Subgroups — C₃₁×#61639 #21518398

Order 7936.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 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×#3488	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3319	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3310	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3309	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3308	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3305	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3300	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3297	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3294	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3287	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3282	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3280	C₂	1	1	yes	maximal, characteristic, complemented
14	D₄×D₈×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3268	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3268	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3265	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3224	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3220	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3203	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3198	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3188	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3186	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3124	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×#3008	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#3002	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₃₁×#449	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃₁×#2977	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₃₁×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#41×C₃₁	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃₁×#135	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, complemented
40	C₂²×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
41	C₂²×D₈×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, complemented
45	C₃₁×#553	C₂²	1	1	yes	characteristic, complemented
46	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
47	C₃₁×#551	—	2	1	no	—
48	C₃₁×#550	C₂²	1	1	yes	characteristic, complemented
49	C₃₁×#550	C₂²	1	1	yes	characteristic, complemented
50	C₃₁×#550	C₂²	1	1	yes	characteristic, complemented
51	C₃₁×#548	C₂²	1	1	yes	characteristic
52	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
53	C₃₁×#547	C₂²	1	1	yes	characteristic, complemented
54	C₃₁×#546	—	2	1	no	—
55	C₃₁×#546	—	2	1	no	—
56	C₃₁×#546	—	2	1	no	—
57	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
58	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
59	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
60	C₃₁×#546	C₂²	1	1	yes	characteristic, complemented
61	D₄²×C₃₁	—	2	1	no	—
62	D₄²×C₃₁	—	2	1	no	—
63	D₄²×C₃₁	C₂²	1	1	yes	characteristic
64	D₄²×C₃₁	C₂²	1	1	yes	characteristic, complemented
65	D₄²×C₃₁	C₂²	1	1	yes	characteristic, complemented
66	C₃₁×#542	C₂²	1	1	yes	characteristic, complemented
67	C₃₁×#540	—	2	1	no	—
68	C₃₁×#540	C₂²	1	1	yes	characteristic, complemented
69	C₃₁×#538	—	2	1	no	—
70	C₃₁×#537	—	2	1	no	—
71	C₃₁×#537	C₂²	1	1	yes	characteristic, complemented
72	C₃₁×#537	C₂²	1	1	yes	characteristic, complemented
73	C₃₁×#535	—	2	1	no	—
74	C₃₁×#535	—	2	1	no	—
75	C₃₁×#535	C₂²	1	1	yes	characteristic, complemented
76	C₃₁×#535	C₂²	1	1	yes	characteristic, complemented
77	C₃₁×#534	—	2	1	no	—
78	C₃₁×#525	—	2	1	no	—
79	C₃₁×#525	C₂²	1	1	yes	characteristic
80	C₃₁×#525	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₃₁×#121	—	2	1	no	—
82	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic, complemented
84	C₃₁×#520	C₂²	1	1	yes	characteristic, complemented
85	C₃₁×#496	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×#493	C₂²	1	1	yes	characteristic, complemented
89	C₃₁×#490	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×#486	C₂²	1	1	yes	characteristic, complemented
93	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
94	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
95	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
96	C₃₁×#482	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×#481	C₂²	1	1	yes	characteristic, complemented
100	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
101	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
102	C₃₁×#480	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×#478	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#477	C₂²	1	1	yes	characteristic, complemented
108	C₃₁×#474	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
110	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
111	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#468	C₂²	1	1	yes	characteristic, complemented
113	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
114	C₃₁×#466	C₂²	1	1	yes	characteristic, complemented
115	C₃₁×#466	C₂²	1	1	yes	characteristic, complemented
116	C₃₁×#466	C₂²	1	1	yes	characteristic, complemented
117	C₃₁×#466	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×#466	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×#463	C₂²	1	1	yes	characteristic, complemented
130	C₃₁×#463	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×#459	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, 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×#451	C₂²	1	1	yes	characteristic, complemented
142	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
143	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
144	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
145	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
146	C₃₁×#449	C₂²	1	1	yes	characteristic
147	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
148	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
149	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
150	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
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×#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×#448	C₂²	1	1	yes	characteristic, complemented
163	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
164	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
165	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
166	C₃₁×#447	C₂²	1	1	yes	characteristic, complemented
167	C₃₁×#447	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×#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×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
180	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
181	C₃₁×#435	C₂²	1	1	yes	characteristic, complemented
182	C₃₁×#435	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	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
186	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
187	C₈×D₄×C₃₁	C₂²	1	1	yes	characteristic, complemented
188	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×#418	C₂²	1	1	yes	characteristic, complemented
192	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
193	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
194	C₃₁×#416	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×#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	C₂×C₃₁×C₂²⋊C₈	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	—	2	1	no	—
209	C₂×#41×C₃₁	—	4	2	no	—
210	C₂×#41×C₃₁	—	4	2	no	—
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	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
221	C₂²×D₄×C₃₁	—	2	1	no	—
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	—	2	1	no	—
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	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
234	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
235	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
236	C₂³×C₄×C₃₁	—	2	1	no	—
237	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
238	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
239	C₃₁×AGL(1,ℤ/8)	—	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×SD₁₆×C₃₁	—	4	2	no	—
246	C₂×SD₁₆×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×D₈×C₃₁	—	4	2	no	—
257	C₂×D₈×C₃₁	—	4	2	no	—
258	C₂×D₈×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×D₈×C₃₁	C₂³	1	1	yes	characteristic
268	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
269	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
270	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
271	C₂×M₁₆×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	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
276	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
277	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
278	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
279	C₃₁×#127	—	2	1	no	—
280	C₃₁×#127	—	2	1	no	—
281	C₃₁×#127	—	2	1	no	—
282	C₃₁×#127	—	2	1	no	—
283	C₃₁×#127	C₂³	1	1	yes	characteristic
284	C₃₁×#127	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
298	C₃₁×#124	C₂³	1	1	yes	characteristic
299	C₃₁×#124	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
313	C₃₁×#123	D₄	1	1	yes	characteristic
314	C₃₁×C₂²⋊Q₈	—	2	1	no	—
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×#121	—	2	1	no	—
328	C₃₁×#121	—	2	1	no	—
329	C₃₁×#121	—	2	1	no	—
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	D₄	1	1	yes	characteristic
359	C₃₁×#121	D₄	1	1	yes	characteristic
360	C₃₁×#121	C₂³	1	1	yes	characteristic
361	C₃₁×#121	C₂³	1	1	yes	characteristic
362	C₃₁×#121	C₂³	1	1	yes	characteristic
363	C₃₁×#121	C₂³	1	1	yes	characteristic
364	C₃₁×#121	C₂³	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×#120	—	2	1	no	—
376	C₃₁×#120	—	2	1	no	—
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	—	2	1	no	—
388	C₃₁×#120	—	2	1	no	—
389	C₃₁×#120	—	2	1	no	—
390	C₃₁×#120	D₄	1	1	yes	characteristic
391	C₃₁×#120	D₄	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×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	C₂³	1	1	yes	characteristic
406	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
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	C₃₁×#117	—	2	1	no	—
415	C₃₁×#117	—	2	1	no	—
416	C₃₁×#117	—	2	1	no	—
417	C₃₁×#117	C₂³	1	1	yes	characteristic
418	C₃₁×#117	C₂³	1	1	yes	characteristic
419	C₃₁×#117	C₂³	1	1	yes	characteristic
420	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
421	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
422	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
423	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
424	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
425	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
426	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
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×#107	C₂³	1	1	yes	characteristic
435	C₃₁×#107	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×#102	C₂³	1	1	yes	characteristic
453	C₃₁×#102	C₂³	1	1	yes	characteristic
454	C₃₁×#102	C₂³	1	1	yes	characteristic
455	C₃₁×#102	C₂³	1	1	yes	characteristic
456	C₃₁×#102	C₂³	1	1	yes	characteristic
457	C₃₁×#102	C₂³	1	1	yes	characteristic
458	C₃₁×#102	C₂³	1	1	yes	characteristic
459	C₃₁×#102	C₂³	1	1	yes	characteristic
460	C₃₁×#102	C₂³	1	1	yes	characteristic
461	C₃₁×#102	C₂³	1	1	yes	characteristic
462	C₃₁×#102	C₂³	1	1	yes	characteristic
463	C₃₁×#102	C₂³	1	1	yes	characteristic
464	C₃₁×#102	C₂³	1	1	yes	characteristic
465	C₃₁×#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	—	2	1	no	—
495	C₂⁴×C₃₁	—	2	1	no	—
496	C₂⁴×C₃₁	C₂×D₄	1	1	yes	characteristic
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	—	2	2	no	—
502	#41×C₃₁	—	2	2	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	1	no	—
510	#41×C₃₁	—	4	1	no	—
511	#41×C₃₁	—	4	4	no	—
512	#41×C₃₁	—	4	4	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	4	no	—
518	#41×C₃₁	—	8	2	no	—
519	C₂×Q₈×C₃₁	—	2	1	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×D₄×C₃₁	—	2	1	no	—
528	C₂×D₄×C₃₁	—	2	2	no	—
529	C₂×D₄×C₃₁	—	2	2	no	—
530	C₂×D₄×C₃₁	—	2	2	no	—
531	C₂×D₄×C₃₁	—	2	1	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	—	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	—	4	1	no	—
570	C₂×D₄×C₃₁	—	4	1	no	—
571	C₂×D₄×C₃₁	—	4	1	no	—
572	C₂×D₄×C₃₁	—	4	1	no	—
573	C₂×D₄×C₃₁	—	4	1	no	—
574	C₂×D₄×C₃₁	—	4	4	no	—
575	C₂×D₄×C₃₁	—	4	4	no	—
576	C₂×D₄×C₃₁	—	4	4	no	—
577	C₂×D₄×C₃₁	—	4	4	no	—
578	C₂×D₄×C₃₁	—	8	2	no	—
579	C₂×D₄×C₃₁	—	8	2	no	—
580	C₂×D₄×C₃₁	—	8	2	no	—
581	C₂×D₄×C₃₁	—	8	2	no	—
582	C₂×D₄×C₃₁	—	8	2	no	—
583	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
584	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
585	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
586	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
587	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
588	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
589	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
590	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
591	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
592	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
593	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
594	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
595	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
596	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
607	C₂²×C₄×C₃₁	—	2	1	no	—
608	C₂²×C₄×C₃₁	—	2	1	no	—
609	C₂²×C₄×C₃₁	—	2	1	no	—
610	C₂²×C₄×C₃₁	—	2	1	no	—
611	C₂²×C₄×C₃₁	—	2	1	no	—
612	C₂²×C₄×C₃₁	—	2	1	no	—
613	C₂²×C₄×C₃₁	—	2	1	no	—
614	C₂²×C₄×C₃₁	—	4	1	no	—
615	C₂²×C₄×C₃₁	—	4	1	no	—
616	C₂²×C₄×C₃₁	—	4	4	no	—
617	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
618	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
619	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
620	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
621	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
622	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
623	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
624	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
625	Q₁₆×C₃₁	—	2	2	no	—
626	Q₁₆×C₃₁	—	4	1	no	—
627	SD₁₆×C₃₁	—	2	2	no	—
628	SD₁₆×C₃₁	—	2	2	no	—
629	SD₁₆×C₃₁	—	2	2	no	—
630	SD₁₆×C₃₁	—	2	2	no	—
631	SD₁₆×C₃₁	—	4	1	no	—
632	SD₁₆×C₃₁	—	4	1	no	—
633	SD₁₆×C₃₁	—	4	1	no	—
634	SD₁₆×C₃₁	—	4	1	no	—
635	SD₁₆×C₃₁	—	4	1	no	—
636	SD₁₆×C₃₁	—	4	1	no	—
637	D₈×C₃₁	—	2	2	no	—
638	D₈×C₃₁	—	2	2	no	—
639	D₈×C₃₁	—	2	2	no	—
640	D₈×C₃₁	—	4	1	no	—
641	D₈×C₃₁	—	4	1	no	—
642	D₈×C₃₁	—	4	1	no	—
643	D₈×C₃₁	—	4	1	no	—
644	D₈×C₃₁	—	4	1	no	—
645	D₈×C₃₁	—	4	1	no	—
646	D₈×C₃₁	—	4	1	no	—
647	D₈×C₃₁	—	4	1	no	—
648	D₈×C₃₁	—	4	1	no	—
649	M₁₆×C₃₁	—	4	1	no	—
650	M₁₆×C₃₁	—	4	1	no	—
651	C₂×C₈×C₃₁	—	4	1	no	—
652	C₂×C₈×C₃₁	—	4	1	no	—
653	C₂×C₈×C₃₁	—	4	1	no	—
654	C₂×C₈×C₃₁	—	4	1	no	—
655	C₂×C₈×C₃₁	—	4	1	no	—
656	C₂×C₈×C₃₁	—	4	1	no	—
657	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
658	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
659	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
660	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
661	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
662	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
663	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
664	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
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	C₂×D₄	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	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
721	C₂²⋊C₄×C₃₁	—	2	1	no	—
722	C₂²⋊C₄×C₃₁	—	2	1	no	—
723	C₂²⋊C₄×C₃₁	—	2	1	no	—
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	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
731	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
732	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
733	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
734	C₄²×C₃₁	—	2	1	no	—
735	C₄²×C₃₁	—	2	1	no	—
736	C₄²×C₃₁	—	2	1	no	—
737	C₄²×C₃₁	—	2	1	no	—
738	C₄²×C₃₁	—	2	1	no	—
739	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
740	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
741	#61639	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
742	C₂³×C₃₁	—	2	1	no	—
743	C₂³×C₃₁	—	2	2	no	—
744	C₂³×C₃₁	—	2	1	no	—
745	C₂³×C₃₁	—	2	1	no	—
746	C₂³×C₃₁	—	2	1	no	—
747	C₂³×C₃₁	—	2	1	no	—
748	C₂³×C₃₁	—	2	1	no	—
749	C₂³×C₃₁	—	2	1	no	—
750	C₂³×C₃₁	—	4	1	no	—
751	C₂³×C₃₁	—	4	1	no	—
752	C₂³×C₃₁	—	4	2	no	—
753	C₂³×C₃₁	—	4	2	no	—
754	C₂³×C₃₁	—	4	2	no	—
755	C₂³×C₃₁	—	4	2	no	—
756	C₂³×C₃₁	—	4	2	no	—
757	C₂³×C₃₁	—	4	2	no	—
758	C₂³×C₃₁	—	8	1	no	—
759	C₂³×C₃₁	—	8	1	no	—
760	C₂³×C₃₁	—	8	1	no	—
761	C₂³×C₃₁	—	8	1	no	—
762	C₂³×C₃₁	—	8	1	no	—
763	C₂³×C₃₁	—	8	1	no	—
764	C₂³×C₃₁	—	8	1	no	—
765	C₂³×C₃₁	—	8	1	no	—
766	C₂³×C₃₁	—	8	1	no	—
767	C₂³×C₃₁	—	8	1	no	—
768	C₂³×C₃₁	—	8	1	no	—
769	C₂³×C₃₁	—	8	1	no	—
770	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
771	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
772	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
773	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
774	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
775	Q₈×C₃₁	—	2	1	no	—
776	Q₈×C₃₁	—	2	1	no	—
777	Q₈×C₃₁	—	2	1	no	—
778	Q₈×C₃₁	—	2	1	no	—
779	Q₈×C₃₁	—	2	1	no	—
780	Q₈×C₃₁	—	4	1	no	—
781	Q₈×C₃₁	—	4	2	no	—
782	Q₈×C₃₁	—	8	1	no	—
783	Q₈×C₃₁	H(5,𝔽₂)	1	2	yes	—
784	D₄×C₃₁	—	2	4	no	—
785	D₄×C₃₁	—	2	2	no	—
786	D₄×C₃₁	—	2	2	no	—
787	D₄×C₃₁	—	2	1	no	—
788	D₄×C₃₁	—	2	1	no	—
789	D₄×C₃₁	—	2	1	no	—
790	D₄×C₃₁	—	2	1	no	—
791	D₄×C₃₁	—	2	1	no	—
792	D₄×C₃₁	—	2	1	no	—
793	D₄×C₃₁	—	2	1	no	—
794	D₄×C₃₁	—	2	1	no	—
795	D₄×C₃₁	—	2	1	no	—
796	D₄×C₃₁	—	2	1	no	—
797	D₄×C₃₁	—	2	1	no	—
798	D₄×C₃₁	—	2	1	no	—
799	D₄×C₃₁	—	2	1	no	—
800	D₄×C₃₁	—	4	1	no	—
801	D₄×C₃₁	—	4	1	no	—
802	D₄×C₃₁	—	4	1	no	—
803	D₄×C₃₁	—	4	1	no	—
804	D₄×C₃₁	—	4	1	no	—
805	D₄×C₃₁	—	4	2	no	—
806	D₄×C₃₁	—	4	2	no	—
807	D₄×C₃₁	—	4	2	no	—
808	D₄×C₃₁	—	4	2	no	—
809	D₄×C₃₁	—	4	2	no	—
810	D₄×C₃₁	—	4	2	no	—
811	D₄×C₃₁	—	4	2	no	—
812	D₄×C₃₁	—	4	2	no	—
813	D₄×C₃₁	—	4	2	no	—
814	D₄×C₃₁	—	4	2	no	—
815	D₄×C₃₁	—	4	2	no	—
816	D₄×C₃₁	—	4	2	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	—	8	1	no	—
826	D₄×C₃₁	—	8	1	no	—
827	D₄×C₃₁	—	8	1	no	—
828	D₄×C₃₁	—	8	1	no	—
829	D₄×C₃₁	—	8	1	no	—
830	D₄×C₃₁	—	8	1	no	—
831	D₄×C₃₁	—	8	1	no	—
832	D₄×C₃₁	—	8	1	no	—
833	D₄×C₃₁	—	8	1	no	—
834	D₄×C₃₁	—	8	1	no	—
835	D₄×C₃₁	—	8	1	no	—
836	D₄×C₃₁	—	8	1	no	—
837	D₄×C₃₁	—	8	1	no	—
838	D₄×C₃₁	—	8	1	no	—
839	D₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
840	C₂×C₄×C₃₁	—	2	4	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	—	2	1	no	—
848	C₂×C₄×C₃₁	—	2	1	no	—
849	C₂×C₄×C₃₁	—	2	1	no	—
850	C₂×C₄×C₃₁	—	2	1	no	—
851	C₂×C₄×C₃₁	—	2	1	no	—
852	C₂×C₄×C₃₁	—	2	1	no	—
853	C₂×C₄×C₃₁	—	2	1	no	—
854	C₂×C₄×C₃₁	—	2	1	no	—
855	C₂×C₄×C₃₁	—	2	1	no	—
856	C₂×C₄×C₃₁	—	2	1	no	—
857	C₂×C₄×C₃₁	—	2	1	no	—
858	C₂×C₄×C₃₁	—	2	1	no	—
859	C₂×C₄×C₃₁	—	2	1	no	—
860	C₂×C₄×C₃₁	—	4	1	no	—
861	C₂×C₄×C₃₁	—	4	1	no	—
862	C₂×C₄×C₃₁	—	4	1	no	—
863	C₂×C₄×C₃₁	—	4	2	no	—
864	C₂×C₄×C₃₁	—	4	2	no	—
865	C₂×C₄×C₃₁	—	4	2	no	—
866	C₂×C₄×C₃₁	—	4	2	no	—
867	C₂×C₄×C₃₁	—	4	2	no	—
868	C₂×C₄×C₃₁	—	4	2	no	—
869	C₂×C₄×C₃₁	—	4	2	no	—
870	C₂×C₄×C₃₁	—	8	1	no	—
871	C₂×C₄×C₃₁	—	8	1	no	—
872	C₂×C₄×C₃₁	—	8	1	no	—
873	C₂×C₄×C₃₁	—	8	1	no	—
874	C₂×C₄×C₃₁	—	8	1	no	—
875	C₂×C₄×C₃₁	—	8	1	no	—
876	C₂×C₄×C₃₁	—	8	1	no	—
877	C₂×C₄×C₃₁	—	8	1	no	—
878	C₂×C₄×C₃₁	—	8	1	no	—
879	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
880	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
881	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
882	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
883	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
884	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
885	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
886	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
887	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
888	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
889	C₈×C₃₁	—	2	1	no	—
890	C₈×C₃₁	—	2	1	no	—
891	C₈×C₃₁	—	2	1	no	—
892	C₈×C₃₁	—	2	1	no	—
893	C₈×C₃₁	—	2	1	no	—
894	C₈×C₃₁	—	2	1	no	—
895	C₈×C₃₁	—	2	1	no	—
896	C₈×C₃₁	—	2	1	no	—
897	#3542	C₂×C₃₁	1	1	yes	characteristic, complemented
898	#3488	C₂×C₃₁	1	1	yes	characteristic, complemented
899	#3319	C₂×C₃₁	1	1	yes	characteristic, complemented
900	#3310	C₂×C₃₁	1	1	yes	characteristic, complemented
901	#3309	C₂×C₃₁	1	1	yes	characteristic, complemented
902	#3308	C₂×C₃₁	1	1	yes	characteristic, complemented
903	#3305	C₂×C₃₁	1	1	yes	characteristic, complemented
904	#3300	C₂×C₃₁	1	1	yes	characteristic, complemented
905	#3297	C₂×C₃₁	1	1	yes	characteristic, complemented
906	#3294	C₂×C₃₁	1	1	yes	characteristic, complemented
907	#3287	C₂×C₃₁	1	1	yes	characteristic, complemented
908	#3282	C₂×C₃₁	1	1	yes	characteristic, complemented
909	#3280	C₂×C₃₁	1	1	yes	characteristic, complemented
910	D₄×D₈	C₂×C₃₁	1	1	yes	characteristic, complemented
911	#3268	C₂×C₃₁	1	1	yes	characteristic, complemented
912	#3268	C₂×C₃₁	1	1	yes	characteristic, complemented
913	#3265	C₂×C₃₁	1	1	yes	characteristic, complemented
914	#3264	C₂×C₃₁	1	1	yes	characteristic, complemented
915	#3224	C₂×C₃₁	1	1	yes	characteristic, complemented
916	#3220	C₂×C₃₁	1	1	yes	characteristic, complemented
917	#3203	C₂×C₃₁	1	1	yes	characteristic, complemented
918	#3198	C₂×C₃₁	1	1	yes	characteristic, complemented
919	#3188	C₂×C₃₁	1	1	yes	characteristic, complemented
920	#3186	C₂×C₃₁	1	1	yes	characteristic, complemented
921	#3124	C₂×C₃₁	1	1	yes	characteristic, complemented
922	#3119	C₂×C₃₁	1	1	yes	characteristic, complemented
923	#3012	C₂×C₃₁	1	1	yes	characteristic, complemented
924	#3008	C₂×C₃₁	1	1	yes	characteristic, complemented
925	#3002	C₂×C₃₁	1	1	yes	characteristic, complemented
926	C₂×#449	C₂×C₃₁	1	1	yes	characteristic, complemented
927	#2977	C₂×C₃₁	1	1	yes	characteristic, complemented
928	C₂²×C₃₁	—	2	1	no	—
929	C₂²×C₃₁	—	2	1	no	—
930	C₂²×C₃₁	—	2	1	no	—
931	C₂²×C₃₁	—	2	1	no	—
932	C₂²×C₃₁	—	2	1	no	—
933	C₂²×C₃₁	—	2	1	no	—
934	C₂²×C₃₁	—	2	1	no	—
935	C₂²×C₃₁	—	2	2	no	—
936	C₂²×C₃₁	—	2	1	no	—
937	C₂²×C₃₁	—	2	1	no	—
938	C₂²×C₃₁	—	2	1	no	—
939	C₂²×C₃₁	—	2	1	no	—
940	C₂²×C₃₁	—	2	1	no	—
941	C₂²×C₃₁	—	2	1	no	—
942	C₂²×C₃₁	—	2	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	—	4	1	no	—
950	C₂²×C₃₁	—	4	1	no	—
951	C₂²×C₃₁	—	4	1	no	—
952	C₂²×C₃₁	—	4	1	no	—
953	C₂²×C₃₁	—	4	1	no	—
954	C₂²×C₃₁	—	4	1	no	—
955	C₂²×C₃₁	—	4	1	no	—
956	C₂²×C₃₁	—	4	1	no	—
957	C₂²×C₃₁	—	4	1	no	—
958	C₂²×C₃₁	—	4	1	no	—
959	C₂²×C₃₁	—	4	1	no	—
960	C₂²×C₃₁	—	4	1	no	—
961	C₂²×C₃₁	—	4	1	no	—
962	C₂²×C₃₁	—	4	1	no	—
963	C₂²×C₃₁	—	8	2	no	—
964	C₂²×C₃₁	—	8	4	no	—
965	C₂²×C₃₁	—	16	2	no	—
966	C₂²×C₃₁	—	16	2	no	—
967	C₂²×C₃₁	—	16	2	no	—
968	C₂²×C₃₁	—	16	2	no	—
969	C₂²×C₃₁	—	16	2	no	—
970	C₂²×C₃₁	#576	1	2	yes	—
971	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
972	C₄×C₃₁	—	2	1	no	—
973	C₄×C₃₁	—	2	1	no	—
974	C₄×C₃₁	—	2	1	no	—
975	C₄×C₃₁	—	2	2	no	—
976	C₄×C₃₁	—	2	1	no	—
977	C₄×C₃₁	—	2	1	no	—
978	C₄×C₃₁	—	2	1	no	—
979	C₄×C₃₁	—	2	1	no	—
980	C₄×C₃₁	—	2	1	no	—
981	C₄×C₃₁	—	2	1	no	—
982	C₄×C₃₁	—	4	1	no	—
983	C₄×C₃₁	—	4	1	no	—
984	C₄×C₃₁	—	4	1	no	—
985	C₄×C₃₁	—	4	1	no	—
986	C₄×C₃₁	—	4	1	no	—
987	C₄×C₃₁	—	4	1	no	—
988	C₄×C₃₁	—	4	1	no	—
989	C₄×C₃₁	—	4	1	no	—
990	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
991	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
992	C₂×H(5,𝔽₂)	C₂²×C₃₁	1	1	yes	characteristic, complemented
993	C₂²×#41	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
995	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
996	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic, complemented
997	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic, complemented
998	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic, complemented
999	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1000	C₂²×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1001	C₂²×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1002	#562	—	2	1	no	—
1003	#560	—	2	1	no	—
1004	#555	C₂²×C₃₁	1	1	yes	characteristic, complemented
1005	#553	C₂²×C₃₁	1	1	yes	characteristic, complemented
1006	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
1007	#551	—	2	1	no	—
1008	#550	C₂²×C₃₁	1	1	yes	characteristic, complemented
1009	#550	C₂²×C₃₁	1	1	yes	characteristic, complemented
1010	#550	C₂²×C₃₁	1	1	yes	characteristic, complemented
1011	#548	C₂²×C₃₁	1	1	yes	characteristic
1012	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
1013	#547	C₂²×C₃₁	1	1	yes	characteristic, complemented
1014	#546	—	2	1	no	—
1015	#546	—	2	1	no	—
1016	#546	—	2	1	no	—
1017	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
1018	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
1019	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
1020	#546	C₂²×C₃₁	1	1	yes	characteristic, complemented
1021	D₄²	—	2	1	no	—
1022	D₄²	—	2	1	no	—
1023	D₄²	C₂²×C₃₁	1	1	yes	characteristic
1024	D₄²	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	D₄²	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	#542	C₂²×C₃₁	1	1	yes	characteristic, complemented
1027	#540	—	2	1	no	—
1028	#540	C₂²×C₃₁	1	1	yes	characteristic, complemented
1029	#538	—	2	1	no	—
1030	#537	—	2	1	no	—
1031	#537	C₂²×C₃₁	1	1	yes	characteristic, complemented
1032	#537	C₂²×C₃₁	1	1	yes	characteristic, complemented
1033	#535	—	2	1	no	—
1034	#535	—	2	1	no	—
1035	#535	C₂²×C₃₁	1	1	yes	characteristic, complemented
1036	#535	C₂²×C₃₁	1	1	yes	characteristic, complemented
1037	#534	—	2	1	no	—
1038	#525	—	2	1	no	—
1039	#525	C₂²×C₃₁	1	1	yes	characteristic
1040	#525	C₂²×C₃₁	1	1	yes	characteristic, complemented
1041	C₂×#121	—	2	1	no	—
1042	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic, complemented
1043	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic, complemented
1044	#520	C₂²×C₃₁	1	1	yes	characteristic, complemented
1045	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
1046	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
1048	#493	C₂²×C₃₁	1	1	yes	characteristic, complemented
1049	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
1050	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
1051	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
1052	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
1053	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
1054	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
1055	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
1056	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1057	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1058	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1059	#481	C₂²×C₃₁	1	1	yes	characteristic, complemented
1060	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
1061	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
1062	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
1063	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
1064	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
1065	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
1066	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
1067	#477	C₂²×C₃₁	1	1	yes	characteristic, complemented
1068	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
1069	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
1070	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1071	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1072	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1073	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
1074	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1075	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1076	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1077	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1078	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1079	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1080	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1081	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1082	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1083	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1084	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1085	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1086	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1087	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1088	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1089	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1090	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1091	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1092	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1093	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1094	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1095	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1096	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1097	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1098	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1099	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1100	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1101	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1102	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1103	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1104	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1105	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1106	#449	C₂²×C₃₁	1	1	yes	characteristic
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	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1112	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1113	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1114	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1115	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1116	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1117	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1118	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1119	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1120	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1121	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1122	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1123	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1124	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1125	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1126	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1127	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1128	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1129	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1130	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1131	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1132	#447	C₂²×C₃₁	1	1	yes	characteristic, complemented
1133	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1134	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1135	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1136	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1137	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1138	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1139	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1140	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1141	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1142	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1143	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1144	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1145	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1146	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1147	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1148	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1149	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1150	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1151	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1152	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1153	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1154	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1155	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1156	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic, complemented
1157	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1158	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1159	#408	C₂²×C₃₁	1	1	yes	characteristic, complemented
1160	#408	C₂²×C₃₁	1	1	yes	characteristic, complemented
1161	C₂×C₂²⋊C₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1162	C₂×C₂²⋊C₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1163	C₂×C₃₁	—	2	2	no	—
1164	C₂×C₃₁	—	4	1	no	—
1165	C₂×C₃₁	—	4	1	no	—
1166	C₂×C₃₁	—	4	1	no	—
1167	C₂×C₃₁	—	4	1	no	—
1168	C₂×C₃₁	—	4	2	no	—
1169	C₂×C₃₁	—	8	1	no	—
1170	C₂×C₃₁	—	8	1	no	—
1171	C₂×C₃₁	—	8	1	no	—
1172	C₂×C₃₁	—	8	1	no	—
1173	C₂×C₃₁	—	8	1	no	—
1174	C₂×C₃₁	—	8	1	no	—
1175	C₂×C₃₁	#3484	1	1	yes	characteristic
1176	C₂×C₃₁	C₂×#576	1	1	yes	characteristic
1177	C₂×C₃₁	#3584	1	1	yes	characteristic
1178	H(5,𝔽₂)	—	4	2	no	—
1179	H(5,𝔽₂)	—	4	2	no	—
1180	C₂×#41	—	2	1	no	—
1181	C₂×#41	—	2	1	no	—
1182	C₂×#41	—	2	1	no	—
1183	C₂×#41	—	2	1	no	—
1184	C₂×#41	—	4	2	no	—
1185	C₂×#41	—	4	2	no	—
1186	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1187	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1188	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1189	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1190	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1191	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1192	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1193	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1194	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1195	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1196	C₂²×D₄	—	2	1	no	—
1197	C₂²×D₄	—	2	1	no	—
1198	C₂²×D₄	—	2	1	no	—
1199	C₂²×D₄	—	2	1	no	—
1200	C₂²×D₄	—	2	1	no	—
1201	C₂²×D₄	—	2	1	no	—
1202	C₂²×D₄	—	2	1	no	—
1203	C₂²×D₄	—	2	1	no	—
1204	C₂²×D₄	—	2	1	no	—
1205	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1206	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1207	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1208	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1209	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1210	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1211	C₂³×C₄	—	2	1	no	—
1212	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1213	AGL(1,ℤ/8)	—	4	2	no	—
1214	AGL(1,ℤ/8)	—	4	2	no	—
1215	#135	—	4	2	no	—
1216	#135	—	4	2	no	—
1217	#135	—	4	2	no	—
1218	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1219	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1220	C₂×SD₁₆	—	4	2	no	—
1221	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1222	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1223	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1224	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1225	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1226	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1227	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1228	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1229	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1230	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1231	C₂×D₈	—	4	2	no	—
1232	C₂×D₈	—	4	2	no	—
1233	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1234	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1235	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1236	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1237	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1238	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1239	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1240	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1241	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1242	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1243	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1244	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1245	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1246	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1247	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1248	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1249	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1250	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1251	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1252	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1253	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1254	#127	—	2	1	no	—
1255	#127	—	2	1	no	—
1256	#127	—	2	1	no	—
1257	#127	—	2	1	no	—
1258	#127	C₂³×C₃₁	1	1	yes	characteristic
1259	#127	C₂³×C₃₁	1	1	yes	characteristic
1260	#127	C₂³×C₃₁	1	1	yes	characteristic
1261	#126	—	2	1	no	—
1262	#126	—	2	1	no	—
1263	#126	—	2	1	no	—
1264	#125	—	2	1	no	—
1265	#125	C₂³×C₃₁	1	1	yes	characteristic
1266	#124	—	2	1	no	—
1267	#124	—	2	1	no	—
1268	#124	—	2	1	no	—
1269	#124	—	2	1	no	—
1270	#124	—	2	1	no	—
1271	#124	—	2	1	no	—
1272	#124	C₂³×C₃₁	1	1	yes	characteristic
1273	#124	C₂³×C₃₁	1	1	yes	characteristic
1274	#124	C₂³×C₃₁	1	1	yes	characteristic
1275	#123	—	2	1	no	—
1276	#123	—	2	1	no	—
1277	#123	—	2	1	no	—
1278	#123	—	2	1	no	—
1279	#123	—	2	1	no	—
1280	#123	—	2	1	no	—
1281	#123	—	2	1	no	—
1282	#123	—	2	1	no	—
1283	#123	—	2	1	no	—
1284	#123	—	2	1	no	—
1285	#123	—	2	1	no	—
1286	#123	—	2	1	no	—
1287	#123	D₄×C₃₁	1	1	yes	characteristic
1288	#123	D₄×C₃₁	1	1	yes	characteristic
1289	C₂²⋊Q₈	—	2	1	no	—
1290	C₂²⋊Q₈	—	2	1	no	—
1291	C₂²⋊Q₈	—	2	1	no	—
1292	C₂²⋊Q₈	—	2	1	no	—
1293	C₂²⋊Q₈	—	2	1	no	—
1294	C₂²⋊Q₈	—	2	1	no	—
1295	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1296	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1297	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1298	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1299	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1300	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1301	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
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	—	2	1	no	—
1322	#121	—	2	1	no	—
1323	#121	—	2	1	no	—
1324	#121	—	2	1	no	—
1325	#121	—	2	1	no	—
1326	#121	—	2	1	no	—
1327	#121	—	2	1	no	—
1328	#121	—	2	1	no	—
1329	#121	—	2	1	no	—
1330	#121	—	2	1	no	—
1331	#121	—	2	1	no	—
1332	#121	—	2	1	no	—
1333	#121	D₄×C₃₁	1	1	yes	characteristic
1334	#121	D₄×C₃₁	1	1	yes	characteristic
1335	#121	C₂³×C₃₁	1	1	yes	characteristic
1336	#121	C₂³×C₃₁	1	1	yes	characteristic
1337	#121	C₂³×C₃₁	1	1	yes	characteristic
1338	#121	C₂³×C₃₁	1	1	yes	characteristic
1339	#121	C₂³×C₃₁	1	1	yes	characteristic
1340	#121	C₂³×C₃₁	1	1	yes	characteristic
1341	#121	C₂³×C₃₁	1	1	yes	characteristic
1342	#121	C₂³×C₃₁	1	1	yes	characteristic
1343	#121	C₂³×C₃₁	1	1	yes	characteristic
1344	#121	C₂³×C₃₁	1	1	yes	characteristic
1345	#121	C₂³×C₃₁	1	1	yes	characteristic
1346	#121	C₂³×C₃₁	1	1	yes	characteristic
1347	#121	C₂³×C₃₁	1	1	yes	characteristic
1348	#121	C₂³×C₃₁	1	1	yes	characteristic
1349	#121	C₂³×C₃₁	1	1	yes	characteristic
1350	#120	—	2	1	no	—
1351	#120	—	2	1	no	—
1352	#120	—	2	1	no	—
1353	#120	—	2	1	no	—
1354	#120	—	2	1	no	—
1355	#120	—	2	1	no	—
1356	#120	—	2	1	no	—
1357	#120	—	2	1	no	—
1358	#120	—	2	1	no	—
1359	#120	—	2	1	no	—
1360	#120	—	2	1	no	—
1361	#120	—	2	1	no	—
1362	#120	—	2	1	no	—
1363	#120	—	2	1	no	—
1364	#120	—	2	1	no	—
1365	#120	D₄×C₃₁	1	1	yes	characteristic
1366	#120	D₄×C₃₁	1	1	yes	characteristic
1367	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1368	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1369	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1370	C₄×D₄	—	2	1	no	—
1371	C₄×D₄	—	2	1	no	—
1372	C₄×D₄	—	2	1	no	—
1373	C₄×D₄	—	2	1	no	—
1374	C₄×D₄	—	2	1	no	—
1375	C₄×D₄	—	2	1	no	—
1376	C₄×D₄	—	2	1	no	—
1377	C₄×D₄	—	2	1	no	—
1378	C₄×D₄	—	2	1	no	—
1379	C₄×D₄	—	2	1	no	—
1380	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1381	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1382	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1383	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1384	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1385	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1386	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1387	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1388	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1389	#117	—	2	1	no	—
1390	#117	—	2	1	no	—
1391	#117	—	2	1	no	—
1392	#117	C₂³×C₃₁	1	1	yes	characteristic
1393	#117	C₂³×C₃₁	1	1	yes	characteristic
1394	#117	C₂³×C₃₁	1	1	yes	characteristic
1395	C₂×C₄⋊C₄	—	2	1	no	—
1396	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1397	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1398	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1399	C₂×C₂²⋊C₄	—	2	1	no	—
1400	C₂×C₂²⋊C₄	—	2	1	no	—
1401	C₂×C₂²⋊C₄	—	2	1	no	—
1402	C₂×C₂²⋊C₄	—	2	1	no	—
1403	C₂×C₂²⋊C₄	—	2	1	no	—
1404	C₂×C₂²⋊C₄	—	2	1	no	—
1405	#107	C₂³×C₃₁	1	1	yes	characteristic
1406	#107	C₂³×C₃₁	1	1	yes	characteristic
1407	#107	C₂³×C₃₁	1	1	yes	characteristic
1408	#107	C₂³×C₃₁	1	1	yes	characteristic
1409	#107	C₂³×C₃₁	1	1	yes	characteristic
1410	#107	C₂³×C₃₁	1	1	yes	characteristic
1411	#106	C₂³×C₃₁	1	1	yes	characteristic
1412	#106	C₂³×C₃₁	1	1	yes	characteristic
1413	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1414	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1415	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1416	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1417	#103	C₂³×C₃₁	1	1	yes	characteristic
1418	#103	C₂³×C₃₁	1	1	yes	characteristic
1419	#103	C₂³×C₃₁	1	1	yes	characteristic
1420	#103	C₂³×C₃₁	1	1	yes	characteristic
1421	#103	C₂³×C₃₁	1	1	yes	characteristic
1422	#103	C₂³×C₃₁	1	1	yes	characteristic
1423	#103	C₂³×C₃₁	1	1	yes	characteristic
1424	#103	C₂³×C₃₁	1	1	yes	characteristic
1425	#103	C₂³×C₃₁	1	1	yes	characteristic
1426	#103	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	#102	C₂³×C₃₁	1	1	yes	characteristic
1433	#102	C₂³×C₃₁	1	1	yes	characteristic
1434	#102	C₂³×C₃₁	1	1	yes	characteristic
1435	#102	C₂³×C₃₁	1	1	yes	characteristic
1436	#102	C₂³×C₃₁	1	1	yes	characteristic
1437	#102	C₂³×C₃₁	1	1	yes	characteristic
1438	#102	C₂³×C₃₁	1	1	yes	characteristic
1439	#102	C₂³×C₃₁	1	1	yes	characteristic
1440	#102	C₂³×C₃₁	1	1	yes	characteristic
1441	#102	C₂³×C₃₁	1	1	yes	characteristic
1442	#102	C₂³×C₃₁	1	1	yes	characteristic
1443	#102	C₂³×C₃₁	1	1	yes	characteristic
1444	#102	C₂³×C₃₁	1	1	yes	characteristic
1445	#102	C₂³×C₃₁	1	1	yes	characteristic
1446	#102	C₂³×C₃₁	1	1	yes	characteristic
1447	#102	C₂³×C₃₁	1	1	yes	characteristic
1448	#102	C₂³×C₃₁	1	1	yes	characteristic
1449	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1450	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1451	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1452	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1453	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1454	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1455	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1456	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1457	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1458	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1459	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1460	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1461	#97	C₂³×C₃₁	1	1	yes	characteristic
1462	#97	C₂³×C₃₁	1	1	yes	characteristic
1463	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1464	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1465	C₃₁	#61639	1	1	yes	characteristic, direct product factor, Sylow
1466	C₂⁴	—	2	1	no	—
1467	C₂⁴	—	2	1	no	—
1468	C₂⁴	—	2	1	no	—
1469	C₂⁴	—	2	1	no	—
1470	C₂⁴	—	2	1	no	—
1471	C₂⁴	—	2	1	no	—
1472	C₂⁴	C₂×D₄×C₃₁	1	1	yes	characteristic
1473	#41	—	2	2	no	—
1474	#41	—	2	2	no	—
1475	#41	—	2	2	no	—
1476	#41	—	2	2	no	—
1477	#41	—	2	2	no	—
1478	#41	—	2	2	no	—
1479	#41	—	4	1	no	—
1480	#41	—	4	1	no	—
1481	#41	—	4	1	no	—
1482	#41	—	4	1	no	—
1483	#41	—	4	1	no	—
1484	#41	—	4	1	no	—
1485	#41	—	4	1	no	—
1486	#41	—	4	1	no	—
1487	#41	—	4	4	no	—
1488	#41	—	4	4	no	—
1489	#41	—	4	1	no	—
1490	#41	—	4	1	no	—
1491	#41	—	4	1	no	—
1492	#41	—	4	1	no	—
1493	#41	—	4	4	no	—
1494	#41	—	8	2	no	—
1495	C₂×Q₈	—	2	1	no	—
1496	C₂×Q₈	—	2	1	no	—
1497	C₂×Q₈	—	2	2	no	—
1498	C₂×Q₈	—	4	1	no	—
1499	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1500	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1501	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1502	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	2	no	—
1505	C₂×D₄	—	2	2	no	—
1506	C₂×D₄	—	2	2	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	—	2	1	no	—
1523	C₂×D₄	—	2	1	no	—
1524	C₂×D₄	—	2	1	no	—
1525	C₂×D₄	—	2	1	no	—
1526	C₂×D₄	—	2	1	no	—
1527	C₂×D₄	—	2	1	no	—
1528	C₂×D₄	—	2	1	no	—
1529	C₂×D₄	—	2	1	no	—
1530	C₂×D₄	—	2	1	no	—
1531	C₂×D₄	—	2	1	no	—
1532	C₂×D₄	—	2	1	no	—
1533	C₂×D₄	—	2	1	no	—
1534	C₂×D₄	—	2	1	no	—
1535	C₂×D₄	—	2	1	no	—
1536	C₂×D₄	—	2	1	no	—
1537	C₂×D₄	—	2	1	no	—
1538	C₂×D₄	—	2	1	no	—
1539	C₂×D₄	—	2	1	no	—
1540	C₂×D₄	—	2	1	no	—
1541	C₂×D₄	—	4	1	no	—
1542	C₂×D₄	—	4	1	no	—
1543	C₂×D₄	—	4	1	no	—
1544	C₂×D₄	—	4	1	no	—
1545	C₂×D₄	—	4	1	no	—
1546	C₂×D₄	—	4	1	no	—
1547	C₂×D₄	—	4	1	no	—
1548	C₂×D₄	—	4	1	no	—
1549	C₂×D₄	—	4	1	no	—
1550	C₂×D₄	—	4	4	no	—
1551	C₂×D₄	—	4	4	no	—
1552	C₂×D₄	—	4	4	no	—
1553	C₂×D₄	—	4	4	no	—
1554	C₂×D₄	—	8	2	no	—
1555	C₂×D₄	—	8	2	no	—
1556	C₂×D₄	—	8	2	no	—
1557	C₂×D₄	—	8	2	no	—
1558	C₂×D₄	—	8	2	no	—
1559	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1560	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1561	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1562	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1563	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1564	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1565	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1566	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1567	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1568	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1569	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1570	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1571	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1572	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1573	C₂²×C₄	—	2	1	no	—
1574	C₂²×C₄	—	2	1	no	—
1575	C₂²×C₄	—	2	1	no	—
1576	C₂²×C₄	—	2	1	no	—
1577	C₂²×C₄	—	2	1	no	—
1578	C₂²×C₄	—	2	1	no	—
1579	C₂²×C₄	—	2	1	no	—
1580	C₂²×C₄	—	2	1	no	—
1581	C₂²×C₄	—	2	1	no	—
1582	C₂²×C₄	—	2	1	no	—
1583	C₂²×C₄	—	2	1	no	—
1584	C₂²×C₄	—	2	1	no	—
1585	C₂²×C₄	—	2	1	no	—
1586	C₂²×C₄	—	2	1	no	—
1587	C₂²×C₄	—	2	1	no	—
1588	C₂²×C₄	—	2	1	no	—
1589	C₂²×C₄	—	2	1	no	—
1590	C₂²×C₄	—	4	1	no	—
1591	C₂²×C₄	—	4	1	no	—
1592	C₂²×C₄	—	4	4	no	—
1593	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1594	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1595	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1596	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1597	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1598	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1599	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1600	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1601	Q₁₆	—	2	2	no	—
1602	Q₁₆	—	4	1	no	—
1603	SD₁₆	—	2	2	no	—
1604	SD₁₆	—	2	2	no	—
1605	SD₁₆	—	2	2	no	—
1606	SD₁₆	—	2	2	no	—
1607	SD₁₆	—	4	1	no	—
1608	SD₁₆	—	4	1	no	—
1609	SD₁₆	—	4	1	no	—
1610	SD₁₆	—	4	1	no	—
1611	SD₁₆	—	4	1	no	—
1612	SD₁₆	—	4	1	no	—
1613	D₈	—	2	2	no	—
1614	D₈	—	2	2	no	—
1615	D₈	—	2	2	no	—
1616	D₈	—	4	1	no	—
1617	D₈	—	4	1	no	—
1618	D₈	—	4	1	no	—
1619	D₈	—	4	1	no	—
1620	D₈	—	4	1	no	—
1621	D₈	—	4	1	no	—
1622	D₈	—	4	1	no	—
1623	D₈	—	4	1	no	—
1624	D₈	—	4	1	no	—
1625	M₁₆	—	4	1	no	—
1626	M₁₆	—	4	1	no	—
1627	C₂×C₈	—	4	1	no	—
1628	C₂×C₈	—	4	1	no	—
1629	C₂×C₈	—	4	1	no	—
1630	C₂×C₈	—	4	1	no	—
1631	C₂×C₈	—	4	1	no	—
1632	C₂×C₈	—	4	1	no	—
1633	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1634	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1635	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1636	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1637	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1638	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1639	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1640	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1641	C₄⋊C₄	—	2	1	no	—
1642	C₄⋊C₄	—	2	1	no	—
1643	C₄⋊C₄	—	2	1	no	—
1644	C₄⋊C₄	—	2	1	no	—
1645	C₄⋊C₄	—	2	1	no	—
1646	C₄⋊C₄	—	2	1	no	—
1647	C₄⋊C₄	—	2	1	no	—
1648	C₄⋊C₄	—	2	1	no	—
1649	C₄⋊C₄	—	2	1	no	—
1650	C₄⋊C₄	—	2	1	no	—
1651	C₄⋊C₄	—	2	1	no	—
1652	C₄⋊C₄	—	2	1	no	—
1653	C₄⋊C₄	—	2	1	no	—
1654	C₄⋊C₄	—	2	1	no	—
1655	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1656	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1657	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1658	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1659	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1660	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1661	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1662	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1663	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1664	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1665	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1666	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
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	—	2	1	no	—
1680	C₂²⋊C₄	—	2	1	no	—
1681	C₂²⋊C₄	—	2	1	no	—
1682	C₂²⋊C₄	—	2	1	no	—
1683	C₂²⋊C₄	—	2	1	no	—
1684	C₂²⋊C₄	—	2	1	no	—
1685	C₂²⋊C₄	—	2	1	no	—
1686	C₂²⋊C₄	—	2	1	no	—
1687	C₂²⋊C₄	—	2	1	no	—
1688	C₂²⋊C₄	—	2	1	no	—
1689	C₂²⋊C₄	—	2	1	no	—
1690	C₂²⋊C₄	—	2	1	no	—
1691	C₂²⋊C₄	—	2	1	no	—
1692	C₂²⋊C₄	—	2	1	no	—
1693	C₂²⋊C₄	—	2	1	no	—
1694	C₂²⋊C₄	—	2	1	no	—
1695	C₂²⋊C₄	—	2	1	no	—
1696	C₂²⋊C₄	—	2	1	no	—
1697	C₂²⋊C₄	—	2	1	no	—
1698	C₂²⋊C₄	—	2	1	no	—
1699	C₂²⋊C₄	—	2	1	no	—
1700	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1701	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1702	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1703	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1704	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1705	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1706	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1707	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1708	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1709	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1710	C₄²	—	2	1	no	—
1711	C₄²	—	2	1	no	—
1712	C₄²	—	2	1	no	—
1713	C₄²	—	2	1	no	—
1714	C₄²	—	2	1	no	—
1715	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1716	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1717	C₂³	—	2	1	no	—
1718	C₂³	—	2	2	no	—
1719	C₂³	—	2	1	no	—
1720	C₂³	—	2	1	no	—
1721	C₂³	—	2	1	no	—
1722	C₂³	—	2	1	no	—
1723	C₂³	—	2	1	no	—
1724	C₂³	—	2	1	no	—
1725	C₂³	—	4	1	no	—
1726	C₂³	—	4	1	no	—
1727	C₂³	—	4	2	no	—
1728	C₂³	—	4	2	no	—
1729	C₂³	—	4	2	no	—
1730	C₂³	—	4	2	no	—
1731	C₂³	—	4	2	no	—
1732	C₂³	—	4	2	no	—
1733	C₂³	—	8	1	no	—
1734	C₂³	—	8	1	no	—
1735	C₂³	—	8	1	no	—
1736	C₂³	—	8	1	no	—
1737	C₂³	—	8	1	no	—
1738	C₂³	—	8	1	no	—
1739	C₂³	—	8	1	no	—
1740	C₂³	—	8	1	no	—
1741	C₂³	—	8	1	no	—
1742	C₂³	—	8	1	no	—
1743	C₂³	—	8	1	no	—
1744	C₂³	—	8	1	no	—
1745	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1746	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1747	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1748	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1749	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1750	Q₈	—	2	1	no	—
1751	Q₈	—	2	1	no	—
1752	Q₈	—	2	1	no	—
1753	Q₈	—	2	1	no	—
1754	Q₈	—	2	1	no	—
1755	Q₈	—	4	1	no	—
1756	Q₈	—	4	2	no	—
1757	Q₈	—	8	1	no	—
1758	Q₈	C₃₁×H(5,𝔽₂)	1	2	yes	—
1759	D₄	—	2	4	no	—
1760	D₄	—	2	2	no	—
1761	D₄	—	2	2	no	—
1762	D₄	—	2	1	no	—
1763	D₄	—	2	1	no	—
1764	D₄	—	2	1	no	—
1765	D₄	—	2	1	no	—
1766	D₄	—	2	1	no	—
1767	D₄	—	2	1	no	—
1768	D₄	—	2	1	no	—
1769	D₄	—	2	1	no	—
1770	D₄	—	2	1	no	—
1771	D₄	—	2	1	no	—
1772	D₄	—	2	1	no	—
1773	D₄	—	2	1	no	—
1774	D₄	—	2	1	no	—
1775	D₄	—	4	1	no	—
1776	D₄	—	4	1	no	—
1777	D₄	—	4	1	no	—
1778	D₄	—	4	1	no	—
1779	D₄	—	4	1	no	—
1780	D₄	—	4	2	no	—
1781	D₄	—	4	2	no	—
1782	D₄	—	4	2	no	—
1783	D₄	—	4	2	no	—
1784	D₄	—	4	2	no	—
1785	D₄	—	4	2	no	—
1786	D₄	—	4	2	no	—
1787	D₄	—	4	2	no	—
1788	D₄	—	4	2	no	—
1789	D₄	—	4	2	no	—
1790	D₄	—	4	2	no	—
1791	D₄	—	4	2	no	—
1792	D₄	—	8	1	no	—
1793	D₄	—	8	1	no	—
1794	D₄	—	8	1	no	—
1795	D₄	—	8	1	no	—
1796	D₄	—	8	1	no	—
1797	D₄	—	8	1	no	—
1798	D₄	—	8	1	no	—
1799	D₄	—	8	1	no	—
1800	D₄	—	8	1	no	—
1801	D₄	—	8	1	no	—
1802	D₄	—	8	1	no	—
1803	D₄	—	8	1	no	—
1804	D₄	—	8	1	no	—
1805	D₄	—	8	1	no	—
1806	D₄	—	8	1	no	—
1807	D₄	—	8	1	no	—
1808	D₄	—	8	1	no	—
1809	D₄	—	8	1	no	—
1810	D₄	—	8	1	no	—
1811	D₄	—	8	1	no	—
1812	D₄	—	8	1	no	—
1813	D₄	—	8	1	no	—
1814	D₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
1815	C₂×C₄	—	2	4	no	—
1816	C₂×C₄	—	2	1	no	—
1817	C₂×C₄	—	2	1	no	—
1818	C₂×C₄	—	2	1	no	—
1819	C₂×C₄	—	2	1	no	—
1820	C₂×C₄	—	2	1	no	—
1821	C₂×C₄	—	2	1	no	—
1822	C₂×C₄	—	2	1	no	—
1823	C₂×C₄	—	2	1	no	—
1824	C₂×C₄	—	2	1	no	—
1825	C₂×C₄	—	2	1	no	—
1826	C₂×C₄	—	2	1	no	—
1827	C₂×C₄	—	2	1	no	—
1828	C₂×C₄	—	2	1	no	—
1829	C₂×C₄	—	2	1	no	—
1830	C₂×C₄	—	2	1	no	—
1831	C₂×C₄	—	2	1	no	—
1832	C₂×C₄	—	2	1	no	—
1833	C₂×C₄	—	2	1	no	—
1834	C₂×C₄	—	2	1	no	—
1835	C₂×C₄	—	4	1	no	—
1836	C₂×C₄	—	4	1	no	—
1837	C₂×C₄	—	4	1	no	—
1838	C₂×C₄	—	4	2	no	—
1839	C₂×C₄	—	4	2	no	—
1840	C₂×C₄	—	4	2	no	—
1841	C₂×C₄	—	4	2	no	—
1842	C₂×C₄	—	4	2	no	—
1843	C₂×C₄	—	4	2	no	—
1844	C₂×C₄	—	4	2	no	—
1845	C₂×C₄	—	8	1	no	—
1846	C₂×C₄	—	8	1	no	—
1847	C₂×C₄	—	8	1	no	—
1848	C₂×C₄	—	8	1	no	—
1849	C₂×C₄	—	8	1	no	—
1850	C₂×C₄	—	8	1	no	—
1851	C₂×C₄	—	8	1	no	—
1852	C₂×C₄	—	8	1	no	—
1853	C₂×C₄	—	8	1	no	—
1854	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1855	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1856	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1857	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1858	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1859	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1860	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1861	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1862	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1863	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1864	C₈	—	2	1	no	—
1865	C₈	—	2	1	no	—
1866	C₈	—	2	1	no	—
1867	C₈	—	2	1	no	—
1868	C₈	—	2	1	no	—
1869	C₈	—	2	1	no	—
1870	C₈	—	2	1	no	—
1871	C₈	—	2	1	no	—
1872	C₂²	—	2	1	no	—
1873	C₂²	—	2	1	no	—
1874	C₂²	—	2	1	no	—
1875	C₂²	—	2	2	no	—
1876	C₂²	—	2	1	no	—
1877	C₂²	—	2	1	no	—
1878	C₂²	—	2	1	no	—
1879	C₂²	—	2	1	no	—
1880	C₂²	—	2	1	no	—
1881	C₂²	—	2	1	no	—
1882	C₂²	—	2	1	no	—
1883	C₂²	—	2	1	no	—
1884	C₂²	—	2	1	no	—
1885	C₂²	—	2	1	no	—
1886	C₂²	—	2	1	no	—
1887	C₂²	—	4	1	no	—
1888	C₂²	—	4	1	no	—
1889	C₂²	—	4	1	no	—
1890	C₂²	—	4	1	no	—
1891	C₂²	—	4	1	no	—
1892	C₂²	—	4	1	no	—
1893	C₂²	—	4	1	no	—
1894	C₂²	—	4	1	no	—
1895	C₂²	—	4	1	no	—
1896	C₂²	—	4	1	no	—
1897	C₂²	—	4	1	no	—
1898	C₂²	—	4	1	no	—
1899	C₂²	—	4	1	no	—
1900	C₂²	—	4	1	no	—
1901	C₂²	—	4	1	no	—
1902	C₂²	—	4	1	no	—
1903	C₂²	—	4	1	no	—
1904	C₂²	—	4	1	no	—
1905	C₂²	—	4	1	no	—
1906	C₂²	—	4	1	no	—
1907	C₂²	—	8	2	no	—
1908	C₂²	—	8	4	no	—
1909	C₂²	—	16	2	no	—
1910	C₂²	—	16	2	no	—
1911	C₂²	—	16	2	no	—
1912	C₂²	—	16	2	no	—
1913	C₂²	—	16	2	no	—
1914	C₂²	C₃₁×#576	1	2	yes	—
1915	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1916	C₄	—	2	1	no	—
1917	C₄	—	2	2	no	—
1918	C₄	—	2	1	no	—
1919	C₄	—	2	1	no	—
1920	C₄	—	2	1	no	—
1921	C₄	—	2	1	no	—
1922	C₄	—	2	1	no	—
1923	C₄	—	2	1	no	—
1924	C₄	—	2	1	no	—
1925	C₄	—	2	1	no	—
1926	C₄	—	4	1	no	—
1927	C₄	—	4	1	no	—
1928	C₄	—	4	1	no	—
1929	C₄	—	4	1	no	—
1930	C₄	—	4	1	no	—
1931	C₄	—	4	1	no	—
1932	C₄	—	4	1	no	—
1933	C₄	—	4	1	no	—
1934	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1935	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1936	C₂	—	2	2	no	—
1937	C₂	—	4	1	no	—
1938	C₂	—	4	1	no	—
1939	C₂	—	4	1	no	—
1940	C₂	—	4	1	no	—
1941	C₂	—	4	2	no	—
1942	C₂	—	8	1	no	—
1943	C₂	—	8	1	no	—
1944	C₂	—	8	1	no	—
1945	C₂	—	8	1	no	—
1946	C₂	—	8	1	no	—
1947	C₂	—	8	1	no	—
1948	C₂	C₃₁×#3484	1	1	yes	characteristic
1949	C₂	C₂×C₃₁×#576	1	1	yes	characteristic
1950	C₂	C₃₁×#3584	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×#3488	C₂	semidirect
3. C₃₁×#3319	C₂	semidirect
4. C₃₁×#3310	C₂	semidirect
5. C₃₁×#3309	C₂	semidirect
6. C₃₁×#3308	C₂	semidirect
7. C₃₁×#3305	C₂	semidirect
8. C₃₁×#3300	C₂	semidirect
9. C₃₁×#3297	C₂	semidirect
10. C₃₁×#3294	C₂	semidirect
11. C₃₁×#3287	C₂	semidirect
12. C₃₁×#3282	C₂	semidirect
13. C₃₁×#3280	C₂	semidirect
14. D₄×D₈×C₃₁	C₂	semidirect
15. C₃₁×#3268	C₂	semidirect
16. C₃₁×#3268	C₂	semidirect
17. C₃₁×#3265	C₂	semidirect
18. C₃₁×#3264	C₂	semidirect
19. C₃₁×#3224	C₂	semidirect
20. C₃₁×#3220	C₂	semidirect
21. C₃₁×#3203	C₂	semidirect
22. C₃₁×#3198	C₂	semidirect
23. C₃₁×#3188	C₂	semidirect
24. C₃₁×#3186	C₂	semidirect
25. C₃₁×#3124	C₂	semidirect
26. C₃₁×#3119	C₂	semidirect
27. C₃₁×#3012	C₂	semidirect
28. C₃₁×#3008	C₂	semidirect
29. C₃₁×#3002	C₂	semidirect
30. C₂×C₃₁×#449	C₂	semidirect
31. C₃₁×#2977	C₂	semidirect
32. C₂×C₃₁×H(5,𝔽₂)	C₂²	semidirect
33. C₂²×#41×C₃₁	C₂²	semidirect
34. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
35. C₂×C₃₁×AGL(1,ℤ/8)	C₂²	semidirect
36. C₂×C₃₁×#135	C₂²	semidirect
37. C₂×C₃₁×#135	C₂²	semidirect
38. C₂×C₃₁×#135	C₂²	semidirect
39. C₂²×SD₁₆×C₃₁	C₂²	semidirect
40. C₂²×D₈×C₃₁	C₂²	semidirect
41. C₂²×D₈×C₃₁	C₂²	semidirect
44. C₃₁×#555	C₂²	semidirect
45. C₃₁×#553	C₂²	semidirect
46. C₃₁×#552	C₂²	semidirect
48. C₃₁×#550	C₂²	semidirect
49. C₃₁×#550	C₂²	semidirect
50. C₃₁×#550	C₂²	semidirect
52. C₃₁×#548	C₂²	semidirect
53. C₃₁×#547	C₂²	semidirect
57. C₃₁×#546	C₂²	semidirect
58. C₃₁×#546	C₂²	semidirect
59. C₃₁×#546	C₂²	semidirect
60. C₃₁×#546	C₂²	semidirect
64. D₄²×C₃₁	C₂²	semidirect
65. D₄²×C₃₁	C₂²	semidirect
66. C₃₁×#542	C₂²	semidirect
68. C₃₁×#540	C₂²	semidirect
71. C₃₁×#537	C₂²	semidirect
72. C₃₁×#537	C₂²	semidirect
75. C₃₁×#535	C₂²	semidirect
76. C₃₁×#535	C₂²	semidirect
80. C₃₁×#525	C₂²	semidirect
82. C₂×C₃₁×#121	C₂²	semidirect
83. C₂×C₃₁×#121	C₂²	semidirect
84. C₃₁×#520	C₂²	semidirect
85. C₃₁×#496	C₂²	semidirect
86. C₃₁×#496	C₂²	semidirect
87. C₃₁×#495	C₂²	semidirect
88. C₃₁×#493	C₂²	semidirect
89. C₃₁×#490	C₂²	semidirect
90. C₃₁×#489	C₂²	semidirect
91. C₃₁×#488	C₂²	semidirect
92. C₃₁×#486	C₂²	semidirect
93. C₃₁×#485	C₂²	semidirect
94. C₃₁×#484	C₂²	semidirect
95. C₃₁×#484	C₂²	semidirect
96. C₃₁×#482	C₂²	semidirect
97. C₃₁×#482	C₂²	semidirect
98. C₃₁×#482	C₂²	semidirect
99. C₃₁×#481	C₂²	semidirect
100. C₃₁×#480	C₂²	semidirect
101. C₃₁×#480	C₂²	semidirect
102. C₃₁×#480	C₂²	semidirect
103. C₃₁×#480	C₂²	semidirect
104. C₃₁×#480	C₂²	semidirect
105. C₃₁×#479	C₂²	semidirect
106. C₃₁×#478	C₂²	semidirect
107. C₃₁×#477	C₂²	semidirect
108. C₃₁×#474	C₂²	semidirect
109. C₃₁×#469	C₂²	semidirect
110. C₃₁×#468	C₂²	semidirect
111. C₃₁×#468	C₂²	semidirect
112. C₃₁×#468	C₂²	semidirect
113. C₃₁×#467	C₂²	semidirect
114. C₃₁×#466	C₂²	semidirect
115. C₃₁×#466	C₂²	semidirect
116. C₃₁×#466	C₂²	semidirect
117. C₃₁×#466	C₂²	semidirect
118. C₃₁×#466	C₂²	semidirect
119. C₃₁×#466	C₂²	semidirect
120. C₃₁×#466	C₂²	semidirect
121. C₃₁×#466	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×#463	C₂²	semidirect
130. C₃₁×#463	C₂²	semidirect
131. C₃₁×#460	C₂²	semidirect
132. C₃₁×#460	C₂²	semidirect
133. C₃₁×#459	C₂²	semidirect
134. C₃₁×#459	C₂²	semidirect
135. C₃₁×#459	C₂²	semidirect
136. C₃₁×#459	C₂²	semidirect
137. C₃₁×#452	C₂²	semidirect
138. C₃₁×#452	C₂²	semidirect
139. C₃₁×#452	C₂²	semidirect
140. C₃₁×#452	C₂²	semidirect
141. C₃₁×#451	C₂²	semidirect
142. C₃₁×#450	C₂²	semidirect
143. C₃₁×#450	C₂²	semidirect
144. C₃₁×#450	C₂²	semidirect
145. C₃₁×#450	C₂²	semidirect
147. C₃₁×#449	C₂²	semidirect
148. C₃₁×#449	C₂²	semidirect
149. C₃₁×#449	C₂²	semidirect
150. C₃₁×#449	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
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×#448	C₂²	semidirect
163. C₃₁×#447	C₂²	semidirect
164. C₃₁×#447	C₂²	semidirect
165. C₃₁×#447	C₂²	semidirect
166. C₃₁×#447	C₂²	semidirect
167. C₃₁×#447	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×#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×D₈×C₃₁	C₂²	semidirect
180. C₄×D₈×C₃₁	C₂²	semidirect
181. C₃₁×#435	C₂²	semidirect
182. C₃₁×#435	C₂²	semidirect
183. C₃₁×#435	C₂²	semidirect
184. C₃₁×#435	C₂²	semidirect
185. C₈×D₄×C₃₁	C₂²	semidirect
186. C₈×D₄×C₃₁	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×#418	C₂²	semidirect
192. C₃₁×#417	C₂²	semidirect
193. C₃₁×#416	C₂²	semidirect
194. C₃₁×#416	C₂²	semidirect
195. C₃₁×#416	C₂²	semidirect
196. C₂×C₃₁×#103	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. C₂×C₃₁×C₂²⋊C₈	C₂²	semidirect
202. C₂×C₃₁×C₂²⋊C₈	C₂²	semidirect
741. #61639	C₃₁	direct (N × H)
897. #3542	C₂×C₃₁	semidirect
898. #3488	C₂×C₃₁	semidirect
899. #3319	C₂×C₃₁	semidirect
900. #3310	C₂×C₃₁	semidirect
901. #3309	C₂×C₃₁	semidirect
902. #3308	C₂×C₃₁	semidirect
903. #3305	C₂×C₃₁	semidirect
904. #3300	C₂×C₃₁	semidirect
905. #3297	C₂×C₃₁	semidirect
906. #3294	C₂×C₃₁	semidirect
907. #3287	C₂×C₃₁	semidirect
908. #3282	C₂×C₃₁	semidirect
909. #3280	C₂×C₃₁	semidirect
910. D₄×D₈	C₂×C₃₁	semidirect
911. #3268	C₂×C₃₁	semidirect
912. #3268	C₂×C₃₁	semidirect
913. #3265	C₂×C₃₁	semidirect
914. #3264	C₂×C₃₁	semidirect
915. #3224	C₂×C₃₁	semidirect
916. #3220	C₂×C₃₁	semidirect
917. #3203	C₂×C₃₁	semidirect
918. #3198	C₂×C₃₁	semidirect
919. #3188	C₂×C₃₁	semidirect
920. #3186	C₂×C₃₁	semidirect
921. #3124	C₂×C₃₁	semidirect
922. #3119	C₂×C₃₁	semidirect
923. #3012	C₂×C₃₁	semidirect
924. #3008	C₂×C₃₁	semidirect
925. #3002	C₂×C₃₁	semidirect
926. C₂×#449	C₂×C₃₁	semidirect
927. #2977	C₂×C₃₁	semidirect
992. C₂×H(5,𝔽₂)	C₂²×C₃₁	semidirect
993. C₂²×#41	C₂²×C₃₁	semidirect
994. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
995. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
996. C₂×#135	C₂²×C₃₁	semidirect
997. C₂×#135	C₂²×C₃₁	semidirect
998. C₂×#135	C₂²×C₃₁	semidirect
999. C₂²×SD₁₆	C₂²×C₃₁	semidirect
1000. C₂²×D₈	C₂²×C₃₁	semidirect
1001. C₂²×D₈	C₂²×C₃₁	semidirect
1004. #555	C₂²×C₃₁	semidirect
1005. #553	C₂²×C₃₁	semidirect
1006. #552	C₂²×C₃₁	semidirect
1008. #550	C₂²×C₃₁	semidirect
1009. #550	C₂²×C₃₁	semidirect
1010. #550	C₂²×C₃₁	semidirect
1012. #548	C₂²×C₃₁	semidirect
1013. #547	C₂²×C₃₁	semidirect
1017. #546	C₂²×C₃₁	semidirect
1018. #546	C₂²×C₃₁	semidirect
1019. #546	C₂²×C₃₁	semidirect
1020. #546	C₂²×C₃₁	semidirect
1024. D₄²	C₂²×C₃₁	semidirect
1025. D₄²	C₂²×C₃₁	semidirect
1026. #542	C₂²×C₃₁	semidirect
1028. #540	C₂²×C₃₁	semidirect
1031. #537	C₂²×C₃₁	semidirect
1032. #537	C₂²×C₃₁	semidirect
1035. #535	C₂²×C₃₁	semidirect
1036. #535	C₂²×C₃₁	semidirect
1040. #525	C₂²×C₃₁	semidirect
1042. C₂×#121	C₂²×C₃₁	semidirect
1043. C₂×#121	C₂²×C₃₁	semidirect
1044. #520	C₂²×C₃₁	semidirect
1045. #496	C₂²×C₃₁	semidirect
1046. #496	C₂²×C₃₁	semidirect
1047. #495	C₂²×C₃₁	semidirect
1048. #493	C₂²×C₃₁	semidirect
1049. #490	C₂²×C₃₁	semidirect
1050. #489	C₂²×C₃₁	semidirect
1051. #488	C₂²×C₃₁	semidirect
1052. #486	C₂²×C₃₁	semidirect
1053. #485	C₂²×C₃₁	semidirect
1054. #484	C₂²×C₃₁	semidirect
1055. #484	C₂²×C₃₁	semidirect
1056. #482	C₂²×C₃₁	semidirect
1057. #482	C₂²×C₃₁	semidirect
1058. #482	C₂²×C₃₁	semidirect
1059. #481	C₂²×C₃₁	semidirect
1060. #480	C₂²×C₃₁	semidirect
1061. #480	C₂²×C₃₁	semidirect
1062. #480	C₂²×C₃₁	semidirect
1063. #480	C₂²×C₃₁	semidirect
1064. #480	C₂²×C₃₁	semidirect
1065. #479	C₂²×C₃₁	semidirect
1066. #478	C₂²×C₃₁	semidirect
1067. #477	C₂²×C₃₁	semidirect
1068. #474	C₂²×C₃₁	semidirect
1069. #469	C₂²×C₃₁	semidirect
1070. #468	C₂²×C₃₁	semidirect
1071. #468	C₂²×C₃₁	semidirect
1072. #468	C₂²×C₃₁	semidirect
1073. #467	C₂²×C₃₁	semidirect
1074. #466	C₂²×C₃₁	semidirect
1075. #466	C₂²×C₃₁	semidirect
1076. #466	C₂²×C₃₁	semidirect
1077. #466	C₂²×C₃₁	semidirect
1078. #466	C₂²×C₃₁	semidirect
1079. #466	C₂²×C₃₁	semidirect
1080. #466	C₂²×C₃₁	semidirect
1081. #466	C₂²×C₃₁	semidirect
1082. #465	C₂²×C₃₁	semidirect
1083. #465	C₂²×C₃₁	semidirect
1084. #465	C₂²×C₃₁	semidirect
1085. #464	C₂²×C₃₁	semidirect
1086. #464	C₂²×C₃₁	semidirect
1087. #463	C₂²×C₃₁	semidirect
1088. #463	C₂²×C₃₁	semidirect
1089. #463	C₂²×C₃₁	semidirect
1090. #463	C₂²×C₃₁	semidirect
1091. #460	C₂²×C₃₁	semidirect
1092. #460	C₂²×C₃₁	semidirect
1093. #459	C₂²×C₃₁	semidirect
1094. #459	C₂²×C₃₁	semidirect
1095. #459	C₂²×C₃₁	semidirect
1096. #459	C₂²×C₃₁	semidirect
1097. #452	C₂²×C₃₁	semidirect
1098. #452	C₂²×C₃₁	semidirect
1099. #452	C₂²×C₃₁	semidirect
1100. #452	C₂²×C₃₁	semidirect
1101. #451	C₂²×C₃₁	semidirect
1102. #450	C₂²×C₃₁	semidirect
1103. #450	C₂²×C₃₁	semidirect
1104. #450	C₂²×C₃₁	semidirect
1105. #450	C₂²×C₃₁	semidirect
1107. #449	C₂²×C₃₁	semidirect
1108. #449	C₂²×C₃₁	semidirect
1109. #449	C₂²×C₃₁	semidirect
1110. #449	C₂²×C₃₁	semidirect
1111. #449	C₂²×C₃₁	semidirect
1112. #449	C₂²×C₃₁	semidirect
1113. #449	C₂²×C₃₁	semidirect
1114. #449	C₂²×C₃₁	semidirect
1115. #449	C₂²×C₃₁	semidirect
1116. #449	C₂²×C₃₁	semidirect
1117. #449	C₂²×C₃₁	semidirect
1118. #449	C₂²×C₃₁	semidirect
1119. #449	C₂²×C₃₁	semidirect
1120. #449	C₂²×C₃₁	semidirect
1121. #449	C₂²×C₃₁	semidirect
1122. #448	C₂²×C₃₁	semidirect
1123. #447	C₂²×C₃₁	semidirect
1124. #447	C₂²×C₃₁	semidirect
1125. #447	C₂²×C₃₁	semidirect
1126. #447	C₂²×C₃₁	semidirect
1127. #447	C₂²×C₃₁	semidirect
1128. #447	C₂²×C₃₁	semidirect
1129. #447	C₂²×C₃₁	semidirect
1130. #447	C₂²×C₃₁	semidirect
1131. #447	C₂²×C₃₁	semidirect
1132. #447	C₂²×C₃₁	semidirect
1133. #442	C₂²×C₃₁	semidirect
1134. #440	C₂²×C₃₁	semidirect
1135. #440	C₂²×C₃₁	semidirect
1136. #440	C₂²×C₃₁	semidirect
1137. C₄×Q₁₆	C₂²×C₃₁	semidirect
1138. C₄×SD₁₆	C₂²×C₃₁	semidirect
1139. C₄×D₈	C₂²×C₃₁	semidirect
1140. C₄×D₈	C₂²×C₃₁	semidirect
1141. #435	C₂²×C₃₁	semidirect
1142. #435	C₂²×C₃₁	semidirect
1143. #435	C₂²×C₃₁	semidirect
1144. #435	C₂²×C₃₁	semidirect
1145. C₈×D₄	C₂²×C₃₁	semidirect
1146. C₈×D₄	C₂²×C₃₁	semidirect
1147. C₈×D₄	C₂²×C₃₁	semidirect
1148. C₈×D₄	C₂²×C₃₁	semidirect
1149. #433	C₂²×C₃₁	semidirect
1150. #433	C₂²×C₃₁	semidirect
1151. #418	C₂²×C₃₁	semidirect
1152. #417	C₂²×C₃₁	semidirect
1153. #416	C₂²×C₃₁	semidirect
1154. #416	C₂²×C₃₁	semidirect
1155. #416	C₂²×C₃₁	semidirect
1156. C₂×#103	C₂²×C₃₁	semidirect
1157. C₂×#102	C₂²×C₃₁	semidirect
1158. C₂×#102	C₂²×C₃₁	semidirect
1159. #408	C₂²×C₃₁	semidirect
1160. #408	C₂²×C₃₁	semidirect
1161. C₂×C₂²⋊C₈	C₂²×C₃₁	semidirect
1162. C₂×C₂²⋊C₈	C₂²×C₃₁	semidirect
1465. C₃₁	#61639	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×#3488	2
C₃₁×#3319	2
C₃₁×#3310	2
C₃₁×#3309	2
C₃₁×#3308	2
C₃₁×#3305	2
C₃₁×#3300	2
C₃₁×#3297	2
C₃₁×#3294	2
C₃₁×#3287	2
C₃₁×#3282	2
C₃₁×#3280	2
D₄×D₈×C₃₁	2
C₃₁×#3268	2
C₃₁×#3265	2
C₃₁×#3264	2
C₃₁×#3224	2
C₃₁×#3220	2
C₃₁×#3203	2
C₃₁×#3198	2
C₃₁×#3188	2
C₃₁×#3186	2
C₃₁×#3124	2
C₃₁×#3119	2
C₃₁×#3012	2
C₃₁×#3008	2
C₃₁×#3002	2
C₂×C₃₁×#449	2
C₃₁×#2977	2
#61639	31

Subgroups — C31×#61639 #21518398

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61639 #21518398