Subgroups — #14216765

Order 1792.

1674 conjugacy classes of subgroups.

The subgroup lattice has 1374 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2527	C₂	1	1	yes	maximal, characteristic, complemented
2	#11735869	C₂	1	1	yes	maximal, characteristic, complemented
3	#11735855	C₂	1	1	yes	maximal, characteristic, complemented
4	#11735738	C₂	1	1	yes	maximal, characteristic, complemented
5	#11735605	C₂	1	1	yes	maximal, characteristic, complemented
6	#11735080	C₂	1	1	yes	maximal, characteristic, complemented
7	#11734925	C₂	1	1	yes	maximal, characteristic
8	#11734326	C₂	1	1	yes	maximal, characteristic
9	#11734246	C₂	1	1	yes	maximal, characteristic, complemented
10	#11734081	C₂	1	1	yes	maximal, characteristic, complemented
11	#11733991	C₂	1	1	yes	maximal, characteristic, complemented
12	#11733991	C₂	1	1	yes	maximal, characteristic, complemented
13	#11733975	C₂	1	1	yes	maximal, characteristic, complemented
14	#11733278	C₂	1	1	yes	maximal, characteristic
15	#11732993	C₂	1	1	yes	maximal, characteristic, complemented
16	#11732984	C₂	1	1	yes	maximal, characteristic
17	#11732931	C₂	1	1	yes	maximal, characteristic, complemented
18	#11732788	C₂	1	1	yes	maximal, characteristic, complemented
19	#11732467	C₂	1	1	yes	maximal, characteristic, complemented
20	#11732461	C₂	1	1	yes	maximal, characteristic, complemented
21	#11732460	C₂	1	1	yes	maximal, characteristic, complemented
22	#11732418	C₂	1	1	yes	maximal, characteristic, complemented
23	#11732384	C₂	1	1	yes	maximal, characteristic, complemented
24	#11731897	C₂	1	1	yes	maximal, characteristic
25	#11731894	C₂	1	1	yes	maximal, characteristic, complemented
26	#11731567	C₂	1	1	yes	maximal, characteristic
27	#11731525	C₂	1	1	yes	maximal, characteristic, complemented
28	#11731019	C₂	1	1	yes	maximal, characteristic
29	#11730885	C₂	1	1	yes	maximal, characteristic, complemented
30	#11730841	C₂	1	1	yes	maximal, characteristic, complemented
31	#11730830	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
33	C₂×#6489	C₂²	1	1	yes	characteristic
34	C₂×#6461	C₂²	1	1	yes	characteristic
35	C₂×#6455	C₂²	1	1	yes	characteristic
36	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
37	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
38	C₂×#6442	C₂²	1	1	yes	characteristic
39	C₂×#6439	C₂²	1	1	yes	characteristic
40	C₂×#6435	C₂²	1	1	yes	characteristic
41	C₇×#401	C₂²	1	1	yes	characteristic, complemented
42	C₇×#400	C₂²	1	1	yes	characteristic, complemented
43	C₇×#397	C₂²	1	1	yes	characteristic
44	C₇×#393	C₂²	1	1	yes	characteristic
45	C₇×#391	C₂²	1	1	yes	characteristic, complemented
46	C₇×#391	C₂²	1	1	yes	characteristic, complemented
47	C₇×#388	C₂²	1	1	yes	characteristic
48	C₇×#388	C₂²	1	1	yes	characteristic
49	C₇×#387	C₂²	1	1	yes	characteristic, complemented
50	C₇×#387	C₂²	1	1	yes	characteristic, complemented
51	C₇×#387	C₂²	1	1	yes	characteristic, complemented
52	C₇×#385	C₂²	1	1	yes	characteristic
53	C₇×#381	C₂²	1	1	yes	characteristic
54	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
55	C₇×#376	C₂²	1	1	yes	characteristic, complemented
56	#90003	C₂²	1	1	yes	characteristic
57	#90003	C₂²	1	1	yes	characteristic
58	#90002	C₂²	1	1	yes	characteristic, complemented
59	#90001	C₂²	1	1	yes	characteristic, complemented
60	#89982	C₂²	1	1	yes	characteristic
61	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
62	#89766	C₂²	1	1	yes	characteristic
63	#89766	C₂²	1	1	yes	characteristic
64	#89765	C₂²	1	1	yes	characteristic
65	#89765	C₂²	1	1	yes	characteristic
66	#89762	C₂²	1	1	yes	characteristic
67	#89761	C₂²	1	1	yes	characteristic
68	#89761	C₂²	1	1	yes	characteristic
69	#89761	C₂²	1	1	yes	characteristic
70	#89758	C₂²	1	1	yes	characteristic, complemented
71	#89756	C₂²	1	1	yes	characteristic, complemented
72	#89756	C₂²	1	1	yes	characteristic, complemented
73	#89753	C₂²	1	1	yes	characteristic, complemented
74	#89753	C₂²	1	1	yes	characteristic, complemented
75	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
76	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
77	#89744	C₂²	1	1	yes	characteristic, complemented
78	#89744	C₂²	1	1	yes	characteristic, complemented
79	#89744	C₂²	1	1	yes	characteristic, complemented
80	#89727	C₂²	1	1	yes	characteristic
81	#89727	C₂²	1	1	yes	characteristic
82	#89727	C₂²	1	1	yes	characteristic
83	#89727	C₂²	1	1	yes	characteristic
84	#89725	C₂²	1	1	yes	characteristic
85	#89724	C₂²	1	1	yes	characteristic
86	#89724	C₂²	1	1	yes	characteristic
87	#89723	C₂²	1	1	yes	characteristic
88	#89722	C₂²	1	1	yes	characteristic
89	#89720	C₂²	1	1	yes	characteristic
90	#89718	C₂²	1	1	yes	characteristic
91	#89717	C₂²	1	1	yes	characteristic
92	#89717	C₂²	1	1	yes	characteristic
93	#89717	C₂²	1	1	yes	characteristic
94	#89717	C₂²	1	1	yes	characteristic
95	#89716	C₂²	1	1	yes	characteristic
96	#89716	C₂²	1	1	yes	characteristic
97	#89714	C₂²	1	1	yes	characteristic
98	#89714	C₂²	1	1	yes	characteristic
99	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
100	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
101	#89712	C₂²	1	1	yes	characteristic
102	#89712	C₂²	1	1	yes	characteristic
103	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
104	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
105	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
106	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
107	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
108	#89705	C₂²	1	1	yes	characteristic, complemented
109	#89704	C₂²	1	1	yes	characteristic, complemented
110	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
111	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
112	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
113	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
114	C₄²×Dic₇	C₂²	1	1	yes	characteristic, complemented
115	#89447	C₂²	1	1	yes	characteristic
116	#89447	C₂²	1	1	yes	characteristic
117	#89447	C₂²	1	1	yes	characteristic
118	#89447	C₂²	1	1	yes	characteristic
119	#89446	C₂²	1	1	yes	characteristic
120	#89446	C₂²	1	1	yes	characteristic
121	#89442	C₂²	1	1	yes	characteristic
122	#89442	C₂²	1	1	yes	characteristic
123	#89442	C₂²	1	1	yes	characteristic
124	#89442	C₂²	1	1	yes	characteristic
125	#89442	C₂²	1	1	yes	characteristic
126	#89441	C₂²	1	1	yes	characteristic
127	#89441	C₂²	1	1	yes	characteristic
128	#89441	C₂²	1	1	yes	characteristic
129	#89441	C₂²	1	1	yes	characteristic
130	#89441	C₂²	1	1	yes	characteristic
131	#89441	C₂²	1	1	yes	characteristic
132	#89441	C₂²	1	1	yes	characteristic
133	#89441	C₂²	1	1	yes	characteristic
134	#89441	C₂²	1	1	yes	characteristic
135	#89441	C₂²	1	1	yes	characteristic
136	#89440	C₂²	1	1	yes	characteristic
137	#89440	C₂²	1	1	yes	characteristic
138	#89440	C₂²	1	1	yes	characteristic
139	#89440	C₂²	1	1	yes	characteristic
140	#89440	C₂²	1	1	yes	characteristic
141	#89439	C₂²	1	1	yes	characteristic
142	#89439	C₂²	1	1	yes	characteristic
143	#89439	C₂²	1	1	yes	characteristic
144	#89439	C₂²	1	1	yes	characteristic
145	#89438	C₂²	1	1	yes	characteristic
146	#89438	C₂²	1	1	yes	characteristic
147	#89438	C₂²	1	1	yes	characteristic
148	#89438	C₂²	1	1	yes	characteristic
149	#89436	C₂²	1	1	yes	characteristic
150	#89436	C₂²	1	1	yes	characteristic
151	C₇⋊#401	C₂²	1	1	yes	characteristic, complemented
152	C₇⋊#401	C₂²	1	1	yes	characteristic, complemented
153	C₇⋊#401	C₂²	1	1	yes	characteristic, complemented
154	#89433	C₂²	1	1	yes	characteristic, complemented
155	#89432	C₂²	1	1	yes	characteristic, complemented
156	#89429	C₂²	1	1	yes	characteristic, complemented
157	#89429	C₂²	1	1	yes	characteristic, complemented
158	#89429	C₂²	1	1	yes	characteristic, complemented
159	#89427	C₂²	1	1	yes	characteristic, complemented
160	#89427	C₂²	1	1	yes	characteristic, complemented
161	#89427	C₂²	1	1	yes	characteristic, complemented
162	#89426	C₂²	1	1	yes	characteristic, complemented
163	#89426	C₂²	1	1	yes	characteristic, complemented
164	#89426	C₂²	1	1	yes	characteristic, complemented
165	#89425	C₂²	1	1	yes	characteristic, complemented
166	#89425	C₂²	1	1	yes	characteristic, complemented
167	#89425	C₂²	1	1	yes	characteristic, complemented
168	#89425	C₂²	1	1	yes	characteristic, complemented
169	#89425	C₂²	1	1	yes	characteristic, complemented
170	#89425	C₂²	1	1	yes	characteristic, complemented
171	#89424	C₂²	1	1	yes	characteristic, complemented
172	#89424	C₂²	1	1	yes	characteristic, complemented
173	#89424	C₂²	1	1	yes	characteristic, complemented
174	#89424	C₂²	1	1	yes	characteristic, complemented
175	#89424	C₂²	1	1	yes	characteristic, complemented
176	#89424	C₂²	1	1	yes	characteristic, complemented
177	#89423	C₂²	1	1	yes	characteristic, complemented
178	#89422	C₂²	1	1	yes	characteristic, complemented
179	#89422	C₂²	1	1	yes	characteristic, complemented
180	#89422	C₂²	1	1	yes	characteristic, complemented
181	#89421	C₂²	1	1	yes	characteristic, complemented
182	#89421	C₂²	1	1	yes	characteristic, complemented
183	#89420	C₂²	1	1	yes	characteristic, complemented
184	#89419	C₂²	1	1	yes	characteristic, complemented
185	#89419	C₂²	1	1	yes	characteristic, complemented
186	#89419	C₂²	1	1	yes	characteristic, complemented
187	#60027	—	7	1	no	maximal, Sylow
188	C₂⁴×D₇	C₂³	1	1	yes	characteristic
189	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
191	C₂³×Dic₇	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
196	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
217	C₂×(C₂×D₇)⋊C₄	—	2	4	no	—
218	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
242	#6489	—	2	4	no	—
243	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
251	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
287	#6461	—	2	4	no	—
288	#6455	—	2	4	no	—
289	D₇×C₂²⋊C₄	—	2	4	no	—
290	D₇×C₂²⋊C₄	—	2	4	no	—
291	#6442	—	2	4	no	—
292	#6439	—	2	4	no	—
293	#6435	—	2	4	no	—
294	C₇×#95	C₂³	1	1	yes	characteristic
295	C₇×#95	C₂³	1	1	yes	characteristic
296	C₇×#95	C₂³	1	1	yes	characteristic
297	C₇×#95	C₂³	1	1	yes	characteristic
298	C₇×#95	C₂³	1	1	yes	characteristic
299	C₇×#95	C₂³	1	1	yes	characteristic
300	C₇×#95	C₂³	1	1	yes	characteristic
301	C₇×#95	C₂³	1	1	yes	characteristic
302	C₇×#95	C₂³	1	1	yes	characteristic
303	C₇×#95	C₂³	1	1	yes	characteristic
304	C₇×#95	C₂³	1	1	yes	characteristic
305	C₇×#95	C₂³	1	1	yes	characteristic
306	C₇×#95	C₂³	1	1	yes	characteristic
307	C₇×#95	C₂³	1	1	yes	characteristic
308	C₇×#95	C₂³	1	1	yes	characteristic
309	C₇×#95	C₂³	1	1	yes	characteristic
310	C₇×#95	C₂³	1	1	yes	characteristic
311	C₇×#95	C₂³	1	1	yes	characteristic
312	C₇⋊#95	C₂³	1	1	yes	characteristic
313	C₇⋊#95	C₂³	1	1	yes	characteristic
314	C₇⋊#95	C₂³	1	1	yes	characteristic
315	C₇⋊#95	C₂³	1	1	yes	characteristic
316	C₇⋊#95	C₂³	1	1	yes	characteristic
317	C₇⋊#95	C₂³	1	1	yes	characteristic
318	C₇⋊#95	C₂³	1	1	yes	characteristic
319	C₇⋊#95	C₂³	1	1	yes	characteristic
320	C₇⋊#95	C₂³	1	1	yes	characteristic
321	C₇⋊#95	C₂³	1	1	yes	characteristic
322	C₇⋊#95	C₂³	1	1	yes	characteristic
323	C₇⋊#95	C₂³	1	1	yes	characteristic
324	C₇⋊#95	C₂³	1	1	yes	characteristic
325	C₇⋊#95	C₂³	1	1	yes	characteristic
326	C₇⋊#95	C₂³	1	1	yes	characteristic
327	C₇⋊#95	C₂³	1	1	yes	characteristic
328	C₇⋊#95	C₂³	1	1	yes	characteristic
329	C₇⋊#95	C₂³	1	1	yes	characteristic
330	C₇⋊#95	C₂³	1	1	yes	characteristic
331	C₇⋊#95	C₂³	1	1	yes	characteristic
332	C₇⋊#95	C₂³	1	1	yes	characteristic
333	C₇⋊#95	C₂³	1	1	yes	characteristic
334	C₇⋊#95	C₂³	1	1	yes	characteristic
335	C₇⋊#95	C₂³	1	1	yes	characteristic
336	C₇⋊#95	C₂³	1	1	yes	characteristic
337	C₇⋊#95	C₂³	1	1	yes	characteristic
338	C₇⋊#95	C₂³	1	1	yes	characteristic
339	C₇⋊#95	C₂³	1	1	yes	characteristic
340	C₇⋊#95	C₂³	1	1	yes	characteristic
341	C₇⋊#95	C₂³	1	1	yes	characteristic
342	C₇⋊#95	C₂³	1	1	yes	characteristic
343	C₇⋊#95	C₂³	1	1	yes	characteristic
344	C₇⋊#95	C₂³	1	1	yes	characteristic
345	C₇⋊#95	C₂³	1	1	yes	characteristic
346	C₇⋊#95	C₂³	1	1	yes	characteristic
347	C₇⋊#95	C₂³	1	1	yes	characteristic
348	C₇⋊#95	C₂³	1	1	yes	characteristic
349	C₇⋊#95	C₂³	1	1	yes	characteristic
350	C₇⋊#95	C₂³	1	1	yes	characteristic
351	C₇⋊#95	C₂³	1	1	yes	characteristic
352	#2787	—	7	1	no	—
353	#2787	—	7	1	no	—
354	#2787	—	7	1	no	—
355	#2736	—	7	1	no	—
356	#2574	—	7	1	no	—
357	#2574	—	7	1	no	—
358	#2574	—	7	1	no	—
359	#2527	—	7	1	no	—
360	#2527	—	7	1	no	—
361	#2527	D₇	1	1	yes	characteristic, complemented
362	#2515	—	7	1	no	—
363	#2515	—	7	1	no	—
364	#2515	—	7	1	no	—
365	#2494	—	7	1	no	—
366	#2494	—	7	1	no	—
367	#2494	—	7	1	no	—
368	#2480	—	7	1	no	—
369	#2480	—	7	1	no	—
370	#2480	—	7	1	no	—
371	#2478	—	7	1	no	—
372	#2478	—	7	1	no	—
373	#2478	—	7	1	no	—
374	#2373	—	7	1	no	—
375	#2373	—	7	1	no	—
376	#2373	—	7	1	no	—
377	#2342	—	7	1	no	—
378	#2342	—	7	1	no	—
379	#2342	—	7	1	no	—
380	#2298	—	7	1	no	—
381	#2298	—	7	1	no	—
382	#2298	—	7	1	no	—
383	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
384	C₂³×D₇	—	2	2	no	—
385	C₂³×D₇	—	2	2	no	—
386	C₂³×D₇	—	2	2	no	—
387	C₂³×D₇	—	4	1	no	—
388	C₂³×D₇	—	4	1	no	—
389	C₂³×D₇	—	4	1	no	—
390	C₂³×D₇	—	4	1	no	—
391	C₂³×D₇	C₂⁴	1	1	yes	characteristic
392	C₂³×D₇	C₂⁴	1	1	yes	characteristic
393	C₂×C₇×Q₈	—	4	1	no	—
394	C₂×C₇×Q₈	—	4	1	no	—
395	C₂×C₇×Q₈	—	4	1	no	—
396	C₂²×C₄×C₇	—	2	2	no	—
397	C₂²×C₄×C₇	—	2	2	no	—
398	C₂²×C₄×C₇	—	4	1	no	—
399	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₇	—	2	2	no	—
414	C₂²×Dic₇	—	4	1	no	—
415	C₂²×Dic₇	—	4	1	no	—
416	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
430	C₂×C₄×D₇	—	2	2	no	—
431	C₂×C₄×D₇	—	2	2	no	—
432	C₂×C₄×D₇	—	2	2	no	—
433	C₂×C₄×D₇	—	2	2	no	—
434	C₂×C₄×D₇	—	2	2	no	—
435	C₂×C₄×D₇	—	2	2	no	—
436	C₂×C₄×D₇	—	4	1	no	—
437	C₂×C₄×D₇	—	4	1	no	—
438	C₂×C₄×D₇	—	4	1	no	—
439	C₂×C₄×D₇	—	4	1	no	—
440	C₂×C₄×D₇	—	4	1	no	—
441	C₂×C₄×D₇	—	4	1	no	—
442	C₇×C₄⋊C₄	—	2	2	no	—
443	C₇×C₄⋊C₄	—	2	2	no	—
444	C₇×C₄⋊C₄	—	4	1	no	—
445	C₇×C₄⋊C₄	—	4	1	no	—
446	C₇×C₄⋊C₄	—	4	1	no	—
447	C₇×C₂²⋊C₄	—	2	2	no	—
448	C₇×C₂²⋊C₄	—	2	2	no	—
449	C₇×C₂²⋊C₄	—	2	2	no	—
450	C₇×C₂²⋊C₄	—	4	1	no	—
451	C₇×C₂²⋊C₄	—	4	1	no	—
452	C₇×C₂²⋊C₄	—	4	1	no	—
453	C₄²×C₇	—	2	2	no	—
454	C₄²×C₇	—	2	2	no	—
455	C₄²×C₇	—	4	1	no	—
456	C₄²×C₇	—	4	1	no	—
457	C₂²⋊Dic₇	—	2	2	no	—
458	C₂²⋊Dic₇	—	2	2	no	—
459	C₂²⋊Dic₇	—	2	2	no	—
460	C₂²⋊Dic₇	—	4	1	no	—
461	C₂²⋊Dic₇	—	4	1	no	—
462	C₂²⋊Dic₇	#41	1	4	yes	—
463	(C₂×D₇)⋊C₄	—	2	2	no	—
464	(C₂×D₇)⋊C₄	—	2	2	no	—
465	(C₂×D₇)⋊C₄	—	2	2	no	—
466	(C₂×D₇)⋊C₄	—	2	2	no	—
467	(C₂×D₇)⋊C₄	—	2	2	no	—
468	(C₂×D₇)⋊C₄	—	2	2	no	—
469	(C₂×D₇)⋊C₄	—	2	2	no	—
470	(C₂×D₇)⋊C₄	—	2	2	no	—
471	(C₂×D₇)⋊C₄	—	2	2	no	—
472	(C₂×D₇)⋊C₄	—	2	2	no	—
473	(C₂×D₇)⋊C₄	—	2	2	no	—
474	(C₂×D₇)⋊C₄	—	2	2	no	—
475	(C₂×D₇)⋊C₄	—	4	1	no	—
476	(C₂×D₇)⋊C₄	—	4	1	no	—
477	(C₂×D₇)⋊C₄	—	4	1	no	—
478	(C₂×D₇)⋊C₄	—	4	1	no	—
479	(C₂×D₇)⋊C₄	—	4	1	no	—
480	(C₂×D₇)⋊C₄	—	4	1	no	—
481	(C₂×D₇)⋊C₄	—	4	1	no	—
482	(C₂×D₇)⋊C₄	—	4	1	no	—
483	(C₂×D₇)⋊C₄	—	4	1	no	—
484	(C₂×D₇)⋊C₄	—	4	1	no	—
485	(C₂×D₇)⋊C₄	#41	1	4	yes	—
486	(C₂×D₇)⋊C₄	#41	1	4	yes	—
487	C₄⋊Dic₇	—	2	2	no	—
488	C₄⋊Dic₇	—	2	2	no	—
489	C₄⋊Dic₇	—	2	2	no	—
490	C₄⋊Dic₇	—	2	2	no	—
491	C₄⋊Dic₇	—	2	2	no	—
492	C₄⋊Dic₇	—	4	1	no	—
493	C₄⋊Dic₇	—	4	1	no	—
494	C₄⋊Dic₇	—	4	1	no	—
495	Dic₇⋊C₄	—	2	2	no	—
496	Dic₇⋊C₄	—	2	2	no	—
497	Dic₇⋊C₄	—	2	2	no	—
498	Dic₇⋊C₄	—	2	2	no	—
499	Dic₇⋊C₄	—	2	2	no	—
500	Dic₇⋊C₄	—	2	2	no	—
501	Dic₇⋊C₄	—	2	2	no	—
502	Dic₇⋊C₄	—	2	2	no	—
503	Dic₇⋊C₄	—	4	1	no	—
504	Dic₇⋊C₄	—	4	1	no	—
505	Dic₇⋊C₄	—	4	1	no	—
506	Dic₇⋊C₄	—	4	1	no	—
507	Dic₇⋊C₄	—	4	1	no	—
508	Dic₇⋊C₄	—	4	1	no	—
509	Dic₇⋊C₄	—	4	1	no	—
510	Dic₇⋊C₄	—	4	1	no	—
511	Dic₇⋊C₄	—	4	1	no	—
512	Dic₇⋊C₄	—	4	1	no	—
513	Dic₇⋊C₄	—	4	1	no	—
514	Dic₇⋊C₄	—	4	1	no	—
515	C₄×Dic₇	—	2	2	no	—
516	C₄×Dic₇	—	2	2	no	—
517	C₄×Dic₇	—	2	2	no	—
518	C₄×Dic₇	—	2	2	no	—
519	C₄×Dic₇	—	2	2	no	—
520	C₄×Dic₇	—	2	2	no	—
521	C₄×Dic₇	—	2	2	no	—
522	C₄×Dic₇	—	4	1	no	—
523	C₄×Dic₇	—	4	1	no	—
524	C₄×Dic₇	—	4	1	no	—
525	C₄×Dic₇	—	4	1	no	—
526	C₄×Dic₇	—	4	1	no	—
527	C₄×Dic₇	—	4	1	no	—
528	C₄×Dic₇	—	4	1	no	—
529	C₄×Dic₇	—	4	1	no	—
530	C₄×Dic₇	—	4	1	no	—
531	C₂×#126	—	7	1	no	—
532	C₂×#126	—	7	1	no	—
533	C₂×#126	—	7	1	no	—
534	C₂×#117	—	7	1	no	—
535	C₂×#117	—	7	1	no	—
536	C₂×#117	—	7	1	no	—
537	C₂²×C₂²⋊C₄	—	7	1	no	—
538	C₂²×C₂²⋊C₄	—	7	1	no	—
539	C₂²×C₂²⋊C₄	—	7	1	no	—
540	#401	—	7	1	no	—
541	#401	—	7	1	no	—
542	#401	—	7	1	no	—
543	#401	C₂×D₇	1	1	yes	characteristic, complemented
544	#400	—	7	1	no	—
545	#400	—	7	1	no	—
546	#400	C₂×D₇	1	1	yes	characteristic, complemented
547	#398	—	7	1	no	—
548	#398	—	7	1	no	—
549	#398	—	7	1	no	—
550	#398	—	7	1	no	—
551	#398	—	7	1	no	—
552	#398	—	7	1	no	—
553	#397	—	7	1	no	—
554	#397	—	7	1	no	—
555	#397	—	7	1	no	—
556	#397	—	7	1	no	—
557	#397	—	7	1	no	—
558	#397	—	7	1	no	—
559	#397	—	7	1	no	—
560	#397	—	7	1	no	—
561	#397	—	7	1	no	—
562	#397	—	7	1	no	—
563	#397	—	7	1	no	—
564	#397	C₂×D₇	1	1	yes	characteristic
565	#396	—	7	1	no	—
566	#396	—	7	1	no	—
567	#396	—	7	1	no	—
568	#395	—	7	1	no	—
569	#393	—	7	1	no	—
570	#393	—	7	1	no	—
571	#393	C₂×D₇	1	1	yes	characteristic
572	#391	—	7	1	no	—
573	#391	C₂×D₇	1	1	yes	characteristic, complemented
574	#391	C₂×D₇	1	1	yes	characteristic, complemented
575	#389	—	7	1	no	—
576	#389	—	7	1	no	—
577	#389	—	7	1	no	—
578	#389	—	7	1	no	—
579	#389	—	7	1	no	—
580	#389	—	7	1	no	—
581	#388	—	7	1	no	—
582	#388	—	7	1	no	—
583	#388	—	7	1	no	—
584	#388	—	7	1	no	—
585	#388	—	7	1	no	—
586	#388	—	7	1	no	—
587	#388	—	7	1	no	—
588	#388	—	7	1	no	—
589	#388	—	7	1	no	—
590	#388	—	7	1	no	—
591	#388	—	7	1	no	—
592	#388	—	7	1	no	—
593	#388	—	7	1	no	—
594	#388	—	7	1	no	—
595	#388	—	7	1	no	—
596	#388	—	7	1	no	—
597	#388	—	7	1	no	—
598	#388	—	7	1	no	—
599	#388	—	7	1	no	—
600	#388	—	7	1	no	—
601	#388	—	7	1	no	—
602	#388	—	7	1	no	—
603	#388	—	7	1	no	—
604	#388	—	7	1	no	—
605	#388	—	7	1	no	—
606	#388	C₂×D₇	1	1	yes	characteristic
607	#388	C₂×D₇	1	1	yes	characteristic
608	#387	—	7	1	no	—
609	#387	—	7	1	no	—
610	#387	—	7	1	no	—
611	#387	—	7	1	no	—
612	#387	—	7	1	no	—
613	#387	—	7	1	no	—
614	#387	—	7	1	no	—
615	#387	—	7	1	no	—
616	#387	—	7	1	no	—
617	#387	—	7	1	no	—
618	#387	—	7	1	no	—
619	#387	—	7	1	no	—
620	#387	—	7	1	no	—
621	#387	—	7	1	no	—
622	#387	—	7	1	no	—
623	#387	—	7	1	no	—
624	#387	—	7	1	no	—
625	#387	—	7	1	no	—
626	#387	—	7	1	no	—
627	#387	—	7	1	no	—
628	#387	—	7	1	no	—
629	#387	C₂×D₇	1	1	yes	characteristic, complemented
630	#387	C₂×D₇	1	1	yes	characteristic, complemented
631	#387	C₂×D₇	1	1	yes	characteristic, complemented
632	#385	—	7	1	no	—
633	#385	—	7	1	no	—
634	#385	—	7	1	no	—
635	#385	—	7	1	no	—
636	#385	—	7	1	no	—
637	#385	—	7	1	no	—
638	#385	—	7	1	no	—
639	#385	—	7	1	no	—
640	#385	—	7	1	no	—
641	#385	—	7	1	no	—
642	#385	—	7	1	no	—
643	#385	C₂×D₇	1	1	yes	characteristic
644	#383	—	7	1	no	—
645	#382	—	7	1	no	—
646	#382	—	7	1	no	—
647	#382	—	7	1	no	—
648	#381	—	7	1	no	—
649	#381	—	7	1	no	—
650	#381	C₂×D₇	1	1	yes	characteristic
651	#380	—	7	1	no	—
652	#380	—	7	1	no	—
653	#380	—	7	1	no	—
654	#380	—	7	1	no	—
655	#380	—	7	1	no	—
656	#380	—	7	1	no	—
657	#379	—	7	1	no	—
658	#379	—	7	1	no	—
659	#379	—	7	1	no	—
660	#379	—	7	1	no	—
661	C₄×C₄⋊C₄	—	7	1	no	—
662	C₄×C₄⋊C₄	—	7	1	no	—
663	C₄×C₄⋊C₄	—	7	1	no	—
664	C₄×C₄⋊C₄	—	7	1	no	—
665	C₄×C₄⋊C₄	—	7	1	no	—
666	C₄×C₄⋊C₄	—	7	1	no	—
667	C₄×C₄⋊C₄	—	7	1	no	—
668	C₄×C₄⋊C₄	—	7	1	no	—
669	C₄×C₄⋊C₄	—	7	1	no	—
670	C₄×C₂²⋊C₄	—	7	1	no	—
671	C₄×C₂²⋊C₄	—	7	1	no	—
672	C₄×C₂²⋊C₄	—	7	1	no	—
673	C₄×C₂²⋊C₄	—	7	1	no	—
674	C₄×C₂²⋊C₄	—	7	1	no	—
675	C₄×C₂²⋊C₄	—	7	1	no	—
676	C₄×C₂²⋊C₄	—	7	1	no	—
677	C₄×C₂²⋊C₄	—	7	1	no	—
678	C₄×C₂²⋊C₄	—	7	1	no	—
679	C₄×C₂²⋊C₄	—	7	1	no	—
680	C₄×C₂²⋊C₄	—	7	1	no	—
681	C₄×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic
682	#376	—	7	1	no	—
683	#376	—	7	1	no	—
684	#376	C₂×D₇	1	1	yes	characteristic, complemented
685	C₄³	—	7	1	no	—
686	C₂³×C₇	—	2	1	no	—
687	C₂³×C₇	—	2	1	no	—
688	C₂³×C₇	—	2	1	no	—
689	C₂³×C₇	—	2	1	no	—
690	C₂³×C₇	—	2	1	no	—
691	C₂³×C₇	—	2	1	no	—
692	C₂³×C₇	C₂×#41	1	2	yes	—
693	C₂³×C₇	C₂⁵	1	1	yes	characteristic
694	C₂²×D₇	—	2	1	no	—
695	C₂²×D₇	—	2	1	no	—
696	C₂²×D₇	—	2	1	no	—
697	C₂²×D₇	—	2	1	no	—
698	C₂²×D₇	—	2	1	no	—
699	C₂²×D₇	—	2	1	no	—
700	C₂²×D₇	—	2	1	no	—
701	C₂²×D₇	—	2	1	no	—
702	C₂²×D₇	—	2	1	no	—
703	C₂²×D₇	—	2	1	no	—
704	C₂²×D₇	—	2	1	no	—
705	C₂²×D₇	—	2	1	no	—
706	C₂²×D₇	—	4	4	no	—
707	C₂²×D₇	—	4	4	no	—
708	C₂²×D₇	—	4	4	no	—
709	C₂²×D₇	—	8	2	no	—
710	C₂²×D₇	—	8	2	no	—
711	C₂²×D₇	—	8	2	no	—
712	C₂²×D₇	—	8	2	no	—
713	C₂²×D₇	C₂×#41	1	2	yes	—
714	C₂²×D₇	C₂×#41	1	2	yes	—
715	C₇×Q₈	—	8	2	no	—
716	C₂×C₄×C₇	—	2	1	no	—
717	C₂×C₄×C₇	—	2	1	no	—
718	C₂×C₄×C₇	—	2	1	no	—
719	C₂×C₄×C₇	—	2	1	no	—
720	C₂×C₄×C₇	—	2	1	no	—
721	C₂×C₄×C₇	—	2	1	no	—
722	C₂×C₄×C₇	—	2	1	no	—
723	C₂×C₄×C₇	—	2	1	no	—
724	C₂×C₄×C₇	—	2	1	no	—
725	C₂×C₄×C₇	—	2	1	no	—
726	C₂×C₄×C₇	—	2	1	no	—
727	C₂×C₄×C₇	—	2	1	no	—
728	C₂×C₄×C₇	—	2	1	no	—
729	C₂×C₄×C₇	—	2	1	no	—
730	C₂×C₄×C₇	—	2	1	no	—
731	C₂×C₄×C₇	—	2	1	no	—
732	C₂×C₄×C₇	—	2	1	no	—
733	C₂×C₄×C₇	—	2	1	no	—
734	C₂×C₄×C₇	—	2	1	no	—
735	C₂×C₄×C₇	—	2	1	no	—
736	C₂×C₄×C₇	—	2	1	no	—
737	C₂×C₄×C₇	—	2	1	no	—
738	C₂×C₄×C₇	—	2	1	no	—
739	C₂×C₄×C₇	—	2	1	no	—
740	C₂×C₄×C₇	—	2	1	no	—
741	C₂×C₄×C₇	—	2	1	no	—
742	C₂×C₄×C₇	—	2	1	no	—
743	C₂×C₄×C₇	—	2	1	no	—
744	C₂×C₄×C₇	—	2	1	no	—
745	C₂×C₄×C₇	—	2	1	no	—
746	C₂×C₄×C₇	—	2	1	no	—
747	C₂×C₄×C₇	—	2	1	no	—
748	C₂×C₄×C₇	—	2	1	no	—
749	C₂×C₄×C₇	—	2	1	no	—
750	C₂×C₄×C₇	—	2	1	no	—
751	C₂×C₄×C₇	—	2	1	no	—
752	C₂×C₄×C₇	—	2	1	no	—
753	C₂×C₄×C₇	—	2	1	no	—
754	C₂×C₄×C₇	—	2	1	no	—
755	C₂×C₄×C₇	—	2	1	no	—
756	C₂×C₄×C₇	—	4	4	no	—
757	C₂×C₄×C₇	C₂×#41	1	2	yes	—
758	C₂×C₄×C₇	C₂×#41	1	2	yes	—
759	C₂×Dic₇	—	2	1	no	—
760	C₂×Dic₇	—	2	1	no	—
761	C₂×Dic₇	—	2	1	no	—
762	C₂×Dic₇	—	2	1	no	—
763	C₂×Dic₇	—	2	1	no	—
764	C₂×Dic₇	—	2	1	no	—
765	C₂×Dic₇	—	2	1	no	—
766	C₂×Dic₇	—	2	1	no	—
767	C₂×Dic₇	—	2	1	no	—
768	C₂×Dic₇	—	2	1	no	—
769	C₂×Dic₇	—	2	1	no	—
770	C₂×Dic₇	—	2	1	no	—
771	C₂×Dic₇	—	2	1	no	—
772	C₂×Dic₇	—	2	1	no	—
773	C₂×Dic₇	—	2	1	no	—
774	C₂×Dic₇	—	2	1	no	—
775	C₂×Dic₇	—	2	1	no	—
776	C₂×Dic₇	—	2	1	no	—
777	C₂×Dic₇	—	2	1	no	—
778	C₂×Dic₇	—	2	1	no	—
779	C₂×Dic₇	—	2	1	no	—
780	C₂×Dic₇	—	2	1	no	—
781	C₂×Dic₇	—	2	1	no	—
782	C₂×Dic₇	—	2	1	no	—
783	C₂×Dic₇	—	2	1	no	—
784	C₂×Dic₇	—	2	1	no	—
785	C₂×Dic₇	—	2	1	no	—
786	C₂×Dic₇	—	2	1	no	—
787	C₂×Dic₇	—	2	1	no	—
788	C₂×Dic₇	—	2	1	no	—
789	C₂×Dic₇	—	2	1	no	—
790	C₂×Dic₇	—	2	1	no	—
791	C₂×Dic₇	—	2	1	no	—
792	C₂×Dic₇	—	2	1	no	—
793	C₂×Dic₇	—	2	1	no	—
794	C₂×Dic₇	—	2	1	no	—
795	C₂×Dic₇	—	2	1	no	—
796	C₂×Dic₇	—	2	1	no	—
797	C₂×Dic₇	—	8	2	no	—
798	C₂×Dic₇	C₂×#41	1	2	yes	—
799	C₂×Dic₇	C₂×#41	1	2	yes	—
800	C₂×Dic₇	C₂×#41	1	2	yes	—
801	C₂×Dic₇	C₂×#41	1	2	yes	—
802	C₄×D₇	—	4	4	no	—
803	C₄×D₇	—	4	4	no	—
804	C₄×D₇	—	8	2	no	—
805	C₄×D₇	—	8	2	no	—
806	C₂⁵	—	7	1	no	—
807	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
808	C₂³×C₄	—	7	1	no	—
809	C₂³×C₄	—	7	1	no	—
810	C₂³×C₄	—	7	1	no	—
811	C₂³×C₄	—	7	1	no	—
812	C₂³×C₄	—	7	1	no	—
813	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
814	#126	—	14	4	no	—
815	#126	—	14	4	no	—
816	#126	—	14	4	no	—
817	#117	—	14	4	no	—
818	#117	—	14	4	no	—
819	#117	—	14	4	no	—
820	C₂×C₄⋊C₄	—	7	1	no	—
821	C₂×C₄⋊C₄	—	7	1	no	—
822	C₂×C₄⋊C₄	—	7	1	no	—
823	C₂×C₄⋊C₄	—	7	1	no	—
824	C₂×C₄⋊C₄	—	7	1	no	—
825	C₂×C₄⋊C₄	—	7	1	no	—
826	C₂×C₄⋊C₄	—	7	1	no	—
827	C₂×C₄⋊C₄	—	7	1	no	—
828	C₂×C₄⋊C₄	—	7	1	no	—
829	C₂×C₄⋊C₄	—	7	1	no	—
830	C₂×C₄⋊C₄	—	7	1	no	—
831	C₂×C₄⋊C₄	—	7	1	no	—
832	C₂×C₄⋊C₄	—	7	1	no	—
833	C₂×C₄⋊C₄	—	7	1	no	—
834	C₂×C₄⋊C₄	—	7	1	no	—
835	C₂×C₄⋊C₄	—	7	1	no	—
836	C₂×C₄⋊C₄	—	7	1	no	—
837	C₂×C₄⋊C₄	—	7	1	no	—
838	C₂×C₄⋊C₄	—	7	1	no	—
839	C₂×C₄⋊C₄	—	7	1	no	—
840	C₂×C₄⋊C₄	—	7	1	no	—
841	C₂×C₄⋊C₄	—	7	1	no	—
842	C₂×C₄⋊C₄	—	7	1	no	—
843	C₂×C₄⋊C₄	—	7	1	no	—
844	C₂×C₄⋊C₄	—	7	1	no	—
845	C₂×C₄⋊C₄	—	7	1	no	—
846	C₂×C₄⋊C₄	—	7	1	no	—
847	C₂×C₄⋊C₄	—	7	1	no	—
848	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
849	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
850	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
851	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
852	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
853	C₂×C₂²⋊C₄	—	7	1	no	—
854	C₂×C₂²⋊C₄	—	7	1	no	—
855	C₂×C₂²⋊C₄	—	7	1	no	—
856	C₂×C₂²⋊C₄	—	7	1	no	—
857	C₂×C₂²⋊C₄	—	7	1	no	—
858	C₂×C₂²⋊C₄	—	7	1	no	—
859	C₂×C₂²⋊C₄	—	7	1	no	—
860	C₂×C₂²⋊C₄	—	7	1	no	—
861	C₂×C₂²⋊C₄	—	7	1	no	—
862	C₂×C₂²⋊C₄	—	7	1	no	—
863	C₂×C₂²⋊C₄	—	7	1	no	—
864	C₂×C₂²⋊C₄	—	7	1	no	—
865	C₂×C₂²⋊C₄	—	7	1	no	—
866	C₂×C₂²⋊C₄	—	7	1	no	—
867	C₂×C₂²⋊C₄	—	7	1	no	—
868	C₂×C₂²⋊C₄	—	7	1	no	—
869	C₂×C₂²⋊C₄	—	7	1	no	—
870	C₂×C₂²⋊C₄	—	7	1	no	—
871	C₂×C₂²⋊C₄	—	7	1	no	—
872	C₂×C₂²⋊C₄	—	7	1	no	—
873	C₂×C₂²⋊C₄	—	7	1	no	—
874	C₂×C₂²⋊C₄	—	7	1	no	—
875	C₂×C₂²⋊C₄	—	7	1	no	—
876	C₂×C₂²⋊C₄	—	7	1	no	—
877	C₂×C₂²⋊C₄	—	7	1	no	—
878	C₂×C₂²⋊C₄	—	7	1	no	—
879	C₂×C₂²⋊C₄	—	7	1	no	—
880	C₂×C₂²⋊C₄	—	7	1	no	—
881	C₂×C₂²⋊C₄	—	7	1	no	—
882	C₂×C₂²⋊C₄	—	7	1	no	—
883	C₂×C₂²⋊C₄	—	14	4	no	—
884	C₂×C₂²⋊C₄	—	14	4	no	—
885	C₂×C₂²⋊C₄	—	14	4	no	—
886	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
887	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
888	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
889	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
890	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
891	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
892	C₂×C₄²	—	7	1	no	—
893	C₂×C₄²	—	7	1	no	—
894	C₂×C₄²	—	7	1	no	—
895	C₂×C₄²	—	7	1	no	—
896	C₂×C₄²	—	7	1	no	—
897	C₂×C₄²	—	7	1	no	—
898	C₂×C₄²	—	7	1	no	—
899	C₂×C₄²	—	7	1	no	—
900	C₂×C₄²	—	7	1	no	—
901	C₂×C₄²	—	7	1	no	—
902	C₂×C₄²	—	7	1	no	—
903	C₂×C₄²	—	7	1	no	—
904	C₂×C₄²	—	7	1	no	—
905	C₂×C₄²	—	7	1	no	—
906	C₂×C₄²	—	7	1	no	—
907	C₂×C₄²	—	7	1	no	—
908	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
909	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
910	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
911	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
912	#95	—	7	1	no	—
913	#95	—	7	1	no	—
914	#95	—	7	1	no	—
915	#95	—	7	1	no	—
916	#95	—	7	1	no	—
917	#95	—	7	1	no	—
918	#95	—	7	1	no	—
919	#95	—	7	1	no	—
920	#95	—	7	1	no	—
921	#95	—	7	1	no	—
922	#95	—	7	1	no	—
923	#95	—	7	1	no	—
924	#95	—	7	1	no	—
925	#95	—	7	1	no	—
926	#95	—	7	1	no	—
927	#95	—	7	1	no	—
928	#95	—	7	1	no	—
929	#95	—	7	1	no	—
930	#95	—	7	1	no	—
931	#95	—	7	1	no	—
932	#95	—	7	1	no	—
933	#95	—	7	1	no	—
934	#95	—	7	1	no	—
935	#95	—	7	1	no	—
936	#95	—	7	1	no	—
937	#95	—	7	1	no	—
938	#95	—	7	1	no	—
939	#95	—	7	1	no	—
940	#95	—	7	1	no	—
941	#95	—	7	1	no	—
942	#95	—	7	1	no	—
943	#95	—	7	1	no	—
944	#95	—	7	1	no	—
945	#95	—	7	1	no	—
946	#95	—	7	1	no	—
947	#95	—	7	1	no	—
948	#95	—	7	1	no	—
949	#95	—	7	1	no	—
950	#95	—	7	1	no	—
951	#95	—	7	1	no	—
952	#95	C₂²×D₇	1	1	yes	characteristic
953	#95	C₂²×D₇	1	1	yes	characteristic
954	#95	C₂²×D₇	1	1	yes	characteristic
955	#95	C₂²×D₇	1	1	yes	characteristic
956	#95	C₂²×D₇	1	1	yes	characteristic
957	#95	C₂²×D₇	1	1	yes	characteristic
958	#95	C₂²×D₇	1	1	yes	characteristic
959	#95	C₂²×D₇	1	1	yes	characteristic
960	#95	C₂²×D₇	1	1	yes	characteristic
961	#95	C₂²×D₇	1	1	yes	characteristic
962	#95	C₂²×D₇	1	1	yes	characteristic
963	#95	C₂²×D₇	1	1	yes	characteristic
964	#95	C₂²×D₇	1	1	yes	characteristic
965	#95	C₂²×D₇	1	1	yes	characteristic
966	#95	C₂²×D₇	1	1	yes	characteristic
967	#95	C₂²×D₇	1	1	yes	characteristic
968	#95	C₂²×D₇	1	1	yes	characteristic
969	#95	C₂²×D₇	1	1	yes	characteristic
970	C₂²×C₇	—	2	2	no	—
971	C₂²×C₇	—	2	2	no	—
972	C₂²×C₇	—	2	2	no	—
973	C₂²×C₇	—	4	1	no	—
974	C₂²×C₇	—	4	1	no	—
975	C₂²×C₇	—	4	1	no	—
976	C₂²×C₇	—	4	1	no	—
977	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
978	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
979	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
980	C₂²×C₇	#585	1	1	yes	characteristic
981	C₂²×C₇	#585	1	1	yes	characteristic
982	C₂²×C₇	#585	1	1	yes	characteristic
983	C₂²×C₇	#585	1	1	yes	characteristic
984	C₂×D₇	—	2	2	no	—
985	C₂×D₇	—	2	2	no	—
986	C₂×D₇	—	2	2	no	—
987	C₂×D₇	—	2	2	no	—
988	C₂×D₇	—	2	2	no	—
989	C₂×D₇	—	2	2	no	—
990	C₂×D₇	—	4	1	no	—
991	C₂×D₇	—	4	1	no	—
992	C₂×D₇	—	4	1	no	—
993	C₂×D₇	—	4	1	no	—
994	C₂×D₇	—	4	1	no	—
995	C₂×D₇	—	4	1	no	—
996	C₂×D₇	—	4	1	no	—
997	C₂×D₇	—	4	1	no	—
998	C₂×D₇	—	8	8	no	—
999	C₄×C₇	—	2	2	no	—
1000	C₄×C₇	—	2	2	no	—
1001	C₄×C₇	—	4	1	no	—
1002	C₄×C₇	—	4	1	no	—
1003	C₄×C₇	—	4	1	no	—
1004	C₄×C₇	—	4	1	no	—
1005	C₄×C₇	—	4	1	no	—
1006	C₄×C₇	—	4	1	no	—
1007	C₄×C₇	—	4	1	no	—
1008	C₄×C₇	—	4	1	no	—
1009	C₄×C₇	—	4	1	no	—
1010	C₄×C₇	—	4	1	no	—
1011	C₄×C₇	—	4	1	no	—
1012	C₄×C₇	—	4	1	no	—
1013	Dic₇	—	2	2	no	—
1014	Dic₇	—	2	2	no	—
1015	Dic₇	—	2	2	no	—
1016	Dic₇	—	2	2	no	—
1017	Dic₇	—	4	1	no	—
1018	Dic₇	—	4	1	no	—
1019	Dic₇	—	4	1	no	—
1020	Dic₇	—	4	1	no	—
1021	Dic₇	—	4	1	no	—
1022	Dic₇	—	4	1	no	—
1023	Dic₇	—	4	1	no	—
1024	Dic₇	—	4	1	no	—
1025	Dic₇	—	4	1	no	—
1026	Dic₇	—	4	1	no	—
1027	C₂⁴	—	7	1	no	—
1028	C₂⁴	—	7	1	no	—
1029	C₂⁴	—	14	2	no	—
1030	C₂⁴	—	14	2	no	—
1031	C₂⁴	—	14	2	no	—
1032	C₂⁴	—	28	1	no	—
1033	C₂⁴	—	28	1	no	—
1034	C₂⁴	—	28	1	no	—
1035	C₂⁴	—	28	1	no	—
1036	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1037	C₂×Q₈	—	4	1	no	—
1038	C₂×Q₈	—	4	1	no	—
1039	C₂×Q₈	—	4	1	no	—
1040	C₂²×C₄	—	2	2	no	—
1041	C₂²×C₄	—	2	2	no	—
1042	C₂²×C₄	—	4	1	no	—
1043	C₂²×C₄	—	7	1	no	—
1044	C₂²×C₄	—	7	1	no	—
1045	C₂²×C₄	—	7	1	no	—
1046	C₂²×C₄	—	7	1	no	—
1047	C₂²×C₄	—	7	1	no	—
1048	C₂²×C₄	—	7	1	no	—
1049	C₂²×C₄	—	7	1	no	—
1050	C₂²×C₄	—	7	1	no	—
1051	C₂²×C₄	—	7	1	no	—
1052	C₂²×C₄	—	7	1	no	—
1053	C₂²×C₄	—	7	1	no	—
1054	C₂²×C₄	—	7	1	no	—
1055	C₂²×C₄	—	7	1	no	—
1056	C₂²×C₄	—	7	1	no	—
1057	C₂²×C₄	—	14	2	no	—
1058	C₂²×C₄	—	14	2	no	—
1059	C₂²×C₄	—	14	2	no	—
1060	C₂²×C₄	—	14	2	no	—
1061	C₂²×C₄	—	14	2	no	—
1062	C₂²×C₄	—	14	2	no	—
1063	C₂²×C₄	—	14	2	no	—
1064	C₂²×C₄	—	28	1	no	—
1065	C₂²×C₄	—	28	1	no	—
1066	C₂²×C₄	—	28	1	no	—
1067	C₂²×C₄	—	28	1	no	—
1068	C₂²×C₄	—	28	1	no	—
1069	C₂²×C₄	—	28	1	no	—
1070	C₂²×C₄	—	28	1	no	—
1071	C₂²×C₄	—	28	1	no	—
1072	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1075	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1076	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1077	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1078	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1086	C₄⋊C₄	—	2	2	no	—
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	4	1	no	—
1089	C₄⋊C₄	—	4	1	no	—
1090	C₄⋊C₄	—	4	1	no	—
1091	C₄⋊C₄	—	14	2	no	—
1092	C₄⋊C₄	—	14	2	no	—
1093	C₄⋊C₄	—	14	2	no	—
1094	C₄⋊C₄	—	14	2	no	—
1095	C₄⋊C₄	—	14	2	no	—
1096	C₄⋊C₄	—	14	2	no	—
1097	C₄⋊C₄	—	14	2	no	—
1098	C₄⋊C₄	—	14	2	no	—
1099	C₄⋊C₄	—	14	2	no	—
1100	C₄⋊C₄	—	14	2	no	—
1101	C₄⋊C₄	—	14	2	no	—
1102	C₄⋊C₄	—	14	2	no	—
1103	C₄⋊C₄	—	14	2	no	—
1104	C₄⋊C₄	—	28	1	no	—
1105	C₄⋊C₄	—	28	1	no	—
1106	C₄⋊C₄	—	28	1	no	—
1107	C₄⋊C₄	—	28	1	no	—
1108	C₄⋊C₄	—	28	1	no	—
1109	C₄⋊C₄	—	28	1	no	—
1110	C₄⋊C₄	—	28	1	no	—
1111	C₄⋊C₄	—	28	1	no	—
1112	C₄⋊C₄	—	28	1	no	—
1113	C₄⋊C₄	—	28	1	no	—
1114	C₄⋊C₄	—	28	1	no	—
1115	C₄⋊C₄	—	28	1	no	—
1116	C₄⋊C₄	—	28	1	no	—
1117	C₄⋊C₄	—	28	1	no	—
1118	C₄⋊C₄	—	28	1	no	—
1119	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	2	2	no	—
1121	C₂²⋊C₄	—	2	2	no	—
1122	C₂²⋊C₄	—	4	1	no	—
1123	C₂²⋊C₄	—	4	1	no	—
1124	C₂²⋊C₄	—	4	1	no	—
1125	C₂²⋊C₄	—	7	4	no	—
1126	C₂²⋊C₄	—	7	4	no	—
1127	C₂²⋊C₄	—	7	4	no	—
1128	C₂²⋊C₄	—	14	2	no	—
1129	C₂²⋊C₄	—	14	2	no	—
1130	C₂²⋊C₄	—	14	2	no	—
1131	C₂²⋊C₄	—	14	2	no	—
1132	C₂²⋊C₄	—	14	2	no	—
1133	C₂²⋊C₄	—	14	2	no	—
1134	C₂²⋊C₄	—	14	2	no	—
1135	C₂²⋊C₄	—	14	2	no	—
1136	C₂²⋊C₄	—	14	2	no	—
1137	C₂²⋊C₄	—	14	2	no	—
1138	C₂²⋊C₄	—	14	2	no	—
1139	C₂²⋊C₄	—	14	2	no	—
1140	C₂²⋊C₄	—	14	2	no	—
1141	C₂²⋊C₄	—	14	2	no	—
1142	C₂²⋊C₄	—	14	2	no	—
1143	C₂²⋊C₄	—	28	1	no	—
1144	C₂²⋊C₄	—	28	1	no	—
1145	C₂²⋊C₄	—	28	1	no	—
1146	C₂²⋊C₄	—	28	1	no	—
1147	C₂²⋊C₄	—	28	1	no	—
1148	C₂²⋊C₄	—	28	1	no	—
1149	C₂²⋊C₄	—	28	1	no	—
1150	C₂²⋊C₄	—	28	1	no	—
1151	C₂²⋊C₄	—	28	1	no	—
1152	C₂²⋊C₄	—	28	1	no	—
1153	C₂²⋊C₄	—	28	1	no	—
1154	C₂²⋊C₄	—	28	1	no	—
1155	C₄²	—	2	2	no	—
1156	C₄²	—	2	2	no	—
1157	C₄²	—	4	1	no	—
1158	C₄²	—	4	1	no	—
1159	C₄²	—	14	2	no	—
1160	C₄²	—	14	2	no	—
1161	C₄²	—	14	2	no	—
1162	C₄²	—	14	2	no	—
1163	C₄²	—	14	2	no	—
1164	C₄²	—	14	2	no	—
1165	C₄²	—	14	2	no	—
1166	C₄²	—	28	1	no	—
1167	C₄²	—	28	1	no	—
1168	C₄²	—	28	1	no	—
1169	C₄²	—	28	1	no	—
1170	C₄²	—	28	1	no	—
1171	C₄²	—	28	1	no	—
1172	C₄²	—	28	1	no	—
1173	C₄²	—	28	1	no	—
1174	C₄²	—	28	1	no	—
1175	C₂×C₇	—	4	2	no	—
1176	C₂×C₇	#3475	1	1	yes	characteristic
1177	C₂×C₇	#3475	1	1	yes	characteristic
1178	C₂×C₇	#3475	1	1	yes	characteristic
1179	C₂×C₇	#3521	1	1	yes	characteristic
1180	C₂×C₇	#3521	1	1	yes	characteristic
1181	C₂×C₇	#3521	1	1	yes	characteristic
1182	C₂×C₇	#3568	1	1	yes	characteristic
1183	D₇	—	4	2	no	—
1184	D₇	—	4	2	no	—
1185	C₂³	—	2	1	no	—
1186	C₂³	—	2	1	no	—
1187	C₂³	—	2	1	no	—
1188	C₂³	—	2	1	no	—
1189	C₂³	—	2	1	no	—
1190	C₂³	—	2	1	no	—
1191	C₂³	—	7	2	no	—
1192	C₂³	—	7	2	no	—
1193	C₂³	—	14	1	no	—
1194	C₂³	—	14	1	no	—
1195	C₂³	—	14	1	no	—
1196	C₂³	—	14	1	no	—
1197	C₂³	—	14	1	no	—
1198	C₂³	—	14	1	no	—
1199	C₂³	—	14	1	no	—
1200	C₂³	—	14	1	no	—
1201	C₂³	—	14	1	no	—
1202	C₂³	—	14	1	no	—
1203	C₂³	—	14	1	no	—
1204	C₂³	—	14	1	no	—
1205	C₂³	—	28	4	no	—
1206	C₂³	—	28	4	no	—
1207	C₂³	—	28	4	no	—
1208	C₂³	—	56	2	no	—
1209	C₂³	—	56	2	no	—
1210	C₂³	—	56	2	no	—
1211	C₂³	—	56	2	no	—
1212	C₂³	D₇×#41	1	2	yes	—
1213	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1214	Q₈	—	8	2	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	4	4	no	—
1256	C₂×C₄	—	7	2	no	—
1257	C₂×C₄	—	7	2	no	—
1258	C₂×C₄	—	7	2	no	—
1259	C₂×C₄	—	7	2	no	—
1260	C₂×C₄	—	14	1	no	—
1261	C₂×C₄	—	14	1	no	—
1262	C₂×C₄	—	14	1	no	—
1263	C₂×C₄	—	14	1	no	—
1264	C₂×C₄	—	14	1	no	—
1265	C₂×C₄	—	14	1	no	—
1266	C₂×C₄	—	14	1	no	—
1267	C₂×C₄	—	14	1	no	—
1268	C₂×C₄	—	14	1	no	—
1269	C₂×C₄	—	14	1	no	—
1270	C₂×C₄	—	14	1	no	—
1271	C₂×C₄	—	14	1	no	—
1272	C₂×C₄	—	14	1	no	—
1273	C₂×C₄	—	14	1	no	—
1274	C₂×C₄	—	14	1	no	—
1275	C₂×C₄	—	14	1	no	—
1276	C₂×C₄	—	14	1	no	—
1277	C₂×C₄	—	14	1	no	—
1278	C₂×C₄	—	14	1	no	—
1279	C₂×C₄	—	14	1	no	—
1280	C₂×C₄	—	14	1	no	—
1281	C₂×C₄	—	14	1	no	—
1282	C₂×C₄	—	14	1	no	—
1283	C₂×C₄	—	14	1	no	—
1284	C₂×C₄	—	14	1	no	—
1285	C₂×C₄	—	14	1	no	—
1286	C₂×C₄	—	14	1	no	—
1287	C₂×C₄	—	14	1	no	—
1288	C₂×C₄	—	14	1	no	—
1289	C₂×C₄	—	14	1	no	—
1290	C₂×C₄	—	14	1	no	—
1291	C₂×C₄	—	14	1	no	—
1292	C₂×C₄	—	14	1	no	—
1293	C₂×C₄	—	14	1	no	—
1294	C₂×C₄	—	14	1	no	—
1295	C₂×C₄	—	14	1	no	—
1296	C₂×C₄	—	14	1	no	—
1297	C₂×C₄	—	14	1	no	—
1298	C₂×C₄	—	28	4	no	—
1299	C₂×C₄	—	28	4	no	—
1300	C₂×C₄	—	56	2	no	—
1301	C₂×C₄	—	56	2	no	—
1302	C₂×C₄	—	56	2	no	—
1303	C₂×C₄	D₇×#41	1	2	yes	—
1304	C₂×C₄	D₇×#41	1	2	yes	—
1305	C₇	#60027	1	1	yes	characteristic, complemented, Sylow
1306	C₂²	—	2	2	no	—
1307	C₂²	—	2	2	no	—
1308	C₂²	—	2	2	no	—
1309	C₂²	—	4	1	no	—
1310	C₂²	—	4	1	no	—
1311	C₂²	—	4	1	no	—
1312	C₂²	—	4	1	no	—
1313	C₂²	—	14	2	no	—
1314	C₂²	—	14	2	no	—
1315	C₂²	—	14	2	no	—
1316	C₂²	—	14	2	no	—
1317	C₂²	—	14	2	no	—
1318	C₂²	—	14	2	no	—
1319	C₂²	—	28	1	no	—
1320	C₂²	—	28	1	no	—
1321	C₂²	—	28	1	no	—
1322	C₂²	—	28	1	no	—
1323	C₂²	—	28	1	no	—
1324	C₂²	—	28	1	no	—
1325	C₂²	—	28	1	no	—
1326	C₂²	—	28	1	no	—
1327	C₂²	—	56	8	no	—
1328	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1329	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1330	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1331	C₂²	#90616	1	1	yes	characteristic
1332	C₂²	#90616	1	1	yes	characteristic
1333	C₂²	#90618	1	1	yes	characteristic
1334	C₂²	#90620	1	1	yes	characteristic
1335	C₄	—	2	2	no	—
1336	C₄	—	2	2	no	—
1337	C₄	—	4	1	no	—
1338	C₄	—	4	1	no	—
1339	C₄	—	4	1	no	—
1340	C₄	—	4	1	no	—
1341	C₄	—	4	1	no	—
1342	C₄	—	4	1	no	—
1343	C₄	—	4	1	no	—
1344	C₄	—	4	1	no	—
1345	C₄	—	4	1	no	—
1346	C₄	—	4	1	no	—
1347	C₄	—	4	1	no	—
1348	C₄	—	4	1	no	—
1349	C₄	—	14	2	no	—
1350	C₄	—	14	2	no	—
1351	C₄	—	14	2	no	—
1352	C₄	—	14	2	no	—
1353	C₄	—	28	1	no	—
1354	C₄	—	28	1	no	—
1355	C₄	—	28	1	no	—
1356	C₄	—	28	1	no	—
1357	C₄	—	28	1	no	—
1358	C₄	—	28	1	no	—
1359	C₄	—	28	1	no	—
1360	C₄	—	28	1	no	—
1361	C₄	—	28	1	no	—
1362	C₄	—	28	1	no	—
1363	C₂	—	4	2	no	—
1364	C₂	—	28	2	no	—
1365	C₂	—	28	2	no	—
1366	C₂	#11743218	1	1	yes	characteristic
1367	C₂	#11743218	1	1	yes	characteristic
1368	C₂	#11743625	1	1	yes	characteristic
1369	C₂	#11743858	1	1	yes	characteristic
1370	C₂	#11743881	1	1	yes	characteristic
1371	C₂	#11743908	1	1	yes	characteristic
1372	C₂	#11744059	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2527	C₂
prime radical	C₂⁴×D₇	C₂³
hypercenter	#2527	D₇
hypocenter	C₇	#60027
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2527

Complements

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

N	H ≅ G/N	type
1. C₇×#2527	C₂	semidirect
2. #11735869	C₂	semidirect
3. #11735855	C₂	semidirect
4. #11735738	C₂	semidirect
5. #11735605	C₂	semidirect
6. #11735080	C₂	semidirect
9. #11734246	C₂	semidirect
10. #11734081	C₂	semidirect
11. #11733991	C₂	semidirect
12. #11733991	C₂	semidirect
13. #11733975	C₂	semidirect
15. #11732993	C₂	semidirect
17. #11732931	C₂	semidirect
18. #11732788	C₂	semidirect
19. #11732467	C₂	semidirect
20. #11732461	C₂	semidirect
21. #11732460	C₂	semidirect
22. #11732418	C₂	semidirect
23. #11732384	C₂	semidirect
25. #11731894	C₂	semidirect
27. #11731525	C₂	semidirect
29. #11730885	C₂	semidirect
30. #11730841	C₂	semidirect
31. #11730830	C₂	semidirect
41. C₇×#401	C₂²	semidirect
42. C₇×#400	C₂²	semidirect
45. C₇×#391	C₂²	semidirect
46. C₇×#391	C₂²	semidirect
49. C₇×#387	C₂²	semidirect
50. C₇×#387	C₂²	semidirect
51. C₇×#387	C₂²	semidirect
55. C₇×#376	C₂²	semidirect
58. #90002	C₂²	semidirect
59. #90001	C₂²	semidirect
70. #89758	C₂²	semidirect
71. #89756	C₂²	semidirect
72. #89756	C₂²	semidirect
73. #89753	C₂²	semidirect
74. #89753	C₂²	semidirect
75. C₄⋊C₄×Dic₇	C₂²	semidirect
76. C₄⋊C₄×Dic₇	C₂²	semidirect
77. #89744	C₂²	semidirect
78. #89744	C₂²	semidirect
79. #89744	C₂²	semidirect
107. C₄×C₄⋊Dic₇	C₂²	semidirect
108. #89705	C₂²	semidirect
109. #89704	C₂²	semidirect
110. C₄×Dic₇⋊C₄	C₂²	semidirect
111. C₄×Dic₇⋊C₄	C₂²	semidirect
112. C₄×Dic₇⋊C₄	C₂²	semidirect
113. C₄×Dic₇⋊C₄	C₂²	semidirect
114. C₄²×Dic₇	C₂²	semidirect
151. C₇⋊#401	C₂²	semidirect
152. C₇⋊#401	C₂²	semidirect
153. C₇⋊#401	C₂²	semidirect
154. #89433	C₂²	semidirect
155. #89432	C₂²	semidirect
156. #89429	C₂²	semidirect
157. #89429	C₂²	semidirect
158. #89429	C₂²	semidirect
159. #89427	C₂²	semidirect
160. #89427	C₂²	semidirect
161. #89427	C₂²	semidirect
162. #89426	C₂²	semidirect
163. #89426	C₂²	semidirect
164. #89426	C₂²	semidirect
165. #89425	C₂²	semidirect
166. #89425	C₂²	semidirect
167. #89425	C₂²	semidirect
168. #89425	C₂²	semidirect
169. #89425	C₂²	semidirect
170. #89425	C₂²	semidirect
171. #89424	C₂²	semidirect
172. #89424	C₂²	semidirect
173. #89424	C₂²	semidirect
174. #89424	C₂²	semidirect
175. #89424	C₂²	semidirect
176. #89424	C₂²	semidirect
177. #89423	C₂²	semidirect
178. #89422	C₂²	semidirect
179. #89422	C₂²	semidirect
180. #89422	C₂²	semidirect
181. #89421	C₂²	semidirect
182. #89421	C₂²	semidirect
183. #89420	C₂²	semidirect
184. #89419	C₂²	semidirect
185. #89419	C₂²	semidirect
186. #89419	C₂²	semidirect
361. #2527	D₇	semidirect
543. #401	C₂×D₇	semidirect
546. #400	C₂×D₇	semidirect
573. #391	C₂×D₇	semidirect
574. #391	C₂×D₇	semidirect
629. #387	C₂×D₇	semidirect
630. #387	C₂×D₇	semidirect
631. #387	C₂×D₇	semidirect
684. #376	C₂×D₇	semidirect
1305. C₇	#60027	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2527	2
#11735869	2
#11735855	2
#11735738	2
#11735605	2
#11735080	2
#11734925	2
#11734326	2
#11734246	2
#11734081	2
#11733991	2
#11733975	2
#11733278	2
#11732993	2
#11732984	2
#11732931	2
#11732788	2
#11732467	2
#11732461	2
#11732460	2
#11732418	2
#11732384	2
#11731897	2
#11731894	2
#11731567	2
#11731525	2
#11731019	2
#11730885	2
#11730841	2
#11730830	2
#60027	7