Subgroups — C₃₁×#61611 #21518370

Order 7936.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3542	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3486	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3329	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3326	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3321	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3320	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3312	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3308	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3300	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3298	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3282	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×SD₁₆×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3278	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3275	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3266	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3225	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3221	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3201	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3200	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3194	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3191	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3126	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×#3010	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#3004	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₃₁×#448	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, complemented
33	C₂³×Q₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic, complemented
39	C₂²×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
40	C₂²×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic
41	C₂²×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
42	C₃₁×#562	—	2	1	no	—
43	C₃₁×#560	—	2	1	no	—
44	C₃₁×#555	C₂²	1	1	yes	characteristic
45	C₃₁×#553	C₂²	1	1	yes	characteristic
46	C₃₁×#552	C₂²	1	1	yes	characteristic
47	C₃₁×#551	—	2	1	no	—
48	C₃₁×#550	C₂²	1	1	yes	characteristic
49	D₄×Q₈×C₃₁	—	2	1	no	—
50	D₄×Q₈×C₃₁	—	2	1	no	—
51	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic
52	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
53	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
54	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
55	C₃₁×#548	—	2	1	no	—
56	C₃₁×#548	—	2	1	no	—
57	C₃₁×#548	C₂²	1	1	yes	characteristic
58	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
59	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
60	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
61	C₃₁×#547	C₂²	1	1	yes	characteristic
62	C₃₁×#546	—	2	1	no	—
63	C₃₁×#546	C₂²	1	1	yes	characteristic
64	C₃₁×#546	C₂²	1	1	yes	characteristic
65	D₄²×C₃₁	C₂²	1	1	yes	characteristic
66	C₃₁×#542	C₂²	1	1	yes	characteristic
67	C₃₁×#540	—	2	1	no	—
68	C₃₁×#540	C₂²	1	1	yes	characteristic
69	C₃₁×#538	—	2	1	no	—
70	C₃₁×#537	C₂²	1	1	yes	characteristic
71	C₃₁×#536	—	2	1	no	—
72	C₃₁×#536	—	2	1	no	—
73	C₃₁×#536	C₂²	1	1	yes	characteristic, complemented
74	C₃₁×#536	C₂²	1	1	yes	characteristic, complemented
75	C₃₁×#535	—	2	1	no	—
76	C₃₁×#535	C₂²	1	1	yes	characteristic
77	C₃₁×#534	—	2	1	no	—
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, complemented
83	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic
84	C₃₁×#519	C₂²	1	1	yes	characteristic, complemented
85	C₃₁×#497	C₂²	1	1	yes	characteristic, complemented
86	C₃₁×#496	C₂²	1	1	yes	characteristic, complemented
87	C₃₁×#495	C₂²	1	1	yes	characteristic, complemented
88	C₃₁×#492	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, complemented
94	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
95	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
96	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
97	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
98	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
99	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
100	C₃₁×#482	C₂²	1	1	yes	characteristic
101	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
102	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
103	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
104	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
105	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
106	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#477	C₂²	1	1	yes	characteristic, complemented
108	C₃₁×#475	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
110	C₃₁×#469	C₂²	1	1	yes	characteristic
111	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#468	C₂²	1	1	yes	characteristic
113	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
114	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
115	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
116	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
117	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
118	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
119	C₃₁×#466	C₂²	1	1	yes	characteristic
120	C₃₁×#465	C₂²	1	1	yes	characteristic
121	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
122	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
123	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
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×#463	C₂²	1	1	yes	characteristic, complemented
129	C₃₁×#463	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×#461	C₂²	1	1	yes	characteristic, complemented
133	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
134	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
135	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
136	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
137	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
138	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
139	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
140	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
141	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
142	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
143	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
144	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
145	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
146	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
147	C₃₁×#450	C₂²	1	1	yes	characteristic
148	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
149	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
150	C₃₁×#449	C₂²	1	1	yes	characteristic
151	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
152	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
153	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
154	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
155	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
156	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
157	C₃₁×#448	C₂²	1	1	yes	characteristic
158	C₃₁×#448	C₂²	1	1	yes	characteristic
159	C₃₁×#448	C₂²	1	1	yes	characteristic
160	C₃₁×#448	C₂²	1	1	yes	characteristic
161	C₃₁×#448	C₂²	1	1	yes	characteristic
162	C₃₁×#448	C₂²	1	1	yes	characteristic
163	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
164	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
165	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
166	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
167	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
168	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
169	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
170	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
171	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
172	C₃₁×#447	C₂²	1	1	yes	characteristic
173	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
174	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
175	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
176	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
177	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
178	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
179	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
180	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
181	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
182	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
183	C₃₁×#435	C₂²	1	1	yes	characteristic
184	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
185	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
186	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
187	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic
188	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
189	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
190	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
191	C₃₁×#419	C₂²	1	1	yes	characteristic, complemented
192	C₃₁×#419	C₂²	1	1	yes	characteristic, complemented
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, complemented
197	C₂×C₃₁×#103	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₃₁×#103	C₂²	1	1	yes	characteristic, complemented
199	C₃₁×#408	C₂²	1	1	yes	characteristic, complemented
200	C₃₁×#408	C₂²	1	1	yes	characteristic, complemented
201	C₃₁×#407	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₃₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
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	—	2	1	no	—
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	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
219	C₂²×Q₈×C₃₁	—	4	2	no	—
220	C₂²×Q₈×C₃₁	—	4	2	no	—
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×D₄×C₃₁	—	2	1	no	—
230	C₂²×D₄×C₃₁	—	2	1	no	—
231	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
232	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
233	C₂³×C₄×C₃₁	—	2	1	no	—
234	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
235	C₃₁×#137	—	4	2	no	—
236	C₃₁×#137	—	4	2	no	—
237	C₃₁×#137	—	4	2	no	—
238	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
239	C₃₁×#135	—	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×SD₁₆×C₃₁	—	4	2	no	—
246	C₂×SD₁₆×C₃₁	—	4	2	no	—
247	C₂×SD₁₆×C₃₁	—	4	2	no	—
248	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
249	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
250	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
251	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
252	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
253	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
254	C₂×SD₁₆×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×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
264	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
265	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
266	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
267	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
268	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
269	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
270	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
271	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
272	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
273	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
274	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
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×#127	—	2	1	no	—
284	C₃₁×#127	—	2	1	no	—
285	C₃₁×#127	C₂³	1	1	yes	characteristic
286	C₃₁×#126	—	2	1	no	—
287	C₃₁×#126	—	2	1	no	—
288	C₃₁×#126	—	2	1	no	—
289	C₃₁×#125	—	2	1	no	—
290	C₃₁×#125	C₂³	1	1	yes	characteristic
291	C₃₁×#124	—	2	1	no	—
292	C₃₁×#124	—	2	1	no	—
293	C₃₁×#124	—	2	1	no	—
294	C₃₁×#124	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
301	C₃₁×#124	C₂³	1	1	yes	characteristic
302	C₃₁×#124	C₂³	1	1	yes	characteristic
303	C₃₁×#123	—	2	1	no	—
304	C₃₁×#123	—	2	1	no	—
305	C₃₁×#123	—	2	1	no	—
306	C₃₁×#123	—	2	1	no	—
307	C₃₁×#123	—	2	1	no	—
308	C₃₁×#123	—	2	1	no	—
309	C₃₁×#123	—	2	1	no	—
310	C₃₁×#123	—	2	1	no	—
311	C₃₁×#123	—	2	1	no	—
312	C₃₁×#123	—	2	1	no	—
313	C₃₁×#123	—	2	1	no	—
314	C₃₁×#123	—	2	1	no	—
315	C₃₁×#123	—	2	1	no	—
316	C₃₁×#123	—	2	1	no	—
317	C₃₁×#123	—	2	1	no	—
318	C₃₁×#123	D₄	1	1	yes	characteristic
319	C₃₁×#123	D₄	1	1	yes	characteristic
320	C₃₁×C₂²⋊Q₈	—	2	1	no	—
321	C₃₁×C₂²⋊Q₈	—	2	1	no	—
322	C₃₁×C₂²⋊Q₈	—	2	1	no	—
323	C₃₁×C₂²⋊Q₈	—	2	1	no	—
324	C₃₁×C₂²⋊Q₈	—	2	1	no	—
325	C₃₁×C₂²⋊Q₈	—	2	1	no	—
326	C₃₁×C₂²⋊Q₈	—	2	1	no	—
327	C₃₁×C₂²⋊Q₈	—	2	1	no	—
328	C₃₁×C₂²⋊Q₈	—	2	1	no	—
329	C₃₁×C₂²⋊Q₈	—	2	1	no	—
330	C₃₁×C₂²⋊Q₈	—	2	1	no	—
331	C₃₁×C₂²⋊Q₈	—	2	1	no	—
332	C₃₁×C₂²⋊Q₈	—	2	1	no	—
333	C₃₁×C₂²⋊Q₈	—	2	1	no	—
334	C₃₁×C₂²⋊Q₈	—	2	1	no	—
335	C₃₁×C₂²⋊Q₈	—	2	1	no	—
336	C₃₁×C₂²⋊Q₈	—	2	1	no	—
337	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
338	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
339	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
340	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
341	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
342	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
343	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
344	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
345	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
346	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
347	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
348	C₃₁×#121	—	2	1	no	—
349	C₃₁×#121	—	2	1	no	—
350	C₃₁×#121	—	2	1	no	—
351	C₃₁×#121	—	2	1	no	—
352	C₃₁×#121	—	2	1	no	—
353	C₃₁×#121	—	2	1	no	—
354	C₃₁×#121	—	2	1	no	—
355	C₃₁×#121	—	2	1	no	—
356	C₃₁×#121	—	2	1	no	—
357	C₃₁×#121	—	2	1	no	—
358	C₃₁×#121	—	2	1	no	—
359	C₃₁×#121	—	2	1	no	—
360	C₃₁×#121	—	2	1	no	—
361	C₃₁×#121	—	2	1	no	—
362	C₃₁×#121	—	2	1	no	—
363	C₃₁×#121	—	2	1	no	—
364	C₃₁×#121	—	2	1	no	—
365	C₃₁×#121	—	2	1	no	—
366	C₃₁×#121	D₄	1	1	yes	characteristic
367	C₃₁×#121	D₄	1	1	yes	characteristic
368	C₃₁×#121	C₂³	1	1	yes	characteristic
369	C₃₁×#121	C₂³	1	1	yes	characteristic
370	C₃₁×#121	C₂³	1	1	yes	characteristic
371	C₃₁×#121	C₂³	1	1	yes	characteristic
372	C₃₁×#121	C₂³	1	1	yes	characteristic
373	C₃₁×#121	C₂³	1	1	yes	characteristic
374	C₃₁×#121	C₂³	1	1	yes	characteristic
375	C₃₁×#121	C₂³	1	1	yes	characteristic
376	C₃₁×#121	C₂³	1	1	yes	characteristic
377	C₃₁×#121	C₂³	1	1	yes	characteristic
378	C₃₁×#121	C₂³	1	1	yes	characteristic
379	C₃₁×#120	—	2	1	no	—
380	C₃₁×#120	—	2	1	no	—
381	C₃₁×#120	—	2	1	no	—
382	C₃₁×#120	—	2	1	no	—
383	C₃₁×#120	—	2	1	no	—
384	C₃₁×#120	—	2	1	no	—
385	C₃₁×#120	—	2	1	no	—
386	C₃₁×#120	—	2	1	no	—
387	C₃₁×#120	D₄	1	1	yes	characteristic
388	C₃₁×#120	D₄	1	1	yes	characteristic
389	C₄×Q₈×C₃₁	—	2	1	no	—
390	C₄×Q₈×C₃₁	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
411	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
412	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
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	C₃₁×#117	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
426	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
427	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
428	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
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×#102	C₂³	1	1	yes	characteristic
465	C₃₁×#102	C₂³	1	1	yes	characteristic
466	C₃₁×#102	C₂³	1	1	yes	characteristic
467	C₃₁×#102	C₂³	1	1	yes	characteristic
468	C₃₁×#102	C₂³	1	1	yes	characteristic
469	C₃₁×#102	C₂³	1	1	yes	characteristic
470	C₃₁×#102	C₂³	1	1	yes	characteristic
471	C₃₁×#102	C₂³	1	1	yes	characteristic
472	C₃₁×#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	—	2	1	no	—
491	C₂⁴×C₃₁	—	2	1	no	—
492	C₂⁴×C₃₁	C₂×D₄	1	1	yes	characteristic
493	#41×C₃₁	—	2	2	no	—
494	#41×C₃₁	—	2	2	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	1	no	—
500	#41×C₃₁	—	4	1	no	—
501	#41×C₃₁	—	4	4	no	—
502	#41×C₃₁	—	4	4	no	—
503	#41×C₃₁	—	4	1	no	—
504	#41×C₃₁	—	4	1	no	—
505	#41×C₃₁	—	4	1	no	—
506	#41×C₃₁	—	4	1	no	—
507	#41×C₃₁	—	4	4	no	—
508	#41×C₃₁	—	8	2	no	—
509	C₂×Q₈×C₃₁	—	2	2	no	—
510	C₂×Q₈×C₃₁	—	2	2	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	1	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	—	2	2	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	1	no	—
534	C₂×Q₈×C₃₁	—	4	4	no	—
535	C₂×Q₈×C₃₁	—	4	4	no	—
536	C₂×Q₈×C₃₁	—	4	4	no	—
537	C₂×Q₈×C₃₁	—	4	4	no	—
538	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
539	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
540	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
541	C₂×Q₈×C₃₁	C₂⁴	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×D₄×C₃₁	—	2	1	no	—
546	C₂×D₄×C₃₁	—	2	1	no	—
547	C₂×D₄×C₃₁	—	2	1	no	—
548	C₂×D₄×C₃₁	—	2	1	no	—
549	C₂×D₄×C₃₁	—	2	1	no	—
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	—	2	1	no	—
561	C₂×D₄×C₃₁	—	2	1	no	—
562	C₂×D₄×C₃₁	—	2	1	no	—
563	C₂×D₄×C₃₁	—	2	1	no	—
564	C₂×D₄×C₃₁	—	2	1	no	—
565	C₂×D₄×C₃₁	—	4	1	no	—
566	C₂×D₄×C₃₁	—	4	1	no	—
567	C₂×D₄×C₃₁	—	4	1	no	—
568	C₂×D₄×C₃₁	—	4	1	no	—
569	C₂×D₄×C₃₁	—	8	2	no	—
570	C₂×D₄×C₃₁	—	8	2	no	—
571	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
572	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
573	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
574	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
575	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
576	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
577	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
578	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
579	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
580	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
581	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
588	C₂²×C₄×C₃₁	—	2	1	no	—
589	C₂²×C₄×C₃₁	—	2	1	no	—
590	C₂²×C₄×C₃₁	—	2	1	no	—
591	C₂²×C₄×C₃₁	—	2	1	no	—
592	C₂²×C₄×C₃₁	—	2	1	no	—
593	C₂²×C₄×C₃₁	—	2	1	no	—
594	C₂²×C₄×C₃₁	—	2	1	no	—
595	C₂²×C₄×C₃₁	—	2	1	no	—
596	C₂²×C₄×C₃₁	—	2	1	no	—
597	C₂²×C₄×C₃₁	—	2	1	no	—
598	C₂²×C₄×C₃₁	—	2	1	no	—
599	C₂²×C₄×C₃₁	—	2	1	no	—
600	C₂²×C₄×C₃₁	—	4	1	no	—
601	C₂²×C₄×C₃₁	—	4	1	no	—
602	C₂²×C₄×C₃₁	—	4	4	no	—
603	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
604	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
605	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
606	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
607	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
608	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
609	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
610	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
611	Q₁₆×C₃₁	—	2	2	no	—
612	Q₁₆×C₃₁	—	2	2	no	—
613	Q₁₆×C₃₁	—	4	1	no	—
614	Q₁₆×C₃₁	—	4	1	no	—
615	Q₁₆×C₃₁	—	4	1	no	—
616	SD₁₆×C₃₁	—	2	2	no	—
617	SD₁₆×C₃₁	—	2	2	no	—
618	SD₁₆×C₃₁	—	2	2	no	—
619	SD₁₆×C₃₁	—	2	2	no	—
620	SD₁₆×C₃₁	—	2	2	no	—
621	SD₁₆×C₃₁	—	2	2	no	—
622	SD₁₆×C₃₁	—	4	1	no	—
623	SD₁₆×C₃₁	—	4	1	no	—
624	SD₁₆×C₃₁	—	4	1	no	—
625	SD₁₆×C₃₁	—	4	1	no	—
626	SD₁₆×C₃₁	—	4	1	no	—
627	SD₁₆×C₃₁	—	4	1	no	—
628	SD₁₆×C₃₁	—	4	1	no	—
629	SD₁₆×C₃₁	—	4	1	no	—
630	SD₁₆×C₃₁	—	4	1	no	—
631	SD₁₆×C₃₁	—	4	1	no	—
632	D₈×C₃₁	—	4	1	no	—
633	D₈×C₃₁	—	4	1	no	—
634	D₈×C₃₁	—	4	1	no	—
635	M₁₆×C₃₁	—	4	1	no	—
636	M₁₆×C₃₁	—	4	1	no	—
637	M₁₆×C₃₁	—	4	1	no	—
638	M₁₆×C₃₁	—	4	1	no	—
639	C₂×C₈×C₃₁	—	4	1	no	—
640	C₂×C₈×C₃₁	—	4	1	no	—
641	C₂×C₈×C₃₁	—	4	1	no	—
642	C₂×C₈×C₃₁	—	4	1	no	—
643	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
644	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
645	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
646	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
647	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
648	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
649	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
650	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
672	C₄⋊C₄×C₃₁	—	2	1	no	—
673	C₄⋊C₄×C₃₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
678	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
679	C₄⋊C₄×C₃₁	C₂×D₄	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	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
684	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
685	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
714	C₂²⋊C₄×C₃₁	—	2	1	no	—
715	C₂²⋊C₄×C₃₁	—	2	1	no	—
716	C₂²⋊C₄×C₃₁	—	2	1	no	—
717	C₂²⋊C₄×C₃₁	—	2	1	no	—
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	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
724	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
725	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
726	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
727	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
734	C₄²×C₃₁	—	2	1	no	—
735	C₄²×C₃₁	—	2	1	no	—
736	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
737	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
738	#61611	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
739	C₂³×C₃₁	—	2	2	no	—
740	C₂³×C₃₁	—	2	1	no	—
741	C₂³×C₃₁	—	2	1	no	—
742	C₂³×C₃₁	—	2	1	no	—
743	C₂³×C₃₁	—	2	1	no	—
744	C₂³×C₃₁	—	4	1	no	—
745	C₂³×C₃₁	—	4	1	no	—
746	C₂³×C₃₁	—	4	2	no	—
747	C₂³×C₃₁	—	8	1	no	—
748	C₂³×C₃₁	—	8	1	no	—
749	C₂³×C₃₁	—	8	1	no	—
750	C₂³×C₃₁	—	8	1	no	—
751	C₂³×C₃₁	—	8	1	no	—
752	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
753	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
754	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
755	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
756	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
757	Q₈×C₃₁	—	2	4	no	—
758	Q₈×C₃₁	—	2	1	no	—
759	Q₈×C₃₁	—	2	1	no	—
760	Q₈×C₃₁	—	2	1	no	—
761	Q₈×C₃₁	—	2	1	no	—
762	Q₈×C₃₁	—	2	1	no	—
763	Q₈×C₃₁	—	2	1	no	—
764	Q₈×C₃₁	—	2	1	no	—
765	Q₈×C₃₁	—	2	1	no	—
766	Q₈×C₃₁	—	2	1	no	—
767	Q₈×C₃₁	—	2	1	no	—
768	Q₈×C₃₁	—	4	1	no	—
769	Q₈×C₃₁	—	4	2	no	—
770	Q₈×C₃₁	—	4	2	no	—
771	Q₈×C₃₁	—	4	2	no	—
772	Q₈×C₃₁	—	4	2	no	—
773	Q₈×C₃₁	—	4	2	no	—
774	Q₈×C₃₁	—	4	2	no	—
775	Q₈×C₃₁	—	4	2	no	—
776	Q₈×C₃₁	—	8	1	no	—
777	Q₈×C₃₁	H(5,𝔽₂)	1	2	yes	—
778	Q₈×C₃₁	H(5,𝔽₂)	1	2	yes	—
779	D₄×C₃₁	—	2	2	no	—
780	D₄×C₃₁	—	2	2	no	—
781	D₄×C₃₁	—	2	1	no	—
782	D₄×C₃₁	—	2	1	no	—
783	D₄×C₃₁	—	2	1	no	—
784	D₄×C₃₁	—	2	1	no	—
785	D₄×C₃₁	—	2	1	no	—
786	D₄×C₃₁	—	2	1	no	—
787	D₄×C₃₁	—	2	1	no	—
788	D₄×C₃₁	—	2	1	no	—
789	D₄×C₃₁	—	4	1	no	—
790	D₄×C₃₁	—	4	1	no	—
791	D₄×C₃₁	—	4	1	no	—
792	D₄×C₃₁	—	4	1	no	—
793	D₄×C₃₁	—	4	1	no	—
794	D₄×C₃₁	—	4	2	no	—
795	D₄×C₃₁	—	4	2	no	—
796	D₄×C₃₁	—	4	2	no	—
797	D₄×C₃₁	—	4	2	no	—
798	D₄×C₃₁	—	4	2	no	—
799	D₄×C₃₁	—	4	2	no	—
800	D₄×C₃₁	—	8	1	no	—
801	D₄×C₃₁	—	8	1	no	—
802	D₄×C₃₁	—	8	1	no	—
803	D₄×C₃₁	—	8	1	no	—
804	D₄×C₃₁	—	8	1	no	—
805	D₄×C₃₁	—	8	1	no	—
806	D₄×C₃₁	—	8	1	no	—
807	D₄×C₃₁	—	8	1	no	—
808	D₄×C₃₁	—	8	1	no	—
809	D₄×C₃₁	—	8	1	no	—
810	D₄×C₃₁	—	8	1	no	—
811	D₄×C₃₁	—	8	1	no	—
812	D₄×C₃₁	—	8	1	no	—
813	D₄×C₃₁	—	8	1	no	—
814	C₂×C₄×C₃₁	—	2	4	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	—	2	1	no	—
821	C₂×C₄×C₃₁	—	2	1	no	—
822	C₂×C₄×C₃₁	—	2	1	no	—
823	C₂×C₄×C₃₁	—	2	1	no	—
824	C₂×C₄×C₃₁	—	2	1	no	—
825	C₂×C₄×C₃₁	—	2	1	no	—
826	C₂×C₄×C₃₁	—	2	1	no	—
827	C₂×C₄×C₃₁	—	2	1	no	—
828	C₂×C₄×C₃₁	—	2	1	no	—
829	C₂×C₄×C₃₁	—	2	1	no	—
830	C₂×C₄×C₃₁	—	2	1	no	—
831	C₂×C₄×C₃₁	—	2	1	no	—
832	C₂×C₄×C₃₁	—	2	1	no	—
833	C₂×C₄×C₃₁	—	2	1	no	—
834	C₂×C₄×C₃₁	—	2	1	no	—
835	C₂×C₄×C₃₁	—	2	1	no	—
836	C₂×C₄×C₃₁	—	2	1	no	—
837	C₂×C₄×C₃₁	—	4	1	no	—
838	C₂×C₄×C₃₁	—	4	1	no	—
839	C₂×C₄×C₃₁	—	4	1	no	—
840	C₂×C₄×C₃₁	—	4	2	no	—
841	C₂×C₄×C₃₁	—	4	2	no	—
842	C₂×C₄×C₃₁	—	4	2	no	—
843	C₂×C₄×C₃₁	—	4	2	no	—
844	C₂×C₄×C₃₁	—	4	2	no	—
845	C₂×C₄×C₃₁	—	4	2	no	—
846	C₂×C₄×C₃₁	—	4	2	no	—
847	C₂×C₄×C₃₁	—	4	2	no	—
848	C₂×C₄×C₃₁	—	4	2	no	—
849	C₂×C₄×C₃₁	—	4	2	no	—
850	C₂×C₄×C₃₁	—	4	2	no	—
851	C₂×C₄×C₃₁	—	8	1	no	—
852	C₂×C₄×C₃₁	—	8	1	no	—
853	C₂×C₄×C₃₁	—	8	1	no	—
854	C₂×C₄×C₃₁	—	8	1	no	—
855	C₂×C₄×C₃₁	—	8	1	no	—
856	C₂×C₄×C₃₁	—	8	1	no	—
857	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
858	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
859	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
860	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
861	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
862	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
863	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
864	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
865	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
866	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
867	C₈×C₃₁	—	2	1	no	—
868	C₈×C₃₁	—	2	1	no	—
869	C₈×C₃₁	—	2	1	no	—
870	C₈×C₃₁	—	2	1	no	—
871	C₈×C₃₁	—	2	1	no	—
872	C₈×C₃₁	—	2	1	no	—
873	C₈×C₃₁	—	2	1	no	—
874	C₈×C₃₁	—	2	1	no	—
875	#3542	C₂×C₃₁	1	1	yes	characteristic, complemented
876	#3486	C₂×C₃₁	1	1	yes	characteristic, complemented
877	#3329	C₂×C₃₁	1	1	yes	characteristic, complemented
878	#3326	C₂×C₃₁	1	1	yes	characteristic, complemented
879	#3321	C₂×C₃₁	1	1	yes	characteristic, complemented
880	#3320	C₂×C₃₁	1	1	yes	characteristic, complemented
881	#3312	C₂×C₃₁	1	1	yes	characteristic, complemented
882	#3308	C₂×C₃₁	1	1	yes	characteristic, complemented
883	#3300	C₂×C₃₁	1	1	yes	characteristic, complemented
884	#3298	C₂×C₃₁	1	1	yes	characteristic, complemented
885	#3282	C₂×C₃₁	1	1	yes	characteristic, complemented
886	D₄×SD₁₆	C₂×C₃₁	1	1	yes	characteristic, complemented
887	#3278	C₂×C₃₁	1	1	yes	characteristic, complemented
888	#3275	C₂×C₃₁	1	1	yes	characteristic, complemented
889	#3271	C₂×C₃₁	1	1	yes	characteristic, complemented
890	#3266	C₂×C₃₁	1	1	yes	characteristic, complemented
891	#3266	C₂×C₃₁	1	1	yes	characteristic, complemented
892	#3265	C₂×C₃₁	1	1	yes	characteristic, complemented
893	#3225	C₂×C₃₁	1	1	yes	characteristic, complemented
894	#3221	C₂×C₃₁	1	1	yes	characteristic, complemented
895	#3201	C₂×C₃₁	1	1	yes	characteristic, complemented
896	#3200	C₂×C₃₁	1	1	yes	characteristic, complemented
897	#3194	C₂×C₃₁	1	1	yes	characteristic, complemented
898	#3191	C₂×C₃₁	1	1	yes	characteristic, complemented
899	#3126	C₂×C₃₁	1	1	yes	characteristic, complemented
900	#3121	C₂×C₃₁	1	1	yes	characteristic, complemented
901	#3013	C₂×C₃₁	1	1	yes	characteristic, complemented
902	#3010	C₂×C₃₁	1	1	yes	characteristic, complemented
903	#3004	C₂×C₃₁	1	1	yes	characteristic, complemented
904	C₂×#448	C₂×C₃₁	1	1	yes	characteristic, complemented
905	#2976	C₂×C₃₁	1	1	yes	characteristic, complemented
906	C₂²×C₃₁	—	2	1	no	—
907	C₂²×C₃₁	—	2	1	no	—
908	C₂²×C₃₁	—	2	1	no	—
909	C₂²×C₃₁	—	2	1	no	—
910	C₂²×C₃₁	—	2	1	no	—
911	C₂²×C₃₁	—	2	1	no	—
912	C₂²×C₃₁	—	2	1	no	—
913	C₂²×C₃₁	—	2	1	no	—
914	C₂²×C₃₁	—	2	1	no	—
915	C₂²×C₃₁	—	2	1	no	—
916	C₂²×C₃₁	—	2	1	no	—
917	C₂²×C₃₁	—	2	1	no	—
918	C₂²×C₃₁	—	2	1	no	—
919	C₂²×C₃₁	—	2	1	no	—
920	C₂²×C₃₁	—	4	4	no	—
921	C₂²×C₃₁	—	4	1	no	—
922	C₂²×C₃₁	—	4	1	no	—
923	C₂²×C₃₁	—	4	1	no	—
924	C₂²×C₃₁	—	4	1	no	—
925	C₂²×C₃₁	—	4	1	no	—
926	C₂²×C₃₁	—	4	1	no	—
927	C₂²×C₃₁	—	4	1	no	—
928	C₂²×C₃₁	—	4	1	no	—
929	C₂²×C₃₁	—	4	1	no	—
930	C₂²×C₃₁	—	4	1	no	—
931	C₂²×C₃₁	—	4	1	no	—
932	C₂²×C₃₁	—	4	1	no	—
933	C₂²×C₃₁	—	16	2	no	—
934	C₂²×C₃₁	—	16	2	no	—
935	C₂²×C₃₁	#577	1	2	yes	—
936	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
937	C₄×C₃₁	—	2	1	no	—
938	C₄×C₃₁	—	2	1	no	—
939	C₄×C₃₁	—	2	2	no	—
940	C₄×C₃₁	—	2	2	no	—
941	C₄×C₃₁	—	2	1	no	—
942	C₄×C₃₁	—	2	1	no	—
943	C₄×C₃₁	—	2	1	no	—
944	C₄×C₃₁	—	2	1	no	—
945	C₄×C₃₁	—	2	1	no	—
946	C₄×C₃₁	—	2	1	no	—
947	C₄×C₃₁	—	2	1	no	—
948	C₄×C₃₁	—	4	1	no	—
949	C₄×C₃₁	—	4	1	no	—
950	C₄×C₃₁	—	4	1	no	—
951	C₄×C₃₁	—	4	1	no	—
952	C₄×C₃₁	—	4	1	no	—
953	C₄×C₃₁	—	4	1	no	—
954	C₄×C₃₁	—	4	1	no	—
955	C₄×C₃₁	—	4	1	no	—
956	C₄×C₃₁	—	4	1	no	—
957	C₄×C₃₁	—	4	1	no	—
958	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
959	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
960	C₂×2₋¹⁺⁴	C₂²×C₃₁	1	1	yes	characteristic, complemented
961	C₂³×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
962	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic, complemented
963	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic, complemented
964	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic, complemented
965	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
966	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic, complemented
967	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
968	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic
969	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
970	#562	—	2	1	no	—
971	#560	—	2	1	no	—
972	#555	C₂²×C₃₁	1	1	yes	characteristic
973	#553	C₂²×C₃₁	1	1	yes	characteristic
974	#552	C₂²×C₃₁	1	1	yes	characteristic
975	#551	—	2	1	no	—
976	#550	C₂²×C₃₁	1	1	yes	characteristic
977	D₄×Q₈	—	2	1	no	—
978	D₄×Q₈	—	2	1	no	—
979	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic
980	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
981	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
982	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
983	#548	—	2	1	no	—
984	#548	—	2	1	no	—
985	#548	C₂²×C₃₁	1	1	yes	characteristic
986	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
987	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
988	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
989	#547	C₂²×C₃₁	1	1	yes	characteristic
990	#546	—	2	1	no	—
991	#546	C₂²×C₃₁	1	1	yes	characteristic
992	#546	C₂²×C₃₁	1	1	yes	characteristic
993	D₄²	C₂²×C₃₁	1	1	yes	characteristic
994	#542	C₂²×C₃₁	1	1	yes	characteristic
995	#540	—	2	1	no	—
996	#540	C₂²×C₃₁	1	1	yes	characteristic
997	#538	—	2	1	no	—
998	#537	C₂²×C₃₁	1	1	yes	characteristic
999	#536	—	2	1	no	—
1000	#536	—	2	1	no	—
1001	#536	C₂²×C₃₁	1	1	yes	characteristic, complemented
1002	#536	C₂²×C₃₁	1	1	yes	characteristic, complemented
1003	#535	—	2	1	no	—
1004	#535	C₂²×C₃₁	1	1	yes	characteristic
1005	#534	—	2	1	no	—
1006	#525	—	2	1	no	—
1007	#525	—	2	1	no	—
1008	#525	C₂²×C₃₁	1	1	yes	characteristic
1009	#525	C₂²×C₃₁	1	1	yes	characteristic
1010	#525	C₂²×C₃₁	1	1	yes	characteristic, complemented
1011	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic
1012	#519	C₂²×C₃₁	1	1	yes	characteristic, complemented
1013	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
1014	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
1015	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
1016	#492	C₂²×C₃₁	1	1	yes	characteristic, complemented
1017	#491	C₂²×C₃₁	1	1	yes	characteristic, complemented
1018	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
1019	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
1020	#487	C₂²×C₃₁	1	1	yes	characteristic, complemented
1021	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
1022	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
1023	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
1027	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
1028	#482	C₂²×C₃₁	1	1	yes	characteristic
1029	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1030	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1031	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1032	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
1033	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
1034	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
1035	#477	C₂²×C₃₁	1	1	yes	characteristic, complemented
1036	#475	C₂²×C₃₁	1	1	yes	characteristic, complemented
1037	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
1038	#469	C₂²×C₃₁	1	1	yes	characteristic
1039	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
1040	#468	C₂²×C₃₁	1	1	yes	characteristic
1041	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1042	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1043	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1044	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1045	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
1046	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	#466	C₂²×C₃₁	1	1	yes	characteristic
1048	#465	C₂²×C₃₁	1	1	yes	characteristic
1049	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1050	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1051	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1052	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1053	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1054	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1055	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1056	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1057	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1058	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1059	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
1060	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1061	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1062	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1063	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1064	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1065	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1066	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1067	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1068	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1069	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1070	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1071	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1072	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1073	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1074	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1075	#450	C₂²×C₃₁	1	1	yes	characteristic
1076	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1077	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1078	#449	C₂²×C₃₁	1	1	yes	characteristic
1079	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1080	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1081	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1082	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1083	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1084	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1085	#448	C₂²×C₃₁	1	1	yes	characteristic
1086	#448	C₂²×C₃₁	1	1	yes	characteristic
1087	#448	C₂²×C₃₁	1	1	yes	characteristic
1088	#448	C₂²×C₃₁	1	1	yes	characteristic
1089	#448	C₂²×C₃₁	1	1	yes	characteristic
1090	#448	C₂²×C₃₁	1	1	yes	characteristic
1091	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1092	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1093	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1094	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1095	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1096	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1097	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1098	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1099	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1100	#447	C₂²×C₃₁	1	1	yes	characteristic
1101	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1102	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1103	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1104	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1105	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1106	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1107	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1108	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1109	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1110	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1111	#435	C₂²×C₃₁	1	1	yes	characteristic
1112	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1113	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1114	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1115	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic
1116	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1117	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1118	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1119	#419	C₂²×C₃₁	1	1	yes	characteristic, complemented
1120	#419	C₂²×C₃₁	1	1	yes	characteristic, complemented
1121	#419	C₂²×C₃₁	1	1	yes	characteristic, complemented
1122	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1123	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1124	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic, complemented
1125	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic, complemented
1126	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic, complemented
1127	#408	C₂²×C₃₁	1	1	yes	characteristic, complemented
1128	#408	C₂²×C₃₁	1	1	yes	characteristic, complemented
1129	#407	C₂²×C₃₁	1	1	yes	characteristic, complemented
1130	C₂×C₂²⋊C₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1131	C₂×C₃₁	—	2	2	no	—
1132	C₂×C₃₁	—	4	1	no	—
1133	C₂×C₃₁	—	4	1	no	—
1134	C₂×C₃₁	—	4	1	no	—
1135	C₂×C₃₁	—	4	1	no	—
1136	C₂×C₃₁	—	8	1	no	—
1137	C₂×C₃₁	—	8	1	no	—
1138	C₂×C₃₁	—	8	1	no	—
1139	C₂×C₃₁	—	8	1	no	—
1140	C₂×C₃₁	#3484	1	1	yes	characteristic
1141	C₂×C₃₁	C₂×#577	1	1	yes	characteristic
1142	C₂×C₃₁	#3586	1	1	yes	characteristic
1143	2₋¹⁺⁴	—	4	2	no	—
1144	2₋¹⁺⁴	—	4	2	no	—
1145	C₂×#41	—	2	1	no	—
1146	C₂×#41	—	2	1	no	—
1147	C₂×#41	—	2	1	no	—
1148	C₂×#41	—	2	1	no	—
1149	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1150	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1151	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1152	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1153	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1154	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1155	C₂²×Q₈	—	2	1	no	—
1156	C₂²×Q₈	—	2	1	no	—
1157	C₂²×Q₈	—	2	1	no	—
1158	C₂²×Q₈	—	2	1	no	—
1159	C₂²×Q₈	—	4	2	no	—
1160	C₂²×Q₈	—	4	2	no	—
1161	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1162	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1163	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1164	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1165	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1166	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1167	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1168	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1169	C₂²×D₄	—	2	1	no	—
1170	C₂²×D₄	—	2	1	no	—
1171	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1172	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1173	C₂³×C₄	—	2	1	no	—
1174	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1175	#137	—	4	2	no	—
1176	#137	—	4	2	no	—
1177	#137	—	4	2	no	—
1178	AGL(1,ℤ/8)	—	4	2	no	—
1179	#135	—	4	2	no	—
1180	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1181	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1182	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1183	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1184	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1185	C₂×SD₁₆	—	4	2	no	—
1186	C₂×SD₁₆	—	4	2	no	—
1187	C₂×SD₁₆	—	4	2	no	—
1188	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1189	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1190	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1191	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1192	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1193	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1194	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1195	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1196	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1197	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1198	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1199	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1200	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1201	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1202	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1203	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1204	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1205	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1206	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1207	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1208	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1209	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1210	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1211	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1212	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1213	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1214	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1215	C₄⋊Q₈	—	2	1	no	—
1216	C₄⋊Q₈	—	2	1	no	—
1217	C₄⋊Q₈	—	2	1	no	—
1218	C₄⋊Q₈	—	2	1	no	—
1219	C₄⋊Q₈	—	2	1	no	—
1220	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1221	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1222	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1223	#127	—	2	1	no	—
1224	#127	—	2	1	no	—
1225	#127	C₂³×C₃₁	1	1	yes	characteristic
1226	#126	—	2	1	no	—
1227	#126	—	2	1	no	—
1228	#126	—	2	1	no	—
1229	#125	—	2	1	no	—
1230	#125	C₂³×C₃₁	1	1	yes	characteristic
1231	#124	—	2	1	no	—
1232	#124	—	2	1	no	—
1233	#124	—	2	1	no	—
1234	#124	—	2	1	no	—
1235	#124	—	2	1	no	—
1236	#124	—	2	1	no	—
1237	#124	—	2	1	no	—
1238	#124	—	2	1	no	—
1239	#124	—	2	1	no	—
1240	#124	C₂³×C₃₁	1	1	yes	characteristic
1241	#124	C₂³×C₃₁	1	1	yes	characteristic
1242	#124	C₂³×C₃₁	1	1	yes	characteristic
1243	#123	—	2	1	no	—
1244	#123	—	2	1	no	—
1245	#123	—	2	1	no	—
1246	#123	—	2	1	no	—
1247	#123	—	2	1	no	—
1248	#123	—	2	1	no	—
1249	#123	—	2	1	no	—
1250	#123	—	2	1	no	—
1251	#123	—	2	1	no	—
1252	#123	—	2	1	no	—
1253	#123	—	2	1	no	—
1254	#123	—	2	1	no	—
1255	#123	—	2	1	no	—
1256	#123	—	2	1	no	—
1257	#123	—	2	1	no	—
1258	#123	D₄×C₃₁	1	1	yes	characteristic
1259	#123	D₄×C₃₁	1	1	yes	characteristic
1260	C₂²⋊Q₈	—	2	1	no	—
1261	C₂²⋊Q₈	—	2	1	no	—
1262	C₂²⋊Q₈	—	2	1	no	—
1263	C₂²⋊Q₈	—	2	1	no	—
1264	C₂²⋊Q₈	—	2	1	no	—
1265	C₂²⋊Q₈	—	2	1	no	—
1266	C₂²⋊Q₈	—	2	1	no	—
1267	C₂²⋊Q₈	—	2	1	no	—
1268	C₂²⋊Q₈	—	2	1	no	—
1269	C₂²⋊Q₈	—	2	1	no	—
1270	C₂²⋊Q₈	—	2	1	no	—
1271	C₂²⋊Q₈	—	2	1	no	—
1272	C₂²⋊Q₈	—	2	1	no	—
1273	C₂²⋊Q₈	—	2	1	no	—
1274	C₂²⋊Q₈	—	2	1	no	—
1275	C₂²⋊Q₈	—	2	1	no	—
1276	C₂²⋊Q₈	—	2	1	no	—
1277	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1278	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1279	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1280	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1281	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1282	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1283	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1284	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1285	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1286	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1287	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1288	#121	—	2	1	no	—
1289	#121	—	2	1	no	—
1290	#121	—	2	1	no	—
1291	#121	—	2	1	no	—
1292	#121	—	2	1	no	—
1293	#121	—	2	1	no	—
1294	#121	—	2	1	no	—
1295	#121	—	2	1	no	—
1296	#121	—	2	1	no	—
1297	#121	—	2	1	no	—
1298	#121	—	2	1	no	—
1299	#121	—	2	1	no	—
1300	#121	—	2	1	no	—
1301	#121	—	2	1	no	—
1302	#121	—	2	1	no	—
1303	#121	—	2	1	no	—
1304	#121	—	2	1	no	—
1305	#121	—	2	1	no	—
1306	#121	D₄×C₃₁	1	1	yes	characteristic
1307	#121	D₄×C₃₁	1	1	yes	characteristic
1308	#121	C₂³×C₃₁	1	1	yes	characteristic
1309	#121	C₂³×C₃₁	1	1	yes	characteristic
1310	#121	C₂³×C₃₁	1	1	yes	characteristic
1311	#121	C₂³×C₃₁	1	1	yes	characteristic
1312	#121	C₂³×C₃₁	1	1	yes	characteristic
1313	#121	C₂³×C₃₁	1	1	yes	characteristic
1314	#121	C₂³×C₃₁	1	1	yes	characteristic
1315	#121	C₂³×C₃₁	1	1	yes	characteristic
1316	#121	C₂³×C₃₁	1	1	yes	characteristic
1317	#121	C₂³×C₃₁	1	1	yes	characteristic
1318	#121	C₂³×C₃₁	1	1	yes	characteristic
1319	#120	—	2	1	no	—
1320	#120	—	2	1	no	—
1321	#120	—	2	1	no	—
1322	#120	—	2	1	no	—
1323	#120	—	2	1	no	—
1324	#120	—	2	1	no	—
1325	#120	—	2	1	no	—
1326	#120	—	2	1	no	—
1327	#120	D₄×C₃₁	1	1	yes	characteristic
1328	#120	D₄×C₃₁	1	1	yes	characteristic
1329	C₄×Q₈	—	2	1	no	—
1330	C₄×Q₈	—	2	1	no	—
1331	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1332	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1333	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1334	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1335	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1336	C₄×D₄	—	2	1	no	—
1337	C₄×D₄	—	2	1	no	—
1338	C₄×D₄	—	2	1	no	—
1339	C₄×D₄	—	2	1	no	—
1340	C₄×D₄	—	2	1	no	—
1341	C₄×D₄	—	2	1	no	—
1342	C₄×D₄	—	2	1	no	—
1343	C₄×D₄	—	2	1	no	—
1344	C₄×D₄	—	2	1	no	—
1345	C₄×D₄	—	2	1	no	—
1346	C₄×D₄	—	2	1	no	—
1347	C₄×D₄	—	2	1	no	—
1348	C₄×D₄	—	2	1	no	—
1349	C₄×D₄	—	2	1	no	—
1350	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1351	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1352	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1353	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1354	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1355	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1356	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1357	#117	—	2	1	no	—
1358	#117	—	2	1	no	—
1359	#117	—	2	1	no	—
1360	#117	—	2	1	no	—
1361	#117	C₂³×C₃₁	1	1	yes	characteristic
1362	#117	C₂³×C₃₁	1	1	yes	characteristic
1363	#117	C₂³×C₃₁	1	1	yes	characteristic
1364	#117	C₂³×C₃₁	1	1	yes	characteristic
1365	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1366	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1367	C₂×C₂²⋊C₄	—	2	1	no	—
1368	C₂×C₂²⋊C₄	—	2	1	no	—
1369	C₂×C₂²⋊C₄	—	2	1	no	—
1370	#107	C₂³×C₃₁	1	1	yes	characteristic
1371	#107	C₂³×C₃₁	1	1	yes	characteristic
1372	#107	C₂³×C₃₁	1	1	yes	characteristic
1373	#107	C₂³×C₃₁	1	1	yes	characteristic
1374	#106	C₂³×C₃₁	1	1	yes	characteristic
1375	#106	C₂³×C₃₁	1	1	yes	characteristic
1376	#106	C₂³×C₃₁	1	1	yes	characteristic
1377	#106	C₂³×C₃₁	1	1	yes	characteristic
1378	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1379	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1380	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1381	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1382	#103	C₂³×C₃₁	1	1	yes	characteristic
1383	#103	C₂³×C₃₁	1	1	yes	characteristic
1384	#103	C₂³×C₃₁	1	1	yes	characteristic
1385	#103	C₂³×C₃₁	1	1	yes	characteristic
1386	#103	C₂³×C₃₁	1	1	yes	characteristic
1387	#103	C₂³×C₃₁	1	1	yes	characteristic
1388	#103	C₂³×C₃₁	1	1	yes	characteristic
1389	#103	C₂³×C₃₁	1	1	yes	characteristic
1390	#103	C₂³×C₃₁	1	1	yes	characteristic
1391	#103	C₂³×C₃₁	1	1	yes	characteristic
1392	#103	C₂³×C₃₁	1	1	yes	characteristic
1393	#103	C₂³×C₃₁	1	1	yes	characteristic
1394	#103	C₂³×C₃₁	1	1	yes	characteristic
1395	#103	C₂³×C₃₁	1	1	yes	characteristic
1396	#103	C₂³×C₃₁	1	1	yes	characteristic
1397	#103	C₂³×C₃₁	1	1	yes	characteristic
1398	#103	C₂³×C₃₁	1	1	yes	characteristic
1399	#103	C₂³×C₃₁	1	1	yes	characteristic
1400	#103	C₂³×C₃₁	1	1	yes	characteristic
1401	#103	C₂³×C₃₁	1	1	yes	characteristic
1402	#103	C₂³×C₃₁	1	1	yes	characteristic
1403	#103	C₂³×C₃₁	1	1	yes	characteristic
1404	#102	C₂³×C₃₁	1	1	yes	characteristic
1405	#102	C₂³×C₃₁	1	1	yes	characteristic
1406	#102	C₂³×C₃₁	1	1	yes	characteristic
1407	#102	C₂³×C₃₁	1	1	yes	characteristic
1408	#102	C₂³×C₃₁	1	1	yes	characteristic
1409	#102	C₂³×C₃₁	1	1	yes	characteristic
1410	#102	C₂³×C₃₁	1	1	yes	characteristic
1411	#102	C₂³×C₃₁	1	1	yes	characteristic
1412	#102	C₂³×C₃₁	1	1	yes	characteristic
1413	#102	C₂³×C₃₁	1	1	yes	characteristic
1414	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1415	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1416	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1417	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1418	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1419	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1420	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1421	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1422	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1423	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1424	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1425	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1426	#97	C₂³×C₃₁	1	1	yes	characteristic
1427	#97	C₂³×C₃₁	1	1	yes	characteristic
1428	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1429	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1430	C₃₁	#61611	1	1	yes	characteristic, direct product factor, Sylow
1431	C₂⁴	—	2	1	no	—
1432	C₂⁴	—	2	1	no	—
1433	C₂⁴	C₂×D₄×C₃₁	1	1	yes	characteristic
1434	#41	—	2	2	no	—
1435	#41	—	2	2	no	—
1436	#41	—	4	1	no	—
1437	#41	—	4	1	no	—
1438	#41	—	4	1	no	—
1439	#41	—	4	1	no	—
1440	#41	—	4	1	no	—
1441	#41	—	4	1	no	—
1442	#41	—	4	4	no	—
1443	#41	—	4	4	no	—
1444	#41	—	4	1	no	—
1445	#41	—	4	1	no	—
1446	#41	—	4	1	no	—
1447	#41	—	4	1	no	—
1448	#41	—	4	4	no	—
1449	#41	—	8	2	no	—
1450	C₂×Q₈	—	2	2	no	—
1451	C₂×Q₈	—	2	2	no	—
1452	C₂×Q₈	—	2	1	no	—
1453	C₂×Q₈	—	2	1	no	—
1454	C₂×Q₈	—	2	1	no	—
1455	C₂×Q₈	—	2	1	no	—
1456	C₂×Q₈	—	2	1	no	—
1457	C₂×Q₈	—	2	1	no	—
1458	C₂×Q₈	—	2	1	no	—
1459	C₂×Q₈	—	2	1	no	—
1460	C₂×Q₈	—	2	1	no	—
1461	C₂×Q₈	—	2	2	no	—
1462	C₂×Q₈	—	2	2	no	—
1463	C₂×Q₈	—	2	2	no	—
1464	C₂×Q₈	—	2	2	no	—
1465	C₂×Q₈	—	2	2	no	—
1466	C₂×Q₈	—	2	2	no	—
1467	C₂×Q₈	—	4	1	no	—
1468	C₂×Q₈	—	4	1	no	—
1469	C₂×Q₈	—	4	1	no	—
1470	C₂×Q₈	—	4	1	no	—
1471	C₂×Q₈	—	4	1	no	—
1472	C₂×Q₈	—	4	1	no	—
1473	C₂×Q₈	—	4	1	no	—
1474	C₂×Q₈	—	4	1	no	—
1475	C₂×Q₈	—	4	4	no	—
1476	C₂×Q₈	—	4	4	no	—
1477	C₂×Q₈	—	4	4	no	—
1478	C₂×Q₈	—	4	4	no	—
1479	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1480	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1481	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1482	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1483	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1484	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1485	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1486	C₂×D₄	—	2	1	no	—
1487	C₂×D₄	—	2	1	no	—
1488	C₂×D₄	—	2	1	no	—
1489	C₂×D₄	—	2	1	no	—
1490	C₂×D₄	—	2	1	no	—
1491	C₂×D₄	—	2	1	no	—
1492	C₂×D₄	—	2	1	no	—
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	2	1	no	—
1496	C₂×D₄	—	2	1	no	—
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	2	1	no	—
1499	C₂×D₄	—	2	1	no	—
1500	C₂×D₄	—	2	1	no	—
1501	C₂×D₄	—	2	1	no	—
1502	C₂×D₄	—	2	1	no	—
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	1	no	—
1505	C₂×D₄	—	2	1	no	—
1506	C₂×D₄	—	4	1	no	—
1507	C₂×D₄	—	4	1	no	—
1508	C₂×D₄	—	4	1	no	—
1509	C₂×D₄	—	4	1	no	—
1510	C₂×D₄	—	8	2	no	—
1511	C₂×D₄	—	8	2	no	—
1512	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1513	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1514	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1515	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1516	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1517	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1518	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1519	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1520	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1521	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1522	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1523	C₂²×C₄	—	2	1	no	—
1524	C₂²×C₄	—	2	1	no	—
1525	C₂²×C₄	—	2	1	no	—
1526	C₂²×C₄	—	2	1	no	—
1527	C₂²×C₄	—	2	1	no	—
1528	C₂²×C₄	—	2	1	no	—
1529	C₂²×C₄	—	2	1	no	—
1530	C₂²×C₄	—	2	1	no	—
1531	C₂²×C₄	—	2	1	no	—
1532	C₂²×C₄	—	2	1	no	—
1533	C₂²×C₄	—	2	1	no	—
1534	C₂²×C₄	—	2	1	no	—
1535	C₂²×C₄	—	2	1	no	—
1536	C₂²×C₄	—	2	1	no	—
1537	C₂²×C₄	—	2	1	no	—
1538	C₂²×C₄	—	2	1	no	—
1539	C₂²×C₄	—	2	1	no	—
1540	C₂²×C₄	—	2	1	no	—
1541	C₂²×C₄	—	4	1	no	—
1542	C₂²×C₄	—	4	1	no	—
1543	C₂²×C₄	—	4	4	no	—
1544	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1545	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1546	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1547	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1548	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1549	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1550	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1551	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1552	Q₁₆	—	2	2	no	—
1553	Q₁₆	—	2	2	no	—
1554	Q₁₆	—	4	1	no	—
1555	Q₁₆	—	4	1	no	—
1556	Q₁₆	—	4	1	no	—
1557	SD₁₆	—	2	2	no	—
1558	SD₁₆	—	2	2	no	—
1559	SD₁₆	—	2	2	no	—
1560	SD₁₆	—	2	2	no	—
1561	SD₁₆	—	2	2	no	—
1562	SD₁₆	—	2	2	no	—
1563	SD₁₆	—	4	1	no	—
1564	SD₁₆	—	4	1	no	—
1565	SD₁₆	—	4	1	no	—
1566	SD₁₆	—	4	1	no	—
1567	SD₁₆	—	4	1	no	—
1568	SD₁₆	—	4	1	no	—
1569	SD₁₆	—	4	1	no	—
1570	SD₁₆	—	4	1	no	—
1571	SD₁₆	—	4	1	no	—
1572	SD₁₆	—	4	1	no	—
1573	D₈	—	4	1	no	—
1574	D₈	—	4	1	no	—
1575	D₈	—	4	1	no	—
1576	M₁₆	—	4	1	no	—
1577	M₁₆	—	4	1	no	—
1578	M₁₆	—	4	1	no	—
1579	M₁₆	—	4	1	no	—
1580	C₂×C₈	—	4	1	no	—
1581	C₂×C₈	—	4	1	no	—
1582	C₂×C₈	—	4	1	no	—
1583	C₂×C₈	—	4	1	no	—
1584	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1585	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1586	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1587	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1588	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1589	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1590	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1591	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1592	C₄⋊C₄	—	2	1	no	—
1593	C₄⋊C₄	—	2	1	no	—
1594	C₄⋊C₄	—	2	1	no	—
1595	C₄⋊C₄	—	2	1	no	—
1596	C₄⋊C₄	—	2	1	no	—
1597	C₄⋊C₄	—	2	1	no	—
1598	C₄⋊C₄	—	2	1	no	—
1599	C₄⋊C₄	—	2	1	no	—
1600	C₄⋊C₄	—	2	1	no	—
1601	C₄⋊C₄	—	2	1	no	—
1602	C₄⋊C₄	—	2	1	no	—
1603	C₄⋊C₄	—	2	1	no	—
1604	C₄⋊C₄	—	2	1	no	—
1605	C₄⋊C₄	—	2	1	no	—
1606	C₄⋊C₄	—	2	1	no	—
1607	C₄⋊C₄	—	2	1	no	—
1608	C₄⋊C₄	—	2	1	no	—
1609	C₄⋊C₄	—	2	1	no	—
1610	C₄⋊C₄	—	2	1	no	—
1611	C₄⋊C₄	—	2	1	no	—
1612	C₄⋊C₄	—	2	1	no	—
1613	C₄⋊C₄	—	2	1	no	—
1614	C₄⋊C₄	—	2	1	no	—
1615	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1616	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1617	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1618	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1619	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1620	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1621	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1622	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1623	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1624	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1625	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1626	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1627	C₂²⋊C₄	—	2	1	no	—
1628	C₂²⋊C₄	—	2	1	no	—
1629	C₂²⋊C₄	—	2	1	no	—
1630	C₂²⋊C₄	—	2	1	no	—
1631	C₂²⋊C₄	—	2	1	no	—
1632	C₂²⋊C₄	—	2	1	no	—
1633	C₂²⋊C₄	—	2	1	no	—
1634	C₂²⋊C₄	—	2	1	no	—
1635	C₂²⋊C₄	—	2	1	no	—
1636	C₂²⋊C₄	—	2	1	no	—
1637	C₂²⋊C₄	—	2	1	no	—
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	2	1	no	—
1640	C₂²⋊C₄	—	2	1	no	—
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	—	2	1	no	—
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	2	1	no	—
1651	C₂²⋊C₄	—	2	1	no	—
1652	C₂²⋊C₄	—	2	1	no	—
1653	C₂²⋊C₄	—	2	1	no	—
1654	C₂²⋊C₄	—	2	1	no	—
1655	C₂²⋊C₄	—	2	1	no	—
1656	C₂²⋊C₄	—	2	1	no	—
1657	C₂²⋊C₄	—	2	1	no	—
1658	C₂²⋊C₄	—	2	1	no	—
1659	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1660	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1661	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1662	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1663	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1664	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1665	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1666	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1667	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1668	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1669	C₄²	—	2	1	no	—
1670	C₄²	—	2	1	no	—
1671	C₄²	—	2	1	no	—
1672	C₄²	—	2	1	no	—
1673	C₄²	—	2	1	no	—
1674	C₄²	—	2	1	no	—
1675	C₄²	—	2	1	no	—
1676	C₄²	—	2	1	no	—
1677	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1678	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1679	C₂³	—	2	2	no	—
1680	C₂³	—	2	1	no	—
1681	C₂³	—	2	1	no	—
1682	C₂³	—	2	1	no	—
1683	C₂³	—	2	1	no	—
1684	C₂³	—	4	1	no	—
1685	C₂³	—	4	1	no	—
1686	C₂³	—	4	2	no	—
1687	C₂³	—	8	1	no	—
1688	C₂³	—	8	1	no	—
1689	C₂³	—	8	1	no	—
1690	C₂³	—	8	1	no	—
1691	C₂³	—	8	1	no	—
1692	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1693	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1694	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1695	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1696	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1697	Q₈	—	2	4	no	—
1698	Q₈	—	2	1	no	—
1699	Q₈	—	2	1	no	—
1700	Q₈	—	2	1	no	—
1701	Q₈	—	2	1	no	—
1702	Q₈	—	2	1	no	—
1703	Q₈	—	2	1	no	—
1704	Q₈	—	2	1	no	—
1705	Q₈	—	2	1	no	—
1706	Q₈	—	2	1	no	—
1707	Q₈	—	2	1	no	—
1708	Q₈	—	4	1	no	—
1709	Q₈	—	4	2	no	—
1710	Q₈	—	4	2	no	—
1711	Q₈	—	4	2	no	—
1712	Q₈	—	4	2	no	—
1713	Q₈	—	4	2	no	—
1714	Q₈	—	4	2	no	—
1715	Q₈	—	4	2	no	—
1716	Q₈	—	8	1	no	—
1717	Q₈	C₃₁×H(5,𝔽₂)	1	2	yes	—
1718	Q₈	C₃₁×H(5,𝔽₂)	1	2	yes	—
1719	D₄	—	2	2	no	—
1720	D₄	—	2	2	no	—
1721	D₄	—	2	1	no	—
1722	D₄	—	2	1	no	—
1723	D₄	—	2	1	no	—
1724	D₄	—	2	1	no	—
1725	D₄	—	2	1	no	—
1726	D₄	—	2	1	no	—
1727	D₄	—	2	1	no	—
1728	D₄	—	2	1	no	—
1729	D₄	—	4	1	no	—
1730	D₄	—	4	1	no	—
1731	D₄	—	4	1	no	—
1732	D₄	—	4	1	no	—
1733	D₄	—	4	1	no	—
1734	D₄	—	4	2	no	—
1735	D₄	—	4	2	no	—
1736	D₄	—	4	2	no	—
1737	D₄	—	4	2	no	—
1738	D₄	—	4	2	no	—
1739	D₄	—	4	2	no	—
1740	D₄	—	8	1	no	—
1741	D₄	—	8	1	no	—
1742	D₄	—	8	1	no	—
1743	D₄	—	8	1	no	—
1744	D₄	—	8	1	no	—
1745	D₄	—	8	1	no	—
1746	D₄	—	8	1	no	—
1747	D₄	—	8	1	no	—
1748	D₄	—	8	1	no	—
1749	D₄	—	8	1	no	—
1750	D₄	—	8	1	no	—
1751	D₄	—	8	1	no	—
1752	D₄	—	8	1	no	—
1753	D₄	—	8	1	no	—
1754	C₂×C₄	—	2	4	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	2	1	no	—
1762	C₂×C₄	—	2	1	no	—
1763	C₂×C₄	—	2	1	no	—
1764	C₂×C₄	—	2	1	no	—
1765	C₂×C₄	—	2	1	no	—
1766	C₂×C₄	—	2	1	no	—
1767	C₂×C₄	—	2	1	no	—
1768	C₂×C₄	—	2	1	no	—
1769	C₂×C₄	—	2	1	no	—
1770	C₂×C₄	—	2	1	no	—
1771	C₂×C₄	—	2	1	no	—
1772	C₂×C₄	—	2	1	no	—
1773	C₂×C₄	—	2	1	no	—
1774	C₂×C₄	—	2	1	no	—
1775	C₂×C₄	—	2	1	no	—
1776	C₂×C₄	—	2	1	no	—
1777	C₂×C₄	—	4	1	no	—
1778	C₂×C₄	—	4	1	no	—
1779	C₂×C₄	—	4	1	no	—
1780	C₂×C₄	—	4	2	no	—
1781	C₂×C₄	—	4	2	no	—
1782	C₂×C₄	—	4	2	no	—
1783	C₂×C₄	—	4	2	no	—
1784	C₂×C₄	—	4	2	no	—
1785	C₂×C₄	—	4	2	no	—
1786	C₂×C₄	—	4	2	no	—
1787	C₂×C₄	—	4	2	no	—
1788	C₂×C₄	—	4	2	no	—
1789	C₂×C₄	—	4	2	no	—
1790	C₂×C₄	—	4	2	no	—
1791	C₂×C₄	—	8	1	no	—
1792	C₂×C₄	—	8	1	no	—
1793	C₂×C₄	—	8	1	no	—
1794	C₂×C₄	—	8	1	no	—
1795	C₂×C₄	—	8	1	no	—
1796	C₂×C₄	—	8	1	no	—
1797	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1798	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1799	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1800	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1801	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1802	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1803	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1804	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1805	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1806	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1807	C₈	—	2	1	no	—
1808	C₈	—	2	1	no	—
1809	C₈	—	2	1	no	—
1810	C₈	—	2	1	no	—
1811	C₈	—	2	1	no	—
1812	C₈	—	2	1	no	—
1813	C₈	—	2	1	no	—
1814	C₈	—	2	1	no	—
1815	C₂²	—	2	1	no	—
1816	C₂²	—	2	1	no	—
1817	C₂²	—	2	1	no	—
1818	C₂²	—	2	1	no	—
1819	C₂²	—	2	1	no	—
1820	C₂²	—	2	1	no	—
1821	C₂²	—	2	1	no	—
1822	C₂²	—	2	1	no	—
1823	C₂²	—	2	1	no	—
1824	C₂²	—	2	1	no	—
1825	C₂²	—	2	1	no	—
1826	C₂²	—	2	1	no	—
1827	C₂²	—	2	1	no	—
1828	C₂²	—	2	1	no	—
1829	C₂²	—	4	4	no	—
1830	C₂²	—	4	1	no	—
1831	C₂²	—	4	1	no	—
1832	C₂²	—	4	1	no	—
1833	C₂²	—	4	1	no	—
1834	C₂²	—	4	1	no	—
1835	C₂²	—	4	1	no	—
1836	C₂²	—	4	1	no	—
1837	C₂²	—	4	1	no	—
1838	C₂²	—	4	1	no	—
1839	C₂²	—	4	1	no	—
1840	C₂²	—	4	1	no	—
1841	C₂²	—	4	1	no	—
1842	C₂²	—	16	2	no	—
1843	C₂²	—	16	2	no	—
1844	C₂²	C₃₁×#577	1	2	yes	—
1845	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1846	C₄	—	2	2	no	—
1847	C₄	—	2	2	no	—
1848	C₄	—	2	1	no	—
1849	C₄	—	2	1	no	—
1850	C₄	—	2	1	no	—
1851	C₄	—	2	1	no	—
1852	C₄	—	2	1	no	—
1853	C₄	—	2	1	no	—
1854	C₄	—	2	1	no	—
1855	C₄	—	2	1	no	—
1856	C₄	—	2	1	no	—
1857	C₄	—	4	1	no	—
1858	C₄	—	4	1	no	—
1859	C₄	—	4	1	no	—
1860	C₄	—	4	1	no	—
1861	C₄	—	4	1	no	—
1862	C₄	—	4	1	no	—
1863	C₄	—	4	1	no	—
1864	C₄	—	4	1	no	—
1865	C₄	—	4	1	no	—
1866	C₄	—	4	1	no	—
1867	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1868	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1869	C₂	—	2	2	no	—
1870	C₂	—	4	1	no	—
1871	C₂	—	4	1	no	—
1872	C₂	—	4	1	no	—
1873	C₂	—	4	1	no	—
1874	C₂	—	8	1	no	—
1875	C₂	—	8	1	no	—
1876	C₂	—	8	1	no	—
1877	C₂	—	8	1	no	—
1878	C₂	C₃₁×#3484	1	1	yes	characteristic
1879	C₂	C₂×C₃₁×#577	1	1	yes	characteristic
1880	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×#3542	C₂	semidirect
2. C₃₁×#3486	C₂	semidirect
3. C₃₁×#3329	C₂	semidirect
4. C₃₁×#3326	C₂	semidirect
5. C₃₁×#3321	C₂	semidirect
6. C₃₁×#3320	C₂	semidirect
7. C₃₁×#3312	C₂	semidirect
8. C₃₁×#3308	C₂	semidirect
9. C₃₁×#3300	C₂	semidirect
10. C₃₁×#3298	C₂	semidirect
11. C₃₁×#3282	C₂	semidirect
12. D₄×SD₁₆×C₃₁	C₂	semidirect
13. C₃₁×#3278	C₂	semidirect
14. C₃₁×#3275	C₂	semidirect
15. C₃₁×#3271	C₂	semidirect
16. C₃₁×#3266	C₂	semidirect
17. C₃₁×#3266	C₂	semidirect
18. C₃₁×#3265	C₂	semidirect
19. C₃₁×#3225	C₂	semidirect
20. C₃₁×#3221	C₂	semidirect
21. C₃₁×#3201	C₂	semidirect
22. C₃₁×#3200	C₂	semidirect
23. C₃₁×#3194	C₂	semidirect
24. C₃₁×#3191	C₂	semidirect
25. C₃₁×#3126	C₂	semidirect
26. C₃₁×#3121	C₂	semidirect
27. C₃₁×#3013	C₂	semidirect
28. C₃₁×#3010	C₂	semidirect
29. C₃₁×#3004	C₂	semidirect
30. C₂×C₃₁×#448	C₂	semidirect
31. C₃₁×#2976	C₂	semidirect
32. C₂×C₃₁×2₋¹⁺⁴	C₂²	semidirect
33. C₂³×Q₈×C₃₁	C₂²	semidirect
34. C₂×C₃₁×#137	C₂²	semidirect
35. C₂×C₃₁×#137	C₂²	semidirect
36. C₂×C₃₁×#137	C₂²	semidirect
37. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
38. C₂×C₃₁×#135	C₂²	semidirect
41. C₂²×SD₁₆×C₃₁	C₂²	semidirect
52. D₄×Q₈×C₃₁	C₂²	semidirect
53. D₄×Q₈×C₃₁	C₂²	semidirect
54. D₄×Q₈×C₃₁	C₂²	semidirect
58. C₃₁×#548	C₂²	semidirect
59. C₃₁×#548	C₂²	semidirect
60. C₃₁×#548	C₂²	semidirect
73. C₃₁×#536	C₂²	semidirect
74. C₃₁×#536	C₂²	semidirect
82. C₃₁×#525	C₂²	semidirect
84. C₃₁×#519	C₂²	semidirect
85. C₃₁×#497	C₂²	semidirect
86. C₃₁×#496	C₂²	semidirect
87. C₃₁×#495	C₂²	semidirect
88. C₃₁×#492	C₂²	semidirect
89. C₃₁×#491	C₂²	semidirect
90. C₃₁×#489	C₂²	semidirect
91. C₃₁×#488	C₂²	semidirect
92. C₃₁×#487	C₂²	semidirect
93. C₃₁×#485	C₂²	semidirect
94. C₃₁×#485	C₂²	semidirect
95. C₃₁×#485	C₂²	semidirect
96. C₃₁×#485	C₂²	semidirect
97. C₃₁×#484	C₂²	semidirect
98. C₃₁×#483	C₂²	semidirect
99. C₃₁×#483	C₂²	semidirect
101. C₃₁×#482	C₂²	semidirect
102. C₃₁×#482	C₂²	semidirect
103. C₃₁×#482	C₂²	semidirect
104. C₃₁×#480	C₂²	semidirect
105. C₃₁×#479	C₂²	semidirect
106. C₃₁×#479	C₂²	semidirect
107. C₃₁×#477	C₂²	semidirect
108. C₃₁×#475	C₂²	semidirect
109. C₃₁×#470	C₂²	semidirect
111. C₃₁×#469	C₂²	semidirect
113. C₃₁×#468	C₂²	semidirect
114. C₃₁×#468	C₂²	semidirect
115. C₃₁×#468	C₂²	semidirect
116. C₃₁×#468	C₂²	semidirect
117. C₃₁×#467	C₂²	semidirect
118. C₃₁×#467	C₂²	semidirect
121. C₃₁×#465	C₂²	semidirect
122. C₃₁×#465	C₂²	semidirect
123. C₃₁×#465	C₂²	semidirect
124. C₃₁×#465	C₂²	semidirect
125. C₃₁×#464	C₂²	semidirect
126. C₃₁×#464	C₂²	semidirect
127. C₃₁×#464	C₂²	semidirect
128. C₃₁×#463	C₂²	semidirect
129. C₃₁×#463	C₂²	semidirect
130. C₃₁×#463	C₂²	semidirect
131. C₃₁×#462	C₂²	semidirect
132. C₃₁×#461	C₂²	semidirect
133. C₃₁×#461	C₂²	semidirect
134. C₃₁×#461	C₂²	semidirect
135. C₃₁×#460	C₂²	semidirect
136. C₃₁×#460	C₂²	semidirect
137. C₃₁×#452	C₂²	semidirect
138. C₃₁×#452	C₂²	semidirect
139. C₃₁×#452	C₂²	semidirect
140. C₃₁×#452	C₂²	semidirect
141. C₃₁×#452	C₂²	semidirect
142. C₃₁×#451	C₂²	semidirect
143. C₃₁×#451	C₂²	semidirect
144. C₃₁×#451	C₂²	semidirect
145. C₃₁×#451	C₂²	semidirect
146. C₃₁×#451	C₂²	semidirect
148. C₃₁×#450	C₂²	semidirect
149. C₃₁×#450	C₂²	semidirect
151. C₃₁×#449	C₂²	semidirect
152. C₃₁×#449	C₂²	semidirect
153. C₃₁×#449	C₂²	semidirect
154. C₃₁×#449	C₂²	semidirect
155. C₃₁×#449	C₂²	semidirect
156. C₃₁×#449	C₂²	semidirect
163. C₃₁×#448	C₂²	semidirect
164. C₃₁×#448	C₂²	semidirect
165. C₃₁×#448	C₂²	semidirect
166. C₃₁×#448	C₂²	semidirect
167. C₃₁×#448	C₂²	semidirect
168. C₃₁×#448	C₂²	semidirect
169. C₃₁×#448	C₂²	semidirect
170. C₃₁×#448	C₂²	semidirect
171. C₃₁×#448	C₂²	semidirect
173. C₃₁×#441	C₂²	semidirect
174. C₃₁×#440	C₂²	semidirect
175. C₃₁×#440	C₂²	semidirect
176. C₃₁×#440	C₂²	semidirect
177. C₄×Q₁₆×C₃₁	C₂²	semidirect
178. C₄×SD₁₆×C₃₁	C₂²	semidirect
179. C₄×SD₁₆×C₃₁	C₂²	semidirect
180. C₄×SD₁₆×C₃₁	C₂²	semidirect
181. C₃₁×#436	C₂²	semidirect
182. C₃₁×#436	C₂²	semidirect
184. C₃₁×#435	C₂²	semidirect
185. C₃₁×#435	C₂²	semidirect
186. C₃₁×#435	C₂²	semidirect
188. C₈×D₄×C₃₁	C₂²	semidirect
189. C₃₁×#433	C₂²	semidirect
190. C₃₁×#433	C₂²	semidirect
191. C₃₁×#419	C₂²	semidirect
192. C₃₁×#419	C₂²	semidirect
193. C₃₁×#419	C₂²	semidirect
194. C₃₁×#417	C₂²	semidirect
195. C₃₁×#416	C₂²	semidirect
196. C₂×C₃₁×#103	C₂²	semidirect
197. C₂×C₃₁×#103	C₂²	semidirect
198. C₂×C₃₁×#103	C₂²	semidirect
199. C₃₁×#408	C₂²	semidirect
200. C₃₁×#408	C₂²	semidirect
201. C₃₁×#407	C₂²	semidirect
202. C₂×C₃₁×C₂²⋊C₈	C₂²	semidirect
738. #61611	C₃₁	direct (N × H)
875. #3542	C₂×C₃₁	semidirect
876. #3486	C₂×C₃₁	semidirect
877. #3329	C₂×C₃₁	semidirect
878. #3326	C₂×C₃₁	semidirect
879. #3321	C₂×C₃₁	semidirect
880. #3320	C₂×C₃₁	semidirect
881. #3312	C₂×C₃₁	semidirect
882. #3308	C₂×C₃₁	semidirect
883. #3300	C₂×C₃₁	semidirect
884. #3298	C₂×C₃₁	semidirect
885. #3282	C₂×C₃₁	semidirect
886. D₄×SD₁₆	C₂×C₃₁	semidirect
887. #3278	C₂×C₃₁	semidirect
888. #3275	C₂×C₃₁	semidirect
889. #3271	C₂×C₃₁	semidirect
890. #3266	C₂×C₃₁	semidirect
891. #3266	C₂×C₃₁	semidirect
892. #3265	C₂×C₃₁	semidirect
893. #3225	C₂×C₃₁	semidirect
894. #3221	C₂×C₃₁	semidirect
895. #3201	C₂×C₃₁	semidirect
896. #3200	C₂×C₃₁	semidirect
897. #3194	C₂×C₃₁	semidirect
898. #3191	C₂×C₃₁	semidirect
899. #3126	C₂×C₃₁	semidirect
900. #3121	C₂×C₃₁	semidirect
901. #3013	C₂×C₃₁	semidirect
902. #3010	C₂×C₃₁	semidirect
903. #3004	C₂×C₃₁	semidirect
904. C₂×#448	C₂×C₃₁	semidirect
905. #2976	C₂×C₃₁	semidirect
960. C₂×2₋¹⁺⁴	C₂²×C₃₁	semidirect
961. C₂³×Q₈	C₂²×C₃₁	semidirect
962. C₂×#137	C₂²×C₃₁	semidirect
963. C₂×#137	C₂²×C₃₁	semidirect
964. C₂×#137	C₂²×C₃₁	semidirect
965. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
966. C₂×#135	C₂²×C₃₁	semidirect
969. C₂²×SD₁₆	C₂²×C₃₁	semidirect
980. D₄×Q₈	C₂²×C₃₁	semidirect
981. D₄×Q₈	C₂²×C₃₁	semidirect
982. D₄×Q₈	C₂²×C₃₁	semidirect
986. #548	C₂²×C₃₁	semidirect
987. #548	C₂²×C₃₁	semidirect
988. #548	C₂²×C₃₁	semidirect
1001. #536	C₂²×C₃₁	semidirect
1002. #536	C₂²×C₃₁	semidirect
1010. #525	C₂²×C₃₁	semidirect
1012. #519	C₂²×C₃₁	semidirect
1013. #497	C₂²×C₃₁	semidirect
1014. #496	C₂²×C₃₁	semidirect
1015. #495	C₂²×C₃₁	semidirect
1016. #492	C₂²×C₃₁	semidirect
1017. #491	C₂²×C₃₁	semidirect
1018. #489	C₂²×C₃₁	semidirect
1019. #488	C₂²×C₃₁	semidirect
1020. #487	C₂²×C₃₁	semidirect
1021. #485	C₂²×C₃₁	semidirect
1022. #485	C₂²×C₃₁	semidirect
1023. #485	C₂²×C₃₁	semidirect
1024. #485	C₂²×C₃₁	semidirect
1025. #484	C₂²×C₃₁	semidirect
1026. #483	C₂²×C₃₁	semidirect
1027. #483	C₂²×C₃₁	semidirect
1029. #482	C₂²×C₃₁	semidirect
1030. #482	C₂²×C₃₁	semidirect
1031. #482	C₂²×C₃₁	semidirect
1032. #480	C₂²×C₃₁	semidirect
1033. #479	C₂²×C₃₁	semidirect
1034. #479	C₂²×C₃₁	semidirect
1035. #477	C₂²×C₃₁	semidirect
1036. #475	C₂²×C₃₁	semidirect
1037. #470	C₂²×C₃₁	semidirect
1039. #469	C₂²×C₃₁	semidirect
1041. #468	C₂²×C₃₁	semidirect
1042. #468	C₂²×C₃₁	semidirect
1043. #468	C₂²×C₃₁	semidirect
1044. #468	C₂²×C₃₁	semidirect
1045. #467	C₂²×C₃₁	semidirect
1046. #467	C₂²×C₃₁	semidirect
1049. #465	C₂²×C₃₁	semidirect
1050. #465	C₂²×C₃₁	semidirect
1051. #465	C₂²×C₃₁	semidirect
1052. #465	C₂²×C₃₁	semidirect
1053. #464	C₂²×C₃₁	semidirect
1054. #464	C₂²×C₃₁	semidirect
1055. #464	C₂²×C₃₁	semidirect
1056. #463	C₂²×C₃₁	semidirect
1057. #463	C₂²×C₃₁	semidirect
1058. #463	C₂²×C₃₁	semidirect
1059. #462	C₂²×C₃₁	semidirect
1060. #461	C₂²×C₃₁	semidirect
1061. #461	C₂²×C₃₁	semidirect
1062. #461	C₂²×C₃₁	semidirect
1063. #460	C₂²×C₃₁	semidirect
1064. #460	C₂²×C₃₁	semidirect
1065. #452	C₂²×C₃₁	semidirect
1066. #452	C₂²×C₃₁	semidirect
1067. #452	C₂²×C₃₁	semidirect
1068. #452	C₂²×C₃₁	semidirect
1069. #452	C₂²×C₃₁	semidirect
1070. #451	C₂²×C₃₁	semidirect
1071. #451	C₂²×C₃₁	semidirect
1072. #451	C₂²×C₃₁	semidirect
1073. #451	C₂²×C₃₁	semidirect
1074. #451	C₂²×C₃₁	semidirect
1076. #450	C₂²×C₃₁	semidirect
1077. #450	C₂²×C₃₁	semidirect
1079. #449	C₂²×C₃₁	semidirect
1080. #449	C₂²×C₃₁	semidirect
1081. #449	C₂²×C₃₁	semidirect
1082. #449	C₂²×C₃₁	semidirect
1083. #449	C₂²×C₃₁	semidirect
1084. #449	C₂²×C₃₁	semidirect
1091. #448	C₂²×C₃₁	semidirect
1092. #448	C₂²×C₃₁	semidirect
1093. #448	C₂²×C₃₁	semidirect
1094. #448	C₂²×C₃₁	semidirect
1095. #448	C₂²×C₃₁	semidirect
1096. #448	C₂²×C₃₁	semidirect
1097. #448	C₂²×C₃₁	semidirect
1098. #448	C₂²×C₃₁	semidirect
1099. #448	C₂²×C₃₁	semidirect
1101. #441	C₂²×C₃₁	semidirect
1102. #440	C₂²×C₃₁	semidirect
1103. #440	C₂²×C₃₁	semidirect
1104. #440	C₂²×C₃₁	semidirect
1105. C₄×Q₁₆	C₂²×C₃₁	semidirect
1106. C₄×SD₁₆	C₂²×C₃₁	semidirect
1107. C₄×SD₁₆	C₂²×C₃₁	semidirect
1108. C₄×SD₁₆	C₂²×C₃₁	semidirect
1109. #436	C₂²×C₃₁	semidirect
1110. #436	C₂²×C₃₁	semidirect
1112. #435	C₂²×C₃₁	semidirect
1113. #435	C₂²×C₃₁	semidirect
1114. #435	C₂²×C₃₁	semidirect
1116. C₈×D₄	C₂²×C₃₁	semidirect
1117. #433	C₂²×C₃₁	semidirect
1118. #433	C₂²×C₃₁	semidirect
1119. #419	C₂²×C₃₁	semidirect
1120. #419	C₂²×C₃₁	semidirect
1121. #419	C₂²×C₃₁	semidirect
1122. #417	C₂²×C₃₁	semidirect
1123. #416	C₂²×C₃₁	semidirect
1124. C₂×#103	C₂²×C₃₁	semidirect
1125. C₂×#103	C₂²×C₃₁	semidirect
1126. C₂×#103	C₂²×C₃₁	semidirect
1127. #408	C₂²×C₃₁	semidirect
1128. #408	C₂²×C₃₁	semidirect
1129. #407	C₂²×C₃₁	semidirect
1130. C₂×C₂²⋊C₈	C₂²×C₃₁	semidirect
1430. C₃₁	#61611	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×#3542	2
C₃₁×#3486	2
C₃₁×#3329	2
C₃₁×#3326	2
C₃₁×#3321	2
C₃₁×#3320	2
C₃₁×#3312	2
C₃₁×#3308	2
C₃₁×#3300	2
C₃₁×#3298	2
C₃₁×#3282	2
D₄×SD₁₆×C₃₁	2
C₃₁×#3278	2
C₃₁×#3275	2
C₃₁×#3271	2
C₃₁×#3266	2
C₃₁×#3265	2
C₃₁×#3225	2
C₃₁×#3221	2
C₃₁×#3201	2
C₃₁×#3200	2
C₃₁×#3194	2
C₃₁×#3191	2
C₃₁×#3126	2
C₃₁×#3121	2
C₃₁×#3013	2
C₃₁×#3010	2
C₃₁×#3004	2
C₂×C₃₁×#448	2
C₃₁×#2976	2
#61611	31

Subgroups — C31×#61611 #21518370

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61611 #21518370