Subgroups — C₃₁×#61454 #21518213

Order 7936.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3481	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3475	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3401	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3389	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3347	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3344	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3337	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3319	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3314	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3310	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3307	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3297	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3296	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3280	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3267	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3183	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3181	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3180	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3115	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3114	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3114	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3111	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3111	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3110	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#2970	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₃₁×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃₁×#2943	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₃₁×#442	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
33	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic
34	C₂²×D₈×C₃₁	C₂²	1	1	yes	characteristic
35	C₃₁×#559	C₂²	1	1	yes	characteristic, complemented
36	C₃₁×#556	C₂²	1	1	yes	characteristic, complemented
37	C₃₁×#555	C₂²	1	1	yes	characteristic, complemented
38	C₃₁×#554	C₂²	1	1	yes	characteristic
39	C₃₁×#554	C₂²	1	1	yes	characteristic, complemented
40	C₃₁×#554	C₂²	1	1	yes	characteristic, complemented
41	C₃₁×#553	—	2	1	no	—
42	C₃₁×#553	—	2	1	no	—
43	C₃₁×#553	C₂²	1	1	yes	characteristic
44	C₃₁×#553	C₂²	1	1	yes	characteristic, complemented
45	C₃₁×#552	—	2	1	no	—
46	C₃₁×#552	C₂²	1	1	yes	characteristic
47	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
48	C₃₁×#551	—	2	1	no	—
49	C₃₁×#551	—	2	1	no	—
50	C₃₁×#551	—	2	1	no	—
51	C₃₁×#551	—	2	1	no	—
52	C₃₁×#547	C₂²	1	1	yes	characteristic, complemented
53	C₃₁×#546	—	2	1	no	—
54	C₃₁×#546	C₂²	1	1	yes	characteristic
55	C₃₁×#546	C₂²	1	1	yes	characteristic
56	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
57	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
58	D₄²×C₃₁	C₂²	1	1	yes	characteristic
59	C₃₁×#533	C₂²	1	1	yes	characteristic, complemented
60	C₃₁×#532	C₂²	1	1	yes	characteristic, complemented
61	C₃₁×#529	—	2	1	no	—
62	C₃₁×#529	—	2	1	no	—
63	C₃₁×#529	—	2	1	no	—
64	C₃₁×#529	C₂²	1	1	yes	characteristic
65	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
66	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
67	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
68	C₃₁×#525	—	2	1	no	—
69	C₃₁×#525	—	2	1	no	—
70	C₃₁×#525	—	2	1	no	—
71	C₄×#41×C₃₁	C₂²	1	1	yes	characteristic
72	C₄×#41×C₃₁	C₂²	1	1	yes	characteristic, complemented
73	C₄×#41×C₃₁	C₂²	1	1	yes	characteristic, complemented
74	C₄×#41×C₃₁	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₄×D₄×C₃₁	—	2	1	no	—
76	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
77	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
78	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₃₁×#117	—	2	1	no	—
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×#496	C₂²	1	1	yes	characteristic
85	C₃₁×#495	C₂²	1	1	yes	characteristic, complemented
86	C₃₁×#491	C₂²	1	1	yes	characteristic, complemented
87	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
88	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
89	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
90	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
91	C₃₁×#488	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×#484	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×#482	C₂²	1	1	yes	characteristic, complemented
99	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
100	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
101	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
102	C₃₁×#480	C₂²	1	1	yes	characteristic
103	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
104	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
105	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
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×#478	C₂²	1	1	yes	characteristic, complemented
110	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
111	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#475	C₂²	1	1	yes	characteristic, complemented
113	C₃₁×#474	C₂²	1	1	yes	characteristic, complemented
114	C₃₁×#474	C₂²	1	1	yes	characteristic, complemented
115	C₃₁×#474	C₂²	1	1	yes	characteristic, complemented
116	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
117	C₃₁×#469	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×#466	C₂²	1	1	yes	characteristic, complemented
123	C₃₁×#466	C₂²	1	1	yes	characteristic, complemented
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×#463	C₂²	1	1	yes	characteristic
131	C₃₁×#463	C₂²	1	1	yes	characteristic
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×#463	C₂²	1	1	yes	characteristic, complemented
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, complemented
139	C₃₁×#459	C₂²	1	1	yes	characteristic
140	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
141	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
142	C₃₁×#450	C₂²	1	1	yes	characteristic
143	C₃₁×#450	C₂²	1	1	yes	characteristic
144	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
145	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
146	C₃₁×#449	C₂²	1	1	yes	characteristic
147	C₃₁×#449	C₂²	1	1	yes	characteristic
148	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
149	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
150	C₃₁×#447	C₂²	1	1	yes	characteristic
151	C₃₁×#447	C₂²	1	1	yes	characteristic
152	C₃₁×#446	C₂²	1	1	yes	characteristic, complemented
153	C₃₁×#446	C₂²	1	1	yes	characteristic, complemented
154	C₃₁×#442	C₂²	1	1	yes	characteristic
155	C₃₁×#442	C₂²	1	1	yes	characteristic
156	C₃₁×#442	C₂²	1	1	yes	characteristic
157	C₃₁×#442	C₂²	1	1	yes	characteristic
158	C₃₁×#442	C₂²	1	1	yes	characteristic
159	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
160	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
161	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
162	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
163	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
164	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
165	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
166	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
167	C₃₁×#441	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	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
171	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
172	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
173	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
174	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
175	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
176	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
177	C₃₁×#440	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×D₈×C₃₁	C₂²	1	1	yes	characteristic
181	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
182	C₃₁×#435	C₂²	1	1	yes	characteristic
183	C₃₁×#435	C₂²	1	1	yes	characteristic
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, complemented
187	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
188	C₃₁×#432	C₂²	1	1	yes	characteristic, complemented
189	C₃₁×#432	C₂²	1	1	yes	characteristic, complemented
190	C₃₁×#432	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×#106	C₂²	1	1	yes	characteristic, complemented
194	C₃₁×#418	C₂²	1	1	yes	characteristic, complemented
195	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
196	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
197	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₃₁×#102	C₂²	1	1	yes	characteristic
199	C₂×C₃₁×#102	C₂²	1	1	yes	characteristic, complemented
200	C₄×M₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₃₁×#97	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	D₄	1	1	yes	characteristic
205	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
206	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
207	C₂×#41×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	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₃₁	—	2	1	no	—
213	C₂³×C₄×C₃₁	—	2	1	no	—
214	C₂³×C₄×C₃₁	—	2	1	no	—
215	C₃₁×AGL(1,ℤ/8)	—	2	4	no	—
216	C₃₁×#135	—	2	4	no	—
217	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
218	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
224	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
226	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
227	C₂×D₈×C₃₁	—	2	4	no	—
228	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
229	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
230	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
231	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
232	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
233	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
234	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
235	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
236	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
237	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
238	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
240	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₃₁×#127	C₂³	1	1	yes	characteristic
244	C₃₁×#126	—	2	1	no	—
245	C₃₁×#126	—	2	1	no	—
246	C₃₁×#126	—	2	1	no	—
247	C₃₁×#126	—	2	1	no	—
248	C₃₁×#126	—	2	1	no	—
249	C₃₁×#126	—	2	1	no	—
250	C₃₁×#126	—	2	1	no	—
251	C₃₁×#126	—	2	1	no	—
252	C₃₁×#126	—	2	1	no	—
253	C₃₁×#126	—	2	1	no	—
254	C₃₁×#125	—	2	1	no	—
255	C₃₁×#125	—	2	1	no	—
256	C₃₁×#125	—	2	1	no	—
257	C₃₁×#125	—	2	1	no	—
258	C₃₁×#125	C₂³	1	1	yes	characteristic
259	C₃₁×#125	C₂³	1	1	yes	characteristic
260	C₃₁×#125	C₂³	1	1	yes	characteristic
261	C₃₁×#125	C₂³	1	1	yes	characteristic
262	C₃₁×#124	—	2	1	no	—
263	C₃₁×#124	—	2	1	no	—
264	C₃₁×#124	—	2	1	no	—
265	C₃₁×#124	—	2	1	no	—
266	C₃₁×#124	C₂³	1	1	yes	characteristic
267	C₃₁×#124	C₂³	1	1	yes	characteristic
268	C₃₁×#124	C₂³	1	1	yes	characteristic
269	C₃₁×#124	C₂³	1	1	yes	characteristic
270	C₃₁×#123	—	2	1	no	—
271	C₃₁×#123	—	2	1	no	—
272	C₃₁×#123	—	2	1	no	—
273	C₃₁×#123	—	2	1	no	—
274	C₃₁×#123	—	2	1	no	—
275	C₃₁×#123	—	2	1	no	—
276	C₃₁×#123	—	2	1	no	—
277	C₃₁×#123	—	2	1	no	—
278	C₃₁×#123	—	2	1	no	—
279	C₃₁×#123	—	2	1	no	—
280	C₃₁×#123	—	2	1	no	—
281	C₃₁×#123	—	2	1	no	—
282	C₃₁×#123	—	2	1	no	—
283	C₃₁×#123	—	2	1	no	—
284	C₃₁×#123	—	2	1	no	—
285	C₃₁×#123	—	2	1	no	—
286	C₃₁×C₂²⋊Q₈	—	2	1	no	—
287	C₃₁×C₂²⋊Q₈	—	2	1	no	—
288	C₃₁×C₂²⋊Q₈	—	2	1	no	—
289	C₃₁×C₂²⋊Q₈	—	2	1	no	—
290	C₃₁×C₂²⋊Q₈	—	2	1	no	—
291	C₃₁×C₂²⋊Q₈	—	2	1	no	—
292	C₃₁×C₂²⋊Q₈	—	2	1	no	—
293	C₃₁×C₂²⋊Q₈	—	2	1	no	—
294	C₃₁×C₂²⋊Q₈	—	2	1	no	—
295	C₃₁×C₂²⋊Q₈	—	2	1	no	—
296	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
297	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
298	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
299	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
300	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
301	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
302	C₃₁×#121	—	2	1	no	—
303	C₃₁×#121	—	2	1	no	—
304	C₃₁×#121	—	2	1	no	—
305	C₃₁×#121	—	2	1	no	—
306	C₃₁×#121	—	2	1	no	—
307	C₃₁×#121	—	2	1	no	—
308	C₃₁×#121	—	2	1	no	—
309	C₃₁×#121	—	2	1	no	—
310	C₃₁×#121	—	2	1	no	—
311	C₃₁×#121	—	2	1	no	—
312	C₃₁×#121	C₂³	1	1	yes	characteristic
313	C₃₁×#121	C₂³	1	1	yes	characteristic
314	C₃₁×#121	C₂³	1	1	yes	characteristic
315	C₃₁×#121	C₂³	1	1	yes	characteristic
316	C₃₁×#121	C₂³	1	1	yes	characteristic
317	C₃₁×#121	C₂³	1	1	yes	characteristic
318	C₃₁×#120	—	2	1	no	—
319	C₃₁×#120	—	2	1	no	—
320	C₃₁×#120	—	2	1	no	—
321	C₃₁×#120	—	2	1	no	—
322	C₃₁×#120	—	2	1	no	—
323	C₃₁×#120	—	2	1	no	—
324	C₄×Q₈×C₃₁	—	2	1	no	—
325	C₄×Q₈×C₃₁	D₄	1	1	yes	characteristic
326	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
327	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
328	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
329	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
330	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
331	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
332	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
333	C₄×D₄×C₃₁	—	2	1	no	—
334	C₄×D₄×C₃₁	—	2	1	no	—
335	C₄×D₄×C₃₁	—	2	1	no	—
336	C₄×D₄×C₃₁	—	2	1	no	—
337	C₄×D₄×C₃₁	—	2	1	no	—
338	C₄×D₄×C₃₁	—	2	1	no	—
339	C₄×D₄×C₃₁	—	2	1	no	—
340	C₄×D₄×C₃₁	—	2	1	no	—
341	C₄×D₄×C₃₁	—	2	1	no	—
342	C₄×D₄×C₃₁	—	2	1	no	—
343	C₄×D₄×C₃₁	—	2	1	no	—
344	C₄×D₄×C₃₁	—	2	1	no	—
345	C₄×D₄×C₃₁	—	2	1	no	—
346	C₄×D₄×C₃₁	—	2	1	no	—
347	C₄×D₄×C₃₁	—	2	1	no	—
348	C₄×D₄×C₃₁	—	2	1	no	—
349	C₄×D₄×C₃₁	—	2	1	no	—
350	C₄×D₄×C₃₁	—	2	1	no	—
351	C₄×D₄×C₃₁	—	2	1	no	—
352	C₄×D₄×C₃₁	—	2	1	no	—
353	C₄×D₄×C₃₁	—	2	1	no	—
354	C₄×D₄×C₃₁	D₄	1	1	yes	characteristic
355	C₄×D₄×C₃₁	D₄	1	1	yes	characteristic
356	C₄×D₄×C₃₁	D₄	1	1	yes	characteristic
357	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
358	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
359	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
360	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
361	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
362	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
363	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
364	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
374	C₃₁×#117	—	2	1	no	—
375	C₃₁×#117	—	2	1	no	—
376	C₃₁×#117	—	2	1	no	—
377	C₃₁×#117	—	2	1	no	—
378	C₃₁×#117	—	2	1	no	—
379	C₃₁×#117	—	2	1	no	—
380	C₃₁×#117	—	2	1	no	—
381	C₃₁×#117	—	2	1	no	—
382	C₃₁×#117	—	2	1	no	—
383	C₃₁×#117	—	2	1	no	—
384	C₃₁×#117	—	2	1	no	—
385	C₃₁×#117	—	2	1	no	—
386	C₃₁×#117	D₄	1	1	yes	characteristic
387	C₃₁×#117	D₄	1	1	yes	characteristic
388	C₃₁×#117	D₄	1	1	yes	characteristic
389	C₃₁×#117	C₂³	1	1	yes	characteristic
390	C₃₁×#117	C₂³	1	1	yes	characteristic
391	C₃₁×#117	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
393	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
394	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
395	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
396	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
397	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
398	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
399	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
400	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
401	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
402	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
403	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
404	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
405	C₂×C₄²×C₃₁	—	2	1	no	—
406	C₂×C₄²×C₃₁	—	2	1	no	—
407	C₂×C₄²×C₃₁	—	2	1	no	—
408	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
409	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
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×#102	C₂³	1	1	yes	characteristic
446	C₃₁×#102	C₂³	1	1	yes	characteristic
447	C₃₁×#102	C₂³	1	1	yes	characteristic
448	C₃₁×#102	C₂³	1	1	yes	characteristic
449	C₃₁×#102	C₂³	1	1	yes	characteristic
450	C₃₁×#102	C₂³	1	1	yes	characteristic
451	C₃₁×#102	C₂³	1	1	yes	characteristic
452	C₃₁×#102	C₂³	1	1	yes	characteristic
453	C₃₁×#102	C₂³	1	1	yes	characteristic
454	C₃₁×#102	C₂³	1	1	yes	characteristic
455	C₃₁×#102	C₂³	1	1	yes	characteristic
456	C₃₁×#102	C₂³	1	1	yes	characteristic
457	C₃₁×#102	C₂³	1	1	yes	characteristic
458	C₃₁×#102	C₂³	1	1	yes	characteristic
459	C₃₁×#102	C₂³	1	1	yes	characteristic
460	C₃₁×#102	C₂³	1	1	yes	characteristic
461	C₃₁×#102	C₂³	1	1	yes	characteristic
462	C₃₁×#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	C₃₁×#97	C₂³	1	1	yes	characteristic
478	C₃₁×#97	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	C₂⁴×C₃₁	—	2	1	no	—
484	#41×C₃₁	—	2	2	no	—
485	#41×C₃₁	—	2	2	no	—
486	#41×C₃₁	—	2	2	no	—
487	#41×C₃₁	—	4	2	no	—
488	#41×C₃₁	—	4	1	no	—
489	#41×C₃₁	—	4	1	no	—
490	#41×C₃₁	—	4	1	no	—
491	#41×C₃₁	—	8	2	no	—
492	C₂×Q₈×C₃₁	—	2	1	no	—
493	C₂×Q₈×C₃₁	—	2	1	no	—
494	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
495	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₃₁	—	2	2	no	—
499	C₂×D₄×C₃₁	—	2	2	no	—
500	C₂×D₄×C₃₁	—	2	2	no	—
501	C₂×D₄×C₃₁	—	2	1	no	—
502	C₂×D₄×C₃₁	—	2	1	no	—
503	C₂×D₄×C₃₁	—	2	1	no	—
504	C₂×D₄×C₃₁	—	2	1	no	—
505	C₂×D₄×C₃₁	—	2	1	no	—
506	C₂×D₄×C₃₁	—	2	1	no	—
507	C₂×D₄×C₃₁	—	2	1	no	—
508	C₂×D₄×C₃₁	—	2	1	no	—
509	C₂×D₄×C₃₁	—	2	1	no	—
510	C₂×D₄×C₃₁	—	2	1	no	—
511	C₂×D₄×C₃₁	—	2	1	no	—
512	C₂×D₄×C₃₁	—	2	1	no	—
513	C₂×D₄×C₃₁	—	2	1	no	—
514	C₂×D₄×C₃₁	—	2	1	no	—
515	C₂×D₄×C₃₁	—	4	1	no	—
516	C₂×D₄×C₃₁	—	4	1	no	—
517	C₂×D₄×C₃₁	—	4	1	no	—
518	C₂×D₄×C₃₁	—	4	4	no	—
519	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
520	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
521	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
522	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
523	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
524	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
525	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
526	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	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	—	4	4	no	—
548	C₂²×C₄×C₃₁	—	8	2	no	—
549	C₂²×C₄×C₃₁	—	8	2	no	—
550	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
551	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
552	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
553	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
554	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
555	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
556	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
559	Q₁₆×C₃₁	—	2	2	no	—
560	Q₁₆×C₃₁	—	4	1	no	—
561	SD₁₆×C₃₁	—	2	2	no	—
562	SD₁₆×C₃₁	—	2	2	no	—
563	SD₁₆×C₃₁	—	2	2	no	—
564	SD₁₆×C₃₁	—	2	2	no	—
565	SD₁₆×C₃₁	—	4	1	no	—
566	SD₁₆×C₃₁	—	4	1	no	—
567	SD₁₆×C₃₁	—	4	1	no	—
568	SD₁₆×C₃₁	—	4	1	no	—
569	D₈×C₃₁	—	2	2	no	—
570	D₈×C₃₁	—	2	2	no	—
571	D₈×C₃₁	—	2	2	no	—
572	D₈×C₃₁	—	2	2	no	—
573	D₈×C₃₁	—	4	1	no	—
574	D₈×C₃₁	#41	1	4	yes	complemented
575	M₁₆×C₃₁	—	2	2	no	—
576	M₁₆×C₃₁	—	4	1	no	—
577	C₂×C₈×C₃₁	—	2	2	no	—
578	C₂×C₈×C₃₁	—	2	2	no	—
579	C₂×C₈×C₃₁	—	4	1	no	—
580	C₂×C₈×C₃₁	—	4	1	no	—
581	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
582	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
585	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
586	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
587	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
588	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
614	C₄⋊C₄×C₃₁	—	2	1	no	—
615	C₄⋊C₄×C₃₁	—	2	1	no	—
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	C₂⁴	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	C₂²⋊C₄×C₃₁	—	2	1	no	—
631	C₂²⋊C₄×C₃₁	—	2	1	no	—
632	C₂²⋊C₄×C₃₁	—	2	1	no	—
633	C₂²⋊C₄×C₃₁	—	2	1	no	—
634	C₂²⋊C₄×C₃₁	—	2	1	no	—
635	C₂²⋊C₄×C₃₁	—	2	1	no	—
636	C₂²⋊C₄×C₃₁	—	2	1	no	—
637	C₂²⋊C₄×C₃₁	—	2	1	no	—
638	C₂²⋊C₄×C₃₁	—	2	1	no	—
639	C₂²⋊C₄×C₃₁	—	2	1	no	—
640	C₂²⋊C₄×C₃₁	—	2	1	no	—
641	C₂²⋊C₄×C₃₁	—	2	1	no	—
642	C₂²⋊C₄×C₃₁	—	2	1	no	—
643	C₂²⋊C₄×C₃₁	—	2	1	no	—
644	C₂²⋊C₄×C₃₁	—	2	1	no	—
645	C₂²⋊C₄×C₃₁	—	2	1	no	—
646	C₂²⋊C₄×C₃₁	—	2	1	no	—
647	C₂²⋊C₄×C₃₁	—	2	1	no	—
648	C₂²⋊C₄×C₃₁	—	2	1	no	—
649	C₂²⋊C₄×C₃₁	—	2	1	no	—
650	C₂²⋊C₄×C₃₁	—	2	1	no	—
651	C₂²⋊C₄×C₃₁	—	2	1	no	—
652	C₂²⋊C₄×C₃₁	—	2	1	no	—
653	C₂²⋊C₄×C₃₁	—	2	1	no	—
654	C₂²⋊C₄×C₃₁	—	2	1	no	—
655	C₂²⋊C₄×C₃₁	—	2	1	no	—
656	C₂²⋊C₄×C₃₁	—	2	1	no	—
657	C₂²⋊C₄×C₃₁	—	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	C₂×D₄	1	1	yes	characteristic
668	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
669	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
670	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
671	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
672	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
683	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
684	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
685	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
686	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
687	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
688	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
689	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
690	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
691	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
692	#61454	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
693	C₂³×C₃₁	—	2	1	no	—
694	C₂³×C₃₁	—	2	1	no	—
695	C₂³×C₃₁	—	2	1	no	—
696	C₂³×C₃₁	—	2	1	no	—
697	C₂³×C₃₁	—	2	1	no	—
698	C₂³×C₃₁	—	4	2	no	—
699	C₂³×C₃₁	—	4	2	no	—
700	C₂³×C₃₁	—	4	2	no	—
701	C₂³×C₃₁	—	4	2	no	—
702	C₂³×C₃₁	—	4	2	no	—
703	C₂³×C₃₁	—	4	2	no	—
704	C₂³×C₃₁	—	8	1	no	—
705	C₂³×C₃₁	—	8	1	no	—
706	C₂³×C₃₁	—	8	1	no	—
707	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
708	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
709	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
710	Q₈×C₃₁	—	2	1	no	—
711	Q₈×C₃₁	—	2	1	no	—
712	Q₈×C₃₁	—	2	1	no	—
713	Q₈×C₃₁	—	2	1	no	—
714	Q₈×C₃₁	—	2	1	no	—
715	Q₈×C₃₁	—	2	1	no	—
716	Q₈×C₃₁	—	4	1	no	—
717	Q₈×C₃₁	—	8	1	no	—
718	Q₈×C₃₁	—	8	1	no	—
719	D₄×C₃₁	—	2	2	no	—
720	D₄×C₃₁	—	2	2	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	—	2	1	no	—
726	D₄×C₃₁	—	2	1	no	—
727	D₄×C₃₁	—	2	1	no	—
728	D₄×C₃₁	—	2	1	no	—
729	D₄×C₃₁	—	4	1	no	—
730	D₄×C₃₁	—	4	2	no	—
731	D₄×C₃₁	—	4	2	no	—
732	D₄×C₃₁	—	4	2	no	—
733	D₄×C₃₁	—	4	2	no	—
734	D₄×C₃₁	—	4	2	no	—
735	D₄×C₃₁	—	4	2	no	—
736	D₄×C₃₁	—	4	2	no	—
737	D₄×C₃₁	—	4	2	no	—
738	D₄×C₃₁	—	4	2	no	—
739	D₄×C₃₁	—	8	1	no	—
740	D₄×C₃₁	—	8	1	no	—
741	D₄×C₃₁	—	8	1	no	—
742	D₄×C₃₁	—	8	1	no	—
743	D₄×C₃₁	—	8	1	no	—
744	D₄×C₃₁	C₂×#41	1	2	yes	—
745	D₄×C₃₁	C₂×#41	1	2	yes	—
746	C₂×C₄×C₃₁	—	2	2	no	—
747	C₂×C₄×C₃₁	—	2	1	no	—
748	C₂×C₄×C₃₁	—	2	1	no	—
749	C₂×C₄×C₃₁	—	2	1	no	—
750	C₂×C₄×C₃₁	—	2	1	no	—
751	C₂×C₄×C₃₁	—	2	1	no	—
752	C₂×C₄×C₃₁	—	2	1	no	—
753	C₂×C₄×C₃₁	—	2	1	no	—
754	C₂×C₄×C₃₁	—	2	1	no	—
755	C₂×C₄×C₃₁	—	2	1	no	—
756	C₂×C₄×C₃₁	—	2	1	no	—
757	C₂×C₄×C₃₁	—	2	1	no	—
758	C₂×C₄×C₃₁	—	2	1	no	—
759	C₂×C₄×C₃₁	—	2	1	no	—
760	C₂×C₄×C₃₁	—	2	1	no	—
761	C₂×C₄×C₃₁	—	2	1	no	—
762	C₂×C₄×C₃₁	—	2	1	no	—
763	C₂×C₄×C₃₁	—	2	1	no	—
764	C₂×C₄×C₃₁	—	4	1	no	—
765	C₂×C₄×C₃₁	—	4	1	no	—
766	C₂×C₄×C₃₁	—	4	1	no	—
767	C₂×C₄×C₃₁	—	4	1	no	—
768	C₂×C₄×C₃₁	—	4	1	no	—
769	C₂×C₄×C₃₁	—	4	2	no	—
770	C₂×C₄×C₃₁	—	4	2	no	—
771	C₂×C₄×C₃₁	—	4	2	no	—
772	C₂×C₄×C₃₁	—	4	2	no	—
773	C₂×C₄×C₃₁	—	4	2	no	—
774	C₂×C₄×C₃₁	—	4	2	no	—
775	C₂×C₄×C₃₁	—	4	2	no	—
776	C₂×C₄×C₃₁	—	4	2	no	—
777	C₂×C₄×C₃₁	—	4	2	no	—
778	C₂×C₄×C₃₁	—	4	2	no	—
779	C₂×C₄×C₃₁	—	4	2	no	—
780	C₂×C₄×C₃₁	—	4	2	no	—
781	C₂×C₄×C₃₁	—	8	1	no	—
782	C₂×C₄×C₃₁	—	8	1	no	—
783	C₂×C₄×C₃₁	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
801	C₈×C₃₁	—	2	1	no	—
802	C₈×C₃₁	—	2	1	no	—
803	C₈×C₃₁	—	2	1	no	—
804	C₈×C₃₁	—	2	1	no	—
805	C₈×C₃₁	—	2	1	no	—
806	C₈×C₃₁	—	2	1	no	—
807	C₈×C₃₁	—	2	1	no	—
808	C₈×C₃₁	C₂×#41	1	2	yes	—
809	#3481	C₂×C₃₁	1	1	yes	characteristic, complemented
810	#3475	C₂×C₃₁	1	1	yes	characteristic, complemented
811	#3401	C₂×C₃₁	1	1	yes	characteristic, complemented
812	#3389	C₂×C₃₁	1	1	yes	characteristic, complemented
813	#3376	C₂×C₃₁	1	1	yes	characteristic, complemented
814	#3370	C₂×C₃₁	1	1	yes	characteristic, complemented
815	#3347	C₂×C₃₁	1	1	yes	characteristic, complemented
816	#3344	C₂×C₃₁	1	1	yes	characteristic, complemented
817	#3337	C₂×C₃₁	1	1	yes	characteristic, complemented
818	#3319	C₂×C₃₁	1	1	yes	characteristic, complemented
819	#3314	C₂×C₃₁	1	1	yes	characteristic, complemented
820	#3310	C₂×C₃₁	1	1	yes	characteristic, complemented
821	#3307	C₂×C₃₁	1	1	yes	characteristic, complemented
822	#3297	C₂×C₃₁	1	1	yes	characteristic, complemented
823	#3296	C₂×C₃₁	1	1	yes	characteristic, complemented
824	#3280	C₂×C₃₁	1	1	yes	characteristic, complemented
825	#3267	C₂×C₃₁	1	1	yes	characteristic, complemented
826	#3264	C₂×C₃₁	1	1	yes	characteristic, complemented
827	#3183	C₂×C₃₁	1	1	yes	characteristic, complemented
828	#3181	C₂×C₃₁	1	1	yes	characteristic, complemented
829	#3180	C₂×C₃₁	1	1	yes	characteristic, complemented
830	#3115	C₂×C₃₁	1	1	yes	characteristic, complemented
831	#3114	C₂×C₃₁	1	1	yes	characteristic, complemented
832	#3114	C₂×C₃₁	1	1	yes	characteristic, complemented
833	#3111	C₂×C₃₁	1	1	yes	characteristic, complemented
834	#3111	C₂×C₃₁	1	1	yes	characteristic, complemented
835	#3110	C₂×C₃₁	1	1	yes	characteristic, complemented
836	#2970	C₂×C₃₁	1	1	yes	characteristic, complemented
837	C₄×AGL(1,ℤ/8)	C₂×C₃₁	1	1	yes	characteristic, complemented
838	#2943	C₂×C₃₁	1	1	yes	characteristic, complemented
839	C₂×#442	C₂×C₃₁	1	1	yes	characteristic, complemented
840	C₂²×C₃₁	—	2	1	no	—
841	C₂²×C₃₁	—	2	1	no	—
842	C₂²×C₃₁	—	2	1	no	—
843	C₂²×C₃₁	—	2	1	no	—
844	C₂²×C₃₁	—	2	1	no	—
845	C₂²×C₃₁	—	2	1	no	—
846	C₂²×C₃₁	—	2	2	no	—
847	C₂²×C₃₁	—	2	2	no	—
848	C₂²×C₃₁	—	2	1	no	—
849	C₂²×C₃₁	—	2	1	no	—
850	C₂²×C₃₁	—	4	1	no	—
851	C₂²×C₃₁	—	4	1	no	—
852	C₂²×C₃₁	—	4	1	no	—
853	C₂²×C₃₁	—	4	1	no	—
854	C₂²×C₃₁	—	4	1	no	—
855	C₂²×C₃₁	—	4	1	no	—
856	C₂²×C₃₁	—	4	1	no	—
857	C₂²×C₃₁	—	4	1	no	—
858	C₂²×C₃₁	—	4	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	—	8	4	no	—
864	C₂²×C₃₁	—	8	4	no	—
865	C₂²×C₃₁	—	8	4	no	—
866	C₂²×C₃₁	#575	1	2	yes	—
867	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
868	C₄×C₃₁	—	2	1	no	—
869	C₄×C₃₁	—	2	1	no	—
870	C₄×C₃₁	—	2	1	no	—
871	C₄×C₃₁	—	2	1	no	—
872	C₄×C₃₁	—	2	1	no	—
873	C₄×C₃₁	—	2	1	no	—
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	—	4	1	no	—
880	C₄×C₃₁	—	4	1	no	—
881	C₄×C₃₁	—	4	1	no	—
882	C₄×C₃₁	—	4	1	no	—
883	C₄×C₃₁	—	4	1	no	—
884	C₄×C₃₁	—	4	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	C₂²×#41	1	1	yes	characteristic
891	C₄×C₃₁	#585	1	1	yes	characteristic
892	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic
893	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic
894	C₂²×D₈	C₂²×C₃₁	1	1	yes	characteristic
895	#559	C₂²×C₃₁	1	1	yes	characteristic, complemented
896	#556	C₂²×C₃₁	1	1	yes	characteristic, complemented
897	#555	C₂²×C₃₁	1	1	yes	characteristic, complemented
898	#554	C₂²×C₃₁	1	1	yes	characteristic
899	#554	C₂²×C₃₁	1	1	yes	characteristic, complemented
900	#554	C₂²×C₃₁	1	1	yes	characteristic, complemented
901	#553	—	2	1	no	—
902	#553	—	2	1	no	—
903	#553	C₂²×C₃₁	1	1	yes	characteristic
904	#553	C₂²×C₃₁	1	1	yes	characteristic, complemented
905	#552	—	2	1	no	—
906	#552	C₂²×C₃₁	1	1	yes	characteristic
907	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
908	#551	—	2	1	no	—
909	#551	—	2	1	no	—
910	#551	—	2	1	no	—
911	#551	—	2	1	no	—
912	#547	C₂²×C₃₁	1	1	yes	characteristic, complemented
913	#546	—	2	1	no	—
914	#546	C₂²×C₃₁	1	1	yes	characteristic
915	#546	C₂²×C₃₁	1	1	yes	characteristic
916	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
917	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
918	D₄²	C₂²×C₃₁	1	1	yes	characteristic
919	#533	C₂²×C₃₁	1	1	yes	characteristic, complemented
920	#532	C₂²×C₃₁	1	1	yes	characteristic, complemented
921	#529	—	2	1	no	—
922	#529	—	2	1	no	—
923	#529	—	2	1	no	—
924	#529	C₂²×C₃₁	1	1	yes	characteristic
925	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
926	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
927	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
928	#525	—	2	1	no	—
929	#525	—	2	1	no	—
930	#525	—	2	1	no	—
931	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic
932	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic, complemented
933	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic, complemented
934	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic, complemented
935	C₂×C₄×D₄	—	2	1	no	—
936	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
937	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
938	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
939	C₂×#117	—	2	1	no	—
940	#501	C₂²×C₃₁	1	1	yes	characteristic, complemented
941	#501	C₂²×C₃₁	1	1	yes	characteristic, complemented
942	#499	C₂²×C₃₁	1	1	yes	characteristic, complemented
943	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
944	#496	C₂²×C₃₁	1	1	yes	characteristic
945	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
946	#491	C₂²×C₃₁	1	1	yes	characteristic, complemented
947	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
948	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
949	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
950	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
951	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
952	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
953	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
954	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
955	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
956	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
957	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
958	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
959	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
960	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
961	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
962	#480	C₂²×C₃₁	1	1	yes	characteristic
963	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
964	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
965	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
966	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
967	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
968	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
969	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
970	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
971	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
972	#475	C₂²×C₃₁	1	1	yes	characteristic, complemented
973	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
974	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
975	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
976	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
977	#469	C₂²×C₃₁	1	1	yes	characteristic
978	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
979	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
980	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
981	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
982	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
983	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
984	#465	C₂²×C₃₁	1	1	yes	characteristic
985	#465	C₂²×C₃₁	1	1	yes	characteristic
986	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
987	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
988	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
989	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
990	#463	C₂²×C₃₁	1	1	yes	characteristic
991	#463	C₂²×C₃₁	1	1	yes	characteristic
992	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
993	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
995	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
996	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
997	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
998	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
999	#459	C₂²×C₃₁	1	1	yes	characteristic
1000	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1001	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1002	#450	C₂²×C₃₁	1	1	yes	characteristic
1003	#450	C₂²×C₃₁	1	1	yes	characteristic
1004	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1005	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1006	#449	C₂²×C₃₁	1	1	yes	characteristic
1007	#449	C₂²×C₃₁	1	1	yes	characteristic
1008	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1009	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1010	#447	C₂²×C₃₁	1	1	yes	characteristic
1011	#447	C₂²×C₃₁	1	1	yes	characteristic
1012	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1013	#446	C₂²×C₃₁	1	1	yes	characteristic, complemented
1014	#442	C₂²×C₃₁	1	1	yes	characteristic
1015	#442	C₂²×C₃₁	1	1	yes	characteristic
1016	#442	C₂²×C₃₁	1	1	yes	characteristic
1017	#442	C₂²×C₃₁	1	1	yes	characteristic
1018	#442	C₂²×C₃₁	1	1	yes	characteristic
1019	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1020	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1021	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1022	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1023	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1027	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1028	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1029	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1030	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1031	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1032	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1033	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1034	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1035	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1036	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1037	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1038	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1039	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1040	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic
1041	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1042	#435	C₂²×C₃₁	1	1	yes	characteristic
1043	#435	C₂²×C₃₁	1	1	yes	characteristic
1044	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1045	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1046	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1048	#432	C₂²×C₃₁	1	1	yes	characteristic, complemented
1049	#432	C₂²×C₃₁	1	1	yes	characteristic, complemented
1050	#432	C₂²×C₃₁	1	1	yes	characteristic, complemented
1051	#428	C₂²×C₃₁	1	1	yes	characteristic, complemented
1052	#427	C₂²×C₃₁	1	1	yes	characteristic, complemented
1053	C₂×#106	C₂²×C₃₁	1	1	yes	characteristic, complemented
1054	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1055	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1056	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1057	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1058	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic
1059	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1060	C₄×M₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1061	C₂×#97	C₂²×C₃₁	1	1	yes	characteristic, complemented
1062	C₂×#97	C₂²×C₃₁	1	1	yes	characteristic, complemented
1063	C₂×C₃₁	—	2	2	no	—
1064	C₂×C₃₁	—	4	1	no	—
1065	C₂×C₃₁	—	4	1	no	—
1066	C₂×C₃₁	—	4	2	no	—
1067	C₂×C₃₁	—	4	2	no	—
1068	C₂×C₃₁	—	8	1	no	—
1069	C₂×C₃₁	—	8	1	no	—
1070	C₂×C₃₁	—	8	1	no	—
1071	C₂×C₃₁	D₄×#41	1	1	yes	characteristic
1072	C₂×C₃₁	C₂×#575	1	1	yes	characteristic
1073	C₂×C₃₁	#3585	1	1	yes	characteristic
1074	C₂×#41	—	2	1	no	—
1075	C₂×#41	D₄×C₃₁	1	1	yes	characteristic
1076	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1077	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1078	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1079	C₂²×D₄	—	2	1	no	—
1080	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1081	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1082	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1083	C₂³×C₄	—	2	1	no	—
1084	C₂³×C₄	—	2	1	no	—
1085	C₂³×C₄	—	2	1	no	—
1086	AGL(1,ℤ/8)	—	2	4	no	—
1087	#135	—	2	4	no	—
1088	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1089	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1090	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1091	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1092	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1093	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1094	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1095	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1096	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1097	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1098	C₂×D₈	—	2	4	no	—
1099	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1100	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1101	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1102	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1103	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1104	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1105	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1106	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1107	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1108	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1109	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1110	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1111	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1112	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1113	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1114	#127	C₂³×C₃₁	1	1	yes	characteristic
1115	#126	—	2	1	no	—
1116	#126	—	2	1	no	—
1117	#126	—	2	1	no	—
1118	#126	—	2	1	no	—
1119	#126	—	2	1	no	—
1120	#126	—	2	1	no	—
1121	#126	—	2	1	no	—
1122	#126	—	2	1	no	—
1123	#126	—	2	1	no	—
1124	#126	—	2	1	no	—
1125	#125	—	2	1	no	—
1126	#125	—	2	1	no	—
1127	#125	—	2	1	no	—
1128	#125	—	2	1	no	—
1129	#125	C₂³×C₃₁	1	1	yes	characteristic
1130	#125	C₂³×C₃₁	1	1	yes	characteristic
1131	#125	C₂³×C₃₁	1	1	yes	characteristic
1132	#125	C₂³×C₃₁	1	1	yes	characteristic
1133	#124	—	2	1	no	—
1134	#124	—	2	1	no	—
1135	#124	—	2	1	no	—
1136	#124	—	2	1	no	—
1137	#124	C₂³×C₃₁	1	1	yes	characteristic
1138	#124	C₂³×C₃₁	1	1	yes	characteristic
1139	#124	C₂³×C₃₁	1	1	yes	characteristic
1140	#124	C₂³×C₃₁	1	1	yes	characteristic
1141	#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	—	2	1	no	—
1147	#123	—	2	1	no	—
1148	#123	—	2	1	no	—
1149	#123	—	2	1	no	—
1150	#123	—	2	1	no	—
1151	#123	—	2	1	no	—
1152	#123	—	2	1	no	—
1153	#123	—	2	1	no	—
1154	#123	—	2	1	no	—
1155	#123	—	2	1	no	—
1156	#123	—	2	1	no	—
1157	C₂²⋊Q₈	—	2	1	no	—
1158	C₂²⋊Q₈	—	2	1	no	—
1159	C₂²⋊Q₈	—	2	1	no	—
1160	C₂²⋊Q₈	—	2	1	no	—
1161	C₂²⋊Q₈	—	2	1	no	—
1162	C₂²⋊Q₈	—	2	1	no	—
1163	C₂²⋊Q₈	—	2	1	no	—
1164	C₂²⋊Q₈	—	2	1	no	—
1165	C₂²⋊Q₈	—	2	1	no	—
1166	C₂²⋊Q₈	—	2	1	no	—
1167	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1168	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1169	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1170	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1171	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1172	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	—	2	1	no	—
1179	#121	—	2	1	no	—
1180	#121	—	2	1	no	—
1181	#121	—	2	1	no	—
1182	#121	—	2	1	no	—
1183	#121	C₂³×C₃₁	1	1	yes	characteristic
1184	#121	C₂³×C₃₁	1	1	yes	characteristic
1185	#121	C₂³×C₃₁	1	1	yes	characteristic
1186	#121	C₂³×C₃₁	1	1	yes	characteristic
1187	#121	C₂³×C₃₁	1	1	yes	characteristic
1188	#121	C₂³×C₃₁	1	1	yes	characteristic
1189	#120	—	2	1	no	—
1190	#120	—	2	1	no	—
1191	#120	—	2	1	no	—
1192	#120	—	2	1	no	—
1193	#120	—	2	1	no	—
1194	#120	—	2	1	no	—
1195	C₄×Q₈	—	2	1	no	—
1196	C₄×Q₈	D₄×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×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
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	—	2	1	no	—
1220	C₄×D₄	—	2	1	no	—
1221	C₄×D₄	—	2	1	no	—
1222	C₄×D₄	—	2	1	no	—
1223	C₄×D₄	—	2	1	no	—
1224	C₄×D₄	—	2	1	no	—
1225	C₄×D₄	D₄×C₃₁	1	1	yes	characteristic
1226	C₄×D₄	D₄×C₃₁	1	1	yes	characteristic
1227	C₄×D₄	D₄×C₃₁	1	1	yes	characteristic
1228	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1229	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1230	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1231	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1232	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1233	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1234	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1235	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1236	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1237	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1238	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1239	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1240	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1241	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1242	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1243	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1244	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1245	#117	—	2	1	no	—
1246	#117	—	2	1	no	—
1247	#117	—	2	1	no	—
1248	#117	—	2	1	no	—
1249	#117	—	2	1	no	—
1250	#117	—	2	1	no	—
1251	#117	—	2	1	no	—
1252	#117	—	2	1	no	—
1253	#117	—	2	1	no	—
1254	#117	—	2	1	no	—
1255	#117	—	2	1	no	—
1256	#117	—	2	1	no	—
1257	#117	D₄×C₃₁	1	1	yes	characteristic
1258	#117	D₄×C₃₁	1	1	yes	characteristic
1259	#117	D₄×C₃₁	1	1	yes	characteristic
1260	#117	C₂³×C₃₁	1	1	yes	characteristic
1261	#117	C₂³×C₃₁	1	1	yes	characteristic
1262	#117	C₂³×C₃₁	1	1	yes	characteristic
1263	C₂×C₄⋊C₄	—	2	1	no	—
1264	C₂×C₄⋊C₄	—	2	1	no	—
1265	C₂×C₄⋊C₄	—	2	1	no	—
1266	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1267	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1268	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1269	C₂×C₂²⋊C₄	—	2	1	no	—
1270	C₂×C₂²⋊C₄	—	2	1	no	—
1271	C₂×C₂²⋊C₄	—	2	1	no	—
1272	C₂×C₂²⋊C₄	—	2	1	no	—
1273	C₂×C₂²⋊C₄	—	2	1	no	—
1274	C₂×C₂²⋊C₄	—	2	1	no	—
1275	C₂×C₂²⋊C₄	—	2	1	no	—
1276	C₂×C₄²	—	2	1	no	—
1277	C₂×C₄²	—	2	1	no	—
1278	C₂×C₄²	—	2	1	no	—
1279	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1280	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1281	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1282	#107	C₂³×C₃₁	1	1	yes	characteristic
1283	#107	C₂³×C₃₁	1	1	yes	characteristic
1284	#107	C₂³×C₃₁	1	1	yes	characteristic
1285	#107	C₂³×C₃₁	1	1	yes	characteristic
1286	#107	C₂³×C₃₁	1	1	yes	characteristic
1287	#107	C₂³×C₃₁	1	1	yes	characteristic
1288	#107	C₂³×C₃₁	1	1	yes	characteristic
1289	#107	C₂³×C₃₁	1	1	yes	characteristic
1290	#106	C₂³×C₃₁	1	1	yes	characteristic
1291	#106	C₂³×C₃₁	1	1	yes	characteristic
1292	#106	C₂³×C₃₁	1	1	yes	characteristic
1293	#106	C₂³×C₃₁	1	1	yes	characteristic
1294	#106	C₂³×C₃₁	1	1	yes	characteristic
1295	#106	C₂³×C₃₁	1	1	yes	characteristic
1296	#106	C₂³×C₃₁	1	1	yes	characteristic
1297	#106	C₂³×C₃₁	1	1	yes	characteristic
1298	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1299	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1300	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1301	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1302	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1303	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1304	#103	C₂³×C₃₁	1	1	yes	characteristic
1305	#103	C₂³×C₃₁	1	1	yes	characteristic
1306	#103	C₂³×C₃₁	1	1	yes	characteristic
1307	#103	C₂³×C₃₁	1	1	yes	characteristic
1308	#103	C₂³×C₃₁	1	1	yes	characteristic
1309	#103	C₂³×C₃₁	1	1	yes	characteristic
1310	#103	C₂³×C₃₁	1	1	yes	characteristic
1311	#103	C₂³×C₃₁	1	1	yes	characteristic
1312	#103	C₂³×C₃₁	1	1	yes	characteristic
1313	#103	C₂³×C₃₁	1	1	yes	characteristic
1314	#103	C₂³×C₃₁	1	1	yes	characteristic
1315	#103	C₂³×C₃₁	1	1	yes	characteristic
1316	#102	C₂³×C₃₁	1	1	yes	characteristic
1317	#102	C₂³×C₃₁	1	1	yes	characteristic
1318	#102	C₂³×C₃₁	1	1	yes	characteristic
1319	#102	C₂³×C₃₁	1	1	yes	characteristic
1320	#102	C₂³×C₃₁	1	1	yes	characteristic
1321	#102	C₂³×C₃₁	1	1	yes	characteristic
1322	#102	C₂³×C₃₁	1	1	yes	characteristic
1323	#102	C₂³×C₃₁	1	1	yes	characteristic
1324	#102	C₂³×C₃₁	1	1	yes	characteristic
1325	#102	C₂³×C₃₁	1	1	yes	characteristic
1326	#102	C₂³×C₃₁	1	1	yes	characteristic
1327	#102	C₂³×C₃₁	1	1	yes	characteristic
1328	#102	C₂³×C₃₁	1	1	yes	characteristic
1329	#102	C₂³×C₃₁	1	1	yes	characteristic
1330	#102	C₂³×C₃₁	1	1	yes	characteristic
1331	#102	C₂³×C₃₁	1	1	yes	characteristic
1332	#102	C₂³×C₃₁	1	1	yes	characteristic
1333	#102	C₂³×C₃₁	1	1	yes	characteristic
1334	#102	C₂³×C₃₁	1	1	yes	characteristic
1335	#102	C₂³×C₃₁	1	1	yes	characteristic
1336	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1337	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1338	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1339	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1340	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1341	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1342	#97	C₂³×C₃₁	1	1	yes	characteristic
1343	#97	C₂³×C₃₁	1	1	yes	characteristic
1344	#97	C₂³×C₃₁	1	1	yes	characteristic
1345	#97	C₂³×C₃₁	1	1	yes	characteristic
1346	#97	C₂³×C₃₁	1	1	yes	characteristic
1347	#97	C₂³×C₃₁	1	1	yes	characteristic
1348	#97	C₂³×C₃₁	1	1	yes	characteristic
1349	#97	C₂³×C₃₁	1	1	yes	characteristic
1350	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1351	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1352	C₃₁	#61454	1	1	yes	characteristic, direct product factor, Sylow
1353	C₂⁴	—	2	1	no	—
1354	C₂⁴	—	2	1	no	—
1355	C₂⁴	—	2	1	no	—
1356	#41	—	2	2	no	—
1357	#41	—	2	2	no	—
1358	#41	—	2	2	no	—
1359	#41	—	4	2	no	—
1360	#41	—	4	1	no	—
1361	#41	—	4	1	no	—
1362	#41	—	4	1	no	—
1363	#41	—	8	2	no	—
1364	C₂×Q₈	—	2	1	no	—
1365	C₂×Q₈	—	2	1	no	—
1366	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1367	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1368	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1369	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1370	C₂×D₄	—	2	2	no	—
1371	C₂×D₄	—	2	2	no	—
1372	C₂×D₄	—	2	2	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	—	2	1	no	—
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	2	1	no	—
1380	C₂×D₄	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	4	1	no	—
1388	C₂×D₄	—	4	1	no	—
1389	C₂×D₄	—	4	1	no	—
1390	C₂×D₄	—	4	4	no	—
1391	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1392	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1393	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1394	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1395	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1396	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1397	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1398	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	—	2	1	no	—
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	2	1	no	—
1409	C₂²×C₄	—	2	1	no	—
1410	C₂²×C₄	—	2	1	no	—
1411	C₂²×C₄	—	2	1	no	—
1412	C₂²×C₄	—	2	1	no	—
1413	C₂²×C₄	—	2	1	no	—
1414	C₂²×C₄	—	2	1	no	—
1415	C₂²×C₄	—	2	1	no	—
1416	C₂²×C₄	—	2	1	no	—
1417	C₂²×C₄	—	2	1	no	—
1418	C₂²×C₄	—	2	1	no	—
1419	C₂²×C₄	—	4	4	no	—
1420	C₂²×C₄	—	8	2	no	—
1421	C₂²×C₄	—	8	2	no	—
1422	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1423	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1424	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1425	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1426	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1427	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1428	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1429	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1430	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1431	Q₁₆	—	2	2	no	—
1432	Q₁₆	—	4	1	no	—
1433	SD₁₆	—	2	2	no	—
1434	SD₁₆	—	2	2	no	—
1435	SD₁₆	—	2	2	no	—
1436	SD₁₆	—	2	2	no	—
1437	SD₁₆	—	4	1	no	—
1438	SD₁₆	—	4	1	no	—
1439	SD₁₆	—	4	1	no	—
1440	SD₁₆	—	4	1	no	—
1441	D₈	—	2	2	no	—
1442	D₈	—	2	2	no	—
1443	D₈	—	2	2	no	—
1444	D₈	—	2	2	no	—
1445	D₈	—	4	1	no	—
1446	D₈	#41×C₃₁	1	4	yes	complemented
1447	M₁₆	—	2	2	no	—
1448	M₁₆	—	4	1	no	—
1449	C₂×C₈	—	2	2	no	—
1450	C₂×C₈	—	2	2	no	—
1451	C₂×C₈	—	4	1	no	—
1452	C₂×C₈	—	4	1	no	—
1453	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1454	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1455	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1456	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1457	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1458	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1459	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1460	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₃₁	1	1	yes	characteristic
1489	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1490	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1494	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1495	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1496	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1497	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1498	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1499	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1500	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1501	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₃₁	1	1	yes	characteristic
1540	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1541	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1542	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1543	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1544	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1545	C₄²	—	2	1	no	—
1546	C₄²	—	2	1	no	—
1547	C₄²	—	2	1	no	—
1548	C₄²	—	2	1	no	—
1549	C₄²	—	2	1	no	—
1550	C₄²	—	2	1	no	—
1551	C₄²	—	2	1	no	—
1552	C₄²	—	2	1	no	—
1553	C₄²	—	2	1	no	—
1554	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1555	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1556	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1557	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1558	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1559	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1560	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1561	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1562	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1563	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1564	C₂³	—	2	1	no	—
1565	C₂³	—	2	1	no	—
1566	C₂³	—	2	1	no	—
1567	C₂³	—	2	1	no	—
1568	C₂³	—	2	1	no	—
1569	C₂³	—	4	2	no	—
1570	C₂³	—	4	2	no	—
1571	C₂³	—	4	2	no	—
1572	C₂³	—	4	2	no	—
1573	C₂³	—	4	2	no	—
1574	C₂³	—	4	2	no	—
1575	C₂³	—	8	1	no	—
1576	C₂³	—	8	1	no	—
1577	C₂³	—	8	1	no	—
1578	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1579	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1580	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1581	Q₈	—	2	1	no	—
1582	Q₈	—	2	1	no	—
1583	Q₈	—	2	1	no	—
1584	Q₈	—	2	1	no	—
1585	Q₈	—	2	1	no	—
1586	Q₈	—	2	1	no	—
1587	Q₈	—	4	1	no	—
1588	Q₈	—	8	1	no	—
1589	Q₈	—	8	1	no	—
1590	D₄	—	2	2	no	—
1591	D₄	—	2	2	no	—
1592	D₄	—	2	1	no	—
1593	D₄	—	2	1	no	—
1594	D₄	—	2	1	no	—
1595	D₄	—	2	1	no	—
1596	D₄	—	2	1	no	—
1597	D₄	—	2	1	no	—
1598	D₄	—	2	1	no	—
1599	D₄	—	2	1	no	—
1600	D₄	—	4	1	no	—
1601	D₄	—	4	2	no	—
1602	D₄	—	4	2	no	—
1603	D₄	—	4	2	no	—
1604	D₄	—	4	2	no	—
1605	D₄	—	4	2	no	—
1606	D₄	—	4	2	no	—
1607	D₄	—	4	2	no	—
1608	D₄	—	4	2	no	—
1609	D₄	—	4	2	no	—
1610	D₄	—	8	1	no	—
1611	D₄	—	8	1	no	—
1612	D₄	—	8	1	no	—
1613	D₄	—	8	1	no	—
1614	D₄	—	8	1	no	—
1615	D₄	C₂×#41×C₃₁	1	2	yes	—
1616	D₄	C₂×#41×C₃₁	1	2	yes	—
1617	C₂×C₄	—	2	2	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	2	1	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	4	1	no	—
1636	C₂×C₄	—	4	1	no	—
1637	C₂×C₄	—	4	1	no	—
1638	C₂×C₄	—	4	1	no	—
1639	C₂×C₄	—	4	1	no	—
1640	C₂×C₄	—	4	2	no	—
1641	C₂×C₄	—	4	2	no	—
1642	C₂×C₄	—	4	2	no	—
1643	C₂×C₄	—	4	2	no	—
1644	C₂×C₄	—	4	2	no	—
1645	C₂×C₄	—	4	2	no	—
1646	C₂×C₄	—	4	2	no	—
1647	C₂×C₄	—	4	2	no	—
1648	C₂×C₄	—	4	2	no	—
1649	C₂×C₄	—	4	2	no	—
1650	C₂×C₄	—	4	2	no	—
1651	C₂×C₄	—	4	2	no	—
1652	C₂×C₄	—	8	1	no	—
1653	C₂×C₄	—	8	1	no	—
1654	C₂×C₄	—	8	1	no	—
1655	C₂×C₄	—	8	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	8	1	no	—
1658	C₂×C₄	—	8	1	no	—
1659	C₂×C₄	—	8	1	no	—
1660	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1661	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1662	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1663	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1664	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1665	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1666	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1667	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1668	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1669	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1670	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1671	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1672	C₈	—	2	1	no	—
1673	C₈	—	2	1	no	—
1674	C₈	—	2	1	no	—
1675	C₈	—	2	1	no	—
1676	C₈	—	2	1	no	—
1677	C₈	—	2	1	no	—
1678	C₈	—	2	1	no	—
1679	C₈	C₂×#41×C₃₁	1	2	yes	—
1680	C₂²	—	2	1	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	2	no	—
1685	C₂²	—	2	2	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	2	1	no	—
1688	C₂²	—	2	1	no	—
1689	C₂²	—	2	1	no	—
1690	C₂²	—	4	1	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	4	1	no	—
1697	C₂²	—	4	1	no	—
1698	C₂²	—	4	1	no	—
1699	C₂²	—	4	1	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	8	4	no	—
1704	C₂²	—	8	4	no	—
1705	C₂²	—	8	4	no	—
1706	C₂²	C₃₁×#575	1	2	yes	—
1707	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1708	C₄	—	2	1	no	—
1709	C₄	—	2	1	no	—
1710	C₄	—	2	1	no	—
1711	C₄	—	2	1	no	—
1712	C₄	—	2	1	no	—
1713	C₄	—	2	1	no	—
1714	C₄	—	2	1	no	—
1715	C₄	—	2	1	no	—
1716	C₄	—	2	1	no	—
1717	C₄	—	2	1	no	—
1718	C₄	—	2	1	no	—
1719	C₄	—	4	1	no	—
1720	C₄	—	4	1	no	—
1721	C₄	—	4	1	no	—
1722	C₄	—	4	1	no	—
1723	C₄	—	4	1	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	4	1	no	—
1726	C₄	—	4	1	no	—
1727	C₄	—	4	1	no	—
1728	C₄	—	4	1	no	—
1729	C₄	—	4	1	no	—
1730	C₄	C₂²×#41×C₃₁	1	1	yes	characteristic
1731	C₄	C₃₁×#585	1	1	yes	characteristic
1732	C₂	—	2	2	no	—
1733	C₂	—	4	1	no	—
1734	C₂	—	4	1	no	—
1735	C₂	—	4	2	no	—
1736	C₂	—	4	2	no	—
1737	C₂	—	8	1	no	—
1738	C₂	—	8	1	no	—
1739	C₂	—	8	1	no	—
1740	C₂	D₄×#41×C₃₁	1	1	yes	characteristic
1741	C₂	C₂×C₃₁×#575	1	1	yes	characteristic
1742	C₂	C₃₁×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₁ ◁ C₄×#41×C₃₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3481	C₂	semidirect
2. C₃₁×#3475	C₂	semidirect
3. C₃₁×#3401	C₂	semidirect
4. C₃₁×#3389	C₂	semidirect
5. C₃₁×#3376	C₂	semidirect
6. C₃₁×#3370	C₂	semidirect
7. C₃₁×#3347	C₂	semidirect
8. C₃₁×#3344	C₂	semidirect
9. C₃₁×#3337	C₂	semidirect
10. C₃₁×#3319	C₂	semidirect
11. C₃₁×#3314	C₂	semidirect
12. C₃₁×#3310	C₂	semidirect
13. C₃₁×#3307	C₂	semidirect
14. C₃₁×#3297	C₂	semidirect
15. C₃₁×#3296	C₂	semidirect
16. C₃₁×#3280	C₂	semidirect
17. C₃₁×#3267	C₂	semidirect
18. C₃₁×#3264	C₂	semidirect
19. C₃₁×#3183	C₂	semidirect
20. C₃₁×#3181	C₂	semidirect
21. C₃₁×#3180	C₂	semidirect
22. C₃₁×#3115	C₂	semidirect
23. C₃₁×#3114	C₂	semidirect
24. C₃₁×#3114	C₂	semidirect
25. C₃₁×#3111	C₂	semidirect
26. C₃₁×#3111	C₂	semidirect
27. C₃₁×#3110	C₂	semidirect
28. C₃₁×#2970	C₂	semidirect
29. C₄×C₃₁×AGL(1,ℤ/8)	C₂	semidirect
30. C₃₁×#2943	C₂	semidirect
31. C₂×C₃₁×#442	C₂	semidirect
35. C₃₁×#559	C₂²	semidirect
36. C₃₁×#556	C₂²	semidirect
37. C₃₁×#555	C₂²	semidirect
39. C₃₁×#554	C₂²	semidirect
40. C₃₁×#554	C₂²	semidirect
44. C₃₁×#553	C₂²	semidirect
47. C₃₁×#552	C₂²	semidirect
52. C₃₁×#547	C₂²	semidirect
56. C₃₁×#546	C₂²	semidirect
57. C₃₁×#546	C₂²	semidirect
59. C₃₁×#533	C₂²	semidirect
60. C₃₁×#532	C₂²	semidirect
65. C₃₁×#529	C₂²	semidirect
66. C₃₁×#529	C₂²	semidirect
67. C₃₁×#529	C₂²	semidirect
72. C₄×#41×C₃₁	C₂²	semidirect
73. C₄×#41×C₃₁	C₂²	semidirect
74. C₄×#41×C₃₁	C₂²	semidirect
77. C₂×C₄×D₄×C₃₁	C₂²	semidirect
78. C₂×C₄×D₄×C₃₁	C₂²	semidirect
80. C₃₁×#501	C₂²	semidirect
81. C₃₁×#501	C₂²	semidirect
82. C₃₁×#499	C₂²	semidirect
83. C₃₁×#497	C₂²	semidirect
85. C₃₁×#495	C₂²	semidirect
86. C₃₁×#491	C₂²	semidirect
87. C₃₁×#490	C₂²	semidirect
88. C₃₁×#489	C₂²	semidirect
89. C₃₁×#489	C₂²	semidirect
90. C₃₁×#488	C₂²	semidirect
91. C₃₁×#488	C₂²	semidirect
92. C₃₁×#485	C₂²	semidirect
93. C₃₁×#485	C₂²	semidirect
94. C₃₁×#484	C₂²	semidirect
95. C₃₁×#484	C₂²	semidirect
96. C₃₁×#483	C₂²	semidirect
97. C₃₁×#483	C₂²	semidirect
98. C₃₁×#482	C₂²	semidirect
99. C₃₁×#482	C₂²	semidirect
100. C₃₁×#482	C₂²	semidirect
101. C₃₁×#482	C₂²	semidirect
103. C₃₁×#480	C₂²	semidirect
104. C₃₁×#479	C₂²	semidirect
105. C₃₁×#479	C₂²	semidirect
106. C₃₁×#478	C₂²	semidirect
107. C₃₁×#478	C₂²	semidirect
108. C₃₁×#478	C₂²	semidirect
109. C₃₁×#478	C₂²	semidirect
110. C₃₁×#478	C₂²	semidirect
111. C₃₁×#478	C₂²	semidirect
112. C₃₁×#475	C₂²	semidirect
113. C₃₁×#474	C₂²	semidirect
114. C₃₁×#474	C₂²	semidirect
115. C₃₁×#474	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×#466	C₂²	semidirect
123. C₃₁×#466	C₂²	semidirect
126. C₃₁×#465	C₂²	semidirect
127. C₃₁×#465	C₂²	semidirect
128. C₃₁×#464	C₂²	semidirect
129. C₃₁×#464	C₂²	semidirect
132. C₃₁×#463	C₂²	semidirect
133. C₃₁×#463	C₂²	semidirect
134. C₃₁×#463	C₂²	semidirect
135. C₃₁×#463	C₂²	semidirect
136. C₃₁×#461	C₂²	semidirect
137. C₃₁×#461	C₂²	semidirect
138. C₃₁×#460	C₂²	semidirect
140. C₃₁×#452	C₂²	semidirect
141. C₃₁×#452	C₂²	semidirect
144. C₃₁×#450	C₂²	semidirect
145. C₃₁×#450	C₂²	semidirect
148. C₃₁×#449	C₂²	semidirect
149. C₃₁×#449	C₂²	semidirect
152. C₃₁×#446	C₂²	semidirect
153. C₃₁×#446	C₂²	semidirect
159. C₃₁×#442	C₂²	semidirect
160. C₃₁×#442	C₂²	semidirect
161. C₃₁×#442	C₂²	semidirect
162. C₃₁×#442	C₂²	semidirect
163. C₃₁×#442	C₂²	semidirect
164. C₃₁×#442	C₂²	semidirect
165. C₃₁×#441	C₂²	semidirect
166. C₃₁×#441	C₂²	semidirect
167. C₃₁×#441	C₂²	semidirect
168. C₃₁×#440	C₂²	semidirect
169. C₃₁×#440	C₂²	semidirect
170. C₃₁×#440	C₂²	semidirect
171. C₃₁×#440	C₂²	semidirect
172. C₃₁×#440	C₂²	semidirect
173. C₃₁×#440	C₂²	semidirect
174. C₃₁×#440	C₂²	semidirect
175. C₃₁×#440	C₂²	semidirect
176. C₃₁×#440	C₂²	semidirect
177. C₃₁×#440	C₂²	semidirect
178. C₄×SD₁₆×C₃₁	C₂²	semidirect
179. C₄×SD₁₆×C₃₁	C₂²	semidirect
181. C₄×D₈×C₃₁	C₂²	semidirect
184. C₃₁×#435	C₂²	semidirect
185. C₃₁×#435	C₂²	semidirect
186. C₈×D₄×C₃₁	C₂²	semidirect
187. C₈×D₄×C₃₁	C₂²	semidirect
188. C₃₁×#432	C₂²	semidirect
189. C₃₁×#432	C₂²	semidirect
190. C₃₁×#432	C₂²	semidirect
191. C₃₁×#428	C₂²	semidirect
192. C₃₁×#427	C₂²	semidirect
193. C₂×C₃₁×#106	C₂²	semidirect
194. C₃₁×#418	C₂²	semidirect
195. C₃₁×#417	C₂²	semidirect
196. C₃₁×#416	C₂²	semidirect
197. C₃₁×#416	C₂²	semidirect
199. C₂×C₃₁×#102	C₂²	semidirect
200. C₄×M₁₆×C₃₁	C₂²	semidirect
201. C₂×C₃₁×#97	C₂²	semidirect
202. C₂×C₃₁×#97	C₂²	semidirect
574. D₈×C₃₁	#41	semidirect
692. #61454	C₃₁	direct (N × H)
809. #3481	C₂×C₃₁	semidirect
810. #3475	C₂×C₃₁	semidirect
811. #3401	C₂×C₃₁	semidirect
812. #3389	C₂×C₃₁	semidirect
813. #3376	C₂×C₃₁	semidirect
814. #3370	C₂×C₃₁	semidirect
815. #3347	C₂×C₃₁	semidirect
816. #3344	C₂×C₃₁	semidirect
817. #3337	C₂×C₃₁	semidirect
818. #3319	C₂×C₃₁	semidirect
819. #3314	C₂×C₃₁	semidirect
820. #3310	C₂×C₃₁	semidirect
821. #3307	C₂×C₃₁	semidirect
822. #3297	C₂×C₃₁	semidirect
823. #3296	C₂×C₃₁	semidirect
824. #3280	C₂×C₃₁	semidirect
825. #3267	C₂×C₃₁	semidirect
826. #3264	C₂×C₃₁	semidirect
827. #3183	C₂×C₃₁	semidirect
828. #3181	C₂×C₃₁	semidirect
829. #3180	C₂×C₃₁	semidirect
830. #3115	C₂×C₃₁	semidirect
831. #3114	C₂×C₃₁	semidirect
832. #3114	C₂×C₃₁	semidirect
833. #3111	C₂×C₃₁	semidirect
834. #3111	C₂×C₃₁	semidirect
835. #3110	C₂×C₃₁	semidirect
836. #2970	C₂×C₃₁	semidirect
837. C₄×AGL(1,ℤ/8)	C₂×C₃₁	semidirect
838. #2943	C₂×C₃₁	semidirect
839. C₂×#442	C₂×C₃₁	semidirect
895. #559	C₂²×C₃₁	semidirect
896. #556	C₂²×C₃₁	semidirect
897. #555	C₂²×C₃₁	semidirect
899. #554	C₂²×C₃₁	semidirect
900. #554	C₂²×C₃₁	semidirect
904. #553	C₂²×C₃₁	semidirect
907. #552	C₂²×C₃₁	semidirect
912. #547	C₂²×C₃₁	semidirect
916. #546	C₂²×C₃₁	semidirect
917. #546	C₂²×C₃₁	semidirect
919. #533	C₂²×C₃₁	semidirect
920. #532	C₂²×C₃₁	semidirect
925. #529	C₂²×C₃₁	semidirect
926. #529	C₂²×C₃₁	semidirect
927. #529	C₂²×C₃₁	semidirect
932. C₄×#41	C₂²×C₃₁	semidirect
933. C₄×#41	C₂²×C₃₁	semidirect
934. C₄×#41	C₂²×C₃₁	semidirect
937. C₂×C₄×D₄	C₂²×C₃₁	semidirect
938. C₂×C₄×D₄	C₂²×C₃₁	semidirect
940. #501	C₂²×C₃₁	semidirect
941. #501	C₂²×C₃₁	semidirect
942. #499	C₂²×C₃₁	semidirect
943. #497	C₂²×C₃₁	semidirect
945. #495	C₂²×C₃₁	semidirect
946. #491	C₂²×C₃₁	semidirect
947. #490	C₂²×C₃₁	semidirect
948. #489	C₂²×C₃₁	semidirect
949. #489	C₂²×C₃₁	semidirect
950. #488	C₂²×C₃₁	semidirect
951. #488	C₂²×C₃₁	semidirect
952. #485	C₂²×C₃₁	semidirect
953. #485	C₂²×C₃₁	semidirect
954. #484	C₂²×C₃₁	semidirect
955. #484	C₂²×C₃₁	semidirect
956. #483	C₂²×C₃₁	semidirect
957. #483	C₂²×C₃₁	semidirect
958. #482	C₂²×C₃₁	semidirect
959. #482	C₂²×C₃₁	semidirect
960. #482	C₂²×C₃₁	semidirect
961. #482	C₂²×C₃₁	semidirect
963. #480	C₂²×C₃₁	semidirect
964. #479	C₂²×C₃₁	semidirect
965. #479	C₂²×C₃₁	semidirect
966. #478	C₂²×C₃₁	semidirect
967. #478	C₂²×C₃₁	semidirect
968. #478	C₂²×C₃₁	semidirect
969. #478	C₂²×C₃₁	semidirect
970. #478	C₂²×C₃₁	semidirect
971. #478	C₂²×C₃₁	semidirect
972. #475	C₂²×C₃₁	semidirect
973. #474	C₂²×C₃₁	semidirect
974. #474	C₂²×C₃₁	semidirect
975. #474	C₂²×C₃₁	semidirect
976. #470	C₂²×C₃₁	semidirect
978. #468	C₂²×C₃₁	semidirect
979. #468	C₂²×C₃₁	semidirect
980. #467	C₂²×C₃₁	semidirect
981. #467	C₂²×C₃₁	semidirect
982. #466	C₂²×C₃₁	semidirect
983. #466	C₂²×C₃₁	semidirect
986. #465	C₂²×C₃₁	semidirect
987. #465	C₂²×C₃₁	semidirect
988. #464	C₂²×C₃₁	semidirect
989. #464	C₂²×C₃₁	semidirect
992. #463	C₂²×C₃₁	semidirect
993. #463	C₂²×C₃₁	semidirect
994. #463	C₂²×C₃₁	semidirect
995. #463	C₂²×C₃₁	semidirect
996. #461	C₂²×C₃₁	semidirect
997. #461	C₂²×C₃₁	semidirect
998. #460	C₂²×C₃₁	semidirect
1000. #452	C₂²×C₃₁	semidirect
1001. #452	C₂²×C₃₁	semidirect
1004. #450	C₂²×C₃₁	semidirect
1005. #450	C₂²×C₃₁	semidirect
1008. #449	C₂²×C₃₁	semidirect
1009. #449	C₂²×C₃₁	semidirect
1012. #446	C₂²×C₃₁	semidirect
1013. #446	C₂²×C₃₁	semidirect
1019. #442	C₂²×C₃₁	semidirect
1020. #442	C₂²×C₃₁	semidirect
1021. #442	C₂²×C₃₁	semidirect
1022. #442	C₂²×C₃₁	semidirect
1023. #442	C₂²×C₃₁	semidirect
1024. #442	C₂²×C₃₁	semidirect
1025. #441	C₂²×C₃₁	semidirect
1026. #441	C₂²×C₃₁	semidirect
1027. #441	C₂²×C₃₁	semidirect
1028. #440	C₂²×C₃₁	semidirect
1029. #440	C₂²×C₃₁	semidirect
1030. #440	C₂²×C₃₁	semidirect
1031. #440	C₂²×C₃₁	semidirect
1032. #440	C₂²×C₃₁	semidirect
1033. #440	C₂²×C₃₁	semidirect
1034. #440	C₂²×C₃₁	semidirect
1035. #440	C₂²×C₃₁	semidirect
1036. #440	C₂²×C₃₁	semidirect
1037. #440	C₂²×C₃₁	semidirect
1038. C₄×SD₁₆	C₂²×C₃₁	semidirect
1039. C₄×SD₁₆	C₂²×C₃₁	semidirect
1041. C₄×D₈	C₂²×C₃₁	semidirect
1044. #435	C₂²×C₃₁	semidirect
1045. #435	C₂²×C₃₁	semidirect
1046. C₈×D₄	C₂²×C₃₁	semidirect
1047. C₈×D₄	C₂²×C₃₁	semidirect
1048. #432	C₂²×C₃₁	semidirect
1049. #432	C₂²×C₃₁	semidirect
1050. #432	C₂²×C₃₁	semidirect
1051. #428	C₂²×C₃₁	semidirect
1052. #427	C₂²×C₃₁	semidirect
1053. C₂×#106	C₂²×C₃₁	semidirect
1054. #418	C₂²×C₃₁	semidirect
1055. #417	C₂²×C₃₁	semidirect
1056. #416	C₂²×C₃₁	semidirect
1057. #416	C₂²×C₃₁	semidirect
1059. C₂×#102	C₂²×C₃₁	semidirect
1060. C₄×M₁₆	C₂²×C₃₁	semidirect
1061. C₂×#97	C₂²×C₃₁	semidirect
1062. C₂×#97	C₂²×C₃₁	semidirect
1352. C₃₁	#61454	direct (N × H)
1446. D₈	#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×#3481	2
C₃₁×#3475	2
C₃₁×#3401	2
C₃₁×#3389	2
C₃₁×#3376	2
C₃₁×#3370	2
C₃₁×#3347	2
C₃₁×#3344	2
C₃₁×#3337	2
C₃₁×#3319	2
C₃₁×#3314	2
C₃₁×#3310	2
C₃₁×#3307	2
C₃₁×#3297	2
C₃₁×#3296	2
C₃₁×#3280	2
C₃₁×#3267	2
C₃₁×#3264	2
C₃₁×#3183	2
C₃₁×#3181	2
C₃₁×#3180	2
C₃₁×#3115	2
C₃₁×#3114	2
C₃₁×#3111	2
C₃₁×#3110	2
C₃₁×#2970	2
C₄×C₃₁×AGL(1,ℤ/8)	2
C₃₁×#2943	2
C₂×C₃₁×#442	2
#61454	31

Subgroups — C31×#61454 #21518213

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61454 #21518213