Subgroups — C₇×#62805 #13240021

Order 1792.

7104 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×#3523	C₂	1	2	yes	maximal, complemented
2	C₇×#3520	C₂	1	6	yes	maximal, complemented
3	C₇×#3518	C₂	1	2	yes	maximal, complemented
4	C₇×#3515	C₂	1	6	yes	maximal, complemented
5	C₇×#3511	C₂	1	3	yes	maximal, complemented
6	C₇×#3509	C₂	1	3	yes	maximal, complemented
7	C₇×#3503	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3499	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3495	C₂	1	6	yes	maximal, complemented
10	C₇×#3489	C₂	1	2	yes	maximal, complemented
11	C₇×#3482	C₂	1	6	yes	maximal, complemented
12	C₇×#3482	C₂	1	2	yes	maximal, complemented
13	C₇×Q₈×#41	C₂	1	2	yes	maximal, complemented
14	C₇×#3475	C₂	1	6	yes	maximal, complemented
15	C₇×#3461	C₂	1	6	yes	maximal, complemented
16	C₇×#3444	C₂	1	3	yes	maximal, complemented
17	C₂×C₇×#533	C₂	1	3	yes	maximal, complemented
18	C₄×C₇×2₋¹⁺⁴	C₂	1	2	yes	maximal, complemented
19	C₂×C₄×C₇×#41	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₇×2₋¹⁺⁴	C₂²	1	2	yes	—
21	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
22	C₇×Q₈²	C₂²	1	2	yes	complemented
23	C₇×#557	C₂²	1	6	yes	complemented
24	C₇×#557	C₂²	1	2	yes	complemented
25	C₇×#557	C₂²	1	6	yes	complemented
26	C₇×#556	C₂²	1	6	yes	complemented
27	C₇×#556	C₂²	1	12	yes	complemented
28	C₇×#556	C₂²	1	6	yes	complemented
29	C₇×#556	C₂²	1	6	yes	complemented
30	C₇×#555	C₂²	1	6	yes	complemented
31	C₇×#554	C₂²	1	12	yes	—
32	C₇×#554	C₂²	1	6	yes	complemented
33	C₇×#554	C₂²	1	6	yes	complemented
34	C₇×#553	C₂²	1	12	yes	complemented
35	C₇×#552	C₂²	1	12	yes	—
36	C₇×#552	C₂²	1	12	yes	complemented
37	C₇×#552	C₂²	1	12	yes	complemented
38	C₇×#552	C₂²	1	24	yes	complemented
39	C₇×#552	C₂²	1	12	yes	complemented
40	C₇×#551	C₂²	1	24	yes	—
41	C₇×D₄×Q₈	C₂²	1	4	yes	—
42	C₇×D₄×Q₈	C₂²	1	2	yes	complemented
43	C₇×D₄×Q₈	C₂²	1	2	yes	complemented
44	C₇×D₄×Q₈	C₂²	1	6	yes	complemented
45	C₇×#548	C₂²	1	4	yes	—
46	C₇×#548	C₂²	1	12	yes	complemented
47	C₇×#547	C₂²	1	12	yes	—
48	C₇×#547	C₂²	1	6	yes	complemented
49	C₇×#547	C₂²	1	6	yes	complemented
50	C₇×#547	C₂²	1	6	yes	complemented
51	C₇×#546	C₂²	1	12	yes	—
52	C₇×#544	C₂²	1	6	yes	complemented
53	C₇×#542	C₂²	1	12	yes	complemented
54	C₇×#542	C₂²	1	12	yes	complemented
55	C₇×#541	C₂²	1	12	yes	complemented
56	C₇×#541	C₂²	1	12	yes	complemented
57	C₇×#539	C₂²	1	24	yes	complemented
58	C₇×#537	C₂²	1	6	yes	—
59	C₇×#536	C₂²	1	6	yes	—
60	C₇×#536	C₂²	1	6	yes	complemented
61	C₇×#533	C₂²	1	3	yes	—
62	C₇×#533	C₂²	1	6	yes	—
63	C₇×#533	C₂²	1	6	yes	—
64	C₇×#533	C₂²	1	6	yes	—
65	C₇×#533	C₂²	1	6	yes	complemented
66	C₇×#533	C₂²	1	6	yes	complemented
67	C₇×#533	C₂²	1	6	yes	complemented
68	C₇×#533	C₂²	1	6	yes	complemented
69	C₇×#533	C₂²	1	3	yes	complemented
70	C₇×#533	C₂²	1	3	yes	complemented
71	C₇×#533	C₂²	1	12	yes	complemented
72	C₇×#532	C₂²	1	1	yes	characteristic
73	C₇×#532	C₂²	1	3	yes	complemented
74	C₇×#532	C₂²	1	3	yes	complemented
75	C₂×C₇×C₄⋊Q₈	C₂²	1	3	yes	complemented
76	C₂×C₇×C₄⋊Q₈	C₂²	1	3	yes	complemented
77	C₇×#529	C₂²	1	6	yes	—
78	C₇×#529	C₂²	1	6	yes	—
79	C₇×#529	C₂²	1	6	yes	complemented
80	C₇×#529	C₂²	1	6	yes	complemented
81	C₇×#529	C₂²	1	6	yes	complemented
82	C₇×#529	C₂²	1	6	yes	complemented
83	C₇×#529	C₂²	1	24	yes	complemented
84	C₇×#529	C₂²	1	12	yes	complemented
85	C₂×C₇×#125	C₂²	1	6	yes	complemented
86	C₇×#525	C₂²	1	6	yes	—
87	C₇×#525	C₂²	1	6	yes	—
88	C₇×#525	C₂²	1	6	yes	—
89	C₂×C₇×C₂²⋊Q₈	C₂²	1	6	yes	—
90	C₂×C₇×C₂²⋊Q₈	C₂²	1	6	yes	—
91	C₇×#520	C₂²	1	2	yes	—
92	C₇×#520	C₂²	1	6	yes	complemented
93	C₇×#520	C₂²	1	12	yes	complemented
94	C₇×#519	C₂²	1	6	yes	complemented
95	C₇×#519	C₂²	1	4	yes	complemented
96	C₄×C₇×#41	C₂²	1	1	yes	characteristic
97	C₄×C₇×#41	C₂²	1	3	yes	—
98	C₄×C₇×#41	C₂²	1	3	yes	—
99	C₄×C₇×#41	C₂²	1	1	yes	characteristic
100	C₄×C₇×#41	C₂²	1	1	yes	characteristic
101	C₄×C₇×#41	C₂²	1	3	yes	—
102	C₄×C₇×#41	C₂²	1	3	yes	—
103	C₄×C₇×#41	C₂²	1	1	yes	characteristic
104	C₄×C₇×#41	C₂²	1	6	yes	—
105	C₄×C₇×#41	C₂²	1	6	yes	complemented
106	C₄×C₇×#41	C₂²	1	12	yes	complemented
107	C₄×C₇×#41	C₂²	1	6	yes	complemented
108	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
109	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
110	C₂×C₄×C₇×Q₈	C₂²	1	6	yes	complemented
111	C₂×C₄×C₇×Q₈	C₂²	1	4	yes	complemented
112	C₂×C₄×C₇×Q₈	C₂²	1	6	yes	complemented
113	C₂×C₄×C₇×D₄	C₂²	1	3	yes	—
114	C₂×C₄×C₇×D₄	C₂²	1	3	yes	—
115	C₂×C₇×#117	C₂²	1	3	yes	—
116	C₂×C₇×#117	C₂²	1	6	yes	—
117	C₂²×C₄²×C₇	C₂²	1	3	yes	—
118	#62805	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
119	C₇×2₋¹⁺⁴	—	2	16	no	—
120	C₂×C₇×#41	—	2	8	no	—
121	C₂×C₇×#41	C₂³	1	3	yes	—
122	C₂×C₇×#41	C₂³	1	3	yes	—
123	C₂×C₇×#41	C₂³	1	1	yes	characteristic
124	C₂×C₇×#41	C₂³	1	6	yes	—
125	C₂×C₇×#41	C₂³	1	12	yes	—
126	C₂×C₇×#41	C₂³	1	2	yes	—
127	C₂×C₇×#41	C₂³	1	6	yes	—
128	C₂×C₇×#41	C₂³	1	1	yes	characteristic
129	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
130	C₂²×C₇×Q₈	C₂³	1	6	yes	—
131	C₂²×C₇×Q₈	C₂³	1	4	yes	—
132	C₂²×C₇×Q₈	C₂³	1	6	yes	—
133	C₂²×C₇×D₄	C₂³	1	3	yes	—
134	C₂³×C₄×C₇	C₂³	1	3	yes	—
135	C₂³×C₄×C₇	C₂³	1	3	yes	—
136	C₂³×C₄×C₇	C₂³	1	3	yes	—
137	C₇×C₄⋊Q₈	C₂³	1	3	yes	—
138	C₇×C₄⋊Q₈	C₂³	1	3	yes	—
139	C₇×C₄⋊Q₈	C₂³	1	6	yes	—
140	C₇×C₄⋊Q₈	C₂³	1	6	yes	—
141	C₇×C₄⋊Q₈	C₂³	1	6	yes	—
142	C₇×C₄⋊Q₈	C₂³	1	6	yes	—
143	C₇×C₄⋊Q₈	C₂³	1	6	yes	—
144	C₇×C₄⋊Q₈	C₂³	1	6	yes	—
145	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
146	C₇×C₄⋊Q₈	C₂³	1	12	yes	—
147	C₇×C₄⋊Q₈	C₂³	1	12	yes	—
148	C₇×#127	C₂³	1	1	yes	characteristic
149	C₇×#126	C₂³	1	12	yes	—
150	C₇×#126	C₂³	1	12	yes	—
151	C₇×#126	C₂³	1	24	yes	—
152	C₇×#126	C₂³	1	24	yes	—
153	C₇×#126	C₂³	1	24	yes	—
154	C₇×#125	C₂³	1	6	yes	—
155	C₇×#125	C₂³	1	12	yes	—
156	C₇×#125	C₂³	1	12	yes	—
157	C₇×#125	C₂³	1	12	yes	—
158	C₇×#125	C₂³	1	6	yes	—
159	C₇×#125	C₂³	1	6	yes	—
160	C₇×#125	C₂³	1	24	yes	—
161	C₇×#125	C₂³	1	12	yes	—
162	C₇×#125	C₂³	1	24	yes	—
163	C₇×#124	C₂³	1	6	yes	—
164	C₇×#124	C₂³	1	6	yes	—
165	C₇×#124	C₂³	1	2	yes	—
166	C₇×#124	C₂³	1	12	yes	—
167	C₇×#124	C₂³	1	24	yes	—
168	C₇×#123	C₂³	1	12	yes	—
169	C₇×#123	C₂³	1	12	yes	—
170	C₇×#123	C₂³	1	12	yes	—
171	C₇×#123	C₂³	1	24	yes	—
172	C₇×#123	C₂³	1	24	yes	—
173	C₇×#123	C₂³	1	24	yes	—
174	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
175	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
176	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
177	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
178	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
179	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
180	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
181	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
182	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
183	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
184	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
185	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
186	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
187	C₇×C₂²⋊Q₈	C₂³	1	24	yes	—
188	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
189	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
190	C₇×C₂²⋊Q₈	C₂³	1	24	yes	—
191	C₇×#121	C₂³	1	2	yes	—
192	C₇×#121	C₂³	1	2	yes	—
193	C₇×#121	C₂³	1	6	yes	—
194	C₇×#121	C₂³	1	6	yes	—
195	C₇×#121	C₂³	1	6	yes	—
196	C₇×#121	C₂³	1	6	yes	—
197	C₇×#121	C₂³	1	24	yes	—
198	C₇×#121	C₂³	1	12	yes	—
199	C₇×#120	C₂³	1	12	yes	—
200	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
201	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
202	C₄×C₇×Q₈	C₂³	1	3	yes	—
203	C₄×C₇×Q₈	C₂³	1	3	yes	—
204	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
205	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
206	C₄×C₇×Q₈	C₂³	1	3	yes	—
207	C₄×C₇×Q₈	C₂³	1	3	yes	—
208	C₄×C₇×Q₈	C₂³	1	6	yes	—
209	C₄×C₇×Q₈	C₂³	1	12	yes	—
210	C₄×C₇×Q₈	C₂³	1	6	yes	—
211	C₄×C₇×Q₈	C₂³	1	4	yes	—
212	C₄×C₇×Q₈	C₂³	1	12	yes	—
213	C₄×C₇×Q₈	C₂³	1	12	yes	—
214	C₄×C₇×Q₈	C₂³	1	12	yes	—
215	C₄×C₇×Q₈	C₂³	1	12	yes	—
216	C₄×C₇×Q₈	C₂³	1	12	yes	—
217	C₄×C₇×Q₈	C₂³	1	12	yes	—
218	C₄×C₇×Q₈	C₂³	1	6	yes	—
219	C₄×C₇×Q₈	C₂³	1	6	yes	—
220	C₄×C₇×Q₈	C₂³	1	6	yes	—
221	C₄×C₇×Q₈	C₂³	1	12	yes	—
222	C₄×C₇×Q₈	C₂³	1	6	yes	—
223	C₄×C₇×D₄	C₂³	1	3	yes	—
224	C₄×C₇×D₄	C₂³	1	3	yes	—
225	C₄×C₇×D₄	C₂³	1	3	yes	—
226	C₄×C₇×D₄	C₂³	1	6	yes	—
227	C₄×C₇×D₄	C₂³	1	6	yes	—
228	C₄×C₇×D₄	C₂³	1	3	yes	—
229	C₄×C₇×D₄	C₂³	1	3	yes	—
230	C₄×C₇×D₄	C₂³	1	3	yes	—
231	C₄×C₇×D₄	C₂³	1	3	yes	—
232	C₄×C₇×D₄	C₂³	1	6	yes	—
233	C₄×C₇×D₄	C₂³	1	6	yes	—
234	C₄×C₇×D₄	C₂³	1	3	yes	—
235	C₄×C₇×D₄	C₂³	1	12	yes	—
236	C₄×C₇×D₄	C₂³	1	12	yes	—
237	C₄×C₇×D₄	C₂³	1	6	yes	—
238	C₄×C₇×D₄	C₂³	1	6	yes	—
239	C₄×C₇×D₄	C₂³	1	12	yes	—
240	C₄×C₇×D₄	C₂³	1	2	yes	—
241	C₄×C₇×D₄	C₂³	1	2	yes	—
242	C₄×C₇×D₄	C₂³	1	12	yes	—
243	C₄×C₇×D₄	C₂³	1	12	yes	—
244	C₄×C₇×D₄	C₂³	1	6	yes	—
245	C₄×C₇×D₄	C₂³	1	24	yes	—
246	C₄×C₇×D₄	C₂³	1	12	yes	—
247	C₄×C₇×D₄	C₂³	1	12	yes	—
248	C₄×C₇×D₄	C₂³	1	6	yes	—
249	C₇×#117	C₂³	1	6	yes	—
250	C₇×#117	C₂³	1	3	yes	—
251	C₇×#117	C₂³	1	3	yes	—
252	C₇×#117	C₂³	1	6	yes	—
253	C₇×#117	C₂³	1	3	yes	—
254	C₇×#117	C₂³	1	6	yes	—
255	C₇×#117	C₂³	1	3	yes	—
256	C₇×#117	C₂³	1	12	yes	—
257	C₇×#117	C₂³	1	12	yes	—
258	C₇×#117	C₂³	1	12	yes	—
259	C₇×#117	C₂³	1	12	yes	—
260	C₇×#117	C₂³	1	6	yes	—
261	C₇×#117	C₂³	1	12	yes	—
262	C₇×#117	C₂³	1	24	yes	—
263	C₇×#117	C₂³	1	12	yes	—
264	C₇×#117	C₂³	1	6	yes	—
265	C₇×#117	C₂³	1	12	yes	—
266	C₂×C₇×C₄⋊C₄	C₂³	1	3	yes	—
267	C₂×C₇×C₄⋊C₄	C₂³	1	3	yes	—
268	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	—
269	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	—
270	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	—
271	C₂×C₇×C₄⋊C₄	C₂³	1	12	yes	—
272	C₂×C₇×C₄⋊C₄	C₂³	1	12	yes	—
273	C₂×C₇×C₄⋊C₄	C₂³	1	12	yes	—
274	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	—
275	C₂×C₇×C₂²⋊C₄	C₂³	1	6	yes	—
276	C₂×C₇×C₂²⋊C₄	C₂³	1	12	yes	—
277	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
278	C₂×C₄²×C₇	C₂³	1	3	yes	—
279	C₂×C₄²×C₇	C₂³	1	3	yes	—
280	C₂×C₄²×C₇	C₂³	1	3	yes	—
281	C₂×C₄²×C₇	C₂³	1	3	yes	—
282	C₂×C₄²×C₇	C₂³	1	3	yes	—
283	C₂×C₄²×C₇	C₂³	1	3	yes	—
284	C₂×C₄²×C₇	C₂³	1	3	yes	—
285	C₂×C₄²×C₇	C₂³	1	3	yes	—
286	C₂×C₄²×C₇	C₂³	1	3	yes	—
287	C₂×C₄²×C₇	C₂³	1	3	yes	—
288	C₂×C₄²×C₇	C₂³	1	3	yes	—
289	C₂×C₄²×C₇	C₂³	1	12	yes	—
290	C₂×C₄²×C₇	C₂³	1	12	yes	—
291	#3523	C₂×C₇	1	2	yes	complemented
292	#3520	C₂×C₇	1	6	yes	complemented
293	#3518	C₂×C₇	1	2	yes	complemented
294	#3515	C₂×C₇	1	6	yes	complemented
295	#3511	C₂×C₇	1	3	yes	complemented
296	#3509	C₂×C₇	1	3	yes	complemented
297	#3503	C₂×C₇	1	1	yes	characteristic, complemented
298	#3499	C₂×C₇	1	1	yes	characteristic, complemented
299	#3495	C₂×C₇	1	6	yes	complemented
300	#3489	C₂×C₇	1	2	yes	complemented
301	#3482	C₂×C₇	1	6	yes	complemented
302	#3482	C₂×C₇	1	2	yes	complemented
303	Q₈×#41	C₂×C₇	1	2	yes	complemented
304	#3475	C₂×C₇	1	6	yes	complemented
305	#3461	C₂×C₇	1	6	yes	complemented
306	#3444	C₂×C₇	1	3	yes	complemented
307	C₂×#533	C₂×C₇	1	3	yes	complemented
308	C₄×2₋¹⁺⁴	C₂×C₇	1	2	yes	complemented
309	C₂×C₄×#41	C₂×C₇	1	1	yes	characteristic, complemented
310	C₂⁴×C₇	C₂⁴	1	3	yes	—
311	C₇×#41	—	2	4	no	—
312	C₇×#41	—	2	12	no	—
313	C₇×#41	—	2	48	no	—
314	C₇×#41	—	2	12	no	—
315	C₇×#41	—	2	24	no	—
316	C₇×#41	—	2	8	no	—
317	C₇×#41	—	4	12	no	—
318	C₇×#41	#41	1	8	yes	complemented
319	C₂×C₇×Q₈	—	2	4	no	—
320	C₂×C₇×Q₈	—	2	16	no	—
321	C₂×C₇×Q₈	—	2	24	no	—
322	C₂×C₇×Q₈	—	4	12	no	—
323	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
324	C₂×C₇×Q₈	C₂⁴	1	6	yes	—
325	C₂×C₇×Q₈	C₂⁴	1	12	yes	—
326	C₂×C₇×Q₈	C₂⁴	1	6	yes	—
327	C₂×C₇×Q₈	C₂⁴	1	3	yes	—
328	C₂×C₇×Q₈	C₂⁴	1	12	yes	—
329	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
330	C₂×C₇×D₄	—	2	12	no	—
331	C₂×C₇×D₄	C₂⁴	1	4	yes	—
332	C₂×C₇×D₄	C₂⁴	1	2	yes	—
333	C₂×C₇×D₄	C₂⁴	1	12	yes	—
334	C₂×C₇×D₄	C₂⁴	1	6	yes	—
335	C₂×C₇×D₄	C₂⁴	1	3	yes	—
336	C₂×C₇×D₄	C₂⁴	1	2	yes	—
337	C₂×C₇×D₄	C₂⁴	1	2	yes	—
338	C₂×C₇×D₄	C₂⁴	1	12	yes	—
339	C₂×C₇×D₄	C₂⁴	1	3	yes	—
340	C₂²×C₄×C₇	—	2	12	no	—
341	C₂²×C₄×C₇	—	2	12	no	—
342	C₂²×C₄×C₇	—	4	6	no	—
343	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
346	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
347	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
348	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
349	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
350	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
351	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
352	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
353	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
354	C₂²×C₄×C₇	C₂⁴	1	12	yes	—
355	C₂²×C₄×C₇	C₂⁴	1	12	yes	—
356	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
357	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
358	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
359	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
360	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
361	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
362	C₂²×C₄×C₇	C₂⁴	1	12	yes	—
363	C₂²×C₄×C₇	C₂⁴	1	12	yes	—
364	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
365	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
366	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
367	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
368	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
369	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
370	C₇×C₄⋊C₄	C₂⁴	1	12	yes	—
371	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
372	C₇×C₄⋊C₄	C₂⁴	1	12	yes	—
373	C₇×C₄⋊C₄	C₂⁴	1	24	yes	—
374	C₇×C₄⋊C₄	C₂⁴	1	12	yes	—
375	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
376	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
377	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
378	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
379	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
380	C₇×C₄⋊C₄	C₂⁴	1	12	yes	—
381	C₇×C₄⋊C₄	C₂⁴	1	12	yes	—
382	C₇×C₄⋊C₄	C₂⁴	1	24	yes	—
383	C₇×C₄⋊C₄	C₂⁴	1	12	yes	—
384	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
385	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
386	C₇×C₄⋊C₄	C₂⁴	1	12	yes	—
387	C₇×C₄⋊C₄	C₂⁴	1	12	yes	—
388	C₇×C₄⋊C₄	C₂⁴	1	12	yes	—
389	C₇×C₄⋊C₄	C₂⁴	1	12	yes	—
390	C₇×C₂²⋊C₄	C₂⁴	1	12	yes	—
391	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
392	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
393	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
394	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
395	C₇×C₂²⋊C₄	C₂⁴	1	24	yes	—
396	C₇×C₂²⋊C₄	C₂⁴	1	12	yes	—
397	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
398	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
399	C₇×C₂²⋊C₄	C₂⁴	1	12	yes	—
400	C₇×C₂²⋊C₄	C₂⁴	1	12	yes	—
401	C₇×C₂²⋊C₄	C₂⁴	1	12	yes	—
402	C₇×C₂²⋊C₄	C₂⁴	1	12	yes	—
403	C₇×C₂²⋊C₄	C₂⁴	1	12	yes	—
404	C₄²×C₇	C₂⁴	1	1	yes	characteristic
405	C₄²×C₇	C₂⁴	1	1	yes	characteristic
406	C₄²×C₇	C₂⁴	1	3	yes	—
407	C₄²×C₇	C₂⁴	1	3	yes	—
408	C₄²×C₇	C₂⁴	1	3	yes	—
409	C₄²×C₇	C₂⁴	1	3	yes	—
410	C₄²×C₇	C₂⁴	1	3	yes	—
411	C₄²×C₇	C₂⁴	1	3	yes	—
412	C₄²×C₇	C₂⁴	1	3	yes	—
413	C₄²×C₇	C₂⁴	1	3	yes	—
414	C₄²×C₇	C₂⁴	1	3	yes	—
415	C₄²×C₇	C₂⁴	1	3	yes	—
416	C₄²×C₇	C₂⁴	1	12	yes	—
417	C₄²×C₇	C₂⁴	1	24	yes	—
418	C₄²×C₇	C₂⁴	1	12	yes	—
419	C₄²×C₇	C₂⁴	1	1	yes	characteristic
420	C₄²×C₇	C₂⁴	1	3	yes	—
421	C₄²×C₇	C₂⁴	1	1	yes	characteristic
422	C₄²×C₇	C₂⁴	1	3	yes	—
423	C₄²×C₇	C₂⁴	1	12	yes	—
424	C₂×2₋¹⁺⁴	C₂²×C₇	1	2	yes	—
425	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
426	Q₈²	C₂²×C₇	1	2	yes	complemented
427	#557	C₂²×C₇	1	6	yes	complemented
428	#557	C₂²×C₇	1	2	yes	complemented
429	#557	C₂²×C₇	1	6	yes	complemented
430	#556	C₂²×C₇	1	6	yes	complemented
431	#556	C₂²×C₇	1	12	yes	complemented
432	#556	C₂²×C₇	1	6	yes	complemented
433	#556	C₂²×C₇	1	6	yes	complemented
434	#555	C₂²×C₇	1	6	yes	complemented
435	#554	C₂²×C₇	1	12	yes	—
436	#554	C₂²×C₇	1	6	yes	complemented
437	#554	C₂²×C₇	1	6	yes	complemented
438	#553	C₂²×C₇	1	12	yes	complemented
439	#552	C₂²×C₇	1	12	yes	—
440	#552	C₂²×C₇	1	12	yes	complemented
441	#552	C₂²×C₇	1	12	yes	complemented
442	#552	C₂²×C₇	1	24	yes	complemented
443	#552	C₂²×C₇	1	12	yes	complemented
444	#551	C₂²×C₇	1	24	yes	—
445	D₄×Q₈	C₂²×C₇	1	4	yes	—
446	D₄×Q₈	C₂²×C₇	1	2	yes	complemented
447	D₄×Q₈	C₂²×C₇	1	2	yes	complemented
448	D₄×Q₈	C₂²×C₇	1	6	yes	complemented
449	#548	C₂²×C₇	1	4	yes	—
450	#548	C₂²×C₇	1	12	yes	complemented
451	#547	C₂²×C₇	1	12	yes	—
452	#547	C₂²×C₇	1	6	yes	complemented
453	#547	C₂²×C₇	1	6	yes	complemented
454	#547	C₂²×C₇	1	6	yes	complemented
455	#546	C₂²×C₇	1	12	yes	—
456	#544	C₂²×C₇	1	6	yes	complemented
457	#542	C₂²×C₇	1	12	yes	complemented
458	#542	C₂²×C₇	1	12	yes	complemented
459	#541	C₂²×C₇	1	12	yes	complemented
460	#541	C₂²×C₇	1	12	yes	complemented
461	#539	C₂²×C₇	1	24	yes	complemented
462	#537	C₂²×C₇	1	6	yes	—
463	#536	C₂²×C₇	1	6	yes	—
464	#536	C₂²×C₇	1	6	yes	complemented
465	#533	C₂²×C₇	1	3	yes	—
466	#533	C₂²×C₇	1	6	yes	—
467	#533	C₂²×C₇	1	6	yes	—
468	#533	C₂²×C₇	1	6	yes	—
469	#533	C₂²×C₇	1	6	yes	complemented
470	#533	C₂²×C₇	1	6	yes	complemented
471	#533	C₂²×C₇	1	6	yes	complemented
472	#533	C₂²×C₇	1	6	yes	complemented
473	#533	C₂²×C₇	1	3	yes	complemented
474	#533	C₂²×C₇	1	3	yes	complemented
475	#533	C₂²×C₇	1	12	yes	complemented
476	#532	C₂²×C₇	1	1	yes	characteristic
477	#532	C₂²×C₇	1	3	yes	complemented
478	#532	C₂²×C₇	1	3	yes	complemented
479	C₂×C₄⋊Q₈	C₂²×C₇	1	3	yes	complemented
480	C₂×C₄⋊Q₈	C₂²×C₇	1	3	yes	complemented
481	#529	C₂²×C₇	1	6	yes	—
482	#529	C₂²×C₇	1	6	yes	—
483	#529	C₂²×C₇	1	6	yes	complemented
484	#529	C₂²×C₇	1	6	yes	complemented
485	#529	C₂²×C₇	1	6	yes	complemented
486	#529	C₂²×C₇	1	6	yes	complemented
487	#529	C₂²×C₇	1	24	yes	complemented
488	#529	C₂²×C₇	1	12	yes	complemented
489	C₂×#125	C₂²×C₇	1	6	yes	complemented
490	#525	C₂²×C₇	1	6	yes	—
491	#525	C₂²×C₇	1	6	yes	—
492	#525	C₂²×C₇	1	6	yes	—
493	C₂×C₂²⋊Q₈	C₂²×C₇	1	6	yes	—
494	C₂×C₂²⋊Q₈	C₂²×C₇	1	6	yes	—
495	#520	C₂²×C₇	1	2	yes	—
496	#520	C₂²×C₇	1	6	yes	complemented
497	#520	C₂²×C₇	1	12	yes	complemented
498	#519	C₂²×C₇	1	6	yes	complemented
499	#519	C₂²×C₇	1	4	yes	complemented
500	C₄×#41	C₂²×C₇	1	1	yes	characteristic
501	C₄×#41	C₂²×C₇	1	3	yes	—
502	C₄×#41	C₂²×C₇	1	3	yes	—
503	C₄×#41	C₂²×C₇	1	1	yes	characteristic
504	C₄×#41	C₂²×C₇	1	1	yes	characteristic
505	C₄×#41	C₂²×C₇	1	3	yes	—
506	C₄×#41	C₂²×C₇	1	3	yes	—
507	C₄×#41	C₂²×C₇	1	1	yes	characteristic
508	C₄×#41	C₂²×C₇	1	6	yes	—
509	C₄×#41	C₂²×C₇	1	6	yes	complemented
510	C₄×#41	C₂²×C₇	1	12	yes	complemented
511	C₄×#41	C₂²×C₇	1	6	yes	complemented
512	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
513	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
514	C₂×C₄×Q₈	C₂²×C₇	1	6	yes	complemented
515	C₂×C₄×Q₈	C₂²×C₇	1	4	yes	complemented
516	C₂×C₄×Q₈	C₂²×C₇	1	6	yes	complemented
517	C₂×C₄×D₄	C₂²×C₇	1	3	yes	—
518	C₂×C₄×D₄	C₂²×C₇	1	3	yes	—
519	C₂×#117	C₂²×C₇	1	3	yes	—
520	C₂×#117	C₂²×C₇	1	6	yes	—
521	C₂²×C₄²	C₂²×C₇	1	3	yes	—
522	C₂³×C₇	—	2	6	no	—
523	C₂³×C₇	—	2	6	no	—
524	C₂³×C₇	—	4	3	no	—
525	C₂³×C₇	C₂⁵	1	3	yes	—
526	C₂³×C₇	C₂⁵	1	4	yes	—
527	C₂³×C₇	C₂⁵	1	3	yes	—
528	C₂³×C₇	C₂⁵	1	1	yes	characteristic
529	C₇×Q₈	—	2	24	no	—
530	C₇×Q₈	—	2	12	no	—
531	C₇×Q₈	—	2	6	no	—
532	C₇×Q₈	—	2	4	no	—
533	C₇×Q₈	—	2	12	no	—
534	C₇×Q₈	—	4	12	no	—
535	C₇×Q₈	C₂×#41	1	4	yes	—
536	C₇×D₄	—	2	12	no	—
537	C₇×D₄	—	2	24	no	—
538	C₇×D₄	—	2	8	no	—
539	C₇×D₄	—	2	6	no	—
540	C₇×D₄	—	2	4	no	—
541	C₇×D₄	—	2	4	no	—
542	C₇×D₄	—	2	4	no	—
543	C₇×D₄	—	4	12	no	—
544	C₇×D₄	C₂×#41	1	12	yes	—
545	C₂×C₄×C₇	—	2	6	no	—
546	C₂×C₄×C₇	—	2	24	no	—
547	C₂×C₄×C₇	—	2	6	no	—
548	C₂×C₄×C₇	—	2	2	no	—
549	C₂×C₄×C₇	—	2	6	no	—
550	C₂×C₄×C₇	—	2	6	no	—
551	C₂×C₄×C₇	—	2	6	no	—
552	C₂×C₄×C₇	—	2	24	no	—
553	C₂×C₄×C₇	—	2	6	no	—
554	C₂×C₄×C₇	—	2	6	no	—
555	C₂×C₄×C₇	—	2	6	no	—
556	C₂×C₄×C₇	—	2	6	no	—
557	C₂×C₄×C₇	—	2	8	no	—
558	C₂×C₄×C₇	—	2	2	no	—
559	C₂×C₄×C₇	—	2	6	no	—
560	C₂×C₄×C₇	—	2	6	no	—
561	C₂×C₄×C₇	—	4	3	no	—
562	C₂×C₄×C₇	—	4	3	no	—
563	C₂×C₄×C₇	—	4	3	no	—
564	C₂×C₄×C₇	—	4	12	no	—
565	C₂×C₄×C₇	—	4	12	no	—
566	C₂×C₄×C₇	C₂×#41	1	12	yes	—
567	C₂×C₄×C₇	2₋¹⁺⁴	1	4	yes	complemented
568	C₂×C₄×C₇	C₂⁵	1	3	yes	—
569	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
570	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
571	C₂×C₄×C₇	C₂⁵	1	3	yes	—
572	C₂×C₄×C₇	C₂⁵	1	4	yes	—
573	C₂×C₄×C₇	C₂⁵	1	3	yes	—
574	C₂×C₄×C₇	C₂⁵	1	3	yes	—
575	C₂×C₄×C₇	C₂⁵	1	12	yes	—
576	C₂×C₄×C₇	C₂⁵	1	12	yes	—
577	C₂×C₄×C₇	C₂⁵	1	3	yes	—
578	C₂×C₄×C₇	C₂⁵	1	3	yes	—
579	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
580	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
581	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
582	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
583	2₋¹⁺⁴	—	2	16	no	—
584	C₂×#41	—	2	8	no	—
585	C₂×#41	C₂³×C₇	1	2	yes	—
586	C₂×#41	C₂³×C₇	1	3	yes	—
587	C₂×#41	C₂³×C₇	1	3	yes	—
588	C₂×#41	C₂³×C₇	1	1	yes	characteristic
589	C₂×#41	C₂³×C₇	1	6	yes	—
590	C₂×#41	C₂³×C₇	1	12	yes	—
591	C₂×#41	C₂³×C₇	1	6	yes	—
592	C₂×#41	C₂³×C₇	1	1	yes	characteristic
593	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
594	C₂²×Q₈	C₂³×C₇	1	6	yes	—
595	C₂²×Q₈	C₂³×C₇	1	4	yes	—
596	C₂²×Q₈	C₂³×C₇	1	6	yes	—
597	C₂²×D₄	C₂³×C₇	1	3	yes	—
598	C₂³×C₄	C₂³×C₇	1	3	yes	—
599	C₂³×C₄	C₂³×C₇	1	3	yes	—
600	C₂³×C₄	C₂³×C₇	1	3	yes	—
601	C₄⋊Q₈	C₂³×C₇	1	3	yes	—
602	C₄⋊Q₈	C₂³×C₇	1	3	yes	—
603	C₄⋊Q₈	C₂³×C₇	1	6	yes	—
604	C₄⋊Q₈	C₂³×C₇	1	6	yes	—
605	C₄⋊Q₈	C₂³×C₇	1	6	yes	—
606	C₄⋊Q₈	C₂³×C₇	1	6	yes	—
607	C₄⋊Q₈	C₂³×C₇	1	6	yes	—
608	C₄⋊Q₈	C₂³×C₇	1	6	yes	—
609	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
610	C₄⋊Q₈	C₂³×C₇	1	12	yes	—
611	C₄⋊Q₈	C₂³×C₇	1	12	yes	—
612	#127	C₂³×C₇	1	1	yes	characteristic
613	#126	C₂³×C₇	1	12	yes	—
614	#126	C₂³×C₇	1	12	yes	—
615	#126	C₂³×C₇	1	24	yes	—
616	#126	C₂³×C₇	1	24	yes	—
617	#126	C₂³×C₇	1	24	yes	—
618	#125	C₂³×C₇	1	6	yes	—
619	#125	C₂³×C₇	1	12	yes	—
620	#125	C₂³×C₇	1	12	yes	—
621	#125	C₂³×C₇	1	12	yes	—
622	#125	C₂³×C₇	1	6	yes	—
623	#125	C₂³×C₇	1	6	yes	—
624	#125	C₂³×C₇	1	24	yes	—
625	#125	C₂³×C₇	1	12	yes	—
626	#125	C₂³×C₇	1	24	yes	—
627	#124	C₂³×C₇	1	6	yes	—
628	#124	C₂³×C₇	1	6	yes	—
629	#124	C₂³×C₇	1	2	yes	—
630	#124	C₂³×C₇	1	12	yes	—
631	#124	C₂³×C₇	1	24	yes	—
632	#123	C₂³×C₇	1	12	yes	—
633	#123	C₂³×C₇	1	12	yes	—
634	#123	C₂³×C₇	1	12	yes	—
635	#123	C₂³×C₇	1	24	yes	—
636	#123	C₂³×C₇	1	24	yes	—
637	#123	C₂³×C₇	1	24	yes	—
638	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
639	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
640	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
641	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
642	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
643	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
644	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
645	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
646	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
647	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
648	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
649	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
650	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
651	C₂²⋊Q₈	C₂³×C₇	1	24	yes	—
652	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
653	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
654	C₂²⋊Q₈	C₂³×C₇	1	24	yes	—
655	#121	C₂³×C₇	1	2	yes	—
656	#121	C₂³×C₇	1	2	yes	—
657	#121	C₂³×C₇	1	6	yes	—
658	#121	C₂³×C₇	1	6	yes	—
659	#121	C₂³×C₇	1	6	yes	—
660	#121	C₂³×C₇	1	6	yes	—
661	#121	C₂³×C₇	1	24	yes	—
662	#121	C₂³×C₇	1	12	yes	—
663	#120	C₂³×C₇	1	12	yes	—
664	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
665	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
666	C₄×Q₈	C₂³×C₇	1	3	yes	—
667	C₄×Q₈	C₂³×C₇	1	3	yes	—
668	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
669	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
670	C₄×Q₈	C₂³×C₇	1	3	yes	—
671	C₄×Q₈	C₂³×C₇	1	3	yes	—
672	C₄×Q₈	C₂³×C₇	1	6	yes	—
673	C₄×Q₈	C₂³×C₇	1	12	yes	—
674	C₄×Q₈	C₂³×C₇	1	6	yes	—
675	C₄×Q₈	C₂³×C₇	1	4	yes	—
676	C₄×Q₈	C₂³×C₇	1	12	yes	—
677	C₄×Q₈	C₂³×C₇	1	12	yes	—
678	C₄×Q₈	C₂³×C₇	1	12	yes	—
679	C₄×Q₈	C₂³×C₇	1	12	yes	—
680	C₄×Q₈	C₂³×C₇	1	12	yes	—
681	C₄×Q₈	C₂³×C₇	1	12	yes	—
682	C₄×Q₈	C₂³×C₇	1	6	yes	—
683	C₄×Q₈	C₂³×C₇	1	6	yes	—
684	C₄×Q₈	C₂³×C₇	1	6	yes	—
685	C₄×Q₈	C₂³×C₇	1	12	yes	—
686	C₄×Q₈	C₂³×C₇	1	6	yes	—
687	C₄×D₄	C₂³×C₇	1	3	yes	—
688	C₄×D₄	C₂³×C₇	1	3	yes	—
689	C₄×D₄	C₂³×C₇	1	3	yes	—
690	C₄×D₄	C₂³×C₇	1	6	yes	—
691	C₄×D₄	C₂³×C₇	1	6	yes	—
692	C₄×D₄	C₂³×C₇	1	3	yes	—
693	C₄×D₄	C₂³×C₇	1	3	yes	—
694	C₄×D₄	C₂³×C₇	1	3	yes	—
695	C₄×D₄	C₂³×C₇	1	3	yes	—
696	C₄×D₄	C₂³×C₇	1	6	yes	—
697	C₄×D₄	C₂³×C₇	1	6	yes	—
698	C₄×D₄	C₂³×C₇	1	3	yes	—
699	C₄×D₄	C₂³×C₇	1	12	yes	—
700	C₄×D₄	C₂³×C₇	1	12	yes	—
701	C₄×D₄	C₂³×C₇	1	6	yes	—
702	C₄×D₄	C₂³×C₇	1	6	yes	—
703	C₄×D₄	C₂³×C₇	1	12	yes	—
704	C₄×D₄	C₂³×C₇	1	2	yes	—
705	C₄×D₄	C₂³×C₇	1	2	yes	—
706	C₄×D₄	C₂³×C₇	1	12	yes	—
707	C₄×D₄	C₂³×C₇	1	12	yes	—
708	C₄×D₄	C₂³×C₇	1	6	yes	—
709	C₄×D₄	C₂³×C₇	1	24	yes	—
710	C₄×D₄	C₂³×C₇	1	12	yes	—
711	C₄×D₄	C₂³×C₇	1	12	yes	—
712	C₄×D₄	C₂³×C₇	1	6	yes	—
713	#117	C₂³×C₇	1	6	yes	—
714	#117	C₂³×C₇	1	3	yes	—
715	#117	C₂³×C₇	1	3	yes	—
716	#117	C₂³×C₇	1	6	yes	—
717	#117	C₂³×C₇	1	3	yes	—
718	#117	C₂³×C₇	1	6	yes	—
719	#117	C₂³×C₇	1	3	yes	—
720	#117	C₂³×C₇	1	12	yes	—
721	#117	C₂³×C₇	1	12	yes	—
722	#117	C₂³×C₇	1	12	yes	—
723	#117	C₂³×C₇	1	12	yes	—
724	#117	C₂³×C₇	1	6	yes	—
725	#117	C₂³×C₇	1	12	yes	—
726	#117	C₂³×C₇	1	24	yes	—
727	#117	C₂³×C₇	1	12	yes	—
728	#117	C₂³×C₇	1	6	yes	—
729	#117	C₂³×C₇	1	12	yes	—
730	C₂×C₄⋊C₄	C₂³×C₇	1	3	yes	—
731	C₂×C₄⋊C₄	C₂³×C₇	1	3	yes	—
732	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	—
733	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	—
734	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	—
735	C₂×C₄⋊C₄	C₂³×C₇	1	12	yes	—
736	C₂×C₄⋊C₄	C₂³×C₇	1	12	yes	—
737	C₂×C₄⋊C₄	C₂³×C₇	1	12	yes	—
738	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	—
739	C₂×C₂²⋊C₄	C₂³×C₇	1	6	yes	—
740	C₂×C₂²⋊C₄	C₂³×C₇	1	12	yes	—
741	C₂×C₄²	C₂³×C₇	1	3	yes	—
742	C₂×C₄²	C₂³×C₇	1	12	yes	—
743	C₂×C₄²	C₂³×C₇	1	3	yes	—
744	C₂×C₄²	C₂³×C₇	1	3	yes	—
745	C₂×C₄²	C₂³×C₇	1	3	yes	—
746	C₂×C₄²	C₂³×C₇	1	3	yes	—
747	C₂×C₄²	C₂³×C₇	1	12	yes	—
748	C₂×C₄²	C₂³×C₇	1	3	yes	—
749	C₂×C₄²	C₂³×C₇	1	3	yes	—
750	C₂×C₄²	C₂³×C₇	1	3	yes	—
751	C₂×C₄²	C₂³×C₇	1	3	yes	—
752	C₂×C₄²	C₂³×C₇	1	3	yes	—
753	C₂×C₄²	C₂³×C₇	1	3	yes	—
754	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
755	C₂²×C₇	—	2	1	no	—
756	C₂²×C₇	—	2	3	no	—
757	C₂²×C₇	—	2	3	no	—
758	C₂²×C₇	—	2	1	no	—
759	C₂²×C₇	—	2	4	no	—
760	C₂²×C₇	—	2	3	no	—
761	C₂²×C₇	—	2	3	no	—
762	C₂²×C₇	—	2	4	no	—
763	C₂²×C₇	—	2	3	no	—
764	C₂²×C₇	—	2	4	no	—
765	C₂²×C₇	—	4	12	no	—
766	C₂²×C₇	C₂²×#41	1	6	yes	—
767	C₂²×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
768	C₂²×C₇	C₂⁶	1	1	yes	characteristic
769	C₄×C₇	—	2	1	no	—
770	C₄×C₇	—	2	3	no	—
771	C₄×C₇	—	2	12	no	—
772	C₄×C₇	—	2	3	no	—
773	C₄×C₇	—	2	3	no	—
774	C₄×C₇	—	2	4	no	—
775	C₄×C₇	—	2	1	no	—
776	C₄×C₇	—	2	3	no	—
777	C₄×C₇	—	2	3	no	—
778	C₄×C₇	—	2	12	no	—
779	C₄×C₇	C₂²×#41	1	6	yes	—
780	C₄×C₇	C₂²×#41	1	2	yes	—
781	C₄×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
782	C₄×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
783	C₄×C₇	#585	1	2	yes	—
784	C₂⁴	C₂⁴×C₇	1	3	yes	—
785	#41	—	2	4	no	—
786	#41	—	2	12	no	—
787	#41	—	2	48	no	—
788	#41	—	2	12	no	—
789	#41	—	2	24	no	—
790	#41	—	2	8	no	—
791	#41	—	4	12	no	—
792	#41	C₇×#41	1	8	yes	complemented
793	C₂×Q₈	—	2	4	no	—
794	C₂×Q₈	—	2	16	no	—
795	C₂×Q₈	—	2	24	no	—
796	C₂×Q₈	—	4	12	no	—
797	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
798	C₂×Q₈	C₂⁴×C₇	1	6	yes	—
799	C₂×Q₈	C₂⁴×C₇	1	12	yes	—
800	C₂×Q₈	C₂⁴×C₇	1	6	yes	—
801	C₂×Q₈	C₂⁴×C₇	1	3	yes	—
802	C₂×Q₈	C₂⁴×C₇	1	12	yes	—
803	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
804	C₂×D₄	—	2	12	no	—
805	C₂×D₄	C₂⁴×C₇	1	4	yes	—
806	C₂×D₄	C₂⁴×C₇	1	2	yes	—
807	C₂×D₄	C₂⁴×C₇	1	12	yes	—
808	C₂×D₄	C₂⁴×C₇	1	6	yes	—
809	C₂×D₄	C₂⁴×C₇	1	3	yes	—
810	C₂×D₄	C₂⁴×C₇	1	2	yes	—
811	C₂×D₄	C₂⁴×C₇	1	2	yes	—
812	C₂×D₄	C₂⁴×C₇	1	12	yes	—
813	C₂×D₄	C₂⁴×C₇	1	3	yes	—
814	C₂²×C₄	—	2	12	no	—
815	C₂²×C₄	—	2	12	no	—
816	C₂²×C₄	—	4	6	no	—
817	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
818	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
819	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
820	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
821	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
822	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
823	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
824	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
825	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
826	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
827	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
828	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
829	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
830	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
831	C₂²×C₄	C₂⁴×C₇	1	12	yes	—
832	C₂²×C₄	C₂⁴×C₇	1	12	yes	—
833	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
834	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
835	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
836	C₂²×C₄	C₂⁴×C₇	1	12	yes	—
837	C₂²×C₄	C₂⁴×C₇	1	12	yes	—
838	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
839	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
840	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
841	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
842	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
843	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
844	C₄⋊C₄	C₂⁴×C₇	1	12	yes	—
845	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
846	C₄⋊C₄	C₂⁴×C₇	1	12	yes	—
847	C₄⋊C₄	C₂⁴×C₇	1	24	yes	—
848	C₄⋊C₄	C₂⁴×C₇	1	12	yes	—
849	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
850	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
851	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
852	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
853	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
854	C₄⋊C₄	C₂⁴×C₇	1	12	yes	—
855	C₄⋊C₄	C₂⁴×C₇	1	12	yes	—
856	C₄⋊C₄	C₂⁴×C₇	1	24	yes	—
857	C₄⋊C₄	C₂⁴×C₇	1	12	yes	—
858	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
859	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
860	C₄⋊C₄	C₂⁴×C₇	1	12	yes	—
861	C₄⋊C₄	C₂⁴×C₇	1	12	yes	—
862	C₄⋊C₄	C₂⁴×C₇	1	12	yes	—
863	C₄⋊C₄	C₂⁴×C₇	1	12	yes	—
864	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
865	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
866	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
867	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
868	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
869	C₂²⋊C₄	C₂⁴×C₇	1	24	yes	—
870	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
871	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
872	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
873	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
874	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
875	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
876	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
877	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
878	C₄²	C₂⁴×C₇	1	3	yes	—
879	C₄²	C₂⁴×C₇	1	1	yes	characteristic
880	C₄²	C₂⁴×C₇	1	1	yes	characteristic
881	C₄²	C₂⁴×C₇	1	1	yes	characteristic
882	C₄²	C₂⁴×C₇	1	1	yes	characteristic
883	C₄²	C₂⁴×C₇	1	3	yes	—
884	C₄²	C₂⁴×C₇	1	3	yes	—
885	C₄²	C₂⁴×C₇	1	3	yes	—
886	C₄²	C₂⁴×C₇	1	3	yes	—
887	C₄²	C₂⁴×C₇	1	12	yes	—
888	C₄²	C₂⁴×C₇	1	3	yes	—
889	C₄²	C₂⁴×C₇	1	3	yes	—
890	C₄²	C₂⁴×C₇	1	3	yes	—
891	C₄²	C₂⁴×C₇	1	3	yes	—
892	C₄²	C₂⁴×C₇	1	3	yes	—
893	C₄²	C₂⁴×C₇	1	3	yes	—
894	C₄²	C₂⁴×C₇	1	3	yes	—
895	C₄²	C₂⁴×C₇	1	12	yes	—
896	C₄²	C₂⁴×C₇	1	24	yes	—
897	C₄²	C₂⁴×C₇	1	12	yes	—
898	C₂×C₇	—	2	2	no	—
899	C₂×C₇	—	2	6	no	—
900	C₂×C₇	—	4	4	no	—
901	C₂×C₇	—	4	3	no	—
902	C₂×C₇	C₂³×#41	1	1	yes	characteristic
903	C₂×C₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
904	C₂×C₇	C₂×#585	1	1	yes	characteristic
905	C₂³	—	2	6	no	—
906	C₂³	—	2	6	no	—
907	C₂³	—	4	3	no	—
908	C₂³	C₂⁵×C₇	1	3	yes	—
909	C₂³	C₂⁵×C₇	1	4	yes	—
910	C₂³	C₂⁵×C₇	1	3	yes	—
911	C₂³	C₂⁵×C₇	1	1	yes	characteristic
912	Q₈	—	2	24	no	—
913	Q₈	—	2	12	no	—
914	Q₈	—	2	6	no	—
915	Q₈	—	2	4	no	—
916	Q₈	—	2	12	no	—
917	Q₈	—	4	12	no	—
918	Q₈	C₂×C₇×#41	1	4	yes	—
919	D₄	—	2	12	no	—
920	D₄	—	2	24	no	—
921	D₄	—	2	8	no	—
922	D₄	—	2	6	no	—
923	D₄	—	2	4	no	—
924	D₄	—	2	4	no	—
925	D₄	—	2	4	no	—
926	D₄	—	4	12	no	—
927	D₄	C₂×C₇×#41	1	12	yes	—
928	C₂×C₄	—	2	6	no	—
929	C₂×C₄	—	2	24	no	—
930	C₂×C₄	—	2	6	no	—
931	C₂×C₄	—	2	2	no	—
932	C₂×C₄	—	2	6	no	—
933	C₂×C₄	—	2	6	no	—
934	C₂×C₄	—	2	6	no	—
935	C₂×C₄	—	2	24	no	—
936	C₂×C₄	—	2	6	no	—
937	C₂×C₄	—	2	6	no	—
938	C₂×C₄	—	2	6	no	—
939	C₂×C₄	—	2	6	no	—
940	C₂×C₄	—	2	8	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	6	no	—
943	C₂×C₄	—	2	6	no	—
944	C₂×C₄	—	4	3	no	—
945	C₂×C₄	—	4	3	no	—
946	C₂×C₄	—	4	3	no	—
947	C₂×C₄	—	4	12	no	—
948	C₂×C₄	—	4	12	no	—
949	C₂×C₄	C₂×C₇×#41	1	12	yes	—
950	C₂×C₄	C₇×2₋¹⁺⁴	1	4	yes	complemented
951	C₂×C₄	C₂⁵×C₇	1	3	yes	—
952	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
953	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
954	C₂×C₄	C₂⁵×C₇	1	3	yes	—
955	C₂×C₄	C₂⁵×C₇	1	4	yes	—
956	C₂×C₄	C₂⁵×C₇	1	3	yes	—
957	C₂×C₄	C₂⁵×C₇	1	3	yes	—
958	C₂×C₄	C₂⁵×C₇	1	12	yes	—
959	C₂×C₄	C₂⁵×C₇	1	12	yes	—
960	C₂×C₄	C₂⁵×C₇	1	3	yes	—
961	C₂×C₄	C₂⁵×C₇	1	3	yes	—
962	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
963	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
964	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
965	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
966	C₇	#62805	1	1	yes	characteristic, direct product factor, Sylow
967	C₂²	—	2	1	no	—
968	C₂²	—	2	3	no	—
969	C₂²	—	2	3	no	—
970	C₂²	—	2	1	no	—
971	C₂²	—	2	4	no	—
972	C₂²	—	2	3	no	—
973	C₂²	—	2	3	no	—
974	C₂²	—	2	4	no	—
975	C₂²	—	2	3	no	—
976	C₂²	—	2	4	no	—
977	C₂²	—	4	12	no	—
978	C₂²	C₂²×C₇×#41	1	6	yes	—
979	C₂²	C₂×C₇×2₋¹⁺⁴	1	2	yes	—
980	C₂²	C₂⁶×C₇	1	1	yes	characteristic
981	C₄	—	2	1	no	—
982	C₄	—	2	3	no	—
983	C₄	—	2	12	no	—
984	C₄	—	2	3	no	—
985	C₄	—	2	3	no	—
986	C₄	—	2	4	no	—
987	C₄	—	2	1	no	—
988	C₄	—	2	3	no	—
989	C₄	—	2	3	no	—
990	C₄	—	2	12	no	—
991	C₄	C₂²×C₇×#41	1	6	yes	—
992	C₄	C₂²×C₇×#41	1	2	yes	—
993	C₄	C₂×C₇×2₋¹⁺⁴	1	2	yes	—
994	C₄	C₂×C₇×2₋¹⁺⁴	1	2	yes	—
995	C₄	C₇×#585	1	2	yes	—
996	C₂	—	2	2	no	—
997	C₂	—	2	6	no	—
998	C₂	—	4	3	no	—
999	C₂	—	4	4	no	—
1000	C₂	C₂³×C₇×#41	1	1	yes	characteristic
1001	C₂	C₂²×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1002	C₂	C₂×C₇×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₇	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₇
socle	C₂²×C₇	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3523	C₂	semidirect
2. C₇×#3520	C₂	semidirect
3. C₇×#3518	C₂	semidirect
4. C₇×#3515	C₂	semidirect
5. C₇×#3511	C₂	semidirect
6. C₇×#3509	C₂	semidirect
7. C₇×#3503	C₂	semidirect
8. C₇×#3499	C₂	semidirect
9. C₇×#3495	C₂	semidirect
10. C₇×#3489	C₂	semidirect
11. C₇×#3482	C₂	semidirect
12. C₇×#3482	C₂	semidirect
13. C₇×Q₈×#41	C₂	semidirect
14. C₇×#3475	C₂	semidirect
15. C₇×#3461	C₂	semidirect
16. C₇×#3444	C₂	semidirect
17. C₂×C₇×#533	C₂	semidirect
18. C₄×C₇×2₋¹⁺⁴	C₂	semidirect
19. C₂×C₄×C₇×#41	C₂	semidirect
22. C₇×Q₈²	C₂²	semidirect
23. C₇×#557	C₂²	semidirect
24. C₇×#557	C₂²	semidirect
25. C₇×#557	C₂²	semidirect
26. C₇×#556	C₂²	semidirect
27. C₇×#556	C₂²	semidirect
28. C₇×#556	C₂²	semidirect
29. C₇×#556	C₂²	semidirect
30. C₇×#555	C₂²	semidirect
32. C₇×#554	C₂²	semidirect
33. C₇×#554	C₂²	semidirect
34. C₇×#553	C₂²	semidirect
36. C₇×#552	C₂²	semidirect
37. C₇×#552	C₂²	semidirect
38. C₇×#552	C₂²	semidirect
39. C₇×#552	C₂²	semidirect
42. C₇×D₄×Q₈	C₂²	semidirect
43. C₇×D₄×Q₈	C₂²	semidirect
44. C₇×D₄×Q₈	C₂²	semidirect
46. C₇×#548	C₂²	semidirect
48. C₇×#547	C₂²	semidirect
49. C₇×#547	C₂²	semidirect
50. C₇×#547	C₂²	semidirect
52. C₇×#544	C₂²	semidirect
53. C₇×#542	C₂²	semidirect
54. C₇×#542	C₂²	semidirect
55. C₇×#541	C₂²	semidirect
56. C₇×#541	C₂²	semidirect
57. C₇×#539	C₂²	semidirect
60. C₇×#536	C₂²	semidirect
65. C₇×#533	C₂²	semidirect
66. C₇×#533	C₂²	semidirect
67. C₇×#533	C₂²	semidirect
68. C₇×#533	C₂²	semidirect
69. C₇×#533	C₂²	semidirect
70. C₇×#533	C₂²	semidirect
71. C₇×#533	C₂²	semidirect
73. C₇×#532	C₂²	semidirect
74. C₇×#532	C₂²	semidirect
75. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
76. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
79. C₇×#529	C₂²	semidirect
80. C₇×#529	C₂²	semidirect
81. C₇×#529	C₂²	semidirect
82. C₇×#529	C₂²	semidirect
83. C₇×#529	C₂²	semidirect
84. C₇×#529	C₂²	semidirect
85. C₂×C₇×#125	C₂²	semidirect
92. C₇×#520	C₂²	semidirect
93. C₇×#520	C₂²	semidirect
94. C₇×#519	C₂²	semidirect
95. C₇×#519	C₂²	semidirect
105. C₄×C₇×#41	C₂²	semidirect
106. C₄×C₇×#41	C₂²	semidirect
107. C₄×C₇×#41	C₂²	semidirect
110. C₂×C₄×C₇×Q₈	C₂²	semidirect
111. C₂×C₄×C₇×Q₈	C₂²	semidirect
112. C₂×C₄×C₇×Q₈	C₂²	semidirect
118. #62805	C₇	direct (N × H)
291. #3523	C₂×C₇	semidirect
292. #3520	C₂×C₇	semidirect
293. #3518	C₂×C₇	semidirect
294. #3515	C₂×C₇	semidirect
295. #3511	C₂×C₇	semidirect
296. #3509	C₂×C₇	semidirect
297. #3503	C₂×C₇	semidirect
298. #3499	C₂×C₇	semidirect
299. #3495	C₂×C₇	semidirect
300. #3489	C₂×C₇	semidirect
301. #3482	C₂×C₇	semidirect
302. #3482	C₂×C₇	semidirect
303. Q₈×#41	C₂×C₇	semidirect
304. #3475	C₂×C₇	semidirect
305. #3461	C₂×C₇	semidirect
306. #3444	C₂×C₇	semidirect
307. C₂×#533	C₂×C₇	semidirect
308. C₄×2₋¹⁺⁴	C₂×C₇	semidirect
309. C₂×C₄×#41	C₂×C₇	semidirect
318. C₇×#41	#41	semidirect
426. Q₈²	C₂²×C₇	semidirect
427. #557	C₂²×C₇	semidirect
428. #557	C₂²×C₇	semidirect
429. #557	C₂²×C₇	semidirect
430. #556	C₂²×C₇	semidirect
431. #556	C₂²×C₇	semidirect
432. #556	C₂²×C₇	semidirect
433. #556	C₂²×C₇	semidirect
434. #555	C₂²×C₇	semidirect
436. #554	C₂²×C₇	semidirect
437. #554	C₂²×C₇	semidirect
438. #553	C₂²×C₇	semidirect
440. #552	C₂²×C₇	semidirect
441. #552	C₂²×C₇	semidirect
442. #552	C₂²×C₇	semidirect
443. #552	C₂²×C₇	semidirect
446. D₄×Q₈	C₂²×C₇	semidirect
447. D₄×Q₈	C₂²×C₇	semidirect
448. D₄×Q₈	C₂²×C₇	semidirect
450. #548	C₂²×C₇	semidirect
452. #547	C₂²×C₇	semidirect
453. #547	C₂²×C₇	semidirect
454. #547	C₂²×C₇	semidirect
456. #544	C₂²×C₇	semidirect
457. #542	C₂²×C₇	semidirect
458. #542	C₂²×C₇	semidirect
459. #541	C₂²×C₇	semidirect
460. #541	C₂²×C₇	semidirect
461. #539	C₂²×C₇	semidirect
464. #536	C₂²×C₇	semidirect
469. #533	C₂²×C₇	semidirect
470. #533	C₂²×C₇	semidirect
471. #533	C₂²×C₇	semidirect
472. #533	C₂²×C₇	semidirect
473. #533	C₂²×C₇	semidirect
474. #533	C₂²×C₇	semidirect
475. #533	C₂²×C₇	semidirect
477. #532	C₂²×C₇	semidirect
478. #532	C₂²×C₇	semidirect
479. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
480. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
483. #529	C₂²×C₇	semidirect
484. #529	C₂²×C₇	semidirect
485. #529	C₂²×C₇	semidirect
486. #529	C₂²×C₇	semidirect
487. #529	C₂²×C₇	semidirect
488. #529	C₂²×C₇	semidirect
489. C₂×#125	C₂²×C₇	semidirect
496. #520	C₂²×C₇	semidirect
497. #520	C₂²×C₇	semidirect
498. #519	C₂²×C₇	semidirect
499. #519	C₂²×C₇	semidirect
509. C₄×#41	C₂²×C₇	semidirect
510. C₄×#41	C₂²×C₇	semidirect
511. C₄×#41	C₂²×C₇	semidirect
514. C₂×C₄×Q₈	C₂²×C₇	semidirect
515. C₂×C₄×Q₈	C₂²×C₇	semidirect
516. C₂×C₄×Q₈	C₂²×C₇	semidirect
567. C₂×C₄×C₇	2₋¹⁺⁴	semidirect
792. #41	C₇×#41	semidirect
950. C₂×C₄	C₇×2₋¹⁺⁴	semidirect
966. C₇	#62805	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×#3523	2
C₇×#3520	2
C₇×#3518	2
C₇×#3515	2
C₇×#3511	2
C₇×#3509	2
C₇×#3503	2
C₇×#3499	2
C₇×#3495	2
C₇×#3489	2
C₇×#3482	2
C₇×Q₈×#41	2
C₇×#3475	2
C₇×#3461	2
C₇×#3444	2
C₂×C₇×#533	2
C₄×C₇×2₋¹⁺⁴	2
C₂×C₄×C₇×#41	2
#62805	7

Subgroups — C7×#62805 #13240021

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62805 #13240021