Subgroups — C₃₁×#61610 #21518369

Order 7936.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3541	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3484	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3324	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3323	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3318	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3314	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3311	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3310	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3297	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3295	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3282	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×SD₁₆×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3275	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3272	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3267	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3266	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3265	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3224	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3222	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3200	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3198	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3196	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3191	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3123	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3118	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3012	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#3009	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#3003	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₃₁×#450	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	C₂³×D₄×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	C₂²×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
40	C₂²×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
41	C₂²×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
42	C₃₁×#563	—	2	1	no	—
43	C₃₁×#562	—	2	1	no	—
44	C₃₁×#556	C₂²	1	1	yes	characteristic, complemented
45	C₃₁×#554	—	2	1	no	—
46	C₃₁×#554	C₂²	1	1	yes	characteristic, complemented
47	C₃₁×#553	—	2	1	no	—
48	C₃₁×#553	C₂²	1	1	yes	characteristic, complemented
49	C₃₁×#552	C₂²	1	1	yes	characteristic, complemented
50	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
51	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
52	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
53	C₃₁×#547	C₂²	1	1	yes	characteristic, complemented
54	C₃₁×#546	—	2	1	no	—
55	C₃₁×#546	—	2	1	no	—
56	C₃₁×#546	C₂²	1	1	yes	characteristic
57	C₃₁×#546	C₂²	1	1	yes	characteristic
58	C₃₁×#546	C₂²	1	1	yes	characteristic
59	C₃₁×#546	C₂²	1	1	yes	characteristic
60	D₄²×C₃₁	—	2	1	no	—
61	D₄²×C₃₁	—	2	1	no	—
62	D₄²×C₃₁	C₂²	1	1	yes	characteristic
63	D₄²×C₃₁	C₂²	1	1	yes	characteristic
64	D₄²×C₃₁	C₂²	1	1	yes	characteristic
65	D₄²×C₃₁	C₂²	1	1	yes	characteristic
66	C₃₁×#542	—	2	1	no	—
67	C₃₁×#542	C₂²	1	1	yes	characteristic, complemented
68	C₃₁×#541	C₂²	1	1	yes	characteristic, complemented
69	C₃₁×#539	—	2	1	no	—
70	C₃₁×#538	—	2	1	no	—
71	C₃₁×#538	—	2	1	no	—
72	C₃₁×#537	C₂²	1	1	yes	characteristic, complemented
73	C₃₁×#536	C₂²	1	1	yes	characteristic, complemented
74	C₃₁×#535	C₂²	1	1	yes	characteristic
75	C₃₁×#535	C₂²	1	1	yes	characteristic
76	C₃₁×#534	—	2	1	no	—
77	C₃₁×#534	—	2	1	no	—
78	C₃₁×#525	C₂²	1	1	yes	characteristic
79	C₃₁×#525	C₂²	1	1	yes	characteristic
80	C₃₁×#525	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₃₁×#120	—	2	1	no	—
83	C₂×C₃₁×#120	—	2	1	no	—
84	C₃₁×#518	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×#495	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×#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×#485	C₂²	1	1	yes	characteristic, complemented
95	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
96	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
97	C₃₁×#484	C₂²	1	1	yes	characteristic, complemented
98	C₃₁×#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×#482	C₂²	1	1	yes	characteristic, complemented
102	C₃₁×#481	C₂²	1	1	yes	characteristic, complemented
103	C₃₁×#481	C₂²	1	1	yes	characteristic, complemented
104	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
105	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
106	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#476	C₂²	1	1	yes	characteristic, complemented
108	C₃₁×#474	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
110	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
111	C₃₁×#469	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#468	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×#465	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×#464	C₂²	1	1	yes	characteristic, complemented
128	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
129	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
130	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
131	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
132	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
133	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
134	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
135	C₃₁×#460	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×#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×#451	C₂²	1	1	yes	characteristic, complemented
145	C₃₁×#450	C₂²	1	1	yes	characteristic
146	C₃₁×#450	C₂²	1	1	yes	characteristic
147	C₃₁×#450	C₂²	1	1	yes	characteristic
148	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
149	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
150	C₃₁×#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×#450	C₂²	1	1	yes	characteristic, complemented
154	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
155	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
156	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
157	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
158	C₃₁×#450	C₂²	1	1	yes	characteristic, complemented
159	C₃₁×#450	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×#448	C₂²	1	1	yes	characteristic, complemented
166	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
167	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
168	C₃₁×#447	C₂²	1	1	yes	characteristic
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×SD₁₆×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×#418	C₂²	1	1	yes	characteristic, complemented
192	C₃₁×#418	C₂²	1	1	yes	characteristic, complemented
193	C₃₁×#418	C₂²	1	1	yes	characteristic, complemented
194	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
195	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₃₁×#102	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	C₂⁵×C₃₁	—	2	1	no	—
204	C₃₁×H(5,𝔽₂)	—	4	2	no	—
205	C₃₁×H(5,𝔽₂)	—	4	2	no	—
206	C₂×#41×C₃₁	—	2	1	no	—
207	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
208	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
209	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
210	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
211	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
212	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic, complemented
213	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
214	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic, complemented
215	C₂²×D₄×C₃₁	—	2	1	no	—
216	C₂²×D₄×C₃₁	—	2	1	no	—
217	C₂²×D₄×C₃₁	—	2	1	no	—
218	C₂²×D₄×C₃₁	—	2	1	no	—
219	C₂²×D₄×C₃₁	—	2	1	no	—
220	C₂²×D₄×C₃₁	—	2	1	no	—
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	—	4	2	no	—
226	C₂²×D₄×C₃₁	—	4	2	no	—
227	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
228	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
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	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
234	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
235	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
236	C₃₁×#137	—	4	2	no	—
237	C₃₁×AGL(1,ℤ/8)	—	4	2	no	—
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	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic, complemented
242	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic, complemented
243	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic, complemented
244	C₂×SD₁₆×C₃₁	—	4	2	no	—
245	C₂×SD₁₆×C₃₁	—	4	2	no	—
246	C₂×SD₁₆×C₃₁	—	4	2	no	—
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×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic, complemented
260	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic, complemented
261	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic, complemented
262	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic, complemented
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, complemented
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, complemented
271	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic, complemented
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, complemented
275	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic, complemented
276	C₃₁×C₄⋊Q₈	—	2	1	no	—
277	C₃₁×C₄⋊Q₈	—	2	1	no	—
278	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
279	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
280	C₃₁×#127	—	2	1	no	—
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×#126	—	2	1	no	—
290	C₃₁×#125	—	2	1	no	—
291	C₃₁×#125	—	2	1	no	—
292	C₃₁×#125	—	2	1	no	—
293	C₃₁×#125	—	2	1	no	—
294	C₃₁×#125	C₂³	1	1	yes	characteristic, complemented
295	C₃₁×#124	—	2	1	no	—
296	C₃₁×#124	—	2	1	no	—
297	C₃₁×#124	—	2	1	no	—
298	C₃₁×#124	—	2	1	no	—
299	C₃₁×#124	—	2	1	no	—
300	C₃₁×#124	—	2	1	no	—
301	C₃₁×#124	C₂³	1	1	yes	characteristic
302	C₃₁×#124	C₂³	1	1	yes	characteristic
303	C₃₁×#124	C₂³	1	1	yes	characteristic, complemented
304	C₃₁×#123	—	2	1	no	—
305	C₃₁×#123	—	2	1	no	—
306	C₃₁×#123	—	2	1	no	—
307	C₃₁×#123	—	2	1	no	—
308	C₃₁×#123	—	2	1	no	—
309	C₃₁×#123	—	2	1	no	—
310	C₃₁×#123	—	2	1	no	—
311	C₃₁×#123	—	2	1	no	—
312	C₃₁×#123	—	2	1	no	—
313	C₃₁×#123	—	2	1	no	—
314	C₃₁×#123	—	2	1	no	—
315	C₃₁×#123	—	2	1	no	—
316	C₃₁×#123	—	2	1	no	—
317	C₃₁×#123	D₄	1	1	yes	characteristic
318	C₃₁×#123	D₄	1	1	yes	characteristic
319	C₃₁×C₂²⋊Q₈	—	2	1	no	—
320	C₃₁×C₂²⋊Q₈	—	2	1	no	—
321	C₃₁×C₂²⋊Q₈	—	2	1	no	—
322	C₃₁×C₂²⋊Q₈	—	2	1	no	—
323	C₃₁×C₂²⋊Q₈	—	2	1	no	—
324	C₃₁×C₂²⋊Q₈	—	2	1	no	—
325	C₃₁×C₂²⋊Q₈	—	2	1	no	—
326	C₃₁×C₂²⋊Q₈	—	2	1	no	—
327	C₃₁×C₂²⋊Q₈	—	2	1	no	—
328	C₃₁×C₂²⋊Q₈	—	2	1	no	—
329	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
330	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
331	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
332	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
333	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
334	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
335	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
336	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
337	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
338	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
339	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
340	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
341	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
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	D₄	1	1	yes	characteristic
360	C₃₁×#121	D₄	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, complemented
370	C₃₁×#120	—	2	1	no	—
371	C₃₁×#120	—	2	1	no	—
372	C₃₁×#120	—	2	1	no	—
373	C₃₁×#120	—	2	1	no	—
374	C₃₁×#120	—	2	1	no	—
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	D₄	1	1	yes	characteristic
389	C₃₁×#120	D₄	1	1	yes	characteristic
390	C₄×Q₈×C₃₁	—	2	1	no	—
391	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic, complemented
392	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic, complemented
393	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic, complemented
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	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, complemented
414	C₃₁×#117	—	2	1	no	—
415	C₃₁×#117	C₂³	1	1	yes	characteristic
416	C₃₁×#117	C₂³	1	1	yes	characteristic
417	C₃₁×#117	C₂³	1	1	yes	characteristic
418	C₃₁×#117	C₂³	1	1	yes	characteristic, complemented
419	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
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, complemented
423	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
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, complemented
431	C₃₁×#107	C₂³	1	1	yes	characteristic, complemented
432	C₃₁×#107	C₂³	1	1	yes	characteristic, complemented
433	C₃₁×#107	C₂³	1	1	yes	characteristic, complemented
434	C₃₁×#106	C₂³	1	1	yes	characteristic, complemented
435	C₃₁×#106	C₂³	1	1	yes	characteristic, complemented
436	C₃₁×#106	C₂³	1	1	yes	characteristic, complemented
437	C₃₁×#106	C₂³	1	1	yes	characteristic, complemented
438	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
439	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
440	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
441	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
442	C₃₁×#103	C₂³	1	1	yes	characteristic, complemented
443	C₃₁×#103	C₂³	1	1	yes	characteristic, complemented
444	C₃₁×#103	C₂³	1	1	yes	characteristic, complemented
445	C₃₁×#103	C₂³	1	1	yes	characteristic, complemented
446	C₃₁×#103	C₂³	1	1	yes	characteristic, complemented
447	C₃₁×#103	C₂³	1	1	yes	characteristic, complemented
448	C₃₁×#103	C₂³	1	1	yes	characteristic, complemented
449	C₃₁×#103	C₂³	1	1	yes	characteristic, complemented
450	C₃₁×#103	C₂³	1	1	yes	characteristic, complemented
451	C₃₁×#103	C₂³	1	1	yes	characteristic, complemented
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, complemented
469	C₃₁×#102	C₂³	1	1	yes	characteristic, complemented
470	C₃₁×#102	C₂³	1	1	yes	characteristic, complemented
471	C₃₁×#102	C₂³	1	1	yes	characteristic, complemented
472	C₃₁×#102	C₂³	1	1	yes	characteristic, complemented
473	C₃₁×#102	C₂³	1	1	yes	characteristic, complemented
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, complemented
483	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
484	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
485	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
486	C₃₁×#97	C₂³	1	1	yes	characteristic, complemented
487	C₃₁×#97	C₂³	1	1	yes	characteristic, complemented
488	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic, complemented
489	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic, complemented
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	—	2	1	no	—
497	C₂⁴×C₃₁	—	2	1	no	—
498	C₂⁴×C₃₁	—	4	4	no	—
499	C₂⁴×C₃₁	—	8	2	no	—
500	C₂⁴×C₃₁	—	8	2	no	—
501	C₂⁴×C₃₁	C₂×D₄	1	1	yes	characteristic
502	#41×C₃₁	—	2	2	no	—
503	#41×C₃₁	—	2	2	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	1	no	—
512	#41×C₃₁	—	4	1	no	—
513	#41×C₃₁	—	4	1	no	—
514	#41×C₃₁	—	4	4	no	—
515	C₂×Q₈×C₃₁	—	2	1	no	—
516	C₂×Q₈×C₃₁	—	2	1	no	—
517	C₂×Q₈×C₃₁	—	2	1	no	—
518	C₂×Q₈×C₃₁	—	4	1	no	—
519	C₂×Q₈×C₃₁	—	4	1	no	—
520	C₂×Q₈×C₃₁	—	4	1	no	—
521	C₂×Q₈×C₃₁	—	4	1	no	—
522	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
523	C₂×Q₈×C₃₁	C₂⁴	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	2	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	2	no	—
532	C₂×D₄×C₃₁	—	2	2	no	—
533	C₂×D₄×C₃₁	—	2	2	no	—
534	C₂×D₄×C₃₁	—	2	2	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	—	4	1	no	—
562	C₂×D₄×C₃₁	—	4	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	1	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	—	4	4	no	—
573	C₂×D₄×C₃₁	—	4	4	no	—
574	C₂×D₄×C₃₁	—	4	4	no	—
575	C₂×D₄×C₃₁	—	8	2	no	—
576	C₂×D₄×C₃₁	—	8	2	no	—
577	C₂×D₄×C₃₁	—	8	2	no	—
578	C₂×D₄×C₃₁	—	8	2	no	—
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	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
587	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
588	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
589	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
590	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
591	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
609	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
610	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
611	C₂²×C₄×C₃₁	C₂⁴	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	Q₁₆×C₃₁	—	4	1	no	—
617	Q₁₆×C₃₁	—	4	1	no	—
618	Q₁₆×C₃₁	—	4	1	no	—
619	SD₁₆×C₃₁	—	2	2	no	—
620	SD₁₆×C₃₁	—	2	2	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	SD₁₆×C₃₁	—	4	1	no	—
634	SD₁₆×C₃₁	—	4	1	no	—
635	D₈×C₃₁	—	2	2	no	—
636	D₈×C₃₁	—	2	2	no	—
637	D₈×C₃₁	—	4	1	no	—
638	D₈×C₃₁	—	4	1	no	—
639	D₈×C₃₁	—	4	1	no	—
640	M₁₆×C₃₁	—	4	1	no	—
641	M₁₆×C₃₁	—	4	1	no	—
642	M₁₆×C₃₁	—	4	1	no	—
643	M₁₆×C₃₁	—	4	1	no	—
644	C₂×C₈×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	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₃₁	—	2	1	no	—
657	C₄⋊C₄×C₃₁	—	2	1	no	—
658	C₄⋊C₄×C₃₁	—	2	1	no	—
659	C₄⋊C₄×C₃₁	—	2	1	no	—
660	C₄⋊C₄×C₃₁	—	2	1	no	—
661	C₄⋊C₄×C₃₁	—	2	1	no	—
662	C₄⋊C₄×C₃₁	—	2	1	no	—
663	C₄⋊C₄×C₃₁	—	2	1	no	—
664	C₄⋊C₄×C₃₁	—	2	1	no	—
665	C₄⋊C₄×C₃₁	—	2	1	no	—
666	C₄⋊C₄×C₃₁	—	2	1	no	—
667	C₄⋊C₄×C₃₁	—	2	1	no	—
668	C₄⋊C₄×C₃₁	—	2	1	no	—
669	C₄⋊C₄×C₃₁	—	2	1	no	—
670	C₄⋊C₄×C₃₁	—	2	1	no	—
671	C₄⋊C₄×C₃₁	—	2	1	no	—
672	C₄⋊C₄×C₃₁	—	2	1	no	—
673	C₄⋊C₄×C₃₁	—	2	1	no	—
674	C₄⋊C₄×C₃₁	—	2	1	no	—
675	C₄⋊C₄×C₃₁	—	2	1	no	—
676	C₄⋊C₄×C₃₁	—	2	1	no	—
677	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
678	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
679	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
680	C₄⋊C₄×C₃₁	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	C₂⁴	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	C₂²⋊C₄×C₃₁	—	2	1	no	—
690	C₂²⋊C₄×C₃₁	—	2	1	no	—
691	C₂²⋊C₄×C₃₁	—	2	1	no	—
692	C₂²⋊C₄×C₃₁	—	2	1	no	—
693	C₂²⋊C₄×C₃₁	—	2	1	no	—
694	C₂²⋊C₄×C₃₁	—	2	1	no	—
695	C₂²⋊C₄×C₃₁	—	2	1	no	—
696	C₂²⋊C₄×C₃₁	—	2	1	no	—
697	C₂²⋊C₄×C₃₁	—	2	1	no	—
698	C₂²⋊C₄×C₃₁	—	2	1	no	—
699	C₂²⋊C₄×C₃₁	—	2	1	no	—
700	C₂²⋊C₄×C₃₁	—	2	1	no	—
701	C₂²⋊C₄×C₃₁	—	2	1	no	—
702	C₂²⋊C₄×C₃₁	—	2	1	no	—
703	C₂²⋊C₄×C₃₁	—	2	1	no	—
704	C₂²⋊C₄×C₃₁	—	2	1	no	—
705	C₂²⋊C₄×C₃₁	—	2	1	no	—
706	C₂²⋊C₄×C₃₁	—	2	1	no	—
707	C₂²⋊C₄×C₃₁	—	2	1	no	—
708	C₂²⋊C₄×C₃₁	—	2	1	no	—
709	C₂²⋊C₄×C₃₁	—	2	1	no	—
710	C₂²⋊C₄×C₃₁	—	2	1	no	—
711	C₂²⋊C₄×C₃₁	—	2	1	no	—
712	C₂²⋊C₄×C₃₁	—	2	1	no	—
713	C₂²⋊C₄×C₃₁	—	2	1	no	—
714	C₂²⋊C₄×C₃₁	—	2	1	no	—
715	C₂²⋊C₄×C₃₁	—	2	1	no	—
716	C₂²⋊C₄×C₃₁	—	2	1	no	—
717	C₂²⋊C₄×C₃₁	—	2	1	no	—
718	C₂²⋊C₄×C₃₁	—	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	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	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	C₄²×C₃₁	—	2	1	no	—
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	#61610	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
742	C₂³×C₃₁	—	2	4	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	—	4	2	no	—
759	C₂³×C₃₁	—	4	2	no	—
760	C₂³×C₃₁	—	4	2	no	—
761	C₂³×C₃₁	—	4	2	no	—
762	C₂³×C₃₁	—	4	2	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	—	8	1	no	—
771	C₂³×C₃₁	—	8	1	no	—
772	C₂³×C₃₁	—	8	1	no	—
773	C₂³×C₃₁	—	8	1	no	—
774	C₂³×C₃₁	—	8	1	no	—
775	C₂³×C₃₁	—	8	16	no	—
776	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
777	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
778	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
779	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
780	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
781	Q₈×C₃₁	—	2	1	no	—
782	Q₈×C₃₁	—	2	1	no	—
783	Q₈×C₃₁	—	2	1	no	—
784	Q₈×C₃₁	—	2	1	no	—
785	Q₈×C₃₁	—	2	1	no	—
786	Q₈×C₃₁	—	2	1	no	—
787	Q₈×C₃₁	—	2	1	no	—
788	Q₈×C₃₁	—	2	1	no	—
789	Q₈×C₃₁	—	4	1	no	—
790	Q₈×C₃₁	—	8	1	no	—
791	Q₈×C₃₁	—	8	1	no	—
792	Q₈×C₃₁	—	8	1	no	—
793	D₄×C₃₁	—	2	4	no	—
794	D₄×C₃₁	—	2	2	no	—
795	D₄×C₃₁	—	2	2	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	—	2	1	no	—
801	D₄×C₃₁	—	2	1	no	—
802	D₄×C₃₁	—	2	1	no	—
803	D₄×C₃₁	—	2	1	no	—
804	D₄×C₃₁	—	2	1	no	—
805	D₄×C₃₁	—	2	1	no	—
806	D₄×C₃₁	—	4	1	no	—
807	D₄×C₃₁	—	4	1	no	—
808	D₄×C₃₁	—	4	1	no	—
809	D₄×C₃₁	—	4	1	no	—
810	D₄×C₃₁	—	4	1	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	—	4	2	no	—
818	D₄×C₃₁	—	4	2	no	—
819	D₄×C₃₁	—	4	2	no	—
820	D₄×C₃₁	—	4	2	no	—
821	D₄×C₃₁	—	4	2	no	—
822	D₄×C₃₁	—	4	2	no	—
823	D₄×C₃₁	—	4	2	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	H(5,𝔽₂)	1	2	yes	—
837	D₄×C₃₁	H(5,𝔽₂)	1	2	yes	—
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	—	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	—	4	1	no	—
859	C₂×C₄×C₃₁	—	4	1	no	—
860	C₂×C₄×C₃₁	—	4	1	no	—
861	C₂×C₄×C₃₁	—	4	2	no	—
862	C₂×C₄×C₃₁	—	4	2	no	—
863	C₂×C₄×C₃₁	—	4	2	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	—	8	1	no	—
868	C₂×C₄×C₃₁	—	8	1	no	—
869	C₂×C₄×C₃₁	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
876	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
877	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
878	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
885	C₈×C₃₁	—	2	1	no	—
886	C₈×C₃₁	—	2	1	no	—
887	C₈×C₃₁	—	2	1	no	—
888	C₈×C₃₁	—	2	1	no	—
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	#3541	C₂×C₃₁	1	1	yes	characteristic, complemented
894	#3484	C₂×C₃₁	1	1	yes	characteristic, complemented
895	#3324	C₂×C₃₁	1	1	yes	characteristic, complemented
896	#3323	C₂×C₃₁	1	1	yes	characteristic, complemented
897	#3318	C₂×C₃₁	1	1	yes	characteristic, complemented
898	#3314	C₂×C₃₁	1	1	yes	characteristic, complemented
899	#3311	C₂×C₃₁	1	1	yes	characteristic, complemented
900	#3310	C₂×C₃₁	1	1	yes	characteristic, complemented
901	#3297	C₂×C₃₁	1	1	yes	characteristic, complemented
902	#3295	C₂×C₃₁	1	1	yes	characteristic, complemented
903	#3282	C₂×C₃₁	1	1	yes	characteristic, complemented
904	D₄×SD₁₆	C₂×C₃₁	1	1	yes	characteristic, complemented
905	#3275	C₂×C₃₁	1	1	yes	characteristic, complemented
906	#3272	C₂×C₃₁	1	1	yes	characteristic, complemented
907	#3267	C₂×C₃₁	1	1	yes	characteristic, complemented
908	#3266	C₂×C₃₁	1	1	yes	characteristic, complemented
909	#3265	C₂×C₃₁	1	1	yes	characteristic, complemented
910	#3265	C₂×C₃₁	1	1	yes	characteristic, complemented
911	#3224	C₂×C₃₁	1	1	yes	characteristic, complemented
912	#3222	C₂×C₃₁	1	1	yes	characteristic, complemented
913	#3200	C₂×C₃₁	1	1	yes	characteristic, complemented
914	#3198	C₂×C₃₁	1	1	yes	characteristic, complemented
915	#3196	C₂×C₃₁	1	1	yes	characteristic, complemented
916	#3191	C₂×C₃₁	1	1	yes	characteristic, complemented
917	#3123	C₂×C₃₁	1	1	yes	characteristic, complemented
918	#3118	C₂×C₃₁	1	1	yes	characteristic, complemented
919	#3012	C₂×C₃₁	1	1	yes	characteristic, complemented
920	#3009	C₂×C₃₁	1	1	yes	characteristic, complemented
921	#3003	C₂×C₃₁	1	1	yes	characteristic, complemented
922	C₂×#450	C₂×C₃₁	1	1	yes	characteristic, complemented
923	#2976	C₂×C₃₁	1	1	yes	characteristic, complemented
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	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	2	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	—	4	4	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	—	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	—	8	4	no	—
958	C₂²×C₃₁	—	8	4	no	—
959	C₂²×C₃₁	—	8	4	no	—
960	C₂²×C₃₁	—	8	4	no	—
961	C₂²×C₃₁	—	8	4	no	—
962	C₂²×C₃₁	—	8	4	no	—
963	C₂²×C₃₁	—	16	2	no	—
964	C₂²×C₃₁	—	16	2	no	—
965	C₂²×C₃₁	#577	1	2	yes	—
966	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
967	C₄×C₃₁	—	2	1	no	—
968	C₄×C₃₁	—	2	1	no	—
969	C₄×C₃₁	—	2	1	no	—
970	C₄×C₃₁	—	2	1	no	—
971	C₄×C₃₁	—	2	1	no	—
972	C₄×C₃₁	—	2	1	no	—
973	C₄×C₃₁	—	2	1	no	—
974	C₄×C₃₁	—	2	1	no	—
975	C₄×C₃₁	—	2	1	no	—
976	C₄×C₃₁	—	4	1	no	—
977	C₄×C₃₁	—	4	1	no	—
978	C₄×C₃₁	—	4	1	no	—
979	C₄×C₃₁	—	4	1	no	—
980	C₄×C₃₁	—	4	1	no	—
981	C₄×C₃₁	—	4	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	C₂×H(5,𝔽₂)	1	1	yes	characteristic
987	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
988	C₂×H(5,𝔽₂)	C₂²×C₃₁	1	1	yes	characteristic
989	C₂³×D₄	C₂²×C₃₁	1	1	yes	characteristic
990	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic, complemented
991	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
992	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
993	C₂×AGL(1,ℤ/8)	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic, complemented
995	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
996	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
997	C₂²×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
998	#563	—	2	1	no	—
999	#562	—	2	1	no	—
1000	#556	C₂²×C₃₁	1	1	yes	characteristic, complemented
1001	#554	—	2	1	no	—
1002	#554	C₂²×C₃₁	1	1	yes	characteristic, complemented
1003	#553	—	2	1	no	—
1004	#553	C₂²×C₃₁	1	1	yes	characteristic, complemented
1005	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
1006	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1007	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
1008	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
1009	#547	C₂²×C₃₁	1	1	yes	characteristic, complemented
1010	#546	—	2	1	no	—
1011	#546	—	2	1	no	—
1012	#546	C₂²×C₃₁	1	1	yes	characteristic
1013	#546	C₂²×C₃₁	1	1	yes	characteristic
1014	#546	C₂²×C₃₁	1	1	yes	characteristic
1015	#546	C₂²×C₃₁	1	1	yes	characteristic
1016	D₄²	—	2	1	no	—
1017	D₄²	—	2	1	no	—
1018	D₄²	C₂²×C₃₁	1	1	yes	characteristic
1019	D₄²	C₂²×C₃₁	1	1	yes	characteristic
1020	D₄²	C₂²×C₃₁	1	1	yes	characteristic
1021	D₄²	C₂²×C₃₁	1	1	yes	characteristic
1022	#542	—	2	1	no	—
1023	#542	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	#541	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	#539	—	2	1	no	—
1026	#538	—	2	1	no	—
1027	#538	—	2	1	no	—
1028	#537	C₂²×C₃₁	1	1	yes	characteristic, complemented
1029	#536	C₂²×C₃₁	1	1	yes	characteristic, complemented
1030	#535	C₂²×C₃₁	1	1	yes	characteristic
1031	#535	C₂²×C₃₁	1	1	yes	characteristic
1032	#534	—	2	1	no	—
1033	#534	—	2	1	no	—
1034	#525	C₂²×C₃₁	1	1	yes	characteristic
1035	#525	C₂²×C₃₁	1	1	yes	characteristic
1036	#525	C₂²×C₃₁	1	1	yes	characteristic, complemented
1037	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1038	C₂×#120	—	2	1	no	—
1039	C₂×#120	—	2	1	no	—
1040	#518	C₂²×C₃₁	1	1	yes	characteristic
1041	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
1042	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
1043	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
1044	#492	C₂²×C₃₁	1	1	yes	characteristic, complemented
1045	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
1046	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
1048	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
1049	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
1050	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
1051	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
1052	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
1053	#484	C₂²×C₃₁	1	1	yes	characteristic, complemented
1054	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1055	#482	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	#481	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	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
1062	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
1063	#476	C₂²×C₃₁	1	1	yes	characteristic, complemented
1064	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
1065	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
1066	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
1067	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
1068	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1069	#468	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	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1077	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1078	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1079	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1080	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1081	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1082	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1083	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1084	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1085	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1086	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1087	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1088	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
1089	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1090	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1091	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1092	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1093	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1094	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1095	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1096	#452	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	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1101	#450	C₂²×C₃₁	1	1	yes	characteristic
1102	#450	C₂²×C₃₁	1	1	yes	characteristic
1103	#450	C₂²×C₃₁	1	1	yes	characteristic
1104	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1105	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1106	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1107	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1108	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1109	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1110	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1111	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1112	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1113	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1114	#450	C₂²×C₃₁	1	1	yes	characteristic, complemented
1115	#450	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	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1122	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1123	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1124	#447	C₂²×C₃₁	1	1	yes	characteristic
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	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1130	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1131	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1132	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1133	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1134	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1135	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1136	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1137	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1138	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1139	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1140	#435	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	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1144	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1145	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1146	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1147	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1148	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1149	#418	C₂²×C₃₁	1	1	yes	characteristic, complemented
1150	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1151	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1152	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1153	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1154	C₂×#102	C₂²×C₃₁	1	1	yes	characteristic, complemented
1155	#408	C₂²×C₃₁	1	1	yes	characteristic, complemented
1156	#408	C₂²×C₃₁	1	1	yes	characteristic, complemented
1157	#407	C₂²×C₃₁	1	1	yes	characteristic, complemented
1158	C₂×C₂²⋊C₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1159	C₂×C₃₁	—	2	2	no	—
1160	C₂×C₃₁	—	4	1	no	—
1161	C₂×C₃₁	—	4	1	no	—
1162	C₂×C₃₁	—	4	1	no	—
1163	C₂×C₃₁	—	4	1	no	—
1164	C₂×C₃₁	—	4	2	no	—
1165	C₂×C₃₁	—	4	2	no	—
1166	C₂×C₃₁	—	8	1	no	—
1167	C₂×C₃₁	—	8	1	no	—
1168	C₂×C₃₁	—	8	1	no	—
1169	C₂×C₃₁	—	8	1	no	—
1170	C₂×C₃₁	#3484	1	1	yes	characteristic
1171	C₂×C₃₁	C₂×#577	1	1	yes	characteristic
1172	C₂×C₃₁	#3585	1	1	yes	characteristic
1173	C₂⁵	—	2	1	no	—
1174	H(5,𝔽₂)	—	4	2	no	—
1175	H(5,𝔽₂)	—	4	2	no	—
1176	C₂×#41	—	2	1	no	—
1177	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1178	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1179	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1180	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1181	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1182	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic, complemented
1183	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1184	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1185	C₂²×D₄	—	2	1	no	—
1186	C₂²×D₄	—	2	1	no	—
1187	C₂²×D₄	—	2	1	no	—
1188	C₂²×D₄	—	2	1	no	—
1189	C₂²×D₄	—	2	1	no	—
1190	C₂²×D₄	—	2	1	no	—
1191	C₂²×D₄	—	2	1	no	—
1192	C₂²×D₄	—	2	1	no	—
1193	C₂²×D₄	—	2	1	no	—
1194	C₂²×D₄	—	2	1	no	—
1195	C₂²×D₄	—	4	2	no	—
1196	C₂²×D₄	—	4	2	no	—
1197	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1198	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1199	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1200	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1201	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1202	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1203	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1204	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1205	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1206	#137	—	4	2	no	—
1207	AGL(1,ℤ/8)	—	4	2	no	—
1208	AGL(1,ℤ/8)	—	4	2	no	—
1209	AGL(1,ℤ/8)	—	4	2	no	—
1210	#135	—	4	2	no	—
1211	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic, complemented
1212	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic, complemented
1213	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic, complemented
1214	C₂×SD₁₆	—	4	2	no	—
1215	C₂×SD₁₆	—	4	2	no	—
1216	C₂×SD₁₆	—	4	2	no	—
1217	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1218	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1219	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1220	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
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, complemented
1230	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic, complemented
1231	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic, complemented
1232	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic, complemented
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, complemented
1238	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1239	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1240	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic, complemented
1241	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic, complemented
1242	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1243	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1244	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1245	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1246	C₄⋊Q₈	—	2	1	no	—
1247	C₄⋊Q₈	—	2	1	no	—
1248	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1249	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1250	#127	—	2	1	no	—
1251	#127	C₂³×C₃₁	1	1	yes	characteristic
1252	#127	C₂³×C₃₁	1	1	yes	characteristic
1253	#126	—	2	1	no	—
1254	#126	—	2	1	no	—
1255	#126	—	2	1	no	—
1256	#126	—	2	1	no	—
1257	#126	—	2	1	no	—
1258	#126	—	2	1	no	—
1259	#126	—	2	1	no	—
1260	#125	—	2	1	no	—
1261	#125	—	2	1	no	—
1262	#125	—	2	1	no	—
1263	#125	—	2	1	no	—
1264	#125	C₂³×C₃₁	1	1	yes	characteristic, complemented
1265	#124	—	2	1	no	—
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	C₂³×C₃₁	1	1	yes	characteristic
1272	#124	C₂³×C₃₁	1	1	yes	characteristic
1273	#124	C₂³×C₃₁	1	1	yes	characteristic, complemented
1274	#123	—	2	1	no	—
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	—	2	1	no	—
1296	C₂²⋊Q₈	—	2	1	no	—
1297	C₂²⋊Q₈	—	2	1	no	—
1298	C₂²⋊Q₈	—	2	1	no	—
1299	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1300	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1301	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1302	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1303	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1304	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1305	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1306	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1307	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1308	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1309	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1310	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1311	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
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	D₄×C₃₁	1	1	yes	characteristic
1330	#121	D₄×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	#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, complemented
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	—	2	1	no	—
1346	#120	—	2	1	no	—
1347	#120	—	2	1	no	—
1348	#120	—	2	1	no	—
1349	#120	—	2	1	no	—
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	D₄×C₃₁	1	1	yes	characteristic
1359	#120	D₄×C₃₁	1	1	yes	characteristic
1360	C₄×Q₈	—	2	1	no	—
1361	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1362	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1363	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1364	C₄×D₄	—	2	1	no	—
1365	C₄×D₄	—	2	1	no	—
1366	C₄×D₄	—	2	1	no	—
1367	C₄×D₄	—	2	1	no	—
1368	C₄×D₄	—	2	1	no	—
1369	C₄×D₄	—	2	1	no	—
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	C₂³×C₃₁	1	1	yes	characteristic
1376	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1377	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1378	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1379	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
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, complemented
1384	#117	—	2	1	no	—
1385	#117	C₂³×C₃₁	1	1	yes	characteristic
1386	#117	C₂³×C₃₁	1	1	yes	characteristic
1387	#117	C₂³×C₃₁	1	1	yes	characteristic
1388	#117	C₂³×C₃₁	1	1	yes	characteristic, complemented
1389	C₂×C₄⋊C₄	—	2	1	no	—
1390	C₂×C₄⋊C₄	—	2	1	no	—
1391	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1392	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic, complemented
1393	C₂×C₂²⋊C₄	—	2	1	no	—
1394	C₂×C₂²⋊C₄	—	2	1	no	—
1395	C₂×C₂²⋊C₄	—	2	1	no	—
1396	C₂×C₂²⋊C₄	—	2	1	no	—
1397	C₂×C₂²⋊C₄	—	2	1	no	—
1398	C₂×C₂²⋊C₄	—	2	1	no	—
1399	C₂×C₂²⋊C₄	—	2	1	no	—
1400	#107	C₂³×C₃₁	1	1	yes	characteristic, complemented
1401	#107	C₂³×C₃₁	1	1	yes	characteristic, complemented
1402	#107	C₂³×C₃₁	1	1	yes	characteristic, complemented
1403	#107	C₂³×C₃₁	1	1	yes	characteristic, complemented
1404	#106	C₂³×C₃₁	1	1	yes	characteristic, complemented
1405	#106	C₂³×C₃₁	1	1	yes	characteristic, complemented
1406	#106	C₂³×C₃₁	1	1	yes	characteristic, complemented
1407	#106	C₂³×C₃₁	1	1	yes	characteristic, complemented
1408	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1409	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1410	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1411	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1412	#103	C₂³×C₃₁	1	1	yes	characteristic, complemented
1413	#103	C₂³×C₃₁	1	1	yes	characteristic, complemented
1414	#103	C₂³×C₃₁	1	1	yes	characteristic, complemented
1415	#103	C₂³×C₃₁	1	1	yes	characteristic, complemented
1416	#103	C₂³×C₃₁	1	1	yes	characteristic, complemented
1417	#103	C₂³×C₃₁	1	1	yes	characteristic, complemented
1418	#103	C₂³×C₃₁	1	1	yes	characteristic, complemented
1419	#103	C₂³×C₃₁	1	1	yes	characteristic, complemented
1420	#103	C₂³×C₃₁	1	1	yes	characteristic, complemented
1421	#103	C₂³×C₃₁	1	1	yes	characteristic, complemented
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	#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, complemented
1439	#102	C₂³×C₃₁	1	1	yes	characteristic, complemented
1440	#102	C₂³×C₃₁	1	1	yes	characteristic, complemented
1441	#102	C₂³×C₃₁	1	1	yes	characteristic, complemented
1442	#102	C₂³×C₃₁	1	1	yes	characteristic, complemented
1443	#102	C₂³×C₃₁	1	1	yes	characteristic, complemented
1444	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1445	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1446	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1447	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1448	C₂²⋊C₈	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, complemented
1453	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1454	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1455	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1456	#97	C₂³×C₃₁	1	1	yes	characteristic, complemented
1457	#97	C₂³×C₃₁	1	1	yes	characteristic, complemented
1458	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1459	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic, complemented
1460	C₃₁	#61610	1	1	yes	characteristic, direct product factor, Sylow
1461	C₂⁴	—	2	1	no	—
1462	C₂⁴	—	2	1	no	—
1463	C₂⁴	—	2	1	no	—
1464	C₂⁴	—	2	1	no	—
1465	C₂⁴	—	2	1	no	—
1466	C₂⁴	—	2	1	no	—
1467	C₂⁴	—	2	1	no	—
1468	C₂⁴	—	2	1	no	—
1469	C₂⁴	—	4	4	no	—
1470	C₂⁴	—	8	2	no	—
1471	C₂⁴	—	8	2	no	—
1472	C₂⁴	C₂×D₄×C₃₁	1	1	yes	characteristic
1473	#41	—	2	2	no	—
1474	#41	—	2	2	no	—
1475	#41	—	4	1	no	—
1476	#41	—	4	1	no	—
1477	#41	—	4	1	no	—
1478	#41	—	4	1	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	4	no	—
1486	C₂×Q₈	—	2	1	no	—
1487	C₂×Q₈	—	2	1	no	—
1488	C₂×Q₈	—	2	1	no	—
1489	C₂×Q₈	—	4	1	no	—
1490	C₂×Q₈	—	4	1	no	—
1491	C₂×Q₈	—	4	1	no	—
1492	C₂×Q₈	—	4	1	no	—
1493	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1494	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1495	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1496	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1497	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1498	C₂×D₄	—	2	2	no	—
1499	C₂×D₄	—	2	2	no	—
1500	C₂×D₄	—	2	2	no	—
1501	C₂×D₄	—	2	2	no	—
1502	C₂×D₄	—	2	2	no	—
1503	C₂×D₄	—	2	2	no	—
1504	C₂×D₄	—	2	2	no	—
1505	C₂×D₄	—	2	2	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	—	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	—	4	1	no	—
1533	C₂×D₄	—	4	1	no	—
1534	C₂×D₄	—	4	1	no	—
1535	C₂×D₄	—	4	1	no	—
1536	C₂×D₄	—	4	1	no	—
1537	C₂×D₄	—	4	1	no	—
1538	C₂×D₄	—	4	1	no	—
1539	C₂×D₄	—	4	1	no	—
1540	C₂×D₄	—	4	4	no	—
1541	C₂×D₄	—	4	4	no	—
1542	C₂×D₄	—	4	4	no	—
1543	C₂×D₄	—	4	4	no	—
1544	C₂×D₄	—	4	4	no	—
1545	C₂×D₄	—	4	4	no	—
1546	C₂×D₄	—	8	2	no	—
1547	C₂×D₄	—	8	2	no	—
1548	C₂×D₄	—	8	2	no	—
1549	C₂×D₄	—	8	2	no	—
1550	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1551	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1552	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1553	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1554	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1555	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1556	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1557	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1558	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1559	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1560	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1561	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1562	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1563	C₂²×C₄	—	2	1	no	—
1564	C₂²×C₄	—	2	1	no	—
1565	C₂²×C₄	—	2	1	no	—
1566	C₂²×C₄	—	2	1	no	—
1567	C₂²×C₄	—	2	1	no	—
1568	C₂²×C₄	—	2	1	no	—
1569	C₂²×C₄	—	2	1	no	—
1570	C₂²×C₄	—	2	1	no	—
1571	C₂²×C₄	—	2	1	no	—
1572	C₂²×C₄	—	2	1	no	—
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	—	4	1	no	—
1578	C₂²×C₄	—	4	1	no	—
1579	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1580	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1581	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1582	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1583	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1584	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1585	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1586	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1587	Q₁₆	—	4	1	no	—
1588	Q₁₆	—	4	1	no	—
1589	Q₁₆	—	4	1	no	—
1590	SD₁₆	—	2	2	no	—
1591	SD₁₆	—	2	2	no	—
1592	SD₁₆	—	2	2	no	—
1593	SD₁₆	—	2	2	no	—
1594	SD₁₆	—	2	2	no	—
1595	SD₁₆	—	2	2	no	—
1596	SD₁₆	—	4	1	no	—
1597	SD₁₆	—	4	1	no	—
1598	SD₁₆	—	4	1	no	—
1599	SD₁₆	—	4	1	no	—
1600	SD₁₆	—	4	1	no	—
1601	SD₁₆	—	4	1	no	—
1602	SD₁₆	—	4	1	no	—
1603	SD₁₆	—	4	1	no	—
1604	SD₁₆	—	4	1	no	—
1605	SD₁₆	—	4	1	no	—
1606	D₈	—	2	2	no	—
1607	D₈	—	2	2	no	—
1608	D₈	—	4	1	no	—
1609	D₈	—	4	1	no	—
1610	D₈	—	4	1	no	—
1611	M₁₆	—	4	1	no	—
1612	M₁₆	—	4	1	no	—
1613	M₁₆	—	4	1	no	—
1614	M₁₆	—	4	1	no	—
1615	C₂×C₈	—	4	1	no	—
1616	C₂×C₈	—	4	1	no	—
1617	C₂×C₈	—	4	1	no	—
1618	C₂×C₈	—	4	1	no	—
1619	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1620	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1621	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1622	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1623	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1624	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1625	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1626	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
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	—	2	1	no	—
1638	C₄⋊C₄	—	2	1	no	—
1639	C₄⋊C₄	—	2	1	no	—
1640	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₃₁	1	1	yes	characteristic
1649	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1650	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1651	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1652	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1653	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1654	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1655	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1656	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1657	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1658	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1659	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
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	—	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	C₂×D₄×C₃₁	1	1	yes	characteristic
1695	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1696	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1697	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1698	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1699	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
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	C₄²	—	2	1	no	—
1705	C₄²	—	2	1	no	—
1706	C₄²	—	2	1	no	—
1707	C₄²	—	2	1	no	—
1708	C₄²	—	2	1	no	—
1709	C₄²	—	2	1	no	—
1710	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1711	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1712	C₂³	—	2	4	no	—
1713	C₂³	—	2	2	no	—
1714	C₂³	—	2	1	no	—
1715	C₂³	—	2	1	no	—
1716	C₂³	—	2	1	no	—
1717	C₂³	—	2	1	no	—
1718	C₂³	—	2	1	no	—
1719	C₂³	—	2	1	no	—
1720	C₂³	—	4	1	no	—
1721	C₂³	—	4	1	no	—
1722	C₂³	—	4	2	no	—
1723	C₂³	—	4	2	no	—
1724	C₂³	—	4	2	no	—
1725	C₂³	—	4	2	no	—
1726	C₂³	—	4	2	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	—	8	16	no	—
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	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1751	Q₈	—	2	1	no	—
1752	Q₈	—	2	1	no	—
1753	Q₈	—	2	1	no	—
1754	Q₈	—	2	1	no	—
1755	Q₈	—	2	1	no	—
1756	Q₈	—	2	1	no	—
1757	Q₈	—	2	1	no	—
1758	Q₈	—	2	1	no	—
1759	Q₈	—	4	1	no	—
1760	Q₈	—	8	1	no	—
1761	Q₈	—	8	1	no	—
1762	Q₈	—	8	1	no	—
1763	D₄	—	2	4	no	—
1764	D₄	—	2	2	no	—
1765	D₄	—	2	2	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	—	2	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	1	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	—	4	2	no	—
1793	D₄	—	4	2	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	C₃₁×H(5,𝔽₂)	1	2	yes	—
1807	D₄	C₃₁×H(5,𝔽₂)	1	2	yes	—
1808	C₂×C₄	—	2	1	no	—
1809	C₂×C₄	—	2	1	no	—
1810	C₂×C₄	—	2	1	no	—
1811	C₂×C₄	—	2	1	no	—
1812	C₂×C₄	—	2	1	no	—
1813	C₂×C₄	—	2	1	no	—
1814	C₂×C₄	—	2	1	no	—
1815	C₂×C₄	—	2	1	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	—	4	1	no	—
1829	C₂×C₄	—	4	1	no	—
1830	C₂×C₄	—	4	1	no	—
1831	C₂×C₄	—	4	2	no	—
1832	C₂×C₄	—	4	2	no	—
1833	C₂×C₄	—	4	2	no	—
1834	C₂×C₄	—	8	1	no	—
1835	C₂×C₄	—	8	1	no	—
1836	C₂×C₄	—	8	1	no	—
1837	C₂×C₄	—	8	1	no	—
1838	C₂×C₄	—	8	1	no	—
1839	C₂×C₄	—	8	1	no	—
1840	C₂×C₄	—	8	1	no	—
1841	C₂×C₄	—	8	1	no	—
1842	C₂×C₄	—	8	1	no	—
1843	C₂×C₄	—	8	1	no	—
1844	C₂×C₄	—	8	1	no	—
1845	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1846	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1847	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1848	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1849	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1850	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1851	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1852	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1853	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1854	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1855	C₈	—	2	1	no	—
1856	C₈	—	2	1	no	—
1857	C₈	—	2	1	no	—
1858	C₈	—	2	1	no	—
1859	C₈	—	2	1	no	—
1860	C₈	—	2	1	no	—
1861	C₈	—	2	1	no	—
1862	C₈	—	2	1	no	—
1863	C₂²	—	2	1	no	—
1864	C₂²	—	2	1	no	—
1865	C₂²	—	2	1	no	—
1866	C₂²	—	2	1	no	—
1867	C₂²	—	2	1	no	—
1868	C₂²	—	2	1	no	—
1869	C₂²	—	2	2	no	—
1870	C₂²	—	2	2	no	—
1871	C₂²	—	2	1	no	—
1872	C₂²	—	2	1	no	—
1873	C₂²	—	2	1	no	—
1874	C₂²	—	2	1	no	—
1875	C₂²	—	2	1	no	—
1876	C₂²	—	2	1	no	—
1877	C₂²	—	2	1	no	—
1878	C₂²	—	2	1	no	—
1879	C₂²	—	4	4	no	—
1880	C₂²	—	4	1	no	—
1881	C₂²	—	4	1	no	—
1882	C₂²	—	4	1	no	—
1883	C₂²	—	4	1	no	—
1884	C₂²	—	4	1	no	—
1885	C₂²	—	4	1	no	—
1886	C₂²	—	4	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	—	8	4	no	—
1897	C₂²	—	8	4	no	—
1898	C₂²	—	8	4	no	—
1899	C₂²	—	8	4	no	—
1900	C₂²	—	8	4	no	—
1901	C₂²	—	8	4	no	—
1902	C₂²	—	16	2	no	—
1903	C₂²	—	16	2	no	—
1904	C₂²	C₃₁×#577	1	2	yes	—
1905	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1906	C₄	—	2	1	no	—
1907	C₄	—	2	1	no	—
1908	C₄	—	2	1	no	—
1909	C₄	—	2	1	no	—
1910	C₄	—	2	1	no	—
1911	C₄	—	2	1	no	—
1912	C₄	—	2	1	no	—
1913	C₄	—	2	1	no	—
1914	C₄	—	2	1	no	—
1915	C₄	—	4	1	no	—
1916	C₄	—	4	1	no	—
1917	C₄	—	4	1	no	—
1918	C₄	—	4	1	no	—
1919	C₄	—	4	1	no	—
1920	C₄	—	4	1	no	—
1921	C₄	—	4	1	no	—
1922	C₄	—	4	1	no	—
1923	C₄	—	4	1	no	—
1924	C₄	—	4	1	no	—
1925	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1926	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1927	C₂	—	2	2	no	—
1928	C₂	—	4	1	no	—
1929	C₂	—	4	1	no	—
1930	C₂	—	4	1	no	—
1931	C₂	—	4	1	no	—
1932	C₂	—	4	2	no	—
1933	C₂	—	4	2	no	—
1934	C₂	—	8	1	no	—
1935	C₂	—	8	1	no	—
1936	C₂	—	8	1	no	—
1937	C₂	—	8	1	no	—
1938	C₂	C₃₁×#3484	1	1	yes	characteristic
1939	C₂	C₂×C₃₁×#577	1	1	yes	characteristic
1940	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×#3541	C₂	semidirect
2. C₃₁×#3484	C₂	semidirect
3. C₃₁×#3324	C₂	semidirect
4. C₃₁×#3323	C₂	semidirect
5. C₃₁×#3318	C₂	semidirect
6. C₃₁×#3314	C₂	semidirect
7. C₃₁×#3311	C₂	semidirect
8. C₃₁×#3310	C₂	semidirect
9. C₃₁×#3297	C₂	semidirect
10. C₃₁×#3295	C₂	semidirect
11. C₃₁×#3282	C₂	semidirect
12. D₄×SD₁₆×C₃₁	C₂	semidirect
13. C₃₁×#3275	C₂	semidirect
14. C₃₁×#3272	C₂	semidirect
15. C₃₁×#3267	C₂	semidirect
16. C₃₁×#3266	C₂	semidirect
17. C₃₁×#3265	C₂	semidirect
18. C₃₁×#3265	C₂	semidirect
19. C₃₁×#3224	C₂	semidirect
20. C₃₁×#3222	C₂	semidirect
21. C₃₁×#3200	C₂	semidirect
22. C₃₁×#3198	C₂	semidirect
23. C₃₁×#3196	C₂	semidirect
24. C₃₁×#3191	C₂	semidirect
25. C₃₁×#3123	C₂	semidirect
26. C₃₁×#3118	C₂	semidirect
27. C₃₁×#3012	C₂	semidirect
28. C₃₁×#3009	C₂	semidirect
29. C₃₁×#3003	C₂	semidirect
30. C₂×C₃₁×#450	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. C₂²×SD₁₆×C₃₁	C₂²	semidirect
40. C₂²×SD₁₆×C₃₁	C₂²	semidirect
41. C₂²×SD₁₆×C₃₁	C₂²	semidirect
44. C₃₁×#556	C₂²	semidirect
46. C₃₁×#554	C₂²	semidirect
48. C₃₁×#553	C₂²	semidirect
49. C₃₁×#552	C₂²	semidirect
50. D₄×Q₈×C₃₁	C₂²	semidirect
51. C₃₁×#548	C₂²	semidirect
52. C₃₁×#548	C₂²	semidirect
53. C₃₁×#547	C₂²	semidirect
67. C₃₁×#542	C₂²	semidirect
68. C₃₁×#541	C₂²	semidirect
72. C₃₁×#537	C₂²	semidirect
73. C₃₁×#536	C₂²	semidirect
80. C₃₁×#525	C₂²	semidirect
81. C₂×C₃₁×C₂²⋊Q₈	C₂²	semidirect
85. C₃₁×#497	C₂²	semidirect
86. C₃₁×#496	C₂²	semidirect
87. C₃₁×#495	C₂²	semidirect
88. C₃₁×#492	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×#485	C₂²	semidirect
95. C₃₁×#485	C₂²	semidirect
96. C₃₁×#485	C₂²	semidirect
97. C₃₁×#484	C₂²	semidirect
98. C₃₁×#482	C₂²	semidirect
99. C₃₁×#482	C₂²	semidirect
100. C₃₁×#482	C₂²	semidirect
101. C₃₁×#482	C₂²	semidirect
102. C₃₁×#481	C₂²	semidirect
103. C₃₁×#481	C₂²	semidirect
104. C₃₁×#480	C₂²	semidirect
105. C₃₁×#478	C₂²	semidirect
106. C₃₁×#478	C₂²	semidirect
107. C₃₁×#476	C₂²	semidirect
108. C₃₁×#474	C₂²	semidirect
109. C₃₁×#470	C₂²	semidirect
110. C₃₁×#470	C₂²	semidirect
111. C₃₁×#469	C₂²	semidirect
112. C₃₁×#468	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×#465	C₂²	semidirect
121. C₃₁×#465	C₂²	semidirect
122. C₃₁×#465	C₂²	semidirect
123. C₃₁×#465	C₂²	semidirect
124. C₃₁×#465	C₂²	semidirect
125. C₃₁×#464	C₂²	semidirect
126. C₃₁×#464	C₂²	semidirect
127. C₃₁×#464	C₂²	semidirect
128. C₃₁×#463	C₂²	semidirect
129. C₃₁×#463	C₂²	semidirect
130. C₃₁×#463	C₂²	semidirect
131. C₃₁×#461	C₂²	semidirect
132. C₃₁×#461	C₂²	semidirect
133. C₃₁×#460	C₂²	semidirect
134. C₃₁×#460	C₂²	semidirect
135. C₃₁×#460	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×#452	C₂²	semidirect
142. C₃₁×#452	C₂²	semidirect
143. C₃₁×#452	C₂²	semidirect
144. 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
153. C₃₁×#450	C₂²	semidirect
154. C₃₁×#450	C₂²	semidirect
155. C₃₁×#450	C₂²	semidirect
156. C₃₁×#450	C₂²	semidirect
157. C₃₁×#450	C₂²	semidirect
158. C₃₁×#450	C₂²	semidirect
159. C₃₁×#450	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×#448	C₂²	semidirect
166. C₃₁×#448	C₂²	semidirect
167. C₃₁×#448	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×SD₁₆×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×#418	C₂²	semidirect
192. C₃₁×#418	C₂²	semidirect
193. C₃₁×#418	C₂²	semidirect
194. C₃₁×#417	C₂²	semidirect
195. C₃₁×#416	C₂²	semidirect
196. C₂×C₃₁×#102	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
212. C₂×#41×C₃₁	C₂³	semidirect
214. C₂²×Q₈×C₃₁	C₂³	semidirect
241. C₂×Q₁₆×C₃₁	C₂³	semidirect
242. C₂×Q₁₆×C₃₁	C₂³	semidirect
243. C₂×Q₁₆×C₃₁	C₂³	semidirect
259. C₂×SD₁₆×C₃₁	C₂³	semidirect
260. C₂×SD₁₆×C₃₁	C₂³	semidirect
261. C₂×SD₁₆×C₃₁	C₂³	semidirect
262. C₂×SD₁₆×C₃₁	C₂³	semidirect
267. C₂×D₈×C₃₁	C₂³	semidirect
270. C₂×M₁₆×C₃₁	C₂³	semidirect
271. C₂×M₁₆×C₃₁	C₂³	semidirect
274. C₂²×C₈×C₃₁	C₂³	semidirect
275. C₂²×C₈×C₃₁	C₂³	semidirect
278. C₃₁×C₄⋊Q₈	C₂³	semidirect
279. C₃₁×C₄⋊Q₈	C₂³	semidirect
294. C₃₁×#125	C₂³	semidirect
303. C₃₁×#124	C₂³	semidirect
339. C₃₁×C₂²⋊Q₈	C₂³	semidirect
340. C₃₁×C₂²⋊Q₈	C₂³	semidirect
341. C₃₁×C₂²⋊Q₈	C₂³	semidirect
369. C₃₁×#121	C₂³	semidirect
391. C₄×Q₈×C₃₁	C₂³	semidirect
392. C₄×Q₈×C₃₁	C₂³	semidirect
393. C₄×Q₈×C₃₁	C₂³	semidirect
413. C₄×D₄×C₃₁	C₂³	semidirect
418. C₃₁×#117	C₂³	semidirect
422. C₂×C₄⋊C₄×C₃₁	C₂³	semidirect
430. C₃₁×#107	C₂³	semidirect
431. C₃₁×#107	C₂³	semidirect
432. C₃₁×#107	C₂³	semidirect
433. C₃₁×#107	C₂³	semidirect
434. C₃₁×#106	C₂³	semidirect
435. C₃₁×#106	C₂³	semidirect
436. C₃₁×#106	C₂³	semidirect
437. C₃₁×#106	C₂³	semidirect
438. C₃₁×C₄⋊C₈	C₂³	semidirect
439. C₃₁×C₄⋊C₈	C₂³	semidirect
440. C₃₁×C₄⋊C₈	C₂³	semidirect
441. C₃₁×C₄⋊C₈	C₂³	semidirect
442. C₃₁×#103	C₂³	semidirect
443. C₃₁×#103	C₂³	semidirect
444. C₃₁×#103	C₂³	semidirect
445. C₃₁×#103	C₂³	semidirect
446. C₃₁×#103	C₂³	semidirect
447. C₃₁×#103	C₂³	semidirect
448. C₃₁×#103	C₂³	semidirect
449. C₃₁×#103	C₂³	semidirect
450. C₃₁×#103	C₂³	semidirect
451. C₃₁×#103	C₂³	semidirect
468. C₃₁×#102	C₂³	semidirect
469. C₃₁×#102	C₂³	semidirect
470. C₃₁×#102	C₂³	semidirect
471. C₃₁×#102	C₂³	semidirect
472. C₃₁×#102	C₂³	semidirect
473. C₃₁×#102	C₂³	semidirect
482. C₃₁×C₂²⋊C₈	C₂³	semidirect
483. C₃₁×C₂²⋊C₈	C₂³	semidirect
484. C₃₁×C₂²⋊C₈	C₂³	semidirect
485. C₃₁×C₂²⋊C₈	C₂³	semidirect
486. C₃₁×#97	C₂³	semidirect
487. C₃₁×#97	C₂³	semidirect
488. C₄×C₈×C₃₁	C₂³	semidirect
489. C₄×C₈×C₃₁	C₂³	semidirect
741. #61610	C₃₁	direct (N × H)
893. #3541	C₂×C₃₁	semidirect
894. #3484	C₂×C₃₁	semidirect
895. #3324	C₂×C₃₁	semidirect
896. #3323	C₂×C₃₁	semidirect
897. #3318	C₂×C₃₁	semidirect
898. #3314	C₂×C₃₁	semidirect
899. #3311	C₂×C₃₁	semidirect
900. #3310	C₂×C₃₁	semidirect
901. #3297	C₂×C₃₁	semidirect
902. #3295	C₂×C₃₁	semidirect
903. #3282	C₂×C₃₁	semidirect
904. D₄×SD₁₆	C₂×C₃₁	semidirect
905. #3275	C₂×C₃₁	semidirect
906. #3272	C₂×C₃₁	semidirect
907. #3267	C₂×C₃₁	semidirect
908. #3266	C₂×C₃₁	semidirect
909. #3265	C₂×C₃₁	semidirect
910. #3265	C₂×C₃₁	semidirect
911. #3224	C₂×C₃₁	semidirect
912. #3222	C₂×C₃₁	semidirect
913. #3200	C₂×C₃₁	semidirect
914. #3198	C₂×C₃₁	semidirect
915. #3196	C₂×C₃₁	semidirect
916. #3191	C₂×C₃₁	semidirect
917. #3123	C₂×C₃₁	semidirect
918. #3118	C₂×C₃₁	semidirect
919. #3012	C₂×C₃₁	semidirect
920. #3009	C₂×C₃₁	semidirect
921. #3003	C₂×C₃₁	semidirect
922. C₂×#450	C₂×C₃₁	semidirect
923. #2976	C₂×C₃₁	semidirect
990. C₂×#137	C₂²×C₃₁	semidirect
991. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
992. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
993. C₂×AGL(1,ℤ/8)	C₂²×C₃₁	semidirect
994. C₂×#135	C₂²×C₃₁	semidirect
995. C₂²×SD₁₆	C₂²×C₃₁	semidirect
996. C₂²×SD₁₆	C₂²×C₃₁	semidirect
997. C₂²×SD₁₆	C₂²×C₃₁	semidirect
1000. #556	C₂²×C₃₁	semidirect
1002. #554	C₂²×C₃₁	semidirect
1004. #553	C₂²×C₃₁	semidirect
1005. #552	C₂²×C₃₁	semidirect
1006. D₄×Q₈	C₂²×C₃₁	semidirect
1007. #548	C₂²×C₃₁	semidirect
1008. #548	C₂²×C₃₁	semidirect
1009. #547	C₂²×C₃₁	semidirect
1023. #542	C₂²×C₃₁	semidirect
1024. #541	C₂²×C₃₁	semidirect
1028. #537	C₂²×C₃₁	semidirect
1029. #536	C₂²×C₃₁	semidirect
1036. #525	C₂²×C₃₁	semidirect
1037. C₂×C₂²⋊Q₈	C₂²×C₃₁	semidirect
1041. #497	C₂²×C₃₁	semidirect
1042. #496	C₂²×C₃₁	semidirect
1043. #495	C₂²×C₃₁	semidirect
1044. #492	C₂²×C₃₁	semidirect
1045. #490	C₂²×C₃₁	semidirect
1046. #489	C₂²×C₃₁	semidirect
1047. #488	C₂²×C₃₁	semidirect
1048. #486	C₂²×C₃₁	semidirect
1049. #485	C₂²×C₃₁	semidirect
1050. #485	C₂²×C₃₁	semidirect
1051. #485	C₂²×C₃₁	semidirect
1052. #485	C₂²×C₃₁	semidirect
1053. #484	C₂²×C₃₁	semidirect
1054. #482	C₂²×C₃₁	semidirect
1055. #482	C₂²×C₃₁	semidirect
1056. #482	C₂²×C₃₁	semidirect
1057. #482	C₂²×C₃₁	semidirect
1058. #481	C₂²×C₃₁	semidirect
1059. #481	C₂²×C₃₁	semidirect
1060. #480	C₂²×C₃₁	semidirect
1061. #478	C₂²×C₃₁	semidirect
1062. #478	C₂²×C₃₁	semidirect
1063. #476	C₂²×C₃₁	semidirect
1064. #474	C₂²×C₃₁	semidirect
1065. #470	C₂²×C₃₁	semidirect
1066. #470	C₂²×C₃₁	semidirect
1067. #469	C₂²×C₃₁	semidirect
1068. #468	C₂²×C₃₁	semidirect
1069. #468	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. #465	C₂²×C₃₁	semidirect
1077. #465	C₂²×C₃₁	semidirect
1078. #465	C₂²×C₃₁	semidirect
1079. #465	C₂²×C₃₁	semidirect
1080. #465	C₂²×C₃₁	semidirect
1081. #464	C₂²×C₃₁	semidirect
1082. #464	C₂²×C₃₁	semidirect
1083. #464	C₂²×C₃₁	semidirect
1084. #463	C₂²×C₃₁	semidirect
1085. #463	C₂²×C₃₁	semidirect
1086. #463	C₂²×C₃₁	semidirect
1087. #461	C₂²×C₃₁	semidirect
1088. #461	C₂²×C₃₁	semidirect
1089. #460	C₂²×C₃₁	semidirect
1090. #460	C₂²×C₃₁	semidirect
1091. #460	C₂²×C₃₁	semidirect
1092. #459	C₂²×C₃₁	semidirect
1093. #452	C₂²×C₃₁	semidirect
1094. #452	C₂²×C₃₁	semidirect
1095. #452	C₂²×C₃₁	semidirect
1096. #452	C₂²×C₃₁	semidirect
1097. #452	C₂²×C₃₁	semidirect
1098. #452	C₂²×C₃₁	semidirect
1099. #452	C₂²×C₃₁	semidirect
1100. #451	C₂²×C₃₁	semidirect
1104. #450	C₂²×C₃₁	semidirect
1105. #450	C₂²×C₃₁	semidirect
1106. #450	C₂²×C₃₁	semidirect
1107. #450	C₂²×C₃₁	semidirect
1108. #450	C₂²×C₃₁	semidirect
1109. #450	C₂²×C₃₁	semidirect
1110. #450	C₂²×C₃₁	semidirect
1111. #450	C₂²×C₃₁	semidirect
1112. #450	C₂²×C₃₁	semidirect
1113. #450	C₂²×C₃₁	semidirect
1114. #450	C₂²×C₃₁	semidirect
1115. #450	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. #448	C₂²×C₃₁	semidirect
1122. #448	C₂²×C₃₁	semidirect
1123. #448	C₂²×C₃₁	semidirect
1125. #447	C₂²×C₃₁	semidirect
1126. #447	C₂²×C₃₁	semidirect
1127. #447	C₂²×C₃₁	semidirect
1128. #447	C₂²×C₃₁	semidirect
1129. #442	C₂²×C₃₁	semidirect
1130. #440	C₂²×C₃₁	semidirect
1131. #440	C₂²×C₃₁	semidirect
1132. #440	C₂²×C₃₁	semidirect
1133. C₄×SD₁₆	C₂²×C₃₁	semidirect
1134. C₄×SD₁₆	C₂²×C₃₁	semidirect
1135. C₄×SD₁₆	C₂²×C₃₁	semidirect
1136. C₄×D₈	C₂²×C₃₁	semidirect
1137. #436	C₂²×C₃₁	semidirect
1138. #436	C₂²×C₃₁	semidirect
1139. #435	C₂²×C₃₁	semidirect
1140. #435	C₂²×C₃₁	semidirect
1141. #435	C₂²×C₃₁	semidirect
1142. #435	C₂²×C₃₁	semidirect
1143. C₈×D₄	C₂²×C₃₁	semidirect
1144. C₈×D₄	C₂²×C₃₁	semidirect
1145. #433	C₂²×C₃₁	semidirect
1146. #433	C₂²×C₃₁	semidirect
1147. #418	C₂²×C₃₁	semidirect
1148. #418	C₂²×C₃₁	semidirect
1149. #418	C₂²×C₃₁	semidirect
1150. #417	C₂²×C₃₁	semidirect
1151. #416	C₂²×C₃₁	semidirect
1152. C₂×#102	C₂²×C₃₁	semidirect
1153. C₂×#102	C₂²×C₃₁	semidirect
1154. C₂×#102	C₂²×C₃₁	semidirect
1155. #408	C₂²×C₃₁	semidirect
1156. #408	C₂²×C₃₁	semidirect
1157. #407	C₂²×C₃₁	semidirect
1158. C₂×C₂²⋊C₈	C₂²×C₃₁	semidirect
1182. C₂×#41	C₂³×C₃₁	semidirect
1184. C₂²×Q₈	C₂³×C₃₁	semidirect
1211. C₂×Q₁₆	C₂³×C₃₁	semidirect
1212. C₂×Q₁₆	C₂³×C₃₁	semidirect
1213. C₂×Q₁₆	C₂³×C₃₁	semidirect
1229. C₂×SD₁₆	C₂³×C₃₁	semidirect
1230. C₂×SD₁₆	C₂³×C₃₁	semidirect
1231. C₂×SD₁₆	C₂³×C₃₁	semidirect
1232. C₂×SD₁₆	C₂³×C₃₁	semidirect
1237. C₂×D₈	C₂³×C₃₁	semidirect
1240. C₂×M₁₆	C₂³×C₃₁	semidirect
1241. C₂×M₁₆	C₂³×C₃₁	semidirect
1244. C₂²×C₈	C₂³×C₃₁	semidirect
1245. C₂²×C₈	C₂³×C₃₁	semidirect
1248. C₄⋊Q₈	C₂³×C₃₁	semidirect
1249. C₄⋊Q₈	C₂³×C₃₁	semidirect
1264. #125	C₂³×C₃₁	semidirect
1273. #124	C₂³×C₃₁	semidirect
1309. C₂²⋊Q₈	C₂³×C₃₁	semidirect
1310. C₂²⋊Q₈	C₂³×C₃₁	semidirect
1311. C₂²⋊Q₈	C₂³×C₃₁	semidirect
1339. #121	C₂³×C₃₁	semidirect
1361. C₄×Q₈	C₂³×C₃₁	semidirect
1362. C₄×Q₈	C₂³×C₃₁	semidirect
1363. C₄×Q₈	C₂³×C₃₁	semidirect
1383. C₄×D₄	C₂³×C₃₁	semidirect
1388. #117	C₂³×C₃₁	semidirect
1392. C₂×C₄⋊C₄	C₂³×C₃₁	semidirect
1400. #107	C₂³×C₃₁	semidirect
1401. #107	C₂³×C₃₁	semidirect
1402. #107	C₂³×C₃₁	semidirect
1403. #107	C₂³×C₃₁	semidirect
1404. #106	C₂³×C₃₁	semidirect
1405. #106	C₂³×C₃₁	semidirect
1406. #106	C₂³×C₃₁	semidirect
1407. #106	C₂³×C₃₁	semidirect
1408. C₄⋊C₈	C₂³×C₃₁	semidirect
1409. C₄⋊C₈	C₂³×C₃₁	semidirect
1410. C₄⋊C₈	C₂³×C₃₁	semidirect
1411. C₄⋊C₈	C₂³×C₃₁	semidirect
1412. #103	C₂³×C₃₁	semidirect
1413. #103	C₂³×C₃₁	semidirect
1414. #103	C₂³×C₃₁	semidirect
1415. #103	C₂³×C₃₁	semidirect
1416. #103	C₂³×C₃₁	semidirect
1417. #103	C₂³×C₃₁	semidirect
1418. #103	C₂³×C₃₁	semidirect
1419. #103	C₂³×C₃₁	semidirect
1420. #103	C₂³×C₃₁	semidirect
1421. #103	C₂³×C₃₁	semidirect
1438. #102	C₂³×C₃₁	semidirect
1439. #102	C₂³×C₃₁	semidirect
1440. #102	C₂³×C₃₁	semidirect
1441. #102	C₂³×C₃₁	semidirect
1442. #102	C₂³×C₃₁	semidirect
1443. #102	C₂³×C₃₁	semidirect
1452. C₂²⋊C₈	C₂³×C₃₁	semidirect
1453. C₂²⋊C₈	C₂³×C₃₁	semidirect
1454. C₂²⋊C₈	C₂³×C₃₁	semidirect
1455. C₂²⋊C₈	C₂³×C₃₁	semidirect
1456. #97	C₂³×C₃₁	semidirect
1457. #97	C₂³×C₃₁	semidirect
1458. C₄×C₈	C₂³×C₃₁	semidirect
1459. C₄×C₈	C₂³×C₃₁	semidirect
1460. C₃₁	#61610	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃₁×#3541	2
C₃₁×#3484	2
C₃₁×#3324	2
C₃₁×#3323	2
C₃₁×#3318	2
C₃₁×#3314	2
C₃₁×#3311	2
C₃₁×#3310	2
C₃₁×#3297	2
C₃₁×#3295	2
C₃₁×#3282	2
D₄×SD₁₆×C₃₁	2
C₃₁×#3275	2
C₃₁×#3272	2
C₃₁×#3267	2
C₃₁×#3266	2
C₃₁×#3265	2
C₃₁×#3224	2
C₃₁×#3222	2
C₃₁×#3200	2
C₃₁×#3198	2
C₃₁×#3196	2
C₃₁×#3191	2
C₃₁×#3123	2
C₃₁×#3118	2
C₃₁×#3012	2
C₃₁×#3009	2
C₃₁×#3003	2
C₂×C₃₁×#450	2
C₃₁×#2976	2
#61610	31

Subgroups — C31×#61610 #21518369

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61610 #21518369