	no	—
860	C₄×C₃₁	—	2	1	no	—
861	C₄×C₃₁	—	2	1	no	—
862	C₄×C₃₁	—	2	1	no	—
863	C₄×C₃₁	—	2	1	no	—
864	C₄×C₃₁	—	4	1	no	—
865	C₄×C₃₁	—	4	1	no	—
866	C₄×C₃₁	—	4	1	no	—
867	C₄×C₃₁	—	4	1	no	—
868	C₄×C₃₁	—	4	1	no	—
869	C₄×C₃₁	—	4	1	no	—
870	C₄×C₃₁	—	4	1	no	—
871	C₄×C₃₁	—	4	1	no	—
872	C₄×C₃₁	—	4	1	no	—
873	C₄×C₃₁	—	4	1	no	—
874	C₄×C₃₁	—	4	1	no	—
875	C₄×C₃₁	—	4	1	no	—
876	C₄×C₃₁	—	4	1	no	—
877	C₄×C₃₁	#585	1	1	yes	characteristic
878	C₄×C₃₁	#585	1	1	yes	characteristic
879	#562	—	2	1	no	—
880	#560	—	2	1	no	—
881	#556	C₂²×C₃₁	1	1	yes	characteristic
882	#556	C₂²×C₃₁	1	1	yes	characteristic, complemented
883	#555	C₂²×C₃₁	1	1	yes	characteristic
884	#554	C₂²×C₃₁	1	1	yes	characteristic, complemented
885	#554	C₂²×C₃₁	1	1	yes	characteristic, complemented
886	#553	C₂²×C₃₁	1	1	yes	characteristic
887	#552	—	2	1	no	—
888	#552	—	2	1	no	—
889	#552	C₂²×C₃₁	1	1	yes	characteristic
890	#552	C₂²×C₃₁	1	1	yes	characteristic
891	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
892	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
893	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
894	#551	—	2	1	no	—
895	#551	—	2	1	no	—
896	#551	—	2	1	no	—
897	#550	C₂²×C₃₁	1	1	yes	characteristic
898	#547	C₂²×C₃₁	1	1	yes	characteristic
899	#546	—	2	1	no	—
900	#546	C₂²×C₃₁	1	1	yes	characteristic
901	#546	C₂²×C₃₁	1	1	yes	characteristic
902	D₄²	C₂²×C₃₁	1	1	yes	characteristic
903	#544	C₂²×C₃₁	1	1	yes	characteristic, complemented
904	#542	—	2	1	no	—
905	#542	C₂²×C₃₁	1	1	yes	characteristic
906	#541	—	2	1	no	—
907	#540	—	2	1	no	—
908	#540	C₂²×C₃₁	1	1	yes	characteristic
909	#538	—	2	1	no	—
910	#537	C₂²×C₃₁	1	1	yes	characteristic
911	#536	C₂²×C₃₁	1	1	yes	characteristic, complemented
912	#535	—	2	1	no	—
913	#535	C₂²×C₃₁	1	1	yes	characteristic
914	#534	—	2	1	no	—
915	#533	—	2	1	no	—
916	#529	—	2	1	no	—
917	#525	C₂²×C₃₁	1	1	yes	characteristic
918	#525	C₂²×C₃₁	1	1	yes	characteristic
919	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
920	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic
921	#520	C₂²×C₃₁	1	1	yes	characteristic, complemented
922	#519	C₂²×C₃₁	1	1	yes	characteristic, complemented
923	C₂×#117	C₂²×C₃₁	1	1	yes	characteristic, complemented
924	#501	C₂²×C₃₁	1	1	yes	characteristic, complemented
925	#501	C₂²×C₃₁	1	1	yes	characteristic, complemented
926	#500	C₂²×C₃₁	1	1	yes	characteristic, complemented
927	#499	C₂²×C₃₁	1	1	yes	characteristic, complemented
928	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
929	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
930	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
931	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
932	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
933	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
934	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
935	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
936	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
937	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
938	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
939	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
940	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
941	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
942	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
943	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
944	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
945	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
946	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
947	#482	C₂²×C₃₁	1	1	yes	characteristic
948	#482	C₂²×C₃₁	1	1	yes	characteristic
949	#482	C₂²×C₃₁	1	1	yes	characteristic
950	#482	C₂²×C₃₁	1	1	yes	characteristic
951	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
952	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
953	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
954	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
955	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
956	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
957	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
958	#481	C₂²×C₃₁	1	1	yes	characteristic
959	#481	C₂²×C₃₁	1	1	yes	characteristic, complemented
960	#481	C₂²×C₃₁	1	1	yes	characteristic, complemented
961	#481	C₂²×C₃₁	1	1	yes	characteristic, complemented
962	#480	C₂²×C₃₁	1	1	yes	characteristic
963	#480	C₂²×C₃₁	1	1	yes	characteristic
964	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
965	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
966	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
967	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
968	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
969	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
970	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
971	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
972	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
973	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
974	#477	C₂²×C₃₁	1	1	yes	characteristic, complemented
975	#477	C₂²×C₃₁	1	1	yes	characteristic, complemented
976	#476	C₂²×C₃₁	1	1	yes	characteristic, complemented
977	#475	C₂²×C₃₁	1	1	yes	characteristic, complemented
978	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
979	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
980	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
981	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
982	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
983	#468	C₂²×C₃₁	1	1	yes	characteristic
984	#468	C₂²×C₃₁	1	1	yes	characteristic
985	#468	C₂²×C₃₁	1	1	yes	characteristic
986	#468	C₂²×C₃₁	1	1	yes	characteristic
987	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
988	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
989	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
990	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
991	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
992	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
993	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
995	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
996	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
997	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
998	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
999	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1000	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1001	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1002	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1003	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1004	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1005	#450	C₂²×C₃₁	1	1	yes	characteristic
1006	#450	C₂²×C₃₁	1	1	yes	characteristic
1007	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1008	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1009	#448	C₂²×C₃₁	1	1	yes	characteristic
1010	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1011	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1012	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1013	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1014	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1015	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1016	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1017	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1018	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1019	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1020	#436	C₂²×C₃₁	1	1	yes	characteristic
1021	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1022	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1023	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	#435	C₂²×C₃₁	1	1	yes	characteristic
1025	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1027	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1028	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1029	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1030	#428	C₂²×C₃₁	1	1	yes	characteristic, complemented
1031	#428	C₂²×C₃₁	1	1	yes	characteristic, complemented
1032	#428	C₂²×C₃₁	1	1	yes	characteristic, complemented
1033	#428	C₂²×C₃₁	1	1	yes	characteristic, complemented
1034	#428	C₂²×C₃₁	1	1	yes	characteristic, complemented
1035	#428	C₂²×C₃₁	1	1	yes	characteristic, complemented
1036	#427	C₂²×C₃₁	1	1	yes	characteristic, complemented
1037	C₂×#107	C₂²×C₃₁	1	1	yes	characteristic, complemented
1038	#418	C₂²×C₃₁	1	1	yes	characteristic
1039	#418	C₂²×C₃₁	1	1	yes	characteristic
1040	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1041	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1042	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1043	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1044	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1045	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1046	#408	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	#408	C₂²×C₃₁	1	1	yes	characteristic, complemented
1048	#407	C₂²×C₃₁	1	1	yes	characteristic, complemented
1049	#407	C₂²×C₃₁	1	1	yes	characteristic, complemented
1050	C₂×C₃₁	—	4	1	no	—
1051	C₂×C₃₁	—	4	1	no	—
1052	C₂×C₃₁	—	4	1	no	—
1053	C₂×C₃₁	—	4	1	no	—
1054	C₂×C₃₁	—	4	1	no	—
1055	C₂×C₃₁	—	8	1	no	—
1056	C₂×C₃₁	—	8	1	no	—
1057	C₂×C₃₁	—	8	1	no	—
1058	C₂×C₃₁	#3485	1	1	yes	characteristic
1059	C₂×C₃₁	#3585	1	1	yes	characteristic
1060	C₂×C₃₁	#3586	1	1	yes	characteristic
1061	C₂×#41	—	2	1	no	—
1062	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1063	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1064	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1065	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1066	C₂²×D₄	—	2	1	no	—
1067	C₂²×D₄	—	2	1	no	—
1068	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1069	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1070	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1071	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1072	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1073	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1074	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1075	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1076	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1077	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1078	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1079	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1080	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1081	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1082	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1083	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1084	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1085	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1086	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1087	C₄⋊Q₈	—	2	1	no	—
1088	C₄⋊Q₈	—	2	1	no	—
1089	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1090	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1091	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1092	#127	—	2	1	no	—
1093	#127	—	2	1	no	—
1094	#127	C₂³×C₃₁	1	1	yes	characteristic
1095	#126	—	2	1	no	—
1096	#126	—	2	1	no	—
1097	#126	—	2	1	no	—
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	2	1	no	—
1103	#126	—	2	1	no	—
1104	#126	—	2	1	no	—
1105	#126	—	2	1	no	—
1106	#125	—	2	1	no	—
1107	#125	—	2	1	no	—
1108	#125	—	2	1	no	—
1109	#125	—	2	1	no	—
1110	#125	—	2	1	no	—
1111	#125	—	2	1	no	—
1112	#125	—	2	1	no	—
1113	#125	—	2	1	no	—
1114	#125	C₂³×C₃₁	1	1	yes	characteristic
1115	#125	C₂³×C₃₁	1	1	yes	characteristic
1116	#125	C₂³×C₃₁	1	1	yes	characteristic
1117	#124	—	2	1	no	—
1118	#124	—	2	1	no	—
1119	#124	—	2	1	no	—
1120	#124	—	2	1	no	—
1121	#124	—	2	1	no	—
1122	#124	—	2	1	no	—
1123	#124	—	2	1	no	—
1124	#124	C₂³×C₃₁	1	1	yes	characteristic
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	D₄×C₃₁	1	1	yes	characteristic
1142	#123	D₄×C₃₁	1	1	yes	characteristic
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	2	1	no	—
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1155	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1156	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1157	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1158	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1159	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1160	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1161	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1162	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1163	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1164	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1165	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1166	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1167	#121	—	2	1	no	—
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	—	2	1	no	—
1179	#121	—	2	1	no	—
1180	#121	—	2	1	no	—
1181	#121	D₄×C₃₁	1	1	yes	characteristic
1182	#121	D₄×C₃₁	1	1	yes	characteristic
1183	#121	C₂³×C₃₁	1	1	yes	characteristic
1184	#121	C₂³×C₃₁	1	1	yes	characteristic
1185	#121	C₂³×C₃₁	1	1	yes	characteristic
1186	#121	C₂³×C₃₁	1	1	yes	characteristic
1187	#121	C₂³×C₃₁	1	1	yes	characteristic
1188	#121	C₂³×C₃₁	1	1	yes	characteristic
1189	#121	C₂³×C₃₁	1	1	yes	characteristic
1190	#121	C₂³×C₃₁	1	1	yes	characteristic
1191	#121	C₂³×C₃₁	1	1	yes	characteristic
1192	#120	—	2	1	no	—
1193	#120	—	2	1	no	—
1194	#120	—	2	1	no	—
1195	#120	—	2	1	no	—
1196	#120	—	2	1	no	—
1197	#120	—	2	1	no	—
1198	#120	—	2	1	no	—
1199	#120	D₄×C₃₁	1	1	yes	characteristic
1200	#120	D₄×C₃₁	1	1	yes	characteristic
1201	C₄×Q₈	—	2	1	no	—
1202	C₄×Q₈	—	2	1	no	—
1203	C₄×Q₈	—	2	1	no	—
1204	C₄×Q₈	—	2	1	no	—
1205	C₄×Q₈	—	2	1	no	—
1206	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1207	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1208	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1209	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1210	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	—	2	1	no	—
1219	C₄×D₄	—	2	1	no	—
1220	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1221	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1222	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1223	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1224	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1225	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1226	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1227	#117	—	2	1	no	—
1228	#117	—	2	1	no	—
1229	#117	—	2	1	no	—
1230	#117	—	2	1	no	—
1231	#117	—	2	1	no	—
1232	#117	—	2	1	no	—
1233	#117	—	2	1	no	—
1234	#117	—	2	1	no	—
1235	#117	—	2	1	no	—
1236	#117	—	2	1	no	—
1237	#117	C₂³×C₃₁	1	1	yes	characteristic
1238	#117	C₂³×C₃₁	1	1	yes	characteristic
1239	#117	C₂³×C₃₁	1	1	yes	characteristic
1240	#117	C₂³×C₃₁	1	1	yes	characteristic
1241	#117	C₂³×C₃₁	1	1	yes	characteristic
1242	#117	C₂³×C₃₁	1	1	yes	characteristic
1243	#117	C₂³×C₃₁	1	1	yes	characteristic
1244	#117	C₂³×C₃₁	1	1	yes	characteristic
1245	#117	C₂³×C₃₁	1	1	yes	characteristic
1246	C₂×C₄⋊C₄	—	2	1	no	—
1247	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1248	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1249	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1250	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1251	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1252	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1253	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1254	C₂×C₂²⋊C₄	—	2	1	no	—
1255	C₂×C₂²⋊C₄	—	2	1	no	—
1256	C₂×C₂²⋊C₄	—	2	1	no	—
1257	C₂×C₂²⋊C₄	—	2	1	no	—
1258	C₂×C₂²⋊C₄	—	2	1	no	—
1259	C₂×C₄²	—	2	1	no	—
1260	#107	C₂³×C₃₁	1	1	yes	characteristic
1261	#107	C₂³×C₃₁	1	1	yes	characteristic
1262	#107	C₂³×C₃₁	1	1	yes	characteristic
1263	#107	C₂³×C₃₁	1	1	yes	characteristic
1264	#107	C₂³×C₃₁	1	1	yes	characteristic
1265	#107	C₂³×C₃₁	1	1	yes	characteristic
1266	#107	C₂³×C₃₁	1	1	yes	characteristic
1267	#107	C₂³×C₃₁	1	1	yes	characteristic
1268	#107	C₂³×C₃₁	1	1	yes	characteristic
1269	#107	C₂³×C₃₁	1	1	yes	characteristic
1270	#107	C₂³×C₃₁	1	1	yes	characteristic
1271	#107	C₂³×C₃₁	1	1	yes	characteristic
1272	#107	C₂³×C₃₁	1	1	yes	characteristic
1273	#107	C₂³×C₃₁	1	1	yes	characteristic
1274	#106	C₂³×C₃₁	1	1	yes	characteristic
1275	#106	C₂³×C₃₁	1	1	yes	characteristic
1276	#106	C₂³×C₃₁	1	1	yes	characteristic
1277	#106	C₂³×C₃₁	1	1	yes	characteristic
1278	#106	C₂³×C₃₁	1	1	yes	characteristic
1279	#106	C₂³×C₃₁	1	1	yes	characteristic
1280	#106	C₂³×C₃₁	1	1	yes	characteristic
1281	#106	C₂³×C₃₁	1	1	yes	characteristic
1282	#106	C₂³×C₃₁	1	1	yes	characteristic
1283	#106	C₂³×C₃₁	1	1	yes	characteristic
1284	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1285	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1286	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1287	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1288	#103	C₂³×C₃₁	1	1	yes	characteristic
1289	#103	C₂³×C₃₁	1	1	yes	characteristic
1290	#103	C₂³×C₃₁	1	1	yes	characteristic
1291	#103	C₂³×C₃₁	1	1	yes	characteristic
1292	#103	C₂³×C₃₁	1	1	yes	characteristic
1293	#103	C₂³×C₃₁	1	1	yes	characteristic
1294	#103	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	#102	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	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1321	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1322	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1323	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1324	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1325	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1326	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1327	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1328	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1329	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1330	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1331	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1332	#97	C₂³×C₃₁	1	1	yes	characteristic
1333	#97	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	C₃₁	#61780	1	1	yes	characteristic, direct product factor, Sylow
1337	C₂⁴	—	2	1	no	—
1338	C₂⁴	—	2	1	no	—
1339	C₂⁴	C₂×D₄×C₃₁	1	1	yes	characteristic
1340	#41	—	4	1	no	—
1341	#41	—	4	1	no	—
1342	#41	—	4	1	no	—
1343	#41	—	4	1	no	—
1344	#41	—	4	1	no	—
1345	#41	—	4	1	no	—
1346	#41	—	8	2	no	—
1347	C₂×Q₈	—	2	1	no	—
1348	C₂×Q₈	—	2	1	no	—
1349	C₂×Q₈	—	2	1	no	—
1350	C₂×Q₈	—	2	1	no	—
1351	C₂×Q₈	—	4	1	no	—
1352	C₂×Q₈	—	4	1	no	—
1353	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1354	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1355	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1356	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	2	1	no	—
1363	C₂×D₄	—	2	1	no	—
1364	C₂×D₄	—	2	1	no	—
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
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	—	4	1	no	—
1373	C₂×D₄	—	4	1	no	—
1374	C₂×D₄	—	4	1	no	—
1375	C₂×D₄	—	4	1	no	—
1376	C₂×D₄	—	8	2	no	—
1377	C₂×D₄	—	8	2	no	—
1378	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1379	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1380	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1381	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1382	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1383	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1384	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1385	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1386	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1387	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1388	C₂²×C₄	—	2	1	no	—
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	4	1	no	—
1402	C₂²×C₄	—	4	1	no	—
1403	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1404	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1405	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1406	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1407	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1408	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1409	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1410	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1411	Q₁₆	—	4	1	no	—
1412	Q₁₆	—	4	1	no	—
1413	SD₁₆	—	4	1	no	—
1414	SD₁₆	—	4	1	no	—
1415	SD₁₆	—	4	1	no	—
1416	SD₁₆	—	4	1	no	—
1417	SD₁₆	—	4	1	no	—
1418	SD₁₆	—	4	1	no	—
1419	M₁₆	—	4	1	no	—
1420	M₁₆	—	4	1	no	—
1421	M₁₆	—	4	1	no	—
1422	M₁₆	—	4	1	no	—
1423	M₁₆	—	4	1	no	—
1424	M₁₆	—	4	1	no	—
1425	C₂×C₈	—	4	1	no	—
1426	C₂×C₈	—	4	1	no	—
1427	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1428	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1429	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1430	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1431	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1432	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1433	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1434	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₃₁	1	1	yes	characteristic
1468	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1469	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1470	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1471	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1472	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1473	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1474	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1475	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1476	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1477	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1478	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1479	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1480	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1481	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1482	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	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	C₂×D₄×C₃₁	1	1	yes	characteristic
1517	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1524	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1525	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	2	1	no	—
1530	C₄²	—	2	1	no	—
1531	C₄²	—	2	1	no	—
1532	C₄²	—	2	1	no	—
1533	C₄²	—	2	1	no	—
1534	C₄²	—	2	1	no	—
1535	C₄²	—	2	1	no	—
1536	C₄²	—	2	1	no	—
1537	C₄²	—	2	1	no	—
1538	C₄²	—	2	1	no	—
1539	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1540	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1541	C₂³	—	2	1	no	—
1542	C₂³	—	2	1	no	—
1543	C₂³	—	2	1	no	—
1544	C₂³	—	4	1	no	—
1545	C₂³	—	4	1	no	—
1546	C₂³	—	4	1	no	—
1547	C₂³	—	4	2	no	—
1548	C₂³	—	8	1	no	—
1549	C₂³	—	8	1	no	—
1550	C₂³	—	8	1	no	—
1551	C₂³	—	8	1	no	—
1552	C₂³	—	8	1	no	—
1553	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1554	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1555	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1556	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1557	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1558	Q₈	—	2	1	no	—
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	2	1	no	—
1563	Q₈	—	2	1	no	—
1564	Q₈	—	4	1	no	—
1565	Q₈	—	4	2	no	—
1566	Q₈	—	8	1	no	—
1567	Q₈	—	8	1	no	—
1568	Q₈	—	8	1	no	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	2	1	no	—
1573	D₄	—	2	1	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	4	1	no	—
1576	D₄	—	4	1	no	—
1577	D₄	—	4	1	no	—
1578	D₄	—	4	1	no	—
1579	D₄	—	4	1	no	—
1580	D₄	—	4	1	no	—
1581	D₄	—	4	1	no	—
1582	D₄	—	4	2	no	—
1583	D₄	—	8	1	no	—
1584	D₄	—	8	1	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	8	1	no	—
1589	D₄	—	8	1	no	—
1590	D₄	—	8	1	no	—
1591	D₄	—	8	1	no	—
1592	D₄	—	8	1	no	—
1593	D₄	—	8	1	no	—
1594	D₄	—	8	1	no	—
1595	D₄	—	8	1	no	—
1596	D₄	—	8	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	4	1	no	—
1621	C₂×C₄	—	4	1	no	—
1622	C₂×C₄	—	4	1	no	—
1623	C₂×C₄	—	4	2	no	—
1624	C₂×C₄	—	4	2	no	—
1625	C₂×C₄	—	4	2	no	—
1626	C₂×C₄	—	8	1	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	—	8	1	no	—
1631	C₂×C₄	—	8	1	no	—
1632	C₂×C₄	—	8	1	no	—
1633	C₂×C₄	—	8	1	no	—
1634	C₂×C₄	—	8	1	no	—
1635	C₂×C₄	—	8	1	no	—
1636	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1637	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1638	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1639	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1640	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1641	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1642	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1643	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1644	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1645	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₈	—	2	1	no	—
1651	C₈	—	2	1	no	—
1652	C₈	—	2	1	no	—
1653	C₈	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	2	1	no	—
1662	C₂²	—	2	1	no	—
1663	C₂²	—	2	1	no	—
1664	C₂²	—	2	1	no	—
1665	C₂²	—	2	1	no	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	4	1	no	—
1675	C₂²	—	4	1	no	—
1676	C₂²	—	4	1	no	—
1677	C₂²	—	4	1	no	—
1678	C₂²	—	8	2	no	—
1679	C₂²	—	16	2	no	—
1680	C₂²	—	16	2	no	—
1681	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	1	no	—
1690	C₄	—	2	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	—	4	1	no	—
1700	C₄	—	4	1	no	—
1701	C₄	—	4	1	no	—
1702	C₄	—	4	1	no	—
1703	C₄	—	4	1	no	—
1704	C₄	C₃₁×#585	1	1	yes	characteristic
1705	C₄	C₃₁×#585	1	1	yes	characteristic
1706	C₂	—	4	1	no	—
1707	C₂	—	4	1	no	—
1708	C₂	—	4	1	no	—
1709	C₂	—	4	1	no	—
1710	C₂	—	4	1	no	—
1711	C₂	—	8	1	no	—
1712	C₂	—	8	1	no	—
1713	C₂	—	8	1	no	—
1714	C₂	C₃₁×#3485	1	1	yes	characteristic
1715	C₂	C₃₁×#3585	1	1	yes	characteristic
1716	C₂	C₃₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃₁
prime radical	C₃₁×#3542	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₁ ◁ C₃₁×#525 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₃₁×#3495	C₂	semidirect
3. C₃₁×#3357	C₂	semidirect
4. C₃₁×#3353	C₂	semidirect
5. C₃₁×#3352	C₂	semidirect
6. C₃₁×#3351	C₂	semidirect
7. C₃₁×#3349	C₂	semidirect
8. C₃₁×#3348	C₂	semidirect
9. C₃₁×#3346	C₂	semidirect
10. C₃₁×#3343	C₂	semidirect
11. C₃₁×#3333	C₂	semidirect
12. C₃₁×#3324	C₂	semidirect
13. C₃₁×#3323	C₂	semidirect
14. C₃₁×#3323	C₂	semidirect
15. C₃₁×#3317	C₂	semidirect
16. C₃₁×#3314	C₂	semidirect
17. C₃₁×#3311	C₂	semidirect
18. C₃₁×#3310	C₂	semidirect
19. C₃₁×#3243	C₂	semidirect
20. C₃₁×#3241	C₂	semidirect
21. C₃₁×#3201	C₂	semidirect
22. C₃₁×#3200	C₂	semidirect
23. C₃₁×#3196	C₂	semidirect
24. C₃₁×#3193	C₂	semidirect
25. C₃₁×#3126	C₂	semidirect
26. C₃₁×#3121	C₂	semidirect
27. C₃₁×#3098	C₂	semidirect
28. C₃₁×#3096	C₂	semidirect
29. C₃₁×#3094	C₂	semidirect
30. C₃₁×#3093	C₂	semidirect
31. C₃₁×#2978	C₂	semidirect
35. C₃₁×#556	C₂²	semidirect
37. C₃₁×#554	C₂²	semidirect
38. C₃₁×#554	C₂²	semidirect
44. C₃₁×#552	C₂²	semidirect
45. C₃₁×#552	C₂²	semidirect
46. C₃₁×#552	C₂²	semidirect
56. C₃₁×#544	C₂²	semidirect
64. C₃₁×#536	C₂²	semidirect
72. C₂×C₃₁×C₂²⋊Q₈	C₂²	semidirect
74. C₃₁×#520	C₂²	semidirect
75. C₃₁×#519	C₂²	semidirect
76. C₂×C₃₁×#117	C₂²	semidirect
77. C₃₁×#501	C₂²	semidirect
78. C₃₁×#501	C₂²	semidirect
79. C₃₁×#500	C₂²	semidirect
80. C₃₁×#499	C₂²	semidirect
81. C₃₁×#490	C₂²	semidirect
82. C₃₁×#489	C₂²	semidirect
83. C₃₁×#488	C₂²	semidirect
84. C₃₁×#486	C₂²	semidirect
85. C₃₁×#485	C₂²	semidirect
86. C₃₁×#485	C₂²	semidirect
87. C₃₁×#485	C₂²	semidirect
88. C₃₁×#485	C₂²	semidirect
89. C₃₁×#485	C₂²	semidirect
90. C₃₁×#485	C₂²	semidirect
91. C₃₁×#485	C₂²	semidirect
92. C₃₁×#485	C₂²	semidirect
93. C₃₁×#485	C₂²	semidirect
94. C₃₁×#484	C₂²	semidirect
95. C₃₁×#484	C₂²	semidirect
96. C₃₁×#484	C₂²	semidirect
97. C₃₁×#484	C₂²	semidirect
98. C₃₁×#484	C₂²	semidirect
99. C₃₁×#483	C₂²	semidirect
104. C₃₁×#482	C₂²	semidirect
105. C₃₁×#482	C₂²	semidirect
106. C₃₁×#482	C₂²	semidirect
107. C₃₁×#482	C₂²	semidirect
108. C₃₁×#482	C₂²	semidirect
109. C₃₁×#482	C₂²	semidirect
110. C₃₁×#482	C₂²	semidirect
112. C₃₁×#481	C₂²	semidirect
113. C₃₁×#481	C₂²	semidirect
114. C₃₁×#481	C₂²	semidirect
117. C₃₁×#480	C₂²	semidirect
118. C₃₁×#480	C₂²	semidirect
119. C₃₁×#480	C₂²	semidirect
120. C₃₁×#480	C₂²	semidirect
121. C₃₁×#479	C₂²	semidirect
122. C₃₁×#479	C₂²	semidirect
123. C₃₁×#479	C₂²	semidirect
124. C₃₁×#478	C₂²	semidirect
125. C₃₁×#478	C₂²	semidirect
126. C₃₁×#478	C₂²	semidirect
127. C₃₁×#477	C₂²	semidirect
128. C₃₁×#477	C₂²	semidirect
129. C₃₁×#476	C₂²	semidirect
130. C₃₁×#475	C₂²	semidirect
131. C₃₁×#474	C₂²	semidirect
132. C₃₁×#474	C₂²	semidirect
133. C₃₁×#470	C₂²	semidirect
134. C₃₁×#470	C₂²	semidirect
135. C₃₁×#470	C₂²	semidirect
140. C₃₁×#468	C₂²	semidirect
141. C₃₁×#468	C₂²	semidirect
142. C₃₁×#468	C₂²	semidirect
143. C₃₁×#468	C₂²	semidirect
144. C₃₁×#468	C₂²	semidirect
145. C₃₁×#467	C₂²	semidirect
146. C₃₁×#465	C₂²	semidirect
147. C₃₁×#465	C₂²	semidirect
148. C₃₁×#465	C₂²	semidirect
149. C₃₁×#464	C₂²	semidirect
150. C₃₁×#464	C₂²	semidirect
151. C₃₁×#460	C₂²	semidirect
152. C₃₁×#460	C₂²	semidirect
153. C₃₁×#452	C₂²	semidirect
154. C₃₁×#452	C₂²	semidirect
155. C₃₁×#452	C₂²	semidirect
156. C₃₁×#452	C₂²	semidirect
157. C₃₁×#451	C₂²	semidirect
160. C₃₁×#450	C₂²	semidirect
161. C₃₁×#450	C₂²	semidirect
163. C₃₁×#448	C₂²	semidirect
164. C₃₁×#448	C₂²	semidirect
165. C₃₁×#441	C₂²	semidirect
166. C₃₁×#440	C₂²	semidirect
167. C₃₁×#440	C₂²	semidirect
168. C₃₁×#440	C₂²	semidirect
169. C₄×Q₁₆×C₃₁	C₂²	semidirect
170. C₄×SD₁₆×C₃₁	C₂²	semidirect
171. C₄×SD₁₆×C₃₁	C₂²	semidirect
172. C₄×SD₁₆×C₃₁	C₂²	semidirect
174. C₃₁×#436	C₂²	semidirect
175. C₃₁×#436	C₂²	semidirect
176. C₃₁×#436	C₂²	semidirect
178. C₃₁×#435	C₂²	semidirect
179. C₃₁×#435	C₂²	semidirect
180. C₃₁×#435	C₂²	semidirect
181. C₃₁×#433	C₂²	semidirect
182. C₃₁×#433	C₂²	semidirect
183. C₃₁×#428	C₂²	semidirect
184. C₃₁×#428	C₂²	semidirect
185. C₃₁×#428	C₂²	semidirect
186. C₃₁×#428	C₂²	semidirect
187. C₃₁×#428	C₂²	semidirect
188. C₃₁×#428	C₂²	semidirect
189. C₃₁×#427	C₂²	semidirect
190. C₂×C₃₁×#107	C₂²	semidirect
193. C₃₁×#418	C₂²	semidirect
194. C₃₁×#417	C₂²	semidirect
195. C₃₁×#417	C₂²	semidirect
196. C₃₁×#417	C₂²	semidirect
197. C₃₁×#416	C₂²	semidirect
198. C₂×C₃₁×#102	C₂²	semidirect
199. C₃₁×#408	C₂²	semidirect
200. C₃₁×#408	C₂²	semidirect
201. C₃₁×#407	C₂²	semidirect
202. C₃₁×#407	C₂²	semidirect
682. #61780	C₃₁	direct (N × H)
797. #3495	C₂×C₃₁	semidirect
798. #3357	C₂×C₃₁	semidirect
799. #3353	C₂×C₃₁	semidirect
800. #3352	C₂×C₃₁	semidirect
801. #3351	C₂×C₃₁	semidirect
802. #3349	C₂×C₃₁	semidirect
803. #3348	C₂×C₃₁	semidirect
804. #3346	C₂×C₃₁	semidirect
805. #3343	C₂×C₃₁	semidirect
806. #3333	C₂×C₃₁	semidirect
807. #3324	C₂×C₃₁	semidirect
808. #3323	C₂×C₃₁	semidirect
809. #3323	C₂×C₃₁	semidirect
810. #3317	C₂×C₃₁	semidirect
811. #3314	C₂×C₃₁	semidirect
812. #3311	C₂×C₃₁	semidirect
813. #3310	C₂×C₃₁	semidirect
814. #3243	C₂×C₃₁	semidirect
815. #3241	C₂×C₃₁	semidirect
816. #3201	C₂×C₃₁	semidirect
817. #3200	C₂×C₃₁	semidirect
818. #3196	C₂×C₃₁	semidirect
819. #3193	C₂×C₃₁	semidirect
820. #3126	C₂×C₃₁	semidirect
821. #3121	C₂×C₃₁	semidirect
822. #3098	C₂×C₃₁	semidirect
823. #3096	C₂×C₃₁	semidirect
824. #3094	C₂×C₃₁	semidirect
825. #3093	C₂×C₃₁	semidirect
826. #2978	C₂×C₃₁	semidirect
882. #556	C₂²×C₃₁	semidirect
884. #554	C₂²×C₃₁	semidirect
885. #554	C₂²×C₃₁	semidirect
891. #552	C₂²×C₃₁	semidirect
892. #552	C₂²×C₃₁	semidirect
893. #552	C₂²×C₃₁	semidirect
903. #544	C₂²×C₃₁	semidirect
911. #536	C₂²×C₃₁	semidirect
919. C₂×C₂²⋊Q₈	C₂²×C₃₁	semidirect
921. #520	C₂²×C₃₁	semidirect
922. #519	C₂²×C₃₁	semidirect
923. C₂×#117	C₂²×C₃₁	semidirect
924. #501	C₂²×C₃₁	semidirect
925. #501	C₂²×C₃₁	semidirect
926. #500	C₂²×C₃₁	semidirect
927. #499	C₂²×C₃₁	semidirect
928. #490	C₂²×C₃₁	semidirect
929. #489	C₂²×C₃₁	semidirect
930. #488	C₂²×C₃₁	semidirect
931. #486	C₂²×C₃₁	semidirect
932. #485	C₂²×C₃₁	semidirect
933. #485	C₂²×C₃₁	semidirect
934. #485	C₂²×C₃₁	semidirect
935. #485	C₂²×C₃₁	semidirect
936. #485	C₂²×C₃₁	semidirect
937. #485	C₂²×C₃₁	semidirect
938. #485	C₂²×C₃₁	semidirect
939. #485	C₂²×C₃₁	semidirect
940. #485	C₂²×C₃₁	semidirect
941. #484	C₂²×C₃₁	semidirect
942. #484	C₂²×C₃₁	semidirect
943. #484	C₂²×C₃₁	semidirect
944. #484	C₂²×C₃₁	semidirect
945. #484	C₂²×C₃₁	semidirect
946. #483	C₂²×C₃₁	semidirect
951. #482	C₂²×C₃₁	semidirect
952. #482	C₂²×C₃₁	semidirect
953. #482	C₂²×C₃₁	semidirect
954. #482	C₂²×C₃₁	semidirect
955. #482	C₂²×C₃₁	semidirect
956. #482	C₂²×C₃₁	semidirect
957. #482	C₂²×C₃₁	semidirect
959. #481	C₂²×C₃₁	semidirect
960. #481	C₂²×C₃₁	semidirect
961. #481	C₂²×C₃₁	semidirect
964. #480	C₂²×C₃₁	semidirect
965. #480	C₂²×C₃₁	semidirect
966. #480	C₂²×C₃₁	semidirect
967. #480	C₂²×C₃₁	semidirect
968. #479	C₂²×C₃₁	semidirect
969. #479	C₂²×C₃₁	semidirect
970. #479	C₂²×C₃₁	semidirect
971. #478	C₂²×C₃₁	semidirect
972. #478	C₂²×C₃₁	semidirect
973. #478	C₂²×C₃₁	semidirect
974. #477	C₂²×C₃₁	semidirect
975. #477	C₂²×C₃₁	semidirect
976. #476	C₂²×C₃₁	semidirect
977. #475	C₂²×C₃₁	semidirect
978. #474	C₂²×C₃₁	semidirect
979. #474	C₂²×C₃₁	semidirect
980. #470	C₂²×C₃₁	semidirect
981. #470	C₂²×C₃₁	semidirect
982. #470	C₂²×C₃₁	semidirect
987. #468	C₂²×C₃₁	semidirect
988. #468	C₂²×C₃₁	semidirect
989. #468	C₂²×C₃₁	semidirect
990. #468	C₂²×C₃₁	semidirect
991. #468	C₂²×C₃₁	semidirect
992. #467	C₂²×C₃₁	semidirect
993. #465	C₂²×C₃₁	semidirect
994. #465	C₂²×C₃₁	semidirect
995. #465	C₂²×C₃₁	semidirect
996. #464	C₂²×C₃₁	semidirect
997. #464	C₂²×C₃₁	semidirect
998. #460	C₂²×C₃₁	semidirect
999. #460	C₂²×C₃₁	semidirect
1000. #452	C₂²×C₃₁	semidirect
1001. #452	C₂²×C₃₁	semidirect
1002. #452	C₂²×C₃₁	semidirect
1003. #452	C₂²×C₃₁	semidirect
1004. #451	C₂²×C₃₁	semidirect
1007. #450	C₂²×C₃₁	semidirect
1008. #450	C₂²×C₃₁	semidirect
1010. #448	C₂²×C₃₁	semidirect
1011. #448	C₂²×C₃₁	semidirect
1012. #441	C₂²×C₃₁	semidirect
1013. #440	C₂²×C₃₁	semidirect
1014. #440	C₂²×C₃₁	semidirect
1015. #440	C₂²×C₃₁	semidirect
1016. C₄×Q₁₆	C₂²×C₃₁	semidirect
1017. C₄×SD₁₆	C₂²×C₃₁	semidirect
1018. C₄×SD₁₆	C₂²×C₃₁	semidirect
1019. C₄×SD₁₆	C₂²×C₃₁	semidirect
1021. #436	C₂²×C₃₁	semidirect
1022. #436	C₂²×C₃₁	semidirect
1023. #436	C₂²×C₃₁	semidirect
1025. #435	C₂²×C₃₁	semidirect
1026. #435	C₂²×C₃₁	semidirect
1027. #435	C₂²×C₃₁	semidirect
1028. #433	C₂²×C₃₁	semidirect
1029. #433	C₂²×C₃₁	semidirect
1030. #428	C₂²×C₃₁	semidirect
1031. #428	C₂²×C₃₁	semidirect
1032. #428	C₂²×C₃₁	semidirect
1033. #428	C₂²×C₃₁	semidirect
1034. #428	C₂²×C₃₁	semidirect
1035. #428	C₂²×C₃₁	semidirect
1036. #427	C₂²×C₃₁	semidirect
1037. C₂×#107	C₂²×C₃₁	semidirect
1040. #418	C₂²×C₃₁	semidirect
1041. #417	C₂²×C₃₁	semidirect
1042. #417	C₂²×C₃₁	semidirect
1043. #417	C₂²×C₃₁	semidirect
1044. #416	C₂²×C₃₁	semidirect
1045. C₂×#102	C₂²×C₃₁	semidirect
1046. #408	C₂²×C₃₁	semidirect
1047. #408	C₂²×C₃₁	semidirect
1048. #407	C₂²×C₃₁	semidirect
1049. #407	C₂²×C₃₁	semidirect
1336. C₃₁	#61780	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×#3542	2
C₃₁×#3495	2
C₃₁×#3357	2
C₃₁×#3353	2
C₃₁×#3352	2
C₃₁×#3351	2
C₃₁×#3349	2
C₃₁×#3348	2
C₃₁×#3346	2
C₃₁×#3343	2
C₃₁×#3333	2
C₃₁×#3324	2
C₃₁×#3323	2
C₃₁×#3317	2
C₃₁×#3314	2
C₃₁×#3311	2
C₃₁×#3310	2
C₃₁×#3243	2
C₃₁×#3241	2
C₃₁×#3201	2
C₃₁×#3200	2
C₃₁×#3196	2
C₃₁×#3193	2
C₃₁×#3126	2
C₃₁×#3121	2
C₃₁×#3098	2
C₃₁×#3096	2
C₃₁×#3094	2
C₃₁×#3093	2
C₃₁×#2978	2
#61780	31

Subgroups — C31×#61780 #21518539

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61780 #21518539