Subgroups — C₃₁×#61615 #21518374

Order 7936.

2044 conjugacy classes of subgroups.

The subgroup lattice has 1866 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×#3487	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₁×#3333	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#3326	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₁×#3317	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₁×#3316	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₁×#3313	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₁×#3309	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₁×#3304	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₁×#3300	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₁×#3285	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₁×#3284	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₁×#3278	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₁×#3277	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₁×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₁×#3271	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₁×#3270	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₁×#3269	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×#3197	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₁×#3190	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃₁×#3127	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃₁×#3121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃₁×#3013	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃₁×#3011	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃₁×#3007	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃₁×#3002	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃₁×#2976	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₃₁×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
33	C₂²×#41×C₃₁	C₂²	1	1	yes	characteristic
34	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic
35	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic
36	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃₁×#137	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic
39	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic
40	C₂×C₃₁×#135	C₂²	1	1	yes	characteristic, complemented
41	C₂²×Q₁₆×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	C₃₁×#550	—	2	1	no	—
51	C₃₁×#550	—	2	1	no	—
52	C₃₁×#550	C₂²	1	1	yes	characteristic
53	C₃₁×#550	C₂²	1	1	yes	characteristic
54	C₃₁×#550	C₂²	1	1	yes	characteristic
55	C₃₁×#550	C₂²	1	1	yes	characteristic
56	D₄×Q₈×C₃₁	C₂²	1	1	yes	characteristic, complemented
57	C₃₁×#548	—	2	1	no	—
58	C₃₁×#548	—	2	1	no	—
59	C₃₁×#548	C₂²	1	1	yes	characteristic
60	C₃₁×#548	C₂²	1	1	yes	characteristic
61	C₃₁×#548	C₂²	1	1	yes	characteristic
62	C₃₁×#548	C₂²	1	1	yes	characteristic
63	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
64	C₃₁×#548	C₂²	1	1	yes	characteristic, complemented
65	C₃₁×#547	C₂²	1	1	yes	characteristic, complemented
66	C₃₁×#542	—	2	1	no	—
67	C₃₁×#542	C₂²	1	1	yes	characteristic
68	C₃₁×#541	C₂²	1	1	yes	characteristic
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
73	C₃₁×#536	C₂²	1	1	yes	characteristic
74	C₃₁×#535	—	2	1	no	—
75	C₃₁×#535	—	2	1	no	—
76	C₃₁×#535	C₂²	1	1	yes	characteristic
77	C₃₁×#535	C₂²	1	1	yes	characteristic
78	C₃₁×#525	—	2	1	no	—
79	C₃₁×#525	—	2	1	no	—
80	C₃₁×#525	C₂²	1	1	yes	characteristic
81	C₃₁×#525	C₂²	1	1	yes	characteristic
82	C₃₁×#525	C₂²	1	1	yes	characteristic
83	C₂×C₃₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
84	C₃₁×#519	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
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×#483	C₂²	1	1	yes	characteristic, complemented
98	C₃₁×#482	C₂²	1	1	yes	characteristic
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×#480	C₂²	1	1	yes	characteristic, complemented
104	C₃₁×#480	C₂²	1	1	yes	characteristic, complemented
105	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
106	C₃₁×#479	C₂²	1	1	yes	characteristic, complemented
107	C₃₁×#477	C₂²	1	1	yes	characteristic, complemented
108	C₃₁×#475	C₂²	1	1	yes	characteristic, complemented
109	C₃₁×#470	C₂²	1	1	yes	characteristic, complemented
110	C₃₁×#469	C₂²	1	1	yes	characteristic, 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×#467	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×#464	C₂²	1	1	yes	characteristic, complemented
129	C₃₁×#464	C₂²	1	1	yes	characteristic, complemented
130	C₃₁×#463	C₂²	1	1	yes	characteristic, complemented
131	C₃₁×#462	C₂²	1	1	yes	characteristic, complemented
132	C₃₁×#462	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
138	C₃₁×#452	C₂²	1	1	yes	characteristic
139	C₃₁×#452	C₂²	1	1	yes	characteristic
140	C₃₁×#452	C₂²	1	1	yes	characteristic
141	C₃₁×#452	C₂²	1	1	yes	characteristic
142	C₃₁×#452	C₂²	1	1	yes	characteristic
143	C₃₁×#452	C₂²	1	1	yes	characteristic
144	C₃₁×#452	C₂²	1	1	yes	characteristic
145	C₃₁×#452	C₂²	1	1	yes	characteristic
146	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
147	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
148	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
149	C₃₁×#452	C₂²	1	1	yes	characteristic, complemented
150	C₃₁×#451	C₂²	1	1	yes	characteristic
151	C₃₁×#451	C₂²	1	1	yes	characteristic
152	C₃₁×#451	C₂²	1	1	yes	characteristic
153	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
154	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
155	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
156	C₃₁×#451	C₂²	1	1	yes	characteristic, complemented
157	C₃₁×#450	C₂²	1	1	yes	characteristic
158	C₃₁×#450	C₂²	1	1	yes	characteristic
159	C₃₁×#450	C₂²	1	1	yes	characteristic
160	C₃₁×#449	C₂²	1	1	yes	characteristic
161	C₃₁×#449	C₂²	1	1	yes	characteristic
162	C₃₁×#449	C₂²	1	1	yes	characteristic
163	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
164	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
165	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
166	C₃₁×#449	C₂²	1	1	yes	characteristic, complemented
167	C₃₁×#448	C₂²	1	1	yes	characteristic
168	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
169	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
170	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
171	C₃₁×#448	C₂²	1	1	yes	characteristic, complemented
172	C₃₁×#447	C₂²	1	1	yes	characteristic
173	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
174	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
175	C₃₁×#441	C₂²	1	1	yes	characteristic, complemented
176	C₃₁×#440	C₂²	1	1	yes	characteristic, complemented
177	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
178	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
179	C₄×Q₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
180	C₄×SD₁₆×C₃₁	C₂²	1	1	yes	characteristic, complemented
181	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
182	C₃₁×#436	C₂²	1	1	yes	characteristic, complemented
183	C₃₁×#435	C₂²	1	1	yes	characteristic, 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
190	C₃₁×#433	C₂²	1	1	yes	characteristic
191	C₃₁×#419	C₂²	1	1	yes	characteristic, complemented
192	C₃₁×#417	C₂²	1	1	yes	characteristic
193	C₃₁×#417	C₂²	1	1	yes	characteristic
194	C₃₁×#417	C₂²	1	1	yes	characteristic, complemented
195	C₃₁×#416	C₂²	1	1	yes	characteristic
196	C₃₁×#416	C₂²	1	1	yes	characteristic
197	C₃₁×#416	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₃₁×#103	C₂²	1	1	yes	characteristic, complemented
199	C₃₁×#408	C₂²	1	1	yes	characteristic
200	C₃₁×#408	C₂²	1	1	yes	characteristic
201	C₃₁×#407	C₂²	1	1	yes	characteristic
202	C₂×C₃₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
203	C₃₁×2₋¹⁺⁴	—	4	2	no	—
204	C₃₁×2₋¹⁺⁴	—	4	2	no	—
205	C₂×#41×C₃₁	—	2	1	no	—
206	C₂×#41×C₃₁	—	2	1	no	—
207	C₂×#41×C₃₁	—	2	1	no	—
208	C₂×#41×C₃₁	—	2	1	no	—
209	C₂×#41×C₃₁	—	2	1	no	—
210	C₂×#41×C₃₁	—	4	2	no	—
211	C₂×#41×C₃₁	—	4	2	no	—
212	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
213	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
214	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
215	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
216	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
217	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
218	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
219	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
220	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
221	C₂×#41×C₃₁	C₂³	1	1	yes	characteristic
222	C₂²×Q₈×C₃₁	—	2	1	no	—
223	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
224	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
225	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
226	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
227	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
228	C₂²×D₄×C₃₁	—	2	1	no	—
229	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
230	C₂³×C₄×C₃₁	—	2	1	no	—
231	C₂³×C₄×C₃₁	C₂³	1	1	yes	characteristic
232	C₃₁×#137	—	4	2	no	—
233	C₃₁×#137	—	4	2	no	—
234	C₃₁×#137	—	4	2	no	—
235	C₃₁×#137	—	4	2	no	—
236	C₃₁×#135	—	4	2	no	—
237	C₃₁×#135	—	4	2	no	—
238	C₃₁×#135	—	4	2	no	—
239	C₂×Q₁₆×C₃₁	—	4	2	no	—
240	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
241	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
242	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
243	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
244	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
245	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
246	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
247	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
248	C₂×Q₁₆×C₃₁	C₂³	1	1	yes	characteristic
249	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
250	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
251	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
252	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
253	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
254	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
255	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
256	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
257	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
258	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
259	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
260	C₂×SD₁₆×C₃₁	C₂³	1	1	yes	characteristic
261	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
262	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
263	C₂×D₈×C₃₁	C₂³	1	1	yes	characteristic
264	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
265	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
266	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
267	C₂×M₁₆×C₃₁	C₂³	1	1	yes	characteristic
268	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
269	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
270	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
271	C₂²×C₈×C₃₁	C₂³	1	1	yes	characteristic
272	C₃₁×C₄⋊Q₈	—	2	1	no	—
273	C₃₁×C₄⋊Q₈	—	2	1	no	—
274	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
275	C₃₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
276	C₃₁×#127	—	2	1	no	—
277	C₃₁×#127	—	2	1	no	—
278	C₃₁×#127	—	2	1	no	—
279	C₃₁×#127	—	2	1	no	—
280	C₃₁×#127	—	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
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	—	2	1	no	—
302	C₃₁×#124	—	2	1	no	—
303	C₃₁×#124	—	2	1	no	—
304	C₃₁×#124	—	2	1	no	—
305	C₃₁×#124	C₂³	1	1	yes	characteristic
306	C₃₁×#124	C₂³	1	1	yes	characteristic
307	C₃₁×#124	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
330	C₃₁×C₂²⋊Q₈	—	2	1	no	—
331	C₃₁×C₂²⋊Q₈	—	2	1	no	—
332	C₃₁×C₂²⋊Q₈	—	2	1	no	—
333	C₃₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
334	C₃₁×C₂²⋊Q₈	D₄	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
340	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
341	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
342	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
343	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
344	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
345	C₃₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
346	C₃₁×#121	—	2	1	no	—
347	C₃₁×#121	—	2	1	no	—
348	C₃₁×#121	—	2	1	no	—
349	C₃₁×#121	—	2	1	no	—
350	C₃₁×#121	—	2	1	no	—
351	C₃₁×#121	—	2	1	no	—
352	C₃₁×#121	—	2	1	no	—
353	C₃₁×#121	—	2	1	no	—
354	C₃₁×#121	—	2	1	no	—
355	C₃₁×#121	—	2	1	no	—
356	C₃₁×#121	—	2	1	no	—
357	C₃₁×#121	—	2	1	no	—
358	C₃₁×#121	—	2	1	no	—
359	C₃₁×#121	—	2	1	no	—
360	C₃₁×#121	—	2	1	no	—
361	C₃₁×#121	—	2	1	no	—
362	C₃₁×#121	—	2	1	no	—
363	C₃₁×#121	—	2	1	no	—
364	C₃₁×#121	—	2	1	no	—
365	C₃₁×#121	—	2	1	no	—
366	C₃₁×#121	—	2	1	no	—
367	C₃₁×#121	D₄	1	1	yes	characteristic
368	C₃₁×#121	D₄	1	1	yes	characteristic
369	C₃₁×#121	C₂³	1	1	yes	characteristic
370	C₃₁×#121	C₂³	1	1	yes	characteristic
371	C₃₁×#121	C₂³	1	1	yes	characteristic
372	C₃₁×#121	C₂³	1	1	yes	characteristic
373	C₃₁×#121	C₂³	1	1	yes	characteristic
374	C₃₁×#121	C₂³	1	1	yes	characteristic
375	C₃₁×#121	C₂³	1	1	yes	characteristic
376	C₃₁×#121	C₂³	1	1	yes	characteristic
377	C₃₁×#121	C₂³	1	1	yes	characteristic
378	C₃₁×#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	D₄	1	1	yes	characteristic
385	C₃₁×#120	D₄	1	1	yes	characteristic
386	C₄×Q₈×C₃₁	—	2	1	no	—
387	C₄×Q₈×C₃₁	—	2	1	no	—
388	C₄×Q₈×C₃₁	—	2	1	no	—
389	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
390	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
391	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
392	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
393	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
394	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
395	C₄×Q₈×C₃₁	C₂³	1	1	yes	characteristic
396	C₄×D₄×C₃₁	—	2	1	no	—
397	C₄×D₄×C₃₁	—	2	1	no	—
398	C₄×D₄×C₃₁	—	2	1	no	—
399	C₄×D₄×C₃₁	—	2	1	no	—
400	C₄×D₄×C₃₁	—	2	1	no	—
401	C₄×D₄×C₃₁	—	2	1	no	—
402	C₄×D₄×C₃₁	—	2	1	no	—
403	C₄×D₄×C₃₁	—	2	1	no	—
404	C₄×D₄×C₃₁	—	2	1	no	—
405	C₄×D₄×C₃₁	—	2	1	no	—
406	C₄×D₄×C₃₁	—	2	1	no	—
407	C₄×D₄×C₃₁	—	2	1	no	—
408	C₄×D₄×C₃₁	—	2	1	no	—
409	C₄×D₄×C₃₁	—	2	1	no	—
410	C₄×D₄×C₃₁	—	2	1	no	—
411	C₄×D₄×C₃₁	—	2	1	no	—
412	C₄×D₄×C₃₁	—	2	1	no	—
413	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
414	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
415	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
416	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
417	C₄×D₄×C₃₁	C₂³	1	1	yes	characteristic
418	C₃₁×#117	—	2	1	no	—
419	C₃₁×#117	—	2	1	no	—
420	C₃₁×#117	—	2	1	no	—
421	C₃₁×#117	C₂³	1	1	yes	characteristic
422	C₃₁×#117	C₂³	1	1	yes	characteristic
423	C₃₁×#117	C₂³	1	1	yes	characteristic
424	C₃₁×#117	C₂³	1	1	yes	characteristic
425	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
426	C₂×C₄⋊C₄×C₃₁	—	2	1	no	—
427	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
428	C₂×C₄⋊C₄×C₃₁	C₂³	1	1	yes	characteristic
429	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
430	C₃₁×#107	C₂³	1	1	yes	characteristic
431	C₃₁×#107	C₂³	1	1	yes	characteristic
432	C₃₁×#107	C₂³	1	1	yes	characteristic
433	C₃₁×#107	C₂³	1	1	yes	characteristic
434	C₃₁×#106	C₂³	1	1	yes	characteristic
435	C₃₁×#106	C₂³	1	1	yes	characteristic
436	C₃₁×#106	C₂³	1	1	yes	characteristic
437	C₃₁×#106	C₂³	1	1	yes	characteristic
438	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
441	C₃₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
442	C₃₁×#103	C₂³	1	1	yes	characteristic
443	C₃₁×#103	C₂³	1	1	yes	characteristic
444	C₃₁×#103	C₂³	1	1	yes	characteristic
445	C₃₁×#103	C₂³	1	1	yes	characteristic
446	C₃₁×#103	C₂³	1	1	yes	characteristic
447	C₃₁×#103	C₂³	1	1	yes	characteristic
448	C₃₁×#103	C₂³	1	1	yes	characteristic
449	C₃₁×#103	C₂³	1	1	yes	characteristic
450	C₃₁×#103	C₂³	1	1	yes	characteristic
451	C₃₁×#103	C₂³	1	1	yes	characteristic
452	C₃₁×#103	C₂³	1	1	yes	characteristic
453	C₃₁×#103	C₂³	1	1	yes	characteristic
454	C₃₁×#103	C₂³	1	1	yes	characteristic
455	C₃₁×#103	C₂³	1	1	yes	characteristic
456	C₃₁×#103	C₂³	1	1	yes	characteristic
457	C₃₁×#103	C₂³	1	1	yes	characteristic
458	C₃₁×#103	C₂³	1	1	yes	characteristic
459	C₃₁×#103	C₂³	1	1	yes	characteristic
460	C₃₁×#102	C₂³	1	1	yes	characteristic
461	C₃₁×#102	C₂³	1	1	yes	characteristic
462	C₃₁×#102	C₂³	1	1	yes	characteristic
463	C₃₁×#102	C₂³	1	1	yes	characteristic
464	C₃₁×#102	C₂³	1	1	yes	characteristic
465	C₃₁×#102	C₂³	1	1	yes	characteristic
466	C₃₁×#102	C₂³	1	1	yes	characteristic
467	C₃₁×#102	C₂³	1	1	yes	characteristic
468	C₃₁×#102	C₂³	1	1	yes	characteristic
469	C₃₁×#102	C₂³	1	1	yes	characteristic
470	C₃₁×#102	C₂³	1	1	yes	characteristic
471	C₃₁×#102	C₂³	1	1	yes	characteristic
472	C₃₁×#102	C₂³	1	1	yes	characteristic
473	C₃₁×#102	C₂³	1	1	yes	characteristic
474	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
479	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
480	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
481	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
482	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
483	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
484	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
485	C₃₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
486	C₃₁×#97	C₂³	1	1	yes	characteristic
487	C₃₁×#97	C₂³	1	1	yes	characteristic
488	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
489	C₄×C₈×C₃₁	C₂³	1	1	yes	characteristic
490	C₂⁴×C₃₁	—	2	1	no	—
491	C₂⁴×C₃₁	C₂×D₄	1	1	yes	characteristic
492	#41×C₃₁	—	2	2	no	—
493	#41×C₃₁	—	2	2	no	—
494	#41×C₃₁	—	2	2	no	—
495	#41×C₃₁	—	2	2	no	—
496	#41×C₃₁	—	2	2	no	—
497	#41×C₃₁	—	2	2	no	—
498	#41×C₃₁	—	4	1	no	—
499	#41×C₃₁	—	4	1	no	—
500	#41×C₃₁	—	4	1	no	—
501	#41×C₃₁	—	4	1	no	—
502	#41×C₃₁	—	4	1	no	—
503	#41×C₃₁	—	4	1	no	—
504	#41×C₃₁	—	4	1	no	—
505	#41×C₃₁	—	4	1	no	—
506	#41×C₃₁	—	4	1	no	—
507	#41×C₃₁	—	4	1	no	—
508	#41×C₃₁	—	4	4	no	—
509	#41×C₃₁	—	4	4	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	#41×C₃₁	—	4	4	no	—
516	#41×C₃₁	—	4	4	no	—
517	C₂×Q₈×C₃₁	—	2	2	no	—
518	C₂×Q₈×C₃₁	—	2	2	no	—
519	C₂×Q₈×C₃₁	—	2	1	no	—
520	C₂×Q₈×C₃₁	—	2	1	no	—
521	C₂×Q₈×C₃₁	—	2	1	no	—
522	C₂×Q₈×C₃₁	—	2	1	no	—
523	C₂×Q₈×C₃₁	—	2	1	no	—
524	C₂×Q₈×C₃₁	—	2	1	no	—
525	C₂×Q₈×C₃₁	—	2	2	no	—
526	C₂×Q₈×C₃₁	—	2	2	no	—
527	C₂×Q₈×C₃₁	—	4	1	no	—
528	C₂×Q₈×C₃₁	—	4	1	no	—
529	C₂×Q₈×C₃₁	—	4	1	no	—
530	C₂×Q₈×C₃₁	—	4	1	no	—
531	C₂×Q₈×C₃₁	—	4	1	no	—
532	C₂×Q₈×C₃₁	—	4	1	no	—
533	C₂×Q₈×C₃₁	—	4	4	no	—
534	C₂×Q₈×C₃₁	C₂×D₄	1	1	yes	characteristic
535	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
536	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
537	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
538	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
539	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
540	C₂×Q₈×C₃₁	C₂⁴	1	1	yes	characteristic
541	C₂×D₄×C₃₁	—	2	1	no	—
542	C₂×D₄×C₃₁	—	2	1	no	—
543	C₂×D₄×C₃₁	—	2	1	no	—
544	C₂×D₄×C₃₁	—	2	1	no	—
545	C₂×D₄×C₃₁	—	2	1	no	—
546	C₂×D₄×C₃₁	—	2	1	no	—
547	C₂×D₄×C₃₁	—	2	1	no	—
548	C₂×D₄×C₃₁	—	2	1	no	—
549	C₂×D₄×C₃₁	—	2	1	no	—
550	C₂×D₄×C₃₁	—	2	1	no	—
551	C₂×D₄×C₃₁	—	2	1	no	—
552	C₂×D₄×C₃₁	—	2	1	no	—
553	C₂×D₄×C₃₁	—	2	1	no	—
554	C₂×D₄×C₃₁	—	2	1	no	—
555	C₂×D₄×C₃₁	—	2	1	no	—
556	C₂×D₄×C₃₁	—	2	1	no	—
557	C₂×D₄×C₃₁	—	2	1	no	—
558	C₂×D₄×C₃₁	—	2	1	no	—
559	C₂×D₄×C₃₁	—	2	1	no	—
560	C₂×D₄×C₃₁	—	2	1	no	—
561	C₂×D₄×C₃₁	—	2	1	no	—
562	C₂×D₄×C₃₁	—	2	1	no	—
563	C₂×D₄×C₃₁	—	2	1	no	—
564	C₂×D₄×C₃₁	—	4	1	no	—
565	C₂×D₄×C₃₁	—	4	1	no	—
566	C₂×D₄×C₃₁	—	4	4	no	—
567	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
568	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
569	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
570	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
571	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
572	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
573	C₂×D₄×C₃₁	C₂×D₄	1	1	yes	characteristic
574	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
575	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
576	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
577	C₂×D₄×C₃₁	C₂⁴	1	1	yes	characteristic
578	C₂²×C₄×C₃₁	—	2	1	no	—
579	C₂²×C₄×C₃₁	—	2	1	no	—
580	C₂²×C₄×C₃₁	—	2	1	no	—
581	C₂²×C₄×C₃₁	—	2	1	no	—
582	C₂²×C₄×C₃₁	—	2	1	no	—
583	C₂²×C₄×C₃₁	—	2	1	no	—
584	C₂²×C₄×C₃₁	—	2	1	no	—
585	C₂²×C₄×C₃₁	—	2	1	no	—
586	C₂²×C₄×C₃₁	—	2	1	no	—
587	C₂²×C₄×C₃₁	—	2	1	no	—
588	C₂²×C₄×C₃₁	—	2	1	no	—
589	C₂²×C₄×C₃₁	—	2	1	no	—
590	C₂²×C₄×C₃₁	—	2	1	no	—
591	C₂²×C₄×C₃₁	—	2	1	no	—
592	C₂²×C₄×C₃₁	—	2	1	no	—
593	C₂²×C₄×C₃₁	—	2	1	no	—
594	C₂²×C₄×C₃₁	—	2	1	no	—
595	C₂²×C₄×C₃₁	—	4	1	no	—
596	C₂²×C₄×C₃₁	—	4	1	no	—
597	C₂²×C₄×C₃₁	—	4	4	no	—
598	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
599	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
600	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
601	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
602	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
603	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
604	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
605	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
606	Q₁₆×C₃₁	—	2	2	no	—
607	Q₁₆×C₃₁	—	2	2	no	—
608	Q₁₆×C₃₁	—	2	2	no	—
609	Q₁₆×C₃₁	—	2	2	no	—
610	Q₁₆×C₃₁	—	2	2	no	—
611	Q₁₆×C₃₁	—	2	2	no	—
612	Q₁₆×C₃₁	—	4	1	no	—
613	Q₁₆×C₃₁	—	4	1	no	—
614	Q₁₆×C₃₁	—	4	1	no	—
615	SD₁₆×C₃₁	—	2	2	no	—
616	SD₁₆×C₃₁	—	2	2	no	—
617	SD₁₆×C₃₁	—	4	1	no	—
618	SD₁₆×C₃₁	—	4	1	no	—
619	SD₁₆×C₃₁	—	4	1	no	—
620	SD₁₆×C₃₁	—	4	1	no	—
621	SD₁₆×C₃₁	—	4	1	no	—
622	SD₁₆×C₃₁	—	4	1	no	—
623	SD₁₆×C₃₁	—	4	1	no	—
624	SD₁₆×C₃₁	—	4	1	no	—
625	SD₁₆×C₃₁	—	4	1	no	—
626	SD₁₆×C₃₁	—	4	1	no	—
627	D₈×C₃₁	—	4	1	no	—
628	D₈×C₃₁	—	4	1	no	—
629	D₈×C₃₁	—	4	1	no	—
630	M₁₆×C₃₁	—	4	1	no	—
631	M₁₆×C₃₁	—	4	1	no	—
632	M₁₆×C₃₁	—	4	1	no	—
633	M₁₆×C₃₁	—	4	1	no	—
634	C₂×C₈×C₃₁	—	4	1	no	—
635	C₂×C₈×C₃₁	—	4	1	no	—
636	C₂×C₈×C₃₁	—	4	1	no	—
637	C₂×C₈×C₃₁	—	4	1	no	—
638	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
639	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
640	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
641	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
642	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
643	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
644	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
645	C₂×C₈×C₃₁	C₂⁴	1	1	yes	characteristic
646	C₄⋊C₄×C₃₁	—	2	1	no	—
647	C₄⋊C₄×C₃₁	—	2	1	no	—
648	C₄⋊C₄×C₃₁	—	2	1	no	—
649	C₄⋊C₄×C₃₁	—	2	1	no	—
650	C₄⋊C₄×C₃₁	—	2	1	no	—
651	C₄⋊C₄×C₃₁	—	2	1	no	—
652	C₄⋊C₄×C₃₁	—	2	1	no	—
653	C₄⋊C₄×C₃₁	—	2	1	no	—
654	C₄⋊C₄×C₃₁	—	2	1	no	—
655	C₄⋊C₄×C₃₁	—	2	1	no	—
656	C₄⋊C₄×C₃₁	—	2	1	no	—
657	C₄⋊C₄×C₃₁	—	2	1	no	—
658	C₄⋊C₄×C₃₁	—	2	1	no	—
659	C₄⋊C₄×C₃₁	—	2	1	no	—
660	C₄⋊C₄×C₃₁	—	2	1	no	—
661	C₄⋊C₄×C₃₁	—	2	1	no	—
662	C₄⋊C₄×C₃₁	—	2	1	no	—
663	C₄⋊C₄×C₃₁	—	2	1	no	—
664	C₄⋊C₄×C₃₁	—	2	1	no	—
665	C₄⋊C₄×C₃₁	—	2	1	no	—
666	C₄⋊C₄×C₃₁	—	2	1	no	—
667	C₄⋊C₄×C₃₁	—	2	1	no	—
668	C₄⋊C₄×C₃₁	—	2	1	no	—
669	C₄⋊C₄×C₃₁	—	2	1	no	—
670	C₄⋊C₄×C₃₁	—	2	1	no	—
671	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
672	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
673	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
674	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
675	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
676	C₄⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
677	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
678	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
679	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
680	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
681	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
682	C₄⋊C₄×C₃₁	C₂⁴	1	1	yes	characteristic
683	C₂²⋊C₄×C₃₁	—	2	1	no	—
684	C₂²⋊C₄×C₃₁	—	2	1	no	—
685	C₂²⋊C₄×C₃₁	—	2	1	no	—
686	C₂²⋊C₄×C₃₁	—	2	1	no	—
687	C₂²⋊C₄×C₃₁	—	2	1	no	—
688	C₂²⋊C₄×C₃₁	—	2	1	no	—
689	C₂²⋊C₄×C₃₁	—	2	1	no	—
690	C₂²⋊C₄×C₃₁	—	2	1	no	—
691	C₂²⋊C₄×C₃₁	—	2	1	no	—
692	C₂²⋊C₄×C₃₁	—	2	1	no	—
693	C₂²⋊C₄×C₃₁	—	2	1	no	—
694	C₂²⋊C₄×C₃₁	—	2	1	no	—
695	C₂²⋊C₄×C₃₁	—	2	1	no	—
696	C₂²⋊C₄×C₃₁	—	2	1	no	—
697	C₂²⋊C₄×C₃₁	—	2	1	no	—
698	C₂²⋊C₄×C₃₁	—	2	1	no	—
699	C₂²⋊C₄×C₃₁	—	2	1	no	—
700	C₂²⋊C₄×C₃₁	—	2	1	no	—
701	C₂²⋊C₄×C₃₁	—	2	1	no	—
702	C₂²⋊C₄×C₃₁	—	2	1	no	—
703	C₂²⋊C₄×C₃₁	—	2	1	no	—
704	C₂²⋊C₄×C₃₁	—	2	1	no	—
705	C₂²⋊C₄×C₃₁	—	2	1	no	—
706	C₂²⋊C₄×C₃₁	—	2	1	no	—
707	C₂²⋊C₄×C₃₁	—	2	1	no	—
708	C₂²⋊C₄×C₃₁	—	2	1	no	—
709	C₂²⋊C₄×C₃₁	—	2	1	no	—
710	C₂²⋊C₄×C₃₁	—	2	1	no	—
711	C₂²⋊C₄×C₃₁	—	2	1	no	—
712	C₂²⋊C₄×C₃₁	—	2	1	no	—
713	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
714	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
715	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
716	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
717	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
718	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
719	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
720	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
721	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
722	C₂²⋊C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
723	C₄²×C₃₁	—	2	1	no	—
724	C₄²×C₃₁	—	2	1	no	—
725	C₄²×C₃₁	—	2	1	no	—
726	C₄²×C₃₁	—	2	1	no	—
727	C₄²×C₃₁	—	2	1	no	—
728	C₄²×C₃₁	—	2	1	no	—
729	C₄²×C₃₁	—	2	1	no	—
730	C₄²×C₃₁	—	2	1	no	—
731	C₄²×C₃₁	—	2	1	no	—
732	C₄²×C₃₁	—	2	1	no	—
733	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
734	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
735	#61615	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
736	C₂³×C₃₁	—	2	1	no	—
737	C₂³×C₃₁	—	2	1	no	—
738	C₂³×C₃₁	—	2	1	no	—
739	C₂³×C₃₁	—	2	1	no	—
740	C₂³×C₃₁	—	4	1	no	—
741	C₂³×C₃₁	—	4	1	no	—
742	C₂³×C₃₁	—	4	1	no	—
743	C₂³×C₃₁	—	4	2	no	—
744	C₂³×C₃₁	—	8	1	no	—
745	C₂³×C₃₁	—	8	1	no	—
746	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
747	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
748	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
749	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
750	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
751	Q₈×C₃₁	—	2	4	no	—
752	Q₈×C₃₁	—	2	1	no	—
753	Q₈×C₃₁	—	2	1	no	—
754	Q₈×C₃₁	—	2	1	no	—
755	Q₈×C₃₁	—	2	1	no	—
756	Q₈×C₃₁	—	2	1	no	—
757	Q₈×C₃₁	—	2	1	no	—
758	Q₈×C₃₁	—	2	1	no	—
759	Q₈×C₃₁	—	2	1	no	—
760	Q₈×C₃₁	—	2	1	no	—
761	Q₈×C₃₁	—	2	1	no	—
762	Q₈×C₃₁	—	4	1	no	—
763	Q₈×C₃₁	—	4	2	no	—
764	Q₈×C₃₁	—	4	2	no	—
765	Q₈×C₃₁	—	8	1	no	—
766	Q₈×C₃₁	—	8	1	no	—
767	Q₈×C₃₁	—	8	1	no	—
768	Q₈×C₃₁	H(5,𝔽₂)	1	2	yes	—
769	Q₈×C₃₁	H(5,𝔽₂)	1	2	yes	—
770	D₄×C₃₁	—	2	1	no	—
771	D₄×C₃₁	—	2	1	no	—
772	D₄×C₃₁	—	2	1	no	—
773	D₄×C₃₁	—	2	1	no	—
774	D₄×C₃₁	—	2	1	no	—
775	D₄×C₃₁	—	2	1	no	—
776	D₄×C₃₁	—	2	1	no	—
777	D₄×C₃₁	—	2	1	no	—
778	D₄×C₃₁	—	4	1	no	—
779	D₄×C₃₁	—	4	1	no	—
780	D₄×C₃₁	—	4	1	no	—
781	D₄×C₃₁	—	4	1	no	—
782	D₄×C₃₁	—	4	1	no	—
783	D₄×C₃₁	—	4	1	no	—
784	D₄×C₃₁	—	4	1	no	—
785	D₄×C₃₁	—	4	2	no	—
786	D₄×C₃₁	—	4	2	no	—
787	D₄×C₃₁	—	4	2	no	—
788	D₄×C₃₁	—	4	2	no	—
789	D₄×C₃₁	—	4	2	no	—
790	D₄×C₃₁	—	4	2	no	—
791	D₄×C₃₁	—	4	2	no	—
792	D₄×C₃₁	—	4	2	no	—
793	D₄×C₃₁	—	4	2	no	—
794	D₄×C₃₁	—	8	1	no	—
795	D₄×C₃₁	—	8	1	no	—
796	D₄×C₃₁	—	8	1	no	—
797	D₄×C₃₁	—	8	1	no	—
798	D₄×C₃₁	—	8	1	no	—
799	D₄×C₃₁	—	8	1	no	—
800	D₄×C₃₁	—	8	1	no	—
801	D₄×C₃₁	—	8	1	no	—
802	D₄×C₃₁	—	8	1	no	—
803	D₄×C₃₁	—	8	1	no	—
804	D₄×C₃₁	—	8	1	no	—
805	D₄×C₃₁	—	8	1	no	—
806	D₄×C₃₁	—	8	1	no	—
807	D₄×C₃₁	—	8	1	no	—
808	C₂×C₄×C₃₁	—	2	4	no	—
809	C₂×C₄×C₃₁	—	2	1	no	—
810	C₂×C₄×C₃₁	—	2	1	no	—
811	C₂×C₄×C₃₁	—	2	1	no	—
812	C₂×C₄×C₃₁	—	2	1	no	—
813	C₂×C₄×C₃₁	—	2	1	no	—
814	C₂×C₄×C₃₁	—	2	1	no	—
815	C₂×C₄×C₃₁	—	2	1	no	—
816	C₂×C₄×C₃₁	—	2	1	no	—
817	C₂×C₄×C₃₁	—	2	1	no	—
818	C₂×C₄×C₃₁	—	2	1	no	—
819	C₂×C₄×C₃₁	—	2	1	no	—
820	C₂×C₄×C₃₁	—	2	1	no	—
821	C₂×C₄×C₃₁	—	2	1	no	—
822	C₂×C₄×C₃₁	—	2	1	no	—
823	C₂×C₄×C₃₁	—	2	1	no	—
824	C₂×C₄×C₃₁	—	2	1	no	—
825	C₂×C₄×C₃₁	—	2	1	no	—
826	C₂×C₄×C₃₁	—	2	1	no	—
827	C₂×C₄×C₃₁	—	2	1	no	—
828	C₂×C₄×C₃₁	—	2	1	no	—
829	C₂×C₄×C₃₁	—	2	1	no	—
830	C₂×C₄×C₃₁	—	2	1	no	—
831	C₂×C₄×C₃₁	—	4	1	no	—
832	C₂×C₄×C₃₁	—	4	1	no	—
833	C₂×C₄×C₃₁	—	4	1	no	—
834	C₂×C₄×C₃₁	—	4	2	no	—
835	C₂×C₄×C₃₁	—	4	2	no	—
836	C₂×C₄×C₃₁	—	4	2	no	—
837	C₂×C₄×C₃₁	—	4	2	no	—
838	C₂×C₄×C₃₁	—	4	2	no	—
839	C₂×C₄×C₃₁	—	4	2	no	—
840	C₂×C₄×C₃₁	—	4	2	no	—
841	C₂×C₄×C₃₁	—	4	2	no	—
842	C₂×C₄×C₃₁	—	4	2	no	—
843	C₂×C₄×C₃₁	—	8	1	no	—
844	C₂×C₄×C₃₁	—	8	1	no	—
845	C₂×C₄×C₃₁	—	8	1	no	—
846	C₂×C₄×C₃₁	—	8	1	no	—
847	C₂×C₄×C₃₁	—	8	1	no	—
848	C₂×C₄×C₃₁	—	8	1	no	—
849	C₂×C₄×C₃₁	—	8	1	no	—
850	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
851	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
852	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
853	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
854	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
855	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
856	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
857	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
858	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
859	C₂×C₄×C₃₁	C₂⁵	1	1	yes	characteristic
860	C₈×C₃₁	—	2	1	no	—
861	C₈×C₃₁	—	2	1	no	—
862	C₈×C₃₁	—	2	1	no	—
863	C₈×C₃₁	—	2	1	no	—
864	C₈×C₃₁	—	2	1	no	—
865	C₈×C₃₁	—	2	1	no	—
866	C₈×C₃₁	—	2	1	no	—
867	C₈×C₃₁	—	2	1	no	—
868	#3541	C₂×C₃₁	1	1	yes	characteristic, complemented
869	#3487	C₂×C₃₁	1	1	yes	characteristic, complemented
870	#3333	C₂×C₃₁	1	1	yes	characteristic, complemented
871	#3326	C₂×C₃₁	1	1	yes	characteristic, complemented
872	#3317	C₂×C₃₁	1	1	yes	characteristic, complemented
873	#3316	C₂×C₃₁	1	1	yes	characteristic, complemented
874	#3313	C₂×C₃₁	1	1	yes	characteristic, complemented
875	#3309	C₂×C₃₁	1	1	yes	characteristic, complemented
876	#3304	C₂×C₃₁	1	1	yes	characteristic, complemented
877	#3300	C₂×C₃₁	1	1	yes	characteristic, complemented
878	#3285	C₂×C₃₁	1	1	yes	characteristic, complemented
879	#3284	C₂×C₃₁	1	1	yes	characteristic, complemented
880	#3278	C₂×C₃₁	1	1	yes	characteristic, complemented
881	#3277	C₂×C₃₁	1	1	yes	characteristic, complemented
882	#3271	C₂×C₃₁	1	1	yes	characteristic, complemented
883	#3271	C₂×C₃₁	1	1	yes	characteristic, complemented
884	#3270	C₂×C₃₁	1	1	yes	characteristic, complemented
885	#3269	C₂×C₃₁	1	1	yes	characteristic, complemented
886	#3224	C₂×C₃₁	1	1	yes	characteristic, complemented
887	#3222	C₂×C₃₁	1	1	yes	characteristic, complemented
888	#3200	C₂×C₃₁	1	1	yes	characteristic, complemented
889	#3198	C₂×C₃₁	1	1	yes	characteristic, complemented
890	#3197	C₂×C₃₁	1	1	yes	characteristic, complemented
891	#3190	C₂×C₃₁	1	1	yes	characteristic, complemented
892	#3127	C₂×C₃₁	1	1	yes	characteristic, complemented
893	#3121	C₂×C₃₁	1	1	yes	characteristic, complemented
894	#3013	C₂×C₃₁	1	1	yes	characteristic, complemented
895	#3011	C₂×C₃₁	1	1	yes	characteristic, complemented
896	#3007	C₂×C₃₁	1	1	yes	characteristic, complemented
897	#3002	C₂×C₃₁	1	1	yes	characteristic, complemented
898	#2976	C₂×C₃₁	1	1	yes	characteristic, complemented
899	C₂²×C₃₁	—	2	1	no	—
900	C₂²×C₃₁	—	2	1	no	—
901	C₂²×C₃₁	—	2	1	no	—
902	C₂²×C₃₁	—	2	1	no	—
903	C₂²×C₃₁	—	2	1	no	—
904	C₂²×C₃₁	—	2	1	no	—
905	C₂²×C₃₁	—	2	1	no	—
906	C₂²×C₃₁	—	2	1	no	—
907	C₂²×C₃₁	—	2	1	no	—
908	C₂²×C₃₁	—	2	1	no	—
909	C₂²×C₃₁	—	2	1	no	—
910	C₂²×C₃₁	—	2	1	no	—
911	C₂²×C₃₁	—	2	1	no	—
912	C₂²×C₃₁	—	2	1	no	—
913	C₂²×C₃₁	—	2	1	no	—
914	C₂²×C₃₁	—	4	1	no	—
915	C₂²×C₃₁	—	4	1	no	—
916	C₂²×C₃₁	—	4	1	no	—
917	C₂²×C₃₁	—	4	1	no	—
918	C₂²×C₃₁	—	4	1	no	—
919	C₂²×C₃₁	—	4	1	no	—
920	C₂²×C₃₁	—	4	1	no	—
921	C₂²×C₃₁	—	4	1	no	—
922	C₂²×C₃₁	—	4	1	no	—
923	C₂²×C₃₁	—	4	1	no	—
924	C₂²×C₃₁	—	4	1	no	—
925	C₂²×C₃₁	—	4	1	no	—
926	C₂²×C₃₁	—	8	2	no	—
927	C₂²×C₃₁	—	8	4	no	—
928	C₂²×C₃₁	C₂³×D₄	1	1	yes	characteristic
929	C₄×C₃₁	—	2	1	no	—
930	C₄×C₃₁	—	2	1	no	—
931	C₄×C₃₁	—	2	1	no	—
932	C₄×C₃₁	—	2	1	no	—
933	C₄×C₃₁	—	2	2	no	—
934	C₄×C₃₁	—	2	2	no	—
935	C₄×C₃₁	—	2	1	no	—
936	C₄×C₃₁	—	2	1	no	—
937	C₄×C₃₁	—	2	1	no	—
938	C₄×C₃₁	—	2	1	no	—
939	C₄×C₃₁	—	2	1	no	—
940	C₄×C₃₁	—	4	1	no	—
941	C₄×C₃₁	—	4	1	no	—
942	C₄×C₃₁	—	4	1	no	—
943	C₄×C₃₁	—	4	1	no	—
944	C₄×C₃₁	—	4	1	no	—
945	C₄×C₃₁	—	4	1	no	—
946	C₄×C₃₁	—	4	1	no	—
947	C₄×C₃₁	—	4	1	no	—
948	C₄×C₃₁	—	4	1	no	—
949	C₄×C₃₁	—	4	1	no	—
950	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
951	C₄×C₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
952	C₂×2₋¹⁺⁴	C₂²×C₃₁	1	1	yes	characteristic
953	C₂²×#41	C₂²×C₃₁	1	1	yes	characteristic
954	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic
955	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic
956	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic, complemented
957	C₂×#137	C₂²×C₃₁	1	1	yes	characteristic, complemented
958	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic
959	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic
960	C₂×#135	C₂²×C₃₁	1	1	yes	characteristic, complemented
961	C₂²×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
962	#563	—	2	1	no	—
963	#562	—	2	1	no	—
964	#556	C₂²×C₃₁	1	1	yes	characteristic, complemented
965	#554	—	2	1	no	—
966	#554	C₂²×C₃₁	1	1	yes	characteristic, complemented
967	#553	—	2	1	no	—
968	#553	C₂²×C₃₁	1	1	yes	characteristic, complemented
969	#552	C₂²×C₃₁	1	1	yes	characteristic, complemented
970	#550	—	2	1	no	—
971	#550	—	2	1	no	—
972	#550	C₂²×C₃₁	1	1	yes	characteristic
973	#550	C₂²×C₃₁	1	1	yes	characteristic
974	#550	C₂²×C₃₁	1	1	yes	characteristic
975	#550	C₂²×C₃₁	1	1	yes	characteristic
976	D₄×Q₈	C₂²×C₃₁	1	1	yes	characteristic, complemented
977	#548	—	2	1	no	—
978	#548	—	2	1	no	—
979	#548	C₂²×C₃₁	1	1	yes	characteristic
980	#548	C₂²×C₃₁	1	1	yes	characteristic
981	#548	C₂²×C₃₁	1	1	yes	characteristic
982	#548	C₂²×C₃₁	1	1	yes	characteristic
983	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
984	#548	C₂²×C₃₁	1	1	yes	characteristic, complemented
985	#547	C₂²×C₃₁	1	1	yes	characteristic, complemented
986	#542	—	2	1	no	—
987	#542	C₂²×C₃₁	1	1	yes	characteristic
988	#541	C₂²×C₃₁	1	1	yes	characteristic
989	#539	—	2	1	no	—
990	#538	—	2	1	no	—
991	#538	—	2	1	no	—
992	#537	C₂²×C₃₁	1	1	yes	characteristic
993	#536	C₂²×C₃₁	1	1	yes	characteristic
994	#535	—	2	1	no	—
995	#535	—	2	1	no	—
996	#535	C₂²×C₃₁	1	1	yes	characteristic
997	#535	C₂²×C₃₁	1	1	yes	characteristic
998	#525	—	2	1	no	—
999	#525	—	2	1	no	—
1000	#525	C₂²×C₃₁	1	1	yes	characteristic
1001	#525	C₂²×C₃₁	1	1	yes	characteristic
1002	#525	C₂²×C₃₁	1	1	yes	characteristic
1003	C₂×C₂²⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
1004	#519	C₂²×C₃₁	1	1	yes	characteristic
1005	#497	C₂²×C₃₁	1	1	yes	characteristic, complemented
1006	#496	C₂²×C₃₁	1	1	yes	characteristic, complemented
1007	#495	C₂²×C₃₁	1	1	yes	characteristic, complemented
1008	#492	C₂²×C₃₁	1	1	yes	characteristic, complemented
1009	#490	C₂²×C₃₁	1	1	yes	characteristic, complemented
1010	#489	C₂²×C₃₁	1	1	yes	characteristic, complemented
1011	#488	C₂²×C₃₁	1	1	yes	characteristic, complemented
1012	#486	C₂²×C₃₁	1	1	yes	characteristic, complemented
1013	#485	C₂²×C₃₁	1	1	yes	characteristic
1014	#485	C₂²×C₃₁	1	1	yes	characteristic
1015	#485	C₂²×C₃₁	1	1	yes	characteristic
1016	#485	C₂²×C₃₁	1	1	yes	characteristic, complemented
1017	#483	C₂²×C₃₁	1	1	yes	characteristic, complemented
1018	#482	C₂²×C₃₁	1	1	yes	characteristic
1019	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1020	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1021	#482	C₂²×C₃₁	1	1	yes	characteristic, complemented
1022	#481	C₂²×C₃₁	1	1	yes	characteristic, complemented
1023	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
1024	#480	C₂²×C₃₁	1	1	yes	characteristic, complemented
1025	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
1026	#479	C₂²×C₃₁	1	1	yes	characteristic, complemented
1027	#477	C₂²×C₃₁	1	1	yes	characteristic, complemented
1028	#475	C₂²×C₃₁	1	1	yes	characteristic, complemented
1029	#470	C₂²×C₃₁	1	1	yes	characteristic, complemented
1030	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
1031	#469	C₂²×C₃₁	1	1	yes	characteristic, complemented
1032	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1033	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1034	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1035	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1036	#468	C₂²×C₃₁	1	1	yes	characteristic, complemented
1037	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
1038	#467	C₂²×C₃₁	1	1	yes	characteristic, complemented
1039	#466	C₂²×C₃₁	1	1	yes	characteristic, complemented
1040	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1041	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1042	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1043	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1044	#465	C₂²×C₃₁	1	1	yes	characteristic, complemented
1045	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1046	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1047	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1048	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1049	#464	C₂²×C₃₁	1	1	yes	characteristic, complemented
1050	#463	C₂²×C₃₁	1	1	yes	characteristic, complemented
1051	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
1052	#462	C₂²×C₃₁	1	1	yes	characteristic, complemented
1053	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1054	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1055	#460	C₂²×C₃₁	1	1	yes	characteristic, complemented
1056	#459	C₂²×C₃₁	1	1	yes	characteristic, complemented
1057	#452	C₂²×C₃₁	1	1	yes	characteristic
1058	#452	C₂²×C₃₁	1	1	yes	characteristic
1059	#452	C₂²×C₃₁	1	1	yes	characteristic
1060	#452	C₂²×C₃₁	1	1	yes	characteristic
1061	#452	C₂²×C₃₁	1	1	yes	characteristic
1062	#452	C₂²×C₃₁	1	1	yes	characteristic
1063	#452	C₂²×C₃₁	1	1	yes	characteristic
1064	#452	C₂²×C₃₁	1	1	yes	characteristic
1065	#452	C₂²×C₃₁	1	1	yes	characteristic
1066	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1067	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1068	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1069	#452	C₂²×C₃₁	1	1	yes	characteristic, complemented
1070	#451	C₂²×C₃₁	1	1	yes	characteristic
1071	#451	C₂²×C₃₁	1	1	yes	characteristic
1072	#451	C₂²×C₃₁	1	1	yes	characteristic
1073	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1074	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1075	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1076	#451	C₂²×C₃₁	1	1	yes	characteristic, complemented
1077	#450	C₂²×C₃₁	1	1	yes	characteristic
1078	#450	C₂²×C₃₁	1	1	yes	characteristic
1079	#450	C₂²×C₃₁	1	1	yes	characteristic
1080	#449	C₂²×C₃₁	1	1	yes	characteristic
1081	#449	C₂²×C₃₁	1	1	yes	characteristic
1082	#449	C₂²×C₃₁	1	1	yes	characteristic
1083	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1084	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1085	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1086	#449	C₂²×C₃₁	1	1	yes	characteristic, complemented
1087	#448	C₂²×C₃₁	1	1	yes	characteristic
1088	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1089	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1090	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1091	#448	C₂²×C₃₁	1	1	yes	characteristic, complemented
1092	#447	C₂²×C₃₁	1	1	yes	characteristic
1093	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1094	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1095	#441	C₂²×C₃₁	1	1	yes	characteristic, complemented
1096	#440	C₂²×C₃₁	1	1	yes	characteristic, complemented
1097	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1098	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1099	C₄×Q₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1100	C₄×SD₁₆	C₂²×C₃₁	1	1	yes	characteristic, complemented
1101	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1102	#436	C₂²×C₃₁	1	1	yes	characteristic, complemented
1103	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1104	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1105	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1106	#435	C₂²×C₃₁	1	1	yes	characteristic, complemented
1107	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1108	C₈×D₄	C₂²×C₃₁	1	1	yes	characteristic, complemented
1109	#433	C₂²×C₃₁	1	1	yes	characteristic
1110	#433	C₂²×C₃₁	1	1	yes	characteristic
1111	#419	C₂²×C₃₁	1	1	yes	characteristic, complemented
1112	#417	C₂²×C₃₁	1	1	yes	characteristic
1113	#417	C₂²×C₃₁	1	1	yes	characteristic
1114	#417	C₂²×C₃₁	1	1	yes	characteristic, complemented
1115	#416	C₂²×C₃₁	1	1	yes	characteristic
1116	#416	C₂²×C₃₁	1	1	yes	characteristic
1117	#416	C₂²×C₃₁	1	1	yes	characteristic, complemented
1118	C₂×#103	C₂²×C₃₁	1	1	yes	characteristic, complemented
1119	#408	C₂²×C₃₁	1	1	yes	characteristic
1120	#408	C₂²×C₃₁	1	1	yes	characteristic
1121	#407	C₂²×C₃₁	1	1	yes	characteristic
1122	C₂×C₂²⋊C₈	C₂²×C₃₁	1	1	yes	characteristic
1123	C₂×C₃₁	—	4	1	no	—
1124	C₂×C₃₁	—	4	1	no	—
1125	C₂×C₃₁	—	4	1	no	—
1126	C₂×C₃₁	—	4	1	no	—
1127	C₂×C₃₁	—	4	1	no	—
1128	C₂×C₃₁	—	8	1	no	—
1129	C₂×C₃₁	—	8	1	no	—
1130	C₂×C₃₁	—	8	1	no	—
1131	C₂×C₃₁	—	8	1	no	—
1132	C₂×C₃₁	#3484	1	1	yes	characteristic
1133	C₂×C₃₁	#3584	1	1	yes	characteristic
1134	C₂×C₃₁	#3586	1	1	yes	characteristic
1135	2₋¹⁺⁴	—	4	2	no	—
1136	2₋¹⁺⁴	—	4	2	no	—
1137	C₂×#41	—	2	1	no	—
1138	C₂×#41	—	2	1	no	—
1139	C₂×#41	—	2	1	no	—
1140	C₂×#41	—	2	1	no	—
1141	C₂×#41	—	2	1	no	—
1142	C₂×#41	—	4	2	no	—
1143	C₂×#41	—	4	2	no	—
1144	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1145	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1146	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1147	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1148	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1149	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1150	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1151	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1152	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1153	C₂×#41	C₂³×C₃₁	1	1	yes	characteristic
1154	C₂²×Q₈	—	2	1	no	—
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×D₄	—	2	1	no	—
1161	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
1162	C₂³×C₄	—	2	1	no	—
1163	C₂³×C₄	C₂³×C₃₁	1	1	yes	characteristic
1164	#137	—	4	2	no	—
1165	#137	—	4	2	no	—
1166	#137	—	4	2	no	—
1167	#137	—	4	2	no	—
1168	#135	—	4	2	no	—
1169	#135	—	4	2	no	—
1170	#135	—	4	2	no	—
1171	C₂×Q₁₆	—	4	2	no	—
1172	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1173	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1174	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1175	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1176	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1177	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1178	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1179	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1180	C₂×Q₁₆	C₂³×C₃₁	1	1	yes	characteristic
1181	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1182	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1183	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1184	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1185	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1186	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1187	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1188	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1189	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1190	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1191	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1192	C₂×SD₁₆	C₂³×C₃₁	1	1	yes	characteristic
1193	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1194	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1195	C₂×D₈	C₂³×C₃₁	1	1	yes	characteristic
1196	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1197	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1198	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1199	C₂×M₁₆	C₂³×C₃₁	1	1	yes	characteristic
1200	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1201	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1202	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1203	C₂²×C₈	C₂³×C₃₁	1	1	yes	characteristic
1204	C₄⋊Q₈	—	2	1	no	—
1205	C₄⋊Q₈	—	2	1	no	—
1206	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1207	C₄⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1208	#127	—	2	1	no	—
1209	#127	—	2	1	no	—
1210	#127	—	2	1	no	—
1211	#127	—	2	1	no	—
1212	#127	—	2	1	no	—
1213	#127	C₂³×C₃₁	1	1	yes	characteristic
1214	#127	C₂³×C₃₁	1	1	yes	characteristic
1215	#126	—	2	1	no	—
1216	#126	—	2	1	no	—
1217	#126	—	2	1	no	—
1218	#126	—	2	1	no	—
1219	#126	—	2	1	no	—
1220	#126	—	2	1	no	—
1221	#126	—	2	1	no	—
1222	#125	—	2	1	no	—
1223	#125	—	2	1	no	—
1224	#125	—	2	1	no	—
1225	#125	—	2	1	no	—
1226	#125	C₂³×C₃₁	1	1	yes	characteristic
1227	#124	—	2	1	no	—
1228	#124	—	2	1	no	—
1229	#124	—	2	1	no	—
1230	#124	—	2	1	no	—
1231	#124	—	2	1	no	—
1232	#124	—	2	1	no	—
1233	#124	—	2	1	no	—
1234	#124	—	2	1	no	—
1235	#124	—	2	1	no	—
1236	#124	—	2	1	no	—
1237	#124	C₂³×C₃₁	1	1	yes	characteristic
1238	#124	C₂³×C₃₁	1	1	yes	characteristic
1239	#124	C₂³×C₃₁	1	1	yes	characteristic
1240	#123	—	2	1	no	—
1241	#123	—	2	1	no	—
1242	#123	—	2	1	no	—
1243	#123	—	2	1	no	—
1244	#123	—	2	1	no	—
1245	#123	—	2	1	no	—
1246	#123	—	2	1	no	—
1247	#123	—	2	1	no	—
1248	#123	—	2	1	no	—
1249	#123	D₄×C₃₁	1	1	yes	characteristic
1250	#123	D₄×C₃₁	1	1	yes	characteristic
1251	C₂²⋊Q₈	—	2	1	no	—
1252	C₂²⋊Q₈	—	2	1	no	—
1253	C₂²⋊Q₈	—	2	1	no	—
1254	C₂²⋊Q₈	—	2	1	no	—
1255	C₂²⋊Q₈	—	2	1	no	—
1256	C₂²⋊Q₈	—	2	1	no	—
1257	C₂²⋊Q₈	—	2	1	no	—
1258	C₂²⋊Q₈	—	2	1	no	—
1259	C₂²⋊Q₈	—	2	1	no	—
1260	C₂²⋊Q₈	—	2	1	no	—
1261	C₂²⋊Q₈	—	2	1	no	—
1262	C₂²⋊Q₈	—	2	1	no	—
1263	C₂²⋊Q₈	—	2	1	no	—
1264	C₂²⋊Q₈	—	2	1	no	—
1265	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1266	C₂²⋊Q₈	D₄×C₃₁	1	1	yes	characteristic
1267	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1268	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1269	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1270	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1271	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1272	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1273	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1274	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1275	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1276	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1277	C₂²⋊Q₈	C₂³×C₃₁	1	1	yes	characteristic
1278	#121	—	2	1	no	—
1279	#121	—	2	1	no	—
1280	#121	—	2	1	no	—
1281	#121	—	2	1	no	—
1282	#121	—	2	1	no	—
1283	#121	—	2	1	no	—
1284	#121	—	2	1	no	—
1285	#121	—	2	1	no	—
1286	#121	—	2	1	no	—
1287	#121	—	2	1	no	—
1288	#121	—	2	1	no	—
1289	#121	—	2	1	no	—
1290	#121	—	2	1	no	—
1291	#121	—	2	1	no	—
1292	#121	—	2	1	no	—
1293	#121	—	2	1	no	—
1294	#121	—	2	1	no	—
1295	#121	—	2	1	no	—
1296	#121	—	2	1	no	—
1297	#121	—	2	1	no	—
1298	#121	—	2	1	no	—
1299	#121	D₄×C₃₁	1	1	yes	characteristic
1300	#121	D₄×C₃₁	1	1	yes	characteristic
1301	#121	C₂³×C₃₁	1	1	yes	characteristic
1302	#121	C₂³×C₃₁	1	1	yes	characteristic
1303	#121	C₂³×C₃₁	1	1	yes	characteristic
1304	#121	C₂³×C₃₁	1	1	yes	characteristic
1305	#121	C₂³×C₃₁	1	1	yes	characteristic
1306	#121	C₂³×C₃₁	1	1	yes	characteristic
1307	#121	C₂³×C₃₁	1	1	yes	characteristic
1308	#121	C₂³×C₃₁	1	1	yes	characteristic
1309	#121	C₂³×C₃₁	1	1	yes	characteristic
1310	#120	—	2	1	no	—
1311	#120	—	2	1	no	—
1312	#120	—	2	1	no	—
1313	#120	—	2	1	no	—
1314	#120	—	2	1	no	—
1315	#120	—	2	1	no	—
1316	#120	D₄×C₃₁	1	1	yes	characteristic
1317	#120	D₄×C₃₁	1	1	yes	characteristic
1318	C₄×Q₈	—	2	1	no	—
1319	C₄×Q₈	—	2	1	no	—
1320	C₄×Q₈	—	2	1	no	—
1321	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1322	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1323	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1324	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1325	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1326	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1327	C₄×Q₈	C₂³×C₃₁	1	1	yes	characteristic
1328	C₄×D₄	—	2	1	no	—
1329	C₄×D₄	—	2	1	no	—
1330	C₄×D₄	—	2	1	no	—
1331	C₄×D₄	—	2	1	no	—
1332	C₄×D₄	—	2	1	no	—
1333	C₄×D₄	—	2	1	no	—
1334	C₄×D₄	—	2	1	no	—
1335	C₄×D₄	—	2	1	no	—
1336	C₄×D₄	—	2	1	no	—
1337	C₄×D₄	—	2	1	no	—
1338	C₄×D₄	—	2	1	no	—
1339	C₄×D₄	—	2	1	no	—
1340	C₄×D₄	—	2	1	no	—
1341	C₄×D₄	—	2	1	no	—
1342	C₄×D₄	—	2	1	no	—
1343	C₄×D₄	—	2	1	no	—
1344	C₄×D₄	—	2	1	no	—
1345	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1346	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1347	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1348	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1349	C₄×D₄	C₂³×C₃₁	1	1	yes	characteristic
1350	#117	—	2	1	no	—
1351	#117	—	2	1	no	—
1352	#117	—	2	1	no	—
1353	#117	C₂³×C₃₁	1	1	yes	characteristic
1354	#117	C₂³×C₃₁	1	1	yes	characteristic
1355	#117	C₂³×C₃₁	1	1	yes	characteristic
1356	#117	C₂³×C₃₁	1	1	yes	characteristic
1357	C₂×C₄⋊C₄	—	2	1	no	—
1358	C₂×C₄⋊C₄	—	2	1	no	—
1359	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1360	C₂×C₄⋊C₄	C₂³×C₃₁	1	1	yes	characteristic
1361	C₂×C₂²⋊C₄	—	2	1	no	—
1362	#107	C₂³×C₃₁	1	1	yes	characteristic
1363	#107	C₂³×C₃₁	1	1	yes	characteristic
1364	#107	C₂³×C₃₁	1	1	yes	characteristic
1365	#107	C₂³×C₃₁	1	1	yes	characteristic
1366	#106	C₂³×C₃₁	1	1	yes	characteristic
1367	#106	C₂³×C₃₁	1	1	yes	characteristic
1368	#106	C₂³×C₃₁	1	1	yes	characteristic
1369	#106	C₂³×C₃₁	1	1	yes	characteristic
1370	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1371	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1372	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1373	C₄⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1374	#103	C₂³×C₃₁	1	1	yes	characteristic
1375	#103	C₂³×C₃₁	1	1	yes	characteristic
1376	#103	C₂³×C₃₁	1	1	yes	characteristic
1377	#103	C₂³×C₃₁	1	1	yes	characteristic
1378	#103	C₂³×C₃₁	1	1	yes	characteristic
1379	#103	C₂³×C₃₁	1	1	yes	characteristic
1380	#103	C₂³×C₃₁	1	1	yes	characteristic
1381	#103	C₂³×C₃₁	1	1	yes	characteristic
1382	#103	C₂³×C₃₁	1	1	yes	characteristic
1383	#103	C₂³×C₃₁	1	1	yes	characteristic
1384	#103	C₂³×C₃₁	1	1	yes	characteristic
1385	#103	C₂³×C₃₁	1	1	yes	characteristic
1386	#103	C₂³×C₃₁	1	1	yes	characteristic
1387	#103	C₂³×C₃₁	1	1	yes	characteristic
1388	#103	C₂³×C₃₁	1	1	yes	characteristic
1389	#103	C₂³×C₃₁	1	1	yes	characteristic
1390	#103	C₂³×C₃₁	1	1	yes	characteristic
1391	#103	C₂³×C₃₁	1	1	yes	characteristic
1392	#102	C₂³×C₃₁	1	1	yes	characteristic
1393	#102	C₂³×C₃₁	1	1	yes	characteristic
1394	#102	C₂³×C₃₁	1	1	yes	characteristic
1395	#102	C₂³×C₃₁	1	1	yes	characteristic
1396	#102	C₂³×C₃₁	1	1	yes	characteristic
1397	#102	C₂³×C₃₁	1	1	yes	characteristic
1398	#102	C₂³×C₃₁	1	1	yes	characteristic
1399	#102	C₂³×C₃₁	1	1	yes	characteristic
1400	#102	C₂³×C₃₁	1	1	yes	characteristic
1401	#102	C₂³×C₃₁	1	1	yes	characteristic
1402	#102	C₂³×C₃₁	1	1	yes	characteristic
1403	#102	C₂³×C₃₁	1	1	yes	characteristic
1404	#102	C₂³×C₃₁	1	1	yes	characteristic
1405	#102	C₂³×C₃₁	1	1	yes	characteristic
1406	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1407	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1408	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1409	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1410	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1411	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1412	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1413	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1414	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1415	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1416	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1417	C₂²⋊C₈	C₂³×C₃₁	1	1	yes	characteristic
1418	#97	C₂³×C₃₁	1	1	yes	characteristic
1419	#97	C₂³×C₃₁	1	1	yes	characteristic
1420	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1421	C₄×C₈	C₂³×C₃₁	1	1	yes	characteristic
1422	C₃₁	#61615	1	1	yes	characteristic, direct product factor, Sylow
1423	C₂⁴	—	2	1	no	—
1424	C₂⁴	C₂×D₄×C₃₁	1	1	yes	characteristic
1425	#41	—	2	2	no	—
1426	#41	—	2	2	no	—
1427	#41	—	2	2	no	—
1428	#41	—	2	2	no	—
1429	#41	—	2	2	no	—
1430	#41	—	2	2	no	—
1431	#41	—	4	1	no	—
1432	#41	—	4	1	no	—
1433	#41	—	4	1	no	—
1434	#41	—	4	1	no	—
1435	#41	—	4	1	no	—
1436	#41	—	4	1	no	—
1437	#41	—	4	1	no	—
1438	#41	—	4	1	no	—
1439	#41	—	4	1	no	—
1440	#41	—	4	1	no	—
1441	#41	—	4	4	no	—
1442	#41	—	4	4	no	—
1443	#41	—	4	1	no	—
1444	#41	—	4	1	no	—
1445	#41	—	4	1	no	—
1446	#41	—	4	1	no	—
1447	#41	—	4	4	no	—
1448	#41	—	4	4	no	—
1449	#41	—	4	4	no	—
1450	C₂×Q₈	—	2	2	no	—
1451	C₂×Q₈	—	2	2	no	—
1452	C₂×Q₈	—	2	1	no	—
1453	C₂×Q₈	—	2	1	no	—
1454	C₂×Q₈	—	2	1	no	—
1455	C₂×Q₈	—	2	1	no	—
1456	C₂×Q₈	—	2	1	no	—
1457	C₂×Q₈	—	2	1	no	—
1458	C₂×Q₈	—	2	2	no	—
1459	C₂×Q₈	—	2	2	no	—
1460	C₂×Q₈	—	4	1	no	—
1461	C₂×Q₈	—	4	1	no	—
1462	C₂×Q₈	—	4	1	no	—
1463	C₂×Q₈	—	4	1	no	—
1464	C₂×Q₈	—	4	1	no	—
1465	C₂×Q₈	—	4	1	no	—
1466	C₂×Q₈	—	4	4	no	—
1467	C₂×Q₈	C₂×D₄×C₃₁	1	1	yes	characteristic
1468	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1469	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1470	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1471	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1472	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1473	C₂×Q₈	C₂⁴×C₃₁	1	1	yes	characteristic
1474	C₂×D₄	—	2	1	no	—
1475	C₂×D₄	—	2	1	no	—
1476	C₂×D₄	—	2	1	no	—
1477	C₂×D₄	—	2	1	no	—
1478	C₂×D₄	—	2	1	no	—
1479	C₂×D₄	—	2	1	no	—
1480	C₂×D₄	—	2	1	no	—
1481	C₂×D₄	—	2	1	no	—
1482	C₂×D₄	—	2	1	no	—
1483	C₂×D₄	—	2	1	no	—
1484	C₂×D₄	—	2	1	no	—
1485	C₂×D₄	—	2	1	no	—
1486	C₂×D₄	—	2	1	no	—
1487	C₂×D₄	—	2	1	no	—
1488	C₂×D₄	—	2	1	no	—
1489	C₂×D₄	—	2	1	no	—
1490	C₂×D₄	—	2	1	no	—
1491	C₂×D₄	—	2	1	no	—
1492	C₂×D₄	—	2	1	no	—
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	2	1	no	—
1496	C₂×D₄	—	2	1	no	—
1497	C₂×D₄	—	4	1	no	—
1498	C₂×D₄	—	4	1	no	—
1499	C₂×D₄	—	4	4	no	—
1500	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1501	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1502	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1503	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1504	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1505	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1506	C₂×D₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1507	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1508	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1509	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1510	C₂×D₄	C₂⁴×C₃₁	1	1	yes	characteristic
1511	C₂²×C₄	—	2	1	no	—
1512	C₂²×C₄	—	2	1	no	—
1513	C₂²×C₄	—	2	1	no	—
1514	C₂²×C₄	—	2	1	no	—
1515	C₂²×C₄	—	2	1	no	—
1516	C₂²×C₄	—	2	1	no	—
1517	C₂²×C₄	—	2	1	no	—
1518	C₂²×C₄	—	2	1	no	—
1519	C₂²×C₄	—	2	1	no	—
1520	C₂²×C₄	—	2	1	no	—
1521	C₂²×C₄	—	2	1	no	—
1522	C₂²×C₄	—	2	1	no	—
1523	C₂²×C₄	—	2	1	no	—
1524	C₂²×C₄	—	2	1	no	—
1525	C₂²×C₄	—	2	1	no	—
1526	C₂²×C₄	—	2	1	no	—
1527	C₂²×C₄	—	2	1	no	—
1528	C₂²×C₄	—	4	1	no	—
1529	C₂²×C₄	—	4	1	no	—
1530	C₂²×C₄	—	4	4	no	—
1531	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1532	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1533	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1534	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1535	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1536	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1537	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1538	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1539	Q₁₆	—	2	2	no	—
1540	Q₁₆	—	2	2	no	—
1541	Q₁₆	—	2	2	no	—
1542	Q₁₆	—	2	2	no	—
1543	Q₁₆	—	2	2	no	—
1544	Q₁₆	—	2	2	no	—
1545	Q₁₆	—	4	1	no	—
1546	Q₁₆	—	4	1	no	—
1547	Q₁₆	—	4	1	no	—
1548	SD₁₆	—	2	2	no	—
1549	SD₁₆	—	2	2	no	—
1550	SD₁₆	—	4	1	no	—
1551	SD₁₆	—	4	1	no	—
1552	SD₁₆	—	4	1	no	—
1553	SD₁₆	—	4	1	no	—
1554	SD₁₆	—	4	1	no	—
1555	SD₁₆	—	4	1	no	—
1556	SD₁₆	—	4	1	no	—
1557	SD₁₆	—	4	1	no	—
1558	SD₁₆	—	4	1	no	—
1559	SD₁₆	—	4	1	no	—
1560	D₈	—	4	1	no	—
1561	D₈	—	4	1	no	—
1562	D₈	—	4	1	no	—
1563	M₁₆	—	4	1	no	—
1564	M₁₆	—	4	1	no	—
1565	M₁₆	—	4	1	no	—
1566	M₁₆	—	4	1	no	—
1567	C₂×C₈	—	4	1	no	—
1568	C₂×C₈	—	4	1	no	—
1569	C₂×C₈	—	4	1	no	—
1570	C₂×C₈	—	4	1	no	—
1571	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1572	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1573	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1574	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1575	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1576	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1577	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1578	C₂×C₈	C₂⁴×C₃₁	1	1	yes	characteristic
1579	C₄⋊C₄	—	2	1	no	—
1580	C₄⋊C₄	—	2	1	no	—
1581	C₄⋊C₄	—	2	1	no	—
1582	C₄⋊C₄	—	2	1	no	—
1583	C₄⋊C₄	—	2	1	no	—
1584	C₄⋊C₄	—	2	1	no	—
1585	C₄⋊C₄	—	2	1	no	—
1586	C₄⋊C₄	—	2	1	no	—
1587	C₄⋊C₄	—	2	1	no	—
1588	C₄⋊C₄	—	2	1	no	—
1589	C₄⋊C₄	—	2	1	no	—
1590	C₄⋊C₄	—	2	1	no	—
1591	C₄⋊C₄	—	2	1	no	—
1592	C₄⋊C₄	—	2	1	no	—
1593	C₄⋊C₄	—	2	1	no	—
1594	C₄⋊C₄	—	2	1	no	—
1595	C₄⋊C₄	—	2	1	no	—
1596	C₄⋊C₄	—	2	1	no	—
1597	C₄⋊C₄	—	2	1	no	—
1598	C₄⋊C₄	—	2	1	no	—
1599	C₄⋊C₄	—	2	1	no	—
1600	C₄⋊C₄	—	2	1	no	—
1601	C₄⋊C₄	—	2	1	no	—
1602	C₄⋊C₄	—	2	1	no	—
1603	C₄⋊C₄	—	2	1	no	—
1604	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1605	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1606	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1607	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1608	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1609	C₄⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1610	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1611	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1612	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1613	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1614	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1615	C₄⋊C₄	C₂⁴×C₃₁	1	1	yes	characteristic
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	2	1	no	—
1619	C₂²⋊C₄	—	2	1	no	—
1620	C₂²⋊C₄	—	2	1	no	—
1621	C₂²⋊C₄	—	2	1	no	—
1622	C₂²⋊C₄	—	2	1	no	—
1623	C₂²⋊C₄	—	2	1	no	—
1624	C₂²⋊C₄	—	2	1	no	—
1625	C₂²⋊C₄	—	2	1	no	—
1626	C₂²⋊C₄	—	2	1	no	—
1627	C₂²⋊C₄	—	2	1	no	—
1628	C₂²⋊C₄	—	2	1	no	—
1629	C₂²⋊C₄	—	2	1	no	—
1630	C₂²⋊C₄	—	2	1	no	—
1631	C₂²⋊C₄	—	2	1	no	—
1632	C₂²⋊C₄	—	2	1	no	—
1633	C₂²⋊C₄	—	2	1	no	—
1634	C₂²⋊C₄	—	2	1	no	—
1635	C₂²⋊C₄	—	2	1	no	—
1636	C₂²⋊C₄	—	2	1	no	—
1637	C₂²⋊C₄	—	2	1	no	—
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	2	1	no	—
1640	C₂²⋊C₄	—	2	1	no	—
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1647	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1648	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1649	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1650	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1651	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1652	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1653	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1654	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1655	C₂²⋊C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
1656	C₄²	—	2	1	no	—
1657	C₄²	—	2	1	no	—
1658	C₄²	—	2	1	no	—
1659	C₄²	—	2	1	no	—
1660	C₄²	—	2	1	no	—
1661	C₄²	—	2	1	no	—
1662	C₄²	—	2	1	no	—
1663	C₄²	—	2	1	no	—
1664	C₄²	—	2	1	no	—
1665	C₄²	—	2	1	no	—
1666	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1667	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
1668	C₂³	—	2	1	no	—
1669	C₂³	—	2	1	no	—
1670	C₂³	—	2	1	no	—
1671	C₂³	—	2	1	no	—
1672	C₂³	—	4	1	no	—
1673	C₂³	—	4	1	no	—
1674	C₂³	—	4	1	no	—
1675	C₂³	—	4	2	no	—
1676	C₂³	—	8	1	no	—
1677	C₂³	—	8	1	no	—
1678	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1679	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1680	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1681	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1682	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
1683	Q₈	—	2	4	no	—
1684	Q₈	—	2	1	no	—
1685	Q₈	—	2	1	no	—
1686	Q₈	—	2	1	no	—
1687	Q₈	—	2	1	no	—
1688	Q₈	—	2	1	no	—
1689	Q₈	—	2	1	no	—
1690	Q₈	—	2	1	no	—
1691	Q₈	—	2	1	no	—
1692	Q₈	—	2	1	no	—
1693	Q₈	—	2	1	no	—
1694	Q₈	—	4	1	no	—
1695	Q₈	—	4	2	no	—
1696	Q₈	—	4	2	no	—
1697	Q₈	—	8	1	no	—
1698	Q₈	—	8	1	no	—
1699	Q₈	—	8	1	no	—
1700	Q₈	C₃₁×H(5,𝔽₂)	1	2	yes	—
1701	Q₈	C₃₁×H(5,𝔽₂)	1	2	yes	—
1702	D₄	—	2	1	no	—
1703	D₄	—	2	1	no	—
1704	D₄	—	2	1	no	—
1705	D₄	—	2	1	no	—
1706	D₄	—	2	1	no	—
1707	D₄	—	2	1	no	—
1708	D₄	—	2	1	no	—
1709	D₄	—	2	1	no	—
1710	D₄	—	4	1	no	—
1711	D₄	—	4	1	no	—
1712	D₄	—	4	1	no	—
1713	D₄	—	4	1	no	—
1714	D₄	—	4	1	no	—
1715	D₄	—	4	1	no	—
1716	D₄	—	4	1	no	—
1717	D₄	—	4	2	no	—
1718	D₄	—	4	2	no	—
1719	D₄	—	4	2	no	—
1720	D₄	—	4	2	no	—
1721	D₄	—	4	2	no	—
1722	D₄	—	4	2	no	—
1723	D₄	—	4	2	no	—
1724	D₄	—	4	2	no	—
1725	D₄	—	4	2	no	—
1726	D₄	—	8	1	no	—
1727	D₄	—	8	1	no	—
1728	D₄	—	8	1	no	—
1729	D₄	—	8	1	no	—
1730	D₄	—	8	1	no	—
1731	D₄	—	8	1	no	—
1732	D₄	—	8	1	no	—
1733	D₄	—	8	1	no	—
1734	D₄	—	8	1	no	—
1735	D₄	—	8	1	no	—
1736	D₄	—	8	1	no	—
1737	D₄	—	8	1	no	—
1738	D₄	—	8	1	no	—
1739	D₄	—	8	1	no	—
1740	C₂×C₄	—	2	4	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	2	1	no	—
1762	C₂×C₄	—	2	1	no	—
1763	C₂×C₄	—	4	1	no	—
1764	C₂×C₄	—	4	1	no	—
1765	C₂×C₄	—	4	1	no	—
1766	C₂×C₄	—	4	2	no	—
1767	C₂×C₄	—	4	2	no	—
1768	C₂×C₄	—	4	2	no	—
1769	C₂×C₄	—	4	2	no	—
1770	C₂×C₄	—	4	2	no	—
1771	C₂×C₄	—	4	2	no	—
1772	C₂×C₄	—	4	2	no	—
1773	C₂×C₄	—	4	2	no	—
1774	C₂×C₄	—	4	2	no	—
1775	C₂×C₄	—	8	1	no	—
1776	C₂×C₄	—	8	1	no	—
1777	C₂×C₄	—	8	1	no	—
1778	C₂×C₄	—	8	1	no	—
1779	C₂×C₄	—	8	1	no	—
1780	C₂×C₄	—	8	1	no	—
1781	C₂×C₄	—	8	1	no	—
1782	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1783	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1784	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1785	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1786	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1787	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1788	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1789	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1790	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
1791	C₂×C₄	C₂⁵×C₃₁	1	1	yes	characteristic
1792	C₈	—	2	1	no	—
1793	C₈	—	2	1	no	—
1794	C₈	—	2	1	no	—
1795	C₈	—	2	1	no	—
1796	C₈	—	2	1	no	—
1797	C₈	—	2	1	no	—
1798	C₈	—	2	1	no	—
1799	C₈	—	2	1	no	—
1800	C₂²	—	2	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	1	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	2	1	no	—
1807	C₂²	—	2	1	no	—
1808	C₂²	—	2	1	no	—
1809	C₂²	—	2	1	no	—
1810	C₂²	—	2	1	no	—
1811	C₂²	—	2	1	no	—
1812	C₂²	—	2	1	no	—
1813	C₂²	—	2	1	no	—
1814	C₂²	—	2	1	no	—
1815	C₂²	—	4	1	no	—
1816	C₂²	—	4	1	no	—
1817	C₂²	—	4	1	no	—
1818	C₂²	—	4	1	no	—
1819	C₂²	—	4	1	no	—
1820	C₂²	—	4	1	no	—
1821	C₂²	—	4	1	no	—
1822	C₂²	—	4	1	no	—
1823	C₂²	—	4	1	no	—
1824	C₂²	—	4	1	no	—
1825	C₂²	—	4	1	no	—
1826	C₂²	—	4	1	no	—
1827	C₂²	—	8	2	no	—
1828	C₂²	—	8	4	no	—
1829	C₂²	C₂³×D₄×C₃₁	1	1	yes	characteristic
1830	C₄	—	2	2	no	—
1831	C₄	—	2	2	no	—
1832	C₄	—	2	1	no	—
1833	C₄	—	2	1	no	—
1834	C₄	—	2	1	no	—
1835	C₄	—	2	1	no	—
1836	C₄	—	2	1	no	—
1837	C₄	—	2	1	no	—
1838	C₄	—	2	1	no	—
1839	C₄	—	2	1	no	—
1840	C₄	—	2	1	no	—
1841	C₄	—	4	1	no	—
1842	C₄	—	4	1	no	—
1843	C₄	—	4	1	no	—
1844	C₄	—	4	1	no	—
1845	C₄	—	4	1	no	—
1846	C₄	—	4	1	no	—
1847	C₄	—	4	1	no	—
1848	C₄	—	4	1	no	—
1849	C₄	—	4	1	no	—
1850	C₄	—	4	1	no	—
1851	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1852	C₄	C₂×C₃₁×H(5,𝔽₂)	1	1	yes	characteristic
1853	C₂	—	4	1	no	—
1854	C₂	—	4	1	no	—
1855	C₂	—	4	1	no	—
1856	C₂	—	4	1	no	—
1857	C₂	—	4	1	no	—
1858	C₂	—	8	1	no	—
1859	C₂	—	8	1	no	—
1860	C₂	—	8	1	no	—
1861	C₂	—	8	1	no	—
1862	C₂	C₃₁×#3484	1	1	yes	characteristic
1863	C₂	C₃₁×#3584	1	1	yes	characteristic
1864	C₂	C₃₁×#3586	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₃₁×#3541	C₂	semidirect
2. C₃₁×#3487	C₂	semidirect
3. C₃₁×#3333	C₂	semidirect
4. C₃₁×#3326	C₂	semidirect
5. C₃₁×#3317	C₂	semidirect
6. C₃₁×#3316	C₂	semidirect
7. C₃₁×#3313	C₂	semidirect
8. C₃₁×#3309	C₂	semidirect
9. C₃₁×#3304	C₂	semidirect
10. C₃₁×#3300	C₂	semidirect
11. C₃₁×#3285	C₂	semidirect
12. C₃₁×#3284	C₂	semidirect
13. C₃₁×#3278	C₂	semidirect
14. C₃₁×#3277	C₂	semidirect
15. C₃₁×#3271	C₂	semidirect
16. C₃₁×#3271	C₂	semidirect
17. C₃₁×#3270	C₂	semidirect
18. C₃₁×#3269	C₂	semidirect
19. C₃₁×#3224	C₂	semidirect
20. C₃₁×#3222	C₂	semidirect
21. C₃₁×#3200	C₂	semidirect
22. C₃₁×#3198	C₂	semidirect
23. C₃₁×#3197	C₂	semidirect
24. C₃₁×#3190	C₂	semidirect
25. C₃₁×#3127	C₂	semidirect
26. C₃₁×#3121	C₂	semidirect
27. C₃₁×#3013	C₂	semidirect
28. C₃₁×#3011	C₂	semidirect
29. C₃₁×#3007	C₂	semidirect
30. C₃₁×#3002	C₂	semidirect
31. C₃₁×#2976	C₂	semidirect
36. C₂×C₃₁×#137	C₂²	semidirect
37. C₂×C₃₁×#137	C₂²	semidirect
40. C₂×C₃₁×#135	C₂²	semidirect
41. C₂²×Q₁₆×C₃₁	C₂²	semidirect
44. C₃₁×#556	C₂²	semidirect
46. C₃₁×#554	C₂²	semidirect
48. C₃₁×#553	C₂²	semidirect
49. C₃₁×#552	C₂²	semidirect
56. D₄×Q₈×C₃₁	C₂²	semidirect
63. C₃₁×#548	C₂²	semidirect
64. C₃₁×#548	C₂²	semidirect
65. C₃₁×#547	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
96. C₃₁×#485	C₂²	semidirect
97. C₃₁×#483	C₂²	semidirect
99. C₃₁×#482	C₂²	semidirect
100. C₃₁×#482	C₂²	semidirect
101. C₃₁×#482	C₂²	semidirect
102. C₃₁×#481	C₂²	semidirect
103. C₃₁×#480	C₂²	semidirect
104. C₃₁×#480	C₂²	semidirect
105. C₃₁×#479	C₂²	semidirect
106. C₃₁×#479	C₂²	semidirect
107. C₃₁×#477	C₂²	semidirect
108. C₃₁×#475	C₂²	semidirect
109. C₃₁×#470	C₂²	semidirect
110. C₃₁×#469	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×#467	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×#464	C₂²	semidirect
129. C₃₁×#464	C₂²	semidirect
130. C₃₁×#463	C₂²	semidirect
131. C₃₁×#462	C₂²	semidirect
132. C₃₁×#462	C₂²	semidirect
133. C₃₁×#460	C₂²	semidirect
134. C₃₁×#460	C₂²	semidirect
135. C₃₁×#460	C₂²	semidirect
136. C₃₁×#459	C₂²	semidirect
146. C₃₁×#452	C₂²	semidirect
147. C₃₁×#452	C₂²	semidirect
148. C₃₁×#452	C₂²	semidirect
149. C₃₁×#452	C₂²	semidirect
153. C₃₁×#451	C₂²	semidirect
154. C₃₁×#451	C₂²	semidirect
155. C₃₁×#451	C₂²	semidirect
156. C₃₁×#451	C₂²	semidirect
163. C₃₁×#449	C₂²	semidirect
164. C₃₁×#449	C₂²	semidirect
165. C₃₁×#449	C₂²	semidirect
166. C₃₁×#449	C₂²	semidirect
168. C₃₁×#448	C₂²	semidirect
169. C₃₁×#448	C₂²	semidirect
170. C₃₁×#448	C₂²	semidirect
171. C₃₁×#448	C₂²	semidirect
173. C₃₁×#441	C₂²	semidirect
174. C₃₁×#441	C₂²	semidirect
175. C₃₁×#441	C₂²	semidirect
176. C₃₁×#440	C₂²	semidirect
177. C₄×Q₁₆×C₃₁	C₂²	semidirect
178. C₄×Q₁₆×C₃₁	C₂²	semidirect
179. C₄×Q₁₆×C₃₁	C₂²	semidirect
180. C₄×SD₁₆×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
191. C₃₁×#419	C₂²	semidirect
194. C₃₁×#417	C₂²	semidirect
197. C₃₁×#416	C₂²	semidirect
198. C₂×C₃₁×#103	C₂²	semidirect
735. #61615	C₃₁	direct (N × H)
868. #3541	C₂×C₃₁	semidirect
869. #3487	C₂×C₃₁	semidirect
870. #3333	C₂×C₃₁	semidirect
871. #3326	C₂×C₃₁	semidirect
872. #3317	C₂×C₃₁	semidirect
873. #3316	C₂×C₃₁	semidirect
874. #3313	C₂×C₃₁	semidirect
875. #3309	C₂×C₃₁	semidirect
876. #3304	C₂×C₃₁	semidirect
877. #3300	C₂×C₃₁	semidirect
878. #3285	C₂×C₃₁	semidirect
879. #3284	C₂×C₃₁	semidirect
880. #3278	C₂×C₃₁	semidirect
881. #3277	C₂×C₃₁	semidirect
882. #3271	C₂×C₃₁	semidirect
883. #3271	C₂×C₃₁	semidirect
884. #3270	C₂×C₃₁	semidirect
885. #3269	C₂×C₃₁	semidirect
886. #3224	C₂×C₃₁	semidirect
887. #3222	C₂×C₃₁	semidirect
888. #3200	C₂×C₃₁	semidirect
889. #3198	C₂×C₃₁	semidirect
890. #3197	C₂×C₃₁	semidirect
891. #3190	C₂×C₃₁	semidirect
892. #3127	C₂×C₃₁	semidirect
893. #3121	C₂×C₃₁	semidirect
894. #3013	C₂×C₃₁	semidirect
895. #3011	C₂×C₃₁	semidirect
896. #3007	C₂×C₃₁	semidirect
897. #3002	C₂×C₃₁	semidirect
898. #2976	C₂×C₃₁	semidirect
956. C₂×#137	C₂²×C₃₁	semidirect
957. C₂×#137	C₂²×C₃₁	semidirect
960. C₂×#135	C₂²×C₃₁	semidirect
961. C₂²×Q₁₆	C₂²×C₃₁	semidirect
964. #556	C₂²×C₃₁	semidirect
966. #554	C₂²×C₃₁	semidirect
968. #553	C₂²×C₃₁	semidirect
969. #552	C₂²×C₃₁	semidirect
976. D₄×Q₈	C₂²×C₃₁	semidirect
983. #548	C₂²×C₃₁	semidirect
984. #548	C₂²×C₃₁	semidirect
985. #547	C₂²×C₃₁	semidirect
1005. #497	C₂²×C₃₁	semidirect
1006. #496	C₂²×C₃₁	semidirect
1007. #495	C₂²×C₃₁	semidirect
1008. #492	C₂²×C₃₁	semidirect
1009. #490	C₂²×C₃₁	semidirect
1010. #489	C₂²×C₃₁	semidirect
1011. #488	C₂²×C₃₁	semidirect
1012. #486	C₂²×C₃₁	semidirect
1016. #485	C₂²×C₃₁	semidirect
1017. #483	C₂²×C₃₁	semidirect
1019. #482	C₂²×C₃₁	semidirect
1020. #482	C₂²×C₃₁	semidirect
1021. #482	C₂²×C₃₁	semidirect
1022. #481	C₂²×C₃₁	semidirect
1023. #480	C₂²×C₃₁	semidirect
1024. #480	C₂²×C₃₁	semidirect
1025. #479	C₂²×C₃₁	semidirect
1026. #479	C₂²×C₃₁	semidirect
1027. #477	C₂²×C₃₁	semidirect
1028. #475	C₂²×C₃₁	semidirect
1029. #470	C₂²×C₃₁	semidirect
1030. #469	C₂²×C₃₁	semidirect
1031. #469	C₂²×C₃₁	semidirect
1032. #468	C₂²×C₃₁	semidirect
1033. #468	C₂²×C₃₁	semidirect
1034. #468	C₂²×C₃₁	semidirect
1035. #468	C₂²×C₃₁	semidirect
1036. #468	C₂²×C₃₁	semidirect
1037. #467	C₂²×C₃₁	semidirect
1038. #467	C₂²×C₃₁	semidirect
1039. #466	C₂²×C₃₁	semidirect
1040. #465	C₂²×C₃₁	semidirect
1041. #465	C₂²×C₃₁	semidirect
1042. #465	C₂²×C₃₁	semidirect
1043. #465	C₂²×C₃₁	semidirect
1044. #465	C₂²×C₃₁	semidirect
1045. #464	C₂²×C₃₁	semidirect
1046. #464	C₂²×C₃₁	semidirect
1047. #464	C₂²×C₃₁	semidirect
1048. #464	C₂²×C₃₁	semidirect
1049. #464	C₂²×C₃₁	semidirect
1050. #463	C₂²×C₃₁	semidirect
1051. #462	C₂²×C₃₁	semidirect
1052. #462	C₂²×C₃₁	semidirect
1053. #460	C₂²×C₃₁	semidirect
1054. #460	C₂²×C₃₁	semidirect
1055. #460	C₂²×C₃₁	semidirect
1056. #459	C₂²×C₃₁	semidirect
1066. #452	C₂²×C₃₁	semidirect
1067. #452	C₂²×C₃₁	semidirect
1068. #452	C₂²×C₃₁	semidirect
1069. #452	C₂²×C₃₁	semidirect
1073. #451	C₂²×C₃₁	semidirect
1074. #451	C₂²×C₃₁	semidirect
1075. #451	C₂²×C₃₁	semidirect
1076. #451	C₂²×C₃₁	semidirect
1083. #449	C₂²×C₃₁	semidirect
1084. #449	C₂²×C₃₁	semidirect
1085. #449	C₂²×C₃₁	semidirect
1086. #449	C₂²×C₃₁	semidirect
1088. #448	C₂²×C₃₁	semidirect
1089. #448	C₂²×C₃₁	semidirect
1090. #448	C₂²×C₃₁	semidirect
1091. #448	C₂²×C₃₁	semidirect
1093. #441	C₂²×C₃₁	semidirect
1094. #441	C₂²×C₃₁	semidirect
1095. #441	C₂²×C₃₁	semidirect
1096. #440	C₂²×C₃₁	semidirect
1097. C₄×Q₁₆	C₂²×C₃₁	semidirect
1098. C₄×Q₁₆	C₂²×C₃₁	semidirect
1099. C₄×Q₁₆	C₂²×C₃₁	semidirect
1100. C₄×SD₁₆	C₂²×C₃₁	semidirect
1101. #436	C₂²×C₃₁	semidirect
1102. #436	C₂²×C₃₁	semidirect
1103. #435	C₂²×C₃₁	semidirect
1104. #435	C₂²×C₃₁	semidirect
1105. #435	C₂²×C₃₁	semidirect
1106. #435	C₂²×C₃₁	semidirect
1107. C₈×D₄	C₂²×C₃₁	semidirect
1108. C₈×D₄	C₂²×C₃₁	semidirect
1111. #419	C₂²×C₃₁	semidirect
1114. #417	C₂²×C₃₁	semidirect
1117. #416	C₂²×C₃₁	semidirect
1118. C₂×#103	C₂²×C₃₁	semidirect
1422. C₃₁	#61615	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×#3487	2
C₃₁×#3333	2
C₃₁×#3326	2
C₃₁×#3317	2
C₃₁×#3316	2
C₃₁×#3313	2
C₃₁×#3309	2
C₃₁×#3304	2
C₃₁×#3300	2
C₃₁×#3285	2
C₃₁×#3284	2
C₃₁×#3278	2
C₃₁×#3277	2
C₃₁×#3271	2
C₃₁×#3270	2
C₃₁×#3269	2
C₃₁×#3224	2
C₃₁×#3222	2
C₃₁×#3200	2
C₃₁×#3198	2
C₃₁×#3197	2
C₃₁×#3190	2
C₃₁×#3127	2
C₃₁×#3121	2
C₃₁×#3013	2
C₃₁×#3011	2
C₃₁×#3007	2
C₃₁×#3002	2
C₃₁×#2976	2
#61615	31

Subgroups — C31×#61615 #21518374

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#61615 #21518374