Subgroups — C₃₁×#61612 #21518371

Order 7936.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3541	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3486	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3328	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3327	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3320	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3316	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3313	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3312	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3301	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3299	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×Q₁₆×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3285	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3277	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3276	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3270	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3270	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3270	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3269	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3225	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3223	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3202	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3201	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3196	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3191	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3127	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3013	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#3011	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#3004	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₃₁×#451	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃₁×#2976	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₃₁×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
33	C₂³×Q₈×C₃₁	C₂²	1	1	yes	characteristic
34	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic
35	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic
36	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic, complemented
39	C₂²×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
40	C₂²×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic
41	C₂²×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
42	C₃₁×#563	—	2	1	no	—
43	C₃₁×#562	—	2	1	no	—
44	C₃₁×#556	C₂²	1	1	yes	characteristic
45	C₃₁×#554	—	2	1	no	—
46	C₃₁×#554	C₂²	1	1	yes	characteristic
47	C₃₁×#553	—	2	1	no	—
48	C₃₁×#553	C₂²	1	1	yes	characteristic
49	C₃₁×#552	C₂²	1	1	yes	characteristic
50	D₄×Q₈×C₃₁	—	2	1	no	—
51	D₄×Q₈×C₃₁	—	2	1	no	—
52	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
53	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
54	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
55	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
56	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
57	C₃₁×#548	—	2	1	no	—
58	C₃₁×#548	—	2	1	no	—
59	C₃₁×#548	C₂²	1	1	yes	characteristic
60	C₃₁×#548	C₂²	1	1	yes	characteristic
61	C₃₁×#548	C₂²	1	1	yes	characteristic
62	C₃₁×#548	C₂²	1	1	yes	characteristic
63	C₃₁×#548	C₂²	1	1	yes	characteristic
64	C₃₁×#548	C₂²	1	1	yes	characteristic
65	C₃₁×#547	C₂²	1	1	yes	characteristic
66	C₃₁×#542	—	2	1	no	—
67	C₃₁×#542	C₂²	1	1	yes	characteristic
68	C₃₁×#541	C₂²	1	1	yes	characteristic
69	C₃₁×#539	—	2	1	no	—
70	C₃₁×#538	—	2	1	no	—
71	C₃₁×#538	—	2	1	no	—
72	C₃₁×#537	C₂²	1	1	yes	characteristic
73	C₃₁×#536	—	2	1	no	—
74	C₃₁×#536	—	2	1	no	—
75	C₃₁×#536	C₂²	1	1	yes	characteristic
76	C₃₁×#536	C₂²	1	1	yes	characteristic
77	C₃₁×#536	C₂²	1	1	yes	characteristic
78	C₃₁×#525	—	2	1	no	—
79	C₃₁×#525	—	2	1	no	—
80	C₃₁×#525	C₂²	1	1	yes	characteristic
81	C₃₁×#525	C₂²	1	1	yes	characteristic
82	C₃₁×#525	C₂²	1	1	yes	characteristic
83	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
84	C₃₁×#519	C₂²	1	1	yes	characteristic
85	C₃₁×#497	C₂²	1	1	yes	characteristic, complemented
86	C₃₁×#497	C₂²	1	1	yes	characteristic, complemented
87	C₃₁×#495	C₂²	1	1	yes	characteristic, complemented
88	C₃₁×#494	C₂²	1	1	yes	characteristic, complemented
89	C₃₁×#491	C₂²	1	1	yes	characteristic, complemented
90	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
91	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
92	C₃₁×#487	C₂²	1	1	yes	characteristic, complemented
93	C₃₁×#485	C₂²	1	1	yes	characteristic
94	C₃₁×#485	C₂²	1	1	yes	characteristic
95	C₃₁×#485	C₂²	1	1	yes	characteristic
96	C₃₁×#485	C₂²	1	1	yes	characteristic
97	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
98	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
99	C₃₁×#484	C₂²	1	1	yes	characteristic
100	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
101	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
102	C₃₁×#482	C₂²	1	1	yes	characteristic
103	C₃₁×#482	C₂²	1	1	yes	characteristic
104	C₃₁×#481	C₂²	1	1	yes	characteristic
105	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
106	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#477	C₂²	1	1	yes	characteristic, complemented
108	C₃₁×#475	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#470	C₂²	1	1	yes	characteristic
110	C₃₁×#470	C₂²	1	1	yes	characteristic
111	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
113	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
114	C₃₁×#468	C₂²	1	1	yes	characteristic
115	C₃₁×#468	C₂²	1	1	yes	characteristic
116	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
117	C₃₁×#467	C₂²	1	1	yes	characteristic
118	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
119	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
120	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
121	C₃₁×#466	C₂²	1	1	yes	characteristic
122	C₃₁×#465	C₂²	1	1	yes	characteristic
123	C₃₁×#465	C₂²	1	1	yes	characteristic
124	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
125	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
126	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
127	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
128	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
129	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
130	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
131	C₃₁×#462	C₂²	1	1	yes	characteristic, complemented
132	C₃₁×#462	C₂²	1	1	yes	characteristic, complemented
133	C₃₁×#462	C₂²	1	1	yes	characteristic, complemented
134	C₃₁×#462	C₂²	1	1	yes	characteristic, complemented
135	C₃₁×#462	C₂²	1	1	yes	characteristic, complemented
136	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
137	C₃₁×#452	C₂²	1	1	yes	characteristic
138	C₃₁×#452	C₂²	1	1	yes	characteristic
139	C₃₁×#452	C₂²	1	1	yes	characteristic
140	C₃₁×#452	C₂²	1	1	yes	characteristic
141	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
142	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
143	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
144	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
145	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
146	C₃₁×#451	C₂²	1	1	yes	characteristic
147	C₃₁×#451	C₂²	1	1	yes	characteristic
148	C₃₁×#451	C₂²	1	1	yes	characteristic
149	C₃₁×#451	C₂²	1	1	yes	characteristic
150	C₃₁×#451	C₂²	1	1	yes	characteristic
151	C₃₁×#451	C₂²	1	1	yes	characteristic
152	C₃₁×#451	C₂²	1	1	yes	characteristic
153	C₃₁×#451	C₂²	1	1	yes	characteristic
154	C₃₁×#451	C₂²	1	1	yes	characteristic
155	C₃₁×#451	C₂²	1	1	yes	characteristic
156	C₃₁×#451	C₂²	1	1	yes	characteristic
157	C₃₁×#451	C₂²	1	1	yes	characteristic
158	C₃₁×#451	C₂²	1	1	yes	characteristic
159	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
160	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
161	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
162	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
163	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
164	C₃₁×#449	C₂²	1	1	yes	characteristic
165	C₃₁×#449	C₂²	1	1	yes	characteristic
166	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
167	C₃₁×#448	C₂²	1	1	yes	characteristic
168	C₃₁×#448	C₂²	1	1	yes	characteristic
169	C₃₁×#448	C₂²	1	1	yes	characteristic
170	C₃₁×#448	C₂²	1	1	yes	characteristic
171	C₃₁×#448	C₂²	1	1	yes	characteristic
172	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
173	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
174	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
175	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
176	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
177	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
178	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
179	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
180	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
181	C₃₁×#436	C₂²	1	1	yes	characteristic
182	C₃₁×#436	C₂²	1	1	yes	characteristic
183	C₃₁×#435	C₂²	1	1	yes	characteristic
184	C₃₁×#435	C₂²	1	1	yes	characteristic
185	C₃₁×#435	C₂²	1	1	yes	characteristic
186	C₃₁×#435	C₂²	1	1	yes	characteristic
187	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic
188	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic
189	C₃₁×#433	C₂²	1	1	yes	characteristic
190	C₃₁×#433	C₂²	1	1	yes	characteristic
191	C₃₁×#419	C₂²	1	1	yes	characteristic
192	C₃₁×#419	C₂²	1	1	yes	characteristic
193	C₃₁×#419	C₂²	1	1	yes	characteristic, complemented
194	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
195	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₃₁×#103	C₂²	1	1	yes	characteristic
197	C₂×C₃₁×#103	C₂²	1	1	yes	characteristic
198	C₂×C₃₁×#103	C₂²	1	1	yes	characteristic, complemented
199	C₃₁×#408	C₂²	1	1	yes	characteristic
200	C₃₁×#408	C₂²	1	1	yes	characteristic
201	C₃₁×#407	C₂²	1	1	yes	characteristic
202	C₂×C₃₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
203	C₃₁×2₋¹⁺⁴	—	4	2	no	—
204	C₃₁×2₋¹⁺⁴	—	4	2	no	—
205	C₂×#41×C₃₁	—	2	1	no	—
206	C₂×#41×C₃₁	—	2	1	no	—
207	C₂×#41×C₃₁	—	2	1	no	—
208	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
209	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
210	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
211	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
212	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
213	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
214	C₂²×Q₈×C₃₁	—	2	1	no	—
215	C₂²×Q₈×C₃₁	—	2	1	no	—
216	C₂²×Q₈×C₃₁	—	2	1	no	—
217	C₂²×Q₈×C₃₁	—	2	1	no	—
218	C₂²×Q₈×C₃₁	—	4	2	no	—
219	C₂²×Q₈×C₃₁	—	4	2	no	—
220	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
221	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
222	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
223	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
224	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
225	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
226	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
227	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
228	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
229	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
230	C₂³×C₄×C₃₁	—	2	1	no	—
231	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
232	C₃₁×#137	—	4	2	no	—
233	C₃₁×#137	—	4	2	no	—
234	C₃₁×#137	—	4	2	no	—
235	C₃₁×#137	—	4	2	no	—
236	C₃₁×#135	—	4	2	no	—
237	C₂×Q₁₆×C₃₁	—	4	2	no	—
238	C₂×Q₁₆×C₃₁	—	4	2	no	—
239	C₂×Q₁₆×C₃₁	—	4	2	no	—
240	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
241	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
242	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
243	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
244	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
245	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
246	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
247	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
248	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
249	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
250	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
251	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
252	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
253	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
254	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
255	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
256	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
257	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
258	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
259	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
260	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
261	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
262	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
263	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
264	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
265	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
266	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
267	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
268	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
269	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
270	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
271	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
272	C₃₁×C₄⋊Q₈	—	2	1	no	—
273	C₃₁×C₄⋊Q₈	—	2	1	no	—
274	C₃₁×C₄⋊Q₈	—	2	1	no	—
275	C₃₁×C₄⋊Q₈	—	2	1	no	—
276	C₃₁×C₄⋊Q₈	—	2	1	no	—
277	C₃₁×C₄⋊Q₈	—	2	1	no	—
278	C₃₁×C₄⋊Q₈	—	2	1	no	—
279	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
280	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
281	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
282	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
283	C₃₁×#126	—	2	1	no	—
284	C₃₁×#126	—	2	1	no	—
285	C₃₁×#126	—	2	1	no	—
286	C₃₁×#126	—	2	1	no	—
287	C₃₁×#126	—	2	1	no	—
288	C₃₁×#126	—	2	1	no	—
289	C₃₁×#126	—	2	1	no	—
290	C₃₁×#125	—	2	1	no	—
291	C₃₁×#125	—	2	1	no	—
292	C₃₁×#125	—	2	1	no	—
293	C₃₁×#125	—	2	1	no	—
294	C₃₁×#125	C₂³	1	1	yes	characteristic
295	C₃₁×#124	—	2	1	no	—
296	C₃₁×#124	—	2	1	no	—
297	C₃₁×#124	—	2	1	no	—
298	C₃₁×#124	—	2	1	no	—
299	C₃₁×#124	—	2	1	no	—
300	C₃₁×#124	—	2	1	no	—
301	C₃₁×#124	—	2	1	no	—
302	C₃₁×#124	—	2	1	no	—
303	C₃₁×#124	—	2	1	no	—
304	C₃₁×#124	—	2	1	no	—
305	C₃₁×#124	C₂³	1	1	yes	characteristic
306	C₃₁×#124	C₂³	1	1	yes	characteristic
307	C₃₁×#124	C₂³	1	1	yes	characteristic
308	C₃₁×#123	—	2	1	no	—
309	C₃₁×#123	—	2	1	no	—
310	C₃₁×#123	—	2	1	no	—
311	C₃₁×#123	—	2	1	no	—
312	C₃₁×#123	—	2	1	no	—
313	C₃₁×#123	—	2	1	no	—
314	C₃₁×#123	—	2	1	no	—
315	C₃₁×#123	—	2	1	no	—
316	C₃₁×#123	—	2	1	no	—
317	C₃₁×#123	—	2	1	no	—
318	C₃₁×#123	—	2	1	no	—
319	C₃₁×#123	—	2	1	no	—
320	C₃₁×#123	—	2	1	no	—
321	C₃₁×#123	D₄	1	1	yes	characteristic
322	C₃₁×#123	D₄	1	1	yes	characteristic
323	C₃₁×C₂²⋊Q₈	—	2	1	no	—
324	C₃₁×C₂²⋊Q₈	—	2	1	no	—
325	C₃₁×C₂²⋊Q₈	—	2	1	no	—
326	C₃₁×C₂²⋊Q₈	—	2	1	no	—
327	C₃₁×C₂²⋊Q₈	—	2	1	no	—
328	C₃₁×C₂²⋊Q₈	—	2	1	no	—
329	C₃₁×C₂²⋊Q₈	—	2	1	no	—
330	C₃₁×C₂²⋊Q₈	—	2	1	no	—
331	C₃₁×C₂²⋊Q₈	—	2	1	no	—
332	C₃₁×C₂²⋊Q₈	—	2	1	no	—
333	C₃₁×C₂²⋊Q₈	—	2	1	no	—
334	C₃₁×C₂²⋊Q₈	—	2	1	no	—
335	C₃₁×C₂²⋊Q₈	—	2	1	no	—
336	C₃₁×C₂²⋊Q₈	—	2	1	no	—
337	C₃₁×C₂²⋊Q₈	—	2	1	no	—
338	C₃₁×C₂²⋊Q₈	—	2	1	no	—
339	C₃₁×C₂²⋊Q₈	—	2	1	no	—
340	C₃₁×C₂²⋊Q₈	—	2	1	no	—
341	C₃₁×C₂²⋊Q₈	—	2	1	no	—
342	C₃₁×C₂²⋊Q₈	—	2	1	no	—
343	C₃₁×C₂²⋊Q₈	—	2	1	no	—
344	C₃₁×C₂²⋊Q₈	—	2	1	no	—
345	C₃₁×C₂²⋊Q₈	—	2	1	no	—
346	C₃₁×C₂²⋊Q₈	—	2	1	no	—
347	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
348	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
349	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
350	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
351	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
352	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
353	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
354	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
355	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
356	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
357	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
358	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
359	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
360	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
361	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
362	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
363	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
364	C₃₁×#121	—	2	1	no	—
365	C₃₁×#121	—	2	1	no	—
366	C₃₁×#121	—	2	1	no	—
367	C₃₁×#121	—	2	1	no	—
368	C₃₁×#121	—	2	1	no	—
369	C₃₁×#121	—	2	1	no	—
370	C₃₁×#121	—	2	1	no	—
371	C₃₁×#121	—	2	1	no	—
372	C₃₁×#121	—	2	1	no	—
373	C₃₁×#121	—	2	1	no	—
374	C₃₁×#121	—	2	1	no	—
375	C₃₁×#121	D₄	1	1	yes	characteristic
376	C₃₁×#121	D₄	1	1	yes	characteristic
377	C₃₁×#121	C₂³	1	1	yes	characteristic
378	C₃₁×#121	C₂³	1	1	yes	characteristic
379	C₃₁×#121	C₂³	1	1	yes	characteristic
380	C₃₁×#121	C₂³	1	1	yes	characteristic
381	C₃₁×#121	C₂³	1	1	yes	characteristic
382	C₃₁×#120	—	2	1	no	—
383	C₃₁×#120	—	2	1	no	—
384	C₃₁×#120	D₄	1	1	yes	characteristic
385	C₃₁×#120	D₄	1	1	yes	characteristic
386	C₄×Q₈×C₃₁	—	2	1	no	—
387	C₄×Q₈×C₃₁	—	2	1	no	—
388	C₄×Q₈×C₃₁	—	2	1	no	—
389	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
390	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
391	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
392	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
393	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
394	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
395	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
396	C₄×D₄×C₃₁	—	2	1	no	—
397	C₄×D₄×C₃₁	—	2	1	no	—
398	C₄×D₄×C₃₁	—	2	1	no	—
399	C₄×D₄×C₃₁	—	2	1	no	—
400	C₄×D₄×C₃₁	—	2	1	no	—
401	C₄×D₄×C₃₁	—	2	1	no	—
402	C₄×D₄×C₃₁	—	2	1	no	—
403	C₄×D₄×C₃₁	—	2	1	no	—
404	C₄×D₄×C₃₁	—	2	1	no	—
405	C₄×D₄×C₃₁	—	2	1	no	—
406	C₄×D₄×C₃₁	—	2	1	no	—
407	C₄×D₄×C₃₁	—	2	1	no	—
408	C₄×D₄×C₃₁	—	2	1	no	—
409	C₄×D₄×C₃₁	—	2	1	no	—
410	C₄×D₄×C₃₁	—	2	1	no	—
411	C₄×D₄×C₃₁	—	2	1	no	—
412	C₄×D₄×C₃₁	—	2	1	no	—
413	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
414	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
415	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
416	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
417	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
418	C₃₁×#117	—	2	1	no	—
419	C₃₁×#117	—	2	1	no	—
420	C₃₁×#117	—	2	1	no	—
421	C₃₁×#117	C₂³	1	1	yes	characteristic
422	C₃₁×#117	C₂³	1	1	yes	characteristic
423	C₃₁×#117	C₂³	1	1	yes	characteristic
424	C₃₁×#117	C₂³	1	1	yes	characteristic
425	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
426	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
427	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
428	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
429	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
430	C₃₁×#107	C₂³	1	1	yes	characteristic
431	C₃₁×#107	C₂³	1	1	yes	characteristic
432	C₃₁×#107	C₂³	1	1	yes	characteristic
433	C₃₁×#107	C₂³	1	1	yes	characteristic
434	C₃₁×#106	C₂³	1	1	yes	characteristic
435	C₃₁×#106	C₂³	1	1	yes	characteristic
436	C₃₁×#106	C₂³	1	1	yes	characteristic
437	C₃₁×#106	C₂³	1	1	yes	characteristic
438	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
441	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
442	C₃₁×#103	C₂³	1	1	yes	characteristic
443	C₃₁×#103	C₂³	1	1	yes	characteristic
444	C₃₁×#103	C₂³	1	1	yes	characteristic
445	C₃₁×#103	C₂³	1	1	yes	characteristic
446	C₃₁×#103	C₂³	1	1	yes	characteristic
447	C₃₁×#103	C₂³	1	1	yes	characteristic
448	C₃₁×#103	C₂³	1	1	yes	characteristic
449	C₃₁×#103	C₂³	1	1	yes	characteristic
450	C₃₁×#103	C₂³	1	1	yes	characteristic
451	C₃₁×#103	C₂³	1	1	yes	characteristic
452	C₃₁×#103	C₂³	1	1	yes	characteristic
453	C₃₁×#103	C₂³	1	1	yes	characteristic
454	C₃₁×#103	C₂³	1	1	yes	characteristic
455	C₃₁×#103	C₂³	1	1	yes	characteristic
456	C₃₁×#103	C₂³	1	1	yes	characteristic
457	C₃₁×#103	C₂³	1	1	yes	characteristic
458	C₃₁×#103	C₂³	1	1	yes	characteristic
459	C₃₁×#103	C₂³	1	1	yes	characteristic
460	C₃₁×#103	C₂³	1	1	yes	characteristic
461	C₃₁×#103	C₂³	1	1	yes	characteristic
462	C₃₁×#103	C₂³	1	1	yes	characteristic
463	C₃₁×#103	C₂³	1	1	yes	characteristic
464	C₃₁×#103	C₂³	1	1	yes	characteristic
465	C₃₁×#103	C₂³	1	1	yes	characteristic
466	C₃₁×#103	C₂³	1	1	yes	characteristic
467	C₃₁×#103	C₂³	1	1	yes	characteristic
468	C₃₁×#102	C₂³	1	1	yes	characteristic
469	C₃₁×#102	C₂³	1	1	yes	characteristic
470	C₃₁×#102	C₂³	1	1	yes	characteristic
471	C₃₁×#102	C₂³	1	1	yes	characteristic
472	C₃₁×#102	C₂³	1	1	yes	characteristic
473	C₃₁×#102	C₂³	1	1	yes	characteristic
474	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
479	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
480	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
481	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
482	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
483	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
484	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
485	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
486	C₃₁×#97	C₂³	1	1	yes	characteristic
487	C₃₁×#97	C₂³	1	1	yes	characteristic
488	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
489	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
490	C₂⁴×C₃₁	C₂×D₄	1	1	yes	characteristic
491	#41×C₃₁	—	2	2	no	—
492	#41×C₃₁	—	2	2	no	—
493	#41×C₃₁	—	4	1	no	—
494	#41×C₃₁	—	4	1	no	—
495	#41×C₃₁	—	4	1	no	—
496	#41×C₃₁	—	4	1	no	—
497	#41×C₃₁	—	4	1	no	—
498	#41×C₃₁	—	4	1	no	—
499	#41×C₃₁	—	4	4	no	—
500	#41×C₃₁	—	4	4	no	—
501	#41×C₃₁	—	4	1	no	—
502	#41×C₃₁	—	4	1	no	—
503	#41×C₃₁	—	4	1	no	—
504	#41×C₃₁	—	4	1	no	—
505	#41×C₃₁	—	4	4	no	—
506	C₂×Q₈×C₃₁	—	2	2	no	—
507	C₂×Q₈×C₃₁	—	2	2	no	—
508	C₂×Q₈×C₃₁	—	2	1	no	—
509	C₂×Q₈×C₃₁	—	2	1	no	—
510	C₂×Q₈×C₃₁	—	2	1	no	—
511	C₂×Q₈×C₃₁	—	2	1	no	—
512	C₂×Q₈×C₃₁	—	2	1	no	—
513	C₂×Q₈×C₃₁	—	2	1	no	—
514	C₂×Q₈×C₃₁	—	2	1	no	—
515	C₂×Q₈×C₃₁	—	2	1	no	—
516	C₂×Q₈×C₃₁	—	2	1	no	—
517	C₂×Q₈×C₃₁	—	2	1	no	—
518	C₂×Q₈×C₃₁	—	2	1	no	—
519	C₂×Q₈×C₃₁	—	2	2	no	—
520	C₂×Q₈×C₃₁	—	2	2	no	—
521	C₂×Q₈×C₃₁	—	2	2	no	—
522	C₂×Q₈×C₃₁	—	2	2	no	—
523	C₂×Q₈×C₃₁	—	2	2	no	—
524	C₂×Q₈×C₃₁	—	2	2	no	—
525	C₂×Q₈×C₃₁	—	4	1	no	—
526	C₂×Q₈×C₃₁	—	4	1	no	—
527	C₂×Q₈×C₃₁	—	4	1	no	—
528	C₂×Q₈×C₃₁	—	4	1	no	—
529	C₂×Q₈×C₃₁	—	4	1	no	—
530	C₂×Q₈×C₃₁	—	4	1	no	—
531	C₂×Q₈×C₃₁	—	4	1	no	—
532	C₂×Q₈×C₃₁	—	4	1	no	—
533	C₂×Q₈×C₃₁	—	4	4	no	—
534	C₂×Q₈×C₃₁	—	4	1	no	—
535	C₂×Q₈×C₃₁	—	4	1	no	—
536	C₂×Q₈×C₃₁	—	4	1	no	—
537	C₂×Q₈×C₃₁	—	4	1	no	—
538	C₂×Q₈×C₃₁	—	4	4	no	—
539	C₂×Q₈×C₃₁	—	4	4	no	—
540	C₂×Q₈×C₃₁	—	4	4	no	—
541	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
542	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
543	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
544	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
545	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
546	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
547	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
548	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
549	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
550	C₂×D₄×C₃₁	—	2	1	no	—
551	C₂×D₄×C₃₁	—	2	1	no	—
552	C₂×D₄×C₃₁	—	2	1	no	—
553	C₂×D₄×C₃₁	—	2	1	no	—
554	C₂×D₄×C₃₁	—	2	1	no	—
555	C₂×D₄×C₃₁	—	2	1	no	—
556	C₂×D₄×C₃₁	—	2	1	no	—
557	C₂×D₄×C₃₁	—	2	1	no	—
558	C₂×D₄×C₃₁	—	2	1	no	—
559	C₂×D₄×C₃₁	—	2	1	no	—
560	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
561	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
562	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
563	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
564	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
565	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
566	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
567	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
568	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	1	no	—
574	C₂²×C₄×C₃₁	—	2	1	no	—
575	C₂²×C₄×C₃₁	—	2	1	no	—
576	C₂²×C₄×C₃₁	—	2	1	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	—	2	1	no	—
584	C₂²×C₄×C₃₁	—	2	1	no	—
585	C₂²×C₄×C₃₁	—	2	1	no	—
586	C₂²×C₄×C₃₁	—	2	1	no	—
587	C₂²×C₄×C₃₁	—	4	1	no	—
588	C₂²×C₄×C₃₁	—	4	1	no	—
589	C₂²×C₄×C₃₁	—	4	4	no	—
590	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
591	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
592	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
593	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
594	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
595	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
596	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
597	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
598	Q₁₆×C₃₁	—	2	2	no	—
599	Q₁₆×C₃₁	—	2	2	no	—
600	Q₁₆×C₃₁	—	2	2	no	—
601	Q₁₆×C₃₁	—	2	2	no	—
602	Q₁₆×C₃₁	—	2	2	no	—
603	Q₁₆×C₃₁	—	2	2	no	—
604	Q₁₆×C₃₁	—	4	1	no	—
605	Q₁₆×C₃₁	—	4	1	no	—
606	Q₁₆×C₃₁	—	4	1	no	—
607	Q₁₆×C₃₁	—	4	1	no	—
608	Q₁₆×C₃₁	—	4	1	no	—
609	Q₁₆×C₃₁	—	4	1	no	—
610	Q₁₆×C₃₁	—	4	1	no	—
611	Q₁₆×C₃₁	—	4	1	no	—
612	Q₁₆×C₃₁	—	4	1	no	—
613	SD₁₆×C₃₁	—	2	2	no	—
614	SD₁₆×C₃₁	—	2	2	no	—
615	SD₁₆×C₃₁	—	4	1	no	—
616	SD₁₆×C₃₁	—	4	1	no	—
617	SD₁₆×C₃₁	—	4	1	no	—
618	SD₁₆×C₃₁	—	4	1	no	—
619	SD₁₆×C₃₁	—	4	1	no	—
620	SD₁₆×C₃₁	—	4	1	no	—
621	D₈×C₃₁	—	4	1	no	—
622	M₁₆×C₃₁	—	4	1	no	—
623	M₁₆×C₃₁	—	4	1	no	—
624	M₁₆×C₃₁	—	4	1	no	—
625	M₁₆×C₃₁	—	4	1	no	—
626	C₂×C₈×C₃₁	—	4	1	no	—
627	C₂×C₈×C₃₁	—	4	1	no	—
628	C₂×C₈×C₃₁	—	4	1	no	—
629	C₂×C₈×C₃₁	—	4	1	no	—
630	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
631	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
632	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
633	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
634	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
635	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
636	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
637	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
638	C₄⋊C₄×C₃₁	—	2	1	no	—
639	C₄⋊C₄×C₃₁	—	2	1	no	—
640	C₄⋊C₄×C₃₁	—	2	1	no	—
641	C₄⋊C₄×C₃₁	—	2	1	no	—
642	C₄⋊C₄×C₃₁	—	2	1	no	—
643	C₄⋊C₄×C₃₁	—	2	1	no	—
644	C₄⋊C₄×C₃₁	—	2	1	no	—
645	C₄⋊C₄×C₃₁	—	2	1	no	—
646	C₄⋊C₄×C₃₁	—	2	1	no	—
647	C₄⋊C₄×C₃₁	—	2	1	no	—
648	C₄⋊C₄×C₃₁	—	2	1	no	—
649	C₄⋊C₄×C₃₁	—	2	1	no	—
650	C₄⋊C₄×C₃₁	—	2	1	no	—
651	C₄⋊C₄×C₃₁	—	2	1	no	—
652	C₄⋊C₄×C₃₁	—	2	1	no	—
653	C₄⋊C₄×C₃₁	—	2	1	no	—
654	C₄⋊C₄×C₃₁	—	2	1	no	—
655	C₄⋊C₄×C₃₁	—	2	1	no	—
656	C₄⋊C₄×C₃₁	—	2	1	no	—
657	C₄⋊C₄×C₃₁	—	2	1	no	—
658	C₄⋊C₄×C₃₁	—	2	1	no	—
659	C₄⋊C₄×C₃₁	—	2	1	no	—
660	C₄⋊C₄×C₃₁	—	2	1	no	—
661	C₄⋊C₄×C₃₁	—	2	1	no	—
662	C₄⋊C₄×C₃₁	—	2	1	no	—
663	C₄⋊C₄×C₃₁	—	2	1	no	—
664	C₄⋊C₄×C₃₁	—	2	1	no	—
665	C₄⋊C₄×C₃₁	—	2	1	no	—
666	C₄⋊C₄×C₃₁	—	2	1	no	—
667	C₄⋊C₄×C₃₁	—	2	1	no	—
668	C₄⋊C₄×C₃₁	—	2	1	no	—
669	C₄⋊C₄×C₃₁	—	2	1	no	—
670	C₄⋊C₄×C₃₁	—	2	1	no	—
671	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
672	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
673	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
674	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
675	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
676	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
677	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
678	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
679	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
680	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
681	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
682	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
683	C₂²⋊C₄×C₃₁	—	2	1	no	—
684	C₂²⋊C₄×C₃₁	—	2	1	no	—
685	C₂²⋊C₄×C₃₁	—	2	1	no	—
686	C₂²⋊C₄×C₃₁	—	2	1	no	—
687	C₂²⋊C₄×C₃₁	—	2	1	no	—
688	C₂²⋊C₄×C₃₁	—	2	1	no	—
689	C₂²⋊C₄×C₃₁	—	2	1	no	—
690	C₂²⋊C₄×C₃₁	—	2	1	no	—
691	C₂²⋊C₄×C₃₁	—	2	1	no	—
692	C₂²⋊C₄×C₃₁	—	2	1	no	—
693	C₂²⋊C₄×C₃₁	—	2	1	no	—
694	C₂²⋊C₄×C₃₁	—	2	1	no	—
695	C₂²⋊C₄×C₃₁	—	2	1	no	—
696	C₂²⋊C₄×C₃₁	—	2	1	no	—
697	C₂²⋊C₄×C₃₁	—	2	1	no	—
698	C₂²⋊C₄×C₃₁	—	2	1	no	—
699	C₂²⋊C₄×C₃₁	—	2	1	no	—
700	C₂²⋊C₄×C₃₁	—	2	1	no	—
701	C₂²⋊C₄×C₃₁	—	2	1	no	—
702	C₂²⋊C₄×C₃₁	—	2	1	no	—
703	C₂²⋊C₄×C₃₁	—	2	1	no	—
704	C₂²⋊C₄×C₃₁	—	2	1	no	—
705	C₂²⋊C₄×C₃₁	—	2	1	no	—
706	C₂²⋊C₄×C₃₁	—	2	1	no	—
707	C₂²⋊C₄×C₃₁	—	2	1	no	—
708	C₂²⋊C₄×C₃₁	—	2	1	no	—
709	C₂²⋊C₄×C₃₁	—	2	1	no	—
710	C₂²⋊C₄×C₃₁	—	2	1	no	—
711	C₂²⋊C₄×C₃₁	—	2	1	no	—
712	C₂²⋊C₄×C₃₁	—	2	1	no	—
713	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
714	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
715	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
716	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
717	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
718	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
719	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
720	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
721	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
722	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
723	C₄²×C₃₁	—	2	1	no	—
724	C₄²×C₃₁	—	2	1	no	—
725	C₄²×C₃₁	—	2	1	no	—
726	C₄²×C₃₁	—	2	1	no	—
727	C₄²×C₃₁	—	2	1	no	—
728	C₄²×C₃₁	—	2	1	no	—
729	C₄²×C₃₁	—	2	1	no	—
730	C₄²×C₃₁	—	2	1	no	—
731	C₄²×C₃₁	—	2	1	no	—
732	C₄²×C₃₁	—	2	1	no	—
733	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
734	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
735	#61612	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
736	C₂³×C₃₁	—	2	2	no	—
737	C₂³×C₃₁	—	2	1	no	—
738	C₂³×C₃₁	—	2	1	no	—
739	C₂³×C₃₁	—	4	1	no	—
740	C₂³×C₃₁	—	4	1	no	—
741	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
742	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
743	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
744	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
745	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
746	Q₈×C₃₁	—	2	4	no	—
747	Q₈×C₃₁	—	2	1	no	—
748	Q₈×C₃₁	—	2	1	no	—
749	Q₈×C₃₁	—	2	1	no	—
750	Q₈×C₃₁	—	2	1	no	—
751	Q₈×C₃₁	—	2	1	no	—
752	Q₈×C₃₁	—	2	1	no	—
753	Q₈×C₃₁	—	2	1	no	—
754	Q₈×C₃₁	—	2	1	no	—
755	Q₈×C₃₁	—	2	1	no	—
756	Q₈×C₃₁	—	2	1	no	—
757	Q₈×C₃₁	—	2	1	no	—
758	Q₈×C₃₁	—	2	1	no	—
759	Q₈×C₃₁	—	2	1	no	—
760	Q₈×C₃₁	—	2	1	no	—
761	Q₈×C₃₁	—	4	1	no	—
762	Q₈×C₃₁	—	4	2	no	—
763	Q₈×C₃₁	—	4	2	no	—
764	Q₈×C₃₁	—	4	2	no	—
765	Q₈×C₃₁	—	4	2	no	—
766	Q₈×C₃₁	—	4	2	no	—
767	Q₈×C₃₁	—	4	2	no	—
768	Q₈×C₃₁	—	4	2	no	—
769	Q₈×C₃₁	—	8	1	no	—
770	Q₈×C₃₁	—	8	1	no	—
771	Q₈×C₃₁	—	8	1	no	—
772	Q₈×C₃₁	H(5,𝔽₂)	1	2	yes	—
773	Q₈×C₃₁	H(5,𝔽₂)	1	2	yes	—
774	D₄×C₃₁	—	2	2	no	—
775	D₄×C₃₁	—	2	2	no	—
776	D₄×C₃₁	—	2	1	no	—
777	D₄×C₃₁	—	2	1	no	—
778	D₄×C₃₁	—	2	1	no	—
779	D₄×C₃₁	—	2	1	no	—
780	D₄×C₃₁	—	4	1	no	—
781	D₄×C₃₁	—	4	1	no	—
782	D₄×C₃₁	—	4	1	no	—
783	D₄×C₃₁	—	4	1	no	—
784	D₄×C₃₁	—	4	1	no	—
785	D₄×C₃₁	—	4	2	no	—
786	D₄×C₃₁	—	4	2	no	—
787	D₄×C₃₁	—	4	2	no	—
788	D₄×C₃₁	—	4	2	no	—
789	D₄×C₃₁	—	4	2	no	—
790	D₄×C₃₁	—	4	2	no	—
791	D₄×C₃₁	—	8	1	no	—
792	D₄×C₃₁	—	8	1	no	—
793	D₄×C₃₁	—	8	1	no	—
794	D₄×C₃₁	—	8	1	no	—
795	C₂×C₄×C₃₁	—	2	4	no	—
796	C₂×C₄×C₃₁	—	2	1	no	—
797	C₂×C₄×C₃₁	—	2	1	no	—
798	C₂×C₄×C₃₁	—	2	1	no	—
799	C₂×C₄×C₃₁	—	2	1	no	—
800	C₂×C₄×C₃₁	—	2	1	no	—
801	C₂×C₄×C₃₁	—	2	1	no	—
802	C₂×C₄×C₃₁	—	2	1	no	—
803	C₂×C₄×C₃₁	—	2	1	no	—
804	C₂×C₄×C₃₁	—	2	1	no	—
805	C₂×C₄×C₃₁	—	2	1	no	—
806	C₂×C₄×C₃₁	—	2	1	no	—
807	C₂×C₄×C₃₁	—	2	1	no	—
808	C₂×C₄×C₃₁	—	2	1	no	—
809	C₂×C₄×C₃₁	—	2	1	no	—
810	C₂×C₄×C₃₁	—	2	1	no	—
811	C₂×C₄×C₃₁	—	2	1	no	—
812	C₂×C₄×C₃₁	—	2	1	no	—
813	C₂×C₄×C₃₁	—	2	1	no	—
814	C₂×C₄×C₃₁	—	2	1	no	—
815	C₂×C₄×C₃₁	—	2	1	no	—
816	C₂×C₄×C₃₁	—	2	1	no	—
817	C₂×C₄×C₃₁	—	2	1	no	—
818	C₂×C₄×C₃₁	—	2	1	no	—
819	C₂×C₄×C₃₁	—	2	1	no	—
820	C₂×C₄×C₃₁	—	4	1	no	—
821	C₂×C₄×C₃₁	—	4	1	no	—
822	C₂×C₄×C₃₁	—	4	1	no	—
823	C₂×C₄×C₃₁	—	4	2	no	—
824	C₂×C₄×C₃₁	—	4	2	no	—
825	C₂×C₄×C₃₁	—	4	2	no	—
826	C₂×C₄×C₃₁	—	4	2	no	—
827	C₂×C₄×C₃₁	—	4	2	no	—
828	C₂×C₄×C₃₁	—	4	2	no	—
829	C₂×C₄×C₃₁	—	4	2	no	—
830	C₂×C₄×C₃₁	—	4	2	no	—
831	C₂×C₄×C₃₁	—	4	2	no	—
832	C₂×C₄×C₃₁	—	4	2	no	—
833	C₂×C₄×C₃₁	—	8	1	no	—
834	C₂×C₄×C₃₁	—	8	1	no	—
835	C₂×C₄×C₃₁	—	8	1	no	—
836	C₂×C₄×C₃₁	—	8	1	no	—
837	C₂×C₄×C₃₁	—	8	1	no	—
838	C₂×C₄×C₃₁	—	8	1	no	—
839	C₂×C₄×C₃₁	—	8	1	no	—
840	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
841	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
842	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
843	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
844	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
845	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
846	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
847	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
848	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
849	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
850	C₈×C₃₁	—	2	1	no	—
851	C₈×C₃₁	—	2	1	no	—
852	C₈×C₃₁	—	2	1	no	—
853	C₈×C₃₁	—	2	1	no	—
854	C₈×C₃₁	—	2	1	no	—
855	C₈×C₃₁	—	2	1	no	—
856	C₈×C₃₁	—	2	1	no	—
857	C₈×C₃₁	—	2	1	no	—
858	#3541	C₂×C₃₁	1	1	yes	characteristic, complemented
859	#3486	C₂×C₃₁	1	1	yes	characteristic, complemented
860	#3328	C₂×C₃₁	1	1	yes	characteristic, complemented
861	#3327	C₂×C₃₁	1	1	yes	characteristic, complemented
862	#3320	C₂×C₃₁	1	1	yes	characteristic, complemented
863	#3316	C₂×C₃₁	1	1	yes	characteristic, complemented
864	#3313	C₂×C₃₁	1	1	yes	characteristic, complemented
865	#3312	C₂×C₃₁	1	1	yes	characteristic, complemented
866	#3301	C₂×C₃₁	1	1	yes	characteristic, complemented
867	#3299	C₂×C₃₁	1	1	yes	characteristic, complemented
868	D₄×Q₁₆	C₂×C₃₁	1	1	yes	characteristic, complemented
869	#3285	C₂×C₃₁	1	1	yes	characteristic, complemented
870	#3277	C₂×C₃₁	1	1	yes	characteristic, complemented
871	#3276	C₂×C₃₁	1	1	yes	characteristic, complemented
872	#3270	C₂×C₃₁	1	1	yes	characteristic, complemented
873	#3270	C₂×C₃₁	1	1	yes	characteristic, complemented
874	#3270	C₂×C₃₁	1	1	yes	characteristic, complemented
875	#3269	C₂×C₃₁	1	1	yes	characteristic, complemented
876	#3225	C₂×C₃₁	1	1	yes	characteristic, complemented
877	#3223	C₂×C₃₁	1	1	yes	characteristic, complemented
878	#3202	C₂×C₃₁	1	1	yes	characteristic, complemented
879	#3201	C₂×C₃₁	1	1	yes	characteristic, complemented
880	#3196	C₂×C₃₁	1	1	yes	characteristic, complemented
881	#3191	C₂×C₃₁	1	1	yes	characteristic, complemented
882	#3127	C₂×C₃₁	1	1	yes	characteristic, complemented
883	#3121	C₂×C₃₁	1	1	yes	characteristic, complemented
884	#3013	C₂×C₃₁	1	1	yes	characteristic, complemented
885	#3011	C₂×C₃₁	1	1	yes	characteristic, complemented
886	#3004	C₂×C₃₁	1	1	yes	characteristic, complemented
887	C₂×#451	C₂×C₃₁	1	1	yes	characteristic, complemented
888	#2976	C₂×C₃₁	1	1	yes	characteristic, complemented
889	C₂²×C₃₁	—	2	1	no	—
890	C₂²×C₃₁	—	2	1	no	—
891	C₂²×C₃₁	—	2	1	no	—
892	C₂²×C₃₁	—	2	1	no	—
893	C₂²×C₃₁	—	2	1	no	—
894	C₂²×C₃₁	—	2	1	no	—
895	C₂²×C₃₁	—	2	1	no	—
896	C₂²×C₃₁	—	2	1	no	—
897	C₂²×C₃₁	—	2	1	no	—
898	C₂²×C₃₁	—	2	1	no	—
899	C₂²×C₃₁	—	2	1	no	—
900	C₂²×C₃₁	—	2	1	no	—
901	C₂²×C₃₁	—	2	1	no	—
902	C₂²×C₃₁	—	2	1	no	—
903	C₂²×C₃₁	—	4	4	no	—
904	C₂²×C₃₁	—	4	1	no	—
905	C₂²×C₃₁	—	4	1	no	—
906	C₂²×C₃₁	—	4	1	no	—
907	C₂²×C₃₁	—	4	1	no	—
908	C₂²×C₃₁	—	4	1	no	—
909	C₂²×C₃₁	—	4	1	no	—
910	C₂²×C₃₁	#578	1	2	yes	—
911	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
912	C₄×C₃₁	—	2	1	no	—
913	C₄×C₃₁	—	2	1	no	—
914	C₄×C₃₁	—	2	2	no	—
915	C₄×C₃₁	—	2	2	no	—
916	C₄×C₃₁	—	2	1	no	—
917	C₄×C₃₁	—	2	1	no	—
918	C₄×C₃₁	—	2	1	no	—
919	C₄×C₃₁	—	2	1	no	—
920	C₄×C₃₁	—	2	1	no	—
921	C₄×C₃₁	—	2	1	no	—
922	C₄×C₃₁	—	2	1	no	—
923	C₄×C₃₁	—	4	1	no	—
924	C₄×C₃₁	—	4	1	no	—
925	C₄×C₃₁	—	4	1	no	—
926	C₄×C₃₁	—	4	1	no	—
927	C₄×C₃₁	—	4	1	no	—
928	C₄×C₃₁	—	4	1	no	—
929	C₄×C₃₁	—	4	1	no	—
930	C₄×C₃₁	—	4	1	no	—
931	C₄×C₃₁	—	4	1	no	—
932	C₄×C₃₁	—	4	1	no	—
933	C₄×C₃₁	—	4	1	no	—
934	C₄×C₃₁	—	4	1	no	—
935	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
936	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
937	C₂×2₋¹⁺⁴	C₂²×C₃₁	1	1	yes	characteristic
938	C₂³×Q₈	C₂²×C₃₁	1	1	yes	characteristic
939	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic
940	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic
941	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic, complemented
942	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic, complemented
943	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic, complemented
944	C₂²×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
945	C₂²×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic
946	C₂²×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
947	#563	—	2	1	no	—
948	#562	—	2	1	no	—
949	#556	C₂²×C₃₁	1	1	yes	characteristic
950	#554	—	2	1	no	—
951	#554	C₂²×C₃₁	1	1	yes	characteristic
952	#553	—	2	1	no	—
953	#553	C₂²×C₃₁	1	1	yes	characteristic
954	#552	C₂²×C₃₁	1	1	yes	characteristic
955	D₄×Q₈	—	2	1	no	—
956	D₄×Q₈	—	2	1	no	—
957	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
958	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
959	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
960	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
961	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
962	#548	—	2	1	no	—
963	#548	—	2	1	no	—
964	#548	C₂²×C₃₁	1	1	yes	characteristic
965	#548	C₂²×C₃₁	1	1	yes	characteristic
966	#548	C₂²×C₃₁	1	1	yes	characteristic
967	#548	C₂²×C₃₁	1	1	yes	characteristic
968	#548	C₂²×C₃₁	1	1	yes	characteristic
969	#548	C₂²×C₃₁	1	1	yes	characteristic
970	#547	C₂²×C₃₁	1	1	yes	characteristic
971	#542	—	2	1	no	—
972	#542	C₂²×C₃₁	1	1	yes	characteristic
973	#541	C₂²×C₃₁	1	1	yes	characteristic
974	#539	—	2	1	no	—
975	#538	—	2	1	no	—
976	#538	—	2	1	no	—
977	#537	C₂²×C₃₁	1	1	yes	characteristic
978	#536	—	2	1	no	—
979	#536	—	2	1	no	—
980	#536	C₂²×C₃₁	1	1	yes	characteristic
981	#536	C₂²×C₃₁	1	1	yes	characteristic
982	#536	C₂²×C₃₁	1	1	yes	characteristic
983	#525	—	2	1	no	—
984	#525	—	2	1	no	—
985	#525	C₂²×C₃₁	1	1	yes	characteristic
986	#525	C₂²×C₃₁	1	1	yes	characteristic
987	#525	C₂²×C₃₁	1	1	yes	characteristic
988	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
989	#519	C₂²×C₃₁	1	1	yes	characteristic
990	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
991	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
992	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
993	#494	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	#491	C₂²×C₃₁	1	1	yes	characteristic, complemented
995	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
996	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
997	#487	C₂²×C₃₁	1	1	yes	characteristic, complemented
998	#485	C₂²×C₃₁	1	1	yes	characteristic
999	#485	C₂²×C₃₁	1	1	yes	characteristic
1000	#485	C₂²×C₃₁	1	1	yes	characteristic
1001	#485	C₂²×C₃₁	1	1	yes	characteristic
1002	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
1003	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
1004	#484	C₂²×C₃₁	1	1	yes	characteristic
1005	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
1006	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
1007	#482	C₂²×C₃₁	1	1	yes	characteristic
1008	#482	C₂²×C₃₁	1	1	yes	characteristic
1009	#481	C₂²×C₃₁	1	1	yes	characteristic
1010	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
1011	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
1012	#477	C₂²×C₃₁	1	1	yes	characteristic, complemented
1013	#475	C₂²×C₃₁	1	1	yes	characteristic, complemented
1014	#470	C₂²×C₃₁	1	1	yes	characteristic
1015	#470	C₂²×C₃₁	1	1	yes	characteristic
1016	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
1017	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
1018	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
1019	#468	C₂²×C₃₁	1	1	yes	characteristic
1020	#468	C₂²×C₃₁	1	1	yes	characteristic
1021	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1022	#467	C₂²×C₃₁	1	1	yes	characteristic
1023	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	#466	C₂²×C₃₁	1	1	yes	characteristic
1027	#465	C₂²×C₃₁	1	1	yes	characteristic
1028	#465	C₂²×C₃₁	1	1	yes	characteristic
1029	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1030	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1031	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1032	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1033	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1034	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1035	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1036	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
1037	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
1038	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
1039	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
1040	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
1041	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1042	#452	C₂²×C₃₁	1	1	yes	characteristic
1043	#452	C₂²×C₃₁	1	1	yes	characteristic
1044	#452	C₂²×C₃₁	1	1	yes	characteristic
1045	#452	C₂²×C₃₁	1	1	yes	characteristic
1046	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1048	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1049	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1050	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1051	#451	C₂²×C₃₁	1	1	yes	characteristic
1052	#451	C₂²×C₃₁	1	1	yes	characteristic
1053	#451	C₂²×C₃₁	1	1	yes	characteristic
1054	#451	C₂²×C₃₁	1	1	yes	characteristic
1055	#451	C₂²×C₃₁	1	1	yes	characteristic
1056	#451	C₂²×C₃₁	1	1	yes	characteristic
1057	#451	C₂²×C₃₁	1	1	yes	characteristic
1058	#451	C₂²×C₃₁	1	1	yes	characteristic
1059	#451	C₂²×C₃₁	1	1	yes	characteristic
1060	#451	C₂²×C₃₁	1	1	yes	characteristic
1061	#451	C₂²×C₃₁	1	1	yes	characteristic
1062	#451	C₂²×C₃₁	1	1	yes	characteristic
1063	#451	C₂²×C₃₁	1	1	yes	characteristic
1064	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1065	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1066	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1067	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1068	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1069	#449	C₂²×C₃₁	1	1	yes	characteristic
1070	#449	C₂²×C₃₁	1	1	yes	characteristic
1071	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1072	#448	C₂²×C₃₁	1	1	yes	characteristic
1073	#448	C₂²×C₃₁	1	1	yes	characteristic
1074	#448	C₂²×C₃₁	1	1	yes	characteristic
1075	#448	C₂²×C₃₁	1	1	yes	characteristic
1076	#448	C₂²×C₃₁	1	1	yes	characteristic
1077	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1078	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1079	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1080	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1081	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1082	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1083	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1084	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1085	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1086	#436	C₂²×C₃₁	1	1	yes	characteristic
1087	#436	C₂²×C₃₁	1	1	yes	characteristic
1088	#435	C₂²×C₃₁	1	1	yes	characteristic
1089	#435	C₂²×C₃₁	1	1	yes	characteristic
1090	#435	C₂²×C₃₁	1	1	yes	characteristic
1091	#435	C₂²×C₃₁	1	1	yes	characteristic
1092	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic
1093	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic
1094	#433	C₂²×C₃₁	1	1	yes	characteristic
1095	#433	C₂²×C₃₁	1	1	yes	characteristic
1096	#419	C₂²×C₃₁	1	1	yes	characteristic
1097	#419	C₂²×C₃₁	1	1	yes	characteristic
1098	#419	C₂²×C₃₁	1	1	yes	characteristic, complemented
1099	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1100	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1101	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic
1102	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic
1103	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic, complemented
1104	#408	C₂²×C₃₁	1	1	yes	characteristic
1105	#408	C₂²×C₃₁	1	1	yes	characteristic
1106	#407	C₂²×C₃₁	1	1	yes	characteristic
1107	C₂×C₂²⋊C₈	C₂²×C₃₁	1	1	yes	characteristic
1108	C₂×C₃₁	—	2	2	no	—
1109	C₂×C₃₁	—	4	1	no	—
1110	C₂×C₃₁	—	4	1	no	—
1111	C₂×C₃₁	—	4	1	no	—
1112	C₂×C₃₁	—	4	1	no	—
1113	C₂×C₃₁	—	8	1	no	—
1114	C₂×C₃₁	—	8	1	no	—
1115	C₂×C₃₁	#3484	1	1	yes	characteristic
1116	C₂×C₃₁	C₂×#578	1	1	yes	characteristic
1117	C₂×C₃₁	#3586	1	1	yes	characteristic
1118	2₋¹⁺⁴	—	4	2	no	—
1119	2₋¹⁺⁴	—	4	2	no	—
1120	C₂×#41	—	2	1	no	—
1121	C₂×#41	—	2	1	no	—
1122	C₂×#41	—	2	1	no	—
1123	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1124	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1125	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1126	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1127	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1128	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1129	C₂²×Q₈	—	2	1	no	—
1130	C₂²×Q₈	—	2	1	no	—
1131	C₂²×Q₈	—	2	1	no	—
1132	C₂²×Q₈	—	2	1	no	—
1133	C₂²×Q₈	—	4	2	no	—
1134	C₂²×Q₈	—	4	2	no	—
1135	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1136	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1137	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1138	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1139	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1140	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1141	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1142	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1143	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1144	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1145	C₂³×C₄	—	2	1	no	—
1146	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1147	#137	—	4	2	no	—
1148	#137	—	4	2	no	—
1149	#137	—	4	2	no	—
1150	#137	—	4	2	no	—
1151	#135	—	4	2	no	—
1152	C₂×Q₁₆	—	4	2	no	—
1153	C₂×Q₁₆	—	4	2	no	—
1154	C₂×Q₁₆	—	4	2	no	—
1155	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1156	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1157	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1158	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1159	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1160	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1161	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1162	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1163	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1164	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1165	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1166	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1167	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1168	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1169	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1170	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1171	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1172	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1173	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1174	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1175	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1176	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1177	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1178	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1179	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1180	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1181	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1182	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1183	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1184	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1185	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1186	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1187	C₄⋊Q₈	—	2	1	no	—
1188	C₄⋊Q₈	—	2	1	no	—
1189	C₄⋊Q₈	—	2	1	no	—
1190	C₄⋊Q₈	—	2	1	no	—
1191	C₄⋊Q₈	—	2	1	no	—
1192	C₄⋊Q₈	—	2	1	no	—
1193	C₄⋊Q₈	—	2	1	no	—
1194	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1195	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1196	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1197	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1198	#126	—	2	1	no	—
1199	#126	—	2	1	no	—
1200	#126	—	2	1	no	—
1201	#126	—	2	1	no	—
1202	#126	—	2	1	no	—
1203	#126	—	2	1	no	—
1204	#126	—	2	1	no	—
1205	#125	—	2	1	no	—
1206	#125	—	2	1	no	—
1207	#125	—	2	1	no	—
1208	#125	—	2	1	no	—
1209	#125	C₂³×C₃₁	1	1	yes	characteristic
1210	#124	—	2	1	no	—
1211	#124	—	2	1	no	—
1212	#124	—	2	1	no	—
1213	#124	—	2	1	no	—
1214	#124	—	2	1	no	—
1215	#124	—	2	1	no	—
1216	#124	—	2	1	no	—
1217	#124	—	2	1	no	—
1218	#124	—	2	1	no	—
1219	#124	—	2	1	no	—
1220	#124	C₂³×C₃₁	1	1	yes	characteristic
1221	#124	C₂³×C₃₁	1	1	yes	characteristic
1222	#124	C₂³×C₃₁	1	1	yes	characteristic
1223	#123	—	2	1	no	—
1224	#123	—	2	1	no	—
1225	#123	—	2	1	no	—
1226	#123	—	2	1	no	—
1227	#123	—	2	1	no	—
1228	#123	—	2	1	no	—
1229	#123	—	2	1	no	—
1230	#123	—	2	1	no	—
1231	#123	—	2	1	no	—
1232	#123	—	2	1	no	—
1233	#123	—	2	1	no	—
1234	#123	—	2	1	no	—
1235	#123	—	2	1	no	—
1236	#123	D₄×C₃₁	1	1	yes	characteristic
1237	#123	D₄×C₃₁	1	1	yes	characteristic
1238	C₂²⋊Q₈	—	2	1	no	—
1239	C₂²⋊Q₈	—	2	1	no	—
1240	C₂²⋊Q₈	—	2	1	no	—
1241	C₂²⋊Q₈	—	2	1	no	—
1242	C₂²⋊Q₈	—	2	1	no	—
1243	C₂²⋊Q₈	—	2	1	no	—
1244	C₂²⋊Q₈	—	2	1	no	—
1245	C₂²⋊Q₈	—	2	1	no	—
1246	C₂²⋊Q₈	—	2	1	no	—
1247	C₂²⋊Q₈	—	2	1	no	—
1248	C₂²⋊Q₈	—	2	1	no	—
1249	C₂²⋊Q₈	—	2	1	no	—
1250	C₂²⋊Q₈	—	2	1	no	—
1251	C₂²⋊Q₈	—	2	1	no	—
1252	C₂²⋊Q₈	—	2	1	no	—
1253	C₂²⋊Q₈	—	2	1	no	—
1254	C₂²⋊Q₈	—	2	1	no	—
1255	C₂²⋊Q₈	—	2	1	no	—
1256	C₂²⋊Q₈	—	2	1	no	—
1257	C₂²⋊Q₈	—	2	1	no	—
1258	C₂²⋊Q₈	—	2	1	no	—
1259	C₂²⋊Q₈	—	2	1	no	—
1260	C₂²⋊Q₈	—	2	1	no	—
1261	C₂²⋊Q₈	—	2	1	no	—
1262	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1263	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1264	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1265	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1266	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1267	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1268	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1269	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1270	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1271	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1272	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1273	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1274	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1275	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1276	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1277	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1278	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1279	#121	—	2	1	no	—
1280	#121	—	2	1	no	—
1281	#121	—	2	1	no	—
1282	#121	—	2	1	no	—
1283	#121	—	2	1	no	—
1284	#121	—	2	1	no	—
1285	#121	—	2	1	no	—
1286	#121	—	2	1	no	—
1287	#121	—	2	1	no	—
1288	#121	—	2	1	no	—
1289	#121	—	2	1	no	—
1290	#121	D₄×C₃₁	1	1	yes	characteristic
1291	#121	D₄×C₃₁	1	1	yes	characteristic
1292	#121	C₂³×C₃₁	1	1	yes	characteristic
1293	#121	C₂³×C₃₁	1	1	yes	characteristic
1294	#121	C₂³×C₃₁	1	1	yes	characteristic
1295	#121	C₂³×C₃₁	1	1	yes	characteristic
1296	#121	C₂³×C₃₁	1	1	yes	characteristic
1297	#120	—	2	1	no	—
1298	#120	—	2	1	no	—
1299	#120	D₄×C₃₁	1	1	yes	characteristic
1300	#120	D₄×C₃₁	1	1	yes	characteristic
1301	C₄×Q₈	—	2	1	no	—
1302	C₄×Q₈	—	2	1	no	—
1303	C₄×Q₈	—	2	1	no	—
1304	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1305	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1306	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1307	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1308	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1309	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1310	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1311	C₄×D₄	—	2	1	no	—
1312	C₄×D₄	—	2	1	no	—
1313	C₄×D₄	—	2	1	no	—
1314	C₄×D₄	—	2	1	no	—
1315	C₄×D₄	—	2	1	no	—
1316	C₄×D₄	—	2	1	no	—
1317	C₄×D₄	—	2	1	no	—
1318	C₄×D₄	—	2	1	no	—
1319	C₄×D₄	—	2	1	no	—
1320	C₄×D₄	—	2	1	no	—
1321	C₄×D₄	—	2	1	no	—
1322	C₄×D₄	—	2	1	no	—
1323	C₄×D₄	—	2	1	no	—
1324	C₄×D₄	—	2	1	no	—
1325	C₄×D₄	—	2	1	no	—
1326	C₄×D₄	—	2	1	no	—
1327	C₄×D₄	—	2	1	no	—
1328	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1329	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1330	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1331	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1332	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1333	#117	—	2	1	no	—
1334	#117	—	2	1	no	—
1335	#117	—	2	1	no	—
1336	#117	C₂³×C₃₁	1	1	yes	characteristic
1337	#117	C₂³×C₃₁	1	1	yes	characteristic
1338	#117	C₂³×C₃₁	1	1	yes	characteristic
1339	#117	C₂³×C₃₁	1	1	yes	characteristic
1340	C₂×C₄⋊C₄	—	2	1	no	—
1341	C₂×C₄⋊C₄	—	2	1	no	—
1342	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1343	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1344	C₂×C₂²⋊C₄	—	2	1	no	—
1345	#107	C₂³×C₃₁	1	1	yes	characteristic
1346	#107	C₂³×C₃₁	1	1	yes	characteristic
1347	#107	C₂³×C₃₁	1	1	yes	characteristic
1348	#107	C₂³×C₃₁	1	1	yes	characteristic
1349	#106	C₂³×C₃₁	1	1	yes	characteristic
1350	#106	C₂³×C₃₁	1	1	yes	characteristic
1351	#106	C₂³×C₃₁	1	1	yes	characteristic
1352	#106	C₂³×C₃₁	1	1	yes	characteristic
1353	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1354	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1355	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1356	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1357	#103	C₂³×C₃₁	1	1	yes	characteristic
1358	#103	C₂³×C₃₁	1	1	yes	characteristic
1359	#103	C₂³×C₃₁	1	1	yes	characteristic
1360	#103	C₂³×C₃₁	1	1	yes	characteristic
1361	#103	C₂³×C₃₁	1	1	yes	characteristic
1362	#103	C₂³×C₃₁	1	1	yes	characteristic
1363	#103	C₂³×C₃₁	1	1	yes	characteristic
1364	#103	C₂³×C₃₁	1	1	yes	characteristic
1365	#103	C₂³×C₃₁	1	1	yes	characteristic
1366	#103	C₂³×C₃₁	1	1	yes	characteristic
1367	#103	C₂³×C₃₁	1	1	yes	characteristic
1368	#103	C₂³×C₃₁	1	1	yes	characteristic
1369	#103	C₂³×C₃₁	1	1	yes	characteristic
1370	#103	C₂³×C₃₁	1	1	yes	characteristic
1371	#103	C₂³×C₃₁	1	1	yes	characteristic
1372	#103	C₂³×C₃₁	1	1	yes	characteristic
1373	#103	C₂³×C₃₁	1	1	yes	characteristic
1374	#103	C₂³×C₃₁	1	1	yes	characteristic
1375	#103	C₂³×C₃₁	1	1	yes	characteristic
1376	#103	C₂³×C₃₁	1	1	yes	characteristic
1377	#103	C₂³×C₃₁	1	1	yes	characteristic
1378	#103	C₂³×C₃₁	1	1	yes	characteristic
1379	#103	C₂³×C₃₁	1	1	yes	characteristic
1380	#103	C₂³×C₃₁	1	1	yes	characteristic
1381	#103	C₂³×C₃₁	1	1	yes	characteristic
1382	#103	C₂³×C₃₁	1	1	yes	characteristic
1383	#102	C₂³×C₃₁	1	1	yes	characteristic
1384	#102	C₂³×C₃₁	1	1	yes	characteristic
1385	#102	C₂³×C₃₁	1	1	yes	characteristic
1386	#102	C₂³×C₃₁	1	1	yes	characteristic
1387	#102	C₂³×C₃₁	1	1	yes	characteristic
1388	#102	C₂³×C₃₁	1	1	yes	characteristic
1389	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1390	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1391	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1392	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1393	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1394	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1395	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1396	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1397	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1398	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1399	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1400	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1401	#97	C₂³×C₃₁	1	1	yes	characteristic
1402	#97	C₂³×C₃₁	1	1	yes	characteristic
1403	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1404	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1405	C₃₁	#61612	1	1	yes	characteristic, direct product factor, Sylow
1406	C₂⁴	C₂×D₄×C₃₁	1	1	yes	characteristic
1407	#41	—	2	2	no	—
1408	#41	—	2	2	no	—
1409	#41	—	4	1	no	—
1410	#41	—	4	1	no	—
1411	#41	—	4	1	no	—
1412	#41	—	4	1	no	—
1413	#41	—	4	1	no	—
1414	#41	—	4	1	no	—
1415	#41	—	4	4	no	—
1416	#41	—	4	4	no	—
1417	#41	—	4	1	no	—
1418	#41	—	4	1	no	—
1419	#41	—	4	1	no	—
1420	#41	—	4	1	no	—
1421	#41	—	4	4	no	—
1422	C₂×Q₈	—	2	2	no	—
1423	C₂×Q₈	—	2	2	no	—
1424	C₂×Q₈	—	2	1	no	—
1425	C₂×Q₈	—	2	1	no	—
1426	C₂×Q₈	—	2	1	no	—
1427	C₂×Q₈	—	2	1	no	—
1428	C₂×Q₈	—	2	1	no	—
1429	C₂×Q₈	—	2	1	no	—
1430	C₂×Q₈	—	2	1	no	—
1431	C₂×Q₈	—	2	1	no	—
1432	C₂×Q₈	—	2	1	no	—
1433	C₂×Q₈	—	2	1	no	—
1434	C₂×Q₈	—	2	1	no	—
1435	C₂×Q₈	—	2	2	no	—
1436	C₂×Q₈	—	2	2	no	—
1437	C₂×Q₈	—	2	2	no	—
1438	C₂×Q₈	—	2	2	no	—
1439	C₂×Q₈	—	2	2	no	—
1440	C₂×Q₈	—	2	2	no	—
1441	C₂×Q₈	—	4	1	no	—
1442	C₂×Q₈	—	4	1	no	—
1443	C₂×Q₈	—	4	1	no	—
1444	C₂×Q₈	—	4	1	no	—
1445	C₂×Q₈	—	4	1	no	—
1446	C₂×Q₈	—	4	1	no	—
1447	C₂×Q₈	—	4	1	no	—
1448	C₂×Q₈	—	4	1	no	—
1449	C₂×Q₈	—	4	4	no	—
1450	C₂×Q₈	—	4	1	no	—
1451	C₂×Q₈	—	4	1	no	—
1452	C₂×Q₈	—	4	1	no	—
1453	C₂×Q₈	—	4	1	no	—
1454	C₂×Q₈	—	4	4	no	—
1455	C₂×Q₈	—	4	4	no	—
1456	C₂×Q₈	—	4	4	no	—
1457	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1458	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1459	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1460	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1461	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1462	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1463	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1464	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1465	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1466	C₂×D₄	—	2	1	no	—
1467	C₂×D₄	—	2	1	no	—
1468	C₂×D₄	—	2	1	no	—
1469	C₂×D₄	—	2	1	no	—
1470	C₂×D₄	—	2	1	no	—
1471	C₂×D₄	—	2	1	no	—
1472	C₂×D₄	—	2	1	no	—
1473	C₂×D₄	—	2	1	no	—
1474	C₂×D₄	—	2	1	no	—
1475	C₂×D₄	—	2	1	no	—
1476	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1477	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1478	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1479	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1480	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1481	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1482	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1483	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1484	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1485	C₂²×C₄	—	2	1	no	—
1486	C₂²×C₄	—	2	1	no	—
1487	C₂²×C₄	—	2	1	no	—
1488	C₂²×C₄	—	2	1	no	—
1489	C₂²×C₄	—	2	1	no	—
1490	C₂²×C₄	—	2	1	no	—
1491	C₂²×C₄	—	2	1	no	—
1492	C₂²×C₄	—	2	1	no	—
1493	C₂²×C₄	—	2	1	no	—
1494	C₂²×C₄	—	2	1	no	—
1495	C₂²×C₄	—	2	1	no	—
1496	C₂²×C₄	—	2	1	no	—
1497	C₂²×C₄	—	2	1	no	—
1498	C₂²×C₄	—	2	1	no	—
1499	C₂²×C₄	—	2	1	no	—
1500	C₂²×C₄	—	2	1	no	—
1501	C₂²×C₄	—	2	1	no	—
1502	C₂²×C₄	—	2	1	no	—
1503	C₂²×C₄	—	4	1	no	—
1504	C₂²×C₄	—	4	1	no	—
1505	C₂²×C₄	—	4	4	no	—
1506	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1507	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1508	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1509	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1510	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1511	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1512	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1513	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1514	Q₁₆	—	2	2	no	—
1515	Q₁₆	—	2	2	no	—
1516	Q₁₆	—	2	2	no	—
1517	Q₁₆	—	2	2	no	—
1518	Q₁₆	—	2	2	no	—
1519	Q₁₆	—	2	2	no	—
1520	Q₁₆	—	4	1	no	—
1521	Q₁₆	—	4	1	no	—
1522	Q₁₆	—	4	1	no	—
1523	Q₁₆	—	4	1	no	—
1524	Q₁₆	—	4	1	no	—
1525	Q₁₆	—	4	1	no	—
1526	Q₁₆	—	4	1	no	—
1527	Q₁₆	—	4	1	no	—
1528	Q₁₆	—	4	1	no	—
1529	SD₁₆	—	2	2	no	—
1530	SD₁₆	—	2	2	no	—
1531	SD₁₆	—	4	1	no	—
1532	SD₁₆	—	4	1	no	—
1533	SD₁₆	—	4	1	no	—
1534	SD₁₆	—	4	1	no	—
1535	SD₁₆	—	4	1	no	—
1536	SD₁₆	—	4	1	no	—
1537	D₈	—	4	1	no	—
1538	M₁₆	—	4	1	no	—
1539	M₁₆	—	4	1	no	—
1540	M₁₆	—	4	1	no	—
1541	M₁₆	—	4	1	no	—
1542	C₂×C₈	—	4	1	no	—
1543	C₂×C₈	—	4	1	no	—
1544	C₂×C₈	—	4	1	no	—
1545	C₂×C₈	—	4	1	no	—
1546	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1547	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1548	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1549	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1550	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1551	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1552	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1553	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	2	1	no	—
1558	C₄⋊C₄	—	2	1	no	—
1559	C₄⋊C₄	—	2	1	no	—
1560	C₄⋊C₄	—	2	1	no	—
1561	C₄⋊C₄	—	2	1	no	—
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	2	1	no	—
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	2	1	no	—
1567	C₄⋊C₄	—	2	1	no	—
1568	C₄⋊C₄	—	2	1	no	—
1569	C₄⋊C₄	—	2	1	no	—
1570	C₄⋊C₄	—	2	1	no	—
1571	C₄⋊C₄	—	2	1	no	—
1572	C₄⋊C₄	—	2	1	no	—
1573	C₄⋊C₄	—	2	1	no	—
1574	C₄⋊C₄	—	2	1	no	—
1575	C₄⋊C₄	—	2	1	no	—
1576	C₄⋊C₄	—	2	1	no	—
1577	C₄⋊C₄	—	2	1	no	—
1578	C₄⋊C₄	—	2	1	no	—
1579	C₄⋊C₄	—	2	1	no	—
1580	C₄⋊C₄	—	2	1	no	—
1581	C₄⋊C₄	—	2	1	no	—
1582	C₄⋊C₄	—	2	1	no	—
1583	C₄⋊C₄	—	2	1	no	—
1584	C₄⋊C₄	—	2	1	no	—
1585	C₄⋊C₄	—	2	1	no	—
1586	C₄⋊C₄	—	2	1	no	—
1587	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1588	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1589	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1590	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1591	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1592	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1593	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1594	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1595	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1596	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1597	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1598	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	2	1	no	—
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	2	1	no	—
1604	C₂²⋊C₄	—	2	1	no	—
1605	C₂²⋊C₄	—	2	1	no	—
1606	C₂²⋊C₄	—	2	1	no	—
1607	C₂²⋊C₄	—	2	1	no	—
1608	C₂²⋊C₄	—	2	1	no	—
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	2	1	no	—
1615	C₂²⋊C₄	—	2	1	no	—
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	2	1	no	—
1619	C₂²⋊C₄	—	2	1	no	—
1620	C₂²⋊C₄	—	2	1	no	—
1621	C₂²⋊C₄	—	2	1	no	—
1622	C₂²⋊C₄	—	2	1	no	—
1623	C₂²⋊C₄	—	2	1	no	—
1624	C₂²⋊C₄	—	2	1	no	—
1625	C₂²⋊C₄	—	2	1	no	—
1626	C₂²⋊C₄	—	2	1	no	—
1627	C₂²⋊C₄	—	2	1	no	—
1628	C₂²⋊C₄	—	2	1	no	—
1629	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1630	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1631	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1632	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1633	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1634	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1635	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1636	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1637	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1638	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1639	C₄²	—	2	1	no	—
1640	C₄²	—	2	1	no	—
1641	C₄²	—	2	1	no	—
1642	C₄²	—	2	1	no	—
1643	C₄²	—	2	1	no	—
1644	C₄²	—	2	1	no	—
1645	C₄²	—	2	1	no	—
1646	C₄²	—	2	1	no	—
1647	C₄²	—	2	1	no	—
1648	C₄²	—	2	1	no	—
1649	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1650	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1651	C₂³	—	2	2	no	—
1652	C₂³	—	2	1	no	—
1653	C₂³	—	2	1	no	—
1654	C₂³	—	4	1	no	—
1655	C₂³	—	4	1	no	—
1656	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1657	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1658	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1659	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1660	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1661	Q₈	—	2	4	no	—
1662	Q₈	—	2	1	no	—
1663	Q₈	—	2	1	no	—
1664	Q₈	—	2	1	no	—
1665	Q₈	—	2	1	no	—
1666	Q₈	—	2	1	no	—
1667	Q₈	—	2	1	no	—
1668	Q₈	—	2	1	no	—
1669	Q₈	—	2	1	no	—
1670	Q₈	—	2	1	no	—
1671	Q₈	—	2	1	no	—
1672	Q₈	—	2	1	no	—
1673	Q₈	—	2	1	no	—
1674	Q₈	—	2	1	no	—
1675	Q₈	—	2	1	no	—
1676	Q₈	—	4	1	no	—
1677	Q₈	—	4	2	no	—
1678	Q₈	—	4	2	no	—
1679	Q₈	—	4	2	no	—
1680	Q₈	—	4	2	no	—
1681	Q₈	—	4	2	no	—
1682	Q₈	—	4	2	no	—
1683	Q₈	—	4	2	no	—
1684	Q₈	—	8	1	no	—
1685	Q₈	—	8	1	no	—
1686	Q₈	—	8	1	no	—
1687	Q₈	C₃₁×H(5,𝔽₂)	1	2	yes	—
1688	Q₈	C₃₁×H(5,𝔽₂)	1	2	yes	—
1689	D₄	—	2	2	no	—
1690	D₄	—	2	2	no	—
1691	D₄	—	2	1	no	—
1692	D₄	—	2	1	no	—
1693	D₄	—	2	1	no	—
1694	D₄	—	2	1	no	—
1695	D₄	—	4	1	no	—
1696	D₄	—	4	1	no	—
1697	D₄	—	4	1	no	—
1698	D₄	—	4	1	no	—
1699	D₄	—	4	1	no	—
1700	D₄	—	4	2	no	—
1701	D₄	—	4	2	no	—
1702	D₄	—	4	2	no	—
1703	D₄	—	4	2	no	—
1704	D₄	—	4	2	no	—
1705	D₄	—	4	2	no	—
1706	D₄	—	8	1	no	—
1707	D₄	—	8	1	no	—
1708	D₄	—	8	1	no	—
1709	D₄	—	8	1	no	—
1710	C₂×C₄	—	2	4	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	2	1	no	—
1718	C₂×C₄	—	2	1	no	—
1719	C₂×C₄	—	2	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	4	1	no	—
1736	C₂×C₄	—	4	1	no	—
1737	C₂×C₄	—	4	1	no	—
1738	C₂×C₄	—	4	2	no	—
1739	C₂×C₄	—	4	2	no	—
1740	C₂×C₄	—	4	2	no	—
1741	C₂×C₄	—	4	2	no	—
1742	C₂×C₄	—	4	2	no	—
1743	C₂×C₄	—	4	2	no	—
1744	C₂×C₄	—	4	2	no	—
1745	C₂×C₄	—	4	2	no	—
1746	C₂×C₄	—	4	2	no	—
1747	C₂×C₄	—	4	2	no	—
1748	C₂×C₄	—	8	1	no	—
1749	C₂×C₄	—	8	1	no	—
1750	C₂×C₄	—	8	1	no	—
1751	C₂×C₄	—	8	1	no	—
1752	C₂×C₄	—	8	1	no	—
1753	C₂×C₄	—	8	1	no	—
1754	C₂×C₄	—	8	1	no	—
1755	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1756	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1757	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1758	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1759	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1760	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1761	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1762	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1763	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1764	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1765	C₈	—	2	1	no	—
1766	C₈	—	2	1	no	—
1767	C₈	—	2	1	no	—
1768	C₈	—	2	1	no	—
1769	C₈	—	2	1	no	—
1770	C₈	—	2	1	no	—
1771	C₈	—	2	1	no	—
1772	C₈	—	2	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	1	no	—
1777	C₂²	—	2	1	no	—
1778	C₂²	—	2	1	no	—
1779	C₂²	—	2	1	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	1	no	—
1785	C₂²	—	2	1	no	—
1786	C₂²	—	2	1	no	—
1787	C₂²	—	4	4	no	—
1788	C₂²	—	4	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	C₃₁×#578	1	2	yes	—
1795	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1796	C₄	—	2	2	no	—
1797	C₄	—	2	2	no	—
1798	C₄	—	2	1	no	—
1799	C₄	—	2	1	no	—
1800	C₄	—	2	1	no	—
1801	C₄	—	2	1	no	—
1802	C₄	—	2	1	no	—
1803	C₄	—	2	1	no	—
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	1	no	—
1807	C₄	—	4	1	no	—
1808	C₄	—	4	1	no	—
1809	C₄	—	4	1	no	—
1810	C₄	—	4	1	no	—
1811	C₄	—	4	1	no	—
1812	C₄	—	4	1	no	—
1813	C₄	—	4	1	no	—
1814	C₄	—	4	1	no	—
1815	C₄	—	4	1	no	—
1816	C₄	—	4	1	no	—
1817	C₄	—	4	1	no	—
1818	C₄	—	4	1	no	—
1819	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1820	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1821	C₂	—	2	2	no	—
1822	C₂	—	4	1	no	—
1823	C₂	—	4	1	no	—
1824	C₂	—	4	1	no	—
1825	C₂	—	4	1	no	—
1826	C₂	—	8	1	no	—
1827	C₂	—	8	1	no	—
1828	C₂	C₃₁×#3484	1	1	yes	characteristic
1829	C₂	C₂×C₃₁×#578	1	1	yes	characteristic
1830	C₂	C₃₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₁ ◁ C₃₁×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3541	C₂	semidirect
2. C₃₁×#3486	C₂	semidirect
3. C₃₁×#3328	C₂	semidirect
4. C₃₁×#3327	C₂	semidirect
5. C₃₁×#3320	C₂	semidirect
6. C₃₁×#3316	C₂	semidirect
7. C₃₁×#3313	C₂	semidirect
8. C₃₁×#3312	C₂	semidirect
9. C₃₁×#3301	C₂	semidirect
10. C₃₁×#3299	C₂	semidirect
11. D₄×Q₁₆×C₃₁	C₂	semidirect
12. C₃₁×#3285	C₂	semidirect
13. C₃₁×#3277	C₂	semidirect
14. C₃₁×#3276	C₂	semidirect
15. C₃₁×#3270	C₂	semidirect
16. C₃₁×#3270	C₂	semidirect
17. C₃₁×#3270	C₂	semidirect
18. C₃₁×#3269	C₂	semidirect
19. C₃₁×#3225	C₂	semidirect
20. C₃₁×#3223	C₂	semidirect
21. C₃₁×#3202	C₂	semidirect
22. C₃₁×#3201	C₂	semidirect
23. C₃₁×#3196	C₂	semidirect
24. C₃₁×#3191	C₂	semidirect
25. C₃₁×#3127	C₂	semidirect
26. C₃₁×#3121	C₂	semidirect
27. C₃₁×#3013	C₂	semidirect
28. C₃₁×#3011	C₂	semidirect
29. C₃₁×#3004	C₂	semidirect
30. C₂×C₃₁×#451	C₂	semidirect
31. C₃₁×#2976	C₂	semidirect
36. C₂×C₃₁×#137	C₂²	semidirect
37. C₂×C₃₁×#137	C₂²	semidirect
38. C₂×C₃₁×#135	C₂²	semidirect
41. C₂²×Q₁₆×C₃₁	C₂²	semidirect
85. C₃₁×#497	C₂²	semidirect
86. C₃₁×#497	C₂²	semidirect
87. C₃₁×#495	C₂²	semidirect
88. C₃₁×#494	C₂²	semidirect
89. C₃₁×#491	C₂²	semidirect
90. C₃₁×#489	C₂²	semidirect
91. C₃₁×#488	C₂²	semidirect
92. C₃₁×#487	C₂²	semidirect
97. C₃₁×#485	C₂²	semidirect
98. C₃₁×#485	C₂²	semidirect
100. C₃₁×#484	C₂²	semidirect
101. C₃₁×#483	C₂²	semidirect
105. C₃₁×#479	C₂²	semidirect
106. C₃₁×#479	C₂²	semidirect
107. C₃₁×#477	C₂²	semidirect
108. C₃₁×#475	C₂²	semidirect
111. C₃₁×#470	C₂²	semidirect
112. C₃₁×#470	C₂²	semidirect
113. C₃₁×#470	C₂²	semidirect
116. C₃₁×#468	C₂²	semidirect
118. C₃₁×#467	C₂²	semidirect
119. C₃₁×#467	C₂²	semidirect
120. C₃₁×#467	C₂²	semidirect
124. C₃₁×#465	C₂²	semidirect
125. C₃₁×#464	C₂²	semidirect
126. C₃₁×#464	C₂²	semidirect
127. C₃₁×#464	C₂²	semidirect
128. C₃₁×#464	C₂²	semidirect
129. C₃₁×#464	C₂²	semidirect
130. C₃₁×#463	C₂²	semidirect
131. C₃₁×#462	C₂²	semidirect
132. C₃₁×#462	C₂²	semidirect
133. C₃₁×#462	C₂²	semidirect
134. C₃₁×#462	C₂²	semidirect
135. C₃₁×#462	C₂²	semidirect
136. C₃₁×#461	C₂²	semidirect
141. C₃₁×#452	C₂²	semidirect
142. C₃₁×#452	C₂²	semidirect
143. C₃₁×#452	C₂²	semidirect
144. C₃₁×#452	C₂²	semidirect
145. C₃₁×#452	C₂²	semidirect
159. C₃₁×#451	C₂²	semidirect
160. C₃₁×#451	C₂²	semidirect
161. C₃₁×#451	C₂²	semidirect
162. C₃₁×#451	C₂²	semidirect
163. C₃₁×#451	C₂²	semidirect
166. C₃₁×#449	C₂²	semidirect
172. C₃₁×#448	C₂²	semidirect
173. C₃₁×#441	C₂²	semidirect
174. C₃₁×#441	C₂²	semidirect
175. C₃₁×#441	C₂²	semidirect
176. C₃₁×#440	C₂²	semidirect
177. C₄×Q₁₆×C₃₁	C₂²	semidirect
178. C₄×Q₁₆×C₃₁	C₂²	semidirect
179. C₄×Q₁₆×C₃₁	C₂²	semidirect
180. C₄×SD₁₆×C₃₁	C₂²	semidirect
193. C₃₁×#419	C₂²	semidirect
194. C₃₁×#417	C₂²	semidirect
195. C₃₁×#416	C₂²	semidirect
198. C₂×C₃₁×#103	C₂²	semidirect
735. #61612	C₃₁	direct (N × H)
858. #3541	C₂×C₃₁	semidirect
859. #3486	C₂×C₃₁	semidirect
860. #3328	C₂×C₃₁	semidirect
861. #3327	C₂×C₃₁	semidirect
862. #3320	C₂×C₃₁	semidirect
863. #3316	C₂×C₃₁	semidirect
864. #3313	C₂×C₃₁	semidirect
865. #3312	C₂×C₃₁	semidirect
866. #3301	C₂×C₃₁	semidirect
867. #3299	C₂×C₃₁	semidirect
868. D₄×Q₁₆	C₂×C₃₁	semidirect
869. #3285	C₂×C₃₁	semidirect
870. #3277	C₂×C₃₁	semidirect
871. #3276	C₂×C₃₁	semidirect
872. #3270	C₂×C₃₁	semidirect
873. #3270	C₂×C₃₁	semidirect
874. #3270	C₂×C₃₁	semidirect
875. #3269	C₂×C₃₁	semidirect
876. #3225	C₂×C₃₁	semidirect
877. #3223	C₂×C₃₁	semidirect
878. #3202	C₂×C₃₁	semidirect
879. #3201	C₂×C₃₁	semidirect
880. #3196	C₂×C₃₁	semidirect
881. #3191	C₂×C₃₁	semidirect
882. #3127	C₂×C₃₁	semidirect
883. #3121	C₂×C₃₁	semidirect
884. #3013	C₂×C₃₁	semidirect
885. #3011	C₂×C₃₁	semidirect
886. #3004	C₂×C₃₁	semidirect
887. C₂×#451	C₂×C₃₁	semidirect
888. #2976	C₂×C₃₁	semidirect
941. C₂×#137	C₂²×C₃₁	semidirect
942. C₂×#137	C₂²×C₃₁	semidirect
943. C₂×#135	C₂²×C₃₁	semidirect
946. C₂²×Q₁₆	C₂²×C₃₁	semidirect
990. #497	C₂²×C₃₁	semidirect
991. #497	C₂²×C₃₁	semidirect
992. #495	C₂²×C₃₁	semidirect
993. #494	C₂²×C₃₁	semidirect
994. #491	C₂²×C₃₁	semidirect
995. #489	C₂²×C₃₁	semidirect
996. #488	C₂²×C₃₁	semidirect
997. #487	C₂²×C₃₁	semidirect
1002. #485	C₂²×C₃₁	semidirect
1003. #485	C₂²×C₃₁	semidirect
1005. #484	C₂²×C₃₁	semidirect
1006. #483	C₂²×C₃₁	semidirect
1010. #479	C₂²×C₃₁	semidirect
1011. #479	C₂²×C₃₁	semidirect
1012. #477	C₂²×C₃₁	semidirect
1013. #475	C₂²×C₃₁	semidirect
1016. #470	C₂²×C₃₁	semidirect
1017. #470	C₂²×C₃₁	semidirect
1018. #470	C₂²×C₃₁	semidirect
1021. #468	C₂²×C₃₁	semidirect
1023. #467	C₂²×C₃₁	semidirect
1024. #467	C₂²×C₃₁	semidirect
1025. #467	C₂²×C₃₁	semidirect
1029. #465	C₂²×C₃₁	semidirect
1030. #464	C₂²×C₃₁	semidirect
1031. #464	C₂²×C₃₁	semidirect
1032. #464	C₂²×C₃₁	semidirect
1033. #464	C₂²×C₃₁	semidirect
1034. #464	C₂²×C₃₁	semidirect
1035. #463	C₂²×C₃₁	semidirect
1036. #462	C₂²×C₃₁	semidirect
1037. #462	C₂²×C₃₁	semidirect
1038. #462	C₂²×C₃₁	semidirect
1039. #462	C₂²×C₃₁	semidirect
1040. #462	C₂²×C₃₁	semidirect
1041. #461	C₂²×C₃₁	semidirect
1046. #452	C₂²×C₃₁	semidirect
1047. #452	C₂²×C₃₁	semidirect
1048. #452	C₂²×C₃₁	semidirect
1049. #452	C₂²×C₃₁	semidirect
1050. #452	C₂²×C₃₁	semidirect
1064. #451	C₂²×C₃₁	semidirect
1065. #451	C₂²×C₃₁	semidirect
1066. #451	C₂²×C₃₁	semidirect
1067. #451	C₂²×C₃₁	semidirect
1068. #451	C₂²×C₃₁	semidirect
1071. #449	C₂²×C₃₁	semidirect
1077. #448	C₂²×C₃₁	semidirect
1078. #441	C₂²×C₃₁	semidirect
1079. #441	C₂²×C₃₁	semidirect
1080. #441	C₂²×C₃₁	semidirect
1081. #440	C₂²×C₃₁	semidirect
1082. C₄×Q₁₆	C₂²×C₃₁	semidirect
1083. C₄×Q₁₆	C₂²×C₃₁	semidirect
1084. C₄×Q₁₆	C₂²×C₃₁	semidirect
1085. C₄×SD₁₆	C₂²×C₃₁	semidirect
1098. #419	C₂²×C₃₁	semidirect
1099. #417	C₂²×C₃₁	semidirect
1100. #416	C₂²×C₃₁	semidirect
1103. C₂×#103	C₂²×C₃₁	semidirect
1405. C₃₁	#61612	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃₁×#3541	2
C₃₁×#3486	2
C₃₁×#3328	2
C₃₁×#3327	2
C₃₁×#3320	2
C₃₁×#3316	2
C₃₁×#3313	2
C₃₁×#3312	2
C₃₁×#3301	2
C₃₁×#3299	2
D₄×Q₁₆×C₃₁	2
C₃₁×#3285	2
C₃₁×#3277	2
C₃₁×#3276	2
C₃₁×#3270	2
C₃₁×#3269	2
C₃₁×#3225	2
C₃₁×#3223	2
C₃₁×#3202	2
C₃₁×#3201	2
C₃₁×#3196	2
C₃₁×#3191	2
C₃₁×#3127	2
C₃₁×#3121	2
C₃₁×#3013	2
C₃₁×#3011	2
C₃₁×#3004	2
C₂×C₃₁×#451	2
C₃₁×#2976	2
#61612	31

Subgroups — C31×#61612 #21518371

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61612 #21518371