Subgroups — C₃₁×#61867 #21518626

Order 7936.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3557	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3504	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3390	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3389	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3388	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3388	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3383	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3381	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3381	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3380	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3377	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3376	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3371	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3365	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3364	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3361	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3360	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3244	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3243	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3242	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3241	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3232	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3232	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3124	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#3119	C₂	1	1	yes	maximal, characteristic
29	C₃₁×#3102	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃₁×#3102	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃₁×#2986	C₂	1	1	yes	maximal, characteristic, complemented
32	C₃₁×#563	—	2	1	no	—
33	C₃₁×#563	—	2	1	no	—
34	C₃₁×#559	C₂²	1	1	yes	characteristic
35	C₃₁×#559	C₂²	1	1	yes	characteristic
36	C₃₁×#557	C₂²	1	1	yes	characteristic
37	C₃₁×#557	C₂²	1	1	yes	characteristic
38	C₃₁×#557	C₂²	1	1	yes	characteristic
39	C₃₁×#557	C₂²	1	1	yes	characteristic
40	C₃₁×#557	C₂²	1	1	yes	characteristic
41	C₃₁×#557	C₂²	1	1	yes	characteristic
42	C₃₁×#556	C₂²	1	1	yes	characteristic
43	C₃₁×#556	C₂²	1	1	yes	characteristic
44	C₃₁×#554	—	2	1	no	—
45	C₃₁×#554	—	2	1	no	—
46	C₃₁×#554	—	2	1	no	—
47	C₃₁×#554	—	2	1	no	—
48	C₃₁×#554	C₂²	1	1	yes	characteristic
49	C₃₁×#554	C₂²	1	1	yes	characteristic
50	C₃₁×#554	C₂²	1	1	yes	characteristic
51	C₃₁×#554	C₂²	1	1	yes	characteristic
52	C₃₁×#554	C₂²	1	1	yes	characteristic
53	C₃₁×#554	C₂²	1	1	yes	characteristic
54	C₃₁×#552	—	2	1	no	—
55	C₃₁×#552	—	2	1	no	—
56	C₃₁×#544	—	2	1	no	—
57	C₃₁×#544	—	2	1	no	—
58	C₃₁×#544	C₂²	1	1	yes	characteristic
59	C₃₁×#544	C₂²	1	1	yes	characteristic
60	C₃₁×#542	—	2	1	no	—
61	C₃₁×#542	—	2	1	no	—
62	C₃₁×#542	C₂²	1	1	yes	characteristic
63	C₃₁×#542	C₂²	1	1	yes	characteristic
64	C₃₁×#541	C₂²	1	1	yes	characteristic
65	C₃₁×#540	C₂²	1	1	yes	characteristic
66	C₃₁×#539	—	2	1	no	—
67	C₃₁×#539	—	2	1	no	—
68	C₃₁×#533	—	2	1	no	—
69	C₃₁×#533	C₂²	1	1	yes	characteristic
70	C₃₁×#529	C₂²	1	1	yes	characteristic
71	C₃₁×#529	C₂²	1	1	yes	characteristic
72	C₂×C₃₁×#125	—	2	1	no	—
73	C₂×C₃₁×#125	C₂²	1	1	yes	characteristic
74	C₃₁×#520	C₂²	1	1	yes	characteristic
75	C₃₁×#520	C₂²	1	1	yes	characteristic
76	C₄×#41×C₃₁	C₂²	1	1	yes	characteristic
77	C₃₁×#501	C₂²	1	1	yes	characteristic
78	C₃₁×#501	C₂²	1	1	yes	characteristic
79	C₃₁×#501	C₂²	1	1	yes	characteristic
80	C₃₁×#501	C₂²	1	1	yes	characteristic
81	C₃₁×#500	C₂²	1	1	yes	characteristic
82	C₃₁×#499	C₂²	1	1	yes	characteristic
83	C₃₁×#499	C₂²	1	1	yes	characteristic
84	C₃₁×#499	C₂²	1	1	yes	characteristic
85	C₃₁×#499	C₂²	1	1	yes	characteristic
86	C₃₁×#499	C₂²	1	1	yes	characteristic
87	C₃₁×#499	C₂²	1	1	yes	characteristic
88	C₃₁×#498	C₂²	1	1	yes	characteristic
89	C₃₁×#491	C₂²	1	1	yes	characteristic
90	C₃₁×#490	C₂²	1	1	yes	characteristic
91	C₃₁×#489	C₂²	1	1	yes	characteristic
92	C₃₁×#489	C₂²	1	1	yes	characteristic
93	C₃₁×#488	C₂²	1	1	yes	characteristic
94	C₃₁×#488	C₂²	1	1	yes	characteristic
95	C₃₁×#488	C₂²	1	1	yes	characteristic
96	C₃₁×#488	C₂²	1	1	yes	characteristic
97	C₃₁×#488	C₂²	1	1	yes	characteristic
98	C₃₁×#488	C₂²	1	1	yes	characteristic
99	C₃₁×#487	C₂²	1	1	yes	characteristic
100	C₃₁×#486	C₂²	1	1	yes	characteristic
101	C₃₁×#485	C₂²	1	1	yes	characteristic
102	C₃₁×#485	C₂²	1	1	yes	characteristic
103	C₃₁×#484	C₂²	1	1	yes	characteristic
104	C₃₁×#484	C₂²	1	1	yes	characteristic
105	C₃₁×#483	C₂²	1	1	yes	characteristic
106	C₃₁×#483	C₂²	1	1	yes	characteristic
107	C₃₁×#482	C₂²	1	1	yes	characteristic
108	C₃₁×#482	C₂²	1	1	yes	characteristic
109	C₃₁×#481	C₂²	1	1	yes	characteristic
110	C₃₁×#481	C₂²	1	1	yes	characteristic
111	C₃₁×#480	C₂²	1	1	yes	characteristic
112	C₃₁×#480	C₂²	1	1	yes	characteristic
113	C₃₁×#479	C₂²	1	1	yes	characteristic
114	C₃₁×#479	C₂²	1	1	yes	characteristic
115	C₃₁×#479	C₂²	1	1	yes	characteristic
116	C₃₁×#479	C₂²	1	1	yes	characteristic
117	C₃₁×#479	C₂²	1	1	yes	characteristic
118	C₃₁×#479	C₂²	1	1	yes	characteristic
119	C₃₁×#479	C₂²	1	1	yes	characteristic
120	C₃₁×#479	C₂²	1	1	yes	characteristic
121	C₃₁×#479	C₂²	1	1	yes	characteristic
122	C₃₁×#479	C₂²	1	1	yes	characteristic
123	C₃₁×#479	C₂²	1	1	yes	characteristic
124	C₃₁×#479	C₂²	1	1	yes	characteristic
125	C₃₁×#478	C₂²	1	1	yes	characteristic
126	C₃₁×#478	C₂²	1	1	yes	characteristic
127	C₃₁×#478	C₂²	1	1	yes	characteristic
128	C₃₁×#478	C₂²	1	1	yes	characteristic
129	C₃₁×#478	C₂²	1	1	yes	characteristic
130	C₃₁×#478	C₂²	1	1	yes	characteristic
131	C₃₁×#478	C₂²	1	1	yes	characteristic
132	C₃₁×#478	C₂²	1	1	yes	characteristic
133	C₃₁×#478	C₂²	1	1	yes	characteristic
134	C₃₁×#478	C₂²	1	1	yes	characteristic
135	C₃₁×#478	C₂²	1	1	yes	characteristic
136	C₃₁×#478	C₂²	1	1	yes	characteristic
137	C₃₁×#477	C₂²	1	1	yes	characteristic
138	C₃₁×#477	C₂²	1	1	yes	characteristic
139	C₃₁×#477	C₂²	1	1	yes	characteristic
140	C₃₁×#476	C₂²	1	1	yes	characteristic
141	C₃₁×#476	C₂²	1	1	yes	characteristic
142	C₃₁×#476	C₂²	1	1	yes	characteristic
143	C₃₁×#475	C₂²	1	1	yes	characteristic
144	C₃₁×#475	C₂²	1	1	yes	characteristic
145	C₃₁×#475	C₂²	1	1	yes	characteristic
146	C₃₁×#474	C₂²	1	1	yes	characteristic
147	C₃₁×#474	C₂²	1	1	yes	characteristic
148	C₃₁×#474	C₂²	1	1	yes	characteristic
149	C₃₁×#464	C₂²	1	1	yes	characteristic
150	C₃₁×#464	C₂²	1	1	yes	characteristic
151	C₃₁×#464	C₂²	1	1	yes	characteristic
152	C₃₁×#464	C₂²	1	1	yes	characteristic
153	C₃₁×#463	C₂²	1	1	yes	characteristic
154	C₃₁×#463	C₂²	1	1	yes	characteristic
155	C₃₁×#463	C₂²	1	1	yes	characteristic
156	C₃₁×#463	C₂²	1	1	yes	characteristic
157	C₃₁×#462	C₂²	1	1	yes	characteristic
158	C₃₁×#461	C₂²	1	1	yes	characteristic
159	C₃₁×#460	C₂²	1	1	yes	characteristic
160	C₃₁×#459	C₂²	1	1	yes	characteristic
161	C₃₁×#452	C₂²	1	1	yes	characteristic
162	C₃₁×#452	C₂²	1	1	yes	characteristic
163	C₃₁×#449	C₂²	1	1	yes	characteristic
164	C₃₁×#449	C₂²	1	1	yes	characteristic
165	C₃₁×#446	C₂²	1	1	yes	characteristic
166	C₃₁×#446	C₂²	1	1	yes	characteristic
167	C₃₁×#446	C₂²	1	1	yes	characteristic
168	C₃₁×#446	C₂²	1	1	yes	characteristic
169	C₈×Q₈×C₃₁	C₂²	1	1	yes	characteristic
170	C₈×Q₈×C₃₁	C₂²	1	1	yes	characteristic
171	C₈×Q₈×C₃₁	C₂²	1	1	yes	characteristic
172	C₈×Q₈×C₃₁	C₂²	1	1	yes	characteristic
173	C₃₁×#442	C₂²	1	1	yes	characteristic
174	C₃₁×#442	C₂²	1	1	yes	characteristic
175	C₃₁×#441	C₂²	1	1	yes	characteristic
176	C₃₁×#441	C₂²	1	1	yes	characteristic
177	C₃₁×#440	C₂²	1	1	yes	characteristic
178	C₃₁×#440	C₂²	1	1	yes	characteristic
179	C₃₁×#440	C₂²	1	1	yes	characteristic
180	C₃₁×#440	C₂²	1	1	yes	characteristic
181	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
182	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
183	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
184	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
185	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
186	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
187	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
188	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
189	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
190	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
191	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
192	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
193	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic
194	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic
195	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic
196	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic
197	C₃₁×#433	C₂²	1	1	yes	characteristic
198	C₃₁×#433	C₂²	1	1	yes	characteristic
199	C₃₁×#433	C₂²	1	1	yes	characteristic
200	C₃₁×#433	C₂²	1	1	yes	characteristic
201	C₃₁×#431	C₂²	1	1	yes	characteristic
202	C₃₁×#431	C₂²	1	1	yes	characteristic
203	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
204	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
205	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
206	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
207	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
208	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
209	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
210	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
211	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
212	C₃₁×C₄⋊Q₈	—	2	1	no	—
213	C₃₁×C₄⋊Q₈	—	2	1	no	—
214	C₃₁×C₄⋊Q₈	—	2	1	no	—
215	C₃₁×C₄⋊Q₈	—	2	1	no	—
216	C₃₁×C₄⋊Q₈	—	2	1	no	—
217	C₃₁×C₄⋊Q₈	—	2	1	no	—
218	C₃₁×C₄⋊Q₈	—	2	1	no	—
219	C₃₁×C₄⋊Q₈	—	2	1	no	—
220	C₃₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
221	C₃₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
222	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
224	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
227	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
228	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
229	C₃₁×#127	C₂³	1	1	yes	characteristic
230	C₃₁×#126	—	2	1	no	—
231	C₃₁×#126	—	2	1	no	—
232	C₃₁×#126	—	2	1	no	—
233	C₃₁×#126	—	2	1	no	—
234	C₃₁×#126	—	2	1	no	—
235	C₃₁×#126	—	2	1	no	—
236	C₃₁×#126	—	2	1	no	—
237	C₃₁×#126	—	2	1	no	—
238	C₃₁×#126	—	2	1	no	—
239	C₃₁×#126	—	2	1	no	—
240	C₃₁×#125	—	2	1	no	—
241	C₃₁×#125	—	2	1	no	—
242	C₃₁×#125	—	2	1	no	—
243	C₃₁×#125	—	2	1	no	—
244	C₃₁×#125	—	2	1	no	—
245	C₃₁×#125	—	2	1	no	—
246	C₃₁×#125	—	2	1	no	—
247	C₃₁×#125	—	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	—	2	1	no	—
257	C₃₁×#125	—	2	1	no	—
258	C₃₁×#125	D₄	1	1	yes	characteristic
259	C₃₁×#125	D₄	1	1	yes	characteristic
260	C₃₁×#125	C₂³	1	1	yes	characteristic
261	C₃₁×#125	C₂³	1	1	yes	characteristic
262	C₃₁×#125	C₂³	1	1	yes	characteristic
263	C₃₁×#125	C₂³	1	1	yes	characteristic
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×#125	C₂³	1	1	yes	characteristic
269	C₃₁×#125	C₂³	1	1	yes	characteristic
270	C₃₁×#125	C₂³	1	1	yes	characteristic
271	C₃₁×#125	C₂³	1	1	yes	characteristic
272	C₃₁×#124	—	2	1	no	—
273	C₃₁×#124	—	2	1	no	—
274	C₃₁×#124	—	2	1	no	—
275	C₃₁×#124	—	2	1	no	—
276	C₃₁×#124	C₂³	1	1	yes	characteristic
277	C₃₁×#124	C₂³	1	1	yes	characteristic
278	C₃₁×#124	C₂³	1	1	yes	characteristic
279	C₃₁×#124	C₂³	1	1	yes	characteristic
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×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	—	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	—	2	1	no	—
301	C₃₁×C₂²⋊Q₈	—	2	1	no	—
302	C₃₁×C₂²⋊Q₈	—	2	1	no	—
303	C₃₁×C₂²⋊Q₈	—	2	1	no	—
304	C₃₁×C₂²⋊Q₈	—	2	1	no	—
305	C₃₁×C₂²⋊Q₈	—	2	1	no	—
306	C₃₁×C₂²⋊Q₈	—	2	1	no	—
307	C₃₁×C₂²⋊Q₈	—	2	1	no	—
308	C₃₁×C₂²⋊Q₈	—	2	1	no	—
309	C₃₁×C₂²⋊Q₈	—	2	1	no	—
310	C₃₁×C₂²⋊Q₈	—	2	1	no	—
311	C₃₁×C₂²⋊Q₈	—	2	1	no	—
312	C₃₁×C₂²⋊Q₈	—	2	1	no	—
313	C₃₁×C₂²⋊Q₈	—	2	1	no	—
314	C₃₁×C₂²⋊Q₈	—	2	1	no	—
315	C₃₁×C₂²⋊Q₈	—	2	1	no	—
316	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
317	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
318	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
319	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
320	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
321	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
322	C₃₁×#121	—	2	1	no	—
323	C₃₁×#121	—	2	1	no	—
324	C₃₁×#121	C₂³	1	1	yes	characteristic
325	C₃₁×#121	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
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×Q₈×C₃₁	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
359	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
360	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
361	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
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	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
378	C₃₁×#117	C₂³	1	1	yes	characteristic
379	C₃₁×#117	C₂³	1	1	yes	characteristic
380	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
381	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
382	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
383	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
384	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
385	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
386	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
387	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
388	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
389	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
390	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
392	C₂×C₄²×C₃₁	—	2	1	no	—
393	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
394	C₃₁×#107	C₂³	1	1	yes	characteristic
395	C₃₁×#107	C₂³	1	1	yes	characteristic
396	C₃₁×#107	C₂³	1	1	yes	characteristic
397	C₃₁×#107	C₂³	1	1	yes	characteristic
398	C₃₁×#107	C₂³	1	1	yes	characteristic
399	C₃₁×#107	C₂³	1	1	yes	characteristic
400	C₃₁×#107	C₂³	1	1	yes	characteristic
401	C₃₁×#107	C₂³	1	1	yes	characteristic
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×#106	C₂³	1	1	yes	characteristic
407	C₃₁×#106	C₂³	1	1	yes	characteristic
408	C₃₁×#106	C₂³	1	1	yes	characteristic
409	C₃₁×#106	C₂³	1	1	yes	characteristic
410	C₃₁×#106	C₂³	1	1	yes	characteristic
411	C₃₁×#106	C₂³	1	1	yes	characteristic
412	C₃₁×#106	C₂³	1	1	yes	characteristic
413	C₃₁×#106	C₂³	1	1	yes	characteristic
414	C₃₁×#106	C₂³	1	1	yes	characteristic
415	C₃₁×#106	C₂³	1	1	yes	characteristic
416	C₃₁×#106	C₂³	1	1	yes	characteristic
417	C₃₁×#106	C₂³	1	1	yes	characteristic
418	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
419	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
420	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
421	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
422	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₃₁×C₄⋊C₈	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×#103	C₂³	1	1	yes	characteristic
445	C₃₁×#103	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×#97	C₂³	1	1	yes	characteristic
467	C₃₁×#97	C₂³	1	1	yes	characteristic
468	C₃₁×#97	C₂³	1	1	yes	characteristic
469	C₃₁×#97	C₂³	1	1	yes	characteristic
470	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
471	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
472	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
473	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
478	#41×C₃₁	—	2	2	no	—
479	#41×C₃₁	—	2	2	no	—
480	C₂×Q₈×C₃₁	—	2	1	no	—
481	C₂×Q₈×C₃₁	—	2	1	no	—
482	C₂×Q₈×C₃₁	—	2	1	no	—
483	C₂×Q₈×C₃₁	—	2	1	no	—
484	C₂×Q₈×C₃₁	—	2	1	no	—
485	C₂×Q₈×C₃₁	—	2	1	no	—
486	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
487	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
488	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
489	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
490	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
491	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
492	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
493	C₂×D₄×C₃₁	—	2	1	no	—
494	C₂×D₄×C₃₁	—	2	1	no	—
495	C₂×D₄×C₃₁	—	2	1	no	—
496	C₂×D₄×C₃₁	—	2	1	no	—
497	C₂×D₄×C₃₁	—	2	1	no	—
498	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
499	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
501	C₂²×C₄×C₃₁	—	2	1	no	—
502	C₂²×C₄×C₃₁	—	2	1	no	—
503	C₂²×C₄×C₃₁	—	2	1	no	—
504	C₂²×C₄×C₃₁	—	2	1	no	—
505	C₂²×C₄×C₃₁	—	2	1	no	—
506	C₂²×C₄×C₃₁	—	2	1	no	—
507	C₂²×C₄×C₃₁	—	2	1	no	—
508	C₂²×C₄×C₃₁	—	2	1	no	—
509	C₂²×C₄×C₃₁	—	2	1	no	—
510	C₂²×C₄×C₃₁	—	2	1	no	—
511	C₂²×C₄×C₃₁	—	2	1	no	—
512	C₂²×C₄×C₃₁	—	2	1	no	—
513	C₂²×C₄×C₃₁	—	2	1	no	—
514	C₂²×C₄×C₃₁	—	2	1	no	—
515	C₂²×C₄×C₃₁	—	2	1	no	—
516	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
517	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
518	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
519	Q₁₆×C₃₁	—	2	2	no	—
520	Q₁₆×C₃₁	—	2	2	no	—
521	SD₁₆×C₃₁	—	2	2	no	—
522	SD₁₆×C₃₁	—	2	2	no	—
523	SD₁₆×C₃₁	—	2	2	no	—
524	SD₁₆×C₃₁	—	2	2	no	—
525	D₈×C₃₁	—	2	2	no	—
526	D₈×C₃₁	—	2	2	no	—
527	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
528	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
529	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
530	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
531	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
532	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
533	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
534	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
535	C₄⋊C₄×C₃₁	—	2	1	no	—
536	C₄⋊C₄×C₃₁	—	2	1	no	—
537	C₄⋊C₄×C₃₁	—	2	1	no	—
538	C₄⋊C₄×C₃₁	—	2	1	no	—
539	C₄⋊C₄×C₃₁	—	2	1	no	—
540	C₄⋊C₄×C₃₁	—	2	1	no	—
541	C₄⋊C₄×C₃₁	—	2	1	no	—
542	C₄⋊C₄×C₃₁	—	2	1	no	—
543	C₄⋊C₄×C₃₁	—	2	1	no	—
544	C₄⋊C₄×C₃₁	—	2	1	no	—
545	C₄⋊C₄×C₃₁	—	2	1	no	—
546	C₄⋊C₄×C₃₁	—	2	1	no	—
547	C₄⋊C₄×C₃₁	—	2	1	no	—
548	C₄⋊C₄×C₃₁	—	2	1	no	—
549	C₄⋊C₄×C₃₁	—	2	1	no	—
550	C₄⋊C₄×C₃₁	—	2	1	no	—
551	C₄⋊C₄×C₃₁	—	2	1	no	—
552	C₄⋊C₄×C₃₁	—	2	1	no	—
553	C₄⋊C₄×C₃₁	—	2	1	no	—
554	C₄⋊C₄×C₃₁	—	2	1	no	—
555	C₄⋊C₄×C₃₁	—	2	1	no	—
556	C₄⋊C₄×C₃₁	—	2	1	no	—
557	C₄⋊C₄×C₃₁	—	2	1	no	—
558	C₄⋊C₄×C₃₁	—	2	1	no	—
559	C₄⋊C₄×C₃₁	—	2	1	no	—
560	C₄⋊C₄×C₃₁	—	2	1	no	—
561	C₄⋊C₄×C₃₁	—	2	1	no	—
562	C₄⋊C₄×C₃₁	—	2	1	no	—
563	C₄⋊C₄×C₃₁	—	2	1	no	—
564	C₄⋊C₄×C₃₁	—	2	1	no	—
565	C₄⋊C₄×C₃₁	—	2	1	no	—
566	C₄⋊C₄×C₃₁	—	2	1	no	—
567	C₄⋊C₄×C₃₁	—	2	1	no	—
568	C₄⋊C₄×C₃₁	—	2	1	no	—
569	C₄⋊C₄×C₃₁	—	2	1	no	—
570	C₄⋊C₄×C₃₁	—	2	1	no	—
571	C₄⋊C₄×C₃₁	—	2	1	no	—
572	C₄⋊C₄×C₃₁	—	2	1	no	—
573	C₄⋊C₄×C₃₁	—	2	1	no	—
574	C₄⋊C₄×C₃₁	—	2	1	no	—
575	C₄⋊C₄×C₃₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
584	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
585	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
586	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
587	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
588	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
589	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
590	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
591	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
592	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
593	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
594	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
595	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
596	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
597	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
598	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
599	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
600	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
601	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
602	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
603	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
604	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
605	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
606	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
607	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
608	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
609	C₂²⋊C₄×C₃₁	—	2	1	no	—
610	C₂²⋊C₄×C₃₁	—	2	1	no	—
611	C₂²⋊C₄×C₃₁	—	2	1	no	—
612	C₂²⋊C₄×C₃₁	—	2	1	no	—
613	C₂²⋊C₄×C₃₁	—	2	1	no	—
614	C₂²⋊C₄×C₃₁	—	2	1	no	—
615	C₂²⋊C₄×C₃₁	—	2	1	no	—
616	C₂²⋊C₄×C₃₁	—	2	1	no	—
617	C₂²⋊C₄×C₃₁	—	2	1	no	—
618	C₂²⋊C₄×C₃₁	—	2	1	no	—
619	C₂²⋊C₄×C₃₁	—	2	1	no	—
620	C₂²⋊C₄×C₃₁	—	2	1	no	—
621	C₂²⋊C₄×C₃₁	—	2	1	no	—
622	C₂²⋊C₄×C₃₁	—	2	1	no	—
623	C₂²⋊C₄×C₃₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
635	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
636	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
637	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
638	C₄²×C₃₁	—	2	1	no	—
639	C₄²×C₃₁	—	2	1	no	—
640	C₄²×C₃₁	—	2	1	no	—
641	C₄²×C₃₁	—	2	1	no	—
642	C₄²×C₃₁	—	2	1	no	—
643	C₄²×C₃₁	—	2	1	no	—
644	C₄²×C₃₁	—	2	1	no	—
645	C₄²×C₃₁	—	2	1	no	—
646	C₄²×C₃₁	—	2	1	no	—
647	C₄²×C₃₁	—	2	1	no	—
648	C₄²×C₃₁	—	2	1	no	—
649	C₄²×C₃₁	—	2	1	no	—
650	C₄²×C₃₁	—	2	1	no	—
651	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
652	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
653	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
654	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
655	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
656	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
657	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
658	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
659	#61867	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
660	C₂³×C₃₁	—	2	1	no	—
661	C₂³×C₃₁	—	2	1	no	—
662	C₂³×C₃₁	—	2	1	no	—
663	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
664	Q₈×C₃₁	—	2	1	no	—
665	Q₈×C₃₁	—	2	1	no	—
666	Q₈×C₃₁	—	2	1	no	—
667	Q₈×C₃₁	—	2	1	no	—
668	Q₈×C₃₁	—	2	1	no	—
669	Q₈×C₃₁	—	4	1	no	—
670	Q₈×C₃₁	—	4	1	no	—
671	Q₈×C₃₁	—	4	1	no	—
672	Q₈×C₃₁	—	4	1	no	—
673	Q₈×C₃₁	—	8	1	no	—
674	Q₈×C₃₁	—	8	1	no	—
675	Q₈×C₃₁	—	8	1	no	—
676	Q₈×C₃₁	—	8	1	no	—
677	Q₈×C₃₁	—	8	1	no	—
678	Q₈×C₃₁	—	8	1	no	—
679	Q₈×C₃₁	2₋¹⁺⁴	1	2	yes	—
680	D₄×C₃₁	—	2	4	no	—
681	D₄×C₃₁	—	2	1	no	—
682	D₄×C₃₁	—	2	1	no	—
683	D₄×C₃₁	—	2	1	no	—
684	D₄×C₃₁	—	2	1	no	—
685	D₄×C₃₁	—	2	1	no	—
686	D₄×C₃₁	—	8	1	no	—
687	D₄×C₃₁	—	8	1	no	—
688	D₄×C₃₁	—	8	1	no	—
689	D₄×C₃₁	—	8	1	no	—
690	D₄×C₃₁	2₋¹⁺⁴	1	2	yes	—
691	C₂×C₄×C₃₁	—	2	4	no	—
692	C₂×C₄×C₃₁	—	2	1	no	—
693	C₂×C₄×C₃₁	—	2	1	no	—
694	C₂×C₄×C₃₁	—	2	1	no	—
695	C₂×C₄×C₃₁	—	2	1	no	—
696	C₂×C₄×C₃₁	—	2	1	no	—
697	C₂×C₄×C₃₁	—	2	1	no	—
698	C₂×C₄×C₃₁	—	2	1	no	—
699	C₂×C₄×C₃₁	—	2	1	no	—
700	C₂×C₄×C₃₁	—	2	1	no	—
701	C₂×C₄×C₃₁	—	2	1	no	—
702	C₂×C₄×C₃₁	—	2	1	no	—
703	C₂×C₄×C₃₁	—	2	1	no	—
704	C₂×C₄×C₃₁	—	2	1	no	—
705	C₂×C₄×C₃₁	—	2	1	no	—
706	C₂×C₄×C₃₁	—	2	1	no	—
707	C₂×C₄×C₃₁	—	4	1	no	—
708	C₂×C₄×C₃₁	—	4	1	no	—
709	C₂×C₄×C₃₁	—	8	1	no	—
710	C₂×C₄×C₃₁	—	8	1	no	—
711	C₂×C₄×C₃₁	—	8	1	no	—
712	C₂×C₄×C₃₁	—	8	1	no	—
713	C₂×C₄×C₃₁	—	8	1	no	—
714	C₂×C₄×C₃₁	—	8	1	no	—
715	C₂×C₄×C₃₁	—	8	1	no	—
716	C₂×C₄×C₃₁	—	8	1	no	—
717	C₂×C₄×C₃₁	—	8	1	no	—
718	C₂×C₄×C₃₁	—	8	1	no	—
719	C₂×C₄×C₃₁	—	8	1	no	—
720	C₂×C₄×C₃₁	—	8	1	no	—
721	C₂×C₄×C₃₁	—	8	1	no	—
722	C₂×C₄×C₃₁	—	8	1	no	—
723	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
724	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
725	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
726	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
727	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
728	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
729	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
730	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
731	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
732	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
733	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
734	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
735	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
736	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
737	C₈×C₃₁	—	2	1	no	—
738	C₈×C₃₁	—	2	1	no	—
739	C₈×C₃₁	—	2	1	no	—
740	C₈×C₃₁	—	2	1	no	—
741	C₈×C₃₁	—	2	1	no	—
742	C₈×C₃₁	—	2	1	no	—
743	C₈×C₃₁	—	2	1	no	—
744	C₈×C₃₁	—	2	1	no	—
745	#3557	C₂×C₃₁	1	1	yes	characteristic, complemented
746	#3504	C₂×C₃₁	1	1	yes	characteristic, complemented
747	#3390	C₂×C₃₁	1	1	yes	characteristic, complemented
748	#3389	C₂×C₃₁	1	1	yes	characteristic, complemented
749	#3388	C₂×C₃₁	1	1	yes	characteristic, complemented
750	#3388	C₂×C₃₁	1	1	yes	characteristic, complemented
751	#3383	C₂×C₃₁	1	1	yes	characteristic, complemented
752	#3381	C₂×C₃₁	1	1	yes	characteristic, complemented
753	#3381	C₂×C₃₁	1	1	yes	characteristic, complemented
754	#3380	C₂×C₃₁	1	1	yes	characteristic, complemented
755	#3377	C₂×C₃₁	1	1	yes	characteristic, complemented
756	#3376	C₂×C₃₁	1	1	yes	characteristic, complemented
757	#3371	C₂×C₃₁	1	1	yes	characteristic, complemented
758	#3370	C₂×C₃₁	1	1	yes	characteristic, complemented
759	#3365	C₂×C₃₁	1	1	yes	characteristic, complemented
760	#3364	C₂×C₃₁	1	1	yes	characteristic, complemented
761	#3361	C₂×C₃₁	1	1	yes	characteristic, complemented
762	#3360	C₂×C₃₁	1	1	yes	characteristic, complemented
763	#3244	C₂×C₃₁	1	1	yes	characteristic, complemented
764	#3243	C₂×C₃₁	1	1	yes	characteristic, complemented
765	#3242	C₂×C₃₁	1	1	yes	characteristic, complemented
766	#3241	C₂×C₃₁	1	1	yes	characteristic, complemented
767	#3232	C₂×C₃₁	1	1	yes	characteristic, complemented
768	#3232	C₂×C₃₁	1	1	yes	characteristic, complemented
769	#3125	C₂×C₃₁	1	1	yes	characteristic, complemented
770	#3124	C₂×C₃₁	1	1	yes	characteristic, complemented
771	#3120	C₂×C₃₁	1	1	yes	characteristic, complemented
772	#3119	C₂×C₃₁	1	1	yes	characteristic
773	#3102	C₂×C₃₁	1	1	yes	characteristic, complemented
774	#3102	C₂×C₃₁	1	1	yes	characteristic, complemented
775	#2986	C₂×C₃₁	1	1	yes	characteristic, complemented
776	C₂²×C₃₁	—	2	1	no	—
777	C₂²×C₃₁	—	2	1	no	—
778	C₂²×C₃₁	—	2	1	no	—
779	C₂²×C₃₁	—	2	2	no	—
780	C₂²×C₃₁	—	4	1	no	—
781	C₂²×C₃₁	—	4	1	no	—
782	C₂²×C₃₁	—	4	1	no	—
783	C₂²×C₃₁	—	4	1	no	—
784	C₂²×C₃₁	—	4	1	no	—
785	C₂²×C₃₁	—	4	1	no	—
786	C₂²×C₃₁	—	4	1	no	—
787	C₂²×C₃₁	—	4	1	no	—
788	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
789	C₄×C₃₁	—	2	1	no	—
790	C₄×C₃₁	—	2	1	no	—
791	C₄×C₃₁	—	2	1	no	—
792	C₄×C₃₁	—	2	1	no	—
793	C₄×C₃₁	—	2	1	no	—
794	C₄×C₃₁	—	2	1	no	—
795	C₄×C₃₁	—	2	1	no	—
796	C₄×C₃₁	—	2	1	no	—
797	C₄×C₃₁	—	2	1	no	—
798	C₄×C₃₁	—	2	1	no	—
799	C₄×C₃₁	—	2	1	no	—
800	C₄×C₃₁	—	2	1	no	—
801	C₄×C₃₁	—	2	1	no	—
802	C₄×C₃₁	—	2	2	no	—
803	C₄×C₃₁	—	4	1	no	—
804	C₄×C₃₁	—	4	1	no	—
805	C₄×C₃₁	—	4	1	no	—
806	C₄×C₃₁	—	4	1	no	—
807	C₄×C₃₁	—	4	1	no	—
808	C₄×C₃₁	—	4	1	no	—
809	C₄×C₃₁	—	4	1	no	—
810	C₄×C₃₁	—	4	1	no	—
811	C₄×C₃₁	—	4	1	no	—
812	C₄×C₃₁	—	4	1	no	—
813	C₄×C₃₁	—	4	1	no	—
814	C₄×C₃₁	—	4	1	no	—
815	C₄×C₃₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
816	C₄×C₃₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
817	#563	—	2	1	no	—
818	#563	—	2	1	no	—
819	#559	C₂²×C₃₁	1	1	yes	characteristic
820	#559	C₂²×C₃₁	1	1	yes	characteristic
821	#557	C₂²×C₃₁	1	1	yes	characteristic
822	#557	C₂²×C₃₁	1	1	yes	characteristic
823	#557	C₂²×C₃₁	1	1	yes	characteristic
824	#557	C₂²×C₃₁	1	1	yes	characteristic
825	#557	C₂²×C₃₁	1	1	yes	characteristic
826	#557	C₂²×C₃₁	1	1	yes	characteristic
827	#556	C₂²×C₃₁	1	1	yes	characteristic
828	#556	C₂²×C₃₁	1	1	yes	characteristic
829	#554	—	2	1	no	—
830	#554	—	2	1	no	—
831	#554	—	2	1	no	—
832	#554	—	2	1	no	—
833	#554	C₂²×C₃₁	1	1	yes	characteristic
834	#554	C₂²×C₃₁	1	1	yes	characteristic
835	#554	C₂²×C₃₁	1	1	yes	characteristic
836	#554	C₂²×C₃₁	1	1	yes	characteristic
837	#554	C₂²×C₃₁	1	1	yes	characteristic
838	#554	C₂²×C₃₁	1	1	yes	characteristic
839	#552	—	2	1	no	—
840	#552	—	2	1	no	—
841	#544	—	2	1	no	—
842	#544	—	2	1	no	—
843	#544	C₂²×C₃₁	1	1	yes	characteristic
844	#544	C₂²×C₃₁	1	1	yes	characteristic
845	#542	—	2	1	no	—
846	#542	—	2	1	no	—
847	#542	C₂²×C₃₁	1	1	yes	characteristic
848	#542	C₂²×C₃₁	1	1	yes	characteristic
849	#541	C₂²×C₃₁	1	1	yes	characteristic
850	#540	C₂²×C₃₁	1	1	yes	characteristic
851	#539	—	2	1	no	—
852	#539	—	2	1	no	—
853	#533	—	2	1	no	—
854	#533	C₂²×C₃₁	1	1	yes	characteristic
855	#529	C₂²×C₃₁	1	1	yes	characteristic
856	#529	C₂²×C₃₁	1	1	yes	characteristic
857	C₂×#125	—	2	1	no	—
858	C₂×#125	C₂²×C₃₁	1	1	yes	characteristic
859	#520	C₂²×C₃₁	1	1	yes	characteristic
860	#520	C₂²×C₃₁	1	1	yes	characteristic
861	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic
862	#501	C₂²×C₃₁	1	1	yes	characteristic
863	#501	C₂²×C₃₁	1	1	yes	characteristic
864	#501	C₂²×C₃₁	1	1	yes	characteristic
865	#501	C₂²×C₃₁	1	1	yes	characteristic
866	#500	C₂²×C₃₁	1	1	yes	characteristic
867	#499	C₂²×C₃₁	1	1	yes	characteristic
868	#499	C₂²×C₃₁	1	1	yes	characteristic
869	#499	C₂²×C₃₁	1	1	yes	characteristic
870	#499	C₂²×C₃₁	1	1	yes	characteristic
871	#499	C₂²×C₃₁	1	1	yes	characteristic
872	#499	C₂²×C₃₁	1	1	yes	characteristic
873	#498	C₂²×C₃₁	1	1	yes	characteristic
874	#491	C₂²×C₃₁	1	1	yes	characteristic
875	#490	C₂²×C₃₁	1	1	yes	characteristic
876	#489	C₂²×C₃₁	1	1	yes	characteristic
877	#489	C₂²×C₃₁	1	1	yes	characteristic
878	#488	C₂²×C₃₁	1	1	yes	characteristic
879	#488	C₂²×C₃₁	1	1	yes	characteristic
880	#488	C₂²×C₃₁	1	1	yes	characteristic
881	#488	C₂²×C₃₁	1	1	yes	characteristic
882	#488	C₂²×C₃₁	1	1	yes	characteristic
883	#488	C₂²×C₃₁	1	1	yes	characteristic
884	#487	C₂²×C₃₁	1	1	yes	characteristic
885	#486	C₂²×C₃₁	1	1	yes	characteristic
886	#485	C₂²×C₃₁	1	1	yes	characteristic
887	#485	C₂²×C₃₁	1	1	yes	characteristic
888	#484	C₂²×C₃₁	1	1	yes	characteristic
889	#484	C₂²×C₃₁	1	1	yes	characteristic
890	#483	C₂²×C₃₁	1	1	yes	characteristic
891	#483	C₂²×C₃₁	1	1	yes	characteristic
892	#482	C₂²×C₃₁	1	1	yes	characteristic
893	#482	C₂²×C₃₁	1	1	yes	characteristic
894	#481	C₂²×C₃₁	1	1	yes	characteristic
895	#481	C₂²×C₃₁	1	1	yes	characteristic
896	#480	C₂²×C₃₁	1	1	yes	characteristic
897	#480	C₂²×C₃₁	1	1	yes	characteristic
898	#479	C₂²×C₃₁	1	1	yes	characteristic
899	#479	C₂²×C₃₁	1	1	yes	characteristic
900	#479	C₂²×C₃₁	1	1	yes	characteristic
901	#479	C₂²×C₃₁	1	1	yes	characteristic
902	#479	C₂²×C₃₁	1	1	yes	characteristic
903	#479	C₂²×C₃₁	1	1	yes	characteristic
904	#479	C₂²×C₃₁	1	1	yes	characteristic
905	#479	C₂²×C₃₁	1	1	yes	characteristic
906	#479	C₂²×C₃₁	1	1	yes	characteristic
907	#479	C₂²×C₃₁	1	1	yes	characteristic
908	#479	C₂²×C₃₁	1	1	yes	characteristic
909	#479	C₂²×C₃₁	1	1	yes	characteristic
910	#478	C₂²×C₃₁	1	1	yes	characteristic
911	#478	C₂²×C₃₁	1	1	yes	characteristic
912	#478	C₂²×C₃₁	1	1	yes	characteristic
913	#478	C₂²×C₃₁	1	1	yes	characteristic
914	#478	C₂²×C₃₁	1	1	yes	characteristic
915	#478	C₂²×C₃₁	1	1	yes	characteristic
916	#478	C₂²×C₃₁	1	1	yes	characteristic
917	#478	C₂²×C₃₁	1	1	yes	characteristic
918	#478	C₂²×C₃₁	1	1	yes	characteristic
919	#478	C₂²×C₃₁	1	1	yes	characteristic
920	#478	C₂²×C₃₁	1	1	yes	characteristic
921	#478	C₂²×C₃₁	1	1	yes	characteristic
922	#477	C₂²×C₃₁	1	1	yes	characteristic
923	#477	C₂²×C₃₁	1	1	yes	characteristic
924	#477	C₂²×C₃₁	1	1	yes	characteristic
925	#476	C₂²×C₃₁	1	1	yes	characteristic
926	#476	C₂²×C₃₁	1	1	yes	characteristic
927	#476	C₂²×C₃₁	1	1	yes	characteristic
928	#475	C₂²×C₃₁	1	1	yes	characteristic
929	#475	C₂²×C₃₁	1	1	yes	characteristic
930	#475	C₂²×C₃₁	1	1	yes	characteristic
931	#474	C₂²×C₃₁	1	1	yes	characteristic
932	#474	C₂²×C₃₁	1	1	yes	characteristic
933	#474	C₂²×C₃₁	1	1	yes	characteristic
934	#464	C₂²×C₃₁	1	1	yes	characteristic
935	#464	C₂²×C₃₁	1	1	yes	characteristic
936	#464	C₂²×C₃₁	1	1	yes	characteristic
937	#464	C₂²×C₃₁	1	1	yes	characteristic
938	#463	C₂²×C₃₁	1	1	yes	characteristic
939	#463	C₂²×C₃₁	1	1	yes	characteristic
940	#463	C₂²×C₃₁	1	1	yes	characteristic
941	#463	C₂²×C₃₁	1	1	yes	characteristic
942	#462	C₂²×C₃₁	1	1	yes	characteristic
943	#461	C₂²×C₃₁	1	1	yes	characteristic
944	#460	C₂²×C₃₁	1	1	yes	characteristic
945	#459	C₂²×C₃₁	1	1	yes	characteristic
946	#452	C₂²×C₃₁	1	1	yes	characteristic
947	#452	C₂²×C₃₁	1	1	yes	characteristic
948	#449	C₂²×C₃₁	1	1	yes	characteristic
949	#449	C₂²×C₃₁	1	1	yes	characteristic
950	#446	C₂²×C₃₁	1	1	yes	characteristic
951	#446	C₂²×C₃₁	1	1	yes	characteristic
952	#446	C₂²×C₃₁	1	1	yes	characteristic
953	#446	C₂²×C₃₁	1	1	yes	characteristic
954	C₈×Q₈	C₂²×C₃₁	1	1	yes	characteristic
955	C₈×Q₈	C₂²×C₃₁	1	1	yes	characteristic
956	C₈×Q₈	C₂²×C₃₁	1	1	yes	characteristic
957	C₈×Q₈	C₂²×C₃₁	1	1	yes	characteristic
958	#442	C₂²×C₃₁	1	1	yes	characteristic
959	#442	C₂²×C₃₁	1	1	yes	characteristic
960	#441	C₂²×C₃₁	1	1	yes	characteristic
961	#441	C₂²×C₃₁	1	1	yes	characteristic
962	#440	C₂²×C₃₁	1	1	yes	characteristic
963	#440	C₂²×C₃₁	1	1	yes	characteristic
964	#440	C₂²×C₃₁	1	1	yes	characteristic
965	#440	C₂²×C₃₁	1	1	yes	characteristic
966	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
967	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
968	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
969	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
970	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
971	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
972	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
973	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
974	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
975	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
976	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
977	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
978	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic
979	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic
980	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic
981	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic
982	#433	C₂²×C₃₁	1	1	yes	characteristic
983	#433	C₂²×C₃₁	1	1	yes	characteristic
984	#433	C₂²×C₃₁	1	1	yes	characteristic
985	#433	C₂²×C₃₁	1	1	yes	characteristic
986	#431	C₂²×C₃₁	1	1	yes	characteristic
987	#431	C₂²×C₃₁	1	1	yes	characteristic
988	C₂×C₃₁	—	4	1	no	—
989	C₂×C₃₁	—	4	2	no	—
990	C₂×C₃₁	—	8	1	no	—
991	C₂×C₃₁	—	8	1	no	—
992	C₂×C₃₁	#3486	1	1	yes	characteristic
993	C₂×C₃₁	#3584	1	1	yes	characteristic
994	C₂×C₃₁	#3584	1	1	yes	characteristic
995	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
996	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
997	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
998	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
999	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1000	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1001	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1002	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1003	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1004	C₄⋊Q₈	—	2	1	no	—
1005	C₄⋊Q₈	—	2	1	no	—
1006	C₄⋊Q₈	—	2	1	no	—
1007	C₄⋊Q₈	—	2	1	no	—
1008	C₄⋊Q₈	—	2	1	no	—
1009	C₄⋊Q₈	—	2	1	no	—
1010	C₄⋊Q₈	—	2	1	no	—
1011	C₄⋊Q₈	—	2	1	no	—
1012	C₄⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1013	C₄⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1014	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1015	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1016	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1017	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1018	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1019	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1020	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1021	#127	C₂³×C₃₁	1	1	yes	characteristic
1022	#126	—	2	1	no	—
1023	#126	—	2	1	no	—
1024	#126	—	2	1	no	—
1025	#126	—	2	1	no	—
1026	#126	—	2	1	no	—
1027	#126	—	2	1	no	—
1028	#126	—	2	1	no	—
1029	#126	—	2	1	no	—
1030	#126	—	2	1	no	—
1031	#126	—	2	1	no	—
1032	#125	—	2	1	no	—
1033	#125	—	2	1	no	—
1034	#125	—	2	1	no	—
1035	#125	—	2	1	no	—
1036	#125	—	2	1	no	—
1037	#125	—	2	1	no	—
1038	#125	—	2	1	no	—
1039	#125	—	2	1	no	—
1040	#125	—	2	1	no	—
1041	#125	—	2	1	no	—
1042	#125	—	2	1	no	—
1043	#125	—	2	1	no	—
1044	#125	—	2	1	no	—
1045	#125	—	2	1	no	—
1046	#125	—	2	1	no	—
1047	#125	—	2	1	no	—
1048	#125	—	2	1	no	—
1049	#125	—	2	1	no	—
1050	#125	D₄×C₃₁	1	1	yes	characteristic
1051	#125	D₄×C₃₁	1	1	yes	characteristic
1052	#125	C₂³×C₃₁	1	1	yes	characteristic
1053	#125	C₂³×C₃₁	1	1	yes	characteristic
1054	#125	C₂³×C₃₁	1	1	yes	characteristic
1055	#125	C₂³×C₃₁	1	1	yes	characteristic
1056	#125	C₂³×C₃₁	1	1	yes	characteristic
1057	#125	C₂³×C₃₁	1	1	yes	characteristic
1058	#125	C₂³×C₃₁	1	1	yes	characteristic
1059	#125	C₂³×C₃₁	1	1	yes	characteristic
1060	#125	C₂³×C₃₁	1	1	yes	characteristic
1061	#125	C₂³×C₃₁	1	1	yes	characteristic
1062	#125	C₂³×C₃₁	1	1	yes	characteristic
1063	#125	C₂³×C₃₁	1	1	yes	characteristic
1064	#124	—	2	1	no	—
1065	#124	—	2	1	no	—
1066	#124	—	2	1	no	—
1067	#124	—	2	1	no	—
1068	#124	C₂³×C₃₁	1	1	yes	characteristic
1069	#124	C₂³×C₃₁	1	1	yes	characteristic
1070	#124	C₂³×C₃₁	1	1	yes	characteristic
1071	#124	C₂³×C₃₁	1	1	yes	characteristic
1072	#123	—	2	1	no	—
1073	#123	—	2	1	no	—
1074	#123	—	2	1	no	—
1075	#123	—	2	1	no	—
1076	#123	—	2	1	no	—
1077	#123	—	2	1	no	—
1078	#123	—	2	1	no	—
1079	#123	—	2	1	no	—
1080	#123	—	2	1	no	—
1081	#123	—	2	1	no	—
1082	C₂²⋊Q₈	—	2	1	no	—
1083	C₂²⋊Q₈	—	2	1	no	—
1084	C₂²⋊Q₈	—	2	1	no	—
1085	C₂²⋊Q₈	—	2	1	no	—
1086	C₂²⋊Q₈	—	2	1	no	—
1087	C₂²⋊Q₈	—	2	1	no	—
1088	C₂²⋊Q₈	—	2	1	no	—
1089	C₂²⋊Q₈	—	2	1	no	—
1090	C₂²⋊Q₈	—	2	1	no	—
1091	C₂²⋊Q₈	—	2	1	no	—
1092	C₂²⋊Q₈	—	2	1	no	—
1093	C₂²⋊Q₈	—	2	1	no	—
1094	C₂²⋊Q₈	—	2	1	no	—
1095	C₂²⋊Q₈	—	2	1	no	—
1096	C₂²⋊Q₈	—	2	1	no	—
1097	C₂²⋊Q₈	—	2	1	no	—
1098	C₂²⋊Q₈	—	2	1	no	—
1099	C₂²⋊Q₈	—	2	1	no	—
1100	C₂²⋊Q₈	—	2	1	no	—
1101	C₂²⋊Q₈	—	2	1	no	—
1102	C₂²⋊Q₈	—	2	1	no	—
1103	C₂²⋊Q₈	—	2	1	no	—
1104	C₂²⋊Q₈	—	2	1	no	—
1105	C₂²⋊Q₈	—	2	1	no	—
1106	C₂²⋊Q₈	—	2	1	no	—
1107	C₂²⋊Q₈	—	2	1	no	—
1108	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1109	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1110	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1111	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1112	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1113	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1114	#121	—	2	1	no	—
1115	#121	—	2	1	no	—
1116	#121	C₂³×C₃₁	1	1	yes	characteristic
1117	#121	C₂³×C₃₁	1	1	yes	characteristic
1118	C₄×Q₈	—	2	1	no	—
1119	C₄×Q₈	—	2	1	no	—
1120	C₄×Q₈	—	2	1	no	—
1121	C₄×Q₈	—	2	1	no	—
1122	C₄×Q₈	—	2	1	no	—
1123	C₄×Q₈	—	2	1	no	—
1124	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1125	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1126	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1127	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1128	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1129	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1130	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1131	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1132	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1133	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1134	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1135	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1136	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1137	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1138	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1139	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1140	C₄×D₄	—	2	1	no	—
1141	C₄×D₄	—	2	1	no	—
1142	C₄×D₄	—	2	1	no	—
1143	C₄×D₄	—	2	1	no	—
1144	C₄×D₄	—	2	1	no	—
1145	C₄×D₄	—	2	1	no	—
1146	C₄×D₄	—	2	1	no	—
1147	C₄×D₄	—	2	1	no	—
1148	C₄×D₄	—	2	1	no	—
1149	C₄×D₄	—	2	1	no	—
1150	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1151	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1152	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1153	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1154	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1155	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1156	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1157	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1158	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1159	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1160	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1161	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1162	#117	—	2	1	no	—
1163	#117	—	2	1	no	—
1164	#117	—	2	1	no	—
1165	#117	—	2	1	no	—
1166	#117	—	2	1	no	—
1167	#117	—	2	1	no	—
1168	#117	—	2	1	no	—
1169	#117	C₂³×C₃₁	1	1	yes	characteristic
1170	#117	C₂³×C₃₁	1	1	yes	characteristic
1171	#117	C₂³×C₃₁	1	1	yes	characteristic
1172	C₂×C₄⋊C₄	—	2	1	no	—
1173	C₂×C₄⋊C₄	—	2	1	no	—
1174	C₂×C₄⋊C₄	—	2	1	no	—
1175	C₂×C₄⋊C₄	—	2	1	no	—
1176	C₂×C₄⋊C₄	—	2	1	no	—
1177	C₂×C₄⋊C₄	—	2	1	no	—
1178	C₂×C₄⋊C₄	—	2	1	no	—
1179	C₂×C₄⋊C₄	—	2	1	no	—
1180	C₂×C₄⋊C₄	—	2	1	no	—
1181	C₂×C₄⋊C₄	—	2	1	no	—
1182	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1183	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1184	C₂×C₄²	—	2	1	no	—
1185	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1186	#107	C₂³×C₃₁	1	1	yes	characteristic
1187	#107	C₂³×C₃₁	1	1	yes	characteristic
1188	#107	C₂³×C₃₁	1	1	yes	characteristic
1189	#107	C₂³×C₃₁	1	1	yes	characteristic
1190	#107	C₂³×C₃₁	1	1	yes	characteristic
1191	#107	C₂³×C₃₁	1	1	yes	characteristic
1192	#107	C₂³×C₃₁	1	1	yes	characteristic
1193	#107	C₂³×C₃₁	1	1	yes	characteristic
1194	#107	C₂³×C₃₁	1	1	yes	characteristic
1195	#107	C₂³×C₃₁	1	1	yes	characteristic
1196	#107	C₂³×C₃₁	1	1	yes	characteristic
1197	#107	C₂³×C₃₁	1	1	yes	characteristic
1198	#106	C₂³×C₃₁	1	1	yes	characteristic
1199	#106	C₂³×C₃₁	1	1	yes	characteristic
1200	#106	C₂³×C₃₁	1	1	yes	characteristic
1201	#106	C₂³×C₃₁	1	1	yes	characteristic
1202	#106	C₂³×C₃₁	1	1	yes	characteristic
1203	#106	C₂³×C₃₁	1	1	yes	characteristic
1204	#106	C₂³×C₃₁	1	1	yes	characteristic
1205	#106	C₂³×C₃₁	1	1	yes	characteristic
1206	#106	C₂³×C₃₁	1	1	yes	characteristic
1207	#106	C₂³×C₃₁	1	1	yes	characteristic
1208	#106	C₂³×C₃₁	1	1	yes	characteristic
1209	#106	C₂³×C₃₁	1	1	yes	characteristic
1210	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1211	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1212	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1213	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1214	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1215	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1216	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1217	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1218	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1219	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1220	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1221	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1222	#103	C₂³×C₃₁	1	1	yes	characteristic
1223	#103	C₂³×C₃₁	1	1	yes	characteristic
1224	#103	C₂³×C₃₁	1	1	yes	characteristic
1225	#103	C₂³×C₃₁	1	1	yes	characteristic
1226	#103	C₂³×C₃₁	1	1	yes	characteristic
1227	#103	C₂³×C₃₁	1	1	yes	characteristic
1228	#103	C₂³×C₃₁	1	1	yes	characteristic
1229	#103	C₂³×C₃₁	1	1	yes	characteristic
1230	#103	C₂³×C₃₁	1	1	yes	characteristic
1231	#103	C₂³×C₃₁	1	1	yes	characteristic
1232	#103	C₂³×C₃₁	1	1	yes	characteristic
1233	#103	C₂³×C₃₁	1	1	yes	characteristic
1234	#103	C₂³×C₃₁	1	1	yes	characteristic
1235	#103	C₂³×C₃₁	1	1	yes	characteristic
1236	#103	C₂³×C₃₁	1	1	yes	characteristic
1237	#103	C₂³×C₃₁	1	1	yes	characteristic
1238	#102	C₂³×C₃₁	1	1	yes	characteristic
1239	#102	C₂³×C₃₁	1	1	yes	characteristic
1240	#102	C₂³×C₃₁	1	1	yes	characteristic
1241	#102	C₂³×C₃₁	1	1	yes	characteristic
1242	#102	C₂³×C₃₁	1	1	yes	characteristic
1243	#102	C₂³×C₃₁	1	1	yes	characteristic
1244	#102	C₂³×C₃₁	1	1	yes	characteristic
1245	#102	C₂³×C₃₁	1	1	yes	characteristic
1246	#102	C₂³×C₃₁	1	1	yes	characteristic
1247	#102	C₂³×C₃₁	1	1	yes	characteristic
1248	#102	C₂³×C₃₁	1	1	yes	characteristic
1249	#102	C₂³×C₃₁	1	1	yes	characteristic
1250	#102	C₂³×C₃₁	1	1	yes	characteristic
1251	#102	C₂³×C₃₁	1	1	yes	characteristic
1252	#102	C₂³×C₃₁	1	1	yes	characteristic
1253	#102	C₂³×C₃₁	1	1	yes	characteristic
1254	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1255	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1256	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1257	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1258	#97	C₂³×C₃₁	1	1	yes	characteristic
1259	#97	C₂³×C₃₁	1	1	yes	characteristic
1260	#97	C₂³×C₃₁	1	1	yes	characteristic
1261	#97	C₂³×C₃₁	1	1	yes	characteristic
1262	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1263	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1264	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1265	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1266	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1267	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1268	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1269	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1270	C₃₁	#61867	1	1	yes	characteristic, direct product factor, Sylow
1271	#41	—	2	2	no	—
1272	#41	—	2	2	no	—
1273	C₂×Q₈	—	2	1	no	—
1274	C₂×Q₈	—	2	1	no	—
1275	C₂×Q₈	—	2	1	no	—
1276	C₂×Q₈	—	2	1	no	—
1277	C₂×Q₈	—	2	1	no	—
1278	C₂×Q₈	—	2	1	no	—
1279	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1280	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1281	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1282	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1283	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1284	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1285	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1286	C₂×D₄	—	2	1	no	—
1287	C₂×D₄	—	2	1	no	—
1288	C₂×D₄	—	2	1	no	—
1289	C₂×D₄	—	2	1	no	—
1290	C₂×D₄	—	2	1	no	—
1291	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1292	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1293	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1294	C₂²×C₄	—	2	1	no	—
1295	C₂²×C₄	—	2	1	no	—
1296	C₂²×C₄	—	2	1	no	—
1297	C₂²×C₄	—	2	1	no	—
1298	C₂²×C₄	—	2	1	no	—
1299	C₂²×C₄	—	2	1	no	—
1300	C₂²×C₄	—	2	1	no	—
1301	C₂²×C₄	—	2	1	no	—
1302	C₂²×C₄	—	2	1	no	—
1303	C₂²×C₄	—	2	1	no	—
1304	C₂²×C₄	—	2	1	no	—
1305	C₂²×C₄	—	2	1	no	—
1306	C₂²×C₄	—	2	1	no	—
1307	C₂²×C₄	—	2	1	no	—
1308	C₂²×C₄	—	2	1	no	—
1309	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1310	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1311	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1312	Q₁₆	—	2	2	no	—
1313	Q₁₆	—	2	2	no	—
1314	SD₁₆	—	2	2	no	—
1315	SD₁₆	—	2	2	no	—
1316	SD₁₆	—	2	2	no	—
1317	SD₁₆	—	2	2	no	—
1318	D₈	—	2	2	no	—
1319	D₈	—	2	2	no	—
1320	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1321	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1322	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1323	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1324	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1325	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1326	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1327	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1328	C₄⋊C₄	—	2	1	no	—
1329	C₄⋊C₄	—	2	1	no	—
1330	C₄⋊C₄	—	2	1	no	—
1331	C₄⋊C₄	—	2	1	no	—
1332	C₄⋊C₄	—	2	1	no	—
1333	C₄⋊C₄	—	2	1	no	—
1334	C₄⋊C₄	—	2	1	no	—
1335	C₄⋊C₄	—	2	1	no	—
1336	C₄⋊C₄	—	2	1	no	—
1337	C₄⋊C₄	—	2	1	no	—
1338	C₄⋊C₄	—	2	1	no	—
1339	C₄⋊C₄	—	2	1	no	—
1340	C₄⋊C₄	—	2	1	no	—
1341	C₄⋊C₄	—	2	1	no	—
1342	C₄⋊C₄	—	2	1	no	—
1343	C₄⋊C₄	—	2	1	no	—
1344	C₄⋊C₄	—	2	1	no	—
1345	C₄⋊C₄	—	2	1	no	—
1346	C₄⋊C₄	—	2	1	no	—
1347	C₄⋊C₄	—	2	1	no	—
1348	C₄⋊C₄	—	2	1	no	—
1349	C₄⋊C₄	—	2	1	no	—
1350	C₄⋊C₄	—	2	1	no	—
1351	C₄⋊C₄	—	2	1	no	—
1352	C₄⋊C₄	—	2	1	no	—
1353	C₄⋊C₄	—	2	1	no	—
1354	C₄⋊C₄	—	2	1	no	—
1355	C₄⋊C₄	—	2	1	no	—
1356	C₄⋊C₄	—	2	1	no	—
1357	C₄⋊C₄	—	2	1	no	—
1358	C₄⋊C₄	—	2	1	no	—
1359	C₄⋊C₄	—	2	1	no	—
1360	C₄⋊C₄	—	2	1	no	—
1361	C₄⋊C₄	—	2	1	no	—
1362	C₄⋊C₄	—	2	1	no	—
1363	C₄⋊C₄	—	2	1	no	—
1364	C₄⋊C₄	—	2	1	no	—
1365	C₄⋊C₄	—	2	1	no	—
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1377	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1378	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1379	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1380	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1381	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1382	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1383	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1384	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1385	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1386	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1387	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1388	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1389	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1390	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1391	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1392	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1393	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1394	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1395	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1396	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1397	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1398	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1399	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1400	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1401	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1402	C₂²⋊C₄	—	2	1	no	—
1403	C₂²⋊C₄	—	2	1	no	—
1404	C₂²⋊C₄	—	2	1	no	—
1405	C₂²⋊C₄	—	2	1	no	—
1406	C₂²⋊C₄	—	2	1	no	—
1407	C₂²⋊C₄	—	2	1	no	—
1408	C₂²⋊C₄	—	2	1	no	—
1409	C₂²⋊C₄	—	2	1	no	—
1410	C₂²⋊C₄	—	2	1	no	—
1411	C₂²⋊C₄	—	2	1	no	—
1412	C₂²⋊C₄	—	2	1	no	—
1413	C₂²⋊C₄	—	2	1	no	—
1414	C₂²⋊C₄	—	2	1	no	—
1415	C₂²⋊C₄	—	2	1	no	—
1416	C₂²⋊C₄	—	2	1	no	—
1417	C₂²⋊C₄	—	2	1	no	—
1418	C₂²⋊C₄	—	2	1	no	—
1419	C₂²⋊C₄	—	2	1	no	—
1420	C₂²⋊C₄	—	2	1	no	—
1421	C₂²⋊C₄	—	2	1	no	—
1422	C₂²⋊C₄	—	2	1	no	—
1423	C₂²⋊C₄	—	2	1	no	—
1424	C₂²⋊C₄	—	2	1	no	—
1425	C₂²⋊C₄	—	2	1	no	—
1426	C₂²⋊C₄	—	2	1	no	—
1427	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1428	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1429	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1430	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1431	C₄²	—	2	1	no	—
1432	C₄²	—	2	1	no	—
1433	C₄²	—	2	1	no	—
1434	C₄²	—	2	1	no	—
1435	C₄²	—	2	1	no	—
1436	C₄²	—	2	1	no	—
1437	C₄²	—	2	1	no	—
1438	C₄²	—	2	1	no	—
1439	C₄²	—	2	1	no	—
1440	C₄²	—	2	1	no	—
1441	C₄²	—	2	1	no	—
1442	C₄²	—	2	1	no	—
1443	C₄²	—	2	1	no	—
1444	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1445	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1446	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1447	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1448	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1449	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1450	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1451	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1452	C₂³	—	2	1	no	—
1453	C₂³	—	2	1	no	—
1454	C₂³	—	2	1	no	—
1455	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1456	Q₈	—	2	1	no	—
1457	Q₈	—	2	1	no	—
1458	Q₈	—	2	1	no	—
1459	Q₈	—	2	1	no	—
1460	Q₈	—	2	1	no	—
1461	Q₈	—	4	1	no	—
1462	Q₈	—	4	1	no	—
1463	Q₈	—	4	1	no	—
1464	Q₈	—	4	1	no	—
1465	Q₈	—	8	1	no	—
1466	Q₈	—	8	1	no	—
1467	Q₈	—	8	1	no	—
1468	Q₈	—	8	1	no	—
1469	Q₈	—	8	1	no	—
1470	Q₈	—	8	1	no	—
1471	Q₈	C₃₁×2₋¹⁺⁴	1	2	yes	—
1472	D₄	—	2	4	no	—
1473	D₄	—	2	1	no	—
1474	D₄	—	2	1	no	—
1475	D₄	—	2	1	no	—
1476	D₄	—	2	1	no	—
1477	D₄	—	2	1	no	—
1478	D₄	—	8	1	no	—
1479	D₄	—	8	1	no	—
1480	D₄	—	8	1	no	—
1481	D₄	—	8	1	no	—
1482	D₄	C₃₁×2₋¹⁺⁴	1	2	yes	—
1483	C₂×C₄	—	2	4	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	4	1	no	—
1500	C₂×C₄	—	4	1	no	—
1501	C₂×C₄	—	8	1	no	—
1502	C₂×C₄	—	8	1	no	—
1503	C₂×C₄	—	8	1	no	—
1504	C₂×C₄	—	8	1	no	—
1505	C₂×C₄	—	8	1	no	—
1506	C₂×C₄	—	8	1	no	—
1507	C₂×C₄	—	8	1	no	—
1508	C₂×C₄	—	8	1	no	—
1509	C₂×C₄	—	8	1	no	—
1510	C₂×C₄	—	8	1	no	—
1511	C₂×C₄	—	8	1	no	—
1512	C₂×C₄	—	8	1	no	—
1513	C₂×C₄	—	8	1	no	—
1514	C₂×C₄	—	8	1	no	—
1515	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1516	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1517	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1518	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1519	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1520	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1521	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1522	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1523	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1524	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1525	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1526	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1527	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1528	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1529	C₈	—	2	1	no	—
1530	C₈	—	2	1	no	—
1531	C₈	—	2	1	no	—
1532	C₈	—	2	1	no	—
1533	C₈	—	2	1	no	—
1534	C₈	—	2	1	no	—
1535	C₈	—	2	1	no	—
1536	C₈	—	2	1	no	—
1537	C₂²	—	2	1	no	—
1538	C₂²	—	2	2	no	—
1539	C₂²	—	2	1	no	—
1540	C₂²	—	2	1	no	—
1541	C₂²	—	4	1	no	—
1542	C₂²	—	4	1	no	—
1543	C₂²	—	4	1	no	—
1544	C₂²	—	4	1	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	4	1	no	—
1547	C₂²	—	4	1	no	—
1548	C₂²	—	4	1	no	—
1549	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1550	C₄	—	2	1	no	—
1551	C₄	—	2	2	no	—
1552	C₄	—	2	1	no	—
1553	C₄	—	2	1	no	—
1554	C₄	—	2	1	no	—
1555	C₄	—	2	1	no	—
1556	C₄	—	2	1	no	—
1557	C₄	—	2	1	no	—
1558	C₄	—	2	1	no	—
1559	C₄	—	2	1	no	—
1560	C₄	—	2	1	no	—
1561	C₄	—	2	1	no	—
1562	C₄	—	2	1	no	—
1563	C₄	—	2	1	no	—
1564	C₄	—	4	1	no	—
1565	C₄	—	4	1	no	—
1566	C₄	—	4	1	no	—
1567	C₄	—	4	1	no	—
1568	C₄	—	4	1	no	—
1569	C₄	—	4	1	no	—
1570	C₄	—	4	1	no	—
1571	C₄	—	4	1	no	—
1572	C₄	—	4	1	no	—
1573	C₄	—	4	1	no	—
1574	C₄	—	4	1	no	—
1575	C₄	—	4	1	no	—
1576	C₄	C₂×C₃₁×2₋¹⁺⁴	1	1	yes	characteristic
1577	C₄	C₂×C₃₁×2₋¹⁺⁴	1	1	yes	characteristic
1578	C₂	—	4	1	no	—
1579	C₂	—	4	2	no	—
1580	C₂	—	8	1	no	—
1581	C₂	—	8	1	no	—
1582	C₂	C₃₁×#3486	1	1	yes	characteristic
1583	C₂	C₃₁×#3584	1	1	yes	characteristic
1584	C₂	C₃₁×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃₁
prime radical	C₃₁×#3119	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₁ ◁ C₃₁×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3557	C₂	semidirect
2. C₃₁×#3504	C₂	semidirect
3. C₃₁×#3390	C₂	semidirect
4. C₃₁×#3389	C₂	semidirect
5. C₃₁×#3388	C₂	semidirect
6. C₃₁×#3388	C₂	semidirect
7. C₃₁×#3383	C₂	semidirect
8. C₃₁×#3381	C₂	semidirect
9. C₃₁×#3381	C₂	semidirect
10. C₃₁×#3380	C₂	semidirect
11. C₃₁×#3377	C₂	semidirect
12. C₃₁×#3376	C₂	semidirect
13. C₃₁×#3371	C₂	semidirect
14. C₃₁×#3370	C₂	semidirect
15. C₃₁×#3365	C₂	semidirect
16. C₃₁×#3364	C₂	semidirect
17. C₃₁×#3361	C₂	semidirect
18. C₃₁×#3360	C₂	semidirect
19. C₃₁×#3244	C₂	semidirect
20. C₃₁×#3243	C₂	semidirect
21. C₃₁×#3242	C₂	semidirect
22. C₃₁×#3241	C₂	semidirect
23. C₃₁×#3232	C₂	semidirect
24. C₃₁×#3232	C₂	semidirect
25. C₃₁×#3125	C₂	semidirect
26. C₃₁×#3124	C₂	semidirect
27. C₃₁×#3120	C₂	semidirect
29. C₃₁×#3102	C₂	semidirect
30. C₃₁×#3102	C₂	semidirect
31. C₃₁×#2986	C₂	semidirect
659. #61867	C₃₁	direct (N × H)
745. #3557	C₂×C₃₁	semidirect
746. #3504	C₂×C₃₁	semidirect
747. #3390	C₂×C₃₁	semidirect
748. #3389	C₂×C₃₁	semidirect
749. #3388	C₂×C₃₁	semidirect
750. #3388	C₂×C₃₁	semidirect
751. #3383	C₂×C₃₁	semidirect
752. #3381	C₂×C₃₁	semidirect
753. #3381	C₂×C₃₁	semidirect
754. #3380	C₂×C₃₁	semidirect
755. #3377	C₂×C₃₁	semidirect
756. #3376	C₂×C₃₁	semidirect
757. #3371	C₂×C₃₁	semidirect
758. #3370	C₂×C₃₁	semidirect
759. #3365	C₂×C₃₁	semidirect
760. #3364	C₂×C₃₁	semidirect
761. #3361	C₂×C₃₁	semidirect
762. #3360	C₂×C₃₁	semidirect
763. #3244	C₂×C₃₁	semidirect
764. #3243	C₂×C₃₁	semidirect
765. #3242	C₂×C₃₁	semidirect
766. #3241	C₂×C₃₁	semidirect
767. #3232	C₂×C₃₁	semidirect
768. #3232	C₂×C₃₁	semidirect
769. #3125	C₂×C₃₁	semidirect
770. #3124	C₂×C₃₁	semidirect
771. #3120	C₂×C₃₁	semidirect
773. #3102	C₂×C₃₁	semidirect
774. #3102	C₂×C₃₁	semidirect
775. #2986	C₂×C₃₁	semidirect
1270. C₃₁	#61867	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×#3557	2
C₃₁×#3504	2
C₃₁×#3390	2
C₃₁×#3389	2
C₃₁×#3388	2
C₃₁×#3383	2
C₃₁×#3381	2
C₃₁×#3380	2
C₃₁×#3377	2
C₃₁×#3376	2
C₃₁×#3371	2
C₃₁×#3370	2
C₃₁×#3365	2
C₃₁×#3364	2
C₃₁×#3361	2
C₃₁×#3360	2
C₃₁×#3244	2
C₃₁×#3243	2
C₃₁×#3242	2
C₃₁×#3241	2
C₃₁×#3232	2
C₃₁×#3125	2
C₃₁×#3124	2
C₃₁×#3120	2
C₃₁×#3119	2
C₃₁×#3102	2
C₃₁×#2986	2
#61867	31

Subgroups — C31×#61867 #21518626

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61867 #21518626