Subgroups — C₃₁×#61066 #21517825

Order 7936.

2912 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₁×#575	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₃₁×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
3	D₄×#41×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₃₁×#546	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3282	C₂	1	2	yes	maximal, complemented
6	C₃₁×#3280	C₂	1	2	yes	maximal, complemented
7	C₃₁×#3275	C₂	1	2	yes	maximal, complemented
8	C₃₁×#3273	C₂	1	2	yes	maximal, complemented
9	C₃₁×#3268	C₂	1	2	yes	maximal, complemented
10	C₃₁×#3267	C₂	1	2	yes	maximal, complemented
11	C₃₁×#3266	C₂	1	2	yes	maximal, complemented
12	C₃₁×#3264	C₂	1	2	yes	maximal, complemented
13	C₃₁×#3153	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3056	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3055	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3040	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3036	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3007	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3006	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3005	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3003	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₃₁×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×M₁₆×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₃₁	C₂²	1	1	yes	characteristic
25	C₂²×#41×C₃₁	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#41×C₃₁	C₂²	1	1	yes	characteristic, complemented
27	C₂³×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
28	C₃₁×#575	—	2	8	no	—
29	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₃₁×#137	C₂²	1	2	yes	complemented
33	C₂×C₃₁×AGL(1,ℤ/8)	—	2	8	no	—
34	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
35	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
36	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
40	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
41	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
43	C₂×C₃₁×#135	C₂²	1	2	yes	complemented
44	C₂×C₃₁×#135	C₂²	1	2	yes	complemented
45	C₂²×SD₁₆×C₃₁	C₂²	1	2	yes	complemented
46	C₂²×D₈×C₃₁	C₂²	1	2	yes	complemented
47	C₂²×M₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
48	C₂²×M₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
49	C₃₁×#550	C₂²	1	1	yes	characteristic, complemented
50	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
51	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
52	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
53	C₃₁×#547	—	2	1	no	—
54	C₃₁×#547	C₂²	1	1	yes	characteristic, complemented
55	C₃₁×#546	—	2	1	no	—
56	C₃₁×#546	—	2	1	no	—
57	C₃₁×#546	—	2	1	no	—
58	C₃₁×#546	—	2	1	no	—
59	C₃₁×#546	—	2	1	no	—
60	C₃₁×#546	—	2	1	no	—
61	C₃₁×#546	C₂²	1	2	yes	—
62	C₃₁×#546	C₂²	1	2	yes	complemented
63	C₃₁×#546	C₂²	1	2	yes	complemented
64	C₃₁×#546	C₂²	1	2	yes	complemented
65	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
66	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
67	D₄²×C₃₁	—	2	1	no	—
68	D₄²×C₃₁	C₂²	1	1	yes	characteristic, complemented
69	C₃₁×#532	—	2	1	no	—
70	C₃₁×#532	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₃₁×#124	C₂²	1	1	yes	characteristic, complemented
72	C₃₁×#525	—	2	1	no	—
73	C₃₁×#525	—	2	1	no	—
74	C₃₁×#525	C₂²	1	1	yes	characteristic
75	C₃₁×#525	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₃₁×#123	—	2	1	no	—
77	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
78	C₂×C₃₁×#121	—	2	1	no	—
79	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₃₁×#120	—	2	1	no	—
81	C₄×#41×C₃₁	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×D₄×C₃₁	—	2	1	no	—
83	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
84	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
85	C₂²×C₂²⋊C₄×C₃₁	—	2	1	no	—
86	C₃₁×#497	C₂²	1	2	yes	complemented
87	C₃₁×#496	C₂²	1	2	yes	complemented
88	C₃₁×#495	C₂²	1	2	yes	complemented
89	C₃₁×#495	C₂²	1	2	yes	complemented
90	C₃₁×#470	C₂²	1	2	yes	complemented
91	C₃₁×#469	C₂²	1	2	yes	complemented
92	C₃₁×#468	C₂²	1	2	yes	complemented
93	C₃₁×#468	C₂²	1	2	yes	complemented
94	C₃₁×#467	C₂²	1	2	yes	complemented
95	C₃₁×#466	C₂²	1	2	yes	complemented
96	C₃₁×#465	C₂²	1	2	yes	complemented
97	C₃₁×#465	C₂²	1	2	yes	complemented
98	C₃₁×#464	C₂²	1	2	yes	complemented
99	C₃₁×#464	C₂²	1	2	yes	complemented
100	C₃₁×#463	C₂²	1	2	yes	complemented
101	C₃₁×#463	C₂²	1	2	yes	complemented
102	C₃₁×#463	C₂²	1	2	yes	complemented
103	C₃₁×#463	C₂²	1	2	yes	complemented
104	C₃₁×#461	C₂²	1	2	yes	complemented
105	C₃₁×#459	C₂²	1	2	yes	complemented
106	C₃₁×#452	C₂²	1	2	yes	complemented
107	C₃₁×#452	C₂²	1	2	yes	complemented
108	C₃₁×#452	C₂²	1	2	yes	complemented
109	C₃₁×#452	C₂²	1	2	yes	complemented
110	C₃₁×#451	C₂²	1	2	yes	complemented
111	C₃₁×#450	C₂²	1	2	yes	complemented
112	C₃₁×#450	C₂²	1	2	yes	complemented
113	C₃₁×#450	C₂²	1	2	yes	complemented
114	C₃₁×#449	C₂²	1	2	yes	complemented
115	C₃₁×#449	C₂²	1	2	yes	complemented
116	C₃₁×#449	C₂²	1	2	yes	complemented
117	C₃₁×#449	C₂²	1	2	yes	complemented
118	C₃₁×#448	C₂²	1	2	yes	complemented
119	C₃₁×#447	C₂²	1	2	yes	complemented
120	C₃₁×#447	C₂²	1	2	yes	complemented
121	C₃₁×#447	C₂²	1	2	yes	complemented
122	C₃₁×#442	C₂²	1	2	yes	complemented
123	C₃₁×#440	C₂²	1	2	yes	complemented
124	C₄×SD₁₆×C₃₁	C₂²	1	2	yes	complemented
125	C₄×D₈×C₃₁	C₂²	1	2	yes	complemented
126	C₃₁×#436	C₂²	1	2	yes	complemented
127	C₃₁×#435	C₂²	1	2	yes	complemented
128	C₃₁×#435	C₂²	1	2	yes	complemented
129	C₈×D₄×C₃₁	C₂²	1	2	yes	complemented
130	C₃₁×#428	C₂²	1	1	yes	characteristic, complemented
131	C₃₁×#423	C₂²	1	1	yes	characteristic, complemented
132	C₃₁×#419	C₂²	1	1	yes	characteristic, complemented
133	C₃₁×#418	C₂²	1	1	yes	characteristic, complemented
134	C₃₁×#418	C₂²	1	1	yes	characteristic, complemented
135	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
136	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
137	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
138	C₃₁×#407	C₂²	1	1	yes	characteristic, complemented
139	C₃₁×#407	C₂²	1	1	yes	characteristic, complemented
140	C₄×M₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
141	C₂⁵×C₃₁	—	2	1	no	—
142	C₂×#41×C₃₁	—	2	1	no	—
143	C₂×#41×C₃₁	—	2	1	no	—
144	C₂×#41×C₃₁	—	2	1	no	—
145	C₂×#41×C₃₁	—	2	1	no	—
146	C₂×#41×C₃₁	—	2	1	no	—
147	C₂×#41×C₃₁	—	2	1	no	—
148	C₂×#41×C₃₁	—	2	4	no	—
149	C₂×#41×C₃₁	—	2	4	no	—
150	C₂×#41×C₃₁	—	2	4	no	—
151	C₂×#41×C₃₁	—	4	2	no	—
152	C₂×#41×C₃₁	—	4	2	no	—
153	C₂×#41×C₃₁	—	4	2	no	—
154	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
155	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
156	C₂×#41×C₃₁	C₂³	1	2	yes	—
157	C₂×#41×C₃₁	C₂³	1	2	yes	—
158	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
159	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
160	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
161	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic, complemented
162	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic, complemented
163	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
164	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
165	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic, complemented
166	C₂²×D₄×C₃₁	—	2	4	no	—
167	C₂²×D₄×C₃₁	—	2	1	no	—
168	C₂²×D₄×C₃₁	—	2	1	no	—
169	C₂²×D₄×C₃₁	—	2	1	no	—
170	C₂²×D₄×C₃₁	—	2	1	no	—
171	C₂²×D₄×C₃₁	—	2	1	no	—
172	C₂²×D₄×C₃₁	—	2	1	no	—
173	C₂²×D₄×C₃₁	—	2	1	no	—
174	C₂²×D₄×C₃₁	—	2	1	no	—
175	C₂²×D₄×C₃₁	—	4	2	no	—
176	C₂²×D₄×C₃₁	D₄	1	1	yes	characteristic
177	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
178	C₂²×D₄×C₃₁	C₂³	1	2	yes	—
179	C₂²×D₄×C₃₁	C₂³	1	2	yes	—
180	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
181	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
182	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic, complemented
183	C₂³×C₄×C₃₁	—	2	1	no	—
184	C₂³×C₄×C₃₁	—	2	1	no	—
185	C₂³×C₄×C₃₁	—	2	1	no	—
186	C₂³×C₄×C₃₁	—	2	1	no	—
187	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
188	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
189	C₃₁×#137	—	2	4	no	—
190	C₃₁×#137	—	2	8	no	—
191	C₃₁×#137	—	2	4	no	—
192	C₃₁×#137	—	4	2	no	—
193	C₃₁×AGL(1,ℤ/8)	—	2	4	no	—
194	C₃₁×AGL(1,ℤ/8)	—	2	4	no	—
195	C₃₁×AGL(1,ℤ/8)	—	2	4	no	—
196	C₃₁×AGL(1,ℤ/8)	—	2	8	no	—
197	C₃₁×AGL(1,ℤ/8)	—	2	8	no	—
198	C₃₁×AGL(1,ℤ/8)	—	2	8	no	—
199	C₃₁×AGL(1,ℤ/8)	—	2	4	no	—
200	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
201	C₃₁×AGL(1,ℤ/8)	D₄	1	8	yes	complemented
202	C₃₁×#135	—	2	8	no	—
203	C₃₁×#135	—	2	8	no	—
204	C₂×Q₁₆×C₃₁	C₂³	1	2	yes	complemented
205	C₂×Q₁₆×C₃₁	C₂³	1	2	yes	complemented
206	C₂×Q₁₆×C₃₁	C₂³	1	2	yes	complemented
207	C₂×SD₁₆×C₃₁	—	2	8	no	—
208	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
209	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
210	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
211	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
212	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
213	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	—
214	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	complemented
215	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	complemented
216	C₂×SD₁₆×C₃₁	C₂³	1	2	yes	complemented
217	C₂×D₈×C₃₁	—	2	8	no	—
218	C₂×D₈×C₃₁	C₂³	1	2	yes	—
219	C₂×D₈×C₃₁	C₂³	1	2	yes	—
220	C₂×D₈×C₃₁	C₂³	1	2	yes	—
221	C₂×D₈×C₃₁	C₂³	1	2	yes	—
222	C₂×D₈×C₃₁	C₂³	1	2	yes	—
223	C₂×D₈×C₃₁	C₂³	1	2	yes	—
224	C₂×M₁₆×C₃₁	—	2	4	no	—
225	C₂×M₁₆×C₃₁	—	2	4	no	—
226	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
227	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
228	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
229	C₂×M₁₆×C₃₁	C₂³	1	2	yes	—
230	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
231	C₂×M₁₆×C₃₁	C₂³	1	2	yes	complemented
232	C₂²×C₈×C₃₁	C₂³	1	2	yes	—
233	C₂²×C₈×C₃₁	C₂³	1	2	yes	complemented
234	C₃₁×C₄⋊Q₈	—	2	1	no	—
235	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
236	C₃₁×#127	—	2	1	no	—
237	C₃₁×#127	C₂³	1	1	yes	characteristic, complemented
238	C₃₁×#124	—	2	1	no	—
239	C₃₁×#124	—	2	1	no	—
240	C₃₁×#124	—	2	1	no	—
241	C₃₁×#124	—	2	1	no	—
242	C₃₁×#124	C₂³	1	2	yes	—
243	C₃₁×#124	C₂³	1	2	yes	—
244	C₃₁×#124	C₂³	1	1	yes	characteristic, complemented
245	C₃₁×#124	C₂³	1	1	yes	characteristic, complemented
246	C₃₁×#123	—	2	1	no	—
247	C₃₁×#123	—	2	1	no	—
248	C₃₁×#123	—	2	2	no	—
249	C₃₁×#123	—	2	2	no	—
250	C₃₁×#123	—	2	2	no	—
251	C₃₁×#123	—	2	2	no	—
252	C₃₁×#123	—	2	1	no	—
253	C₃₁×#123	—	2	1	no	—
254	C₃₁×#123	—	2	1	no	—
255	C₃₁×#123	—	2	1	no	—
256	C₃₁×C₂²⋊Q₈	—	2	1	no	—
257	C₃₁×C₂²⋊Q₈	—	2	1	no	—
258	C₃₁×C₂²⋊Q₈	—	2	1	no	—
259	C₃₁×C₂²⋊Q₈	—	2	1	no	—
260	C₃₁×C₂²⋊Q₈	—	2	1	no	—
261	C₃₁×C₂²⋊Q₈	—	2	1	no	—
262	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
263	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
264	C₃₁×C₂²⋊Q₈	C₂³	1	2	yes	—
265	C₃₁×C₂²⋊Q₈	C₂³	1	2	yes	—
266	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
267	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
268	C₃₁×#121	—	2	1	no	—
269	C₃₁×#121	—	2	1	no	—
270	C₃₁×#121	—	2	1	no	—
271	C₃₁×#121	—	2	1	no	—
272	C₃₁×#121	—	2	1	no	—
273	C₃₁×#121	—	2	1	no	—
274	C₃₁×#121	—	2	1	no	—
275	C₃₁×#121	—	2	1	no	—
276	C₃₁×#121	—	2	2	no	—
277	C₃₁×#121	—	2	2	no	—
278	C₃₁×#121	—	2	2	no	—
279	C₃₁×#121	—	2	2	no	—
280	C₃₁×#121	—	2	1	no	—
281	C₃₁×#121	—	2	1	no	—
282	C₃₁×#121	—	2	1	no	—
283	C₃₁×#121	—	2	1	no	—
284	C₃₁×#121	C₂³	1	1	yes	characteristic
285	C₃₁×#121	C₂³	1	1	yes	characteristic
286	C₃₁×#121	C₂³	1	2	yes	—
287	C₃₁×#121	C₂³	1	2	yes	—
288	C₃₁×#121	C₂³	1	1	yes	characteristic, complemented
289	C₃₁×#121	C₂³	1	1	yes	characteristic, complemented
290	C₃₁×#120	—	2	1	no	—
291	C₃₁×#120	—	2	1	no	—
292	C₃₁×#120	—	2	2	no	—
293	C₃₁×#120	—	2	2	no	—
294	C₃₁×#120	—	2	2	no	—
295	C₃₁×#120	—	2	2	no	—
296	C₃₁×#120	—	2	1	no	—
297	C₃₁×#120	—	2	1	no	—
298	C₃₁×#120	—	2	1	no	—
299	C₃₁×#120	—	2	1	no	—
300	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic, complemented
301	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic, complemented
302	C₄×D₄×C₃₁	—	2	1	no	—
303	C₄×D₄×C₃₁	—	2	1	no	—
304	C₄×D₄×C₃₁	—	2	1	no	—
305	C₄×D₄×C₃₁	—	2	1	no	—
306	C₄×D₄×C₃₁	—	2	1	no	—
307	C₄×D₄×C₃₁	—	2	1	no	—
308	C₄×D₄×C₃₁	—	2	1	no	—
309	C₄×D₄×C₃₁	—	2	1	no	—
310	C₄×D₄×C₃₁	—	2	1	no	—
311	C₄×D₄×C₃₁	—	2	1	no	—
312	C₄×D₄×C₃₁	—	2	1	no	—
313	C₄×D₄×C₃₁	—	2	1	no	—
314	C₄×D₄×C₃₁	—	2	1	no	—
315	C₄×D₄×C₃₁	—	2	1	no	—
316	C₄×D₄×C₃₁	D₄	1	1	yes	characteristic
317	C₄×D₄×C₃₁	D₄	1	1	yes	characteristic
318	C₄×D₄×C₃₁	D₄	1	1	yes	characteristic
319	C₄×D₄×C₃₁	D₄	1	1	yes	characteristic
320	C₄×D₄×C₃₁	C₂³	1	2	yes	—
321	C₄×D₄×C₃₁	C₂³	1	2	yes	—
322	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
323	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
324	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
325	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
326	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic, complemented
327	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic, complemented
328	C₃₁×#117	—	2	1	no	—
329	C₃₁×#117	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
331	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
332	C₂×C₄⋊C₄×C₃₁	D₄	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
335	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
336	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
337	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
338	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
339	C₂×C₂²⋊C₄×C₃₁	—	2	2	no	—
340	C₂×C₂²⋊C₄×C₃₁	—	2	2	no	—
341	C₂×C₂²⋊C₄×C₃₁	—	2	2	no	—
342	C₂×C₂²⋊C₄×C₃₁	—	2	2	no	—
343	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
344	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
345	C₂×C₂²⋊C₄×C₃₁	D₄	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₃₁	D₄	1	1	yes	characteristic
347	C₂×C₄²×C₃₁	—	2	1	no	—
348	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
349	C₃₁×#107	C₂³	1	2	yes	complemented
350	C₃₁×#106	C₂³	1	2	yes	complemented
351	C₃₁×C₄⋊C₈	C₂³	1	2	yes	complemented
352	C₃₁×C₄⋊C₈	C₂³	1	2	yes	complemented
353	C₃₁×#103	C₂³	1	2	yes	complemented
354	C₃₁×#103	C₂³	1	2	yes	complemented
355	C₃₁×#103	C₂³	1	2	yes	complemented
356	C₃₁×#103	C₂³	1	2	yes	complemented
357	C₃₁×#103	C₂³	1	2	yes	complemented
358	C₃₁×#102	C₂³	1	2	yes	—
359	C₃₁×#102	C₂³	1	2	yes	—
360	C₃₁×#102	C₂³	1	2	yes	—
361	C₃₁×#102	C₂³	1	2	yes	—
362	C₃₁×#102	C₂³	1	2	yes	complemented
363	C₃₁×#102	C₂³	1	2	yes	complemented
364	C₃₁×#102	C₂³	1	2	yes	complemented
365	C₃₁×C₂²⋊C₈	C₂³	1	2	yes	—
366	C₃₁×C₂²⋊C₈	C₂³	1	2	yes	—
367	C₃₁×C₂²⋊C₈	C₂³	1	2	yes	complemented
368	C₃₁×C₂²⋊C₈	C₂³	1	2	yes	complemented
369	C₃₁×#97	C₂³	1	2	yes	complemented
370	C₄×C₈×C₃₁	C₂³	1	2	yes	complemented
371	C₂⁴×C₃₁	—	2	1	no	—
372	C₂⁴×C₃₁	—	2	1	no	—
373	C₂⁴×C₃₁	—	2	2	no	—
374	C₂⁴×C₃₁	—	2	2	no	—
375	C₂⁴×C₃₁	—	2	1	no	—
376	C₂⁴×C₃₁	—	2	1	no	—
377	C₂⁴×C₃₁	—	4	4	no	—
378	C₂⁴×C₃₁	—	4	4	no	—
379	C₂⁴×C₃₁	—	8	2	no	—
380	C₂⁴×C₃₁	C₂×D₄	1	1	yes	characteristic
381	C₂⁴×C₃₁	C₂×D₄	1	1	yes	characteristic
382	#41×C₃₁	—	2	2	no	—
383	#41×C₃₁	—	2	2	no	—
384	#41×C₃₁	—	2	2	no	—
385	#41×C₃₁	—	2	4	no	—
386	#41×C₃₁	—	2	2	no	—
387	#41×C₃₁	—	2	2	no	—
388	#41×C₃₁	—	2	4	no	—
389	#41×C₃₁	—	2	2	no	—
390	#41×C₃₁	—	2	2	no	—
391	#41×C₃₁	—	2	2	no	—
392	#41×C₃₁	—	2	2	no	—
393	#41×C₃₁	—	4	4	no	—
394	#41×C₃₁	—	4	4	no	—
395	#41×C₃₁	—	4	1	no	—
396	#41×C₃₁	—	4	1	no	—
397	#41×C₃₁	—	4	2	no	—
398	#41×C₃₁	—	4	2	no	—
399	#41×C₃₁	—	4	1	no	—
400	#41×C₃₁	—	4	1	no	—
401	#41×C₃₁	—	4	4	no	—
402	#41×C₃₁	—	4	4	no	—
403	#41×C₃₁	—	4	4	no	—
404	#41×C₃₁	—	4	4	no	—
405	#41×C₃₁	C₂×D₄	1	4	yes	—
406	C₂×Q₈×C₃₁	—	2	1	no	—
407	C₂×Q₈×C₃₁	—	2	1	no	—
408	C₂×Q₈×C₃₁	—	2	1	no	—
409	C₂×Q₈×C₃₁	—	2	2	no	—
410	C₂×Q₈×C₃₁	—	2	2	no	—
411	C₂×Q₈×C₃₁	—	2	2	no	—
412	C₂×Q₈×C₃₁	—	2	2	no	—
413	C₂×Q₈×C₃₁	—	4	1	no	—
414	C₂×Q₈×C₃₁	—	4	1	no	—
415	C₂×Q₈×C₃₁	C₂⁴	1	2	yes	—
416	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
417	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
418	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
419	C₂×D₄×C₃₁	—	2	1	no	—
420	C₂×D₄×C₃₁	—	2	2	no	—
421	C₂×D₄×C₃₁	—	2	4	no	—
422	C₂×D₄×C₃₁	—	2	4	no	—
423	C₂×D₄×C₃₁	—	2	2	no	—
424	C₂×D₄×C₃₁	—	2	1	no	—
425	C₂×D₄×C₃₁	—	2	1	no	—
426	C₂×D₄×C₃₁	—	2	2	no	—
427	C₂×D₄×C₃₁	—	2	2	no	—
428	C₂×D₄×C₃₁	—	2	1	no	—
429	C₂×D₄×C₃₁	—	2	1	no	—
430	C₂×D₄×C₃₁	—	2	1	no	—
431	C₂×D₄×C₃₁	—	2	1	no	—
432	C₂×D₄×C₃₁	—	2	1	no	—
433	C₂×D₄×C₃₁	—	2	1	no	—
434	C₂×D₄×C₃₁	—	2	1	no	—
435	C₂×D₄×C₃₁	—	2	1	no	—
436	C₂×D₄×C₃₁	—	2	2	no	—
437	C₂×D₄×C₃₁	—	2	2	no	—
438	C₂×D₄×C₃₁	—	2	1	no	—
439	C₂×D₄×C₃₁	—	2	2	no	—
440	C₂×D₄×C₃₁	—	2	1	no	—
441	C₂×D₄×C₃₁	—	2	1	no	—
442	C₂×D₄×C₃₁	—	2	1	no	—
443	C₂×D₄×C₃₁	—	2	2	no	—
444	C₂×D₄×C₃₁	—	2	2	no	—
445	C₂×D₄×C₃₁	—	2	1	no	—
446	C₂×D₄×C₃₁	—	2	1	no	—
447	C₂×D₄×C₃₁	—	2	2	no	—
448	C₂×D₄×C₃₁	—	2	2	no	—
449	C₂×D₄×C₃₁	—	4	2	no	—
450	C₂×D₄×C₃₁	—	4	2	no	—
451	C₂×D₄×C₃₁	—	4	1	no	—
452	C₂×D₄×C₃₁	—	4	1	no	—
453	C₂×D₄×C₃₁	—	4	4	no	—
454	C₂×D₄×C₃₁	—	4	4	no	—
455	C₂×D₄×C₃₁	—	4	4	no	—
456	C₂×D₄×C₃₁	—	4	2	no	—
457	C₂×D₄×C₃₁	—	4	4	no	—
458	C₂×D₄×C₃₁	—	4	4	no	—
459	C₂×D₄×C₃₁	—	4	4	no	—
460	C₂×D₄×C₃₁	—	4	4	no	—
461	C₂×D₄×C₃₁	—	8	2	no	—
462	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
463	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
464	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
465	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
466	C₂×D₄×C₃₁	C₂×D₄	1	4	yes	complemented
467	C₂×D₄×C₃₁	C₂⁴	1	2	yes	—
468	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
469	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
470	C₂×D₄×C₃₁	C₂⁴	1	2	yes	—
471	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₃₁	—	2	1	no	—
473	C₂²×C₄×C₃₁	—	2	2	no	—
474	C₂²×C₄×C₃₁	—	2	2	no	—
475	C₂²×C₄×C₃₁	—	2	2	no	—
476	C₂²×C₄×C₃₁	—	2	2	no	—
477	C₂²×C₄×C₃₁	—	2	1	no	—
478	C₂²×C₄×C₃₁	—	2	1	no	—
479	C₂²×C₄×C₃₁	—	2	1	no	—
480	C₂²×C₄×C₃₁	—	2	1	no	—
481	C₂²×C₄×C₃₁	—	2	1	no	—
482	C₂²×C₄×C₃₁	—	2	2	no	—
483	C₂²×C₄×C₃₁	—	2	2	no	—
484	C₂²×C₄×C₃₁	—	2	1	no	—
485	C₂²×C₄×C₃₁	—	2	1	no	—
486	C₂²×C₄×C₃₁	—	2	1	no	—
487	C₂²×C₄×C₃₁	—	2	1	no	—
488	C₂²×C₄×C₃₁	—	2	1	no	—
489	C₂²×C₄×C₃₁	—	2	1	no	—
490	C₂²×C₄×C₃₁	—	2	1	no	—
491	C₂²×C₄×C₃₁	—	2	2	no	—
492	C₂²×C₄×C₃₁	—	2	2	no	—
493	C₂²×C₄×C₃₁	—	4	4	no	—
494	C₂²×C₄×C₃₁	—	4	4	no	—
495	C₂²×C₄×C₃₁	—	4	4	no	—
496	C₂²×C₄×C₃₁	—	8	2	no	—
497	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
498	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
499	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
500	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
501	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
502	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
503	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
504	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
505	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
510	Q₁₆×C₃₁	—	2	4	no	—
511	Q₁₆×C₃₁	—	2	4	no	—
512	Q₁₆×C₃₁	—	4	2	no	—
513	SD₁₆×C₃₁	—	2	4	no	—
514	SD₁₆×C₃₁	—	2	4	no	—
515	SD₁₆×C₃₁	—	2	4	no	—
516	SD₁₆×C₃₁	—	2	4	no	—
517	SD₁₆×C₃₁	—	2	4	no	—
518	SD₁₆×C₃₁	—	2	4	no	—
519	SD₁₆×C₃₁	—	4	2	no	—
520	SD₁₆×C₃₁	—	4	2	no	—
521	SD₁₆×C₃₁	C₂×D₄	1	8	yes	complemented
522	D₈×C₃₁	—	2	4	no	—
523	D₈×C₃₁	—	2	4	no	—
524	D₈×C₃₁	—	2	4	no	—
525	D₈×C₃₁	—	2	4	no	—
526	D₈×C₃₁	—	4	2	no	—
527	D₈×C₃₁	C₂×D₄	1	8	yes	complemented
528	M₁₆×C₃₁	—	2	2	no	—
529	M₁₆×C₃₁	—	2	2	no	—
530	M₁₆×C₃₁	—	2	2	no	—
531	M₁₆×C₃₁	—	2	4	no	—
532	M₁₆×C₃₁	—	2	4	no	—
533	M₁₆×C₃₁	C₂×D₄	1	4	yes	complemented
534	C₂×C₈×C₃₁	—	2	4	no	—
535	C₂×C₈×C₃₁	—	2	4	no	—
536	C₂×C₈×C₃₁	C₂⁴	1	2	yes	—
537	C₂×C₈×C₃₁	C₂⁴	1	2	yes	—
538	C₂×C₈×C₃₁	C₂⁴	1	2	yes	—
539	C₂×C₈×C₃₁	C₂⁴	1	2	yes	—
540	C₄⋊C₄×C₃₁	—	2	1	no	—
541	C₄⋊C₄×C₃₁	—	2	1	no	—
542	C₄⋊C₄×C₃₁	—	2	1	no	—
543	C₄⋊C₄×C₃₁	—	2	2	no	—
544	C₄⋊C₄×C₃₁	—	2	2	no	—
545	C₄⋊C₄×C₃₁	—	2	1	no	—
546	C₄⋊C₄×C₃₁	—	2	1	no	—
547	C₄⋊C₄×C₃₁	—	2	1	no	—
548	C₄⋊C₄×C₃₁	—	2	1	no	—
549	C₄⋊C₄×C₃₁	—	2	1	no	—
550	C₄⋊C₄×C₃₁	—	2	1	no	—
551	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
552	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
553	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
554	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
555	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
556	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
557	C₄⋊C₄×C₃₁	C₂⁴	1	2	yes	—
558	C₂²⋊C₄×C₃₁	—	2	2	no	—
559	C₂²⋊C₄×C₃₁	—	2	2	no	—
560	C₂²⋊C₄×C₃₁	—	2	1	no	—
561	C₂²⋊C₄×C₃₁	—	2	1	no	—
562	C₂²⋊C₄×C₃₁	—	2	1	no	—
563	C₂²⋊C₄×C₃₁	—	2	1	no	—
564	C₂²⋊C₄×C₃₁	—	2	1	no	—
565	C₂²⋊C₄×C₃₁	—	2	2	no	—
566	C₂²⋊C₄×C₃₁	—	2	2	no	—
567	C₂²⋊C₄×C₃₁	—	2	2	no	—
568	C₂²⋊C₄×C₃₁	—	2	2	no	—
569	C₂²⋊C₄×C₃₁	—	2	1	no	—
570	C₂²⋊C₄×C₃₁	—	2	1	no	—
571	C₂²⋊C₄×C₃₁	—	2	1	no	—
572	C₂²⋊C₄×C₃₁	—	2	1	no	—
573	C₂²⋊C₄×C₃₁	—	2	2	no	—
574	C₂²⋊C₄×C₃₁	—	2	2	no	—
575	C₂²⋊C₄×C₃₁	—	2	2	no	—
576	C₂²⋊C₄×C₃₁	—	2	2	no	—
577	C₂²⋊C₄×C₃₁	—	2	1	no	—
578	C₂²⋊C₄×C₃₁	—	2	1	no	—
579	C₂²⋊C₄×C₃₁	—	2	1	no	—
580	C₂²⋊C₄×C₃₁	—	2	1	no	—
581	C₂²⋊C₄×C₃₁	—	2	1	no	—
582	C₂²⋊C₄×C₃₁	—	2	1	no	—
583	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
584	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
585	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
586	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
587	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
588	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
589	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
590	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
591	C₄²×C₃₁	—	2	1	no	—
592	C₄²×C₃₁	—	2	1	no	—
593	C₄²×C₃₁	—	2	1	no	—
594	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
595	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
596	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
597	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
598	#61066	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
599	C₂³×C₃₁	—	2	2	no	—
600	C₂³×C₃₁	—	2	4	no	—
601	C₂³×C₃₁	—	2	2	no	—
602	C₂³×C₃₁	—	2	1	no	—
603	C₂³×C₃₁	—	2	2	no	—
604	C₂³×C₃₁	—	2	2	no	—
605	C₂³×C₃₁	—	2	2	no	—
606	C₂³×C₃₁	—	2	1	no	—
607	C₂³×C₃₁	—	2	1	no	—
608	C₂³×C₃₁	—	4	1	no	—
609	C₂³×C₃₁	—	4	1	no	—
610	C₂³×C₃₁	—	4	1	no	—
611	C₂³×C₃₁	—	4	2	no	—
612	C₂³×C₃₁	—	4	2	no	—
613	C₂³×C₃₁	—	4	4	no	—
614	C₂³×C₃₁	—	4	4	no	—
615	C₂³×C₃₁	—	4	2	no	—
616	C₂³×C₃₁	—	4	2	no	—
617	C₂³×C₃₁	—	4	2	no	—
618	C₂³×C₃₁	—	4	2	no	—
619	C₂³×C₃₁	—	4	2	no	—
620	C₂³×C₃₁	—	4	4	no	—
621	C₂³×C₃₁	—	4	2	no	—
622	C₂³×C₃₁	—	4	2	no	—
623	C₂³×C₃₁	—	4	4	no	—
624	C₂³×C₃₁	—	8	1	no	—
625	C₂³×C₃₁	—	8	1	no	—
626	C₂³×C₃₁	—	8	2	no	—
627	C₂³×C₃₁	—	8	2	no	—
628	C₂³×C₃₁	—	8	16	no	—
629	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
630	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
631	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
632	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
633	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
634	Q₈×C₃₁	—	2	1	no	—
635	Q₈×C₃₁	—	2	1	no	—
636	Q₈×C₃₁	—	2	1	no	—
637	Q₈×C₃₁	—	2	2	no	—
638	Q₈×C₃₁	—	2	1	no	—
639	Q₈×C₃₁	—	2	2	no	—
640	Q₈×C₃₁	—	2	1	no	—
641	Q₈×C₃₁	—	4	2	no	—
642	Q₈×C₃₁	—	4	2	no	—
643	Q₈×C₃₁	—	4	2	no	—
644	Q₈×C₃₁	C₂²×D₄	1	2	yes	—
645	D₄×C₃₁	—	2	4	no	—
646	D₄×C₃₁	—	2	2	no	—
647	D₄×C₃₁	—	2	2	no	—
648	D₄×C₃₁	—	2	4	no	—
649	D₄×C₃₁	—	2	1	no	—
650	D₄×C₃₁	—	2	2	no	—
651	D₄×C₃₁	—	2	1	no	—
652	D₄×C₃₁	—	2	2	no	—
653	D₄×C₃₁	—	2	1	no	—
654	D₄×C₃₁	—	2	1	no	—
655	D₄×C₃₁	—	2	2	no	—
656	D₄×C₃₁	—	2	1	no	—
657	D₄×C₃₁	—	4	1	no	—
658	D₄×C₃₁	—	4	1	no	—
659	D₄×C₃₁	—	4	4	no	—
660	D₄×C₃₁	—	4	4	no	—
661	D₄×C₃₁	—	4	2	no	—
662	D₄×C₃₁	—	4	2	no	—
663	D₄×C₃₁	—	4	2	no	—
664	D₄×C₃₁	—	4	2	no	—
665	D₄×C₃₁	—	4	2	no	—
666	D₄×C₃₁	—	4	4	no	—
667	D₄×C₃₁	—	4	2	no	—
668	D₄×C₃₁	—	4	4	no	—
669	D₄×C₃₁	—	4	2	no	—
670	D₄×C₃₁	—	4	2	no	—
671	D₄×C₃₁	—	4	2	no	—
672	D₄×C₃₁	—	4	2	no	—
673	D₄×C₃₁	—	4	2	no	—
674	D₄×C₃₁	—	4	2	no	—
675	D₄×C₃₁	—	8	1	no	—
676	D₄×C₃₁	—	8	1	no	—
677	D₄×C₃₁	—	8	1	no	—
678	D₄×C₃₁	—	8	2	no	—
679	D₄×C₃₁	—	8	2	no	—
680	D₄×C₃₁	C₂²×D₄	1	2	yes	—
681	D₄×C₃₁	C₂²×D₄	1	4	yes	—
682	C₂×C₄×C₃₁	—	2	2	no	—
683	C₂×C₄×C₃₁	—	2	2	no	—
684	C₂×C₄×C₃₁	—	2	1	no	—
685	C₂×C₄×C₃₁	—	2	2	no	—
686	C₂×C₄×C₃₁	—	2	2	no	—
687	C₂×C₄×C₃₁	—	2	2	no	—
688	C₂×C₄×C₃₁	—	2	2	no	—
689	C₂×C₄×C₃₁	—	2	4	no	—
690	C₂×C₄×C₃₁	—	2	1	no	—
691	C₂×C₄×C₃₁	—	2	1	no	—
692	C₂×C₄×C₃₁	—	2	1	no	—
693	C₂×C₄×C₃₁	—	2	1	no	—
694	C₂×C₄×C₃₁	—	2	1	no	—
695	C₂×C₄×C₃₁	—	2	1	no	—
696	C₂×C₄×C₃₁	—	2	1	no	—
697	C₂×C₄×C₃₁	—	2	1	no	—
698	C₂×C₄×C₃₁	—	2	1	no	—
699	C₂×C₄×C₃₁	—	2	1	no	—
700	C₂×C₄×C₃₁	—	2	2	no	—
701	C₂×C₄×C₃₁	—	2	2	no	—
702	C₂×C₄×C₃₁	—	2	1	no	—
703	C₂×C₄×C₃₁	—	2	1	no	—
704	C₂×C₄×C₃₁	—	4	1	no	—
705	C₂×C₄×C₃₁	—	4	1	no	—
706	C₂×C₄×C₃₁	—	4	2	no	—
707	C₂×C₄×C₃₁	—	4	2	no	—
708	C₂×C₄×C₃₁	—	4	2	no	—
709	C₂×C₄×C₃₁	—	4	2	no	—
710	C₂×C₄×C₃₁	—	4	2	no	—
711	C₂×C₄×C₃₁	—	4	4	no	—
712	C₂×C₄×C₃₁	—	4	2	no	—
713	C₂×C₄×C₃₁	—	4	4	no	—
714	C₂×C₄×C₃₁	—	4	2	no	—
715	C₂×C₄×C₃₁	—	4	2	no	—
716	C₂×C₄×C₃₁	—	4	2	no	—
717	C₂×C₄×C₃₁	—	4	2	no	—
718	C₂×C₄×C₃₁	—	4	2	no	—
719	C₂×C₄×C₃₁	—	8	1	no	—
720	C₂×C₄×C₃₁	—	8	2	no	—
721	C₂×C₄×C₃₁	—	8	2	no	—
722	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
723	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
724	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
725	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
726	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
727	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
728	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
729	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
730	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
731	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
732	C₂×C₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
733	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
734	C₈×C₃₁	—	2	2	no	—
735	C₈×C₃₁	—	2	2	no	—
736	C₈×C₃₁	—	2	2	no	—
737	C₈×C₃₁	C₂²×D₄	1	4	yes	—
738	C₂×#575	C₂×C₃₁	1	1	yes	characteristic, complemented
739	C₂²×AGL(1,ℤ/8)	C₂×C₃₁	1	1	yes	characteristic, complemented
740	D₄×#41	C₂×C₃₁	1	1	yes	characteristic, complemented
741	C₂×#546	C₂×C₃₁	1	1	yes	characteristic, complemented
742	#3282	C₂×C₃₁	1	2	yes	complemented
743	#3280	C₂×C₃₁	1	2	yes	complemented
744	#3275	C₂×C₃₁	1	2	yes	complemented
745	#3273	C₂×C₃₁	1	2	yes	complemented
746	#3268	C₂×C₃₁	1	2	yes	complemented
747	#3267	C₂×C₃₁	1	2	yes	complemented
748	#3266	C₂×C₃₁	1	2	yes	complemented
749	#3264	C₂×C₃₁	1	2	yes	complemented
750	#3153	C₂×C₃₁	1	1	yes	characteristic, complemented
751	#3056	C₂×C₃₁	1	1	yes	characteristic, complemented
752	#3055	C₂×C₃₁	1	1	yes	characteristic, complemented
753	#3040	C₂×C₃₁	1	1	yes	characteristic, complemented
754	#3036	C₂×C₃₁	1	1	yes	characteristic, complemented
755	#3007	C₂×C₃₁	1	1	yes	characteristic, complemented
756	#3006	C₂×C₃₁	1	1	yes	characteristic, complemented
757	#3005	C₂×C₃₁	1	1	yes	characteristic, complemented
758	#3003	C₂×C₃₁	1	1	yes	characteristic, complemented
759	C₄×AGL(1,ℤ/8)	C₂×C₃₁	1	1	yes	characteristic, complemented
760	D₄×M₁₆	C₂×C₃₁	1	1	yes	characteristic, complemented
761	C₂²×C₃₁	—	2	1	no	—
762	C₂²×C₃₁	—	2	1	no	—
763	C₂²×C₃₁	—	2	1	no	—
764	C₂²×C₃₁	—	2	1	no	—
765	C₂²×C₃₁	—	2	1	no	—
766	C₂²×C₃₁	—	2	1	no	—
767	C₂²×C₃₁	—	2	1	no	—
768	C₂²×C₃₁	—	2	1	no	—
769	C₂²×C₃₁	—	2	1	no	—
770	C₂²×C₃₁	—	2	1	no	—
771	C₂²×C₃₁	—	2	2	no	—
772	C₂²×C₃₁	—	2	4	no	—
773	C₂²×C₃₁	—	2	1	no	—
774	C₂²×C₃₁	—	2	1	no	—
775	C₂²×C₃₁	—	2	1	no	—
776	C₂²×C₃₁	—	4	4	no	—
777	C₂²×C₃₁	—	4	8	no	—
778	C₂²×C₃₁	—	4	2	no	—
779	C₂²×C₃₁	—	4	1	no	—
780	C₂²×C₃₁	—	4	1	no	—
781	C₂²×C₃₁	—	4	2	no	—
782	C₂²×C₃₁	—	4	2	no	—
783	C₂²×C₃₁	—	4	1	no	—
784	C₂²×C₃₁	—	4	1	no	—
785	C₂²×C₃₁	—	4	1	no	—
786	C₂²×C₃₁	—	4	1	no	—
787	C₂²×C₃₁	—	4	2	no	—
788	C₂²×C₃₁	—	4	1	no	—
789	C₂²×C₃₁	—	4	1	no	—
790	C₂²×C₃₁	—	4	2	no	—
791	C₂²×C₃₁	—	8	2	no	—
792	C₂²×C₃₁	—	8	4	no	—
793	C₂²×C₃₁	—	8	8	no	—
794	C₂²×C₃₁	—	8	4	no	—
795	C₂²×C₃₁	—	8	4	no	—
796	C₂²×C₃₁	—	8	8	no	—
797	C₂²×C₃₁	D₄²	1	2	yes	—
798	C₂²×C₃₁	#575	1	2	yes	complemented
799	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
800	C₄×C₃₁	—	2	1	no	—
801	C₄×C₃₁	—	2	1	no	—
802	C₄×C₃₁	—	2	1	no	—
803	C₄×C₃₁	—	2	1	no	—
804	C₄×C₃₁	—	2	1	no	—
805	C₄×C₃₁	—	2	1	no	—
806	C₄×C₃₁	—	2	2	no	—
807	C₄×C₃₁	—	2	1	no	—
808	C₄×C₃₁	—	2	1	no	—
809	C₄×C₃₁	—	4	2	no	—
810	C₄×C₃₁	—	4	1	no	—
811	C₄×C₃₁	—	4	2	no	—
812	C₄×C₃₁	—	4	1	no	—
813	C₄×C₃₁	—	4	1	no	—
814	C₄×C₃₁	—	4	1	no	—
815	C₄×C₃₁	D₄²	1	2	yes	—
816	C₄×C₃₁	C₂³×D₄	1	1	yes	characteristic
817	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
818	C₂²×#41	C₂²×C₃₁	1	1	yes	characteristic
819	C₂²×#41	C₂²×C₃₁	1	1	yes	characteristic, complemented
820	C₂²×#41	C₂²×C₃₁	1	1	yes	characteristic, complemented
821	C₂³×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
822	#575	—	2	8	no	—
823	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic, complemented
824	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic, complemented
825	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic, complemented
826	C₂×#137	C₂²×C₃₁	1	2	yes	complemented
827	C₂×AGL(1,ℤ/8)	—	2	8	no	—
828	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic
829	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic
830	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
831	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
832	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
833	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	2	yes	complemented
834	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	2	yes	complemented
835	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
836	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	2	yes	complemented
837	C₂×#135	C₂²×C₃₁	1	2	yes	complemented
838	C₂×#135	C₂²×C₃₁	1	2	yes	complemented
839	C₂²×SD₁₆	C₂²×C₃₁	1	2	yes	complemented
840	C₂²×D₈	C₂²×C₃₁	1	2	yes	complemented
841	C₂²×M₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
842	C₂²×M₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
843	#550	C₂²×C₃₁	1	1	yes	characteristic, complemented
844	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
845	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
846	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
847	#547	—	2	1	no	—
848	#547	C₂²×C₃₁	1	1	yes	characteristic, complemented
849	#546	—	2	1	no	—
850	#546	—	2	1	no	—
851	#546	—	2	1	no	—
852	#546	—	2	1	no	—
853	#546	—	2	1	no	—
854	#546	—	2	1	no	—
855	#546	C₂²×C₃₁	1	2	yes	—
856	#546	C₂²×C₃₁	1	2	yes	complemented
857	#546	C₂²×C₃₁	1	2	yes	complemented
858	#546	C₂²×C₃₁	1	2	yes	complemented
859	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
860	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
861	D₄²	—	2	1	no	—
862	D₄²	C₂²×C₃₁	1	1	yes	characteristic, complemented
863	#532	—	2	1	no	—
864	#532	C₂²×C₃₁	1	1	yes	characteristic, complemented
865	C₂×#124	C₂²×C₃₁	1	1	yes	characteristic, complemented
866	#525	—	2	1	no	—
867	#525	—	2	1	no	—
868	#525	C₂²×C₃₁	1	1	yes	characteristic
869	#525	C₂²×C₃₁	1	1	yes	characteristic, complemented
870	C₂×#123	—	2	1	no	—
871	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
872	C₂×#121	—	2	1	no	—
873	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic, complemented
874	C₂×#120	—	2	1	no	—
875	C₄×#41	C₂²×C₃₁	1	1	yes	characteristic, complemented
876	C₂×C₄×D₄	—	2	1	no	—
877	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
878	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
879	C₂²×C₂²⋊C₄	—	2	1	no	—
880	#497	C₂²×C₃₁	1	2	yes	complemented
881	#496	C₂²×C₃₁	1	2	yes	complemented
882	#495	C₂²×C₃₁	1	2	yes	complemented
883	#495	C₂²×C₃₁	1	2	yes	complemented
884	#470	C₂²×C₃₁	1	2	yes	complemented
885	#469	C₂²×C₃₁	1	2	yes	complemented
886	#468	C₂²×C₃₁	1	2	yes	complemented
887	#468	C₂²×C₃₁	1	2	yes	complemented
888	#467	C₂²×C₃₁	1	2	yes	complemented
889	#466	C₂²×C₃₁	1	2	yes	complemented
890	#465	C₂²×C₃₁	1	2	yes	complemented
891	#465	C₂²×C₃₁	1	2	yes	complemented
892	#464	C₂²×C₃₁	1	2	yes	complemented
893	#464	C₂²×C₃₁	1	2	yes	complemented
894	#463	C₂²×C₃₁	1	2	yes	complemented
895	#463	C₂²×C₃₁	1	2	yes	complemented
896	#463	C₂²×C₃₁	1	2	yes	complemented
897	#463	C₂²×C₃₁	1	2	yes	complemented
898	#461	C₂²×C₃₁	1	2	yes	complemented
899	#459	C₂²×C₃₁	1	2	yes	complemented
900	#452	C₂²×C₃₁	1	2	yes	complemented
901	#452	C₂²×C₃₁	1	2	yes	complemented
902	#452	C₂²×C₃₁	1	2	yes	complemented
903	#452	C₂²×C₃₁	1	2	yes	complemented
904	#451	C₂²×C₃₁	1	2	yes	complemented
905	#450	C₂²×C₃₁	1	2	yes	complemented
906	#450	C₂²×C₃₁	1	2	yes	complemented
907	#450	C₂²×C₃₁	1	2	yes	complemented
908	#449	C₂²×C₃₁	1	2	yes	complemented
909	#449	C₂²×C₃₁	1	2	yes	complemented
910	#449	C₂²×C₃₁	1	2	yes	complemented
911	#449	C₂²×C₃₁	1	2	yes	complemented
912	#448	C₂²×C₃₁	1	2	yes	complemented
913	#447	C₂²×C₃₁	1	2	yes	complemented
914	#447	C₂²×C₃₁	1	2	yes	complemented
915	#447	C₂²×C₃₁	1	2	yes	complemented
916	#442	C₂²×C₃₁	1	2	yes	complemented
917	#440	C₂²×C₃₁	1	2	yes	complemented
918	C₄×SD₁₆	C₂²×C₃₁	1	2	yes	complemented
919	C₄×D₈	C₂²×C₃₁	1	2	yes	complemented
920	#436	C₂²×C₃₁	1	2	yes	complemented
921	#435	C₂²×C₃₁	1	2	yes	complemented
922	#435	C₂²×C₃₁	1	2	yes	complemented
923	C₈×D₄	C₂²×C₃₁	1	2	yes	complemented
924	#428	C₂²×C₃₁	1	1	yes	characteristic, complemented
925	#423	C₂²×C₃₁	1	1	yes	characteristic, complemented
926	#419	C₂²×C₃₁	1	1	yes	characteristic, complemented
927	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
928	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
929	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
930	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
931	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
932	#407	C₂²×C₃₁	1	1	yes	characteristic, complemented
933	#407	C₂²×C₃₁	1	1	yes	characteristic, complemented
934	C₄×M₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
935	C₂×C₃₁	—	2	2	no	—
936	C₂×C₃₁	—	2	2	no	—
937	C₂×C₃₁	—	4	1	no	—
938	C₂×C₃₁	—	4	1	no	—
939	C₂×C₃₁	—	4	1	no	—
940	C₂×C₃₁	—	4	4	no	—
941	C₂×C₃₁	—	4	2	no	—
942	C₂×C₃₁	—	8	1	no	—
943	C₂×C₃₁	—	8	1	no	—
944	C₂×C₃₁	—	8	2	no	—
945	C₂×C₃₁	C₂×D₄²	1	1	yes	characteristic
946	C₂×C₃₁	C₂×#575	1	1	yes	characteristic
947	C₂×C₃₁	#3585	1	1	yes	characteristic
948	C₂⁵	—	2	1	no	—
949	C₂×#41	—	2	1	no	—
950	C₂×#41	—	2	1	no	—
951	C₂×#41	—	2	1	no	—
952	C₂×#41	—	2	1	no	—
953	C₂×#41	—	2	1	no	—
954	C₂×#41	—	2	1	no	—
955	C₂×#41	—	2	4	no	—
956	C₂×#41	—	2	4	no	—
957	C₂×#41	—	2	4	no	—
958	C₂×#41	—	4	2	no	—
959	C₂×#41	—	4	2	no	—
960	C₂×#41	—	4	2	no	—
961	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
962	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
963	C₂×#41	C₂³×C₃₁	1	2	yes	—
964	C₂×#41	C₂³×C₃₁	1	2	yes	—
965	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
966	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
967	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
968	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic, complemented
969	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic, complemented
970	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
971	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
972	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
973	C₂²×D₄	—	2	4	no	—
974	C₂²×D₄	—	2	1	no	—
975	C₂²×D₄	—	2	1	no	—
976	C₂²×D₄	—	2	1	no	—
977	C₂²×D₄	—	2	1	no	—
978	C₂²×D₄	—	2	1	no	—
979	C₂²×D₄	—	2	1	no	—
980	C₂²×D₄	—	2	1	no	—
981	C₂²×D₄	—	2	1	no	—
982	C₂²×D₄	—	4	2	no	—
983	C₂²×D₄	D₄×C₃₁	1	1	yes	characteristic
984	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
985	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
986	C₂²×D₄	C₂³×C₃₁	1	2	yes	—
987	C₂²×D₄	C₂³×C₃₁	1	2	yes	—
988	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
989	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic, complemented
990	C₂³×C₄	—	2	1	no	—
991	C₂³×C₄	—	2	1	no	—
992	C₂³×C₄	—	2	1	no	—
993	C₂³×C₄	—	2	1	no	—
994	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
995	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
996	#137	—	2	4	no	—
997	#137	—	2	8	no	—
998	#137	—	2	4	no	—
999	#137	—	4	2	no	—
1000	AGL(1,ℤ/8)	—	2	4	no	—
1001	AGL(1,ℤ/8)	—	2	4	no	—
1002	AGL(1,ℤ/8)	—	2	4	no	—
1003	AGL(1,ℤ/8)	—	2	8	no	—
1004	AGL(1,ℤ/8)	—	2	8	no	—
1005	AGL(1,ℤ/8)	—	2	8	no	—
1006	AGL(1,ℤ/8)	—	2	4	no	—
1007	AGL(1,ℤ/8)	—	4	2	no	—
1008	AGL(1,ℤ/8)	D₄×C₃₁	1	8	yes	complemented
1009	#135	—	2	8	no	—
1010	#135	—	2	8	no	—
1011	C₂×Q₁₆	C₂³×C₃₁	1	2	yes	complemented
1012	C₂×Q₁₆	C₂³×C₃₁	1	2	yes	complemented
1013	C₂×Q₁₆	C₂³×C₃₁	1	2	yes	complemented
1014	C₂×SD₁₆	—	2	8	no	—
1015	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	—
1016	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	—
1017	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	—
1018	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	—
1019	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	—
1020	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	—
1021	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	complemented
1022	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	complemented
1023	C₂×SD₁₆	C₂³×C₃₁	1	2	yes	complemented
1024	C₂×D₈	—	2	8	no	—
1025	C₂×D₈	C₂³×C₃₁	1	2	yes	—
1026	C₂×D₈	C₂³×C₃₁	1	2	yes	—
1027	C₂×D₈	C₂³×C₃₁	1	2	yes	—
1028	C₂×D₈	C₂³×C₃₁	1	2	yes	—
1029	C₂×D₈	C₂³×C₃₁	1	2	yes	—
1030	C₂×D₈	C₂³×C₃₁	1	2	yes	—
1031	C₂×M₁₆	—	2	4	no	—
1032	C₂×M₁₆	—	2	4	no	—
1033	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1034	C₂×M₁₆	C₂³×C₃₁	1	2	yes	—
1035	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1036	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1037	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1038	C₂×M₁₆	C₂³×C₃₁	1	2	yes	complemented
1039	C₂²×C₈	C₂³×C₃₁	1	2	yes	—
1040	C₂²×C₈	C₂³×C₃₁	1	2	yes	complemented
1041	C₄⋊Q₈	—	2	1	no	—
1042	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1043	#127	—	2	1	no	—
1044	#127	C₂³×C₃₁	1	1	yes	characteristic, complemented
1045	#124	—	2	1	no	—
1046	#124	—	2	1	no	—
1047	#124	—	2	1	no	—
1048	#124	—	2	1	no	—
1049	#124	C₂³×C₃₁	1	2	yes	—
1050	#124	C₂³×C₃₁	1	2	yes	—
1051	#124	C₂³×C₃₁	1	1	yes	characteristic, complemented
1052	#124	C₂³×C₃₁	1	1	yes	characteristic, complemented
1053	#123	—	2	1	no	—
1054	#123	—	2	1	no	—
1055	#123	—	2	2	no	—
1056	#123	—	2	2	no	—
1057	#123	—	2	2	no	—
1058	#123	—	2	2	no	—
1059	#123	—	2	1	no	—
1060	#123	—	2	1	no	—
1061	#123	—	2	1	no	—
1062	#123	—	2	1	no	—
1063	C₂²⋊Q₈	—	2	1	no	—
1064	C₂²⋊Q₈	—	2	1	no	—
1065	C₂²⋊Q₈	—	2	1	no	—
1066	C₂²⋊Q₈	—	2	1	no	—
1067	C₂²⋊Q₈	—	2	1	no	—
1068	C₂²⋊Q₈	—	2	1	no	—
1069	C₂²⋊Q₈	C₂³×C₃₁	1	2	yes	—
1070	C₂²⋊Q₈	C₂³×C₃₁	1	2	yes	—
1071	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1072	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1073	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1074	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1075	#121	—	2	1	no	—
1076	#121	—	2	1	no	—
1077	#121	—	2	1	no	—
1078	#121	—	2	1	no	—
1079	#121	—	2	1	no	—
1080	#121	—	2	1	no	—
1081	#121	—	2	1	no	—
1082	#121	—	2	1	no	—
1083	#121	—	2	2	no	—
1084	#121	—	2	2	no	—
1085	#121	—	2	2	no	—
1086	#121	—	2	2	no	—
1087	#121	—	2	1	no	—
1088	#121	—	2	1	no	—
1089	#121	—	2	1	no	—
1090	#121	—	2	1	no	—
1091	#121	C₂³×C₃₁	1	2	yes	—
1092	#121	C₂³×C₃₁	1	2	yes	—
1093	#121	C₂³×C₃₁	1	1	yes	characteristic
1094	#121	C₂³×C₃₁	1	1	yes	characteristic
1095	#121	C₂³×C₃₁	1	1	yes	characteristic, complemented
1096	#121	C₂³×C₃₁	1	1	yes	characteristic, complemented
1097	#120	—	2	1	no	—
1098	#120	—	2	1	no	—
1099	#120	—	2	2	no	—
1100	#120	—	2	2	no	—
1101	#120	—	2	2	no	—
1102	#120	—	2	2	no	—
1103	#120	—	2	1	no	—
1104	#120	—	2	1	no	—
1105	#120	—	2	1	no	—
1106	#120	—	2	1	no	—
1107	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1108	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1109	C₄×D₄	—	2	1	no	—
1110	C₄×D₄	—	2	1	no	—
1111	C₄×D₄	—	2	1	no	—
1112	C₄×D₄	—	2	1	no	—
1113	C₄×D₄	—	2	1	no	—
1114	C₄×D₄	—	2	1	no	—
1115	C₄×D₄	—	2	1	no	—
1116	C₄×D₄	—	2	1	no	—
1117	C₄×D₄	—	2	1	no	—
1118	C₄×D₄	—	2	1	no	—
1119	C₄×D₄	—	2	1	no	—
1120	C₄×D₄	—	2	1	no	—
1121	C₄×D₄	—	2	1	no	—
1122	C₄×D₄	—	2	1	no	—
1123	C₄×D₄	D₄×C₃₁	1	1	yes	characteristic
1124	C₄×D₄	D₄×C₃₁	1	1	yes	characteristic
1125	C₄×D₄	D₄×C₃₁	1	1	yes	characteristic
1126	C₄×D₄	D₄×C₃₁	1	1	yes	characteristic
1127	C₄×D₄	C₂³×C₃₁	1	2	yes	—
1128	C₄×D₄	C₂³×C₃₁	1	2	yes	—
1129	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1130	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1131	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1132	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1133	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic, complemented
1134	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic, complemented
1135	#117	—	2	1	no	—
1136	#117	C₂³×C₃₁	1	1	yes	characteristic
1137	C₂×C₄⋊C₄	—	2	1	no	—
1138	C₂×C₄⋊C₄	—	2	1	no	—
1139	C₂×C₄⋊C₄	D₄×C₃₁	1	1	yes	characteristic
1140	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1141	C₂×C₂²⋊C₄	—	2	1	no	—
1142	C₂×C₂²⋊C₄	—	2	1	no	—
1143	C₂×C₂²⋊C₄	—	2	1	no	—
1144	C₂×C₂²⋊C₄	—	2	1	no	—
1145	C₂×C₂²⋊C₄	—	2	1	no	—
1146	C₂×C₂²⋊C₄	—	2	2	no	—
1147	C₂×C₂²⋊C₄	—	2	2	no	—
1148	C₂×C₂²⋊C₄	—	2	2	no	—
1149	C₂×C₂²⋊C₄	—	2	2	no	—
1150	C₂×C₂²⋊C₄	—	2	1	no	—
1151	C₂×C₂²⋊C₄	—	2	1	no	—
1152	C₂×C₂²⋊C₄	D₄×C₃₁	1	1	yes	characteristic
1153	C₂×C₂²⋊C₄	D₄×C₃₁	1	1	yes	characteristic
1154	C₂×C₄²	—	2	1	no	—
1155	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1156	#107	C₂³×C₃₁	1	2	yes	complemented
1157	#106	C₂³×C₃₁	1	2	yes	complemented
1158	C₄⋊C₈	C₂³×C₃₁	1	2	yes	complemented
1159	C₄⋊C₈	C₂³×C₃₁	1	2	yes	complemented
1160	#103	C₂³×C₃₁	1	2	yes	complemented
1161	#103	C₂³×C₃₁	1	2	yes	complemented
1162	#103	C₂³×C₃₁	1	2	yes	complemented
1163	#103	C₂³×C₃₁	1	2	yes	complemented
1164	#103	C₂³×C₃₁	1	2	yes	complemented
1165	#102	C₂³×C₃₁	1	2	yes	—
1166	#102	C₂³×C₃₁	1	2	yes	—
1167	#102	C₂³×C₃₁	1	2	yes	—
1168	#102	C₂³×C₃₁	1	2	yes	—
1169	#102	C₂³×C₃₁	1	2	yes	complemented
1170	#102	C₂³×C₃₁	1	2	yes	complemented
1171	#102	C₂³×C₃₁	1	2	yes	complemented
1172	C₂²⋊C₈	C₂³×C₃₁	1	2	yes	—
1173	C₂²⋊C₈	C₂³×C₃₁	1	2	yes	—
1174	C₂²⋊C₈	C₂³×C₃₁	1	2	yes	complemented
1175	C₂²⋊C₈	C₂³×C₃₁	1	2	yes	complemented
1176	#97	C₂³×C₃₁	1	2	yes	complemented
1177	C₄×C₈	C₂³×C₃₁	1	2	yes	complemented
1178	C₃₁	#61066	1	1	yes	characteristic, direct product factor, Sylow
1179	C₂⁴	—	2	1	no	—
1180	C₂⁴	—	2	1	no	—
1181	C₂⁴	—	2	2	no	—
1182	C₂⁴	—	2	2	no	—
1183	C₂⁴	—	2	1	no	—
1184	C₂⁴	—	2	1	no	—
1185	C₂⁴	—	4	4	no	—
1186	C₂⁴	—	4	4	no	—
1187	C₂⁴	—	8	2	no	—
1188	C₂⁴	C₂×D₄×C₃₁	1	1	yes	characteristic
1189	C₂⁴	C₂×D₄×C₃₁	1	1	yes	characteristic
1190	#41	—	2	2	no	—
1191	#41	—	2	2	no	—
1192	#41	—	2	2	no	—
1193	#41	—	2	4	no	—
1194	#41	—	2	2	no	—
1195	#41	—	2	2	no	—
1196	#41	—	2	4	no	—
1197	#41	—	2	2	no	—
1198	#41	—	2	2	no	—
1199	#41	—	2	2	no	—
1200	#41	—	2	2	no	—
1201	#41	—	4	4	no	—
1202	#41	—	4	4	no	—
1203	#41	—	4	1	no	—
1204	#41	—	4	1	no	—
1205	#41	—	4	2	no	—
1206	#41	—	4	2	no	—
1207	#41	—	4	1	no	—
1208	#41	—	4	1	no	—
1209	#41	—	4	4	no	—
1210	#41	—	4	4	no	—
1211	#41	—	4	4	no	—
1212	#41	—	4	4	no	—
1213	#41	C₂×D₄×C₃₁	1	4	yes	—
1214	C₂×Q₈	—	2	1	no	—
1215	C₂×Q₈	—	2	1	no	—
1216	C₂×Q₈	—	2	1	no	—
1217	C₂×Q₈	—	2	2	no	—
1218	C₂×Q₈	—	2	2	no	—
1219	C₂×Q₈	—	2	2	no	—
1220	C₂×Q₈	—	2	2	no	—
1221	C₂×Q₈	—	4	1	no	—
1222	C₂×Q₈	—	4	1	no	—
1223	C₂×Q₈	C₂⁴×C₃₁	1	2	yes	—
1224	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1225	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1226	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1227	C₂×D₄	—	2	1	no	—
1228	C₂×D₄	—	2	2	no	—
1229	C₂×D₄	—	2	4	no	—
1230	C₂×D₄	—	2	4	no	—
1231	C₂×D₄	—	2	2	no	—
1232	C₂×D₄	—	2	1	no	—
1233	C₂×D₄	—	2	1	no	—
1234	C₂×D₄	—	2	2	no	—
1235	C₂×D₄	—	2	2	no	—
1236	C₂×D₄	—	2	1	no	—
1237	C₂×D₄	—	2	1	no	—
1238	C₂×D₄	—	2	1	no	—
1239	C₂×D₄	—	2	1	no	—
1240	C₂×D₄	—	2	1	no	—
1241	C₂×D₄	—	2	1	no	—
1242	C₂×D₄	—	2	1	no	—
1243	C₂×D₄	—	2	1	no	—
1244	C₂×D₄	—	2	2	no	—
1245	C₂×D₄	—	2	2	no	—
1246	C₂×D₄	—	2	1	no	—
1247	C₂×D₄	—	2	2	no	—
1248	C₂×D₄	—	2	1	no	—
1249	C₂×D₄	—	2	1	no	—
1250	C₂×D₄	—	2	1	no	—
1251	C₂×D₄	—	2	2	no	—
1252	C₂×D₄	—	2	2	no	—
1253	C₂×D₄	—	2	1	no	—
1254	C₂×D₄	—	2	1	no	—
1255	C₂×D₄	—	2	2	no	—
1256	C₂×D₄	—	2	2	no	—
1257	C₂×D₄	—	4	2	no	—
1258	C₂×D₄	—	4	2	no	—
1259	C₂×D₄	—	4	1	no	—
1260	C₂×D₄	—	4	1	no	—
1261	C₂×D₄	—	4	4	no	—
1262	C₂×D₄	—	4	4	no	—
1263	C₂×D₄	—	4	4	no	—
1264	C₂×D₄	—	4	2	no	—
1265	C₂×D₄	—	4	4	no	—
1266	C₂×D₄	—	4	4	no	—
1267	C₂×D₄	—	4	4	no	—
1268	C₂×D₄	—	4	4	no	—
1269	C₂×D₄	—	8	2	no	—
1270	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1271	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1272	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1273	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1274	C₂×D₄	C₂×D₄×C₃₁	1	4	yes	complemented
1275	C₂×D₄	C₂⁴×C₃₁	1	2	yes	—
1276	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1277	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1278	C₂×D₄	C₂⁴×C₃₁	1	2	yes	—
1279	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1280	C₂²×C₄	—	2	1	no	—
1281	C₂²×C₄	—	2	2	no	—
1282	C₂²×C₄	—	2	2	no	—
1283	C₂²×C₄	—	2	2	no	—
1284	C₂²×C₄	—	2	2	no	—
1285	C₂²×C₄	—	2	1	no	—
1286	C₂²×C₄	—	2	1	no	—
1287	C₂²×C₄	—	2	1	no	—
1288	C₂²×C₄	—	2	1	no	—
1289	C₂²×C₄	—	2	1	no	—
1290	C₂²×C₄	—	2	2	no	—
1291	C₂²×C₄	—	2	2	no	—
1292	C₂²×C₄	—	2	1	no	—
1293	C₂²×C₄	—	2	1	no	—
1294	C₂²×C₄	—	2	1	no	—
1295	C₂²×C₄	—	2	1	no	—
1296	C₂²×C₄	—	2	1	no	—
1297	C₂²×C₄	—	2	1	no	—
1298	C₂²×C₄	—	2	1	no	—
1299	C₂²×C₄	—	2	2	no	—
1300	C₂²×C₄	—	2	2	no	—
1301	C₂²×C₄	—	4	4	no	—
1302	C₂²×C₄	—	4	4	no	—
1303	C₂²×C₄	—	4	4	no	—
1304	C₂²×C₄	—	8	2	no	—
1305	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1306	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1307	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1308	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1309	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1310	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1311	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1312	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1313	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1314	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1315	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1316	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1317	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1318	Q₁₆	—	2	4	no	—
1319	Q₁₆	—	2	4	no	—
1320	Q₁₆	—	4	2	no	—
1321	SD₁₆	—	2	4	no	—
1322	SD₁₆	—	2	4	no	—
1323	SD₁₆	—	2	4	no	—
1324	SD₁₆	—	2	4	no	—
1325	SD₁₆	—	2	4	no	—
1326	SD₁₆	—	2	4	no	—
1327	SD₁₆	—	4	2	no	—
1328	SD₁₆	—	4	2	no	—
1329	SD₁₆	C₂×D₄×C₃₁	1	8	yes	complemented
1330	D₈	—	2	4	no	—
1331	D₈	—	2	4	no	—
1332	D₈	—	2	4	no	—
1333	D₈	—	2	4	no	—
1334	D₈	—	4	2	no	—
1335	D₈	C₂×D₄×C₃₁	1	8	yes	complemented
1336	M₁₆	—	2	2	no	—
1337	M₁₆	—	2	2	no	—
1338	M₁₆	—	2	2	no	—
1339	M₁₆	—	2	4	no	—
1340	M₁₆	—	2	4	no	—
1341	M₁₆	C₂×D₄×C₃₁	1	4	yes	complemented
1342	C₂×C₈	—	2	4	no	—
1343	C₂×C₈	—	2	4	no	—
1344	C₂×C₈	C₂⁴×C₃₁	1	2	yes	—
1345	C₂×C₈	C₂⁴×C₃₁	1	2	yes	—
1346	C₂×C₈	C₂⁴×C₃₁	1	2	yes	—
1347	C₂×C₈	C₂⁴×C₃₁	1	2	yes	—
1348	C₄⋊C₄	—	2	1	no	—
1349	C₄⋊C₄	—	2	1	no	—
1350	C₄⋊C₄	—	2	1	no	—
1351	C₄⋊C₄	—	2	2	no	—
1352	C₄⋊C₄	—	2	2	no	—
1353	C₄⋊C₄	—	2	1	no	—
1354	C₄⋊C₄	—	2	1	no	—
1355	C₄⋊C₄	—	2	1	no	—
1356	C₄⋊C₄	—	2	1	no	—
1357	C₄⋊C₄	—	2	1	no	—
1358	C₄⋊C₄	—	2	1	no	—
1359	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1360	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1361	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1362	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1363	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1364	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1365	C₄⋊C₄	C₂⁴×C₃₁	1	2	yes	—
1366	C₂²⋊C₄	—	2	2	no	—
1367	C₂²⋊C₄	—	2	2	no	—
1368	C₂²⋊C₄	—	2	1	no	—
1369	C₂²⋊C₄	—	2	1	no	—
1370	C₂²⋊C₄	—	2	1	no	—
1371	C₂²⋊C₄	—	2	1	no	—
1372	C₂²⋊C₄	—	2	1	no	—
1373	C₂²⋊C₄	—	2	2	no	—
1374	C₂²⋊C₄	—	2	2	no	—
1375	C₂²⋊C₄	—	2	2	no	—
1376	C₂²⋊C₄	—	2	2	no	—
1377	C₂²⋊C₄	—	2	1	no	—
1378	C₂²⋊C₄	—	2	1	no	—
1379	C₂²⋊C₄	—	2	1	no	—
1380	C₂²⋊C₄	—	2	1	no	—
1381	C₂²⋊C₄	—	2	2	no	—
1382	C₂²⋊C₄	—	2	2	no	—
1383	C₂²⋊C₄	—	2	2	no	—
1384	C₂²⋊C₄	—	2	2	no	—
1385	C₂²⋊C₄	—	2	1	no	—
1386	C₂²⋊C₄	—	2	1	no	—
1387	C₂²⋊C₄	—	2	1	no	—
1388	C₂²⋊C₄	—	2	1	no	—
1389	C₂²⋊C₄	—	2	1	no	—
1390	C₂²⋊C₄	—	2	1	no	—
1391	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1392	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1393	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1394	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1395	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1396	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1397	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1398	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1399	C₄²	—	2	1	no	—
1400	C₄²	—	2	1	no	—
1401	C₄²	—	2	1	no	—
1402	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1403	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1404	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1405	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1406	C₂³	—	2	2	no	—
1407	C₂³	—	2	4	no	—
1408	C₂³	—	2	2	no	—
1409	C₂³	—	2	1	no	—
1410	C₂³	—	2	2	no	—
1411	C₂³	—	2	2	no	—
1412	C₂³	—	2	2	no	—
1413	C₂³	—	2	1	no	—
1414	C₂³	—	2	1	no	—
1415	C₂³	—	4	1	no	—
1416	C₂³	—	4	1	no	—
1417	C₂³	—	4	1	no	—
1418	C₂³	—	4	2	no	—
1419	C₂³	—	4	2	no	—
1420	C₂³	—	4	4	no	—
1421	C₂³	—	4	4	no	—
1422	C₂³	—	4	2	no	—
1423	C₂³	—	4	2	no	—
1424	C₂³	—	4	2	no	—
1425	C₂³	—	4	2	no	—
1426	C₂³	—	4	2	no	—
1427	C₂³	—	4	4	no	—
1428	C₂³	—	4	2	no	—
1429	C₂³	—	4	2	no	—
1430	C₂³	—	4	4	no	—
1431	C₂³	—	8	1	no	—
1432	C₂³	—	8	1	no	—
1433	C₂³	—	8	2	no	—
1434	C₂³	—	8	2	no	—
1435	C₂³	—	8	16	no	—
1436	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1437	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1438	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1439	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1440	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1441	Q₈	—	2	1	no	—
1442	Q₈	—	2	1	no	—
1443	Q₈	—	2	1	no	—
1444	Q₈	—	2	2	no	—
1445	Q₈	—	2	1	no	—
1446	Q₈	—	2	2	no	—
1447	Q₈	—	2	1	no	—
1448	Q₈	—	4	2	no	—
1449	Q₈	—	4	2	no	—
1450	Q₈	—	4	2	no	—
1451	Q₈	C₂²×D₄×C₃₁	1	2	yes	—
1452	D₄	—	2	4	no	—
1453	D₄	—	2	2	no	—
1454	D₄	—	2	2	no	—
1455	D₄	—	2	4	no	—
1456	D₄	—	2	1	no	—
1457	D₄	—	2	2	no	—
1458	D₄	—	2	1	no	—
1459	D₄	—	2	2	no	—
1460	D₄	—	2	1	no	—
1461	D₄	—	2	1	no	—
1462	D₄	—	2	2	no	—
1463	D₄	—	2	1	no	—
1464	D₄	—	4	1	no	—
1465	D₄	—	4	1	no	—
1466	D₄	—	4	4	no	—
1467	D₄	—	4	4	no	—
1468	D₄	—	4	2	no	—
1469	D₄	—	4	2	no	—
1470	D₄	—	4	2	no	—
1471	D₄	—	4	2	no	—
1472	D₄	—	4	2	no	—
1473	D₄	—	4	4	no	—
1474	D₄	—	4	2	no	—
1475	D₄	—	4	4	no	—
1476	D₄	—	4	2	no	—
1477	D₄	—	4	2	no	—
1478	D₄	—	4	2	no	—
1479	D₄	—	4	2	no	—
1480	D₄	—	4	2	no	—
1481	D₄	—	4	2	no	—
1482	D₄	—	8	1	no	—
1483	D₄	—	8	1	no	—
1484	D₄	—	8	1	no	—
1485	D₄	—	8	2	no	—
1486	D₄	—	8	2	no	—
1487	D₄	C₂²×D₄×C₃₁	1	2	yes	—
1488	D₄	C₂²×D₄×C₃₁	1	4	yes	—
1489	C₂×C₄	—	2	2	no	—
1490	C₂×C₄	—	2	2	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	2	no	—
1493	C₂×C₄	—	2	2	no	—
1494	C₂×C₄	—	2	2	no	—
1495	C₂×C₄	—	2	2	no	—
1496	C₂×C₄	—	2	4	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	2	no	—
1508	C₂×C₄	—	2	2	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	4	1	no	—
1512	C₂×C₄	—	4	1	no	—
1513	C₂×C₄	—	4	2	no	—
1514	C₂×C₄	—	4	2	no	—
1515	C₂×C₄	—	4	2	no	—
1516	C₂×C₄	—	4	2	no	—
1517	C₂×C₄	—	4	2	no	—
1518	C₂×C₄	—	4	4	no	—
1519	C₂×C₄	—	4	2	no	—
1520	C₂×C₄	—	4	4	no	—
1521	C₂×C₄	—	4	2	no	—
1522	C₂×C₄	—	4	2	no	—
1523	C₂×C₄	—	4	2	no	—
1524	C₂×C₄	—	4	2	no	—
1525	C₂×C₄	—	4	2	no	—
1526	C₂×C₄	—	8	1	no	—
1527	C₂×C₄	—	8	2	no	—
1528	C₂×C₄	—	8	2	no	—
1529	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1530	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1531	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1532	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1533	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1534	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1535	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1536	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1537	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1538	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
1539	C₂×C₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
1540	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1541	C₈	—	2	2	no	—
1542	C₈	—	2	2	no	—
1543	C₈	—	2	2	no	—
1544	C₈	C₂²×D₄×C₃₁	1	4	yes	—
1545	C₂²	—	2	1	no	—
1546	C₂²	—	2	1	no	—
1547	C₂²	—	2	1	no	—
1548	C₂²	—	2	1	no	—
1549	C₂²	—	2	1	no	—
1550	C₂²	—	2	1	no	—
1551	C₂²	—	2	1	no	—
1552	C₂²	—	2	2	no	—
1553	C₂²	—	2	4	no	—
1554	C₂²	—	2	1	no	—
1555	C₂²	—	2	1	no	—
1556	C₂²	—	2	1	no	—
1557	C₂²	—	2	1	no	—
1558	C₂²	—	2	1	no	—
1559	C₂²	—	2	1	no	—
1560	C₂²	—	4	4	no	—
1561	C₂²	—	4	8	no	—
1562	C₂²	—	4	1	no	—
1563	C₂²	—	4	2	no	—
1564	C₂²	—	4	2	no	—
1565	C₂²	—	4	1	no	—
1566	C₂²	—	4	1	no	—
1567	C₂²	—	4	1	no	—
1568	C₂²	—	4	2	no	—
1569	C₂²	—	4	1	no	—
1570	C₂²	—	4	1	no	—
1571	C₂²	—	4	2	no	—
1572	C₂²	—	4	2	no	—
1573	C₂²	—	4	1	no	—
1574	C₂²	—	4	1	no	—
1575	C₂²	—	8	2	no	—
1576	C₂²	—	8	8	no	—
1577	C₂²	—	8	4	no	—
1578	C₂²	—	8	4	no	—
1579	C₂²	—	8	8	no	—
1580	C₂²	—	8	4	no	—
1581	C₂²	D₄²×C₃₁	1	2	yes	—
1582	C₂²	C₃₁×#575	1	2	yes	complemented
1583	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	1	no	—
1587	C₄	—	2	1	no	—
1588	C₄	—	2	2	no	—
1589	C₄	—	2	1	no	—
1590	C₄	—	2	1	no	—
1591	C₄	—	2	1	no	—
1592	C₄	—	2	1	no	—
1593	C₄	—	4	2	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	2	no	—
1598	C₄	—	4	1	no	—
1599	C₄	D₄²×C₃₁	1	2	yes	—
1600	C₄	C₂³×D₄×C₃₁	1	1	yes	characteristic
1601	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1602	C₂	—	2	2	no	—
1603	C₂	—	2	2	no	—
1604	C₂	—	4	1	no	—
1605	C₂	—	4	1	no	—
1606	C₂	—	4	1	no	—
1607	C₂	—	4	4	no	—
1608	C₂	—	4	2	no	—
1609	C₂	—	8	2	no	—
1610	C₂	—	8	1	no	—
1611	C₂	—	8	1	no	—
1612	C₂	C₂×D₄²×C₃₁	1	1	yes	characteristic
1613	C₂	C₂×C₃₁×#575	1	1	yes	characteristic
1614	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 ◁ C₂×C₄×D₄×C₃₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃₁×#575	C₂	semidirect
2. C₂²×C₃₁×AGL(1,ℤ/8)	C₂	semidirect
3. D₄×#41×C₃₁	C₂	semidirect
4. C₂×C₃₁×#546	C₂	semidirect
5. C₃₁×#3282	C₂	semidirect
6. C₃₁×#3280	C₂	semidirect
7. C₃₁×#3275	C₂	semidirect
8. C₃₁×#3273	C₂	semidirect
9. C₃₁×#3268	C₂	semidirect
10. C₃₁×#3267	C₂	semidirect
11. C₃₁×#3266	C₂	semidirect
12. C₃₁×#3264	C₂	semidirect
13. C₃₁×#3153	C₂	semidirect
14. C₃₁×#3056	C₂	semidirect
15. C₃₁×#3055	C₂	semidirect
16. C₃₁×#3040	C₂	semidirect
17. C₃₁×#3036	C₂	semidirect
18. C₃₁×#3007	C₂	semidirect
19. C₃₁×#3006	C₂	semidirect
20. C₃₁×#3005	C₂	semidirect
21. C₃₁×#3003	C₂	semidirect
22. C₄×C₃₁×AGL(1,ℤ/8)	C₂	semidirect
23. D₄×M₁₆×C₃₁	C₂	semidirect
25. C₂²×#41×C₃₁	C₂²	semidirect
26. C₂²×#41×C₃₁	C₂²	semidirect
27. C₂³×D₄×C₃₁	C₂²	semidirect
29. C₂×C₃₁×#137	C₂²	semidirect
30. C₂×C₃₁×#137	C₂²	semidirect
31. C₂×C₃₁×#137	C₂²	semidirect
32. C₂×C₃₁×#137	C₂²	semidirect
36. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
37. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
38. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
39. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
40. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
41. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
42. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
43. C₂×C₃₁×#135	C₂²	semidirect
44. C₂×C₃₁×#135	C₂²	semidirect
45. C₂²×SD₁₆×C₃₁	C₂²	semidirect
46. C₂²×D₈×C₃₁	C₂²	semidirect
47. C₂²×M₁₆×C₃₁	C₂²	semidirect
48. C₂²×M₁₆×C₃₁	C₂²	semidirect
49. C₃₁×#550	C₂²	semidirect
50. D₄×Q₈×C₃₁	C₂²	semidirect
51. C₃₁×#548	C₂²	semidirect
52. C₃₁×#548	C₂²	semidirect
54. C₃₁×#547	C₂²	semidirect
62. C₃₁×#546	C₂²	semidirect
63. C₃₁×#546	C₂²	semidirect
64. C₃₁×#546	C₂²	semidirect
65. C₃₁×#546	C₂²	semidirect
66. C₃₁×#546	C₂²	semidirect
68. D₄²×C₃₁	C₂²	semidirect
70. C₃₁×#532	C₂²	semidirect
71. C₂×C₃₁×#124	C₂²	semidirect
75. C₃₁×#525	C₂²	semidirect
77. C₂×C₃₁×C₂²⋊Q₈	C₂²	semidirect
79. C₂×C₃₁×#121	C₂²	semidirect
81. C₄×#41×C₃₁	C₂²	semidirect
84. C₂×C₄×D₄×C₃₁	C₂²	semidirect
86. C₃₁×#497	C₂²	semidirect
87. C₃₁×#496	C₂²	semidirect
88. C₃₁×#495	C₂²	semidirect
89. C₃₁×#495	C₂²	semidirect
90. C₃₁×#470	C₂²	semidirect
91. C₃₁×#469	C₂²	semidirect
92. C₃₁×#468	C₂²	semidirect
93. C₃₁×#468	C₂²	semidirect
94. C₃₁×#467	C₂²	semidirect
95. C₃₁×#466	C₂²	semidirect
96. C₃₁×#465	C₂²	semidirect
97. C₃₁×#465	C₂²	semidirect
98. C₃₁×#464	C₂²	semidirect
99. C₃₁×#464	C₂²	semidirect
100. C₃₁×#463	C₂²	semidirect
101. C₃₁×#463	C₂²	semidirect
102. C₃₁×#463	C₂²	semidirect
103. C₃₁×#463	C₂²	semidirect
104. C₃₁×#461	C₂²	semidirect
105. C₃₁×#459	C₂²	semidirect
106. C₃₁×#452	C₂²	semidirect
107. C₃₁×#452	C₂²	semidirect
108. C₃₁×#452	C₂²	semidirect
109. C₃₁×#452	C₂²	semidirect
110. C₃₁×#451	C₂²	semidirect
111. C₃₁×#450	C₂²	semidirect
112. C₃₁×#450	C₂²	semidirect
113. C₃₁×#450	C₂²	semidirect
114. C₃₁×#449	C₂²	semidirect
115. C₃₁×#449	C₂²	semidirect
116. C₃₁×#449	C₂²	semidirect
117. C₃₁×#449	C₂²	semidirect
118. C₃₁×#448	C₂²	semidirect
119. C₃₁×#447	C₂²	semidirect
120. C₃₁×#447	C₂²	semidirect
121. C₃₁×#447	C₂²	semidirect
122. C₃₁×#442	C₂²	semidirect
123. C₃₁×#440	C₂²	semidirect
124. C₄×SD₁₆×C₃₁	C₂²	semidirect
125. C₄×D₈×C₃₁	C₂²	semidirect
126. C₃₁×#436	C₂²	semidirect
127. C₃₁×#435	C₂²	semidirect
128. C₃₁×#435	C₂²	semidirect
129. C₈×D₄×C₃₁	C₂²	semidirect
130. C₃₁×#428	C₂²	semidirect
131. C₃₁×#423	C₂²	semidirect
132. C₃₁×#419	C₂²	semidirect
133. C₃₁×#418	C₂²	semidirect
134. C₃₁×#418	C₂²	semidirect
135. C₃₁×#417	C₂²	semidirect
136. C₃₁×#417	C₂²	semidirect
137. C₃₁×#417	C₂²	semidirect
138. C₃₁×#407	C₂²	semidirect
139. C₃₁×#407	C₂²	semidirect
140. C₄×M₁₆×C₃₁	C₂²	semidirect
161. C₂×#41×C₃₁	C₂³	semidirect
162. C₂×#41×C₃₁	C₂³	semidirect
165. C₂²×Q₈×C₃₁	C₂³	semidirect
182. C₂²×D₄×C₃₁	C₂³	semidirect
201. C₃₁×AGL(1,ℤ/8)	D₄	semidirect
204. C₂×Q₁₆×C₃₁	C₂³	semidirect
205. C₂×Q₁₆×C₃₁	C₂³	semidirect
206. C₂×Q₁₆×C₃₁	C₂³	semidirect
214. C₂×SD₁₆×C₃₁	C₂³	semidirect
215. C₂×SD₁₆×C₃₁	C₂³	semidirect
216. C₂×SD₁₆×C₃₁	C₂³	semidirect
231. C₂×M₁₆×C₃₁	C₂³	semidirect
233. C₂²×C₈×C₃₁	C₂³	semidirect
235. C₃₁×C₄⋊Q₈	C₂³	semidirect
237. C₃₁×#127	C₂³	semidirect
244. C₃₁×#124	C₂³	semidirect
245. C₃₁×#124	C₂³	semidirect
266. C₃₁×C₂²⋊Q₈	C₂³	semidirect
267. C₃₁×C₂²⋊Q₈	C₂³	semidirect
288. C₃₁×#121	C₂³	semidirect
289. C₃₁×#121	C₂³	semidirect
300. C₄×Q₈×C₃₁	C₂³	semidirect
301. C₄×Q₈×C₃₁	C₂³	semidirect
326. C₄×D₄×C₃₁	C₂³	semidirect
327. C₄×D₄×C₃₁	C₂³	semidirect
349. C₃₁×#107	C₂³	semidirect
350. C₃₁×#106	C₂³	semidirect
351. C₃₁×C₄⋊C₈	C₂³	semidirect
352. C₃₁×C₄⋊C₈	C₂³	semidirect
353. C₃₁×#103	C₂³	semidirect
354. C₃₁×#103	C₂³	semidirect
355. C₃₁×#103	C₂³	semidirect
356. C₃₁×#103	C₂³	semidirect
357. C₃₁×#103	C₂³	semidirect
362. C₃₁×#102	C₂³	semidirect
363. C₃₁×#102	C₂³	semidirect
364. C₃₁×#102	C₂³	semidirect
367. C₃₁×C₂²⋊C₈	C₂³	semidirect
368. C₃₁×C₂²⋊C₈	C₂³	semidirect
369. C₃₁×#97	C₂³	semidirect
370. C₄×C₈×C₃₁	C₂³	semidirect
466. C₂×D₄×C₃₁	C₂×D₄	semidirect
521. SD₁₆×C₃₁	C₂×D₄	semidirect
527. D₈×C₃₁	C₂×D₄	semidirect
533. M₁₆×C₃₁	C₂×D₄	semidirect
598. #61066	C₃₁	direct (N × H)
738. C₂×#575	C₂×C₃₁	semidirect
739. C₂²×AGL(1,ℤ/8)	C₂×C₃₁	semidirect
740. D₄×#41	C₂×C₃₁	semidirect
741. C₂×#546	C₂×C₃₁	semidirect
742. #3282	C₂×C₃₁	semidirect
743. #3280	C₂×C₃₁	semidirect
744. #3275	C₂×C₃₁	semidirect
745. #3273	C₂×C₃₁	semidirect
746. #3268	C₂×C₃₁	semidirect
747. #3267	C₂×C₃₁	semidirect
748. #3266	C₂×C₃₁	semidirect
749. #3264	C₂×C₃₁	semidirect
750. #3153	C₂×C₃₁	semidirect
751. #3056	C₂×C₃₁	semidirect
752. #3055	C₂×C₃₁	semidirect
753. #3040	C₂×C₃₁	semidirect
754. #3036	C₂×C₃₁	semidirect
755. #3007	C₂×C₃₁	semidirect
756. #3006	C₂×C₃₁	semidirect
757. #3005	C₂×C₃₁	semidirect
758. #3003	C₂×C₃₁	semidirect
759. C₄×AGL(1,ℤ/8)	C₂×C₃₁	semidirect
760. D₄×M₁₆	C₂×C₃₁	semidirect
798. C₂²×C₃₁	#575	semidirect
819. C₂²×#41	C₂²×C₃₁	semidirect
820. C₂²×#41	C₂²×C₃₁	semidirect
821. C₂³×D₄	C₂²×C₃₁	semidirect
823. C₂×#137	C₂²×C₃₁	semidirect
824. C₂×#137	C₂²×C₃₁	semidirect
825. C₂×#137	C₂²×C₃₁	semidirect
826. C₂×#137	C₂²×C₃₁	semidirect
830. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
831. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
832. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
833. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
834. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
835. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
836. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
837. C₂×#135	C₂²×C₃₁	semidirect
838. C₂×#135	C₂²×C₃₁	semidirect
839. C₂²×SD₁₆	C₂²×C₃₁	semidirect
840. C₂²×D₈	C₂²×C₃₁	semidirect
841. C₂²×M₁₆	C₂²×C₃₁	semidirect
842. C₂²×M₁₆	C₂²×C₃₁	semidirect
843. #550	C₂²×C₃₁	semidirect
844. D₄×Q₈	C₂²×C₃₁	semidirect
845. #548	C₂²×C₃₁	semidirect
846. #548	C₂²×C₃₁	semidirect
848. #547	C₂²×C₃₁	semidirect
856. #546	C₂²×C₃₁	semidirect
857. #546	C₂²×C₃₁	semidirect
858. #546	C₂²×C₃₁	semidirect
859. #546	C₂²×C₃₁	semidirect
860. #546	C₂²×C₃₁	semidirect
862. D₄²	C₂²×C₃₁	semidirect
864. #532	C₂²×C₃₁	semidirect
865. C₂×#124	C₂²×C₃₁	semidirect
869. #525	C₂²×C₃₁	semidirect
871. C₂×C₂²⋊Q₈	C₂²×C₃₁	semidirect
873. C₂×#121	C₂²×C₃₁	semidirect
875. C₄×#41	C₂²×C₃₁	semidirect
878. C₂×C₄×D₄	C₂²×C₃₁	semidirect
880. #497	C₂²×C₃₁	semidirect
881. #496	C₂²×C₃₁	semidirect
882. #495	C₂²×C₃₁	semidirect
883. #495	C₂²×C₃₁	semidirect
884. #470	C₂²×C₃₁	semidirect
885. #469	C₂²×C₃₁	semidirect
886. #468	C₂²×C₃₁	semidirect
887. #468	C₂²×C₃₁	semidirect
888. #467	C₂²×C₃₁	semidirect
889. #466	C₂²×C₃₁	semidirect
890. #465	C₂²×C₃₁	semidirect
891. #465	C₂²×C₃₁	semidirect
892. #464	C₂²×C₃₁	semidirect
893. #464	C₂²×C₃₁	semidirect
894. #463	C₂²×C₃₁	semidirect
895. #463	C₂²×C₃₁	semidirect
896. #463	C₂²×C₃₁	semidirect
897. #463	C₂²×C₃₁	semidirect
898. #461	C₂²×C₃₁	semidirect
899. #459	C₂²×C₃₁	semidirect
900. #452	C₂²×C₃₁	semidirect
901. #452	C₂²×C₃₁	semidirect
902. #452	C₂²×C₃₁	semidirect
903. #452	C₂²×C₃₁	semidirect
904. #451	C₂²×C₃₁	semidirect
905. #450	C₂²×C₃₁	semidirect
906. #450	C₂²×C₃₁	semidirect
907. #450	C₂²×C₃₁	semidirect
908. #449	C₂²×C₃₁	semidirect
909. #449	C₂²×C₃₁	semidirect
910. #449	C₂²×C₃₁	semidirect
911. #449	C₂²×C₃₁	semidirect
912. #448	C₂²×C₃₁	semidirect
913. #447	C₂²×C₃₁	semidirect
914. #447	C₂²×C₃₁	semidirect
915. #447	C₂²×C₃₁	semidirect
916. #442	C₂²×C₃₁	semidirect
917. #440	C₂²×C₃₁	semidirect
918. C₄×SD₁₆	C₂²×C₃₁	semidirect
919. C₄×D₈	C₂²×C₃₁	semidirect
920. #436	C₂²×C₃₁	semidirect
921. #435	C₂²×C₃₁	semidirect
922. #435	C₂²×C₃₁	semidirect
923. C₈×D₄	C₂²×C₃₁	semidirect
924. #428	C₂²×C₃₁	semidirect
925. #423	C₂²×C₃₁	semidirect
926. #419	C₂²×C₃₁	semidirect
927. #418	C₂²×C₃₁	semidirect
928. #418	C₂²×C₃₁	semidirect
929. #417	C₂²×C₃₁	semidirect
930. #417	C₂²×C₃₁	semidirect
931. #417	C₂²×C₃₁	semidirect
932. #407	C₂²×C₃₁	semidirect
933. #407	C₂²×C₃₁	semidirect
934. C₄×M₁₆	C₂²×C₃₁	semidirect
968. C₂×#41	C₂³×C₃₁	semidirect
969. C₂×#41	C₂³×C₃₁	semidirect
972. C₂²×Q₈	C₂³×C₃₁	semidirect
989. C₂²×D₄	C₂³×C₃₁	semidirect
1008. AGL(1,ℤ/8)	D₄×C₃₁	semidirect
1011. C₂×Q₁₆	C₂³×C₃₁	semidirect
1012. C₂×Q₁₆	C₂³×C₃₁	semidirect
1013. C₂×Q₁₆	C₂³×C₃₁	semidirect
1021. C₂×SD₁₆	C₂³×C₃₁	semidirect
1022. C₂×SD₁₆	C₂³×C₃₁	semidirect
1023. C₂×SD₁₆	C₂³×C₃₁	semidirect
1038. C₂×M₁₆	C₂³×C₃₁	semidirect
1040. C₂²×C₈	C₂³×C₃₁	semidirect
1042. C₄⋊Q₈	C₂³×C₃₁	semidirect
1044. #127	C₂³×C₃₁	semidirect
1051. #124	C₂³×C₃₁	semidirect
1052. #124	C₂³×C₃₁	semidirect
1073. C₂²⋊Q₈	C₂³×C₃₁	semidirect
1074. C₂²⋊Q₈	C₂³×C₃₁	semidirect
1095. #121	C₂³×C₃₁	semidirect
1096. #121	C₂³×C₃₁	semidirect
1107. C₄×Q₈	C₂³×C₃₁	semidirect
1108. C₄×Q₈	C₂³×C₃₁	semidirect
1133. C₄×D₄	C₂³×C₃₁	semidirect
1134. C₄×D₄	C₂³×C₃₁	semidirect
1156. #107	C₂³×C₃₁	semidirect
1157. #106	C₂³×C₃₁	semidirect
1158. C₄⋊C₈	C₂³×C₃₁	semidirect
1159. C₄⋊C₈	C₂³×C₃₁	semidirect
1160. #103	C₂³×C₃₁	semidirect
1161. #103	C₂³×C₃₁	semidirect
1162. #103	C₂³×C₃₁	semidirect
1163. #103	C₂³×C₃₁	semidirect
1164. #103	C₂³×C₃₁	semidirect
1169. #102	C₂³×C₃₁	semidirect
1170. #102	C₂³×C₃₁	semidirect
1171. #102	C₂³×C₃₁	semidirect
1174. C₂²⋊C₈	C₂³×C₃₁	semidirect
1175. C₂²⋊C₈	C₂³×C₃₁	semidirect
1176. #97	C₂³×C₃₁	semidirect
1177. C₄×C₈	C₂³×C₃₁	semidirect
1178. C₃₁	#61066	direct (N × H)
1274. C₂×D₄	C₂×D₄×C₃₁	semidirect
1329. SD₁₆	C₂×D₄×C₃₁	semidirect
1335. D₈	C₂×D₄×C₃₁	semidirect
1341. M₁₆	C₂×D₄×C₃₁	semidirect
1582. C₂²	C₃₁×#575	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃₁×#575	2
C₂²×C₃₁×AGL(1,ℤ/8)	2
D₄×#41×C₃₁	2
C₂×C₃₁×#546	2
C₃₁×#3282	2
C₃₁×#3280	2
C₃₁×#3275	2
C₃₁×#3273	2
C₃₁×#3268	2
C₃₁×#3267	2
C₃₁×#3266	2
C₃₁×#3264	2
C₃₁×#3153	2
C₃₁×#3056	2
C₃₁×#3055	2
C₃₁×#3040	2
C₃₁×#3036	2
C₃₁×#3007	2
C₃₁×#3006	2
C₃₁×#3005	2
C₃₁×#3003	2
C₄×C₃₁×AGL(1,ℤ/8)	2
D₄×M₁₆×C₃₁	2
#61066	31

Subgroups — C31×#61066 #21517825

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61066 #21517825