Subgroups — C₃₁×#62008 #21518767

Order 7936.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3552	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3513	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3401	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3400	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3372	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3320	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3312	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3308	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3307	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3300	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3298	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3282	C₂	1	1	yes	maximal, characteristic, complemented
14	D₄×SD₁₆×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3267	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3266	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3260	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3250	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3225	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3221	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3218	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3123	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3114	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#3046	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#3042	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₃₁×#461	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃₁×#2992	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic
33	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic
35	C₂²×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
36	C₂²×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
37	C₂²×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
38	C₃₁×#563	—	2	1	no	—
39	C₃₁×#563	—	2	1	no	—
40	C₃₁×#559	C₂²	1	1	yes	characteristic
41	C₃₁×#557	C₂²	1	1	yes	characteristic, complemented
42	C₃₁×#556	C₂²	1	1	yes	characteristic, complemented
43	C₃₁×#554	—	2	1	no	—
44	C₃₁×#554	C₂²	1	1	yes	characteristic
45	C₃₁×#553	—	2	1	no	—
46	C₃₁×#553	—	2	1	no	—
47	C₃₁×#553	C₂²	1	1	yes	characteristic
48	C₃₁×#552	C₂²	1	1	yes	characteristic
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×#548	C₂²	1	1	yes	characteristic
55	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
56	C₃₁×#547	C₂²	1	1	yes	characteristic
57	C₃₁×#547	C₂²	1	1	yes	characteristic, complemented
58	C₃₁×#546	—	2	1	no	—
59	C₃₁×#546	C₂²	1	1	yes	characteristic
60	C₃₁×#546	C₂²	1	1	yes	characteristic
61	D₄²×C₃₁	C₂²	1	1	yes	characteristic
62	C₃₁×#544	—	2	1	no	—
63	C₃₁×#542	—	2	1	no	—
64	C₃₁×#542	C₂²	1	1	yes	characteristic
65	C₃₁×#541	C₂²	1	1	yes	characteristic, complemented
66	C₃₁×#541	C₂²	1	1	yes	characteristic, complemented
67	C₃₁×#540	C₂²	1	1	yes	characteristic
68	C₃₁×#539	—	2	1	no	—
69	C₃₁×#539	—	2	1	no	—
70	C₃₁×#539	—	2	1	no	—
71	C₃₁×#538	—	2	1	no	—
72	C₃₁×#536	C₂²	1	1	yes	characteristic, complemented
73	C₃₁×#536	C₂²	1	1	yes	characteristic, complemented
74	C₂×C₃₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
75	C₃₁×#529	C₂²	1	1	yes	characteristic
76	C₃₁×#529	C₂²	1	1	yes	characteristic
77	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
78	C₃₁×#525	—	2	1	no	—
79	C₂×C₃₁×#123	—	2	1	no	—
80	C₃₁×#520	C₂²	1	1	yes	characteristic
81	C₃₁×#518	C₂²	1	1	yes	characteristic
82	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
83	C₃₁×#497	C₂²	1	1	yes	characteristic, complemented
84	C₃₁×#497	C₂²	1	1	yes	characteristic, complemented
85	C₃₁×#497	C₂²	1	1	yes	characteristic, complemented
86	C₃₁×#496	C₂²	1	1	yes	characteristic
87	C₃₁×#495	C₂²	1	1	yes	characteristic, complemented
88	C₃₁×#492	C₂²	1	1	yes	characteristic
89	C₃₁×#491	C₂²	1	1	yes	characteristic, complemented
90	C₃₁×#491	C₂²	1	1	yes	characteristic, complemented
91	C₃₁×#491	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×#487	C₂²	1	1	yes	characteristic, complemented
95	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
96	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
97	C₃₁×#484	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×#480	C₂²	1	1	yes	characteristic, complemented
101	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
102	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
103	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
104	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
105	C₃₁×#478	C₂²	1	1	yes	characteristic
106	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
108	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#477	C₂²	1	1	yes	characteristic, complemented
110	C₃₁×#475	C₂²	1	1	yes	characteristic, complemented
111	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#468	C₂²	1	1	yes	characteristic
113	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
114	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
115	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
116	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
117	C₃₁×#466	C₂²	1	1	yes	characteristic
118	C₃₁×#465	C₂²	1	1	yes	characteristic
119	C₃₁×#465	C₂²	1	1	yes	characteristic
120	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
121	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
122	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
123	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
124	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
125	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
126	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
127	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
128	C₃₁×#463	C₂²	1	1	yes	characteristic
129	C₃₁×#463	C₂²	1	1	yes	characteristic
130	C₃₁×#463	C₂²	1	1	yes	characteristic
131	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
132	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
133	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
134	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
135	C₃₁×#462	C₂²	1	1	yes	characteristic, complemented
136	C₃₁×#462	C₂²	1	1	yes	characteristic, complemented
137	C₃₁×#462	C₂²	1	1	yes	characteristic, complemented
138	C₃₁×#461	C₂²	1	1	yes	characteristic
139	C₃₁×#461	C₂²	1	1	yes	characteristic
140	C₃₁×#461	C₂²	1	1	yes	characteristic
141	C₃₁×#461	C₂²	1	1	yes	characteristic
142	C₃₁×#461	C₂²	1	1	yes	characteristic
143	C₃₁×#461	C₂²	1	1	yes	characteristic
144	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
145	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
146	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
147	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
148	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
149	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
150	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
151	C₃₁×#460	C₂²	1	1	yes	characteristic
152	C₃₁×#460	C₂²	1	1	yes	characteristic
153	C₃₁×#452	C₂²	1	1	yes	characteristic
154	C₃₁×#452	C₂²	1	1	yes	characteristic
155	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
156	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
157	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
158	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
159	C₃₁×#450	C₂²	1	1	yes	characteristic
160	C₃₁×#450	C₂²	1	1	yes	characteristic
161	C₃₁×#450	C₂²	1	1	yes	characteristic
162	C₃₁×#449	C₂²	1	1	yes	characteristic
163	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
164	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
165	C₃₁×#448	C₂²	1	1	yes	characteristic
166	C₃₁×#448	C₂²	1	1	yes	characteristic
167	C₃₁×#448	C₂²	1	1	yes	characteristic
168	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
169	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
170	C₃₁×#447	C₂²	1	1	yes	characteristic
171	C₃₁×#446	C₂²	1	1	yes	characteristic, complemented
172	C₃₁×#446	C₂²	1	1	yes	characteristic, complemented
173	C₃₁×#442	C₂²	1	1	yes	characteristic
174	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
175	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
176	C₃₁×#440	C₂²	1	1	yes	characteristic
177	C₃₁×#440	C₂²	1	1	yes	characteristic
178	C₃₁×#440	C₂²	1	1	yes	characteristic
179	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
180	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
182	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
183	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
184	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
185	C₃₁×#435	C₂²	1	1	yes	characteristic
186	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
187	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
188	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
189	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic
190	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
191	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
192	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
193	C₃₁×#432	C₂²	1	1	yes	characteristic, complemented
194	C₃₁×#424	C₂²	1	1	yes	characteristic, complemented
195	C₃₁×#424	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₃₁×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	C₃₁×#419	C₂²	1	1	yes	characteristic, complemented
198	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
199	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₃₁×#103	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₃₁×#103	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₃₁×#103	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	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
210	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₃₁	—	2	1	no	—
212	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₃₁	—	2	1	no	—
215	C₃₁×#137	—	4	2	no	—
216	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
217	C₃₁×#135	—	4	2	no	—
218	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
219	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
220	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
221	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
222	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₃₁	—	4	2	no	—
224	C₂×SD₁₆×C₃₁	—	4	2	no	—
225	C₂×SD₁₆×C₃₁	—	4	2	no	—
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×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
232	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
233	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
234	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
235	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
236	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
237	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
238	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
239	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
240	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
241	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
242	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
243	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
244	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
245	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
246	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
247	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
248	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
249	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
250	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
251	C₃₁×C₄⋊Q₈	—	2	1	no	—
252	C₃₁×C₄⋊Q₈	—	2	1	no	—
253	C₃₁×C₄⋊Q₈	—	2	1	no	—
254	C₃₁×C₄⋊Q₈	—	2	1	no	—
255	C₃₁×C₄⋊Q₈	—	2	1	no	—
256	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
257	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
258	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
259	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
260	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
261	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
262	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
263	C₃₁×#127	C₂³	1	1	yes	characteristic
264	C₃₁×#126	—	2	1	no	—
265	C₃₁×#126	—	2	1	no	—
266	C₃₁×#126	—	2	1	no	—
267	C₃₁×#126	—	2	1	no	—
268	C₃₁×#126	—	2	1	no	—
269	C₃₁×#126	—	2	1	no	—
270	C₃₁×#126	—	2	1	no	—
271	C₃₁×#126	—	2	1	no	—
272	C₃₁×#126	—	2	1	no	—
273	C₃₁×#126	—	2	1	no	—
274	C₃₁×#126	—	2	1	no	—
275	C₃₁×#126	D₄	1	1	yes	characteristic
276	C₃₁×#126	D₄	1	1	yes	characteristic
277	C₃₁×#125	—	2	1	no	—
278	C₃₁×#125	—	2	1	no	—
279	C₃₁×#125	—	2	1	no	—
280	C₃₁×#125	—	2	1	no	—
281	C₃₁×#125	—	2	1	no	—
282	C₃₁×#125	—	2	1	no	—
283	C₃₁×#125	—	2	1	no	—
284	C₃₁×#125	—	2	1	no	—
285	C₃₁×#125	D₄	1	1	yes	characteristic
286	C₃₁×#125	C₂³	1	1	yes	characteristic
287	C₃₁×#125	C₂³	1	1	yes	characteristic
288	C₃₁×#125	C₂³	1	1	yes	characteristic
289	C₃₁×#124	—	2	1	no	—
290	C₃₁×#124	—	2	1	no	—
291	C₃₁×#124	—	2	1	no	—
292	C₃₁×#124	—	2	1	no	—
293	C₃₁×#124	D₄	1	1	yes	characteristic
294	C₃₁×#124	C₂³	1	1	yes	characteristic
295	C₃₁×#124	C₂³	1	1	yes	characteristic
296	C₃₁×#124	C₂³	1	1	yes	characteristic
297	C₃₁×#124	C₂³	1	1	yes	characteristic
298	C₃₁×#124	C₂³	1	1	yes	characteristic
299	C₃₁×#123	—	2	1	no	—
300	C₃₁×#123	—	2	1	no	—
301	C₃₁×#123	—	2	1	no	—
302	C₃₁×#123	—	2	1	no	—
303	C₃₁×#123	—	2	1	no	—
304	C₃₁×#123	—	2	1	no	—
305	C₃₁×#123	—	2	1	no	—
306	C₃₁×#123	—	2	1	no	—
307	C₃₁×#123	—	2	1	no	—
308	C₃₁×#123	—	2	1	no	—
309	C₃₁×#123	—	2	1	no	—
310	C₃₁×#123	—	2	1	no	—
311	C₃₁×#123	—	2	1	no	—
312	C₃₁×#123	—	2	1	no	—
313	C₃₁×#123	—	2	1	no	—
314	C₃₁×#123	—	2	1	no	—
315	C₃₁×#123	—	2	1	no	—
316	C₃₁×#123	—	2	1	no	—
317	C₃₁×#123	—	2	1	no	—
318	C₃₁×#123	D₄	1	1	yes	characteristic
319	C₃₁×#123	D₄	1	1	yes	characteristic
320	C₃₁×C₂²⋊Q₈	—	2	1	no	—
321	C₃₁×C₂²⋊Q₈	—	2	1	no	—
322	C₃₁×C₂²⋊Q₈	—	2	1	no	—
323	C₃₁×C₂²⋊Q₈	—	2	1	no	—
324	C₃₁×C₂²⋊Q₈	—	2	1	no	—
325	C₃₁×C₂²⋊Q₈	—	2	1	no	—
326	C₃₁×C₂²⋊Q₈	—	2	1	no	—
327	C₃₁×C₂²⋊Q₈	—	2	1	no	—
328	C₃₁×C₂²⋊Q₈	—	2	1	no	—
329	C₃₁×C₂²⋊Q₈	—	2	1	no	—
330	C₃₁×C₂²⋊Q₈	—	2	1	no	—
331	C₃₁×C₂²⋊Q₈	—	2	1	no	—
332	C₃₁×C₂²⋊Q₈	—	2	1	no	—
333	C₃₁×C₂²⋊Q₈	—	2	1	no	—
334	C₃₁×C₂²⋊Q₈	—	2	1	no	—
335	C₃₁×C₂²⋊Q₈	—	2	1	no	—
336	C₃₁×C₂²⋊Q₈	—	2	1	no	—
337	C₃₁×C₂²⋊Q₈	—	2	1	no	—
338	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
339	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
340	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
341	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
342	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
343	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
344	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
345	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
346	C₃₁×#121	—	2	1	no	—
347	C₃₁×#121	—	2	1	no	—
348	C₃₁×#121	—	2	1	no	—
349	C₃₁×#121	—	2	1	no	—
350	C₃₁×#121	—	2	1	no	—
351	C₃₁×#121	—	2	1	no	—
352	C₃₁×#121	—	2	1	no	—
353	C₃₁×#121	—	2	1	no	—
354	C₃₁×#121	—	2	1	no	—
355	C₃₁×#121	D₄	1	1	yes	characteristic
356	C₃₁×#121	C₂³	1	1	yes	characteristic
357	C₃₁×#121	C₂³	1	1	yes	characteristic
358	C₃₁×#121	C₂³	1	1	yes	characteristic
359	C₃₁×#121	C₂³	1	1	yes	characteristic
360	C₃₁×#121	C₂³	1	1	yes	characteristic
361	C₃₁×#120	—	2	1	no	—
362	C₃₁×#120	—	2	1	no	—
363	C₃₁×#120	—	2	1	no	—
364	C₃₁×#120	—	2	1	no	—
365	C₄×Q₈×C₃₁	—	2	1	no	—
366	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
367	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
368	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
369	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
370	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
371	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
372	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
373	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₃₁	—	2	1	no	—
375	C₄×D₄×C₃₁	—	2	1	no	—
376	C₄×D₄×C₃₁	—	2	1	no	—
377	C₄×D₄×C₃₁	—	2	1	no	—
378	C₄×D₄×C₃₁	—	2	1	no	—
379	C₄×D₄×C₃₁	—	2	1	no	—
380	C₄×D₄×C₃₁	—	2	1	no	—
381	C₄×D₄×C₃₁	—	2	1	no	—
382	C₄×D₄×C₃₁	—	2	1	no	—
383	C₄×D₄×C₃₁	—	2	1	no	—
384	C₄×D₄×C₃₁	—	2	1	no	—
385	C₄×D₄×C₃₁	—	2	1	no	—
386	C₄×D₄×C₃₁	—	2	1	no	—
387	C₄×D₄×C₃₁	—	2	1	no	—
388	C₄×D₄×C₃₁	—	2	1	no	—
389	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
390	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
391	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
392	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
393	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
394	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
395	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
396	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
397	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
398	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
399	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
400	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
401	C₃₁×#117	—	2	1	no	—
402	C₃₁×#117	—	2	1	no	—
403	C₃₁×#117	—	2	1	no	—
404	C₃₁×#117	—	2	1	no	—
405	C₃₁×#117	—	2	1	no	—
406	C₃₁×#117	C₂³	1	1	yes	characteristic
407	C₃₁×#117	C₂³	1	1	yes	characteristic
408	C₃₁×#117	C₂³	1	1	yes	characteristic
409	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
410	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
411	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
412	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
413	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
414	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
415	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
416	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
417	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
418	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
419	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
420	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
421	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
422	C₃₁×#107	C₂³	1	1	yes	characteristic
423	C₃₁×#107	C₂³	1	1	yes	characteristic
424	C₃₁×#107	C₂³	1	1	yes	characteristic
425	C₃₁×#107	C₂³	1	1	yes	characteristic
426	C₃₁×#106	C₂³	1	1	yes	characteristic
427	C₃₁×#106	C₂³	1	1	yes	characteristic
428	C₃₁×#106	C₂³	1	1	yes	characteristic
429	C₃₁×#106	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₃₁×C₄⋊C₈	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×#103	C₂³	1	1	yes	characteristic
454	C₃₁×#103	C₂³	1	1	yes	characteristic
455	C₃₁×#103	C₂³	1	1	yes	characteristic
456	C₃₁×#103	C₂³	1	1	yes	characteristic
457	C₃₁×#103	C₂³	1	1	yes	characteristic
458	C₃₁×#103	C₂³	1	1	yes	characteristic
459	C₃₁×#103	C₂³	1	1	yes	characteristic
460	C₃₁×#103	C₂³	1	1	yes	characteristic
461	C₃₁×#103	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×#102	C₂³	1	1	yes	characteristic
466	C₃₁×#102	C₂³	1	1	yes	characteristic
467	C₃₁×#102	C₂³	1	1	yes	characteristic
468	C₃₁×#102	C₂³	1	1	yes	characteristic
469	C₃₁×#102	C₂³	1	1	yes	characteristic
470	C₃₁×#102	C₂³	1	1	yes	characteristic
471	C₃₁×#102	C₂³	1	1	yes	characteristic
472	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
473	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
474	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₃₁×#97	C₂³	1	1	yes	characteristic
479	C₃₁×#97	C₂³	1	1	yes	characteristic
480	C₃₁×#97	C₂³	1	1	yes	characteristic
481	C₃₁×#97	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
484	C₂⁴×C₃₁	—	2	1	no	—
485	C₂⁴×C₃₁	—	2	1	no	—
486	#41×C₃₁	—	2	2	no	—
487	#41×C₃₁	—	4	1	no	—
488	#41×C₃₁	—	4	1	no	—
489	#41×C₃₁	—	4	1	no	—
490	#41×C₃₁	—	4	1	no	—
491	#41×C₃₁	—	4	1	no	—
492	#41×C₃₁	—	8	2	no	—
493	C₂×Q₈×C₃₁	—	2	1	no	—
494	C₂×Q₈×C₃₁	—	2	1	no	—
495	C₂×Q₈×C₃₁	—	2	1	no	—
496	C₂×Q₈×C₃₁	—	2	1	no	—
497	C₂×Q₈×C₃₁	—	2	1	no	—
498	C₂×Q₈×C₃₁	—	4	1	no	—
499	C₂×Q₈×C₃₁	—	4	1	no	—
500	C₂×Q₈×C₃₁	—	4	1	no	—
501	C₂×Q₈×C₃₁	—	4	1	no	—
502	C₂×Q₈×C₃₁	—	4	1	no	—
503	C₂×Q₈×C₃₁	—	4	1	no	—
504	C₂×Q₈×C₃₁	—	4	1	no	—
505	C₂×Q₈×C₃₁	—	4	1	no	—
506	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
507	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
509	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
510	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
511	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
512	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
513	C₂×D₄×C₃₁	—	2	2	no	—
514	C₂×D₄×C₃₁	—	2	2	no	—
515	C₂×D₄×C₃₁	—	2	1	no	—
516	C₂×D₄×C₃₁	—	2	1	no	—
517	C₂×D₄×C₃₁	—	2	1	no	—
518	C₂×D₄×C₃₁	—	2	1	no	—
519	C₂×D₄×C₃₁	—	2	1	no	—
520	C₂×D₄×C₃₁	—	2	1	no	—
521	C₂×D₄×C₃₁	—	2	1	no	—
522	C₂×D₄×C₃₁	—	2	1	no	—
523	C₂×D₄×C₃₁	—	2	1	no	—
524	C₂×D₄×C₃₁	—	2	1	no	—
525	C₂×D₄×C₃₁	—	2	1	no	—
526	C₂×D₄×C₃₁	—	2	1	no	—
527	C₂×D₄×C₃₁	—	4	1	no	—
528	C₂×D₄×C₃₁	—	4	1	no	—
529	C₂×D₄×C₃₁	—	8	2	no	—
530	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
531	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
532	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
533	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
534	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
535	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
536	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
545	C₂²×C₄×C₃₁	—	2	1	no	—
546	C₂²×C₄×C₃₁	—	2	1	no	—
547	C₂²×C₄×C₃₁	—	2	1	no	—
548	C₂²×C₄×C₃₁	—	2	1	no	—
549	C₂²×C₄×C₃₁	—	2	1	no	—
550	C₂²×C₄×C₃₁	—	2	1	no	—
551	C₂²×C₄×C₃₁	—	2	1	no	—
552	C₂²×C₄×C₃₁	—	2	1	no	—
553	C₂²×C₄×C₃₁	—	2	1	no	—
554	C₂²×C₄×C₃₁	—	2	1	no	—
555	C₂²×C₄×C₃₁	—	8	2	no	—
556	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
557	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
558	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
561	Q₁₆×C₃₁	—	4	1	no	—
562	Q₁₆×C₃₁	—	4	1	no	—
563	Q₁₆×C₃₁	—	4	1	no	—
564	Q₁₆×C₃₁	—	4	1	no	—
565	Q₁₆×C₃₁	—	4	1	no	—
566	SD₁₆×C₃₁	—	2	2	no	—
567	SD₁₆×C₃₁	—	2	2	no	—
568	SD₁₆×C₃₁	—	2	2	no	—
569	SD₁₆×C₃₁	—	2	2	no	—
570	SD₁₆×C₃₁	—	2	2	no	—
571	SD₁₆×C₃₁	—	4	1	no	—
572	SD₁₆×C₃₁	—	4	1	no	—
573	SD₁₆×C₃₁	—	4	1	no	—
574	SD₁₆×C₃₁	—	4	1	no	—
575	SD₁₆×C₃₁	—	4	1	no	—
576	SD₁₆×C₃₁	—	4	1	no	—
577	SD₁₆×C₃₁	—	4	1	no	—
578	SD₁₆×C₃₁	—	4	1	no	—
579	SD₁₆×C₃₁	—	4	1	no	—
580	SD₁₆×C₃₁	—	4	1	no	—
581	SD₁₆×C₃₁	—	4	1	no	—
582	D₈×C₃₁	—	2	2	no	—
583	D₈×C₃₁	—	4	1	no	—
584	D₈×C₃₁	—	4	1	no	—
585	M₁₆×C₃₁	—	4	1	no	—
586	M₁₆×C₃₁	—	4	1	no	—
587	C₂×C₈×C₃₁	—	4	1	no	—
588	C₂×C₈×C₃₁	—	4	1	no	—
589	C₂×C₈×C₃₁	—	4	1	no	—
590	C₂×C₈×C₃₁	—	4	1	no	—
591	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
592	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
593	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
594	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
595	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
596	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
597	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
598	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
614	C₄⋊C₄×C₃₁	—	2	1	no	—
615	C₄⋊C₄×C₃₁	—	2	1	no	—
616	C₄⋊C₄×C₃₁	—	2	1	no	—
617	C₄⋊C₄×C₃₁	—	2	1	no	—
618	C₄⋊C₄×C₃₁	—	2	1	no	—
619	C₄⋊C₄×C₃₁	—	2	1	no	—
620	C₄⋊C₄×C₃₁	—	2	1	no	—
621	C₄⋊C₄×C₃₁	—	2	1	no	—
622	C₄⋊C₄×C₃₁	—	2	1	no	—
623	C₄⋊C₄×C₃₁	—	2	1	no	—
624	C₄⋊C₄×C₃₁	—	2	1	no	—
625	C₄⋊C₄×C₃₁	—	2	1	no	—
626	C₄⋊C₄×C₃₁	—	2	1	no	—
627	C₄⋊C₄×C₃₁	—	2	1	no	—
628	C₄⋊C₄×C₃₁	—	2	1	no	—
629	C₄⋊C₄×C₃₁	—	2	1	no	—
630	C₄⋊C₄×C₃₁	—	2	1	no	—
631	C₄⋊C₄×C₃₁	—	2	1	no	—
632	C₄⋊C₄×C₃₁	—	2	1	no	—
633	C₄⋊C₄×C₃₁	—	2	1	no	—
634	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
635	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
636	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
637	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
638	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
639	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
640	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
641	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
642	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
643	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
644	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
645	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
646	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
647	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
648	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
649	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
659	C₂²⋊C₄×C₃₁	—	2	1	no	—
660	C₂²⋊C₄×C₃₁	—	2	1	no	—
661	C₂²⋊C₄×C₃₁	—	2	1	no	—
662	C₂²⋊C₄×C₃₁	—	2	1	no	—
663	C₂²⋊C₄×C₃₁	—	2	1	no	—
664	C₂²⋊C₄×C₃₁	—	2	1	no	—
665	C₂²⋊C₄×C₃₁	—	2	1	no	—
666	C₂²⋊C₄×C₃₁	—	2	1	no	—
667	C₂²⋊C₄×C₃₁	—	2	1	no	—
668	C₂²⋊C₄×C₃₁	—	2	1	no	—
669	C₂²⋊C₄×C₃₁	—	2	1	no	—
670	C₂²⋊C₄×C₃₁	—	2	1	no	—
671	C₂²⋊C₄×C₃₁	—	2	1	no	—
672	C₂²⋊C₄×C₃₁	—	2	1	no	—
673	C₂²⋊C₄×C₃₁	—	2	1	no	—
674	C₂²⋊C₄×C₃₁	—	2	1	no	—
675	C₂²⋊C₄×C₃₁	—	2	1	no	—
676	C₂²⋊C₄×C₃₁	—	2	1	no	—
677	C₂²⋊C₄×C₃₁	—	2	1	no	—
678	C₂²⋊C₄×C₃₁	—	2	1	no	—
679	C₂²⋊C₄×C₃₁	—	2	1	no	—
680	C₂²⋊C₄×C₃₁	—	2	1	no	—
681	C₂²⋊C₄×C₃₁	—	2	1	no	—
682	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
683	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
684	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
685	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
686	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
687	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
688	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
689	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
690	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
691	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
692	C₄²×C₃₁	—	2	1	no	—
693	C₄²×C₃₁	—	2	1	no	—
694	C₄²×C₃₁	—	2	1	no	—
695	C₄²×C₃₁	—	2	1	no	—
696	C₄²×C₃₁	—	2	1	no	—
697	C₄²×C₃₁	—	2	1	no	—
698	C₄²×C₃₁	—	2	1	no	—
699	C₄²×C₃₁	—	2	1	no	—
700	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
701	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
702	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
703	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
704	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
705	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
706	#62008	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
707	C₂³×C₃₁	—	2	1	no	—
708	C₂³×C₃₁	—	2	1	no	—
709	C₂³×C₃₁	—	2	1	no	—
710	C₂³×C₃₁	—	2	1	no	—
711	C₂³×C₃₁	—	4	2	no	—
712	C₂³×C₃₁	—	4	2	no	—
713	C₂³×C₃₁	—	4	2	no	—
714	C₂³×C₃₁	—	8	1	no	—
715	C₂³×C₃₁	—	8	1	no	—
716	C₂³×C₃₁	—	8	1	no	—
717	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
718	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
719	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
720	Q₈×C₃₁	—	2	1	no	—
721	Q₈×C₃₁	—	2	1	no	—
722	Q₈×C₃₁	—	2	1	no	—
723	Q₈×C₃₁	—	2	1	no	—
724	Q₈×C₃₁	—	2	1	no	—
725	Q₈×C₃₁	—	2	1	no	—
726	Q₈×C₃₁	—	2	1	no	—
727	Q₈×C₃₁	—	2	1	no	—
728	Q₈×C₃₁	—	2	1	no	—
729	Q₈×C₃₁	—	2	1	no	—
730	Q₈×C₃₁	—	2	1	no	—
731	Q₈×C₃₁	—	2	1	no	—
732	Q₈×C₃₁	—	4	1	no	—
733	Q₈×C₃₁	—	8	1	no	—
734	Q₈×C₃₁	—	8	1	no	—
735	Q₈×C₃₁	—	8	1	no	—
736	Q₈×C₃₁	—	8	1	no	—
737	Q₈×C₃₁	—	8	1	no	—
738	D₄×C₃₁	—	2	2	no	—
739	D₄×C₃₁	—	2	2	no	—
740	D₄×C₃₁	—	2	1	no	—
741	D₄×C₃₁	—	2	1	no	—
742	D₄×C₃₁	—	2	1	no	—
743	D₄×C₃₁	—	2	1	no	—
744	D₄×C₃₁	—	2	1	no	—
745	D₄×C₃₁	—	2	1	no	—
746	D₄×C₃₁	—	2	1	no	—
747	D₄×C₃₁	—	4	1	no	—
748	D₄×C₃₁	—	4	2	no	—
749	D₄×C₃₁	—	4	2	no	—
750	D₄×C₃₁	—	4	2	no	—
751	D₄×C₃₁	—	4	2	no	—
752	D₄×C₃₁	—	4	2	no	—
753	D₄×C₃₁	—	8	1	no	—
754	D₄×C₃₁	—	8	1	no	—
755	D₄×C₃₁	—	8	1	no	—
756	D₄×C₃₁	—	8	1	no	—
757	D₄×C₃₁	—	8	1	no	—
758	D₄×C₃₁	—	8	1	no	—
759	D₄×C₃₁	—	8	1	no	—
760	D₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
761	C₂×C₄×C₃₁	—	2	2	no	—
762	C₂×C₄×C₃₁	—	2	1	no	—
763	C₂×C₄×C₃₁	—	2	1	no	—
764	C₂×C₄×C₃₁	—	2	1	no	—
765	C₂×C₄×C₃₁	—	2	1	no	—
766	C₂×C₄×C₃₁	—	2	1	no	—
767	C₂×C₄×C₃₁	—	2	1	no	—
768	C₂×C₄×C₃₁	—	2	1	no	—
769	C₂×C₄×C₃₁	—	2	1	no	—
770	C₂×C₄×C₃₁	—	2	1	no	—
771	C₂×C₄×C₃₁	—	2	1	no	—
772	C₂×C₄×C₃₁	—	2	1	no	—
773	C₂×C₄×C₃₁	—	2	1	no	—
774	C₂×C₄×C₃₁	—	2	1	no	—
775	C₂×C₄×C₃₁	—	2	1	no	—
776	C₂×C₄×C₃₁	—	2	1	no	—
777	C₂×C₄×C₃₁	—	2	1	no	—
778	C₂×C₄×C₃₁	—	2	1	no	—
779	C₂×C₄×C₃₁	—	2	1	no	—
780	C₂×C₄×C₃₁	—	4	1	no	—
781	C₂×C₄×C₃₁	—	4	2	no	—
782	C₂×C₄×C₃₁	—	4	2	no	—
783	C₂×C₄×C₃₁	—	4	2	no	—
784	C₂×C₄×C₃₁	—	8	1	no	—
785	C₂×C₄×C₃₁	—	8	1	no	—
786	C₂×C₄×C₃₁	—	8	1	no	—
787	C₂×C₄×C₃₁	—	8	1	no	—
788	C₂×C₄×C₃₁	—	8	1	no	—
789	C₂×C₄×C₃₁	—	8	1	no	—
790	C₂×C₄×C₃₁	—	8	1	no	—
791	C₂×C₄×C₃₁	—	8	1	no	—
792	C₂×C₄×C₃₁	—	8	1	no	—
793	C₂×C₄×C₃₁	—	8	1	no	—
794	C₂×C₄×C₃₁	—	8	1	no	—
795	C₂×C₄×C₃₁	—	8	1	no	—
796	C₂×C₄×C₃₁	—	8	1	no	—
797	C₂×C₄×C₃₁	—	8	1	no	—
798	C₂×C₄×C₃₁	—	8	1	no	—
799	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
801	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
802	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
803	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
804	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
805	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
806	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
811	C₈×C₃₁	—	2	1	no	—
812	C₈×C₃₁	—	2	1	no	—
813	C₈×C₃₁	—	2	1	no	—
814	C₈×C₃₁	—	2	1	no	—
815	C₈×C₃₁	—	2	1	no	—
816	C₈×C₃₁	—	2	1	no	—
817	C₈×C₃₁	—	2	1	no	—
818	C₈×C₃₁	—	2	1	no	—
819	#3552	C₂×C₃₁	1	1	yes	characteristic, complemented
820	#3513	C₂×C₃₁	1	1	yes	characteristic, complemented
821	#3401	C₂×C₃₁	1	1	yes	characteristic, complemented
822	#3400	C₂×C₃₁	1	1	yes	characteristic, complemented
823	#3376	C₂×C₃₁	1	1	yes	characteristic, complemented
824	#3372	C₂×C₃₁	1	1	yes	characteristic, complemented
825	#3320	C₂×C₃₁	1	1	yes	characteristic, complemented
826	#3312	C₂×C₃₁	1	1	yes	characteristic, complemented
827	#3308	C₂×C₃₁	1	1	yes	characteristic, complemented
828	#3307	C₂×C₃₁	1	1	yes	characteristic, complemented
829	#3300	C₂×C₃₁	1	1	yes	characteristic, complemented
830	#3298	C₂×C₃₁	1	1	yes	characteristic, complemented
831	#3282	C₂×C₃₁	1	1	yes	characteristic, complemented
832	D₄×SD₁₆	C₂×C₃₁	1	1	yes	characteristic, complemented
833	#3267	C₂×C₃₁	1	1	yes	characteristic, complemented
834	#3266	C₂×C₃₁	1	1	yes	characteristic, complemented
835	#3266	C₂×C₃₁	1	1	yes	characteristic, complemented
836	#3265	C₂×C₃₁	1	1	yes	characteristic, complemented
837	#3260	C₂×C₃₁	1	1	yes	characteristic, complemented
838	#3258	C₂×C₃₁	1	1	yes	characteristic, complemented
839	#3250	C₂×C₃₁	1	1	yes	characteristic, complemented
840	#3225	C₂×C₃₁	1	1	yes	characteristic, complemented
841	#3221	C₂×C₃₁	1	1	yes	characteristic, complemented
842	#3218	C₂×C₃₁	1	1	yes	characteristic, complemented
843	#3123	C₂×C₃₁	1	1	yes	characteristic, complemented
844	#3120	C₂×C₃₁	1	1	yes	characteristic, complemented
845	#3114	C₂×C₃₁	1	1	yes	characteristic, complemented
846	#3046	C₂×C₃₁	1	1	yes	characteristic, complemented
847	#3042	C₂×C₃₁	1	1	yes	characteristic, complemented
848	C₂×#461	C₂×C₃₁	1	1	yes	characteristic, complemented
849	#2992	C₂×C₃₁	1	1	yes	characteristic, complemented
850	C₂²×C₃₁	—	2	1	no	—
851	C₂²×C₃₁	—	2	1	no	—
852	C₂²×C₃₁	—	2	1	no	—
853	C₂²×C₃₁	—	2	1	no	—
854	C₂²×C₃₁	—	2	1	no	—
855	C₂²×C₃₁	—	2	1	no	—
856	C₂²×C₃₁	—	2	2	no	—
857	C₂²×C₃₁	—	2	1	no	—
858	C₂²×C₃₁	—	2	1	no	—
859	C₂²×C₃₁	—	4	1	no	—
860	C₂²×C₃₁	—	4	1	no	—
861	C₂²×C₃₁	—	4	1	no	—
862	C₂²×C₃₁	—	4	1	no	—
863	C₂²×C₃₁	—	4	1	no	—
864	C₂²×C₃₁	—	4	1	no	—
865	C₂²×C₃₁	—	4	1	no	—
866	C₂²×C₃₁	—	4	1	no	—
867	C₂²×C₃₁	—	4	1	no	—
868	C₂²×C₃₁	—	4	1	no	—
869	C₂²×C₃₁	—	4	1	no	—
870	C₂²×C₃₁	—	8	4	no	—
871	C₂²×C₃₁	—	16	2	no	—
872	C₂²×C₃₁	#577	1	2	yes	—
873	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
874	C₄×C₃₁	—	2	1	no	—
875	C₄×C₃₁	—	2	1	no	—
876	C₄×C₃₁	—	2	1	no	—
877	C₄×C₃₁	—	2	1	no	—
878	C₄×C₃₁	—	2	1	no	—
879	C₄×C₃₁	—	2	1	no	—
880	C₄×C₃₁	—	2	1	no	—
881	C₄×C₃₁	—	2	1	no	—
882	C₄×C₃₁	—	2	1	no	—
883	C₄×C₃₁	—	2	1	no	—
884	C₄×C₃₁	—	2	1	no	—
885	C₄×C₃₁	—	4	1	no	—
886	C₄×C₃₁	—	4	1	no	—
887	C₄×C₃₁	—	4	1	no	—
888	C₄×C₃₁	—	4	1	no	—
889	C₄×C₃₁	—	4	1	no	—
890	C₄×C₃₁	—	4	1	no	—
891	C₄×C₃₁	—	4	1	no	—
892	C₄×C₃₁	—	4	1	no	—
893	C₄×C₃₁	—	4	1	no	—
894	C₄×C₃₁	—	4	1	no	—
895	C₄×C₃₁	—	4	1	no	—
896	C₄×C₃₁	—	4	1	no	—
897	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
898	C₄×C₃₁	#585	1	1	yes	characteristic
899	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic
900	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic
901	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic
902	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
903	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
904	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
905	#563	—	2	1	no	—
906	#563	—	2	1	no	—
907	#559	C₂²×C₃₁	1	1	yes	characteristic
908	#557	C₂²×C₃₁	1	1	yes	characteristic, complemented
909	#556	C₂²×C₃₁	1	1	yes	characteristic, complemented
910	#554	—	2	1	no	—
911	#554	C₂²×C₃₁	1	1	yes	characteristic
912	#553	—	2	1	no	—
913	#553	—	2	1	no	—
914	#553	C₂²×C₃₁	1	1	yes	characteristic
915	#552	C₂²×C₃₁	1	1	yes	characteristic
916	#551	—	2	1	no	—
917	#551	—	2	1	no	—
918	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
919	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
920	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
921	#548	C₂²×C₃₁	1	1	yes	characteristic
922	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
923	#547	C₂²×C₃₁	1	1	yes	characteristic
924	#547	C₂²×C₃₁	1	1	yes	characteristic, complemented
925	#546	—	2	1	no	—
926	#546	C₂²×C₃₁	1	1	yes	characteristic
927	#546	C₂²×C₃₁	1	1	yes	characteristic
928	D₄²	C₂²×C₃₁	1	1	yes	characteristic
929	#544	—	2	1	no	—
930	#542	—	2	1	no	—
931	#542	C₂²×C₃₁	1	1	yes	characteristic
932	#541	C₂²×C₃₁	1	1	yes	characteristic, complemented
933	#541	C₂²×C₃₁	1	1	yes	characteristic, complemented
934	#540	C₂²×C₃₁	1	1	yes	characteristic
935	#539	—	2	1	no	—
936	#539	—	2	1	no	—
937	#539	—	2	1	no	—
938	#538	—	2	1	no	—
939	#536	C₂²×C₃₁	1	1	yes	characteristic, complemented
940	#536	C₂²×C₃₁	1	1	yes	characteristic, complemented
941	C₂×C₄⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
942	#529	C₂²×C₃₁	1	1	yes	characteristic
943	#529	C₂²×C₃₁	1	1	yes	characteristic
944	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
945	#525	—	2	1	no	—
946	C₂×#123	—	2	1	no	—
947	#520	C₂²×C₃₁	1	1	yes	characteristic
948	#518	C₂²×C₃₁	1	1	yes	characteristic
949	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
950	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
951	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
952	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
953	#496	C₂²×C₃₁	1	1	yes	characteristic
954	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
955	#492	C₂²×C₃₁	1	1	yes	characteristic
956	#491	C₂²×C₃₁	1	1	yes	characteristic, complemented
957	#491	C₂²×C₃₁	1	1	yes	characteristic, complemented
958	#491	C₂²×C₃₁	1	1	yes	characteristic, complemented
959	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
960	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
961	#487	C₂²×C₃₁	1	1	yes	characteristic, complemented
962	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
963	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
964	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
965	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
966	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
967	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
968	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
969	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
970	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
971	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
972	#478	C₂²×C₃₁	1	1	yes	characteristic
973	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
974	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
975	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
976	#477	C₂²×C₃₁	1	1	yes	characteristic, complemented
977	#475	C₂²×C₃₁	1	1	yes	characteristic, complemented
978	#470	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	#467	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
987	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
988	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
989	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
990	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
991	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
992	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
993	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
995	#463	C₂²×C₃₁	1	1	yes	characteristic
996	#463	C₂²×C₃₁	1	1	yes	characteristic
997	#463	C₂²×C₃₁	1	1	yes	characteristic
998	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
999	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1000	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1001	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1002	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
1003	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
1004	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
1005	#461	C₂²×C₃₁	1	1	yes	characteristic
1006	#461	C₂²×C₃₁	1	1	yes	characteristic
1007	#461	C₂²×C₃₁	1	1	yes	characteristic
1008	#461	C₂²×C₃₁	1	1	yes	characteristic
1009	#461	C₂²×C₃₁	1	1	yes	characteristic
1010	#461	C₂²×C₃₁	1	1	yes	characteristic
1011	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1012	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1013	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1014	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1015	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1016	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1017	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1018	#460	C₂²×C₃₁	1	1	yes	characteristic
1019	#460	C₂²×C₃₁	1	1	yes	characteristic
1020	#452	C₂²×C₃₁	1	1	yes	characteristic
1021	#452	C₂²×C₃₁	1	1	yes	characteristic
1022	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1023	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	#450	C₂²×C₃₁	1	1	yes	characteristic
1027	#450	C₂²×C₃₁	1	1	yes	characteristic
1028	#450	C₂²×C₃₁	1	1	yes	characteristic
1029	#449	C₂²×C₃₁	1	1	yes	characteristic
1030	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1031	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1032	#448	C₂²×C₃₁	1	1	yes	characteristic
1033	#448	C₂²×C₃₁	1	1	yes	characteristic
1034	#448	C₂²×C₃₁	1	1	yes	characteristic
1035	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1036	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1037	#447	C₂²×C₃₁	1	1	yes	characteristic
1038	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1039	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1040	#442	C₂²×C₃₁	1	1	yes	characteristic
1041	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1042	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1043	#440	C₂²×C₃₁	1	1	yes	characteristic
1044	#440	C₂²×C₃₁	1	1	yes	characteristic
1045	#440	C₂²×C₃₁	1	1	yes	characteristic
1046	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1048	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1049	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1050	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
1051	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1052	#435	C₂²×C₃₁	1	1	yes	characteristic
1053	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1054	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1055	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1056	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic
1057	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1058	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1059	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1060	#432	C₂²×C₃₁	1	1	yes	characteristic, complemented
1061	#424	C₂²×C₃₁	1	1	yes	characteristic, complemented
1062	#424	C₂²×C₃₁	1	1	yes	characteristic, complemented
1063	C₂×C₄⋊C₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1064	#419	C₂²×C₃₁	1	1	yes	characteristic, complemented
1065	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1066	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1067	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic, complemented
1068	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic, complemented
1069	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic, complemented
1070	C₂×C₃₁	—	2	2	no	—
1071	C₂×C₃₁	—	4	1	no	—
1072	C₂×C₃₁	—	4	1	no	—
1073	C₂×C₃₁	—	4	2	no	—
1074	C₂×C₃₁	—	8	1	no	—
1075	C₂×C₃₁	—	8	1	no	—
1076	C₂×C₃₁	—	8	1	no	—
1077	C₂×C₃₁	#3488	1	1	yes	characteristic
1078	C₂×C₃₁	C₂×#577	1	1	yes	characteristic
1079	C₂×C₃₁	#3586	1	1	yes	characteristic
1080	C₂×#41	—	2	1	no	—
1081	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1082	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1083	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1084	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1085	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1086	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1087	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1088	C₂²×D₄	—	2	1	no	—
1089	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1090	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1091	C₂³×C₄	—	2	1	no	—
1092	#137	—	4	2	no	—
1093	AGL(1,ℤ/8)	—	4	2	no	—
1094	#135	—	4	2	no	—
1095	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1096	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1097	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1098	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1099	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1100	C₂×SD₁₆	—	4	2	no	—
1101	C₂×SD₁₆	—	4	2	no	—
1102	C₂×SD₁₆	—	4	2	no	—
1103	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1104	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1105	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1106	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1107	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1108	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1109	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1110	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1111	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1112	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1113	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1114	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1115	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1116	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1117	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1118	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1119	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1120	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1121	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1122	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1123	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1124	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1125	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1126	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1127	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1128	C₄⋊Q₈	—	2	1	no	—
1129	C₄⋊Q₈	—	2	1	no	—
1130	C₄⋊Q₈	—	2	1	no	—
1131	C₄⋊Q₈	—	2	1	no	—
1132	C₄⋊Q₈	—	2	1	no	—
1133	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1134	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1135	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1136	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1137	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1138	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1139	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1140	#127	C₂³×C₃₁	1	1	yes	characteristic
1141	#126	—	2	1	no	—
1142	#126	—	2	1	no	—
1143	#126	—	2	1	no	—
1144	#126	—	2	1	no	—
1145	#126	—	2	1	no	—
1146	#126	—	2	1	no	—
1147	#126	—	2	1	no	—
1148	#126	—	2	1	no	—
1149	#126	—	2	1	no	—
1150	#126	—	2	1	no	—
1151	#126	—	2	1	no	—
1152	#126	D₄×C₃₁	1	1	yes	characteristic
1153	#126	D₄×C₃₁	1	1	yes	characteristic
1154	#125	—	2	1	no	—
1155	#125	—	2	1	no	—
1156	#125	—	2	1	no	—
1157	#125	—	2	1	no	—
1158	#125	—	2	1	no	—
1159	#125	—	2	1	no	—
1160	#125	—	2	1	no	—
1161	#125	—	2	1	no	—
1162	#125	D₄×C₃₁	1	1	yes	characteristic
1163	#125	C₂³×C₃₁	1	1	yes	characteristic
1164	#125	C₂³×C₃₁	1	1	yes	characteristic
1165	#125	C₂³×C₃₁	1	1	yes	characteristic
1166	#124	—	2	1	no	—
1167	#124	—	2	1	no	—
1168	#124	—	2	1	no	—
1169	#124	—	2	1	no	—
1170	#124	D₄×C₃₁	1	1	yes	characteristic
1171	#124	C₂³×C₃₁	1	1	yes	characteristic
1172	#124	C₂³×C₃₁	1	1	yes	characteristic
1173	#124	C₂³×C₃₁	1	1	yes	characteristic
1174	#124	C₂³×C₃₁	1	1	yes	characteristic
1175	#124	C₂³×C₃₁	1	1	yes	characteristic
1176	#123	—	2	1	no	—
1177	#123	—	2	1	no	—
1178	#123	—	2	1	no	—
1179	#123	—	2	1	no	—
1180	#123	—	2	1	no	—
1181	#123	—	2	1	no	—
1182	#123	—	2	1	no	—
1183	#123	—	2	1	no	—
1184	#123	—	2	1	no	—
1185	#123	—	2	1	no	—
1186	#123	—	2	1	no	—
1187	#123	—	2	1	no	—
1188	#123	—	2	1	no	—
1189	#123	—	2	1	no	—
1190	#123	—	2	1	no	—
1191	#123	—	2	1	no	—
1192	#123	—	2	1	no	—
1193	#123	—	2	1	no	—
1194	#123	—	2	1	no	—
1195	#123	D₄×C₃₁	1	1	yes	characteristic
1196	#123	D₄×C₃₁	1	1	yes	characteristic
1197	C₂²⋊Q₈	—	2	1	no	—
1198	C₂²⋊Q₈	—	2	1	no	—
1199	C₂²⋊Q₈	—	2	1	no	—
1200	C₂²⋊Q₈	—	2	1	no	—
1201	C₂²⋊Q₈	—	2	1	no	—
1202	C₂²⋊Q₈	—	2	1	no	—
1203	C₂²⋊Q₈	—	2	1	no	—
1204	C₂²⋊Q₈	—	2	1	no	—
1205	C₂²⋊Q₈	—	2	1	no	—
1206	C₂²⋊Q₈	—	2	1	no	—
1207	C₂²⋊Q₈	—	2	1	no	—
1208	C₂²⋊Q₈	—	2	1	no	—
1209	C₂²⋊Q₈	—	2	1	no	—
1210	C₂²⋊Q₈	—	2	1	no	—
1211	C₂²⋊Q₈	—	2	1	no	—
1212	C₂²⋊Q₈	—	2	1	no	—
1213	C₂²⋊Q₈	—	2	1	no	—
1214	C₂²⋊Q₈	—	2	1	no	—
1215	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1216	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1217	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1218	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1219	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1220	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1221	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1222	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1223	#121	—	2	1	no	—
1224	#121	—	2	1	no	—
1225	#121	—	2	1	no	—
1226	#121	—	2	1	no	—
1227	#121	—	2	1	no	—
1228	#121	—	2	1	no	—
1229	#121	—	2	1	no	—
1230	#121	—	2	1	no	—
1231	#121	—	2	1	no	—
1232	#121	D₄×C₃₁	1	1	yes	characteristic
1233	#121	C₂³×C₃₁	1	1	yes	characteristic
1234	#121	C₂³×C₃₁	1	1	yes	characteristic
1235	#121	C₂³×C₃₁	1	1	yes	characteristic
1236	#121	C₂³×C₃₁	1	1	yes	characteristic
1237	#121	C₂³×C₃₁	1	1	yes	characteristic
1238	#120	—	2	1	no	—
1239	#120	—	2	1	no	—
1240	#120	—	2	1	no	—
1241	#120	—	2	1	no	—
1242	C₄×Q₈	—	2	1	no	—
1243	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1244	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1245	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1246	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1247	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1248	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1249	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1250	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1251	C₄×D₄	—	2	1	no	—
1252	C₄×D₄	—	2	1	no	—
1253	C₄×D₄	—	2	1	no	—
1254	C₄×D₄	—	2	1	no	—
1255	C₄×D₄	—	2	1	no	—
1256	C₄×D₄	—	2	1	no	—
1257	C₄×D₄	—	2	1	no	—
1258	C₄×D₄	—	2	1	no	—
1259	C₄×D₄	—	2	1	no	—
1260	C₄×D₄	—	2	1	no	—
1261	C₄×D₄	—	2	1	no	—
1262	C₄×D₄	—	2	1	no	—
1263	C₄×D₄	—	2	1	no	—
1264	C₄×D₄	—	2	1	no	—
1265	C₄×D₄	—	2	1	no	—
1266	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1267	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1268	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1269	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1270	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1271	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1272	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1273	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1274	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1275	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1276	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1277	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1278	#117	—	2	1	no	—
1279	#117	—	2	1	no	—
1280	#117	—	2	1	no	—
1281	#117	—	2	1	no	—
1282	#117	—	2	1	no	—
1283	#117	C₂³×C₃₁	1	1	yes	characteristic
1284	#117	C₂³×C₃₁	1	1	yes	characteristic
1285	#117	C₂³×C₃₁	1	1	yes	characteristic
1286	C₂×C₄⋊C₄	—	2	1	no	—
1287	C₂×C₄⋊C₄	—	2	1	no	—
1288	C₂×C₄⋊C₄	—	2	1	no	—
1289	C₂×C₄⋊C₄	—	2	1	no	—
1290	C₂×C₄⋊C₄	—	2	1	no	—
1291	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1292	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1293	C₂×C₂²⋊C₄	—	2	1	no	—
1294	C₂×C₂²⋊C₄	—	2	1	no	—
1295	C₂×C₂²⋊C₄	—	2	1	no	—
1296	C₂×C₂²⋊C₄	—	2	1	no	—
1297	C₂×C₂²⋊C₄	—	2	1	no	—
1298	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1299	#107	C₂³×C₃₁	1	1	yes	characteristic
1300	#107	C₂³×C₃₁	1	1	yes	characteristic
1301	#107	C₂³×C₃₁	1	1	yes	characteristic
1302	#107	C₂³×C₃₁	1	1	yes	characteristic
1303	#106	C₂³×C₃₁	1	1	yes	characteristic
1304	#106	C₂³×C₃₁	1	1	yes	characteristic
1305	#106	C₂³×C₃₁	1	1	yes	characteristic
1306	#106	C₂³×C₃₁	1	1	yes	characteristic
1307	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1308	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1309	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1310	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1311	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1312	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1313	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1314	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1315	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1316	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1317	#103	C₂³×C₃₁	1	1	yes	characteristic
1318	#103	C₂³×C₃₁	1	1	yes	characteristic
1319	#103	C₂³×C₃₁	1	1	yes	characteristic
1320	#103	C₂³×C₃₁	1	1	yes	characteristic
1321	#103	C₂³×C₃₁	1	1	yes	characteristic
1322	#103	C₂³×C₃₁	1	1	yes	characteristic
1323	#103	C₂³×C₃₁	1	1	yes	characteristic
1324	#103	C₂³×C₃₁	1	1	yes	characteristic
1325	#103	C₂³×C₃₁	1	1	yes	characteristic
1326	#103	C₂³×C₃₁	1	1	yes	characteristic
1327	#103	C₂³×C₃₁	1	1	yes	characteristic
1328	#103	C₂³×C₃₁	1	1	yes	characteristic
1329	#103	C₂³×C₃₁	1	1	yes	characteristic
1330	#103	C₂³×C₃₁	1	1	yes	characteristic
1331	#103	C₂³×C₃₁	1	1	yes	characteristic
1332	#103	C₂³×C₃₁	1	1	yes	characteristic
1333	#103	C₂³×C₃₁	1	1	yes	characteristic
1334	#103	C₂³×C₃₁	1	1	yes	characteristic
1335	#103	C₂³×C₃₁	1	1	yes	characteristic
1336	#103	C₂³×C₃₁	1	1	yes	characteristic
1337	#103	C₂³×C₃₁	1	1	yes	characteristic
1338	#103	C₂³×C₃₁	1	1	yes	characteristic
1339	#102	C₂³×C₃₁	1	1	yes	characteristic
1340	#102	C₂³×C₃₁	1	1	yes	characteristic
1341	#102	C₂³×C₃₁	1	1	yes	characteristic
1342	#102	C₂³×C₃₁	1	1	yes	characteristic
1343	#102	C₂³×C₃₁	1	1	yes	characteristic
1344	#102	C₂³×C₃₁	1	1	yes	characteristic
1345	#102	C₂³×C₃₁	1	1	yes	characteristic
1346	#102	C₂³×C₃₁	1	1	yes	characteristic
1347	#102	C₂³×C₃₁	1	1	yes	characteristic
1348	#102	C₂³×C₃₁	1	1	yes	characteristic
1349	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1350	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1351	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1352	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1353	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1354	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1355	#97	C₂³×C₃₁	1	1	yes	characteristic
1356	#97	C₂³×C₃₁	1	1	yes	characteristic
1357	#97	C₂³×C₃₁	1	1	yes	characteristic
1358	#97	C₂³×C₃₁	1	1	yes	characteristic
1359	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1360	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1361	C₃₁	#62008	1	1	yes	characteristic, direct product factor, Sylow
1362	C₂⁴	—	2	1	no	—
1363	C₂⁴	—	2	1	no	—
1364	#41	—	2	2	no	—
1365	#41	—	4	1	no	—
1366	#41	—	4	1	no	—
1367	#41	—	4	1	no	—
1368	#41	—	4	1	no	—
1369	#41	—	4	1	no	—
1370	#41	—	8	2	no	—
1371	C₂×Q₈	—	2	1	no	—
1372	C₂×Q₈	—	2	1	no	—
1373	C₂×Q₈	—	2	1	no	—
1374	C₂×Q₈	—	2	1	no	—
1375	C₂×Q₈	—	2	1	no	—
1376	C₂×Q₈	—	4	1	no	—
1377	C₂×Q₈	—	4	1	no	—
1378	C₂×Q₈	—	4	1	no	—
1379	C₂×Q₈	—	4	1	no	—
1380	C₂×Q₈	—	4	1	no	—
1381	C₂×Q₈	—	4	1	no	—
1382	C₂×Q₈	—	4	1	no	—
1383	C₂×Q₈	—	4	1	no	—
1384	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1385	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1386	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1387	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1388	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1389	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1390	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1391	C₂×D₄	—	2	2	no	—
1392	C₂×D₄	—	2	2	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	2	1	no	—
1395	C₂×D₄	—	2	1	no	—
1396	C₂×D₄	—	2	1	no	—
1397	C₂×D₄	—	2	1	no	—
1398	C₂×D₄	—	2	1	no	—
1399	C₂×D₄	—	2	1	no	—
1400	C₂×D₄	—	2	1	no	—
1401	C₂×D₄	—	2	1	no	—
1402	C₂×D₄	—	2	1	no	—
1403	C₂×D₄	—	2	1	no	—
1404	C₂×D₄	—	2	1	no	—
1405	C₂×D₄	—	4	1	no	—
1406	C₂×D₄	—	4	1	no	—
1407	C₂×D₄	—	8	2	no	—
1408	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1409	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1410	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1411	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1412	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1413	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1414	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1415	C₂²×C₄	—	2	1	no	—
1416	C₂²×C₄	—	2	1	no	—
1417	C₂²×C₄	—	2	1	no	—
1418	C₂²×C₄	—	2	1	no	—
1419	C₂²×C₄	—	2	1	no	—
1420	C₂²×C₄	—	2	1	no	—
1421	C₂²×C₄	—	2	1	no	—
1422	C₂²×C₄	—	2	1	no	—
1423	C₂²×C₄	—	2	1	no	—
1424	C₂²×C₄	—	2	1	no	—
1425	C₂²×C₄	—	2	1	no	—
1426	C₂²×C₄	—	2	1	no	—
1427	C₂²×C₄	—	2	1	no	—
1428	C₂²×C₄	—	2	1	no	—
1429	C₂²×C₄	—	2	1	no	—
1430	C₂²×C₄	—	2	1	no	—
1431	C₂²×C₄	—	2	1	no	—
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	8	2	no	—
1434	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1435	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1436	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1437	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1438	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1439	Q₁₆	—	4	1	no	—
1440	Q₁₆	—	4	1	no	—
1441	Q₁₆	—	4	1	no	—
1442	Q₁₆	—	4	1	no	—
1443	Q₁₆	—	4	1	no	—
1444	SD₁₆	—	2	2	no	—
1445	SD₁₆	—	2	2	no	—
1446	SD₁₆	—	2	2	no	—
1447	SD₁₆	—	2	2	no	—
1448	SD₁₆	—	2	2	no	—
1449	SD₁₆	—	4	1	no	—
1450	SD₁₆	—	4	1	no	—
1451	SD₁₆	—	4	1	no	—
1452	SD₁₆	—	4	1	no	—
1453	SD₁₆	—	4	1	no	—
1454	SD₁₆	—	4	1	no	—
1455	SD₁₆	—	4	1	no	—
1456	SD₁₆	—	4	1	no	—
1457	SD₁₆	—	4	1	no	—
1458	SD₁₆	—	4	1	no	—
1459	SD₁₆	—	4	1	no	—
1460	D₈	—	2	2	no	—
1461	D₈	—	4	1	no	—
1462	D₈	—	4	1	no	—
1463	M₁₆	—	4	1	no	—
1464	M₁₆	—	4	1	no	—
1465	C₂×C₈	—	4	1	no	—
1466	C₂×C₈	—	4	1	no	—
1467	C₂×C₈	—	4	1	no	—
1468	C₂×C₈	—	4	1	no	—
1469	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1470	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1471	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1472	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1473	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1474	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1475	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1476	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	—	2	1	no	—
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	2	1	no	—
1494	C₄⋊C₄	—	2	1	no	—
1495	C₄⋊C₄	—	2	1	no	—
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	2	1	no	—
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	2	1	no	—
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	1	no	—
1507	C₄⋊C₄	—	2	1	no	—
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1513	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1514	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1515	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1516	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1517	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1518	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1519	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1520	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1521	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1522	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1523	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1524	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1525	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1526	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1527	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1561	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1562	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1563	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1564	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1565	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1566	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1567	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1568	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1569	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1570	C₄²	—	2	1	no	—
1571	C₄²	—	2	1	no	—
1572	C₄²	—	2	1	no	—
1573	C₄²	—	2	1	no	—
1574	C₄²	—	2	1	no	—
1575	C₄²	—	2	1	no	—
1576	C₄²	—	2	1	no	—
1577	C₄²	—	2	1	no	—
1578	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1579	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1580	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1581	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1582	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1583	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1584	C₂³	—	2	1	no	—
1585	C₂³	—	2	1	no	—
1586	C₂³	—	2	1	no	—
1587	C₂³	—	2	1	no	—
1588	C₂³	—	4	2	no	—
1589	C₂³	—	4	2	no	—
1590	C₂³	—	4	2	no	—
1591	C₂³	—	8	1	no	—
1592	C₂³	—	8	1	no	—
1593	C₂³	—	8	1	no	—
1594	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1595	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1596	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1597	Q₈	—	2	1	no	—
1598	Q₈	—	2	1	no	—
1599	Q₈	—	2	1	no	—
1600	Q₈	—	2	1	no	—
1601	Q₈	—	2	1	no	—
1602	Q₈	—	2	1	no	—
1603	Q₈	—	2	1	no	—
1604	Q₈	—	2	1	no	—
1605	Q₈	—	2	1	no	—
1606	Q₈	—	2	1	no	—
1607	Q₈	—	2	1	no	—
1608	Q₈	—	2	1	no	—
1609	Q₈	—	4	1	no	—
1610	Q₈	—	8	1	no	—
1611	Q₈	—	8	1	no	—
1612	Q₈	—	8	1	no	—
1613	Q₈	—	8	1	no	—
1614	Q₈	—	8	1	no	—
1615	D₄	—	2	2	no	—
1616	D₄	—	2	2	no	—
1617	D₄	—	2	1	no	—
1618	D₄	—	2	1	no	—
1619	D₄	—	2	1	no	—
1620	D₄	—	2	1	no	—
1621	D₄	—	2	1	no	—
1622	D₄	—	2	1	no	—
1623	D₄	—	2	1	no	—
1624	D₄	—	4	1	no	—
1625	D₄	—	4	2	no	—
1626	D₄	—	4	2	no	—
1627	D₄	—	4	2	no	—
1628	D₄	—	4	2	no	—
1629	D₄	—	4	2	no	—
1630	D₄	—	8	1	no	—
1631	D₄	—	8	1	no	—
1632	D₄	—	8	1	no	—
1633	D₄	—	8	1	no	—
1634	D₄	—	8	1	no	—
1635	D₄	—	8	1	no	—
1636	D₄	—	8	1	no	—
1637	D₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
1638	C₂×C₄	—	2	2	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	2	1	no	—
1647	C₂×C₄	—	2	1	no	—
1648	C₂×C₄	—	2	1	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	2	1	no	—
1657	C₂×C₄	—	4	1	no	—
1658	C₂×C₄	—	4	2	no	—
1659	C₂×C₄	—	4	2	no	—
1660	C₂×C₄	—	4	2	no	—
1661	C₂×C₄	—	8	1	no	—
1662	C₂×C₄	—	8	1	no	—
1663	C₂×C₄	—	8	1	no	—
1664	C₂×C₄	—	8	1	no	—
1665	C₂×C₄	—	8	1	no	—
1666	C₂×C₄	—	8	1	no	—
1667	C₂×C₄	—	8	1	no	—
1668	C₂×C₄	—	8	1	no	—
1669	C₂×C₄	—	8	1	no	—
1670	C₂×C₄	—	8	1	no	—
1671	C₂×C₄	—	8	1	no	—
1672	C₂×C₄	—	8	1	no	—
1673	C₂×C₄	—	8	1	no	—
1674	C₂×C₄	—	8	1	no	—
1675	C₂×C₄	—	8	1	no	—
1676	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1677	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1678	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1679	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1680	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1681	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1682	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1683	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1684	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1685	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1686	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1687	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1688	C₈	—	2	1	no	—
1689	C₈	—	2	1	no	—
1690	C₈	—	2	1	no	—
1691	C₈	—	2	1	no	—
1692	C₈	—	2	1	no	—
1693	C₈	—	2	1	no	—
1694	C₈	—	2	1	no	—
1695	C₈	—	2	1	no	—
1696	C₂²	—	2	1	no	—
1697	C₂²	—	2	1	no	—
1698	C₂²	—	2	1	no	—
1699	C₂²	—	2	1	no	—
1700	C₂²	—	2	2	no	—
1701	C₂²	—	2	1	no	—
1702	C₂²	—	2	1	no	—
1703	C₂²	—	2	1	no	—
1704	C₂²	—	2	1	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	4	1	no	—
1708	C₂²	—	4	1	no	—
1709	C₂²	—	4	1	no	—
1710	C₂²	—	4	1	no	—
1711	C₂²	—	4	1	no	—
1712	C₂²	—	4	1	no	—
1713	C₂²	—	4	1	no	—
1714	C₂²	—	4	1	no	—
1715	C₂²	—	4	1	no	—
1716	C₂²	—	8	4	no	—
1717	C₂²	—	16	2	no	—
1718	C₂²	C₃₁×#577	1	2	yes	—
1719	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1720	C₄	—	2	1	no	—
1721	C₄	—	2	1	no	—
1722	C₄	—	2	1	no	—
1723	C₄	—	2	1	no	—
1724	C₄	—	2	1	no	—
1725	C₄	—	2	1	no	—
1726	C₄	—	2	1	no	—
1727	C₄	—	2	1	no	—
1728	C₄	—	2	1	no	—
1729	C₄	—	2	1	no	—
1730	C₄	—	2	1	no	—
1731	C₄	—	4	1	no	—
1732	C₄	—	4	1	no	—
1733	C₄	—	4	1	no	—
1734	C₄	—	4	1	no	—
1735	C₄	—	4	1	no	—
1736	C₄	—	4	1	no	—
1737	C₄	—	4	1	no	—
1738	C₄	—	4	1	no	—
1739	C₄	—	4	1	no	—
1740	C₄	—	4	1	no	—
1741	C₄	—	4	1	no	—
1742	C₄	—	4	1	no	—
1743	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1744	C₄	C₃₁×#585	1	1	yes	characteristic
1745	C₂	—	2	2	no	—
1746	C₂	—	4	1	no	—
1747	C₂	—	4	1	no	—
1748	C₂	—	4	2	no	—
1749	C₂	—	8	1	no	—
1750	C₂	—	8	1	no	—
1751	C₂	—	8	1	no	—
1752	C₂	C₃₁×#3488	1	1	yes	characteristic
1753	C₂	C₂×C₃₁×#577	1	1	yes	characteristic
1754	C₂	C₃₁×#3586	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3552	C₂	semidirect
2. C₃₁×#3513	C₂	semidirect
3. C₃₁×#3401	C₂	semidirect
4. C₃₁×#3400	C₂	semidirect
5. C₃₁×#3376	C₂	semidirect
6. C₃₁×#3372	C₂	semidirect
7. C₃₁×#3320	C₂	semidirect
8. C₃₁×#3312	C₂	semidirect
9. C₃₁×#3308	C₂	semidirect
10. C₃₁×#3307	C₂	semidirect
11. C₃₁×#3300	C₂	semidirect
12. C₃₁×#3298	C₂	semidirect
13. C₃₁×#3282	C₂	semidirect
14. D₄×SD₁₆×C₃₁	C₂	semidirect
15. C₃₁×#3267	C₂	semidirect
16. C₃₁×#3266	C₂	semidirect
17. C₃₁×#3266	C₂	semidirect
18. C₃₁×#3265	C₂	semidirect
19. C₃₁×#3260	C₂	semidirect
20. C₃₁×#3258	C₂	semidirect
21. C₃₁×#3250	C₂	semidirect
22. C₃₁×#3225	C₂	semidirect
23. C₃₁×#3221	C₂	semidirect
24. C₃₁×#3218	C₂	semidirect
25. C₃₁×#3123	C₂	semidirect
26. C₃₁×#3120	C₂	semidirect
27. C₃₁×#3114	C₂	semidirect
28. C₃₁×#3046	C₂	semidirect
29. C₃₁×#3042	C₂	semidirect
30. C₂×C₃₁×#461	C₂	semidirect
31. C₃₁×#2992	C₂	semidirect
41. C₃₁×#557	C₂²	semidirect
42. C₃₁×#556	C₂²	semidirect
52. D₄×Q₈×C₃₁	C₂²	semidirect
53. D₄×Q₈×C₃₁	C₂²	semidirect
55. C₃₁×#548	C₂²	semidirect
57. C₃₁×#547	C₂²	semidirect
65. C₃₁×#541	C₂²	semidirect
66. C₃₁×#541	C₂²	semidirect
72. C₃₁×#536	C₂²	semidirect
73. C₃₁×#536	C₂²	semidirect
74. C₂×C₃₁×C₄⋊Q₈	C₂²	semidirect
77. C₃₁×#529	C₂²	semidirect
83. C₃₁×#497	C₂²	semidirect
84. C₃₁×#497	C₂²	semidirect
85. C₃₁×#497	C₂²	semidirect
87. C₃₁×#495	C₂²	semidirect
89. C₃₁×#491	C₂²	semidirect
90. C₃₁×#491	C₂²	semidirect
91. C₃₁×#491	C₂²	semidirect
92. C₃₁×#489	C₂²	semidirect
93. C₃₁×#488	C₂²	semidirect
94. C₃₁×#487	C₂²	semidirect
95. C₃₁×#485	C₂²	semidirect
96. C₃₁×#485	C₂²	semidirect
97. C₃₁×#484	C₂²	semidirect
98. C₃₁×#483	C₂²	semidirect
99. C₃₁×#483	C₂²	semidirect
100. C₃₁×#480	C₂²	semidirect
101. C₃₁×#479	C₂²	semidirect
102. C₃₁×#479	C₂²	semidirect
103. C₃₁×#479	C₂²	semidirect
104. C₃₁×#479	C₂²	semidirect
106. C₃₁×#478	C₂²	semidirect
107. C₃₁×#478	C₂²	semidirect
108. C₃₁×#478	C₂²	semidirect
109. C₃₁×#477	C₂²	semidirect
110. C₃₁×#475	C₂²	semidirect
111. C₃₁×#470	C₂²	semidirect
113. C₃₁×#468	C₂²	semidirect
114. C₃₁×#468	C₂²	semidirect
115. C₃₁×#467	C₂²	semidirect
116. C₃₁×#467	C₂²	semidirect
120. C₃₁×#465	C₂²	semidirect
121. C₃₁×#465	C₂²	semidirect
122. C₃₁×#465	C₂²	semidirect
123. C₃₁×#464	C₂²	semidirect
124. C₃₁×#464	C₂²	semidirect
125. C₃₁×#464	C₂²	semidirect
126. C₃₁×#464	C₂²	semidirect
127. C₃₁×#464	C₂²	semidirect
131. C₃₁×#463	C₂²	semidirect
132. C₃₁×#463	C₂²	semidirect
133. C₃₁×#463	C₂²	semidirect
134. C₃₁×#463	C₂²	semidirect
135. C₃₁×#462	C₂²	semidirect
136. C₃₁×#462	C₂²	semidirect
137. C₃₁×#462	C₂²	semidirect
144. C₃₁×#461	C₂²	semidirect
145. C₃₁×#461	C₂²	semidirect
146. C₃₁×#461	C₂²	semidirect
147. C₃₁×#461	C₂²	semidirect
148. C₃₁×#461	C₂²	semidirect
149. C₃₁×#461	C₂²	semidirect
150. C₃₁×#461	C₂²	semidirect
155. C₃₁×#452	C₂²	semidirect
156. C₃₁×#451	C₂²	semidirect
157. C₃₁×#451	C₂²	semidirect
158. C₃₁×#451	C₂²	semidirect
163. C₃₁×#449	C₂²	semidirect
164. C₃₁×#449	C₂²	semidirect
168. C₃₁×#448	C₂²	semidirect
169. C₃₁×#448	C₂²	semidirect
171. C₃₁×#446	C₂²	semidirect
172. C₃₁×#446	C₂²	semidirect
174. C₃₁×#442	C₂²	semidirect
175. C₃₁×#441	C₂²	semidirect
179. C₃₁×#440	C₂²	semidirect
180. C₃₁×#440	C₂²	semidirect
181. C₄×Q₁₆×C₃₁	C₂²	semidirect
184. C₄×SD₁₆×C₃₁	C₂²	semidirect
186. C₃₁×#435	C₂²	semidirect
187. C₃₁×#435	C₂²	semidirect
188. C₃₁×#435	C₂²	semidirect
190. C₈×D₄×C₃₁	C₂²	semidirect
191. C₃₁×#433	C₂²	semidirect
192. C₃₁×#433	C₂²	semidirect
193. C₃₁×#432	C₂²	semidirect
194. C₃₁×#424	C₂²	semidirect
195. C₃₁×#424	C₂²	semidirect
196. C₂×C₃₁×C₄⋊C₈	C₂²	semidirect
197. C₃₁×#419	C₂²	semidirect
198. C₃₁×#417	C₂²	semidirect
199. C₃₁×#416	C₂²	semidirect
200. C₂×C₃₁×#103	C₂²	semidirect
201. C₂×C₃₁×#103	C₂²	semidirect
202. C₂×C₃₁×#103	C₂²	semidirect
706. #62008	C₃₁	direct (N × H)
819. #3552	C₂×C₃₁	semidirect
820. #3513	C₂×C₃₁	semidirect
821. #3401	C₂×C₃₁	semidirect
822. #3400	C₂×C₃₁	semidirect
823. #3376	C₂×C₃₁	semidirect
824. #3372	C₂×C₃₁	semidirect
825. #3320	C₂×C₃₁	semidirect
826. #3312	C₂×C₃₁	semidirect
827. #3308	C₂×C₃₁	semidirect
828. #3307	C₂×C₃₁	semidirect
829. #3300	C₂×C₃₁	semidirect
830. #3298	C₂×C₃₁	semidirect
831. #3282	C₂×C₃₁	semidirect
832. D₄×SD₁₆	C₂×C₃₁	semidirect
833. #3267	C₂×C₃₁	semidirect
834. #3266	C₂×C₃₁	semidirect
835. #3266	C₂×C₃₁	semidirect
836. #3265	C₂×C₃₁	semidirect
837. #3260	C₂×C₃₁	semidirect
838. #3258	C₂×C₃₁	semidirect
839. #3250	C₂×C₃₁	semidirect
840. #3225	C₂×C₃₁	semidirect
841. #3221	C₂×C₃₁	semidirect
842. #3218	C₂×C₃₁	semidirect
843. #3123	C₂×C₃₁	semidirect
844. #3120	C₂×C₃₁	semidirect
845. #3114	C₂×C₃₁	semidirect
846. #3046	C₂×C₃₁	semidirect
847. #3042	C₂×C₃₁	semidirect
848. C₂×#461	C₂×C₃₁	semidirect
849. #2992	C₂×C₃₁	semidirect
908. #557	C₂²×C₃₁	semidirect
909. #556	C₂²×C₃₁	semidirect
919. D₄×Q₈	C₂²×C₃₁	semidirect
920. D₄×Q₈	C₂²×C₃₁	semidirect
922. #548	C₂²×C₃₁	semidirect
924. #547	C₂²×C₃₁	semidirect
932. #541	C₂²×C₃₁	semidirect
933. #541	C₂²×C₃₁	semidirect
939. #536	C₂²×C₃₁	semidirect
940. #536	C₂²×C₃₁	semidirect
941. C₂×C₄⋊Q₈	C₂²×C₃₁	semidirect
944. #529	C₂²×C₃₁	semidirect
950. #497	C₂²×C₃₁	semidirect
951. #497	C₂²×C₃₁	semidirect
952. #497	C₂²×C₃₁	semidirect
954. #495	C₂²×C₃₁	semidirect
956. #491	C₂²×C₃₁	semidirect
957. #491	C₂²×C₃₁	semidirect
958. #491	C₂²×C₃₁	semidirect
959. #489	C₂²×C₃₁	semidirect
960. #488	C₂²×C₃₁	semidirect
961. #487	C₂²×C₃₁	semidirect
962. #485	C₂²×C₃₁	semidirect
963. #485	C₂²×C₃₁	semidirect
964. #484	C₂²×C₃₁	semidirect
965. #483	C₂²×C₃₁	semidirect
966. #483	C₂²×C₃₁	semidirect
967. #480	C₂²×C₃₁	semidirect
968. #479	C₂²×C₃₁	semidirect
969. #479	C₂²×C₃₁	semidirect
970. #479	C₂²×C₃₁	semidirect
971. #479	C₂²×C₃₁	semidirect
973. #478	C₂²×C₃₁	semidirect
974. #478	C₂²×C₃₁	semidirect
975. #478	C₂²×C₃₁	semidirect
976. #477	C₂²×C₃₁	semidirect
977. #475	C₂²×C₃₁	semidirect
978. #470	C₂²×C₃₁	semidirect
980. #468	C₂²×C₃₁	semidirect
981. #468	C₂²×C₃₁	semidirect
982. #467	C₂²×C₃₁	semidirect
983. #467	C₂²×C₃₁	semidirect
987. #465	C₂²×C₃₁	semidirect
988. #465	C₂²×C₃₁	semidirect
989. #465	C₂²×C₃₁	semidirect
990. #464	C₂²×C₃₁	semidirect
991. #464	C₂²×C₃₁	semidirect
992. #464	C₂²×C₃₁	semidirect
993. #464	C₂²×C₃₁	semidirect
994. #464	C₂²×C₃₁	semidirect
998. #463	C₂²×C₃₁	semidirect
999. #463	C₂²×C₃₁	semidirect
1000. #463	C₂²×C₃₁	semidirect
1001. #463	C₂²×C₃₁	semidirect
1002. #462	C₂²×C₃₁	semidirect
1003. #462	C₂²×C₃₁	semidirect
1004. #462	C₂²×C₃₁	semidirect
1011. #461	C₂²×C₃₁	semidirect
1012. #461	C₂²×C₃₁	semidirect
1013. #461	C₂²×C₃₁	semidirect
1014. #461	C₂²×C₃₁	semidirect
1015. #461	C₂²×C₃₁	semidirect
1016. #461	C₂²×C₃₁	semidirect
1017. #461	C₂²×C₃₁	semidirect
1022. #452	C₂²×C₃₁	semidirect
1023. #451	C₂²×C₃₁	semidirect
1024. #451	C₂²×C₃₁	semidirect
1025. #451	C₂²×C₃₁	semidirect
1030. #449	C₂²×C₃₁	semidirect
1031. #449	C₂²×C₃₁	semidirect
1035. #448	C₂²×C₃₁	semidirect
1036. #448	C₂²×C₃₁	semidirect
1038. #446	C₂²×C₃₁	semidirect
1039. #446	C₂²×C₃₁	semidirect
1041. #442	C₂²×C₃₁	semidirect
1042. #441	C₂²×C₃₁	semidirect
1046. #440	C₂²×C₃₁	semidirect
1047. #440	C₂²×C₃₁	semidirect
1048. C₄×Q₁₆	C₂²×C₃₁	semidirect
1051. C₄×SD₁₆	C₂²×C₃₁	semidirect
1053. #435	C₂²×C₃₁	semidirect
1054. #435	C₂²×C₃₁	semidirect
1055. #435	C₂²×C₃₁	semidirect
1057. C₈×D₄	C₂²×C₃₁	semidirect
1058. #433	C₂²×C₃₁	semidirect
1059. #433	C₂²×C₃₁	semidirect
1060. #432	C₂²×C₃₁	semidirect
1061. #424	C₂²×C₃₁	semidirect
1062. #424	C₂²×C₃₁	semidirect
1063. C₂×C₄⋊C₈	C₂²×C₃₁	semidirect
1064. #419	C₂²×C₃₁	semidirect
1065. #417	C₂²×C₃₁	semidirect
1066. #416	C₂²×C₃₁	semidirect
1067. C₂×#103	C₂²×C₃₁	semidirect
1068. C₂×#103	C₂²×C₃₁	semidirect
1069. C₂×#103	C₂²×C₃₁	semidirect
1361. C₃₁	#62008	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×#3552	2
C₃₁×#3513	2
C₃₁×#3401	2
C₃₁×#3400	2
C₃₁×#3376	2
C₃₁×#3372	2
C₃₁×#3320	2
C₃₁×#3312	2
C₃₁×#3308	2
C₃₁×#3307	2
C₃₁×#3300	2
C₃₁×#3298	2
C₃₁×#3282	2
D₄×SD₁₆×C₃₁	2
C₃₁×#3267	2
C₃₁×#3266	2
C₃₁×#3265	2
C₃₁×#3260	2
C₃₁×#3258	2
C₃₁×#3250	2
C₃₁×#3225	2
C₃₁×#3221	2
C₃₁×#3218	2
C₃₁×#3123	2
C₃₁×#3120	2
C₃₁×#3114	2
C₃₁×#3046	2
C₃₁×#3042	2
C₂×C₃₁×#461	2
C₃₁×#2992	2
#62008	31

Subgroups — C31×#62008 #21518767

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#62008 #21518767