Subgroups — C₇×#36725 #13213941

Order 1792.

3282 conjugacy classes of subgroups.

The subgroup lattice has 1092 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2846	C₂	1	2	yes	maximal, complemented
2	C₇×#2736	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#2735	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#2735	C₂	1	2	yes	maximal, complemented
5	C₇×#2697	C₂	1	2	yes	maximal, complemented
6	C₇×#2685	C₂	1	2	yes	maximal, complemented
7	C₇×#2685	C₂	1	2	yes	maximal, complemented
8	C₇×#2684	C₂	1	2	yes	maximal, complemented
9	C₇×#2678	C₂	1	2	yes	maximal, complemented
10	C₇×#2670	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#2668	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#2626	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#2617	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2480	C₂	1	2	yes	maximal, complemented
15	C₇×#2472	C₂	1	2	yes	maximal, complemented
16	C₇×#2424	C₂	1	2	yes	maximal, complemented
17	C₇×#2418	C₂	1	2	yes	maximal, complemented
18	C₇×#2321	C₂	1	2	yes	maximal, complemented
19	C₂×C₇×#379	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂⁶×C₇	C₂²	1	1	yes	characteristic
21	C₂×C₇×#126	C₂²	1	2	yes	complemented
22	C₂×C₇×#124	C₂²	1	2	yes	complemented
23	C₂×C₇×#123	C₂²	1	2	yes	complemented
24	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
25	C₂×C₇×#121	C₂²	1	2	yes	complemented
26	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₇×#120	C₂²	1	2	yes	—
28	C₂×C₇×#120	C₂²	1	2	yes	—
29	C₂×C₇×#120	C₂²	1	2	yes	—
30	C₂×C₇×#120	C₂²	1	2	yes	—
31	C₂×C₇×#120	C₂²	1	2	yes	—
32	C₂×C₇×#120	C₂²	1	2	yes	—
33	C₂×C₇×#120	C₂²	1	2	yes	—
34	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
35	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
36	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
37	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
38	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
39	C₇×#399	C₂²	1	1	yes	characteristic, complemented
40	C₇×#399	C₂²	1	2	yes	complemented
41	C₇×#399	C₂²	1	1	yes	characteristic, complemented
42	C₇×#397	C₂²	1	2	yes	complemented
43	C₇×#397	C₂²	1	2	yes	complemented
44	C₇×#397	C₂²	1	2	yes	complemented
45	C₇×#397	C₂²	1	2	yes	complemented
46	C₇×#397	C₂²	1	2	yes	complemented
47	C₇×#397	C₂²	1	1	yes	characteristic, complemented
48	C₇×#397	C₂²	1	1	yes	characteristic, complemented
49	C₇×#396	C₂²	1	2	yes	complemented
50	C₇×#396	C₂²	1	2	yes	complemented
51	C₇×#396	C₂²	1	2	yes	complemented
52	C₇×#396	C₂²	1	2	yes	complemented
53	C₇×#394	C₂²	1	2	yes	complemented
54	C₇×#394	C₂²	1	2	yes	complemented
55	C₇×#394	C₂²	1	2	yes	complemented
56	C₇×#394	C₂²	1	2	yes	complemented
57	C₇×#394	C₂²	1	2	yes	complemented
58	C₇×#394	C₂²	1	2	yes	complemented
59	C₇×#394	C₂²	1	2	yes	complemented
60	C₇×#394	C₂²	1	2	yes	complemented
61	C₇×#393	C₂²	1	1	yes	characteristic, complemented
62	C₇×#393	C₂²	1	1	yes	characteristic, complemented
63	C₇×#393	C₂²	1	2	yes	complemented
64	C₇×#392	C₂²	1	1	yes	characteristic, complemented
65	C₇×#392	C₂²	1	2	yes	complemented
66	C₇×#392	C₂²	1	1	yes	characteristic, complemented
67	C₇×#390	C₂²	1	2	yes	complemented
68	C₇×#390	C₂²	1	2	yes	complemented
69	C₇×#390	C₂²	1	2	yes	complemented
70	C₇×#390	C₂²	1	2	yes	complemented
71	C₇×#388	C₂²	1	2	yes	complemented
72	C₇×#388	C₂²	1	2	yes	complemented
73	C₇×#388	C₂²	1	2	yes	complemented
74	C₇×#388	C₂²	1	2	yes	complemented
75	C₇×#388	C₂²	1	2	yes	complemented
76	C₇×#388	C₂²	1	2	yes	complemented
77	C₇×#388	C₂²	1	2	yes	complemented
78	C₇×#388	C₂²	1	2	yes	complemented
79	C₇×#388	C₂²	1	2	yes	complemented
80	C₇×#388	C₂²	1	2	yes	complemented
81	C₇×#388	C₂²	1	2	yes	complemented
82	C₇×#388	C₂²	1	2	yes	complemented
83	C₇×#386	C₂²	1	2	yes	complemented
84	C₇×#386	C₂²	1	2	yes	complemented
85	C₇×#386	C₂²	1	2	yes	complemented
86	C₇×#386	C₂²	1	2	yes	complemented
87	C₇×#386	C₂²	1	2	yes	complemented
88	C₇×#386	C₂²	1	2	yes	complemented
89	C₇×#385	C₂²	1	2	yes	complemented
90	C₇×#385	C₂²	1	2	yes	complemented
91	C₇×#380	C₂²	1	1	yes	characteristic, complemented
92	C₇×#380	C₂²	1	1	yes	characteristic, complemented
93	C₇×#379	C₂²	1	1	yes	characteristic
94	C₇×#379	C₂²	1	1	yes	characteristic
95	C₇×#379	C₂²	1	2	yes	—
96	C₇×#379	C₂²	1	2	yes	—
97	C₇×#379	C₂²	1	2	yes	—
98	C₇×#379	C₂²	1	2	yes	—
99	C₇×#379	C₂²	1	1	yes	characteristic
100	C₇×#379	C₂²	1	2	yes	—
101	C₇×#379	C₂²	1	2	yes	—
102	C₇×#379	C₂²	1	1	yes	characteristic
103	C₇×#379	C₂²	1	2	yes	—
104	C₇×#379	C₂²	1	2	yes	—
105	C₇×#379	C₂²	1	2	yes	—
106	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
107	#36725	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
108	C₂⁵×C₇	—	2	4	no	—
109	C₂⁵×C₇	—	4	4	no	—
110	C₂⁵×C₇	—	4	4	no	—
111	C₂⁵×C₇	—	4	2	no	—
112	C₂⁵×C₇	—	4	2	no	—
113	C₂⁵×C₇	C₂³	1	2	yes	—
114	C₂⁵×C₇	C₂³	1	1	yes	characteristic
115	C₂⁵×C₇	C₂³	1	1	yes	characteristic
116	C₂⁵×C₇	C₂³	1	2	yes	—
117	C₂⁵×C₇	C₂³	1	1	yes	characteristic
118	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic, complemented
119	C₂²×C₇×D₄	C₂³	1	2	yes	—
120	C₂²×C₇×D₄	C₂³	1	2	yes	—
121	C₂²×C₇×D₄	C₂³	1	2	yes	—
122	C₂²×C₇×D₄	C₂³	1	2	yes	—
123	C₂²×C₇×D₄	C₂³	1	2	yes	—
124	C₂²×C₇×D₄	C₂³	1	2	yes	—
125	C₂²×C₇×D₄	C₂³	1	2	yes	—
126	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic, complemented
127	C₂³×C₄×C₇	C₂³	1	2	yes	—
128	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
129	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
130	C₂³×C₄×C₇	C₂³	1	2	yes	complemented
131	C₇×#126	—	4	4	no	—
132	C₇×#124	—	4	4	no	—
133	C₇×#123	—	4	4	no	—
134	C₇×C₂²⋊Q₈	—	4	2	no	—
135	C₇×#121	—	4	4	no	—
136	C₇×#121	—	4	2	no	—
137	C₇×#120	—	2	8	no	—
138	C₇×#120	—	4	4	no	—
139	C₇×#120	—	4	4	no	—
140	C₇×#120	—	4	4	no	—
141	C₇×#120	—	4	4	no	—
142	C₇×#120	—	4	4	no	—
143	C₇×#120	—	4	4	no	—
144	C₄×C₇×D₄	—	4	4	no	—
145	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	complemented
146	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	complemented
147	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	complemented
148	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	complemented
149	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	complemented
150	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	complemented
151	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	complemented
152	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
153	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
154	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	complemented
155	C₂×C₇×C₂²⋊C₄	—	4	4	no	—
156	C₂×C₇×C₂²⋊C₄	—	4	4	no	—
157	C₂×C₇×C₂²⋊C₄	—	4	2	no	—
158	C₂×C₇×C₂²⋊C₄	—	4	2	no	—
159	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
160	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
161	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
162	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
163	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
164	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
165	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
166	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
167	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
168	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
169	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
170	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
171	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
173	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
174	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
175	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
176	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
177	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
178	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
179	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
181	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
182	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
183	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
184	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
186	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
188	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
193	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
195	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	complemented
196	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	complemented
197	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	complemented
198	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	complemented
199	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	complemented
200	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	complemented
201	C₂×C₄²×C₇	C₂³	1	2	yes	complemented
202	C₂×C₄²×C₇	C₂³	1	2	yes	complemented
203	C₂×C₄²×C₇	C₂³	1	2	yes	complemented
204	C₇×#95	C₂³	1	2	yes	complemented
205	C₇×#95	C₂³	1	2	yes	complemented
206	C₇×#95	C₂³	1	1	yes	characteristic, complemented
207	C₇×#95	C₂³	1	1	yes	characteristic, complemented
208	C₇×#95	C₂³	1	1	yes	characteristic, complemented
209	C₇×#95	C₂³	1	1	yes	characteristic, complemented
210	C₇×#95	C₂³	1	2	yes	complemented
211	C₇×#95	C₂³	1	2	yes	complemented
212	C₇×#95	C₂³	1	2	yes	complemented
213	C₇×#95	C₂³	1	2	yes	complemented
214	C₇×#95	C₂³	1	2	yes	complemented
215	C₇×#95	C₂³	1	2	yes	complemented
216	C₇×#95	C₂³	1	2	yes	complemented
217	C₇×#95	C₂³	1	2	yes	complemented
218	#2846	C₂×C₇	1	2	yes	complemented
219	#2736	C₂×C₇	1	1	yes	characteristic, complemented
220	#2735	C₂×C₇	1	2	yes	complemented
221	#2735	C₂×C₇	1	1	yes	characteristic, complemented
222	#2697	C₂×C₇	1	2	yes	complemented
223	#2685	C₂×C₇	1	2	yes	complemented
224	#2685	C₂×C₇	1	2	yes	complemented
225	#2684	C₂×C₇	1	2	yes	complemented
226	#2678	C₂×C₇	1	2	yes	complemented
227	#2670	C₂×C₇	1	1	yes	characteristic, complemented
228	#2668	C₂×C₇	1	1	yes	characteristic, complemented
229	#2626	C₂×C₇	1	1	yes	characteristic, complemented
230	#2617	C₂×C₇	1	1	yes	characteristic, complemented
231	#2480	C₂×C₇	1	2	yes	complemented
232	#2472	C₂×C₇	1	2	yes	complemented
233	#2424	C₂×C₇	1	2	yes	complemented
234	#2418	C₂×C₇	1	2	yes	complemented
235	#2321	C₂×C₇	1	2	yes	complemented
236	C₂×#379	C₂×C₇	1	1	yes	characteristic, complemented
237	C₂⁴×C₇	—	2	4	no	—
238	C₂⁴×C₇	—	2	4	no	—
239	C₂⁴×C₇	—	2	4	no	—
240	C₂⁴×C₇	—	2	2	no	—
241	C₂⁴×C₇	—	2	2	no	—
242	C₂⁴×C₇	—	2	2	no	—
243	C₂⁴×C₇	—	2	2	no	—
244	C₂⁴×C₇	—	2	4	no	—
245	C₂⁴×C₇	—	2	4	no	—
246	C₂⁴×C₇	—	2	4	no	—
247	C₂⁴×C₇	—	2	4	no	—
248	C₂⁴×C₇	—	2	4	no	—
249	C₂⁴×C₇	—	2	4	no	—
250	C₂⁴×C₇	—	2	4	no	—
251	C₂⁴×C₇	—	4	2	no	—
252	C₂⁴×C₇	—	4	2	no	—
253	C₂⁴×C₇	—	4	2	no	—
254	C₂⁴×C₇	—	4	2	no	—
255	C₂⁴×C₇	—	4	1	no	—
256	C₂⁴×C₇	—	4	1	no	—
257	C₂⁴×C₇	—	4	2	no	—
258	C₂⁴×C₇	—	4	2	no	—
259	C₂⁴×C₇	—	4	2	no	—
260	C₂⁴×C₇	—	4	2	no	—
261	C₂⁴×C₇	—	4	2	no	—
262	C₂⁴×C₇	—	4	1	no	—
263	C₂⁴×C₇	—	4	1	no	—
264	C₂⁴×C₇	—	4	2	no	—
265	C₂⁴×C₇	—	4	32	no	—
266	C₂⁴×C₇	—	4	16	no	—
267	C₂⁴×C₇	—	4	32	no	—
268	C₂⁴×C₇	—	4	16	no	—
269	C₂⁴×C₇	—	4	16	no	—
270	C₂⁴×C₇	#41	1	4	yes	—
271	C₂⁴×C₇	C₂⁴	1	2	yes	—
272	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
273	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
274	C₂⁴×C₇	C₂⁴	1	2	yes	—
275	C₂⁴×C₇	C₂⁴	1	2	yes	—
276	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
277	C₂×C₇×Q₈	—	4	1	no	—
278	C₂×C₇×Q₈	—	4	2	no	—
279	C₂×C₇×D₄	—	2	4	no	—
280	C₂×C₇×D₄	—	2	4	no	—
281	C₂×C₇×D₄	—	2	4	no	—
282	C₂×C₇×D₄	—	2	4	no	—
283	C₂×C₇×D₄	—	2	4	no	—
284	C₂×C₇×D₄	—	2	4	no	—
285	C₂×C₇×D₄	—	2	4	no	—
286	C₂×C₇×D₄	—	2	4	no	—
287	C₂×C₇×D₄	—	2	4	no	—
288	C₂×C₇×D₄	—	4	2	no	—
289	C₂×C₇×D₄	—	4	2	no	—
290	C₂×C₇×D₄	—	4	2	no	—
291	C₂×C₇×D₄	—	4	2	no	—
292	C₂×C₇×D₄	—	4	2	no	—
293	C₂×C₇×D₄	—	4	2	no	—
294	C₂×C₇×D₄	—	4	2	no	—
295	C₂×C₇×D₄	—	4	2	no	—
296	C₂×C₇×D₄	—	4	2	no	—
297	C₂×C₇×D₄	—	4	2	no	—
298	C₂×C₇×D₄	—	4	2	no	—
299	C₂×C₇×D₄	—	4	2	no	—
300	C₂×C₇×D₄	—	4	2	no	—
301	C₂×C₇×D₄	—	4	1	no	—
302	C₂²×C₄×C₇	—	2	4	no	—
303	C₂²×C₄×C₇	—	2	2	no	—
304	C₂²×C₄×C₇	—	2	2	no	—
305	C₂²×C₄×C₇	—	4	2	no	—
306	C₂²×C₄×C₇	—	4	2	no	—
307	C₂²×C₄×C₇	—	4	2	no	—
308	C₂²×C₄×C₇	—	4	2	no	—
309	C₂²×C₄×C₇	—	4	2	no	—
310	C₂²×C₄×C₇	—	4	2	no	—
311	C₂²×C₄×C₇	—	4	2	no	—
312	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
313	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
314	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
315	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
316	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
317	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
318	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
319	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
320	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
321	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
322	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
323	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
324	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
325	C₇×C₄⋊C₄	—	4	2	no	—
326	C₇×C₄⋊C₄	—	4	2	no	—
327	C₇×C₄⋊C₄	—	4	1	no	—
328	C₇×C₄⋊C₄	—	4	1	no	—
329	C₇×C₄⋊C₄	—	4	2	no	—
330	C₇×C₄⋊C₄	—	4	2	no	—
331	C₇×C₄⋊C₄	—	4	2	no	—
332	C₇×C₄⋊C₄	—	4	2	no	—
333	C₇×C₄⋊C₄	—	4	2	no	—
334	C₇×C₄⋊C₄	—	4	2	no	—
335	C₇×C₂²⋊C₄	—	2	4	no	—
336	C₇×C₂²⋊C₄	—	2	4	no	—
337	C₇×C₂²⋊C₄	—	2	4	no	—
338	C₇×C₂²⋊C₄	—	2	4	no	—
339	C₇×C₂²⋊C₄	—	2	4	no	—
340	C₇×C₂²⋊C₄	—	2	4	no	—
341	C₇×C₂²⋊C₄	—	2	4	no	—
342	C₇×C₂²⋊C₄	—	2	4	no	—
343	C₇×C₂²⋊C₄	—	2	4	no	—
344	C₇×C₂²⋊C₄	—	2	4	no	—
345	C₇×C₂²⋊C₄	—	2	4	no	—
346	C₇×C₂²⋊C₄	—	2	4	no	—
347	C₇×C₂²⋊C₄	—	2	4	no	—
348	C₇×C₂²⋊C₄	—	4	2	no	—
349	C₇×C₂²⋊C₄	—	4	2	no	—
350	C₇×C₂²⋊C₄	—	4	1	no	—
351	C₇×C₂²⋊C₄	—	4	2	no	—
352	C₇×C₂²⋊C₄	—	4	2	no	—
353	C₇×C₂²⋊C₄	—	4	2	no	—
354	C₇×C₂²⋊C₄	—	4	1	no	—
355	C₇×C₂²⋊C₄	—	4	1	no	—
356	C₇×C₂²⋊C₄	—	4	1	no	—
357	C₇×C₂²⋊C₄	—	4	1	no	—
358	C₇×C₂²⋊C₄	—	4	1	no	—
359	C₇×C₂²⋊C₄	—	4	2	no	—
360	C₇×C₂²⋊C₄	—	4	2	no	—
361	C₇×C₂²⋊C₄	—	4	2	no	—
362	C₇×C₂²⋊C₄	—	4	2	no	—
363	C₇×C₂²⋊C₄	—	4	2	no	—
364	C₇×C₂²⋊C₄	—	4	2	no	—
365	C₇×C₂²⋊C₄	—	4	2	no	—
366	C₇×C₂²⋊C₄	—	4	2	no	—
367	C₇×C₂²⋊C₄	—	4	2	no	—
368	C₇×C₂²⋊C₄	—	4	2	no	—
369	C₇×C₂²⋊C₄	—	4	2	no	—
370	C₇×C₂²⋊C₄	—	4	2	no	—
371	C₇×C₂²⋊C₄	—	4	2	no	—
372	C₇×C₂²⋊C₄	—	4	2	no	—
373	C₇×C₂²⋊C₄	—	4	2	no	—
374	C₇×C₂²⋊C₄	—	4	2	no	—
375	C₇×C₂²⋊C₄	—	4	2	no	—
376	C₇×C₂²⋊C₄	—	4	2	no	—
377	C₄²×C₇	—	4	2	no	—
378	C₄²×C₇	—	4	2	no	—
379	C₄²×C₇	—	4	2	no	—
380	C₂⁶	C₂²×C₇	1	1	yes	characteristic
381	C₂×#126	C₂²×C₇	1	2	yes	complemented
382	C₂×#124	C₂²×C₇	1	2	yes	complemented
383	C₂×#123	C₂²×C₇	1	2	yes	complemented
384	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
385	C₂×#121	C₂²×C₇	1	2	yes	complemented
386	C₂×#121	C₂²×C₇	1	1	yes	characteristic, complemented
387	C₂×#120	C₂²×C₇	1	2	yes	—
388	C₂×#120	C₂²×C₇	1	2	yes	—
389	C₂×#120	C₂²×C₇	1	2	yes	—
390	C₂×#120	C₂²×C₇	1	2	yes	—
391	C₂×#120	C₂²×C₇	1	2	yes	—
392	C₂×#120	C₂²×C₇	1	2	yes	—
393	C₂×#120	C₂²×C₇	1	2	yes	—
394	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
395	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
396	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
397	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
398	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
399	#399	C₂²×C₇	1	1	yes	characteristic, complemented
400	#399	C₂²×C₇	1	1	yes	characteristic, complemented
401	#399	C₂²×C₇	1	2	yes	complemented
402	#397	C₂²×C₇	1	1	yes	characteristic, complemented
403	#397	C₂²×C₇	1	1	yes	characteristic, complemented
404	#397	C₂²×C₇	1	2	yes	complemented
405	#397	C₂²×C₇	1	2	yes	complemented
406	#397	C₂²×C₇	1	2	yes	complemented
407	#397	C₂²×C₇	1	2	yes	complemented
408	#397	C₂²×C₇	1	2	yes	complemented
409	#396	C₂²×C₇	1	2	yes	complemented
410	#396	C₂²×C₇	1	2	yes	complemented
411	#396	C₂²×C₇	1	2	yes	complemented
412	#396	C₂²×C₇	1	2	yes	complemented
413	#394	C₂²×C₇	1	2	yes	complemented
414	#394	C₂²×C₇	1	2	yes	complemented
415	#394	C₂²×C₇	1	2	yes	complemented
416	#394	C₂²×C₇	1	2	yes	complemented
417	#394	C₂²×C₇	1	2	yes	complemented
418	#394	C₂²×C₇	1	2	yes	complemented
419	#394	C₂²×C₇	1	2	yes	complemented
420	#394	C₂²×C₇	1	2	yes	complemented
421	#393	C₂²×C₇	1	1	yes	characteristic, complemented
422	#393	C₂²×C₇	1	1	yes	characteristic, complemented
423	#393	C₂²×C₇	1	2	yes	complemented
424	#392	C₂²×C₇	1	1	yes	characteristic, complemented
425	#392	C₂²×C₇	1	1	yes	characteristic, complemented
426	#392	C₂²×C₇	1	2	yes	complemented
427	#390	C₂²×C₇	1	2	yes	complemented
428	#390	C₂²×C₇	1	2	yes	complemented
429	#390	C₂²×C₇	1	2	yes	complemented
430	#390	C₂²×C₇	1	2	yes	complemented
431	#388	C₂²×C₇	1	2	yes	complemented
432	#388	C₂²×C₇	1	2	yes	complemented
433	#388	C₂²×C₇	1	2	yes	complemented
434	#388	C₂²×C₇	1	2	yes	complemented
435	#388	C₂²×C₇	1	2	yes	complemented
436	#388	C₂²×C₇	1	2	yes	complemented
437	#388	C₂²×C₇	1	2	yes	complemented
438	#388	C₂²×C₇	1	2	yes	complemented
439	#388	C₂²×C₇	1	2	yes	complemented
440	#388	C₂²×C₇	1	2	yes	complemented
441	#388	C₂²×C₇	1	2	yes	complemented
442	#388	C₂²×C₇	1	2	yes	complemented
443	#386	C₂²×C₇	1	2	yes	complemented
444	#386	C₂²×C₇	1	2	yes	complemented
445	#386	C₂²×C₇	1	2	yes	complemented
446	#386	C₂²×C₇	1	2	yes	complemented
447	#386	C₂²×C₇	1	2	yes	complemented
448	#386	C₂²×C₇	1	2	yes	complemented
449	#385	C₂²×C₇	1	2	yes	complemented
450	#385	C₂²×C₇	1	2	yes	complemented
451	#380	C₂²×C₇	1	1	yes	characteristic, complemented
452	#380	C₂²×C₇	1	1	yes	characteristic, complemented
453	#379	C₂²×C₇	1	2	yes	—
454	#379	C₂²×C₇	1	2	yes	—
455	#379	C₂²×C₇	1	2	yes	—
456	#379	C₂²×C₇	1	2	yes	—
457	#379	C₂²×C₇	1	2	yes	—
458	#379	C₂²×C₇	1	2	yes	—
459	#379	C₂²×C₇	1	2	yes	—
460	#379	C₂²×C₇	1	1	yes	characteristic
461	#379	C₂²×C₇	1	1	yes	characteristic
462	#379	C₂²×C₇	1	2	yes	—
463	#379	C₂²×C₇	1	2	yes	—
464	#379	C₂²×C₇	1	1	yes	characteristic
465	#379	C₂²×C₇	1	1	yes	characteristic
466	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
467	C₂³×C₇	—	2	2	no	—
468	C₂³×C₇	—	2	2	no	—
469	C₂³×C₇	—	2	16	no	—
470	C₂³×C₇	—	2	8	no	—
471	C₂³×C₇	—	2	2	no	—
472	C₂³×C₇	—	2	2	no	—
473	C₂³×C₇	—	2	1	no	—
474	C₂³×C₇	—	2	1	no	—
475	C₂³×C₇	—	2	1	no	—
476	C₂³×C₇	—	2	1	no	—
477	C₂³×C₇	—	2	2	no	—
478	C₂³×C₇	—	2	2	no	—
479	C₂³×C₇	—	2	2	no	—
480	C₂³×C₇	—	2	2	no	—
481	C₂³×C₇	—	2	2	no	—
482	C₂³×C₇	—	2	2	no	—
483	C₂³×C₇	—	2	2	no	—
484	C₂³×C₇	—	2	2	no	—
485	C₂³×C₇	—	2	2	no	—
486	C₂³×C₇	—	2	2	no	—
487	C₂³×C₇	—	2	2	no	—
488	C₂³×C₇	—	2	2	no	—
489	C₂³×C₇	—	2	2	no	—
490	C₂³×C₇	—	2	2	no	—
491	C₂³×C₇	—	2	2	no	—
492	C₂³×C₇	—	2	2	no	—
493	C₂³×C₇	—	2	2	no	—
494	C₂³×C₇	—	2	2	no	—
495	C₂³×C₇	—	2	2	no	—
496	C₂³×C₇	—	2	2	no	—
497	C₂³×C₇	—	2	2	no	—
498	C₂³×C₇	—	4	8	no	—
499	C₂³×C₇	—	4	8	no	—
500	C₂³×C₇	—	4	8	no	—
501	C₂³×C₇	—	4	8	no	—
502	C₂³×C₇	—	4	8	no	—
503	C₂³×C₇	—	4	8	no	—
504	C₂³×C₇	—	4	8	no	—
505	C₂³×C₇	—	4	8	no	—
506	C₂³×C₇	—	4	8	no	—
507	C₂³×C₇	—	4	8	no	—
508	C₂³×C₇	—	4	4	no	—
509	C₂³×C₇	—	4	4	no	—
510	C₂³×C₇	—	4	8	no	—
511	C₂³×C₇	—	4	8	no	—
512	C₂³×C₇	—	4	4	no	—
513	C₂³×C₇	—	4	4	no	—
514	C₂³×C₇	—	4	4	no	—
515	C₂³×C₇	—	4	4	no	—
516	C₂³×C₇	—	4	8	no	—
517	C₂³×C₇	—	4	8	no	—
518	C₂³×C₇	—	4	8	no	—
519	C₂³×C₇	—	4	8	no	—
520	C₂³×C₇	—	4	8	no	—
521	C₂³×C₇	—	4	128	no	—
522	C₂³×C₇	—	4	8	no	—
523	C₂³×C₇	—	4	4	no	—
524	C₂³×C₇	—	4	4	no	—
525	C₂³×C₇	—	4	8	no	—
526	C₂³×C₇	C₂×#41	1	2	yes	—
527	C₂³×C₇	C₂×#41	1	2	yes	—
528	C₂³×C₇	C₂×#41	1	2	yes	—
529	C₂³×C₇	H(5,𝔽₂)	1	4	yes	—
530	C₂³×C₇	H(5,𝔽₂)	1	4	yes	—
531	C₂³×C₇	H(5,𝔽₂)	1	2	yes	—
532	C₂³×C₇	H(5,𝔽₂)	1	2	yes	—
533	C₂³×C₇	C₂⁵	1	1	yes	characteristic
534	C₇×Q₈	—	8	2	no	—
535	C₇×D₄	—	4	8	no	—
536	C₇×D₄	—	8	4	no	—
537	C₇×D₄	—	8	4	no	—
538	C₇×D₄	—	8	4	no	—
539	C₇×D₄	—	8	4	no	—
540	C₇×D₄	—	8	4	no	—
541	C₇×D₄	—	8	4	no	—
542	C₇×D₄	—	8	2	no	—
543	C₂×C₄×C₇	—	2	2	no	—
544	C₂×C₄×C₇	—	2	2	no	—
545	C₂×C₄×C₇	—	2	2	no	—
546	C₂×C₄×C₇	—	2	2	no	—
547	C₂×C₄×C₇	—	2	2	no	—
548	C₂×C₄×C₇	—	2	2	no	—
549	C₂×C₄×C₇	—	2	2	no	—
550	C₂×C₄×C₇	—	2	2	no	—
551	C₂×C₄×C₇	—	2	2	no	—
552	C₂×C₄×C₇	—	2	2	no	—
553	C₂×C₄×C₇	—	2	2	no	—
554	C₂×C₄×C₇	—	2	2	no	—
555	C₂×C₄×C₇	—	2	2	no	—
556	C₂×C₄×C₇	—	2	2	no	—
557	C₂×C₄×C₇	—	2	2	no	—
558	C₂×C₄×C₇	—	2	2	no	—
559	C₂×C₄×C₇	—	2	2	no	—
560	C₂×C₄×C₇	—	2	2	no	—
561	C₂×C₄×C₇	—	2	2	no	—
562	C₂×C₄×C₇	—	2	2	no	—
563	C₂×C₄×C₇	—	2	2	no	—
564	C₂×C₄×C₇	—	2	2	no	—
565	C₂×C₄×C₇	—	2	2	no	—
566	C₂×C₄×C₇	—	2	2	no	—
567	C₂×C₄×C₇	—	2	2	no	—
568	C₂×C₄×C₇	—	2	2	no	—
569	C₂×C₄×C₇	—	2	1	no	—
570	C₂×C₄×C₇	—	2	2	no	—
571	C₂×C₄×C₇	—	2	2	no	—
572	C₂×C₄×C₇	—	2	2	no	—
573	C₂×C₄×C₇	—	2	1	no	—
574	C₂×C₄×C₇	—	2	2	no	—
575	C₂×C₄×C₇	—	2	1	no	—
576	C₂×C₄×C₇	—	2	1	no	—
577	C₂×C₄×C₇	—	2	2	no	—
578	C₂×C₄×C₇	—	8	4	no	—
579	C₂×C₄×C₇	—	8	2	no	—
580	C₂×C₄×C₇	—	8	2	no	—
581	C₂×C₄×C₇	—	8	4	no	—
582	C₂⁵	—	2	4	no	—
583	C₂⁵	—	4	4	no	—
584	C₂⁵	—	4	4	no	—
585	C₂⁵	—	4	2	no	—
586	C₂⁵	—	4	2	no	—
587	C₂⁵	C₂³×C₇	1	2	yes	—
588	C₂⁵	C₂³×C₇	1	1	yes	characteristic
589	C₂⁵	C₂³×C₇	1	1	yes	characteristic
590	C₂⁵	C₂³×C₇	1	2	yes	—
591	C₂⁵	C₂³×C₇	1	1	yes	characteristic
592	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic, complemented
593	C₂²×D₄	C₂³×C₇	1	2	yes	—
594	C₂²×D₄	C₂³×C₇	1	2	yes	—
595	C₂²×D₄	C₂³×C₇	1	2	yes	—
596	C₂²×D₄	C₂³×C₇	1	2	yes	—
597	C₂²×D₄	C₂³×C₇	1	2	yes	—
598	C₂²×D₄	C₂³×C₇	1	2	yes	—
599	C₂²×D₄	C₂³×C₇	1	2	yes	—
600	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic, complemented
601	C₂³×C₄	C₂³×C₇	1	2	yes	—
602	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
603	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
604	C₂³×C₄	C₂³×C₇	1	2	yes	complemented
605	#126	—	4	4	no	—
606	#124	—	4	4	no	—
607	#123	—	4	4	no	—
608	C₂²⋊Q₈	—	4	2	no	—
609	#121	—	4	4	no	—
610	#121	—	4	2	no	—
611	#120	—	2	8	no	—
612	#120	—	4	4	no	—
613	#120	—	4	4	no	—
614	#120	—	4	4	no	—
615	#120	—	4	4	no	—
616	#120	—	4	4	no	—
617	#120	—	4	4	no	—
618	C₄×D₄	—	4	4	no	—
619	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	complemented
620	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	complemented
621	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic, complemented
622	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic, complemented
623	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	complemented
624	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	complemented
625	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	complemented
626	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	complemented
627	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	complemented
628	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	complemented
629	C₂×C₂²⋊C₄	—	4	4	no	—
630	C₂×C₂²⋊C₄	—	4	4	no	—
631	C₂×C₂²⋊C₄	—	4	2	no	—
632	C₂×C₂²⋊C₄	—	4	2	no	—
633	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
634	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
635	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
636	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
637	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
638	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
639	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
640	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
641	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
642	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
643	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
644	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
645	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
646	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
647	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
648	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
649	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
650	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
651	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
652	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
653	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
654	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
655	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
656	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
657	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
658	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
659	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
660	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
661	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
662	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
663	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
664	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
665	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
666	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
667	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
668	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
669	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	complemented
670	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	complemented
671	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	complemented
672	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	complemented
673	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	complemented
674	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	complemented
675	C₂×C₄²	C₂³×C₇	1	2	yes	complemented
676	C₂×C₄²	C₂³×C₇	1	2	yes	complemented
677	C₂×C₄²	C₂³×C₇	1	2	yes	complemented
678	#95	C₂³×C₇	1	2	yes	complemented
679	#95	C₂³×C₇	1	2	yes	complemented
680	#95	C₂³×C₇	1	1	yes	characteristic, complemented
681	#95	C₂³×C₇	1	1	yes	characteristic, complemented
682	#95	C₂³×C₇	1	1	yes	characteristic, complemented
683	#95	C₂³×C₇	1	1	yes	characteristic, complemented
684	#95	C₂³×C₇	1	2	yes	complemented
685	#95	C₂³×C₇	1	2	yes	complemented
686	#95	C₂³×C₇	1	2	yes	complemented
687	#95	C₂³×C₇	1	2	yes	complemented
688	#95	C₂³×C₇	1	2	yes	complemented
689	#95	C₂³×C₇	1	2	yes	complemented
690	#95	C₂³×C₇	1	2	yes	complemented
691	#95	C₂³×C₇	1	2	yes	complemented
692	C₂²×C₇	—	2	4	no	—
693	C₂²×C₇	—	2	4	no	—
694	C₂²×C₇	—	2	2	no	—
695	C₂²×C₇	—	2	2	no	—
696	C₂²×C₇	—	2	2	no	—
697	C₂²×C₇	—	2	2	no	—
698	C₂²×C₇	—	2	4	no	—
699	C₂²×C₇	—	2	4	no	—
700	C₂²×C₇	—	2	4	no	—
701	C₂²×C₇	—	2	4	no	—
702	C₂²×C₇	—	2	4	no	—
703	C₂²×C₇	—	2	4	no	—
704	C₂²×C₇	—	2	4	no	—
705	C₂²×C₇	—	2	4	no	—
706	C₂²×C₇	—	4	32	no	—
707	C₂²×C₇	—	4	16	no	—
708	C₂²×C₇	—	4	32	no	—
709	C₂²×C₇	—	4	16	no	—
710	C₂²×C₇	—	4	16	no	—
711	C₂²×C₇	—	4	2	no	—
712	C₂²×C₇	—	4	2	no	—
713	C₂²×C₇	—	4	2	no	—
714	C₂²×C₇	—	4	2	no	—
715	C₂²×C₇	—	4	2	no	—
716	C₂²×C₇	—	4	1	no	—
717	C₂²×C₇	—	4	1	no	—
718	C₂²×C₇	—	4	2	no	—
719	C₂²×C₇	—	4	2	no	—
720	C₂²×C₇	—	4	2	no	—
721	C₂²×C₇	—	4	2	no	—
722	C₂²×C₇	—	4	2	no	—
723	C₂²×C₇	—	4	1	no	—
724	C₂²×C₇	—	4	1	no	—
725	C₂²×C₇	—	4	2	no	—
726	C₂²×C₇	—	4	2	no	—
727	C₂²×C₇	—	4	2	no	—
728	C₂²×C₇	—	4	2	no	—
729	C₂²×C₇	—	4	2	no	—
730	C₂²×C₇	—	4	2	no	—
731	C₂²×C₇	—	4	2	no	—
732	C₂²×C₇	#538	1	4	yes	—
733	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
734	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
735	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
736	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
737	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
738	C₄×C₇	—	4	2	no	—
739	C₄×C₇	—	4	2	no	—
740	C₄×C₇	—	4	2	no	—
741	C₄×C₇	—	4	2	no	—
742	C₄×C₇	—	4	1	no	—
743	C₄×C₇	—	4	1	no	—
744	C₄×C₇	—	4	2	no	—
745	C₄×C₇	—	4	1	no	—
746	C₄×C₇	—	4	2	no	—
747	C₄×C₇	—	4	1	no	—
748	C₄×C₇	—	4	2	no	—
749	C₄×C₇	—	4	2	no	—
750	C₄×C₇	—	4	2	no	—
751	C₂⁴	—	2	4	no	—
752	C₂⁴	—	2	4	no	—
753	C₂⁴	—	2	4	no	—
754	C₂⁴	—	2	2	no	—
755	C₂⁴	—	2	2	no	—
756	C₂⁴	—	2	2	no	—
757	C₂⁴	—	2	2	no	—
758	C₂⁴	—	2	4	no	—
759	C₂⁴	—	2	4	no	—
760	C₂⁴	—	2	4	no	—
761	C₂⁴	—	2	4	no	—
762	C₂⁴	—	2	4	no	—
763	C₂⁴	—	2	4	no	—
764	C₂⁴	—	2	4	no	—
765	C₂⁴	—	4	2	no	—
766	C₂⁴	—	4	2	no	—
767	C₂⁴	—	4	2	no	—
768	C₂⁴	—	4	2	no	—
769	C₂⁴	—	4	1	no	—
770	C₂⁴	—	4	1	no	—
771	C₂⁴	—	4	2	no	—
772	C₂⁴	—	4	2	no	—
773	C₂⁴	—	4	2	no	—
774	C₂⁴	—	4	2	no	—
775	C₂⁴	—	4	2	no	—
776	C₂⁴	—	4	1	no	—
777	C₂⁴	—	4	1	no	—
778	C₂⁴	—	4	2	no	—
779	C₂⁴	—	4	32	no	—
780	C₂⁴	—	4	16	no	—
781	C₂⁴	—	4	32	no	—
782	C₂⁴	—	4	16	no	—
783	C₂⁴	—	4	16	no	—
784	C₂⁴	C₇×#41	1	4	yes	—
785	C₂⁴	C₂⁴×C₇	1	2	yes	—
786	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
787	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
788	C₂⁴	C₂⁴×C₇	1	2	yes	—
789	C₂⁴	C₂⁴×C₇	1	2	yes	—
790	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
791	C₂×Q₈	—	4	1	no	—
792	C₂×Q₈	—	4	2	no	—
793	C₂×D₄	—	2	4	no	—
794	C₂×D₄	—	2	4	no	—
795	C₂×D₄	—	2	4	no	—
796	C₂×D₄	—	2	4	no	—
797	C₂×D₄	—	2	4	no	—
798	C₂×D₄	—	2	4	no	—
799	C₂×D₄	—	2	4	no	—
800	C₂×D₄	—	2	4	no	—
801	C₂×D₄	—	2	4	no	—
802	C₂×D₄	—	4	2	no	—
803	C₂×D₄	—	4	2	no	—
804	C₂×D₄	—	4	2	no	—
805	C₂×D₄	—	4	2	no	—
806	C₂×D₄	—	4	2	no	—
807	C₂×D₄	—	4	2	no	—
808	C₂×D₄	—	4	2	no	—
809	C₂×D₄	—	4	2	no	—
810	C₂×D₄	—	4	2	no	—
811	C₂×D₄	—	4	2	no	—
812	C₂×D₄	—	4	2	no	—
813	C₂×D₄	—	4	2	no	—
814	C₂×D₄	—	4	2	no	—
815	C₂×D₄	—	4	1	no	—
816	C₂²×C₄	—	2	4	no	—
817	C₂²×C₄	—	2	2	no	—
818	C₂²×C₄	—	2	2	no	—
819	C₂²×C₄	—	4	2	no	—
820	C₂²×C₄	—	4	2	no	—
821	C₂²×C₄	—	4	2	no	—
822	C₂²×C₄	—	4	2	no	—
823	C₂²×C₄	—	4	2	no	—
824	C₂²×C₄	—	4	2	no	—
825	C₂²×C₄	—	4	2	no	—
826	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
827	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
828	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
829	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
830	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
831	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
832	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
833	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
834	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
835	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
836	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
837	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
838	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
839	C₄⋊C₄	—	4	2	no	—
840	C₄⋊C₄	—	4	2	no	—
841	C₄⋊C₄	—	4	1	no	—
842	C₄⋊C₄	—	4	1	no	—
843	C₄⋊C₄	—	4	2	no	—
844	C₄⋊C₄	—	4	2	no	—
845	C₄⋊C₄	—	4	2	no	—
846	C₄⋊C₄	—	4	2	no	—
847	C₄⋊C₄	—	4	2	no	—
848	C₄⋊C₄	—	4	2	no	—
849	C₂²⋊C₄	—	2	4	no	—
850	C₂²⋊C₄	—	2	4	no	—
851	C₂²⋊C₄	—	2	4	no	—
852	C₂²⋊C₄	—	2	4	no	—
853	C₂²⋊C₄	—	2	4	no	—
854	C₂²⋊C₄	—	2	4	no	—
855	C₂²⋊C₄	—	2	4	no	—
856	C₂²⋊C₄	—	2	4	no	—
857	C₂²⋊C₄	—	2	4	no	—
858	C₂²⋊C₄	—	2	4	no	—
859	C₂²⋊C₄	—	2	4	no	—
860	C₂²⋊C₄	—	2	4	no	—
861	C₂²⋊C₄	—	2	4	no	—
862	C₂²⋊C₄	—	4	2	no	—
863	C₂²⋊C₄	—	4	2	no	—
864	C₂²⋊C₄	—	4	1	no	—
865	C₂²⋊C₄	—	4	2	no	—
866	C₂²⋊C₄	—	4	2	no	—
867	C₂²⋊C₄	—	4	2	no	—
868	C₂²⋊C₄	—	4	1	no	—
869	C₂²⋊C₄	—	4	1	no	—
870	C₂²⋊C₄	—	4	1	no	—
871	C₂²⋊C₄	—	4	1	no	—
872	C₂²⋊C₄	—	4	1	no	—
873	C₂²⋊C₄	—	4	2	no	—
874	C₂²⋊C₄	—	4	2	no	—
875	C₂²⋊C₄	—	4	2	no	—
876	C₂²⋊C₄	—	4	2	no	—
877	C₂²⋊C₄	—	4	2	no	—
878	C₂²⋊C₄	—	4	2	no	—
879	C₂²⋊C₄	—	4	2	no	—
880	C₂²⋊C₄	—	4	2	no	—
881	C₂²⋊C₄	—	4	2	no	—
882	C₂²⋊C₄	—	4	2	no	—
883	C₂²⋊C₄	—	4	2	no	—
884	C₂²⋊C₄	—	4	2	no	—
885	C₂²⋊C₄	—	4	2	no	—
886	C₂²⋊C₄	—	4	2	no	—
887	C₂²⋊C₄	—	4	2	no	—
888	C₂²⋊C₄	—	4	2	no	—
889	C₂²⋊C₄	—	4	2	no	—
890	C₂²⋊C₄	—	4	2	no	—
891	C₄²	—	4	2	no	—
892	C₄²	—	4	2	no	—
893	C₄²	—	4	2	no	—
894	C₂×C₇	—	2	4	no	—
895	C₂×C₇	—	4	2	no	—
896	C₂×C₇	—	4	2	no	—
897	C₂×C₇	—	4	4	no	—
898	C₂×C₇	—	4	4	no	—
899	C₂×C₇	—	8	2	no	—
900	C₂×C₇	C₂×#538	1	1	yes	characteristic
901	C₂×C₇	#3490	1	2	yes	—
902	C₂×C₇	#3532	1	2	yes	—
903	C₂×C₇	#3532	1	1	yes	characteristic
904	C₂×C₇	#3532	1	1	yes	characteristic
905	C₂³	—	2	2	no	—
906	C₂³	—	2	2	no	—
907	C₂³	—	2	16	no	—
908	C₂³	—	2	2	no	—
909	C₂³	—	2	2	no	—
910	C₂³	—	2	1	no	—
911	C₂³	—	2	1	no	—
912	C₂³	—	2	1	no	—
913	C₂³	—	2	1	no	—
914	C₂³	—	2	2	no	—
915	C₂³	—	2	2	no	—
916	C₂³	—	2	2	no	—
917	C₂³	—	2	2	no	—
918	C₂³	—	2	2	no	—
919	C₂³	—	2	2	no	—
920	C₂³	—	2	2	no	—
921	C₂³	—	2	2	no	—
922	C₂³	—	2	2	no	—
923	C₂³	—	2	2	no	—
924	C₂³	—	2	2	no	—
925	C₂³	—	2	2	no	—
926	C₂³	—	2	2	no	—
927	C₂³	—	2	2	no	—
928	C₂³	—	2	8	no	—
929	C₂³	—	2	2	no	—
930	C₂³	—	2	2	no	—
931	C₂³	—	2	2	no	—
932	C₂³	—	2	2	no	—
933	C₂³	—	2	2	no	—
934	C₂³	—	2	2	no	—
935	C₂³	—	2	2	no	—
936	C₂³	—	4	8	no	—
937	C₂³	—	4	8	no	—
938	C₂³	—	4	8	no	—
939	C₂³	—	4	8	no	—
940	C₂³	—	4	8	no	—
941	C₂³	—	4	8	no	—
942	C₂³	—	4	8	no	—
943	C₂³	—	4	8	no	—
944	C₂³	—	4	8	no	—
945	C₂³	—	4	8	no	—
946	C₂³	—	4	4	no	—
947	C₂³	—	4	4	no	—
948	C₂³	—	4	8	no	—
949	C₂³	—	4	8	no	—
950	C₂³	—	4	4	no	—
951	C₂³	—	4	4	no	—
952	C₂³	—	4	4	no	—
953	C₂³	—	4	4	no	—
954	C₂³	—	4	8	no	—
955	C₂³	—	4	8	no	—
956	C₂³	—	4	8	no	—
957	C₂³	—	4	8	no	—
958	C₂³	—	4	8	no	—
959	C₂³	—	4	128	no	—
960	C₂³	—	4	8	no	—
961	C₂³	—	4	4	no	—
962	C₂³	—	4	4	no	—
963	C₂³	—	4	8	no	—
964	C₂³	C₂×C₇×#41	1	2	yes	—
965	C₂³	C₂×C₇×#41	1	2	yes	—
966	C₂³	C₂×C₇×#41	1	2	yes	—
967	C₂³	C₇×H(5,𝔽₂)	1	4	yes	—
968	C₂³	C₇×H(5,𝔽₂)	1	4	yes	—
969	C₂³	C₇×H(5,𝔽₂)	1	2	yes	—
970	C₂³	C₇×H(5,𝔽₂)	1	2	yes	—
971	C₂³	C₂⁵×C₇	1	1	yes	characteristic
972	Q₈	—	8	2	no	—
973	D₄	—	4	8	no	—
974	D₄	—	8	4	no	—
975	D₄	—	8	4	no	—
976	D₄	—	8	4	no	—
977	D₄	—	8	4	no	—
978	D₄	—	8	4	no	—
979	D₄	—	8	4	no	—
980	D₄	—	8	2	no	—
981	C₂×C₄	—	2	2	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	2	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	2	no	—
987	C₂×C₄	—	2	2	no	—
988	C₂×C₄	—	2	2	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	2	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	2	2	no	—
993	C₂×C₄	—	2	2	no	—
994	C₂×C₄	—	2	2	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	2	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	2	no	—
1010	C₂×C₄	—	2	2	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	8	4	no	—
1017	C₂×C₄	—	8	2	no	—
1018	C₂×C₄	—	8	2	no	—
1019	C₂×C₄	—	8	4	no	—
1020	C₇	#36725	1	1	yes	characteristic, direct product factor, Sylow
1021	C₂²	—	2	4	no	—
1022	C₂²	—	2	4	no	—
1023	C₂²	—	2	2	no	—
1024	C₂²	—	2	2	no	—
1025	C₂²	—	2	2	no	—
1026	C₂²	—	2	2	no	—
1027	C₂²	—	2	4	no	—
1028	C₂²	—	2	4	no	—
1029	C₂²	—	2	4	no	—
1030	C₂²	—	2	4	no	—
1031	C₂²	—	2	4	no	—
1032	C₂²	—	2	4	no	—
1033	C₂²	—	2	4	no	—
1034	C₂²	—	2	4	no	—
1035	C₂²	—	4	32	no	—
1036	C₂²	—	4	16	no	—
1037	C₂²	—	4	32	no	—
1038	C₂²	—	4	16	no	—
1039	C₂²	—	4	16	no	—
1040	C₂²	—	4	2	no	—
1041	C₂²	—	4	2	no	—
1042	C₂²	—	4	2	no	—
1043	C₂²	—	4	2	no	—
1044	C₂²	—	4	2	no	—
1045	C₂²	—	4	1	no	—
1046	C₂²	—	4	1	no	—
1047	C₂²	—	4	2	no	—
1048	C₂²	—	4	2	no	—
1049	C₂²	—	4	2	no	—
1050	C₂²	—	4	2	no	—
1051	C₂²	—	4	2	no	—
1052	C₂²	—	4	1	no	—
1053	C₂²	—	4	1	no	—
1054	C₂²	—	4	2	no	—
1055	C₂²	—	4	2	no	—
1056	C₂²	—	4	2	no	—
1057	C₂²	—	4	2	no	—
1058	C₂²	—	4	2	no	—
1059	C₂²	—	4	2	no	—
1060	C₂²	—	4	2	no	—
1061	C₂²	C₇×#538	1	4	yes	—
1062	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1063	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1064	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1065	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1066	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1067	C₄	—	4	2	no	—
1068	C₄	—	4	2	no	—
1069	C₄	—	4	2	no	—
1070	C₄	—	4	2	no	—
1071	C₄	—	4	1	no	—
1072	C₄	—	4	2	no	—
1073	C₄	—	4	1	no	—
1074	C₄	—	4	2	no	—
1075	C₄	—	4	1	no	—
1076	C₄	—	4	1	no	—
1077	C₄	—	4	2	no	—
1078	C₄	—	4	2	no	—
1079	C₄	—	4	2	no	—
1080	C₂	—	2	4	no	—
1081	C₂	—	4	2	no	—
1082	C₂	—	4	2	no	—
1083	C₂	—	4	4	no	—
1084	C₂	—	4	4	no	—
1085	C₂	—	8	2	no	—
1086	C₂	C₂×C₇×#538	1	1	yes	characteristic
1087	C₂	C₇×#3490	1	2	yes	—
1088	C₂	C₇×#3532	1	2	yes	—
1089	C₂	C₇×#3532	1	1	yes	characteristic
1090	C₂	C₇×#3532	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#2846	C₂	semidirect
2. C₇×#2736	C₂	semidirect
3. C₇×#2735	C₂	semidirect
4. C₇×#2735	C₂	semidirect
5. C₇×#2697	C₂	semidirect
6. C₇×#2685	C₂	semidirect
7. C₇×#2685	C₂	semidirect
8. C₇×#2684	C₂	semidirect
9. C₇×#2678	C₂	semidirect
10. C₇×#2670	C₂	semidirect
11. C₇×#2668	C₂	semidirect
12. C₇×#2626	C₂	semidirect
13. C₇×#2617	C₂	semidirect
14. C₇×#2480	C₂	semidirect
15. C₇×#2472	C₂	semidirect
16. C₇×#2424	C₂	semidirect
17. C₇×#2418	C₂	semidirect
18. C₇×#2321	C₂	semidirect
19. C₂×C₇×#379	C₂	semidirect
21. C₂×C₇×#126	C₂²	semidirect
22. C₂×C₇×#124	C₂²	semidirect
23. C₂×C₇×#123	C₂²	semidirect
24. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
25. C₂×C₇×#121	C₂²	semidirect
26. C₂×C₇×#121	C₂²	semidirect
34. C₂×C₄×C₇×D₄	C₂²	semidirect
39. C₇×#399	C₂²	semidirect
40. C₇×#399	C₂²	semidirect
41. C₇×#399	C₂²	semidirect
42. C₇×#397	C₂²	semidirect
43. C₇×#397	C₂²	semidirect
44. C₇×#397	C₂²	semidirect
45. C₇×#397	C₂²	semidirect
46. C₇×#397	C₂²	semidirect
47. C₇×#397	C₂²	semidirect
48. C₇×#397	C₂²	semidirect
49. C₇×#396	C₂²	semidirect
50. C₇×#396	C₂²	semidirect
51. C₇×#396	C₂²	semidirect
52. C₇×#396	C₂²	semidirect
53. C₇×#394	C₂²	semidirect
54. C₇×#394	C₂²	semidirect
55. C₇×#394	C₂²	semidirect
56. C₇×#394	C₂²	semidirect
57. C₇×#394	C₂²	semidirect
58. C₇×#394	C₂²	semidirect
59. C₇×#394	C₂²	semidirect
60. C₇×#394	C₂²	semidirect
61. C₇×#393	C₂²	semidirect
62. C₇×#393	C₂²	semidirect
63. C₇×#393	C₂²	semidirect
64. C₇×#392	C₂²	semidirect
65. C₇×#392	C₂²	semidirect
66. C₇×#392	C₂²	semidirect
67. C₇×#390	C₂²	semidirect
68. C₇×#390	C₂²	semidirect
69. C₇×#390	C₂²	semidirect
70. C₇×#390	C₂²	semidirect
71. C₇×#388	C₂²	semidirect
72. C₇×#388	C₂²	semidirect
73. C₇×#388	C₂²	semidirect
74. C₇×#388	C₂²	semidirect
75. C₇×#388	C₂²	semidirect
76. C₇×#388	C₂²	semidirect
77. C₇×#388	C₂²	semidirect
78. C₇×#388	C₂²	semidirect
79. C₇×#388	C₂²	semidirect
80. C₇×#388	C₂²	semidirect
81. C₇×#388	C₂²	semidirect
82. C₇×#388	C₂²	semidirect
83. C₇×#386	C₂²	semidirect
84. C₇×#386	C₂²	semidirect
85. C₇×#386	C₂²	semidirect
86. C₇×#386	C₂²	semidirect
87. C₇×#386	C₂²	semidirect
88. C₇×#386	C₂²	semidirect
89. C₇×#385	C₂²	semidirect
90. C₇×#385	C₂²	semidirect
91. C₇×#380	C₂²	semidirect
92. C₇×#380	C₂²	semidirect
106. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
107. #36725	C₇	direct (N × H)
118. C₂²×C₇×Q₈	C₂³	semidirect
126. C₂²×C₇×D₄	C₂³	semidirect
130. C₂³×C₄×C₇	C₂³	semidirect
145. C₂×C₇×C₄⋊C₄	C₂³	semidirect
146. C₂×C₇×C₄⋊C₄	C₂³	semidirect
147. C₂×C₇×C₄⋊C₄	C₂³	semidirect
148. C₂×C₇×C₄⋊C₄	C₂³	semidirect
149. C₂×C₇×C₄⋊C₄	C₂³	semidirect
150. C₂×C₇×C₄⋊C₄	C₂³	semidirect
151. C₂×C₇×C₄⋊C₄	C₂³	semidirect
152. C₂×C₇×C₄⋊C₄	C₂³	semidirect
153. C₂×C₇×C₄⋊C₄	C₂³	semidirect
154. C₂×C₇×C₄⋊C₄	C₂³	semidirect
195. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
196. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
197. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
198. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
199. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
200. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
201. C₂×C₄²×C₇	C₂³	semidirect
202. C₂×C₄²×C₇	C₂³	semidirect
203. C₂×C₄²×C₇	C₂³	semidirect
204. C₇×#95	C₂³	semidirect
205. C₇×#95	C₂³	semidirect
206. C₇×#95	C₂³	semidirect
207. C₇×#95	C₂³	semidirect
208. C₇×#95	C₂³	semidirect
209. C₇×#95	C₂³	semidirect
210. C₇×#95	C₂³	semidirect
211. C₇×#95	C₂³	semidirect
212. C₇×#95	C₂³	semidirect
213. C₇×#95	C₂³	semidirect
214. C₇×#95	C₂³	semidirect
215. C₇×#95	C₂³	semidirect
216. C₇×#95	C₂³	semidirect
217. C₇×#95	C₂³	semidirect
218. #2846	C₂×C₇	semidirect
219. #2736	C₂×C₇	semidirect
220. #2735	C₂×C₇	semidirect
221. #2735	C₂×C₇	semidirect
222. #2697	C₂×C₇	semidirect
223. #2685	C₂×C₇	semidirect
224. #2685	C₂×C₇	semidirect
225. #2684	C₂×C₇	semidirect
226. #2678	C₂×C₇	semidirect
227. #2670	C₂×C₇	semidirect
228. #2668	C₂×C₇	semidirect
229. #2626	C₂×C₇	semidirect
230. #2617	C₂×C₇	semidirect
231. #2480	C₂×C₇	semidirect
232. #2472	C₂×C₇	semidirect
233. #2424	C₂×C₇	semidirect
234. #2418	C₂×C₇	semidirect
235. #2321	C₂×C₇	semidirect
236. C₂×#379	C₂×C₇	semidirect
381. C₂×#126	C₂²×C₇	semidirect
382. C₂×#124	C₂²×C₇	semidirect
383. C₂×#123	C₂²×C₇	semidirect
384. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
385. C₂×#121	C₂²×C₇	semidirect
386. C₂×#121	C₂²×C₇	semidirect
394. C₂×C₄×D₄	C₂²×C₇	semidirect
399. #399	C₂²×C₇	semidirect
400. #399	C₂²×C₇	semidirect
401. #399	C₂²×C₇	semidirect
402. #397	C₂²×C₇	semidirect
403. #397	C₂²×C₇	semidirect
404. #397	C₂²×C₇	semidirect
405. #397	C₂²×C₇	semidirect
406. #397	C₂²×C₇	semidirect
407. #397	C₂²×C₇	semidirect
408. #397	C₂²×C₇	semidirect
409. #396	C₂²×C₇	semidirect
410. #396	C₂²×C₇	semidirect
411. #396	C₂²×C₇	semidirect
412. #396	C₂²×C₇	semidirect
413. #394	C₂²×C₇	semidirect
414. #394	C₂²×C₇	semidirect
415. #394	C₂²×C₇	semidirect
416. #394	C₂²×C₇	semidirect
417. #394	C₂²×C₇	semidirect
418. #394	C₂²×C₇	semidirect
419. #394	C₂²×C₇	semidirect
420. #394	C₂²×C₇	semidirect
421. #393	C₂²×C₇	semidirect
422. #393	C₂²×C₇	semidirect
423. #393	C₂²×C₇	semidirect
424. #392	C₂²×C₇	semidirect
425. #392	C₂²×C₇	semidirect
426. #392	C₂²×C₇	semidirect
427. #390	C₂²×C₇	semidirect
428. #390	C₂²×C₇	semidirect
429. #390	C₂²×C₇	semidirect
430. #390	C₂²×C₇	semidirect
431. #388	C₂²×C₇	semidirect
432. #388	C₂²×C₇	semidirect
433. #388	C₂²×C₇	semidirect
434. #388	C₂²×C₇	semidirect
435. #388	C₂²×C₇	semidirect
436. #388	C₂²×C₇	semidirect
437. #388	C₂²×C₇	semidirect
438. #388	C₂²×C₇	semidirect
439. #388	C₂²×C₇	semidirect
440. #388	C₂²×C₇	semidirect
441. #388	C₂²×C₇	semidirect
442. #388	C₂²×C₇	semidirect
443. #386	C₂²×C₇	semidirect
444. #386	C₂²×C₇	semidirect
445. #386	C₂²×C₇	semidirect
446. #386	C₂²×C₇	semidirect
447. #386	C₂²×C₇	semidirect
448. #386	C₂²×C₇	semidirect
449. #385	C₂²×C₇	semidirect
450. #385	C₂²×C₇	semidirect
451. #380	C₂²×C₇	semidirect
452. #380	C₂²×C₇	semidirect
466. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
592. C₂²×Q₈	C₂³×C₇	semidirect
600. C₂²×D₄	C₂³×C₇	semidirect
604. C₂³×C₄	C₂³×C₇	semidirect
619. C₂×C₄⋊C₄	C₂³×C₇	semidirect
620. C₂×C₄⋊C₄	C₂³×C₇	semidirect
621. C₂×C₄⋊C₄	C₂³×C₇	semidirect
622. C₂×C₄⋊C₄	C₂³×C₇	semidirect
623. C₂×C₄⋊C₄	C₂³×C₇	semidirect
624. C₂×C₄⋊C₄	C₂³×C₇	semidirect
625. C₂×C₄⋊C₄	C₂³×C₇	semidirect
626. C₂×C₄⋊C₄	C₂³×C₇	semidirect
627. C₂×C₄⋊C₄	C₂³×C₇	semidirect
628. C₂×C₄⋊C₄	C₂³×C₇	semidirect
669. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
670. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
671. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
672. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
673. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
674. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
675. C₂×C₄²	C₂³×C₇	semidirect
676. C₂×C₄²	C₂³×C₇	semidirect
677. C₂×C₄²	C₂³×C₇	semidirect
678. #95	C₂³×C₇	semidirect
679. #95	C₂³×C₇	semidirect
680. #95	C₂³×C₇	semidirect
681. #95	C₂³×C₇	semidirect
682. #95	C₂³×C₇	semidirect
683. #95	C₂³×C₇	semidirect
684. #95	C₂³×C₇	semidirect
685. #95	C₂³×C₇	semidirect
686. #95	C₂³×C₇	semidirect
687. #95	C₂³×C₇	semidirect
688. #95	C₂³×C₇	semidirect
689. #95	C₂³×C₇	semidirect
690. #95	C₂³×C₇	semidirect
691. #95	C₂³×C₇	semidirect
1020. C₇	#36725	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇×#2846	2
C₇×#2736	2
C₇×#2735	2
C₇×#2697	2
C₇×#2685	2
C₇×#2684	2
C₇×#2678	2
C₇×#2670	2
C₇×#2668	2
C₇×#2626	2
C₇×#2617	2
C₇×#2480	2
C₇×#2472	2
C₇×#2424	2
C₇×#2418	2
C₇×#2321	2
C₂×C₇×#379	2
#36725	7

Subgroups — C7×#36725 #13213941

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#36725 #13213941