Subgroups — C₃₁×#61001 #21517760

Order 7936.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#3494	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3250	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3248	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3247	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3246	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3244	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3244	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3242	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3241	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3225	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3224	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3222	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3221	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3191	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3190	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3188	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3187	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₁×#3181	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₁×#3180	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₁×#3168	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₁×#3167	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₁×#3126	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3125	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3123	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3121	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#3119	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃₁×#3118	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₃₁×#433	C₂	1	1	yes	maximal, characteristic, complemented
32	C₃₁×#556	—	2	1	no	—
33	C₃₁×#555	—	2	1	no	—
34	C₃₁×#554	—	2	1	no	—
35	C₃₁×#553	—	2	1	no	—
36	C₃₁×#553	—	2	1	no	—
37	C₃₁×#552	—	2	1	no	—
38	C₃₁×#552	—	2	1	no	—
39	C₃₁×#552	—	2	1	no	—
40	C₃₁×#552	—	2	1	no	—
41	C₃₁×#551	—	2	1	no	—
42	C₃₁×#551	—	2	1	no	—
43	C₃₁×#551	—	2	1	no	—
44	C₃₁×#551	—	2	1	no	—
45	C₃₁×#547	—	2	1	no	—
46	C₃₁×#546	—	2	1	no	—
47	C₃₁×#546	—	2	1	no	—
48	C₃₁×#544	C₂²	1	1	yes	characteristic
49	C₃₁×#544	C₂²	1	1	yes	characteristic, complemented
50	C₃₁×#542	C₂²	1	1	yes	characteristic
51	C₃₁×#542	C₂²	1	1	yes	characteristic
52	C₃₁×#542	C₂²	1	1	yes	characteristic
53	C₃₁×#542	C₂²	1	1	yes	characteristic
54	C₃₁×#541	C₂²	1	1	yes	characteristic
55	C₃₁×#541	C₂²	1	1	yes	characteristic
56	C₃₁×#540	C₂²	1	1	yes	characteristic
57	C₃₁×#540	C₂²	1	1	yes	characteristic
58	C₃₁×#536	C₂²	1	1	yes	characteristic, complemented
59	C₃₁×#535	C₂²	1	1	yes	characteristic
60	C₃₁×#533	C₂²	1	1	yes	characteristic, complemented
61	C₃₁×#533	C₂²	1	1	yes	characteristic, complemented
62	C₃₁×#532	C₂²	1	1	yes	characteristic
63	C₃₁×#532	C₂²	1	1	yes	characteristic
64	C₃₁×#529	C₂²	1	1	yes	characteristic
65	C₃₁×#529	C₂²	1	1	yes	characteristic
66	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
67	C₃₁×#529	C₂²	1	1	yes	characteristic, complemented
68	C₃₁×#525	C₂²	1	1	yes	characteristic
69	C₃₁×#525	C₂²	1	1	yes	characteristic
70	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
71	C₂×C₃₁×#121	C₂²	1	1	yes	characteristic
72	C₃₁×#520	C₂²	1	1	yes	characteristic
73	C₃₁×#520	C₂²	1	1	yes	characteristic, complemented
74	C₃₁×#519	C₂²	1	1	yes	characteristic, complemented
75	C₃₁×#518	C₂²	1	1	yes	characteristic
76	C₂×C₃₁×#117	C₂²	1	1	yes	characteristic
77	C₃₁×#501	C₂²	1	1	yes	characteristic, complemented
78	C₃₁×#501	C₂²	1	1	yes	characteristic, complemented
79	C₃₁×#499	C₂²	1	1	yes	characteristic, complemented
80	C₃₁×#498	C₂²	1	1	yes	characteristic, complemented
81	C₃₁×#497	C₂²	1	1	yes	characteristic, complemented
82	C₃₁×#496	C₂²	1	1	yes	characteristic, complemented
83	C₃₁×#495	C₂²	1	1	yes	characteristic, complemented
84	C₃₁×#492	C₂²	1	1	yes	characteristic, complemented
85	C₃₁×#491	C₂²	1	1	yes	characteristic, complemented
86	C₃₁×#490	C₂²	1	1	yes	characteristic, complemented
87	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
88	C₃₁×#489	C₂²	1	1	yes	characteristic, complemented
89	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
90	C₃₁×#488	C₂²	1	1	yes	characteristic, complemented
91	C₃₁×#487	C₂²	1	1	yes	characteristic, complemented
92	C₃₁×#486	C₂²	1	1	yes	characteristic, complemented
93	C₃₁×#485	C₂²	1	1	yes	characteristic
94	C₃₁×#485	C₂²	1	1	yes	characteristic
95	C₃₁×#485	C₂²	1	1	yes	characteristic
96	C₃₁×#485	C₂²	1	1	yes	characteristic, complemented
97	C₃₁×#484	C₂²	1	1	yes	characteristic
98	C₃₁×#483	C₂²	1	1	yes	characteristic
99	C₃₁×#483	C₂²	1	1	yes	characteristic
100	C₃₁×#483	C₂²	1	1	yes	characteristic, complemented
101	C₃₁×#482	C₂²	1	1	yes	characteristic
102	C₃₁×#482	C₂²	1	1	yes	characteristic
103	C₃₁×#482	C₂²	1	1	yes	characteristic
104	C₃₁×#482	C₂²	1	1	yes	characteristic, complemented
105	C₃₁×#481	C₂²	1	1	yes	characteristic
106	C₃₁×#481	C₂²	1	1	yes	characteristic
107	C₃₁×#481	C₂²	1	1	yes	characteristic
108	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
110	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
111	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
112	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
113	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
114	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
115	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
116	C₃₁×#478	C₂²	1	1	yes	characteristic, complemented
117	C₃₁×#477	C₂²	1	1	yes	characteristic, complemented
118	C₃₁×#476	C₂²	1	1	yes	characteristic, complemented
119	C₃₁×#476	C₂²	1	1	yes	characteristic, complemented
120	C₃₁×#476	C₂²	1	1	yes	characteristic, complemented
121	C₃₁×#475	C₂²	1	1	yes	characteristic, complemented
122	C₃₁×#475	C₂²	1	1	yes	characteristic, complemented
123	C₃₁×#475	C₂²	1	1	yes	characteristic, complemented
124	C₃₁×#474	C₂²	1	1	yes	characteristic, complemented
125	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
126	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
127	C₃₁×#467	C₂²	1	1	yes	characteristic, complemented
128	C₃₁×#466	C₂²	1	1	yes	characteristic
129	C₃₁×#466	C₂²	1	1	yes	characteristic
130	C₃₁×#466	C₂²	1	1	yes	characteristic, complemented
131	C₃₁×#465	C₂²	1	1	yes	characteristic
132	C₃₁×#465	C₂²	1	1	yes	characteristic
133	C₃₁×#465	C₂²	1	1	yes	characteristic
134	C₃₁×#465	C₂²	1	1	yes	characteristic
135	C₃₁×#465	C₂²	1	1	yes	characteristic
136	C₃₁×#465	C₂²	1	1	yes	characteristic
137	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
138	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
139	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
140	C₃₁×#465	C₂²	1	1	yes	characteristic, complemented
141	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
142	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
143	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
144	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
145	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
146	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
147	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
148	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
149	C₃₁×#462	C₂²	1	1	yes	characteristic, complemented
150	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
151	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
152	C₃₁×#461	C₂²	1	1	yes	characteristic, complemented
153	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
154	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
155	C₃₁×#460	C₂²	1	1	yes	characteristic, complemented
156	C₃₁×#459	C₂²	1	1	yes	characteristic, complemented
157	C₃₁×#452	C₂²	1	1	yes	characteristic
158	C₃₁×#452	C₂²	1	1	yes	characteristic
159	C₃₁×#452	C₂²	1	1	yes	characteristic
160	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
161	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
162	C₃₁×#450	C₂²	1	1	yes	characteristic
163	C₃₁×#450	C₂²	1	1	yes	characteristic
164	C₃₁×#450	C₂²	1	1	yes	characteristic
165	C₃₁×#449	C₂²	1	1	yes	characteristic
166	C₃₁×#449	C₂²	1	1	yes	characteristic
167	C₃₁×#449	C₂²	1	1	yes	characteristic
168	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
169	C₃₁×#448	C₂²	1	1	yes	characteristic
170	C₃₁×#448	C₂²	1	1	yes	characteristic
171	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
172	C₃₁×#447	C₂²	1	1	yes	characteristic
173	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
174	C₃₁×#442	C₂²	1	1	yes	characteristic, complemented
175	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
176	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
177	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
178	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
179	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
180	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
182	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
183	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
184	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
185	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
186	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
187	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
188	C₄×D₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
189	C₃₁×#433	C₂²	1	1	yes	characteristic
190	C₃₁×#433	C₂²	1	1	yes	characteristic
191	C₃₁×#433	C₂²	1	1	yes	characteristic
192	C₃₁×#433	C₂²	1	1	yes	characteristic
193	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
194	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
195	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
196	C₃₁×#433	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₃₁×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₃₁×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₃₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
200	C₂×C₃₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
201	C₂×C₃₁×#97	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×C₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₃₁	—	2	1	no	—
204	C₂×#41×C₃₁	—	2	1	no	—
205	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
206	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₃₁	—	2	1	no	—
209	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
211	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
212	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
213	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
224	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
225	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
227	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
228	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
229	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
230	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
231	C₃₁×C₄⋊Q₈	—	2	1	no	—
232	C₃₁×C₄⋊Q₈	—	2	1	no	—
233	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
234	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₃₁×#127	C₂³	1	1	yes	characteristic
240	C₃₁×#127	C₂³	1	1	yes	characteristic
241	C₃₁×#126	—	2	1	no	—
242	C₃₁×#126	—	2	1	no	—
243	C₃₁×#126	—	2	1	no	—
244	C₃₁×#126	—	2	1	no	—
245	C₃₁×#126	—	2	1	no	—
246	C₃₁×#126	—	2	1	no	—
247	C₃₁×#126	—	2	1	no	—
248	C₃₁×#126	—	2	1	no	—
249	C₃₁×#126	—	2	1	no	—
250	C₃₁×#126	—	2	1	no	—
251	C₃₁×#126	—	2	1	no	—
252	C₃₁×#126	—	2	1	no	—
253	C₃₁×#125	—	2	1	no	—
254	C₃₁×#125	—	2	1	no	—
255	C₃₁×#125	—	2	1	no	—
256	C₃₁×#125	—	2	1	no	—
257	C₃₁×#125	—	2	1	no	—
258	C₃₁×#125	—	2	1	no	—
259	C₃₁×#125	—	2	1	no	—
260	C₃₁×#125	—	2	1	no	—
261	C₃₁×#125	C₂³	1	1	yes	characteristic
262	C₃₁×#125	C₂³	1	1	yes	characteristic
263	C₃₁×#125	C₂³	1	1	yes	characteristic
264	C₃₁×#125	C₂³	1	1	yes	characteristic
265	C₃₁×#124	—	2	1	no	—
266	C₃₁×#124	—	2	1	no	—
267	C₃₁×#124	—	2	1	no	—
268	C₃₁×#124	—	2	1	no	—
269	C₃₁×#124	—	2	1	no	—
270	C₃₁×#124	—	2	1	no	—
271	C₃₁×#124	C₂³	1	1	yes	characteristic
272	C₃₁×#124	C₂³	1	1	yes	characteristic
273	C₃₁×#124	C₂³	1	1	yes	characteristic
274	C₃₁×#124	C₂³	1	1	yes	characteristic
275	C₃₁×#123	—	2	1	no	—
276	C₃₁×#123	—	2	1	no	—
277	C₃₁×#123	—	2	1	no	—
278	C₃₁×#123	—	2	1	no	—
279	C₃₁×#123	—	2	1	no	—
280	C₃₁×#123	—	2	1	no	—
281	C₃₁×#123	—	2	1	no	—
282	C₃₁×#123	—	2	1	no	—
283	C₃₁×#123	—	2	1	no	—
284	C₃₁×#123	—	2	1	no	—
285	C₃₁×#123	—	2	1	no	—
286	C₃₁×#123	—	2	1	no	—
287	C₃₁×#123	—	2	1	no	—
288	C₃₁×#123	—	2	1	no	—
289	C₃₁×#123	—	2	1	no	—
290	C₃₁×#123	—	2	1	no	—
291	C₃₁×C₂²⋊Q₈	—	2	1	no	—
292	C₃₁×C₂²⋊Q₈	—	2	1	no	—
293	C₃₁×C₂²⋊Q₈	—	2	1	no	—
294	C₃₁×C₂²⋊Q₈	—	2	1	no	—
295	C₃₁×C₂²⋊Q₈	—	2	1	no	—
296	C₃₁×C₂²⋊Q₈	—	2	1	no	—
297	C₃₁×C₂²⋊Q₈	—	2	1	no	—
298	C₃₁×C₂²⋊Q₈	—	2	1	no	—
299	C₃₁×C₂²⋊Q₈	—	2	1	no	—
300	C₃₁×C₂²⋊Q₈	—	2	1	no	—
301	C₃₁×C₂²⋊Q₈	—	2	1	no	—
302	C₃₁×C₂²⋊Q₈	—	2	1	no	—
303	C₃₁×C₂²⋊Q₈	—	2	1	no	—
304	C₃₁×C₂²⋊Q₈	—	2	1	no	—
305	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
306	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
307	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
308	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
309	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
310	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
311	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
312	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
313	C₃₁×#121	—	2	1	no	—
314	C₃₁×#121	—	2	1	no	—
315	C₃₁×#121	—	2	1	no	—
316	C₃₁×#121	—	2	1	no	—
317	C₃₁×#121	—	2	1	no	—
318	C₃₁×#121	—	2	1	no	—
319	C₃₁×#121	—	2	1	no	—
320	C₃₁×#121	—	2	1	no	—
321	C₃₁×#121	—	2	1	no	—
322	C₃₁×#121	—	2	1	no	—
323	C₃₁×#121	C₂³	1	1	yes	characteristic
324	C₃₁×#121	C₂³	1	1	yes	characteristic
325	C₃₁×#121	C₂³	1	1	yes	characteristic
326	C₃₁×#121	C₂³	1	1	yes	characteristic
327	C₃₁×#121	C₂³	1	1	yes	characteristic
328	C₃₁×#121	C₂³	1	1	yes	characteristic
329	C₃₁×#121	C₂³	1	1	yes	characteristic
330	C₃₁×#121	C₂³	1	1	yes	characteristic
331	C₃₁×#120	—	2	1	no	—
332	C₃₁×#120	—	2	1	no	—
333	C₃₁×#120	—	2	1	no	—
334	C₃₁×#120	—	2	1	no	—
335	C₄×Q₈×C₃₁	—	2	1	no	—
336	C₄×Q₈×C₃₁	—	2	1	no	—
337	C₄×Q₈×C₃₁	—	2	1	no	—
338	C₄×Q₈×C₃₁	—	2	1	no	—
339	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
340	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
341	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
342	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
347	C₄×D₄×C₃₁	—	2	1	no	—
348	C₄×D₄×C₃₁	—	2	1	no	—
349	C₄×D₄×C₃₁	—	2	1	no	—
350	C₄×D₄×C₃₁	—	2	1	no	—
351	C₄×D₄×C₃₁	—	2	1	no	—
352	C₄×D₄×C₃₁	—	2	1	no	—
353	C₄×D₄×C₃₁	—	2	1	no	—
354	C₄×D₄×C₃₁	—	2	1	no	—
355	C₄×D₄×C₃₁	—	2	1	no	—
356	C₄×D₄×C₃₁	—	2	1	no	—
357	C₄×D₄×C₃₁	—	2	1	no	—
358	C₄×D₄×C₃₁	—	2	1	no	—
359	C₄×D₄×C₃₁	—	2	1	no	—
360	C₄×D₄×C₃₁	—	2	1	no	—
361	C₄×D₄×C₃₁	—	2	1	no	—
362	C₄×D₄×C₃₁	—	2	1	no	—
363	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
364	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
371	C₃₁×#117	—	2	1	no	—
372	C₃₁×#117	—	2	1	no	—
373	C₃₁×#117	—	2	1	no	—
374	C₃₁×#117	—	2	1	no	—
375	C₃₁×#117	—	2	1	no	—
376	C₃₁×#117	—	2	1	no	—
377	C₃₁×#117	—	2	1	no	—
378	C₃₁×#117	—	2	1	no	—
379	C₃₁×#117	—	2	1	no	—
380	C₃₁×#117	—	2	1	no	—
381	C₃₁×#117	D₄	1	1	yes	characteristic
382	C₃₁×#117	D₄	1	1	yes	characteristic
383	C₃₁×#117	D₄	1	1	yes	characteristic
384	C₃₁×#117	D₄	1	1	yes	characteristic
385	C₃₁×#117	C₂³	1	1	yes	characteristic
386	C₃₁×#117	C₂³	1	1	yes	characteristic
387	C₃₁×#117	C₂³	1	1	yes	characteristic
388	C₃₁×#117	C₂³	1	1	yes	characteristic
389	C₃₁×#117	C₂³	1	1	yes	characteristic
390	C₃₁×#117	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
392	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
393	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
394	C₂×C₄⋊C₄×C₃₁	D₄	1	1	yes	characteristic
395	C₂×C₄⋊C₄×C₃₁	D₄	1	1	yes	characteristic
396	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
397	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
398	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
399	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
400	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
401	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
402	C₂×C₂²⋊C₄×C₃₁	D₄	1	1	yes	characteristic
403	C₂×C₂²⋊C₄×C₃₁	D₄	1	1	yes	characteristic
404	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
405	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
406	C₃₁×#107	C₂³	1	1	yes	characteristic
407	C₃₁×#107	C₂³	1	1	yes	characteristic
408	C₃₁×#107	C₂³	1	1	yes	characteristic
409	C₃₁×#107	C₂³	1	1	yes	characteristic
410	C₃₁×#107	C₂³	1	1	yes	characteristic
411	C₃₁×#107	C₂³	1	1	yes	characteristic
412	C₃₁×#106	C₂³	1	1	yes	characteristic
413	C₃₁×#106	C₂³	1	1	yes	characteristic
414	C₃₁×#106	C₂³	1	1	yes	characteristic
415	C₃₁×#106	C₂³	1	1	yes	characteristic
416	C₃₁×#106	C₂³	1	1	yes	characteristic
417	C₃₁×#106	C₂³	1	1	yes	characteristic
418	C₃₁×#106	C₂³	1	1	yes	characteristic
419	C₃₁×#106	C₂³	1	1	yes	characteristic
420	C₃₁×#106	C₂³	1	1	yes	characteristic
421	C₃₁×#106	C₂³	1	1	yes	characteristic
422	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₃₁×#103	C₂³	1	1	yes	characteristic
431	C₃₁×#103	C₂³	1	1	yes	characteristic
432	C₃₁×#103	C₂³	1	1	yes	characteristic
433	C₃₁×#103	C₂³	1	1	yes	characteristic
434	C₃₁×#103	C₂³	1	1	yes	characteristic
435	C₃₁×#103	C₂³	1	1	yes	characteristic
436	C₃₁×#103	C₂³	1	1	yes	characteristic
437	C₃₁×#103	C₂³	1	1	yes	characteristic
438	C₃₁×#103	C₂³	1	1	yes	characteristic
439	C₃₁×#103	C₂³	1	1	yes	characteristic
440	C₃₁×#103	C₂³	1	1	yes	characteristic
441	C₃₁×#103	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×#102	C₂³	1	1	yes	characteristic
447	C₃₁×#102	C₂³	1	1	yes	characteristic
448	C₃₁×#102	C₂³	1	1	yes	characteristic
449	C₃₁×#102	C₂³	1	1	yes	characteristic
450	C₃₁×#102	C₂³	1	1	yes	characteristic
451	C₃₁×#102	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
463	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
464	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
465	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₃₁×#97	C₂³	1	1	yes	characteristic
471	C₃₁×#97	C₂³	1	1	yes	characteristic
472	C₃₁×#97	C₂³	1	1	yes	characteristic
473	C₃₁×#97	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
478	C₂⁴×C₃₁	—	2	1	no	—
479	C₂⁴×C₃₁	C₂×D₄	1	1	yes	characteristic
480	#41×C₃₁	—	4	1	no	—
481	#41×C₃₁	—	4	1	no	—
482	#41×C₃₁	—	4	1	no	—
483	#41×C₃₁	—	4	1	no	—
484	#41×C₃₁	—	8	2	no	—
485	#41×C₃₁	—	8	2	no	—
486	C₂×Q₈×C₃₁	—	2	1	no	—
487	C₂×Q₈×C₃₁	—	2	1	no	—
488	C₂×Q₈×C₃₁	—	2	1	no	—
489	C₂×Q₈×C₃₁	—	2	1	no	—
490	C₂×Q₈×C₃₁	—	2	1	no	—
491	C₂×Q₈×C₃₁	—	4	1	no	—
492	C₂×Q₈×C₃₁	—	4	1	no	—
493	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₃₁	—	2	1	no	—
498	C₂×D₄×C₃₁	—	2	1	no	—
499	C₂×D₄×C₃₁	—	2	1	no	—
500	C₂×D₄×C₃₁	—	2	1	no	—
501	C₂×D₄×C₃₁	—	2	1	no	—
502	C₂×D₄×C₃₁	—	2	1	no	—
503	C₂×D₄×C₃₁	—	2	1	no	—
504	C₂×D₄×C₃₁	—	2	1	no	—
505	C₂×D₄×C₃₁	—	2	1	no	—
506	C₂×D₄×C₃₁	—	2	1	no	—
507	C₂×D₄×C₃₁	—	2	1	no	—
508	C₂×D₄×C₃₁	—	2	1	no	—
509	C₂×D₄×C₃₁	—	2	1	no	—
510	C₂×D₄×C₃₁	—	2	1	no	—
511	C₂×D₄×C₃₁	—	2	1	no	—
512	C₂×D₄×C₃₁	—	4	1	no	—
513	C₂×D₄×C₃₁	—	4	1	no	—
514	C₂×D₄×C₃₁	—	8	2	no	—
515	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
516	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
517	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₃₁	—	2	1	no	—
520	C₂²×C₄×C₃₁	—	2	1	no	—
521	C₂²×C₄×C₃₁	—	2	1	no	—
522	C₂²×C₄×C₃₁	—	2	1	no	—
523	C₂²×C₄×C₃₁	—	2	1	no	—
524	C₂²×C₄×C₃₁	—	2	1	no	—
525	C₂²×C₄×C₃₁	—	2	1	no	—
526	C₂²×C₄×C₃₁	—	2	1	no	—
527	C₂²×C₄×C₃₁	—	2	1	no	—
528	C₂²×C₄×C₃₁	—	2	1	no	—
529	C₂²×C₄×C₃₁	—	2	1	no	—
530	C₂²×C₄×C₃₁	—	2	1	no	—
531	C₂²×C₄×C₃₁	—	2	1	no	—
532	C₂²×C₄×C₃₁	—	4	1	no	—
533	C₂²×C₄×C₃₁	—	4	1	no	—
534	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
535	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
536	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
537	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
538	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
539	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
540	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
544	Q₁₆×C₃₁	—	4	1	no	—
545	Q₁₆×C₃₁	—	4	1	no	—
546	Q₁₆×C₃₁	—	4	1	no	—
547	SD₁₆×C₃₁	—	4	1	no	—
548	SD₁₆×C₃₁	—	4	1	no	—
549	SD₁₆×C₃₁	—	4	1	no	—
550	SD₁₆×C₃₁	—	4	1	no	—
551	SD₁₆×C₃₁	—	4	1	no	—
552	SD₁₆×C₃₁	—	4	1	no	—
553	SD₁₆×C₃₁	—	4	1	no	—
554	SD₁₆×C₃₁	—	4	1	no	—
555	SD₁₆×C₃₁	—	4	1	no	—
556	SD₁₆×C₃₁	—	4	1	no	—
557	D₈×C₃₁	—	4	1	no	—
558	D₈×C₃₁	—	4	1	no	—
559	D₈×C₃₁	—	4	1	no	—
560	C₂×C₈×C₃₁	—	4	1	no	—
561	C₂×C₈×C₃₁	—	4	1	no	—
562	C₂×C₈×C₃₁	—	4	1	no	—
563	C₂×C₈×C₃₁	—	4	1	no	—
564	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
565	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
566	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
567	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
568	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
569	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
570	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
571	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
572	C₄⋊C₄×C₃₁	—	2	1	no	—
573	C₄⋊C₄×C₃₁	—	2	1	no	—
574	C₄⋊C₄×C₃₁	—	2	1	no	—
575	C₄⋊C₄×C₃₁	—	2	1	no	—
576	C₄⋊C₄×C₃₁	—	2	1	no	—
577	C₄⋊C₄×C₃₁	—	2	1	no	—
578	C₄⋊C₄×C₃₁	—	2	1	no	—
579	C₄⋊C₄×C₃₁	—	2	1	no	—
580	C₄⋊C₄×C₃₁	—	2	1	no	—
581	C₄⋊C₄×C₃₁	—	2	1	no	—
582	C₄⋊C₄×C₃₁	—	2	1	no	—
583	C₄⋊C₄×C₃₁	—	2	1	no	—
584	C₄⋊C₄×C₃₁	—	2	1	no	—
585	C₄⋊C₄×C₃₁	—	2	1	no	—
586	C₄⋊C₄×C₃₁	—	2	1	no	—
587	C₄⋊C₄×C₃₁	—	2	1	no	—
588	C₄⋊C₄×C₃₁	—	2	1	no	—
589	C₄⋊C₄×C₃₁	—	2	1	no	—
590	C₄⋊C₄×C₃₁	—	2	1	no	—
591	C₄⋊C₄×C₃₁	—	2	1	no	—
592	C₄⋊C₄×C₃₁	—	2	1	no	—
593	C₄⋊C₄×C₃₁	—	2	1	no	—
594	C₄⋊C₄×C₃₁	—	2	1	no	—
595	C₄⋊C₄×C₃₁	—	2	1	no	—
596	C₄⋊C₄×C₃₁	—	2	1	no	—
597	C₄⋊C₄×C₃₁	—	2	1	no	—
598	C₄⋊C₄×C₃₁	—	2	1	no	—
599	C₄⋊C₄×C₃₁	—	2	1	no	—
600	C₄⋊C₄×C₃₁	—	2	1	no	—
601	C₄⋊C₄×C₃₁	—	2	1	no	—
602	C₄⋊C₄×C₃₁	—	2	1	no	—
603	C₄⋊C₄×C₃₁	—	2	1	no	—
604	C₄⋊C₄×C₃₁	—	2	1	no	—
605	C₄⋊C₄×C₃₁	—	2	1	no	—
606	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
607	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
608	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
610	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
611	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
613	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
614	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
615	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
616	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
620	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
621	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
622	C₂²⋊C₄×C₃₁	—	2	1	no	—
623	C₂²⋊C₄×C₃₁	—	2	1	no	—
624	C₂²⋊C₄×C₃₁	—	2	1	no	—
625	C₂²⋊C₄×C₃₁	—	2	1	no	—
626	C₂²⋊C₄×C₃₁	—	2	1	no	—
627	C₂²⋊C₄×C₃₁	—	2	1	no	—
628	C₂²⋊C₄×C₃₁	—	2	1	no	—
629	C₂²⋊C₄×C₃₁	—	2	1	no	—
630	C₂²⋊C₄×C₃₁	—	2	1	no	—
631	C₂²⋊C₄×C₃₁	—	2	1	no	—
632	C₂²⋊C₄×C₃₁	—	2	1	no	—
633	C₂²⋊C₄×C₃₁	—	2	1	no	—
634	C₂²⋊C₄×C₃₁	—	2	1	no	—
635	C₂²⋊C₄×C₃₁	—	2	1	no	—
636	C₂²⋊C₄×C₃₁	—	2	1	no	—
637	C₂²⋊C₄×C₃₁	—	2	1	no	—
638	C₂²⋊C₄×C₃₁	—	2	1	no	—
639	C₂²⋊C₄×C₃₁	—	2	1	no	—
640	C₂²⋊C₄×C₃₁	—	2	1	no	—
641	C₂²⋊C₄×C₃₁	—	2	1	no	—
642	C₂²⋊C₄×C₃₁	—	2	1	no	—
643	C₂²⋊C₄×C₃₁	—	2	1	no	—
644	C₂²⋊C₄×C₃₁	—	2	1	no	—
645	C₂²⋊C₄×C₃₁	—	2	1	no	—
646	C₂²⋊C₄×C₃₁	—	2	1	no	—
647	C₂²⋊C₄×C₃₁	—	2	1	no	—
648	C₂²⋊C₄×C₃₁	—	2	1	no	—
649	C₂²⋊C₄×C₃₁	—	2	1	no	—
650	C₂²⋊C₄×C₃₁	—	2	1	no	—
651	C₂²⋊C₄×C₃₁	—	2	1	no	—
652	C₂²⋊C₄×C₃₁	—	2	1	no	—
653	C₂²⋊C₄×C₃₁	—	2	1	no	—
654	C₂²⋊C₄×C₃₁	—	2	1	no	—
655	C₂²⋊C₄×C₃₁	—	2	1	no	—
656	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
657	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₃₁	—	2	1	no	—
665	C₄²×C₃₁	—	2	1	no	—
666	C₄²×C₃₁	—	2	1	no	—
667	C₄²×C₃₁	—	2	1	no	—
668	C₄²×C₃₁	—	2	1	no	—
669	C₄²×C₃₁	—	2	1	no	—
670	C₄²×C₃₁	—	2	1	no	—
671	C₄²×C₃₁	—	2	1	no	—
672	C₄²×C₃₁	—	2	1	no	—
673	C₄²×C₃₁	—	2	1	no	—
674	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
675	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
676	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
677	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
678	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
679	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
680	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
681	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
682	#61001	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
683	C₂³×C₃₁	—	2	2	no	—
684	C₂³×C₃₁	—	2	1	no	—
685	C₂³×C₃₁	—	2	1	no	—
686	C₂³×C₃₁	—	2	1	no	—
687	C₂³×C₃₁	—	2	1	no	—
688	C₂³×C₃₁	—	4	1	no	—
689	C₂³×C₃₁	—	4	1	no	—
690	C₂³×C₃₁	—	4	2	no	—
691	C₂³×C₃₁	—	8	1	no	—
692	C₂³×C₃₁	—	8	1	no	—
693	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
694	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
695	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
696	Q₈×C₃₁	—	2	1	no	—
697	Q₈×C₃₁	—	2	1	no	—
698	Q₈×C₃₁	—	2	1	no	—
699	Q₈×C₃₁	—	2	1	no	—
700	Q₈×C₃₁	—	2	1	no	—
701	Q₈×C₃₁	—	2	1	no	—
702	Q₈×C₃₁	—	2	1	no	—
703	Q₈×C₃₁	—	2	1	no	—
704	Q₈×C₃₁	—	4	2	no	—
705	Q₈×C₃₁	—	8	1	no	—
706	Q₈×C₃₁	—	8	1	no	—
707	Q₈×C₃₁	—	8	1	no	—
708	Q₈×C₃₁	—	8	1	no	—
709	D₄×C₃₁	—	2	1	no	—
710	D₄×C₃₁	—	2	1	no	—
711	D₄×C₃₁	—	2	1	no	—
712	D₄×C₃₁	—	2	1	no	—
713	D₄×C₃₁	—	2	1	no	—
714	D₄×C₃₁	—	2	1	no	—
715	D₄×C₃₁	—	2	1	no	—
716	D₄×C₃₁	—	2	1	no	—
717	D₄×C₃₁	—	4	2	no	—
718	D₄×C₃₁	—	4	2	no	—
719	D₄×C₃₁	—	4	2	no	—
720	D₄×C₃₁	—	4	2	no	—
721	D₄×C₃₁	—	4	2	no	—
722	D₄×C₃₁	—	4	2	no	—
723	D₄×C₃₁	—	4	2	no	—
724	D₄×C₃₁	—	8	1	no	—
725	D₄×C₃₁	—	8	1	no	—
726	D₄×C₃₁	—	8	1	no	—
727	D₄×C₃₁	—	8	1	no	—
728	D₄×C₃₁	—	8	1	no	—
729	D₄×C₃₁	—	8	1	no	—
730	D₄×C₃₁	—	8	1	no	—
731	D₄×C₃₁	—	8	1	no	—
732	C₂×C₄×C₃₁	—	2	2	no	—
733	C₂×C₄×C₃₁	—	2	2	no	—
734	C₂×C₄×C₃₁	—	2	1	no	—
735	C₂×C₄×C₃₁	—	2	1	no	—
736	C₂×C₄×C₃₁	—	2	1	no	—
737	C₂×C₄×C₃₁	—	2	1	no	—
738	C₂×C₄×C₃₁	—	2	1	no	—
739	C₂×C₄×C₃₁	—	2	1	no	—
740	C₂×C₄×C₃₁	—	2	1	no	—
741	C₂×C₄×C₃₁	—	2	1	no	—
742	C₂×C₄×C₃₁	—	2	1	no	—
743	C₂×C₄×C₃₁	—	2	1	no	—
744	C₂×C₄×C₃₁	—	2	1	no	—
745	C₂×C₄×C₃₁	—	2	1	no	—
746	C₂×C₄×C₃₁	—	2	1	no	—
747	C₂×C₄×C₃₁	—	2	1	no	—
748	C₂×C₄×C₃₁	—	2	1	no	—
749	C₂×C₄×C₃₁	—	2	1	no	—
750	C₂×C₄×C₃₁	—	2	1	no	—
751	C₂×C₄×C₃₁	—	2	1	no	—
752	C₂×C₄×C₃₁	—	4	1	no	—
753	C₂×C₄×C₃₁	—	4	1	no	—
754	C₂×C₄×C₃₁	—	4	1	no	—
755	C₂×C₄×C₃₁	—	4	1	no	—
756	C₂×C₄×C₃₁	—	4	1	no	—
757	C₂×C₄×C₃₁	—	4	2	no	—
758	C₂×C₄×C₃₁	—	4	2	no	—
759	C₂×C₄×C₃₁	—	4	2	no	—
760	C₂×C₄×C₃₁	—	8	1	no	—
761	C₂×C₄×C₃₁	—	8	1	no	—
762	C₂×C₄×C₃₁	—	8	1	no	—
763	C₂×C₄×C₃₁	—	8	1	no	—
764	C₂×C₄×C₃₁	—	8	1	no	—
765	C₂×C₄×C₃₁	—	8	1	no	—
766	C₂×C₄×C₃₁	—	8	1	no	—
767	C₂×C₄×C₃₁	—	8	1	no	—
768	C₂×C₄×C₃₁	—	8	1	no	—
769	C₂×C₄×C₃₁	—	8	1	no	—
770	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
771	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
772	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
782	C₈×C₃₁	—	2	1	no	—
783	C₈×C₃₁	—	2	1	no	—
784	C₈×C₃₁	—	2	1	no	—
785	C₈×C₃₁	—	2	1	no	—
786	C₈×C₃₁	—	2	1	no	—
787	C₈×C₃₁	—	2	1	no	—
788	C₈×C₃₁	—	2	1	no	—
789	C₈×C₃₁	—	2	1	no	—
790	#3495	C₂×C₃₁	1	1	yes	characteristic, complemented
791	#3494	C₂×C₃₁	1	1	yes	characteristic, complemented
792	#3250	C₂×C₃₁	1	1	yes	characteristic, complemented
793	#3248	C₂×C₃₁	1	1	yes	characteristic, complemented
794	#3247	C₂×C₃₁	1	1	yes	characteristic, complemented
795	#3246	C₂×C₃₁	1	1	yes	characteristic, complemented
796	#3244	C₂×C₃₁	1	1	yes	characteristic, complemented
797	#3244	C₂×C₃₁	1	1	yes	characteristic, complemented
798	#3242	C₂×C₃₁	1	1	yes	characteristic, complemented
799	#3241	C₂×C₃₁	1	1	yes	characteristic, complemented
800	#3225	C₂×C₃₁	1	1	yes	characteristic, complemented
801	#3224	C₂×C₃₁	1	1	yes	characteristic, complemented
802	#3222	C₂×C₃₁	1	1	yes	characteristic, complemented
803	#3221	C₂×C₃₁	1	1	yes	characteristic, complemented
804	#3191	C₂×C₃₁	1	1	yes	characteristic, complemented
805	#3190	C₂×C₃₁	1	1	yes	characteristic, complemented
806	#3188	C₂×C₃₁	1	1	yes	characteristic, complemented
807	#3187	C₂×C₃₁	1	1	yes	characteristic, complemented
808	#3181	C₂×C₃₁	1	1	yes	characteristic, complemented
809	#3180	C₂×C₃₁	1	1	yes	characteristic, complemented
810	#3168	C₂×C₃₁	1	1	yes	characteristic, complemented
811	#3167	C₂×C₃₁	1	1	yes	characteristic, complemented
812	#3126	C₂×C₃₁	1	1	yes	characteristic, complemented
813	#3125	C₂×C₃₁	1	1	yes	characteristic, complemented
814	#3125	C₂×C₃₁	1	1	yes	characteristic, complemented
815	#3123	C₂×C₃₁	1	1	yes	characteristic, complemented
816	#3121	C₂×C₃₁	1	1	yes	characteristic, complemented
817	#3120	C₂×C₃₁	1	1	yes	characteristic, complemented
818	#3119	C₂×C₃₁	1	1	yes	characteristic, complemented
819	#3118	C₂×C₃₁	1	1	yes	characteristic, complemented
820	C₂×#433	C₂×C₃₁	1	1	yes	characteristic, complemented
821	C₂²×C₃₁	—	2	1	no	—
822	C₂²×C₃₁	—	2	1	no	—
823	C₂²×C₃₁	—	2	1	no	—
824	C₂²×C₃₁	—	2	1	no	—
825	C₂²×C₃₁	—	2	1	no	—
826	C₂²×C₃₁	—	2	1	no	—
827	C₂²×C₃₁	—	2	1	no	—
828	C₂²×C₃₁	—	2	1	no	—
829	C₂²×C₃₁	—	4	1	no	—
830	C₂²×C₃₁	—	4	1	no	—
831	C₂²×C₃₁	—	4	1	no	—
832	C₂²×C₃₁	—	4	1	no	—
833	C₂²×C₃₁	—	4	1	no	—
834	C₂²×C₃₁	—	4	1	no	—
835	C₂²×C₃₁	—	4	1	no	—
836	C₂²×C₃₁	—	4	1	no	—
837	C₂²×C₃₁	—	4	1	no	—
838	C₂²×C₃₁	—	4	1	no	—
839	C₂²×C₃₁	—	4	1	no	—
840	C₂²×C₃₁	—	4	1	no	—
841	C₂²×C₃₁	—	8	2	no	—
842	C₂²×C₃₁	—	16	2	no	—
843	C₂²×C₃₁	#577	1	2	yes	—
844	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
845	C₄×C₃₁	—	2	1	no	—
846	C₄×C₃₁	—	2	1	no	—
847	C₄×C₃₁	—	2	1	no	—
848	C₄×C₃₁	—	2	1	no	—
849	C₄×C₃₁	—	2	1	no	—
850	C₄×C₃₁	—	2	1	no	—
851	C₄×C₃₁	—	2	1	no	—
852	C₄×C₃₁	—	2	1	no	—
853	C₄×C₃₁	—	2	1	no	—
854	C₄×C₃₁	—	2	1	no	—
855	C₄×C₃₁	—	2	1	no	—
856	C₄×C₃₁	—	4	1	no	—
857	C₄×C₃₁	—	4	1	no	—
858	C₄×C₃₁	—	4	1	no	—
859	C₄×C₃₁	—	4	1	no	—
860	C₄×C₃₁	—	4	1	no	—
861	C₄×C₃₁	—	4	1	no	—
862	C₄×C₃₁	—	4	1	no	—
863	C₄×C₃₁	—	4	1	no	—
864	C₄×C₃₁	—	4	1	no	—
865	C₄×C₃₁	—	4	1	no	—
866	C₄×C₃₁	—	4	1	no	—
867	C₄×C₃₁	—	4	1	no	—
868	C₄×C₃₁	#585	1	1	yes	characteristic
869	C₄×C₃₁	#585	1	1	yes	characteristic
870	#556	—	2	1	no	—
871	#555	—	2	1	no	—
872	#554	—	2	1	no	—
873	#553	—	2	1	no	—
874	#553	—	2	1	no	—
875	#552	—	2	1	no	—
876	#552	—	2	1	no	—
877	#552	—	2	1	no	—
878	#552	—	2	1	no	—
879	#551	—	2	1	no	—
880	#551	—	2	1	no	—
881	#551	—	2	1	no	—
882	#551	—	2	1	no	—
883	#547	—	2	1	no	—
884	#546	—	2	1	no	—
885	#546	—	2	1	no	—
886	#544	C₂²×C₃₁	1	1	yes	characteristic
887	#544	C₂²×C₃₁	1	1	yes	characteristic, complemented
888	#542	C₂²×C₃₁	1	1	yes	characteristic
889	#542	C₂²×C₃₁	1	1	yes	characteristic
890	#542	C₂²×C₃₁	1	1	yes	characteristic
891	#542	C₂²×C₃₁	1	1	yes	characteristic
892	#541	C₂²×C₃₁	1	1	yes	characteristic
893	#541	C₂²×C₃₁	1	1	yes	characteristic
894	#540	C₂²×C₃₁	1	1	yes	characteristic
895	#540	C₂²×C₃₁	1	1	yes	characteristic
896	#536	C₂²×C₃₁	1	1	yes	characteristic, complemented
897	#535	C₂²×C₃₁	1	1	yes	characteristic
898	#533	C₂²×C₃₁	1	1	yes	characteristic, complemented
899	#533	C₂²×C₃₁	1	1	yes	characteristic, complemented
900	#532	C₂²×C₃₁	1	1	yes	characteristic
901	#532	C₂²×C₃₁	1	1	yes	characteristic
902	#529	C₂²×C₃₁	1	1	yes	characteristic
903	#529	C₂²×C₃₁	1	1	yes	characteristic
904	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
905	#529	C₂²×C₃₁	1	1	yes	characteristic, complemented
906	#525	C₂²×C₃₁	1	1	yes	characteristic
907	#525	C₂²×C₃₁	1	1	yes	characteristic
908	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
909	C₂×#121	C₂²×C₃₁	1	1	yes	characteristic
910	#520	C₂²×C₃₁	1	1	yes	characteristic
911	#520	C₂²×C₃₁	1	1	yes	characteristic, complemented
912	#519	C₂²×C₃₁	1	1	yes	characteristic, complemented
913	#518	C₂²×C₃₁	1	1	yes	characteristic
914	C₂×#117	C₂²×C₃₁	1	1	yes	characteristic
915	#501	C₂²×C₃₁	1	1	yes	characteristic, complemented
916	#501	C₂²×C₃₁	1	1	yes	characteristic, complemented
917	#499	C₂²×C₃₁	1	1	yes	characteristic, complemented
918	#498	C₂²×C₃₁	1	1	yes	characteristic, complemented
919	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
920	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
921	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
922	#492	C₂²×C₃₁	1	1	yes	characteristic, complemented
923	#491	C₂²×C₃₁	1	1	yes	characteristic, complemented
924	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
925	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
926	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
927	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
928	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
929	#487	C₂²×C₃₁	1	1	yes	characteristic, complemented
930	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
931	#485	C₂²×C₃₁	1	1	yes	characteristic
932	#485	C₂²×C₃₁	1	1	yes	characteristic
933	#485	C₂²×C₃₁	1	1	yes	characteristic
934	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
935	#484	C₂²×C₃₁	1	1	yes	characteristic
936	#483	C₂²×C₃₁	1	1	yes	characteristic
937	#483	C₂²×C₃₁	1	1	yes	characteristic
938	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
939	#482	C₂²×C₃₁	1	1	yes	characteristic
940	#482	C₂²×C₃₁	1	1	yes	characteristic
941	#482	C₂²×C₃₁	1	1	yes	characteristic
942	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
943	#481	C₂²×C₃₁	1	1	yes	characteristic
944	#481	C₂²×C₃₁	1	1	yes	characteristic
945	#481	C₂²×C₃₁	1	1	yes	characteristic
946	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
947	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
948	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
949	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
950	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
951	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
952	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
953	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
954	#478	C₂²×C₃₁	1	1	yes	characteristic, complemented
955	#477	C₂²×C₃₁	1	1	yes	characteristic, complemented
956	#476	C₂²×C₃₁	1	1	yes	characteristic, complemented
957	#476	C₂²×C₃₁	1	1	yes	characteristic, complemented
958	#476	C₂²×C₃₁	1	1	yes	characteristic, complemented
959	#475	C₂²×C₃₁	1	1	yes	characteristic, complemented
960	#475	C₂²×C₃₁	1	1	yes	characteristic, complemented
961	#475	C₂²×C₃₁	1	1	yes	characteristic, complemented
962	#474	C₂²×C₃₁	1	1	yes	characteristic, complemented
963	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
964	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
965	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
966	#466	C₂²×C₃₁	1	1	yes	characteristic
967	#466	C₂²×C₃₁	1	1	yes	characteristic
968	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
969	#465	C₂²×C₃₁	1	1	yes	characteristic
970	#465	C₂²×C₃₁	1	1	yes	characteristic
971	#465	C₂²×C₃₁	1	1	yes	characteristic
972	#465	C₂²×C₃₁	1	1	yes	characteristic
973	#465	C₂²×C₃₁	1	1	yes	characteristic
974	#465	C₂²×C₃₁	1	1	yes	characteristic
975	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
976	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
977	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
978	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
979	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
980	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
981	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
982	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
983	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
984	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
985	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
986	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
987	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
988	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
989	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
990	#461	C₂²×C₃₁	1	1	yes	characteristic, complemented
991	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
992	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
993	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
994	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
995	#452	C₂²×C₃₁	1	1	yes	characteristic
996	#452	C₂²×C₃₁	1	1	yes	characteristic
997	#452	C₂²×C₃₁	1	1	yes	characteristic
998	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
999	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1000	#450	C₂²×C₃₁	1	1	yes	characteristic
1001	#450	C₂²×C₃₁	1	1	yes	characteristic
1002	#450	C₂²×C₃₁	1	1	yes	characteristic
1003	#449	C₂²×C₃₁	1	1	yes	characteristic
1004	#449	C₂²×C₃₁	1	1	yes	characteristic
1005	#449	C₂²×C₃₁	1	1	yes	characteristic
1006	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1007	#448	C₂²×C₃₁	1	1	yes	characteristic
1008	#448	C₂²×C₃₁	1	1	yes	characteristic
1009	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1010	#447	C₂²×C₃₁	1	1	yes	characteristic
1011	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1012	#442	C₂²×C₃₁	1	1	yes	characteristic, complemented
1013	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1014	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1015	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1016	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1017	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1018	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1019	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1020	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1021	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1022	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1023	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	C₄×D₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1027	#433	C₂²×C₃₁	1	1	yes	characteristic
1028	#433	C₂²×C₃₁	1	1	yes	characteristic
1029	#433	C₂²×C₃₁	1	1	yes	characteristic
1030	#433	C₂²×C₃₁	1	1	yes	characteristic
1031	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1032	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1033	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1034	#433	C₂²×C₃₁	1	1	yes	characteristic, complemented
1035	C₂×C₄⋊C₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1036	C₂×C₄⋊C₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1037	C₂×C₂²⋊C₈	C₂²×C₃₁	1	1	yes	characteristic
1038	C₂×C₂²⋊C₈	C₂²×C₃₁	1	1	yes	characteristic
1039	C₂×#97	C₂²×C₃₁	1	1	yes	characteristic, complemented
1040	C₂×C₄×C₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
1041	C₂×C₃₁	—	2	2	no	—
1042	C₂×C₃₁	—	4	1	no	—
1043	C₂×C₃₁	—	4	1	no	—
1044	C₂×C₃₁	—	8	1	no	—
1045	C₂×C₃₁	—	8	1	no	—
1046	C₂×C₃₁	—	8	1	no	—
1047	C₂×C₃₁	—	8	1	no	—
1048	C₂×C₃₁	#3449	1	1	yes	characteristic
1049	C₂×C₃₁	C₂×#577	1	1	yes	characteristic
1050	C₂×C₃₁	#3584	1	1	yes	characteristic
1051	C₂×#41	—	2	1	no	—
1052	C₂×#41	—	2	1	no	—
1053	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1054	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1055	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1056	C₂²×D₄	—	2	1	no	—
1057	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1058	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1059	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1060	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1061	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1062	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1063	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1064	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1065	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1066	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1067	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1068	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1069	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1070	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1071	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1072	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1073	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1074	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1075	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1076	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1077	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1078	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1079	C₄⋊Q₈	—	2	1	no	—
1080	C₄⋊Q₈	—	2	1	no	—
1081	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1082	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1083	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1084	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1085	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1086	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1087	#127	C₂³×C₃₁	1	1	yes	characteristic
1088	#127	C₂³×C₃₁	1	1	yes	characteristic
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	—	2	1	no	—
1093	#126	—	2	1	no	—
1094	#126	—	2	1	no	—
1095	#126	—	2	1	no	—
1096	#126	—	2	1	no	—
1097	#126	—	2	1	no	—
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#125	—	2	1	no	—
1102	#125	—	2	1	no	—
1103	#125	—	2	1	no	—
1104	#125	—	2	1	no	—
1105	#125	—	2	1	no	—
1106	#125	—	2	1	no	—
1107	#125	—	2	1	no	—
1108	#125	—	2	1	no	—
1109	#125	C₂³×C₃₁	1	1	yes	characteristic
1110	#125	C₂³×C₃₁	1	1	yes	characteristic
1111	#125	C₂³×C₃₁	1	1	yes	characteristic
1112	#125	C₂³×C₃₁	1	1	yes	characteristic
1113	#124	—	2	1	no	—
1114	#124	—	2	1	no	—
1115	#124	—	2	1	no	—
1116	#124	—	2	1	no	—
1117	#124	—	2	1	no	—
1118	#124	—	2	1	no	—
1119	#124	C₂³×C₃₁	1	1	yes	characteristic
1120	#124	C₂³×C₃₁	1	1	yes	characteristic
1121	#124	C₂³×C₃₁	1	1	yes	characteristic
1122	#124	C₂³×C₃₁	1	1	yes	characteristic
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	2	1	no	—
1153	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1154	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1155	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1156	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1157	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1158	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1159	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1160	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	C₂³×C₃₁	1	1	yes	characteristic
1172	#121	C₂³×C₃₁	1	1	yes	characteristic
1173	#121	C₂³×C₃₁	1	1	yes	characteristic
1174	#121	C₂³×C₃₁	1	1	yes	characteristic
1175	#121	C₂³×C₃₁	1	1	yes	characteristic
1176	#121	C₂³×C₃₁	1	1	yes	characteristic
1177	#121	C₂³×C₃₁	1	1	yes	characteristic
1178	#121	C₂³×C₃₁	1	1	yes	characteristic
1179	#120	—	2	1	no	—
1180	#120	—	2	1	no	—
1181	#120	—	2	1	no	—
1182	#120	—	2	1	no	—
1183	C₄×Q₈	—	2	1	no	—
1184	C₄×Q₈	—	2	1	no	—
1185	C₄×Q₈	—	2	1	no	—
1186	C₄×Q₈	—	2	1	no	—
1187	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1188	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1189	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1190	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1191	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1192	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1193	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1194	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1212	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1213	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1214	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1215	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1216	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1217	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1218	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1219	#117	—	2	1	no	—
1220	#117	—	2	1	no	—
1221	#117	—	2	1	no	—
1222	#117	—	2	1	no	—
1223	#117	—	2	1	no	—
1224	#117	—	2	1	no	—
1225	#117	—	2	1	no	—
1226	#117	—	2	1	no	—
1227	#117	—	2	1	no	—
1228	#117	—	2	1	no	—
1229	#117	D₄×C₃₁	1	1	yes	characteristic
1230	#117	D₄×C₃₁	1	1	yes	characteristic
1231	#117	D₄×C₃₁	1	1	yes	characteristic
1232	#117	D₄×C₃₁	1	1	yes	characteristic
1233	#117	C₂³×C₃₁	1	1	yes	characteristic
1234	#117	C₂³×C₃₁	1	1	yes	characteristic
1235	#117	C₂³×C₃₁	1	1	yes	characteristic
1236	#117	C₂³×C₃₁	1	1	yes	characteristic
1237	#117	C₂³×C₃₁	1	1	yes	characteristic
1238	#117	C₂³×C₃₁	1	1	yes	characteristic
1239	C₂×C₄⋊C₄	—	2	1	no	—
1240	C₂×C₄⋊C₄	—	2	1	no	—
1241	C₂×C₄⋊C₄	—	2	1	no	—
1242	C₂×C₄⋊C₄	D₄×C₃₁	1	1	yes	characteristic
1243	C₂×C₄⋊C₄	D₄×C₃₁	1	1	yes	characteristic
1244	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1245	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1246	C₂×C₂²⋊C₄	—	2	1	no	—
1247	C₂×C₂²⋊C₄	—	2	1	no	—
1248	C₂×C₂²⋊C₄	—	2	1	no	—
1249	C₂×C₂²⋊C₄	—	2	1	no	—
1250	C₂×C₂²⋊C₄	D₄×C₃₁	1	1	yes	characteristic
1251	C₂×C₂²⋊C₄	D₄×C₃₁	1	1	yes	characteristic
1252	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1253	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
1254	#107	C₂³×C₃₁	1	1	yes	characteristic
1255	#107	C₂³×C₃₁	1	1	yes	characteristic
1256	#107	C₂³×C₃₁	1	1	yes	characteristic
1257	#107	C₂³×C₃₁	1	1	yes	characteristic
1258	#107	C₂³×C₃₁	1	1	yes	characteristic
1259	#107	C₂³×C₃₁	1	1	yes	characteristic
1260	#106	C₂³×C₃₁	1	1	yes	characteristic
1261	#106	C₂³×C₃₁	1	1	yes	characteristic
1262	#106	C₂³×C₃₁	1	1	yes	characteristic
1263	#106	C₂³×C₃₁	1	1	yes	characteristic
1264	#106	C₂³×C₃₁	1	1	yes	characteristic
1265	#106	C₂³×C₃₁	1	1	yes	characteristic
1266	#106	C₂³×C₃₁	1	1	yes	characteristic
1267	#106	C₂³×C₃₁	1	1	yes	characteristic
1268	#106	C₂³×C₃₁	1	1	yes	characteristic
1269	#106	C₂³×C₃₁	1	1	yes	characteristic
1270	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1271	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1272	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1273	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1274	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1275	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1276	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1277	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1278	#103	C₂³×C₃₁	1	1	yes	characteristic
1279	#103	C₂³×C₃₁	1	1	yes	characteristic
1280	#103	C₂³×C₃₁	1	1	yes	characteristic
1281	#103	C₂³×C₃₁	1	1	yes	characteristic
1282	#103	C₂³×C₃₁	1	1	yes	characteristic
1283	#103	C₂³×C₃₁	1	1	yes	characteristic
1284	#103	C₂³×C₃₁	1	1	yes	characteristic
1285	#103	C₂³×C₃₁	1	1	yes	characteristic
1286	#103	C₂³×C₃₁	1	1	yes	characteristic
1287	#103	C₂³×C₃₁	1	1	yes	characteristic
1288	#103	C₂³×C₃₁	1	1	yes	characteristic
1289	#103	C₂³×C₃₁	1	1	yes	characteristic
1290	#103	C₂³×C₃₁	1	1	yes	characteristic
1291	#103	C₂³×C₃₁	1	1	yes	characteristic
1292	#103	C₂³×C₃₁	1	1	yes	characteristic
1293	#103	C₂³×C₃₁	1	1	yes	characteristic
1294	#102	C₂³×C₃₁	1	1	yes	characteristic
1295	#102	C₂³×C₃₁	1	1	yes	characteristic
1296	#102	C₂³×C₃₁	1	1	yes	characteristic
1297	#102	C₂³×C₃₁	1	1	yes	characteristic
1298	#102	C₂³×C₃₁	1	1	yes	characteristic
1299	#102	C₂³×C₃₁	1	1	yes	characteristic
1300	#102	C₂³×C₃₁	1	1	yes	characteristic
1301	#102	C₂³×C₃₁	1	1	yes	characteristic
1302	#102	C₂³×C₃₁	1	1	yes	characteristic
1303	#102	C₂³×C₃₁	1	1	yes	characteristic
1304	#102	C₂³×C₃₁	1	1	yes	characteristic
1305	#102	C₂³×C₃₁	1	1	yes	characteristic
1306	#102	C₂³×C₃₁	1	1	yes	characteristic
1307	#102	C₂³×C₃₁	1	1	yes	characteristic
1308	#102	C₂³×C₃₁	1	1	yes	characteristic
1309	#102	C₂³×C₃₁	1	1	yes	characteristic
1310	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1311	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1312	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1313	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1314	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1315	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1316	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1317	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1318	#97	C₂³×C₃₁	1	1	yes	characteristic
1319	#97	C₂³×C₃₁	1	1	yes	characteristic
1320	#97	C₂³×C₃₁	1	1	yes	characteristic
1321	#97	C₂³×C₃₁	1	1	yes	characteristic
1322	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1323	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1324	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1325	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1326	C₃₁	#61001	1	1	yes	characteristic, direct product factor, Sylow
1327	C₂⁴	—	2	1	no	—
1328	C₂⁴	C₂×D₄×C₃₁	1	1	yes	characteristic
1329	#41	—	4	1	no	—
1330	#41	—	4	1	no	—
1331	#41	—	4	1	no	—
1332	#41	—	4	1	no	—
1333	#41	—	8	2	no	—
1334	#41	—	8	2	no	—
1335	C₂×Q₈	—	2	1	no	—
1336	C₂×Q₈	—	2	1	no	—
1337	C₂×Q₈	—	2	1	no	—
1338	C₂×Q₈	—	2	1	no	—
1339	C₂×Q₈	—	2	1	no	—
1340	C₂×Q₈	—	4	1	no	—
1341	C₂×Q₈	—	4	1	no	—
1342	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1343	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1344	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1345	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	4	1	no	—
1362	C₂×D₄	—	4	1	no	—
1363	C₂×D₄	—	8	2	no	—
1364	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1365	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1366	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1367	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	4	1	no	—
1382	C₂²×C₄	—	4	1	no	—
1383	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1384	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1385	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1386	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1387	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1388	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1389	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1390	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1391	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1392	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1393	Q₁₆	—	4	1	no	—
1394	Q₁₆	—	4	1	no	—
1395	Q₁₆	—	4	1	no	—
1396	SD₁₆	—	4	1	no	—
1397	SD₁₆	—	4	1	no	—
1398	SD₁₆	—	4	1	no	—
1399	SD₁₆	—	4	1	no	—
1400	SD₁₆	—	4	1	no	—
1401	SD₁₆	—	4	1	no	—
1402	SD₁₆	—	4	1	no	—
1403	SD₁₆	—	4	1	no	—
1404	SD₁₆	—	4	1	no	—
1405	SD₁₆	—	4	1	no	—
1406	D₈	—	4	1	no	—
1407	D₈	—	4	1	no	—
1408	D₈	—	4	1	no	—
1409	C₂×C₈	—	4	1	no	—
1410	C₂×C₈	—	4	1	no	—
1411	C₂×C₈	—	4	1	no	—
1412	C₂×C₈	—	4	1	no	—
1413	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1414	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1415	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1416	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1417	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1418	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1419	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1420	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1456	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1457	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1458	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1459	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1460	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1461	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1462	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1463	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1464	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1465	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1466	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1467	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1468	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1469	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1470	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1506	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1507	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1509	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1510	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1511	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1512	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1513	C₄²	—	2	1	no	—
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	—	2	1	no	—
1521	C₄²	—	2	1	no	—
1522	C₄²	—	2	1	no	—
1523	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1524	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1525	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1526	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
1527	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1528	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1529	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1530	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1531	C₂³	—	2	2	no	—
1532	C₂³	—	2	1	no	—
1533	C₂³	—	2	1	no	—
1534	C₂³	—	2	1	no	—
1535	C₂³	—	2	1	no	—
1536	C₂³	—	4	1	no	—
1537	C₂³	—	4	1	no	—
1538	C₂³	—	4	2	no	—
1539	C₂³	—	8	1	no	—
1540	C₂³	—	8	1	no	—
1541	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1542	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1543	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1544	Q₈	—	2	1	no	—
1545	Q₈	—	2	1	no	—
1546	Q₈	—	2	1	no	—
1547	Q₈	—	2	1	no	—
1548	Q₈	—	2	1	no	—
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	2	1	no	—
1552	Q₈	—	4	2	no	—
1553	Q₈	—	8	1	no	—
1554	Q₈	—	8	1	no	—
1555	Q₈	—	8	1	no	—
1556	Q₈	—	8	1	no	—
1557	D₄	—	2	1	no	—
1558	D₄	—	2	1	no	—
1559	D₄	—	2	1	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	2	1	no	—
1563	D₄	—	2	1	no	—
1564	D₄	—	2	1	no	—
1565	D₄	—	4	2	no	—
1566	D₄	—	4	2	no	—
1567	D₄	—	4	2	no	—
1568	D₄	—	4	2	no	—
1569	D₄	—	4	2	no	—
1570	D₄	—	4	2	no	—
1571	D₄	—	4	2	no	—
1572	D₄	—	8	1	no	—
1573	D₄	—	8	1	no	—
1574	D₄	—	8	1	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	8	1	no	—
1577	D₄	—	8	1	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	8	1	no	—
1580	C₂×C₄	—	2	2	no	—
1581	C₂×C₄	—	2	2	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	4	1	no	—
1601	C₂×C₄	—	4	1	no	—
1602	C₂×C₄	—	4	1	no	—
1603	C₂×C₄	—	4	1	no	—
1604	C₂×C₄	—	4	1	no	—
1605	C₂×C₄	—	4	2	no	—
1606	C₂×C₄	—	4	2	no	—
1607	C₂×C₄	—	4	2	no	—
1608	C₂×C₄	—	8	1	no	—
1609	C₂×C₄	—	8	1	no	—
1610	C₂×C₄	—	8	1	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	—	8	1	no	—
1613	C₂×C₄	—	8	1	no	—
1614	C₂×C₄	—	8	1	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	—	8	1	no	—
1618	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1619	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1620	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1621	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1622	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1623	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1624	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1625	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1626	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1627	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1628	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1629	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	2	1	no	—
1635	C₈	—	2	1	no	—
1636	C₈	—	2	1	no	—
1637	C₈	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	8	2	no	—
1659	C₂²	—	16	2	no	—
1660	C₂²	C₃₁×#577	1	2	yes	—
1661	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	2	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	C₃₁×#585	1	1	yes	characteristic
1686	C₄	C₃₁×#585	1	1	yes	characteristic
1687	C₂	—	2	2	no	—
1688	C₂	—	4	1	no	—
1689	C₂	—	4	1	no	—
1690	C₂	—	8	1	no	—
1691	C₂	—	8	1	no	—
1692	C₂	—	8	1	no	—
1693	C₂	—	8	1	no	—
1694	C₂	C₃₁×#3449	1	1	yes	characteristic
1695	C₂	C₂×C₃₁×#577	1	1	yes	characteristic
1696	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 ◁ C₂×C₃₁×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3495	C₂	semidirect
2. C₃₁×#3494	C₂	semidirect
3. C₃₁×#3250	C₂	semidirect
4. C₃₁×#3248	C₂	semidirect
5. C₃₁×#3247	C₂	semidirect
6. C₃₁×#3246	C₂	semidirect
7. C₃₁×#3244	C₂	semidirect
8. C₃₁×#3244	C₂	semidirect
9. C₃₁×#3242	C₂	semidirect
10. C₃₁×#3241	C₂	semidirect
11. C₃₁×#3225	C₂	semidirect
12. C₃₁×#3224	C₂	semidirect
13. C₃₁×#3222	C₂	semidirect
14. C₃₁×#3221	C₂	semidirect
15. C₃₁×#3191	C₂	semidirect
16. C₃₁×#3190	C₂	semidirect
17. C₃₁×#3188	C₂	semidirect
18. C₃₁×#3187	C₂	semidirect
19. C₃₁×#3181	C₂	semidirect
20. C₃₁×#3180	C₂	semidirect
21. C₃₁×#3168	C₂	semidirect
22. C₃₁×#3167	C₂	semidirect
23. C₃₁×#3126	C₂	semidirect
24. C₃₁×#3125	C₂	semidirect
25. C₃₁×#3125	C₂	semidirect
26. C₃₁×#3123	C₂	semidirect
27. C₃₁×#3121	C₂	semidirect
28. C₃₁×#3120	C₂	semidirect
29. C₃₁×#3119	C₂	semidirect
30. C₃₁×#3118	C₂	semidirect
31. C₂×C₃₁×#433	C₂	semidirect
49. C₃₁×#544	C₂²	semidirect
58. C₃₁×#536	C₂²	semidirect
60. C₃₁×#533	C₂²	semidirect
61. C₃₁×#533	C₂²	semidirect
66. C₃₁×#529	C₂²	semidirect
67. C₃₁×#529	C₂²	semidirect
73. C₃₁×#520	C₂²	semidirect
74. C₃₁×#519	C₂²	semidirect
77. C₃₁×#501	C₂²	semidirect
78. C₃₁×#501	C₂²	semidirect
79. C₃₁×#499	C₂²	semidirect
80. C₃₁×#498	C₂²	semidirect
81. C₃₁×#497	C₂²	semidirect
82. C₃₁×#496	C₂²	semidirect
83. C₃₁×#495	C₂²	semidirect
84. C₃₁×#492	C₂²	semidirect
85. C₃₁×#491	C₂²	semidirect
86. C₃₁×#490	C₂²	semidirect
87. C₃₁×#489	C₂²	semidirect
88. C₃₁×#489	C₂²	semidirect
89. C₃₁×#488	C₂²	semidirect
90. C₃₁×#488	C₂²	semidirect
91. C₃₁×#487	C₂²	semidirect
92. C₃₁×#486	C₂²	semidirect
96. C₃₁×#485	C₂²	semidirect
100. C₃₁×#483	C₂²	semidirect
104. C₃₁×#482	C₂²	semidirect
108. C₃₁×#480	C₂²	semidirect
109. C₃₁×#479	C₂²	semidirect
110. C₃₁×#479	C₂²	semidirect
111. C₃₁×#479	C₂²	semidirect
112. C₃₁×#479	C₂²	semidirect
113. C₃₁×#478	C₂²	semidirect
114. C₃₁×#478	C₂²	semidirect
115. C₃₁×#478	C₂²	semidirect
116. C₃₁×#478	C₂²	semidirect
117. C₃₁×#477	C₂²	semidirect
118. C₃₁×#476	C₂²	semidirect
119. C₃₁×#476	C₂²	semidirect
120. C₃₁×#476	C₂²	semidirect
121. C₃₁×#475	C₂²	semidirect
122. C₃₁×#475	C₂²	semidirect
123. C₃₁×#475	C₂²	semidirect
124. C₃₁×#474	C₂²	semidirect
125. C₃₁×#467	C₂²	semidirect
126. C₃₁×#467	C₂²	semidirect
127. C₃₁×#467	C₂²	semidirect
130. C₃₁×#466	C₂²	semidirect
137. C₃₁×#465	C₂²	semidirect
138. C₃₁×#465	C₂²	semidirect
139. C₃₁×#465	C₂²	semidirect
140. C₃₁×#465	C₂²	semidirect
141. C₃₁×#464	C₂²	semidirect
142. C₃₁×#464	C₂²	semidirect
143. C₃₁×#464	C₂²	semidirect
144. C₃₁×#464	C₂²	semidirect
145. C₃₁×#463	C₂²	semidirect
146. C₃₁×#463	C₂²	semidirect
147. C₃₁×#463	C₂²	semidirect
148. C₃₁×#463	C₂²	semidirect
149. C₃₁×#462	C₂²	semidirect
150. C₃₁×#461	C₂²	semidirect
151. C₃₁×#461	C₂²	semidirect
152. C₃₁×#461	C₂²	semidirect
153. C₃₁×#460	C₂²	semidirect
154. C₃₁×#460	C₂²	semidirect
155. C₃₁×#460	C₂²	semidirect
156. C₃₁×#459	C₂²	semidirect
160. C₃₁×#452	C₂²	semidirect
161. C₃₁×#451	C₂²	semidirect
168. C₃₁×#449	C₂²	semidirect
171. C₃₁×#448	C₂²	semidirect
173. C₃₁×#442	C₂²	semidirect
174. C₃₁×#442	C₂²	semidirect
175. C₃₁×#441	C₂²	semidirect
176. C₃₁×#441	C₂²	semidirect
177. C₃₁×#440	C₂²	semidirect
178. C₃₁×#440	C₂²	semidirect
179. C₃₁×#440	C₂²	semidirect
180. C₃₁×#440	C₂²	semidirect
181. C₄×Q₁₆×C₃₁	C₂²	semidirect
182. C₄×SD₁₆×C₃₁	C₂²	semidirect
183. C₄×SD₁₆×C₃₁	C₂²	semidirect
184. C₄×SD₁₆×C₃₁	C₂²	semidirect
185. C₄×SD₁₆×C₃₁	C₂²	semidirect
186. C₄×SD₁₆×C₃₁	C₂²	semidirect
187. C₄×SD₁₆×C₃₁	C₂²	semidirect
188. C₄×D₈×C₃₁	C₂²	semidirect
193. C₃₁×#433	C₂²	semidirect
194. C₃₁×#433	C₂²	semidirect
195. C₃₁×#433	C₂²	semidirect
196. C₃₁×#433	C₂²	semidirect
197. C₂×C₃₁×C₄⋊C₈	C₂²	semidirect
198. C₂×C₃₁×C₄⋊C₈	C₂²	semidirect
201. C₂×C₃₁×#97	C₂²	semidirect
202. C₂×C₄×C₈×C₃₁	C₂²	semidirect
682. #61001	C₃₁	direct (N × H)
790. #3495	C₂×C₃₁	semidirect
791. #3494	C₂×C₃₁	semidirect
792. #3250	C₂×C₃₁	semidirect
793. #3248	C₂×C₃₁	semidirect
794. #3247	C₂×C₃₁	semidirect
795. #3246	C₂×C₃₁	semidirect
796. #3244	C₂×C₃₁	semidirect
797. #3244	C₂×C₃₁	semidirect
798. #3242	C₂×C₃₁	semidirect
799. #3241	C₂×C₃₁	semidirect
800. #3225	C₂×C₃₁	semidirect
801. #3224	C₂×C₃₁	semidirect
802. #3222	C₂×C₃₁	semidirect
803. #3221	C₂×C₃₁	semidirect
804. #3191	C₂×C₃₁	semidirect
805. #3190	C₂×C₃₁	semidirect
806. #3188	C₂×C₃₁	semidirect
807. #3187	C₂×C₃₁	semidirect
808. #3181	C₂×C₃₁	semidirect
809. #3180	C₂×C₃₁	semidirect
810. #3168	C₂×C₃₁	semidirect
811. #3167	C₂×C₃₁	semidirect
812. #3126	C₂×C₃₁	semidirect
813. #3125	C₂×C₃₁	semidirect
814. #3125	C₂×C₃₁	semidirect
815. #3123	C₂×C₃₁	semidirect
816. #3121	C₂×C₃₁	semidirect
817. #3120	C₂×C₃₁	semidirect
818. #3119	C₂×C₃₁	semidirect
819. #3118	C₂×C₃₁	semidirect
820. C₂×#433	C₂×C₃₁	semidirect
887. #544	C₂²×C₃₁	semidirect
896. #536	C₂²×C₃₁	semidirect
898. #533	C₂²×C₃₁	semidirect
899. #533	C₂²×C₃₁	semidirect
904. #529	C₂²×C₃₁	semidirect
905. #529	C₂²×C₃₁	semidirect
911. #520	C₂²×C₃₁	semidirect
912. #519	C₂²×C₃₁	semidirect
915. #501	C₂²×C₃₁	semidirect
916. #501	C₂²×C₃₁	semidirect
917. #499	C₂²×C₃₁	semidirect
918. #498	C₂²×C₃₁	semidirect
919. #497	C₂²×C₃₁	semidirect
920. #496	C₂²×C₃₁	semidirect
921. #495	C₂²×C₃₁	semidirect
922. #492	C₂²×C₃₁	semidirect
923. #491	C₂²×C₃₁	semidirect
924. #490	C₂²×C₃₁	semidirect
925. #489	C₂²×C₃₁	semidirect
926. #489	C₂²×C₃₁	semidirect
927. #488	C₂²×C₃₁	semidirect
928. #488	C₂²×C₃₁	semidirect
929. #487	C₂²×C₃₁	semidirect
930. #486	C₂²×C₃₁	semidirect
934. #485	C₂²×C₃₁	semidirect
938. #483	C₂²×C₃₁	semidirect
942. #482	C₂²×C₃₁	semidirect
946. #480	C₂²×C₃₁	semidirect
947. #479	C₂²×C₃₁	semidirect
948. #479	C₂²×C₃₁	semidirect
949. #479	C₂²×C₃₁	semidirect
950. #479	C₂²×C₃₁	semidirect
951. #478	C₂²×C₃₁	semidirect
952. #478	C₂²×C₃₁	semidirect
953. #478	C₂²×C₃₁	semidirect
954. #478	C₂²×C₃₁	semidirect
955. #477	C₂²×C₃₁	semidirect
956. #476	C₂²×C₃₁	semidirect
957. #476	C₂²×C₃₁	semidirect
958. #476	C₂²×C₃₁	semidirect
959. #475	C₂²×C₃₁	semidirect
960. #475	C₂²×C₃₁	semidirect
961. #475	C₂²×C₃₁	semidirect
962. #474	C₂²×C₃₁	semidirect
963. #467	C₂²×C₃₁	semidirect
964. #467	C₂²×C₃₁	semidirect
965. #467	C₂²×C₃₁	semidirect
968. #466	C₂²×C₃₁	semidirect
975. #465	C₂²×C₃₁	semidirect
976. #465	C₂²×C₃₁	semidirect
977. #465	C₂²×C₃₁	semidirect
978. #465	C₂²×C₃₁	semidirect
979. #464	C₂²×C₃₁	semidirect
980. #464	C₂²×C₃₁	semidirect
981. #464	C₂²×C₃₁	semidirect
982. #464	C₂²×C₃₁	semidirect
983. #463	C₂²×C₃₁	semidirect
984. #463	C₂²×C₃₁	semidirect
985. #463	C₂²×C₃₁	semidirect
986. #463	C₂²×C₃₁	semidirect
987. #462	C₂²×C₃₁	semidirect
988. #461	C₂²×C₃₁	semidirect
989. #461	C₂²×C₃₁	semidirect
990. #461	C₂²×C₃₁	semidirect
991. #460	C₂²×C₃₁	semidirect
992. #460	C₂²×C₃₁	semidirect
993. #460	C₂²×C₃₁	semidirect
994. #459	C₂²×C₃₁	semidirect
998. #452	C₂²×C₃₁	semidirect
999. #451	C₂²×C₃₁	semidirect
1006. #449	C₂²×C₃₁	semidirect
1009. #448	C₂²×C₃₁	semidirect
1011. #442	C₂²×C₃₁	semidirect
1012. #442	C₂²×C₃₁	semidirect
1013. #441	C₂²×C₃₁	semidirect
1014. #441	C₂²×C₃₁	semidirect
1015. #440	C₂²×C₃₁	semidirect
1016. #440	C₂²×C₃₁	semidirect
1017. #440	C₂²×C₃₁	semidirect
1018. #440	C₂²×C₃₁	semidirect
1019. C₄×Q₁₆	C₂²×C₃₁	semidirect
1020. C₄×SD₁₆	C₂²×C₃₁	semidirect
1021. C₄×SD₁₆	C₂²×C₃₁	semidirect
1022. C₄×SD₁₆	C₂²×C₃₁	semidirect
1023. C₄×SD₁₆	C₂²×C₃₁	semidirect
1024. C₄×SD₁₆	C₂²×C₃₁	semidirect
1025. C₄×SD₁₆	C₂²×C₃₁	semidirect
1026. C₄×D₈	C₂²×C₃₁	semidirect
1031. #433	C₂²×C₃₁	semidirect
1032. #433	C₂²×C₃₁	semidirect
1033. #433	C₂²×C₃₁	semidirect
1034. #433	C₂²×C₃₁	semidirect
1035. C₂×C₄⋊C₈	C₂²×C₃₁	semidirect
1036. C₂×C₄⋊C₈	C₂²×C₃₁	semidirect
1039. C₂×#97	C₂²×C₃₁	semidirect
1040. C₂×C₄×C₈	C₂²×C₃₁	semidirect
1326. C₃₁	#61001	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×#3495	2
C₃₁×#3494	2
C₃₁×#3250	2
C₃₁×#3248	2
C₃₁×#3247	2
C₃₁×#3246	2
C₃₁×#3244	2
C₃₁×#3242	2
C₃₁×#3241	2
C₃₁×#3225	2
C₃₁×#3224	2
C₃₁×#3222	2
C₃₁×#3221	2
C₃₁×#3191	2
C₃₁×#3190	2
C₃₁×#3188	2
C₃₁×#3187	2
C₃₁×#3181	2
C₃₁×#3180	2
C₃₁×#3168	2
C₃₁×#3167	2
C₃₁×#3126	2
C₃₁×#3125	2
C₃₁×#3123	2
C₃₁×#3121	2
C₃₁×#3120	2
C₃₁×#3119	2
C₃₁×#3118	2
C₂×C₃₁×#433	2
#61001	31

Subgroups — C31×#61001 #21517760

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61001 #21517760