Subgroups — C₃₁×#61520 #21518279

Order 7936.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3523	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3513	C₂	1	1	yes	maximal, characteristic
3	C₃₁×#3400	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3372	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3371	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3350	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3343	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3336	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3320	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3312	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3311	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3310	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3298	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3296	C₂	1	1	yes	maximal, characteristic, complemented
16	D₄×SD₁₆×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3266	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3181	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3178	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3174	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3126	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3123	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3121	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3108	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3101	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#2968	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#2949	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃₁×#2947	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₃₁×#440	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic
33	C₂²×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
34	C₂²×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
35	C₃₁×#559	C₂²	1	1	yes	characteristic
36	C₃₁×#557	—	2	1	no	—
37	C₃₁×#557	C₂²	1	1	yes	characteristic, complemented
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×#554	C₂²	1	1	yes	characteristic
42	C₃₁×#553	—	2	1	no	—
43	C₃₁×#553	C₂²	1	1	yes	characteristic
44	C₃₁×#552	—	2	1	no	—
45	C₃₁×#552	—	2	1	no	—
46	C₃₁×#552	C₂²	1	1	yes	characteristic
47	C₃₁×#552	C₂²	1	1	yes	characteristic
48	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
49	C₃₁×#551	—	2	1	no	—
50	C₃₁×#551	—	2	1	no	—
51	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
52	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
53	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
54	C₃₁×#547	C₂²	1	1	yes	characteristic
55	C₃₁×#546	—	2	1	no	—
56	C₃₁×#546	C₂²	1	1	yes	characteristic
57	C₃₁×#546	C₂²	1	1	yes	characteristic
58	D₄²×C₃₁	C₂²	1	1	yes	characteristic
59	C₃₁×#542	C₂²	1	1	yes	characteristic
60	C₃₁×#541	—	2	1	no	—
61	C₃₁×#541	—	2	1	no	—
62	C₃₁×#541	C₂²	1	1	yes	characteristic, complemented
63	C₃₁×#541	C₂²	1	1	yes	characteristic, complemented
64	C₃₁×#540	C₂²	1	1	yes	characteristic
65	C₃₁×#539	—	2	1	no	—
66	C₃₁×#538	—	2	1	no	—
67	C₃₁×#533	—	2	1	no	—
68	C₃₁×#533	C₂²	1	1	yes	characteristic, complemented
69	C₃₁×#529	—	2	1	no	—
70	C₃₁×#529	C₂²	1	1	yes	characteristic
71	C₃₁×#529	C₂²	1	1	yes	characteristic
72	C₃₁×#525	—	2	1	no	—
73	C₂×C₃₁×#123	—	2	1	no	—
74	C₃₁×#520	C₂²	1	1	yes	characteristic
75	C₃₁×#519	C₂²	1	1	yes	characteristic, complemented
76	C₃₁×#519	C₂²	1	1	yes	characteristic, complemented
77	C₃₁×#518	C₂²	1	1	yes	characteristic
78	C₂×C₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
80	C₃₁×#501	C₂²	1	1	yes	characteristic, complemented
81	C₃₁×#501	C₂²	1	1	yes	characteristic, complemented
82	C₃₁×#499	C₂²	1	1	yes	characteristic, complemented
83	C₃₁×#497	C₂²	1	1	yes	characteristic, complemented
84	C₃₁×#497	C₂²	1	1	yes	characteristic, complemented
85	C₃₁×#492	C₂²	1	1	yes	characteristic
86	C₃₁×#491	C₂²	1	1	yes	characteristic, complemented
87	C₃₁×#491	C₂²	1	1	yes	characteristic, complemented
88	C₃₁×#490	C₂²	1	1	yes	characteristic
89	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
90	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
91	C₃₁×#487	C₂²	1	1	yes	characteristic, complemented
92	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
93	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
94	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
95	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
96	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
97	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
98	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
99	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
100	C₃₁×#482	C₂²	1	1	yes	characteristic
101	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
102	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
103	C₃₁×#480	C₂²	1	1	yes	characteristic
104	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
105	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
106	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
108	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#478	C₂²	1	1	yes	characteristic
110	C₃₁×#478	C₂²	1	1	yes	characteristic
111	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#477	C₂²	1	1	yes	characteristic, complemented
113	C₃₁×#476	C₂²	1	1	yes	characteristic
114	C₃₁×#476	C₂²	1	1	yes	characteristic, complemented
115	C₃₁×#475	C₂²	1	1	yes	characteristic, complemented
116	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
117	C₃₁×#468	C₂²	1	1	yes	characteristic
118	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
119	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
120	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
121	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
122	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
123	C₃₁×#465	C₂²	1	1	yes	characteristic
124	C₃₁×#465	C₂²	1	1	yes	characteristic
125	C₃₁×#465	C₂²	1	1	yes	characteristic
126	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
127	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
128	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
129	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
130	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
131	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
132	C₃₁×#462	C₂²	1	1	yes	characteristic, complemented
133	C₃₁×#461	C₂²	1	1	yes	characteristic
134	C₃₁×#461	C₂²	1	1	yes	characteristic
135	C₃₁×#461	C₂²	1	1	yes	characteristic
136	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
137	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
138	C₃₁×#460	C₂²	1	1	yes	characteristic
139	C₃₁×#460	C₂²	1	1	yes	characteristic
140	C₃₁×#452	C₂²	1	1	yes	characteristic
141	C₃₁×#452	C₂²	1	1	yes	characteristic
142	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
143	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
144	C₃₁×#450	C₂²	1	1	yes	characteristic
145	C₃₁×#450	C₂²	1	1	yes	characteristic
146	C₃₁×#450	C₂²	1	1	yes	characteristic
147	C₃₁×#450	C₂²	1	1	yes	characteristic
148	C₃₁×#448	C₂²	1	1	yes	characteristic
149	C₃₁×#448	C₂²	1	1	yes	characteristic
150	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
151	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
152	C₃₁×#446	C₂²	1	1	yes	characteristic, complemented
153	C₃₁×#446	C₂²	1	1	yes	characteristic, complemented
154	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
155	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
156	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
157	C₃₁×#440	C₂²	1	1	yes	characteristic
158	C₃₁×#440	C₂²	1	1	yes	characteristic
159	C₃₁×#440	C₂²	1	1	yes	characteristic
160	C₃₁×#440	C₂²	1	1	yes	characteristic
161	C₃₁×#440	C₂²	1	1	yes	characteristic
162	C₃₁×#440	C₂²	1	1	yes	characteristic
163	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
164	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
165	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
166	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
167	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
168	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
169	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
170	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
171	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
172	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
173	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
174	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
175	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
176	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
177	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
178	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
179	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
180	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
181	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
182	C₃₁×#435	C₂²	1	1	yes	characteristic
183	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
184	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
185	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
186	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic
187	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
188	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
189	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
190	C₃₁×#431	C₂²	1	1	yes	characteristic, complemented
191	C₃₁×#428	C₂²	1	1	yes	characteristic, complemented
192	C₃₁×#427	C₂²	1	1	yes	characteristic, complemented
193	C₂×C₃₁×#107	C₂²	1	1	yes	characteristic, complemented
194	C₃₁×#419	C₂²	1	1	yes	characteristic, complemented
195	C₃₁×#418	C₂²	1	1	yes	characteristic
196	C₃₁×#416	C₂²	1	1	yes	characteristic
197	C₂×C₃₁×#103	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₃₁×#103	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₃₁×#102	C₂²	1	1	yes	characteristic
200	C₃₁×#405	C₂²	1	1	yes	characteristic, complemented
201	C₃₁×#405	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₃₁×#97	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₃₁	—	2	1	no	—
204	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₃₁	—	2	1	no	—
209	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₃₁	—	2	1	no	—
212	C₃₁×#137	—	2	4	no	—
213	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
214	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
215	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
216	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₃₁	—	2	4	no	—
218	C₂×SD₁₆×C₃₁	—	2	4	no	—
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×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
228	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
229	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
230	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
231	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
232	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
233	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
234	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
235	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
236	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
237	C₃₁×C₄⋊Q₈	—	2	1	no	—
238	C₃₁×C₄⋊Q₈	—	2	1	no	—
239	C₃₁×C₄⋊Q₈	—	2	1	no	—
240	C₃₁×C₄⋊Q₈	—	2	1	no	—
241	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
244	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
245	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
246	C₃₁×#127	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
260	C₃₁×#126	D₄	1	1	yes	characteristic
261	C₃₁×#125	—	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	C₂³	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×#124	—	2	1	no	—
280	C₃₁×#124	—	2	1	no	—
281	C₃₁×#124	—	2	1	no	—
282	C₃₁×#124	D₄	1	1	yes	characteristic
283	C₃₁×#124	C₂³	1	1	yes	characteristic
284	C₃₁×#124	C₂³	1	1	yes	characteristic
285	C₃₁×#123	—	2	1	no	—
286	C₃₁×#123	—	2	1	no	—
287	C₃₁×#123	—	2	1	no	—
288	C₃₁×#123	—	2	1	no	—
289	C₃₁×#123	—	2	1	no	—
290	C₃₁×#123	—	2	1	no	—
291	C₃₁×#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	D₄	1	1	yes	characteristic
300	C₃₁×#123	D₄	1	1	yes	characteristic
301	C₃₁×C₂²⋊Q₈	—	2	1	no	—
302	C₃₁×C₂²⋊Q₈	—	2	1	no	—
303	C₃₁×C₂²⋊Q₈	—	2	1	no	—
304	C₃₁×C₂²⋊Q₈	—	2	1	no	—
305	C₃₁×C₂²⋊Q₈	—	2	1	no	—
306	C₃₁×C₂²⋊Q₈	—	2	1	no	—
307	C₃₁×C₂²⋊Q₈	—	2	1	no	—
308	C₃₁×C₂²⋊Q₈	—	2	1	no	—
309	C₃₁×C₂²⋊Q₈	—	2	1	no	—
310	C₃₁×C₂²⋊Q₈	—	2	1	no	—
311	C₃₁×C₂²⋊Q₈	—	2	1	no	—
312	C₃₁×C₂²⋊Q₈	—	2	1	no	—
313	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
314	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
315	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
316	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
317	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
318	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
319	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
320	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
321	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
322	C₃₁×#121	—	2	1	no	—
323	C₃₁×#121	—	2	1	no	—
324	C₃₁×#121	—	2	1	no	—
325	C₃₁×#121	—	2	1	no	—
326	C₃₁×#121	—	2	1	no	—
327	C₃₁×#121	—	2	1	no	—
328	C₃₁×#121	D₄	1	1	yes	characteristic
329	C₃₁×#121	C₂³	1	1	yes	characteristic
330	C₃₁×#121	C₂³	1	1	yes	characteristic
331	C₃₁×#121	C₂³	1	1	yes	characteristic
332	C₃₁×#121	C₂³	1	1	yes	characteristic
333	C₃₁×#120	—	2	1	no	—
334	C₃₁×#120	—	2	1	no	—
335	C₃₁×#120	—	2	1	no	—
336	C₃₁×#120	—	2	1	no	—
337	C₄×Q₈×C₃₁	—	2	1	no	—
338	C₄×Q₈×C₃₁	—	2	1	no	—
339	C₄×Q₈×C₃₁	—	2	1	no	—
340	C₄×Q₈×C₃₁	—	2	1	no	—
341	C₄×Q₈×C₃₁	—	2	1	no	—
342	C₄×Q₈×C₃₁	—	2	1	no	—
343	C₄×Q₈×C₃₁	—	2	1	no	—
344	C₄×Q₈×C₃₁	—	2	1	no	—
345	C₄×Q₈×C₃₁	—	2	1	no	—
346	C₄×Q₈×C₃₁	—	2	1	no	—
347	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
353	C₄×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×D₄×C₃₁	—	2	1	no	—
361	C₄×D₄×C₃₁	—	2	1	no	—
362	C₄×D₄×C₃₁	—	2	1	no	—
363	C₄×D₄×C₃₁	—	2	1	no	—
364	C₄×D₄×C₃₁	—	2	1	no	—
365	C₄×D₄×C₃₁	—	2	1	no	—
366	C₄×D₄×C₃₁	—	2	1	no	—
367	C₄×D₄×C₃₁	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
379	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	C₃₁×#117	—	2	1	no	—
384	C₃₁×#117	—	2	1	no	—
385	C₃₁×#117	—	2	1	no	—
386	C₃₁×#117	—	2	1	no	—
387	C₃₁×#117	—	2	1	no	—
388	C₃₁×#117	—	2	1	no	—
389	C₃₁×#117	—	2	1	no	—
390	C₃₁×#117	—	2	1	no	—
391	C₃₁×#117	—	2	1	no	—
392	C₃₁×#117	—	2	1	no	—
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	C₃₁×#117	C₂³	1	1	yes	characteristic
397	C₃₁×#117	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
399	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
400	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
401	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
404	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
405	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
406	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
407	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
408	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
409	C₂×C₄²×C₃₁	—	2	1	no	—
410	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
411	C₃₁×#107	C₂³	1	1	yes	characteristic
412	C₃₁×#107	C₂³	1	1	yes	characteristic
413	C₃₁×#107	C₂³	1	1	yes	characteristic
414	C₃₁×#107	C₂³	1	1	yes	characteristic
415	C₃₁×#107	C₂³	1	1	yes	characteristic
416	C₃₁×#107	C₂³	1	1	yes	characteristic
417	C₃₁×#107	C₂³	1	1	yes	characteristic
418	C₃₁×#107	C₂³	1	1	yes	characteristic
419	C₃₁×#106	C₂³	1	1	yes	characteristic
420	C₃₁×#106	C₂³	1	1	yes	characteristic
421	C₃₁×#106	C₂³	1	1	yes	characteristic
422	C₃₁×#106	C₂³	1	1	yes	characteristic
423	C₃₁×#106	C₂³	1	1	yes	characteristic
424	C₃₁×#106	C₂³	1	1	yes	characteristic
425	C₃₁×#106	C₂³	1	1	yes	characteristic
426	C₃₁×#106	C₂³	1	1	yes	characteristic
427	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₃₁×#103	C₂³	1	1	yes	characteristic
434	C₃₁×#103	C₂³	1	1	yes	characteristic
435	C₃₁×#103	C₂³	1	1	yes	characteristic
436	C₃₁×#103	C₂³	1	1	yes	characteristic
437	C₃₁×#103	C₂³	1	1	yes	characteristic
438	C₃₁×#103	C₂³	1	1	yes	characteristic
439	C₃₁×#103	C₂³	1	1	yes	characteristic
440	C₃₁×#103	C₂³	1	1	yes	characteristic
441	C₃₁×#103	C₂³	1	1	yes	characteristic
442	C₃₁×#103	C₂³	1	1	yes	characteristic
443	C₃₁×#103	C₂³	1	1	yes	characteristic
444	C₃₁×#103	C₂³	1	1	yes	characteristic
445	C₃₁×#103	C₂³	1	1	yes	characteristic
446	C₃₁×#103	C₂³	1	1	yes	characteristic
447	C₃₁×#103	C₂³	1	1	yes	characteristic
448	C₃₁×#103	C₂³	1	1	yes	characteristic
449	C₃₁×#103	C₂³	1	1	yes	characteristic
450	C₃₁×#103	C₂³	1	1	yes	characteristic
451	C₃₁×#103	C₂³	1	1	yes	characteristic
452	C₃₁×#103	C₂³	1	1	yes	characteristic
453	C₃₁×#102	C₂³	1	1	yes	characteristic
454	C₃₁×#102	C₂³	1	1	yes	characteristic
455	C₃₁×#102	C₂³	1	1	yes	characteristic
456	C₃₁×#102	C₂³	1	1	yes	characteristic
457	C₃₁×#102	C₂³	1	1	yes	characteristic
458	C₃₁×#102	C₂³	1	1	yes	characteristic
459	C₃₁×#102	C₂³	1	1	yes	characteristic
460	C₃₁×#102	C₂³	1	1	yes	characteristic
461	C₃₁×#102	C₂³	1	1	yes	characteristic
462	C₃₁×#102	C₂³	1	1	yes	characteristic
463	C₃₁×#102	C₂³	1	1	yes	characteristic
464	C₃₁×#102	C₂³	1	1	yes	characteristic
465	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₃₁×#97	C₂³	1	1	yes	characteristic
472	C₃₁×#97	C₂³	1	1	yes	characteristic
473	C₃₁×#97	C₂³	1	1	yes	characteristic
474	C₃₁×#97	C₂³	1	1	yes	characteristic
475	C₃₁×#97	C₂³	1	1	yes	characteristic
476	C₃₁×#97	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
478	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
479	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
481	C₂⁴×C₃₁	—	2	1	no	—
482	C₂⁴×C₃₁	—	2	1	no	—
483	#41×C₃₁	—	2	2	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	2	no	—
492	C₂×Q₈×C₃₁	—	2	2	no	—
493	C₂×Q₈×C₃₁	—	2	2	no	—
494	C₂×Q₈×C₃₁	—	4	1	no	—
495	C₂×Q₈×C₃₁	—	4	1	no	—
496	C₂×Q₈×C₃₁	—	4	1	no	—
497	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
498	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
503	C₂×D₄×C₃₁	—	2	2	no	—
504	C₂×D₄×C₃₁	—	2	2	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	—	4	1	no	—
515	C₂×D₄×C₃₁	—	4	1	no	—
516	C₂×D₄×C₃₁	—	8	2	no	—
517	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
518	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
519	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
520	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
521	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
522	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₃₁	—	2	1	no	—
524	C₂²×C₄×C₃₁	—	2	1	no	—
525	C₂²×C₄×C₃₁	—	2	1	no	—
526	C₂²×C₄×C₃₁	—	2	1	no	—
527	C₂²×C₄×C₃₁	—	2	1	no	—
528	C₂²×C₄×C₃₁	—	2	1	no	—
529	C₂²×C₄×C₃₁	—	2	1	no	—
530	C₂²×C₄×C₃₁	—	2	1	no	—
531	C₂²×C₄×C₃₁	—	2	1	no	—
532	C₂²×C₄×C₃₁	—	2	1	no	—
533	C₂²×C₄×C₃₁	—	2	1	no	—
534	C₂²×C₄×C₃₁	—	2	1	no	—
535	C₂²×C₄×C₃₁	—	2	1	no	—
536	C₂²×C₄×C₃₁	—	2	1	no	—
537	C₂²×C₄×C₃₁	—	2	1	no	—
538	C₂²×C₄×C₃₁	—	8	2	no	—
539	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
540	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
544	Q₁₆×C₃₁	—	2	2	no	—
545	Q₁₆×C₃₁	—	2	2	no	—
546	Q₁₆×C₃₁	—	4	1	no	—
547	Q₁₆×C₃₁	—	4	1	no	—
548	SD₁₆×C₃₁	—	2	2	no	—
549	SD₁₆×C₃₁	—	2	2	no	—
550	SD₁₆×C₃₁	—	2	2	no	—
551	SD₁₆×C₃₁	—	2	2	no	—
552	SD₁₆×C₃₁	—	2	2	no	—
553	SD₁₆×C₃₁	—	2	2	no	—
554	SD₁₆×C₃₁	—	2	2	no	—
555	SD₁₆×C₃₁	—	4	1	no	—
556	SD₁₆×C₃₁	—	4	1	no	—
557	SD₁₆×C₃₁	—	4	1	no	—
558	SD₁₆×C₃₁	—	4	1	no	—
559	SD₁₆×C₃₁	#41	1	4	yes	complemented
560	M₁₆×C₃₁	—	2	2	no	—
561	M₁₆×C₃₁	—	4	1	no	—
562	C₂×C₈×C₃₁	—	2	2	no	—
563	C₂×C₈×C₃₁	—	2	2	no	—
564	C₂×C₈×C₃₁	—	4	1	no	—
565	C₂×C₈×C₃₁	—	4	1	no	—
566	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
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	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	—	2	1	no	—
598	C₄⋊C₄×C₃₁	—	2	1	no	—
599	C₄⋊C₄×C₃₁	—	2	1	no	—
600	C₄⋊C₄×C₃₁	—	2	1	no	—
601	C₄⋊C₄×C₃₁	—	2	1	no	—
602	C₄⋊C₄×C₃₁	—	2	1	no	—
603	C₄⋊C₄×C₃₁	—	2	1	no	—
604	C₄⋊C₄×C₃₁	—	2	1	no	—
605	C₄⋊C₄×C₃₁	—	2	1	no	—
606	C₄⋊C₄×C₃₁	—	2	1	no	—
607	C₄⋊C₄×C₃₁	—	2	1	no	—
608	C₄⋊C₄×C₃₁	—	2	1	no	—
609	C₄⋊C₄×C₃₁	—	2	1	no	—
610	C₄⋊C₄×C₃₁	—	2	1	no	—
611	C₄⋊C₄×C₃₁	—	2	1	no	—
612	C₄⋊C₄×C₃₁	—	2	1	no	—
613	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
614	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
615	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
616	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
617	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
618	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
619	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
620	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
621	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
622	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
623	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
624	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
625	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
626	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
627	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
628	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
629	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
630	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
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	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
668	C₄²×C₃₁	—	2	1	no	—
669	C₄²×C₃₁	—	2	1	no	—
670	C₄²×C₃₁	—	2	1	no	—
671	C₄²×C₃₁	—	2	1	no	—
672	C₄²×C₃₁	—	2	1	no	—
673	C₄²×C₃₁	—	2	1	no	—
674	C₄²×C₃₁	—	2	1	no	—
675	C₄²×C₃₁	—	2	1	no	—
676	C₄²×C₃₁	—	2	1	no	—
677	C₄²×C₃₁	—	2	1	no	—
678	C₄²×C₃₁	—	2	1	no	—
679	C₄²×C₃₁	—	2	1	no	—
680	C₄²×C₃₁	—	2	1	no	—
681	C₄²×C₃₁	—	2	1	no	—
682	C₄²×C₃₁	—	2	1	no	—
683	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
684	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
685	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
686	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
687	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
688	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
689	#61520	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
690	C₂³×C₃₁	—	2	1	no	—
691	C₂³×C₃₁	—	2	1	no	—
692	C₂³×C₃₁	—	2	1	no	—
693	C₂³×C₃₁	—	4	2	no	—
694	C₂³×C₃₁	—	4	2	no	—
695	C₂³×C₃₁	—	4	2	no	—
696	C₂³×C₃₁	—	8	1	no	—
697	C₂³×C₃₁	—	8	1	no	—
698	C₂³×C₃₁	—	8	1	no	—
699	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
700	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
701	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
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	—	2	1	no	—
707	Q₈×C₃₁	—	2	1	no	—
708	Q₈×C₃₁	—	2	1	no	—
709	Q₈×C₃₁	—	2	1	no	—
710	Q₈×C₃₁	—	2	1	no	—
711	Q₈×C₃₁	—	4	1	no	—
712	Q₈×C₃₁	—	4	2	no	—
713	Q₈×C₃₁	—	4	2	no	—
714	Q₈×C₃₁	—	4	2	no	—
715	Q₈×C₃₁	—	4	2	no	—
716	Q₈×C₃₁	—	8	1	no	—
717	Q₈×C₃₁	C₂×#41	1	2	yes	—
718	D₄×C₃₁	—	2	2	no	—
719	D₄×C₃₁	—	2	2	no	—
720	D₄×C₃₁	—	2	1	no	—
721	D₄×C₃₁	—	2	1	no	—
722	D₄×C₃₁	—	2	1	no	—
723	D₄×C₃₁	—	2	1	no	—
724	D₄×C₃₁	—	2	1	no	—
725	D₄×C₃₁	—	4	1	no	—
726	D₄×C₃₁	—	4	2	no	—
727	D₄×C₃₁	—	4	2	no	—
728	D₄×C₃₁	—	4	2	no	—
729	D₄×C₃₁	—	4	2	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	C₂×#41	1	2	yes	—
736	C₂×C₄×C₃₁	—	2	2	no	—
737	C₂×C₄×C₃₁	—	2	1	no	—
738	C₂×C₄×C₃₁	—	2	1	no	—
739	C₂×C₄×C₃₁	—	2	1	no	—
740	C₂×C₄×C₃₁	—	2	1	no	—
741	C₂×C₄×C₃₁	—	2	1	no	—
742	C₂×C₄×C₃₁	—	2	1	no	—
743	C₂×C₄×C₃₁	—	2	1	no	—
744	C₂×C₄×C₃₁	—	2	1	no	—
745	C₂×C₄×C₃₁	—	2	1	no	—
746	C₂×C₄×C₃₁	—	2	1	no	—
747	C₂×C₄×C₃₁	—	2	1	no	—
748	C₂×C₄×C₃₁	—	2	1	no	—
749	C₂×C₄×C₃₁	—	2	1	no	—
750	C₂×C₄×C₃₁	—	2	1	no	—
751	C₂×C₄×C₃₁	—	2	1	no	—
752	C₂×C₄×C₃₁	—	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	—	4	1	no	—
757	C₂×C₄×C₃₁	—	4	2	no	—
758	C₂×C₄×C₃₁	—	4	2	no	—
759	C₂×C₄×C₃₁	—	4	2	no	—
760	C₂×C₄×C₃₁	—	4	2	no	—
761	C₂×C₄×C₃₁	—	4	2	no	—
762	C₂×C₄×C₃₁	—	4	2	no	—
763	C₂×C₄×C₃₁	—	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	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
784	C₈×C₃₁	—	2	1	no	—
785	C₈×C₃₁	—	2	1	no	—
786	C₈×C₃₁	—	2	1	no	—
787	C₈×C₃₁	—	2	1	no	—
788	C₈×C₃₁	—	2	1	no	—
789	C₈×C₃₁	—	2	1	no	—
790	C₈×C₃₁	—	2	1	no	—
791	C₈×C₃₁	C₂×#41	1	2	yes	—
792	#3523	C₂×C₃₁	1	1	yes	characteristic, complemented
793	#3513	C₂×C₃₁	1	1	yes	characteristic
794	#3400	C₂×C₃₁	1	1	yes	characteristic, complemented
795	#3388	C₂×C₃₁	1	1	yes	characteristic, complemented
796	#3372	C₂×C₃₁	1	1	yes	characteristic, complemented
797	#3371	C₂×C₃₁	1	1	yes	characteristic, complemented
798	#3350	C₂×C₃₁	1	1	yes	characteristic, complemented
799	#3343	C₂×C₃₁	1	1	yes	characteristic, complemented
800	#3336	C₂×C₃₁	1	1	yes	characteristic, complemented
801	#3320	C₂×C₃₁	1	1	yes	characteristic, complemented
802	#3312	C₂×C₃₁	1	1	yes	characteristic, complemented
803	#3311	C₂×C₃₁	1	1	yes	characteristic, complemented
804	#3310	C₂×C₃₁	1	1	yes	characteristic, complemented
805	#3298	C₂×C₃₁	1	1	yes	characteristic, complemented
806	#3296	C₂×C₃₁	1	1	yes	characteristic, complemented
807	D₄×SD₁₆	C₂×C₃₁	1	1	yes	characteristic, complemented
808	#3266	C₂×C₃₁	1	1	yes	characteristic, complemented
809	#3266	C₂×C₃₁	1	1	yes	characteristic, complemented
810	#3181	C₂×C₃₁	1	1	yes	characteristic, complemented
811	#3178	C₂×C₃₁	1	1	yes	characteristic, complemented
812	#3174	C₂×C₃₁	1	1	yes	characteristic, complemented
813	#3126	C₂×C₃₁	1	1	yes	characteristic, complemented
814	#3123	C₂×C₃₁	1	1	yes	characteristic, complemented
815	#3121	C₂×C₃₁	1	1	yes	characteristic, complemented
816	#3120	C₂×C₃₁	1	1	yes	characteristic, complemented
817	#3108	C₂×C₃₁	1	1	yes	characteristic, complemented
818	#3101	C₂×C₃₁	1	1	yes	characteristic, complemented
819	#2968	C₂×C₃₁	1	1	yes	characteristic, complemented
820	#2949	C₂×C₃₁	1	1	yes	characteristic, complemented
821	#2947	C₂×C₃₁	1	1	yes	characteristic, complemented
822	C₂×#440	C₂×C₃₁	1	1	yes	characteristic, complemented
823	C₂²×C₃₁	—	2	1	no	—
824	C₂²×C₃₁	—	2	1	no	—
825	C₂²×C₃₁	—	2	1	no	—
826	C₂²×C₃₁	—	2	1	no	—
827	C₂²×C₃₁	—	2	1	no	—
828	C₂²×C₃₁	—	2	1	no	—
829	C₂²×C₃₁	—	2	2	no	—
830	C₂²×C₃₁	—	2	1	no	—
831	C₂²×C₃₁	—	2	1	no	—
832	C₂²×C₃₁	—	4	1	no	—
833	C₂²×C₃₁	—	4	1	no	—
834	C₂²×C₃₁	—	4	1	no	—
835	C₂²×C₃₁	—	4	1	no	—
836	C₂²×C₃₁	—	4	1	no	—
837	C₂²×C₃₁	—	4	1	no	—
838	C₂²×C₃₁	—	4	1	no	—
839	C₂²×C₃₁	—	4	1	no	—
840	C₂²×C₃₁	—	8	4	no	—
841	C₂²×C₃₁	—	16	2	no	—
842	C₂²×C₃₁	#577	1	2	yes	—
843	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
844	C₄×C₃₁	—	2	1	no	—
845	C₄×C₃₁	—	2	1	no	—
846	C₄×C₃₁	—	2	1	no	—
847	C₄×C₃₁	—	2	1	no	—
848	C₄×C₃₁	—	2	1	no	—
849	C₄×C₃₁	—	2	1	no	—
850	C₄×C₃₁	—	2	1	no	—
851	C₄×C₃₁	—	2	2	no	—
852	C₄×C₃₁	—	2	1	no	—
853	C₄×C₃₁	—	2	1	no	—
854	C₄×C₃₁	—	2	1	no	—
855	C₄×C₃₁	—	2	1	no	—
856	C₄×C₃₁	—	4	1	no	—
857	C₄×C₃₁	—	4	1	no	—
858	C₄×C₃₁	—	4	1	no	—
859	C₄×C₃₁	—	4	1	no	—
860	C₄×C₃₁	—	4	1	no	—
861	C₄×C₃₁	—	4	1	no	—
862	C₄×C₃₁	—	4	1	no	—
863	C₄×C₃₁	—	4	1	no	—
864	C₄×C₃₁	—	4	1	no	—
865	C₄×C₃₁	—	4	1	no	—
866	C₄×C₃₁	—	4	1	no	—
867	C₄×C₃₁	—	4	1	no	—
868	C₄×C₃₁	C₂²×#41	1	1	yes	characteristic
869	C₄×C₃₁	#585	1	1	yes	characteristic
870	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic
871	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
872	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
873	#559	C₂²×C₃₁	1	1	yes	characteristic
874	#557	—	2	1	no	—
875	#557	C₂²×C₃₁	1	1	yes	characteristic, complemented
876	#557	C₂²×C₃₁	1	1	yes	characteristic, complemented
877	#556	—	2	1	no	—
878	#556	C₂²×C₃₁	1	1	yes	characteristic, complemented
879	#554	C₂²×C₃₁	1	1	yes	characteristic
880	#553	—	2	1	no	—
881	#553	C₂²×C₃₁	1	1	yes	characteristic
882	#552	—	2	1	no	—
883	#552	—	2	1	no	—
884	#552	C₂²×C₃₁	1	1	yes	characteristic
885	#552	C₂²×C₃₁	1	1	yes	characteristic
886	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
887	#551	—	2	1	no	—
888	#551	—	2	1	no	—
889	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
890	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
891	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
892	#547	C₂²×C₃₁	1	1	yes	characteristic
893	#546	—	2	1	no	—
894	#546	C₂²×C₃₁	1	1	yes	characteristic
895	#546	C₂²×C₃₁	1	1	yes	characteristic
896	D₄²	C₂²×C₃₁	1	1	yes	characteristic
897	#542	C₂²×C₃₁	1	1	yes	characteristic
898	#541	—	2	1	no	—
899	#541	—	2	1	no	—
900	#541	C₂²×C₃₁	1	1	yes	characteristic, complemented
901	#541	C₂²×C₃₁	1	1	yes	characteristic, complemented
902	#540	C₂²×C₃₁	1	1	yes	characteristic
903	#539	—	2	1	no	—
904	#538	—	2	1	no	—
905	#533	—	2	1	no	—
906	#533	C₂²×C₃₁	1	1	yes	characteristic, complemented
907	#529	—	2	1	no	—
908	#529	C₂²×C₃₁	1	1	yes	characteristic
909	#529	C₂²×C₃₁	1	1	yes	characteristic
910	#525	—	2	1	no	—
911	C₂×#123	—	2	1	no	—
912	#520	C₂²×C₃₁	1	1	yes	characteristic
913	#519	C₂²×C₃₁	1	1	yes	characteristic, complemented
914	#519	C₂²×C₃₁	1	1	yes	characteristic, complemented
915	#518	C₂²×C₃₁	1	1	yes	characteristic
916	C₂×C₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
917	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
918	#501	C₂²×C₃₁	1	1	yes	characteristic, complemented
919	#501	C₂²×C₃₁	1	1	yes	characteristic, complemented
920	#499	C₂²×C₃₁	1	1	yes	characteristic, complemented
921	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
922	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
923	#492	C₂²×C₃₁	1	1	yes	characteristic
924	#491	C₂²×C₃₁	1	1	yes	characteristic, complemented
925	#491	C₂²×C₃₁	1	1	yes	characteristic, complemented
926	#490	C₂²×C₃₁	1	1	yes	characteristic
927	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
928	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
929	#487	C₂²×C₃₁	1	1	yes	characteristic, complemented
930	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
931	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
932	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
933	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
934	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
935	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
936	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
937	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
938	#482	C₂²×C₃₁	1	1	yes	characteristic
939	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
940	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
941	#480	C₂²×C₃₁	1	1	yes	characteristic
942	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
943	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
944	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
945	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
946	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
947	#478	C₂²×C₃₁	1	1	yes	characteristic
948	#478	C₂²×C₃₁	1	1	yes	characteristic
949	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
950	#477	C₂²×C₃₁	1	1	yes	characteristic, complemented
951	#476	C₂²×C₃₁	1	1	yes	characteristic
952	#476	C₂²×C₃₁	1	1	yes	characteristic, complemented
953	#475	C₂²×C₃₁	1	1	yes	characteristic, complemented
954	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
955	#468	C₂²×C₃₁	1	1	yes	characteristic
956	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
957	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
958	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
959	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
960	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
961	#465	C₂²×C₃₁	1	1	yes	characteristic
962	#465	C₂²×C₃₁	1	1	yes	characteristic
963	#465	C₂²×C₃₁	1	1	yes	characteristic
964	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
965	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
966	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
967	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
968	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
969	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
970	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
971	#461	C₂²×C₃₁	1	1	yes	characteristic
972	#461	C₂²×C₃₁	1	1	yes	characteristic
973	#461	C₂²×C₃₁	1	1	yes	characteristic
974	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
975	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
976	#460	C₂²×C₃₁	1	1	yes	characteristic
977	#460	C₂²×C₃₁	1	1	yes	characteristic
978	#452	C₂²×C₃₁	1	1	yes	characteristic
979	#452	C₂²×C₃₁	1	1	yes	characteristic
980	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
981	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
982	#450	C₂²×C₃₁	1	1	yes	characteristic
983	#450	C₂²×C₃₁	1	1	yes	characteristic
984	#450	C₂²×C₃₁	1	1	yes	characteristic
985	#450	C₂²×C₃₁	1	1	yes	characteristic
986	#448	C₂²×C₃₁	1	1	yes	characteristic
987	#448	C₂²×C₃₁	1	1	yes	characteristic
988	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
989	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
990	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
991	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
992	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
993	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
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	#440	C₂²×C₃₁	1	1	yes	characteristic
1000	#440	C₂²×C₃₁	1	1	yes	characteristic
1001	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1002	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1003	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1004	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1005	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1006	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1007	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1008	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1009	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1010	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1011	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1012	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1013	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1014	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1015	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1016	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1017	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1018	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1019	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1020	#435	C₂²×C₃₁	1	1	yes	characteristic
1021	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1022	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1023	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic
1025	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1027	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1028	#431	C₂²×C₃₁	1	1	yes	characteristic, complemented
1029	#428	C₂²×C₃₁	1	1	yes	characteristic, complemented
1030	#427	C₂²×C₃₁	1	1	yes	characteristic, complemented
1031	C₂×#107	C₂²×C₃₁	1	1	yes	characteristic, complemented
1032	#419	C₂²×C₃₁	1	1	yes	characteristic, complemented
1033	#418	C₂²×C₃₁	1	1	yes	characteristic
1034	#416	C₂²×C₃₁	1	1	yes	characteristic
1035	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic, complemented
1036	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic, complemented
1037	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic
1038	#405	C₂²×C₃₁	1	1	yes	characteristic, complemented
1039	#405	C₂²×C₃₁	1	1	yes	characteristic, complemented
1040	C₂×#97	C₂²×C₃₁	1	1	yes	characteristic, complemented
1041	C₂×C₃₁	—	2	2	no	—
1042	C₂×C₃₁	—	4	1	no	—
1043	C₂×C₃₁	—	4	1	no	—
1044	C₂×C₃₁	—	4	2	no	—
1045	C₂×C₃₁	—	8	1	no	—
1046	C₂×C₃₁	—	8	1	no	—
1047	C₂×C₃₁	D₄×#41	1	1	yes	characteristic
1048	C₂×C₃₁	C₂×#577	1	1	yes	characteristic
1049	C₂×C₃₁	#3586	1	1	yes	characteristic
1050	C₂×#41	—	2	1	no	—
1051	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1052	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1053	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1054	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1055	C₂²×D₄	—	2	1	no	—
1056	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1057	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1058	C₂³×C₄	—	2	1	no	—
1059	#137	—	2	4	no	—
1060	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1061	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1062	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1063	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1064	C₂×SD₁₆	—	2	4	no	—
1065	C₂×SD₁₆	—	2	4	no	—
1066	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1067	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1068	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1069	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1070	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1071	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1072	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1073	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1074	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1075	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1076	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1077	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1078	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1079	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1080	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1081	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1082	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1083	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1084	C₄⋊Q₈	—	2	1	no	—
1085	C₄⋊Q₈	—	2	1	no	—
1086	C₄⋊Q₈	—	2	1	no	—
1087	C₄⋊Q₈	—	2	1	no	—
1088	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1089	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1090	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1091	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1092	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1093	#127	C₂³×C₃₁	1	1	yes	characteristic
1094	#126	—	2	1	no	—
1095	#126	—	2	1	no	—
1096	#126	—	2	1	no	—
1097	#126	—	2	1	no	—
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	2	1	no	—
1103	#126	—	2	1	no	—
1104	#126	—	2	1	no	—
1105	#126	—	2	1	no	—
1106	#126	D₄×C₃₁	1	1	yes	characteristic
1107	#126	D₄×C₃₁	1	1	yes	characteristic
1108	#125	—	2	1	no	—
1109	#125	—	2	1	no	—
1110	#125	—	2	1	no	—
1111	#125	—	2	1	no	—
1112	#125	—	2	1	no	—
1113	#125	—	2	1	no	—
1114	#125	—	2	1	no	—
1115	#125	—	2	1	no	—
1116	#125	—	2	1	no	—
1117	#125	—	2	1	no	—
1118	#125	—	2	1	no	—
1119	#125	—	2	1	no	—
1120	#125	—	2	1	no	—
1121	#125	D₄×C₃₁	1	1	yes	characteristic
1122	#125	C₂³×C₃₁	1	1	yes	characteristic
1123	#125	C₂³×C₃₁	1	1	yes	characteristic
1124	#125	C₂³×C₃₁	1	1	yes	characteristic
1125	#125	C₂³×C₃₁	1	1	yes	characteristic
1126	#124	—	2	1	no	—
1127	#124	—	2	1	no	—
1128	#124	—	2	1	no	—
1129	#124	D₄×C₃₁	1	1	yes	characteristic
1130	#124	C₂³×C₃₁	1	1	yes	characteristic
1131	#124	C₂³×C₃₁	1	1	yes	characteristic
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	#123	—	2	1	no	—
1144	#123	—	2	1	no	—
1145	#123	—	2	1	no	—
1146	#123	D₄×C₃₁	1	1	yes	characteristic
1147	#123	D₄×C₃₁	1	1	yes	characteristic
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	—	2	1	no	—
1155	C₂²⋊Q₈	—	2	1	no	—
1156	C₂²⋊Q₈	—	2	1	no	—
1157	C₂²⋊Q₈	—	2	1	no	—
1158	C₂²⋊Q₈	—	2	1	no	—
1159	C₂²⋊Q₈	—	2	1	no	—
1160	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1161	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1162	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1163	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1164	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1165	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1166	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1167	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1168	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	D₄×C₃₁	1	1	yes	characteristic
1176	#121	C₂³×C₃₁	1	1	yes	characteristic
1177	#121	C₂³×C₃₁	1	1	yes	characteristic
1178	#121	C₂³×C₃₁	1	1	yes	characteristic
1179	#121	C₂³×C₃₁	1	1	yes	characteristic
1180	#120	—	2	1	no	—
1181	#120	—	2	1	no	—
1182	#120	—	2	1	no	—
1183	#120	—	2	1	no	—
1184	C₄×Q₈	—	2	1	no	—
1185	C₄×Q₈	—	2	1	no	—
1186	C₄×Q₈	—	2	1	no	—
1187	C₄×Q₈	—	2	1	no	—
1188	C₄×Q₈	—	2	1	no	—
1189	C₄×Q₈	—	2	1	no	—
1190	C₄×Q₈	—	2	1	no	—
1191	C₄×Q₈	—	2	1	no	—
1192	C₄×Q₈	—	2	1	no	—
1193	C₄×Q₈	—	2	1	no	—
1194	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1195	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1196	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1197	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1198	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1199	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1200	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1201	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1202	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1203	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1204	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1205	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1206	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	—	2	1	no	—
1219	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1220	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1221	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1222	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1223	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1224	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1225	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1226	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1227	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1228	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1229	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1230	#117	—	2	1	no	—
1231	#117	—	2	1	no	—
1232	#117	—	2	1	no	—
1233	#117	—	2	1	no	—
1234	#117	—	2	1	no	—
1235	#117	—	2	1	no	—
1236	#117	—	2	1	no	—
1237	#117	—	2	1	no	—
1238	#117	—	2	1	no	—
1239	#117	—	2	1	no	—
1240	#117	C₂³×C₃₁	1	1	yes	characteristic
1241	#117	C₂³×C₃₁	1	1	yes	characteristic
1242	#117	C₂³×C₃₁	1	1	yes	characteristic
1243	#117	C₂³×C₃₁	1	1	yes	characteristic
1244	#117	C₂³×C₃₁	1	1	yes	characteristic
1245	C₂×C₄⋊C₄	—	2	1	no	—
1246	C₂×C₄⋊C₄	—	2	1	no	—
1247	C₂×C₄⋊C₄	—	2	1	no	—
1248	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1249	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1250	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1251	C₂×C₂²⋊C₄	—	2	1	no	—
1252	C₂×C₂²⋊C₄	—	2	1	no	—
1253	C₂×C₂²⋊C₄	—	2	1	no	—
1254	C₂×C₂²⋊C₄	—	2	1	no	—
1255	C₂×C₂²⋊C₄	—	2	1	no	—
1256	C₂×C₄²	—	2	1	no	—
1257	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1258	#107	C₂³×C₃₁	1	1	yes	characteristic
1259	#107	C₂³×C₃₁	1	1	yes	characteristic
1260	#107	C₂³×C₃₁	1	1	yes	characteristic
1261	#107	C₂³×C₃₁	1	1	yes	characteristic
1262	#107	C₂³×C₃₁	1	1	yes	characteristic
1263	#107	C₂³×C₃₁	1	1	yes	characteristic
1264	#107	C₂³×C₃₁	1	1	yes	characteristic
1265	#107	C₂³×C₃₁	1	1	yes	characteristic
1266	#106	C₂³×C₃₁	1	1	yes	characteristic
1267	#106	C₂³×C₃₁	1	1	yes	characteristic
1268	#106	C₂³×C₃₁	1	1	yes	characteristic
1269	#106	C₂³×C₃₁	1	1	yes	characteristic
1270	#106	C₂³×C₃₁	1	1	yes	characteristic
1271	#106	C₂³×C₃₁	1	1	yes	characteristic
1272	#106	C₂³×C₃₁	1	1	yes	characteristic
1273	#106	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	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1280	#103	C₂³×C₃₁	1	1	yes	characteristic
1281	#103	C₂³×C₃₁	1	1	yes	characteristic
1282	#103	C₂³×C₃₁	1	1	yes	characteristic
1283	#103	C₂³×C₃₁	1	1	yes	characteristic
1284	#103	C₂³×C₃₁	1	1	yes	characteristic
1285	#103	C₂³×C₃₁	1	1	yes	characteristic
1286	#103	C₂³×C₃₁	1	1	yes	characteristic
1287	#103	C₂³×C₃₁	1	1	yes	characteristic
1288	#103	C₂³×C₃₁	1	1	yes	characteristic
1289	#103	C₂³×C₃₁	1	1	yes	characteristic
1290	#103	C₂³×C₃₁	1	1	yes	characteristic
1291	#103	C₂³×C₃₁	1	1	yes	characteristic
1292	#103	C₂³×C₃₁	1	1	yes	characteristic
1293	#103	C₂³×C₃₁	1	1	yes	characteristic
1294	#103	C₂³×C₃₁	1	1	yes	characteristic
1295	#103	C₂³×C₃₁	1	1	yes	characteristic
1296	#103	C₂³×C₃₁	1	1	yes	characteristic
1297	#103	C₂³×C₃₁	1	1	yes	characteristic
1298	#103	C₂³×C₃₁	1	1	yes	characteristic
1299	#103	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	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1313	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1314	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1315	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1316	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1317	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1318	#97	C₂³×C₃₁	1	1	yes	characteristic
1319	#97	C₂³×C₃₁	1	1	yes	characteristic
1320	#97	C₂³×C₃₁	1	1	yes	characteristic
1321	#97	C₂³×C₃₁	1	1	yes	characteristic
1322	#97	C₂³×C₃₁	1	1	yes	characteristic
1323	#97	C₂³×C₃₁	1	1	yes	characteristic
1324	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1325	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1326	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1327	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1328	C₃₁	#61520	1	1	yes	characteristic, direct product factor, Sylow
1329	C₂⁴	—	2	1	no	—
1330	C₂⁴	—	2	1	no	—
1331	#41	—	2	2	no	—
1332	#41	—	4	1	no	—
1333	#41	—	8	2	no	—
1334	C₂×Q₈	—	2	1	no	—
1335	C₂×Q₈	—	2	1	no	—
1336	C₂×Q₈	—	2	1	no	—
1337	C₂×Q₈	—	2	1	no	—
1338	C₂×Q₈	—	2	1	no	—
1339	C₂×Q₈	—	2	2	no	—
1340	C₂×Q₈	—	2	2	no	—
1341	C₂×Q₈	—	2	2	no	—
1342	C₂×Q₈	—	4	1	no	—
1343	C₂×Q₈	—	4	1	no	—
1344	C₂×Q₈	—	4	1	no	—
1345	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1346	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1347	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1348	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1349	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1350	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1351	C₂×D₄	—	2	2	no	—
1352	C₂×D₄	—	2	2	no	—
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	4	1	no	—
1363	C₂×D₄	—	4	1	no	—
1364	C₂×D₄	—	8	2	no	—
1365	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1366	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1367	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1368	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1369	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1370	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	8	2	no	—
1387	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1388	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1389	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1390	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1391	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1392	Q₁₆	—	2	2	no	—
1393	Q₁₆	—	2	2	no	—
1394	Q₁₆	—	4	1	no	—
1395	Q₁₆	—	4	1	no	—
1396	SD₁₆	—	2	2	no	—
1397	SD₁₆	—	2	2	no	—
1398	SD₁₆	—	2	2	no	—
1399	SD₁₆	—	2	2	no	—
1400	SD₁₆	—	2	2	no	—
1401	SD₁₆	—	2	2	no	—
1402	SD₁₆	—	2	2	no	—
1403	SD₁₆	—	4	1	no	—
1404	SD₁₆	—	4	1	no	—
1405	SD₁₆	—	4	1	no	—
1406	SD₁₆	—	4	1	no	—
1407	SD₁₆	#41×C₃₁	1	4	yes	complemented
1408	M₁₆	—	2	2	no	—
1409	M₁₆	—	4	1	no	—
1410	C₂×C₈	—	2	2	no	—
1411	C₂×C₈	—	2	2	no	—
1412	C₂×C₈	—	4	1	no	—
1413	C₂×C₈	—	4	1	no	—
1414	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1415	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1416	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1417	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1418	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1419	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1420	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1421	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×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	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
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	C₂×D₄×C₃₁	1	1	yes	characteristic
1507	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1509	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1510	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1511	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1512	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1513	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1514	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1515	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	—	2	1	no	—
1521	C₄²	—	2	1	no	—
1522	C₄²	—	2	1	no	—
1523	C₄²	—	2	1	no	—
1524	C₄²	—	2	1	no	—
1525	C₄²	—	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	C₂×D₄×C₃₁	1	1	yes	characteristic
1532	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1533	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1534	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1535	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1536	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1537	C₂³	—	2	1	no	—
1538	C₂³	—	2	1	no	—
1539	C₂³	—	2	1	no	—
1540	C₂³	—	4	2	no	—
1541	C₂³	—	4	2	no	—
1542	C₂³	—	4	2	no	—
1543	C₂³	—	8	1	no	—
1544	C₂³	—	8	1	no	—
1545	C₂³	—	8	1	no	—
1546	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1547	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1548	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	2	1	no	—
1552	Q₈	—	2	1	no	—
1553	Q₈	—	2	1	no	—
1554	Q₈	—	2	1	no	—
1555	Q₈	—	2	1	no	—
1556	Q₈	—	2	1	no	—
1557	Q₈	—	2	1	no	—
1558	Q₈	—	4	1	no	—
1559	Q₈	—	4	2	no	—
1560	Q₈	—	4	2	no	—
1561	Q₈	—	4	2	no	—
1562	Q₈	—	4	2	no	—
1563	Q₈	—	8	1	no	—
1564	Q₈	C₂×#41×C₃₁	1	2	yes	—
1565	D₄	—	2	2	no	—
1566	D₄	—	2	2	no	—
1567	D₄	—	2	1	no	—
1568	D₄	—	2	1	no	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	4	1	no	—
1573	D₄	—	4	2	no	—
1574	D₄	—	4	2	no	—
1575	D₄	—	4	2	no	—
1576	D₄	—	4	2	no	—
1577	D₄	—	8	1	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	8	1	no	—
1580	D₄	—	8	1	no	—
1581	D₄	—	8	1	no	—
1582	D₄	C₂×#41×C₃₁	1	2	yes	—
1583	C₂×C₄	—	2	2	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	4	1	no	—
1604	C₂×C₄	—	4	2	no	—
1605	C₂×C₄	—	4	2	no	—
1606	C₂×C₄	—	4	2	no	—
1607	C₂×C₄	—	4	2	no	—
1608	C₂×C₄	—	4	2	no	—
1609	C₂×C₄	—	4	2	no	—
1610	C₂×C₄	—	8	1	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	—	8	1	no	—
1613	C₂×C₄	—	8	1	no	—
1614	C₂×C₄	—	8	1	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	—	8	1	no	—
1618	C₂×C₄	—	8	1	no	—
1619	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1620	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1621	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1622	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1623	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1624	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1625	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1626	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1627	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1628	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1629	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1630	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1631	C₈	—	2	1	no	—
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	2	1	no	—
1635	C₈	—	2	1	no	—
1636	C₈	—	2	1	no	—
1637	C₈	—	2	1	no	—
1638	C₈	C₂×#41×C₃₁	1	2	yes	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	2	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	2	1	no	—
1647	C₂²	—	2	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	8	4	no	—
1657	C₂²	—	16	2	no	—
1658	C₂²	C₃₁×#577	1	2	yes	—
1659	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	2	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	4	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	C₂²×#41×C₃₁	1	1	yes	characteristic
1685	C₄	C₃₁×#585	1	1	yes	characteristic
1686	C₂	—	2	2	no	—
1687	C₂	—	4	1	no	—
1688	C₂	—	4	1	no	—
1689	C₂	—	4	2	no	—
1690	C₂	—	8	1	no	—
1691	C₂	—	8	1	no	—
1692	C₂	D₄×#41×C₃₁	1	1	yes	characteristic
1693	C₂	C₂×C₃₁×#577	1	1	yes	characteristic
1694	C₂	C₃₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃₁
prime radical	C₃₁×#3513	C₂
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×#3523	C₂	semidirect
3. C₃₁×#3400	C₂	semidirect
4. C₃₁×#3388	C₂	semidirect
5. C₃₁×#3372	C₂	semidirect
6. C₃₁×#3371	C₂	semidirect
7. C₃₁×#3350	C₂	semidirect
8. C₃₁×#3343	C₂	semidirect
9. C₃₁×#3336	C₂	semidirect
10. C₃₁×#3320	C₂	semidirect
11. C₃₁×#3312	C₂	semidirect
12. C₃₁×#3311	C₂	semidirect
13. C₃₁×#3310	C₂	semidirect
14. C₃₁×#3298	C₂	semidirect
15. C₃₁×#3296	C₂	semidirect
16. D₄×SD₁₆×C₃₁	C₂	semidirect
17. C₃₁×#3266	C₂	semidirect
18. C₃₁×#3266	C₂	semidirect
19. C₃₁×#3181	C₂	semidirect
20. C₃₁×#3178	C₂	semidirect
21. C₃₁×#3174	C₂	semidirect
22. C₃₁×#3126	C₂	semidirect
23. C₃₁×#3123	C₂	semidirect
24. C₃₁×#3121	C₂	semidirect
25. C₃₁×#3120	C₂	semidirect
26. C₃₁×#3108	C₂	semidirect
27. C₃₁×#3101	C₂	semidirect
28. C₃₁×#2968	C₂	semidirect
29. C₃₁×#2949	C₂	semidirect
30. C₃₁×#2947	C₂	semidirect
31. C₂×C₃₁×#440	C₂	semidirect
37. C₃₁×#557	C₂²	semidirect
38. C₃₁×#557	C₂²	semidirect
40. C₃₁×#556	C₂²	semidirect
48. C₃₁×#552	C₂²	semidirect
52. D₄×Q₈×C₃₁	C₂²	semidirect
53. D₄×Q₈×C₃₁	C₂²	semidirect
62. C₃₁×#541	C₂²	semidirect
63. C₃₁×#541	C₂²	semidirect
68. C₃₁×#533	C₂²	semidirect
75. C₃₁×#519	C₂²	semidirect
76. C₃₁×#519	C₂²	semidirect
78. C₂×C₄×Q₈×C₃₁	C₂²	semidirect
80. C₃₁×#501	C₂²	semidirect
81. C₃₁×#501	C₂²	semidirect
82. C₃₁×#499	C₂²	semidirect
83. C₃₁×#497	C₂²	semidirect
84. C₃₁×#497	C₂²	semidirect
86. C₃₁×#491	C₂²	semidirect
87. C₃₁×#491	C₂²	semidirect
89. C₃₁×#489	C₂²	semidirect
90. C₃₁×#488	C₂²	semidirect
91. C₃₁×#487	C₂²	semidirect
92. C₃₁×#485	C₂²	semidirect
93. C₃₁×#485	C₂²	semidirect
94. C₃₁×#485	C₂²	semidirect
95. C₃₁×#484	C₂²	semidirect
96. C₃₁×#483	C₂²	semidirect
97. C₃₁×#483	C₂²	semidirect
98. C₃₁×#483	C₂²	semidirect
99. C₃₁×#483	C₂²	semidirect
101. C₃₁×#482	C₂²	semidirect
102. C₃₁×#482	C₂²	semidirect
104. C₃₁×#479	C₂²	semidirect
105. C₃₁×#479	C₂²	semidirect
106. C₃₁×#479	C₂²	semidirect
107. C₃₁×#479	C₂²	semidirect
108. C₃₁×#479	C₂²	semidirect
111. C₃₁×#478	C₂²	semidirect
112. C₃₁×#477	C₂²	semidirect
114. C₃₁×#476	C₂²	semidirect
115. C₃₁×#475	C₂²	semidirect
116. C₃₁×#470	C₂²	semidirect
118. C₃₁×#468	C₂²	semidirect
119. C₃₁×#468	C₂²	semidirect
120. C₃₁×#467	C₂²	semidirect
121. C₃₁×#467	C₂²	semidirect
122. C₃₁×#467	C₂²	semidirect
126. C₃₁×#465	C₂²	semidirect
127. C₃₁×#465	C₂²	semidirect
128. C₃₁×#464	C₂²	semidirect
129. C₃₁×#464	C₂²	semidirect
130. C₃₁×#464	C₂²	semidirect
131. C₃₁×#464	C₂²	semidirect
132. C₃₁×#462	C₂²	semidirect
136. C₃₁×#461	C₂²	semidirect
137. C₃₁×#461	C₂²	semidirect
142. C₃₁×#451	C₂²	semidirect
143. C₃₁×#451	C₂²	semidirect
150. C₃₁×#448	C₂²	semidirect
151. C₃₁×#448	C₂²	semidirect
152. C₃₁×#446	C₂²	semidirect
153. C₃₁×#446	C₂²	semidirect
154. C₃₁×#441	C₂²	semidirect
155. C₃₁×#441	C₂²	semidirect
156. C₃₁×#441	C₂²	semidirect
163. C₃₁×#440	C₂²	semidirect
164. C₃₁×#440	C₂²	semidirect
165. C₃₁×#440	C₂²	semidirect
166. C₃₁×#440	C₂²	semidirect
167. C₃₁×#440	C₂²	semidirect
168. C₃₁×#440	C₂²	semidirect
169. C₃₁×#440	C₂²	semidirect
170. C₄×Q₁₆×C₃₁	C₂²	semidirect
171. C₄×Q₁₆×C₃₁	C₂²	semidirect
172. C₄×Q₁₆×C₃₁	C₂²	semidirect
177. C₄×SD₁₆×C₃₁	C₂²	semidirect
178. C₄×SD₁₆×C₃₁	C₂²	semidirect
179. C₄×SD₁₆×C₃₁	C₂²	semidirect
180. C₄×SD₁₆×C₃₁	C₂²	semidirect
181. C₄×SD₁₆×C₃₁	C₂²	semidirect
183. C₃₁×#435	C₂²	semidirect
184. C₃₁×#435	C₂²	semidirect
185. C₃₁×#435	C₂²	semidirect
187. C₈×D₄×C₃₁	C₂²	semidirect
188. C₃₁×#433	C₂²	semidirect
189. C₃₁×#433	C₂²	semidirect
190. C₃₁×#431	C₂²	semidirect
191. C₃₁×#428	C₂²	semidirect
192. C₃₁×#427	C₂²	semidirect
193. C₂×C₃₁×#107	C₂²	semidirect
194. C₃₁×#419	C₂²	semidirect
197. C₂×C₃₁×#103	C₂²	semidirect
198. C₂×C₃₁×#103	C₂²	semidirect
200. C₃₁×#405	C₂²	semidirect
201. C₃₁×#405	C₂²	semidirect
202. C₂×C₃₁×#97	C₂²	semidirect
559. SD₁₆×C₃₁	#41	semidirect
689. #61520	C₃₁	direct (N × H)
792. #3523	C₂×C₃₁	semidirect
794. #3400	C₂×C₃₁	semidirect
795. #3388	C₂×C₃₁	semidirect
796. #3372	C₂×C₃₁	semidirect
797. #3371	C₂×C₃₁	semidirect
798. #3350	C₂×C₃₁	semidirect
799. #3343	C₂×C₃₁	semidirect
800. #3336	C₂×C₃₁	semidirect
801. #3320	C₂×C₃₁	semidirect
802. #3312	C₂×C₃₁	semidirect
803. #3311	C₂×C₃₁	semidirect
804. #3310	C₂×C₃₁	semidirect
805. #3298	C₂×C₃₁	semidirect
806. #3296	C₂×C₃₁	semidirect
807. D₄×SD₁₆	C₂×C₃₁	semidirect
808. #3266	C₂×C₃₁	semidirect
809. #3266	C₂×C₃₁	semidirect
810. #3181	C₂×C₃₁	semidirect
811. #3178	C₂×C₃₁	semidirect
812. #3174	C₂×C₃₁	semidirect
813. #3126	C₂×C₃₁	semidirect
814. #3123	C₂×C₃₁	semidirect
815. #3121	C₂×C₃₁	semidirect
816. #3120	C₂×C₃₁	semidirect
817. #3108	C₂×C₃₁	semidirect
818. #3101	C₂×C₃₁	semidirect
819. #2968	C₂×C₃₁	semidirect
820. #2949	C₂×C₃₁	semidirect
821. #2947	C₂×C₃₁	semidirect
822. C₂×#440	C₂×C₃₁	semidirect
875. #557	C₂²×C₃₁	semidirect
876. #557	C₂²×C₃₁	semidirect
878. #556	C₂²×C₃₁	semidirect
886. #552	C₂²×C₃₁	semidirect
890. D₄×Q₈	C₂²×C₃₁	semidirect
891. D₄×Q₈	C₂²×C₃₁	semidirect
900. #541	C₂²×C₃₁	semidirect
901. #541	C₂²×C₃₁	semidirect
906. #533	C₂²×C₃₁	semidirect
913. #519	C₂²×C₃₁	semidirect
914. #519	C₂²×C₃₁	semidirect
916. C₂×C₄×Q₈	C₂²×C₃₁	semidirect
918. #501	C₂²×C₃₁	semidirect
919. #501	C₂²×C₃₁	semidirect
920. #499	C₂²×C₃₁	semidirect
921. #497	C₂²×C₃₁	semidirect
922. #497	C₂²×C₃₁	semidirect
924. #491	C₂²×C₃₁	semidirect
925. #491	C₂²×C₃₁	semidirect
927. #489	C₂²×C₃₁	semidirect
928. #488	C₂²×C₃₁	semidirect
929. #487	C₂²×C₃₁	semidirect
930. #485	C₂²×C₃₁	semidirect
931. #485	C₂²×C₃₁	semidirect
932. #485	C₂²×C₃₁	semidirect
933. #484	C₂²×C₃₁	semidirect
934. #483	C₂²×C₃₁	semidirect
935. #483	C₂²×C₃₁	semidirect
936. #483	C₂²×C₃₁	semidirect
937. #483	C₂²×C₃₁	semidirect
939. #482	C₂²×C₃₁	semidirect
940. #482	C₂²×C₃₁	semidirect
942. #479	C₂²×C₃₁	semidirect
943. #479	C₂²×C₃₁	semidirect
944. #479	C₂²×C₃₁	semidirect
945. #479	C₂²×C₃₁	semidirect
946. #479	C₂²×C₃₁	semidirect
949. #478	C₂²×C₃₁	semidirect
950. #477	C₂²×C₃₁	semidirect
952. #476	C₂²×C₃₁	semidirect
953. #475	C₂²×C₃₁	semidirect
954. #470	C₂²×C₃₁	semidirect
956. #468	C₂²×C₃₁	semidirect
957. #468	C₂²×C₃₁	semidirect
958. #467	C₂²×C₃₁	semidirect
959. #467	C₂²×C₃₁	semidirect
960. #467	C₂²×C₃₁	semidirect
964. #465	C₂²×C₃₁	semidirect
965. #465	C₂²×C₃₁	semidirect
966. #464	C₂²×C₃₁	semidirect
967. #464	C₂²×C₃₁	semidirect
968. #464	C₂²×C₃₁	semidirect
969. #464	C₂²×C₃₁	semidirect
970. #462	C₂²×C₃₁	semidirect
974. #461	C₂²×C₃₁	semidirect
975. #461	C₂²×C₃₁	semidirect
980. #451	C₂²×C₃₁	semidirect
981. #451	C₂²×C₃₁	semidirect
988. #448	C₂²×C₃₁	semidirect
989. #448	C₂²×C₃₁	semidirect
990. #446	C₂²×C₃₁	semidirect
991. #446	C₂²×C₃₁	semidirect
992. #441	C₂²×C₃₁	semidirect
993. #441	C₂²×C₃₁	semidirect
994. #441	C₂²×C₃₁	semidirect
1001. #440	C₂²×C₃₁	semidirect
1002. #440	C₂²×C₃₁	semidirect
1003. #440	C₂²×C₃₁	semidirect
1004. #440	C₂²×C₃₁	semidirect
1005. #440	C₂²×C₃₁	semidirect
1006. #440	C₂²×C₃₁	semidirect
1007. #440	C₂²×C₃₁	semidirect
1008. C₄×Q₁₆	C₂²×C₃₁	semidirect
1009. C₄×Q₁₆	C₂²×C₃₁	semidirect
1010. C₄×Q₁₆	C₂²×C₃₁	semidirect
1015. C₄×SD₁₆	C₂²×C₃₁	semidirect
1016. C₄×SD₁₆	C₂²×C₃₁	semidirect
1017. C₄×SD₁₆	C₂²×C₃₁	semidirect
1018. C₄×SD₁₆	C₂²×C₃₁	semidirect
1019. C₄×SD₁₆	C₂²×C₃₁	semidirect
1021. #435	C₂²×C₃₁	semidirect
1022. #435	C₂²×C₃₁	semidirect
1023. #435	C₂²×C₃₁	semidirect
1025. C₈×D₄	C₂²×C₃₁	semidirect
1026. #433	C₂²×C₃₁	semidirect
1027. #433	C₂²×C₃₁	semidirect
1028. #431	C₂²×C₃₁	semidirect
1029. #428	C₂²×C₃₁	semidirect
1030. #427	C₂²×C₃₁	semidirect
1031. C₂×#107	C₂²×C₃₁	semidirect
1032. #419	C₂²×C₃₁	semidirect
1035. C₂×#103	C₂²×C₃₁	semidirect
1036. C₂×#103	C₂²×C₃₁	semidirect
1038. #405	C₂²×C₃₁	semidirect
1039. #405	C₂²×C₃₁	semidirect
1040. C₂×#97	C₂²×C₃₁	semidirect
1328. C₃₁	#61520	direct (N × H)
1407. SD₁₆	#41×C₃₁	semidirect

Maximal subgroups

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

subgroup	index
C₃₁×#3523	2
C₃₁×#3513	2
C₃₁×#3400	2
C₃₁×#3388	2
C₃₁×#3372	2
C₃₁×#3371	2
C₃₁×#3350	2
C₃₁×#3343	2
C₃₁×#3336	2
C₃₁×#3320	2
C₃₁×#3312	2
C₃₁×#3311	2
C₃₁×#3310	2
C₃₁×#3298	2
C₃₁×#3296	2
D₄×SD₁₆×C₃₁	2
C₃₁×#3266	2
C₃₁×#3181	2
C₃₁×#3178	2
C₃₁×#3174	2
C₃₁×#3126	2
C₃₁×#3123	2
C₃₁×#3121	2
C₃₁×#3120	2
C₃₁×#3108	2
C₃₁×#3101	2
C₃₁×#2968	2
C₃₁×#2949	2
C₃₁×#2947	2
C₂×C₃₁×#440	2
#61520	31

Subgroups — C31×#61520 #21518279

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61520 #21518279