Subgroups — #32205278

Order 18176.

1496 conjugacy classes of subgroups.

The subgroup lattice has 1330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22596678	C₂	1	1	yes	maximal, characteristic, complemented
2	#22596645	C₂	1	1	yes	maximal, characteristic, complemented
3	#22596308	C₂	1	1	yes	maximal, characteristic, complemented
4	#22596262	C₂	1	1	yes	maximal, characteristic, complemented
5	#22596120	C₂	1	1	yes	maximal, characteristic, complemented
6	#22596116	C₂	1	1	yes	maximal, characteristic, complemented
7	#22596109	C₂	1	1	yes	maximal, characteristic, complemented
8	#22595982	C₂	1	1	yes	maximal, characteristic
9	#22595982	C₂	1	1	yes	maximal, characteristic
10	#22595826	C₂	1	1	yes	maximal, characteristic, complemented
11	#22595820	C₂	1	1	yes	maximal, characteristic, complemented
12	#22595819	C₂	1	1	yes	maximal, characteristic, complemented
13	#22595651	C₂	1	1	yes	maximal, characteristic, complemented
14	#22595552	C₂	1	1	yes	maximal, characteristic
15	#22595361	C₂	1	1	yes	maximal, characteristic
16	#22595216	C₂	1	1	yes	maximal, characteristic, complemented
17	#22594992	C₂	1	1	yes	maximal, characteristic, complemented
18	#22594541	C₂	1	1	yes	maximal, characteristic, complemented
19	#22594539	C₂	1	1	yes	maximal, characteristic, complemented
20	#22594046	C₂	1	1	yes	maximal, characteristic, complemented
21	#22594008	C₂	1	1	yes	maximal, characteristic, complemented
22	#22593994	C₂	1	1	yes	maximal, characteristic, complemented
23	#22593991	C₂	1	1	yes	maximal, characteristic, complemented
24	#22593569	C₂	1	1	yes	maximal, characteristic, complemented
25	#22593558	C₂	1	1	yes	maximal, characteristic, complemented
26	#22592049	C₂	1	1	yes	maximal, characteristic, complemented
27	#22592011	C₂	1	1	yes	maximal, characteristic, complemented
28	#22590979	C₂	1	1	yes	maximal, characteristic
29	#22590972	C₂	1	1	yes	maximal, characteristic
30	#22590778	C₂	1	1	yes	maximal, characteristic
31	C₇₁×#2726	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14556108	C₂²	1	1	yes	characteristic
33	C₂×#14556106	C₂²	1	1	yes	characteristic
34	C₂×#14556090	C₂²	1	1	yes	characteristic
35	C₂×#14556086	C₂²	1	1	yes	characteristic
36	C₂×C₄²×D₇₁	C₂²	1	1	yes	characteristic
37	#17985941	C₂²	1	1	yes	characteristic
38	#17985941	C₂²	1	1	yes	characteristic
39	#17985941	C₂²	1	1	yes	characteristic
40	#17985941	C₂²	1	1	yes	characteristic
41	#17985938	C₂²	1	1	yes	characteristic
42	#17985937	C₂²	1	1	yes	characteristic
43	#17985936	C₂²	1	1	yes	characteristic
44	#17985934	C₂²	1	1	yes	characteristic
45	#17985934	C₂²	1	1	yes	characteristic
46	#17985934	C₂²	1	1	yes	characteristic
47	#17985934	C₂²	1	1	yes	characteristic
48	#17985934	C₂²	1	1	yes	characteristic
49	#17985933	C₂²	1	1	yes	characteristic
50	#17985933	C₂²	1	1	yes	characteristic
51	#17985933	C₂²	1	1	yes	characteristic
52	#17985932	C₂²	1	1	yes	characteristic
53	#17985932	C₂²	1	1	yes	characteristic
54	#17985932	C₂²	1	1	yes	characteristic
55	#17985932	C₂²	1	1	yes	characteristic
56	#17985932	C₂²	1	1	yes	characteristic
57	#17985932	C₂²	1	1	yes	characteristic
58	#17985931	C₂²	1	1	yes	characteristic
59	#17985931	C₂²	1	1	yes	characteristic
60	#17985931	C₂²	1	1	yes	characteristic
61	#17985931	C₂²	1	1	yes	characteristic
62	#17985931	C₂²	1	1	yes	characteristic
63	#17985930	C₂²	1	1	yes	characteristic
64	#17985930	C₂²	1	1	yes	characteristic
65	#17985930	C₂²	1	1	yes	characteristic
66	#17985929	C₂²	1	1	yes	characteristic
67	#17985923	C₂²	1	1	yes	characteristic
68	#17985921	C₂²	1	1	yes	characteristic
69	#17985921	C₂²	1	1	yes	characteristic
70	#17985921	C₂²	1	1	yes	characteristic
71	#17985921	C₂²	1	1	yes	characteristic
72	#17985921	C₂²	1	1	yes	characteristic
73	#17985921	C₂²	1	1	yes	characteristic
74	#17985921	C₂²	1	1	yes	characteristic
75	#17985921	C₂²	1	1	yes	characteristic
76	#17985921	C₂²	1	1	yes	characteristic
77	#17985919	C₂²	1	1	yes	characteristic
78	#17985919	C₂²	1	1	yes	characteristic
79	#17985905	C₂²	1	1	yes	characteristic
80	#17985904	C₂²	1	1	yes	characteristic
81	#17985903	C₂²	1	1	yes	characteristic
82	#17985901	C₂²	1	1	yes	characteristic
83	#17985900	C₂²	1	1	yes	characteristic
84	#17985898	C₂²	1	1	yes	characteristic
85	#17985898	C₂²	1	1	yes	characteristic
86	#17985898	C₂²	1	1	yes	characteristic
87	#17985898	C₂²	1	1	yes	characteristic
88	#17985897	C₂²	1	1	yes	characteristic
89	#17985897	C₂²	1	1	yes	characteristic
90	#17985896	C₂²	1	1	yes	characteristic
91	#17985895	C₂²	1	1	yes	characteristic
92	#17985895	C₂²	1	1	yes	characteristic
93	#17985895	C₂²	1	1	yes	characteristic
94	#17985895	C₂²	1	1	yes	characteristic
95	#17985894	C₂²	1	1	yes	characteristic
96	#17985894	C₂²	1	1	yes	characteristic
97	#17985894	C₂²	1	1	yes	characteristic
98	#17985894	C₂²	1	1	yes	characteristic
99	#17985894	C₂²	1	1	yes	characteristic
100	#17985891	C₂²	1	1	yes	characteristic
101	#17985891	C₂²	1	1	yes	characteristic
102	#17985890	C₂²	1	1	yes	characteristic
103	#17985890	C₂²	1	1	yes	characteristic
104	#17985889	C₂²	1	1	yes	characteristic
105	#17985889	C₂²	1	1	yes	characteristic
106	#17985888	C₂²	1	1	yes	characteristic
107	#17985888	C₂²	1	1	yes	characteristic
108	#17985886	C₂²	1	1	yes	characteristic
109	#17985886	C₂²	1	1	yes	characteristic
110	#17985886	C₂²	1	1	yes	characteristic
111	#17985886	C₂²	1	1	yes	characteristic
112	#17985885	C₂²	1	1	yes	characteristic
113	#17985885	C₂²	1	1	yes	characteristic
114	#17985885	C₂²	1	1	yes	characteristic
115	#17985885	C₂²	1	1	yes	characteristic
116	#17985885	C₂²	1	1	yes	characteristic
117	#17985885	C₂²	1	1	yes	characteristic
118	#17985884	C₂²	1	1	yes	characteristic
119	#17985884	C₂²	1	1	yes	characteristic
120	#17985883	C₂²	1	1	yes	characteristic
121	#17985883	C₂²	1	1	yes	characteristic
122	#17985882	C₂²	1	1	yes	characteristic
123	#17985882	C₂²	1	1	yes	characteristic
124	#17985881	C₂²	1	1	yes	characteristic
125	#17985880	C₂²	1	1	yes	characteristic
126	#17985880	C₂²	1	1	yes	characteristic
127	#17985880	C₂²	1	1	yes	characteristic
128	#17985880	C₂²	1	1	yes	characteristic
129	#17985880	C₂²	1	1	yes	characteristic
130	#17985877	C₂²	1	1	yes	characteristic
131	#17985877	C₂²	1	1	yes	characteristic
132	#17985877	C₂²	1	1	yes	characteristic
133	#17985877	C₂²	1	1	yes	characteristic
134	#17985873	C₂²	1	1	yes	characteristic
135	#17985873	C₂²	1	1	yes	characteristic
136	#17985873	C₂²	1	1	yes	characteristic
137	#17985870	C₂²	1	1	yes	characteristic
138	#17985870	C₂²	1	1	yes	characteristic
139	#17985870	C₂²	1	1	yes	characteristic
140	#17985870	C₂²	1	1	yes	characteristic
141	#17985870	C₂²	1	1	yes	characteristic
142	#17985870	C₂²	1	1	yes	characteristic
143	#17985870	C₂²	1	1	yes	characteristic
144	#17985870	C₂²	1	1	yes	characteristic
145	#17985870	C₂²	1	1	yes	characteristic
146	#17985870	C₂²	1	1	yes	characteristic
147	#17985870	C₂²	1	1	yes	characteristic
148	#17985868	C₂²	1	1	yes	characteristic
149	#17985868	C₂²	1	1	yes	characteristic
150	#17985866	C₂²	1	1	yes	characteristic
151	#17985865	C₂²	1	1	yes	characteristic
152	#17985863	C₂²	1	1	yes	characteristic
153	#17985863	C₂²	1	1	yes	characteristic
154	#17985861	C₂²	1	1	yes	characteristic
155	#17985861	C₂²	1	1	yes	characteristic
156	#17985861	C₂²	1	1	yes	characteristic
157	#17985858	C₂²	1	1	yes	characteristic
158	#17985856	C₂²	1	1	yes	characteristic
159	#17985856	C₂²	1	1	yes	characteristic
160	#17985856	C₂²	1	1	yes	characteristic
161	#17985856	C₂²	1	1	yes	characteristic
162	#17985856	C₂²	1	1	yes	characteristic
163	#17985856	C₂²	1	1	yes	characteristic
164	C₄⋊C₄×Dic₇₁	C₂²	1	1	yes	characteristic
165	#17985850	C₂²	1	1	yes	characteristic
166	C₄×(C₂×D₇₁)⋊C₄	C₂²	1	1	yes	characteristic
167	#17985846	C₂²	1	1	yes	characteristic
168	#17985846	C₂²	1	1	yes	characteristic
169	#17985845	C₂²	1	1	yes	characteristic
170	#17985844	C₂²	1	1	yes	characteristic
171	#95×D₇₁	C₂²	1	1	yes	characteristic
172	C₂×#125×C₇₁	C₂²	1	1	yes	characteristic
173	C₂×#125×C₇₁	C₂²	1	1	yes	characteristic
174	#398×C₇₁	C₂²	1	1	yes	characteristic
175	#398×C₇₁	C₂²	1	1	yes	characteristic
176	#398×C₇₁	C₂²	1	1	yes	characteristic
177	#398×C₇₁	C₂²	1	1	yes	characteristic
178	#398×C₇₁	C₂²	1	1	yes	characteristic
179	#398×C₇₁	C₂²	1	1	yes	characteristic
180	#389×C₇₁	C₂²	1	1	yes	characteristic
181	#389×C₇₁	C₂²	1	1	yes	characteristic
182	#389×C₇₁	C₂²	1	1	yes	characteristic
183	#389×C₇₁	C₂²	1	1	yes	characteristic
184	#389×C₇₁	C₂²	1	1	yes	characteristic
185	#387×C₇₁	C₂²	1	1	yes	characteristic
186	#387×C₇₁	C₂²	1	1	yes	characteristic
187	C₂²×Dic₁₄₂	C₂³	1	1	yes	characteristic
188	C₂²×D₂₈₄	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₇₁	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₇₁	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₇₁	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₇₁	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₇₁	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇₁	C₂³	1	1	yes	characteristic
195	#14556108	—	4	2	no	—
196	#14556106	—	4	2	no	—
197	#14556090	Q₈	1	8	yes	complemented
198	#14556086	—	4	2	no	—
199	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
200	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
213	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₇₁)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
267	C₄²×D₇₁	—	4	2	no	—
268	C₇₁⋊#95	C₂³	1	1	yes	characteristic
269	C₇₁⋊#95	C₂³	1	1	yes	characteristic
270	C₇₁⋊#95	C₂³	1	1	yes	characteristic
271	C₇₁⋊#95	C₂³	1	1	yes	characteristic
272	C₇₁⋊#95	C₂³	1	1	yes	characteristic
273	C₇₁⋊#95	C₂³	1	1	yes	characteristic
274	C₇₁⋊#95	C₂³	1	1	yes	characteristic
275	C₇₁⋊#95	C₂³	1	1	yes	characteristic
276	C₇₁⋊#95	C₂³	1	1	yes	characteristic
277	C₇₁⋊#95	C₂³	1	1	yes	characteristic
278	C₇₁⋊#95	C₂³	1	1	yes	characteristic
279	C₇₁⋊#95	C₂³	1	1	yes	characteristic
280	C₇₁⋊#95	C₂³	1	1	yes	characteristic
281	C₇₁⋊#95	C₂³	1	1	yes	characteristic
282	C₇₁⋊#95	C₂³	1	1	yes	characteristic
283	C₇₁⋊#95	C₂³	1	1	yes	characteristic
284	C₇₁⋊#95	C₂³	1	1	yes	characteristic
285	C₇₁⋊#95	C₂³	1	1	yes	characteristic
286	C₇₁⋊#95	C₂³	1	1	yes	characteristic
287	C₇₁⋊#95	C₂³	1	1	yes	characteristic
288	C₇₁⋊#95	C₂³	1	1	yes	characteristic
289	C₇₁⋊#95	C₂³	1	1	yes	characteristic
290	C₇₁⋊#95	C₂³	1	1	yes	characteristic
291	C₇₁⋊#95	C₂³	1	1	yes	characteristic
292	C₇₁⋊#95	C₂³	1	1	yes	characteristic
293	C₇₁⋊#95	C₂³	1	1	yes	characteristic
294	C₇₁⋊#95	C₂³	1	1	yes	characteristic
295	C₇₁⋊#95	C₂³	1	1	yes	characteristic
296	C₇₁⋊#95	C₂³	1	1	yes	characteristic
297	C₇₁⋊#95	C₂³	1	1	yes	characteristic
298	C₇₁⋊#95	C₂³	1	1	yes	characteristic
299	C₇₁⋊#95	C₂³	1	1	yes	characteristic
300	C₇₁⋊#95	C₂³	1	1	yes	characteristic
301	C₇₁⋊#95	C₂³	1	1	yes	characteristic
302	C₇₁⋊#95	C₂³	1	1	yes	characteristic
303	C₇₁⋊#95	C₂³	1	1	yes	characteristic
304	C₇₁⋊#95	C₂³	1	1	yes	characteristic
305	C₇₁⋊#95	C₂³	1	1	yes	characteristic
306	C₇₁⋊#95	C₂³	1	1	yes	characteristic
307	C₇₁⋊#95	C₂³	1	1	yes	characteristic
308	C₇₁⋊#95	C₂³	1	1	yes	characteristic
309	C₇₁⋊#95	C₂³	1	1	yes	characteristic
310	C₇₁⋊#95	C₂³	1	1	yes	characteristic
311	C₇₁⋊#95	C₂³	1	1	yes	characteristic
312	#125×C₇₁	—	4	2	no	—
313	#125×C₇₁	—	4	2	no	—
314	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
315	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₇₁	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₇₁	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₇₁	C₂³	1	1	yes	characteristic
337	#95×C₇₁	C₂³	1	1	yes	characteristic
338	#95×C₇₁	C₂³	1	1	yes	characteristic
339	#95×C₇₁	C₂³	1	1	yes	characteristic
340	#95×C₇₁	C₂³	1	1	yes	characteristic
341	#95×C₇₁	C₂³	1	1	yes	characteristic
342	#95×C₇₁	C₂³	1	1	yes	characteristic
343	#95×C₇₁	C₂³	1	1	yes	characteristic
344	#95×C₇₁	C₂³	1	1	yes	characteristic
345	#95×C₇₁	C₂³	1	1	yes	characteristic
346	#95×C₇₁	C₂³	1	1	yes	characteristic
347	#95×C₇₁	C₂³	1	1	yes	characteristic
348	#95×C₇₁	C₂³	1	1	yes	characteristic
349	C₂³×D₇₁	C₂⁴	1	1	yes	characteristic
350	C₂³×D₇₁	C₂⁴	1	1	yes	characteristic
351	C₂×Dic₁₄₂	—	2	2	no	—
352	C₂×Dic₁₄₂	—	4	1	no	—
353	C₂×Dic₁₄₂	—	4	1	no	—
354	C₂×D₂₈₄	—	4	1	no	—
355	C₂×D₂₈₄	—	4	1	no	—
356	C₂×D₂₈₄	C₂×Q₈	1	4	yes	—
357	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
358	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
359	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
360	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
361	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
362	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
363	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
364	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
365	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
366	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
367	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
368	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
369	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
370	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
371	C₂×C₄×D₇₁	—	2	2	no	—
372	C₂×C₄×D₇₁	—	4	1	no	—
373	C₂×C₄×D₇₁	—	4	1	no	—
374	C₂×C₄×D₇₁	—	4	1	no	—
375	C₂×C₄×D₇₁	—	4	1	no	—
376	C₂×C₄×D₇₁	—	4	1	no	—
377	C₂×C₄×D₇₁	—	4	1	no	—
378	C₂×C₄×D₇₁	—	4	1	no	—
379	C₂×C₄×D₇₁	—	4	1	no	—
380	C₂×C₄×D₇₁	—	4	1	no	—
381	C₂×C₄×D₇₁	—	4	1	no	—
382	C₂×C₄×D₇₁	—	4	1	no	—
383	C₂×C₄×D₇₁	—	4	1	no	—
384	C₂×C₄×D₇₁	—	4	1	no	—
385	C₂×C₄×D₇₁	—	4	1	no	—
386	C₂×C₄×D₇₁	—	4	1	no	—
387	C₂×C₄×D₇₁	C₂×Q₈	1	4	yes	—
388	C₂×C₄×D₇₁	C₂×Q₈	1	4	yes	—
389	C₄⋊Dic₇₁	—	4	1	no	—
390	C₄⋊Dic₇₁	—	4	1	no	—
391	C₄⋊Dic₇₁	—	4	1	no	—
392	C₄⋊Dic₇₁	—	4	1	no	—
393	C₄⋊Dic₇₁	—	4	1	no	—
394	C₄⋊Dic₇₁	—	4	1	no	—
395	C₄⋊Dic₇₁	—	4	1	no	—
396	C₄⋊Dic₇₁	—	4	1	no	—
397	C₄⋊Dic₇₁	—	4	1	no	—
398	C₄⋊Dic₇₁	—	4	1	no	—
399	C₄⋊Dic₇₁	—	4	1	no	—
400	C₄⋊Dic₇₁	—	4	1	no	—
401	C₄⋊Dic₇₁	—	4	1	no	—
402	C₄⋊Dic₇₁	—	4	1	no	—
403	Dic₇₁⋊C₄	—	4	1	no	—
404	Dic₇₁⋊C₄	—	4	1	no	—
405	Dic₇₁⋊C₄	—	4	1	no	—
406	Dic₇₁⋊C₄	—	4	1	no	—
407	Dic₇₁⋊C₄	—	4	1	no	—
408	Dic₇₁⋊C₄	—	4	1	no	—
409	Dic₇₁⋊C₄	—	4	1	no	—
410	Dic₇₁⋊C₄	—	4	1	no	—
411	Dic₇₁⋊C₄	—	4	1	no	—
412	Dic₇₁⋊C₄	—	4	1	no	—
413	Dic₇₁⋊C₄	—	4	1	no	—
414	Dic₇₁⋊C₄	—	4	1	no	—
415	Dic₇₁⋊C₄	—	4	1	no	—
416	Dic₇₁⋊C₄	—	4	1	no	—
417	Dic₇₁⋊C₄	—	4	1	no	—
418	Dic₇₁⋊C₄	—	4	1	no	—
419	Dic₇₁⋊C₄	—	4	1	no	—
420	Dic₇₁⋊C₄	—	4	1	no	—
421	Dic₇₁⋊C₄	—	4	1	no	—
422	Dic₇₁⋊C₄	—	4	1	no	—
423	Dic₇₁⋊C₄	—	4	1	no	—
424	Dic₇₁⋊C₄	—	4	1	no	—
425	(C₂×D₇₁)⋊C₄	—	2	2	no	—
426	(C₂×D₇₁)⋊C₄	—	4	1	no	—
427	(C₂×D₇₁)⋊C₄	—	4	1	no	—
428	(C₂×D₇₁)⋊C₄	—	4	1	no	—
429	(C₂×D₇₁)⋊C₄	—	4	1	no	—
430	(C₂×D₇₁)⋊C₄	—	4	1	no	—
431	(C₂×D₇₁)⋊C₄	—	4	1	no	—
432	(C₂×D₇₁)⋊C₄	—	4	1	no	—
433	(C₂×D₇₁)⋊C₄	—	4	1	no	—
434	(C₂×D₇₁)⋊C₄	—	4	1	no	—
435	(C₂×D₇₁)⋊C₄	—	4	1	no	—
436	(C₂×D₇₁)⋊C₄	—	4	1	no	—
437	(C₂×D₇₁)⋊C₄	—	4	1	no	—
438	(C₂×D₇₁)⋊C₄	—	4	1	no	—
439	(C₂×D₇₁)⋊C₄	—	4	1	no	—
440	(C₂×D₇₁)⋊C₄	—	4	1	no	—
441	(C₂×D₇₁)⋊C₄	—	4	1	no	—
442	(C₂×D₇₁)⋊C₄	—	4	1	no	—
443	(C₂×D₇₁)⋊C₄	—	4	1	no	—
444	(C₂×D₇₁)⋊C₄	—	4	1	no	—
445	(C₂×D₇₁)⋊C₄	C₂×Q₈	1	4	yes	—
446	(C₂×D₇₁)⋊C₄	C₂×Q₈	1	4	yes	—
447	C₄×Dic₇₁	—	2	2	no	—
448	C₄×Dic₇₁	—	4	1	no	—
449	C₄×Dic₇₁	—	4	1	no	—
450	C₄×Dic₇₁	—	4	1	no	—
451	C₄×Dic₇₁	—	4	1	no	—
452	C₄×Dic₇₁	—	4	1	no	—
453	C₄×Dic₇₁	—	4	1	no	—
454	C₄×Dic₇₁	—	4	1	no	—
455	C₄×Dic₇₁	—	4	1	no	—
456	C₄×Dic₇₁	C₂×Q₈	1	4	yes	—
457	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
472	C₄⋊C₄×C₇₁	—	2	2	no	—
473	C₄⋊C₄×C₇₁	—	2	2	no	—
474	C₄⋊C₄×C₇₁	—	2	2	no	—
475	C₄⋊C₄×C₇₁	—	2	2	no	—
476	C₄⋊C₄×C₇₁	—	4	1	no	—
477	C₄⋊C₄×C₇₁	—	4	1	no	—
478	C₄⋊C₄×C₇₁	—	4	1	no	—
479	C₄⋊C₄×C₇₁	—	4	1	no	—
480	C₄⋊C₄×C₇₁	—	4	1	no	—
481	C₄⋊C₄×C₇₁	—	4	1	no	—
482	C₄⋊C₄×C₇₁	—	4	1	no	—
483	C₄⋊C₄×C₇₁	—	4	1	no	—
484	C₄⋊C₄×C₇₁	—	4	1	no	—
485	C₄⋊C₄×C₇₁	—	4	1	no	—
486	C₄⋊C₄×C₇₁	—	4	1	no	—
487	C₄⋊C₄×C₇₁	—	4	1	no	—
488	C₄⋊C₄×C₇₁	—	4	1	no	—
489	C₄⋊C₄×C₇₁	—	4	1	no	—
490	C₄⋊C₄×C₇₁	—	4	1	no	—
491	C₄⋊C₄×C₇₁	C₂×Q₈	1	4	yes	—
492	C₄²×C₇₁	—	2	2	no	—
493	C₄²×C₇₁	—	4	1	no	—
494	C₄²×C₇₁	—	4	1	no	—
495	C₂³×C₇₁	C₂⁵	1	1	yes	characteristic
496	C₂²×D₇₁	—	2	1	no	—
497	C₂²×D₇₁	—	2	1	no	—
498	C₂²×D₇₁	—	2	1	no	—
499	C₂²×D₇₁	—	2	1	no	—
500	C₂²×D₇₁	—	2	1	no	—
501	C₂²×D₇₁	—	2	1	no	—
502	C₂²×D₇₁	—	2	1	no	—
503	C₂²×D₇₁	—	2	1	no	—
504	C₂²×D₇₁	—	2	1	no	—
505	C₂²×D₇₁	—	2	1	no	—
506	C₂²×D₇₁	—	2	1	no	—
507	C₂²×D₇₁	—	2	1	no	—
508	C₂²×D₇₁	C₂²×Q₈	1	2	yes	—
509	C₂²×D₇₁	C₂²×Q₈	1	2	yes	—
510	C₂×C₄×C₇₁	—	2	1	no	—
511	C₂×C₄×C₇₁	—	2	1	no	—
512	C₂×C₄×C₇₁	—	2	1	no	—
513	C₂×C₄×C₇₁	—	2	1	no	—
514	C₂×C₄×C₇₁	—	2	1	no	—
515	C₂×C₄×C₇₁	—	2	1	no	—
516	C₂×C₄×C₇₁	—	2	1	no	—
517	C₂×C₄×C₇₁	—	2	1	no	—
518	C₂×C₄×C₇₁	—	2	1	no	—
519	C₂×C₄×C₇₁	—	2	1	no	—
520	C₂×C₄×C₇₁	—	2	1	no	—
521	C₂×C₄×C₇₁	—	2	1	no	—
522	C₂×C₄×C₇₁	—	2	1	no	—
523	C₂×C₄×C₇₁	—	2	1	no	—
524	C₂×C₄×C₇₁	—	2	1	no	—
525	C₂×C₄×C₇₁	—	2	1	no	—
526	C₂×C₄×C₇₁	—	2	1	no	—
527	C₂×C₄×C₇₁	—	2	1	no	—
528	C₂×C₄×C₇₁	—	2	1	no	—
529	C₂×C₄×C₇₁	—	2	1	no	—
530	C₂×C₄×C₇₁	—	2	1	no	—
531	C₂×C₄×C₇₁	—	2	1	no	—
532	C₂×C₄×C₇₁	—	2	1	no	—
533	C₂×C₄×C₇₁	—	2	1	no	—
534	C₂×C₄×C₇₁	—	2	1	no	—
535	C₂×C₄×C₇₁	—	2	1	no	—
536	C₂×C₄×C₇₁	—	2	1	no	—
537	C₂×C₄×C₇₁	—	2	1	no	—
538	C₂×C₄×C₇₁	—	2	1	no	—
539	C₂×C₄×C₇₁	—	2	1	no	—
540	C₂×C₄×C₇₁	—	2	1	no	—
541	C₂×C₄×C₇₁	—	2	1	no	—
542	C₂×C₄×C₇₁	—	2	1	no	—
543	C₂×C₄×C₇₁	—	2	1	no	—
544	C₂×C₄×C₇₁	—	2	1	no	—
545	C₂×C₄×C₇₁	—	2	1	no	—
546	C₂×C₄×C₇₁	—	2	1	no	—
547	C₂×C₄×C₇₁	—	2	1	no	—
548	C₂×C₄×C₇₁	—	2	1	no	—
549	C₂×C₄×C₇₁	—	2	1	no	—
550	C₂×C₄×C₇₁	—	2	1	no	—
551	C₂×C₄×C₇₁	C₂²×Q₈	1	2	yes	—
552	C₂×C₄×C₇₁	C₂²×Q₈	1	2	yes	—
553	C₂×C₄×C₇₁	C₂²×Q₈	1	2	yes	—
554	C₂×C₄×C₇₁	H(5,𝔽₂)	1	2	yes	—
555	C₂×Dic₇₁	—	2	1	no	—
556	C₂×Dic₇₁	—	2	1	no	—
557	C₂×Dic₇₁	—	2	1	no	—
558	C₂×Dic₇₁	—	2	1	no	—
559	C₂×Dic₇₁	—	2	1	no	—
560	C₂×Dic₇₁	—	2	1	no	—
561	C₂×Dic₇₁	—	2	1	no	—
562	C₂×Dic₇₁	—	2	1	no	—
563	C₂×Dic₇₁	—	2	1	no	—
564	C₂×Dic₇₁	—	2	1	no	—
565	C₂×Dic₇₁	—	2	1	no	—
566	C₂×Dic₇₁	—	2	1	no	—
567	C₂×Dic₇₁	—	2	1	no	—
568	C₂×Dic₇₁	—	2	1	no	—
569	C₂×Dic₇₁	—	2	1	no	—
570	C₂×Dic₇₁	—	2	1	no	—
571	C₂×Dic₇₁	—	2	1	no	—
572	C₂×Dic₇₁	—	2	1	no	—
573	C₂×Dic₇₁	—	2	1	no	—
574	C₂×Dic₇₁	—	2	1	no	—
575	C₂×Dic₇₁	—	2	1	no	—
576	C₂×Dic₇₁	—	2	1	no	—
577	C₂×Dic₇₁	—	2	1	no	—
578	C₂×Dic₇₁	—	2	1	no	—
579	C₂×Dic₇₁	—	2	1	no	—
580	C₂×Dic₇₁	—	2	1	no	—
581	C₂×Dic₇₁	—	2	1	no	—
582	C₂×Dic₇₁	—	2	1	no	—
583	C₂×Dic₇₁	—	2	1	no	—
584	C₂×Dic₇₁	—	2	1	no	—
585	C₂×Dic₇₁	—	2	1	no	—
586	C₂×Dic₇₁	—	2	1	no	—
587	C₂×Dic₇₁	—	2	1	no	—
588	C₂×Dic₇₁	—	2	1	no	—
589	C₂×Dic₇₁	—	2	1	no	—
590	C₂×Dic₇₁	—	2	1	no	—
591	C₂×Dic₇₁	—	2	1	no	—
592	C₂×Dic₇₁	—	2	1	no	—
593	C₂×Dic₇₁	—	2	1	no	—
594	C₂×Dic₇₁	—	2	1	no	—
595	C₂×Dic₇₁	C₂²×Q₈	1	2	yes	—
596	C₂×Dic₇₁	C₂²×Q₈	1	2	yes	—
597	D₂₈₄	—	4	4	no	—
598	C₄×D₇₁	—	4	4	no	—
599	C₄×D₇₁	—	4	4	no	—
600	C₄×D₇₁	—	4	4	no	—
601	C₄×D₇₁	—	4	4	no	—
602	C₄×D₇₁	—	8	2	no	—
603	C₄×D₇₁	—	8	2	no	—
604	Dic₁₄₂	—	8	2	no	—
605	C₂²×C₇₁	C₂³×Q₈	1	1	yes	characteristic
606	C₂²×C₇₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
607	C₂²×C₇₁	#585	1	1	yes	characteristic
608	C₂²×C₇₁	#585	1	1	yes	characteristic
609	C₂²×C₇₁	#585	1	1	yes	characteristic
610	C₂²×C₇₁	#585	1	1	yes	characteristic
611	C₂²×C₇₁	#585	1	1	yes	characteristic
612	C₂×D₇₁	—	2	2	no	—
613	C₂×D₇₁	—	2	2	no	—
614	C₂×D₇₁	—	2	2	no	—
615	C₂×D₇₁	—	2	2	no	—
616	C₂×D₇₁	—	2	2	no	—
617	C₂×D₇₁	—	2	2	no	—
618	C₂×D₇₁	—	4	1	no	—
619	C₂×D₇₁	—	4	1	no	—
620	C₂×D₇₁	—	4	1	no	—
621	C₂×D₇₁	—	4	1	no	—
622	C₂×D₇₁	—	4	1	no	—
623	C₂×D₇₁	—	4	1	no	—
624	C₂×D₇₁	—	4	1	no	—
625	C₂×D₇₁	—	4	1	no	—
626	C₄×C₇₁	—	2	2	no	—
627	C₄×C₇₁	—	2	2	no	—
628	C₄×C₇₁	—	2	2	no	—
629	C₄×C₇₁	—	2	2	no	—
630	C₄×C₇₁	—	4	1	no	—
631	C₄×C₇₁	—	4	1	no	—
632	C₄×C₇₁	—	4	1	no	—
633	C₄×C₇₁	—	4	1	no	—
634	C₄×C₇₁	—	4	1	no	—
635	C₄×C₇₁	—	4	1	no	—
636	C₄×C₇₁	—	4	1	no	—
637	C₄×C₇₁	—	4	1	no	—
638	C₄×C₇₁	—	4	1	no	—
639	C₄×C₇₁	—	4	1	no	—
640	C₄×C₇₁	—	4	1	no	—
641	Dic₇₁	—	2	2	no	—
642	Dic₇₁	—	2	2	no	—
643	Dic₇₁	—	4	1	no	—
644	Dic₇₁	—	4	1	no	—
645	Dic₇₁	—	4	1	no	—
646	Dic₇₁	—	4	1	no	—
647	Dic₇₁	—	4	1	no	—
648	Dic₇₁	—	4	1	no	—
649	Dic₇₁	—	4	1	no	—
650	Dic₇₁	—	4	1	no	—
651	Dic₇₁	—	4	1	no	—
652	Dic₇₁	—	4	1	no	—
653	Dic₇₁	—	4	1	no	—
654	Dic₇₁	—	4	1	no	—
655	#36756	—	71	1	no	maximal, Sylow
656	C₂×C₇₁	#3458	1	1	yes	characteristic
657	C₂×C₇₁	#3501	1	1	yes	characteristic
658	C₂×C₇₁	#3504	1	1	yes	characteristic
659	C₂×C₇₁	#3533	1	1	yes	characteristic
660	C₂×C₇₁	#3539	1	1	yes	characteristic
661	C₂×C₇₁	#3566	1	1	yes	characteristic
662	C₂×C₇₁	#3567	1	1	yes	characteristic
663	D₇₁	—	4	2	no	—
664	D₇₁	—	4	2	no	—
665	#2855	—	71	1	no	—
666	#2851	—	71	1	no	—
667	#2807	—	71	1	no	—
668	#2802	—	71	1	no	—
669	#2791	—	71	1	no	—
670	#2790	—	71	1	no	—
671	#2790	—	71	1	no	—
672	#2780	—	71	1	no	—
673	#2780	—	71	1	no	—
674	#2768	—	71	1	no	—
675	#2768	—	71	1	no	—
676	#2768	—	71	1	no	—
677	#2755	—	71	1	no	—
678	#2748	—	71	1	no	—
679	#2732	—	71	1	no	—
680	#2726	D₇₁	1	1	yes	characteristic, complemented
681	#2720	—	71	1	no	—
682	#2704	—	71	1	no	—
683	#2667	—	71	1	no	—
684	#2667	—	71	1	no	—
685	#2612	—	71	1	no	—
686	#2608	—	71	1	no	—
687	#2606	—	71	1	no	—
688	#2606	—	71	1	no	—
689	#2570	—	71	1	no	—
690	#2569	—	71	1	no	—
691	#2441	—	71	1	no	—
692	#2438	—	71	1	no	—
693	#2319	—	71	1	no	—
694	#2318	—	71	1	no	—
695	#2290	—	71	1	no	—
696	C₇₁	#36756	1	1	yes	characteristic, complemented, Sylow
697	C₂×#125	C₂×D₇₁	1	1	yes	characteristic
698	C₂×#125	C₂×D₇₁	1	1	yes	characteristic
699	C₂×C₂²⋊Q₈	—	71	1	no	—
700	C₂×C₂²⋊Q₈	—	71	1	no	—
701	C₂×C₄×D₄	—	71	1	no	—
702	C₂×#117	—	71	1	no	—
703	C₂²×C₄²	—	71	1	no	—
704	#400	—	71	1	no	—
705	#400	—	71	1	no	—
706	#400	—	71	1	no	—
707	#400	—	71	1	no	—
708	#400	—	71	1	no	—
709	#400	—	71	1	no	—
710	#399	—	71	1	no	—
711	#399	—	71	1	no	—
712	#399	—	71	1	no	—
713	#399	—	71	1	no	—
714	#399	—	71	1	no	—
715	#399	—	71	1	no	—
716	#398	—	71	1	no	—
717	#398	—	71	1	no	—
718	#398	—	71	1	no	—
719	#398	—	71	1	no	—
720	#398	—	71	1	no	—
721	#398	—	71	1	no	—
722	#398	—	71	1	no	—
723	#398	—	71	1	no	—
724	#398	—	71	1	no	—
725	#398	—	71	1	no	—
726	#398	—	71	1	no	—
727	#398	—	71	1	no	—
728	#398	—	71	1	no	—
729	#398	—	71	1	no	—
730	#398	—	71	1	no	—
731	#398	—	71	1	no	—
732	#398	—	71	1	no	—
733	#398	—	71	1	no	—
734	#398	C₂×D₇₁	1	1	yes	characteristic
735	#398	C₂×D₇₁	1	1	yes	characteristic
736	#398	C₂×D₇₁	1	1	yes	characteristic
737	#398	C₂×D₇₁	1	1	yes	characteristic
738	#398	C₂×D₇₁	1	1	yes	characteristic
739	#398	C₂×D₇₁	1	1	yes	characteristic
740	#396	—	71	1	no	—
741	#396	—	71	1	no	—
742	#396	—	71	1	no	—
743	#396	—	71	1	no	—
744	#396	—	71	1	no	—
745	#396	—	71	1	no	—
746	#396	—	71	1	no	—
747	#396	—	71	1	no	—
748	#396	—	71	1	no	—
749	#396	—	71	1	no	—
750	#395	—	71	1	no	—
751	#395	—	71	1	no	—
752	#391	—	71	1	no	—
753	#391	—	71	1	no	—
754	#391	—	71	1	no	—
755	#390	—	71	1	no	—
756	#390	—	71	1	no	—
757	#389	—	71	1	no	—
758	#389	—	71	1	no	—
759	#389	—	71	1	no	—
760	#389	—	71	1	no	—
761	#389	—	71	1	no	—
762	#389	—	71	1	no	—
763	#389	—	71	1	no	—
764	#389	—	71	1	no	—
765	#389	—	71	1	no	—
766	#389	—	71	1	no	—
767	#389	—	71	1	no	—
768	#389	—	71	1	no	—
769	#389	—	71	1	no	—
770	#389	—	71	1	no	—
771	#389	—	71	1	no	—
772	#389	—	71	1	no	—
773	#389	C₂×D₇₁	1	1	yes	characteristic
774	#389	C₂×D₇₁	1	1	yes	characteristic
775	#389	C₂×D₇₁	1	1	yes	characteristic
776	#389	C₂×D₇₁	1	1	yes	characteristic
777	#389	C₂×D₇₁	1	1	yes	characteristic
778	#388	—	71	1	no	—
779	#388	—	71	1	no	—
780	#388	—	71	1	no	—
781	#388	—	71	1	no	—
782	#388	—	71	1	no	—
783	#388	—	71	1	no	—
784	#388	—	71	1	no	—
785	#388	—	71	1	no	—
786	#387	—	71	1	no	—
787	#387	—	71	1	no	—
788	#387	—	71	1	no	—
789	#387	—	71	1	no	—
790	#387	—	71	1	no	—
791	#387	—	71	1	no	—
792	#387	—	71	1	no	—
793	#387	—	71	1	no	—
794	#387	—	71	1	no	—
795	#387	—	71	1	no	—
796	#387	—	71	1	no	—
797	#387	—	71	1	no	—
798	#387	—	71	1	no	—
799	#387	—	71	1	no	—
800	#387	—	71	1	no	—
801	#387	—	71	1	no	—
802	#387	—	71	1	no	—
803	#387	—	71	1	no	—
804	#387	—	71	1	no	—
805	#387	—	71	1	no	—
806	#387	—	71	1	no	—
807	#387	—	71	1	no	—
808	#387	C₂×D₇₁	1	1	yes	characteristic
809	#387	C₂×D₇₁	1	1	yes	characteristic
810	#386	—	71	1	no	—
811	#386	—	71	1	no	—
812	#386	—	71	1	no	—
813	#386	—	71	1	no	—
814	#385	—	71	1	no	—
815	#385	—	71	1	no	—
816	#385	—	71	1	no	—
817	#385	—	71	1	no	—
818	#385	—	71	1	no	—
819	#385	—	71	1	no	—
820	#385	—	71	1	no	—
821	#385	—	71	1	no	—
822	#385	—	71	1	no	—
823	#385	—	71	1	no	—
824	#385	—	71	1	no	—
825	#385	—	71	1	no	—
826	#385	—	71	1	no	—
827	#385	—	71	1	no	—
828	#384	—	71	1	no	—
829	#384	—	71	1	no	—
830	#383	—	71	1	no	—
831	#382	—	71	1	no	—
832	#382	—	71	1	no	—
833	#382	—	71	1	no	—
834	#381	—	71	1	no	—
835	#381	—	71	1	no	—
836	#381	—	71	1	no	—
837	#380	—	71	1	no	—
838	#380	—	71	1	no	—
839	#380	—	71	1	no	—
840	#380	—	71	1	no	—
841	#380	—	71	1	no	—
842	#380	—	71	1	no	—
843	#380	—	71	1	no	—
844	C₄×C₄⋊C₄	—	71	1	no	—
845	C₄×C₄⋊C₄	—	71	1	no	—
846	C₄×C₂²⋊C₄	—	71	1	no	—
847	C₄×C₂²⋊C₄	—	71	1	no	—
848	C₄×C₂²⋊C₄	—	71	1	no	—
849	#376	—	71	1	no	—
850	#376	—	71	1	no	—
851	C₂×#95	—	71	1	no	—
852	C₂²×Q₈	—	71	1	no	—
853	C₂²×D₄	—	71	1	no	—
854	C₂³×C₄	—	71	1	no	—
855	C₂³×C₄	—	71	1	no	—
856	C₂³×C₄	—	71	1	no	—
857	C₂³×C₄	—	71	1	no	—
858	C₂³×C₄	—	71	1	no	—
859	C₂³×C₄	—	71	1	no	—
860	#125	—	4	2	no	—
861	#125	—	4	2	no	—
862	C₂²⋊Q₈	—	284	2	no	—
863	C₂²⋊Q₈	—	284	2	no	—
864	C₄×D₄	—	71	8	no	—
865	#117	—	284	2	no	—
866	C₂×C₄⋊C₄	—	71	1	no	—
867	C₂×C₄⋊C₄	—	71	1	no	—
868	C₂×C₄⋊C₄	—	71	1	no	—
869	C₂×C₄⋊C₄	—	71	1	no	—
870	C₂×C₄⋊C₄	—	71	1	no	—
871	C₂×C₄⋊C₄	—	71	1	no	—
872	C₂×C₄⋊C₄	—	71	1	no	—
873	C₂×C₄⋊C₄	—	71	1	no	—
874	C₂×C₄⋊C₄	—	71	1	no	—
875	C₂×C₄⋊C₄	—	71	1	no	—
876	C₂×C₄⋊C₄	—	71	1	no	—
877	C₂×C₄⋊C₄	—	71	1	no	—
878	C₂×C₄⋊C₄	—	71	1	no	—
879	C₂×C₄⋊C₄	—	71	1	no	—
880	C₂×C₄⋊C₄	—	71	1	no	—
881	C₂×C₄⋊C₄	—	71	1	no	—
882	C₂×C₄⋊C₄	—	71	1	no	—
883	C₂×C₄⋊C₄	—	71	1	no	—
884	C₂×C₄⋊C₄	—	71	1	no	—
885	C₂×C₄⋊C₄	—	71	1	no	—
886	C₂×C₄⋊C₄	—	71	1	no	—
887	C₂×C₄⋊C₄	—	71	1	no	—
888	C₂×C₄⋊C₄	—	71	1	no	—
889	C₂×C₄⋊C₄	—	71	1	no	—
890	C₂×C₄⋊C₄	—	71	1	no	—
891	C₂×C₄⋊C₄	—	71	1	no	—
892	C₂×C₄⋊C₄	—	71	1	no	—
893	C₂×C₄⋊C₄	—	71	1	no	—
894	C₂×C₄⋊C₄	—	71	1	no	—
895	C₂×C₄⋊C₄	—	71	1	no	—
896	C₂×C₄⋊C₄	—	71	1	no	—
897	C₂×C₄⋊C₄	—	71	1	no	—
898	C₂×C₄⋊C₄	—	71	1	no	—
899	C₂×C₄⋊C₄	—	71	1	no	—
900	C₂×C₄⋊C₄	—	71	1	no	—
901	C₂×C₄⋊C₄	—	71	1	no	—
902	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
906	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	—	71	1	no	—
923	C₂×C₂²⋊C₄	—	71	1	no	—
924	C₂×C₂²⋊C₄	—	71	1	no	—
925	C₂×C₂²⋊C₄	—	71	1	no	—
926	C₂×C₂²⋊C₄	—	71	1	no	—
927	C₂×C₂²⋊C₄	—	71	1	no	—
928	C₂×C₂²⋊C₄	—	71	1	no	—
929	C₂×C₂²⋊C₄	—	71	1	no	—
930	C₂×C₂²⋊C₄	—	71	1	no	—
931	C₂×C₂²⋊C₄	—	71	1	no	—
932	C₂×C₂²⋊C₄	—	71	1	no	—
933	C₂×C₂²⋊C₄	—	71	1	no	—
934	C₂×C₂²⋊C₄	—	71	1	no	—
935	C₂×C₂²⋊C₄	—	71	1	no	—
936	C₂×C₂²⋊C₄	—	71	1	no	—
937	C₂×C₂²⋊C₄	—	71	1	no	—
938	C₂×C₂²⋊C₄	—	71	1	no	—
939	C₂×C₂²⋊C₄	—	71	1	no	—
940	C₂×C₂²⋊C₄	—	71	1	no	—
941	C₂×C₂²⋊C₄	—	71	1	no	—
942	C₂×C₂²⋊C₄	—	71	1	no	—
943	C₂×C₂²⋊C₄	—	71	1	no	—
944	C₂×C₄²	—	284	2	no	—
945	C₂×C₄²	—	71	1	no	—
946	C₂×C₄²	—	71	1	no	—
947	C₂×C₄²	—	71	1	no	—
948	C₂×C₄²	—	71	1	no	—
949	C₂×C₄²	—	71	1	no	—
950	C₂×C₄²	—	71	1	no	—
951	C₂×C₄²	—	71	1	no	—
952	C₂×C₄²	—	71	1	no	—
953	C₂×C₄²	—	71	1	no	—
954	C₂×C₄²	—	71	1	no	—
955	C₂×C₄²	C₂²×D₇₁	1	1	yes	characteristic
956	C₂×C₄²	C₂²×D₇₁	1	1	yes	characteristic
957	C₂×C₄²	C₂²×D₇₁	1	1	yes	characteristic
958	#95	—	71	1	no	—
959	#95	—	71	1	no	—
960	#95	—	71	1	no	—
961	#95	—	71	1	no	—
962	#95	—	71	1	no	—
963	#95	—	71	1	no	—
964	#95	—	71	1	no	—
965	#95	—	71	1	no	—
966	#95	—	71	1	no	—
967	#95	—	71	1	no	—
968	#95	—	71	1	no	—
969	#95	—	71	1	no	—
970	#95	—	71	1	no	—
971	#95	—	71	1	no	—
972	#95	—	71	1	no	—
973	#95	—	71	1	no	—
974	#95	—	71	1	no	—
975	#95	—	71	1	no	—
976	#95	—	71	1	no	—
977	#95	—	71	1	no	—
978	#95	—	71	1	no	—
979	#95	—	71	1	no	—
980	#95	—	71	1	no	—
981	#95	—	71	1	no	—
982	#95	—	71	1	no	—
983	#95	—	71	1	no	—
984	#95	—	71	1	no	—
985	#95	—	71	1	no	—
986	#95	—	71	1	no	—
987	#95	—	71	1	no	—
988	#95	—	71	1	no	—
989	#95	—	71	1	no	—
990	#95	—	71	1	no	—
991	#95	—	71	1	no	—
992	#95	—	71	1	no	—
993	#95	—	71	1	no	—
994	#95	—	71	1	no	—
995	#95	—	71	1	no	—
996	#95	—	71	1	no	—
997	#95	—	71	1	no	—
998	#95	—	71	1	no	—
999	#95	—	71	1	no	—
1000	#95	—	71	1	no	—
1001	#95	—	71	1	no	—
1002	#95	C₂²×D₇₁	1	1	yes	characteristic
1003	#95	C₂²×D₇₁	1	1	yes	characteristic
1004	#95	C₂²×D₇₁	1	1	yes	characteristic
1005	#95	C₂²×D₇₁	1	1	yes	characteristic
1006	#95	C₂²×D₇₁	1	1	yes	characteristic
1007	#95	C₂²×D₇₁	1	1	yes	characteristic
1008	#95	C₂²×D₇₁	1	1	yes	characteristic
1009	#95	C₂²×D₇₁	1	1	yes	characteristic
1010	#95	C₂²×D₇₁	1	1	yes	characteristic
1011	#95	C₂²×D₇₁	1	1	yes	characteristic
1012	#95	C₂²×D₇₁	1	1	yes	characteristic
1013	#95	C₂²×D₇₁	1	1	yes	characteristic
1014	C₂⁴	—	71	1	no	—
1015	C₂⁴	—	71	1	no	—
1016	C₂×Q₈	—	284	1	no	—
1017	C₂×Q₈	—	284	1	no	—
1018	C₂×Q₈	—	142	2	no	—
1019	C₂×D₄	—	284	1	no	—
1020	C₂×D₄	—	284	1	no	—
1021	C₂×D₄	—	71	4	no	—
1022	C₂²×C₄	—	284	1	no	—
1023	C₂²×C₄	—	284	1	no	—
1024	C₂²×C₄	—	284	1	no	—
1025	C₂²×C₄	—	284	1	no	—
1026	C₂²×C₄	—	284	1	no	—
1027	C₂²×C₄	—	284	1	no	—
1028	C₂²×C₄	—	284	1	no	—
1029	C₂²×C₄	—	284	1	no	—
1030	C₂²×C₄	—	284	1	no	—
1031	C₂²×C₄	—	284	1	no	—
1032	C₂²×C₄	—	284	1	no	—
1033	C₂²×C₄	—	284	1	no	—
1034	C₂²×C₄	—	284	1	no	—
1035	C₂²×C₄	—	284	1	no	—
1036	C₂²×C₄	—	284	1	no	—
1037	C₂²×C₄	—	71	4	no	—
1038	C₂²×C₄	—	71	4	no	—
1039	C₂²×C₄	—	71	1	no	—
1040	C₂²×C₄	—	71	1	no	—
1041	C₂²×C₄	—	71	1	no	—
1042	C₂²×C₄	—	71	1	no	—
1043	C₂²×C₄	—	71	1	no	—
1044	C₂²×C₄	—	71	1	no	—
1045	C₂²×C₄	—	71	1	no	—
1046	C₂²×C₄	—	71	1	no	—
1047	C₂²×C₄	—	71	1	no	—
1048	C₂²×C₄	—	71	1	no	—
1049	C₂²×C₄	—	71	1	no	—
1050	C₂²×C₄	—	71	1	no	—
1051	C₂²×C₄	—	71	1	no	—
1052	C₂²×C₄	—	71	1	no	—
1053	C₂²×C₄	—	142	2	no	—
1054	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1055	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1065	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1067	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1068	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1069	C₄⋊C₄	—	2	2	no	—
1070	C₄⋊C₄	—	2	2	no	—
1071	C₄⋊C₄	—	2	2	no	—
1072	C₄⋊C₄	—	2	2	no	—
1073	C₄⋊C₄	—	4	1	no	—
1074	C₄⋊C₄	—	4	1	no	—
1075	C₄⋊C₄	—	4	1	no	—
1076	C₄⋊C₄	—	4	1	no	—
1077	C₄⋊C₄	—	4	1	no	—
1078	C₄⋊C₄	—	4	1	no	—
1079	C₄⋊C₄	—	4	1	no	—
1080	C₄⋊C₄	—	4	1	no	—
1081	C₄⋊C₄	—	4	1	no	—
1082	C₄⋊C₄	—	4	1	no	—
1083	C₄⋊C₄	—	4	1	no	—
1084	C₄⋊C₄	—	4	1	no	—
1085	C₄⋊C₄	—	4	1	no	—
1086	C₄⋊C₄	—	4	1	no	—
1087	C₄⋊C₄	—	4	1	no	—
1088	C₄⋊C₄	—	284	1	no	—
1089	C₄⋊C₄	—	284	1	no	—
1090	C₄⋊C₄	—	284	1	no	—
1091	C₄⋊C₄	—	284	1	no	—
1092	C₄⋊C₄	—	284	1	no	—
1093	C₄⋊C₄	—	284	1	no	—
1094	C₄⋊C₄	—	284	1	no	—
1095	C₄⋊C₄	—	284	1	no	—
1096	C₄⋊C₄	—	284	1	no	—
1097	C₄⋊C₄	—	284	1	no	—
1098	C₄⋊C₄	—	284	1	no	—
1099	C₄⋊C₄	—	284	1	no	—
1100	C₄⋊C₄	—	284	1	no	—
1101	C₄⋊C₄	—	284	1	no	—
1102	C₄⋊C₄	—	284	1	no	—
1103	C₄⋊C₄	—	284	1	no	—
1104	C₄⋊C₄	—	284	1	no	—
1105	C₄⋊C₄	—	284	1	no	—
1106	C₄⋊C₄	—	284	1	no	—
1107	C₄⋊C₄	—	284	1	no	—
1108	C₄⋊C₄	—	284	1	no	—
1109	C₄⋊C₄	—	284	1	no	—
1110	C₄⋊C₄	—	284	1	no	—
1111	C₄⋊C₄	—	284	1	no	—
1112	C₄⋊C₄	—	284	1	no	—
1113	C₄⋊C₄	—	284	1	no	—
1114	C₄⋊C₄	—	284	1	no	—
1115	C₄⋊C₄	—	284	1	no	—
1116	C₄⋊C₄	—	284	1	no	—
1117	C₄⋊C₄	—	284	1	no	—
1118	C₄⋊C₄	—	284	1	no	—
1119	C₄⋊C₄	—	284	1	no	—
1120	C₄⋊C₄	—	284	1	no	—
1121	C₄⋊C₄	—	284	1	no	—
1122	C₄⋊C₄	—	284	1	no	—
1123	C₄⋊C₄	—	284	1	no	—
1124	C₄⋊C₄	Q₈×D₇₁	1	4	yes	—
1125	C₂²⋊C₄	—	284	1	no	—
1126	C₂²⋊C₄	—	284	1	no	—
1127	C₂²⋊C₄	—	284	1	no	—
1128	C₂²⋊C₄	—	284	1	no	—
1129	C₂²⋊C₄	—	284	1	no	—
1130	C₂²⋊C₄	—	284	1	no	—
1131	C₂²⋊C₄	—	284	1	no	—
1132	C₂²⋊C₄	—	284	1	no	—
1133	C₂²⋊C₄	—	284	1	no	—
1134	C₂²⋊C₄	—	284	1	no	—
1135	C₂²⋊C₄	—	284	1	no	—
1136	C₂²⋊C₄	—	284	1	no	—
1137	C₂²⋊C₄	—	284	1	no	—
1138	C₂²⋊C₄	—	284	1	no	—
1139	C₂²⋊C₄	—	284	1	no	—
1140	C₂²⋊C₄	—	284	1	no	—
1141	C₂²⋊C₄	—	284	1	no	—
1142	C₂²⋊C₄	—	284	1	no	—
1143	C₂²⋊C₄	—	284	1	no	—
1144	C₂²⋊C₄	—	71	4	no	—
1145	C₂²⋊C₄	—	71	4	no	—
1146	C₂²⋊C₄	—	142	2	no	—
1147	C₄²	—	2	2	no	—
1148	C₄²	—	4	1	no	—
1149	C₄²	—	4	1	no	—
1150	C₄²	—	284	1	no	—
1151	C₄²	—	284	1	no	—
1152	C₄²	—	284	1	no	—
1153	C₄²	—	284	1	no	—
1154	C₄²	—	284	1	no	—
1155	C₄²	—	284	1	no	—
1156	C₄²	—	284	1	no	—
1157	C₄²	—	284	1	no	—
1158	C₄²	—	71	4	no	—
1159	C₄²	—	142	2	no	—
1160	C₂³	—	71	2	no	—
1161	C₂³	—	71	2	no	—
1162	C₂³	—	142	1	no	—
1163	C₂³	—	142	1	no	—
1164	C₂³	—	142	1	no	—
1165	C₂³	—	142	1	no	—
1166	C₂³	—	142	1	no	—
1167	C₂³	—	142	1	no	—
1168	C₂³	—	142	1	no	—
1169	C₂³	—	142	1	no	—
1170	C₂³	—	142	1	no	—
1171	C₂³	—	142	1	no	—
1172	C₂³	—	142	1	no	—
1173	C₂³	—	142	1	no	—
1174	C₂³	C₂⁴×D₇₁	1	1	yes	characteristic
1175	Q₈	—	568	2	no	—
1176	D₄	—	284	4	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	284	4	no	—
1219	C₂×C₄	—	284	4	no	—
1220	C₂×C₄	—	284	4	no	—
1221	C₂×C₄	—	284	4	no	—
1222	C₂×C₄	—	568	2	no	—
1223	C₂×C₄	—	568	2	no	—
1224	C₂×C₄	—	71	2	no	—
1225	C₂×C₄	—	71	2	no	—
1226	C₂×C₄	—	142	1	no	—
1227	C₂×C₄	—	142	1	no	—
1228	C₂×C₄	—	142	1	no	—
1229	C₂×C₄	—	142	1	no	—
1230	C₂×C₄	—	142	1	no	—
1231	C₂×C₄	—	142	1	no	—
1232	C₂×C₄	—	142	1	no	—
1233	C₂×C₄	—	142	1	no	—
1234	C₂×C₄	—	142	1	no	—
1235	C₂×C₄	—	142	1	no	—
1236	C₂×C₄	—	142	1	no	—
1237	C₂×C₄	—	142	1	no	—
1238	C₂×C₄	—	142	1	no	—
1239	C₂×C₄	—	142	1	no	—
1240	C₂×C₄	—	142	1	no	—
1241	C₂×C₄	—	142	1	no	—
1242	C₂×C₄	—	142	1	no	—
1243	C₂×C₄	—	142	1	no	—
1244	C₂×C₄	—	142	1	no	—
1245	C₂×C₄	—	142	1	no	—
1246	C₂×C₄	—	142	1	no	—
1247	C₂×C₄	—	142	1	no	—
1248	C₂×C₄	—	142	1	no	—
1249	C₂×C₄	—	142	1	no	—
1250	C₂×C₄	—	142	1	no	—
1251	C₂×C₄	—	142	1	no	—
1252	C₂×C₄	—	142	1	no	—
1253	C₂×C₄	—	142	1	no	—
1254	C₂×C₄	—	142	1	no	—
1255	C₂×C₄	—	142	1	no	—
1256	C₂×C₄	—	142	1	no	—
1257	C₂×C₄	—	142	1	no	—
1258	C₂×C₄	—	142	1	no	—
1259	C₂×C₄	—	142	1	no	—
1260	C₂×C₄	—	142	1	no	—
1261	C₂×C₄	—	142	1	no	—
1262	C₂×C₄	—	142	1	no	—
1263	C₂×C₄	—	142	1	no	—
1264	C₂×C₄	—	142	1	no	—
1265	C₂×C₄	—	142	1	no	—
1266	C₂×C₄	C₂×Q₈×D₇₁	1	2	yes	—
1267	C₂×C₄	C₂×Q₈×D₇₁	1	2	yes	—
1268	C₂×C₄	C₂×Q₈×D₇₁	1	2	yes	—
1269	C₂×C₄	#14556173	1	2	yes	—
1270	C₂²	—	284	1	no	—
1271	C₂²	—	284	1	no	—
1272	C₂²	—	284	1	no	—
1273	C₂²	—	284	1	no	—
1274	C₂²	—	284	1	no	—
1275	C₂²	—	284	1	no	—
1276	C₂²	—	284	1	no	—
1277	C₂²	—	284	1	no	—
1278	C₂²	—	142	2	no	—
1279	C₂²	—	142	2	no	—
1280	C₂²	—	142	2	no	—
1281	C₂²	—	142	2	no	—
1282	C₂²	—	142	2	no	—
1283	C₂²	—	142	2	no	—
1284	C₂²	C₂²×Q₈×D₇₁	1	1	yes	characteristic
1285	C₂²	C₂×#14556173	1	1	yes	characteristic
1286	C₂²	#17986834	1	1	yes	characteristic
1287	C₂²	#17986835	1	1	yes	characteristic
1288	C₂²	#17986836	1	1	yes	characteristic
1289	C₂²	#17986836	1	1	yes	characteristic
1290	C₂²	#17986836	1	1	yes	characteristic
1291	C₄	—	2	2	no	—
1292	C₄	—	2	2	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	2	2	no	—
1295	C₄	—	4	1	no	—
1296	C₄	—	4	1	no	—
1297	C₄	—	4	1	no	—
1298	C₄	—	4	1	no	—
1299	C₄	—	4	1	no	—
1300	C₄	—	4	1	no	—
1301	C₄	—	4	1	no	—
1302	C₄	—	4	1	no	—
1303	C₄	—	4	1	no	—
1304	C₄	—	4	1	no	—
1305	C₄	—	4	1	no	—
1306	C₄	—	284	1	no	—
1307	C₄	—	284	1	no	—
1308	C₄	—	284	1	no	—
1309	C₄	—	284	1	no	—
1310	C₄	—	284	1	no	—
1311	C₄	—	284	1	no	—
1312	C₄	—	284	1	no	—
1313	C₄	—	284	1	no	—
1314	C₄	—	284	1	no	—
1315	C₄	—	284	1	no	—
1316	C₄	—	284	1	no	—
1317	C₄	—	284	1	no	—
1318	C₄	—	142	2	no	—
1319	C₄	—	142	2	no	—
1320	C₂	—	284	2	no	—
1321	C₂	—	284	2	no	—
1322	C₂	#22601744	1	1	yes	characteristic
1323	C₂	#22602135	1	1	yes	characteristic
1324	C₂	#22602165	1	1	yes	characteristic
1325	C₂	#22602510	1	1	yes	characteristic
1326	C₂	#22602593	1	1	yes	characteristic
1327	C₂	#22602999	1	1	yes	characteristic
1328	C₂	#22603030	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₁
commutator, socle, cosocle	C₂³×C₇₁	C₂⁵
Fitting	C₇₁×#2726	C₂
prime radical	C₂²×D₂₈₄	C₂³
hypercenter	#2726	D₇₁
hypocenter	C₇₁	#36756
LCS	G ▷ C₂³×C₇₁ ▷ C₇₁
UCS	C₁ ◁ C₂³ ◁ #2726

Complements

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

N	H ≅ G/N	type
1. #22596678	C₂	semidirect
2. #22596645	C₂	semidirect
3. #22596308	C₂	semidirect
4. #22596262	C₂	semidirect
5. #22596120	C₂	semidirect
6. #22596116	C₂	semidirect
7. #22596109	C₂	semidirect
10. #22595826	C₂	semidirect
11. #22595820	C₂	semidirect
12. #22595819	C₂	semidirect
13. #22595651	C₂	semidirect
16. #22595216	C₂	semidirect
17. #22594992	C₂	semidirect
18. #22594541	C₂	semidirect
19. #22594539	C₂	semidirect
20. #22594046	C₂	semidirect
21. #22594008	C₂	semidirect
22. #22593994	C₂	semidirect
23. #22593991	C₂	semidirect
24. #22593569	C₂	semidirect
25. #22593558	C₂	semidirect
26. #22592049	C₂	semidirect
27. #22592011	C₂	semidirect
31. C₇₁×#2726	C₂	semidirect
197. #14556090	Q₈	semidirect
680. #2726	D₇₁	semidirect
696. C₇₁	#36756	semidirect

Maximal subgroups

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

subgroup	index
#22596678	2
#22596645	2
#22596308	2
#22596262	2
#22596120	2
#22596116	2
#22596109	2
#22595982	2
#22595826	2
#22595820	2
#22595819	2
#22595651	2
#22595552	2
#22595361	2
#22595216	2
#22594992	2
#22594541	2
#22594539	2
#22594046	2
#22594008	2
#22593994	2
#22593991	2
#22593569	2
#22593558	2
#22592049	2
#22592011	2
#22590979	2
#22590972	2
#22590778	2
C₇₁×#2726	2
#36756	71