Subgroups — C₇×#22606 #13199822

Order 1792.

704 conjugacy classes of subgroups.

The subgroup lattice has 374 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2924	C₂	1	2	yes	maximal
2	C₂×C₇×#427	C₂	1	1	yes	maximal, characteristic
3	C₇×#1945	C₂	1	2	yes	maximal, complemented
4	C₇×#1922	C₂	1	4	yes	maximal, complemented
5	C₇×#1826	C₂	1	2	yes	maximal
6	C₇×#1810	C₂	1	1	yes	maximal, characteristic
7	C₇×#1772	C₂	1	2	yes	maximal, complemented
8	C₇×C₈×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic
9	C₂³×C₇×C₈	C₂²	1	1	yes	characteristic
10	C₂×C₇×#117	C₂²	1	2	yes	—
11	C₇×#433	—	2	4	no	—
12	C₇×#432	—	2	2	no	—
13	C₇×#431	—	2	2	no	—
14	C₂×C₇×#108	C₂²	1	2	yes	—
15	C₇×#427	C₄	1	1	yes	characteristic, complemented
16	C₇×#427	C₄	1	1	yes	characteristic, complemented
17	C₇×#427	C₄	1	2	yes	complemented
18	C₇×#427	C₂²	1	1	yes	characteristic
19	C₇×#427	C₂²	1	2	yes	—
20	C₇×#427	C₂²	1	1	yes	characteristic
21	C₂×C₇×#107	C₄	1	1	yes	characteristic, complemented
22	C₂×C₇×#107	C₄	1	1	yes	characteristic, complemented
23	C₂×C₇×#106	C₄	1	2	yes	complemented
24	C₇×#424	C₂²	1	4	yes	—
25	C₇×#407	C₂²	1	2	yes	—
26	C₂×C₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
27	C₇×#405	C₂²	1	4	yes	—
28	C₂×C₄×C₇×C₈	C₂²	1	2	yes	—
29	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
30	C₇×#341	C₂²	1	2	yes	—
31	C₇×#339	C₂²	1	4	yes	—
32	C₇×#339	C₂²	1	4	yes	—
33	C₇×#336	C₂²	1	2	yes	—
34	#22606	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
35	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
36	C₂×C₇×M₁₆	C₂³	1	4	yes	—
37	C₂²×C₇×C₈	—	2	4	no	—
38	C₂²×C₇×C₈	C₂×C₄	1	1	yes	characteristic
39	C₂²×C₇×C₈	C₂×C₄	1	1	yes	characteristic
40	C₂²×C₇×C₈	C₂×C₄	1	1	yes	characteristic
41	C₂²×C₇×C₈	C₂×C₄	1	1	yes	characteristic
42	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
43	C₂²×C₇×C₈	C₂³	1	2	yes	—
44	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
45	C₇×#117	—	2	2	no	—
46	C₇×#117	—	2	2	no	—
47	C₇×#117	C₂×C₄	1	2	yes	—
48	C₇×#117	C₂×C₄	1	2	yes	—
49	C₇×#117	C₂³	1	2	yes	—
50	C₇×#117	C₂³	1	2	yes	—
51	C₂×C₇×C₄⋊C₄	C₂×C₄	1	2	yes	—
52	C₂×C₇×C₄⋊C₄	C₂×C₄	1	2	yes	—
53	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
54	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
55	C₂×C₄²×C₇	—	2	2	no	—
56	C₂×C₄²×C₇	C₂³	1	2	yes	—
57	C₇×#108	—	2	4	no	—
58	C₇×#107	C₂×C₄	1	2	yes	—
59	C₇×#107	C₂×C₄	1	2	yes	—
60	C₇×#107	C₂×C₄	1	1	yes	characteristic
61	C₇×#107	C₂×C₄	1	1	yes	characteristic
62	C₇×#107	C₂×C₄	1	1	yes	characteristic
63	C₇×#107	C₂×C₄	1	1	yes	characteristic
64	C₇×#106	C₂×C₄	1	2	yes	—
65	C₇×#106	C₂×C₄	1	2	yes	—
66	C₇×#106	C₂×C₄	1	2	yes	—
67	C₇×#106	C₂×C₄	1	2	yes	—
68	C₇×C₄⋊C₈	—	2	4	no	—
69	C₇×C₄⋊C₈	—	2	4	no	—
70	C₇×C₂²⋊C₈	—	2	2	no	—
71	C₇×C₂²⋊C₈	—	2	2	no	—
72	C₇×C₂²⋊C₈	D₄	1	1	yes	characteristic
73	C₇×C₂²⋊C₈	D₄	1	1	yes	characteristic
74	C₇×C₂²⋊C₈	D₄	1	2	yes	—
75	C₇×#97	—	2	4	no	—
76	C₄×C₇×C₈	—	2	4	no	—
77	C₄×C₇×C₈	—	2	4	no	—
78	C₇×#95	—	2	1	no	—
79	#2924	C₂×C₇	1	2	yes	—
80	C₂×#427	C₂×C₇	1	1	yes	characteristic
81	#1945	C₂×C₇	1	2	yes	complemented
82	#1922	C₂×C₇	1	4	yes	complemented
83	#1826	C₂×C₇	1	2	yes	—
84	#1810	C₂×C₇	1	1	yes	characteristic
85	#1772	C₂×C₇	1	2	yes	complemented
86	C₈×C₂²⋊C₄	C₂×C₇	1	1	yes	characteristic
87	C₂⁴×C₇	#41	1	1	yes	characteristic
88	C₂²×C₄×C₇	—	2	2	no	—
89	C₂²×C₄×C₇	—	2	2	no	—
90	C₂²×C₄×C₇	—	2	2	no	—
91	C₂²×C₄×C₇	—	2	2	no	—
92	C₂²×C₄×C₇	—	2	2	no	—
93	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
94	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
95	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₇	#41	1	1	yes	characteristic
98	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
99	C₇×M₁₆	—	2	4	no	—
100	C₇×M₁₆	—	2	4	no	—
101	C₂×C₇×C₈	—	2	2	no	—
102	C₂×C₇×C₈	—	2	2	no	—
103	C₂×C₇×C₈	—	2	2	no	—
104	C₂×C₇×C₈	—	2	2	no	—
105	C₂×C₇×C₈	—	2	2	no	—
106	C₂×C₇×C₈	—	2	2	no	—
107	C₂×C₇×C₈	—	2	2	no	—
108	C₂×C₇×C₈	—	2	4	no	—
109	C₂×C₇×C₈	C₂²×C₄	1	1	yes	characteristic
110	C₂×C₇×C₈	C₂²×C₄	1	1	yes	characteristic
111	C₂×C₇×C₈	C₂²×C₄	1	1	yes	characteristic
112	C₂×C₇×C₈	C₂²×C₄	1	1	yes	characteristic
113	C₂×C₇×C₈	C₂×D₄	1	2	yes	—
114	C₂×C₇×C₈	C₂×D₄	1	2	yes	—
115	C₂×C₇×C₈	#41	1	4	yes	—
116	C₇×C₄⋊C₄	—	2	2	no	—
117	C₇×C₄⋊C₄	—	2	2	no	—
118	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
119	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
120	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
121	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
122	C₇×C₂²⋊C₄	—	2	4	no	—
123	C₇×C₂²⋊C₄	—	2	2	no	—
124	C₇×C₂²⋊C₄	—	2	2	no	—
125	C₇×C₂²⋊C₄	—	2	2	no	—
126	C₇×C₂²⋊C₄	—	2	2	no	—
127	C₄²×C₇	—	2	2	no	—
128	C₄²×C₇	—	2	2	no	—
129	C₄²×C₇	—	2	2	no	—
130	C₄²×C₇	—	2	2	no	—
131	C₄²×C₇	—	2	2	no	—
132	C₄²×C₇	—	2	2	no	—
133	C₂³×C₈	C₂²×C₇	1	1	yes	characteristic
134	C₂×#117	C₂²×C₇	1	2	yes	—
135	#433	—	2	4	no	—
136	#432	—	2	2	no	—
137	#431	—	2	2	no	—
138	C₂×#108	C₂²×C₇	1	2	yes	—
139	#427	C₄×C₇	1	1	yes	characteristic, complemented
140	#427	C₄×C₇	1	1	yes	characteristic, complemented
141	#427	C₄×C₇	1	2	yes	complemented
142	#427	C₂²×C₇	1	2	yes	—
143	#427	C₂²×C₇	1	1	yes	characteristic
144	#427	C₂²×C₇	1	1	yes	characteristic
145	C₂×#107	C₄×C₇	1	1	yes	characteristic, complemented
146	C₂×#107	C₄×C₇	1	1	yes	characteristic, complemented
147	C₂×#106	C₄×C₇	1	2	yes	complemented
148	#424	C₂²×C₇	1	4	yes	—
149	#407	C₂²×C₇	1	2	yes	—
150	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic
151	#405	C₂²×C₇	1	4	yes	—
152	C₂×C₄×C₈	C₂²×C₇	1	2	yes	—
153	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
154	#341	C₂²×C₇	1	2	yes	—
155	#339	C₂²×C₇	1	4	yes	—
156	#339	C₂²×C₇	1	4	yes	—
157	#336	C₂²×C₇	1	2	yes	—
158	C₂³×C₇	—	2	2	no	—
159	C₂³×C₇	—	2	2	no	—
160	C₂³×C₇	—	4	1	no	—
161	C₂³×C₇	C₄×D₄	1	1	yes	characteristic
162	C₂³×C₇	C₄×D₄	1	1	yes	characteristic
163	C₂³×C₇	C₂×#41	1	1	yes	characteristic
164	C₂×C₄×C₇	—	2	2	no	—
165	C₂×C₄×C₇	—	2	1	no	—
166	C₂×C₄×C₇	—	2	1	no	—
167	C₂×C₄×C₇	—	2	1	no	—
168	C₂×C₄×C₇	—	2	1	no	—
169	C₂×C₄×C₇	—	2	2	no	—
170	C₂×C₄×C₇	—	2	2	no	—
171	C₂×C₄×C₇	—	2	4	no	—
172	C₂×C₄×C₇	—	2	2	no	—
173	C₂×C₄×C₇	—	2	2	no	—
174	C₂×C₄×C₇	—	2	2	no	—
175	C₂×C₄×C₇	—	2	2	no	—
176	C₂×C₄×C₇	—	4	2	no	—
177	C₂×C₄×C₇	—	4	2	no	—
178	C₂×C₄×C₇	—	4	4	no	—
179	C₂×C₄×C₇	—	8	2	no	—
180	C₂×C₄×C₇	C₄×D₄	1	1	yes	characteristic
181	C₂×C₄×C₇	C₄×D₄	1	1	yes	characteristic
182	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
183	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
184	C₂×C₄×C₇	C₂×#41	1	2	yes	—
185	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
186	C₇×C₈	—	2	1	no	—
187	C₇×C₈	—	2	1	no	—
188	C₇×C₈	—	2	2	no	—
189	C₇×C₈	—	2	2	no	—
190	C₇×C₈	—	4	4	no	—
191	C₇×C₈	#117	1	2	yes	—
192	C₇×C₈	#117	1	2	yes	—
193	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
194	C₂×M₁₆	C₂³×C₇	1	4	yes	—
195	C₂²×C₈	—	2	4	no	—
196	C₂²×C₈	C₂×C₄×C₇	1	1	yes	characteristic
197	C₂²×C₈	C₂×C₄×C₇	1	1	yes	characteristic
198	C₂²×C₈	C₂×C₄×C₇	1	1	yes	characteristic
199	C₂²×C₈	C₂×C₄×C₇	1	1	yes	characteristic
200	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
201	C₂²×C₈	C₂³×C₇	1	2	yes	—
202	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
203	#117	—	2	2	no	—
204	#117	—	2	2	no	—
205	#117	C₂×C₄×C₇	1	2	yes	—
206	#117	C₂×C₄×C₇	1	2	yes	—
207	#117	C₂³×C₇	1	2	yes	—
208	#117	C₂³×C₇	1	2	yes	—
209	C₂×C₄⋊C₄	C₂×C₄×C₇	1	2	yes	—
210	C₂×C₄⋊C₄	C₂×C₄×C₇	1	2	yes	—
211	C₂×C₂²⋊C₄	—	2	2	no	—
212	C₂×C₂²⋊C₄	—	2	1	no	—
213	C₂×C₄²	—	2	2	no	—
214	C₂×C₄²	C₂³×C₇	1	2	yes	—
215	#108	—	2	4	no	—
216	#107	C₂×C₄×C₇	1	2	yes	—
217	#107	C₂×C₄×C₇	1	2	yes	—
218	#107	C₂×C₄×C₇	1	1	yes	characteristic
219	#107	C₂×C₄×C₇	1	1	yes	characteristic
220	#107	C₂×C₄×C₇	1	1	yes	characteristic
221	#107	C₂×C₄×C₇	1	1	yes	characteristic
222	#106	C₂×C₄×C₇	1	2	yes	—
223	#106	C₂×C₄×C₇	1	2	yes	—
224	#106	C₂×C₄×C₇	1	2	yes	—
225	#106	C₂×C₄×C₇	1	2	yes	—
226	C₄⋊C₈	—	2	4	no	—
227	C₄⋊C₈	—	2	4	no	—
228	C₂²⋊C₈	—	2	2	no	—
229	C₂²⋊C₈	—	2	2	no	—
230	C₂²⋊C₈	C₇×D₄	1	1	yes	characteristic
231	C₂²⋊C₈	C₇×D₄	1	1	yes	characteristic
232	C₂²⋊C₈	C₇×D₄	1	2	yes	—
233	#97	—	2	4	no	—
234	C₄×C₈	—	2	4	no	—
235	C₄×C₈	—	2	4	no	—
236	#95	—	2	1	no	—
237	C₂²×C₇	—	2	1	no	—
238	C₂²×C₇	—	2	1	no	—
239	C₂²×C₇	—	2	1	no	—
240	C₂²×C₇	—	2	1	no	—
241	C₂²×C₇	—	2	1	no	—
242	C₂²×C₇	—	2	1	no	—
243	C₂²×C₇	—	2	1	no	—
244	C₂²×C₇	—	4	4	no	—
245	C₂²×C₇	#443	1	2	yes	—
246	C₂²×C₇	C₂×C₄×D₄	1	1	yes	characteristic
247	C₂²×C₇	#552	1	2	yes	—
248	C₄×C₇	—	2	1	no	—
249	C₄×C₇	—	2	1	no	—
250	C₄×C₇	—	4	4	no	—
251	C₄×C₇	—	4	2	no	—
252	C₄×C₇	—	4	2	no	—
253	C₄×C₇	—	4	2	no	—
254	C₄×C₇	—	4	2	no	—
255	C₄×C₇	C₂×#117	1	1	yes	characteristic
256	C₄×C₇	#519	1	1	yes	characteristic
257	C₄×C₇	#547	1	2	yes	—
258	C₂⁴	C₇×#41	1	1	yes	characteristic
259	C₂²×C₄	—	2	2	no	—
260	C₂²×C₄	—	2	2	no	—
261	C₂²×C₄	—	2	2	no	—
262	C₂²×C₄	—	2	2	no	—
263	C₂²×C₄	—	2	2	no	—
264	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
265	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
266	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
267	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
268	C₂²×C₄	C₇×#41	1	1	yes	characteristic
269	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
270	M₁₆	—	2	4	no	—
271	M₁₆	—	2	4	no	—
272	C₂×C₈	—	2	2	no	—
273	C₂×C₈	—	2	2	no	—
274	C₂×C₈	—	2	2	no	—
275	C₂×C₈	—	2	2	no	—
276	C₂×C₈	—	2	2	no	—
277	C₂×C₈	—	2	2	no	—
278	C₂×C₈	—	2	2	no	—
279	C₂×C₈	—	2	4	no	—
280	C₂×C₈	C₂²×C₄×C₇	1	1	yes	characteristic
281	C₂×C₈	C₂²×C₄×C₇	1	1	yes	characteristic
282	C₂×C₈	C₂²×C₄×C₇	1	1	yes	characteristic
283	C₂×C₈	C₂²×C₄×C₇	1	1	yes	characteristic
284	C₂×C₈	C₂×C₇×D₄	1	2	yes	—
285	C₂×C₈	C₂×C₇×D₄	1	2	yes	—
286	C₂×C₈	C₇×#41	1	4	yes	—
287	C₄⋊C₄	—	2	2	no	—
288	C₄⋊C₄	—	2	2	no	—
289	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
290	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
291	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
292	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
293	C₂²⋊C₄	—	2	4	no	—
294	C₂²⋊C₄	—	2	2	no	—
295	C₂²⋊C₄	—	2	2	no	—
296	C₂²⋊C₄	—	2	2	no	—
297	C₂²⋊C₄	—	2	2	no	—
298	C₄²	—	2	2	no	—
299	C₄²	—	2	2	no	—
300	C₄²	—	2	2	no	—
301	C₄²	—	2	2	no	—
302	C₄²	—	2	2	no	—
303	C₄²	—	2	2	no	—
304	C₂×C₇	—	2	2	no	—
305	C₂×C₇	—	2	2	no	—
306	C₂×C₇	—	4	1	no	—
307	C₂×C₇	#2344	1	1	yes	characteristic
308	C₂×C₇	C₂×#443	1	1	yes	characteristic
309	C₂×C₇	#2957	1	1	yes	characteristic
310	C₂³	—	2	2	no	—
311	C₂³	—	2	2	no	—
312	C₂³	—	4	1	no	—
313	C₂³	C₄×C₇×D₄	1	1	yes	characteristic
314	C₂³	C₄×C₇×D₄	1	1	yes	characteristic
315	C₂³	C₂×C₇×#41	1	1	yes	characteristic
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	4	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	4	no	—
331	C₂×C₄	—	8	2	no	—
332	C₂×C₄	C₄×C₇×D₄	1	1	yes	characteristic
333	C₂×C₄	C₄×C₇×D₄	1	1	yes	characteristic
334	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
335	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
336	C₂×C₄	C₂×C₇×#41	1	2	yes	—
337	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
338	C₈	—	2	1	no	—
339	C₈	—	2	1	no	—
340	C₈	—	2	2	no	—
341	C₈	—	2	2	no	—
342	C₈	—	4	4	no	—
343	C₈	C₇×#117	1	2	yes	—
344	C₈	C₇×#117	1	2	yes	—
345	C₇	#22606	1	1	yes	characteristic, direct product factor, Sylow
346	C₂²	—	2	1	no	—
347	C₂²	—	2	1	no	—
348	C₂²	—	2	1	no	—
349	C₂²	—	2	1	no	—
350	C₂²	—	2	1	no	—
351	C₂²	—	2	1	no	—
352	C₂²	—	2	1	no	—
353	C₂²	—	4	4	no	—
354	C₂²	C₇×#443	1	2	yes	—
355	C₂²	C₂×C₄×C₇×D₄	1	1	yes	characteristic
356	C₂²	C₇×#552	1	2	yes	—
357	C₄	—	2	1	no	—
358	C₄	—	2	1	no	—
359	C₄	—	4	4	no	—
360	C₄	—	4	2	no	—
361	C₄	—	4	2	no	—
362	C₄	—	4	2	no	—
363	C₄	—	4	2	no	—
364	C₄	C₂×C₇×#117	1	1	yes	characteristic
365	C₄	C₇×#519	1	1	yes	characteristic
366	C₄	C₇×#547	1	2	yes	—
367	C₂	—	2	2	no	—
368	C₂	—	2	2	no	—
369	C₂	—	4	1	no	—
370	C₂	C₇×#2344	1	1	yes	characteristic
371	C₂	C₂×C₇×#443	1	1	yes	characteristic
372	C₂	C₇×#2957	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₇	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₇
Frattini, cosocle	C₂²×C₄	C₂⁴×C₇
socle	C₂²×C₇	C₂×C₄×D₄
prime radical	C₂⁴×C₇	#41
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₇ ◁ C₂×C₇×C₂²⋊C₈ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₇×#1945	C₂	semidirect
4. C₇×#1922	C₂	semidirect
7. C₇×#1772	C₂	semidirect
15. C₇×#427	C₄	semidirect
16. C₇×#427	C₄	semidirect
17. C₇×#427	C₄	semidirect
21. C₂×C₇×#107	C₄	semidirect
22. C₂×C₇×#107	C₄	semidirect
23. C₂×C₇×#106	C₄	semidirect
34. #22606	C₇	direct (N × H)
81. #1945	C₂×C₇	semidirect
82. #1922	C₂×C₇	semidirect
85. #1772	C₂×C₇	semidirect
139. #427	C₄×C₇	semidirect
140. #427	C₄×C₇	semidirect
141. #427	C₄×C₇	semidirect
145. C₂×#107	C₄×C₇	semidirect
146. C₂×#107	C₄×C₇	semidirect
147. C₂×#106	C₄×C₇	semidirect
345. C₇	#22606	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×#2924	2
C₂×C₇×#427	2
C₇×#1945	2
C₇×#1922	2
C₇×#1826	2
C₇×#1810	2
C₇×#1772	2
C₇×C₈×C₂²⋊C₄	2
#22606	7

Subgroups — C7×#22606 #13199822

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#22606 #13199822