Subgroups — #13561119

Order 1792.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2335	C₂	1	1	yes	maximal, characteristic, complemented
2	#11740357	C₂	1	1	yes	maximal, characteristic
3	#11740313	C₂	1	1	yes	maximal, characteristic, complemented
4	#11733912	C₂	1	1	yes	maximal, characteristic
5	#11733828	C₂	1	1	yes	maximal, characteristic, complemented
6	#11733717	C₂	1	1	yes	maximal, characteristic, complemented
7	#11733557	C₂	1	1	yes	maximal, characteristic, complemented
8	#11733383	C₂	1	1	yes	maximal, characteristic, complemented
9	#11733380	C₂	1	1	yes	maximal, characteristic, complemented
10	#11733379	C₂	1	1	yes	maximal, characteristic, complemented
11	#11733161	C₂	1	1	yes	maximal, characteristic, complemented
12	#11733159	C₂	1	1	yes	maximal, characteristic, complemented
13	#11733127	C₂	1	1	yes	maximal, characteristic, complemented
14	#11733083	C₂	1	1	yes	maximal, characteristic, complemented
15	#11732982	C₂	1	1	yes	maximal, characteristic, complemented
16	#11732837	C₂	1	1	yes	maximal, characteristic, complemented
17	#11732626	C₂	1	1	yes	maximal, characteristic, complemented
18	#11732545	C₂	1	1	yes	maximal, characteristic, complemented
19	#11732456	C₂	1	1	yes	maximal, characteristic, complemented
20	#11732369	C₂	1	1	yes	maximal, characteristic
21	#11732251	C₂	1	1	yes	maximal, characteristic, complemented
22	#11732090	C₂	1	1	yes	maximal, characteristic, complemented
23	#11732078	C₂	1	1	yes	maximal, characteristic, complemented
24	#11731494	C₂	1	1	yes	maximal, characteristic, complemented
25	#11731404	C₂	1	1	yes	maximal, characteristic, complemented
26	#11731256	C₂	1	1	yes	maximal, characteristic, complemented
27	#11731230	C₂	1	1	yes	maximal, characteristic, complemented
28	#11731038	C₂	1	1	yes	maximal, characteristic, complemented
29	#11731006	C₂	1	1	yes	maximal, characteristic, complemented
30	#11730991	C₂	1	1	yes	maximal, characteristic, complemented
31	#11730893	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₇	C₂²	1	1	yes	characteristic
33	C₂×C₇×#123	C₂²	1	1	yes	characteristic
34	C₂×#6500	C₂²	1	1	yes	characteristic
35	C₂×#6498	C₂²	1	1	yes	characteristic
36	C₂×#6492	C₂²	1	1	yes	characteristic
37	C₂×#6487	C₂²	1	1	yes	characteristic
38	C₂×#6460	C₂²	1	1	yes	characteristic
39	C₂×#6460	C₂²	1	1	yes	characteristic
40	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
41	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
42	C₂×#6439	C₂²	1	1	yes	characteristic
43	C₂×#6435	C₂²	1	1	yes	characteristic
44	C₂×#6435	C₂²	1	1	yes	characteristic
45	C₇×#390	C₂²	1	1	yes	characteristic
46	C₇×#389	C₂²	1	1	yes	characteristic, complemented
47	C₇×#388	C₂²	1	1	yes	characteristic
48	C₇×#388	C₂²	1	1	yes	characteristic
49	C₇×#388	C₂²	1	1	yes	characteristic, complemented
50	C₇×#388	C₂²	1	1	yes	characteristic, complemented
51	C₇×#387	C₂²	1	1	yes	characteristic, complemented
52	C₇×#387	C₂²	1	1	yes	characteristic, complemented
53	C₇×#386	C₂²	1	1	yes	characteristic
54	C₇×#385	C₂²	1	1	yes	characteristic, complemented
55	C₇×#380	C₂²	1	1	yes	characteristic
56	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
57	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
58	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
59	#89994	C₂²	1	1	yes	characteristic
60	#89994	C₂²	1	1	yes	characteristic
61	#89985	C₂²	1	1	yes	characteristic
62	#89984	C₂²	1	1	yes	characteristic, complemented
63	#89983	C₂²	1	1	yes	characteristic
64	#89982	C₂²	1	1	yes	characteristic, complemented
65	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
66	#89766	C₂²	1	1	yes	characteristic
67	#89766	C₂²	1	1	yes	characteristic
68	#89765	C₂²	1	1	yes	characteristic
69	#89764	C₂²	1	1	yes	characteristic
70	#89762	C₂²	1	1	yes	characteristic
71	#89762	C₂²	1	1	yes	characteristic
72	#89761	C₂²	1	1	yes	characteristic
73	#89761	C₂²	1	1	yes	characteristic
74	#89761	C₂²	1	1	yes	characteristic
75	#89761	C₂²	1	1	yes	characteristic
76	#89759	C₂²	1	1	yes	characteristic
77	#89759	C₂²	1	1	yes	characteristic
78	#89758	C₂²	1	1	yes	characteristic, complemented
79	#89756	C₂²	1	1	yes	characteristic, complemented
80	#89756	C₂²	1	1	yes	characteristic, complemented
81	#89756	C₂²	1	1	yes	characteristic, complemented
82	#89756	C₂²	1	1	yes	characteristic, complemented
83	#89756	C₂²	1	1	yes	characteristic, complemented
84	#89756	C₂²	1	1	yes	characteristic, complemented
85	#89753	C₂²	1	1	yes	characteristic, complemented
86	#89752	C₂²	1	1	yes	characteristic, complemented
87	#89752	C₂²	1	1	yes	characteristic, complemented
88	#89751	C₂²	1	1	yes	characteristic, complemented
89	#89744	C₂²	1	1	yes	characteristic, complemented
90	#89744	C₂²	1	1	yes	characteristic, complemented
91	#89733	C₂²	1	1	yes	characteristic
92	#89733	C₂²	1	1	yes	characteristic
93	#89731	C₂²	1	1	yes	characteristic
94	#89731	C₂²	1	1	yes	characteristic
95	#89729	C₂²	1	1	yes	characteristic
96	#89729	C₂²	1	1	yes	characteristic
97	#89728	C₂²	1	1	yes	characteristic
98	#89728	C₂²	1	1	yes	characteristic
99	#89728	C₂²	1	1	yes	characteristic
100	#89728	C₂²	1	1	yes	characteristic
101	#89727	C₂²	1	1	yes	characteristic
102	#89727	C₂²	1	1	yes	characteristic
103	#89727	C₂²	1	1	yes	characteristic
104	#89727	C₂²	1	1	yes	characteristic
105	#89727	C₂²	1	1	yes	characteristic
106	#89724	C₂²	1	1	yes	characteristic
107	#89724	C₂²	1	1	yes	characteristic
108	#89724	C₂²	1	1	yes	characteristic, complemented
109	#89724	C₂²	1	1	yes	characteristic, complemented
110	#89723	C₂²	1	1	yes	characteristic, complemented
111	#89722	C₂²	1	1	yes	characteristic
112	#89722	C₂²	1	1	yes	characteristic
113	#89721	C₂²	1	1	yes	characteristic
114	#89721	C₂²	1	1	yes	characteristic
115	#89721	C₂²	1	1	yes	characteristic, complemented
116	#89721	C₂²	1	1	yes	characteristic, complemented
117	#89720	C₂²	1	1	yes	characteristic
118	#89720	C₂²	1	1	yes	characteristic
119	#89720	C₂²	1	1	yes	characteristic, complemented
120	#89719	C₂²	1	1	yes	characteristic, complemented
121	#89717	C₂²	1	1	yes	characteristic
122	#89717	C₂²	1	1	yes	characteristic
123	#89717	C₂²	1	1	yes	characteristic, complemented
124	#89717	C₂²	1	1	yes	characteristic, complemented
125	#89716	C₂²	1	1	yes	characteristic
126	#89716	C₂²	1	1	yes	characteristic
127	#89715	C₂²	1	1	yes	characteristic
128	#89714	C₂²	1	1	yes	characteristic
129	#89714	C₂²	1	1	yes	characteristic
130	#89712	C₂²	1	1	yes	characteristic
131	#89712	C₂²	1	1	yes	characteristic
132	#89712	C₂²	1	1	yes	characteristic
133	#89712	C₂²	1	1	yes	characteristic
134	#89712	C₂²	1	1	yes	characteristic
135	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
136	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
137	#89709	C₂²	1	1	yes	characteristic, complemented
138	#89705	C₂²	1	1	yes	characteristic, complemented
139	#89705	C₂²	1	1	yes	characteristic, complemented
140	#89705	C₂²	1	1	yes	characteristic, complemented
141	#89705	C₂²	1	1	yes	characteristic, complemented
142	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
143	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
144	#89700	C₂²	1	1	yes	characteristic, complemented
145	#89700	C₂²	1	1	yes	characteristic, complemented
146	#89700	C₂²	1	1	yes	characteristic, complemented
147	#89448	C₂²	1	1	yes	characteristic
148	#89448	C₂²	1	1	yes	characteristic
149	#89448	C₂²	1	1	yes	characteristic
150	#89447	C₂²	1	1	yes	characteristic
151	#89447	C₂²	1	1	yes	characteristic
152	#89447	C₂²	1	1	yes	characteristic
153	#89446	C₂²	1	1	yes	characteristic
154	#89446	C₂²	1	1	yes	characteristic
155	#89442	C₂²	1	1	yes	characteristic
156	#89442	C₂²	1	1	yes	characteristic
157	#89441	C₂²	1	1	yes	characteristic
158	#89441	C₂²	1	1	yes	characteristic
159	#89440	C₂²	1	1	yes	characteristic
160	#89440	C₂²	1	1	yes	characteristic
161	#89440	C₂²	1	1	yes	characteristic
162	#89440	C₂²	1	1	yes	characteristic
163	#89439	C₂²	1	1	yes	characteristic
164	#89439	C₂²	1	1	yes	characteristic
165	#89436	C₂²	1	1	yes	characteristic
166	#89436	C₂²	1	1	yes	characteristic
167	#89432	C₂²	1	1	yes	characteristic, complemented
168	#89432	C₂²	1	1	yes	characteristic, complemented
169	#89431	C₂²	1	1	yes	characteristic, complemented
170	#89431	C₂²	1	1	yes	characteristic, complemented
171	#89430	C₂²	1	1	yes	characteristic, complemented
172	#89430	C₂²	1	1	yes	characteristic, complemented
173	#89429	C₂²	1	1	yes	characteristic, complemented
174	#89429	C₂²	1	1	yes	characteristic, complemented
175	#89426	C₂²	1	1	yes	characteristic, complemented
176	#89426	C₂²	1	1	yes	characteristic, complemented
177	#89426	C₂²	1	1	yes	characteristic, complemented
178	#89425	C₂²	1	1	yes	characteristic, complemented
179	#89425	C₂²	1	1	yes	characteristic, complemented
180	#89424	C₂²	1	1	yes	characteristic, complemented
181	#89424	C₂²	1	1	yes	characteristic, complemented
182	#89419	C₂²	1	1	yes	characteristic, complemented
183	#89419	C₂²	1	1	yes	characteristic, complemented
184	#89419	C₂²	1	1	yes	characteristic, complemented
185	#89418	C₂²	1	1	yes	characteristic, complemented
186	#89418	C₂²	1	1	yes	characteristic, complemented
187	#36736	—	7	1	no	maximal, Sylow
188	C₂⁴×D₇	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×C₄×C₇	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
194	C₂³×Dic₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₇	—	2	4	no	—
196	C₂²×C₄×D₇	—	4	2	no	—
197	C₂²×C₄×D₇	—	4	2	no	—
198	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
202	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
203	C₇×#123	—	2	4	no	—
204	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₇×C₄⋊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×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
225	C₂×C₄²×C₇	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	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
238	#6500	—	4	2	no	—
239	#6498	—	4	2	no	—
240	#6492	—	4	2	no	—
241	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
272	#6487	—	2	4	no	—
273	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
303	#6460	—	4	2	no	—
304	#6460	—	4	2	no	—
305	#6452	—	4	2	no	—
306	#6442	—	4	2	no	—
307	#6439	—	4	2	no	—
308	#6435	—	4	2	no	—
309	#6435	—	4	2	no	—
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	#2849	—	7	1	no	—
359	#2848	—	7	1	no	—
360	#2748	—	7	1	no	—
361	#2747	—	7	1	no	—
362	#2740	—	7	1	no	—
363	#2739	—	7	1	no	—
364	#2738	—	7	1	no	—
365	#2738	—	7	1	no	—
366	#2735	—	7	1	no	—
367	#2735	—	7	1	no	—
368	#2704	—	7	1	no	—
369	#2702	—	7	1	no	—
370	#2697	—	7	1	no	—
371	#2695	—	7	1	no	—
372	#2694	—	7	1	no	—
373	#2689	—	7	1	no	—
374	#2687	—	7	1	no	—
375	#2685	—	7	1	no	—
376	#2667	—	7	1	no	—
377	#2663	—	7	1	no	—
378	#2597	—	7	1	no	—
379	#2587	—	7	1	no	—
380	#2587	—	7	1	no	—
381	#2578	—	7	1	no	—
382	#2479	—	7	1	no	—
383	#2478	—	7	1	no	—
384	#2475	—	7	1	no	—
385	#2470	—	7	1	no	—
386	#2335	D₇	1	1	yes	characteristic, complemented
387	#2332	—	7	1	no	—
388	#2280	—	7	1	no	—
389	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
390	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
391	C₂³×D₇	—	2	2	no	—
392	C₂³×D₇	—	2	2	no	—
393	C₂³×D₇	—	2	2	no	—
394	C₂³×D₇	—	4	1	no	—
395	C₂³×D₇	—	4	1	no	—
396	C₂³×D₇	—	4	1	no	—
397	C₂³×D₇	—	4	1	no	—
398	C₂³×D₇	C₂⁴	1	1	yes	characteristic
399	C₂³×D₇	C₂⁴	1	1	yes	characteristic
400	C₂×C₇×D₄	—	2	2	no	—
401	C₂×C₇×D₄	—	4	1	no	—
402	C₂×C₇×D₄	—	4	1	no	—
403	C₂²×C₄×C₇	—	4	1	no	—
404	C₂²×C₄×C₇	—	4	1	no	—
405	C₂²×C₄×C₇	—	4	1	no	—
406	C₂²×C₄×C₇	—	4	1	no	—
407	C₂²×C₄×C₇	—	4	1	no	—
408	C₂²×C₄×C₇	#41	1	4	yes	—
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×C₄×C₇	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
422	C₂×C₂²⋊D₇	—	2	2	no	—
423	C₂×C₂²⋊D₇	—	2	2	no	—
424	C₂×C₂²⋊D₇	—	4	1	no	—
425	C₂×C₂²⋊D₇	—	4	1	no	—
426	C₂×C₂²⋊D₇	—	4	1	no	—
427	C₂×C₂²⋊D₇	—	4	1	no	—
428	C₂²×Dic₇	—	2	2	no	—
429	C₂²×Dic₇	—	2	2	no	—
430	C₂²×Dic₇	—	4	1	no	—
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	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
445	C₂×C₄×D₇	—	2	2	no	—
446	C₂×C₄×D₇	—	2	2	no	—
447	C₂×C₄×D₇	—	2	2	no	—
448	C₂×C₄×D₇	—	2	2	no	—
449	C₂×C₄×D₇	—	2	2	no	—
450	C₂×C₄×D₇	—	2	2	no	—
451	C₂×C₄×D₇	—	2	2	no	—
452	C₂×C₄×D₇	—	2	2	no	—
453	C₂×C₄×D₇	—	4	16	no	—
454	C₂×C₄×D₇	—	4	1	no	—
455	C₂×C₄×D₇	—	4	1	no	—
456	C₂×C₄×D₇	—	4	1	no	—
457	C₂×C₄×D₇	—	4	1	no	—
458	C₂×Dic₁₄	—	2	2	no	—
459	C₂×Dic₁₄	—	4	1	no	—
460	C₂×Dic₁₄	—	4	1	no	—
461	C₇×C₄⋊C₄	—	2	2	no	—
462	C₇×C₄⋊C₄	—	2	2	no	—
463	C₇×C₄⋊C₄	—	4	1	no	—
464	C₇×C₄⋊C₄	—	4	1	no	—
465	C₇×C₄⋊C₄	—	4	1	no	—
466	C₇×C₄⋊C₄	—	4	1	no	—
467	C₇×C₄⋊C₄	—	4	1	no	—
468	C₇×C₂²⋊C₄	—	2	2	no	—
469	C₇×C₂²⋊C₄	—	2	2	no	—
470	C₇×C₂²⋊C₄	—	2	2	no	—
471	C₇×C₂²⋊C₄	—	4	1	no	—
472	C₇×C₂²⋊C₄	—	4	1	no	—
473	C₇×C₂²⋊C₄	—	4	1	no	—
474	C₇×C₂²⋊C₄	—	4	1	no	—
475	C₇×C₂²⋊C₄	—	4	1	no	—
476	C₇×C₂²⋊C₄	—	4	1	no	—
477	C₇×C₂²⋊C₄	—	4	1	no	—
478	C₄²×C₇	—	4	1	no	—
479	C₄²×C₇	—	4	1	no	—
480	C₄²×C₇	—	4	1	no	—
481	C₄²×C₇	—	4	1	no	—
482	C₄²×C₇	—	4	1	no	—
483	C₂²⋊Dic₇	—	2	2	no	—
484	C₂²⋊Dic₇	—	2	2	no	—
485	C₂²⋊Dic₇	—	2	2	no	—
486	C₂²⋊Dic₇	—	4	1	no	—
487	C₂²⋊Dic₇	—	4	1	no	—
488	C₂²⋊Dic₇	—	4	1	no	—
489	C₂²⋊Dic₇	—	4	1	no	—
490	C₂²⋊Dic₇	—	4	1	no	—
491	C₂²⋊Dic₇	—	4	1	no	—
492	C₂²⋊Dic₇	—	4	1	no	—
493	C₂²⋊Dic₇	—	4	1	no	—
494	C₂²⋊Dic₇	—	4	1	no	—
495	(C₂×D₇)⋊C₄	—	2	2	no	—
496	(C₂×D₇)⋊C₄	—	2	2	no	—
497	(C₂×D₇)⋊C₄	—	2	2	no	—
498	(C₂×D₇)⋊C₄	—	2	2	no	—
499	(C₂×D₇)⋊C₄	—	2	2	no	—
500	(C₂×D₇)⋊C₄	—	2	2	no	—
501	(C₂×D₇)⋊C₄	—	2	2	no	—
502	(C₂×D₇)⋊C₄	—	2	2	no	—
503	(C₂×D₇)⋊C₄	—	4	1	no	—
504	(C₂×D₇)⋊C₄	—	4	1	no	—
505	(C₂×D₇)⋊C₄	—	4	1	no	—
506	(C₂×D₇)⋊C₄	—	4	1	no	—
507	(C₂×D₇)⋊C₄	—	4	1	no	—
508	(C₂×D₇)⋊C₄	—	4	1	no	—
509	(C₂×D₇)⋊C₄	—	4	1	no	—
510	(C₂×D₇)⋊C₄	—	4	1	no	—
511	(C₂×D₇)⋊C₄	—	4	1	no	—
512	(C₂×D₇)⋊C₄	—	4	1	no	—
513	(C₂×D₇)⋊C₄	—	4	1	no	—
514	(C₂×D₇)⋊C₄	—	4	1	no	—
515	(C₂×D₇)⋊C₄	—	4	1	no	—
516	(C₂×D₇)⋊C₄	—	4	1	no	—
517	C₄⋊Dic₇	—	2	2	no	—
518	C₄⋊Dic₇	—	2	2	no	—
519	C₄⋊Dic₇	—	2	2	no	—
520	C₄⋊Dic₇	—	4	1	no	—
521	C₄⋊Dic₇	—	4	1	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	Dic₇⋊C₄	—	2	2	no	—
527	Dic₇⋊C₄	—	2	2	no	—
528	Dic₇⋊C₄	—	2	2	no	—
529	Dic₇⋊C₄	—	2	2	no	—
530	Dic₇⋊C₄	—	2	2	no	—
531	Dic₇⋊C₄	—	4	1	no	—
532	Dic₇⋊C₄	—	4	1	no	—
533	Dic₇⋊C₄	—	4	1	no	—
534	Dic₇⋊C₄	—	4	1	no	—
535	Dic₇⋊C₄	—	4	1	no	—
536	Dic₇⋊C₄	—	4	1	no	—
537	Dic₇⋊C₄	—	4	1	no	—
538	Dic₇⋊C₄	—	4	1	no	—
539	Dic₇⋊C₄	—	4	1	no	—
540	Dic₇⋊C₄	—	4	1	no	—
541	Dic₇⋊C₄	—	4	1	no	—
542	Dic₇⋊C₄	—	4	1	no	—
543	Dic₇⋊C₄	—	4	1	no	—
544	Dic₇⋊C₄	—	4	1	no	—
545	Dic₇⋊C₄	—	4	1	no	—
546	Dic₇⋊C₄	—	4	1	no	—
547	Dic₇⋊C₄	—	4	1	no	—
548	Dic₇⋊C₄	—	4	1	no	—
549	Dic₇⋊C₄	—	4	1	no	—
550	C₄×Dic₇	—	4	1	no	—
551	C₄×Dic₇	—	4	1	no	—
552	C₄×Dic₇	—	4	1	no	—
553	C₄×Dic₇	—	4	1	no	—
554	C₄×Dic₇	—	4	1	no	—
555	C₄×Dic₇	—	4	1	no	—
556	C₂⁴×C₄	—	7	1	no	—
557	C₂×#126	—	7	1	no	—
558	C₂×#126	—	7	1	no	—
559	C₂×#125	—	7	1	no	—
560	C₂×#123	—	7	1	no	—
561	C₂×#123	—	7	1	no	—
562	C₂×#123	C₂×D₇	1	1	yes	characteristic
563	C₂×C₂²⋊Q₈	—	7	1	no	—
564	C₂×C₂²⋊Q₈	—	7	1	no	—
565	C₂×C₂²⋊Q₈	—	7	1	no	—
566	C₂×#120	—	7	1	no	—
567	C₂×#117	—	7	1	no	—
568	C₂×#117	—	7	1	no	—
569	#400	—	7	1	no	—
570	#400	—	7	1	no	—
571	#400	—	7	1	no	—
572	#400	—	7	1	no	—
573	#400	—	7	1	no	—
574	#400	—	7	1	no	—
575	#400	—	7	1	no	—
576	#399	—	7	1	no	—
577	#399	—	7	1	no	—
578	#399	—	7	1	no	—
579	#399	—	7	1	no	—
580	#399	—	7	1	no	—
581	#398	—	7	1	no	—
582	#398	—	7	1	no	—
583	#398	—	7	1	no	—
584	#398	—	7	1	no	—
585	#398	—	7	1	no	—
586	#398	—	7	1	no	—
587	#398	—	7	1	no	—
588	#398	—	7	1	no	—
589	#398	—	7	1	no	—
590	#398	—	7	1	no	—
591	#397	—	7	1	no	—
592	#397	—	7	1	no	—
593	#397	—	7	1	no	—
594	#397	—	7	1	no	—
595	#397	—	7	1	no	—
596	#397	—	7	1	no	—
597	#397	—	7	1	no	—
598	#397	—	7	1	no	—
599	#397	—	7	1	no	—
600	#397	—	7	1	no	—
601	#396	—	7	1	no	—
602	#396	—	7	1	no	—
603	#396	—	7	1	no	—
604	#396	—	7	1	no	—
605	#396	—	7	1	no	—
606	#396	—	7	1	no	—
607	#396	—	7	1	no	—
608	#396	—	7	1	no	—
609	#395	—	7	1	no	—
610	#394	—	7	1	no	—
611	#394	—	7	1	no	—
612	#394	—	7	1	no	—
613	#394	—	7	1	no	—
614	#394	—	7	1	no	—
615	#394	—	7	1	no	—
616	#393	—	7	1	no	—
617	#391	—	7	1	no	—
618	#391	—	7	1	no	—
619	#390	—	7	1	no	—
620	#390	—	7	1	no	—
621	#390	C₂×D₇	1	1	yes	characteristic
622	#389	—	7	1	no	—
623	#389	—	7	1	no	—
624	#389	—	7	1	no	—
625	#389	—	7	1	no	—
626	#389	—	7	1	no	—
627	#389	—	7	1	no	—
628	#389	—	7	1	no	—
629	#389	—	7	1	no	—
630	#389	C₂×D₇	1	1	yes	characteristic, complemented
631	#388	—	7	1	no	—
632	#388	—	7	1	no	—
633	#388	—	7	1	no	—
634	#388	—	7	1	no	—
635	#388	—	7	1	no	—
636	#388	—	7	1	no	—
637	#388	—	7	1	no	—
638	#388	—	7	1	no	—
639	#388	—	7	1	no	—
640	#388	—	7	1	no	—
641	#388	—	7	1	no	—
642	#388	—	7	1	no	—
643	#388	—	7	1	no	—
644	#388	—	7	1	no	—
645	#388	—	7	1	no	—
646	#388	—	7	1	no	—
647	#388	—	7	1	no	—
648	#388	—	7	1	no	—
649	#388	C₂×D₇	1	1	yes	characteristic
650	#388	C₂×D₇	1	1	yes	characteristic
651	#388	C₂×D₇	1	1	yes	characteristic, complemented
652	#388	C₂×D₇	1	1	yes	characteristic, complemented
653	#387	—	7	1	no	—
654	#387	—	7	1	no	—
655	#387	—	7	1	no	—
656	#387	—	7	1	no	—
657	#387	—	7	1	no	—
658	#387	—	7	1	no	—
659	#387	—	7	1	no	—
660	#387	—	7	1	no	—
661	#387	—	7	1	no	—
662	#387	—	7	1	no	—
663	#387	—	7	1	no	—
664	#387	—	7	1	no	—
665	#387	C₂×D₇	1	1	yes	characteristic, complemented
666	#387	C₂×D₇	1	1	yes	characteristic, complemented
667	#386	—	7	1	no	—
668	#386	—	7	1	no	—
669	#386	—	7	1	no	—
670	#386	—	7	1	no	—
671	#386	—	7	1	no	—
672	#386	C₂×D₇	1	1	yes	characteristic
673	#385	—	7	1	no	—
674	#385	—	7	1	no	—
675	#385	—	7	1	no	—
676	#385	—	7	1	no	—
677	#385	—	7	1	no	—
678	#385	—	7	1	no	—
679	#385	—	7	1	no	—
680	#385	—	7	1	no	—
681	#385	—	7	1	no	—
682	#385	—	7	1	no	—
683	#385	—	7	1	no	—
684	#385	C₂×D₇	1	1	yes	characteristic, complemented
685	#383	—	7	1	no	—
686	#381	—	7	1	no	—
687	#381	—	7	1	no	—
688	#381	—	7	1	no	—
689	#381	—	7	1	no	—
690	#380	—	7	1	no	—
691	#380	—	7	1	no	—
692	#380	—	7	1	no	—
693	#380	—	7	1	no	—
694	#380	—	7	1	no	—
695	#380	—	7	1	no	—
696	#380	—	7	1	no	—
697	#380	C₂×D₇	1	1	yes	characteristic
698	#379	—	7	1	no	—
699	#379	—	7	1	no	—
700	#379	—	7	1	no	—
701	#379	—	7	1	no	—
702	#379	—	7	1	no	—
703	C₄×C₄⋊C₄	—	7	1	no	—
704	C₄×C₄⋊C₄	—	7	1	no	—
705	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic, complemented
706	C₄×C₂²⋊C₄	—	7	1	no	—
707	C₄×C₂²⋊C₄	—	7	1	no	—
708	C₄×C₂²⋊C₄	—	7	1	no	—
709	C₄×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic
710	C₄×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic, complemented
711	C₂³×C₇	—	2	1	no	—
712	C₂³×C₇	—	2	1	no	—
713	C₂³×C₇	—	2	1	no	—
714	C₂³×C₇	—	2	1	no	—
715	C₂³×C₇	—	2	1	no	—
716	C₂³×C₇	—	2	1	no	—
717	C₂³×C₇	—	2	1	no	—
718	C₂³×C₇	—	2	1	no	—
719	C₂³×C₇	—	2	1	no	—
720	C₂³×C₇	—	2	1	no	—
721	C₂³×C₇	—	2	1	no	—
722	C₂³×C₇	—	2	1	no	—
723	C₂³×C₇	—	2	1	no	—
724	C₂³×C₇	C₂×#41	1	2	yes	—
725	C₂³×C₇	C₂⁵	1	1	yes	characteristic
726	C₂²×D₇	—	2	1	no	—
727	C₂²×D₇	—	2	1	no	—
728	C₂²×D₇	—	2	1	no	—
729	C₂²×D₇	—	2	1	no	—
730	C₂²×D₇	—	2	1	no	—
731	C₂²×D₇	—	2	1	no	—
732	C₂²×D₇	—	2	1	no	—
733	C₂²×D₇	—	2	1	no	—
734	C₂²×D₇	—	2	1	no	—
735	C₂²×D₇	—	2	1	no	—
736	C₂²×D₇	—	2	1	no	—
737	C₂²×D₇	—	2	1	no	—
738	C₂²×D₇	—	4	4	no	—
739	C₂²×D₇	—	4	4	no	—
740	C₂²×D₇	—	4	4	no	—
741	C₂²×D₇	—	4	4	no	—
742	C₂²×D₇	—	4	4	no	—
743	C₂²×D₇	—	4	4	no	—
744	C₂²×D₇	—	4	4	no	—
745	C₂²×D₇	H(5,𝔽₂)	1	2	yes	—
746	C₂²×D₇	2₋¹⁺⁴	1	2	yes	—
747	C₇×D₄	—	8	2	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	—	2	1	no	—
757	C₂×C₄×C₇	—	2	1	no	—
758	C₂×C₄×C₇	—	2	1	no	—
759	C₂×C₄×C₇	—	2	1	no	—
760	C₂×C₄×C₇	—	2	1	no	—
761	C₂×C₄×C₇	—	2	1	no	—
762	C₂×C₄×C₇	—	2	1	no	—
763	C₂×C₄×C₇	—	2	1	no	—
764	C₂×C₄×C₇	—	2	1	no	—
765	C₂×C₄×C₇	—	2	1	no	—
766	C₂×C₄×C₇	—	2	1	no	—
767	C₂×C₄×C₇	—	2	1	no	—
768	C₂×C₄×C₇	—	2	1	no	—
769	C₂×C₄×C₇	—	2	1	no	—
770	C₂×C₄×C₇	—	2	1	no	—
771	C₂×C₄×C₇	—	2	1	no	—
772	C₂×C₄×C₇	—	2	1	no	—
773	C₂×C₄×C₇	—	2	1	no	—
774	C₂×C₄×C₇	—	2	1	no	—
775	C₂×C₄×C₇	—	2	1	no	—
776	C₂×C₄×C₇	—	2	1	no	—
777	C₂×C₄×C₇	—	2	1	no	—
778	C₂×C₄×C₇	—	2	1	no	—
779	C₂×C₄×C₇	—	2	1	no	—
780	C₂×C₄×C₇	—	2	1	no	—
781	C₂×C₄×C₇	—	2	1	no	—
782	C₂×C₄×C₇	—	2	1	no	—
783	C₂×C₄×C₇	—	2	1	no	—
784	C₂×C₄×C₇	—	2	1	no	—
785	C₂×C₄×C₇	—	4	4	no	—
786	C₂×C₄×C₇	—	8	2	no	—
787	C₂×C₄×C₇	C₂×#41	1	2	yes	—
788	C₂×C₄×C₇	C₂×#41	1	2	yes	—
789	C₂²⋊D₇	—	8	2	no	—
790	C₂²⋊D₇	—	8	2	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	—	2	1	no	—
798	C₂×Dic₇	—	2	1	no	—
799	C₂×Dic₇	—	2	1	no	—
800	C₂×Dic₇	—	2	1	no	—
801	C₂×Dic₇	—	2	1	no	—
802	C₂×Dic₇	—	2	1	no	—
803	C₂×Dic₇	—	2	1	no	—
804	C₂×Dic₇	—	2	1	no	—
805	C₂×Dic₇	—	2	1	no	—
806	C₂×Dic₇	—	2	1	no	—
807	C₂×Dic₇	—	2	1	no	—
808	C₂×Dic₇	—	2	1	no	—
809	C₂×Dic₇	—	2	1	no	—
810	C₂×Dic₇	—	2	1	no	—
811	C₂×Dic₇	—	2	1	no	—
812	C₂×Dic₇	—	2	1	no	—
813	C₂×Dic₇	—	2	1	no	—
814	C₂×Dic₇	—	2	1	no	—
815	C₂×Dic₇	—	2	1	no	—
816	C₂×Dic₇	—	2	1	no	—
817	C₂×Dic₇	—	2	1	no	—
818	C₂×Dic₇	—	2	1	no	—
819	C₂×Dic₇	—	2	1	no	—
820	C₂×Dic₇	—	2	1	no	—
821	C₂×Dic₇	—	2	1	no	—
822	C₂×Dic₇	—	2	1	no	—
823	C₂×Dic₇	—	2	1	no	—
824	C₂×Dic₇	—	2	1	no	—
825	C₂×Dic₇	—	2	1	no	—
826	C₂×Dic₇	—	2	1	no	—
827	C₂×Dic₇	—	2	1	no	—
828	C₂×Dic₇	—	2	1	no	—
829	C₂×Dic₇	—	2	1	no	—
830	C₂×Dic₇	—	2	1	no	—
831	C₂×Dic₇	—	2	1	no	—
832	C₂×Dic₇	—	4	4	no	—
833	C₂×Dic₇	H(5,𝔽₂)	1	2	yes	—
834	C₄×D₇	—	2	8	no	—
835	C₄×D₇	—	4	4	no	—
836	C₄×D₇	—	4	4	no	—
837	C₄×D₇	—	4	4	no	—
838	Dic₁₄	—	8	2	no	—
839	C₂⁵	—	7	1	no	—
840	C₂²×Q₈	—	7	1	no	—
841	C₂²×D₄	—	7	1	no	—
842	C₂²×D₄	—	7	1	no	—
843	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
844	C₂³×C₄	—	7	1	no	—
845	C₂³×C₄	—	7	1	no	—
846	C₂³×C₄	—	7	1	no	—
847	C₂³×C₄	—	7	1	no	—
848	C₂³×C₄	—	7	1	no	—
849	C₂³×C₄	—	14	4	no	—
850	C₂³×C₄	—	28	2	no	—
851	C₂³×C₄	—	28	2	no	—
852	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
853	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
854	#126	—	28	2	no	—
855	#126	—	28	2	no	—
856	#125	—	28	2	no	—
857	#123	—	2	4	no	—
858	#123	—	28	2	no	—
859	#123	—	28	2	no	—
860	C₂²⋊Q₈	—	14	4	no	—
861	C₂²⋊Q₈	—	28	2	no	—
862	C₂²⋊Q₈	—	28	2	no	—
863	#120	—	28	2	no	—
864	#117	—	28	2	no	—
865	#117	—	28	2	no	—
866	C₂×C₄⋊C₄	—	7	1	no	—
867	C₂×C₄⋊C₄	—	7	1	no	—
868	C₂×C₄⋊C₄	—	7	1	no	—
869	C₂×C₄⋊C₄	—	7	1	no	—
870	C₂×C₄⋊C₄	—	7	1	no	—
871	C₂×C₄⋊C₄	—	7	1	no	—
872	C₂×C₄⋊C₄	—	7	1	no	—
873	C₂×C₄⋊C₄	—	7	1	no	—
874	C₂×C₄⋊C₄	—	7	1	no	—
875	C₂×C₄⋊C₄	—	7	1	no	—
876	C₂×C₄⋊C₄	—	7	1	no	—
877	C₂×C₄⋊C₄	—	7	1	no	—
878	C₂×C₄⋊C₄	—	7	1	no	—
879	C₂×C₄⋊C₄	—	7	1	no	—
880	C₂×C₄⋊C₄	—	7	1	no	—
881	C₂×C₄⋊C₄	—	7	1	no	—
882	C₂×C₄⋊C₄	—	7	1	no	—
883	C₂×C₄⋊C₄	—	7	1	no	—
884	C₂×C₄⋊C₄	—	7	1	no	—
885	C₂×C₄⋊C₄	—	7	1	no	—
886	C₂×C₄⋊C₄	—	7	1	no	—
887	C₂×C₄⋊C₄	—	7	1	no	—
888	C₂×C₄⋊C₄	—	7	1	no	—
889	C₂×C₄⋊C₄	—	7	1	no	—
890	C₂×C₄⋊C₄	—	7	1	no	—
891	C₂×C₄⋊C₄	—	7	1	no	—
892	C₂×C₄⋊C₄	—	7	1	no	—
893	C₂×C₄⋊C₄	—	7	1	no	—
894	C₂×C₄⋊C₄	—	7	1	no	—
895	C₂×C₄⋊C₄	—	7	1	no	—
896	C₂×C₄⋊C₄	—	7	1	no	—
897	C₂×C₄⋊C₄	—	7	1	no	—
898	C₂×C₄⋊C₄	—	7	1	no	—
899	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
906	C₂×C₂²⋊C₄	—	7	1	no	—
907	C₂×C₂²⋊C₄	—	7	1	no	—
908	C₂×C₂²⋊C₄	—	7	1	no	—
909	C₂×C₂²⋊C₄	—	7	1	no	—
910	C₂×C₂²⋊C₄	—	7	1	no	—
911	C₂×C₂²⋊C₄	—	7	1	no	—
912	C₂×C₂²⋊C₄	—	7	1	no	—
913	C₂×C₂²⋊C₄	—	7	1	no	—
914	C₂×C₂²⋊C₄	—	7	1	no	—
915	C₂×C₂²⋊C₄	—	7	1	no	—
916	C₂×C₂²⋊C₄	—	7	1	no	—
917	C₂×C₂²⋊C₄	—	7	1	no	—
918	C₂×C₂²⋊C₄	—	7	1	no	—
919	C₂×C₂²⋊C₄	—	7	1	no	—
920	C₂×C₂²⋊C₄	—	7	1	no	—
921	C₂×C₂²⋊C₄	—	7	1	no	—
922	C₂×C₂²⋊C₄	—	7	1	no	—
923	C₂×C₂²⋊C₄	—	7	1	no	—
924	C₂×C₂²⋊C₄	—	7	1	no	—
925	C₂×C₂²⋊C₄	—	7	1	no	—
926	C₂×C₂²⋊C₄	—	7	1	no	—
927	C₂×C₂²⋊C₄	—	7	1	no	—
928	C₂×C₂²⋊C₄	—	7	1	no	—
929	C₂×C₂²⋊C₄	—	7	1	no	—
930	C₂×C₂²⋊C₄	—	7	1	no	—
931	C₂×C₂²⋊C₄	—	7	1	no	—
932	C₂×C₂²⋊C₄	—	7	1	no	—
933	C₂×C₂²⋊C₄	—	7	1	no	—
934	C₂×C₂²⋊C₄	—	7	1	no	—
935	C₂×C₂²⋊C₄	—	7	1	no	—
936	C₂×C₂²⋊C₄	—	7	1	no	—
937	C₂×C₂²⋊C₄	—	7	1	no	—
938	C₂×C₂²⋊C₄	—	7	1	no	—
939	C₂×C₂²⋊C₄	—	7	1	no	—
940	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
941	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
942	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
947	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
948	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
949	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
950	C₂×C₄²	—	7	1	no	—
951	C₂×C₄²	—	7	1	no	—
952	C₂×C₄²	—	7	1	no	—
953	C₂×C₄²	—	7	1	no	—
954	C₂×C₄²	—	7	1	no	—
955	C₂×C₄²	—	7	1	no	—
956	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
957	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
958	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
959	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
960	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
961	#95	—	7	1	no	—
962	#95	—	7	1	no	—
963	#95	—	7	1	no	—
964	#95	—	7	1	no	—
965	#95	—	7	1	no	—
966	#95	—	7	1	no	—
967	#95	—	7	1	no	—
968	#95	—	7	1	no	—
969	#95	—	7	1	no	—
970	#95	—	7	1	no	—
971	#95	—	7	1	no	—
972	#95	—	7	1	no	—
973	#95	—	7	1	no	—
974	#95	—	7	1	no	—
975	#95	—	7	1	no	—
976	#95	—	7	1	no	—
977	#95	—	7	1	no	—
978	#95	—	7	1	no	—
979	#95	—	7	1	no	—
980	#95	—	7	1	no	—
981	#95	—	7	1	no	—
982	#95	—	7	1	no	—
983	#95	—	7	1	no	—
984	#95	—	7	1	no	—
985	#95	—	7	1	no	—
986	#95	—	7	1	no	—
987	#95	—	7	1	no	—
988	#95	—	7	1	no	—
989	#95	—	7	1	no	—
990	#95	—	7	1	no	—
991	#95	—	7	1	no	—
992	#95	—	7	1	no	—
993	#95	—	7	1	no	—
994	#95	—	7	1	no	—
995	#95	—	7	1	no	—
996	#95	—	7	1	no	—
997	#95	—	7	1	no	—
998	#95	—	7	1	no	—
999	#95	C₂²×D₇	1	1	yes	characteristic
1000	#95	C₂²×D₇	1	1	yes	characteristic
1001	#95	C₂²×D₇	1	1	yes	characteristic
1002	#95	C₂²×D₇	1	1	yes	characteristic
1003	#95	C₂²×D₇	1	1	yes	characteristic
1004	#95	C₂²×D₇	1	1	yes	characteristic
1005	#95	C₂²×D₇	1	1	yes	characteristic
1006	#95	C₂²×D₇	1	1	yes	characteristic
1007	#95	C₂²×D₇	1	1	yes	characteristic
1008	#95	C₂²×D₇	1	1	yes	characteristic
1009	C₂²×C₇	—	2	2	no	—
1010	C₂²×C₇	—	2	2	no	—
1011	C₂²×C₇	—	2	2	no	—
1012	C₂²×C₇	—	4	1	no	—
1013	C₂²×C₇	—	4	1	no	—
1014	C₂²×C₇	—	4	1	no	—
1015	C₂²×C₇	—	4	1	no	—
1016	C₂²×C₇	—	4	1	no	—
1017	C₂²×C₇	—	4	1	no	—
1018	C₂²×C₇	—	4	1	no	—
1019	C₂²×C₇	—	4	1	no	—
1020	C₂²×C₇	—	4	1	no	—
1021	C₂²×C₇	—	4	1	no	—
1022	C₂²×C₇	—	4	1	no	—
1023	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1024	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1025	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1026	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1027	C₂²×C₇	#585	1	1	yes	characteristic
1028	C₂²×C₇	#585	1	1	yes	characteristic
1029	C₂²×C₇	#585	1	1	yes	characteristic
1030	C₂×D₇	—	2	2	no	—
1031	C₂×D₇	—	2	2	no	—
1032	C₂×D₇	—	2	2	no	—
1033	C₂×D₇	—	2	2	no	—
1034	C₂×D₇	—	2	2	no	—
1035	C₂×D₇	—	2	2	no	—
1036	C₂×D₇	—	4	16	no	—
1037	C₂×D₇	—	4	1	no	—
1038	C₂×D₇	—	4	1	no	—
1039	C₂×D₇	—	4	1	no	—
1040	C₂×D₇	—	4	1	no	—
1041	C₂×D₇	—	4	1	no	—
1042	C₂×D₇	—	4	1	no	—
1043	C₂×D₇	—	4	1	no	—
1044	C₂×D₇	—	4	1	no	—
1045	C₄×C₇	—	2	2	no	—
1046	C₄×C₇	—	2	2	no	—
1047	C₄×C₇	—	4	1	no	—
1048	C₄×C₇	—	4	1	no	—
1049	C₄×C₇	—	4	1	no	—
1050	C₄×C₇	—	4	1	no	—
1051	C₄×C₇	—	4	1	no	—
1052	C₄×C₇	—	4	1	no	—
1053	C₄×C₇	—	4	1	no	—
1054	C₄×C₇	—	4	1	no	—
1055	C₄×C₇	—	4	1	no	—
1056	C₄×C₇	—	4	1	no	—
1057	C₄×C₇	—	4	1	no	—
1058	Dic₇	—	2	2	no	—
1059	Dic₇	—	4	1	no	—
1060	Dic₇	—	4	1	no	—
1061	Dic₇	—	4	1	no	—
1062	Dic₇	—	4	1	no	—
1063	Dic₇	—	4	1	no	—
1064	Dic₇	—	4	1	no	—
1065	Dic₇	—	4	1	no	—
1066	Dic₇	—	4	1	no	—
1067	Dic₇	—	4	1	no	—
1068	Dic₇	—	4	1	no	—
1069	Dic₇	—	4	1	no	—
1070	Dic₇	—	4	1	no	—
1071	Dic₇	—	4	1	no	—
1072	C₂⁴	—	7	1	no	—
1073	C₂⁴	—	7	1	no	—
1074	C₂⁴	—	14	2	no	—
1075	C₂⁴	—	14	2	no	—
1076	C₂⁴	—	14	2	no	—
1077	C₂⁴	—	28	1	no	—
1078	C₂⁴	—	28	1	no	—
1079	C₂⁴	—	28	1	no	—
1080	C₂⁴	—	28	1	no	—
1081	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1082	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1083	C₂×Q₈	—	14	2	no	—
1084	C₂×Q₈	—	28	1	no	—
1085	C₂×Q₈	—	28	1	no	—
1086	C₂×D₄	—	2	2	no	—
1087	C₂×D₄	—	4	1	no	—
1088	C₂×D₄	—	4	1	no	—
1089	C₂×D₄	—	14	2	no	—
1090	C₂×D₄	—	14	2	no	—
1091	C₂×D₄	—	28	1	no	—
1092	C₂×D₄	—	28	1	no	—
1093	C₂×D₄	—	28	1	no	—
1094	C₂×D₄	—	28	1	no	—
1095	C₂²×C₄	—	4	1	no	—
1096	C₂²×C₄	—	4	1	no	—
1097	C₂²×C₄	—	4	1	no	—
1098	C₂²×C₄	—	4	1	no	—
1099	C₂²×C₄	—	4	1	no	—
1100	C₂²×C₄	—	7	1	no	—
1101	C₂²×C₄	—	7	1	no	—
1102	C₂²×C₄	—	7	1	no	—
1103	C₂²×C₄	—	7	1	no	—
1104	C₂²×C₄	—	7	1	no	—
1105	C₂²×C₄	—	7	1	no	—
1106	C₂²×C₄	—	7	1	no	—
1107	C₂²×C₄	—	7	1	no	—
1108	C₂²×C₄	—	7	1	no	—
1109	C₂²×C₄	—	7	1	no	—
1110	C₂²×C₄	—	7	1	no	—
1111	C₂²×C₄	—	7	1	no	—
1112	C₂²×C₄	—	7	1	no	—
1113	C₂²×C₄	—	7	1	no	—
1114	C₂²×C₄	—	14	2	no	—
1115	C₂²×C₄	—	14	2	no	—
1116	C₂²×C₄	—	14	2	no	—
1117	C₂²×C₄	—	14	2	no	—
1118	C₂²×C₄	—	14	2	no	—
1119	C₂²×C₄	—	14	2	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	—	28	1	no	—
1125	C₂²×C₄	—	28	1	no	—
1126	C₂²×C₄	—	28	1	no	—
1127	C₂²×C₄	—	28	1	no	—
1128	C₂²×C₄	—	28	16	no	—
1129	C₂²×C₄	—	28	1	no	—
1130	C₂²×C₄	#1157	1	4	yes	—
1131	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1132	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1133	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1134	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1135	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1136	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1137	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1138	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1139	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1140	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1141	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1142	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1143	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1144	C₄⋊C₄	—	2	2	no	—
1145	C₄⋊C₄	—	2	2	no	—
1146	C₄⋊C₄	—	4	1	no	—
1147	C₄⋊C₄	—	4	1	no	—
1148	C₄⋊C₄	—	4	1	no	—
1149	C₄⋊C₄	—	4	1	no	—
1150	C₄⋊C₄	—	4	1	no	—
1151	C₄⋊C₄	—	14	2	no	—
1152	C₄⋊C₄	—	14	2	no	—
1153	C₄⋊C₄	—	14	2	no	—
1154	C₄⋊C₄	—	14	2	no	—
1155	C₄⋊C₄	—	14	2	no	—
1156	C₄⋊C₄	—	14	2	no	—
1157	C₄⋊C₄	—	14	2	no	—
1158	C₄⋊C₄	—	14	2	no	—
1159	C₄⋊C₄	—	28	1	no	—
1160	C₄⋊C₄	—	28	1	no	—
1161	C₄⋊C₄	—	28	1	no	—
1162	C₄⋊C₄	—	28	1	no	—
1163	C₄⋊C₄	—	28	1	no	—
1164	C₄⋊C₄	—	28	1	no	—
1165	C₄⋊C₄	—	28	1	no	—
1166	C₄⋊C₄	—	28	1	no	—
1167	C₄⋊C₄	—	28	1	no	—
1168	C₄⋊C₄	—	28	1	no	—
1169	C₄⋊C₄	—	28	1	no	—
1170	C₄⋊C₄	—	28	1	no	—
1171	C₄⋊C₄	—	28	1	no	—
1172	C₄⋊C₄	—	28	1	no	—
1173	C₄⋊C₄	—	28	1	no	—
1174	C₄⋊C₄	—	28	1	no	—
1175	C₄⋊C₄	—	28	1	no	—
1176	C₄⋊C₄	—	28	1	no	—
1177	C₄⋊C₄	—	28	1	no	—
1178	C₄⋊C₄	—	28	1	no	—
1179	C₄⋊C₄	—	28	1	no	—
1180	C₄⋊C₄	—	28	1	no	—
1181	C₄⋊C₄	—	28	1	no	—
1182	C₄⋊C₄	—	28	1	no	—
1183	C₄⋊C₄	—	28	1	no	—
1184	C₂²⋊C₄	—	2	2	no	—
1185	C₂²⋊C₄	—	2	2	no	—
1186	C₂²⋊C₄	—	2	2	no	—
1187	C₂²⋊C₄	—	4	1	no	—
1188	C₂²⋊C₄	—	4	1	no	—
1189	C₂²⋊C₄	—	4	1	no	—
1190	C₂²⋊C₄	—	4	1	no	—
1191	C₂²⋊C₄	—	4	1	no	—
1192	C₂²⋊C₄	—	4	1	no	—
1193	C₂²⋊C₄	—	4	1	no	—
1194	C₂²⋊C₄	—	14	2	no	—
1195	C₂²⋊C₄	—	14	2	no	—
1196	C₂²⋊C₄	—	14	2	no	—
1197	C₂²⋊C₄	—	14	2	no	—
1198	C₂²⋊C₄	—	14	2	no	—
1199	C₂²⋊C₄	—	14	2	no	—
1200	C₂²⋊C₄	—	14	2	no	—
1201	C₂²⋊C₄	—	14	2	no	—
1202	C₂²⋊C₄	—	14	2	no	—
1203	C₂²⋊C₄	—	14	2	no	—
1204	C₂²⋊C₄	—	14	2	no	—
1205	C₂²⋊C₄	—	28	1	no	—
1206	C₂²⋊C₄	—	28	1	no	—
1207	C₂²⋊C₄	—	28	1	no	—
1208	C₂²⋊C₄	—	28	1	no	—
1209	C₂²⋊C₄	—	28	1	no	—
1210	C₂²⋊C₄	—	28	1	no	—
1211	C₂²⋊C₄	—	28	1	no	—
1212	C₂²⋊C₄	—	28	1	no	—
1213	C₂²⋊C₄	—	28	1	no	—
1214	C₂²⋊C₄	—	28	1	no	—
1215	C₂²⋊C₄	—	28	1	no	—
1216	C₂²⋊C₄	—	28	1	no	—
1217	C₂²⋊C₄	—	28	1	no	—
1218	C₂²⋊C₄	—	28	1	no	—
1219	C₂²⋊C₄	—	28	1	no	—
1220	C₂²⋊C₄	—	28	1	no	—
1221	C₂²⋊C₄	—	28	1	no	—
1222	C₂²⋊C₄	—	28	1	no	—
1223	C₂²⋊C₄	—	28	1	no	—
1224	C₂²⋊C₄	—	28	1	no	—
1225	C₂²⋊C₄	—	28	1	no	—
1226	C₂²⋊C₄	—	28	1	no	—
1227	C₂²⋊C₄	—	28	1	no	—
1228	C₄²	—	4	1	no	—
1229	C₄²	—	4	1	no	—
1230	C₄²	—	4	1	no	—
1231	C₄²	—	4	1	no	—
1232	C₄²	—	4	1	no	—
1233	C₄²	—	28	1	no	—
1234	C₄²	—	28	1	no	—
1235	C₄²	—	28	1	no	—
1236	C₄²	—	28	1	no	—
1237	C₄²	—	28	1	no	—
1238	C₄²	—	28	1	no	—
1239	C₂×C₇	—	4	2	no	—
1240	C₂×C₇	—	8	1	no	—
1241	C₂×C₇	#3455	1	1	yes	characteristic
1242	C₂×C₇	#3490	1	1	yes	characteristic
1243	C₂×C₇	#3495	1	1	yes	characteristic
1244	C₂×C₇	#3533	1	1	yes	characteristic
1245	C₂×C₇	#3535	1	1	yes	characteristic
1246	C₂×C₇	#3539	1	1	yes	characteristic
1247	C₂×C₇	#3541	1	1	yes	characteristic
1248	D₇	—	4	2	no	—
1249	D₇	—	4	2	no	—
1250	C₂³	—	2	1	no	—
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	7	2	no	—
1264	C₂³	—	7	2	no	—
1265	C₂³	—	14	1	no	—
1266	C₂³	—	14	1	no	—
1267	C₂³	—	14	1	no	—
1268	C₂³	—	14	1	no	—
1269	C₂³	—	14	1	no	—
1270	C₂³	—	14	1	no	—
1271	C₂³	—	14	1	no	—
1272	C₂³	—	14	1	no	—
1273	C₂³	—	14	1	no	—
1274	C₂³	—	14	1	no	—
1275	C₂³	—	14	1	no	—
1276	C₂³	—	14	1	no	—
1277	C₂³	—	28	4	no	—
1278	C₂³	—	28	4	no	—
1279	C₂³	—	28	4	no	—
1280	C₂³	—	28	4	no	—
1281	C₂³	—	28	4	no	—
1282	C₂³	—	28	4	no	—
1283	C₂³	—	28	4	no	—
1284	C₂³	C₂×#1157	1	2	yes	—
1285	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1286	Q₈	—	56	2	no	—
1287	D₄	—	8	2	no	—
1288	D₄	—	56	2	no	—
1289	D₄	—	56	2	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	4	4	no	—
1328	C₂×C₄	—	7	2	no	—
1329	C₂×C₄	—	8	2	no	—
1330	C₂×C₄	—	14	8	no	—
1331	C₂×C₄	—	14	1	no	—
1332	C₂×C₄	—	14	1	no	—
1333	C₂×C₄	—	14	1	no	—
1334	C₂×C₄	—	14	1	no	—
1335	C₂×C₄	—	14	1	no	—
1336	C₂×C₄	—	14	1	no	—
1337	C₂×C₄	—	14	1	no	—
1338	C₂×C₄	—	14	1	no	—
1339	C₂×C₄	—	14	1	no	—
1340	C₂×C₄	—	14	1	no	—
1341	C₂×C₄	—	14	1	no	—
1342	C₂×C₄	—	14	1	no	—
1343	C₂×C₄	—	14	1	no	—
1344	C₂×C₄	—	14	1	no	—
1345	C₂×C₄	—	14	1	no	—
1346	C₂×C₄	—	14	1	no	—
1347	C₂×C₄	—	14	1	no	—
1348	C₂×C₄	—	14	1	no	—
1349	C₂×C₄	—	14	1	no	—
1350	C₂×C₄	—	14	1	no	—
1351	C₂×C₄	—	14	1	no	—
1352	C₂×C₄	—	14	1	no	—
1353	C₂×C₄	—	14	1	no	—
1354	C₂×C₄	—	14	1	no	—
1355	C₂×C₄	—	14	1	no	—
1356	C₂×C₄	—	14	1	no	—
1357	C₂×C₄	—	14	1	no	—
1358	C₂×C₄	—	14	1	no	—
1359	C₂×C₄	—	14	1	no	—
1360	C₂×C₄	—	14	1	no	—
1361	C₂×C₄	—	14	1	no	—
1362	C₂×C₄	—	14	1	no	—
1363	C₂×C₄	—	14	1	no	—
1364	C₂×C₄	—	14	1	no	—
1365	C₂×C₄	—	14	1	no	—
1366	C₂×C₄	—	14	1	no	—
1367	C₂×C₄	—	14	1	no	—
1368	C₂×C₄	—	14	1	no	—
1369	C₂×C₄	—	14	1	no	—
1370	C₂×C₄	—	14	1	no	—
1371	C₂×C₄	—	14	1	no	—
1372	C₂×C₄	—	28	4	no	—
1373	C₂×C₄	—	28	4	no	—
1374	C₂×C₄	—	28	4	no	—
1375	C₂×C₄	—	28	4	no	—
1376	C₂×C₄	C₂×#1157	1	2	yes	—
1377	C₂×C₄	C₂×#1157	1	2	yes	—
1378	C₇	#36736	1	1	yes	characteristic, complemented, Sylow
1379	C₂²	—	2	2	no	—
1380	C₂²	—	2	2	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	4	1	no	—
1383	C₂²	—	4	1	no	—
1384	C₂²	—	4	1	no	—
1385	C₂²	—	4	1	no	—
1386	C₂²	—	4	1	no	—
1387	C₂²	—	4	1	no	—
1388	C₂²	—	4	1	no	—
1389	C₂²	—	4	1	no	—
1390	C₂²	—	4	1	no	—
1391	C₂²	—	4	1	no	—
1392	C₂²	—	4	1	no	—
1393	C₂²	—	14	2	no	—
1394	C₂²	—	14	2	no	—
1395	C₂²	—	14	2	no	—
1396	C₂²	—	14	2	no	—
1397	C₂²	—	14	2	no	—
1398	C₂²	—	14	2	no	—
1399	C₂²	—	28	16	no	—
1400	C₂²	—	28	1	no	—
1401	C₂²	—	28	1	no	—
1402	C₂²	—	28	1	no	—
1403	C₂²	—	28	1	no	—
1404	C₂²	—	28	1	no	—
1405	C₂²	—	28	1	no	—
1406	C₂²	—	28	1	no	—
1407	C₂²	—	28	1	no	—
1408	C₂²	C₂²×#1157	1	1	yes	characteristic
1409	C₂²	#90616	1	1	yes	characteristic
1410	C₂²	#90616	1	1	yes	characteristic
1411	C₂²	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1412	C₂²	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1413	C₂²	#90618	1	1	yes	characteristic
1414	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1415	C₄	—	2	2	no	—
1416	C₄	—	2	2	no	—
1417	C₄	—	4	1	no	—
1418	C₄	—	4	1	no	—
1419	C₄	—	4	1	no	—
1420	C₄	—	4	1	no	—
1421	C₄	—	4	1	no	—
1422	C₄	—	4	1	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	14	2	no	—
1429	C₄	—	28	1	no	—
1430	C₄	—	28	1	no	—
1431	C₄	—	28	1	no	—
1432	C₄	—	28	1	no	—
1433	C₄	—	28	1	no	—
1434	C₄	—	28	1	no	—
1435	C₄	—	28	1	no	—
1436	C₄	—	28	1	no	—
1437	C₄	—	28	1	no	—
1438	C₄	—	28	1	no	—
1439	C₄	—	28	1	no	—
1440	C₄	—	28	1	no	—
1441	C₄	—	28	1	no	—
1442	C₂	—	4	2	no	—
1443	C₂	—	8	1	no	—
1444	C₂	—	28	2	no	—
1445	C₂	—	28	2	no	—
1446	C₂	#11742905	1	1	yes	characteristic
1447	C₂	#11742936	1	1	yes	characteristic
1448	C₂	#11742972	1	1	yes	characteristic
1449	C₂	#11743487	1	1	yes	characteristic
1450	C₂	#11743530	1	1	yes	characteristic
1451	C₂	#11743541	1	1	yes	characteristic
1452	C₂	#11743599	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2335	C₂
prime radical	C₂×#6500	C₂²
hypercenter	#2335	D₇
hypocenter	C₇	#36736
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2335

Complements

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

N	H ≅ G/N	type
1. C₇×#2335	C₂	semidirect
3. #11740313	C₂	semidirect
5. #11733828	C₂	semidirect
6. #11733717	C₂	semidirect
7. #11733557	C₂	semidirect
8. #11733383	C₂	semidirect
9. #11733380	C₂	semidirect
10. #11733379	C₂	semidirect
11. #11733161	C₂	semidirect
12. #11733159	C₂	semidirect
13. #11733127	C₂	semidirect
14. #11733083	C₂	semidirect
15. #11732982	C₂	semidirect
16. #11732837	C₂	semidirect
17. #11732626	C₂	semidirect
18. #11732545	C₂	semidirect
19. #11732456	C₂	semidirect
21. #11732251	C₂	semidirect
22. #11732090	C₂	semidirect
23. #11732078	C₂	semidirect
24. #11731494	C₂	semidirect
25. #11731404	C₂	semidirect
26. #11731256	C₂	semidirect
27. #11731230	C₂	semidirect
28. #11731038	C₂	semidirect
29. #11731006	C₂	semidirect
30. #11730991	C₂	semidirect
31. #11730893	C₂	semidirect
40. C₂×#6452	C₂²	semidirect
41. C₂×#6442	C₂²	semidirect
46. C₇×#389	C₂²	semidirect
49. C₇×#388	C₂²	semidirect
50. C₇×#388	C₂²	semidirect
51. C₇×#387	C₂²	semidirect
52. C₇×#387	C₂²	semidirect
54. C₇×#385	C₂²	semidirect
56. C₄×C₇×C₄⋊C₄	C₂²	semidirect
58. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
62. #89984	C₂²	semidirect
64. #89982	C₂²	semidirect
78. #89758	C₂²	semidirect
79. #89756	C₂²	semidirect
80. #89756	C₂²	semidirect
81. #89756	C₂²	semidirect
82. #89756	C₂²	semidirect
83. #89756	C₂²	semidirect
84. #89756	C₂²	semidirect
85. #89753	C₂²	semidirect
86. #89752	C₂²	semidirect
87. #89752	C₂²	semidirect
88. #89751	C₂²	semidirect
89. #89744	C₂²	semidirect
90. #89744	C₂²	semidirect
108. #89724	C₂²	semidirect
109. #89724	C₂²	semidirect
110. #89723	C₂²	semidirect
115. #89721	C₂²	semidirect
116. #89721	C₂²	semidirect
119. #89720	C₂²	semidirect
120. #89719	C₂²	semidirect
123. #89717	C₂²	semidirect
124. #89717	C₂²	semidirect
137. #89709	C₂²	semidirect
138. #89705	C₂²	semidirect
139. #89705	C₂²	semidirect
140. #89705	C₂²	semidirect
141. #89705	C₂²	semidirect
142. C₄×Dic₇⋊C₄	C₂²	semidirect
143. C₄×Dic₇⋊C₄	C₂²	semidirect
144. #89700	C₂²	semidirect
145. #89700	C₂²	semidirect
146. #89700	C₂²	semidirect
167. #89432	C₂²	semidirect
168. #89432	C₂²	semidirect
169. #89431	C₂²	semidirect
170. #89431	C₂²	semidirect
171. #89430	C₂²	semidirect
172. #89430	C₂²	semidirect
173. #89429	C₂²	semidirect
174. #89429	C₂²	semidirect
175. #89426	C₂²	semidirect
176. #89426	C₂²	semidirect
177. #89426	C₂²	semidirect
178. #89425	C₂²	semidirect
179. #89425	C₂²	semidirect
180. #89424	C₂²	semidirect
181. #89424	C₂²	semidirect
182. #89419	C₂²	semidirect
183. #89419	C₂²	semidirect
184. #89419	C₂²	semidirect
185. #89418	C₂²	semidirect
186. #89418	C₂²	semidirect
386. #2335	D₇	semidirect
630. #389	C₂×D₇	semidirect
651. #388	C₂×D₇	semidirect
652. #388	C₂×D₇	semidirect
665. #387	C₂×D₇	semidirect
666. #387	C₂×D₇	semidirect
684. #385	C₂×D₇	semidirect
705. C₄×C₄⋊C₄	C₂×D₇	semidirect
710. C₄×C₂²⋊C₄	C₂×D₇	semidirect
1378. C₇	#36736	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2335	2
#11740357	2
#11740313	2
#11733912	2
#11733828	2
#11733717	2
#11733557	2
#11733383	2
#11733380	2
#11733379	2
#11733161	2
#11733159	2
#11733127	2
#11733083	2
#11732982	2
#11732837	2
#11732626	2
#11732545	2
#11732456	2
#11732369	2
#11732251	2
#11732090	2
#11732078	2
#11731494	2
#11731404	2
#11731256	2
#11731230	2
#11731038	2
#11731006	2
#11730991	2
#11730893	2
#36736	7