Subgroups — C₃₁×#61628 #21518387

Order 7936.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3539	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3488	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3327	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3326	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3318	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3317	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3310	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3309	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3297	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3296	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3287	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3284	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3272	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3269	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3268	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3267	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3222	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3220	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3204	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3203	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3194	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3188	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3012	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#3012	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#3005	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃₁×#3002	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃₁×#2976	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₃₁×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
33	C₂²×#41×C₃₁	C₂²	1	1	yes	characteristic
34	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic, complemented
42	C₃₁×#560	—	2	1	no	—
43	C₃₁×#560	—	2	1	no	—
44	C₃₁×#553	—	2	1	no	—
45	C₃₁×#553	—	2	1	no	—
46	C₃₁×#553	C₂²	1	1	yes	characteristic, complemented
47	C₃₁×#553	C₂²	1	1	yes	characteristic, complemented
48	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
49	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
50	C₃₁×#550	C₂²	1	1	yes	characteristic
51	C₃₁×#550	C₂²	1	1	yes	characteristic
52	C₃₁×#550	C₂²	1	1	yes	characteristic, complemented
53	C₃₁×#550	C₂²	1	1	yes	characteristic, complemented
54	C₃₁×#548	C₂²	1	1	yes	characteristic
55	C₃₁×#548	C₂²	1	1	yes	characteristic
56	C₃₁×#547	C₂²	1	1	yes	characteristic, complemented
57	C₃₁×#547	C₂²	1	1	yes	characteristic, complemented
58	C₃₁×#546	—	2	1	no	—
59	C₃₁×#546	—	2	1	no	—
60	C₃₁×#546	C₂²	1	1	yes	characteristic
61	C₃₁×#546	C₂²	1	1	yes	characteristic
62	D₄²×C₃₁	—	2	1	no	—
63	D₄²×C₃₁	—	2	1	no	—
64	D₄²×C₃₁	C₂²	1	1	yes	characteristic
65	D₄²×C₃₁	C₂²	1	1	yes	characteristic
66	C₃₁×#541	C₂²	1	1	yes	characteristic, complemented
67	C₃₁×#540	—	2	1	no	—
68	C₃₁×#540	—	2	1	no	—
69	C₃₁×#540	C₂²	1	1	yes	characteristic, complemented
70	C₃₁×#539	—	2	1	no	—
71	C₃₁×#539	—	2	1	no	—
72	C₃₁×#537	—	2	1	no	—
73	C₃₁×#537	C₂²	1	1	yes	characteristic
74	C₃₁×#537	C₂²	1	1	yes	characteristic, complemented
75	C₃₁×#537	C₂²	1	1	yes	characteristic, complemented
76	C₃₁×#535	—	2	1	no	—
77	C₃₁×#535	C₂²	1	1	yes	characteristic
78	C₃₁×#525	—	2	1	no	—
79	C₃₁×#525	C₂²	1	1	yes	characteristic
80	C₃₁×#525	C₂²	1	1	yes	characteristic, complemented
81	C₃₁×#525	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₃₁×#121	—	2	1	no	—
83	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic
84	C₃₁×#520	C₂²	1	1	yes	characteristic
85	C₃₁×#497	C₂²	1	1	yes	characteristic, complemented
86	C₃₁×#496	C₂²	1	1	yes	characteristic, complemented
87	C₃₁×#493	C₂²	1	1	yes	characteristic, complemented
88	C₃₁×#492	C₂²	1	1	yes	characteristic, complemented
89	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
90	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
91	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
92	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
93	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
94	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
95	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
96	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
97	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
98	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
99	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
100	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
101	C₃₁×#481	C₂²	1	1	yes	characteristic, complemented
102	C₃₁×#481	C₂²	1	1	yes	characteristic, complemented
103	C₃₁×#480	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×#478	C₂²	1	1	yes	characteristic, complemented
108	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
110	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
111	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
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×#466	C₂²	1	1	yes	characteristic, complemented
119	C₃₁×#466	C₂²	1	1	yes	characteristic, complemented
120	C₃₁×#466	C₂²	1	1	yes	characteristic, complemented
121	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
122	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
123	C₃₁×#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×#463	C₂²	1	1	yes	characteristic, complemented
128	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
129	C₃₁×#462	C₂²	1	1	yes	characteristic, complemented
130	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
131	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
132	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
133	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
134	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
135	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
136	C₃₁×#459	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, complemented
140	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
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×#452	C₂²	1	1	yes	characteristic, complemented
147	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
148	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
149	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
150	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
151	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
152	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
153	C₃₁×#449	C₂²	1	1	yes	characteristic
154	C₃₁×#449	C₂²	1	1	yes	characteristic
155	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
156	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
157	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
158	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
159	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
160	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
161	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
162	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
163	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
164	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
165	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
166	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
167	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
168	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
169	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
170	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
171	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
172	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
173	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
174	C₃₁×#441	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×D₈×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, complemented
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, complemented
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×#418	C₂²	1	1	yes	characteristic, complemented
193	C₃₁×#417	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	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₃₁×#102	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₃₁×#102	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×H(5,𝔽₂)	—	4	2	no	—
204	C₃₁×H(5,𝔽₂)	—	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	—	4	2	no	—
209	C₂×#41×C₃₁	—	4	2	no	—
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	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
216	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
217	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
218	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
219	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
220	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
221	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
222	C₂²×D₄×C₃₁	—	2	1	no	—
223	C₂²×D₄×C₃₁	—	2	1	no	—
224	C₂²×D₄×C₃₁	—	2	1	no	—
225	C₂²×D₄×C₃₁	—	2	1	no	—
226	C₂²×D₄×C₃₁	—	2	1	no	—
227	C₂²×D₄×C₃₁	—	2	1	no	—
228	C₂²×D₄×C₃₁	—	2	1	no	—
229	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
230	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
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×AGL(1,ℤ/8)	—	4	2	no	—
237	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
238	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
239	C₃₁×#135	—	4	2	no	—
240	C₃₁×#135	—	4	2	no	—
241	C₃₁×#135	—	4	2	no	—
242	C₃₁×#135	—	4	2	no	—
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×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
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×D₈×C₃₁	C₂³	1	1	yes	characteristic
260	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
261	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
262	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
263	C₂×D₈×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	C₂³	1	1	yes	characteristic
276	C₃₁×#127	—	2	1	no	—
277	C₃₁×#127	—	2	1	no	—
278	C₃₁×#127	—	2	1	no	—
279	C₃₁×#127	—	2	1	no	—
280	C₃₁×#127	C₂³	1	1	yes	characteristic
281	C₃₁×#127	C₂³	1	1	yes	characteristic
282	C₃₁×#127	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×#125	—	2	1	no	—
290	C₃₁×#125	—	2	1	no	—
291	C₃₁×#125	—	2	1	no	—
292	C₃₁×#125	—	2	1	no	—
293	C₃₁×#125	C₂³	1	1	yes	characteristic
294	C₃₁×#125	C₂³	1	1	yes	characteristic
295	C₃₁×#124	—	2	1	no	—
296	C₃₁×#124	—	2	1	no	—
297	C₃₁×#124	C₂³	1	1	yes	characteristic
298	C₃₁×#124	C₂³	1	1	yes	characteristic
299	C₃₁×#123	—	2	1	no	—
300	C₃₁×#123	—	2	1	no	—
301	C₃₁×#123	—	2	1	no	—
302	C₃₁×#123	—	2	1	no	—
303	C₃₁×#123	—	2	1	no	—
304	C₃₁×#123	—	2	1	no	—
305	C₃₁×#123	—	2	1	no	—
306	C₃₁×#123	—	2	1	no	—
307	C₃₁×#123	—	2	1	no	—
308	C₃₁×#123	—	2	1	no	—
309	C₃₁×#123	—	2	1	no	—
310	C₃₁×#123	—	2	1	no	—
311	C₃₁×#123	—	2	1	no	—
312	C₃₁×#123	—	2	1	no	—
313	C₃₁×#123	D₄	1	1	yes	characteristic
314	C₃₁×#123	D₄	1	1	yes	characteristic
315	C₃₁×C₂²⋊Q₈	—	2	1	no	—
316	C₃₁×C₂²⋊Q₈	—	2	1	no	—
317	C₃₁×C₂²⋊Q₈	—	2	1	no	—
318	C₃₁×C₂²⋊Q₈	—	2	1	no	—
319	C₃₁×C₂²⋊Q₈	—	2	1	no	—
320	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
321	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
322	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
323	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
324	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
325	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
326	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
327	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
328	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
329	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
330	C₃₁×#121	—	2	1	no	—
331	C₃₁×#121	—	2	1	no	—
332	C₃₁×#121	—	2	1	no	—
333	C₃₁×#121	—	2	1	no	—
334	C₃₁×#121	—	2	1	no	—
335	C₃₁×#121	—	2	1	no	—
336	C₃₁×#121	—	2	1	no	—
337	C₃₁×#121	—	2	1	no	—
338	C₃₁×#121	—	2	1	no	—
339	C₃₁×#121	—	2	1	no	—
340	C₃₁×#121	—	2	1	no	—
341	C₃₁×#121	—	2	1	no	—
342	C₃₁×#121	—	2	1	no	—
343	C₃₁×#121	—	2	1	no	—
344	C₃₁×#121	—	2	1	no	—
345	C₃₁×#121	—	2	1	no	—
346	C₃₁×#121	—	2	1	no	—
347	C₃₁×#121	—	2	1	no	—
348	C₃₁×#121	—	2	1	no	—
349	C₃₁×#121	—	2	1	no	—
350	C₃₁×#121	—	2	1	no	—
351	C₃₁×#121	—	2	1	no	—
352	C₃₁×#121	—	2	1	no	—
353	C₃₁×#121	—	2	1	no	—
354	C₃₁×#121	—	2	1	no	—
355	C₃₁×#121	—	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	D₄	1	1	yes	characteristic
364	C₃₁×#121	D₄	1	1	yes	characteristic
365	C₃₁×#121	C₂³	1	1	yes	characteristic
366	C₃₁×#121	C₂³	1	1	yes	characteristic
367	C₃₁×#121	C₂³	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×#120	—	2	1	no	—
378	C₃₁×#120	—	2	1	no	—
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	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×D₄×C₃₁	—	2	1	no	—
394	C₄×D₄×C₃₁	—	2	1	no	—
395	C₄×D₄×C₃₁	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
408	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
409	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
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	C₃₁×#117	—	2	1	no	—
416	C₃₁×#117	—	2	1	no	—
417	C₃₁×#117	—	2	1	no	—
418	C₃₁×#117	C₂³	1	1	yes	characteristic
419	C₃₁×#117	C₂³	1	1	yes	characteristic
420	C₃₁×#117	C₂³	1	1	yes	characteristic
421	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
422	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
423	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
424	C₂×C₄⋊C₄×C₃₁	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×#102	C₂³	1	1	yes	characteristic
455	C₃₁×#102	C₂³	1	1	yes	characteristic
456	C₃₁×#102	C₂³	1	1	yes	characteristic
457	C₃₁×#102	C₂³	1	1	yes	characteristic
458	C₃₁×#102	C₂³	1	1	yes	characteristic
459	C₃₁×#102	C₂³	1	1	yes	characteristic
460	C₃₁×#102	C₂³	1	1	yes	characteristic
461	C₃₁×#102	C₂³	1	1	yes	characteristic
462	C₃₁×#102	C₂³	1	1	yes	characteristic
463	C₃₁×#102	C₂³	1	1	yes	characteristic
464	C₃₁×#102	C₂³	1	1	yes	characteristic
465	C₃₁×#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	—	2	1	no	—
493	C₂⁴×C₃₁	—	2	1	no	—
494	C₂⁴×C₃₁	C₂×D₄	1	1	yes	characteristic
495	#41×C₃₁	—	2	2	no	—
496	#41×C₃₁	—	2	2	no	—
497	#41×C₃₁	—	2	2	no	—
498	#41×C₃₁	—	2	2	no	—
499	#41×C₃₁	—	2	2	no	—
500	#41×C₃₁	—	2	2	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	1	no	—
506	#41×C₃₁	—	4	1	no	—
507	#41×C₃₁	—	4	1	no	—
508	#41×C₃₁	—	4	1	no	—
509	#41×C₃₁	—	4	4	no	—
510	#41×C₃₁	—	4	4	no	—
511	#41×C₃₁	—	4	1	no	—
512	#41×C₃₁	—	4	1	no	—
513	#41×C₃₁	—	4	1	no	—
514	#41×C₃₁	—	4	1	no	—
515	#41×C₃₁	—	4	1	no	—
516	#41×C₃₁	—	4	1	no	—
517	#41×C₃₁	—	4	1	no	—
518	#41×C₃₁	—	4	1	no	—
519	#41×C₃₁	—	4	4	no	—
520	C₂×Q₈×C₃₁	—	2	1	no	—
521	C₂×Q₈×C₃₁	—	2	2	no	—
522	C₂×Q₈×C₃₁	—	4	1	no	—
523	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
524	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
525	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
526	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
527	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
528	C₂×D₄×C₃₁	—	2	1	no	—
529	C₂×D₄×C₃₁	—	2	2	no	—
530	C₂×D₄×C₃₁	—	2	2	no	—
531	C₂×D₄×C₃₁	—	2	2	no	—
532	C₂×D₄×C₃₁	—	2	1	no	—
533	C₂×D₄×C₃₁	—	2	1	no	—
534	C₂×D₄×C₃₁	—	2	1	no	—
535	C₂×D₄×C₃₁	—	2	1	no	—
536	C₂×D₄×C₃₁	—	2	1	no	—
537	C₂×D₄×C₃₁	—	2	1	no	—
538	C₂×D₄×C₃₁	—	2	1	no	—
539	C₂×D₄×C₃₁	—	2	1	no	—
540	C₂×D₄×C₃₁	—	2	1	no	—
541	C₂×D₄×C₃₁	—	2	1	no	—
542	C₂×D₄×C₃₁	—	2	1	no	—
543	C₂×D₄×C₃₁	—	2	1	no	—
544	C₂×D₄×C₃₁	—	2	1	no	—
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	—	4	1	no	—
564	C₂×D₄×C₃₁	—	4	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	4	no	—
569	C₂×D₄×C₃₁	—	4	4	no	—
570	C₂×D₄×C₃₁	—	4	4	no	—
571	C₂×D₄×C₃₁	—	4	4	no	—
572	C₂×D₄×C₃₁	—	8	2	no	—
573	C₂×D₄×C₃₁	—	8	2	no	—
574	C₂×D₄×C₃₁	—	8	2	no	—
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	C₂×D₄	1	1	yes	characteristic
579	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
580	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
581	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
582	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
583	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
584	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
585	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
586	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
587	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
601	C₂²×C₄×C₃₁	—	2	1	no	—
602	C₂²×C₄×C₃₁	—	2	1	no	—
603	C₂²×C₄×C₃₁	—	2	1	no	—
604	C₂²×C₄×C₃₁	—	2	1	no	—
605	C₂²×C₄×C₃₁	—	2	1	no	—
606	C₂²×C₄×C₃₁	—	4	1	no	—
607	C₂²×C₄×C₃₁	—	4	1	no	—
608	C₂²×C₄×C₃₁	—	4	4	no	—
609	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
610	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
611	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
612	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
613	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
614	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
615	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
616	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
617	Q₁₆×C₃₁	—	2	2	no	—
618	Q₁₆×C₃₁	—	2	2	no	—
619	Q₁₆×C₃₁	—	4	1	no	—
620	Q₁₆×C₃₁	—	4	1	no	—
621	SD₁₆×C₃₁	—	2	2	no	—
622	SD₁₆×C₃₁	—	2	2	no	—
623	SD₁₆×C₃₁	—	2	2	no	—
624	SD₁₆×C₃₁	—	2	2	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	SD₁₆×C₃₁	—	4	1	no	—
633	D₈×C₃₁	—	2	2	no	—
634	D₈×C₃₁	—	2	2	no	—
635	D₈×C₃₁	—	4	1	no	—
636	D₈×C₃₁	—	4	1	no	—
637	D₈×C₃₁	—	4	1	no	—
638	D₈×C₃₁	—	4	1	no	—
639	D₈×C₃₁	—	4	1	no	—
640	D₈×C₃₁	—	4	1	no	—
641	M₁₆×C₃₁	—	4	1	no	—
642	M₁₆×C₃₁	—	4	1	no	—
643	M₁₆×C₃₁	—	4	1	no	—
644	M₁₆×C₃₁	—	4	1	no	—
645	C₂×C₈×C₃₁	—	4	1	no	—
646	C₂×C₈×C₃₁	—	4	1	no	—
647	C₂×C₈×C₃₁	—	4	1	no	—
648	C₂×C₈×C₃₁	—	4	1	no	—
649	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
650	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
651	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
652	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
653	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
654	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
655	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
656	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
675	C₄⋊C₄×C₃₁	—	2	1	no	—
676	C₄⋊C₄×C₃₁	—	2	1	no	—
677	C₄⋊C₄×C₃₁	—	2	1	no	—
678	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
679	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
680	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
681	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
682	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
683	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
684	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
685	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
686	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
687	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
688	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
689	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
719	C₂²⋊C₄×C₃₁	—	2	1	no	—
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	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
729	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
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	#61628	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
739	C₂³×C₃₁	—	2	1	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	—	2	1	no	—
745	C₂³×C₃₁	—	4	1	no	—
746	C₂³×C₃₁	—	4	1	no	—
747	C₂³×C₃₁	—	4	1	no	—
748	C₂³×C₃₁	—	4	2	no	—
749	C₂³×C₃₁	—	4	2	no	—
750	C₂³×C₃₁	—	4	2	no	—
751	C₂³×C₃₁	—	4	2	no	—
752	C₂³×C₃₁	—	4	2	no	—
753	C₂³×C₃₁	—	8	1	no	—
754	C₂³×C₃₁	—	8	1	no	—
755	C₂³×C₃₁	—	8	1	no	—
756	C₂³×C₃₁	—	8	1	no	—
757	C₂³×C₃₁	—	8	1	no	—
758	C₂³×C₃₁	—	8	1	no	—
759	C₂³×C₃₁	—	8	1	no	—
760	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
761	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
762	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
763	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
764	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
765	Q₈×C₃₁	—	2	1	no	—
766	Q₈×C₃₁	—	2	1	no	—
767	Q₈×C₃₁	—	2	1	no	—
768	Q₈×C₃₁	—	2	1	no	—
769	Q₈×C₃₁	—	2	1	no	—
770	Q₈×C₃₁	—	2	1	no	—
771	Q₈×C₃₁	—	2	1	no	—
772	Q₈×C₃₁	—	4	1	no	—
773	Q₈×C₃₁	—	4	2	no	—
774	Q₈×C₃₁	H(5,𝔽₂)	1	2	yes	—
775	D₄×C₃₁	—	2	4	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	—	2	1	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	—	4	1	no	—
788	D₄×C₃₁	—	4	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	—	4	2	no	—
801	D₄×C₃₁	—	4	2	no	—
802	D₄×C₃₁	—	4	2	no	—
803	D₄×C₃₁	—	4	2	no	—
804	D₄×C₃₁	—	4	2	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	D₄×C₃₁	—	8	1	no	—
815	D₄×C₃₁	—	8	1	no	—
816	D₄×C₃₁	—	8	1	no	—
817	D₄×C₃₁	—	8	1	no	—
818	D₄×C₃₁	—	8	1	no	—
819	D₄×C₃₁	—	8	1	no	—
820	D₄×C₃₁	—	8	1	no	—
821	D₄×C₃₁	—	8	1	no	—
822	D₄×C₃₁	—	8	1	no	—
823	D₄×C₃₁	—	8	1	no	—
824	D₄×C₃₁	—	8	1	no	—
825	D₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
826	C₂×C₄×C₃₁	—	2	4	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	—	2	1	no	—
838	C₂×C₄×C₃₁	—	2	1	no	—
839	C₂×C₄×C₃₁	—	2	1	no	—
840	C₂×C₄×C₃₁	—	2	1	no	—
841	C₂×C₄×C₃₁	—	2	1	no	—
842	C₂×C₄×C₃₁	—	2	1	no	—
843	C₂×C₄×C₃₁	—	2	1	no	—
844	C₂×C₄×C₃₁	—	2	1	no	—
845	C₂×C₄×C₃₁	—	2	1	no	—
846	C₂×C₄×C₃₁	—	2	1	no	—
847	C₂×C₄×C₃₁	—	4	1	no	—
848	C₂×C₄×C₃₁	—	4	1	no	—
849	C₂×C₄×C₃₁	—	4	1	no	—
850	C₂×C₄×C₃₁	—	4	2	no	—
851	C₂×C₄×C₃₁	—	4	2	no	—
852	C₂×C₄×C₃₁	—	4	2	no	—
853	C₂×C₄×C₃₁	—	4	2	no	—
854	C₂×C₄×C₃₁	—	4	2	no	—
855	C₂×C₄×C₃₁	—	4	2	no	—
856	C₂×C₄×C₃₁	—	8	1	no	—
857	C₂×C₄×C₃₁	—	8	1	no	—
858	C₂×C₄×C₃₁	—	8	1	no	—
859	C₂×C₄×C₃₁	—	8	1	no	—
860	C₂×C₄×C₃₁	—	8	1	no	—
861	C₂×C₄×C₃₁	—	8	1	no	—
862	C₂×C₄×C₃₁	—	8	1	no	—
863	C₂×C₄×C₃₁	—	8	1	no	—
864	C₂×C₄×C₃₁	—	8	1	no	—
865	C₂×C₄×C₃₁	—	8	1	no	—
866	C₂×C₄×C₃₁	—	8	1	no	—
867	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
868	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
869	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
870	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
871	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
872	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
873	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
874	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
875	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
876	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
877	C₈×C₃₁	—	2	1	no	—
878	C₈×C₃₁	—	2	1	no	—
879	C₈×C₃₁	—	2	1	no	—
880	C₈×C₃₁	—	2	1	no	—
881	C₈×C₃₁	—	2	1	no	—
882	C₈×C₃₁	—	2	1	no	—
883	C₈×C₃₁	—	2	1	no	—
884	C₈×C₃₁	—	2	1	no	—
885	#3539	C₂×C₃₁	1	1	yes	characteristic, complemented
886	#3488	C₂×C₃₁	1	1	yes	characteristic, complemented
887	#3327	C₂×C₃₁	1	1	yes	characteristic, complemented
888	#3326	C₂×C₃₁	1	1	yes	characteristic, complemented
889	#3318	C₂×C₃₁	1	1	yes	characteristic, complemented
890	#3317	C₂×C₃₁	1	1	yes	characteristic, complemented
891	#3310	C₂×C₃₁	1	1	yes	characteristic, complemented
892	#3309	C₂×C₃₁	1	1	yes	characteristic, complemented
893	#3297	C₂×C₃₁	1	1	yes	characteristic, complemented
894	#3296	C₂×C₃₁	1	1	yes	characteristic, complemented
895	#3287	C₂×C₃₁	1	1	yes	characteristic, complemented
896	#3284	C₂×C₃₁	1	1	yes	characteristic, complemented
897	#3274	C₂×C₃₁	1	1	yes	characteristic, complemented
898	#3272	C₂×C₃₁	1	1	yes	characteristic, complemented
899	#3271	C₂×C₃₁	1	1	yes	characteristic, complemented
900	#3269	C₂×C₃₁	1	1	yes	characteristic, complemented
901	#3268	C₂×C₃₁	1	1	yes	characteristic, complemented
902	#3267	C₂×C₃₁	1	1	yes	characteristic, complemented
903	#3222	C₂×C₃₁	1	1	yes	characteristic, complemented
904	#3220	C₂×C₃₁	1	1	yes	characteristic, complemented
905	#3204	C₂×C₃₁	1	1	yes	characteristic, complemented
906	#3203	C₂×C₃₁	1	1	yes	characteristic, complemented
907	#3194	C₂×C₃₁	1	1	yes	characteristic, complemented
908	#3188	C₂×C₃₁	1	1	yes	characteristic, complemented
909	#3120	C₂×C₃₁	1	1	yes	characteristic, complemented
910	#3119	C₂×C₃₁	1	1	yes	characteristic, complemented
911	#3012	C₂×C₃₁	1	1	yes	characteristic, complemented
912	#3012	C₂×C₃₁	1	1	yes	characteristic, complemented
913	#3005	C₂×C₃₁	1	1	yes	characteristic, complemented
914	#3002	C₂×C₃₁	1	1	yes	characteristic, complemented
915	#2976	C₂×C₃₁	1	1	yes	characteristic, complemented
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	—	2	1	no	—
921	C₂²×C₃₁	—	2	1	no	—
922	C₂²×C₃₁	—	2	1	no	—
923	C₂²×C₃₁	—	2	1	no	—
924	C₂²×C₃₁	—	2	1	no	—
925	C₂²×C₃₁	—	2	1	no	—
926	C₂²×C₃₁	—	2	1	no	—
927	C₂²×C₃₁	—	2	1	no	—
928	C₂²×C₃₁	—	2	2	no	—
929	C₂²×C₃₁	—	2	1	no	—
930	C₂²×C₃₁	—	2	1	no	—
931	C₂²×C₃₁	—	2	1	no	—
932	C₂²×C₃₁	—	4	1	no	—
933	C₂²×C₃₁	—	4	1	no	—
934	C₂²×C₃₁	—	4	1	no	—
935	C₂²×C₃₁	—	4	1	no	—
936	C₂²×C₃₁	—	4	1	no	—
937	C₂²×C₃₁	—	4	1	no	—
938	C₂²×C₃₁	—	4	1	no	—
939	C₂²×C₃₁	—	4	1	no	—
940	C₂²×C₃₁	—	4	1	no	—
941	C₂²×C₃₁	—	4	1	no	—
942	C₂²×C₃₁	—	4	1	no	—
943	C₂²×C₃₁	—	4	1	no	—
944	C₂²×C₃₁	—	4	1	no	—
945	C₂²×C₃₁	—	4	1	no	—
946	C₂²×C₃₁	—	4	1	no	—
947	C₂²×C₃₁	—	4	1	no	—
948	C₂²×C₃₁	—	4	1	no	—
949	C₂²×C₃₁	—	8	2	no	—
950	C₂²×C₃₁	—	8	4	no	—
951	C₂²×C₃₁	—	16	2	no	—
952	C₂²×C₃₁	—	16	2	no	—
953	C₂²×C₃₁	—	16	2	no	—
954	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
955	C₄×C₃₁	—	2	1	no	—
956	C₄×C₃₁	—	2	1	no	—
957	C₄×C₃₁	—	2	1	no	—
958	C₄×C₃₁	—	2	1	no	—
959	C₄×C₃₁	—	2	1	no	—
960	C₄×C₃₁	—	2	2	no	—
961	C₄×C₃₁	—	2	1	no	—
962	C₄×C₃₁	—	2	1	no	—
963	C₄×C₃₁	—	2	1	no	—
964	C₄×C₃₁	—	2	1	no	—
965	C₄×C₃₁	—	4	1	no	—
966	C₄×C₃₁	—	4	1	no	—
967	C₄×C₃₁	—	4	1	no	—
968	C₄×C₃₁	—	4	1	no	—
969	C₄×C₃₁	—	4	1	no	—
970	C₄×C₃₁	—	4	1	no	—
971	C₄×C₃₁	—	4	1	no	—
972	C₄×C₃₁	—	4	1	no	—
973	C₄×C₃₁	—	4	1	no	—
974	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
975	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
976	C₂×H(5,𝔽₂)	C₂²×C₃₁	1	1	yes	characteristic
977	C₂²×#41	C₂²×C₃₁	1	1	yes	characteristic
978	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic, complemented
979	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
980	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
981	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
982	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic, complemented
983	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic, complemented
984	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic, complemented
985	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic, complemented
986	#560	—	2	1	no	—
987	#560	—	2	1	no	—
988	#553	—	2	1	no	—
989	#553	—	2	1	no	—
990	#553	C₂²×C₃₁	1	1	yes	characteristic, complemented
991	#553	C₂²×C₃₁	1	1	yes	characteristic, complemented
992	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
993	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	#550	C₂²×C₃₁	1	1	yes	characteristic
995	#550	C₂²×C₃₁	1	1	yes	characteristic
996	#550	C₂²×C₃₁	1	1	yes	characteristic, complemented
997	#550	C₂²×C₃₁	1	1	yes	characteristic, complemented
998	#548	C₂²×C₃₁	1	1	yes	characteristic
999	#548	C₂²×C₃₁	1	1	yes	characteristic
1000	#547	C₂²×C₃₁	1	1	yes	characteristic, complemented
1001	#547	C₂²×C₃₁	1	1	yes	characteristic, complemented
1002	#546	—	2	1	no	—
1003	#546	—	2	1	no	—
1004	#546	C₂²×C₃₁	1	1	yes	characteristic
1005	#546	C₂²×C₃₁	1	1	yes	characteristic
1006	D₄²	—	2	1	no	—
1007	D₄²	—	2	1	no	—
1008	D₄²	C₂²×C₃₁	1	1	yes	characteristic
1009	D₄²	C₂²×C₃₁	1	1	yes	characteristic
1010	#541	C₂²×C₃₁	1	1	yes	characteristic, complemented
1011	#540	—	2	1	no	—
1012	#540	—	2	1	no	—
1013	#540	C₂²×C₃₁	1	1	yes	characteristic, complemented
1014	#539	—	2	1	no	—
1015	#539	—	2	1	no	—
1016	#537	—	2	1	no	—
1017	#537	C₂²×C₃₁	1	1	yes	characteristic
1018	#537	C₂²×C₃₁	1	1	yes	characteristic, complemented
1019	#537	C₂²×C₃₁	1	1	yes	characteristic, complemented
1020	#535	—	2	1	no	—
1021	#535	C₂²×C₃₁	1	1	yes	characteristic
1022	#525	—	2	1	no	—
1023	#525	C₂²×C₃₁	1	1	yes	characteristic
1024	#525	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	#525	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	C₂×#121	—	2	1	no	—
1027	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic
1028	#520	C₂²×C₃₁	1	1	yes	characteristic
1029	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
1030	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
1031	#493	C₂²×C₃₁	1	1	yes	characteristic, complemented
1032	#492	C₂²×C₃₁	1	1	yes	characteristic, complemented
1033	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
1034	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
1035	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
1036	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
1037	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
1038	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
1039	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
1040	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
1041	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1042	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1043	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1044	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1045	#481	C₂²×C₃₁	1	1	yes	characteristic, complemented
1046	#481	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
1048	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
1049	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
1050	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
1051	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
1052	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
1053	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
1054	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
1055	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
1056	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
1057	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1058	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1059	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1060	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1061	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
1062	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1063	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1064	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1065	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1066	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1067	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1068	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1069	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1070	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1071	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1072	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1073	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
1074	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1075	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1076	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1077	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1078	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1079	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1080	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1081	#452	C₂²×C₃₁	1	1	yes	characteristic
1082	#452	C₂²×C₃₁	1	1	yes	characteristic
1083	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1084	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1085	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1086	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1087	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1088	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1089	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1090	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1091	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1092	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1093	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1094	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1095	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1096	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1097	#449	C₂²×C₃₁	1	1	yes	characteristic
1098	#449	C₂²×C₃₁	1	1	yes	characteristic
1099	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1100	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1101	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1102	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1103	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1104	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1105	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1106	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1107	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1108	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1109	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1110	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1111	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1112	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1113	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1114	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1115	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1116	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1117	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1118	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1119	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1120	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1121	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1122	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1123	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1124	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1125	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1126	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1127	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1128	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1129	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1130	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1131	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1132	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1133	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1134	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1135	#419	C₂²×C₃₁	1	1	yes	characteristic, complemented
1136	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1137	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1138	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1139	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1140	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1141	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1142	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1143	#408	C₂²×C₃₁	1	1	yes	characteristic, complemented
1144	#408	C₂²×C₃₁	1	1	yes	characteristic, complemented
1145	#407	C₂²×C₃₁	1	1	yes	characteristic, complemented
1146	C₂×C₂²⋊C₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1147	C₂×C₃₁	—	4	1	no	—
1148	C₂×C₃₁	—	4	1	no	—
1149	C₂×C₃₁	—	4	1	no	—
1150	C₂×C₃₁	—	4	1	no	—
1151	C₂×C₃₁	—	4	1	no	—
1152	C₂×C₃₁	—	4	2	no	—
1153	C₂×C₃₁	—	8	1	no	—
1154	C₂×C₃₁	—	8	1	no	—
1155	C₂×C₃₁	—	8	1	no	—
1156	C₂×C₃₁	—	8	1	no	—
1157	C₂×C₃₁	—	8	1	no	—
1158	C₂×C₃₁	#3484	1	1	yes	characteristic
1159	C₂×C₃₁	#3584	1	1	yes	characteristic
1160	C₂×C₃₁	#3585	1	1	yes	characteristic
1161	H(5,𝔽₂)	—	4	2	no	—
1162	H(5,𝔽₂)	—	4	2	no	—
1163	C₂×#41	—	2	1	no	—
1164	C₂×#41	—	2	1	no	—
1165	C₂×#41	—	2	1	no	—
1166	C₂×#41	—	4	2	no	—
1167	C₂×#41	—	4	2	no	—
1168	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1169	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1170	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1171	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1172	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1173	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1174	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1175	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1176	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1177	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1178	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1179	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1180	C₂²×D₄	—	2	1	no	—
1181	C₂²×D₄	—	2	1	no	—
1182	C₂²×D₄	—	2	1	no	—
1183	C₂²×D₄	—	2	1	no	—
1184	C₂²×D₄	—	2	1	no	—
1185	C₂²×D₄	—	2	1	no	—
1186	C₂²×D₄	—	2	1	no	—
1187	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1188	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1189	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1190	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1191	C₂³×C₄	—	2	1	no	—
1192	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1193	#137	—	4	2	no	—
1194	AGL(1,ℤ/8)	—	4	2	no	—
1195	AGL(1,ℤ/8)	—	4	2	no	—
1196	AGL(1,ℤ/8)	—	4	2	no	—
1197	#135	—	4	2	no	—
1198	#135	—	4	2	no	—
1199	#135	—	4	2	no	—
1200	#135	—	4	2	no	—
1201	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1202	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1203	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1204	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1205	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1206	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1207	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1208	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1209	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1210	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1211	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1212	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1213	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1214	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1215	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1216	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1217	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1218	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1219	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1220	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1221	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1222	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1223	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1224	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1225	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1226	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1227	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1228	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1229	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1230	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1231	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1232	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1233	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1234	#127	—	2	1	no	—
1235	#127	—	2	1	no	—
1236	#127	—	2	1	no	—
1237	#127	—	2	1	no	—
1238	#127	C₂³×C₃₁	1	1	yes	characteristic
1239	#127	C₂³×C₃₁	1	1	yes	characteristic
1240	#127	C₂³×C₃₁	1	1	yes	characteristic
1241	#126	—	2	1	no	—
1242	#126	—	2	1	no	—
1243	#126	—	2	1	no	—
1244	#126	—	2	1	no	—
1245	#126	—	2	1	no	—
1246	#126	—	2	1	no	—
1247	#125	—	2	1	no	—
1248	#125	—	2	1	no	—
1249	#125	—	2	1	no	—
1250	#125	—	2	1	no	—
1251	#125	C₂³×C₃₁	1	1	yes	characteristic
1252	#125	C₂³×C₃₁	1	1	yes	characteristic
1253	#124	—	2	1	no	—
1254	#124	—	2	1	no	—
1255	#124	C₂³×C₃₁	1	1	yes	characteristic
1256	#124	C₂³×C₃₁	1	1	yes	characteristic
1257	#123	—	2	1	no	—
1258	#123	—	2	1	no	—
1259	#123	—	2	1	no	—
1260	#123	—	2	1	no	—
1261	#123	—	2	1	no	—
1262	#123	—	2	1	no	—
1263	#123	—	2	1	no	—
1264	#123	—	2	1	no	—
1265	#123	—	2	1	no	—
1266	#123	—	2	1	no	—
1267	#123	—	2	1	no	—
1268	#123	—	2	1	no	—
1269	#123	—	2	1	no	—
1270	#123	—	2	1	no	—
1271	#123	D₄×C₃₁	1	1	yes	characteristic
1272	#123	D₄×C₃₁	1	1	yes	characteristic
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	—	2	1	no	—
1278	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1279	C₂²⋊Q₈	D₄×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	—	2	1	no	—
1307	#121	—	2	1	no	—
1308	#121	—	2	1	no	—
1309	#121	—	2	1	no	—
1310	#121	—	2	1	no	—
1311	#121	—	2	1	no	—
1312	#121	—	2	1	no	—
1313	#121	—	2	1	no	—
1314	#121	—	2	1	no	—
1315	#121	—	2	1	no	—
1316	#121	—	2	1	no	—
1317	#121	—	2	1	no	—
1318	#121	—	2	1	no	—
1319	#121	—	2	1	no	—
1320	#121	—	2	1	no	—
1321	#121	D₄×C₃₁	1	1	yes	characteristic
1322	#121	D₄×C₃₁	1	1	yes	characteristic
1323	#121	C₂³×C₃₁	1	1	yes	characteristic
1324	#121	C₂³×C₃₁	1	1	yes	characteristic
1325	#121	C₂³×C₃₁	1	1	yes	characteristic
1326	#121	C₂³×C₃₁	1	1	yes	characteristic
1327	#121	C₂³×C₃₁	1	1	yes	characteristic
1328	#121	C₂³×C₃₁	1	1	yes	characteristic
1329	#121	C₂³×C₃₁	1	1	yes	characteristic
1330	#121	C₂³×C₃₁	1	1	yes	characteristic
1331	#121	C₂³×C₃₁	1	1	yes	characteristic
1332	#121	C₂³×C₃₁	1	1	yes	characteristic
1333	#121	C₂³×C₃₁	1	1	yes	characteristic
1334	#121	C₂³×C₃₁	1	1	yes	characteristic
1335	#120	—	2	1	no	—
1336	#120	—	2	1	no	—
1337	#120	—	2	1	no	—
1338	#120	—	2	1	no	—
1339	#120	—	2	1	no	—
1340	#120	—	2	1	no	—
1341	#120	—	2	1	no	—
1342	#120	—	2	1	no	—
1343	#120	—	2	1	no	—
1344	#120	—	2	1	no	—
1345	#120	D₄×C₃₁	1	1	yes	characteristic
1346	#120	D₄×C₃₁	1	1	yes	characteristic
1347	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1348	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1349	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1350	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1351	C₄×D₄	—	2	1	no	—
1352	C₄×D₄	—	2	1	no	—
1353	C₄×D₄	—	2	1	no	—
1354	C₄×D₄	—	2	1	no	—
1355	C₄×D₄	—	2	1	no	—
1356	C₄×D₄	—	2	1	no	—
1357	C₄×D₄	—	2	1	no	—
1358	C₄×D₄	—	2	1	no	—
1359	C₄×D₄	—	2	1	no	—
1360	C₄×D₄	—	2	1	no	—
1361	C₄×D₄	—	2	1	no	—
1362	C₄×D₄	—	2	1	no	—
1363	C₄×D₄	—	2	1	no	—
1364	C₄×D₄	—	2	1	no	—
1365	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1366	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1367	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1368	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1369	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1370	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1371	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1372	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1373	#117	—	2	1	no	—
1374	#117	—	2	1	no	—
1375	#117	—	2	1	no	—
1376	#117	C₂³×C₃₁	1	1	yes	characteristic
1377	#117	C₂³×C₃₁	1	1	yes	characteristic
1378	#117	C₂³×C₃₁	1	1	yes	characteristic
1379	C₂×C₄⋊C₄	—	2	1	no	—
1380	C₂×C₄⋊C₄	—	2	1	no	—
1381	C₂×C₄⋊C₄	—	2	1	no	—
1382	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1383	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1384	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1385	C₂×C₂²⋊C₄	—	2	1	no	—
1386	C₂×C₂²⋊C₄	—	2	1	no	—
1387	C₂×C₂²⋊C₄	—	2	1	no	—
1388	#107	C₂³×C₃₁	1	1	yes	characteristic
1389	#107	C₂³×C₃₁	1	1	yes	characteristic
1390	#107	C₂³×C₃₁	1	1	yes	characteristic
1391	#107	C₂³×C₃₁	1	1	yes	characteristic
1392	#106	C₂³×C₃₁	1	1	yes	characteristic
1393	#106	C₂³×C₃₁	1	1	yes	characteristic
1394	#106	C₂³×C₃₁	1	1	yes	characteristic
1395	#106	C₂³×C₃₁	1	1	yes	characteristic
1396	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1397	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1398	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1399	C₄⋊C₈	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	#103	C₂³×C₃₁	1	1	yes	characteristic
1405	#103	C₂³×C₃₁	1	1	yes	characteristic
1406	#103	C₂³×C₃₁	1	1	yes	characteristic
1407	#103	C₂³×C₃₁	1	1	yes	characteristic
1408	#103	C₂³×C₃₁	1	1	yes	characteristic
1409	#103	C₂³×C₃₁	1	1	yes	characteristic
1410	#103	C₂³×C₃₁	1	1	yes	characteristic
1411	#103	C₂³×C₃₁	1	1	yes	characteristic
1412	#102	C₂³×C₃₁	1	1	yes	characteristic
1413	#102	C₂³×C₃₁	1	1	yes	characteristic
1414	#102	C₂³×C₃₁	1	1	yes	characteristic
1415	#102	C₂³×C₃₁	1	1	yes	characteristic
1416	#102	C₂³×C₃₁	1	1	yes	characteristic
1417	#102	C₂³×C₃₁	1	1	yes	characteristic
1418	#102	C₂³×C₃₁	1	1	yes	characteristic
1419	#102	C₂³×C₃₁	1	1	yes	characteristic
1420	#102	C₂³×C₃₁	1	1	yes	characteristic
1421	#102	C₂³×C₃₁	1	1	yes	characteristic
1422	#102	C₂³×C₃₁	1	1	yes	characteristic
1423	#102	C₂³×C₃₁	1	1	yes	characteristic
1424	#102	C₂³×C₃₁	1	1	yes	characteristic
1425	#102	C₂³×C₃₁	1	1	yes	characteristic
1426	#102	C₂³×C₃₁	1	1	yes	characteristic
1427	#102	C₂³×C₃₁	1	1	yes	characteristic
1428	#102	C₂³×C₃₁	1	1	yes	characteristic
1429	#102	C₂³×C₃₁	1	1	yes	characteristic
1430	#102	C₂³×C₃₁	1	1	yes	characteristic
1431	#102	C₂³×C₃₁	1	1	yes	characteristic
1432	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1433	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1434	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1435	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1436	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1437	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1438	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1439	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1440	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1441	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1442	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1443	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1444	#97	C₂³×C₃₁	1	1	yes	characteristic
1445	#97	C₂³×C₃₁	1	1	yes	characteristic
1446	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1447	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1448	C₃₁	#61628	1	1	yes	characteristic, direct product factor, Sylow
1449	C₂⁴	—	2	1	no	—
1450	C₂⁴	—	2	1	no	—
1451	C₂⁴	—	2	1	no	—
1452	C₂⁴	—	2	1	no	—
1453	C₂⁴	C₂×D₄×C₃₁	1	1	yes	characteristic
1454	#41	—	2	2	no	—
1455	#41	—	2	2	no	—
1456	#41	—	2	2	no	—
1457	#41	—	2	2	no	—
1458	#41	—	2	2	no	—
1459	#41	—	2	2	no	—
1460	#41	—	4	1	no	—
1461	#41	—	4	1	no	—
1462	#41	—	4	1	no	—
1463	#41	—	4	1	no	—
1464	#41	—	4	1	no	—
1465	#41	—	4	1	no	—
1466	#41	—	4	1	no	—
1467	#41	—	4	1	no	—
1468	#41	—	4	4	no	—
1469	#41	—	4	4	no	—
1470	#41	—	4	1	no	—
1471	#41	—	4	1	no	—
1472	#41	—	4	1	no	—
1473	#41	—	4	1	no	—
1474	#41	—	4	1	no	—
1475	#41	—	4	1	no	—
1476	#41	—	4	1	no	—
1477	#41	—	4	1	no	—
1478	#41	—	4	4	no	—
1479	C₂×Q₈	—	2	1	no	—
1480	C₂×Q₈	—	2	2	no	—
1481	C₂×Q₈	—	4	1	no	—
1482	C₂×Q₈	C₂×D₄×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×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1487	C₂×D₄	—	2	1	no	—
1488	C₂×D₄	—	2	2	no	—
1489	C₂×D₄	—	2	2	no	—
1490	C₂×D₄	—	2	2	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	—	2	1	no	—
1507	C₂×D₄	—	2	1	no	—
1508	C₂×D₄	—	2	1	no	—
1509	C₂×D₄	—	2	1	no	—
1510	C₂×D₄	—	2	1	no	—
1511	C₂×D₄	—	2	1	no	—
1512	C₂×D₄	—	2	1	no	—
1513	C₂×D₄	—	2	1	no	—
1514	C₂×D₄	—	2	1	no	—
1515	C₂×D₄	—	2	1	no	—
1516	C₂×D₄	—	2	1	no	—
1517	C₂×D₄	—	2	1	no	—
1518	C₂×D₄	—	2	1	no	—
1519	C₂×D₄	—	2	1	no	—
1520	C₂×D₄	—	2	1	no	—
1521	C₂×D₄	—	2	1	no	—
1522	C₂×D₄	—	4	1	no	—
1523	C₂×D₄	—	4	1	no	—
1524	C₂×D₄	—	4	1	no	—
1525	C₂×D₄	—	4	1	no	—
1526	C₂×D₄	—	4	1	no	—
1527	C₂×D₄	—	4	4	no	—
1528	C₂×D₄	—	4	4	no	—
1529	C₂×D₄	—	4	4	no	—
1530	C₂×D₄	—	4	4	no	—
1531	C₂×D₄	—	8	2	no	—
1532	C₂×D₄	—	8	2	no	—
1533	C₂×D₄	—	8	2	no	—
1534	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1535	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1536	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1537	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1538	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1539	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1540	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1541	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1542	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1543	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1544	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1545	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1546	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1547	C₂²×C₄	—	2	1	no	—
1548	C₂²×C₄	—	2	1	no	—
1549	C₂²×C₄	—	2	1	no	—
1550	C₂²×C₄	—	2	1	no	—
1551	C₂²×C₄	—	2	1	no	—
1552	C₂²×C₄	—	2	1	no	—
1553	C₂²×C₄	—	2	1	no	—
1554	C₂²×C₄	—	2	1	no	—
1555	C₂²×C₄	—	2	1	no	—
1556	C₂²×C₄	—	2	1	no	—
1557	C₂²×C₄	—	2	1	no	—
1558	C₂²×C₄	—	2	1	no	—
1559	C₂²×C₄	—	2	1	no	—
1560	C₂²×C₄	—	2	1	no	—
1561	C₂²×C₄	—	2	1	no	—
1562	C₂²×C₄	—	2	1	no	—
1563	C₂²×C₄	—	2	1	no	—
1564	C₂²×C₄	—	2	1	no	—
1565	C₂²×C₄	—	4	1	no	—
1566	C₂²×C₄	—	4	1	no	—
1567	C₂²×C₄	—	4	4	no	—
1568	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1569	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1570	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1571	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1572	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1573	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1574	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1575	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1576	Q₁₆	—	2	2	no	—
1577	Q₁₆	—	2	2	no	—
1578	Q₁₆	—	4	1	no	—
1579	Q₁₆	—	4	1	no	—
1580	SD₁₆	—	2	2	no	—
1581	SD₁₆	—	2	2	no	—
1582	SD₁₆	—	2	2	no	—
1583	SD₁₆	—	2	2	no	—
1584	SD₁₆	—	4	1	no	—
1585	SD₁₆	—	4	1	no	—
1586	SD₁₆	—	4	1	no	—
1587	SD₁₆	—	4	1	no	—
1588	SD₁₆	—	4	1	no	—
1589	SD₁₆	—	4	1	no	—
1590	SD₁₆	—	4	1	no	—
1591	SD₁₆	—	4	1	no	—
1592	D₈	—	2	2	no	—
1593	D₈	—	2	2	no	—
1594	D₈	—	4	1	no	—
1595	D₈	—	4	1	no	—
1596	D₈	—	4	1	no	—
1597	D₈	—	4	1	no	—
1598	D₈	—	4	1	no	—
1599	D₈	—	4	1	no	—
1600	M₁₆	—	4	1	no	—
1601	M₁₆	—	4	1	no	—
1602	M₁₆	—	4	1	no	—
1603	M₁₆	—	4	1	no	—
1604	C₂×C₈	—	4	1	no	—
1605	C₂×C₈	—	4	1	no	—
1606	C₂×C₈	—	4	1	no	—
1607	C₂×C₈	—	4	1	no	—
1608	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1609	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1610	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1611	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1612	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1613	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1614	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1615	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1616	C₄⋊C₄	—	2	1	no	—
1617	C₄⋊C₄	—	2	1	no	—
1618	C₄⋊C₄	—	2	1	no	—
1619	C₄⋊C₄	—	2	1	no	—
1620	C₄⋊C₄	—	2	1	no	—
1621	C₄⋊C₄	—	2	1	no	—
1622	C₄⋊C₄	—	2	1	no	—
1623	C₄⋊C₄	—	2	1	no	—
1624	C₄⋊C₄	—	2	1	no	—
1625	C₄⋊C₄	—	2	1	no	—
1626	C₄⋊C₄	—	2	1	no	—
1627	C₄⋊C₄	—	2	1	no	—
1628	C₄⋊C₄	—	2	1	no	—
1629	C₄⋊C₄	—	2	1	no	—
1630	C₄⋊C₄	—	2	1	no	—
1631	C₄⋊C₄	—	2	1	no	—
1632	C₄⋊C₄	—	2	1	no	—
1633	C₄⋊C₄	—	2	1	no	—
1634	C₄⋊C₄	—	2	1	no	—
1635	C₄⋊C₄	—	2	1	no	—
1636	C₄⋊C₄	—	2	1	no	—
1637	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1638	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1639	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1640	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1641	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1642	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1643	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1644	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1645	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1646	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1647	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1648	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
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	—	2	1	no	—
1660	C₂²⋊C₄	—	2	1	no	—
1661	C₂²⋊C₄	—	2	1	no	—
1662	C₂²⋊C₄	—	2	1	no	—
1663	C₂²⋊C₄	—	2	1	no	—
1664	C₂²⋊C₄	—	2	1	no	—
1665	C₂²⋊C₄	—	2	1	no	—
1666	C₂²⋊C₄	—	2	1	no	—
1667	C₂²⋊C₄	—	2	1	no	—
1668	C₂²⋊C₄	—	2	1	no	—
1669	C₂²⋊C₄	—	2	1	no	—
1670	C₂²⋊C₄	—	2	1	no	—
1671	C₂²⋊C₄	—	2	1	no	—
1672	C₂²⋊C₄	—	2	1	no	—
1673	C₂²⋊C₄	—	2	1	no	—
1674	C₂²⋊C₄	—	2	1	no	—
1675	C₂²⋊C₄	—	2	1	no	—
1676	C₂²⋊C₄	—	2	1	no	—
1677	C₂²⋊C₄	—	2	1	no	—
1678	C₂²⋊C₄	—	2	1	no	—
1679	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1680	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1681	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1682	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1683	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1684	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1685	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1686	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1687	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1688	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1689	C₄²	—	2	1	no	—
1690	C₄²	—	2	1	no	—
1691	C₄²	—	2	1	no	—
1692	C₄²	—	2	1	no	—
1693	C₄²	—	2	1	no	—
1694	C₄²	—	2	1	no	—
1695	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1696	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1697	C₂³	—	2	1	no	—
1698	C₂³	—	2	1	no	—
1699	C₂³	—	2	1	no	—
1700	C₂³	—	2	1	no	—
1701	C₂³	—	2	1	no	—
1702	C₂³	—	2	1	no	—
1703	C₂³	—	4	1	no	—
1704	C₂³	—	4	1	no	—
1705	C₂³	—	4	1	no	—
1706	C₂³	—	4	2	no	—
1707	C₂³	—	4	2	no	—
1708	C₂³	—	4	2	no	—
1709	C₂³	—	4	2	no	—
1710	C₂³	—	4	2	no	—
1711	C₂³	—	8	1	no	—
1712	C₂³	—	8	1	no	—
1713	C₂³	—	8	1	no	—
1714	C₂³	—	8	1	no	—
1715	C₂³	—	8	1	no	—
1716	C₂³	—	8	1	no	—
1717	C₂³	—	8	1	no	—
1718	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1719	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1720	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1721	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1722	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1723	Q₈	—	2	1	no	—
1724	Q₈	—	2	1	no	—
1725	Q₈	—	2	1	no	—
1726	Q₈	—	2	1	no	—
1727	Q₈	—	2	1	no	—
1728	Q₈	—	2	1	no	—
1729	Q₈	—	2	1	no	—
1730	Q₈	—	4	1	no	—
1731	Q₈	—	4	2	no	—
1732	Q₈	C₃₁×H(5,𝔽₂)	1	2	yes	—
1733	D₄	—	2	4	no	—
1734	D₄	—	2	1	no	—
1735	D₄	—	2	1	no	—
1736	D₄	—	2	1	no	—
1737	D₄	—	2	1	no	—
1738	D₄	—	2	1	no	—
1739	D₄	—	2	1	no	—
1740	D₄	—	2	1	no	—
1741	D₄	—	2	1	no	—
1742	D₄	—	2	1	no	—
1743	D₄	—	2	1	no	—
1744	D₄	—	2	1	no	—
1745	D₄	—	4	1	no	—
1746	D₄	—	4	1	no	—
1747	D₄	—	4	1	no	—
1748	D₄	—	4	1	no	—
1749	D₄	—	4	1	no	—
1750	D₄	—	4	1	no	—
1751	D₄	—	4	1	no	—
1752	D₄	—	4	2	no	—
1753	D₄	—	4	2	no	—
1754	D₄	—	4	2	no	—
1755	D₄	—	4	2	no	—
1756	D₄	—	4	2	no	—
1757	D₄	—	4	2	no	—
1758	D₄	—	4	2	no	—
1759	D₄	—	4	2	no	—
1760	D₄	—	4	2	no	—
1761	D₄	—	4	2	no	—
1762	D₄	—	4	2	no	—
1763	D₄	—	8	1	no	—
1764	D₄	—	8	1	no	—
1765	D₄	—	8	1	no	—
1766	D₄	—	8	1	no	—
1767	D₄	—	8	1	no	—
1768	D₄	—	8	1	no	—
1769	D₄	—	8	1	no	—
1770	D₄	—	8	1	no	—
1771	D₄	—	8	1	no	—
1772	D₄	—	8	1	no	—
1773	D₄	—	8	1	no	—
1774	D₄	—	8	1	no	—
1775	D₄	—	8	1	no	—
1776	D₄	—	8	1	no	—
1777	D₄	—	8	1	no	—
1778	D₄	—	8	1	no	—
1779	D₄	—	8	1	no	—
1780	D₄	—	8	1	no	—
1781	D₄	—	8	1	no	—
1782	D₄	—	8	1	no	—
1783	D₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
1784	C₂×C₄	—	2	4	no	—
1785	C₂×C₄	—	2	1	no	—
1786	C₂×C₄	—	2	1	no	—
1787	C₂×C₄	—	2	1	no	—
1788	C₂×C₄	—	2	1	no	—
1789	C₂×C₄	—	2	1	no	—
1790	C₂×C₄	—	2	1	no	—
1791	C₂×C₄	—	2	1	no	—
1792	C₂×C₄	—	2	1	no	—
1793	C₂×C₄	—	2	1	no	—
1794	C₂×C₄	—	2	1	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	2	1	no	—
1805	C₂×C₄	—	4	1	no	—
1806	C₂×C₄	—	4	1	no	—
1807	C₂×C₄	—	4	1	no	—
1808	C₂×C₄	—	4	2	no	—
1809	C₂×C₄	—	4	2	no	—
1810	C₂×C₄	—	4	2	no	—
1811	C₂×C₄	—	4	2	no	—
1812	C₂×C₄	—	4	2	no	—
1813	C₂×C₄	—	4	2	no	—
1814	C₂×C₄	—	8	1	no	—
1815	C₂×C₄	—	8	1	no	—
1816	C₂×C₄	—	8	1	no	—
1817	C₂×C₄	—	8	1	no	—
1818	C₂×C₄	—	8	1	no	—
1819	C₂×C₄	—	8	1	no	—
1820	C₂×C₄	—	8	1	no	—
1821	C₂×C₄	—	8	1	no	—
1822	C₂×C₄	—	8	1	no	—
1823	C₂×C₄	—	8	1	no	—
1824	C₂×C₄	—	8	1	no	—
1825	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1826	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1827	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1828	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1829	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1830	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1831	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1832	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1833	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1834	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1835	C₈	—	2	1	no	—
1836	C₈	—	2	1	no	—
1837	C₈	—	2	1	no	—
1838	C₈	—	2	1	no	—
1839	C₈	—	2	1	no	—
1840	C₈	—	2	1	no	—
1841	C₈	—	2	1	no	—
1842	C₈	—	2	1	no	—
1843	C₂²	—	2	1	no	—
1844	C₂²	—	2	1	no	—
1845	C₂²	—	2	2	no	—
1846	C₂²	—	2	1	no	—
1847	C₂²	—	2	1	no	—
1848	C₂²	—	2	1	no	—
1849	C₂²	—	2	1	no	—
1850	C₂²	—	2	1	no	—
1851	C₂²	—	2	1	no	—
1852	C₂²	—	2	1	no	—
1853	C₂²	—	2	1	no	—
1854	C₂²	—	2	1	no	—
1855	C₂²	—	2	1	no	—
1856	C₂²	—	2	1	no	—
1857	C₂²	—	2	1	no	—
1858	C₂²	—	2	1	no	—
1859	C₂²	—	4	1	no	—
1860	C₂²	—	4	1	no	—
1861	C₂²	—	4	1	no	—
1862	C₂²	—	4	1	no	—
1863	C₂²	—	4	1	no	—
1864	C₂²	—	4	1	no	—
1865	C₂²	—	4	1	no	—
1866	C₂²	—	4	1	no	—
1867	C₂²	—	4	1	no	—
1868	C₂²	—	4	1	no	—
1869	C₂²	—	4	1	no	—
1870	C₂²	—	4	1	no	—
1871	C₂²	—	4	1	no	—
1872	C₂²	—	4	1	no	—
1873	C₂²	—	4	1	no	—
1874	C₂²	—	4	1	no	—
1875	C₂²	—	4	1	no	—
1876	C₂²	—	8	2	no	—
1877	C₂²	—	8	4	no	—
1878	C₂²	—	16	2	no	—
1879	C₂²	—	16	2	no	—
1880	C₂²	—	16	2	no	—
1881	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1882	C₄	—	2	1	no	—
1883	C₄	—	2	2	no	—
1884	C₄	—	2	1	no	—
1885	C₄	—	2	1	no	—
1886	C₄	—	2	1	no	—
1887	C₄	—	2	1	no	—
1888	C₄	—	2	1	no	—
1889	C₄	—	2	1	no	—
1890	C₄	—	2	1	no	—
1891	C₄	—	2	1	no	—
1892	C₄	—	4	1	no	—
1893	C₄	—	4	1	no	—
1894	C₄	—	4	1	no	—
1895	C₄	—	4	1	no	—
1896	C₄	—	4	1	no	—
1897	C₄	—	4	1	no	—
1898	C₄	—	4	1	no	—
1899	C₄	—	4	1	no	—
1900	C₄	—	4	1	no	—
1901	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1902	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1903	C₂	—	4	1	no	—
1904	C₂	—	4	1	no	—
1905	C₂	—	4	1	no	—
1906	C₂	—	4	1	no	—
1907	C₂	—	4	1	no	—
1908	C₂	—	4	2	no	—
1909	C₂	—	8	1	no	—
1910	C₂	—	8	1	no	—
1911	C₂	—	8	1	no	—
1912	C₂	—	8	1	no	—
1913	C₂	—	8	1	no	—
1914	C₂	C₃₁×#3484	1	1	yes	characteristic
1915	C₂	C₃₁×#3584	1	1	yes	characteristic
1916	C₂	C₃₁×#3585	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3539	C₂	semidirect
2. C₃₁×#3488	C₂	semidirect
3. C₃₁×#3327	C₂	semidirect
4. C₃₁×#3326	C₂	semidirect
5. C₃₁×#3318	C₂	semidirect
6. C₃₁×#3317	C₂	semidirect
7. C₃₁×#3310	C₂	semidirect
8. C₃₁×#3309	C₂	semidirect
9. C₃₁×#3297	C₂	semidirect
10. C₃₁×#3296	C₂	semidirect
11. C₃₁×#3287	C₂	semidirect
12. C₃₁×#3284	C₂	semidirect
13. C₃₁×#3274	C₂	semidirect
14. C₃₁×#3272	C₂	semidirect
15. C₃₁×#3271	C₂	semidirect
16. C₃₁×#3269	C₂	semidirect
17. C₃₁×#3268	C₂	semidirect
18. C₃₁×#3267	C₂	semidirect
19. C₃₁×#3222	C₂	semidirect
20. C₃₁×#3220	C₂	semidirect
21. C₃₁×#3204	C₂	semidirect
22. C₃₁×#3203	C₂	semidirect
23. C₃₁×#3194	C₂	semidirect
24. C₃₁×#3188	C₂	semidirect
25. C₃₁×#3120	C₂	semidirect
26. C₃₁×#3119	C₂	semidirect
27. C₃₁×#3012	C₂	semidirect
28. C₃₁×#3012	C₂	semidirect
29. C₃₁×#3005	C₂	semidirect
30. C₃₁×#3002	C₂	semidirect
31. C₃₁×#2976	C₂	semidirect
34. C₂×C₃₁×#137	C₂²	semidirect
35. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
36. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
37. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
38. C₂×C₃₁×#135	C₂²	semidirect
39. C₂×C₃₁×#135	C₂²	semidirect
40. C₂×C₃₁×#135	C₂²	semidirect
41. C₂×C₃₁×#135	C₂²	semidirect
46. C₃₁×#553	C₂²	semidirect
47. C₃₁×#553	C₂²	semidirect
48. C₃₁×#552	C₂²	semidirect
49. C₃₁×#552	C₂²	semidirect
52. C₃₁×#550	C₂²	semidirect
53. C₃₁×#550	C₂²	semidirect
56. C₃₁×#547	C₂²	semidirect
57. C₃₁×#547	C₂²	semidirect
66. C₃₁×#541	C₂²	semidirect
69. C₃₁×#540	C₂²	semidirect
74. C₃₁×#537	C₂²	semidirect
75. C₃₁×#537	C₂²	semidirect
80. C₃₁×#525	C₂²	semidirect
81. C₃₁×#525	C₂²	semidirect
85. C₃₁×#497	C₂²	semidirect
86. C₃₁×#496	C₂²	semidirect
87. C₃₁×#493	C₂²	semidirect
88. C₃₁×#492	C₂²	semidirect
89. C₃₁×#490	C₂²	semidirect
90. C₃₁×#490	C₂²	semidirect
91. C₃₁×#488	C₂²	semidirect
92. C₃₁×#488	C₂²	semidirect
93. C₃₁×#484	C₂²	semidirect
94. C₃₁×#484	C₂²	semidirect
95. C₃₁×#483	C₂²	semidirect
96. C₃₁×#483	C₂²	semidirect
97. C₃₁×#482	C₂²	semidirect
98. C₃₁×#482	C₂²	semidirect
99. C₃₁×#482	C₂²	semidirect
100. C₃₁×#482	C₂²	semidirect
101. C₃₁×#481	C₂²	semidirect
102. C₃₁×#481	C₂²	semidirect
103. C₃₁×#480	C₂²	semidirect
104. C₃₁×#480	C₂²	semidirect
105. C₃₁×#479	C₂²	semidirect
106. C₃₁×#479	C₂²	semidirect
107. C₃₁×#478	C₂²	semidirect
108. C₃₁×#478	C₂²	semidirect
109. C₃₁×#470	C₂²	semidirect
110. C₃₁×#469	C₂²	semidirect
111. C₃₁×#469	C₂²	semidirect
112. 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×#466	C₂²	semidirect
119. C₃₁×#466	C₂²	semidirect
120. C₃₁×#466	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×#463	C₂²	semidirect
128. C₃₁×#463	C₂²	semidirect
129. C₃₁×#462	C₂²	semidirect
130. C₃₁×#461	C₂²	semidirect
131. C₃₁×#460	C₂²	semidirect
132. C₃₁×#460	C₂²	semidirect
133. C₃₁×#460	C₂²	semidirect
134. C₃₁×#459	C₂²	semidirect
135. C₃₁×#459	C₂²	semidirect
136. C₃₁×#459	C₂²	semidirect
139. C₃₁×#452	C₂²	semidirect
140. C₃₁×#452	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
146. C₃₁×#452	C₂²	semidirect
147. C₃₁×#451	C₂²	semidirect
148. C₃₁×#450	C₂²	semidirect
149. C₃₁×#450	C₂²	semidirect
150. C₃₁×#450	C₂²	semidirect
151. C₃₁×#450	C₂²	semidirect
152. C₃₁×#450	C₂²	semidirect
155. C₃₁×#449	C₂²	semidirect
156. C₃₁×#449	C₂²	semidirect
157. C₃₁×#449	C₂²	semidirect
158. C₃₁×#449	C₂²	semidirect
159. C₃₁×#449	C₂²	semidirect
160. C₃₁×#449	C₂²	semidirect
161. C₃₁×#449	C₂²	semidirect
162. C₃₁×#449	C₂²	semidirect
163. C₃₁×#449	C₂²	semidirect
164. C₃₁×#449	C₂²	semidirect
165. C₃₁×#449	C₂²	semidirect
166. C₃₁×#449	C₂²	semidirect
167. C₃₁×#448	C₂²	semidirect
168. C₃₁×#447	C₂²	semidirect
169. C₃₁×#447	C₂²	semidirect
170. C₃₁×#447	C₂²	semidirect
171. C₃₁×#447	C₂²	semidirect
172. C₃₁×#447	C₂²	semidirect
173. C₃₁×#442	C₂²	semidirect
174. C₃₁×#441	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×D₈×C₃₁	C₂²	semidirect
181. C₃₁×#436	C₂²	semidirect
182. C₃₁×#436	C₂²	semidirect
183. C₃₁×#435	C₂²	semidirect
184. C₃₁×#435	C₂²	semidirect
185. C₃₁×#435	C₂²	semidirect
186. C₃₁×#435	C₂²	semidirect
187. C₈×D₄×C₃₁	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×#418	C₂²	semidirect
193. C₃₁×#417	C₂²	semidirect
194. C₃₁×#417	C₂²	semidirect
195. C₃₁×#416	C₂²	semidirect
196. C₃₁×#416	C₂²	semidirect
197. C₂×C₃₁×#102	C₂²	semidirect
198. C₂×C₃₁×#102	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. #61628	C₃₁	direct (N × H)
885. #3539	C₂×C₃₁	semidirect
886. #3488	C₂×C₃₁	semidirect
887. #3327	C₂×C₃₁	semidirect
888. #3326	C₂×C₃₁	semidirect
889. #3318	C₂×C₃₁	semidirect
890. #3317	C₂×C₃₁	semidirect
891. #3310	C₂×C₃₁	semidirect
892. #3309	C₂×C₃₁	semidirect
893. #3297	C₂×C₃₁	semidirect
894. #3296	C₂×C₃₁	semidirect
895. #3287	C₂×C₃₁	semidirect
896. #3284	C₂×C₃₁	semidirect
897. #3274	C₂×C₃₁	semidirect
898. #3272	C₂×C₃₁	semidirect
899. #3271	C₂×C₃₁	semidirect
900. #3269	C₂×C₃₁	semidirect
901. #3268	C₂×C₃₁	semidirect
902. #3267	C₂×C₃₁	semidirect
903. #3222	C₂×C₃₁	semidirect
904. #3220	C₂×C₃₁	semidirect
905. #3204	C₂×C₃₁	semidirect
906. #3203	C₂×C₃₁	semidirect
907. #3194	C₂×C₃₁	semidirect
908. #3188	C₂×C₃₁	semidirect
909. #3120	C₂×C₃₁	semidirect
910. #3119	C₂×C₃₁	semidirect
911. #3012	C₂×C₃₁	semidirect
912. #3012	C₂×C₃₁	semidirect
913. #3005	C₂×C₃₁	semidirect
914. #3002	C₂×C₃₁	semidirect
915. #2976	C₂×C₃₁	semidirect
978. C₂×#137	C₂²×C₃₁	semidirect
979. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
980. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
981. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
982. C₂×#135	C₂²×C₃₁	semidirect
983. C₂×#135	C₂²×C₃₁	semidirect
984. C₂×#135	C₂²×C₃₁	semidirect
985. C₂×#135	C₂²×C₃₁	semidirect
990. #553	C₂²×C₃₁	semidirect
991. #553	C₂²×C₃₁	semidirect
992. #552	C₂²×C₃₁	semidirect
993. #552	C₂²×C₃₁	semidirect
996. #550	C₂²×C₃₁	semidirect
997. #550	C₂²×C₃₁	semidirect
1000. #547	C₂²×C₃₁	semidirect
1001. #547	C₂²×C₃₁	semidirect
1010. #541	C₂²×C₃₁	semidirect
1013. #540	C₂²×C₃₁	semidirect
1018. #537	C₂²×C₃₁	semidirect
1019. #537	C₂²×C₃₁	semidirect
1024. #525	C₂²×C₃₁	semidirect
1025. #525	C₂²×C₃₁	semidirect
1029. #497	C₂²×C₃₁	semidirect
1030. #496	C₂²×C₃₁	semidirect
1031. #493	C₂²×C₃₁	semidirect
1032. #492	C₂²×C₃₁	semidirect
1033. #490	C₂²×C₃₁	semidirect
1034. #490	C₂²×C₃₁	semidirect
1035. #488	C₂²×C₃₁	semidirect
1036. #488	C₂²×C₃₁	semidirect
1037. #484	C₂²×C₃₁	semidirect
1038. #484	C₂²×C₃₁	semidirect
1039. #483	C₂²×C₃₁	semidirect
1040. #483	C₂²×C₃₁	semidirect
1041. #482	C₂²×C₃₁	semidirect
1042. #482	C₂²×C₃₁	semidirect
1043. #482	C₂²×C₃₁	semidirect
1044. #482	C₂²×C₃₁	semidirect
1045. #481	C₂²×C₃₁	semidirect
1046. #481	C₂²×C₃₁	semidirect
1047. #480	C₂²×C₃₁	semidirect
1048. #480	C₂²×C₃₁	semidirect
1049. #479	C₂²×C₃₁	semidirect
1050. #479	C₂²×C₃₁	semidirect
1051. #478	C₂²×C₃₁	semidirect
1052. #478	C₂²×C₃₁	semidirect
1053. #470	C₂²×C₃₁	semidirect
1054. #469	C₂²×C₃₁	semidirect
1055. #469	C₂²×C₃₁	semidirect
1056. #469	C₂²×C₃₁	semidirect
1057. #468	C₂²×C₃₁	semidirect
1058. #468	C₂²×C₃₁	semidirect
1059. #468	C₂²×C₃₁	semidirect
1060. #468	C₂²×C₃₁	semidirect
1061. #467	C₂²×C₃₁	semidirect
1062. #466	C₂²×C₃₁	semidirect
1063. #466	C₂²×C₃₁	semidirect
1064. #466	C₂²×C₃₁	semidirect
1065. #465	C₂²×C₃₁	semidirect
1066. #465	C₂²×C₃₁	semidirect
1067. #465	C₂²×C₃₁	semidirect
1068. #465	C₂²×C₃₁	semidirect
1069. #464	C₂²×C₃₁	semidirect
1070. #464	C₂²×C₃₁	semidirect
1071. #463	C₂²×C₃₁	semidirect
1072. #463	C₂²×C₃₁	semidirect
1073. #462	C₂²×C₃₁	semidirect
1074. #461	C₂²×C₃₁	semidirect
1075. #460	C₂²×C₃₁	semidirect
1076. #460	C₂²×C₃₁	semidirect
1077. #460	C₂²×C₃₁	semidirect
1078. #459	C₂²×C₃₁	semidirect
1079. #459	C₂²×C₃₁	semidirect
1080. #459	C₂²×C₃₁	semidirect
1083. #452	C₂²×C₃₁	semidirect
1084. #452	C₂²×C₃₁	semidirect
1085. #452	C₂²×C₃₁	semidirect
1086. #452	C₂²×C₃₁	semidirect
1087. #452	C₂²×C₃₁	semidirect
1088. #452	C₂²×C₃₁	semidirect
1089. #452	C₂²×C₃₁	semidirect
1090. #452	C₂²×C₃₁	semidirect
1091. #451	C₂²×C₃₁	semidirect
1092. #450	C₂²×C₃₁	semidirect
1093. #450	C₂²×C₃₁	semidirect
1094. #450	C₂²×C₃₁	semidirect
1095. #450	C₂²×C₃₁	semidirect
1096. #450	C₂²×C₃₁	semidirect
1099. #449	C₂²×C₃₁	semidirect
1100. #449	C₂²×C₃₁	semidirect
1101. #449	C₂²×C₃₁	semidirect
1102. #449	C₂²×C₃₁	semidirect
1103. #449	C₂²×C₃₁	semidirect
1104. #449	C₂²×C₃₁	semidirect
1105. #449	C₂²×C₃₁	semidirect
1106. #449	C₂²×C₃₁	semidirect
1107. #449	C₂²×C₃₁	semidirect
1108. #449	C₂²×C₃₁	semidirect
1109. #449	C₂²×C₃₁	semidirect
1110. #449	C₂²×C₃₁	semidirect
1111. #448	C₂²×C₃₁	semidirect
1112. #447	C₂²×C₃₁	semidirect
1113. #447	C₂²×C₃₁	semidirect
1114. #447	C₂²×C₃₁	semidirect
1115. #447	C₂²×C₃₁	semidirect
1116. #447	C₂²×C₃₁	semidirect
1117. #442	C₂²×C₃₁	semidirect
1118. #441	C₂²×C₃₁	semidirect
1119. #440	C₂²×C₃₁	semidirect
1120. #440	C₂²×C₃₁	semidirect
1121. C₄×Q₁₆	C₂²×C₃₁	semidirect
1122. C₄×SD₁₆	C₂²×C₃₁	semidirect
1123. C₄×SD₁₆	C₂²×C₃₁	semidirect
1124. C₄×D₈	C₂²×C₃₁	semidirect
1125. #436	C₂²×C₃₁	semidirect
1126. #436	C₂²×C₃₁	semidirect
1127. #435	C₂²×C₃₁	semidirect
1128. #435	C₂²×C₃₁	semidirect
1129. #435	C₂²×C₃₁	semidirect
1130. #435	C₂²×C₃₁	semidirect
1131. C₈×D₄	C₂²×C₃₁	semidirect
1132. C₈×D₄	C₂²×C₃₁	semidirect
1133. #433	C₂²×C₃₁	semidirect
1134. #433	C₂²×C₃₁	semidirect
1135. #419	C₂²×C₃₁	semidirect
1136. #418	C₂²×C₃₁	semidirect
1137. #417	C₂²×C₃₁	semidirect
1138. #417	C₂²×C₃₁	semidirect
1139. #416	C₂²×C₃₁	semidirect
1140. #416	C₂²×C₃₁	semidirect
1141. C₂×#102	C₂²×C₃₁	semidirect
1142. C₂×#102	C₂²×C₃₁	semidirect
1143. #408	C₂²×C₃₁	semidirect
1144. #408	C₂²×C₃₁	semidirect
1145. #407	C₂²×C₃₁	semidirect
1146. C₂×C₂²⋊C₈	C₂²×C₃₁	semidirect
1448. C₃₁	#61628	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×#3539	2
C₃₁×#3488	2
C₃₁×#3327	2
C₃₁×#3326	2
C₃₁×#3318	2
C₃₁×#3317	2
C₃₁×#3310	2
C₃₁×#3309	2
C₃₁×#3297	2
C₃₁×#3296	2
C₃₁×#3287	2
C₃₁×#3284	2
C₃₁×#3274	2
C₃₁×#3272	2
C₃₁×#3271	2
C₃₁×#3269	2
C₃₁×#3268	2
C₃₁×#3267	2
C₃₁×#3222	2
C₃₁×#3220	2
C₃₁×#3204	2
C₃₁×#3203	2
C₃₁×#3194	2
C₃₁×#3188	2
C₃₁×#3120	2
C₃₁×#3119	2
C₃₁×#3012	2
C₃₁×#3005	2
C₃₁×#3002	2
C₃₁×#2976	2
#61628	31

Subgroups — C31×#61628 #21518387

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61628 #21518387