Subgroups — #13516784

Order 1792.

2134 conjugacy classes of subgroups.

The subgroup lattice has 1438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₇×#126	C₂	1	1	yes	maximal, characteristic
2	C₇×#2334	C₂	1	1	yes	maximal, characteristic, complemented
3	#11740519	C₂	1	1	yes	maximal, characteristic, complemented
4	#11733645	C₂	1	1	yes	maximal, characteristic, complemented
5	#11733640	C₂	1	1	yes	maximal, characteristic, complemented
6	#11733439	C₂	1	1	yes	maximal, characteristic, complemented
7	#11733421	C₂	1	1	yes	maximal, characteristic, complemented
8	#11733278	C₂	1	1	yes	maximal, characteristic
9	#11733278	C₂	1	1	yes	maximal, characteristic
10	#11733270	C₂	1	1	yes	maximal, characteristic
11	#11732939	C₂	1	1	yes	maximal, characteristic, complemented
12	#11732930	C₂	1	1	yes	maximal, characteristic, complemented
13	#11732912	C₂	1	1	yes	maximal, characteristic, complemented
14	#11732741	C₂	1	1	yes	maximal, characteristic, complemented
15	#11732425	C₂	1	1	yes	maximal, characteristic, complemented
16	#11732418	C₂	1	1	yes	maximal, characteristic, complemented
17	#11732407	C₂	1	1	yes	maximal, characteristic, complemented
18	#11732406	C₂	1	1	yes	maximal, characteristic, complemented
19	#11732400	C₂	1	1	yes	maximal, characteristic, complemented
20	#11732040	C₂	1	1	yes	maximal, characteristic
21	#11732036	C₂	1	1	yes	maximal, characteristic
22	#11731848	C₂	1	1	yes	maximal, characteristic, complemented
23	#11731834	C₂	1	1	yes	maximal, characteristic, complemented
24	#11731600	C₂	1	1	yes	maximal, characteristic, complemented
25	#11731593	C₂	1	1	yes	maximal, characteristic, complemented
26	#11731213	C₂	1	1	yes	maximal, characteristic, complemented
27	#11731197	C₂	1	1	yes	maximal, characteristic, complemented
28	#11731111	C₂	1	1	yes	maximal, characteristic, complemented
29	#11731073	C₂	1	1	yes	maximal, characteristic, complemented
30	#11731019	C₂	1	1	yes	maximal, characteristic
31	#11730922	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×#126	C₂²	1	1	yes	characteristic
33	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
34	D₇×#126	C₄	1	16	yes	complemented
35	C₂×#6461	C₂²	1	1	yes	characteristic
36	C₂×#6461	C₂²	1	1	yes	characteristic
37	C₂×#6461	C₂²	1	1	yes	characteristic
38	C₂×#6455	C₂²	1	1	yes	characteristic
39	C₂×#6455	C₂²	1	1	yes	characteristic
40	C₂×#6455	C₂²	1	1	yes	characteristic
41	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
42	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
45	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
46	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
47	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
48	C₂×#6442	C₂²	1	1	yes	characteristic
49	C₂×#6442	C₂²	1	1	yes	characteristic
50	C₂×#6442	C₂²	1	1	yes	characteristic
51	C₂×#6439	C₂²	1	1	yes	characteristic
52	C₂×#6435	C₂²	1	1	yes	characteristic
53	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
54	C₇×#389	C₂²	1	1	yes	characteristic, complemented
55	C₇×#389	C₂²	1	1	yes	characteristic, complemented
56	C₇×#388	C₂²	1	1	yes	characteristic
57	C₇×#388	C₂²	1	1	yes	characteristic
58	C₇×#388	C₂²	1	1	yes	characteristic
59	C₇×#387	C₂²	1	1	yes	characteristic, complemented
60	C₇×#387	C₂²	1	1	yes	characteristic, complemented
61	C₇×#387	C₂²	1	1	yes	characteristic, complemented
62	C₇×#385	C₂²	1	1	yes	characteristic
63	C₇×#385	C₂²	1	1	yes	characteristic
64	C₇×#382	C₂²	1	1	yes	characteristic, complemented
65	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
66	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
67	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
68	#89982	C₂²	1	1	yes	characteristic
69	#89982	C₂²	1	1	yes	characteristic
70	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
71	#89762	C₂²	1	1	yes	characteristic
72	#89762	C₂²	1	1	yes	characteristic
73	#89762	C₂²	1	1	yes	characteristic
74	#89761	C₂²	1	1	yes	characteristic
75	#89761	C₂²	1	1	yes	characteristic
76	#89761	C₂²	1	1	yes	characteristic
77	#89761	C₂²	1	1	yes	characteristic
78	#89759	C₂²	1	1	yes	characteristic
79	#89759	C₂²	1	1	yes	characteristic
80	#89759	C₂²	1	1	yes	characteristic
81	#89759	C₂²	1	1	yes	characteristic
82	#89757	C₂²	1	1	yes	characteristic, complemented
83	#89757	C₂²	1	1	yes	characteristic, complemented
84	#89753	C₂²	1	1	yes	characteristic, complemented
85	#89753	C₂²	1	1	yes	characteristic, complemented
86	#89753	C₂²	1	1	yes	characteristic, complemented
87	#89750	C₂²	1	1	yes	characteristic, complemented
88	#89750	C₂²	1	1	yes	characteristic, complemented
89	#89750	C₂²	1	1	yes	characteristic, complemented
90	#89749	C₂²	1	1	yes	characteristic, complemented
91	#89749	C₂²	1	1	yes	characteristic, complemented
92	#89748	C₂²	1	1	yes	characteristic, complemented
93	#89748	C₂²	1	1	yes	characteristic, complemented
94	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
95	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
96	#89745	C₂²	1	1	yes	characteristic, complemented
97	#89745	C₂²	1	1	yes	characteristic, complemented
98	#89744	C₂²	1	1	yes	characteristic, complemented
99	#89744	C₂²	1	1	yes	characteristic, complemented
100	#89744	C₂²	1	1	yes	characteristic, complemented
101	#89744	C₂²	1	1	yes	characteristic, complemented
102	#89727	C₂²	1	1	yes	characteristic
103	#89727	C₂²	1	1	yes	characteristic
104	#89723	C₂²	1	1	yes	characteristic
105	#89723	C₂²	1	1	yes	characteristic
106	#89723	C₂²	1	1	yes	characteristic
107	#89722	C₂²	1	1	yes	characteristic
108	#89722	C₂²	1	1	yes	characteristic
109	#89718	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	#89716	C₂²	1	1	yes	characteristic
115	#89716	C₂²	1	1	yes	characteristic
116	#89716	C₂²	1	1	yes	characteristic
117	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
118	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
119	#89712	C₂²	1	1	yes	characteristic
120	#89712	C₂²	1	1	yes	characteristic
121	#89712	C₂²	1	1	yes	characteristic
122	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
123	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
124	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
125	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
126	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
127	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
128	#89708	C₂²	1	1	yes	characteristic, complemented
129	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
130	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
131	#89705	C₂²	1	1	yes	characteristic, complemented
132	#89705	C₂²	1	1	yes	characteristic, complemented
133	#89705	C₂²	1	1	yes	characteristic, complemented
134	#89704	C₂²	1	1	yes	characteristic, complemented
135	#89704	C₂²	1	1	yes	characteristic, complemented
136	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
137	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
138	#89700	C₂²	1	1	yes	characteristic, complemented
139	#89700	C₂²	1	1	yes	characteristic, complemented
140	#89442	C₂²	1	1	yes	characteristic
141	#89442	C₂²	1	1	yes	characteristic
142	#89442	C₂²	1	1	yes	characteristic
143	#89441	C₂²	1	1	yes	characteristic
144	#89441	C₂²	1	1	yes	characteristic
145	#89441	C₂²	1	1	yes	characteristic
146	#89440	C₂²	1	1	yes	characteristic
147	#89440	C₂²	1	1	yes	characteristic
148	#89440	C₂²	1	1	yes	characteristic
149	#89440	C₂²	1	1	yes	characteristic
150	#89439	C₂²	1	1	yes	characteristic
151	#89439	C₂²	1	1	yes	characteristic
152	#89439	C₂²	1	1	yes	characteristic
153	#89439	C₂²	1	1	yes	characteristic
154	#89439	C₂²	1	1	yes	characteristic
155	#89439	C₂²	1	1	yes	characteristic
156	#89438	C₂²	1	1	yes	characteristic
157	#89438	C₂²	1	1	yes	characteristic
158	#89438	C₂²	1	1	yes	characteristic
159	#89438	C₂²	1	1	yes	characteristic
160	#89436	C₂²	1	1	yes	characteristic
161	#89436	C₂²	1	1	yes	characteristic
162	#89436	C₂²	1	1	yes	characteristic
163	#89436	C₂²	1	1	yes	characteristic
164	#89427	C₂²	1	1	yes	characteristic, complemented
165	#89427	C₂²	1	1	yes	characteristic, complemented
166	#89427	C₂²	1	1	yes	characteristic, complemented
167	#89426	C₂²	1	1	yes	characteristic, complemented
168	#89426	C₂²	1	1	yes	characteristic, complemented
169	#89426	C₂²	1	1	yes	characteristic, complemented
170	#89425	C₂²	1	1	yes	characteristic, complemented
171	#89425	C₂²	1	1	yes	characteristic, complemented
172	#89425	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	#89423	C₂²	1	1	yes	characteristic, complemented
177	#89423	C₂²	1	1	yes	characteristic, complemented
178	#89421	C₂²	1	1	yes	characteristic, complemented
179	#89421	C₂²	1	1	yes	characteristic, complemented
180	#89421	C₂²	1	1	yes	characteristic, complemented
181	#89421	C₂²	1	1	yes	characteristic, complemented
182	#89421	C₂²	1	1	yes	characteristic, complemented
183	#89421	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	#89419	C₂²	1	1	yes	characteristic, complemented
188	#34381	—	7	1	no	maximal, Sylow
189	C₂⁴×D₇	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	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
200	C₇×#126	C₂×C₄	1	8	yes	complemented
201	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄²×C₇	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₇	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×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×(C₂×D₇)⋊C₄	—	4	2	no	—
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	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×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₇	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×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
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×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	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
298	#6461	C₂×C₄	1	8	yes	complemented
299	#6461	C₂×C₄	1	8	yes	complemented
300	#6461	C₂×C₄	1	8	yes	complemented
301	#6455	—	4	2	no	—
302	#6455	—	4	2	no	—
303	#6455	—	4	2	no	—
304	D₇×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
305	D₇×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
306	D₇×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
307	D₇×C₂²⋊C₄	—	4	2	no	—
308	D₇×C₂²⋊C₄	C₂×C₄	1	8	yes	—
309	D₇×C₂²⋊C₄	C₂×C₄	1	8	yes	—
310	D₇×C₂²⋊C₄	C₂×C₄	1	8	yes	—
311	#6442	C₂×C₄	1	8	yes	complemented
312	#6442	C₂×C₄	1	8	yes	complemented
313	#6442	C₂×C₄	1	8	yes	complemented
314	#6439	C₂×C₄	1	8	yes	complemented
315	#6435	—	4	2	no	—
316	C₄²×D₇	C₂×C₄	1	8	yes	complemented
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	C₇⋊#95	C₂³	1	1	yes	characteristic
359	C₇⋊#95	C₂³	1	1	yes	characteristic
360	C₇⋊#95	C₂³	1	1	yes	characteristic
361	C₇⋊#95	C₂³	1	1	yes	characteristic
362	C₇⋊#95	C₂³	1	1	yes	characteristic
363	C₇⋊#95	C₂³	1	1	yes	characteristic
364	C₇⋊#95	C₂³	1	1	yes	characteristic
365	C₂²×#126	—	7	1	no	—
366	#2383	—	7	1	no	—
367	#2383	—	7	1	no	—
368	#2383	—	7	1	no	—
369	#2383	—	7	1	no	—
370	#2373	—	7	1	no	—
371	#2373	—	7	1	no	—
372	#2373	—	7	1	no	—
373	#2373	—	7	1	no	—
374	#2345	—	7	1	no	—
375	#2345	—	7	1	no	—
376	#2344	—	7	1	no	—
377	#2344	—	7	1	no	—
378	#2342	—	7	1	no	—
379	#2342	—	7	1	no	—
380	#2342	—	7	1	no	—
381	#2342	—	7	1	no	—
382	#2334	—	7	1	no	—
383	#2334	—	7	1	no	—
384	#2334	—	7	1	no	—
385	#2334	—	7	1	no	—
386	#2334	—	7	1	no	—
387	#2334	—	7	1	no	—
388	#2334	—	7	1	no	—
389	#2334	D₇	1	1	yes	characteristic, complemented
390	#2316	—	7	1	no	—
391	#2315	—	7	1	no	—
392	#2313	—	7	1	no	—
393	#2312	—	7	1	no	—
394	#2285	—	7	1	no	—
395	#2283	—	7	1	no	—
396	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
397	C₂³×D₇	—	2	2	no	—
398	C₂³×D₇	—	2	2	no	—
399	C₂³×D₇	—	4	1	no	—
400	C₂³×D₇	—	4	1	no	—
401	C₂³×D₇	—	4	1	no	—
402	C₂³×D₇	—	4	1	no	—
403	C₂³×D₇	C₂²×C₄	1	4	yes	—
404	C₂³×D₇	C₂⁴	1	1	yes	characteristic
405	C₂³×D₇	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₇	—	4	1	no	—
407	C₂²×C₄×C₇	—	4	1	no	—
408	C₂²×C₄×C₇	—	4	1	no	—
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	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₇	—	4	1	no	—
424	C₂²×Dic₇	—	4	1	no	—
425	C₂²×Dic₇	—	4	1	no	—
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	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
440	C₂×C₄×D₇	—	2	2	no	—
441	C₂×C₄×D₇	—	2	2	no	—
442	C₂×C₄×D₇	—	2	2	no	—
443	C₂×C₄×D₇	—	2	2	no	—
444	C₂×C₄×D₇	—	4	1	no	—
445	C₂×C₄×D₇	—	4	1	no	—
446	C₂×C₄×D₇	—	4	1	no	—
447	C₂×C₄×D₇	—	4	1	no	—
448	C₂×C₄×D₇	—	4	1	no	—
449	C₂×C₄×D₇	—	4	1	no	—
450	C₂×C₄×D₇	—	4	1	no	—
451	C₂×C₄×D₇	—	4	1	no	—
452	C₂×C₄×D₇	—	4	1	no	—
453	C₂×C₄×D₇	—	4	1	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×C₄×D₇	C₂²×C₄	1	4	yes	—
459	C₂×C₄×D₇	C₂²×C₄	1	4	yes	—
460	C₂×C₄×D₇	C₂²×C₄	1	4	yes	—
461	C₂×C₄×D₇	C₂²×C₄	1	4	yes	—
462	C₂×C₄×D₇	C₂²×C₄	1	4	yes	—
463	C₂×C₄×D₇	C₂²×C₄	1	4	yes	—
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×C₄⋊C₄	—	4	1	no	—
469	C₇×C₄⋊C₄	—	4	1	no	—
470	C₇×C₄⋊C₄	—	4	1	no	—
471	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
472	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
473	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
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	C₂²×C₄	1	4	yes	—
478	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
479	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
480	C₄²×C₇	—	4	1	no	—
481	C₄²×C₇	—	4	1	no	—
482	C₄²×C₇	—	4	1	no	—
483	C₄²×C₇	—	4	1	no	—
484	C₄²×C₇	—	4	1	no	—
485	C₄²×C₇	C₂²×C₄	1	4	yes	—
486	C₂²⋊Dic₇	—	4	1	no	—
487	C₂²⋊Dic₇	—	4	1	no	—
488	C₂²⋊Dic₇	—	4	1	no	—
489	C₂²⋊Dic₇	C₂²×C₄	1	4	yes	—
490	C₂²⋊Dic₇	C₂²×C₄	1	4	yes	—
491	C₂²⋊Dic₇	C₂²×C₄	1	4	yes	—
492	(C₂×D₇)⋊C₄	—	2	2	no	—
493	(C₂×D₇)⋊C₄	—	2	2	no	—
494	(C₂×D₇)⋊C₄	—	2	2	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	—	4	1	no	—
501	(C₂×D₇)⋊C₄	—	4	1	no	—
502	(C₂×D₇)⋊C₄	—	4	1	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	C₂²×C₄	1	4	yes	—
507	(C₂×D₇)⋊C₄	C₂²×C₄	1	4	yes	—
508	(C₂×D₇)⋊C₄	C₂²×C₄	1	4	yes	—
509	(C₂×D₇)⋊C₄	C₂²×C₄	1	4	yes	—
510	(C₂×D₇)⋊C₄	C₂²×C₄	1	4	yes	—
511	(C₂×D₇)⋊C₄	C₂²×C₄	1	4	yes	—
512	C₄⋊Dic₇	—	4	1	no	—
513	C₄⋊Dic₇	—	4	1	no	—
514	C₄⋊Dic₇	—	4	1	no	—
515	C₄⋊Dic₇	—	4	1	no	—
516	C₄⋊Dic₇	—	4	1	no	—
517	C₄⋊Dic₇	—	4	1	no	—
518	C₄⋊Dic₇	—	4	1	no	—
519	C₄⋊Dic₇	C₂²×C₄	1	4	yes	—
520	C₄⋊Dic₇	C₂²×C₄	1	4	yes	—
521	C₄⋊Dic₇	C₂²×C₄	1	4	yes	—
522	Dic₇⋊C₄	—	4	1	no	—
523	Dic₇⋊C₄	—	4	1	no	—
524	Dic₇⋊C₄	—	4	1	no	—
525	Dic₇⋊C₄	—	4	1	no	—
526	Dic₇⋊C₄	—	4	1	no	—
527	Dic₇⋊C₄	—	4	1	no	—
528	Dic₇⋊C₄	—	4	1	no	—
529	Dic₇⋊C₄	—	4	1	no	—
530	Dic₇⋊C₄	—	4	1	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	C₂²×C₄	1	4	yes	—
537	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
538	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
539	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
540	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
541	Dic₇⋊C₄	C₂²×C₄	1	4	yes	—
542	C₄×Dic₇	—	4	1	no	—
543	C₄×Dic₇	—	4	1	no	—
544	C₄×Dic₇	—	4	1	no	—
545	C₄×Dic₇	—	4	1	no	—
546	C₄×Dic₇	—	4	1	no	—
547	C₄×Dic₇	—	4	1	no	—
548	C₄×Dic₇	—	4	1	no	—
549	C₄×Dic₇	—	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	C₄×Dic₇	—	4	1	no	—
557	C₄×Dic₇	C₂²×C₄	1	4	yes	—
558	C₄×Dic₇	C₂²×C₄	1	4	yes	—
559	C₄×Dic₇	C₂²×C₄	1	4	yes	—
560	C₂×#126	—	7	16	no	—
561	C₂×#126	—	7	1	no	—
562	C₂×#126	—	7	1	no	—
563	C₂×#126	—	7	1	no	—
564	C₂×#126	—	7	1	no	—
565	C₂×#126	—	7	1	no	—
566	C₂×#126	—	7	1	no	—
567	C₂×#126	—	7	1	no	—
568	C₂×#126	C₂×D₇	1	1	yes	characteristic
569	C₂×#117	—	7	1	no	—
570	C₂×#117	—	7	1	no	—
571	C₂×#117	—	7	1	no	—
572	C₂×#117	—	7	1	no	—
573	C₂²×C₄⋊C₄	—	7	1	no	—
574	C₂²×C₄⋊C₄	—	7	1	no	—
575	C₂²×C₄⋊C₄	—	7	1	no	—
576	C₂²×C₂²⋊C₄	—	7	1	no	—
577	C₂²×C₂²⋊C₄	—	7	1	no	—
578	C₂²×C₂²⋊C₄	—	7	1	no	—
579	C₂²×C₂²⋊C₄	—	7	1	no	—
580	C₂²×C₂²⋊C₄	—	7	1	no	—
581	C₂²×C₄²	—	7	1	no	—
582	#389	—	7	1	no	—
583	#389	—	7	1	no	—
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	#389	—	7	1	no	—
595	#389	—	7	1	no	—
596	#389	C₂×D₇	1	1	yes	characteristic, complemented
597	#389	C₂×D₇	1	1	yes	characteristic, complemented
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	—	7	1	no	—
611	#388	—	7	1	no	—
612	#388	—	7	1	no	—
613	#388	—	7	1	no	—
614	#388	—	7	1	no	—
615	#388	—	7	1	no	—
616	#388	—	7	1	no	—
617	#388	—	7	1	no	—
618	#388	—	7	1	no	—
619	#388	C₂×D₇	1	1	yes	characteristic
620	#388	C₂×D₇	1	1	yes	characteristic
621	#388	C₂×D₇	1	1	yes	characteristic
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	—	7	1	no	—
637	#387	—	7	1	no	—
638	#387	—	7	1	no	—
639	#387	—	7	1	no	—
640	#387	—	7	1	no	—
641	#387	—	7	1	no	—
642	#387	—	7	1	no	—
643	#387	C₂×D₇	1	1	yes	characteristic, complemented
644	#387	C₂×D₇	1	1	yes	characteristic, complemented
645	#387	C₂×D₇	1	1	yes	characteristic, complemented
646	#385	—	7	1	no	—
647	#385	—	7	1	no	—
648	#385	—	7	1	no	—
649	#385	—	7	1	no	—
650	#385	—	7	1	no	—
651	#385	—	7	1	no	—
652	#385	—	7	1	no	—
653	#385	—	7	1	no	—
654	#385	—	7	1	no	—
655	#385	—	7	1	no	—
656	#385	—	7	1	no	—
657	#385	—	7	1	no	—
658	#385	—	7	1	no	—
659	#385	—	7	1	no	—
660	#385	C₂×D₇	1	1	yes	characteristic
661	#385	C₂×D₇	1	1	yes	characteristic
662	#384	—	7	1	no	—
663	#384	—	7	1	no	—
664	#383	—	7	1	no	—
665	#383	—	7	1	no	—
666	#382	—	7	1	no	—
667	#382	—	7	1	no	—
668	#382	—	7	1	no	—
669	#382	C₂×D₇	1	1	yes	characteristic, complemented
670	#381	—	7	1	no	—
671	#381	—	7	1	no	—
672	#381	—	7	1	no	—
673	#381	—	7	1	no	—
674	#380	—	7	1	no	—
675	#380	—	7	1	no	—
676	#380	—	7	1	no	—
677	#380	—	7	1	no	—
678	#380	—	7	1	no	—
679	#380	—	7	1	no	—
680	#380	—	7	1	no	—
681	#380	—	7	1	no	—
682	#380	—	7	1	no	—
683	#380	—	7	1	no	—
684	#379	—	7	1	no	—
685	#379	—	7	1	no	—
686	C₄×C₄⋊C₄	—	7	1	no	—
687	C₄×C₄⋊C₄	—	7	1	no	—
688	C₄×C₄⋊C₄	—	7	1	no	—
689	C₄×C₄⋊C₄	—	7	1	no	—
690	C₄×C₄⋊C₄	—	7	1	no	—
691	C₄×C₄⋊C₄	—	7	1	no	—
692	C₄×C₄⋊C₄	—	7	1	no	—
693	C₄×C₄⋊C₄	—	7	1	no	—
694	C₄×C₄⋊C₄	—	7	1	no	—
695	C₄×C₄⋊C₄	—	7	1	no	—
696	C₄×C₄⋊C₄	—	7	1	no	—
697	C₄×C₄⋊C₄	—	7	1	no	—
698	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic, complemented
699	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic, complemented
700	C₄×C₂²⋊C₄	—	7	1	no	—
701	C₄×C₂²⋊C₄	—	7	1	no	—
702	C₄×C₂²⋊C₄	—	7	1	no	—
703	C₄×C₂²⋊C₄	—	7	1	no	—
704	C₄×C₂²⋊C₄	—	7	1	no	—
705	C₄×C₂²⋊C₄	—	7	1	no	—
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	—	7	1	no	—
710	C₄×C₂²⋊C₄	—	7	1	no	—
711	C₄×C₂²⋊C₄	—	7	1	no	—
712	C₄×C₂²⋊C₄	—	7	1	no	—
713	C₄×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic
714	#376	—	7	1	no	—
715	#376	—	7	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	C₂³×C₄	1	2	yes	—
723	C₂³×C₇	C₂⁵	1	1	yes	characteristic
724	C₂²×D₇	—	2	1	no	—
725	C₂²×D₇	—	2	1	no	—
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	8	no	—
735	C₂²×D₇	—	4	4	no	—
736	C₂²×D₇	—	4	4	no	—
737	C₂²×D₇	—	8	2	no	—
738	C₂²×D₇	—	8	2	no	—
739	C₂²×D₇	—	8	2	no	—
740	C₂²×D₇	—	8	2	no	—
741	C₂²×D₇	C₂³×C₄	1	2	yes	—
742	C₂²×D₇	C₂³×C₄	1	2	yes	—
743	C₂²×D₇	H(5,𝔽₂)	1	2	yes	—
744	C₂²×D₇	2₋¹⁺⁴	1	2	yes	—
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	—	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	—	8	2	no	—
782	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
783	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
784	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
785	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
786	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
787	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
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	—	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	—	8	2	no	—
825	C₂×Dic₇	C₂³×C₄	1	2	yes	—
826	C₂×Dic₇	C₂³×C₄	1	2	yes	—
827	C₂×Dic₇	C₂³×C₄	1	2	yes	—
828	C₂×Dic₇	C₂³×C₄	1	2	yes	—
829	C₂×Dic₇	C₂³×C₄	1	2	yes	—
830	C₂×Dic₇	C₂³×C₄	1	2	yes	—
831	C₄×D₇	—	2	8	no	—
832	C₄×D₇	—	2	8	no	—
833	C₄×D₇	—	4	4	no	—
834	C₄×D₇	—	4	4	no	—
835	C₄×D₇	—	4	4	no	—
836	C₄×D₇	—	4	4	no	—
837	C₄×D₇	—	8	2	no	—
838	C₄×D₇	—	8	2	no	—
839	C₂⁵	—	7	1	no	—
840	C₂³×C₄	—	7	1	no	—
841	C₂³×C₄	—	7	1	no	—
842	C₂³×C₄	—	7	1	no	—
843	C₂³×C₄	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
850	#126	—	7	8	no	—
851	#126	—	7	8	no	—
852	#126	—	7	8	no	—
853	#126	—	7	8	no	—
854	#126	—	7	8	no	—
855	#126	—	7	8	no	—
856	#126	—	7	8	no	—
857	#126	C₄×D₇	1	8	yes	complemented
858	#117	—	28	2	no	—
859	#117	—	28	2	no	—
860	#117	—	28	2	no	—
861	#117	—	28	2	no	—
862	C₂×C₄⋊C₄	—	7	1	no	—
863	C₂×C₄⋊C₄	—	7	1	no	—
864	C₂×C₄⋊C₄	—	7	1	no	—
865	C₂×C₄⋊C₄	—	7	1	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	8	no	—
872	C₂×C₄⋊C₄	—	7	8	no	—
873	C₂×C₄⋊C₄	—	7	8	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	C₂²×D₇	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
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×C₂²⋊C₄	—	7	1	no	—
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	8	no	—
915	C₂×C₂²⋊C₄	—	7	8	no	—
916	C₂×C₂²⋊C₄	—	7	8	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	—	28	2	no	—
935	C₂×C₂²⋊C₄	—	28	2	no	—
936	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
937	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
939	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
940	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
941	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
942	C₂×C₄²	—	7	1	no	—
943	C₂×C₄²	—	7	1	no	—
944	C₂×C₄²	—	7	1	no	—
945	C₂×C₄²	—	7	8	no	—
946	C₂×C₄²	—	7	1	no	—
947	C₂×C₄²	—	7	1	no	—
948	C₂×C₄²	—	7	1	no	—
949	C₂×C₄²	—	7	1	no	—
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	—	7	1	no	—
957	C₂×C₄²	—	7	1	no	—
958	C₂×C₄²	—	7	1	no	—
959	C₂×C₄²	—	7	1	no	—
960	C₂×C₄²	—	7	1	no	—
961	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
962	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
963	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
964	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
965	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
966	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
1000	#95	—	7	1	no	—
1001	#95	—	7	1	no	—
1002	#95	—	7	1	no	—
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	#95	C₂²×D₇	1	1	yes	characteristic
1010	#95	C₂²×D₇	1	1	yes	characteristic
1011	#95	C₂²×D₇	1	1	yes	characteristic
1012	#95	C₂²×D₇	1	1	yes	characteristic
1013	#95	C₂²×D₇	1	1	yes	characteristic
1014	#95	C₂²×D₇	1	1	yes	characteristic
1015	C₂²×C₇	—	2	2	no	—
1016	C₂²×C₇	—	2	2	no	—
1017	C₂²×C₇	—	2	2	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	C₂⁴×C₄	1	1	yes	characteristic
1023	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1024	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1025	C₂²×C₇	#585	1	1	yes	characteristic
1026	C₂²×C₇	#585	1	1	yes	characteristic
1027	C₂²×C₇	#585	1	1	yes	characteristic
1028	C₂²×C₇	#585	1	1	yes	characteristic
1029	C₂×D₇	—	2	2	no	—
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	—	2	2	no	—
1037	C₂×D₇	—	2	2	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	—	8	8	no	—
1043	C₂×D₇	#520	1	4	yes	—
1044	C₄×C₇	—	2	2	no	—
1045	C₄×C₇	—	2	2	no	—
1046	C₄×C₇	—	2	2	no	—
1047	C₄×C₇	—	2	2	no	—
1048	C₄×C₇	—	2	2	no	—
1049	C₄×C₇	—	2	2	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	—	2	2	no	—
1060	Dic₇	—	2	2	no	—
1061	Dic₇	—	2	2	no	—
1062	Dic₇	—	2	2	no	—
1063	Dic₇	—	2	2	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	—	7	4	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	C₂²×C₄	—	4	1	no	—
1083	C₂²×C₄	—	4	1	no	—
1084	C₂²×C₄	—	4	1	no	—
1085	C₂²×C₄	—	7	1	no	—
1086	C₂²×C₄	—	7	1	no	—
1087	C₂²×C₄	—	7	1	no	—
1088	C₂²×C₄	—	7	1	no	—
1089	C₂²×C₄	—	7	1	no	—
1090	C₂²×C₄	—	7	1	no	—
1091	C₂²×C₄	—	7	4	no	—
1092	C₂²×C₄	—	7	4	no	—
1093	C₂²×C₄	—	7	4	no	—
1094	C₂²×C₄	—	7	4	no	—
1095	C₂²×C₄	—	7	4	no	—
1096	C₂²×C₄	—	7	4	no	—
1097	C₂²×C₄	—	7	1	no	—
1098	C₂²×C₄	—	7	1	no	—
1099	C₂²×C₄	—	7	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	—	14	2	no	—
1106	C₂²×C₄	—	14	2	no	—
1107	C₂²×C₄	—	14	2	no	—
1108	C₂²×C₄	—	14	2	no	—
1109	C₂²×C₄	—	28	1	no	—
1110	C₂²×C₄	—	28	1	no	—
1111	C₂²×C₄	—	28	1	no	—
1112	C₂²×C₄	—	28	1	no	—
1113	C₂²×C₄	—	28	1	no	—
1114	C₂²×C₄	—	28	1	no	—
1115	C₂²×C₄	—	28	1	no	—
1116	C₂²×C₄	—	28	1	no	—
1117	C₂²×C₄	—	28	1	no	—
1118	C₂²×C₄	—	28	1	no	—
1119	C₂²×C₄	—	28	1	no	—
1120	C₂²×C₄	—	28	1	no	—
1121	C₂²×C₄	—	28	1	no	—
1122	C₂²×C₄	—	28	1	no	—
1123	C₂²×C₄	—	28	1	no	—
1124	C₂²×C₄	—	28	1	no	—
1125	C₂²×C₄	—	28	1	no	—
1126	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1129	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1130	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
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	C₄⋊C₄	—	4	1	no	—
1141	C₄⋊C₄	—	4	1	no	—
1142	C₄⋊C₄	—	4	1	no	—
1143	C₄⋊C₄	—	4	1	no	—
1144	C₄⋊C₄	—	4	1	no	—
1145	C₄⋊C₄	—	4	1	no	—
1146	C₄⋊C₄	—	4	1	no	—
1147	C₄⋊C₄	—	7	4	no	—
1148	C₄⋊C₄	—	7	4	no	—
1149	C₄⋊C₄	—	7	4	no	—
1150	C₄⋊C₄	—	7	4	no	—
1151	C₄⋊C₄	—	7	4	no	—
1152	C₄⋊C₄	—	7	4	no	—
1153	C₄⋊C₄	—	7	4	no	—
1154	C₄⋊C₄	—	7	4	no	—
1155	C₄⋊C₄	—	7	4	no	—
1156	C₄⋊C₄	—	28	1	no	—
1157	C₄⋊C₄	—	28	1	no	—
1158	C₄⋊C₄	—	28	1	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	C₂×C₄×D₇	1	4	yes	—
1178	C₄⋊C₄	C₂×C₄×D₇	1	4	yes	—
1179	C₄⋊C₄	C₂×C₄×D₇	1	4	yes	—
1180	C₂²⋊C₄	—	4	1	no	—
1181	C₂²⋊C₄	—	4	1	no	—
1182	C₂²⋊C₄	—	4	1	no	—
1183	C₂²⋊C₄	—	7	4	no	—
1184	C₂²⋊C₄	—	7	4	no	—
1185	C₂²⋊C₄	—	7	4	no	—
1186	C₂²⋊C₄	—	7	4	no	—
1187	C₂²⋊C₄	—	7	4	no	—
1188	C₂²⋊C₄	—	7	4	no	—
1189	C₂²⋊C₄	—	7	4	no	—
1190	C₂²⋊C₄	—	7	4	no	—
1191	C₂²⋊C₄	—	7	4	no	—
1192	C₂²⋊C₄	—	14	2	no	—
1193	C₂²⋊C₄	—	14	2	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	—	28	1	no	—
1201	C₂²⋊C₄	—	28	1	no	—
1202	C₂²⋊C₄	—	28	1	no	—
1203	C₂²⋊C₄	—	28	1	no	—
1204	C₂²⋊C₄	—	28	1	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	C₂×C₄×D₇	1	4	yes	—
1210	C₂²⋊C₄	C₂×C₄×D₇	1	4	yes	—
1211	C₂²⋊C₄	C₂×C₄×D₇	1	4	yes	—
1212	C₄²	—	4	1	no	—
1213	C₄²	—	4	1	no	—
1214	C₄²	—	4	1	no	—
1215	C₄²	—	4	1	no	—
1216	C₄²	—	4	1	no	—
1217	C₄²	—	7	4	no	—
1218	C₄²	—	7	4	no	—
1219	C₄²	—	7	4	no	—
1220	C₄²	—	28	1	no	—
1221	C₄²	—	28	1	no	—
1222	C₄²	—	28	1	no	—
1223	C₄²	—	28	1	no	—
1224	C₄²	—	28	1	no	—
1225	C₄²	—	28	1	no	—
1226	C₄²	—	28	1	no	—
1227	C₄²	—	28	1	no	—
1228	C₄²	—	28	1	no	—
1229	C₄²	—	28	1	no	—
1230	C₄²	—	28	1	no	—
1231	C₄²	—	28	1	no	—
1232	C₄²	—	28	1	no	—
1233	C₄²	—	28	1	no	—
1234	C₄²	—	28	1	no	—
1235	C₄²	C₂×C₄×D₇	1	4	yes	—
1236	C₂×C₇	—	4	2	no	—
1237	C₂×C₇	C₂×#520	1	1	yes	characteristic
1238	C₂×C₇	#3428	1	1	yes	characteristic
1239	C₂×C₇	#3428	1	1	yes	characteristic
1240	C₂×C₇	#3560	1	1	yes	characteristic
1241	C₂×C₇	#3560	1	1	yes	characteristic
1242	C₂×C₇	#3564	1	1	yes	characteristic
1243	C₂×C₇	#3564	1	1	yes	characteristic
1244	D₇	—	2	4	no	—
1245	D₇	—	4	2	no	—
1246	C₂³	—	2	1	no	—
1247	C₂³	—	2	1	no	—
1248	C₂³	—	2	1	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	2	1	no	—
1251	C₂³	—	2	1	no	—
1252	C₂³	—	7	2	no	—
1253	C₂³	—	7	2	no	—
1254	C₂³	—	7	2	no	—
1255	C₂³	—	7	2	no	—
1256	C₂³	—	14	8	no	—
1257	C₂³	—	14	1	no	—
1258	C₂³	—	14	1	no	—
1259	C₂³	—	14	1	no	—
1260	C₂³	—	14	1	no	—
1261	C₂³	—	14	1	no	—
1262	C₂³	—	14	1	no	—
1263	C₂³	—	14	1	no	—
1264	C₂³	—	14	1	no	—
1265	C₂³	—	14	1	no	—
1266	C₂³	—	14	1	no	—
1267	C₂³	—	28	4	no	—
1268	C₂³	—	28	4	no	—
1269	C₂³	—	56	2	no	—
1270	C₂³	—	56	2	no	—
1271	C₂³	—	56	2	no	—
1272	C₂³	—	56	2	no	—
1273	C₂³	C₂²×C₄×D₇	1	2	yes	—
1274	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	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	—	7	2	no	—
1312	C₂×C₄	—	7	2	no	—
1313	C₂×C₄	—	7	2	no	—
1314	C₂×C₄	—	7	2	no	—
1315	C₂×C₄	—	7	2	no	—
1316	C₂×C₄	—	7	2	no	—
1317	C₂×C₄	—	8	2	no	—
1318	C₂×C₄	—	14	8	no	—
1319	C₂×C₄	—	14	8	no	—
1320	C₂×C₄	—	14	1	no	—
1321	C₂×C₄	—	14	1	no	—
1322	C₂×C₄	—	14	1	no	—
1323	C₂×C₄	—	14	1	no	—
1324	C₂×C₄	—	14	1	no	—
1325	C₂×C₄	—	14	1	no	—
1326	C₂×C₄	—	14	1	no	—
1327	C₂×C₄	—	14	1	no	—
1328	C₂×C₄	—	14	1	no	—
1329	C₂×C₄	—	14	1	no	—
1330	C₂×C₄	—	14	1	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	—	28	4	no	—
1357	C₂×C₄	—	28	4	no	—
1358	C₂×C₄	—	28	4	no	—
1359	C₂×C₄	—	28	4	no	—
1360	C₂×C₄	—	56	2	no	—
1361	C₂×C₄	—	56	2	no	—
1362	C₂×C₄	—	56	2	no	—
1363	C₂×C₄	C₂²×C₄×D₇	1	2	yes	—
1364	C₂×C₄	C₂²×C₄×D₇	1	2	yes	—
1365	C₂×C₄	C₂²×C₄×D₇	1	2	yes	—
1366	C₂×C₄	C₂²×C₄×D₇	1	2	yes	—
1367	C₂×C₄	C₂²×C₄×D₇	1	2	yes	—
1368	C₂×C₄	C₂²×C₄×D₇	1	2	yes	—
1369	C₇	#34381	1	1	yes	characteristic, complemented, Sylow
1370	C₂²	—	2	2	no	—
1371	C₂²	—	2	2	no	—
1372	C₂²	—	2	2	no	—
1373	C₂²	—	4	1	no	—
1374	C₂²	—	4	1	no	—
1375	C₂²	—	4	1	no	—
1376	C₂²	—	4	1	no	—
1377	C₂²	—	7	4	no	—
1378	C₂²	—	14	2	no	—
1379	C₂²	—	14	2	no	—
1380	C₂²	—	14	2	no	—
1381	C₂²	—	14	2	no	—
1382	C₂²	—	14	2	no	—
1383	C₂²	—	14	2	no	—
1384	C₂²	—	14	2	no	—
1385	C₂²	—	14	2	no	—
1386	C₂²	—	14	2	no	—
1387	C₂²	—	28	1	no	—
1388	C₂²	—	28	1	no	—
1389	C₂²	—	28	1	no	—
1390	C₂²	—	28	1	no	—
1391	C₂²	—	56	8	no	—
1392	C₂²	C₂³×C₄×D₇	1	1	yes	characteristic
1393	C₂²	#90616	1	1	yes	characteristic
1394	C₂²	#90616	1	1	yes	characteristic
1395	C₂²	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1396	C₂²	#90618	1	1	yes	characteristic
1397	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1398	C₂²	#90620	1	1	yes	characteristic
1399	C₄	—	2	2	no	—
1400	C₄	—	2	2	no	—
1401	C₄	—	2	2	no	—
1402	C₄	—	2	2	no	—
1403	C₄	—	2	2	no	—
1404	C₄	—	2	2	no	—
1405	C₄	—	4	1	no	—
1406	C₄	—	4	1	no	—
1407	C₄	—	4	1	no	—
1408	C₄	—	4	1	no	—
1409	C₄	—	4	1	no	—
1410	C₄	—	4	1	no	—
1411	C₄	—	4	1	no	—
1412	C₄	—	4	1	no	—
1413	C₄	—	14	2	no	—
1414	C₄	—	14	2	no	—
1415	C₄	—	14	2	no	—
1416	C₄	—	14	2	no	—
1417	C₄	—	14	2	no	—
1418	C₄	—	14	2	no	—
1419	C₄	—	28	1	no	—
1420	C₄	—	28	1	no	—
1421	C₄	—	28	1	no	—
1422	C₄	—	28	1	no	—
1423	C₄	—	28	1	no	—
1424	C₄	—	28	1	no	—
1425	C₄	—	28	1	no	—
1426	C₄	—	28	1	no	—
1427	C₂	—	4	2	no	—
1428	C₂	—	14	4	no	—
1429	C₂	—	28	2	no	—
1430	C₂	#11742902	1	1	yes	characteristic
1431	C₂	#11742953	1	1	yes	characteristic
1432	C₂	D₇×#520	1	1	yes	characteristic
1433	C₂	#11743494	1	1	yes	characteristic
1434	C₂	#11743534	1	1	yes	characteristic
1435	C₂	#11743590	1	1	yes	characteristic
1436	C₂	#11743636	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator	C₂²×C₇	C₂⁴×C₄
Fitting	C₇×#2334	C₂
socle, cosocle	C₂³×C₇	C₂⁵
prime radical	C₂⁴×D₇	C₂³
hypercenter	#2334	D₇
hypocenter	C₇	#34381
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2334

Complements

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

N	H ≅ G/N	type
2. C₇×#2334	C₂	semidirect
3. #11740519	C₂	semidirect
4. #11733645	C₂	semidirect
5. #11733640	C₂	semidirect
6. #11733439	C₂	semidirect
7. #11733421	C₂	semidirect
11. #11732939	C₂	semidirect
12. #11732930	C₂	semidirect
13. #11732912	C₂	semidirect
14. #11732741	C₂	semidirect
15. #11732425	C₂	semidirect
16. #11732418	C₂	semidirect
17. #11732407	C₂	semidirect
18. #11732406	C₂	semidirect
19. #11732400	C₂	semidirect
22. #11731848	C₂	semidirect
23. #11731834	C₂	semidirect
24. #11731600	C₂	semidirect
25. #11731593	C₂	semidirect
26. #11731213	C₂	semidirect
27. #11731197	C₂	semidirect
28. #11731111	C₂	semidirect
29. #11731073	C₂	semidirect
31. #11730922	C₂	semidirect
34. D₇×#126	C₄	semidirect
54. C₇×#389	C₂²	semidirect
55. C₇×#389	C₂²	semidirect
59. C₇×#387	C₂²	semidirect
60. C₇×#387	C₂²	semidirect
61. C₇×#387	C₂²	semidirect
64. C₇×#382	C₂²	semidirect
65. C₄×C₇×C₄⋊C₄	C₂²	semidirect
66. C₄×C₇×C₄⋊C₄	C₂²	semidirect
82. #89757	C₂²	semidirect
83. #89757	C₂²	semidirect
84. #89753	C₂²	semidirect
85. #89753	C₂²	semidirect
86. #89753	C₂²	semidirect
87. #89750	C₂²	semidirect
88. #89750	C₂²	semidirect
89. #89750	C₂²	semidirect
90. #89749	C₂²	semidirect
91. #89749	C₂²	semidirect
92. #89748	C₂²	semidirect
93. #89748	C₂²	semidirect
94. C₄⋊C₄×Dic₇	C₂²	semidirect
95. C₄⋊C₄×Dic₇	C₂²	semidirect
96. #89745	C₂²	semidirect
97. #89745	C₂²	semidirect
98. #89744	C₂²	semidirect
99. #89744	C₂²	semidirect
100. #89744	C₂²	semidirect
101. #89744	C₂²	semidirect
128. #89708	C₂²	semidirect
129. C₄×C₄⋊Dic₇	C₂²	semidirect
130. C₄×C₄⋊Dic₇	C₂²	semidirect
131. #89705	C₂²	semidirect
132. #89705	C₂²	semidirect
133. #89705	C₂²	semidirect
134. #89704	C₂²	semidirect
135. #89704	C₂²	semidirect
136. C₄×Dic₇⋊C₄	C₂²	semidirect
137. C₄×Dic₇⋊C₄	C₂²	semidirect
138. #89700	C₂²	semidirect
139. #89700	C₂²	semidirect
164. #89427	C₂²	semidirect
165. #89427	C₂²	semidirect
166. #89427	C₂²	semidirect
167. #89426	C₂²	semidirect
168. #89426	C₂²	semidirect
169. #89426	C₂²	semidirect
170. #89425	C₂²	semidirect
171. #89425	C₂²	semidirect
172. #89425	C₂²	semidirect
173. #89424	C₂²	semidirect
174. #89424	C₂²	semidirect
175. #89424	C₂²	semidirect
176. #89423	C₂²	semidirect
177. #89423	C₂²	semidirect
178. #89421	C₂²	semidirect
179. #89421	C₂²	semidirect
180. #89421	C₂²	semidirect
181. #89421	C₂²	semidirect
182. #89421	C₂²	semidirect
183. #89421	C₂²	semidirect
184. #89419	C₂²	semidirect
185. #89419	C₂²	semidirect
186. #89419	C₂²	semidirect
187. #89419	C₂²	semidirect
200. C₇×#126	C₂×C₄	semidirect
298. #6461	C₂×C₄	semidirect
299. #6461	C₂×C₄	semidirect
300. #6461	C₂×C₄	semidirect
304. D₇×C₄⋊C₄	C₂×C₄	semidirect
305. D₇×C₄⋊C₄	C₂×C₄	semidirect
306. D₇×C₄⋊C₄	C₂×C₄	semidirect
311. #6442	C₂×C₄	semidirect
312. #6442	C₂×C₄	semidirect
313. #6442	C₂×C₄	semidirect
314. #6439	C₂×C₄	semidirect
316. C₄²×D₇	C₂×C₄	semidirect
389. #2334	D₇	semidirect
596. #389	C₂×D₇	semidirect
597. #389	C₂×D₇	semidirect
643. #387	C₂×D₇	semidirect
644. #387	C₂×D₇	semidirect
645. #387	C₂×D₇	semidirect
669. #382	C₂×D₇	semidirect
698. C₄×C₄⋊C₄	C₂×D₇	semidirect
699. C₄×C₄⋊C₄	C₂×D₇	semidirect
857. #126	C₄×D₇	semidirect
1369. C₇	#34381	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₇×#126	2
C₇×#2334	2
#11740519	2
#11733645	2
#11733640	2
#11733439	2
#11733421	2
#11733278	2
#11733270	2
#11732939	2
#11732930	2
#11732912	2
#11732741	2
#11732425	2
#11732418	2
#11732407	2
#11732406	2
#11732400	2
#11732040	2
#11732036	2
#11731848	2
#11731834	2
#11731600	2
#11731593	2
#11731213	2
#11731197	2
#11731111	2
#11731073	2
#11731019	2
#11730922	2
#34381	7