Subgroups — C₇×#62847 #13240063

Order 1792.

7106 conjugacy classes of subgroups.

The subgroup lattice has 1000 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3521	C₂	1	8	yes	maximal, complemented
2	C₇×#3520	C₂	1	8	yes	maximal, complemented
3	C₇×#3515	C₂	1	8	yes	maximal, complemented
4	C₇×#3513	C₂	1	8	yes	maximal, complemented
5	C₇×#3507	C₂	1	2	yes	maximal, complemented
6	C₇×#3505	C₂	1	4	yes	maximal, complemented
7	C₇×#3501	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3496	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3492	C₂	1	2	yes	maximal, complemented
10	C₇×#3491	C₂	1	4	yes	maximal, complemented
11	C₇×#3485	C₂	1	2	yes	maximal, complemented
12	C₇×#3461	C₂	1	2	yes	maximal, complemented
13	C₇×#3459	C₂	1	4	yes	maximal, complemented
14	C₇×#3455	C₂	1	2	yes	maximal, complemented
15	C₂×C₇×#539	C₂	1	4	yes	maximal, complemented
16	C₄×C₇×H(5,𝔽₂)	C₂	1	2	yes	maximal, complemented
17	C₂×C₇×#520	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₇×H(5,𝔽₂)	C₂²	1	2	yes	—
19	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
20	C₇×#559	C₂²	1	4	yes	complemented
21	C₇×#557	C₂²	1	4	yes	complemented
22	C₇×#556	C₂²	1	8	yes	complemented
23	C₇×#556	C₂²	1	4	yes	complemented
24	C₇×#554	C₂²	1	8	yes	complemented
25	C₇×#554	C₂²	1	8	yes	complemented
26	C₇×#554	C₂²	1	4	yes	complemented
27	C₇×#554	C₂²	1	4	yes	complemented
28	C₇×#553	C₂²	1	8	yes	complemented
29	C₇×#553	C₂²	1	16	yes	complemented
30	C₇×#553	C₂²	1	8	yes	complemented
31	C₇×#552	C₂²	1	16	yes	complemented
32	C₇×#552	C₂²	1	16	yes	complemented
33	C₇×#552	C₂²	1	8	yes	complemented
34	C₇×#552	C₂²	1	8	yes	complemented
35	C₇×#552	C₂²	1	8	yes	complemented
36	C₇×#551	C₂²	1	16	yes	complemented
37	C₇×#551	C₂²	1	16	yes	complemented
38	C₇×#551	C₂²	1	16	yes	complemented
39	C₇×D₄×Q₈	C₂²	1	4	yes	complemented
40	C₇×#548	C₂²	1	8	yes	complemented
41	C₇×#547	C₂²	1	8	yes	complemented
42	C₇×#547	C₂²	1	8	yes	complemented
43	C₇×#547	C₂²	1	8	yes	complemented
44	C₇×#547	C₂²	1	4	yes	complemented
45	C₇×#546	C₂²	1	8	yes	complemented
46	C₇×#546	C₂²	1	8	yes	complemented
47	C₇×#546	C₂²	1	8	yes	complemented
48	C₇×#546	C₂²	1	8	yes	complemented
49	C₇×D₄²	C₂²	1	4	yes	complemented
50	C₇×#544	C₂²	1	2	yes	complemented
51	C₇×#543	C₂²	1	4	yes	complemented
52	C₇×#542	C₂²	1	4	yes	complemented
53	C₇×#542	C₂²	1	4	yes	complemented
54	C₇×#542	C₂²	1	8	yes	complemented
55	C₇×#541	C₂²	1	4	yes	complemented
56	C₇×#541	C₂²	1	8	yes	complemented
57	C₇×#540	C₂²	1	4	yes	complemented
58	C₇×#539	C₂²	1	4	yes	complemented
59	C₇×#539	C₂²	1	8	yes	complemented
60	C₇×#539	C₂²	1	8	yes	complemented
61	C₇×#539	C₂²	1	8	yes	complemented
62	C₇×#539	C₂²	1	16	yes	complemented
63	C₇×#539	C₂²	1	16	yes	complemented
64	C₇×#539	C₂²	1	4	yes	complemented
65	C₇×#539	C₂²	1	16	yes	complemented
66	C₇×#538	C₂²	1	4	yes	complemented
67	C₇×#538	C₂²	1	4	yes	complemented
68	C₇×#538	C₂²	1	16	yes	complemented
69	C₇×#537	C₂²	1	2	yes	—
70	C₇×#536	C₂²	1	4	yes	complemented
71	C₇×#534	C₂²	1	4	yes	—
72	C₇×#534	C₂²	1	8	yes	complemented
73	C₇×#533	C₂²	1	2	yes	complemented
74	C₇×#533	C₂²	1	8	yes	complemented
75	C₇×#532	C₂²	1	2	yes	—
76	C₇×#529	C₂²	1	8	yes	complemented
77	C₇×#529	C₂²	1	8	yes	complemented
78	C₇×#529	C₂²	1	8	yes	complemented
79	C₇×#529	C₂²	1	16	yes	complemented
80	C₇×#529	C₂²	1	8	yes	complemented
81	C₇×#529	C₂²	1	8	yes	complemented
82	C₂×C₇×#126	C₂²	1	8	yes	complemented
83	C₂×C₇×#125	C₂²	1	8	yes	complemented
84	C₇×#525	C₂²	1	4	yes	complemented
85	C₇×#525	C₂²	1	8	yes	complemented
86	C₇×#525	C₂²	1	16	yes	complemented
87	C₂×C₇×#123	C₂²	1	8	yes	complemented
88	C₂×C₇×#123	C₂²	1	8	yes	complemented
89	C₂×C₇×C₂²⋊Q₈	C₂²	1	4	yes	complemented
90	C₂×C₇×C₂²⋊Q₈	C₂²	1	8	yes	complemented
91	C₂×C₇×#121	C₂²	1	4	yes	—
92	C₇×#520	C₂²	1	8	yes	complemented
93	C₇×#520	C₂²	1	8	yes	complemented
94	C₇×#520	C₂²	1	4	yes	complemented
95	C₇×#520	C₂²	1	8	yes	complemented
96	C₇×#518	C₂²	1	2	yes	—
97	C₇×#518	C₂²	1	8	yes	complemented
98	C₇×#518	C₂²	1	8	yes	complemented
99	C₄×C₇×#41	C₂²	1	4	yes	complemented
100	C₄×C₇×#41	C₂²	1	8	yes	complemented
101	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
102	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
103	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
104	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
105	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
106	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
107	C₂×C₄×C₇×D₄	C₂²	1	8	yes	complemented
108	C₂×C₄×C₇×D₄	C₂²	1	8	yes	complemented
109	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
110	C₂×C₇×#117	C₂²	1	2	yes	complemented
111	C₂²×C₇×C₄⋊C₄	C₂²	1	2	yes	complemented
112	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
113	#62847	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
114	C₇×H(5,𝔽₂)	—	2	16	no	—
115	C₂×C₇×#41	—	2	8	no	—
116	C₂×C₇×#41	C₂³	1	8	yes	—
117	C₂×C₇×#41	C₂³	1	4	yes	—
118	C₂×C₇×#41	C₂³	1	8	yes	—
119	C₂×C₇×#41	C₂³	1	8	yes	—
120	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
121	C₂²×C₇×Q₈	C₂³	1	4	yes	—
122	C₂²×C₇×D₄	C₂³	1	2	yes	—
123	C₂²×C₇×D₄	C₂³	1	8	yes	—
124	C₂²×C₇×D₄	C₂³	1	8	yes	—
125	C₂²×C₇×D₄	C₂³	1	4	yes	—
126	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₇	C₂³	1	2	yes	—
128	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
129	C₂³×C₄×C₇	C₂³	1	2	yes	—
130	C₂³×C₄×C₇	C₂³	1	2	yes	—
131	C₂³×C₄×C₇	C₂³	1	2	yes	—
132	C₂³×C₄×C₇	C₂³	1	8	yes	—
133	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
134	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
135	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
136	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
137	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
138	C₇×#127	C₂³	1	2	yes	—
139	C₇×#126	C₂³	1	8	yes	—
140	C₇×#126	C₂³	1	16	yes	—
141	C₇×#126	C₂³	1	16	yes	—
142	C₇×#126	C₂³	1	16	yes	—
143	C₇×#126	C₂³	1	8	yes	—
144	C₇×#126	C₂³	1	16	yes	—
145	C₇×#126	C₂³	1	8	yes	—
146	C₇×#126	C₂³	1	8	yes	—
147	C₇×#126	C₂³	1	16	yes	—
148	C₇×#125	C₂³	1	8	yes	—
149	C₇×#125	C₂³	1	16	yes	—
150	C₇×#125	C₂³	1	16	yes	—
151	C₇×#125	C₂³	1	16	yes	—
152	C₇×#125	C₂³	1	8	yes	—
153	C₇×#125	C₂³	1	8	yes	—
154	C₇×#125	C₂³	1	8	yes	—
155	C₇×#125	C₂³	1	8	yes	—
156	C₇×#125	C₂³	1	4	yes	—
157	C₇×#124	C₂³	1	8	yes	—
158	C₇×#124	C₂³	1	8	yes	—
159	C₇×#124	C₂³	1	8	yes	—
160	C₇×#124	C₂³	1	8	yes	—
161	C₇×#124	C₂³	1	8	yes	—
162	C₇×#124	C₂³	1	4	yes	—
163	C₇×#123	C₂³	1	8	yes	—
164	C₇×#123	C₂³	1	8	yes	—
165	C₇×#123	C₂³	1	16	yes	—
166	C₇×#123	C₂³	1	16	yes	—
167	C₇×#123	C₂³	1	16	yes	—
168	C₇×#123	C₂³	1	16	yes	—
169	C₇×#123	C₂³	1	16	yes	—
170	C₇×#123	C₂³	1	16	yes	—
171	C₇×#123	C₂³	1	8	yes	—
172	C₇×#123	C₂³	1	16	yes	—
173	C₇×#123	C₂³	1	16	yes	—
174	C₇×#123	C₂³	1	16	yes	—
175	C₇×#123	C₂³	1	8	yes	—
176	C₇×#123	C₂³	1	8	yes	—
177	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
178	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
179	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
180	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
181	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
182	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
183	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
184	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
185	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
186	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
187	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
188	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
189	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
190	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
191	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
192	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
193	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
194	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
195	C₇×#121	C₂³	1	4	yes	—
196	C₇×#121	C₂³	1	8	yes	—
197	C₇×#121	C₂³	1	8	yes	—
198	C₇×#121	C₂³	1	8	yes	—
199	C₇×#121	C₂³	1	8	yes	—
200	C₇×#121	C₂³	1	16	yes	—
201	C₇×#121	C₂³	1	8	yes	—
202	C₇×#121	C₂³	1	4	yes	—
203	C₇×#121	C₂³	1	4	yes	—
204	C₇×#121	C₂³	1	4	yes	—
205	C₇×#121	C₂³	1	16	yes	—
206	C₇×#121	C₂³	1	8	yes	—
207	C₇×#121	C₂³	1	8	yes	—
208	C₇×#120	C₂³	1	8	yes	—
209	C₇×#120	C₂³	1	16	yes	—
210	C₇×#120	C₂³	1	16	yes	—
211	C₄×C₇×Q₈	C₂³	1	8	yes	—
212	C₄×C₇×Q₈	C₂³	1	4	yes	—
213	C₄×C₇×Q₈	C₂³	1	4	yes	—
214	C₄×C₇×Q₈	C₂³	1	4	yes	—
215	C₄×C₇×Q₈	C₂³	1	4	yes	—
216	C₄×C₇×Q₈	C₂³	1	8	yes	—
217	C₄×C₇×Q₈	C₂³	1	8	yes	—
218	C₄×C₇×Q₈	C₂³	1	4	yes	—
219	C₄×C₇×Q₈	C₂³	1	4	yes	—
220	C₄×C₇×Q₈	C₂³	1	8	yes	—
221	C₄×C₇×D₄	C₂³	1	8	yes	—
222	C₄×C₇×D₄	C₂³	1	4	yes	—
223	C₄×C₇×D₄	C₂³	1	4	yes	—
224	C₄×C₇×D₄	C₂³	1	8	yes	—
225	C₄×C₇×D₄	C₂³	1	16	yes	—
226	C₄×C₇×D₄	C₂³	1	4	yes	—
227	C₄×C₇×D₄	C₂³	1	8	yes	—
228	C₄×C₇×D₄	C₂³	1	16	yes	—
229	C₄×C₇×D₄	C₂³	1	16	yes	—
230	C₄×C₇×D₄	C₂³	1	8	yes	—
231	C₄×C₇×D₄	C₂³	1	16	yes	—
232	C₄×C₇×D₄	C₂³	1	16	yes	—
233	C₄×C₇×D₄	C₂³	1	8	yes	—
234	C₄×C₇×D₄	C₂³	1	8	yes	—
235	C₄×C₇×D₄	C₂³	1	8	yes	—
236	C₄×C₇×D₄	C₂³	1	8	yes	—
237	C₄×C₇×D₄	C₂³	1	4	yes	—
238	C₄×C₇×D₄	C₂³	1	16	yes	—
239	C₄×C₇×D₄	C₂³	1	8	yes	—
240	C₄×C₇×D₄	C₂³	1	16	yes	—
241	C₄×C₇×D₄	C₂³	1	8	yes	—
242	C₄×C₇×D₄	C₂³	1	8	yes	—
243	C₄×C₇×D₄	C₂³	1	8	yes	—
244	C₄×C₇×D₄	C₂³	1	4	yes	—
245	C₄×C₇×D₄	C₂³	1	4	yes	—
246	C₇×#117	C₂³	1	4	yes	—
247	C₇×#117	C₂³	1	4	yes	—
248	C₇×#117	C₂³	1	16	yes	—
249	C₇×#117	C₂³	1	4	yes	—
250	C₇×#117	C₂³	1	8	yes	—
251	C₇×#117	C₂³	1	16	yes	—
252	C₇×#117	C₂³	1	8	yes	—
253	C₇×#117	C₂³	1	16	yes	—
254	C₇×#117	C₂³	1	8	yes	—
255	C₇×#117	C₂³	1	16	yes	—
256	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
258	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
261	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
262	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
263	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
264	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
265	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
267	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
268	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
269	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
270	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
271	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
272	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
273	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
274	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
275	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
278	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
279	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	—
280	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
281	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
282	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
283	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
284	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
285	C₂×C₄²×C₇	C₂³	1	2	yes	—
286	C₂×C₄²×C₇	C₂³	1	2	yes	—
287	C₂×C₄²×C₇	C₂³	1	8	yes	—
288	C₂×C₄²×C₇	C₂³	1	8	yes	—
289	#3521	C₂×C₇	1	8	yes	complemented
290	#3520	C₂×C₇	1	8	yes	complemented
291	#3515	C₂×C₇	1	8	yes	complemented
292	#3513	C₂×C₇	1	8	yes	complemented
293	#3507	C₂×C₇	1	2	yes	complemented
294	#3505	C₂×C₇	1	4	yes	complemented
295	#3501	C₂×C₇	1	1	yes	characteristic, complemented
296	#3496	C₂×C₇	1	1	yes	characteristic, complemented
297	#3492	C₂×C₇	1	2	yes	complemented
298	#3491	C₂×C₇	1	4	yes	complemented
299	#3485	C₂×C₇	1	2	yes	complemented
300	#3461	C₂×C₇	1	2	yes	complemented
301	#3459	C₂×C₇	1	4	yes	complemented
302	#3455	C₂×C₇	1	2	yes	complemented
303	C₂×#539	C₂×C₇	1	4	yes	complemented
304	C₄×H(5,𝔽₂)	C₂×C₇	1	2	yes	complemented
305	C₂×#520	C₂×C₇	1	1	yes	characteristic, complemented
306	C₂⁴×C₇	C₂⁴	1	8	yes	—
307	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
308	C₂⁴×C₇	C₂⁴	1	2	yes	—
309	C₇×#41	—	2	32	no	—
310	C₇×#41	—	2	32	no	—
311	C₇×#41	—	2	16	no	—
312	C₇×#41	—	8	8	no	—
313	C₂×C₇×Q₈	—	2	4	no	—
314	C₂×C₇×Q₈	—	8	4	no	—
315	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
316	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
317	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
318	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
319	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
320	C₂×C₇×D₄	—	2	8	no	—
321	C₂×C₇×D₄	—	2	32	no	—
322	C₂×C₇×D₄	—	2	32	no	—
323	C₂×C₇×D₄	—	8	4	no	—
324	C₂×C₇×D₄	#41	1	8	yes	complemented
325	C₂×C₇×D₄	C₂⁴	1	8	yes	—
326	C₂×C₇×D₄	C₂⁴	1	8	yes	—
327	C₂×C₇×D₄	C₂⁴	1	16	yes	—
328	C₂×C₇×D₄	C₂⁴	1	4	yes	—
329	C₂×C₇×D₄	C₂⁴	1	4	yes	—
330	C₂×C₇×D₄	C₂⁴	1	8	yes	—
331	C₂×C₇×D₄	C₂⁴	1	8	yes	—
332	C₂×C₇×D₄	C₂⁴	1	8	yes	—
333	C₂×C₇×D₄	C₂⁴	1	4	yes	—
334	C₂×C₇×D₄	C₂⁴	1	4	yes	—
335	C₂²×C₄×C₇	—	2	8	no	—
336	C₂²×C₄×C₇	—	2	4	no	—
337	C₂²×C₄×C₇	—	8	2	no	—
338	C₂²×C₄×C₇	—	8	8	no	—
339	C₂²×C₄×C₇	—	8	2	no	—
340	C₂²×C₄×C₇	—	8	2	no	—
341	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
342	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
343	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
344	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
345	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
347	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
350	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
351	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
353	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
354	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
356	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
357	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
358	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
359	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
360	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
361	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
362	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
363	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
364	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
365	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
366	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
367	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
368	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
369	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
370	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
371	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
372	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
373	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
374	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
375	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
376	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
377	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
378	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
379	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
380	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
381	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
382	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
383	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
384	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
385	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
386	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
387	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
388	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
389	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
390	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
391	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
392	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
393	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
394	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
395	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
396	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
397	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
398	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
399	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
400	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
401	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
402	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
403	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
404	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
405	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
406	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
407	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
408	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
409	C₄²×C₇	C₂⁴	1	4	yes	—
410	C₄²×C₇	C₂⁴	1	8	yes	—
411	C₄²×C₇	C₂⁴	1	16	yes	—
412	C₄²×C₇	C₂⁴	1	8	yes	—
413	C₄²×C₇	C₂⁴	1	8	yes	—
414	C₄²×C₇	C₂⁴	1	8	yes	—
415	C₄²×C₇	C₂⁴	1	8	yes	—
416	C₄²×C₇	C₂⁴	1	2	yes	—
417	C₄²×C₇	C₂⁴	1	2	yes	—
418	C₂×H(5,𝔽₂)	C₂²×C₇	1	2	yes	—
419	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
420	#559	C₂²×C₇	1	4	yes	complemented
421	#557	C₂²×C₇	1	4	yes	complemented
422	#556	C₂²×C₇	1	8	yes	complemented
423	#556	C₂²×C₇	1	4	yes	complemented
424	#554	C₂²×C₇	1	8	yes	complemented
425	#554	C₂²×C₇	1	8	yes	complemented
426	#554	C₂²×C₇	1	4	yes	complemented
427	#554	C₂²×C₇	1	4	yes	complemented
428	#553	C₂²×C₇	1	8	yes	complemented
429	#553	C₂²×C₇	1	16	yes	complemented
430	#553	C₂²×C₇	1	8	yes	complemented
431	#552	C₂²×C₇	1	16	yes	complemented
432	#552	C₂²×C₇	1	16	yes	complemented
433	#552	C₂²×C₇	1	8	yes	complemented
434	#552	C₂²×C₇	1	8	yes	complemented
435	#552	C₂²×C₇	1	8	yes	complemented
436	#551	C₂²×C₇	1	16	yes	complemented
437	#551	C₂²×C₇	1	16	yes	complemented
438	#551	C₂²×C₇	1	16	yes	complemented
439	D₄×Q₈	C₂²×C₇	1	4	yes	complemented
440	#548	C₂²×C₇	1	8	yes	complemented
441	#547	C₂²×C₇	1	8	yes	complemented
442	#547	C₂²×C₇	1	8	yes	complemented
443	#547	C₂²×C₇	1	8	yes	complemented
444	#547	C₂²×C₇	1	4	yes	complemented
445	#546	C₂²×C₇	1	8	yes	complemented
446	#546	C₂²×C₇	1	8	yes	complemented
447	#546	C₂²×C₇	1	8	yes	complemented
448	#546	C₂²×C₇	1	8	yes	complemented
449	D₄²	C₂²×C₇	1	4	yes	complemented
450	#544	C₂²×C₇	1	2	yes	complemented
451	#543	C₂²×C₇	1	4	yes	complemented
452	#542	C₂²×C₇	1	4	yes	complemented
453	#542	C₂²×C₇	1	4	yes	complemented
454	#542	C₂²×C₇	1	8	yes	complemented
455	#541	C₂²×C₇	1	4	yes	complemented
456	#541	C₂²×C₇	1	8	yes	complemented
457	#540	C₂²×C₇	1	4	yes	complemented
458	#539	C₂²×C₇	1	4	yes	complemented
459	#539	C₂²×C₇	1	8	yes	complemented
460	#539	C₂²×C₇	1	8	yes	complemented
461	#539	C₂²×C₇	1	8	yes	complemented
462	#539	C₂²×C₇	1	16	yes	complemented
463	#539	C₂²×C₇	1	16	yes	complemented
464	#539	C₂²×C₇	1	4	yes	complemented
465	#539	C₂²×C₇	1	16	yes	complemented
466	#538	C₂²×C₇	1	4	yes	complemented
467	#538	C₂²×C₇	1	4	yes	complemented
468	#538	C₂²×C₇	1	16	yes	complemented
469	#537	C₂²×C₇	1	2	yes	—
470	#536	C₂²×C₇	1	4	yes	complemented
471	#534	C₂²×C₇	1	4	yes	—
472	#534	C₂²×C₇	1	8	yes	complemented
473	#533	C₂²×C₇	1	2	yes	complemented
474	#533	C₂²×C₇	1	8	yes	complemented
475	#532	C₂²×C₇	1	2	yes	—
476	#529	C₂²×C₇	1	8	yes	complemented
477	#529	C₂²×C₇	1	8	yes	complemented
478	#529	C₂²×C₇	1	8	yes	complemented
479	#529	C₂²×C₇	1	16	yes	complemented
480	#529	C₂²×C₇	1	8	yes	complemented
481	#529	C₂²×C₇	1	8	yes	complemented
482	C₂×#126	C₂²×C₇	1	8	yes	complemented
483	C₂×#125	C₂²×C₇	1	8	yes	complemented
484	#525	C₂²×C₇	1	4	yes	complemented
485	#525	C₂²×C₇	1	8	yes	complemented
486	#525	C₂²×C₇	1	16	yes	complemented
487	C₂×#123	C₂²×C₇	1	8	yes	complemented
488	C₂×#123	C₂²×C₇	1	8	yes	complemented
489	C₂×C₂²⋊Q₈	C₂²×C₇	1	4	yes	complemented
490	C₂×C₂²⋊Q₈	C₂²×C₇	1	8	yes	complemented
491	C₂×#121	C₂²×C₇	1	4	yes	—
492	#520	C₂²×C₇	1	8	yes	complemented
493	#520	C₂²×C₇	1	8	yes	complemented
494	#520	C₂²×C₇	1	4	yes	complemented
495	#520	C₂²×C₇	1	8	yes	complemented
496	#518	C₂²×C₇	1	2	yes	—
497	#518	C₂²×C₇	1	8	yes	complemented
498	#518	C₂²×C₇	1	8	yes	complemented
499	C₄×#41	C₂²×C₇	1	4	yes	complemented
500	C₄×#41	C₂²×C₇	1	8	yes	complemented
501	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
502	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
503	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
504	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
505	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
506	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
507	C₂×C₄×D₄	C₂²×C₇	1	8	yes	complemented
508	C₂×C₄×D₄	C₂²×C₇	1	8	yes	complemented
509	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
510	C₂×#117	C₂²×C₇	1	2	yes	complemented
511	C₂²×C₄⋊C₄	C₂²×C₇	1	2	yes	complemented
512	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
513	C₂³×C₇	—	2	2	no	—
514	C₂³×C₇	—	2	16	no	—
515	C₂³×C₇	—	4	2	no	—
516	C₂³×C₇	—	4	1	no	—
517	C₂³×C₇	—	4	2	no	—
518	C₂³×C₇	—	4	1	no	—
519	C₂³×C₇	—	4	8	no	—
520	C₂³×C₇	—	4	8	no	—
521	C₂³×C₇	C₂×#41	1	8	yes	—
522	C₂³×C₇	C₂⁵	1	8	yes	—
523	C₂³×C₇	C₂⁵	1	2	yes	—
524	C₂³×C₇	C₂⁵	1	4	yes	—
525	C₂³×C₇	C₂⁵	1	1	yes	characteristic
526	C₇×Q₈	—	2	8	no	—
527	C₇×Q₈	—	2	8	no	—
528	C₇×Q₈	—	4	4	no	—
529	C₇×Q₈	—	4	8	no	—
530	C₇×Q₈	—	4	4	no	—
531	C₇×D₄	—	2	32	no	—
532	C₇×D₄	—	2	16	no	—
533	C₇×D₄	—	2	16	no	—
534	C₇×D₄	—	2	8	no	—
535	C₇×D₄	—	4	4	no	—
536	C₇×D₄	—	4	8	no	—
537	C₇×D₄	—	4	8	no	—
538	C₇×D₄	—	4	4	no	—
539	C₇×D₄	—	4	8	no	—
540	C₇×D₄	C₂×#41	1	16	yes	—
541	C₂×C₄×C₇	—	2	2	no	—
542	C₂×C₄×C₇	—	2	4	no	—
543	C₂×C₄×C₇	—	2	16	no	—
544	C₂×C₄×C₇	—	2	16	no	—
545	C₂×C₄×C₇	—	2	8	no	—
546	C₂×C₄×C₇	—	2	16	no	—
547	C₂×C₄×C₇	—	4	1	no	—
548	C₂×C₄×C₇	—	4	8	no	—
549	C₂×C₄×C₇	—	4	2	no	—
550	C₂×C₄×C₇	—	4	8	no	—
551	C₂×C₄×C₇	—	4	1	no	—
552	C₂×C₄×C₇	—	4	2	no	—
553	C₂×C₄×C₇	—	4	4	no	—
554	C₂×C₄×C₇	—	4	4	no	—
555	C₂×C₄×C₇	—	4	8	no	—
556	C₂×C₄×C₇	—	4	8	no	—
557	C₂×C₄×C₇	—	4	16	no	—
558	C₂×C₄×C₇	—	4	1	no	—
559	C₂×C₄×C₇	—	4	8	no	—
560	C₂×C₄×C₇	—	4	8	no	—
561	C₂×C₄×C₇	—	4	1	no	—
562	C₂×C₄×C₇	C₂×#41	1	4	yes	—
563	C₂×C₄×C₇	C₂⁵	1	2	yes	—
564	C₂×C₄×C₇	C₂⁵	1	2	yes	—
565	C₂×C₄×C₇	C₂⁵	1	2	yes	—
566	C₂×C₄×C₇	C₂⁵	1	4	yes	—
567	C₂×C₄×C₇	C₂⁵	1	8	yes	—
568	C₂×C₄×C₇	C₂⁵	1	4	yes	—
569	C₂×C₄×C₇	C₂⁵	1	8	yes	—
570	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
571	C₂×C₄×C₇	C₂⁵	1	8	yes	—
572	C₂×C₄×C₇	C₂⁵	1	4	yes	—
573	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
574	C₂×C₄×C₇	C₂⁵	1	2	yes	—
575	C₂×C₄×C₇	C₂⁵	1	2	yes	—
576	H(5,𝔽₂)	—	2	16	no	—
577	C₂×#41	—	2	8	no	—
578	C₂×#41	C₂³×C₇	1	4	yes	—
579	C₂×#41	C₂³×C₇	1	8	yes	—
580	C₂×#41	C₂³×C₇	1	8	yes	—
581	C₂×#41	C₂³×C₇	1	8	yes	—
582	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
583	C₂²×Q₈	C₂³×C₇	1	4	yes	—
584	C₂²×D₄	C₂³×C₇	1	2	yes	—
585	C₂²×D₄	C₂³×C₇	1	8	yes	—
586	C₂²×D₄	C₂³×C₇	1	8	yes	—
587	C₂²×D₄	C₂³×C₇	1	4	yes	—
588	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
589	C₂³×C₄	C₂³×C₇	1	2	yes	—
590	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
591	C₂³×C₄	C₂³×C₇	1	2	yes	—
592	C₂³×C₄	C₂³×C₇	1	2	yes	—
593	C₂³×C₄	C₂³×C₇	1	2	yes	—
594	C₂³×C₄	C₂³×C₇	1	8	yes	—
595	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
596	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
597	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
598	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
599	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
600	#127	C₂³×C₇	1	2	yes	—
601	#126	C₂³×C₇	1	8	yes	—
602	#126	C₂³×C₇	1	16	yes	—
603	#126	C₂³×C₇	1	16	yes	—
604	#126	C₂³×C₇	1	16	yes	—
605	#126	C₂³×C₇	1	8	yes	—
606	#126	C₂³×C₇	1	16	yes	—
607	#126	C₂³×C₇	1	8	yes	—
608	#126	C₂³×C₇	1	8	yes	—
609	#126	C₂³×C₇	1	16	yes	—
610	#125	C₂³×C₇	1	8	yes	—
611	#125	C₂³×C₇	1	16	yes	—
612	#125	C₂³×C₇	1	16	yes	—
613	#125	C₂³×C₇	1	16	yes	—
614	#125	C₂³×C₇	1	8	yes	—
615	#125	C₂³×C₇	1	8	yes	—
616	#125	C₂³×C₇	1	8	yes	—
617	#125	C₂³×C₇	1	8	yes	—
618	#125	C₂³×C₇	1	4	yes	—
619	#124	C₂³×C₇	1	8	yes	—
620	#124	C₂³×C₇	1	8	yes	—
621	#124	C₂³×C₇	1	8	yes	—
622	#124	C₂³×C₇	1	8	yes	—
623	#124	C₂³×C₇	1	8	yes	—
624	#124	C₂³×C₇	1	4	yes	—
625	#123	C₂³×C₇	1	8	yes	—
626	#123	C₂³×C₇	1	8	yes	—
627	#123	C₂³×C₇	1	16	yes	—
628	#123	C₂³×C₇	1	16	yes	—
629	#123	C₂³×C₇	1	16	yes	—
630	#123	C₂³×C₇	1	16	yes	—
631	#123	C₂³×C₇	1	16	yes	—
632	#123	C₂³×C₇	1	16	yes	—
633	#123	C₂³×C₇	1	8	yes	—
634	#123	C₂³×C₇	1	16	yes	—
635	#123	C₂³×C₇	1	16	yes	—
636	#123	C₂³×C₇	1	16	yes	—
637	#123	C₂³×C₇	1	8	yes	—
638	#123	C₂³×C₇	1	8	yes	—
639	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
640	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
641	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
642	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
643	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
644	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
645	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
646	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
647	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
648	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
649	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
650	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
651	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
652	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
653	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
654	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
655	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
656	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
657	#121	C₂³×C₇	1	4	yes	—
658	#121	C₂³×C₇	1	8	yes	—
659	#121	C₂³×C₇	1	8	yes	—
660	#121	C₂³×C₇	1	8	yes	—
661	#121	C₂³×C₇	1	8	yes	—
662	#121	C₂³×C₇	1	16	yes	—
663	#121	C₂³×C₇	1	8	yes	—
664	#121	C₂³×C₇	1	4	yes	—
665	#121	C₂³×C₇	1	4	yes	—
666	#121	C₂³×C₇	1	4	yes	—
667	#121	C₂³×C₇	1	16	yes	—
668	#121	C₂³×C₇	1	8	yes	—
669	#121	C₂³×C₇	1	8	yes	—
670	#120	C₂³×C₇	1	8	yes	—
671	#120	C₂³×C₇	1	16	yes	—
672	#120	C₂³×C₇	1	16	yes	—
673	C₄×Q₈	C₂³×C₇	1	8	yes	—
674	C₄×Q₈	C₂³×C₇	1	4	yes	—
675	C₄×Q₈	C₂³×C₇	1	4	yes	—
676	C₄×Q₈	C₂³×C₇	1	4	yes	—
677	C₄×Q₈	C₂³×C₇	1	4	yes	—
678	C₄×Q₈	C₂³×C₇	1	8	yes	—
679	C₄×Q₈	C₂³×C₇	1	8	yes	—
680	C₄×Q₈	C₂³×C₇	1	4	yes	—
681	C₄×Q₈	C₂³×C₇	1	4	yes	—
682	C₄×Q₈	C₂³×C₇	1	8	yes	—
683	C₄×D₄	C₂³×C₇	1	8	yes	—
684	C₄×D₄	C₂³×C₇	1	4	yes	—
685	C₄×D₄	C₂³×C₇	1	4	yes	—
686	C₄×D₄	C₂³×C₇	1	8	yes	—
687	C₄×D₄	C₂³×C₇	1	16	yes	—
688	C₄×D₄	C₂³×C₇	1	4	yes	—
689	C₄×D₄	C₂³×C₇	1	8	yes	—
690	C₄×D₄	C₂³×C₇	1	16	yes	—
691	C₄×D₄	C₂³×C₇	1	16	yes	—
692	C₄×D₄	C₂³×C₇	1	8	yes	—
693	C₄×D₄	C₂³×C₇	1	16	yes	—
694	C₄×D₄	C₂³×C₇	1	16	yes	—
695	C₄×D₄	C₂³×C₇	1	8	yes	—
696	C₄×D₄	C₂³×C₇	1	8	yes	—
697	C₄×D₄	C₂³×C₇	1	8	yes	—
698	C₄×D₄	C₂³×C₇	1	8	yes	—
699	C₄×D₄	C₂³×C₇	1	4	yes	—
700	C₄×D₄	C₂³×C₇	1	16	yes	—
701	C₄×D₄	C₂³×C₇	1	8	yes	—
702	C₄×D₄	C₂³×C₇	1	16	yes	—
703	C₄×D₄	C₂³×C₇	1	8	yes	—
704	C₄×D₄	C₂³×C₇	1	8	yes	—
705	C₄×D₄	C₂³×C₇	1	8	yes	—
706	C₄×D₄	C₂³×C₇	1	4	yes	—
707	C₄×D₄	C₂³×C₇	1	4	yes	—
708	#117	C₂³×C₇	1	4	yes	—
709	#117	C₂³×C₇	1	4	yes	—
710	#117	C₂³×C₇	1	16	yes	—
711	#117	C₂³×C₇	1	4	yes	—
712	#117	C₂³×C₇	1	8	yes	—
713	#117	C₂³×C₇	1	16	yes	—
714	#117	C₂³×C₇	1	8	yes	—
715	#117	C₂³×C₇	1	16	yes	—
716	#117	C₂³×C₇	1	8	yes	—
717	#117	C₂³×C₇	1	16	yes	—
718	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
719	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
720	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
721	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
722	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
723	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
724	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
725	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
726	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
727	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
728	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
729	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
730	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
731	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
732	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
733	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
734	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
735	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
736	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
737	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
738	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
739	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
740	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
741	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	—
742	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
743	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
744	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
745	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
746	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
747	C₂×C₄²	C₂³×C₇	1	2	yes	—
748	C₂×C₄²	C₂³×C₇	1	2	yes	—
749	C₂×C₄²	C₂³×C₇	1	8	yes	—
750	C₂×C₄²	C₂³×C₇	1	8	yes	—
751	C₂²×C₇	—	2	1	no	—
752	C₂²×C₇	—	2	4	no	—
753	C₂²×C₇	—	2	1	no	—
754	C₂²×C₇	—	2	4	no	—
755	C₂²×C₇	—	2	2	no	—
756	C₂²×C₇	—	2	8	no	—
757	C₂²×C₇	—	2	2	no	—
758	C₂²×C₇	—	2	8	no	—
759	C₂²×C₇	—	2	8	no	—
760	C₂²×C₇	—	2	2	no	—
761	C₂²×C₇	—	4	8	no	—
762	C₂²×C₇	—	4	4	no	—
763	C₂²×C₇	—	8	16	no	—
764	C₂²×C₇	C₂²×#41	1	8	yes	—
765	C₂²×C₇	C₂²×#41	1	2	yes	—
766	C₂²×C₇	C₂⁶	1	1	yes	characteristic
767	C₄×C₇	—	2	2	no	—
768	C₄×C₇	—	2	8	no	—
769	C₄×C₇	—	2	4	no	—
770	C₄×C₇	—	2	2	no	—
771	C₄×C₇	—	2	4	no	—
772	C₄×C₇	—	2	1	no	—
773	C₄×C₇	—	2	4	no	—
774	C₄×C₇	—	2	8	no	—
775	C₄×C₇	—	2	1	no	—
776	C₄×C₇	—	2	2	no	—
777	C₄×C₇	—	2	8	no	—
778	C₄×C₇	—	2	2	no	—
779	C₄×C₇	C₂²×#41	1	4	yes	—
780	C₂⁴	C₂⁴×C₇	1	8	yes	—
781	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
782	C₂⁴	C₂⁴×C₇	1	2	yes	—
783	#41	—	2	32	no	—
784	#41	—	2	32	no	—
785	#41	—	2	16	no	—
786	#41	—	8	8	no	—
787	C₂×Q₈	—	2	4	no	—
788	C₂×Q₈	—	8	4	no	—
789	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
790	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
791	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
792	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
793	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
794	C₂×D₄	—	2	8	no	—
795	C₂×D₄	—	2	32	no	—
796	C₂×D₄	—	2	32	no	—
797	C₂×D₄	—	8	4	no	—
798	C₂×D₄	C₇×#41	1	8	yes	complemented
799	C₂×D₄	C₂⁴×C₇	1	8	yes	—
800	C₂×D₄	C₂⁴×C₇	1	8	yes	—
801	C₂×D₄	C₂⁴×C₇	1	16	yes	—
802	C₂×D₄	C₂⁴×C₇	1	4	yes	—
803	C₂×D₄	C₂⁴×C₇	1	4	yes	—
804	C₂×D₄	C₂⁴×C₇	1	8	yes	—
805	C₂×D₄	C₂⁴×C₇	1	8	yes	—
806	C₂×D₄	C₂⁴×C₇	1	8	yes	—
807	C₂×D₄	C₂⁴×C₇	1	4	yes	—
808	C₂×D₄	C₂⁴×C₇	1	4	yes	—
809	C₂²×C₄	—	2	8	no	—
810	C₂²×C₄	—	2	4	no	—
811	C₂²×C₄	—	8	2	no	—
812	C₂²×C₄	—	8	8	no	—
813	C₂²×C₄	—	8	2	no	—
814	C₂²×C₄	—	8	2	no	—
815	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
816	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
817	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
818	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
819	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
820	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
821	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
822	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
823	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
824	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
825	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
826	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
827	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
828	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
829	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
830	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
831	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
832	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
833	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
834	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
835	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
836	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
837	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
838	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
839	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
840	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
841	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
842	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
843	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
844	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
845	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
846	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
847	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
848	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
849	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
850	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
851	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
852	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
853	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
854	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
855	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
856	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
857	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
858	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
859	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
860	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
861	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
862	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
863	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
864	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
865	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
866	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
867	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
868	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
869	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
870	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
871	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
872	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
873	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
874	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
875	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
876	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
877	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
878	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
879	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
880	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
881	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
882	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
883	C₄²	C₂⁴×C₇	1	4	yes	—
884	C₄²	C₂⁴×C₇	1	8	yes	—
885	C₄²	C₂⁴×C₇	1	16	yes	—
886	C₄²	C₂⁴×C₇	1	8	yes	—
887	C₄²	C₂⁴×C₇	1	8	yes	—
888	C₄²	C₂⁴×C₇	1	8	yes	—
889	C₄²	C₂⁴×C₇	1	8	yes	—
890	C₄²	C₂⁴×C₇	1	2	yes	—
891	C₄²	C₂⁴×C₇	1	2	yes	—
892	C₂×C₇	—	2	2	no	—
893	C₂×C₇	—	2	8	no	—
894	C₂×C₇	—	4	2	no	—
895	C₂×C₇	—	4	8	no	—
896	C₂×C₇	C₂³×#41	1	1	yes	characteristic
897	C₂×C₇	H(7,𝔽₂)	1	1	yes	characteristic
898	C₂×C₇	2₋¹⁺⁶	1	1	yes	characteristic
899	C₂³	—	2	2	no	—
900	C₂³	—	2	16	no	—
901	C₂³	—	4	2	no	—
902	C₂³	—	4	1	no	—
903	C₂³	—	4	2	no	—
904	C₂³	—	4	1	no	—
905	C₂³	—	4	8	no	—
906	C₂³	—	4	8	no	—
907	C₂³	C₂×C₇×#41	1	8	yes	—
908	C₂³	C₂⁵×C₇	1	8	yes	—
909	C₂³	C₂⁵×C₇	1	2	yes	—
910	C₂³	C₂⁵×C₇	1	4	yes	—
911	C₂³	C₂⁵×C₇	1	1	yes	characteristic
912	Q₈	—	2	8	no	—
913	Q₈	—	2	8	no	—
914	Q₈	—	4	4	no	—
915	Q₈	—	4	8	no	—
916	Q₈	—	4	4	no	—
917	D₄	—	2	32	no	—
918	D₄	—	2	16	no	—
919	D₄	—	2	16	no	—
920	D₄	—	2	8	no	—
921	D₄	—	4	4	no	—
922	D₄	—	4	8	no	—
923	D₄	—	4	8	no	—
924	D₄	—	4	4	no	—
925	D₄	—	4	8	no	—
926	D₄	C₂×C₇×#41	1	16	yes	—
927	C₂×C₄	—	2	2	no	—
928	C₂×C₄	—	2	4	no	—
929	C₂×C₄	—	2	16	no	—
930	C₂×C₄	—	2	16	no	—
931	C₂×C₄	—	2	8	no	—
932	C₂×C₄	—	2	16	no	—
933	C₂×C₄	—	4	1	no	—
934	C₂×C₄	—	4	8	no	—
935	C₂×C₄	—	4	2	no	—
936	C₂×C₄	—	4	8	no	—
937	C₂×C₄	—	4	1	no	—
938	C₂×C₄	—	4	2	no	—
939	C₂×C₄	—	4	4	no	—
940	C₂×C₄	—	4	4	no	—
941	C₂×C₄	—	4	8	no	—
942	C₂×C₄	—	4	8	no	—
943	C₂×C₄	—	4	16	no	—
944	C₂×C₄	—	4	1	no	—
945	C₂×C₄	—	4	8	no	—
946	C₂×C₄	—	4	8	no	—
947	C₂×C₄	—	4	1	no	—
948	C₂×C₄	C₂×C₇×#41	1	4	yes	—
949	C₂×C₄	C₂⁵×C₇	1	2	yes	—
950	C₂×C₄	C₂⁵×C₇	1	2	yes	—
951	C₂×C₄	C₂⁵×C₇	1	2	yes	—
952	C₂×C₄	C₂⁵×C₇	1	4	yes	—
953	C₂×C₄	C₂⁵×C₇	1	8	yes	—
954	C₂×C₄	C₂⁵×C₇	1	4	yes	—
955	C₂×C₄	C₂⁵×C₇	1	8	yes	—
956	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
957	C₂×C₄	C₂⁵×C₇	1	8	yes	—
958	C₂×C₄	C₂⁵×C₇	1	4	yes	—
959	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
960	C₂×C₄	C₂⁵×C₇	1	2	yes	—
961	C₂×C₄	C₂⁵×C₇	1	2	yes	—
962	C₇	#62847	1	1	yes	characteristic, direct product factor, Sylow
963	C₂²	—	2	1	no	—
964	C₂²	—	2	4	no	—
965	C₂²	—	2	1	no	—
966	C₂²	—	2	4	no	—
967	C₂²	—	2	2	no	—
968	C₂²	—	2	8	no	—
969	C₂²	—	2	2	no	—
970	C₂²	—	2	8	no	—
971	C₂²	—	2	8	no	—
972	C₂²	—	2	2	no	—
973	C₂²	—	4	8	no	—
974	C₂²	—	4	4	no	—
975	C₂²	—	8	16	no	—
976	C₂²	C₂²×C₇×#41	1	8	yes	—
977	C₂²	C₂²×C₇×#41	1	2	yes	—
978	C₂²	C₂⁶×C₇	1	1	yes	characteristic
979	C₄	—	2	2	no	—
980	C₄	—	2	8	no	—
981	C₄	—	2	4	no	—
982	C₄	—	2	2	no	—
983	C₄	—	2	4	no	—
984	C₄	—	2	1	no	—
985	C₄	—	2	4	no	—
986	C₄	—	2	8	no	—
987	C₄	—	2	1	no	—
988	C₄	—	2	2	no	—
989	C₄	—	2	8	no	—
990	C₄	—	2	2	no	—
991	C₄	C₂²×C₇×#41	1	4	yes	—
992	C₂	—	2	2	no	—
993	C₂	—	2	8	no	—
994	C₂	—	4	2	no	—
995	C₂	—	4	8	no	—
996	C₂	C₂³×C₇×#41	1	1	yes	characteristic
997	C₂	C₇×H(7,𝔽₂)	1	1	yes	characteristic
998	C₂	C₇×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₇
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3521	C₂	semidirect
2. C₇×#3520	C₂	semidirect
3. C₇×#3515	C₂	semidirect
4. C₇×#3513	C₂	semidirect
5. C₇×#3507	C₂	semidirect
6. C₇×#3505	C₂	semidirect
7. C₇×#3501	C₂	semidirect
8. C₇×#3496	C₂	semidirect
9. C₇×#3492	C₂	semidirect
10. C₇×#3491	C₂	semidirect
11. C₇×#3485	C₂	semidirect
12. C₇×#3461	C₂	semidirect
13. C₇×#3459	C₂	semidirect
14. C₇×#3455	C₂	semidirect
15. C₂×C₇×#539	C₂	semidirect
16. C₄×C₇×H(5,𝔽₂)	C₂	semidirect
17. C₂×C₇×#520	C₂	semidirect
20. C₇×#559	C₂²	semidirect
21. C₇×#557	C₂²	semidirect
22. C₇×#556	C₂²	semidirect
23. C₇×#556	C₂²	semidirect
24. C₇×#554	C₂²	semidirect
25. C₇×#554	C₂²	semidirect
26. C₇×#554	C₂²	semidirect
27. C₇×#554	C₂²	semidirect
28. C₇×#553	C₂²	semidirect
29. C₇×#553	C₂²	semidirect
30. C₇×#553	C₂²	semidirect
31. C₇×#552	C₂²	semidirect
32. C₇×#552	C₂²	semidirect
33. C₇×#552	C₂²	semidirect
34. C₇×#552	C₂²	semidirect
35. C₇×#552	C₂²	semidirect
36. C₇×#551	C₂²	semidirect
37. C₇×#551	C₂²	semidirect
38. C₇×#551	C₂²	semidirect
39. C₇×D₄×Q₈	C₂²	semidirect
40. C₇×#548	C₂²	semidirect
41. C₇×#547	C₂²	semidirect
42. C₇×#547	C₂²	semidirect
43. C₇×#547	C₂²	semidirect
44. C₇×#547	C₂²	semidirect
45. C₇×#546	C₂²	semidirect
46. C₇×#546	C₂²	semidirect
47. C₇×#546	C₂²	semidirect
48. C₇×#546	C₂²	semidirect
49. C₇×D₄²	C₂²	semidirect
50. C₇×#544	C₂²	semidirect
51. C₇×#543	C₂²	semidirect
52. C₇×#542	C₂²	semidirect
53. C₇×#542	C₂²	semidirect
54. C₇×#542	C₂²	semidirect
55. C₇×#541	C₂²	semidirect
56. C₇×#541	C₂²	semidirect
57. C₇×#540	C₂²	semidirect
58. C₇×#539	C₂²	semidirect
59. C₇×#539	C₂²	semidirect
60. C₇×#539	C₂²	semidirect
61. C₇×#539	C₂²	semidirect
62. C₇×#539	C₂²	semidirect
63. C₇×#539	C₂²	semidirect
64. C₇×#539	C₂²	semidirect
65. C₇×#539	C₂²	semidirect
66. C₇×#538	C₂²	semidirect
67. C₇×#538	C₂²	semidirect
68. C₇×#538	C₂²	semidirect
70. C₇×#536	C₂²	semidirect
72. C₇×#534	C₂²	semidirect
73. C₇×#533	C₂²	semidirect
74. C₇×#533	C₂²	semidirect
76. C₇×#529	C₂²	semidirect
77. C₇×#529	C₂²	semidirect
78. C₇×#529	C₂²	semidirect
79. C₇×#529	C₂²	semidirect
80. C₇×#529	C₂²	semidirect
81. C₇×#529	C₂²	semidirect
82. C₂×C₇×#126	C₂²	semidirect
83. C₂×C₇×#125	C₂²	semidirect
84. C₇×#525	C₂²	semidirect
85. C₇×#525	C₂²	semidirect
86. C₇×#525	C₂²	semidirect
87. C₂×C₇×#123	C₂²	semidirect
88. C₂×C₇×#123	C₂²	semidirect
89. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
90. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
92. C₇×#520	C₂²	semidirect
93. C₇×#520	C₂²	semidirect
94. C₇×#520	C₂²	semidirect
95. C₇×#520	C₂²	semidirect
97. C₇×#518	C₂²	semidirect
98. C₇×#518	C₂²	semidirect
99. C₄×C₇×#41	C₂²	semidirect
100. C₄×C₇×#41	C₂²	semidirect
101. C₂×C₄×C₇×Q₈	C₂²	semidirect
102. C₂×C₄×C₇×Q₈	C₂²	semidirect
105. C₂×C₄×C₇×D₄	C₂²	semidirect
106. C₂×C₄×C₇×D₄	C₂²	semidirect
107. C₂×C₄×C₇×D₄	C₂²	semidirect
108. C₂×C₄×C₇×D₄	C₂²	semidirect
109. C₂×C₇×#117	C₂²	semidirect
110. C₂×C₇×#117	C₂²	semidirect
111. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
112. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
113. #62847	C₇	direct (N × H)
289. #3521	C₂×C₇	semidirect
290. #3520	C₂×C₇	semidirect
291. #3515	C₂×C₇	semidirect
292. #3513	C₂×C₇	semidirect
293. #3507	C₂×C₇	semidirect
294. #3505	C₂×C₇	semidirect
295. #3501	C₂×C₇	semidirect
296. #3496	C₂×C₇	semidirect
297. #3492	C₂×C₇	semidirect
298. #3491	C₂×C₇	semidirect
299. #3485	C₂×C₇	semidirect
300. #3461	C₂×C₇	semidirect
301. #3459	C₂×C₇	semidirect
302. #3455	C₂×C₇	semidirect
303. C₂×#539	C₂×C₇	semidirect
304. C₄×H(5,𝔽₂)	C₂×C₇	semidirect
305. C₂×#520	C₂×C₇	semidirect
324. C₂×C₇×D₄	#41	semidirect
420. #559	C₂²×C₇	semidirect
421. #557	C₂²×C₇	semidirect
422. #556	C₂²×C₇	semidirect
423. #556	C₂²×C₇	semidirect
424. #554	C₂²×C₇	semidirect
425. #554	C₂²×C₇	semidirect
426. #554	C₂²×C₇	semidirect
427. #554	C₂²×C₇	semidirect
428. #553	C₂²×C₇	semidirect
429. #553	C₂²×C₇	semidirect
430. #553	C₂²×C₇	semidirect
431. #552	C₂²×C₇	semidirect
432. #552	C₂²×C₇	semidirect
433. #552	C₂²×C₇	semidirect
434. #552	C₂²×C₇	semidirect
435. #552	C₂²×C₇	semidirect
436. #551	C₂²×C₇	semidirect
437. #551	C₂²×C₇	semidirect
438. #551	C₂²×C₇	semidirect
439. D₄×Q₈	C₂²×C₇	semidirect
440. #548	C₂²×C₇	semidirect
441. #547	C₂²×C₇	semidirect
442. #547	C₂²×C₇	semidirect
443. #547	C₂²×C₇	semidirect
444. #547	C₂²×C₇	semidirect
445. #546	C₂²×C₇	semidirect
446. #546	C₂²×C₇	semidirect
447. #546	C₂²×C₇	semidirect
448. #546	C₂²×C₇	semidirect
449. D₄²	C₂²×C₇	semidirect
450. #544	C₂²×C₇	semidirect
451. #543	C₂²×C₇	semidirect
452. #542	C₂²×C₇	semidirect
453. #542	C₂²×C₇	semidirect
454. #542	C₂²×C₇	semidirect
455. #541	C₂²×C₇	semidirect
456. #541	C₂²×C₇	semidirect
457. #540	C₂²×C₇	semidirect
458. #539	C₂²×C₇	semidirect
459. #539	C₂²×C₇	semidirect
460. #539	C₂²×C₇	semidirect
461. #539	C₂²×C₇	semidirect
462. #539	C₂²×C₇	semidirect
463. #539	C₂²×C₇	semidirect
464. #539	C₂²×C₇	semidirect
465. #539	C₂²×C₇	semidirect
466. #538	C₂²×C₇	semidirect
467. #538	C₂²×C₇	semidirect
468. #538	C₂²×C₇	semidirect
470. #536	C₂²×C₇	semidirect
472. #534	C₂²×C₇	semidirect
473. #533	C₂²×C₇	semidirect
474. #533	C₂²×C₇	semidirect
476. #529	C₂²×C₇	semidirect
477. #529	C₂²×C₇	semidirect
478. #529	C₂²×C₇	semidirect
479. #529	C₂²×C₇	semidirect
480. #529	C₂²×C₇	semidirect
481. #529	C₂²×C₇	semidirect
482. C₂×#126	C₂²×C₇	semidirect
483. C₂×#125	C₂²×C₇	semidirect
484. #525	C₂²×C₇	semidirect
485. #525	C₂²×C₇	semidirect
486. #525	C₂²×C₇	semidirect
487. C₂×#123	C₂²×C₇	semidirect
488. C₂×#123	C₂²×C₇	semidirect
489. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
490. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
492. #520	C₂²×C₇	semidirect
493. #520	C₂²×C₇	semidirect
494. #520	C₂²×C₇	semidirect
495. #520	C₂²×C₇	semidirect
497. #518	C₂²×C₇	semidirect
498. #518	C₂²×C₇	semidirect
499. C₄×#41	C₂²×C₇	semidirect
500. C₄×#41	C₂²×C₇	semidirect
501. C₂×C₄×Q₈	C₂²×C₇	semidirect
502. C₂×C₄×Q₈	C₂²×C₇	semidirect
505. C₂×C₄×D₄	C₂²×C₇	semidirect
506. C₂×C₄×D₄	C₂²×C₇	semidirect
507. C₂×C₄×D₄	C₂²×C₇	semidirect
508. C₂×C₄×D₄	C₂²×C₇	semidirect
509. C₂×#117	C₂²×C₇	semidirect
510. C₂×#117	C₂²×C₇	semidirect
511. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
512. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
798. C₂×D₄	C₇×#41	semidirect
962. C₇	#62847	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×#3521	2
C₇×#3520	2
C₇×#3515	2
C₇×#3513	2
C₇×#3507	2
C₇×#3505	2
C₇×#3501	2
C₇×#3496	2
C₇×#3492	2
C₇×#3491	2
C₇×#3485	2
C₇×#3461	2
C₇×#3459	2
C₇×#3455	2
C₂×C₇×#539	2
C₄×C₇×H(5,𝔽₂)	2
C₂×C₇×#520	2
#62847	7

Subgroups — C7×#62847 #13240063

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62847 #13240063