Subgroups — C₇×#62876 #13240092

Order 1792.

7414 conjugacy classes of subgroups.

The subgroup lattice has 1004 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3562	C₂	1	8	yes	maximal, complemented
2	C₇×#3558	C₂	1	8	yes	maximal, complemented
3	C₇×#3546	C₂	1	8	yes	maximal, complemented
4	C₇×#3543	C₂	1	8	yes	maximal, complemented
5	C₇×#3534	C₂	1	8	yes	maximal, complemented
6	C₇×#3532	C₂	1	8	yes	maximal, complemented
7	C₇×#3510	C₂	1	2	yes	maximal, complemented
8	C₇×#3508	C₂	1	2	yes	maximal, complemented
9	C₇×#3500	C₂	1	2	yes	maximal, complemented
10	C₇×#3498	C₂	1	2	yes	maximal, complemented
11	C₇×#3487	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3485	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3484	C₂	1	2	yes	maximal, complemented
14	C₇×#3455	C₂	1	2	yes	maximal, complemented
15	C₂×C₇×#535	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₇×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
17	C₂×C₇×H(5,𝔽₂)	C₂²	1	2	yes	complemented
18	C₂×C₇×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
19	C₂²×C₇×#41	C₂²	1	1	yes	characteristic, complemented
20	C₂³×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
21	C₇×#562	C₂²	1	16	yes	complemented
22	C₇×H(3,𝔽₄)	C₂²	1	8	yes	complemented
23	C₇×#560	C₂²	1	16	yes	complemented
24	C₇×#560	C₂²	1	8	yes	complemented
25	C₇×#560	C₂²	1	16	yes	complemented
26	C₇×#559	C₂²	1	8	yes	complemented
27	C₇×#559	C₂²	1	8	yes	complemented
28	C₇×#556	C₂²	1	8	yes	complemented
29	C₇×#553	C₂²	1	16	yes	complemented
30	C₇×#551	C₂²	1	16	yes	complemented
31	C₇×#551	C₂²	1	8	yes	complemented
32	C₇×#550	C₂²	1	8	yes	complemented
33	C₇×#550	C₂²	1	8	yes	complemented
34	C₇×#550	C₂²	1	8	yes	complemented
35	C₇×#548	C₂²	1	8	yes	complemented
36	C₇×#548	C₂²	1	8	yes	complemented
37	C₇×#547	C₂²	1	8	yes	complemented
38	C₇×#546	C₂²	1	8	yes	complemented
39	C₇×#546	C₂²	1	8	yes	complemented
40	C₇×#546	C₂²	1	16	yes	complemented
41	C₇×#546	C₂²	1	16	yes	complemented
42	C₇×#546	C₂²	1	16	yes	complemented
43	C₇×#546	C₂²	1	8	yes	complemented
44	C₇×#546	C₂²	1	16	yes	complemented
45	C₇×#546	C₂²	1	8	yes	complemented
46	C₇×D₄²	C₂²	1	8	yes	complemented
47	C₇×D₄²	C₂²	1	8	yes	complemented
48	C₇×D₄²	C₂²	1	16	yes	complemented
49	C₇×D₄²	C₂²	1	8	yes	complemented
50	C₇×D₄²	C₂²	1	8	yes	complemented
51	C₇×#542	C₂²	1	4	yes	complemented
52	C₇×#542	C₂²	1	4	yes	complemented
53	C₇×#542	C₂²	1	8	yes	complemented
54	C₇×#541	C₂²	1	4	yes	complemented
55	C₇×#540	C₂²	1	4	yes	complemented
56	C₇×#540	C₂²	1	8	yes	complemented
57	C₇×#540	C₂²	1	16	yes	complemented
58	C₇×#539	C₂²	1	8	yes	complemented
59	C₇×#539	C₂²	1	8	yes	complemented
60	C₇×#538	C₂²	1	8	yes	complemented
61	C₇×#538	C₂²	1	16	yes	complemented
62	C₇×#538	C₂²	1	16	yes	complemented
63	C₇×#538	C₂²	1	16	yes	complemented
64	C₇×#538	C₂²	1	8	yes	complemented
65	C₇×#537	C₂²	1	8	yes	complemented
66	C₇×#536	C₂²	1	2	yes	complemented
67	C₇×#536	C₂²	1	4	yes	complemented
68	C₇×#535	C₂²	1	2	yes	—
69	C₇×#535	C₂²	1	8	yes	complemented
70	C₇×#535	C₂²	1	8	yes	complemented
71	C₇×#535	C₂²	1	2	yes	complemented
72	C₇×#535	C₂²	1	4	yes	complemented
73	C₇×#535	C₂²	1	2	yes	complemented
74	C₇×#535	C₂²	1	16	yes	complemented
75	C₇×#535	C₂²	1	4	yes	complemented
76	C₇×#535	C₂²	1	4	yes	complemented
77	C₇×#535	C₂²	1	4	yes	complemented
78	C₇×#534	C₂²	1	8	yes	complemented
79	C₇×#534	C₂²	1	4	yes	complemented
80	C₇×#534	C₂²	1	16	yes	complemented
81	C₇×#534	C₂²	1	8	yes	complemented
82	C₇×#533	C₂²	1	2	yes	complemented
83	C₇×#532	C₂²	1	2	yes	complemented
84	C₇×#532	C₂²	1	8	yes	complemented
85	C₇×#532	C₂²	1	4	yes	complemented
86	C₇×#532	C₂²	1	4	yes	complemented
87	C₂×C₇×#127	C₂²	1	2	yes	complemented
88	C₂×C₇×#127	C₂²	1	4	yes	complemented
89	C₇×#529	C₂²	1	8	yes	complemented
90	C₇×#529	C₂²	1	8	yes	complemented
91	C₇×#529	C₂²	1	8	yes	complemented
92	C₂×C₇×#124	C₂²	1	2	yes	complemented
93	C₂×C₇×#124	C₂²	1	4	yes	complemented
94	C₇×#525	C₂²	1	2	yes	complemented
95	C₇×#525	C₂²	1	2	yes	complemented
96	C₇×#525	C₂²	1	4	yes	complemented
97	C₂×C₇×#123	C₂²	1	4	yes	complemented
98	C₂×C₇×#121	C₂²	1	4	yes	complemented
99	C₂×C₇×#120	C₂²	1	4	yes	complemented
100	C₂×C₇×#120	C₂²	1	8	yes	complemented
101	C₇×#519	C₂²	1	1	yes	characteristic, complemented
102	C₇×#518	C₂²	1	2	yes	complemented
103	C₇×#518	C₂²	1	1	yes	characteristic, complemented
104	C₄×C₇×#41	C₂²	1	2	yes	complemented
105	C₄×C₇×#41	C₂²	1	2	yes	complemented
106	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
107	#62876	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
108	C₂⁵×C₇	C₂³	1	2	yes	—
109	C₇×2₋¹⁺⁴	—	4	4	no	—
110	C₇×H(5,𝔽₂)	—	4	8	no	—
111	C₇×H(5,𝔽₂)	—	4	4	no	—
112	C₂×C₇×#41	—	4	4	no	—
113	C₂×C₇×#41	C₂³	1	2	yes	—
114	C₂×C₇×#41	C₂³	1	2	yes	—
115	C₂×C₇×#41	C₂³	1	8	yes	—
116	C₂×C₇×#41	C₂³	1	4	yes	—
117	C₂×C₇×#41	C₂³	1	4	yes	—
118	C₂×C₇×#41	C₂³	1	4	yes	—
119	C₂×C₇×#41	C₂³	1	4	yes	complemented
120	C₂×C₇×#41	C₂³	1	4	yes	complemented
121	C₂×C₇×#41	C₂³	1	16	yes	complemented
122	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
123	C₂²×C₇×Q₈	C₂³	1	4	yes	complemented
124	C₂²×C₇×D₄	—	4	4	no	—
125	C₂²×C₇×D₄	C₂³	1	2	yes	—
126	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
127	C₂²×C₇×D₄	C₂³	1	2	yes	—
128	C₂²×C₇×D₄	C₂³	1	8	yes	—
129	C₂²×C₇×D₄	C₂³	1	2	yes	—
130	C₂²×C₇×D₄	C₂³	1	8	yes	—
131	C₂²×C₇×D₄	C₂³	1	4	yes	—
132	C₂²×C₇×D₄	C₂³	1	4	yes	—
133	C₂²×C₇×D₄	C₂³	1	4	yes	—
134	C₂²×C₇×D₄	C₂³	1	8	yes	—
135	C₂²×C₇×D₄	C₂³	1	16	yes	—
136	C₂²×C₇×D₄	C₂³	1	4	yes	complemented
137	C₂²×C₇×D₄	C₂³	1	16	yes	complemented
138	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₇	C₂³	1	2	yes	—
140	C₇×C₄⋊Q₈	C₂³	1	2	yes	complemented
141	C₇×C₄⋊Q₈	C₂³	1	4	yes	complemented
142	C₇×C₄⋊Q₈	C₂³	1	4	yes	complemented
143	C₇×#127	C₂³	1	4	yes	—
144	C₇×#127	C₂³	1	4	yes	—
145	C₇×#127	C₂³	1	4	yes	—
146	C₇×#127	C₂³	1	8	yes	—
147	C₇×#127	C₂³	1	4	yes	—
148	C₇×#127	C₂³	1	8	yes	—
149	C₇×#127	C₂³	1	2	yes	complemented
150	C₇×#127	C₂³	1	4	yes	complemented
151	C₇×#127	C₂³	1	16	yes	complemented
152	C₇×#126	C₂³	1	8	yes	—
153	C₇×#126	C₂³	1	8	yes	—
154	C₇×#126	C₂³	1	8	yes	complemented
155	C₇×#126	C₂³	1	16	yes	complemented
156	C₇×#126	C₂³	1	8	yes	complemented
157	C₇×#126	C₂³	1	16	yes	complemented
158	C₇×#125	C₂³	1	4	yes	complemented
159	C₇×#125	C₂³	1	8	yes	complemented
160	C₇×#125	C₂³	1	8	yes	complemented
161	C₇×#124	C₂³	1	4	yes	—
162	C₇×#124	C₂³	1	4	yes	—
163	C₇×#124	C₂³	1	8	yes	—
164	C₇×#124	C₂³	1	4	yes	—
165	C₇×#124	C₂³	1	8	yes	—
166	C₇×#124	C₂³	1	8	yes	—
167	C₇×#124	C₂³	1	4	yes	—
168	C₇×#124	C₂³	1	8	yes	—
169	C₇×#124	C₂³	1	2	yes	complemented
170	C₇×#124	C₂³	1	4	yes	complemented
171	C₇×#124	C₂³	1	16	yes	complemented
172	C₇×#124	C₂³	1	2	yes	complemented
173	C₇×#124	C₂³	1	4	yes	complemented
174	C₇×#124	C₂³	1	16	yes	complemented
175	C₇×#124	C₂³	1	16	yes	complemented
176	C₇×#123	C₂³	1	4	yes	—
177	C₇×#123	C₂³	1	8	yes	—
178	C₇×#123	C₂³	1	4	yes	—
179	C₇×#123	C₂³	1	8	yes	—
180	C₇×#123	C₂³	1	8	yes	—
181	C₇×#123	C₂³	1	8	yes	—
182	C₇×#123	C₂³	1	16	yes	—
183	C₇×#123	C₂³	1	16	yes	complemented
184	C₇×#123	C₂³	1	8	yes	complemented
185	C₇×#123	C₂³	1	16	yes	complemented
186	C₇×#123	C₂³	1	8	yes	complemented
187	C₇×#123	C₂³	1	16	yes	complemented
188	C₇×#123	C₂³	1	16	yes	complemented
189	C₇×#123	C₂³	1	16	yes	complemented
190	C₇×#123	C₂³	1	16	yes	complemented
191	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
192	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
193	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
194	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
195	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
196	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
197	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
198	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
199	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
200	C₇×#121	C₂³	1	8	yes	—
201	C₇×#121	C₂³	1	8	yes	—
202	C₇×#121	C₂³	1	16	yes	—
203	C₇×#121	C₂³	1	4	yes	—
204	C₇×#121	C₂³	1	4	yes	—
205	C₇×#121	C₂³	1	8	yes	—
206	C₇×#121	C₂³	1	8	yes	—
207	C₇×#121	C₂³	1	8	yes	—
208	C₇×#121	C₂³	1	8	yes	—
209	C₇×#121	C₂³	1	8	yes	—
210	C₇×#121	C₂³	1	16	yes	—
211	C₇×#121	C₂³	1	16	yes	—
212	C₇×#121	C₂³	1	16	yes	—
213	C₇×#121	C₂³	1	16	yes	—
214	C₇×#121	C₂³	1	8	yes	complemented
215	C₇×#121	C₂³	1	16	yes	complemented
216	C₇×#121	C₂³	1	16	yes	complemented
217	C₇×#121	C₂³	1	8	yes	complemented
218	C₇×#121	C₂³	1	16	yes	complemented
219	C₇×#121	C₂³	1	16	yes	complemented
220	C₇×#121	C₂³	1	16	yes	complemented
221	C₇×#121	C₂³	1	16	yes	complemented
222	C₇×#121	C₂³	1	16	yes	complemented
223	C₇×#121	C₂³	1	16	yes	complemented
224	C₇×#120	C₂³	1	4	yes	—
225	C₇×#120	C₂³	1	4	yes	—
226	C₇×#120	C₂³	1	8	yes	—
227	C₇×#120	C₂³	1	16	yes	—
228	C₇×#120	C₂³	1	8	yes	—
229	C₇×#120	C₂³	1	16	yes	—
230	C₇×#120	C₂³	1	8	yes	—
231	C₇×#120	C₂³	1	8	yes	—
232	C₇×#120	C₂³	1	16	yes	—
233	C₇×#120	C₂³	1	8	yes	—
234	C₇×#120	C₂³	1	8	yes	—
235	C₇×#120	C₂³	1	16	yes	—
236	C₇×#120	C₂³	1	16	yes	complemented
237	C₇×#120	C₂³	1	16	yes	complemented
238	C₇×#120	C₂³	1	16	yes	complemented
239	C₄×C₇×Q₈	C₂³	1	4	yes	complemented
240	C₄×C₇×Q₈	C₂³	1	4	yes	complemented
241	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
242	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
243	C₄×C₇×D₄	C₂³	1	8	yes	—
244	C₄×C₇×D₄	C₂³	1	8	yes	—
245	C₄×C₇×D₄	C₂³	1	8	yes	—
246	C₄×C₇×D₄	C₂³	1	8	yes	—
247	C₄×C₇×D₄	C₂³	1	8	yes	—
248	C₄×C₇×D₄	C₂³	1	8	yes	—
249	C₄×C₇×D₄	C₂³	1	4	yes	complemented
250	C₄×C₇×D₄	C₂³	1	4	yes	complemented
251	C₄×C₇×D₄	C₂³	1	8	yes	complemented
252	C₄×C₇×D₄	C₂³	1	16	yes	complemented
253	C₄×C₇×D₄	C₂³	1	8	yes	complemented
254	C₄×C₇×D₄	C₂³	1	16	yes	complemented
255	C₄×C₇×D₄	C₂³	1	16	yes	complemented
256	C₄×C₇×D₄	C₂³	1	16	yes	complemented
257	C₄×C₇×D₄	C₂³	1	16	yes	complemented
258	C₇×#117	C₂³	1	4	yes	—
259	C₇×#117	C₂³	1	4	yes	—
260	C₇×#117	C₂³	1	2	yes	—
261	C₇×#117	C₂³	1	2	yes	—
262	C₇×#117	C₂³	1	4	yes	—
263	C₇×#117	C₂³	1	4	yes	complemented
264	C₇×#117	C₂³	1	4	yes	complemented
265	C₇×#117	C₂³	1	16	yes	complemented
266	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
267	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
268	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
269	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
270	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
271	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
272	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	—
273	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
274	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	complemented
275	C₂×C₄²×C₇	C₂³	1	2	yes	—
276	C₂×C₄²×C₇	C₂³	1	4	yes	complemented
277	C₂×C₄²×C₇	C₂³	1	4	yes	complemented
278	#3562	C₂×C₇	1	8	yes	complemented
279	#3558	C₂×C₇	1	8	yes	complemented
280	#3546	C₂×C₇	1	8	yes	complemented
281	#3543	C₂×C₇	1	8	yes	complemented
282	#3534	C₂×C₇	1	8	yes	complemented
283	#3532	C₂×C₇	1	8	yes	complemented
284	#3510	C₂×C₇	1	2	yes	complemented
285	#3508	C₂×C₇	1	2	yes	complemented
286	#3500	C₂×C₇	1	2	yes	complemented
287	#3498	C₂×C₇	1	2	yes	complemented
288	#3487	C₂×C₇	1	1	yes	characteristic, complemented
289	#3485	C₂×C₇	1	1	yes	characteristic, complemented
290	#3484	C₂×C₇	1	2	yes	complemented
291	#3455	C₂×C₇	1	2	yes	complemented
292	C₂×#535	C₂×C₇	1	1	yes	characteristic, complemented
293	C₂⁴×C₇	—	4	4	no	—
294	C₂⁴×C₇	—	8	4	no	—
295	C₂⁴×C₇	C₂⁴	1	4	yes	—
296	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
297	C₂⁴×C₇	C₂⁴	1	2	yes	—
298	C₂⁴×C₇	C₂⁴	1	8	yes	—
299	C₂⁴×C₇	C₂⁴	1	8	yes	—
300	C₂⁴×C₇	C₂⁴	1	4	yes	—
301	C₇×#41	—	2	8	no	—
302	C₇×#41	—	2	8	no	—
303	C₇×#41	—	4	8	no	—
304	C₇×#41	—	4	16	no	—
305	C₇×#41	—	4	8	no	—
306	C₇×#41	—	4	8	no	—
307	C₇×#41	—	4	8	no	—
308	C₇×#41	—	4	8	no	—
309	C₇×#41	—	8	16	no	—
310	C₂×C₇×Q₈	—	2	4	no	—
311	C₂×C₇×Q₈	—	4	8	no	—
312	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
313	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
314	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
315	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
316	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
317	C₂×C₇×D₄	—	2	8	no	—
318	C₂×C₇×D₄	—	2	4	no	—
319	C₂×C₇×D₄	—	4	16	no	—
320	C₂×C₇×D₄	—	4	8	no	—
321	C₂×C₇×D₄	—	4	8	no	—
322	C₂×C₇×D₄	—	4	8	no	—
323	C₂×C₇×D₄	—	4	4	no	—
324	C₂×C₇×D₄	—	4	4	no	—
325	C₂×C₇×D₄	—	4	8	no	—
326	C₂×C₇×D₄	—	4	16	no	—
327	C₂×C₇×D₄	—	8	8	no	—
328	C₂×C₇×D₄	—	8	16	no	—
329	C₂×C₇×D₄	—	8	16	no	—
330	C₂×C₇×D₄	C₂⁴	1	4	yes	—
331	C₂×C₇×D₄	C₂⁴	1	4	yes	—
332	C₂×C₇×D₄	C₂⁴	1	4	yes	—
333	C₂×C₇×D₄	C₂⁴	1	4	yes	—
334	C₂×C₇×D₄	C₂⁴	1	2	yes	—
335	C₂×C₇×D₄	C₂⁴	1	2	yes	—
336	C₂×C₇×D₄	C₂⁴	1	4	yes	—
337	C₂×C₇×D₄	C₂⁴	1	8	yes	—
338	C₂×C₇×D₄	C₂⁴	1	8	yes	—
339	C₂×C₇×D₄	C₂⁴	1	16	yes	—
340	C₂×C₇×D₄	C₂⁴	1	16	yes	—
341	C₂×C₇×D₄	C₂⁴	1	16	yes	—
342	C₂×C₇×D₄	C₂⁴	1	16	yes	—
343	C₂×C₇×D₄	C₂⁴	1	16	yes	—
344	C₂×C₇×D₄	C₂⁴	1	8	yes	—
345	C₂×C₇×D₄	C₂⁴	1	8	yes	—
346	C₂×C₇×D₄	C₂⁴	1	8	yes	—
347	C₂×C₇×D₄	C₂⁴	1	8	yes	—
348	C₂×C₇×D₄	C₂⁴	1	8	yes	—
349	C₂×C₇×D₄	C₂⁴	1	4	yes	—
350	C₂×C₇×D₄	C₂⁴	1	8	yes	—
351	C₂²×C₄×C₇	—	2	4	no	—
352	C₂²×C₄×C₇	—	4	4	no	—
353	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
354	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
355	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
356	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
358	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
359	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
360	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
361	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
362	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
363	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
364	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
365	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
366	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
367	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
368	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
369	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
370	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
371	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
372	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
373	C₇×C₄⋊C₄	C₂⁴	1	4	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	8	yes	—
379	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
380	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
381	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
382	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
383	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
384	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
385	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
386	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
387	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
388	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
389	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
390	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
391	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
392	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
393	C₇×C₂²⋊C₄	C₂⁴	1	16	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	16	yes	—
398	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
399	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
400	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
401	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
402	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
403	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
404	C₄²×C₇	C₂⁴	1	2	yes	—
405	C₄²×C₇	C₂⁴	1	2	yes	—
406	C₄²×C₇	C₂⁴	1	4	yes	—
407	C₄²×C₇	C₂⁴	1	4	yes	—
408	C₄²×C₇	C₂⁴	1	4	yes	—
409	C₄²×C₇	C₂⁴	1	8	yes	—
410	C₄²×C₇	C₂⁴	1	8	yes	—
411	C₄²×C₇	C₂⁴	1	8	yes	—
412	C₂×2₋¹⁺⁴	C₂²×C₇	1	1	yes	characteristic, complemented
413	C₂×H(5,𝔽₂)	C₂²×C₇	1	2	yes	complemented
414	C₂×H(5,𝔽₂)	C₂²×C₇	1	1	yes	characteristic, complemented
415	C₂²×#41	C₂²×C₇	1	1	yes	characteristic, complemented
416	C₂³×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
417	#562	C₂²×C₇	1	16	yes	complemented
418	H(3,𝔽₄)	C₂²×C₇	1	8	yes	complemented
419	#560	C₂²×C₇	1	16	yes	complemented
420	#560	C₂²×C₇	1	8	yes	complemented
421	#560	C₂²×C₇	1	16	yes	complemented
422	#559	C₂²×C₇	1	8	yes	complemented
423	#559	C₂²×C₇	1	8	yes	complemented
424	#556	C₂²×C₇	1	8	yes	complemented
425	#553	C₂²×C₇	1	16	yes	complemented
426	#551	C₂²×C₇	1	16	yes	complemented
427	#551	C₂²×C₇	1	8	yes	complemented
428	#550	C₂²×C₇	1	8	yes	complemented
429	#550	C₂²×C₇	1	8	yes	complemented
430	#550	C₂²×C₇	1	8	yes	complemented
431	#548	C₂²×C₇	1	8	yes	complemented
432	#548	C₂²×C₇	1	8	yes	complemented
433	#547	C₂²×C₇	1	8	yes	complemented
434	#546	C₂²×C₇	1	8	yes	complemented
435	#546	C₂²×C₇	1	8	yes	complemented
436	#546	C₂²×C₇	1	16	yes	complemented
437	#546	C₂²×C₇	1	16	yes	complemented
438	#546	C₂²×C₇	1	16	yes	complemented
439	#546	C₂²×C₇	1	8	yes	complemented
440	#546	C₂²×C₇	1	16	yes	complemented
441	#546	C₂²×C₇	1	8	yes	complemented
442	D₄²	C₂²×C₇	1	8	yes	complemented
443	D₄²	C₂²×C₇	1	8	yes	complemented
444	D₄²	C₂²×C₇	1	16	yes	complemented
445	D₄²	C₂²×C₇	1	8	yes	complemented
446	D₄²	C₂²×C₇	1	8	yes	complemented
447	#542	C₂²×C₇	1	4	yes	complemented
448	#542	C₂²×C₇	1	4	yes	complemented
449	#542	C₂²×C₇	1	8	yes	complemented
450	#541	C₂²×C₇	1	4	yes	complemented
451	#540	C₂²×C₇	1	4	yes	complemented
452	#540	C₂²×C₇	1	8	yes	complemented
453	#540	C₂²×C₇	1	16	yes	complemented
454	#539	C₂²×C₇	1	8	yes	complemented
455	#539	C₂²×C₇	1	8	yes	complemented
456	#538	C₂²×C₇	1	8	yes	complemented
457	#538	C₂²×C₇	1	16	yes	complemented
458	#538	C₂²×C₇	1	16	yes	complemented
459	#538	C₂²×C₇	1	16	yes	complemented
460	#538	C₂²×C₇	1	8	yes	complemented
461	#537	C₂²×C₇	1	8	yes	complemented
462	#536	C₂²×C₇	1	2	yes	complemented
463	#536	C₂²×C₇	1	4	yes	complemented
464	#535	C₂²×C₇	1	2	yes	—
465	#535	C₂²×C₇	1	8	yes	complemented
466	#535	C₂²×C₇	1	8	yes	complemented
467	#535	C₂²×C₇	1	2	yes	complemented
468	#535	C₂²×C₇	1	4	yes	complemented
469	#535	C₂²×C₇	1	2	yes	complemented
470	#535	C₂²×C₇	1	16	yes	complemented
471	#535	C₂²×C₇	1	4	yes	complemented
472	#535	C₂²×C₇	1	4	yes	complemented
473	#535	C₂²×C₇	1	4	yes	complemented
474	#534	C₂²×C₇	1	8	yes	complemented
475	#534	C₂²×C₇	1	4	yes	complemented
476	#534	C₂²×C₇	1	16	yes	complemented
477	#534	C₂²×C₇	1	8	yes	complemented
478	#533	C₂²×C₇	1	2	yes	complemented
479	#532	C₂²×C₇	1	2	yes	complemented
480	#532	C₂²×C₇	1	8	yes	complemented
481	#532	C₂²×C₇	1	4	yes	complemented
482	#532	C₂²×C₇	1	4	yes	complemented
483	C₂×#127	C₂²×C₇	1	2	yes	complemented
484	C₂×#127	C₂²×C₇	1	4	yes	complemented
485	#529	C₂²×C₇	1	8	yes	complemented
486	#529	C₂²×C₇	1	8	yes	complemented
487	#529	C₂²×C₇	1	8	yes	complemented
488	C₂×#124	C₂²×C₇	1	2	yes	complemented
489	C₂×#124	C₂²×C₇	1	4	yes	complemented
490	#525	C₂²×C₇	1	2	yes	complemented
491	#525	C₂²×C₇	1	2	yes	complemented
492	#525	C₂²×C₇	1	4	yes	complemented
493	C₂×#123	C₂²×C₇	1	4	yes	complemented
494	C₂×#121	C₂²×C₇	1	4	yes	complemented
495	C₂×#120	C₂²×C₇	1	4	yes	complemented
496	C₂×#120	C₂²×C₇	1	8	yes	complemented
497	#519	C₂²×C₇	1	1	yes	characteristic, complemented
498	#518	C₂²×C₇	1	2	yes	complemented
499	#518	C₂²×C₇	1	1	yes	characteristic, complemented
500	C₄×#41	C₂²×C₇	1	2	yes	complemented
501	C₄×#41	C₂²×C₇	1	2	yes	complemented
502	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
503	C₂³×C₇	—	2	2	no	—
504	C₂³×C₇	—	2	4	no	—
505	C₂³×C₇	—	2	8	no	—
506	C₂³×C₇	—	4	2	no	—
507	C₂³×C₇	—	4	8	no	—
508	C₂³×C₇	—	4	4	no	—
509	C₂³×C₇	—	4	8	no	—
510	C₂³×C₇	—	4	16	no	—
511	C₂³×C₇	—	4	8	no	—
512	C₂³×C₇	—	4	4	no	—
513	C₂³×C₇	—	4	16	no	—
514	C₂³×C₇	—	4	8	no	—
515	C₂³×C₇	—	8	16	no	—
516	C₂³×C₇	C₂⁵	1	2	yes	—
517	C₂³×C₇	C₂⁵	1	4	yes	—
518	C₂³×C₇	C₂⁵	1	8	yes	—
519	C₂³×C₇	C₂⁵	1	4	yes	—
520	C₂³×C₇	C₂⁵	1	4	yes	—
521	C₂³×C₇	C₂⁵	1	1	yes	characteristic
522	C₇×Q₈	—	2	8	no	—
523	C₇×Q₈	—	2	4	no	—
524	C₇×Q₈	—	2	4	no	—
525	C₇×Q₈	—	4	4	no	—
526	C₇×Q₈	—	4	8	no	—
527	C₇×D₄	—	2	8	no	—
528	C₇×D₄	—	2	8	no	—
529	C₇×D₄	—	2	8	no	—
530	C₇×D₄	—	2	8	no	—
531	C₇×D₄	—	2	8	no	—
532	C₇×D₄	—	2	4	no	—
533	C₇×D₄	—	2	4	no	—
534	C₇×D₄	—	4	8	no	—
535	C₇×D₄	—	4	8	no	—
536	C₇×D₄	—	4	8	no	—
537	C₇×D₄	—	4	8	no	—
538	C₇×D₄	—	4	8	no	—
539	C₇×D₄	—	4	8	no	—
540	C₇×D₄	—	4	16	no	—
541	C₇×D₄	—	4	8	no	—
542	C₇×D₄	—	4	8	no	—
543	C₇×D₄	—	4	16	no	—
544	C₇×D₄	—	4	16	no	—
545	C₇×D₄	—	4	16	no	—
546	C₇×D₄	—	4	16	no	—
547	C₇×D₄	—	4	4	no	—
548	C₂×C₄×C₇	—	2	2	no	—
549	C₂×C₄×C₇	—	2	4	no	—
550	C₂×C₄×C₇	—	2	8	no	—
551	C₂×C₄×C₇	—	2	8	no	—
552	C₂×C₄×C₇	—	2	8	no	—
553	C₂×C₄×C₇	—	4	8	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	4	no	—
558	C₂×C₄×C₇	—	4	16	no	—
559	C₂×C₄×C₇	—	4	8	no	—
560	C₂×C₄×C₇	—	4	8	no	—
561	C₂×C₄×C₇	—	4	8	no	—
562	C₂×C₄×C₇	H(5,𝔽₂)	1	4	yes	—
563	C₂×C₄×C₇	C₂⁵	1	4	yes	—
564	C₂×C₄×C₇	C₂⁵	1	8	yes	—
565	C₂×C₄×C₇	C₂⁵	1	4	yes	—
566	C₂×C₄×C₇	C₂⁵	1	8	yes	—
567	C₂×C₄×C₇	C₂⁵	1	4	yes	—
568	C₂×C₄×C₇	C₂⁵	1	4	yes	—
569	C₂×C₄×C₇	C₂⁵	1	4	yes	—
570	C₂×C₄×C₇	C₂⁵	1	2	yes	—
571	C₂×C₄×C₇	C₂⁵	1	2	yes	—
572	C₂⁵	C₂³×C₇	1	2	yes	—
573	2₋¹⁺⁴	—	4	4	no	—
574	H(5,𝔽₂)	—	4	8	no	—
575	H(5,𝔽₂)	—	4	4	no	—
576	C₂×#41	—	4	4	no	—
577	C₂×#41	C₂³×C₇	1	2	yes	—
578	C₂×#41	C₂³×C₇	1	2	yes	—
579	C₂×#41	C₂³×C₇	1	4	yes	—
580	C₂×#41	C₂³×C₇	1	4	yes	—
581	C₂×#41	C₂³×C₇	1	4	yes	—
582	C₂×#41	C₂³×C₇	1	8	yes	—
583	C₂×#41	C₂³×C₇	1	4	yes	complemented
584	C₂×#41	C₂³×C₇	1	4	yes	complemented
585	C₂×#41	C₂³×C₇	1	16	yes	complemented
586	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
587	C₂²×Q₈	C₂³×C₇	1	4	yes	complemented
588	C₂²×D₄	—	4	4	no	—
589	C₂²×D₄	C₂³×C₇	1	2	yes	—
590	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
591	C₂²×D₄	C₂³×C₇	1	2	yes	—
592	C₂²×D₄	C₂³×C₇	1	8	yes	—
593	C₂²×D₄	C₂³×C₇	1	2	yes	—
594	C₂²×D₄	C₂³×C₇	1	4	yes	—
595	C₂²×D₄	C₂³×C₇	1	4	yes	—
596	C₂²×D₄	C₂³×C₇	1	4	yes	—
597	C₂²×D₄	C₂³×C₇	1	8	yes	—
598	C₂²×D₄	C₂³×C₇	1	8	yes	—
599	C₂²×D₄	C₂³×C₇	1	16	yes	—
600	C₂²×D₄	C₂³×C₇	1	4	yes	complemented
601	C₂²×D₄	C₂³×C₇	1	16	yes	complemented
602	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
603	C₂³×C₄	C₂³×C₇	1	2	yes	—
604	C₄⋊Q₈	C₂³×C₇	1	2	yes	complemented
605	C₄⋊Q₈	C₂³×C₇	1	4	yes	complemented
606	C₄⋊Q₈	C₂³×C₇	1	4	yes	complemented
607	#127	C₂³×C₇	1	4	yes	—
608	#127	C₂³×C₇	1	4	yes	—
609	#127	C₂³×C₇	1	4	yes	—
610	#127	C₂³×C₇	1	8	yes	—
611	#127	C₂³×C₇	1	4	yes	—
612	#127	C₂³×C₇	1	8	yes	—
613	#127	C₂³×C₇	1	2	yes	complemented
614	#127	C₂³×C₇	1	4	yes	complemented
615	#127	C₂³×C₇	1	16	yes	complemented
616	#126	C₂³×C₇	1	8	yes	—
617	#126	C₂³×C₇	1	8	yes	—
618	#126	C₂³×C₇	1	8	yes	complemented
619	#126	C₂³×C₇	1	16	yes	complemented
620	#126	C₂³×C₇	1	8	yes	complemented
621	#126	C₂³×C₇	1	16	yes	complemented
622	#125	C₂³×C₇	1	4	yes	complemented
623	#125	C₂³×C₇	1	8	yes	complemented
624	#125	C₂³×C₇	1	8	yes	complemented
625	#124	C₂³×C₇	1	4	yes	—
626	#124	C₂³×C₇	1	4	yes	—
627	#124	C₂³×C₇	1	8	yes	—
628	#124	C₂³×C₇	1	4	yes	—
629	#124	C₂³×C₇	1	8	yes	—
630	#124	C₂³×C₇	1	8	yes	—
631	#124	C₂³×C₇	1	4	yes	—
632	#124	C₂³×C₇	1	8	yes	—
633	#124	C₂³×C₇	1	2	yes	complemented
634	#124	C₂³×C₇	1	4	yes	complemented
635	#124	C₂³×C₇	1	16	yes	complemented
636	#124	C₂³×C₇	1	2	yes	complemented
637	#124	C₂³×C₇	1	4	yes	complemented
638	#124	C₂³×C₇	1	16	yes	complemented
639	#124	C₂³×C₇	1	16	yes	complemented
640	#123	C₂³×C₇	1	4	yes	—
641	#123	C₂³×C₇	1	8	yes	—
642	#123	C₂³×C₇	1	4	yes	—
643	#123	C₂³×C₇	1	8	yes	—
644	#123	C₂³×C₇	1	8	yes	—
645	#123	C₂³×C₇	1	8	yes	—
646	#123	C₂³×C₇	1	16	yes	—
647	#123	C₂³×C₇	1	16	yes	complemented
648	#123	C₂³×C₇	1	8	yes	complemented
649	#123	C₂³×C₇	1	16	yes	complemented
650	#123	C₂³×C₇	1	8	yes	complemented
651	#123	C₂³×C₇	1	16	yes	complemented
652	#123	C₂³×C₇	1	16	yes	complemented
653	#123	C₂³×C₇	1	16	yes	complemented
654	#123	C₂³×C₇	1	16	yes	complemented
655	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
656	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
657	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
658	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
659	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
660	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
661	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
662	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
663	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
664	#121	C₂³×C₇	1	8	yes	—
665	#121	C₂³×C₇	1	8	yes	—
666	#121	C₂³×C₇	1	16	yes	—
667	#121	C₂³×C₇	1	4	yes	—
668	#121	C₂³×C₇	1	4	yes	—
669	#121	C₂³×C₇	1	8	yes	—
670	#121	C₂³×C₇	1	8	yes	—
671	#121	C₂³×C₇	1	8	yes	—
672	#121	C₂³×C₇	1	8	yes	—
673	#121	C₂³×C₇	1	8	yes	—
674	#121	C₂³×C₇	1	16	yes	—
675	#121	C₂³×C₇	1	16	yes	—
676	#121	C₂³×C₇	1	16	yes	—
677	#121	C₂³×C₇	1	16	yes	—
678	#121	C₂³×C₇	1	8	yes	complemented
679	#121	C₂³×C₇	1	16	yes	complemented
680	#121	C₂³×C₇	1	16	yes	complemented
681	#121	C₂³×C₇	1	8	yes	complemented
682	#121	C₂³×C₇	1	16	yes	complemented
683	#121	C₂³×C₇	1	16	yes	complemented
684	#121	C₂³×C₇	1	16	yes	complemented
685	#121	C₂³×C₇	1	16	yes	complemented
686	#121	C₂³×C₇	1	16	yes	complemented
687	#121	C₂³×C₇	1	16	yes	complemented
688	#120	C₂³×C₇	1	4	yes	—
689	#120	C₂³×C₇	1	4	yes	—
690	#120	C₂³×C₇	1	8	yes	—
691	#120	C₂³×C₇	1	16	yes	—
692	#120	C₂³×C₇	1	8	yes	—
693	#120	C₂³×C₇	1	16	yes	—
694	#120	C₂³×C₇	1	8	yes	—
695	#120	C₂³×C₇	1	8	yes	—
696	#120	C₂³×C₇	1	16	yes	—
697	#120	C₂³×C₇	1	8	yes	—
698	#120	C₂³×C₇	1	8	yes	—
699	#120	C₂³×C₇	1	16	yes	—
700	#120	C₂³×C₇	1	16	yes	complemented
701	#120	C₂³×C₇	1	16	yes	complemented
702	#120	C₂³×C₇	1	16	yes	complemented
703	C₄×Q₈	C₂³×C₇	1	4	yes	complemented
704	C₄×Q₈	C₂³×C₇	1	4	yes	complemented
705	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
706	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
707	C₄×D₄	C₂³×C₇	1	8	yes	—
708	C₄×D₄	C₂³×C₇	1	8	yes	—
709	C₄×D₄	C₂³×C₇	1	8	yes	—
710	C₄×D₄	C₂³×C₇	1	8	yes	—
711	C₄×D₄	C₂³×C₇	1	8	yes	—
712	C₄×D₄	C₂³×C₇	1	8	yes	—
713	C₄×D₄	C₂³×C₇	1	4	yes	complemented
714	C₄×D₄	C₂³×C₇	1	4	yes	complemented
715	C₄×D₄	C₂³×C₇	1	8	yes	complemented
716	C₄×D₄	C₂³×C₇	1	16	yes	complemented
717	C₄×D₄	C₂³×C₇	1	8	yes	complemented
718	C₄×D₄	C₂³×C₇	1	16	yes	complemented
719	C₄×D₄	C₂³×C₇	1	16	yes	complemented
720	C₄×D₄	C₂³×C₇	1	16	yes	complemented
721	C₄×D₄	C₂³×C₇	1	16	yes	complemented
722	#117	C₂³×C₇	1	4	yes	—
723	#117	C₂³×C₇	1	4	yes	—
724	#117	C₂³×C₇	1	2	yes	—
725	#117	C₂³×C₇	1	2	yes	—
726	#117	C₂³×C₇	1	4	yes	—
727	#117	C₂³×C₇	1	4	yes	complemented
728	#117	C₂³×C₇	1	4	yes	complemented
729	#117	C₂³×C₇	1	16	yes	complemented
730	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
731	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
732	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
733	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
734	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
735	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
736	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	—
737	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	complemented
738	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	complemented
739	C₂×C₄²	C₂³×C₇	1	2	yes	—
740	C₂×C₄²	C₂³×C₇	1	4	yes	complemented
741	C₂×C₄²	C₂³×C₇	1	4	yes	complemented
742	C₂²×C₇	—	2	2	no	—
743	C₂²×C₇	—	2	2	no	—
744	C₂²×C₇	—	2	4	no	—
745	C₂²×C₇	—	2	4	no	—
746	C₂²×C₇	—	2	4	no	—
747	C₂²×C₇	—	2	8	no	—
748	C₂²×C₇	—	2	8	no	—
749	C₂²×C₇	—	2	8	no	—
750	C₂²×C₇	—	2	16	no	—
751	C₂²×C₇	—	2	8	no	—
752	C₂²×C₇	—	2	4	no	—
753	C₂²×C₇	—	4	4	no	—
754	C₂²×C₇	—	8	4	no	—
755	C₂²×C₇	—	8	8	no	—
756	C₂²×C₇	—	8	16	no	—
757	C₂²×C₇	—	16	8	no	—
758	C₂²×C₇	—	16	4	no	—
759	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
760	C₂²×C₇	C₂⁶	1	1	yes	characteristic
761	C₄×C₇	—	2	2	no	—
762	C₄×C₇	—	2	4	no	—
763	C₄×C₇	—	2	4	no	—
764	C₄×C₇	—	2	4	no	—
765	C₄×C₇	—	2	8	no	—
766	C₄×C₇	—	2	4	no	—
767	C₄×C₇	—	2	8	no	—
768	C₄×C₇	—	2	4	no	—
769	C₄×C₇	C₂×H(5,𝔽₂)	1	4	yes	—
770	C₂⁴	—	4	4	no	—
771	C₂⁴	—	8	4	no	—
772	C₂⁴	C₂⁴×C₇	1	4	yes	—
773	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
774	C₂⁴	C₂⁴×C₇	1	2	yes	—
775	C₂⁴	C₂⁴×C₇	1	8	yes	—
776	C₂⁴	C₂⁴×C₇	1	8	yes	—
777	C₂⁴	C₂⁴×C₇	1	4	yes	—
778	#41	—	2	8	no	—
779	#41	—	2	8	no	—
780	#41	—	4	8	no	—
781	#41	—	4	16	no	—
782	#41	—	4	8	no	—
783	#41	—	4	8	no	—
784	#41	—	4	8	no	—
785	#41	—	4	8	no	—
786	#41	—	8	16	no	—
787	C₂×Q₈	—	2	4	no	—
788	C₂×Q₈	—	4	8	no	—
789	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
790	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
791	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
792	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
793	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
794	C₂×D₄	—	2	8	no	—
795	C₂×D₄	—	2	4	no	—
796	C₂×D₄	—	4	16	no	—
797	C₂×D₄	—	4	8	no	—
798	C₂×D₄	—	4	8	no	—
799	C₂×D₄	—	4	8	no	—
800	C₂×D₄	—	4	4	no	—
801	C₂×D₄	—	4	4	no	—
802	C₂×D₄	—	4	8	no	—
803	C₂×D₄	—	4	16	no	—
804	C₂×D₄	—	8	8	no	—
805	C₂×D₄	—	8	16	no	—
806	C₂×D₄	—	8	16	no	—
807	C₂×D₄	C₂⁴×C₇	1	4	yes	—
808	C₂×D₄	C₂⁴×C₇	1	4	yes	—
809	C₂×D₄	C₂⁴×C₇	1	4	yes	—
810	C₂×D₄	C₂⁴×C₇	1	4	yes	—
811	C₂×D₄	C₂⁴×C₇	1	2	yes	—
812	C₂×D₄	C₂⁴×C₇	1	2	yes	—
813	C₂×D₄	C₂⁴×C₇	1	4	yes	—
814	C₂×D₄	C₂⁴×C₇	1	8	yes	—
815	C₂×D₄	C₂⁴×C₇	1	8	yes	—
816	C₂×D₄	C₂⁴×C₇	1	16	yes	—
817	C₂×D₄	C₂⁴×C₇	1	16	yes	—
818	C₂×D₄	C₂⁴×C₇	1	16	yes	—
819	C₂×D₄	C₂⁴×C₇	1	16	yes	—
820	C₂×D₄	C₂⁴×C₇	1	16	yes	—
821	C₂×D₄	C₂⁴×C₇	1	8	yes	—
822	C₂×D₄	C₂⁴×C₇	1	8	yes	—
823	C₂×D₄	C₂⁴×C₇	1	8	yes	—
824	C₂×D₄	C₂⁴×C₇	1	8	yes	—
825	C₂×D₄	C₂⁴×C₇	1	8	yes	—
826	C₂×D₄	C₂⁴×C₇	1	4	yes	—
827	C₂×D₄	C₂⁴×C₇	1	8	yes	—
828	C₂²×C₄	—	2	4	no	—
829	C₂²×C₄	—	4	4	no	—
830	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
831	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
832	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
833	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
834	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
835	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
836	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
837	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
838	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
839	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
840	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
841	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
842	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
843	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
844	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
845	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
846	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
847	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
848	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
849	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
850	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
851	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
852	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
853	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
854	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
855	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
856	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
857	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
858	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
859	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
860	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
861	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
862	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
863	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
864	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
865	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
866	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
867	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
868	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
869	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
870	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
871	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
872	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
873	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
874	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
875	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
876	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
877	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
878	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
879	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
880	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
881	C₄²	C₂⁴×C₇	1	2	yes	—
882	C₄²	C₂⁴×C₇	1	2	yes	—
883	C₄²	C₂⁴×C₇	1	4	yes	—
884	C₄²	C₂⁴×C₇	1	4	yes	—
885	C₄²	C₂⁴×C₇	1	4	yes	—
886	C₄²	C₂⁴×C₇	1	8	yes	—
887	C₄²	C₂⁴×C₇	1	8	yes	—
888	C₄²	C₂⁴×C₇	1	8	yes	—
889	C₂×C₇	—	2	2	no	—
890	C₂×C₇	—	4	2	no	—
891	C₂×C₇	—	4	8	no	—
892	C₂×C₇	—	4	4	no	—
893	C₂×C₇	—	4	4	no	—
894	C₂×C₇	—	4	4	no	—
895	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
896	C₂×C₇	H(7,𝔽₂)	1	2	yes	—
897	C₂³	—	2	2	no	—
898	C₂³	—	2	4	no	—
899	C₂³	—	2	8	no	—
900	C₂³	—	4	2	no	—
901	C₂³	—	4	8	no	—
902	C₂³	—	4	4	no	—
903	C₂³	—	4	8	no	—
904	C₂³	—	4	16	no	—
905	C₂³	—	4	8	no	—
906	C₂³	—	4	4	no	—
907	C₂³	—	4	16	no	—
908	C₂³	—	4	8	no	—
909	C₂³	—	8	16	no	—
910	C₂³	C₂⁵×C₇	1	2	yes	—
911	C₂³	C₂⁵×C₇	1	4	yes	—
912	C₂³	C₂⁵×C₇	1	8	yes	—
913	C₂³	C₂⁵×C₇	1	4	yes	—
914	C₂³	C₂⁵×C₇	1	4	yes	—
915	C₂³	C₂⁵×C₇	1	1	yes	characteristic
916	Q₈	—	2	8	no	—
917	Q₈	—	2	4	no	—
918	Q₈	—	2	4	no	—
919	Q₈	—	4	4	no	—
920	Q₈	—	4	8	no	—
921	D₄	—	2	8	no	—
922	D₄	—	2	8	no	—
923	D₄	—	2	8	no	—
924	D₄	—	2	8	no	—
925	D₄	—	2	8	no	—
926	D₄	—	2	4	no	—
927	D₄	—	2	4	no	—
928	D₄	—	4	8	no	—
929	D₄	—	4	8	no	—
930	D₄	—	4	8	no	—
931	D₄	—	4	8	no	—
932	D₄	—	4	8	no	—
933	D₄	—	4	8	no	—
934	D₄	—	4	16	no	—
935	D₄	—	4	8	no	—
936	D₄	—	4	8	no	—
937	D₄	—	4	16	no	—
938	D₄	—	4	16	no	—
939	D₄	—	4	16	no	—
940	D₄	—	4	16	no	—
941	D₄	—	4	4	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	4	no	—
944	C₂×C₄	—	2	8	no	—
945	C₂×C₄	—	2	8	no	—
946	C₂×C₄	—	2	8	no	—
947	C₂×C₄	—	4	8	no	—
948	C₂×C₄	—	4	4	no	—
949	C₂×C₄	—	4	8	no	—
950	C₂×C₄	—	4	8	no	—
951	C₂×C₄	—	4	4	no	—
952	C₂×C₄	—	4	16	no	—
953	C₂×C₄	—	4	8	no	—
954	C₂×C₄	—	4	8	no	—
955	C₂×C₄	—	4	8	no	—
956	C₂×C₄	C₇×H(5,𝔽₂)	1	4	yes	—
957	C₂×C₄	C₂⁵×C₇	1	4	yes	—
958	C₂×C₄	C₂⁵×C₇	1	8	yes	—
959	C₂×C₄	C₂⁵×C₇	1	4	yes	—
960	C₂×C₄	C₂⁵×C₇	1	8	yes	—
961	C₂×C₄	C₂⁵×C₇	1	4	yes	—
962	C₂×C₄	C₂⁵×C₇	1	4	yes	—
963	C₂×C₄	C₂⁵×C₇	1	4	yes	—
964	C₂×C₄	C₂⁵×C₇	1	2	yes	—
965	C₂×C₄	C₂⁵×C₇	1	2	yes	—
966	C₇	#62876	1	1	yes	characteristic, direct product factor, Sylow
967	C₂²	—	2	2	no	—
968	C₂²	—	2	2	no	—
969	C₂²	—	2	4	no	—
970	C₂²	—	2	4	no	—
971	C₂²	—	2	4	no	—
972	C₂²	—	2	8	no	—
973	C₂²	—	2	8	no	—
974	C₂²	—	2	8	no	—
975	C₂²	—	2	16	no	—
976	C₂²	—	2	8	no	—
977	C₂²	—	2	4	no	—
978	C₂²	—	4	4	no	—
979	C₂²	—	8	8	no	—
980	C₂²	—	8	4	no	—
981	C₂²	—	8	16	no	—
982	C₂²	—	16	8	no	—
983	C₂²	—	16	4	no	—
984	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
985	C₂²	C₂⁶×C₇	1	1	yes	characteristic
986	C₄	—	2	2	no	—
987	C₄	—	2	4	no	—
988	C₄	—	2	4	no	—
989	C₄	—	2	4	no	—
990	C₄	—	2	8	no	—
991	C₄	—	2	4	no	—
992	C₄	—	2	8	no	—
993	C₄	—	2	4	no	—
994	C₄	C₂×C₇×H(5,𝔽₂)	1	4	yes	—
995	C₂	—	2	2	no	—
996	C₂	—	4	2	no	—
997	C₂	—	4	8	no	—
998	C₂	—	4	4	no	—
999	C₂	—	4	4	no	—
1000	C₂	—	4	4	no	—
1001	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1002	C₂	C₇×H(7,𝔽₂)	1	2	yes	—

	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×#3562	C₂	semidirect
2. C₇×#3558	C₂	semidirect
3. C₇×#3546	C₂	semidirect
4. C₇×#3543	C₂	semidirect
5. C₇×#3534	C₂	semidirect
6. C₇×#3532	C₂	semidirect
7. C₇×#3510	C₂	semidirect
8. C₇×#3508	C₂	semidirect
9. C₇×#3500	C₂	semidirect
10. C₇×#3498	C₂	semidirect
11. C₇×#3487	C₂	semidirect
12. C₇×#3485	C₂	semidirect
13. C₇×#3484	C₂	semidirect
14. C₇×#3455	C₂	semidirect
15. C₂×C₇×#535	C₂	semidirect
16. C₂×C₇×2₋¹⁺⁴	C₂²	semidirect
17. C₂×C₇×H(5,𝔽₂)	C₂²	semidirect
18. C₂×C₇×H(5,𝔽₂)	C₂²	semidirect
19. C₂²×C₇×#41	C₂²	semidirect
20. C₂³×C₇×D₄	C₂²	semidirect
21. C₇×#562	C₂²	semidirect
22. C₇×H(3,𝔽₄)	C₂²	semidirect
23. C₇×#560	C₂²	semidirect
24. C₇×#560	C₂²	semidirect
25. C₇×#560	C₂²	semidirect
26. C₇×#559	C₂²	semidirect
27. C₇×#559	C₂²	semidirect
28. C₇×#556	C₂²	semidirect
29. C₇×#553	C₂²	semidirect
30. C₇×#551	C₂²	semidirect
31. C₇×#551	C₂²	semidirect
32. C₇×#550	C₂²	semidirect
33. C₇×#550	C₂²	semidirect
34. C₇×#550	C₂²	semidirect
35. C₇×#548	C₂²	semidirect
36. C₇×#548	C₂²	semidirect
37. C₇×#547	C₂²	semidirect
38. C₇×#546	C₂²	semidirect
39. C₇×#546	C₂²	semidirect
40. C₇×#546	C₂²	semidirect
41. C₇×#546	C₂²	semidirect
42. C₇×#546	C₂²	semidirect
43. C₇×#546	C₂²	semidirect
44. C₇×#546	C₂²	semidirect
45. C₇×#546	C₂²	semidirect
46. C₇×D₄²	C₂²	semidirect
47. C₇×D₄²	C₂²	semidirect
48. C₇×D₄²	C₂²	semidirect
49. C₇×D₄²	C₂²	semidirect
50. C₇×D₄²	C₂²	semidirect
51. C₇×#542	C₂²	semidirect
52. C₇×#542	C₂²	semidirect
53. C₇×#542	C₂²	semidirect
54. C₇×#541	C₂²	semidirect
55. C₇×#540	C₂²	semidirect
56. C₇×#540	C₂²	semidirect
57. C₇×#540	C₂²	semidirect
58. C₇×#539	C₂²	semidirect
59. C₇×#539	C₂²	semidirect
60. C₇×#538	C₂²	semidirect
61. C₇×#538	C₂²	semidirect
62. C₇×#538	C₂²	semidirect
63. C₇×#538	C₂²	semidirect
64. C₇×#538	C₂²	semidirect
65. C₇×#537	C₂²	semidirect
66. C₇×#536	C₂²	semidirect
67. C₇×#536	C₂²	semidirect
69. C₇×#535	C₂²	semidirect
70. C₇×#535	C₂²	semidirect
71. C₇×#535	C₂²	semidirect
72. C₇×#535	C₂²	semidirect
73. C₇×#535	C₂²	semidirect
74. C₇×#535	C₂²	semidirect
75. C₇×#535	C₂²	semidirect
76. C₇×#535	C₂²	semidirect
77. C₇×#535	C₂²	semidirect
78. C₇×#534	C₂²	semidirect
79. C₇×#534	C₂²	semidirect
80. C₇×#534	C₂²	semidirect
81. C₇×#534	C₂²	semidirect
82. C₇×#533	C₂²	semidirect
83. C₇×#532	C₂²	semidirect
84. C₇×#532	C₂²	semidirect
85. C₇×#532	C₂²	semidirect
86. C₇×#532	C₂²	semidirect
87. C₂×C₇×#127	C₂²	semidirect
88. C₂×C₇×#127	C₂²	semidirect
89. C₇×#529	C₂²	semidirect
90. C₇×#529	C₂²	semidirect
91. C₇×#529	C₂²	semidirect
92. C₂×C₇×#124	C₂²	semidirect
93. C₂×C₇×#124	C₂²	semidirect
94. C₇×#525	C₂²	semidirect
95. C₇×#525	C₂²	semidirect
96. C₇×#525	C₂²	semidirect
97. C₂×C₇×#123	C₂²	semidirect
98. C₂×C₇×#121	C₂²	semidirect
99. C₂×C₇×#120	C₂²	semidirect
100. C₂×C₇×#120	C₂²	semidirect
101. C₇×#519	C₂²	semidirect
102. C₇×#518	C₂²	semidirect
103. C₇×#518	C₂²	semidirect
104. C₄×C₇×#41	C₂²	semidirect
105. C₄×C₇×#41	C₂²	semidirect
106. C₂×C₇×#117	C₂²	semidirect
107. #62876	C₇	direct (N × H)
119. C₂×C₇×#41	C₂³	semidirect
120. C₂×C₇×#41	C₂³	semidirect
121. C₂×C₇×#41	C₂³	semidirect
123. C₂²×C₇×Q₈	C₂³	semidirect
136. C₂²×C₇×D₄	C₂³	semidirect
137. C₂²×C₇×D₄	C₂³	semidirect
140. C₇×C₄⋊Q₈	C₂³	semidirect
141. C₇×C₄⋊Q₈	C₂³	semidirect
142. C₇×C₄⋊Q₈	C₂³	semidirect
149. C₇×#127	C₂³	semidirect
150. C₇×#127	C₂³	semidirect
151. C₇×#127	C₂³	semidirect
154. C₇×#126	C₂³	semidirect
155. C₇×#126	C₂³	semidirect
156. C₇×#126	C₂³	semidirect
157. C₇×#126	C₂³	semidirect
158. C₇×#125	C₂³	semidirect
159. C₇×#125	C₂³	semidirect
160. C₇×#125	C₂³	semidirect
169. C₇×#124	C₂³	semidirect
170. C₇×#124	C₂³	semidirect
171. C₇×#124	C₂³	semidirect
172. C₇×#124	C₂³	semidirect
173. C₇×#124	C₂³	semidirect
174. C₇×#124	C₂³	semidirect
175. C₇×#124	C₂³	semidirect
183. C₇×#123	C₂³	semidirect
184. C₇×#123	C₂³	semidirect
185. C₇×#123	C₂³	semidirect
186. C₇×#123	C₂³	semidirect
187. C₇×#123	C₂³	semidirect
188. C₇×#123	C₂³	semidirect
189. C₇×#123	C₂³	semidirect
190. C₇×#123	C₂³	semidirect
194. C₇×C₂²⋊Q₈	C₂³	semidirect
195. C₇×C₂²⋊Q₈	C₂³	semidirect
196. C₇×C₂²⋊Q₈	C₂³	semidirect
197. C₇×C₂²⋊Q₈	C₂³	semidirect
198. C₇×C₂²⋊Q₈	C₂³	semidirect
199. C₇×C₂²⋊Q₈	C₂³	semidirect
214. C₇×#121	C₂³	semidirect
215. C₇×#121	C₂³	semidirect
216. C₇×#121	C₂³	semidirect
217. C₇×#121	C₂³	semidirect
218. C₇×#121	C₂³	semidirect
219. C₇×#121	C₂³	semidirect
220. C₇×#121	C₂³	semidirect
221. C₇×#121	C₂³	semidirect
222. C₇×#121	C₂³	semidirect
223. C₇×#121	C₂³	semidirect
236. C₇×#120	C₂³	semidirect
237. C₇×#120	C₂³	semidirect
238. C₇×#120	C₂³	semidirect
239. C₄×C₇×Q₈	C₂³	semidirect
240. C₄×C₇×Q₈	C₂³	semidirect
241. C₄×C₇×Q₈	C₂³	semidirect
242. C₄×C₇×Q₈	C₂³	semidirect
249. C₄×C₇×D₄	C₂³	semidirect
250. C₄×C₇×D₄	C₂³	semidirect
251. C₄×C₇×D₄	C₂³	semidirect
252. C₄×C₇×D₄	C₂³	semidirect
253. C₄×C₇×D₄	C₂³	semidirect
254. C₄×C₇×D₄	C₂³	semidirect
255. C₄×C₇×D₄	C₂³	semidirect
256. C₄×C₇×D₄	C₂³	semidirect
257. C₄×C₇×D₄	C₂³	semidirect
263. C₇×#117	C₂³	semidirect
264. C₇×#117	C₂³	semidirect
265. C₇×#117	C₂³	semidirect
267. C₂×C₇×C₄⋊C₄	C₂³	semidirect
273. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
274. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
276. C₂×C₄²×C₇	C₂³	semidirect
277. C₂×C₄²×C₇	C₂³	semidirect
278. #3562	C₂×C₇	semidirect
279. #3558	C₂×C₇	semidirect
280. #3546	C₂×C₇	semidirect
281. #3543	C₂×C₇	semidirect
282. #3534	C₂×C₇	semidirect
283. #3532	C₂×C₇	semidirect
284. #3510	C₂×C₇	semidirect
285. #3508	C₂×C₇	semidirect
286. #3500	C₂×C₇	semidirect
287. #3498	C₂×C₇	semidirect
288. #3487	C₂×C₇	semidirect
289. #3485	C₂×C₇	semidirect
290. #3484	C₂×C₇	semidirect
291. #3455	C₂×C₇	semidirect
292. C₂×#535	C₂×C₇	semidirect
412. C₂×2₋¹⁺⁴	C₂²×C₇	semidirect
413. C₂×H(5,𝔽₂)	C₂²×C₇	semidirect
414. C₂×H(5,𝔽₂)	C₂²×C₇	semidirect
415. C₂²×#41	C₂²×C₇	semidirect
416. C₂³×D₄	C₂²×C₇	semidirect
417. #562	C₂²×C₇	semidirect
418. H(3,𝔽₄)	C₂²×C₇	semidirect
419. #560	C₂²×C₇	semidirect
420. #560	C₂²×C₇	semidirect
421. #560	C₂²×C₇	semidirect
422. #559	C₂²×C₇	semidirect
423. #559	C₂²×C₇	semidirect
424. #556	C₂²×C₇	semidirect
425. #553	C₂²×C₇	semidirect
426. #551	C₂²×C₇	semidirect
427. #551	C₂²×C₇	semidirect
428. #550	C₂²×C₇	semidirect
429. #550	C₂²×C₇	semidirect
430. #550	C₂²×C₇	semidirect
431. #548	C₂²×C₇	semidirect
432. #548	C₂²×C₇	semidirect
433. #547	C₂²×C₇	semidirect
434. #546	C₂²×C₇	semidirect
435. #546	C₂²×C₇	semidirect
436. #546	C₂²×C₇	semidirect
437. #546	C₂²×C₇	semidirect
438. #546	C₂²×C₇	semidirect
439. #546	C₂²×C₇	semidirect
440. #546	C₂²×C₇	semidirect
441. #546	C₂²×C₇	semidirect
442. D₄²	C₂²×C₇	semidirect
443. D₄²	C₂²×C₇	semidirect
444. D₄²	C₂²×C₇	semidirect
445. D₄²	C₂²×C₇	semidirect
446. D₄²	C₂²×C₇	semidirect
447. #542	C₂²×C₇	semidirect
448. #542	C₂²×C₇	semidirect
449. #542	C₂²×C₇	semidirect
450. #541	C₂²×C₇	semidirect
451. #540	C₂²×C₇	semidirect
452. #540	C₂²×C₇	semidirect
453. #540	C₂²×C₇	semidirect
454. #539	C₂²×C₇	semidirect
455. #539	C₂²×C₇	semidirect
456. #538	C₂²×C₇	semidirect
457. #538	C₂²×C₇	semidirect
458. #538	C₂²×C₇	semidirect
459. #538	C₂²×C₇	semidirect
460. #538	C₂²×C₇	semidirect
461. #537	C₂²×C₇	semidirect
462. #536	C₂²×C₇	semidirect
463. #536	C₂²×C₇	semidirect
465. #535	C₂²×C₇	semidirect
466. #535	C₂²×C₇	semidirect
467. #535	C₂²×C₇	semidirect
468. #535	C₂²×C₇	semidirect
469. #535	C₂²×C₇	semidirect
470. #535	C₂²×C₇	semidirect
471. #535	C₂²×C₇	semidirect
472. #535	C₂²×C₇	semidirect
473. #535	C₂²×C₇	semidirect
474. #534	C₂²×C₇	semidirect
475. #534	C₂²×C₇	semidirect
476. #534	C₂²×C₇	semidirect
477. #534	C₂²×C₇	semidirect
478. #533	C₂²×C₇	semidirect
479. #532	C₂²×C₇	semidirect
480. #532	C₂²×C₇	semidirect
481. #532	C₂²×C₇	semidirect
482. #532	C₂²×C₇	semidirect
483. C₂×#127	C₂²×C₇	semidirect
484. C₂×#127	C₂²×C₇	semidirect
485. #529	C₂²×C₇	semidirect
486. #529	C₂²×C₇	semidirect
487. #529	C₂²×C₇	semidirect
488. C₂×#124	C₂²×C₇	semidirect
489. C₂×#124	C₂²×C₇	semidirect
490. #525	C₂²×C₇	semidirect
491. #525	C₂²×C₇	semidirect
492. #525	C₂²×C₇	semidirect
493. C₂×#123	C₂²×C₇	semidirect
494. C₂×#121	C₂²×C₇	semidirect
495. C₂×#120	C₂²×C₇	semidirect
496. C₂×#120	C₂²×C₇	semidirect
497. #519	C₂²×C₇	semidirect
498. #518	C₂²×C₇	semidirect
499. #518	C₂²×C₇	semidirect
500. C₄×#41	C₂²×C₇	semidirect
501. C₄×#41	C₂²×C₇	semidirect
502. C₂×#117	C₂²×C₇	semidirect
583. C₂×#41	C₂³×C₇	semidirect
584. C₂×#41	C₂³×C₇	semidirect
585. C₂×#41	C₂³×C₇	semidirect
587. C₂²×Q₈	C₂³×C₇	semidirect
600. C₂²×D₄	C₂³×C₇	semidirect
601. C₂²×D₄	C₂³×C₇	semidirect
604. C₄⋊Q₈	C₂³×C₇	semidirect
605. C₄⋊Q₈	C₂³×C₇	semidirect
606. C₄⋊Q₈	C₂³×C₇	semidirect
613. #127	C₂³×C₇	semidirect
614. #127	C₂³×C₇	semidirect
615. #127	C₂³×C₇	semidirect
618. #126	C₂³×C₇	semidirect
619. #126	C₂³×C₇	semidirect
620. #126	C₂³×C₇	semidirect
621. #126	C₂³×C₇	semidirect
622. #125	C₂³×C₇	semidirect
623. #125	C₂³×C₇	semidirect
624. #125	C₂³×C₇	semidirect
633. #124	C₂³×C₇	semidirect
634. #124	C₂³×C₇	semidirect
635. #124	C₂³×C₇	semidirect
636. #124	C₂³×C₇	semidirect
637. #124	C₂³×C₇	semidirect
638. #124	C₂³×C₇	semidirect
639. #124	C₂³×C₇	semidirect
647. #123	C₂³×C₇	semidirect
648. #123	C₂³×C₇	semidirect
649. #123	C₂³×C₇	semidirect
650. #123	C₂³×C₇	semidirect
651. #123	C₂³×C₇	semidirect
652. #123	C₂³×C₇	semidirect
653. #123	C₂³×C₇	semidirect
654. #123	C₂³×C₇	semidirect
658. C₂²⋊Q₈	C₂³×C₇	semidirect
659. C₂²⋊Q₈	C₂³×C₇	semidirect
660. C₂²⋊Q₈	C₂³×C₇	semidirect
661. C₂²⋊Q₈	C₂³×C₇	semidirect
662. C₂²⋊Q₈	C₂³×C₇	semidirect
663. C₂²⋊Q₈	C₂³×C₇	semidirect
678. #121	C₂³×C₇	semidirect
679. #121	C₂³×C₇	semidirect
680. #121	C₂³×C₇	semidirect
681. #121	C₂³×C₇	semidirect
682. #121	C₂³×C₇	semidirect
683. #121	C₂³×C₇	semidirect
684. #121	C₂³×C₇	semidirect
685. #121	C₂³×C₇	semidirect
686. #121	C₂³×C₇	semidirect
687. #121	C₂³×C₇	semidirect
700. #120	C₂³×C₇	semidirect
701. #120	C₂³×C₇	semidirect
702. #120	C₂³×C₇	semidirect
703. C₄×Q₈	C₂³×C₇	semidirect
704. C₄×Q₈	C₂³×C₇	semidirect
705. C₄×Q₈	C₂³×C₇	semidirect
706. C₄×Q₈	C₂³×C₇	semidirect
713. C₄×D₄	C₂³×C₇	semidirect
714. C₄×D₄	C₂³×C₇	semidirect
715. C₄×D₄	C₂³×C₇	semidirect
716. C₄×D₄	C₂³×C₇	semidirect
717. C₄×D₄	C₂³×C₇	semidirect
718. C₄×D₄	C₂³×C₇	semidirect
719. C₄×D₄	C₂³×C₇	semidirect
720. C₄×D₄	C₂³×C₇	semidirect
721. C₄×D₄	C₂³×C₇	semidirect
727. #117	C₂³×C₇	semidirect
728. #117	C₂³×C₇	semidirect
729. #117	C₂³×C₇	semidirect
731. C₂×C₄⋊C₄	C₂³×C₇	semidirect
737. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
738. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
740. C₂×C₄²	C₂³×C₇	semidirect
741. C₂×C₄²	C₂³×C₇	semidirect
966. C₇	#62876	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×#3562	2
C₇×#3558	2
C₇×#3546	2
C₇×#3543	2
C₇×#3534	2
C₇×#3532	2
C₇×#3510	2
C₇×#3508	2
C₇×#3500	2
C₇×#3498	2
C₇×#3487	2
C₇×#3485	2
C₇×#3484	2
C₇×#3455	2
C₂×C₇×#535	2
#62876	7

Subgroups — C7×#62876 #13240092

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62876 #13240092