Subgroups — C₃₁×#62614 #21519373

Order 7936.

1734 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3565	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3558	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3371	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3365	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3327	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3326	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3325	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3324	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3323	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3322	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3321	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3318	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3313	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3310	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3297	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3296	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×#3228	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3224	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3224	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3211	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3175	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3173	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3171	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#3140	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#3136	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃₁×#3136	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃₁×#2969	C₂	1	1	yes	maximal, characteristic, complemented
32	C₃₁×#563	—	2	1	no	—
33	C₃₁×#562	—	2	1	no	—
34	C₃₁×#562	—	2	1	no	—
35	C₃₁×H(3,𝔽₄)	—	2	1	no	—
36	C₃₁×#559	C₂²	1	1	yes	characteristic
37	C₃₁×#559	C₂²	1	1	yes	characteristic
38	C₃₁×#557	C₂²	1	1	yes	characteristic, complemented
39	C₃₁×#556	—	2	1	no	—
40	C₃₁×#556	C₂²	1	1	yes	characteristic, complemented
41	C₃₁×#555	C₂²	1	1	yes	characteristic, complemented
42	C₃₁×#554	C₂²	1	1	yes	characteristic, complemented
43	C₃₁×#553	C₂²	1	1	yes	characteristic, complemented
44	C₃₁×#553	C₂²	1	1	yes	characteristic, complemented
45	C₃₁×#552	—	2	1	no	—
46	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
47	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
48	C₃₁×#548	C₂²	1	1	yes	characteristic
49	C₃₁×#548	C₂²	1	1	yes	characteristic
50	C₃₁×#546	—	2	1	no	—
51	C₃₁×#546	—	2	1	no	—
52	C₃₁×#546	C₂²	1	1	yes	characteristic
53	C₃₁×#546	C₂²	1	1	yes	characteristic
54	D₄²×C₃₁	C₂²	1	1	yes	characteristic
55	D₄²×C₃₁	C₂²	1	1	yes	characteristic
56	C₃₁×#544	C₂²	1	1	yes	characteristic, complemented
57	C₃₁×#544	C₂²	1	1	yes	characteristic, complemented
58	C₃₁×#542	—	2	1	no	—
59	C₃₁×#542	—	2	1	no	—
60	C₃₁×#542	C₂²	1	1	yes	characteristic
61	C₃₁×#542	C₂²	1	1	yes	characteristic
62	C₃₁×#542	C₂²	1	1	yes	characteristic, complemented
63	C₃₁×#542	C₂²	1	1	yes	characteristic, complemented
64	C₃₁×#541	—	2	1	no	—
65	C₃₁×#539	—	2	1	no	—
66	C₃₁×#538	—	2	1	no	—
67	C₃₁×#538	—	2	1	no	—
68	C₃₁×#538	—	2	1	no	—
69	C₃₁×#535	C₂²	1	1	yes	characteristic
70	C₃₁×#535	C₂²	1	1	yes	characteristic
71	C₃₁×#534	—	2	1	no	—
72	C₃₁×#533	C₂²	1	1	yes	characteristic, complemented
73	C₃₁×#532	C₂²	1	1	yes	characteristic
74	C₃₁×#529	C₂²	1	1	yes	characteristic
75	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₃₁×#124	C₂²	1	1	yes	characteristic
77	C₃₁×#501	C₂²	1	1	yes	characteristic, complemented
78	C₃₁×#500	C₂²	1	1	yes	characteristic, complemented
79	C₃₁×#498	C₂²	1	1	yes	characteristic, complemented
80	C₃₁×#496	C₂²	1	1	yes	characteristic, complemented
81	C₃₁×#495	C₂²	1	1	yes	characteristic, complemented
82	C₃₁×#495	C₂²	1	1	yes	characteristic, complemented
83	C₃₁×#490	C₂²	1	1	yes	characteristic
84	C₃₁×#490	C₂²	1	1	yes	characteristic
85	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
86	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
87	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
88	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
89	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
90	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
91	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
92	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
93	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
94	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
95	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
96	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
97	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
98	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
99	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
100	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
101	C₃₁×#486	C₂²	1	1	yes	characteristic
102	C₃₁×#486	C₂²	1	1	yes	characteristic
103	C₃₁×#486	C₂²	1	1	yes	characteristic, complemented
104	C₃₁×#486	C₂²	1	1	yes	characteristic, complemented
105	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
106	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
108	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#482	C₂²	1	1	yes	characteristic
110	C₃₁×#482	C₂²	1	1	yes	characteristic
111	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
113	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
114	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
115	C₃₁×#481	C₂²	1	1	yes	characteristic
116	C₃₁×#480	C₂²	1	1	yes	characteristic
117	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
118	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
119	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
120	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
121	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
122	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
123	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
124	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
125	C₃₁×#477	C₂²	1	1	yes	characteristic, complemented
126	C₃₁×#476	C₂²	1	1	yes	characteristic, complemented
127	C₃₁×#475	C₂²	1	1	yes	characteristic, complemented
128	C₃₁×#474	C₂²	1	1	yes	characteristic, complemented
129	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
130	C₃₁×#469	C₂²	1	1	yes	characteristic
131	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
132	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
133	C₃₁×#468	C₂²	1	1	yes	characteristic
134	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
135	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
136	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
137	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
138	C₃₁×#466	C₂²	1	1	yes	characteristic
139	C₃₁×#465	C₂²	1	1	yes	characteristic
140	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
141	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
142	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
143	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
144	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
145	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
146	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
147	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
148	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
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, complemented
154	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
155	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
156	C₃₁×#450	C₂²	1	1	yes	characteristic
157	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
158	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
159	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
160	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
161	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
162	C₃₁×#447	C₂²	1	1	yes	characteristic
163	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
164	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
165	C₃₁×#446	C₂²	1	1	yes	characteristic, complemented
166	C₈×Q₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
167	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
168	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
169	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
170	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
171	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
172	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
173	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
174	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
175	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
176	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
177	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
178	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
179	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
180	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
181	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
182	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
183	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
184	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
185	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
186	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
187	C₃₁×#431	C₂²	1	1	yes	characteristic, complemented
188	C₃₁×#419	C₂²	1	1	yes	characteristic, complemented
189	C₃₁×#419	C₂²	1	1	yes	characteristic, complemented
190	C₃₁×#418	C₂²	1	1	yes	characteristic
191	C₃₁×#418	C₂²	1	1	yes	characteristic
192	C₃₁×#418	C₂²	1	1	yes	characteristic, complemented
193	C₃₁×#418	C₂²	1	1	yes	characteristic, complemented
194	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
195	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
196	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
197	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₃₁×#102	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₃₁×#102	C₂²	1	1	yes	characteristic, complemented
200	C₃₁×#405	C₂²	1	1	yes	characteristic, complemented
201	C₃₁×#405	C₂²	1	1	yes	characteristic, complemented
202	C₄×M₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₃₁	—	2	1	no	—
204	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
205	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₃₁	—	2	1	no	—
208	C₂²×D₄×C₃₁	—	2	1	no	—
209	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
211	C₂²×D₄×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×D₈×C₃₁	C₂³	1	1	yes	characteristic
221	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
222	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
223	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
224	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
225	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
226	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
227	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
228	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
229	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
230	C₃₁×C₄⋊Q₈	—	2	1	no	—
231	C₃₁×C₄⋊Q₈	—	2	1	no	—
232	C₃₁×C₄⋊Q₈	—	2	1	no	—
233	C₃₁×C₄⋊Q₈	C₂³	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×#127	C₂³	1	1	yes	characteristic
239	C₃₁×#127	C₂³	1	1	yes	characteristic
240	C₃₁×#127	C₂³	1	1	yes	characteristic
241	C₃₁×#126	—	2	1	no	—
242	C₃₁×#126	—	2	1	no	—
243	C₃₁×#126	—	2	1	no	—
244	C₃₁×#126	—	2	1	no	—
245	C₃₁×#126	—	2	1	no	—
246	C₃₁×#126	—	2	1	no	—
247	C₃₁×#126	—	2	1	no	—
248	C₃₁×#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	D₄	1	1	yes	characteristic
253	C₃₁×#126	D₄	1	1	yes	characteristic
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	—	2	1	no	—
259	C₃₁×#125	—	2	1	no	—
260	C₃₁×#125	D₄	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×#124	—	2	1	no	—
267	C₃₁×#124	—	2	1	no	—
268	C₃₁×#124	—	2	1	no	—
269	C₃₁×#124	—	2	1	no	—
270	C₃₁×#124	—	2	1	no	—
271	C₃₁×#124	—	2	1	no	—
272	C₃₁×#124	—	2	1	no	—
273	C₃₁×#124	—	2	1	no	—
274	C₃₁×#124	—	2	1	no	—
275	C₃₁×#124	—	2	1	no	—
276	C₃₁×#124	—	2	1	no	—
277	C₃₁×#124	—	2	1	no	—
278	C₃₁×#124	—	2	1	no	—
279	C₃₁×#124	—	2	1	no	—
280	C₃₁×#124	D₄	1	1	yes	characteristic
281	C₃₁×#124	C₂³	1	1	yes	characteristic
282	C₃₁×#124	C₂³	1	1	yes	characteristic
283	C₃₁×#124	C₂³	1	1	yes	characteristic
284	C₃₁×#124	C₂³	1	1	yes	characteristic
285	C₃₁×#124	C₂³	1	1	yes	characteristic
286	C₃₁×#124	C₂³	1	1	yes	characteristic
287	C₃₁×#124	C₂³	1	1	yes	characteristic
288	C₃₁×#123	—	2	1	no	—
289	C₃₁×#123	—	2	1	no	—
290	C₃₁×#123	—	2	1	no	—
291	C₃₁×#123	—	2	1	no	—
292	C₃₁×#123	—	2	1	no	—
293	C₃₁×#123	—	2	1	no	—
294	C₃₁×#123	—	2	1	no	—
295	C₃₁×#123	—	2	1	no	—
296	C₃₁×#123	—	2	1	no	—
297	C₃₁×#123	—	2	1	no	—
298	C₃₁×#123	—	2	1	no	—
299	C₃₁×#123	—	2	1	no	—
300	C₃₁×#123	—	2	1	no	—
301	C₃₁×#123	—	2	1	no	—
302	C₃₁×#123	—	2	1	no	—
303	C₃₁×#123	D₄	1	1	yes	characteristic
304	C₃₁×#123	D₄	1	1	yes	characteristic
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	—	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	D₄	1	1	yes	characteristic
321	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
322	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
323	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
324	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
325	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
326	C₃₁×#121	—	2	1	no	—
327	C₃₁×#121	—	2	1	no	—
328	C₃₁×#121	—	2	1	no	—
329	C₃₁×#121	—	2	1	no	—
330	C₃₁×#121	—	2	1	no	—
331	C₃₁×#121	—	2	1	no	—
332	C₃₁×#121	—	2	1	no	—
333	C₃₁×#121	—	2	1	no	—
334	C₃₁×#121	—	2	1	no	—
335	C₃₁×#121	—	2	1	no	—
336	C₃₁×#121	—	2	1	no	—
337	C₃₁×#121	—	2	1	no	—
338	C₃₁×#121	—	2	1	no	—
339	C₃₁×#121	—	2	1	no	—
340	C₃₁×#121	D₄	1	1	yes	characteristic
341	C₃₁×#121	C₂³	1	1	yes	characteristic
342	C₃₁×#121	C₂³	1	1	yes	characteristic
343	C₃₁×#121	C₂³	1	1	yes	characteristic
344	C₃₁×#121	C₂³	1	1	yes	characteristic
345	C₃₁×#121	C₂³	1	1	yes	characteristic
346	C₃₁×#121	C₂³	1	1	yes	characteristic
347	C₃₁×#121	C₂³	1	1	yes	characteristic
348	C₃₁×#120	—	2	1	no	—
349	C₃₁×#120	—	2	1	no	—
350	C₃₁×#120	—	2	1	no	—
351	C₃₁×#120	—	2	1	no	—
352	C₃₁×#120	—	2	1	no	—
353	C₃₁×#120	—	2	1	no	—
354	C₃₁×#120	—	2	1	no	—
355	C₃₁×#120	—	2	1	no	—
356	C₃₁×#120	—	2	1	no	—
357	C₃₁×#120	—	2	1	no	—
358	C₄×Q₈×C₃₁	—	2	1	no	—
359	C₄×Q₈×C₃₁	—	2	1	no	—
360	C₄×Q₈×C₃₁	—	2	1	no	—
361	C₄×Q₈×C₃₁	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
383	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
384	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
385	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
386	C₃₁×#117	—	2	1	no	—
387	C₃₁×#117	—	2	1	no	—
388	C₃₁×#117	—	2	1	no	—
389	C₃₁×#117	—	2	1	no	—
390	C₃₁×#117	C₂³	1	1	yes	characteristic
391	C₃₁×#117	C₂³	1	1	yes	characteristic
392	C₃₁×#117	C₂³	1	1	yes	characteristic
393	C₃₁×#117	C₂³	1	1	yes	characteristic
394	C₃₁×#117	C₂³	1	1	yes	characteristic
395	C₃₁×#117	C₂³	1	1	yes	characteristic
396	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
397	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
399	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
400	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
401	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
402	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
403	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
404	C₃₁×#107	C₂³	1	1	yes	characteristic
405	C₃₁×#107	C₂³	1	1	yes	characteristic
406	C₃₁×#107	C₂³	1	1	yes	characteristic
407	C₃₁×#107	C₂³	1	1	yes	characteristic
408	C₃₁×#107	C₂³	1	1	yes	characteristic
409	C₃₁×#107	C₂³	1	1	yes	characteristic
410	C₃₁×#106	C₂³	1	1	yes	characteristic
411	C₃₁×#106	C₂³	1	1	yes	characteristic
412	C₃₁×#106	C₂³	1	1	yes	characteristic
413	C₃₁×#106	C₂³	1	1	yes	characteristic
414	C₃₁×#106	C₂³	1	1	yes	characteristic
415	C₃₁×#106	C₂³	1	1	yes	characteristic
416	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
419	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
420	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
421	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
422	C₃₁×#103	C₂³	1	1	yes	characteristic
423	C₃₁×#103	C₂³	1	1	yes	characteristic
424	C₃₁×#103	C₂³	1	1	yes	characteristic
425	C₃₁×#103	C₂³	1	1	yes	characteristic
426	C₃₁×#103	C₂³	1	1	yes	characteristic
427	C₃₁×#103	C₂³	1	1	yes	characteristic
428	C₃₁×#103	C₂³	1	1	yes	characteristic
429	C₃₁×#103	C₂³	1	1	yes	characteristic
430	C₃₁×#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×#102	C₂³	1	1	yes	characteristic
437	C₃₁×#102	C₂³	1	1	yes	characteristic
438	C₃₁×#102	C₂³	1	1	yes	characteristic
439	C₃₁×#102	C₂³	1	1	yes	characteristic
440	C₃₁×#102	C₂³	1	1	yes	characteristic
441	C₃₁×#102	C₂³	1	1	yes	characteristic
442	C₃₁×#102	C₂³	1	1	yes	characteristic
443	C₃₁×#102	C₂³	1	1	yes	characteristic
444	C₃₁×#102	C₂³	1	1	yes	characteristic
445	C₃₁×#102	C₂³	1	1	yes	characteristic
446	C₃₁×#102	C₂³	1	1	yes	characteristic
447	C₃₁×#102	C₂³	1	1	yes	characteristic
448	C₃₁×#102	C₂³	1	1	yes	characteristic
449	C₃₁×#102	C₂³	1	1	yes	characteristic
450	C₃₁×#102	C₂³	1	1	yes	characteristic
451	C₃₁×#102	C₂³	1	1	yes	characteristic
452	C₃₁×#102	C₂³	1	1	yes	characteristic
453	C₃₁×#102	C₂³	1	1	yes	characteristic
454	C₃₁×#102	C₂³	1	1	yes	characteristic
455	C₃₁×#102	C₂³	1	1	yes	characteristic
456	C₃₁×#102	C₂³	1	1	yes	characteristic
457	C₃₁×#102	C₂³	1	1	yes	characteristic
458	C₃₁×#102	C₂³	1	1	yes	characteristic
459	C₃₁×#102	C₂³	1	1	yes	characteristic
460	C₃₁×#102	C₂³	1	1	yes	characteristic
461	C₃₁×#102	C₂³	1	1	yes	characteristic
462	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
463	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
464	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
465	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₃₁×#97	C₂³	1	1	yes	characteristic
469	C₃₁×#97	C₂³	1	1	yes	characteristic
470	C₃₁×#97	C₂³	1	1	yes	characteristic
471	C₃₁×#97	C₂³	1	1	yes	characteristic
472	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	C₂⁴×C₃₁	—	2	1	no	—
479	C₂⁴×C₃₁	—	2	1	no	—
480	C₂⁴×C₃₁	—	2	1	no	—
481	#41×C₃₁	—	4	1	no	—
482	#41×C₃₁	—	4	1	no	—
483	#41×C₃₁	—	4	1	no	—
484	#41×C₃₁	—	4	1	no	—
485	#41×C₃₁	—	8	2	no	—
486	C₂×Q₈×C₃₁	—	2	1	no	—
487	C₂×Q₈×C₃₁	—	2	1	no	—
488	C₂×Q₈×C₃₁	—	2	1	no	—
489	C₂×Q₈×C₃₁	—	2	1	no	—
490	C₂×Q₈×C₃₁	—	2	1	no	—
491	C₂×Q₈×C₃₁	—	2	1	no	—
492	C₂×Q₈×C₃₁	—	4	1	no	—
493	C₂×Q₈×C₃₁	—	4	1	no	—
494	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
495	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₃₁	—	2	1	no	—
499	C₂×D₄×C₃₁	—	2	1	no	—
500	C₂×D₄×C₃₁	—	2	1	no	—
501	C₂×D₄×C₃₁	—	2	1	no	—
502	C₂×D₄×C₃₁	—	2	1	no	—
503	C₂×D₄×C₃₁	—	2	1	no	—
504	C₂×D₄×C₃₁	—	2	1	no	—
505	C₂×D₄×C₃₁	—	2	1	no	—
506	C₂×D₄×C₃₁	—	2	1	no	—
507	C₂×D₄×C₃₁	—	2	1	no	—
508	C₂×D₄×C₃₁	—	2	1	no	—
509	C₂×D₄×C₃₁	—	2	1	no	—
510	C₂×D₄×C₃₁	—	2	1	no	—
511	C₂×D₄×C₃₁	—	2	1	no	—
512	C₂×D₄×C₃₁	—	2	1	no	—
513	C₂×D₄×C₃₁	—	2	1	no	—
514	C₂×D₄×C₃₁	—	2	1	no	—
515	C₂×D₄×C₃₁	—	2	1	no	—
516	C₂×D₄×C₃₁	—	4	1	no	—
517	C₂×D₄×C₃₁	—	4	1	no	—
518	C₂×D₄×C₃₁	—	4	1	no	—
519	C₂×D₄×C₃₁	—	4	1	no	—
520	C₂×D₄×C₃₁	—	4	1	no	—
521	C₂×D₄×C₃₁	—	4	1	no	—
522	C₂×D₄×C₃₁	—	8	2	no	—
523	C₂×D₄×C₃₁	—	8	2	no	—
524	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
525	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
526	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
527	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
528	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
529	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
530	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
531	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₃₁	—	2	1	no	—
533	C₂²×C₄×C₃₁	—	2	1	no	—
534	C₂²×C₄×C₃₁	—	2	1	no	—
535	C₂²×C₄×C₃₁	—	2	1	no	—
536	C₂²×C₄×C₃₁	—	2	1	no	—
537	C₂²×C₄×C₃₁	—	2	1	no	—
538	C₂²×C₄×C₃₁	—	2	1	no	—
539	C₂²×C₄×C₃₁	—	2	1	no	—
540	C₂²×C₄×C₃₁	—	2	1	no	—
541	C₂²×C₄×C₃₁	—	2	1	no	—
542	C₂²×C₄×C₃₁	—	2	1	no	—
543	C₂²×C₄×C₃₁	—	2	1	no	—
544	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
545	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
546	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
549	Q₁₆×C₃₁	—	4	1	no	—
550	Q₁₆×C₃₁	—	4	1	no	—
551	SD₁₆×C₃₁	—	4	1	no	—
552	SD₁₆×C₃₁	—	4	1	no	—
553	SD₁₆×C₃₁	—	4	1	no	—
554	SD₁₆×C₃₁	—	4	1	no	—
555	SD₁₆×C₃₁	—	4	1	no	—
556	SD₁₆×C₃₁	—	4	1	no	—
557	D₈×C₃₁	—	4	1	no	—
558	D₈×C₃₁	—	4	1	no	—
559	D₈×C₃₁	—	4	1	no	—
560	D₈×C₃₁	—	4	1	no	—
561	M₁₆×C₃₁	—	4	1	no	—
562	M₁₆×C₃₁	—	4	1	no	—
563	M₁₆×C₃₁	—	4	1	no	—
564	M₁₆×C₃₁	—	4	1	no	—
565	C₂×C₈×C₃₁	—	4	1	no	—
566	C₂×C₈×C₃₁	—	4	1	no	—
567	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
568	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
569	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
570	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
571	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
572	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
573	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
574	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
575	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	—	2	1	no	—
598	C₄⋊C₄×C₃₁	—	2	1	no	—
599	C₄⋊C₄×C₃₁	—	2	1	no	—
600	C₄⋊C₄×C₃₁	—	2	1	no	—
601	C₄⋊C₄×C₃₁	—	2	1	no	—
602	C₄⋊C₄×C₃₁	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	C₂⁴	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	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
654	C₂²⋊C₄×C₃₁	—	2	1	no	—
655	C₂²⋊C₄×C₃₁	—	2	1	no	—
656	C₂²⋊C₄×C₃₁	—	2	1	no	—
657	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
664	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
665	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
666	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
667	C₄²×C₃₁	—	2	1	no	—
668	C₄²×C₃₁	—	2	1	no	—
669	C₄²×C₃₁	—	2	1	no	—
670	C₄²×C₃₁	—	2	1	no	—
671	C₄²×C₃₁	—	2	1	no	—
672	C₄²×C₃₁	—	2	1	no	—
673	C₄²×C₃₁	—	2	1	no	—
674	C₄²×C₃₁	—	2	1	no	—
675	C₄²×C₃₁	—	2	1	no	—
676	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
677	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
678	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
679	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
680	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
681	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
682	#62614	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
683	C₂³×C₃₁	—	2	1	no	—
684	C₂³×C₃₁	—	2	1	no	—
685	C₂³×C₃₁	—	2	1	no	—
686	C₂³×C₃₁	—	2	1	no	—
687	C₂³×C₃₁	—	2	1	no	—
688	C₂³×C₃₁	—	4	2	no	—
689	C₂³×C₃₁	—	8	1	no	—
690	C₂³×C₃₁	—	8	1	no	—
691	C₂³×C₃₁	—	8	1	no	—
692	C₂³×C₃₁	—	8	1	no	—
693	C₂³×C₃₁	—	8	1	no	—
694	C₂³×C₃₁	—	8	1	no	—
695	C₂³×C₃₁	—	8	1	no	—
696	C₂³×C₃₁	—	8	1	no	—
697	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
698	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
699	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
700	Q₈×C₃₁	—	2	1	no	—
701	Q₈×C₃₁	—	2	1	no	—
702	Q₈×C₃₁	—	2	1	no	—
703	Q₈×C₃₁	—	2	1	no	—
704	Q₈×C₃₁	—	2	1	no	—
705	Q₈×C₃₁	—	2	1	no	—
706	Q₈×C₃₁	—	4	1	no	—
707	Q₈×C₃₁	—	8	1	no	—
708	Q₈×C₃₁	—	8	1	no	—
709	Q₈×C₃₁	—	8	1	no	—
710	Q₈×C₃₁	—	8	1	no	—
711	Q₈×C₃₁	—	8	1	no	—
712	Q₈×C₃₁	—	8	1	no	—
713	D₄×C₃₁	—	2	1	no	—
714	D₄×C₃₁	—	2	1	no	—
715	D₄×C₃₁	—	2	1	no	—
716	D₄×C₃₁	—	2	1	no	—
717	D₄×C₃₁	—	2	1	no	—
718	D₄×C₃₁	—	2	1	no	—
719	D₄×C₃₁	—	2	1	no	—
720	D₄×C₃₁	—	2	1	no	—
721	D₄×C₃₁	—	2	1	no	—
722	D₄×C₃₁	—	2	1	no	—
723	D₄×C₃₁	—	4	1	no	—
724	D₄×C₃₁	—	4	1	no	—
725	D₄×C₃₁	—	4	1	no	—
726	D₄×C₃₁	—	4	2	no	—
727	D₄×C₃₁	—	4	2	no	—
728	D₄×C₃₁	—	8	1	no	—
729	D₄×C₃₁	—	8	1	no	—
730	D₄×C₃₁	—	8	1	no	—
731	D₄×C₃₁	—	8	1	no	—
732	D₄×C₃₁	—	8	1	no	—
733	D₄×C₃₁	—	8	1	no	—
734	D₄×C₃₁	—	8	1	no	—
735	D₄×C₃₁	—	8	1	no	—
736	D₄×C₃₁	—	8	1	no	—
737	D₄×C₃₁	—	8	1	no	—
738	D₄×C₃₁	—	8	1	no	—
739	D₄×C₃₁	—	8	1	no	—
740	D₄×C₃₁	—	8	1	no	—
741	D₄×C₃₁	—	8	1	no	—
742	D₄×C₃₁	—	8	1	no	—
743	D₄×C₃₁	—	8	1	no	—
744	C₂×C₄×C₃₁	—	2	1	no	—
745	C₂×C₄×C₃₁	—	2	1	no	—
746	C₂×C₄×C₃₁	—	2	1	no	—
747	C₂×C₄×C₃₁	—	2	1	no	—
748	C₂×C₄×C₃₁	—	2	1	no	—
749	C₂×C₄×C₃₁	—	2	1	no	—
750	C₂×C₄×C₃₁	—	2	1	no	—
751	C₂×C₄×C₃₁	—	2	1	no	—
752	C₂×C₄×C₃₁	—	2	1	no	—
753	C₂×C₄×C₃₁	—	2	1	no	—
754	C₂×C₄×C₃₁	—	2	1	no	—
755	C₂×C₄×C₃₁	—	2	1	no	—
756	C₂×C₄×C₃₁	—	2	1	no	—
757	C₂×C₄×C₃₁	—	2	1	no	—
758	C₂×C₄×C₃₁	—	2	1	no	—
759	C₂×C₄×C₃₁	—	2	1	no	—
760	C₂×C₄×C₃₁	—	2	1	no	—
761	C₂×C₄×C₃₁	—	4	1	no	—
762	C₂×C₄×C₃₁	—	4	1	no	—
763	C₂×C₄×C₃₁	—	8	1	no	—
764	C₂×C₄×C₃₁	—	8	1	no	—
765	C₂×C₄×C₃₁	—	8	1	no	—
766	C₂×C₄×C₃₁	—	8	1	no	—
767	C₂×C₄×C₃₁	—	8	1	no	—
768	C₂×C₄×C₃₁	—	8	1	no	—
769	C₂×C₄×C₃₁	—	8	1	no	—
770	C₂×C₄×C₃₁	—	8	1	no	—
771	C₂×C₄×C₃₁	—	8	1	no	—
772	C₂×C₄×C₃₁	—	8	1	no	—
773	C₂×C₄×C₃₁	—	8	1	no	—
774	C₂×C₄×C₃₁	—	8	1	no	—
775	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
787	C₈×C₃₁	—	2	1	no	—
788	C₈×C₃₁	—	2	1	no	—
789	C₈×C₃₁	—	2	1	no	—
790	C₈×C₃₁	—	2	1	no	—
791	C₈×C₃₁	—	2	1	no	—
792	C₈×C₃₁	—	2	1	no	—
793	C₈×C₃₁	—	2	1	no	—
794	C₈×C₃₁	—	2	1	no	—
795	#3565	C₂×C₃₁	1	1	yes	characteristic, complemented
796	#3558	C₂×C₃₁	1	1	yes	characteristic, complemented
797	#3371	C₂×C₃₁	1	1	yes	characteristic, complemented
798	#3370	C₂×C₃₁	1	1	yes	characteristic, complemented
799	#3365	C₂×C₃₁	1	1	yes	characteristic, complemented
800	#3361	C₂×C₃₁	1	1	yes	characteristic, complemented
801	#3327	C₂×C₃₁	1	1	yes	characteristic, complemented
802	#3326	C₂×C₃₁	1	1	yes	characteristic, complemented
803	#3325	C₂×C₃₁	1	1	yes	characteristic, complemented
804	#3324	C₂×C₃₁	1	1	yes	characteristic, complemented
805	#3323	C₂×C₃₁	1	1	yes	characteristic, complemented
806	#3322	C₂×C₃₁	1	1	yes	characteristic, complemented
807	#3321	C₂×C₃₁	1	1	yes	characteristic, complemented
808	#3318	C₂×C₃₁	1	1	yes	characteristic, complemented
809	#3313	C₂×C₃₁	1	1	yes	characteristic, complemented
810	#3310	C₂×C₃₁	1	1	yes	characteristic, complemented
811	#3297	C₂×C₃₁	1	1	yes	characteristic, complemented
812	#3296	C₂×C₃₁	1	1	yes	characteristic, complemented
813	#3244	C₂×C₃₁	1	1	yes	characteristic, complemented
814	#3243	C₂×C₃₁	1	1	yes	characteristic, complemented
815	#3228	C₂×C₃₁	1	1	yes	characteristic, complemented
816	#3224	C₂×C₃₁	1	1	yes	characteristic, complemented
817	#3224	C₂×C₃₁	1	1	yes	characteristic, complemented
818	#3211	C₂×C₃₁	1	1	yes	characteristic, complemented
819	#3175	C₂×C₃₁	1	1	yes	characteristic, complemented
820	#3173	C₂×C₃₁	1	1	yes	characteristic, complemented
821	#3171	C₂×C₃₁	1	1	yes	characteristic, complemented
822	#3140	C₂×C₃₁	1	1	yes	characteristic, complemented
823	#3136	C₂×C₃₁	1	1	yes	characteristic, complemented
824	#3136	C₂×C₃₁	1	1	yes	characteristic, complemented
825	#2969	C₂×C₃₁	1	1	yes	characteristic, complemented
826	C₂²×C₃₁	—	2	1	no	—
827	C₂²×C₃₁	—	2	1	no	—
828	C₂²×C₃₁	—	2	1	no	—
829	C₂²×C₃₁	—	2	1	no	—
830	C₂²×C₃₁	—	2	1	no	—
831	C₂²×C₃₁	—	2	1	no	—
832	C₂²×C₃₁	—	2	1	no	—
833	C₂²×C₃₁	—	2	1	no	—
834	C₂²×C₃₁	—	2	1	no	—
835	C₂²×C₃₁	—	4	1	no	—
836	C₂²×C₃₁	—	4	1	no	—
837	C₂²×C₃₁	—	4	1	no	—
838	C₂²×C₃₁	—	4	1	no	—
839	C₂²×C₃₁	—	4	1	no	—
840	C₂²×C₃₁	—	4	1	no	—
841	C₂²×C₃₁	—	4	1	no	—
842	C₂²×C₃₁	—	4	1	no	—
843	C₂²×C₃₁	—	4	1	no	—
844	C₂²×C₃₁	—	4	1	no	—
845	C₂²×C₃₁	—	4	1	no	—
846	C₂²×C₃₁	—	4	1	no	—
847	C₂²×C₃₁	—	4	1	no	—
848	C₂²×C₃₁	—	4	1	no	—
849	C₂²×C₃₁	—	4	1	no	—
850	C₂²×C₃₁	—	16	2	no	—
851	C₂²×C₃₁	—	16	2	no	—
852	C₂²×C₃₁	—	16	2	no	—
853	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
854	C₄×C₃₁	—	2	1	no	—
855	C₄×C₃₁	—	2	1	no	—
856	C₄×C₃₁	—	2	1	no	—
857	C₄×C₃₁	—	2	1	no	—
858	C₄×C₃₁	—	2	1	no	—
859	C₄×C₃₁	—	2	1	no	—
860	C₄×C₃₁	—	2	1	no	—
861	C₄×C₃₁	—	2	1	no	—
862	C₄×C₃₁	—	2	1	no	—
863	C₄×C₃₁	—	2	1	no	—
864	C₄×C₃₁	—	2	1	no	—
865	C₄×C₃₁	—	4	1	no	—
866	C₄×C₃₁	—	4	1	no	—
867	C₄×C₃₁	—	4	1	no	—
868	C₄×C₃₁	—	4	1	no	—
869	C₄×C₃₁	—	4	1	no	—
870	C₄×C₃₁	—	4	1	no	—
871	C₄×C₃₁	—	4	1	no	—
872	C₄×C₃₁	—	4	1	no	—
873	C₄×C₃₁	—	4	1	no	—
874	C₄×C₃₁	—	4	1	no	—
875	C₄×C₃₁	—	4	1	no	—
876	C₄×C₃₁	#585	1	1	yes	characteristic
877	C₄×C₃₁	#585	1	1	yes	characteristic
878	#563	—	2	1	no	—
879	#562	—	2	1	no	—
880	#562	—	2	1	no	—
881	H(3,𝔽₄)	—	2	1	no	—
882	#559	C₂²×C₃₁	1	1	yes	characteristic
883	#559	C₂²×C₃₁	1	1	yes	characteristic
884	#557	C₂²×C₃₁	1	1	yes	characteristic, complemented
885	#556	—	2	1	no	—
886	#556	C₂²×C₃₁	1	1	yes	characteristic, complemented
887	#555	C₂²×C₃₁	1	1	yes	characteristic, complemented
888	#554	C₂²×C₃₁	1	1	yes	characteristic, complemented
889	#553	C₂²×C₃₁	1	1	yes	characteristic, complemented
890	#553	C₂²×C₃₁	1	1	yes	characteristic, complemented
891	#552	—	2	1	no	—
892	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
893	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
894	#548	C₂²×C₃₁	1	1	yes	characteristic
895	#548	C₂²×C₃₁	1	1	yes	characteristic
896	#546	—	2	1	no	—
897	#546	—	2	1	no	—
898	#546	C₂²×C₃₁	1	1	yes	characteristic
899	#546	C₂²×C₃₁	1	1	yes	characteristic
900	D₄²	C₂²×C₃₁	1	1	yes	characteristic
901	D₄²	C₂²×C₃₁	1	1	yes	characteristic
902	#544	C₂²×C₃₁	1	1	yes	characteristic, complemented
903	#544	C₂²×C₃₁	1	1	yes	characteristic, complemented
904	#542	—	2	1	no	—
905	#542	—	2	1	no	—
906	#542	C₂²×C₃₁	1	1	yes	characteristic
907	#542	C₂²×C₃₁	1	1	yes	characteristic
908	#542	C₂²×C₃₁	1	1	yes	characteristic, complemented
909	#542	C₂²×C₃₁	1	1	yes	characteristic, complemented
910	#541	—	2	1	no	—
911	#539	—	2	1	no	—
912	#538	—	2	1	no	—
913	#538	—	2	1	no	—
914	#538	—	2	1	no	—
915	#535	C₂²×C₃₁	1	1	yes	characteristic
916	#535	C₂²×C₃₁	1	1	yes	characteristic
917	#534	—	2	1	no	—
918	#533	C₂²×C₃₁	1	1	yes	characteristic, complemented
919	#532	C₂²×C₃₁	1	1	yes	characteristic
920	#529	C₂²×C₃₁	1	1	yes	characteristic
921	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
922	C₂×#124	C₂²×C₃₁	1	1	yes	characteristic
923	#501	C₂²×C₃₁	1	1	yes	characteristic, complemented
924	#500	C₂²×C₃₁	1	1	yes	characteristic, complemented
925	#498	C₂²×C₃₁	1	1	yes	characteristic, complemented
926	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
927	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
928	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
929	#490	C₂²×C₃₁	1	1	yes	characteristic
930	#490	C₂²×C₃₁	1	1	yes	characteristic
931	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
932	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
933	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
934	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
935	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
936	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
937	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
938	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
939	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
940	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
941	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
942	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
943	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
944	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
945	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
946	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
947	#486	C₂²×C₃₁	1	1	yes	characteristic
948	#486	C₂²×C₃₁	1	1	yes	characteristic
949	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
950	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
951	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
952	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
953	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
954	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
955	#482	C₂²×C₃₁	1	1	yes	characteristic
956	#482	C₂²×C₃₁	1	1	yes	characteristic
957	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
958	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
959	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
960	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
961	#481	C₂²×C₃₁	1	1	yes	characteristic
962	#480	C₂²×C₃₁	1	1	yes	characteristic
963	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
964	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
965	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
966	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
967	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
968	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
969	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
970	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
971	#477	C₂²×C₃₁	1	1	yes	characteristic, complemented
972	#476	C₂²×C₃₁	1	1	yes	characteristic, complemented
973	#475	C₂²×C₃₁	1	1	yes	characteristic, complemented
974	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
975	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
976	#469	C₂²×C₃₁	1	1	yes	characteristic
977	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
978	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
979	#468	C₂²×C₃₁	1	1	yes	characteristic
980	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
981	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
982	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
983	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
984	#466	C₂²×C₃₁	1	1	yes	characteristic
985	#465	C₂²×C₃₁	1	1	yes	characteristic
986	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
987	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
988	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
989	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
990	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
991	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
992	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
993	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
995	#460	C₂²×C₃₁	1	1	yes	characteristic
996	#460	C₂²×C₃₁	1	1	yes	characteristic
997	#459	C₂²×C₃₁	1	1	yes	characteristic
998	#459	C₂²×C₃₁	1	1	yes	characteristic
999	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1000	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1001	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1002	#450	C₂²×C₃₁	1	1	yes	characteristic
1003	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1004	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1005	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1006	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1007	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1008	#447	C₂²×C₃₁	1	1	yes	characteristic
1009	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1010	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1011	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1012	C₈×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1013	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1014	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1015	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1016	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1017	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1018	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1019	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1020	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1021	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1022	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1023	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1027	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1028	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1029	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1030	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1031	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1032	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1033	#431	C₂²×C₃₁	1	1	yes	characteristic, complemented
1034	#419	C₂²×C₃₁	1	1	yes	characteristic, complemented
1035	#419	C₂²×C₃₁	1	1	yes	characteristic, complemented
1036	#418	C₂²×C₃₁	1	1	yes	characteristic
1037	#418	C₂²×C₃₁	1	1	yes	characteristic
1038	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1039	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1040	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1041	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1042	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1043	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1044	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1045	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1046	#405	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	#405	C₂²×C₃₁	1	1	yes	characteristic, complemented
1048	C₄×M₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1049	C₂×C₃₁	—	4	1	no	—
1050	C₂×C₃₁	—	4	1	no	—
1051	C₂×C₃₁	—	4	1	no	—
1052	C₂×C₃₁	—	8	1	no	—
1053	C₂×C₃₁	—	8	1	no	—
1054	C₂×C₃₁	—	8	1	no	—
1055	C₂×C₃₁	—	8	1	no	—
1056	C₂×C₃₁	—	8	1	no	—
1057	C₂×C₃₁	#3500	1	1	yes	characteristic
1058	C₂×C₃₁	#3584	1	1	yes	characteristic
1059	C₂×C₃₁	#3585	1	1	yes	characteristic
1060	C₂×#41	—	2	1	no	—
1061	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1062	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1063	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1064	C₂²×D₄	—	2	1	no	—
1065	C₂²×D₄	—	2	1	no	—
1066	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1067	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1068	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1069	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1070	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1071	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1072	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1073	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1074	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1075	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1076	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1077	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1078	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1079	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1080	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1081	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1082	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1083	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1084	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1085	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1086	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1087	C₄⋊Q₈	—	2	1	no	—
1088	C₄⋊Q₈	—	2	1	no	—
1089	C₄⋊Q₈	—	2	1	no	—
1090	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1091	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1092	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1093	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1094	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1095	#127	C₂³×C₃₁	1	1	yes	characteristic
1096	#127	C₂³×C₃₁	1	1	yes	characteristic
1097	#127	C₂³×C₃₁	1	1	yes	characteristic
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	2	1	no	—
1103	#126	—	2	1	no	—
1104	#126	—	2	1	no	—
1105	#126	—	2	1	no	—
1106	#126	—	2	1	no	—
1107	#126	—	2	1	no	—
1108	#126	—	2	1	no	—
1109	#126	D₄×C₃₁	1	1	yes	characteristic
1110	#126	D₄×C₃₁	1	1	yes	characteristic
1111	#125	—	2	1	no	—
1112	#125	—	2	1	no	—
1113	#125	—	2	1	no	—
1114	#125	—	2	1	no	—
1115	#125	—	2	1	no	—
1116	#125	—	2	1	no	—
1117	#125	D₄×C₃₁	1	1	yes	characteristic
1118	#125	C₂³×C₃₁	1	1	yes	characteristic
1119	#125	C₂³×C₃₁	1	1	yes	characteristic
1120	#125	C₂³×C₃₁	1	1	yes	characteristic
1121	#125	C₂³×C₃₁	1	1	yes	characteristic
1122	#125	C₂³×C₃₁	1	1	yes	characteristic
1123	#124	—	2	1	no	—
1124	#124	—	2	1	no	—
1125	#124	—	2	1	no	—
1126	#124	—	2	1	no	—
1127	#124	—	2	1	no	—
1128	#124	—	2	1	no	—
1129	#124	—	2	1	no	—
1130	#124	—	2	1	no	—
1131	#124	—	2	1	no	—
1132	#124	—	2	1	no	—
1133	#124	—	2	1	no	—
1134	#124	—	2	1	no	—
1135	#124	—	2	1	no	—
1136	#124	—	2	1	no	—
1137	#124	D₄×C₃₁	1	1	yes	characteristic
1138	#124	C₂³×C₃₁	1	1	yes	characteristic
1139	#124	C₂³×C₃₁	1	1	yes	characteristic
1140	#124	C₂³×C₃₁	1	1	yes	characteristic
1141	#124	C₂³×C₃₁	1	1	yes	characteristic
1142	#124	C₂³×C₃₁	1	1	yes	characteristic
1143	#124	C₂³×C₃₁	1	1	yes	characteristic
1144	#124	C₂³×C₃₁	1	1	yes	characteristic
1145	#123	—	2	1	no	—
1146	#123	—	2	1	no	—
1147	#123	—	2	1	no	—
1148	#123	—	2	1	no	—
1149	#123	—	2	1	no	—
1150	#123	—	2	1	no	—
1151	#123	—	2	1	no	—
1152	#123	—	2	1	no	—
1153	#123	—	2	1	no	—
1154	#123	—	2	1	no	—
1155	#123	—	2	1	no	—
1156	#123	—	2	1	no	—
1157	#123	—	2	1	no	—
1158	#123	—	2	1	no	—
1159	#123	—	2	1	no	—
1160	#123	D₄×C₃₁	1	1	yes	characteristic
1161	#123	D₄×C₃₁	1	1	yes	characteristic
1162	C₂²⋊Q₈	—	2	1	no	—
1163	C₂²⋊Q₈	—	2	1	no	—
1164	C₂²⋊Q₈	—	2	1	no	—
1165	C₂²⋊Q₈	—	2	1	no	—
1166	C₂²⋊Q₈	—	2	1	no	—
1167	C₂²⋊Q₈	—	2	1	no	—
1168	C₂²⋊Q₈	—	2	1	no	—
1169	C₂²⋊Q₈	—	2	1	no	—
1170	C₂²⋊Q₈	—	2	1	no	—
1171	C₂²⋊Q₈	—	2	1	no	—
1172	C₂²⋊Q₈	—	2	1	no	—
1173	C₂²⋊Q₈	—	2	1	no	—
1174	C₂²⋊Q₈	—	2	1	no	—
1175	C₂²⋊Q₈	—	2	1	no	—
1176	C₂²⋊Q₈	—	2	1	no	—
1177	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1178	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1179	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1180	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1181	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1182	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1183	#121	—	2	1	no	—
1184	#121	—	2	1	no	—
1185	#121	—	2	1	no	—
1186	#121	—	2	1	no	—
1187	#121	—	2	1	no	—
1188	#121	—	2	1	no	—
1189	#121	—	2	1	no	—
1190	#121	—	2	1	no	—
1191	#121	—	2	1	no	—
1192	#121	—	2	1	no	—
1193	#121	—	2	1	no	—
1194	#121	—	2	1	no	—
1195	#121	—	2	1	no	—
1196	#121	—	2	1	no	—
1197	#121	D₄×C₃₁	1	1	yes	characteristic
1198	#121	C₂³×C₃₁	1	1	yes	characteristic
1199	#121	C₂³×C₃₁	1	1	yes	characteristic
1200	#121	C₂³×C₃₁	1	1	yes	characteristic
1201	#121	C₂³×C₃₁	1	1	yes	characteristic
1202	#121	C₂³×C₃₁	1	1	yes	characteristic
1203	#121	C₂³×C₃₁	1	1	yes	characteristic
1204	#121	C₂³×C₃₁	1	1	yes	characteristic
1205	#120	—	2	1	no	—
1206	#120	—	2	1	no	—
1207	#120	—	2	1	no	—
1208	#120	—	2	1	no	—
1209	#120	—	2	1	no	—
1210	#120	—	2	1	no	—
1211	#120	—	2	1	no	—
1212	#120	—	2	1	no	—
1213	#120	—	2	1	no	—
1214	#120	—	2	1	no	—
1215	C₄×Q₈	—	2	1	no	—
1216	C₄×Q₈	—	2	1	no	—
1217	C₄×Q₈	—	2	1	no	—
1218	C₄×Q₈	—	2	1	no	—
1219	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1220	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1221	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1222	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1223	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1224	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1225	C₄×D₄	—	2	1	no	—
1226	C₄×D₄	—	2	1	no	—
1227	C₄×D₄	—	2	1	no	—
1228	C₄×D₄	—	2	1	no	—
1229	C₄×D₄	—	2	1	no	—
1230	C₄×D₄	—	2	1	no	—
1231	C₄×D₄	—	2	1	no	—
1232	C₄×D₄	—	2	1	no	—
1233	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1234	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1235	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1236	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1237	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1238	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1239	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1240	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1241	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1242	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1243	#117	—	2	1	no	—
1244	#117	—	2	1	no	—
1245	#117	—	2	1	no	—
1246	#117	—	2	1	no	—
1247	#117	C₂³×C₃₁	1	1	yes	characteristic
1248	#117	C₂³×C₃₁	1	1	yes	characteristic
1249	#117	C₂³×C₃₁	1	1	yes	characteristic
1250	#117	C₂³×C₃₁	1	1	yes	characteristic
1251	#117	C₂³×C₃₁	1	1	yes	characteristic
1252	#117	C₂³×C₃₁	1	1	yes	characteristic
1253	C₂×C₄⋊C₄	—	2	1	no	—
1254	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1255	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1256	C₂×C₂²⋊C₄	—	2	1	no	—
1257	C₂×C₂²⋊C₄	—	2	1	no	—
1258	C₂×C₂²⋊C₄	—	2	1	no	—
1259	C₂×C₂²⋊C₄	—	2	1	no	—
1260	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1261	#107	C₂³×C₃₁	1	1	yes	characteristic
1262	#107	C₂³×C₃₁	1	1	yes	characteristic
1263	#107	C₂³×C₃₁	1	1	yes	characteristic
1264	#107	C₂³×C₃₁	1	1	yes	characteristic
1265	#107	C₂³×C₃₁	1	1	yes	characteristic
1266	#107	C₂³×C₃₁	1	1	yes	characteristic
1267	#106	C₂³×C₃₁	1	1	yes	characteristic
1268	#106	C₂³×C₃₁	1	1	yes	characteristic
1269	#106	C₂³×C₃₁	1	1	yes	characteristic
1270	#106	C₂³×C₃₁	1	1	yes	characteristic
1271	#106	C₂³×C₃₁	1	1	yes	characteristic
1272	#106	C₂³×C₃₁	1	1	yes	characteristic
1273	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1274	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1275	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1276	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1277	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1278	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1279	#103	C₂³×C₃₁	1	1	yes	characteristic
1280	#103	C₂³×C₃₁	1	1	yes	characteristic
1281	#103	C₂³×C₃₁	1	1	yes	characteristic
1282	#103	C₂³×C₃₁	1	1	yes	characteristic
1283	#103	C₂³×C₃₁	1	1	yes	characteristic
1284	#103	C₂³×C₃₁	1	1	yes	characteristic
1285	#103	C₂³×C₃₁	1	1	yes	characteristic
1286	#103	C₂³×C₃₁	1	1	yes	characteristic
1287	#103	C₂³×C₃₁	1	1	yes	characteristic
1288	#103	C₂³×C₃₁	1	1	yes	characteristic
1289	#103	C₂³×C₃₁	1	1	yes	characteristic
1290	#103	C₂³×C₃₁	1	1	yes	characteristic
1291	#103	C₂³×C₃₁	1	1	yes	characteristic
1292	#103	C₂³×C₃₁	1	1	yes	characteristic
1293	#102	C₂³×C₃₁	1	1	yes	characteristic
1294	#102	C₂³×C₃₁	1	1	yes	characteristic
1295	#102	C₂³×C₃₁	1	1	yes	characteristic
1296	#102	C₂³×C₃₁	1	1	yes	characteristic
1297	#102	C₂³×C₃₁	1	1	yes	characteristic
1298	#102	C₂³×C₃₁	1	1	yes	characteristic
1299	#102	C₂³×C₃₁	1	1	yes	characteristic
1300	#102	C₂³×C₃₁	1	1	yes	characteristic
1301	#102	C₂³×C₃₁	1	1	yes	characteristic
1302	#102	C₂³×C₃₁	1	1	yes	characteristic
1303	#102	C₂³×C₃₁	1	1	yes	characteristic
1304	#102	C₂³×C₃₁	1	1	yes	characteristic
1305	#102	C₂³×C₃₁	1	1	yes	characteristic
1306	#102	C₂³×C₃₁	1	1	yes	characteristic
1307	#102	C₂³×C₃₁	1	1	yes	characteristic
1308	#102	C₂³×C₃₁	1	1	yes	characteristic
1309	#102	C₂³×C₃₁	1	1	yes	characteristic
1310	#102	C₂³×C₃₁	1	1	yes	characteristic
1311	#102	C₂³×C₃₁	1	1	yes	characteristic
1312	#102	C₂³×C₃₁	1	1	yes	characteristic
1313	#102	C₂³×C₃₁	1	1	yes	characteristic
1314	#102	C₂³×C₃₁	1	1	yes	characteristic
1315	#102	C₂³×C₃₁	1	1	yes	characteristic
1316	#102	C₂³×C₃₁	1	1	yes	characteristic
1317	#102	C₂³×C₃₁	1	1	yes	characteristic
1318	#102	C₂³×C₃₁	1	1	yes	characteristic
1319	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1320	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1321	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1322	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1323	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1324	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1325	#97	C₂³×C₃₁	1	1	yes	characteristic
1326	#97	C₂³×C₃₁	1	1	yes	characteristic
1327	#97	C₂³×C₃₁	1	1	yes	characteristic
1328	#97	C₂³×C₃₁	1	1	yes	characteristic
1329	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1330	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1331	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1332	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1333	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1334	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1335	C₃₁	#62614	1	1	yes	characteristic, direct product factor, Sylow
1336	C₂⁴	—	2	1	no	—
1337	C₂⁴	—	2	1	no	—
1338	C₂⁴	—	2	1	no	—
1339	#41	—	4	1	no	—
1340	#41	—	4	1	no	—
1341	#41	—	4	1	no	—
1342	#41	—	4	1	no	—
1343	#41	—	8	2	no	—
1344	C₂×Q₈	—	2	1	no	—
1345	C₂×Q₈	—	2	1	no	—
1346	C₂×Q₈	—	2	1	no	—
1347	C₂×Q₈	—	2	1	no	—
1348	C₂×Q₈	—	2	1	no	—
1349	C₂×Q₈	—	2	1	no	—
1350	C₂×Q₈	—	4	1	no	—
1351	C₂×Q₈	—	4	1	no	—
1352	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1353	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1354	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1355	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	2	1	no	—
1363	C₂×D₄	—	2	1	no	—
1364	C₂×D₄	—	2	1	no	—
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	4	1	no	—
1375	C₂×D₄	—	4	1	no	—
1376	C₂×D₄	—	4	1	no	—
1377	C₂×D₄	—	4	1	no	—
1378	C₂×D₄	—	4	1	no	—
1379	C₂×D₄	—	4	1	no	—
1380	C₂×D₄	—	8	2	no	—
1381	C₂×D₄	—	8	2	no	—
1382	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1383	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1384	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1385	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1386	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1387	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1388	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1389	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1403	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1404	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1405	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1406	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1407	Q₁₆	—	4	1	no	—
1408	Q₁₆	—	4	1	no	—
1409	SD₁₆	—	4	1	no	—
1410	SD₁₆	—	4	1	no	—
1411	SD₁₆	—	4	1	no	—
1412	SD₁₆	—	4	1	no	—
1413	SD₁₆	—	4	1	no	—
1414	SD₁₆	—	4	1	no	—
1415	D₈	—	4	1	no	—
1416	D₈	—	4	1	no	—
1417	D₈	—	4	1	no	—
1418	D₈	—	4	1	no	—
1419	M₁₆	—	4	1	no	—
1420	M₁₆	—	4	1	no	—
1421	M₁₆	—	4	1	no	—
1422	M₁₆	—	4	1	no	—
1423	C₂×C₈	—	4	1	no	—
1424	C₂×C₈	—	4	1	no	—
1425	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1426	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1427	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1428	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1429	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1430	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1431	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1432	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1461	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1462	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1463	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1464	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1465	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1466	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1467	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1468	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1469	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1470	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1471	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1472	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1473	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1474	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1475	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1476	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1477	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1516	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1517	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1524	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1525	C₄²	—	2	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	2	1	no	—
1530	C₄²	—	2	1	no	—
1531	C₄²	—	2	1	no	—
1532	C₄²	—	2	1	no	—
1533	C₄²	—	2	1	no	—
1534	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1535	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1536	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1537	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1538	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1539	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1540	C₂³	—	2	1	no	—
1541	C₂³	—	2	1	no	—
1542	C₂³	—	2	1	no	—
1543	C₂³	—	2	1	no	—
1544	C₂³	—	2	1	no	—
1545	C₂³	—	4	2	no	—
1546	C₂³	—	8	1	no	—
1547	C₂³	—	8	1	no	—
1548	C₂³	—	8	1	no	—
1549	C₂³	—	8	1	no	—
1550	C₂³	—	8	1	no	—
1551	C₂³	—	8	1	no	—
1552	C₂³	—	8	1	no	—
1553	C₂³	—	8	1	no	—
1554	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1555	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1556	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1557	Q₈	—	2	1	no	—
1558	Q₈	—	2	1	no	—
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	2	1	no	—
1563	Q₈	—	4	1	no	—
1564	Q₈	—	8	1	no	—
1565	Q₈	—	8	1	no	—
1566	Q₈	—	8	1	no	—
1567	Q₈	—	8	1	no	—
1568	Q₈	—	8	1	no	—
1569	Q₈	—	8	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	2	1	no	—
1573	D₄	—	2	1	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	2	1	no	—
1576	D₄	—	2	1	no	—
1577	D₄	—	2	1	no	—
1578	D₄	—	2	1	no	—
1579	D₄	—	2	1	no	—
1580	D₄	—	4	1	no	—
1581	D₄	—	4	1	no	—
1582	D₄	—	4	1	no	—
1583	D₄	—	4	2	no	—
1584	D₄	—	4	2	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	8	1	no	—
1589	D₄	—	8	1	no	—
1590	D₄	—	8	1	no	—
1591	D₄	—	8	1	no	—
1592	D₄	—	8	1	no	—
1593	D₄	—	8	1	no	—
1594	D₄	—	8	1	no	—
1595	D₄	—	8	1	no	—
1596	D₄	—	8	1	no	—
1597	D₄	—	8	1	no	—
1598	D₄	—	8	1	no	—
1599	D₄	—	8	1	no	—
1600	D₄	—	8	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	4	1	no	—
1619	C₂×C₄	—	4	1	no	—
1620	C₂×C₄	—	8	1	no	—
1621	C₂×C₄	—	8	1	no	—
1622	C₂×C₄	—	8	1	no	—
1623	C₂×C₄	—	8	1	no	—
1624	C₂×C₄	—	8	1	no	—
1625	C₂×C₄	—	8	1	no	—
1626	C₂×C₄	—	8	1	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	—	8	1	no	—
1631	C₂×C₄	—	8	1	no	—
1632	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1633	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1634	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1635	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1636	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1637	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1638	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1639	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1640	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1641	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1642	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1643	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₈	—	2	1	no	—
1651	C₈	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	4	1	no	—
1675	C₂²	—	4	1	no	—
1676	C₂²	—	16	2	no	—
1677	C₂²	—	16	2	no	—
1678	C₂²	—	16	2	no	—
1679	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	1	no	—
1690	C₄	—	2	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	—	4	1	no	—
1700	C₄	—	4	1	no	—
1701	C₄	—	4	1	no	—
1702	C₄	C₃₁×#585	1	1	yes	characteristic
1703	C₄	C₃₁×#585	1	1	yes	characteristic
1704	C₂	—	4	1	no	—
1705	C₂	—	4	1	no	—
1706	C₂	—	4	1	no	—
1707	C₂	—	8	1	no	—
1708	C₂	—	8	1	no	—
1709	C₂	—	8	1	no	—
1710	C₂	—	8	1	no	—
1711	C₂	—	8	1	no	—
1712	C₂	C₃₁×#3500	1	1	yes	characteristic
1713	C₂	C₃₁×#3584	1	1	yes	characteristic
1714	C₂	C₃₁×#3585	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3565	C₂	semidirect
2. C₃₁×#3558	C₂	semidirect
3. C₃₁×#3371	C₂	semidirect
4. C₃₁×#3370	C₂	semidirect
5. C₃₁×#3365	C₂	semidirect
6. C₃₁×#3361	C₂	semidirect
7. C₃₁×#3327	C₂	semidirect
8. C₃₁×#3326	C₂	semidirect
9. C₃₁×#3325	C₂	semidirect
10. C₃₁×#3324	C₂	semidirect
11. C₃₁×#3323	C₂	semidirect
12. C₃₁×#3322	C₂	semidirect
13. C₃₁×#3321	C₂	semidirect
14. C₃₁×#3318	C₂	semidirect
15. C₃₁×#3313	C₂	semidirect
16. C₃₁×#3310	C₂	semidirect
17. C₃₁×#3297	C₂	semidirect
18. C₃₁×#3296	C₂	semidirect
19. C₃₁×#3244	C₂	semidirect
20. C₃₁×#3243	C₂	semidirect
21. C₃₁×#3228	C₂	semidirect
22. C₃₁×#3224	C₂	semidirect
23. C₃₁×#3224	C₂	semidirect
24. C₃₁×#3211	C₂	semidirect
25. C₃₁×#3175	C₂	semidirect
26. C₃₁×#3173	C₂	semidirect
27. C₃₁×#3171	C₂	semidirect
28. C₃₁×#3140	C₂	semidirect
29. C₃₁×#3136	C₂	semidirect
30. C₃₁×#3136	C₂	semidirect
31. C₃₁×#2969	C₂	semidirect
38. C₃₁×#557	C₂²	semidirect
40. C₃₁×#556	C₂²	semidirect
41. C₃₁×#555	C₂²	semidirect
42. C₃₁×#554	C₂²	semidirect
43. C₃₁×#553	C₂²	semidirect
44. C₃₁×#553	C₂²	semidirect
46. C₃₁×#552	C₂²	semidirect
47. C₃₁×#552	C₂²	semidirect
56. C₃₁×#544	C₂²	semidirect
57. C₃₁×#544	C₂²	semidirect
62. C₃₁×#542	C₂²	semidirect
63. C₃₁×#542	C₂²	semidirect
72. C₃₁×#533	C₂²	semidirect
75. C₃₁×#529	C₂²	semidirect
77. C₃₁×#501	C₂²	semidirect
78. C₃₁×#500	C₂²	semidirect
79. C₃₁×#498	C₂²	semidirect
80. C₃₁×#496	C₂²	semidirect
81. C₃₁×#495	C₂²	semidirect
82. C₃₁×#495	C₂²	semidirect
85. C₃₁×#490	C₂²	semidirect
86. C₃₁×#489	C₂²	semidirect
87. C₃₁×#489	C₂²	semidirect
88. C₃₁×#489	C₂²	semidirect
89. C₃₁×#489	C₂²	semidirect
90. C₃₁×#489	C₂²	semidirect
91. C₃₁×#489	C₂²	semidirect
92. C₃₁×#489	C₂²	semidirect
93. C₃₁×#488	C₂²	semidirect
94. C₃₁×#488	C₂²	semidirect
95. C₃₁×#488	C₂²	semidirect
96. C₃₁×#488	C₂²	semidirect
97. C₃₁×#488	C₂²	semidirect
98. C₃₁×#488	C₂²	semidirect
99. C₃₁×#488	C₂²	semidirect
100. C₃₁×#488	C₂²	semidirect
103. C₃₁×#486	C₂²	semidirect
104. C₃₁×#486	C₂²	semidirect
105. C₃₁×#485	C₂²	semidirect
106. C₃₁×#485	C₂²	semidirect
107. C₃₁×#484	C₂²	semidirect
108. C₃₁×#483	C₂²	semidirect
111. C₃₁×#482	C₂²	semidirect
112. C₃₁×#482	C₂²	semidirect
113. C₃₁×#482	C₂²	semidirect
114. C₃₁×#482	C₂²	semidirect
117. C₃₁×#479	C₂²	semidirect
118. C₃₁×#479	C₂²	semidirect
119. C₃₁×#478	C₂²	semidirect
120. C₃₁×#478	C₂²	semidirect
121. C₃₁×#478	C₂²	semidirect
122. C₃₁×#478	C₂²	semidirect
123. C₃₁×#478	C₂²	semidirect
124. C₃₁×#478	C₂²	semidirect
125. C₃₁×#477	C₂²	semidirect
126. C₃₁×#476	C₂²	semidirect
127. C₃₁×#475	C₂²	semidirect
128. C₃₁×#474	C₂²	semidirect
129. C₃₁×#470	C₂²	semidirect
131. C₃₁×#469	C₂²	semidirect
132. C₃₁×#469	C₂²	semidirect
134. C₃₁×#468	C₂²	semidirect
135. C₃₁×#468	C₂²	semidirect
136. C₃₁×#468	C₂²	semidirect
137. C₃₁×#467	C₂²	semidirect
140. C₃₁×#465	C₂²	semidirect
141. C₃₁×#464	C₂²	semidirect
142. C₃₁×#464	C₂²	semidirect
143. C₃₁×#464	C₂²	semidirect
144. C₃₁×#464	C₂²	semidirect
145. C₃₁×#463	C₂²	semidirect
146. C₃₁×#463	C₂²	semidirect
147. C₃₁×#463	C₂²	semidirect
148. C₃₁×#463	C₂²	semidirect
153. C₃₁×#452	C₂²	semidirect
154. C₃₁×#452	C₂²	semidirect
155. C₃₁×#451	C₂²	semidirect
157. C₃₁×#450	C₂²	semidirect
158. C₃₁×#450	C₂²	semidirect
159. C₃₁×#449	C₂²	semidirect
160. C₃₁×#449	C₂²	semidirect
161. C₃₁×#448	C₂²	semidirect
163. C₃₁×#447	C₂²	semidirect
164. C₃₁×#447	C₂²	semidirect
165. C₃₁×#446	C₂²	semidirect
166. C₈×Q₈×C₃₁	C₂²	semidirect
167. C₃₁×#442	C₂²	semidirect
168. C₃₁×#441	C₂²	semidirect
169. C₃₁×#440	C₂²	semidirect
170. C₃₁×#440	C₂²	semidirect
171. C₄×Q₁₆×C₃₁	C₂²	semidirect
172. C₄×SD₁₆×C₃₁	C₂²	semidirect
173. C₄×SD₁₆×C₃₁	C₂²	semidirect
174. C₄×SD₁₆×C₃₁	C₂²	semidirect
175. C₄×SD₁₆×C₃₁	C₂²	semidirect
176. C₄×D₈×C₃₁	C₂²	semidirect
177. C₄×D₈×C₃₁	C₂²	semidirect
178. C₄×D₈×C₃₁	C₂²	semidirect
179. C₃₁×#436	C₂²	semidirect
180. C₃₁×#436	C₂²	semidirect
181. C₃₁×#436	C₂²	semidirect
182. C₃₁×#435	C₂²	semidirect
183. C₃₁×#435	C₂²	semidirect
184. C₈×D₄×C₃₁	C₂²	semidirect
185. C₃₁×#433	C₂²	semidirect
186. C₃₁×#433	C₂²	semidirect
187. C₃₁×#431	C₂²	semidirect
188. C₃₁×#419	C₂²	semidirect
189. C₃₁×#419	C₂²	semidirect
192. C₃₁×#418	C₂²	semidirect
193. C₃₁×#418	C₂²	semidirect
194. C₃₁×#417	C₂²	semidirect
195. C₃₁×#417	C₂²	semidirect
196. C₃₁×#416	C₂²	semidirect
197. C₃₁×#416	C₂²	semidirect
198. C₂×C₃₁×#102	C₂²	semidirect
199. C₂×C₃₁×#102	C₂²	semidirect
200. C₃₁×#405	C₂²	semidirect
201. C₃₁×#405	C₂²	semidirect
202. C₄×M₁₆×C₃₁	C₂²	semidirect
682. #62614	C₃₁	direct (N × H)
795. #3565	C₂×C₃₁	semidirect
796. #3558	C₂×C₃₁	semidirect
797. #3371	C₂×C₃₁	semidirect
798. #3370	C₂×C₃₁	semidirect
799. #3365	C₂×C₃₁	semidirect
800. #3361	C₂×C₃₁	semidirect
801. #3327	C₂×C₃₁	semidirect
802. #3326	C₂×C₃₁	semidirect
803. #3325	C₂×C₃₁	semidirect
804. #3324	C₂×C₃₁	semidirect
805. #3323	C₂×C₃₁	semidirect
806. #3322	C₂×C₃₁	semidirect
807. #3321	C₂×C₃₁	semidirect
808. #3318	C₂×C₃₁	semidirect
809. #3313	C₂×C₃₁	semidirect
810. #3310	C₂×C₃₁	semidirect
811. #3297	C₂×C₃₁	semidirect
812. #3296	C₂×C₃₁	semidirect
813. #3244	C₂×C₃₁	semidirect
814. #3243	C₂×C₃₁	semidirect
815. #3228	C₂×C₃₁	semidirect
816. #3224	C₂×C₃₁	semidirect
817. #3224	C₂×C₃₁	semidirect
818. #3211	C₂×C₃₁	semidirect
819. #3175	C₂×C₃₁	semidirect
820. #3173	C₂×C₃₁	semidirect
821. #3171	C₂×C₃₁	semidirect
822. #3140	C₂×C₃₁	semidirect
823. #3136	C₂×C₃₁	semidirect
824. #3136	C₂×C₃₁	semidirect
825. #2969	C₂×C₃₁	semidirect
884. #557	C₂²×C₃₁	semidirect
886. #556	C₂²×C₃₁	semidirect
887. #555	C₂²×C₃₁	semidirect
888. #554	C₂²×C₃₁	semidirect
889. #553	C₂²×C₃₁	semidirect
890. #553	C₂²×C₃₁	semidirect
892. #552	C₂²×C₃₁	semidirect
893. #552	C₂²×C₃₁	semidirect
902. #544	C₂²×C₃₁	semidirect
903. #544	C₂²×C₃₁	semidirect
908. #542	C₂²×C₃₁	semidirect
909. #542	C₂²×C₃₁	semidirect
918. #533	C₂²×C₃₁	semidirect
921. #529	C₂²×C₃₁	semidirect
923. #501	C₂²×C₃₁	semidirect
924. #500	C₂²×C₃₁	semidirect
925. #498	C₂²×C₃₁	semidirect
926. #496	C₂²×C₃₁	semidirect
927. #495	C₂²×C₃₁	semidirect
928. #495	C₂²×C₃₁	semidirect
931. #490	C₂²×C₃₁	semidirect
932. #489	C₂²×C₃₁	semidirect
933. #489	C₂²×C₃₁	semidirect
934. #489	C₂²×C₃₁	semidirect
935. #489	C₂²×C₃₁	semidirect
936. #489	C₂²×C₃₁	semidirect
937. #489	C₂²×C₃₁	semidirect
938. #489	C₂²×C₃₁	semidirect
939. #488	C₂²×C₃₁	semidirect
940. #488	C₂²×C₃₁	semidirect
941. #488	C₂²×C₃₁	semidirect
942. #488	C₂²×C₃₁	semidirect
943. #488	C₂²×C₃₁	semidirect
944. #488	C₂²×C₃₁	semidirect
945. #488	C₂²×C₃₁	semidirect
946. #488	C₂²×C₃₁	semidirect
949. #486	C₂²×C₃₁	semidirect
950. #486	C₂²×C₃₁	semidirect
951. #485	C₂²×C₃₁	semidirect
952. #485	C₂²×C₃₁	semidirect
953. #484	C₂²×C₃₁	semidirect
954. #483	C₂²×C₃₁	semidirect
957. #482	C₂²×C₃₁	semidirect
958. #482	C₂²×C₃₁	semidirect
959. #482	C₂²×C₃₁	semidirect
960. #482	C₂²×C₃₁	semidirect
963. #479	C₂²×C₃₁	semidirect
964. #479	C₂²×C₃₁	semidirect
965. #478	C₂²×C₃₁	semidirect
966. #478	C₂²×C₃₁	semidirect
967. #478	C₂²×C₃₁	semidirect
968. #478	C₂²×C₃₁	semidirect
969. #478	C₂²×C₃₁	semidirect
970. #478	C₂²×C₃₁	semidirect
971. #477	C₂²×C₃₁	semidirect
972. #476	C₂²×C₃₁	semidirect
973. #475	C₂²×C₃₁	semidirect
974. #474	C₂²×C₃₁	semidirect
975. #470	C₂²×C₃₁	semidirect
977. #469	C₂²×C₃₁	semidirect
978. #469	C₂²×C₃₁	semidirect
980. #468	C₂²×C₃₁	semidirect
981. #468	C₂²×C₃₁	semidirect
982. #468	C₂²×C₃₁	semidirect
983. #467	C₂²×C₃₁	semidirect
986. #465	C₂²×C₃₁	semidirect
987. #464	C₂²×C₃₁	semidirect
988. #464	C₂²×C₃₁	semidirect
989. #464	C₂²×C₃₁	semidirect
990. #464	C₂²×C₃₁	semidirect
991. #463	C₂²×C₃₁	semidirect
992. #463	C₂²×C₃₁	semidirect
993. #463	C₂²×C₃₁	semidirect
994. #463	C₂²×C₃₁	semidirect
999. #452	C₂²×C₃₁	semidirect
1000. #452	C₂²×C₃₁	semidirect
1001. #451	C₂²×C₃₁	semidirect
1003. #450	C₂²×C₃₁	semidirect
1004. #450	C₂²×C₃₁	semidirect
1005. #449	C₂²×C₃₁	semidirect
1006. #449	C₂²×C₃₁	semidirect
1007. #448	C₂²×C₃₁	semidirect
1009. #447	C₂²×C₃₁	semidirect
1010. #447	C₂²×C₃₁	semidirect
1011. #446	C₂²×C₃₁	semidirect
1012. C₈×Q₈	C₂²×C₃₁	semidirect
1013. #442	C₂²×C₃₁	semidirect
1014. #441	C₂²×C₃₁	semidirect
1015. #440	C₂²×C₃₁	semidirect
1016. #440	C₂²×C₃₁	semidirect
1017. C₄×Q₁₆	C₂²×C₃₁	semidirect
1018. C₄×SD₁₆	C₂²×C₃₁	semidirect
1019. C₄×SD₁₆	C₂²×C₃₁	semidirect
1020. C₄×SD₁₆	C₂²×C₃₁	semidirect
1021. C₄×SD₁₆	C₂²×C₃₁	semidirect
1022. C₄×D₈	C₂²×C₃₁	semidirect
1023. C₄×D₈	C₂²×C₃₁	semidirect
1024. C₄×D₈	C₂²×C₃₁	semidirect
1025. #436	C₂²×C₃₁	semidirect
1026. #436	C₂²×C₃₁	semidirect
1027. #436	C₂²×C₃₁	semidirect
1028. #435	C₂²×C₃₁	semidirect
1029. #435	C₂²×C₃₁	semidirect
1030. C₈×D₄	C₂²×C₃₁	semidirect
1031. #433	C₂²×C₃₁	semidirect
1032. #433	C₂²×C₃₁	semidirect
1033. #431	C₂²×C₃₁	semidirect
1034. #419	C₂²×C₃₁	semidirect
1035. #419	C₂²×C₃₁	semidirect
1038. #418	C₂²×C₃₁	semidirect
1039. #418	C₂²×C₃₁	semidirect
1040. #417	C₂²×C₃₁	semidirect
1041. #417	C₂²×C₃₁	semidirect
1042. #416	C₂²×C₃₁	semidirect
1043. #416	C₂²×C₃₁	semidirect
1044. C₂×#102	C₂²×C₃₁	semidirect
1045. C₂×#102	C₂²×C₃₁	semidirect
1046. #405	C₂²×C₃₁	semidirect
1047. #405	C₂²×C₃₁	semidirect
1048. C₄×M₁₆	C₂²×C₃₁	semidirect
1335. C₃₁	#62614	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃₁×#3565	2
C₃₁×#3558	2
C₃₁×#3371	2
C₃₁×#3370	2
C₃₁×#3365	2
C₃₁×#3361	2
C₃₁×#3327	2
C₃₁×#3326	2
C₃₁×#3325	2
C₃₁×#3324	2
C₃₁×#3323	2
C₃₁×#3322	2
C₃₁×#3321	2
C₃₁×#3318	2
C₃₁×#3313	2
C₃₁×#3310	2
C₃₁×#3297	2
C₃₁×#3296	2
C₃₁×#3244	2
C₃₁×#3243	2
C₃₁×#3228	2
C₃₁×#3224	2
C₃₁×#3211	2
C₃₁×#3175	2
C₃₁×#3173	2
C₃₁×#3171	2
C₃₁×#3140	2
C₃₁×#3136	2
C₃₁×#2969	2
#62614	31

Subgroups — C31×#62614 #21519373

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#62614 #21519373