Subgroups — C₃₁×#61918 #21518677

Order 7936.

1660 conjugacy classes of subgroups.

The subgroup lattice has 1646 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×#3507	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3403	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3402	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3401	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3401	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3400	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3398	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3394	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3393	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×#3374	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3372	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3371	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3364	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3360	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3225	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3225	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3223	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3221	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3219	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3212	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, complemented
29	C₃₁×#3117	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃₁×#3108	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃₁×#2985	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×#559	C₂²	1	1	yes	characteristic
37	C₃₁×#559	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	—	2	1	no	—
43	C₃₁×#556	C₂²	1	1	yes	characteristic
44	C₃₁×#556	C₂²	1	1	yes	characteristic
45	C₃₁×#556	C₂²	1	1	yes	characteristic
46	C₃₁×#556	C₂²	1	1	yes	characteristic
47	C₃₁×#556	C₂²	1	1	yes	characteristic
48	C₃₁×#556	C₂²	1	1	yes	characteristic
49	C₃₁×#554	—	2	1	no	—
50	C₃₁×#554	C₂²	1	1	yes	characteristic
51	C₃₁×#554	C₂²	1	1	yes	characteristic
52	C₃₁×#552	—	2	1	no	—
53	C₃₁×#552	—	2	1	no	—
54	C₃₁×#552	—	2	1	no	—
55	C₃₁×#552	—	2	1	no	—
56	C₃₁×#542	—	2	1	no	—
57	C₃₁×#542	—	2	1	no	—
58	C₃₁×#542	C₂²	1	1	yes	characteristic
59	C₃₁×#542	C₂²	1	1	yes	characteristic
60	C₃₁×#541	C₂²	1	1	yes	characteristic
61	C₃₁×#540	C₂²	1	1	yes	characteristic
62	C₃₁×#539	—	2	1	no	—
63	C₃₁×#539	—	2	1	no	—
64	C₃₁×#539	—	2	1	no	—
65	C₃₁×#539	—	2	1	no	—
66	C₃₁×#536	C₂²	1	1	yes	characteristic
67	C₃₁×#536	C₂²	1	1	yes	characteristic
68	C₃₁×#533	C₂²	1	1	yes	characteristic
69	C₃₁×#532	C₂²	1	1	yes	characteristic
70	C₃₁×#529	—	2	1	no	—
71	C₃₁×#529	—	2	1	no	—
72	C₃₁×#529	C₂²	1	1	yes	characteristic
73	C₃₁×#529	C₂²	1	1	yes	characteristic
74	C₃₁×#520	C₂²	1	1	yes	characteristic
75	C₃₁×#520	C₂²	1	1	yes	characteristic
76	C₂×C₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
77	C₃₁×#497	C₂²	1	1	yes	characteristic
78	C₃₁×#497	C₂²	1	1	yes	characteristic
79	C₃₁×#497	C₂²	1	1	yes	characteristic
80	C₃₁×#497	C₂²	1	1	yes	characteristic
81	C₃₁×#496	C₂²	1	1	yes	characteristic
82	C₃₁×#496	C₂²	1	1	yes	characteristic
83	C₃₁×#495	C₂²	1	1	yes	characteristic
84	C₃₁×#495	C₂²	1	1	yes	characteristic
85	C₃₁×#495	C₂²	1	1	yes	characteristic
86	C₃₁×#495	C₂²	1	1	yes	characteristic
87	C₃₁×#494	C₂²	1	1	yes	characteristic
88	C₃₁×#492	C₂²	1	1	yes	characteristic
89	C₃₁×#491	C₂²	1	1	yes	characteristic
90	C₃₁×#491	C₂²	1	1	yes	characteristic
91	C₃₁×#491	C₂²	1	1	yes	characteristic
92	C₃₁×#490	C₂²	1	1	yes	characteristic
93	C₃₁×#489	C₂²	1	1	yes	characteristic
94	C₃₁×#489	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×#487	C₂²	1	1	yes	characteristic
101	C₃₁×#484	C₂²	1	1	yes	characteristic
102	C₃₁×#483	C₂²	1	1	yes	characteristic
103	C₃₁×#481	C₂²	1	1	yes	characteristic
104	C₃₁×#480	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×#479	C₂²	1	1	yes	characteristic
111	C₃₁×#478	C₂²	1	1	yes	characteristic
112	C₃₁×#478	C₂²	1	1	yes	characteristic
113	C₃₁×#477	C₂²	1	1	yes	characteristic
114	C₃₁×#476	C₂²	1	1	yes	characteristic
115	C₃₁×#475	C₂²	1	1	yes	characteristic
116	C₃₁×#474	C₂²	1	1	yes	characteristic
117	C₃₁×#464	C₂²	1	1	yes	characteristic
118	C₃₁×#464	C₂²	1	1	yes	characteristic
119	C₃₁×#464	C₂²	1	1	yes	characteristic
120	C₃₁×#464	C₂²	1	1	yes	characteristic
121	C₃₁×#464	C₂²	1	1	yes	characteristic
122	C₃₁×#464	C₂²	1	1	yes	characteristic
123	C₃₁×#464	C₂²	1	1	yes	characteristic
124	C₃₁×#464	C₂²	1	1	yes	characteristic
125	C₃₁×#464	C₂²	1	1	yes	characteristic
126	C₃₁×#464	C₂²	1	1	yes	characteristic
127	C₃₁×#464	C₂²	1	1	yes	characteristic
128	C₃₁×#464	C₂²	1	1	yes	characteristic
129	C₃₁×#463	C₂²	1	1	yes	characteristic
130	C₃₁×#463	C₂²	1	1	yes	characteristic
131	C₃₁×#463	C₂²	1	1	yes	characteristic
132	C₃₁×#463	C₂²	1	1	yes	characteristic
133	C₃₁×#463	C₂²	1	1	yes	characteristic
134	C₃₁×#463	C₂²	1	1	yes	characteristic
135	C₃₁×#463	C₂²	1	1	yes	characteristic
136	C₃₁×#463	C₂²	1	1	yes	characteristic
137	C₃₁×#462	C₂²	1	1	yes	characteristic
138	C₃₁×#462	C₂²	1	1	yes	characteristic
139	C₃₁×#462	C₂²	1	1	yes	characteristic
140	C₃₁×#462	C₂²	1	1	yes	characteristic
141	C₃₁×#462	C₂²	1	1	yes	characteristic
142	C₃₁×#462	C₂²	1	1	yes	characteristic
143	C₃₁×#461	C₂²	1	1	yes	characteristic
144	C₃₁×#461	C₂²	1	1	yes	characteristic
145	C₃₁×#461	C₂²	1	1	yes	characteristic
146	C₃₁×#461	C₂²	1	1	yes	characteristic
147	C₃₁×#461	C₂²	1	1	yes	characteristic
148	C₃₁×#461	C₂²	1	1	yes	characteristic
149	C₃₁×#460	C₂²	1	1	yes	characteristic
150	C₃₁×#460	C₂²	1	1	yes	characteristic
151	C₃₁×#459	C₂²	1	1	yes	characteristic
152	C₃₁×#459	C₂²	1	1	yes	characteristic
153	C₃₁×#452	C₂²	1	1	yes	characteristic
154	C₃₁×#452	C₂²	1	1	yes	characteristic
155	C₃₁×#452	C₂²	1	1	yes	characteristic
156	C₃₁×#452	C₂²	1	1	yes	characteristic
157	C₃₁×#451	C₂²	1	1	yes	characteristic
158	C₃₁×#451	C₂²	1	1	yes	characteristic
159	C₃₁×#449	C₂²	1	1	yes	characteristic
160	C₃₁×#449	C₂²	1	1	yes	characteristic
161	C₃₁×#449	C₂²	1	1	yes	characteristic
162	C₃₁×#449	C₂²	1	1	yes	characteristic
163	C₃₁×#448	C₂²	1	1	yes	characteristic
164	C₃₁×#448	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	C₃₁×#446	C₂²	1	1	yes	characteristic
170	C₃₁×#446	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×#441	C₂²	1	1	yes	characteristic
178	C₃₁×#441	C₂²	1	1	yes	characteristic
179	C₃₁×#440	C₂²	1	1	yes	characteristic
180	C₃₁×#440	C₂²	1	1	yes	characteristic
181	C₃₁×#440	C₂²	1	1	yes	characteristic
182	C₃₁×#440	C₂²	1	1	yes	characteristic
183	C₃₁×#440	C₂²	1	1	yes	characteristic
184	C₃₁×#440	C₂²	1	1	yes	characteristic
185	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
186	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
187	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
188	C₄×Q₁₆×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×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
194	C₄×SD₁₆×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×#432	C₂²	1	1	yes	characteristic
202	C₃₁×#431	C₂²	1	1	yes	characteristic
203	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
204	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
206	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
207	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
208	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
209	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
210	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
211	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
212	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
213	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
221	C₂×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×D₈×C₃₁	C₂³	1	1	yes	characteristic
227	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
228	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
229	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
230	C₃₁×C₄⋊Q₈	—	2	1	no	—
231	C₃₁×C₄⋊Q₈	—	2	1	no	—
232	C₃₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
233	C₃₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
234	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
240	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₃₁×#127	C₂³	1	1	yes	characteristic
243	C₃₁×#127	C₂³	1	1	yes	characteristic
244	C₃₁×#126	—	2	1	no	—
245	C₃₁×#126	—	2	1	no	—
246	C₃₁×#126	—	2	1	no	—
247	C₃₁×#126	—	2	1	no	—
248	C₃₁×#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×#126	—	2	1	no	—
258	C₃₁×#126	—	2	1	no	—
259	C₃₁×#126	—	2	1	no	—
260	C₃₁×#126	—	2	1	no	—
261	C₃₁×#126	—	2	1	no	—
262	C₃₁×#125	—	2	1	no	—
263	C₃₁×#125	—	2	1	no	—
264	C₃₁×#125	—	2	1	no	—
265	C₃₁×#125	—	2	1	no	—
266	C₃₁×#125	—	2	1	no	—
267	C₃₁×#125	—	2	1	no	—
268	C₃₁×#125	—	2	1	no	—
269	C₃₁×#125	—	2	1	no	—
270	C₃₁×#125	—	2	1	no	—
271	C₃₁×#125	—	2	1	no	—
272	C₃₁×#125	—	2	1	no	—
273	C₃₁×#125	—	2	1	no	—
274	C₃₁×#125	D₄	1	1	yes	characteristic
275	C₃₁×#125	D₄	1	1	yes	characteristic
276	C₃₁×#125	C₂³	1	1	yes	characteristic
277	C₃₁×#125	C₂³	1	1	yes	characteristic
278	C₃₁×#125	C₂³	1	1	yes	characteristic
279	C₃₁×#125	C₂³	1	1	yes	characteristic
280	C₃₁×#124	—	2	1	no	—
281	C₃₁×#124	—	2	1	no	—
282	C₃₁×#124	—	2	1	no	—
283	C₃₁×#124	—	2	1	no	—
284	C₃₁×#124	—	2	1	no	—
285	C₃₁×#124	—	2	1	no	—
286	C₃₁×#124	C₂³	1	1	yes	characteristic
287	C₃₁×#124	C₂³	1	1	yes	characteristic
288	C₃₁×#124	C₂³	1	1	yes	characteristic
289	C₃₁×#124	C₂³	1	1	yes	characteristic
290	C₃₁×#124	C₂³	1	1	yes	characteristic
291	C₃₁×#124	C₂³	1	1	yes	characteristic
292	C₃₁×#124	C₂³	1	1	yes	characteristic
293	C₃₁×#124	C₂³	1	1	yes	characteristic
294	C₃₁×#124	C₂³	1	1	yes	characteristic
295	C₃₁×#124	C₂³	1	1	yes	characteristic
296	C₃₁×#123	—	2	1	no	—
297	C₃₁×#123	—	2	1	no	—
298	C₃₁×#123	—	2	1	no	—
299	C₃₁×#123	—	2	1	no	—
300	C₃₁×#123	—	2	1	no	—
301	C₃₁×#123	—	2	1	no	—
302	C₃₁×#123	—	2	1	no	—
303	C₃₁×#123	—	2	1	no	—
304	C₃₁×#123	—	2	1	no	—
305	C₃₁×#123	—	2	1	no	—
306	C₃₁×#123	—	2	1	no	—
307	C₃₁×#123	—	2	1	no	—
308	C₃₁×#123	—	2	1	no	—
309	C₃₁×#123	—	2	1	no	—
310	C₃₁×#123	—	2	1	no	—
311	C₃₁×#123	—	2	1	no	—
312	C₃₁×#123	—	2	1	no	—
313	C₃₁×#123	—	2	1	no	—
314	C₃₁×C₂²⋊Q₈	—	2	1	no	—
315	C₃₁×C₂²⋊Q₈	—	2	1	no	—
316	C₃₁×C₂²⋊Q₈	—	2	1	no	—
317	C₃₁×C₂²⋊Q₈	—	2	1	no	—
318	C₃₁×C₂²⋊Q₈	—	2	1	no	—
319	C₃₁×C₂²⋊Q₈	—	2	1	no	—
320	C₃₁×C₂²⋊Q₈	—	2	1	no	—
321	C₃₁×C₂²⋊Q₈	—	2	1	no	—
322	C₃₁×C₂²⋊Q₈	—	2	1	no	—
323	C₃₁×C₂²⋊Q₈	—	2	1	no	—
324	C₃₁×C₂²⋊Q₈	—	2	1	no	—
325	C₃₁×C₂²⋊Q₈	—	2	1	no	—
326	C₃₁×C₂²⋊Q₈	—	2	1	no	—
327	C₃₁×C₂²⋊Q₈	—	2	1	no	—
328	C₃₁×C₂²⋊Q₈	—	2	1	no	—
329	C₃₁×C₂²⋊Q₈	—	2	1	no	—
330	C₃₁×C₂²⋊Q₈	—	2	1	no	—
331	C₃₁×C₂²⋊Q₈	—	2	1	no	—
332	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
333	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
334	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
335	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
336	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
337	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
338	C₃₁×#121	—	2	1	no	—
339	C₃₁×#121	—	2	1	no	—
340	C₃₁×#121	—	2	1	no	—
341	C₃₁×#121	—	2	1	no	—
342	C₃₁×#121	C₂³	1	1	yes	characteristic
343	C₃₁×#121	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₃₁	—	2	1	no	—
345	C₄×Q₈×C₃₁	—	2	1	no	—
346	C₄×Q₈×C₃₁	—	2	1	no	—
347	C₄×Q₈×C₃₁	—	2	1	no	—
348	C₄×Q₈×C₃₁	—	2	1	no	—
349	C₄×Q₈×C₃₁	—	2	1	no	—
350	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
354	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
355	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
356	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
357	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
358	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
359	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
360	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
361	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
362	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
363	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
364	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
365	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
366	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
367	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₃₁	—	2	1	no	—
369	C₄×D₄×C₃₁	—	2	1	no	—
370	C₄×D₄×C₃₁	—	2	1	no	—
371	C₄×D₄×C₃₁	—	2	1	no	—
372	C₄×D₄×C₃₁	—	2	1	no	—
373	C₄×D₄×C₃₁	—	2	1	no	—
374	C₄×D₄×C₃₁	—	2	1	no	—
375	C₄×D₄×C₃₁	—	2	1	no	—
376	C₄×D₄×C₃₁	—	2	1	no	—
377	C₄×D₄×C₃₁	—	2	1	no	—
378	C₄×D₄×C₃₁	—	2	1	no	—
379	C₄×D₄×C₃₁	—	2	1	no	—
380	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
383	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
384	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
385	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
386	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
387	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
388	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
389	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
390	C₃₁×#117	—	2	1	no	—
391	C₃₁×#117	—	2	1	no	—
392	C₃₁×#117	—	2	1	no	—
393	C₃₁×#117	—	2	1	no	—
394	C₃₁×#117	—	2	1	no	—
395	C₃₁×#117	—	2	1	no	—
396	C₃₁×#117	—	2	1	no	—
397	C₃₁×#117	—	2	1	no	—
398	C₃₁×#117	—	2	1	no	—
399	C₃₁×#117	—	2	1	no	—
400	C₃₁×#117	C₂³	1	1	yes	characteristic
401	C₃₁×#117	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
403	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
404	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
405	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
406	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
407	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
408	C₂×C₄²×C₃₁	—	2	1	no	—
409	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
410	C₃₁×#107	C₂³	1	1	yes	characteristic
411	C₃₁×#107	C₂³	1	1	yes	characteristic
412	C₃₁×#107	C₂³	1	1	yes	characteristic
413	C₃₁×#107	C₂³	1	1	yes	characteristic
414	C₃₁×#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×#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×#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	C₃₁×#97	C₂³	1	1	yes	characteristic
471	C₃₁×#97	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	—	4	1	no	—
479	#41×C₃₁	—	4	1	no	—
480	#41×C₃₁	—	4	1	no	—
481	#41×C₃₁	—	4	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	—	4	1	no	—
486	C₂×Q₈×C₃₁	—	4	1	no	—
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	C₂×D₄	1	1	yes	characteristic
491	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
492	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₃₁	—	2	1	no	—
498	C₂×D₄×C₃₁	—	2	1	no	—
499	C₂×D₄×C₃₁	—	2	1	no	—
500	C₂×D₄×C₃₁	—	2	1	no	—
501	C₂×D₄×C₃₁	—	2	1	no	—
502	C₂×D₄×C₃₁	—	2	1	no	—
503	C₂×D₄×C₃₁	—	2	1	no	—
504	C₂×D₄×C₃₁	—	2	1	no	—
505	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
517	C₂²×C₄×C₃₁	—	2	1	no	—
518	C₂²×C₄×C₃₁	—	2	1	no	—
519	C₂²×C₄×C₃₁	—	2	1	no	—
520	C₂²×C₄×C₃₁	—	2	1	no	—
521	C₂²×C₄×C₃₁	—	2	1	no	—
522	C₂²×C₄×C₃₁	—	2	1	no	—
523	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
524	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
525	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
526	Q₁₆×C₃₁	—	4	1	no	—
527	Q₁₆×C₃₁	—	4	1	no	—
528	Q₁₆×C₃₁	—	4	1	no	—
529	Q₁₆×C₃₁	—	4	1	no	—
530	Q₁₆×C₃₁	—	4	1	no	—
531	Q₁₆×C₃₁	—	4	1	no	—
532	Q₁₆×C₃₁	—	4	1	no	—
533	Q₁₆×C₃₁	—	4	1	no	—
534	SD₁₆×C₃₁	—	4	1	no	—
535	SD₁₆×C₃₁	—	4	1	no	—
536	SD₁₆×C₃₁	—	4	1	no	—
537	SD₁₆×C₃₁	—	4	1	no	—
538	SD₁₆×C₃₁	—	4	1	no	—
539	SD₁₆×C₃₁	—	4	1	no	—
540	SD₁₆×C₃₁	—	4	1	no	—
541	SD₁₆×C₃₁	—	4	1	no	—
542	SD₁₆×C₃₁	—	4	1	no	—
543	SD₁₆×C₃₁	—	4	1	no	—
544	SD₁₆×C₃₁	—	4	1	no	—
545	SD₁₆×C₃₁	—	4	1	no	—
546	D₈×C₃₁	—	4	1	no	—
547	D₈×C₃₁	—	4	1	no	—
548	D₈×C₃₁	—	4	1	no	—
549	D₈×C₃₁	—	4	1	no	—
550	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
551	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
552	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
553	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
554	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
555	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
556	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
557	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	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	C₂×D₄	1	1	yes	characteristic
598	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
599	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
600	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
601	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
602	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
605	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
606	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
607	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
608	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
610	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
611	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
613	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
614	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
615	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
616	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
619	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	—	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	C₂×D₄	1	1	yes	characteristic
654	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
655	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
656	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
657	C₄²×C₃₁	—	2	1	no	—
658	C₄²×C₃₁	—	2	1	no	—
659	C₄²×C₃₁	—	2	1	no	—
660	C₄²×C₃₁	—	2	1	no	—
661	C₄²×C₃₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
672	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
673	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
674	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
675	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
676	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
677	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
678	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
679	#61918	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
680	C₂³×C₃₁	—	2	1	no	—
681	C₂³×C₃₁	—	2	1	no	—
682	C₂³×C₃₁	—	2	1	no	—
683	C₂³×C₃₁	—	2	1	no	—
684	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
685	Q₈×C₃₁	—	2	1	no	—
686	Q₈×C₃₁	—	2	1	no	—
687	Q₈×C₃₁	—	2	1	no	—
688	Q₈×C₃₁	—	2	1	no	—
689	Q₈×C₃₁	—	2	1	no	—
690	Q₈×C₃₁	—	2	1	no	—
691	Q₈×C₃₁	—	2	1	no	—
692	Q₈×C₃₁	—	2	1	no	—
693	Q₈×C₃₁	—	2	1	no	—
694	Q₈×C₃₁	—	2	1	no	—
695	Q₈×C₃₁	—	2	1	no	—
696	Q₈×C₃₁	—	2	1	no	—
697	Q₈×C₃₁	—	4	1	no	—
698	Q₈×C₃₁	—	4	1	no	—
699	Q₈×C₃₁	—	4	1	no	—
700	Q₈×C₃₁	—	4	1	no	—
701	Q₈×C₃₁	—	4	2	no	—
702	Q₈×C₃₁	—	8	1	no	—
703	Q₈×C₃₁	—	8	1	no	—
704	D₄×C₃₁	—	2	1	no	—
705	D₄×C₃₁	—	2	1	no	—
706	D₄×C₃₁	—	2	1	no	—
707	D₄×C₃₁	—	2	1	no	—
708	D₄×C₃₁	—	2	1	no	—
709	D₄×C₃₁	—	2	1	no	—
710	D₄×C₃₁	—	2	1	no	—
711	D₄×C₃₁	—	2	1	no	—
712	D₄×C₃₁	—	4	2	no	—
713	D₄×C₃₁	—	4	2	no	—
714	D₄×C₃₁	—	4	2	no	—
715	D₄×C₃₁	—	8	1	no	—
716	D₄×C₃₁	—	8	1	no	—
717	D₄×C₃₁	—	8	1	no	—
718	D₄×C₃₁	—	8	1	no	—
719	D₄×C₃₁	—	8	1	no	—
720	C₂×C₄×C₃₁	—	2	1	no	—
721	C₂×C₄×C₃₁	—	2	1	no	—
722	C₂×C₄×C₃₁	—	2	1	no	—
723	C₂×C₄×C₃₁	—	2	1	no	—
724	C₂×C₄×C₃₁	—	2	1	no	—
725	C₂×C₄×C₃₁	—	2	1	no	—
726	C₂×C₄×C₃₁	—	2	1	no	—
727	C₂×C₄×C₃₁	—	2	1	no	—
728	C₂×C₄×C₃₁	—	2	1	no	—
729	C₂×C₄×C₃₁	—	2	1	no	—
730	C₂×C₄×C₃₁	—	2	1	no	—
731	C₂×C₄×C₃₁	—	2	1	no	—
732	C₂×C₄×C₃₁	—	2	1	no	—
733	C₂×C₄×C₃₁	—	2	1	no	—
734	C₂×C₄×C₃₁	—	4	1	no	—
735	C₂×C₄×C₃₁	—	4	1	no	—
736	C₂×C₄×C₃₁	—	4	2	no	—
737	C₂×C₄×C₃₁	—	4	2	no	—
738	C₂×C₄×C₃₁	—	4	2	no	—
739	C₂×C₄×C₃₁	—	8	1	no	—
740	C₂×C₄×C₃₁	—	8	1	no	—
741	C₂×C₄×C₃₁	—	8	1	no	—
742	C₂×C₄×C₃₁	—	8	1	no	—
743	C₂×C₄×C₃₁	—	8	1	no	—
744	C₂×C₄×C₃₁	—	8	1	no	—
745	C₂×C₄×C₃₁	—	8	1	no	—
746	C₂×C₄×C₃₁	—	8	1	no	—
747	C₂×C₄×C₃₁	—	8	1	no	—
748	C₂×C₄×C₃₁	—	8	1	no	—
749	C₂×C₄×C₃₁	—	8	1	no	—
750	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
751	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
752	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
753	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
754	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
755	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
757	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
759	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
761	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
762	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
763	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
764	C₈×C₃₁	—	2	1	no	—
765	C₈×C₃₁	—	2	1	no	—
766	C₈×C₃₁	—	2	1	no	—
767	C₈×C₃₁	—	2	1	no	—
768	C₈×C₃₁	—	2	1	no	—
769	C₈×C₃₁	—	2	1	no	—
770	C₈×C₃₁	—	2	1	no	—
771	C₈×C₃₁	—	2	1	no	—
772	#3557	C₂×C₃₁	1	1	yes	characteristic, complemented
773	#3507	C₂×C₃₁	1	1	yes	characteristic, complemented
774	#3403	C₂×C₃₁	1	1	yes	characteristic, complemented
775	#3402	C₂×C₃₁	1	1	yes	characteristic, complemented
776	#3401	C₂×C₃₁	1	1	yes	characteristic, complemented
777	#3401	C₂×C₃₁	1	1	yes	characteristic, complemented
778	#3400	C₂×C₃₁	1	1	yes	characteristic, complemented
779	#3398	C₂×C₃₁	1	1	yes	characteristic, complemented
780	#3394	C₂×C₃₁	1	1	yes	characteristic, complemented
781	#3393	C₂×C₃₁	1	1	yes	characteristic, complemented
782	#3377	C₂×C₃₁	1	1	yes	characteristic, complemented
783	#3376	C₂×C₃₁	1	1	yes	characteristic, complemented
784	#3374	C₂×C₃₁	1	1	yes	characteristic, complemented
785	#3372	C₂×C₃₁	1	1	yes	characteristic, complemented
786	#3371	C₂×C₃₁	1	1	yes	characteristic, complemented
787	#3370	C₂×C₃₁	1	1	yes	characteristic, complemented
788	#3364	C₂×C₃₁	1	1	yes	characteristic, complemented
789	#3360	C₂×C₃₁	1	1	yes	characteristic, complemented
790	#3225	C₂×C₃₁	1	1	yes	characteristic, complemented
791	#3225	C₂×C₃₁	1	1	yes	characteristic, complemented
792	#3223	C₂×C₃₁	1	1	yes	characteristic, complemented
793	#3221	C₂×C₃₁	1	1	yes	characteristic, complemented
794	#3219	C₂×C₃₁	1	1	yes	characteristic, complemented
795	#3212	C₂×C₃₁	1	1	yes	characteristic, complemented
796	#3125	C₂×C₃₁	1	1	yes	characteristic, complemented
797	#3124	C₂×C₃₁	1	1	yes	characteristic, complemented
798	#3120	C₂×C₃₁	1	1	yes	characteristic, complemented
799	#3119	C₂×C₃₁	1	1	yes	characteristic, complemented
800	#3117	C₂×C₃₁	1	1	yes	characteristic, complemented
801	#3108	C₂×C₃₁	1	1	yes	characteristic, complemented
802	#2985	C₂×C₃₁	1	1	yes	characteristic, complemented
803	C₂²×C₃₁	—	2	1	no	—
804	C₂²×C₃₁	—	2	1	no	—
805	C₂²×C₃₁	—	2	1	no	—
806	C₂²×C₃₁	—	4	1	no	—
807	C₂²×C₃₁	—	4	1	no	—
808	C₂²×C₃₁	—	4	1	no	—
809	C₂²×C₃₁	—	4	1	no	—
810	C₂²×C₃₁	—	4	1	no	—
811	C₂²×C₃₁	—	4	1	no	—
812	C₂²×C₃₁	—	4	1	no	—
813	C₂²×C₃₁	—	4	1	no	—
814	C₂²×C₃₁	—	4	1	no	—
815	C₂²×C₃₁	—	4	1	no	—
816	C₂²×C₃₁	—	4	1	no	—
817	C₂²×C₃₁	—	4	1	no	—
818	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
819	C₄×C₃₁	—	2	1	no	—
820	C₄×C₃₁	—	2	1	no	—
821	C₄×C₃₁	—	2	1	no	—
822	C₄×C₃₁	—	2	1	no	—
823	C₄×C₃₁	—	2	1	no	—
824	C₄×C₃₁	—	2	1	no	—
825	C₄×C₃₁	—	2	1	no	—
826	C₄×C₃₁	—	2	1	no	—
827	C₄×C₃₁	—	2	1	no	—
828	C₄×C₃₁	—	2	1	no	—
829	C₄×C₃₁	—	2	1	no	—
830	C₄×C₃₁	—	2	1	no	—
831	C₄×C₃₁	—	2	1	no	—
832	C₄×C₃₁	—	4	1	no	—
833	C₄×C₃₁	—	4	1	no	—
834	C₄×C₃₁	—	4	1	no	—
835	C₄×C₃₁	—	4	1	no	—
836	C₄×C₃₁	—	4	1	no	—
837	C₄×C₃₁	—	4	1	no	—
838	C₄×C₃₁	—	4	1	no	—
839	C₄×C₃₁	—	4	1	no	—
840	C₄×C₃₁	—	4	1	no	—
841	C₄×C₃₁	—	4	1	no	—
842	C₄×C₃₁	—	4	1	no	—
843	C₄×C₃₁	—	4	1	no	—
844	C₄×C₃₁	#585	1	1	yes	characteristic
845	C₄×C₃₁	#585	1	1	yes	characteristic
846	#563	—	2	1	no	—
847	#563	—	2	1	no	—
848	#559	C₂²×C₃₁	1	1	yes	characteristic
849	#559	C₂²×C₃₁	1	1	yes	characteristic
850	#559	C₂²×C₃₁	1	1	yes	characteristic
851	#559	C₂²×C₃₁	1	1	yes	characteristic
852	#557	C₂²×C₃₁	1	1	yes	characteristic
853	#557	C₂²×C₃₁	1	1	yes	characteristic
854	#557	C₂²×C₃₁	1	1	yes	characteristic
855	#557	C₂²×C₃₁	1	1	yes	characteristic
856	#556	—	2	1	no	—
857	#556	C₂²×C₃₁	1	1	yes	characteristic
858	#556	C₂²×C₃₁	1	1	yes	characteristic
859	#556	C₂²×C₃₁	1	1	yes	characteristic
860	#556	C₂²×C₃₁	1	1	yes	characteristic
861	#556	C₂²×C₃₁	1	1	yes	characteristic
862	#556	C₂²×C₃₁	1	1	yes	characteristic
863	#554	—	2	1	no	—
864	#554	C₂²×C₃₁	1	1	yes	characteristic
865	#554	C₂²×C₃₁	1	1	yes	characteristic
866	#552	—	2	1	no	—
867	#552	—	2	1	no	—
868	#552	—	2	1	no	—
869	#552	—	2	1	no	—
870	#542	—	2	1	no	—
871	#542	—	2	1	no	—
872	#542	C₂²×C₃₁	1	1	yes	characteristic
873	#542	C₂²×C₃₁	1	1	yes	characteristic
874	#541	C₂²×C₃₁	1	1	yes	characteristic
875	#540	C₂²×C₃₁	1	1	yes	characteristic
876	#539	—	2	1	no	—
877	#539	—	2	1	no	—
878	#539	—	2	1	no	—
879	#539	—	2	1	no	—
880	#536	C₂²×C₃₁	1	1	yes	characteristic
881	#536	C₂²×C₃₁	1	1	yes	characteristic
882	#533	C₂²×C₃₁	1	1	yes	characteristic
883	#532	C₂²×C₃₁	1	1	yes	characteristic
884	#529	—	2	1	no	—
885	#529	—	2	1	no	—
886	#529	C₂²×C₃₁	1	1	yes	characteristic
887	#529	C₂²×C₃₁	1	1	yes	characteristic
888	#520	C₂²×C₃₁	1	1	yes	characteristic
889	#520	C₂²×C₃₁	1	1	yes	characteristic
890	C₂×C₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
891	#497	C₂²×C₃₁	1	1	yes	characteristic
892	#497	C₂²×C₃₁	1	1	yes	characteristic
893	#497	C₂²×C₃₁	1	1	yes	characteristic
894	#497	C₂²×C₃₁	1	1	yes	characteristic
895	#496	C₂²×C₃₁	1	1	yes	characteristic
896	#496	C₂²×C₃₁	1	1	yes	characteristic
897	#495	C₂²×C₃₁	1	1	yes	characteristic
898	#495	C₂²×C₃₁	1	1	yes	characteristic
899	#495	C₂²×C₃₁	1	1	yes	characteristic
900	#495	C₂²×C₃₁	1	1	yes	characteristic
901	#494	C₂²×C₃₁	1	1	yes	characteristic
902	#492	C₂²×C₃₁	1	1	yes	characteristic
903	#491	C₂²×C₃₁	1	1	yes	characteristic
904	#491	C₂²×C₃₁	1	1	yes	characteristic
905	#491	C₂²×C₃₁	1	1	yes	characteristic
906	#490	C₂²×C₃₁	1	1	yes	characteristic
907	#489	C₂²×C₃₁	1	1	yes	characteristic
908	#489	C₂²×C₃₁	1	1	yes	characteristic
909	#488	C₂²×C₃₁	1	1	yes	characteristic
910	#488	C₂²×C₃₁	1	1	yes	characteristic
911	#488	C₂²×C₃₁	1	1	yes	characteristic
912	#488	C₂²×C₃₁	1	1	yes	characteristic
913	#487	C₂²×C₃₁	1	1	yes	characteristic
914	#487	C₂²×C₃₁	1	1	yes	characteristic
915	#484	C₂²×C₃₁	1	1	yes	characteristic
916	#483	C₂²×C₃₁	1	1	yes	characteristic
917	#481	C₂²×C₃₁	1	1	yes	characteristic
918	#480	C₂²×C₃₁	1	1	yes	characteristic
919	#479	C₂²×C₃₁	1	1	yes	characteristic
920	#479	C₂²×C₃₁	1	1	yes	characteristic
921	#479	C₂²×C₃₁	1	1	yes	characteristic
922	#479	C₂²×C₃₁	1	1	yes	characteristic
923	#479	C₂²×C₃₁	1	1	yes	characteristic
924	#479	C₂²×C₃₁	1	1	yes	characteristic
925	#478	C₂²×C₃₁	1	1	yes	characteristic
926	#478	C₂²×C₃₁	1	1	yes	characteristic
927	#477	C₂²×C₃₁	1	1	yes	characteristic
928	#476	C₂²×C₃₁	1	1	yes	characteristic
929	#475	C₂²×C₃₁	1	1	yes	characteristic
930	#474	C₂²×C₃₁	1	1	yes	characteristic
931	#464	C₂²×C₃₁	1	1	yes	characteristic
932	#464	C₂²×C₃₁	1	1	yes	characteristic
933	#464	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	#464	C₂²×C₃₁	1	1	yes	characteristic
939	#464	C₂²×C₃₁	1	1	yes	characteristic
940	#464	C₂²×C₃₁	1	1	yes	characteristic
941	#464	C₂²×C₃₁	1	1	yes	characteristic
942	#464	C₂²×C₃₁	1	1	yes	characteristic
943	#463	C₂²×C₃₁	1	1	yes	characteristic
944	#463	C₂²×C₃₁	1	1	yes	characteristic
945	#463	C₂²×C₃₁	1	1	yes	characteristic
946	#463	C₂²×C₃₁	1	1	yes	characteristic
947	#463	C₂²×C₃₁	1	1	yes	characteristic
948	#463	C₂²×C₃₁	1	1	yes	characteristic
949	#463	C₂²×C₃₁	1	1	yes	characteristic
950	#463	C₂²×C₃₁	1	1	yes	characteristic
951	#462	C₂²×C₃₁	1	1	yes	characteristic
952	#462	C₂²×C₃₁	1	1	yes	characteristic
953	#462	C₂²×C₃₁	1	1	yes	characteristic
954	#462	C₂²×C₃₁	1	1	yes	characteristic
955	#462	C₂²×C₃₁	1	1	yes	characteristic
956	#462	C₂²×C₃₁	1	1	yes	characteristic
957	#461	C₂²×C₃₁	1	1	yes	characteristic
958	#461	C₂²×C₃₁	1	1	yes	characteristic
959	#461	C₂²×C₃₁	1	1	yes	characteristic
960	#461	C₂²×C₃₁	1	1	yes	characteristic
961	#461	C₂²×C₃₁	1	1	yes	characteristic
962	#461	C₂²×C₃₁	1	1	yes	characteristic
963	#460	C₂²×C₃₁	1	1	yes	characteristic
964	#460	C₂²×C₃₁	1	1	yes	characteristic
965	#459	C₂²×C₃₁	1	1	yes	characteristic
966	#459	C₂²×C₃₁	1	1	yes	characteristic
967	#452	C₂²×C₃₁	1	1	yes	characteristic
968	#452	C₂²×C₃₁	1	1	yes	characteristic
969	#452	C₂²×C₃₁	1	1	yes	characteristic
970	#452	C₂²×C₃₁	1	1	yes	characteristic
971	#451	C₂²×C₃₁	1	1	yes	characteristic
972	#451	C₂²×C₃₁	1	1	yes	characteristic
973	#449	C₂²×C₃₁	1	1	yes	characteristic
974	#449	C₂²×C₃₁	1	1	yes	characteristic
975	#449	C₂²×C₃₁	1	1	yes	characteristic
976	#449	C₂²×C₃₁	1	1	yes	characteristic
977	#448	C₂²×C₃₁	1	1	yes	characteristic
978	#448	C₂²×C₃₁	1	1	yes	characteristic
979	#446	C₂²×C₃₁	1	1	yes	characteristic
980	#446	C₂²×C₃₁	1	1	yes	characteristic
981	#446	C₂²×C₃₁	1	1	yes	characteristic
982	#446	C₂²×C₃₁	1	1	yes	characteristic
983	#446	C₂²×C₃₁	1	1	yes	characteristic
984	#446	C₂²×C₃₁	1	1	yes	characteristic
985	C₈×Q₈	C₂²×C₃₁	1	1	yes	characteristic
986	C₈×Q₈	C₂²×C₃₁	1	1	yes	characteristic
987	#442	C₂²×C₃₁	1	1	yes	characteristic
988	#442	C₂²×C₃₁	1	1	yes	characteristic
989	#441	C₂²×C₃₁	1	1	yes	characteristic
990	#441	C₂²×C₃₁	1	1	yes	characteristic
991	#441	C₂²×C₃₁	1	1	yes	characteristic
992	#441	C₂²×C₃₁	1	1	yes	characteristic
993	#440	C₂²×C₃₁	1	1	yes	characteristic
994	#440	C₂²×C₃₁	1	1	yes	characteristic
995	#440	C₂²×C₃₁	1	1	yes	characteristic
996	#440	C₂²×C₃₁	1	1	yes	characteristic
997	#440	C₂²×C₃₁	1	1	yes	characteristic
998	#440	C₂²×C₃₁	1	1	yes	characteristic
999	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
1000	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
1001	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
1002	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
1003	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1004	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1005	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1006	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1007	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1008	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1009	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic
1010	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic
1011	#433	C₂²×C₃₁	1	1	yes	characteristic
1012	#433	C₂²×C₃₁	1	1	yes	characteristic
1013	#433	C₂²×C₃₁	1	1	yes	characteristic
1014	#433	C₂²×C₃₁	1	1	yes	characteristic
1015	#432	C₂²×C₃₁	1	1	yes	characteristic
1016	#431	C₂²×C₃₁	1	1	yes	characteristic
1017	C₂×C₃₁	—	4	1	no	—
1018	C₂×C₃₁	—	8	1	no	—
1019	C₂×C₃₁	—	8	1	no	—
1020	C₂×C₃₁	—	8	1	no	—
1021	C₂×C₃₁	—	8	1	no	—
1022	C₂×C₃₁	#3487	1	1	yes	characteristic
1023	C₂×C₃₁	#3584	1	1	yes	characteristic
1024	C₂×C₃₁	#3586	1	1	yes	characteristic
1025	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1026	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1027	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1028	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1029	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1030	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1031	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1032	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1033	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1034	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1035	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1036	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1037	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1038	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1039	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1040	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1041	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1042	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1043	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1044	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1045	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1046	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1047	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1048	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1049	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1050	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1051	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1052	C₄⋊Q₈	—	2	1	no	—
1053	C₄⋊Q₈	—	2	1	no	—
1054	C₄⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1055	C₄⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1056	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1057	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1058	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1059	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1060	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1061	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1062	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1063	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1064	#127	C₂³×C₃₁	1	1	yes	characteristic
1065	#127	C₂³×C₃₁	1	1	yes	characteristic
1066	#126	—	2	1	no	—
1067	#126	—	2	1	no	—
1068	#126	—	2	1	no	—
1069	#126	—	2	1	no	—
1070	#126	—	2	1	no	—
1071	#126	—	2	1	no	—
1072	#126	—	2	1	no	—
1073	#126	—	2	1	no	—
1074	#126	—	2	1	no	—
1075	#126	—	2	1	no	—
1076	#126	—	2	1	no	—
1077	#126	—	2	1	no	—
1078	#126	—	2	1	no	—
1079	#126	—	2	1	no	—
1080	#126	—	2	1	no	—
1081	#126	—	2	1	no	—
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#125	—	2	1	no	—
1085	#125	—	2	1	no	—
1086	#125	—	2	1	no	—
1087	#125	—	2	1	no	—
1088	#125	—	2	1	no	—
1089	#125	—	2	1	no	—
1090	#125	—	2	1	no	—
1091	#125	—	2	1	no	—
1092	#125	—	2	1	no	—
1093	#125	—	2	1	no	—
1094	#125	—	2	1	no	—
1095	#125	—	2	1	no	—
1096	#125	D₄×C₃₁	1	1	yes	characteristic
1097	#125	D₄×C₃₁	1	1	yes	characteristic
1098	#125	C₂³×C₃₁	1	1	yes	characteristic
1099	#125	C₂³×C₃₁	1	1	yes	characteristic
1100	#125	C₂³×C₃₁	1	1	yes	characteristic
1101	#125	C₂³×C₃₁	1	1	yes	characteristic
1102	#124	—	2	1	no	—
1103	#124	—	2	1	no	—
1104	#124	—	2	1	no	—
1105	#124	—	2	1	no	—
1106	#124	—	2	1	no	—
1107	#124	—	2	1	no	—
1108	#124	C₂³×C₃₁	1	1	yes	characteristic
1109	#124	C₂³×C₃₁	1	1	yes	characteristic
1110	#124	C₂³×C₃₁	1	1	yes	characteristic
1111	#124	C₂³×C₃₁	1	1	yes	characteristic
1112	#124	C₂³×C₃₁	1	1	yes	characteristic
1113	#124	C₂³×C₃₁	1	1	yes	characteristic
1114	#124	C₂³×C₃₁	1	1	yes	characteristic
1115	#124	C₂³×C₃₁	1	1	yes	characteristic
1116	#124	C₂³×C₃₁	1	1	yes	characteristic
1117	#124	C₂³×C₃₁	1	1	yes	characteristic
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
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	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	2	1	no	—
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1155	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1156	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1157	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1158	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1159	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1160	#121	—	2	1	no	—
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
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	C₂³×C₃₁	1	1	yes	characteristic
1173	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1174	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1175	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1176	C₄×Q₈	C₂³×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×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
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	C₂³×C₃₁	1	1	yes	characteristic
1203	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1204	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1205	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1206	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1207	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1208	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1209	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1210	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1211	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1212	#117	—	2	1	no	—
1213	#117	—	2	1	no	—
1214	#117	—	2	1	no	—
1215	#117	—	2	1	no	—
1216	#117	—	2	1	no	—
1217	#117	—	2	1	no	—
1218	#117	—	2	1	no	—
1219	#117	—	2	1	no	—
1220	#117	—	2	1	no	—
1221	#117	—	2	1	no	—
1222	#117	C₂³×C₃₁	1	1	yes	characteristic
1223	#117	C₂³×C₃₁	1	1	yes	characteristic
1224	C₂×C₄⋊C₄	—	2	1	no	—
1225	C₂×C₄⋊C₄	—	2	1	no	—
1226	C₂×C₄⋊C₄	—	2	1	no	—
1227	C₂×C₄⋊C₄	—	2	1	no	—
1228	C₂×C₄⋊C₄	—	2	1	no	—
1229	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1230	C₂×C₄²	—	2	1	no	—
1231	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1232	#107	C₂³×C₃₁	1	1	yes	characteristic
1233	#107	C₂³×C₃₁	1	1	yes	characteristic
1234	#107	C₂³×C₃₁	1	1	yes	characteristic
1235	#107	C₂³×C₃₁	1	1	yes	characteristic
1236	#106	C₂³×C₃₁	1	1	yes	characteristic
1237	#106	C₂³×C₃₁	1	1	yes	characteristic
1238	#106	C₂³×C₃₁	1	1	yes	characteristic
1239	#106	C₂³×C₃₁	1	1	yes	characteristic
1240	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1241	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1242	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1243	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1244	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1245	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1246	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1247	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1248	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1249	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1250	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1251	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1252	#103	C₂³×C₃₁	1	1	yes	characteristic
1253	#103	C₂³×C₃₁	1	1	yes	characteristic
1254	#103	C₂³×C₃₁	1	1	yes	characteristic
1255	#103	C₂³×C₃₁	1	1	yes	characteristic
1256	#103	C₂³×C₃₁	1	1	yes	characteristic
1257	#103	C₂³×C₃₁	1	1	yes	characteristic
1258	#103	C₂³×C₃₁	1	1	yes	characteristic
1259	#103	C₂³×C₃₁	1	1	yes	characteristic
1260	#103	C₂³×C₃₁	1	1	yes	characteristic
1261	#103	C₂³×C₃₁	1	1	yes	characteristic
1262	#103	C₂³×C₃₁	1	1	yes	characteristic
1263	#103	C₂³×C₃₁	1	1	yes	characteristic
1264	#103	C₂³×C₃₁	1	1	yes	characteristic
1265	#103	C₂³×C₃₁	1	1	yes	characteristic
1266	#103	C₂³×C₃₁	1	1	yes	characteristic
1267	#103	C₂³×C₃₁	1	1	yes	characteristic
1268	#103	C₂³×C₃₁	1	1	yes	characteristic
1269	#103	C₂³×C₃₁	1	1	yes	characteristic
1270	#103	C₂³×C₃₁	1	1	yes	characteristic
1271	#103	C₂³×C₃₁	1	1	yes	characteristic
1272	#102	C₂³×C₃₁	1	1	yes	characteristic
1273	#102	C₂³×C₃₁	1	1	yes	characteristic
1274	#102	C₂³×C₃₁	1	1	yes	characteristic
1275	#102	C₂³×C₃₁	1	1	yes	characteristic
1276	#102	C₂³×C₃₁	1	1	yes	characteristic
1277	#102	C₂³×C₃₁	1	1	yes	characteristic
1278	#102	C₂³×C₃₁	1	1	yes	characteristic
1279	#102	C₂³×C₃₁	1	1	yes	characteristic
1280	#102	C₂³×C₃₁	1	1	yes	characteristic
1281	#102	C₂³×C₃₁	1	1	yes	characteristic
1282	#102	C₂³×C₃₁	1	1	yes	characteristic
1283	#102	C₂³×C₃₁	1	1	yes	characteristic
1284	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1285	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1286	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1287	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1288	#97	C₂³×C₃₁	1	1	yes	characteristic
1289	#97	C₂³×C₃₁	1	1	yes	characteristic
1290	#97	C₂³×C₃₁	1	1	yes	characteristic
1291	#97	C₂³×C₃₁	1	1	yes	characteristic
1292	#97	C₂³×C₃₁	1	1	yes	characteristic
1293	#97	C₂³×C₃₁	1	1	yes	characteristic
1294	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1295	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1296	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1297	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1298	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1299	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1300	C₃₁	#61918	1	1	yes	characteristic, direct product factor, Sylow
1301	#41	—	4	1	no	—
1302	#41	—	4	1	no	—
1303	#41	—	4	1	no	—
1304	#41	—	4	1	no	—
1305	C₂×Q₈	—	2	1	no	—
1306	C₂×Q₈	—	2	1	no	—
1307	C₂×Q₈	—	2	1	no	—
1308	C₂×Q₈	—	4	1	no	—
1309	C₂×Q₈	—	4	1	no	—
1310	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1311	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1312	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1313	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1314	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1315	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1316	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1317	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1318	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1319	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1320	C₂×D₄	—	2	1	no	—
1321	C₂×D₄	—	2	1	no	—
1322	C₂×D₄	—	2	1	no	—
1323	C₂×D₄	—	2	1	no	—
1324	C₂×D₄	—	2	1	no	—
1325	C₂×D₄	—	2	1	no	—
1326	C₂×D₄	—	2	1	no	—
1327	C₂×D₄	—	2	1	no	—
1328	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1329	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1330	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1331	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1332	C₂²×C₄	—	2	1	no	—
1333	C₂²×C₄	—	2	1	no	—
1334	C₂²×C₄	—	2	1	no	—
1335	C₂²×C₄	—	2	1	no	—
1336	C₂²×C₄	—	2	1	no	—
1337	C₂²×C₄	—	2	1	no	—
1338	C₂²×C₄	—	2	1	no	—
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	2	1	no	—
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	—	2	1	no	—
1345	C₂²×C₄	—	2	1	no	—
1346	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1347	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1348	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1349	Q₁₆	—	4	1	no	—
1350	Q₁₆	—	4	1	no	—
1351	Q₁₆	—	4	1	no	—
1352	Q₁₆	—	4	1	no	—
1353	Q₁₆	—	4	1	no	—
1354	Q₁₆	—	4	1	no	—
1355	Q₁₆	—	4	1	no	—
1356	Q₁₆	—	4	1	no	—
1357	SD₁₆	—	4	1	no	—
1358	SD₁₆	—	4	1	no	—
1359	SD₁₆	—	4	1	no	—
1360	SD₁₆	—	4	1	no	—
1361	SD₁₆	—	4	1	no	—
1362	SD₁₆	—	4	1	no	—
1363	SD₁₆	—	4	1	no	—
1364	SD₁₆	—	4	1	no	—
1365	SD₁₆	—	4	1	no	—
1366	SD₁₆	—	4	1	no	—
1367	SD₁₆	—	4	1	no	—
1368	SD₁₆	—	4	1	no	—
1369	D₈	—	4	1	no	—
1370	D₈	—	4	1	no	—
1371	D₈	—	4	1	no	—
1372	D₈	—	4	1	no	—
1373	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1374	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1375	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1376	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1377	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1378	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1379	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1380	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1421	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1422	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1423	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1424	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1425	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1426	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1427	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1428	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1429	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1430	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1431	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1432	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1433	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1434	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1435	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1436	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1437	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1438	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1439	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1440	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1441	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1477	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1478	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1479	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1480	C₄²	—	2	1	no	—
1481	C₄²	—	2	1	no	—
1482	C₄²	—	2	1	no	—
1483	C₄²	—	2	1	no	—
1484	C₄²	—	2	1	no	—
1485	C₄²	—	2	1	no	—
1486	C₄²	—	2	1	no	—
1487	C₄²	—	2	1	no	—
1488	C₄²	—	2	1	no	—
1489	C₄²	—	2	1	no	—
1490	C₄²	—	2	1	no	—
1491	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	2	1	no	—
1494	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1495	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1496	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1497	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1498	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1499	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1500	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1501	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1502	C₂³	—	2	1	no	—
1503	C₂³	—	2	1	no	—
1504	C₂³	—	2	1	no	—
1505	C₂³	—	2	1	no	—
1506	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1507	Q₈	—	2	1	no	—
1508	Q₈	—	2	1	no	—
1509	Q₈	—	2	1	no	—
1510	Q₈	—	2	1	no	—
1511	Q₈	—	2	1	no	—
1512	Q₈	—	2	1	no	—
1513	Q₈	—	2	1	no	—
1514	Q₈	—	2	1	no	—
1515	Q₈	—	2	1	no	—
1516	Q₈	—	2	1	no	—
1517	Q₈	—	2	1	no	—
1518	Q₈	—	2	1	no	—
1519	Q₈	—	4	1	no	—
1520	Q₈	—	4	1	no	—
1521	Q₈	—	4	1	no	—
1522	Q₈	—	4	1	no	—
1523	Q₈	—	4	2	no	—
1524	Q₈	—	8	1	no	—
1525	Q₈	—	8	1	no	—
1526	D₄	—	2	1	no	—
1527	D₄	—	2	1	no	—
1528	D₄	—	2	1	no	—
1529	D₄	—	2	1	no	—
1530	D₄	—	2	1	no	—
1531	D₄	—	2	1	no	—
1532	D₄	—	2	1	no	—
1533	D₄	—	2	1	no	—
1534	D₄	—	4	2	no	—
1535	D₄	—	4	2	no	—
1536	D₄	—	4	2	no	—
1537	D₄	—	8	1	no	—
1538	D₄	—	8	1	no	—
1539	D₄	—	8	1	no	—
1540	D₄	—	8	1	no	—
1541	D₄	—	8	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	4	1	no	—
1557	C₂×C₄	—	4	1	no	—
1558	C₂×C₄	—	4	2	no	—
1559	C₂×C₄	—	4	2	no	—
1560	C₂×C₄	—	4	2	no	—
1561	C₂×C₄	—	8	1	no	—
1562	C₂×C₄	—	8	1	no	—
1563	C₂×C₄	—	8	1	no	—
1564	C₂×C₄	—	8	1	no	—
1565	C₂×C₄	—	8	1	no	—
1566	C₂×C₄	—	8	1	no	—
1567	C₂×C₄	—	8	1	no	—
1568	C₂×C₄	—	8	1	no	—
1569	C₂×C₄	—	8	1	no	—
1570	C₂×C₄	—	8	1	no	—
1571	C₂×C₄	—	8	1	no	—
1572	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1573	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1574	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1575	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1576	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1577	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1578	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1579	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1580	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1581	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1582	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1583	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1584	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1585	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1586	C₈	—	2	1	no	—
1587	C₈	—	2	1	no	—
1588	C₈	—	2	1	no	—
1589	C₈	—	2	1	no	—
1590	C₈	—	2	1	no	—
1591	C₈	—	2	1	no	—
1592	C₈	—	2	1	no	—
1593	C₈	—	2	1	no	—
1594	C₂²	—	2	1	no	—
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	4	1	no	—
1598	C₂²	—	4	1	no	—
1599	C₂²	—	4	1	no	—
1600	C₂²	—	4	1	no	—
1601	C₂²	—	4	1	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	4	1	no	—
1609	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1610	C₄	—	2	1	no	—
1611	C₄	—	2	1	no	—
1612	C₄	—	2	1	no	—
1613	C₄	—	2	1	no	—
1614	C₄	—	2	1	no	—
1615	C₄	—	2	1	no	—
1616	C₄	—	2	1	no	—
1617	C₄	—	2	1	no	—
1618	C₄	—	2	1	no	—
1619	C₄	—	2	1	no	—
1620	C₄	—	2	1	no	—
1621	C₄	—	2	1	no	—
1622	C₄	—	2	1	no	—
1623	C₄	—	4	1	no	—
1624	C₄	—	4	1	no	—
1625	C₄	—	4	1	no	—
1626	C₄	—	4	1	no	—
1627	C₄	—	4	1	no	—
1628	C₄	—	4	1	no	—
1629	C₄	—	4	1	no	—
1630	C₄	—	4	1	no	—
1631	C₄	—	4	1	no	—
1632	C₄	—	4	1	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	C₃₁×#585	1	1	yes	characteristic
1636	C₄	C₃₁×#585	1	1	yes	characteristic
1637	C₂	—	4	1	no	—
1638	C₂	—	8	1	no	—
1639	C₂	—	8	1	no	—
1640	C₂	—	8	1	no	—
1641	C₂	—	8	1	no	—
1642	C₂	C₃₁×#3487	1	1	yes	characteristic
1643	C₂	C₃₁×#3584	1	1	yes	characteristic
1644	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 ◁ 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×#3507	C₂	semidirect
3. C₃₁×#3403	C₂	semidirect
4. C₃₁×#3402	C₂	semidirect
5. C₃₁×#3401	C₂	semidirect
6. C₃₁×#3401	C₂	semidirect
7. C₃₁×#3400	C₂	semidirect
8. C₃₁×#3398	C₂	semidirect
9. C₃₁×#3394	C₂	semidirect
10. C₃₁×#3393	C₂	semidirect
11. C₃₁×#3377	C₂	semidirect
12. C₃₁×#3376	C₂	semidirect
13. C₃₁×#3374	C₂	semidirect
14. C₃₁×#3372	C₂	semidirect
15. C₃₁×#3371	C₂	semidirect
16. C₃₁×#3370	C₂	semidirect
17. C₃₁×#3364	C₂	semidirect
18. C₃₁×#3360	C₂	semidirect
19. C₃₁×#3225	C₂	semidirect
20. C₃₁×#3225	C₂	semidirect
21. C₃₁×#3223	C₂	semidirect
22. C₃₁×#3221	C₂	semidirect
23. C₃₁×#3219	C₂	semidirect
24. C₃₁×#3212	C₂	semidirect
25. C₃₁×#3125	C₂	semidirect
26. C₃₁×#3124	C₂	semidirect
27. C₃₁×#3120	C₂	semidirect
28. C₃₁×#3119	C₂	semidirect
29. C₃₁×#3117	C₂	semidirect
30. C₃₁×#3108	C₂	semidirect
31. C₃₁×#2985	C₂	semidirect
679. #61918	C₃₁	direct (N × H)
772. #3557	C₂×C₃₁	semidirect
773. #3507	C₂×C₃₁	semidirect
774. #3403	C₂×C₃₁	semidirect
775. #3402	C₂×C₃₁	semidirect
776. #3401	C₂×C₃₁	semidirect
777. #3401	C₂×C₃₁	semidirect
778. #3400	C₂×C₃₁	semidirect
779. #3398	C₂×C₃₁	semidirect
780. #3394	C₂×C₃₁	semidirect
781. #3393	C₂×C₃₁	semidirect
782. #3377	C₂×C₃₁	semidirect
783. #3376	C₂×C₃₁	semidirect
784. #3374	C₂×C₃₁	semidirect
785. #3372	C₂×C₃₁	semidirect
786. #3371	C₂×C₃₁	semidirect
787. #3370	C₂×C₃₁	semidirect
788. #3364	C₂×C₃₁	semidirect
789. #3360	C₂×C₃₁	semidirect
790. #3225	C₂×C₃₁	semidirect
791. #3225	C₂×C₃₁	semidirect
792. #3223	C₂×C₃₁	semidirect
793. #3221	C₂×C₃₁	semidirect
794. #3219	C₂×C₃₁	semidirect
795. #3212	C₂×C₃₁	semidirect
796. #3125	C₂×C₃₁	semidirect
797. #3124	C₂×C₃₁	semidirect
798. #3120	C₂×C₃₁	semidirect
799. #3119	C₂×C₃₁	semidirect
800. #3117	C₂×C₃₁	semidirect
801. #3108	C₂×C₃₁	semidirect
802. #2985	C₂×C₃₁	semidirect
1300. C₃₁	#61918	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×#3507	2
C₃₁×#3403	2
C₃₁×#3402	2
C₃₁×#3401	2
C₃₁×#3400	2
C₃₁×#3398	2
C₃₁×#3394	2
C₃₁×#3393	2
C₃₁×#3377	2
C₃₁×#3376	2
C₃₁×#3374	2
C₃₁×#3372	2
C₃₁×#3371	2
C₃₁×#3370	2
C₃₁×#3364	2
C₃₁×#3360	2
C₃₁×#3225	2
C₃₁×#3223	2
C₃₁×#3221	2
C₃₁×#3219	2
C₃₁×#3212	2
C₃₁×#3125	2
C₃₁×#3124	2
C₃₁×#3120	2
C₃₁×#3119	2
C₃₁×#3117	2
C₃₁×#3108	2
C₃₁×#2985	2
#61918	31

Subgroups — C31×#61918 #21518677

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61918 #21518677