Subgroups — C₃₁×#61458 #21518217

Order 7936.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3482	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3480	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3401	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3390	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3371	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3349	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3345	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3337	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3320	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3317	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3313	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3308	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3301	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3300	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3285	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3271	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3270	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3183	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3181	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3180	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3117	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3117	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3116	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3112	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3111	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3111	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#2970	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₃₁×#137	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃₁×#2943	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₃₁×#441	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic
33	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic
34	C₂²×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
35	C₃₁×#559	—	2	1	no	—
36	C₃₁×#559	C₂²	1	1	yes	characteristic
37	C₃₁×#557	C₂²	1	1	yes	characteristic
38	C₃₁×#557	C₂²	1	1	yes	characteristic
39	C₃₁×#556	—	2	1	no	—
40	C₃₁×#556	—	2	1	no	—
41	C₃₁×#556	C₂²	1	1	yes	characteristic
42	C₃₁×#556	C₂²	1	1	yes	characteristic
43	C₃₁×#553	—	2	1	no	—
44	C₃₁×#553	—	2	1	no	—
45	C₃₁×#553	C₂²	1	1	yes	characteristic
46	C₃₁×#553	C₂²	1	1	yes	characteristic
47	C₃₁×#552	—	2	1	no	—
48	C₃₁×#552	—	2	1	no	—
49	C₃₁×#552	C₂²	1	1	yes	characteristic
50	C₃₁×#552	C₂²	1	1	yes	characteristic
51	C₃₁×#550	C₂²	1	1	yes	characteristic
52	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
53	C₃₁×#548	C₂²	1	1	yes	characteristic
54	C₃₁×#548	C₂²	1	1	yes	characteristic
55	C₃₁×#548	C₂²	1	1	yes	characteristic
56	C₃₁×#548	C₂²	1	1	yes	characteristic
57	C₃₁×#547	—	2	1	no	—
58	C₃₁×#547	C₂²	1	1	yes	characteristic
59	C₃₁×#533	—	2	1	no	—
60	C₃₁×#533	C₂²	1	1	yes	characteristic
61	C₃₁×#532	—	2	1	no	—
62	C₃₁×#532	C₂²	1	1	yes	characteristic
63	C₃₁×#529	—	2	1	no	—
64	C₃₁×#529	—	2	1	no	—
65	C₃₁×#529	—	2	1	no	—
66	C₃₁×#529	—	2	1	no	—
67	C₃₁×#529	C₂²	1	1	yes	characteristic
68	C₃₁×#529	C₂²	1	1	yes	characteristic
69	C₃₁×#529	C₂²	1	1	yes	characteristic
70	C₃₁×#529	C₂²	1	1	yes	characteristic
71	C₄×#41×C₃₁	—	2	1	no	—
72	C₄×#41×C₃₁	—	2	1	no	—
73	C₄×#41×C₃₁	C₂²	1	1	yes	characteristic
74	C₄×#41×C₃₁	C₂²	1	1	yes	characteristic
75	C₄×#41×C₃₁	C₂²	1	1	yes	characteristic
76	C₄×#41×C₃₁	C₂²	1	1	yes	characteristic
77	C₂×C₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
78	C₂×C₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
79	C₂×C₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
80	C₃₁×#501	C₂²	1	1	yes	characteristic
81	C₃₁×#501	C₂²	1	1	yes	characteristic
82	C₃₁×#499	C₂²	1	1	yes	characteristic
83	C₃₁×#497	C₂²	1	1	yes	characteristic
84	C₃₁×#496	C₂²	1	1	yes	characteristic
85	C₃₁×#495	C₂²	1	1	yes	characteristic
86	C₃₁×#491	C₂²	1	1	yes	characteristic
87	C₃₁×#490	C₂²	1	1	yes	characteristic
88	C₃₁×#489	C₂²	1	1	yes	characteristic
89	C₃₁×#489	C₂²	1	1	yes	characteristic
90	C₃₁×#488	C₂²	1	1	yes	characteristic
91	C₃₁×#488	C₂²	1	1	yes	characteristic
92	C₃₁×#485	C₂²	1	1	yes	characteristic
93	C₃₁×#485	C₂²	1	1	yes	characteristic
94	C₃₁×#485	C₂²	1	1	yes	characteristic
95	C₃₁×#485	C₂²	1	1	yes	characteristic
96	C₃₁×#484	C₂²	1	1	yes	characteristic
97	C₃₁×#484	C₂²	1	1	yes	characteristic
98	C₃₁×#482	C₂²	1	1	yes	characteristic
99	C₃₁×#482	C₂²	1	1	yes	characteristic
100	C₃₁×#481	C₂²	1	1	yes	characteristic
101	C₃₁×#481	C₂²	1	1	yes	characteristic
102	C₃₁×#480	C₂²	1	1	yes	characteristic
103	C₃₁×#480	C₂²	1	1	yes	characteristic
104	C₃₁×#479	C₂²	1	1	yes	characteristic
105	C₃₁×#479	C₂²	1	1	yes	characteristic
106	C₃₁×#479	C₂²	1	1	yes	characteristic
107	C₃₁×#479	C₂²	1	1	yes	characteristic
108	C₃₁×#479	C₂²	1	1	yes	characteristic
109	C₃₁×#479	C₂²	1	1	yes	characteristic
110	C₃₁×#478	C₂²	1	1	yes	characteristic
111	C₃₁×#478	C₂²	1	1	yes	characteristic
112	C₃₁×#477	C₂²	1	1	yes	characteristic
113	C₃₁×#477	C₂²	1	1	yes	characteristic
114	C₃₁×#477	C₂²	1	1	yes	characteristic
115	C₃₁×#476	C₂²	1	1	yes	characteristic
116	C₃₁×#470	C₂²	1	1	yes	characteristic
117	C₃₁×#469	C₂²	1	1	yes	characteristic
118	C₃₁×#468	C₂²	1	1	yes	characteristic
119	C₃₁×#468	C₂²	1	1	yes	characteristic
120	C₃₁×#467	C₂²	1	1	yes	characteristic
121	C₃₁×#467	C₂²	1	1	yes	characteristic
122	C₃₁×#466	C₂²	1	1	yes	characteristic
123	C₃₁×#466	C₂²	1	1	yes	characteristic
124	C₃₁×#465	C₂²	1	1	yes	characteristic
125	C₃₁×#465	C₂²	1	1	yes	characteristic
126	C₃₁×#465	C₂²	1	1	yes	characteristic
127	C₃₁×#465	C₂²	1	1	yes	characteristic
128	C₃₁×#464	C₂²	1	1	yes	characteristic
129	C₃₁×#464	C₂²	1	1	yes	characteristic
130	C₃₁×#464	C₂²	1	1	yes	characteristic
131	C₃₁×#464	C₂²	1	1	yes	characteristic
132	C₃₁×#464	C₂²	1	1	yes	characteristic
133	C₃₁×#464	C₂²	1	1	yes	characteristic
134	C₃₁×#463	C₂²	1	1	yes	characteristic
135	C₃₁×#463	C₂²	1	1	yes	characteristic
136	C₃₁×#462	C₂²	1	1	yes	characteristic
137	C₃₁×#461	C₂²	1	1	yes	characteristic
138	C₃₁×#460	C₂²	1	1	yes	characteristic
139	C₃₁×#460	C₂²	1	1	yes	characteristic
140	C₃₁×#452	C₂²	1	1	yes	characteristic
141	C₃₁×#452	C₂²	1	1	yes	characteristic
142	C₃₁×#452	C₂²	1	1	yes	characteristic
143	C₃₁×#452	C₂²	1	1	yes	characteristic
144	C₃₁×#451	C₂²	1	1	yes	characteristic
145	C₃₁×#451	C₂²	1	1	yes	characteristic
146	C₃₁×#449	C₂²	1	1	yes	characteristic
147	C₃₁×#449	C₂²	1	1	yes	characteristic
148	C₃₁×#448	C₂²	1	1	yes	characteristic
149	C₃₁×#448	C₂²	1	1	yes	characteristic
150	C₃₁×#448	C₂²	1	1	yes	characteristic
151	C₃₁×#448	C₂²	1	1	yes	characteristic
152	C₃₁×#446	C₂²	1	1	yes	characteristic
153	C₃₁×#446	C₂²	1	1	yes	characteristic
154	C₃₁×#442	C₂²	1	1	yes	characteristic
155	C₃₁×#442	C₂²	1	1	yes	characteristic
156	C₃₁×#442	C₂²	1	1	yes	characteristic
157	C₃₁×#441	C₂²	1	1	yes	characteristic
158	C₃₁×#441	C₂²	1	1	yes	characteristic
159	C₃₁×#441	C₂²	1	1	yes	characteristic
160	C₃₁×#441	C₂²	1	1	yes	characteristic
161	C₃₁×#441	C₂²	1	1	yes	characteristic
162	C₃₁×#441	C₂²	1	1	yes	characteristic
163	C₃₁×#441	C₂²	1	1	yes	characteristic
164	C₃₁×#441	C₂²	1	1	yes	characteristic
165	C₃₁×#441	C₂²	1	1	yes	characteristic
166	C₃₁×#441	C₂²	1	1	yes	characteristic
167	C₃₁×#441	C₂²	1	1	yes	characteristic
168	C₃₁×#440	C₂²	1	1	yes	characteristic
169	C₃₁×#440	C₂²	1	1	yes	characteristic
170	C₃₁×#440	C₂²	1	1	yes	characteristic
171	C₃₁×#440	C₂²	1	1	yes	characteristic
172	C₃₁×#440	C₂²	1	1	yes	characteristic
173	C₃₁×#440	C₂²	1	1	yes	characteristic
174	C₃₁×#440	C₂²	1	1	yes	characteristic
175	C₃₁×#440	C₂²	1	1	yes	characteristic
176	C₃₁×#440	C₂²	1	1	yes	characteristic
177	C₃₁×#440	C₂²	1	1	yes	characteristic
178	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
179	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
180	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
181	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
182	C₃₁×#435	C₂²	1	1	yes	characteristic
183	C₃₁×#435	C₂²	1	1	yes	characteristic
184	C₃₁×#435	C₂²	1	1	yes	characteristic
185	C₃₁×#435	C₂²	1	1	yes	characteristic
186	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic
187	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic
188	C₃₁×#432	C₂²	1	1	yes	characteristic
189	C₃₁×#432	C₂²	1	1	yes	characteristic
190	C₃₁×#432	C₂²	1	1	yes	characteristic
191	C₃₁×#428	C₂²	1	1	yes	characteristic
192	C₃₁×#427	C₂²	1	1	yes	characteristic
193	C₂×C₃₁×#106	C₂²	1	1	yes	characteristic
194	C₃₁×#419	C₂²	1	1	yes	characteristic
195	C₃₁×#417	C₂²	1	1	yes	characteristic
196	C₃₁×#416	C₂²	1	1	yes	characteristic
197	C₃₁×#416	C₂²	1	1	yes	characteristic
198	C₂×C₃₁×#103	C₂²	1	1	yes	characteristic
199	C₂×C₃₁×#103	C₂²	1	1	yes	characteristic
200	C₄×M₁₆×C₃₁	C₂²	1	1	yes	characteristic
201	C₂×C₃₁×#97	C₂²	1	1	yes	characteristic
202	C₂×C₃₁×#97	C₂²	1	1	yes	characteristic
203	C₂×#41×C₃₁	—	2	1	no	—
204	C₂×#41×C₃₁	—	2	1	no	—
205	C₂×#41×C₃₁	D₄	1	1	yes	characteristic
206	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
207	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
208	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
210	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
211	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
212	C₃₁×#137	—	2	4	no	—
213	C₃₁×#135	—	2	4	no	—
214	C₂×Q₁₆×C₃₁	—	2	4	no	—
215	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
216	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
217	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
218	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
219	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
220	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
224	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
226	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
228	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
229	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
230	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
231	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
232	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
233	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
234	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
235	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
236	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
237	C₃₁×C₄⋊Q₈	—	2	1	no	—
238	C₃₁×C₄⋊Q₈	—	2	1	no	—
239	C₃₁×C₄⋊Q₈	—	2	1	no	—
240	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₃₁×#127	—	2	1	no	—
244	C₃₁×#127	C₂³	1	1	yes	characteristic
245	C₃₁×#126	—	2	1	no	—
246	C₃₁×#126	—	2	1	no	—
247	C₃₁×#126	—	2	1	no	—
248	C₃₁×#126	—	2	1	no	—
249	C₃₁×#126	—	2	1	no	—
250	C₃₁×#126	—	2	1	no	—
251	C₃₁×#126	—	2	1	no	—
252	C₃₁×#126	—	2	1	no	—
253	C₃₁×#126	—	2	1	no	—
254	C₃₁×#126	—	2	1	no	—
255	C₃₁×#126	—	2	1	no	—
256	C₃₁×#126	—	2	1	no	—
257	C₃₁×#125	—	2	1	no	—
258	C₃₁×#125	—	2	1	no	—
259	C₃₁×#125	—	2	1	no	—
260	C₃₁×#125	—	2	1	no	—
261	C₃₁×#125	—	2	1	no	—
262	C₃₁×#125	—	2	1	no	—
263	C₃₁×#125	—	2	1	no	—
264	C₃₁×#125	C₂³	1	1	yes	characteristic
265	C₃₁×#125	C₂³	1	1	yes	characteristic
266	C₃₁×#125	C₂³	1	1	yes	characteristic
267	C₃₁×#125	C₂³	1	1	yes	characteristic
268	C₃₁×#124	—	2	1	no	—
269	C₃₁×#124	—	2	1	no	—
270	C₃₁×#124	—	2	1	no	—
271	C₃₁×#124	—	2	1	no	—
272	C₃₁×#124	—	2	1	no	—
273	C₃₁×#124	—	2	1	no	—
274	C₃₁×#124	—	2	1	no	—
275	C₃₁×#124	C₂³	1	1	yes	characteristic
276	C₃₁×#124	C₂³	1	1	yes	characteristic
277	C₃₁×#124	C₂³	1	1	yes	characteristic
278	C₃₁×#124	C₂³	1	1	yes	characteristic
279	C₃₁×#123	—	2	1	no	—
280	C₃₁×#123	—	2	1	no	—
281	C₃₁×#123	—	2	1	no	—
282	C₃₁×#123	—	2	1	no	—
283	C₃₁×#123	—	2	1	no	—
284	C₃₁×#123	—	2	1	no	—
285	C₃₁×#123	—	2	1	no	—
286	C₃₁×#123	—	2	1	no	—
287	C₃₁×#123	—	2	1	no	—
288	C₃₁×#123	—	2	1	no	—
289	C₃₁×#123	—	2	1	no	—
290	C₃₁×#123	—	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	—	2	1	no	—
297	C₃₁×C₂²⋊Q₈	—	2	1	no	—
298	C₃₁×C₂²⋊Q₈	—	2	1	no	—
299	C₃₁×C₂²⋊Q₈	—	2	1	no	—
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×#121	—	2	1	no	—
307	C₃₁×#121	—	2	1	no	—
308	C₃₁×#121	—	2	1	no	—
309	C₃₁×#121	—	2	1	no	—
310	C₃₁×#121	—	2	1	no	—
311	C₃₁×#121	—	2	1	no	—
312	C₃₁×#121	—	2	1	no	—
313	C₃₁×#121	—	2	1	no	—
314	C₃₁×#121	—	2	1	no	—
315	C₃₁×#121	C₂³	1	1	yes	characteristic
316	C₃₁×#121	C₂³	1	1	yes	characteristic
317	C₃₁×#121	C₂³	1	1	yes	characteristic
318	C₃₁×#121	C₂³	1	1	yes	characteristic
319	C₃₁×#121	C₂³	1	1	yes	characteristic
320	C₃₁×#121	C₂³	1	1	yes	characteristic
321	C₄×Q₈×C₃₁	—	2	1	no	—
322	C₄×Q₈×C₃₁	—	2	1	no	—
323	C₄×Q₈×C₃₁	—	2	1	no	—
324	C₄×Q₈×C₃₁	—	2	1	no	—
325	C₄×Q₈×C₃₁	—	2	1	no	—
326	C₄×Q₈×C₃₁	—	2	1	no	—
327	C₄×Q₈×C₃₁	—	2	1	no	—
328	C₄×Q₈×C₃₁	—	2	1	no	—
329	C₄×Q₈×C₃₁	—	2	1	no	—
330	C₄×Q₈×C₃₁	—	2	1	no	—
331	C₄×Q₈×C₃₁	D₄	1	1	yes	characteristic
332	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
333	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
334	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
335	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
336	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
337	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
338	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
339	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
340	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
341	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
342	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
347	C₄×D₄×C₃₁	—	2	1	no	—
348	C₄×D₄×C₃₁	—	2	1	no	—
349	C₄×D₄×C₃₁	—	2	1	no	—
350	C₄×D₄×C₃₁	—	2	1	no	—
351	C₄×D₄×C₃₁	—	2	1	no	—
352	C₄×D₄×C₃₁	—	2	1	no	—
353	C₄×D₄×C₃₁	—	2	1	no	—
354	C₄×D₄×C₃₁	—	2	1	no	—
355	C₄×D₄×C₃₁	—	2	1	no	—
356	C₄×D₄×C₃₁	—	2	1	no	—
357	C₄×D₄×C₃₁	—	2	1	no	—
358	C₄×D₄×C₃₁	—	2	1	no	—
359	C₄×D₄×C₃₁	—	2	1	no	—
360	C₄×D₄×C₃₁	—	2	1	no	—
361	C₄×D₄×C₃₁	—	2	1	no	—
362	C₄×D₄×C₃₁	—	2	1	no	—
363	C₄×D₄×C₃₁	—	2	1	no	—
364	C₄×D₄×C₃₁	—	2	1	no	—
365	C₄×D₄×C₃₁	—	2	1	no	—
366	C₄×D₄×C₃₁	—	2	1	no	—
367	C₄×D₄×C₃₁	D₄	1	1	yes	characteristic
368	C₄×D₄×C₃₁	D₄	1	1	yes	characteristic
369	C₄×D₄×C₃₁	D₄	1	1	yes	characteristic
370	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
379	C₃₁×#117	—	2	1	no	—
380	C₃₁×#117	—	2	1	no	—
381	C₃₁×#117	—	2	1	no	—
382	C₃₁×#117	—	2	1	no	—
383	C₃₁×#117	—	2	1	no	—
384	C₃₁×#117	—	2	1	no	—
385	C₃₁×#117	—	2	1	no	—
386	C₃₁×#117	—	2	1	no	—
387	C₃₁×#117	—	2	1	no	—
388	C₃₁×#117	—	2	1	no	—
389	C₃₁×#117	—	2	1	no	—
390	C₃₁×#117	D₄	1	1	yes	characteristic
391	C₃₁×#117	D₄	1	1	yes	characteristic
392	C₃₁×#117	D₄	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	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
397	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
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×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
402	C₂×C₄²×C₃₁	—	2	1	no	—
403	C₂×C₄²×C₃₁	—	2	1	no	—
404	C₂×C₄²×C₃₁	—	2	1	no	—
405	C₂×C₄²×C₃₁	—	2	1	no	—
406	C₂×C₄²×C₃₁	—	2	1	no	—
407	C₂×C₄²×C₃₁	—	2	1	no	—
408	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
409	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
410	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
411	C₃₁×#107	C₂³	1	1	yes	characteristic
412	C₃₁×#107	C₂³	1	1	yes	characteristic
413	C₃₁×#107	C₂³	1	1	yes	characteristic
414	C₃₁×#107	C₂³	1	1	yes	characteristic
415	C₃₁×#107	C₂³	1	1	yes	characteristic
416	C₃₁×#107	C₂³	1	1	yes	characteristic
417	C₃₁×#107	C₂³	1	1	yes	characteristic
418	C₃₁×#107	C₂³	1	1	yes	characteristic
419	C₃₁×#106	C₂³	1	1	yes	characteristic
420	C₃₁×#106	C₂³	1	1	yes	characteristic
421	C₃₁×#106	C₂³	1	1	yes	characteristic
422	C₃₁×#106	C₂³	1	1	yes	characteristic
423	C₃₁×#106	C₂³	1	1	yes	characteristic
424	C₃₁×#106	C₂³	1	1	yes	characteristic
425	C₃₁×#106	C₂³	1	1	yes	characteristic
426	C₃₁×#106	C₂³	1	1	yes	characteristic
427	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₃₁×#103	C₂³	1	1	yes	characteristic
434	C₃₁×#103	C₂³	1	1	yes	characteristic
435	C₃₁×#103	C₂³	1	1	yes	characteristic
436	C₃₁×#103	C₂³	1	1	yes	characteristic
437	C₃₁×#103	C₂³	1	1	yes	characteristic
438	C₃₁×#103	C₂³	1	1	yes	characteristic
439	C₃₁×#103	C₂³	1	1	yes	characteristic
440	C₃₁×#103	C₂³	1	1	yes	characteristic
441	C₃₁×#103	C₂³	1	1	yes	characteristic
442	C₃₁×#103	C₂³	1	1	yes	characteristic
443	C₃₁×#103	C₂³	1	1	yes	characteristic
444	C₃₁×#103	C₂³	1	1	yes	characteristic
445	C₃₁×#103	C₂³	1	1	yes	characteristic
446	C₃₁×#103	C₂³	1	1	yes	characteristic
447	C₃₁×#103	C₂³	1	1	yes	characteristic
448	C₃₁×#103	C₂³	1	1	yes	characteristic
449	C₃₁×#103	C₂³	1	1	yes	characteristic
450	C₃₁×#103	C₂³	1	1	yes	characteristic
451	C₃₁×#103	C₂³	1	1	yes	characteristic
452	C₃₁×#103	C₂³	1	1	yes	characteristic
453	C₃₁×#102	C₂³	1	1	yes	characteristic
454	C₃₁×#102	C₂³	1	1	yes	characteristic
455	C₃₁×#102	C₂³	1	1	yes	characteristic
456	C₃₁×#102	C₂³	1	1	yes	characteristic
457	C₃₁×#102	C₂³	1	1	yes	characteristic
458	C₃₁×#102	C₂³	1	1	yes	characteristic
459	C₃₁×#102	C₂³	1	1	yes	characteristic
460	C₃₁×#102	C₂³	1	1	yes	characteristic
461	C₃₁×#102	C₂³	1	1	yes	characteristic
462	C₃₁×#102	C₂³	1	1	yes	characteristic
463	C₃₁×#102	C₂³	1	1	yes	characteristic
464	C₃₁×#102	C₂³	1	1	yes	characteristic
465	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₃₁×#97	C₂³	1	1	yes	characteristic
472	C₃₁×#97	C₂³	1	1	yes	characteristic
473	C₃₁×#97	C₂³	1	1	yes	characteristic
474	C₃₁×#97	C₂³	1	1	yes	characteristic
475	C₃₁×#97	C₂³	1	1	yes	characteristic
476	C₃₁×#97	C₂³	1	1	yes	characteristic
477	C₃₁×#97	C₂³	1	1	yes	characteristic
478	C₃₁×#97	C₂³	1	1	yes	characteristic
479	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
481	#41×C₃₁	—	2	2	no	—
482	#41×C₃₁	—	2	2	no	—
483	#41×C₃₁	—	2	2	no	—
484	#41×C₃₁	—	4	2	no	—
485	#41×C₃₁	—	4	1	no	—
486	#41×C₃₁	—	4	1	no	—
487	#41×C₃₁	—	4	1	no	—
488	#41×C₃₁	—	4	4	no	—
489	#41×C₃₁	—	4	4	no	—
490	C₂×Q₈×C₃₁	—	2	1	no	—
491	C₂×Q₈×C₃₁	—	2	1	no	—
492	C₂×Q₈×C₃₁	—	2	1	no	—
493	C₂×Q₈×C₃₁	—	2	1	no	—
494	C₂×Q₈×C₃₁	—	2	1	no	—
495	C₂×Q₈×C₃₁	—	2	2	no	—
496	C₂×Q₈×C₃₁	—	2	2	no	—
497	C₂×Q₈×C₃₁	—	2	2	no	—
498	C₂×Q₈×C₃₁	—	4	1	no	—
499	C₂×Q₈×C₃₁	—	4	1	no	—
500	C₂×Q₈×C₃₁	—	4	1	no	—
501	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
502	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
503	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
504	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
505	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
506	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
507	C₂×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	C₂×D₄	1	1	yes	characteristic
519	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
520	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
521	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
522	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
523	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₃₁	—	2	1	no	—
525	C₂²×C₄×C₃₁	—	2	1	no	—
526	C₂²×C₄×C₃₁	—	2	1	no	—
527	C₂²×C₄×C₃₁	—	2	1	no	—
528	C₂²×C₄×C₃₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
540	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
542	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
543	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
544	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
545	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
548	Q₁₆×C₃₁	—	2	2	no	—
549	Q₁₆×C₃₁	—	2	2	no	—
550	Q₁₆×C₃₁	—	2	2	no	—
551	Q₁₆×C₃₁	—	2	2	no	—
552	Q₁₆×C₃₁	—	4	1	no	—
553	Q₁₆×C₃₁	#41	1	4	yes	complemented
554	SD₁₆×C₃₁	—	2	2	no	—
555	SD₁₆×C₃₁	—	2	2	no	—
556	SD₁₆×C₃₁	—	2	2	no	—
557	SD₁₆×C₃₁	—	2	2	no	—
558	SD₁₆×C₃₁	—	4	1	no	—
559	SD₁₆×C₃₁	—	4	1	no	—
560	SD₁₆×C₃₁	—	4	1	no	—
561	SD₁₆×C₃₁	—	4	1	no	—
562	D₈×C₃₁	—	2	2	no	—
563	D₈×C₃₁	—	4	1	no	—
564	M₁₆×C₃₁	—	2	2	no	—
565	M₁₆×C₃₁	—	4	1	no	—
566	C₂×C₈×C₃₁	—	2	2	no	—
567	C₂×C₈×C₃₁	—	2	2	no	—
568	C₂×C₈×C₃₁	—	4	1	no	—
569	C₂×C₈×C₃₁	—	4	1	no	—
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	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
577	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
609	C₄⋊C₄×C₃₁	—	2	1	no	—
610	C₄⋊C₄×C₃₁	—	2	1	no	—
611	C₄⋊C₄×C₃₁	—	2	1	no	—
612	C₄⋊C₄×C₃₁	—	2	1	no	—
613	C₄⋊C₄×C₃₁	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	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	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	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	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₃₁	—	2	1	no	—
663	C₄²×C₃₁	—	2	1	no	—
664	C₄²×C₃₁	—	2	1	no	—
665	C₄²×C₃₁	—	2	1	no	—
666	C₄²×C₃₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
680	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
681	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
682	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
683	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
684	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
685	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
686	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
687	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
688	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
689	#61458	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
690	C₂³×C₃₁	—	2	1	no	—
691	C₂³×C₃₁	—	2	1	no	—
692	C₂³×C₃₁	—	2	1	no	—
693	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
694	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
695	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
696	Q₈×C₃₁	—	2	1	no	—
697	Q₈×C₃₁	—	2	1	no	—
698	Q₈×C₃₁	—	2	1	no	—
699	Q₈×C₃₁	—	2	1	no	—
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	—	4	1	no	—
705	Q₈×C₃₁	—	4	2	no	—
706	Q₈×C₃₁	—	4	2	no	—
707	Q₈×C₃₁	—	4	2	no	—
708	Q₈×C₃₁	—	4	2	no	—
709	Q₈×C₃₁	—	4	2	no	—
710	Q₈×C₃₁	C₂×#41	1	2	yes	—
711	Q₈×C₃₁	C₂×#41	1	2	yes	—
712	D₄×C₃₁	—	2	2	no	—
713	D₄×C₃₁	—	2	2	no	—
714	D₄×C₃₁	—	2	1	no	—
715	D₄×C₃₁	—	2	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	—	4	1	no	—
721	D₄×C₃₁	—	4	2	no	—
722	D₄×C₃₁	—	4	2	no	—
723	D₄×C₃₁	—	4	2	no	—
724	D₄×C₃₁	—	4	2	no	—
725	D₄×C₃₁	—	4	2	no	—
726	D₄×C₃₁	—	4	2	no	—
727	D₄×C₃₁	—	4	2	no	—
728	D₄×C₃₁	—	4	2	no	—
729	D₄×C₃₁	—	8	1	no	—
730	D₄×C₃₁	—	8	1	no	—
731	D₄×C₃₁	—	8	1	no	—
732	C₂×C₄×C₃₁	—	2	2	no	—
733	C₂×C₄×C₃₁	—	2	1	no	—
734	C₂×C₄×C₃₁	—	2	1	no	—
735	C₂×C₄×C₃₁	—	2	1	no	—
736	C₂×C₄×C₃₁	—	2	1	no	—
737	C₂×C₄×C₃₁	—	2	1	no	—
738	C₂×C₄×C₃₁	—	2	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	—	4	1	no	—
753	C₂×C₄×C₃₁	—	4	1	no	—
754	C₂×C₄×C₃₁	—	4	1	no	—
755	C₂×C₄×C₃₁	—	4	1	no	—
756	C₂×C₄×C₃₁	—	4	1	no	—
757	C₂×C₄×C₃₁	—	4	2	no	—
758	C₂×C₄×C₃₁	—	4	2	no	—
759	C₂×C₄×C₃₁	—	4	2	no	—
760	C₂×C₄×C₃₁	—	4	2	no	—
761	C₂×C₄×C₃₁	—	4	2	no	—
762	C₂×C₄×C₃₁	—	4	2	no	—
763	C₂×C₄×C₃₁	—	4	2	no	—
764	C₂×C₄×C₃₁	—	4	2	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	—	4	2	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	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
784	C₈×C₃₁	—	2	1	no	—
785	C₈×C₃₁	—	2	1	no	—
786	C₈×C₃₁	—	2	1	no	—
787	C₈×C₃₁	—	2	1	no	—
788	C₈×C₃₁	—	2	1	no	—
789	C₈×C₃₁	—	2	1	no	—
790	C₈×C₃₁	—	2	1	no	—
791	C₈×C₃₁	C₂×#41	1	2	yes	—
792	#3482	C₂×C₃₁	1	1	yes	characteristic, complemented
793	#3480	C₂×C₃₁	1	1	yes	characteristic, complemented
794	#3401	C₂×C₃₁	1	1	yes	characteristic, complemented
795	#3390	C₂×C₃₁	1	1	yes	characteristic, complemented
796	#3377	C₂×C₃₁	1	1	yes	characteristic, complemented
797	#3371	C₂×C₃₁	1	1	yes	characteristic, complemented
798	#3349	C₂×C₃₁	1	1	yes	characteristic, complemented
799	#3345	C₂×C₃₁	1	1	yes	characteristic, complemented
800	#3337	C₂×C₃₁	1	1	yes	characteristic, complemented
801	#3320	C₂×C₃₁	1	1	yes	characteristic, complemented
802	#3317	C₂×C₃₁	1	1	yes	characteristic, complemented
803	#3313	C₂×C₃₁	1	1	yes	characteristic, complemented
804	#3308	C₂×C₃₁	1	1	yes	characteristic, complemented
805	#3301	C₂×C₃₁	1	1	yes	characteristic, complemented
806	#3300	C₂×C₃₁	1	1	yes	characteristic, complemented
807	#3285	C₂×C₃₁	1	1	yes	characteristic, complemented
808	#3271	C₂×C₃₁	1	1	yes	characteristic, complemented
809	#3270	C₂×C₃₁	1	1	yes	characteristic, complemented
810	#3183	C₂×C₃₁	1	1	yes	characteristic, complemented
811	#3181	C₂×C₃₁	1	1	yes	characteristic, complemented
812	#3180	C₂×C₃₁	1	1	yes	characteristic, complemented
813	#3117	C₂×C₃₁	1	1	yes	characteristic, complemented
814	#3117	C₂×C₃₁	1	1	yes	characteristic, complemented
815	#3116	C₂×C₃₁	1	1	yes	characteristic, complemented
816	#3112	C₂×C₃₁	1	1	yes	characteristic, complemented
817	#3111	C₂×C₃₁	1	1	yes	characteristic, complemented
818	#3111	C₂×C₃₁	1	1	yes	characteristic, complemented
819	#2970	C₂×C₃₁	1	1	yes	characteristic, complemented
820	C₄×#137	C₂×C₃₁	1	1	yes	characteristic, complemented
821	#2943	C₂×C₃₁	1	1	yes	characteristic, complemented
822	C₂×#441	C₂×C₃₁	1	1	yes	characteristic, complemented
823	C₂²×C₃₁	—	2	1	no	—
824	C₂²×C₃₁	—	2	1	no	—
825	C₂²×C₃₁	—	2	1	no	—
826	C₂²×C₃₁	—	2	1	no	—
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	—	4	1	no	—
832	C₂²×C₃₁	—	4	1	no	—
833	C₂²×C₃₁	—	4	1	no	—
834	C₂²×C₃₁	—	4	1	no	—
835	C₂²×C₃₁	—	4	1	no	—
836	C₂²×C₃₁	—	4	1	no	—
837	C₂²×C₃₁	—	4	1	no	—
838	C₂²×C₃₁	—	4	1	no	—
839	C₂²×C₃₁	—	4	1	no	—
840	C₂²×C₃₁	#575	1	2	yes	—
841	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
842	C₄×C₃₁	—	2	1	no	—
843	C₄×C₃₁	—	2	1	no	—
844	C₄×C₃₁	—	2	1	no	—
845	C₄×C₃₁	—	2	1	no	—
846	C₄×C₃₁	—	2	1	no	—
847	C₄×C₃₁	—	2	1	no	—
848	C₄×C₃₁	—	2	1	no	—
849	C₄×C₃₁	—	2	2	no	—
850	C₄×C₃₁	—	2	2	no	—
851	C₄×C₃₁	—	2	1	no	—
852	C₄×C₃₁	—	2	1	no	—
853	C₄×C₃₁	—	2	1	no	—
854	C₄×C₃₁	—	2	1	no	—
855	C₄×C₃₁	—	4	1	no	—
856	C₄×C₃₁	—	4	1	no	—
857	C₄×C₃₁	—	4	1	no	—
858	C₄×C₃₁	—	4	1	no	—
859	C₄×C₃₁	—	4	1	no	—
860	C₄×C₃₁	—	4	1	no	—
861	C₄×C₃₁	—	4	1	no	—
862	C₄×C₃₁	—	4	1	no	—
863	C₄×C₃₁	—	4	1	no	—
864	C₄×C₃₁	—	4	1	no	—
865	C₄×C₃₁	—	4	1	no	—
866	C₄×C₃₁	C₂²×#41	1	1	yes	characteristic
867	C₄×C₃₁	#585	1	1	yes	characteristic
868	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic
869	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic
870	C₂²×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
871	#559	—	2	1	no	—
872	#559	C₂²×C₃₁	1	1	yes	characteristic
873	#557	C₂²×C₃₁	1	1	yes	characteristic
874	#557	C₂²×C₃₁	1	1	yes	characteristic
875	#556	—	2	1	no	—
876	#556	—	2	1	no	—
877	#556	C₂²×C₃₁	1	1	yes	characteristic
878	#556	C₂²×C₃₁	1	1	yes	characteristic
879	#553	—	2	1	no	—
880	#553	—	2	1	no	—
881	#553	C₂²×C₃₁	1	1	yes	characteristic
882	#553	C₂²×C₃₁	1	1	yes	characteristic
883	#552	—	2	1	no	—
884	#552	—	2	1	no	—
885	#552	C₂²×C₃₁	1	1	yes	characteristic
886	#552	C₂²×C₃₁	1	1	yes	characteristic
887	#550	C₂²×C₃₁	1	1	yes	characteristic
888	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
889	#548	C₂²×C₃₁	1	1	yes	characteristic
890	#548	C₂²×C₃₁	1	1	yes	characteristic
891	#548	C₂²×C₃₁	1	1	yes	characteristic
892	#548	C₂²×C₃₁	1	1	yes	characteristic
893	#547	—	2	1	no	—
894	#547	C₂²×C₃₁	1	1	yes	characteristic
895	#533	—	2	1	no	—
896	#533	C₂²×C₃₁	1	1	yes	characteristic
897	#532	—	2	1	no	—
898	#532	C₂²×C₃₁	1	1	yes	characteristic
899	#529	—	2	1	no	—
900	#529	—	2	1	no	—
901	#529	—	2	1	no	—
902	#529	—	2	1	no	—
903	#529	C₂²×C₃₁	1	1	yes	characteristic
904	#529	C₂²×C₃₁	1	1	yes	characteristic
905	#529	C₂²×C₃₁	1	1	yes	characteristic
906	#529	C₂²×C₃₁	1	1	yes	characteristic
907	C₄×#41	—	2	1	no	—
908	C₄×#41	—	2	1	no	—
909	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic
910	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic
911	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic
912	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic
913	C₂×C₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
914	C₂×C₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
915	C₂×C₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
916	#501	C₂²×C₃₁	1	1	yes	characteristic
917	#501	C₂²×C₃₁	1	1	yes	characteristic
918	#499	C₂²×C₃₁	1	1	yes	characteristic
919	#497	C₂²×C₃₁	1	1	yes	characteristic
920	#496	C₂²×C₃₁	1	1	yes	characteristic
921	#495	C₂²×C₃₁	1	1	yes	characteristic
922	#491	C₂²×C₃₁	1	1	yes	characteristic
923	#490	C₂²×C₃₁	1	1	yes	characteristic
924	#489	C₂²×C₃₁	1	1	yes	characteristic
925	#489	C₂²×C₃₁	1	1	yes	characteristic
926	#488	C₂²×C₃₁	1	1	yes	characteristic
927	#488	C₂²×C₃₁	1	1	yes	characteristic
928	#485	C₂²×C₃₁	1	1	yes	characteristic
929	#485	C₂²×C₃₁	1	1	yes	characteristic
930	#485	C₂²×C₃₁	1	1	yes	characteristic
931	#485	C₂²×C₃₁	1	1	yes	characteristic
932	#484	C₂²×C₃₁	1	1	yes	characteristic
933	#484	C₂²×C₃₁	1	1	yes	characteristic
934	#482	C₂²×C₃₁	1	1	yes	characteristic
935	#482	C₂²×C₃₁	1	1	yes	characteristic
936	#481	C₂²×C₃₁	1	1	yes	characteristic
937	#481	C₂²×C₃₁	1	1	yes	characteristic
938	#480	C₂²×C₃₁	1	1	yes	characteristic
939	#480	C₂²×C₃₁	1	1	yes	characteristic
940	#479	C₂²×C₃₁	1	1	yes	characteristic
941	#479	C₂²×C₃₁	1	1	yes	characteristic
942	#479	C₂²×C₃₁	1	1	yes	characteristic
943	#479	C₂²×C₃₁	1	1	yes	characteristic
944	#479	C₂²×C₃₁	1	1	yes	characteristic
945	#479	C₂²×C₃₁	1	1	yes	characteristic
946	#478	C₂²×C₃₁	1	1	yes	characteristic
947	#478	C₂²×C₃₁	1	1	yes	characteristic
948	#477	C₂²×C₃₁	1	1	yes	characteristic
949	#477	C₂²×C₃₁	1	1	yes	characteristic
950	#477	C₂²×C₃₁	1	1	yes	characteristic
951	#476	C₂²×C₃₁	1	1	yes	characteristic
952	#470	C₂²×C₃₁	1	1	yes	characteristic
953	#469	C₂²×C₃₁	1	1	yes	characteristic
954	#468	C₂²×C₃₁	1	1	yes	characteristic
955	#468	C₂²×C₃₁	1	1	yes	characteristic
956	#467	C₂²×C₃₁	1	1	yes	characteristic
957	#467	C₂²×C₃₁	1	1	yes	characteristic
958	#466	C₂²×C₃₁	1	1	yes	characteristic
959	#466	C₂²×C₃₁	1	1	yes	characteristic
960	#465	C₂²×C₃₁	1	1	yes	characteristic
961	#465	C₂²×C₃₁	1	1	yes	characteristic
962	#465	C₂²×C₃₁	1	1	yes	characteristic
963	#465	C₂²×C₃₁	1	1	yes	characteristic
964	#464	C₂²×C₃₁	1	1	yes	characteristic
965	#464	C₂²×C₃₁	1	1	yes	characteristic
966	#464	C₂²×C₃₁	1	1	yes	characteristic
967	#464	C₂²×C₃₁	1	1	yes	characteristic
968	#464	C₂²×C₃₁	1	1	yes	characteristic
969	#464	C₂²×C₃₁	1	1	yes	characteristic
970	#463	C₂²×C₃₁	1	1	yes	characteristic
971	#463	C₂²×C₃₁	1	1	yes	characteristic
972	#462	C₂²×C₃₁	1	1	yes	characteristic
973	#461	C₂²×C₃₁	1	1	yes	characteristic
974	#460	C₂²×C₃₁	1	1	yes	characteristic
975	#460	C₂²×C₃₁	1	1	yes	characteristic
976	#452	C₂²×C₃₁	1	1	yes	characteristic
977	#452	C₂²×C₃₁	1	1	yes	characteristic
978	#452	C₂²×C₃₁	1	1	yes	characteristic
979	#452	C₂²×C₃₁	1	1	yes	characteristic
980	#451	C₂²×C₃₁	1	1	yes	characteristic
981	#451	C₂²×C₃₁	1	1	yes	characteristic
982	#449	C₂²×C₃₁	1	1	yes	characteristic
983	#449	C₂²×C₃₁	1	1	yes	characteristic
984	#448	C₂²×C₃₁	1	1	yes	characteristic
985	#448	C₂²×C₃₁	1	1	yes	characteristic
986	#448	C₂²×C₃₁	1	1	yes	characteristic
987	#448	C₂²×C₃₁	1	1	yes	characteristic
988	#446	C₂²×C₃₁	1	1	yes	characteristic
989	#446	C₂²×C₃₁	1	1	yes	characteristic
990	#442	C₂²×C₃₁	1	1	yes	characteristic
991	#442	C₂²×C₃₁	1	1	yes	characteristic
992	#442	C₂²×C₃₁	1	1	yes	characteristic
993	#441	C₂²×C₃₁	1	1	yes	characteristic
994	#441	C₂²×C₃₁	1	1	yes	characteristic
995	#441	C₂²×C₃₁	1	1	yes	characteristic
996	#441	C₂²×C₃₁	1	1	yes	characteristic
997	#441	C₂²×C₃₁	1	1	yes	characteristic
998	#441	C₂²×C₃₁	1	1	yes	characteristic
999	#441	C₂²×C₃₁	1	1	yes	characteristic
1000	#441	C₂²×C₃₁	1	1	yes	characteristic
1001	#441	C₂²×C₃₁	1	1	yes	characteristic
1002	#441	C₂²×C₃₁	1	1	yes	characteristic
1003	#441	C₂²×C₃₁	1	1	yes	characteristic
1004	#440	C₂²×C₃₁	1	1	yes	characteristic
1005	#440	C₂²×C₃₁	1	1	yes	characteristic
1006	#440	C₂²×C₃₁	1	1	yes	characteristic
1007	#440	C₂²×C₃₁	1	1	yes	characteristic
1008	#440	C₂²×C₃₁	1	1	yes	characteristic
1009	#440	C₂²×C₃₁	1	1	yes	characteristic
1010	#440	C₂²×C₃₁	1	1	yes	characteristic
1011	#440	C₂²×C₃₁	1	1	yes	characteristic
1012	#440	C₂²×C₃₁	1	1	yes	characteristic
1013	#440	C₂²×C₃₁	1	1	yes	characteristic
1014	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
1015	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
1016	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1017	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1018	#435	C₂²×C₃₁	1	1	yes	characteristic
1019	#435	C₂²×C₃₁	1	1	yes	characteristic
1020	#435	C₂²×C₃₁	1	1	yes	characteristic
1021	#435	C₂²×C₃₁	1	1	yes	characteristic
1022	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic
1023	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic
1024	#432	C₂²×C₃₁	1	1	yes	characteristic
1025	#432	C₂²×C₃₁	1	1	yes	characteristic
1026	#432	C₂²×C₃₁	1	1	yes	characteristic
1027	#428	C₂²×C₃₁	1	1	yes	characteristic
1028	#427	C₂²×C₃₁	1	1	yes	characteristic
1029	C₂×#106	C₂²×C₃₁	1	1	yes	characteristic
1030	#419	C₂²×C₃₁	1	1	yes	characteristic
1031	#417	C₂²×C₃₁	1	1	yes	characteristic
1032	#416	C₂²×C₃₁	1	1	yes	characteristic
1033	#416	C₂²×C₃₁	1	1	yes	characteristic
1034	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic
1035	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic
1036	C₄×M₁₆	C₂²×C₃₁	1	1	yes	characteristic
1037	C₂×#97	C₂²×C₃₁	1	1	yes	characteristic
1038	C₂×#97	C₂²×C₃₁	1	1	yes	characteristic
1039	C₂×C₃₁	—	2	2	no	—
1040	C₂×C₃₁	—	4	1	no	—
1041	C₂×C₃₁	—	4	1	no	—
1042	C₂×C₃₁	—	8	1	no	—
1043	C₂×C₃₁	—	8	1	no	—
1044	C₂×C₃₁	—	8	1	no	—
1045	C₂×C₃₁	D₄×#41	1	1	yes	characteristic
1046	C₂×C₃₁	C₂×#575	1	1	yes	characteristic
1047	C₂×C₃₁	#3586	1	1	yes	characteristic
1048	C₂×#41	—	2	1	no	—
1049	C₂×#41	—	2	1	no	—
1050	C₂×#41	D₄×C₃₁	1	1	yes	characteristic
1051	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1052	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1053	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1054	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1055	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1056	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1057	#137	—	2	4	no	—
1058	#135	—	2	4	no	—
1059	C₂×Q₁₆	—	2	4	no	—
1060	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1061	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1062	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1063	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1064	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1065	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1066	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1067	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1068	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1069	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1070	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1071	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1072	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1073	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1074	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1075	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1076	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1077	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1078	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1079	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1080	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1081	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1082	C₄⋊Q₈	—	2	1	no	—
1083	C₄⋊Q₈	—	2	1	no	—
1084	C₄⋊Q₈	—	2	1	no	—
1085	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1086	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1087	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1088	#127	—	2	1	no	—
1089	#127	C₂³×C₃₁	1	1	yes	characteristic
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	—	2	1	no	—
1093	#126	—	2	1	no	—
1094	#126	—	2	1	no	—
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	#125	—	2	1	no	—
1103	#125	—	2	1	no	—
1104	#125	—	2	1	no	—
1105	#125	—	2	1	no	—
1106	#125	—	2	1	no	—
1107	#125	—	2	1	no	—
1108	#125	—	2	1	no	—
1109	#125	C₂³×C₃₁	1	1	yes	characteristic
1110	#125	C₂³×C₃₁	1	1	yes	characteristic
1111	#125	C₂³×C₃₁	1	1	yes	characteristic
1112	#125	C₂³×C₃₁	1	1	yes	characteristic
1113	#124	—	2	1	no	—
1114	#124	—	2	1	no	—
1115	#124	—	2	1	no	—
1116	#124	—	2	1	no	—
1117	#124	—	2	1	no	—
1118	#124	—	2	1	no	—
1119	#124	—	2	1	no	—
1120	#124	C₂³×C₃₁	1	1	yes	characteristic
1121	#124	C₂³×C₃₁	1	1	yes	characteristic
1122	#124	C₂³×C₃₁	1	1	yes	characteristic
1123	#124	C₂³×C₃₁	1	1	yes	characteristic
1124	#123	—	2	1	no	—
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	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	2	1	no	—
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1146	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1147	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1148	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1150	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1151	#121	—	2	1	no	—
1152	#121	—	2	1	no	—
1153	#121	—	2	1	no	—
1154	#121	—	2	1	no	—
1155	#121	—	2	1	no	—
1156	#121	—	2	1	no	—
1157	#121	—	2	1	no	—
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	C₂³×C₃₁	1	1	yes	characteristic
1161	#121	C₂³×C₃₁	1	1	yes	characteristic
1162	#121	C₂³×C₃₁	1	1	yes	characteristic
1163	#121	C₂³×C₃₁	1	1	yes	characteristic
1164	#121	C₂³×C₃₁	1	1	yes	characteristic
1165	#121	C₂³×C₃₁	1	1	yes	characteristic
1166	C₄×Q₈	—	2	1	no	—
1167	C₄×Q₈	—	2	1	no	—
1168	C₄×Q₈	—	2	1	no	—
1169	C₄×Q₈	—	2	1	no	—
1170	C₄×Q₈	—	2	1	no	—
1171	C₄×Q₈	—	2	1	no	—
1172	C₄×Q₈	—	2	1	no	—
1173	C₄×Q₈	—	2	1	no	—
1174	C₄×Q₈	—	2	1	no	—
1175	C₄×Q₈	—	2	1	no	—
1176	C₄×Q₈	D₄×C₃₁	1	1	yes	characteristic
1177	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1178	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1179	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1180	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1181	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1182	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1183	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1184	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1185	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1186	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1187	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1188	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1189	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1190	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1191	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	D₄×C₃₁	1	1	yes	characteristic
1213	C₄×D₄	D₄×C₃₁	1	1	yes	characteristic
1214	C₄×D₄	D₄×C₃₁	1	1	yes	characteristic
1215	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1216	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1217	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1218	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1219	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
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	#117	—	2	1	no	—
1225	#117	—	2	1	no	—
1226	#117	—	2	1	no	—
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	D₄×C₃₁	1	1	yes	characteristic
1236	#117	D₄×C₃₁	1	1	yes	characteristic
1237	#117	D₄×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	C₂×C₄⋊C₄	—	2	1	no	—
1242	C₂×C₄⋊C₄	—	2	1	no	—
1243	C₂×C₄⋊C₄	—	2	1	no	—
1244	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1245	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1246	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1247	C₂×C₄²	—	2	1	no	—
1248	C₂×C₄²	—	2	1	no	—
1249	C₂×C₄²	—	2	1	no	—
1250	C₂×C₄²	—	2	1	no	—
1251	C₂×C₄²	—	2	1	no	—
1252	C₂×C₄²	—	2	1	no	—
1253	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1254	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1255	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1256	#107	C₂³×C₃₁	1	1	yes	characteristic
1257	#107	C₂³×C₃₁	1	1	yes	characteristic
1258	#107	C₂³×C₃₁	1	1	yes	characteristic
1259	#107	C₂³×C₃₁	1	1	yes	characteristic
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	#106	C₂³×C₃₁	1	1	yes	characteristic
1265	#106	C₂³×C₃₁	1	1	yes	characteristic
1266	#106	C₂³×C₃₁	1	1	yes	characteristic
1267	#106	C₂³×C₃₁	1	1	yes	characteristic
1268	#106	C₂³×C₃₁	1	1	yes	characteristic
1269	#106	C₂³×C₃₁	1	1	yes	characteristic
1270	#106	C₂³×C₃₁	1	1	yes	characteristic
1271	#106	C₂³×C₃₁	1	1	yes	characteristic
1272	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1273	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1274	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1275	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1276	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1277	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1278	#103	C₂³×C₃₁	1	1	yes	characteristic
1279	#103	C₂³×C₃₁	1	1	yes	characteristic
1280	#103	C₂³×C₃₁	1	1	yes	characteristic
1281	#103	C₂³×C₃₁	1	1	yes	characteristic
1282	#103	C₂³×C₃₁	1	1	yes	characteristic
1283	#103	C₂³×C₃₁	1	1	yes	characteristic
1284	#103	C₂³×C₃₁	1	1	yes	characteristic
1285	#103	C₂³×C₃₁	1	1	yes	characteristic
1286	#103	C₂³×C₃₁	1	1	yes	characteristic
1287	#103	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	#102	C₂³×C₃₁	1	1	yes	characteristic
1299	#102	C₂³×C₃₁	1	1	yes	characteristic
1300	#102	C₂³×C₃₁	1	1	yes	characteristic
1301	#102	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	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1311	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1312	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1313	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1314	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1315	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1316	#97	C₂³×C₃₁	1	1	yes	characteristic
1317	#97	C₂³×C₃₁	1	1	yes	characteristic
1318	#97	C₂³×C₃₁	1	1	yes	characteristic
1319	#97	C₂³×C₃₁	1	1	yes	characteristic
1320	#97	C₂³×C₃₁	1	1	yes	characteristic
1321	#97	C₂³×C₃₁	1	1	yes	characteristic
1322	#97	C₂³×C₃₁	1	1	yes	characteristic
1323	#97	C₂³×C₃₁	1	1	yes	characteristic
1324	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1325	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1326	C₃₁	#61458	1	1	yes	characteristic, direct product factor, Sylow
1327	#41	—	2	2	no	—
1328	#41	—	2	2	no	—
1329	#41	—	2	2	no	—
1330	#41	—	4	2	no	—
1331	#41	—	4	1	no	—
1332	#41	—	4	1	no	—
1333	#41	—	4	1	no	—
1334	#41	—	4	4	no	—
1335	#41	—	4	4	no	—
1336	C₂×Q₈	—	2	1	no	—
1337	C₂×Q₈	—	2	1	no	—
1338	C₂×Q₈	—	2	1	no	—
1339	C₂×Q₈	—	2	1	no	—
1340	C₂×Q₈	—	2	1	no	—
1341	C₂×Q₈	—	2	2	no	—
1342	C₂×Q₈	—	2	2	no	—
1343	C₂×Q₈	—	2	2	no	—
1344	C₂×Q₈	—	4	1	no	—
1345	C₂×Q₈	—	4	1	no	—
1346	C₂×Q₈	—	4	1	no	—
1347	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1348	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1349	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1350	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1351	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1352	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
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	C₂×D₄×C₃₁	1	1	yes	characteristic
1365	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1366	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1367	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1368	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1369	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1386	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1387	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1388	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1389	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1390	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1391	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1392	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1393	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1394	Q₁₆	—	2	2	no	—
1395	Q₁₆	—	2	2	no	—
1396	Q₁₆	—	2	2	no	—
1397	Q₁₆	—	2	2	no	—
1398	Q₁₆	—	4	1	no	—
1399	Q₁₆	#41×C₃₁	1	4	yes	complemented
1400	SD₁₆	—	2	2	no	—
1401	SD₁₆	—	2	2	no	—
1402	SD₁₆	—	2	2	no	—
1403	SD₁₆	—	2	2	no	—
1404	SD₁₆	—	4	1	no	—
1405	SD₁₆	—	4	1	no	—
1406	SD₁₆	—	4	1	no	—
1407	SD₁₆	—	4	1	no	—
1408	D₈	—	2	2	no	—
1409	D₈	—	4	1	no	—
1410	M₁₆	—	2	2	no	—
1411	M₁₆	—	4	1	no	—
1412	C₂×C₈	—	2	2	no	—
1413	C₂×C₈	—	2	2	no	—
1414	C₂×C₈	—	4	1	no	—
1415	C₂×C₈	—	4	1	no	—
1416	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1417	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1418	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1419	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1420	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1421	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1422	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1423	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₃₁	1	1	yes	characteristic
1460	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1461	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1462	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1463	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1464	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1465	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1466	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1467	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1468	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1469	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1470	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1471	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1472	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₃₁	1	1	yes	characteristic
1503	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1504	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1505	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1506	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1507	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1508	C₄²	—	2	1	no	—
1509	C₄²	—	2	1	no	—
1510	C₄²	—	2	1	no	—
1511	C₄²	—	2	1	no	—
1512	C₄²	—	2	1	no	—
1513	C₄²	—	2	1	no	—
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	—	2	1	no	—
1521	C₄²	—	2	1	no	—
1522	C₄²	—	2	1	no	—
1523	C₄²	—	2	1	no	—
1524	C₄²	—	2	1	no	—
1525	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1526	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1527	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1528	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1529	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1530	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1531	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1532	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1533	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1534	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1535	C₂³	—	2	1	no	—
1536	C₂³	—	2	1	no	—
1537	C₂³	—	2	1	no	—
1538	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1539	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1540	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1541	Q₈	—	2	1	no	—
1542	Q₈	—	2	1	no	—
1543	Q₈	—	2	1	no	—
1544	Q₈	—	2	1	no	—
1545	Q₈	—	2	1	no	—
1546	Q₈	—	2	1	no	—
1547	Q₈	—	2	1	no	—
1548	Q₈	—	2	1	no	—
1549	Q₈	—	4	1	no	—
1550	Q₈	—	4	2	no	—
1551	Q₈	—	4	2	no	—
1552	Q₈	—	4	2	no	—
1553	Q₈	—	4	2	no	—
1554	Q₈	—	4	2	no	—
1555	Q₈	C₂×#41×C₃₁	1	2	yes	—
1556	Q₈	C₂×#41×C₃₁	1	2	yes	—
1557	D₄	—	2	2	no	—
1558	D₄	—	2	2	no	—
1559	D₄	—	2	1	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	2	1	no	—
1563	D₄	—	2	1	no	—
1564	D₄	—	2	1	no	—
1565	D₄	—	4	1	no	—
1566	D₄	—	4	2	no	—
1567	D₄	—	4	2	no	—
1568	D₄	—	4	2	no	—
1569	D₄	—	4	2	no	—
1570	D₄	—	4	2	no	—
1571	D₄	—	4	2	no	—
1572	D₄	—	4	2	no	—
1573	D₄	—	4	2	no	—
1574	D₄	—	8	1	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	8	1	no	—
1577	C₂×C₄	—	2	2	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	4	1	no	—
1598	C₂×C₄	—	4	1	no	—
1599	C₂×C₄	—	4	1	no	—
1600	C₂×C₄	—	4	1	no	—
1601	C₂×C₄	—	4	1	no	—
1602	C₂×C₄	—	4	2	no	—
1603	C₂×C₄	—	4	2	no	—
1604	C₂×C₄	—	4	2	no	—
1605	C₂×C₄	—	4	2	no	—
1606	C₂×C₄	—	4	2	no	—
1607	C₂×C₄	—	4	2	no	—
1608	C₂×C₄	—	4	2	no	—
1609	C₂×C₄	—	4	2	no	—
1610	C₂×C₄	—	4	2	no	—
1611	C₂×C₄	—	4	2	no	—
1612	C₂×C₄	—	4	2	no	—
1613	C₂×C₄	—	4	2	no	—
1614	C₂×C₄	—	8	1	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1618	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1619	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1620	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1621	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1622	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1623	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1624	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1625	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1626	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1627	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1628	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1629	C₈	—	2	1	no	—
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	2	1	no	—
1635	C₈	—	2	1	no	—
1636	C₈	C₂×#41×C₃₁	1	2	yes	—
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	4	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	C₃₁×#575	1	2	yes	—
1655	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1656	C₄	—	2	1	no	—
1657	C₄	—	2	1	no	—
1658	C₄	—	2	1	no	—
1659	C₄	—	2	2	no	—
1660	C₄	—	2	2	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	4	1	no	—
1670	C₄	—	4	1	no	—
1671	C₄	—	4	1	no	—
1672	C₄	—	4	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	C₂²×#41×C₃₁	1	1	yes	characteristic
1681	C₄	C₃₁×#585	1	1	yes	characteristic
1682	C₂	—	2	2	no	—
1683	C₂	—	4	1	no	—
1684	C₂	—	4	1	no	—
1685	C₂	—	8	1	no	—
1686	C₂	—	8	1	no	—
1687	C₂	—	8	1	no	—
1688	C₂	D₄×#41×C₃₁	1	1	yes	characteristic
1689	C₂	C₂×C₃₁×#575	1	1	yes	characteristic
1690	C₂	C₃₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₁ ◁ C₄×#41×C₃₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3482	C₂	semidirect
2. C₃₁×#3480	C₂	semidirect
3. C₃₁×#3401	C₂	semidirect
4. C₃₁×#3390	C₂	semidirect
5. C₃₁×#3377	C₂	semidirect
6. C₃₁×#3371	C₂	semidirect
7. C₃₁×#3349	C₂	semidirect
8. C₃₁×#3345	C₂	semidirect
9. C₃₁×#3337	C₂	semidirect
10. C₃₁×#3320	C₂	semidirect
11. C₃₁×#3317	C₂	semidirect
12. C₃₁×#3313	C₂	semidirect
13. C₃₁×#3308	C₂	semidirect
14. C₃₁×#3301	C₂	semidirect
15. C₃₁×#3300	C₂	semidirect
16. C₃₁×#3285	C₂	semidirect
17. C₃₁×#3271	C₂	semidirect
18. C₃₁×#3270	C₂	semidirect
19. C₃₁×#3183	C₂	semidirect
20. C₃₁×#3181	C₂	semidirect
21. C₃₁×#3180	C₂	semidirect
22. C₃₁×#3117	C₂	semidirect
23. C₃₁×#3117	C₂	semidirect
24. C₃₁×#3116	C₂	semidirect
25. C₃₁×#3112	C₂	semidirect
26. C₃₁×#3111	C₂	semidirect
27. C₃₁×#3111	C₂	semidirect
28. C₃₁×#2970	C₂	semidirect
29. C₄×C₃₁×#137	C₂	semidirect
30. C₃₁×#2943	C₂	semidirect
31. C₂×C₃₁×#441	C₂	semidirect
553. Q₁₆×C₃₁	#41	semidirect
689. #61458	C₃₁	direct (N × H)
792. #3482	C₂×C₃₁	semidirect
793. #3480	C₂×C₃₁	semidirect
794. #3401	C₂×C₃₁	semidirect
795. #3390	C₂×C₃₁	semidirect
796. #3377	C₂×C₃₁	semidirect
797. #3371	C₂×C₃₁	semidirect
798. #3349	C₂×C₃₁	semidirect
799. #3345	C₂×C₃₁	semidirect
800. #3337	C₂×C₃₁	semidirect
801. #3320	C₂×C₃₁	semidirect
802. #3317	C₂×C₃₁	semidirect
803. #3313	C₂×C₃₁	semidirect
804. #3308	C₂×C₃₁	semidirect
805. #3301	C₂×C₃₁	semidirect
806. #3300	C₂×C₃₁	semidirect
807. #3285	C₂×C₃₁	semidirect
808. #3271	C₂×C₃₁	semidirect
809. #3270	C₂×C₃₁	semidirect
810. #3183	C₂×C₃₁	semidirect
811. #3181	C₂×C₃₁	semidirect
812. #3180	C₂×C₃₁	semidirect
813. #3117	C₂×C₃₁	semidirect
814. #3117	C₂×C₃₁	semidirect
815. #3116	C₂×C₃₁	semidirect
816. #3112	C₂×C₃₁	semidirect
817. #3111	C₂×C₃₁	semidirect
818. #3111	C₂×C₃₁	semidirect
819. #2970	C₂×C₃₁	semidirect
820. C₄×#137	C₂×C₃₁	semidirect
821. #2943	C₂×C₃₁	semidirect
822. C₂×#441	C₂×C₃₁	semidirect
1326. C₃₁	#61458	direct (N × H)
1399. Q₁₆	#41×C₃₁	semidirect

Maximal subgroups

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

subgroup	index
C₃₁×#3482	2
C₃₁×#3480	2
C₃₁×#3401	2
C₃₁×#3390	2
C₃₁×#3377	2
C₃₁×#3371	2
C₃₁×#3349	2
C₃₁×#3345	2
C₃₁×#3337	2
C₃₁×#3320	2
C₃₁×#3317	2
C₃₁×#3313	2
C₃₁×#3308	2
C₃₁×#3301	2
C₃₁×#3300	2
C₃₁×#3285	2
C₃₁×#3271	2
C₃₁×#3270	2
C₃₁×#3183	2
C₃₁×#3181	2
C₃₁×#3180	2
C₃₁×#3117	2
C₃₁×#3116	2
C₃₁×#3112	2
C₃₁×#3111	2
C₃₁×#2970	2
C₄×C₃₁×#137	2
C₃₁×#2943	2
C₂×C₃₁×#441	2
#61458	31

Subgroups — C31×#61458 #21518217

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61458 #21518217