Subgroups — #13524576

Order 1792.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1342 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2458	C₂	1	1	yes	maximal, characteristic
2	#11740308	C₂	1	1	yes	maximal, characteristic
3	Dic₇×#123	C₂	1	1	yes	maximal, characteristic
4	#11739917	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄×Q₈×Dic₇	C₂	1	1	yes	maximal, characteristic, complemented
6	#11735259	C₂	1	1	yes	maximal, characteristic, complemented
7	#11735186	C₂	1	1	yes	maximal, characteristic, complemented
8	#11734409	C₂	1	1	yes	maximal, characteristic
9	#11734337	C₂	1	1	yes	maximal, characteristic
10	#11734251	C₂	1	1	yes	maximal, characteristic, complemented
11	#11734250	C₂	1	1	yes	maximal, characteristic, complemented
12	#11734223	C₂	1	1	yes	maximal, characteristic, complemented
13	#11734223	C₂	1	1	yes	maximal, characteristic, complemented
14	#11733777	C₂	1	1	yes	maximal, characteristic
15	#11733734	C₂	1	1	yes	maximal, characteristic
16	#11733080	C₂	1	1	yes	maximal, characteristic, complemented
17	#11733025	C₂	1	1	yes	maximal, characteristic, complemented
18	#11733008	C₂	1	1	yes	maximal, characteristic, complemented
19	#11732978	C₂	1	1	yes	maximal, characteristic, complemented
20	#11732900	C₂	1	1	yes	maximal, characteristic, complemented
21	#11732900	C₂	1	1	yes	maximal, characteristic, complemented
22	#11732896	C₂	1	1	yes	maximal, characteristic, complemented
23	#11732896	C₂	1	1	yes	maximal, characteristic, complemented
24	#11732556	C₂	1	1	yes	maximal, characteristic, complemented
25	#11732516	C₂	1	1	yes	maximal, characteristic, complemented
26	#11732388	C₂	1	1	yes	maximal, characteristic, complemented
27	#11732388	C₂	1	1	yes	maximal, characteristic, complemented
28	#11731926	C₂	1	1	yes	maximal, characteristic, complemented
29	#11731823	C₂	1	1	yes	maximal, characteristic, complemented
30	#11730967	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#6440	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×#123	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
34	C₂×Q₈×Dic₇	C₂²	1	1	yes	characteristic
35	C₂×Q₈×Dic₇	C₂²	1	1	yes	characteristic
36	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic
37	C₂²×C₄×Dic₇	C₂²	1	1	yes	characteristic
38	C₂×#6452	C₂²	1	1	yes	characteristic
39	C₂×#6452	C₂²	1	1	yes	characteristic
40	C₂×#6442	C₂²	1	1	yes	characteristic
41	C₂×#6442	C₂²	1	1	yes	characteristic
42	C₂×#6440	C₂²	1	1	yes	characteristic
43	C₂×#6440	C₂²	1	1	yes	characteristic
44	C₂×#6440	C₂²	1	1	yes	characteristic
45	C₂×#6440	C₂²	1	1	yes	characteristic
46	C₂×#6440	C₂²	1	1	yes	characteristic
47	C₇×#398	C₂²	1	1	yes	characteristic
48	C₇×#394	C₂²	1	1	yes	characteristic
49	C₇×#393	C₂²	1	1	yes	characteristic
50	C₇×#393	C₂²	1	1	yes	characteristic
51	C₇×#390	C₂²	1	1	yes	characteristic
52	C₇×#388	C₂²	1	1	yes	characteristic
53	C₇×#388	C₂²	1	1	yes	characteristic
54	C₇×#388	C₂²	1	1	yes	characteristic
55	C₇×#388	C₂²	1	1	yes	characteristic
56	C₇×#387	C₂²	1	1	yes	characteristic
57	C₇×#387	C₂²	1	1	yes	characteristic
58	C₇×#385	C₂²	1	1	yes	characteristic
59	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
60	#90001	C₂²	1	1	yes	characteristic
61	#90001	C₂²	1	1	yes	characteristic
62	#89994	C₂²	1	1	yes	characteristic
63	#89993	C₂²	1	1	yes	characteristic
64	#89992	C₂²	1	1	yes	characteristic
65	#89983	C₂²	1	1	yes	characteristic
66	#89982	C₂²	1	1	yes	characteristic
67	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
68	#89758	C₂²	1	1	yes	characteristic
69	#89756	C₂²	1	1	yes	characteristic
70	#89756	C₂²	1	1	yes	characteristic
71	#89755	C₂²	1	1	yes	characteristic
72	#89754	C₂²	1	1	yes	characteristic
73	#89753	C₂²	1	1	yes	characteristic
74	#89753	C₂²	1	1	yes	characteristic
75	#89750	C₂²	1	1	yes	characteristic
76	#89750	C₂²	1	1	yes	characteristic
77	#89750	C₂²	1	1	yes	characteristic
78	#89750	C₂²	1	1	yes	characteristic
79	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
80	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
81	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
82	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
83	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
84	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
85	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
86	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
87	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
88	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
89	#89745	C₂²	1	1	yes	characteristic
90	#89744	C₂²	1	1	yes	characteristic
91	#89744	C₂²	1	1	yes	characteristic
92	#89744	C₂²	1	1	yes	characteristic
93	#89744	C₂²	1	1	yes	characteristic
94	#89725	C₂²	1	1	yes	characteristic
95	#89724	C₂²	1	1	yes	characteristic
96	#89724	C₂²	1	1	yes	characteristic
97	#89723	C₂²	1	1	yes	characteristic
98	#89723	C₂²	1	1	yes	characteristic
99	#89723	C₂²	1	1	yes	characteristic
100	#89723	C₂²	1	1	yes	characteristic
101	#89722	C₂²	1	1	yes	characteristic
102	#89722	C₂²	1	1	yes	characteristic
103	#89721	C₂²	1	1	yes	characteristic
104	#89721	C₂²	1	1	yes	characteristic
105	#89721	C₂²	1	1	yes	characteristic
106	#89720	C₂²	1	1	yes	characteristic
107	#89720	C₂²	1	1	yes	characteristic
108	#89720	C₂²	1	1	yes	characteristic
109	#89720	C₂²	1	1	yes	characteristic
110	#89718	C₂²	1	1	yes	characteristic
111	#89717	C₂²	1	1	yes	characteristic
112	#89717	C₂²	1	1	yes	characteristic
113	#89717	C₂²	1	1	yes	characteristic
114	#89717	C₂²	1	1	yes	characteristic
115	#89717	C₂²	1	1	yes	characteristic
116	#89717	C₂²	1	1	yes	characteristic
117	#89716	C₂²	1	1	yes	characteristic
118	#89716	C₂²	1	1	yes	characteristic
119	#89716	C₂²	1	1	yes	characteristic
120	#89716	C₂²	1	1	yes	characteristic
121	#89716	C₂²	1	1	yes	characteristic
122	#89716	C₂²	1	1	yes	characteristic
123	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
124	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
125	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
126	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
127	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
128	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
129	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
130	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
131	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
132	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
133	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
134	#89705	C₂²	1	1	yes	characteristic
135	#89705	C₂²	1	1	yes	characteristic
136	#89705	C₂²	1	1	yes	characteristic
137	#89705	C₂²	1	1	yes	characteristic
138	#89705	C₂²	1	1	yes	characteristic
139	#89705	C₂²	1	1	yes	characteristic
140	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
141	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
142	C₄²×Dic₇	C₂²	1	1	yes	characteristic
143	C₄²×Dic₇	C₂²	1	1	yes	characteristic
144	C₄²×Dic₇	C₂²	1	1	yes	characteristic
145	C₄²×Dic₇	C₂²	1	1	yes	characteristic
146	#89700	C₂²	1	1	yes	characteristic
147	#89433	C₂²	1	1	yes	characteristic
148	#89432	C₂²	1	1	yes	characteristic
149	#89432	C₂²	1	1	yes	characteristic
150	#89431	C₂²	1	1	yes	characteristic
151	#89431	C₂²	1	1	yes	characteristic
152	#89431	C₂²	1	1	yes	characteristic
153	#89429	C₂²	1	1	yes	characteristic
154	#89429	C₂²	1	1	yes	characteristic
155	#89429	C₂²	1	1	yes	characteristic
156	#89429	C₂²	1	1	yes	characteristic
157	#89427	C₂²	1	1	yes	characteristic
158	#89427	C₂²	1	1	yes	characteristic
159	#89427	C₂²	1	1	yes	characteristic
160	#89427	C₂²	1	1	yes	characteristic
161	#89426	C₂²	1	1	yes	characteristic
162	#89426	C₂²	1	1	yes	characteristic
163	#89426	C₂²	1	1	yes	characteristic
164	#89426	C₂²	1	1	yes	characteristic
165	#89424	C₂²	1	1	yes	characteristic
166	#89424	C₂²	1	1	yes	characteristic
167	#89423	C₂²	1	1	yes	characteristic
168	#89423	C₂²	1	1	yes	characteristic
169	#89422	C₂²	1	1	yes	characteristic
170	#89422	C₂²	1	1	yes	characteristic
171	#89421	C₂²	1	1	yes	characteristic
172	#89421	C₂²	1	1	yes	characteristic
173	#89421	C₂²	1	1	yes	characteristic
174	#89421	C₂²	1	1	yes	characteristic
175	#89421	C₂²	1	1	yes	characteristic
176	#89421	C₂²	1	1	yes	characteristic
177	#89421	C₂²	1	1	yes	characteristic
178	#89421	C₂²	1	1	yes	characteristic
179	#89421	C₂²	1	1	yes	characteristic
180	#89420	C₂²	1	1	yes	characteristic
181	#89420	C₂²	1	1	yes	characteristic
182	#89420	C₂²	1	1	yes	characteristic
183	#89419	C₂²	1	1	yes	characteristic
184	#89419	C₂²	1	1	yes	characteristic
185	#89419	C₂²	1	1	yes	characteristic
186	#89419	C₂²	1	1	yes	characteristic
187	#34866	—	7	1	no	maximal, Sylow
188	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
189	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
191	C₂³×Dic₇	C₂³	1	1	yes	characteristic
192	C₂³×Dic₇	C₂³	1	1	yes	characteristic
193	C₂³×Dic₇	C₂³	1	1	yes	characteristic
194	C₇×#123	—	2	4	no	—
195	C₄×C₇×Q₈	—	2	4	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₇×C₄⋊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×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
231	Q₈×Dic₇	—	2	4	no	—
232	Q₈×Dic₇	—	2	4	no	—
233	D₄×Dic₇	—	2	4	no	—
234	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
245	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₇⋊C₄	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×C₄×Dic₇	—	2	4	no	—
270	C₂×C₄×Dic₇	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	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
297	#6452	—	2	4	no	—
298	#6452	—	2	4	no	—
299	#6442	—	2	4	no	—
300	#6442	—	2	4	no	—
301	#6440	—	2	4	no	—
302	#6440	—	2	4	no	—
303	#6440	—	2	4	no	—
304	#6440	—	2	4	no	—
305	#6440	—	2	4	no	—
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	C₇⋊#95	C₂³	1	1	yes	characteristic
353	C₇⋊#95	C₂³	1	1	yes	characteristic
354	C₇⋊#95	C₂³	1	1	yes	characteristic
355	C₇⋊#95	C₂³	1	1	yes	characteristic
356	C₇⋊#95	C₂³	1	1	yes	characteristic
357	C₇⋊#95	C₂³	1	1	yes	characteristic
358	#2606	—	7	1	no	—
359	#2604	—	7	1	no	—
360	#2601	—	7	1	no	—
361	#2599	—	7	1	no	—
362	#2596	—	7	1	no	—
363	#2590	—	7	1	no	—
364	#2575	—	7	1	no	—
365	#2558	—	7	1	no	—
366	#2533	—	7	1	no	—
367	#2529	—	7	1	no	—
368	#2519	—	7	1	no	—
369	#2515	—	7	1	no	—
370	#2479	—	7	1	no	—
371	#2475	—	7	1	no	—
372	#2462	—	7	1	no	—
373	#2458	D₇	1	1	yes	characteristic
374	#2402	—	7	1	no	—
375	#2396	—	7	1	no	—
376	#2396	—	7	1	no	—
377	#2395	—	7	1	no	—
378	C₄×#125	—	7	1	no	—
379	C₄×#125	—	7	1	no	—
380	C₄×#126	—	7	1	no	—
381	C₄×#126	—	7	1	no	—
382	C₄×#123	—	7	1	no	—
383	#2298	—	7	1	no	—
384	#2298	—	7	1	no	—
385	#2296	—	7	1	no	—
386	#2293	—	7	1	no	—
387	C₄²×Q₈	—	7	1	no	—
388	C₄×#117	—	7	1	no	—
389	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
390	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
391	C₂×C₇×Q₈	—	2	2	no	—
392	C₂×C₇×Q₈	—	2	2	no	—
393	C₂×C₇×Q₈	—	2	2	no	—
394	C₂×C₇×D₄	—	2	2	no	—
395	C₂×C₇×D₄	—	2	2	no	—
396	C₂×C₇×D₄	—	4	1	no	—
397	C₂²×C₄×C₇	—	2	2	no	—
398	C₂²×C₄×C₇	—	2	2	no	—
399	C₂²×C₄×C₇	—	4	1	no	—
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	—	2	2	no	—
415	C₂²×Dic₇	—	2	2	no	—
416	C₂²×Dic₇	—	2	2	no	—
417	C₂²×Dic₇	—	2	2	no	—
418	C₂²×Dic₇	—	2	2	no	—
419	C₂²×Dic₇	—	2	2	no	—
420	C₂²×Dic₇	—	2	2	no	—
421	C₂²×Dic₇	#41	1	4	yes	—
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	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
438	C₇×C₄⋊C₄	—	2	2	no	—
439	C₇×C₄⋊C₄	—	2	2	no	—
440	C₇×C₄⋊C₄	—	2	2	no	—
441	C₇×C₄⋊C₄	—	2	2	no	—
442	C₇×C₄⋊C₄	—	4	1	no	—
443	C₇×C₄⋊C₄	—	4	1	no	—
444	C₇×C₄⋊C₄	#41	1	4	yes	—
445	C₇×C₂²⋊C₄	—	2	2	no	—
446	C₇×C₂²⋊C₄	—	2	2	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	—	2	2	no	—
451	C₇×C₂²⋊C₄	—	2	2	no	—
452	C₇×C₂²⋊C₄	—	2	2	no	—
453	C₇×C₂²⋊C₄	—	2	2	no	—
454	C₇×C₂²⋊C₄	—	2	2	no	—
455	C₇×C₂²⋊C₄	—	4	1	no	—
456	C₄²×C₇	—	2	2	no	—
457	C₄²×C₇	—	2	2	no	—
458	C₄²×C₇	—	2	2	no	—
459	C₄²×C₇	—	4	1	no	—
460	C₂²⋊Dic₇	—	2	2	no	—
461	C₂²⋊Dic₇	—	2	2	no	—
462	C₂²⋊Dic₇	—	2	2	no	—
463	C₂²⋊Dic₇	—	2	2	no	—
464	C₂²⋊Dic₇	—	2	2	no	—
465	C₂²⋊Dic₇	—	2	2	no	—
466	C₂²⋊Dic₇	—	2	2	no	—
467	C₂²⋊Dic₇	—	2	2	no	—
468	C₂²⋊Dic₇	—	2	2	no	—
469	C₂²⋊Dic₇	—	2	2	no	—
470	C₂²⋊Dic₇	—	2	2	no	—
471	C₂²⋊Dic₇	—	4	1	no	—
472	C₂²⋊Dic₇	—	4	1	no	—
473	C₄⋊Dic₇	—	2	2	no	—
474	C₄⋊Dic₇	—	2	2	no	—
475	C₄⋊Dic₇	—	2	2	no	—
476	C₄⋊Dic₇	—	2	2	no	—
477	C₄⋊Dic₇	—	2	2	no	—
478	C₄⋊Dic₇	—	2	2	no	—
479	C₄⋊Dic₇	—	2	2	no	—
480	C₄⋊Dic₇	—	2	2	no	—
481	C₄⋊Dic₇	—	2	2	no	—
482	C₄⋊Dic₇	—	2	2	no	—
483	C₄⋊Dic₇	—	2	2	no	—
484	Dic₇⋊C₄	—	2	2	no	—
485	Dic₇⋊C₄	—	2	2	no	—
486	Dic₇⋊C₄	—	2	2	no	—
487	Dic₇⋊C₄	—	2	2	no	—
488	Dic₇⋊C₄	—	2	2	no	—
489	Dic₇⋊C₄	—	2	2	no	—
490	Dic₇⋊C₄	—	2	2	no	—
491	Dic₇⋊C₄	—	2	2	no	—
492	Dic₇⋊C₄	—	2	2	no	—
493	Dic₇⋊C₄	—	2	2	no	—
494	Dic₇⋊C₄	—	2	2	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	#41	1	4	yes	—
508	C₄×Dic₇	—	2	2	no	—
509	C₄×Dic₇	—	2	2	no	—
510	C₄×Dic₇	—	2	2	no	—
511	C₄×Dic₇	—	2	2	no	—
512	C₄×Dic₇	—	2	2	no	—
513	C₄×Dic₇	—	2	2	no	—
514	C₄×Dic₇	—	2	2	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	—	2	2	no	—
523	C₄×Dic₇	—	2	2	no	—
524	C₄×Dic₇	—	2	2	no	—
525	C₄×Dic₇	—	2	2	no	—
526	C₄×Dic₇	—	2	2	no	—
527	C₄×Dic₇	—	2	2	no	—
528	C₄×Dic₇	—	2	2	no	—
529	C₄×Dic₇	—	2	2	no	—
530	C₄×Dic₇	—	4	1	no	—
531	C₄×Dic₇	—	4	1	no	—
532	C₄×Dic₇	—	4	1	no	—
533	C₄×Dic₇	#41	1	4	yes	—
534	C₄×Dic₇	#41	1	4	yes	—
535	C₂×#126	—	7	1	no	—
536	C₂×#126	—	7	1	no	—
537	C₂×#125	—	7	1	no	—
538	C₂×#125	—	7	1	no	—
539	C₂×#123	C₂×D₇	1	1	yes	characteristic
540	C₂×C₄×Q₈	—	7	1	no	—
541	C₂×C₄×Q₈	—	7	1	no	—
542	C₂×C₄×Q₈	C₂×D₇	1	1	yes	characteristic
543	C₂×C₄×D₄	—	7	1	no	—
544	C₂×#117	—	7	1	no	—
545	C₂×#117	—	7	1	no	—
546	C₂×#117	—	7	1	no	—
547	C₂×#117	—	7	1	no	—
548	C₂×#117	—	7	1	no	—
549	C₂²×C₄²	—	7	1	no	—
550	#400	—	7	1	no	—
551	#400	—	7	1	no	—
552	#400	—	7	1	no	—
553	#400	—	7	1	no	—
554	#400	—	7	1	no	—
555	#400	—	7	1	no	—
556	#400	—	7	1	no	—
557	#399	—	7	1	no	—
558	#399	—	7	1	no	—
559	#399	—	7	1	no	—
560	#398	—	7	1	no	—
561	#398	—	7	1	no	—
562	#398	—	7	1	no	—
563	#398	—	7	1	no	—
564	#398	—	7	1	no	—
565	#398	—	7	1	no	—
566	#398	—	7	1	no	—
567	#398	—	7	1	no	—
568	#398	C₂×D₇	1	1	yes	characteristic
569	#397	—	7	1	no	—
570	#397	—	7	1	no	—
571	#397	—	7	1	no	—
572	#396	—	7	1	no	—
573	#396	—	7	1	no	—
574	#396	—	7	1	no	—
575	#396	—	7	1	no	—
576	#395	—	7	1	no	—
577	#395	—	7	1	no	—
578	#394	—	7	1	no	—
579	#394	C₂×D₇	1	1	yes	characteristic
580	#393	C₂×D₇	1	1	yes	characteristic
581	#393	C₂×D₇	1	1	yes	characteristic
582	#390	—	7	1	no	—
583	#390	C₂×D₇	1	1	yes	characteristic
584	#389	—	7	1	no	—
585	#389	—	7	1	no	—
586	#389	—	7	1	no	—
587	#389	—	7	1	no	—
588	#389	—	7	1	no	—
589	#389	—	7	1	no	—
590	#389	—	7	1	no	—
591	#389	—	7	1	no	—
592	#389	—	7	1	no	—
593	#389	—	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	—	7	1	no	—
607	#388	—	7	1	no	—
608	#388	—	7	1	no	—
609	#388	—	7	1	no	—
610	#388	C₂×D₇	1	1	yes	characteristic
611	#388	C₂×D₇	1	1	yes	characteristic
612	#388	C₂×D₇	1	1	yes	characteristic
613	#388	C₂×D₇	1	1	yes	characteristic
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	—	7	1	no	—
630	#387	—	7	1	no	—
631	#387	—	7	1	no	—
632	#387	—	7	1	no	—
633	#387	—	7	1	no	—
634	#387	—	7	1	no	—
635	#387	—	7	1	no	—
636	#387	C₂×D₇	1	1	yes	characteristic
637	#387	C₂×D₇	1	1	yes	characteristic
638	#386	—	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	#383	—	7	1	no	—
646	#382	—	7	1	no	—
647	#382	—	7	1	no	—
648	#381	—	7	1	no	—
649	C₄×C₄⋊C₄	—	7	1	no	—
650	C₄×C₄⋊C₄	—	7	1	no	—
651	C₄×C₄⋊C₄	—	7	1	no	—
652	C₄×C₄⋊C₄	—	7	1	no	—
653	C₄×C₄⋊C₄	—	7	1	no	—
654	C₄×C₄⋊C₄	—	7	1	no	—
655	C₄×C₄⋊C₄	—	7	1	no	—
656	C₄×C₄⋊C₄	—	7	1	no	—
657	C₄×C₄⋊C₄	—	7	1	no	—
658	C₄×C₄⋊C₄	—	7	1	no	—
659	C₄×C₄⋊C₄	—	7	1	no	—
660	C₄×C₄⋊C₄	—	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×C₄⋊C₄	—	7	1	no	—
671	C₄×C₄⋊C₄	—	7	1	no	—
672	C₄×C₄⋊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	—	7	1	no	—
682	C₄×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic
683	#376	—	7	1	no	—
684	#376	—	7	1	no	—
685	#376	—	7	1	no	—
686	C₄³	—	7	1	no	—
687	C₄³	—	7	1	no	—
688	C₄³	—	7	1	no	—
689	C₄³	—	7	1	no	—
690	C₂³×C₇	—	2	1	no	—
691	C₂³×C₇	—	2	1	no	—
692	C₂³×C₇	—	2	1	no	—
693	C₂³×C₇	—	2	1	no	—
694	C₂³×C₇	—	2	1	no	—
695	C₂³×C₇	—	2	1	no	—
696	C₂³×C₇	—	2	1	no	—
697	C₂³×C₇	—	2	1	no	—
698	C₂³×C₇	—	2	1	no	—
699	C₂³×C₇	—	2	1	no	—
700	C₂³×C₇	—	2	1	no	—
701	C₂³×C₇	—	2	1	no	—
702	C₂³×C₇	—	2	1	no	—
703	C₂³×C₇	C₂×#41	1	2	yes	—
704	C₂³×C₇	C₂⁵	1	1	yes	characteristic
705	C₇×Q₈	—	2	8	no	—
706	C₇×D₄	—	4	4	no	—
707	C₂×C₄×C₇	—	2	1	no	—
708	C₂×C₄×C₇	—	2	1	no	—
709	C₂×C₄×C₇	—	2	1	no	—
710	C₂×C₄×C₇	—	2	1	no	—
711	C₂×C₄×C₇	—	2	1	no	—
712	C₂×C₄×C₇	—	2	1	no	—
713	C₂×C₄×C₇	—	2	1	no	—
714	C₂×C₄×C₇	—	2	1	no	—
715	C₂×C₄×C₇	—	2	1	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	—	4	4	no	—
741	C₂×C₄×C₇	C₂×#41	1	2	yes	—
742	C₂×C₄×C₇	C₂×#41	1	2	yes	—
743	C₂×C₄×C₇	C₂×#41	1	2	yes	—
744	C₂×C₄×C₇	C₂×#41	1	2	yes	—
745	C₂×C₄×C₇	C₂×#41	1	2	yes	—
746	C₂×C₄×C₇	C₂×#41	1	2	yes	—
747	C₂×Dic₇	—	2	8	no	—
748	C₂×Dic₇	—	2	1	no	—
749	C₂×Dic₇	—	2	1	no	—
750	C₂×Dic₇	—	2	1	no	—
751	C₂×Dic₇	—	2	1	no	—
752	C₂×Dic₇	—	2	1	no	—
753	C₂×Dic₇	—	2	1	no	—
754	C₂×Dic₇	—	2	1	no	—
755	C₂×Dic₇	—	2	1	no	—
756	C₂×Dic₇	—	2	1	no	—
757	C₂×Dic₇	—	2	1	no	—
758	C₂×Dic₇	—	2	1	no	—
759	C₂×Dic₇	—	2	1	no	—
760	C₂×Dic₇	—	2	8	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	—	4	4	no	—
789	C₂×Dic₇	C₂×#41	1	2	yes	—
790	C₂×Dic₇	C₂×#41	1	2	yes	—
791	C₂×Dic₇	C₂×#41	1	2	yes	—
792	C₂×Dic₇	C₂×#41	1	2	yes	—
793	C₂×Dic₇	C₂×#41	1	2	yes	—
794	C₂×Dic₇	C₂×#41	1	2	yes	—
795	C₂×Dic₇	C₂×#41	1	2	yes	—
796	C₂×Dic₇	C₂×#41	1	2	yes	—
797	C₂×Dic₇	2₋¹⁺⁴	1	2	yes	—
798	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
799	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
800	C₂³×C₄	—	7	1	no	—
801	C₂³×C₄	—	7	1	no	—
802	C₂³×C₄	—	7	1	no	—
803	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
804	#126	—	14	4	no	—
805	#126	—	14	4	no	—
806	#125	—	14	4	no	—
807	#125	—	14	4	no	—
808	#123	—	2	4	no	—
809	C₄×Q₈	—	2	4	no	—
810	C₄×Q₈	—	14	4	no	—
811	C₄×Q₈	—	14	4	no	—
812	C₄×D₄	—	14	4	no	—
813	#117	—	14	4	no	—
814	#117	—	14	4	no	—
815	#117	—	14	4	no	—
816	#117	—	14	4	no	—
817	#117	—	14	4	no	—
818	C₂×C₄⋊C₄	—	7	1	no	—
819	C₂×C₄⋊C₄	—	7	1	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	—	7	1	no	—
849	C₂×C₄⋊C₄	—	7	1	no	—
850	C₂×C₄⋊C₄	—	7	1	no	—
851	C₂×C₄⋊C₄	—	7	1	no	—
852	C₂×C₄⋊C₄	—	7	1	no	—
853	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
854	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
855	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
856	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
857	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
858	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
859	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
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	C₂²×D₇	1	1	yes	characteristic
874	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
875	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
876	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
877	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
878	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
879	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
880	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
881	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
882	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
883	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
884	C₂×C₄²	—	7	1	no	—
885	C₂×C₄²	—	7	1	no	—
886	C₂×C₄²	—	7	1	no	—
887	C₂×C₄²	—	7	1	no	—
888	C₂×C₄²	—	7	1	no	—
889	C₂×C₄²	—	7	1	no	—
890	C₂×C₄²	—	7	1	no	—
891	C₂×C₄²	—	7	1	no	—
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	—	7	1	no	—
909	C₂×C₄²	—	7	1	no	—
910	C₂×C₄²	—	7	1	no	—
911	C₂×C₄²	—	14	4	no	—
912	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
913	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
914	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
915	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
953	#95	—	7	1	no	—
954	#95	—	7	1	no	—
955	#95	—	7	1	no	—
956	#95	—	7	1	no	—
957	#95	—	7	1	no	—
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	C₂²×C₇	—	2	2	no	—
969	C₂²×C₇	—	2	2	no	—
970	C₂²×C₇	—	2	2	no	—
971	C₂²×C₇	—	4	1	no	—
972	C₂²×C₇	—	4	1	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	—	4	1	no	—
978	C₂²×C₇	—	4	1	no	—
979	C₂²×C₇	—	4	1	no	—
980	C₂²×C₇	—	4	1	no	—
981	C₂²×C₇	—	4	1	no	—
982	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
983	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
984	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
985	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
986	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
987	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
988	C₂²×C₇	#585	1	1	yes	characteristic
989	C₄×C₇	—	2	2	no	—
990	C₄×C₇	—	2	2	no	—
991	C₄×C₇	—	2	2	no	—
992	C₄×C₇	—	2	2	no	—
993	C₄×C₇	—	2	2	no	—
994	C₄×C₇	—	2	2	no	—
995	C₄×C₇	—	4	1	no	—
996	C₄×C₇	—	4	1	no	—
997	C₄×C₇	—	4	1	no	—
998	C₄×C₇	—	4	1	no	—
999	C₄×C₇	—	4	1	no	—
1000	C₄×C₇	—	4	1	no	—
1001	C₄×C₇	—	4	1	no	—
1002	Dic₇	—	2	2	no	—
1003	Dic₇	—	2	2	no	—
1004	Dic₇	—	2	2	no	—
1005	Dic₇	—	2	2	no	—
1006	Dic₇	—	2	2	no	—
1007	Dic₇	—	2	2	no	—
1008	Dic₇	—	4	1	no	—
1009	Dic₇	—	4	1	no	—
1010	Dic₇	—	4	1	no	—
1011	Dic₇	—	4	1	no	—
1012	Dic₇	—	4	1	no	—
1013	Dic₇	—	4	1	no	—
1014	Dic₇	—	4	1	no	—
1015	Dic₇	—	4	1	no	—
1016	Dic₇	—	4	1	no	—
1017	Dic₇	#552	1	4	yes	—
1018	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1019	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1020	C₂×Q₈	—	2	2	no	—
1021	C₂×Q₈	—	2	2	no	—
1022	C₂×Q₈	—	2	2	no	—
1023	C₂×D₄	—	2	2	no	—
1024	C₂×D₄	—	2	2	no	—
1025	C₂×D₄	—	4	1	no	—
1026	C₂²×C₄	—	2	2	no	—
1027	C₂²×C₄	—	2	2	no	—
1028	C₂²×C₄	—	4	1	no	—
1029	C₂²×C₄	—	7	1	no	—
1030	C₂²×C₄	—	7	4	no	—
1031	C₂²×C₄	—	7	1	no	—
1032	C₂²×C₄	—	7	1	no	—
1033	C₂²×C₄	—	7	1	no	—
1034	C₂²×C₄	—	7	1	no	—
1035	C₂²×C₄	—	7	1	no	—
1036	C₂²×C₄	—	7	1	no	—
1037	C₂²×C₄	—	7	1	no	—
1038	C₂²×C₄	—	7	1	no	—
1039	C₂²×C₄	—	7	1	no	—
1040	C₂²×C₄	—	7	1	no	—
1041	C₂²×C₄	—	7	1	no	—
1042	C₂²×C₄	—	7	1	no	—
1043	C₂²×C₄	—	7	1	no	—
1044	C₂²×C₄	—	7	1	no	—
1045	C₂²×C₄	—	7	1	no	—
1046	C₂²×C₄	—	14	2	no	—
1047	C₂²×C₄	—	14	2	no	—
1048	C₂²×C₄	—	14	2	no	—
1049	C₂²×C₄	—	14	2	no	—
1050	C₂²×C₄	—	14	2	no	—
1051	C₂²×C₄	—	14	2	no	—
1052	C₂²×C₄	—	14	2	no	—
1053	C₂²×C₄	—	14	2	no	—
1054	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1055	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1065	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1067	C₄⋊C₄	—	2	2	no	—
1068	C₄⋊C₄	—	2	2	no	—
1069	C₄⋊C₄	—	2	2	no	—
1070	C₄⋊C₄	—	2	2	no	—
1071	C₄⋊C₄	—	4	1	no	—
1072	C₄⋊C₄	—	4	1	no	—
1073	C₄⋊C₄	—	7	4	no	—
1074	C₄⋊C₄	—	14	2	no	—
1075	C₄⋊C₄	—	14	2	no	—
1076	C₄⋊C₄	—	14	2	no	—
1077	C₄⋊C₄	—	14	2	no	—
1078	C₄⋊C₄	—	14	2	no	—
1079	C₄⋊C₄	—	14	2	no	—
1080	C₄⋊C₄	—	14	2	no	—
1081	C₄⋊C₄	—	14	2	no	—
1082	C₄⋊C₄	—	14	2	no	—
1083	C₄⋊C₄	—	14	2	no	—
1084	C₄⋊C₄	—	14	2	no	—
1085	C₄⋊C₄	—	14	2	no	—
1086	C₄⋊C₄	—	14	2	no	—
1087	C₄⋊C₄	—	14	2	no	—
1088	C₄⋊C₄	—	14	2	no	—
1089	C₄⋊C₄	—	14	2	no	—
1090	C₄⋊C₄	—	14	2	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	#1159	1	4	yes	—
1109	C₂²⋊C₄	—	2	2	no	—
1110	C₂²⋊C₄	—	2	2	no	—
1111	C₂²⋊C₄	—	2	2	no	—
1112	C₂²⋊C₄	—	2	2	no	—
1113	C₂²⋊C₄	—	2	2	no	—
1114	C₂²⋊C₄	—	2	2	no	—
1115	C₂²⋊C₄	—	2	2	no	—
1116	C₂²⋊C₄	—	2	2	no	—
1117	C₂²⋊C₄	—	2	2	no	—
1118	C₂²⋊C₄	—	2	2	no	—
1119	C₂²⋊C₄	—	4	1	no	—
1120	C₂²⋊C₄	—	14	2	no	—
1121	C₂²⋊C₄	—	14	2	no	—
1122	C₂²⋊C₄	—	14	2	no	—
1123	C₂²⋊C₄	—	14	2	no	—
1124	C₂²⋊C₄	—	14	2	no	—
1125	C₂²⋊C₄	—	14	2	no	—
1126	C₂²⋊C₄	—	14	2	no	—
1127	C₂²⋊C₄	—	14	2	no	—
1128	C₂²⋊C₄	—	14	2	no	—
1129	C₂²⋊C₄	—	14	2	no	—
1130	C₂²⋊C₄	—	14	2	no	—
1131	C₂²⋊C₄	—	28	1	no	—
1132	C₂²⋊C₄	—	28	1	no	—
1133	C₄²	—	2	2	no	—
1134	C₄²	—	2	2	no	—
1135	C₄²	—	2	2	no	—
1136	C₄²	—	4	1	no	—
1137	C₄²	—	7	4	no	—
1138	C₄²	—	7	4	no	—
1139	C₄²	—	14	2	no	—
1140	C₄²	—	14	2	no	—
1141	C₄²	—	14	2	no	—
1142	C₄²	—	14	2	no	—
1143	C₄²	—	14	2	no	—
1144	C₄²	—	14	2	no	—
1145	C₄²	—	14	2	no	—
1146	C₄²	—	14	2	no	—
1147	C₄²	—	14	2	no	—
1148	C₄²	—	14	2	no	—
1149	C₄²	—	14	2	no	—
1150	C₄²	—	14	2	no	—
1151	C₄²	—	14	2	no	—
1152	C₄²	—	14	2	no	—
1153	C₄²	—	14	2	no	—
1154	C₄²	—	14	2	no	—
1155	C₄²	—	14	2	no	—
1156	C₄²	—	14	2	no	—
1157	C₄²	—	14	2	no	—
1158	C₄²	—	14	2	no	—
1159	C₄²	—	14	2	no	—
1160	C₄²	—	14	2	no	—
1161	C₄²	—	28	1	no	—
1162	C₄²	—	28	1	no	—
1163	C₄²	—	28	1	no	—
1164	C₂×C₇	—	4	2	no	—
1165	C₂×C₇	—	8	1	no	—
1166	C₂×C₇	#3444	1	1	yes	characteristic
1167	C₂×C₇	#3444	1	1	yes	characteristic
1168	C₂×C₇	#3461	1	1	yes	characteristic
1169	C₂×C₇	C₂×#552	1	1	yes	characteristic
1170	C₂×C₇	#3475	1	1	yes	characteristic
1171	C₂×C₇	#3480	1	1	yes	characteristic
1172	C₂×C₇	#3482	1	1	yes	characteristic
1173	C₂³	—	2	1	no	—
1174	C₂³	—	2	1	no	—
1175	C₂³	—	2	1	no	—
1176	C₂³	—	2	1	no	—
1177	C₂³	—	2	1	no	—
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	—	2	1	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	2	1	no	—
1185	C₂³	—	2	1	no	—
1186	C₂³	D₇×#41	1	2	yes	—
1187	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1188	Q₈	—	2	8	no	—
1189	D₄	—	4	4	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	—	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	—	4	4	no	—
1224	C₂×C₄	—	7	2	no	—
1225	C₂×C₄	—	7	2	no	—
1226	C₂×C₄	—	7	2	no	—
1227	C₂×C₄	—	7	2	no	—
1228	C₂×C₄	—	7	2	no	—
1229	C₂×C₄	—	7	2	no	—
1230	C₂×C₄	—	7	2	no	—
1231	C₂×C₄	—	7	2	no	—
1232	C₂×C₄	—	7	2	no	—
1233	C₂×C₄	—	14	8	no	—
1234	C₂×C₄	—	14	8	no	—
1235	C₂×C₄	—	14	1	no	—
1236	C₂×C₄	—	14	1	no	—
1237	C₂×C₄	—	14	1	no	—
1238	C₂×C₄	—	14	1	no	—
1239	C₂×C₄	—	14	1	no	—
1240	C₂×C₄	—	14	1	no	—
1241	C₂×C₄	—	14	1	no	—
1242	C₂×C₄	—	14	1	no	—
1243	C₂×C₄	—	14	1	no	—
1244	C₂×C₄	—	14	1	no	—
1245	C₂×C₄	—	14	1	no	—
1246	C₂×C₄	—	14	1	no	—
1247	C₂×C₄	—	14	1	no	—
1248	C₂×C₄	—	14	1	no	—
1249	C₂×C₄	—	14	1	no	—
1250	C₂×C₄	—	14	1	no	—
1251	C₂×C₄	—	14	1	no	—
1252	C₂×C₄	—	14	1	no	—
1253	C₂×C₄	—	14	1	no	—
1254	C₂×C₄	—	14	1	no	—
1255	C₂×C₄	—	14	1	no	—
1256	C₂×C₄	—	14	1	no	—
1257	C₂×C₄	—	14	1	no	—
1258	C₂×C₄	—	14	1	no	—
1259	C₂×C₄	—	14	1	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	—	28	4	no	—
1275	C₂×C₄	C₂×#1159	1	2	yes	—
1276	C₂×C₄	C₂×#1159	1	2	yes	—
1277	C₂×C₄	C₂×#1159	1	2	yes	—
1278	C₂×C₄	D₇×#41	1	2	yes	—
1279	C₂×C₄	D₇×#41	1	2	yes	—
1280	C₂×C₄	D₇×#41	1	2	yes	—
1281	C₇	#34866	1	1	yes	characteristic, complemented, Sylow
1282	C₂²	—	2	2	no	—
1283	C₂²	—	2	2	no	—
1284	C₂²	—	2	2	no	—
1285	C₂²	—	4	1	no	—
1286	C₂²	—	4	1	no	—
1287	C₂²	—	4	1	no	—
1288	C₂²	—	4	1	no	—
1289	C₂²	—	4	1	no	—
1290	C₂²	—	4	1	no	—
1291	C₂²	—	4	1	no	—
1292	C₂²	—	4	1	no	—
1293	C₂²	—	4	1	no	—
1294	C₂²	—	4	1	no	—
1295	C₂²	—	4	1	no	—
1296	C₂²	C₂²×#1159	1	1	yes	characteristic
1297	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1298	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1299	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1300	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1301	C₂²	#90618	1	1	yes	characteristic
1302	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1303	C₄	—	2	2	no	—
1304	C₄	—	2	2	no	—
1305	C₄	—	2	2	no	—
1306	C₄	—	2	2	no	—
1307	C₄	—	2	2	no	—
1308	C₄	—	2	2	no	—
1309	C₄	—	4	1	no	—
1310	C₄	—	4	1	no	—
1311	C₄	—	4	1	no	—
1312	C₄	—	4	1	no	—
1313	C₄	—	4	1	no	—
1314	C₄	—	4	1	no	—
1315	C₄	—	4	1	no	—
1316	C₄	—	7	4	no	—
1317	C₄	—	14	2	no	—
1318	C₄	—	14	2	no	—
1319	C₄	—	14	2	no	—
1320	C₄	—	14	2	no	—
1321	C₄	—	14	2	no	—
1322	C₄	—	14	2	no	—
1323	C₄	—	28	1	no	—
1324	C₄	—	28	1	no	—
1325	C₄	—	28	1	no	—
1326	C₄	—	28	1	no	—
1327	C₄	—	28	1	no	—
1328	C₄	—	28	1	no	—
1329	C₄	—	28	1	no	—
1330	C₄	—	28	1	no	—
1331	C₄	—	28	1	no	—
1332	C₂	—	4	2	no	—
1333	C₂	—	8	1	no	—
1334	C₂	#11743086	1	1	yes	characteristic
1335	C₂	#11743187	1	1	yes	characteristic
1336	C₂	#11743593	1	1	yes	characteristic
1337	C₂	#11743695	1	1	yes	characteristic
1338	C₂	#11743780	1	1	yes	characteristic
1339	C₂	D₇×#552	1	1	yes	characteristic
1340	C₂	#11744117	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2458	C₂
prime radical	C₂²×C₇×D₄	C₂³
hypercenter	#2458	D₇
hypocenter	C₇	#34866
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2458

Complements

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

N	H ≅ G/N	type
4. #11739917	C₂	semidirect
5. C₄×Q₈×Dic₇	C₂	semidirect
6. #11735259	C₂	semidirect
7. #11735186	C₂	semidirect
10. #11734251	C₂	semidirect
11. #11734250	C₂	semidirect
12. #11734223	C₂	semidirect
13. #11734223	C₂	semidirect
16. #11733080	C₂	semidirect
17. #11733025	C₂	semidirect
18. #11733008	C₂	semidirect
19. #11732978	C₂	semidirect
20. #11732900	C₂	semidirect
21. #11732900	C₂	semidirect
22. #11732896	C₂	semidirect
23. #11732896	C₂	semidirect
24. #11732556	C₂	semidirect
25. #11732516	C₂	semidirect
26. #11732388	C₂	semidirect
27. #11732388	C₂	semidirect
28. #11731926	C₂	semidirect
29. #11731823	C₂	semidirect
30. #11730967	C₂	semidirect
31. C₄×#6440	C₂	semidirect
1281. C₇	#34866	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2458	2
#11740308	2
Dic₇×#123	2
#11739917	2
C₄×Q₈×Dic₇	2
#11735259	2
#11735186	2
#11734409	2
#11734337	2
#11734251	2
#11734250	2
#11734223	2
#11733777	2
#11733734	2
#11733080	2
#11733025	2
#11733008	2
#11732978	2
#11732900	2
#11732896	2
#11732556	2
#11732516	2
#11732388	2
#11731926	2
#11731823	2
#11730967	2
C₄×#6440	2
#34866	7