Subgroups — C₇×#18092 #13195308

Order 1792.

598 conjugacy classes of subgroups.

The subgroup lattice has 368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3168	C₂	1	1	yes	maximal, characteristic
2	C₇×#2994	C₂	1	2	yes	maximal, complemented
3	C₇×#1592	C₂	1	2	yes	maximal, complemented
4	C₇×#1584	C₂	1	2	yes	maximal, complemented
5	C₇×#1581	C₂	1	2	yes	maximal, complemented
6	C₇×SD₁₆⋊C₈	C₂	1	2	yes	maximal, complemented
7	C₂×C₇×#335	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#1483	C₂	1	2	yes	maximal, complemented
9	C₇×#1451	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#529	C₂²	1	2	yes	—
11	C₇×#499	C₄	1	1	yes	characteristic
12	C₇×#495	C₄	1	1	yes	characteristic
13	C₇×#488	C₄	1	2	yes	—
14	C₇×#467	C₄	1	1	yes	characteristic
15	C₇×#466	C₄	1	1	yes	characteristic
16	C₇×#465	C₄	1	2	yes	—
17	C₇×#446	C₂²	1	2	yes	—
18	C₇×C₈×Q₈	C₂²	1	2	yes	—
19	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic
20	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
21	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
22	C₇×#436	C₂²	1	2	yes	—
23	C₇×#435	—	2	2	no	—
24	C₇×C₈×D₄	—	2	2	no	—
25	C₇×C₈×D₄	C₂²	1	2	yes	—
26	C₇×#433	—	2	2	no	—
27	C₇×#431	C₂²	1	1	yes	characteristic
28	C₇×#424	—	2	2	no	—
29	C₂×C₇×C₄⋊C₈	C₂²	1	2	yes	—
30	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic
31	C₂×C₄×C₇×C₈	C₂²	1	1	yes	characteristic
32	C₇×#335	C₂²	1	1	yes	characteristic
33	C₇×#335	C₂²	1	2	yes	—
34	C₇×#335	C₂²	1	1	yes	characteristic
35	C₇×Q₈⋊C₈	C₂²	1	2	yes	—
36	C₇×Q₈⋊C₈	C₂²	1	2	yes	—
37	C₇×D₄⋊C₈	C₂²	1	2	yes	—
38	C₇×D₄⋊C₈	C₂²	1	2	yes	—
39	C₇×#322	C₂²	1	2	yes	—
40	C₇×#322	C₂²	1	2	yes	—
41	#18092	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
42	C₂×C₇×Q₁₆	C₂×C₄	1	1	yes	characteristic
43	C₂×C₇×SD₁₆	C₂×C₄	1	2	yes	—
44	C₂×C₇×D₈	C₂×C₄	1	1	yes	characteristic
45	C₂×C₇×M₁₆	—	2	1	no	—
46	C₂×C₇×M₁₆	—	2	2	no	—
47	C₂²×C₇×C₈	—	2	2	no	—
48	C₂²×C₇×C₈	—	2	2	no	—
49	C₂²×C₇×C₈	C₂×C₄	1	1	yes	characteristic
50	C₂²×C₇×C₈	C₂×C₄	1	1	yes	characteristic
51	C₇×#126	—	2	2	no	—
52	C₇×#125	C₂×C₄	1	2	yes	—
53	C₇×#124	C₂×C₄	1	2	yes	—
54	C₇×#123	—	2	2	no	—
55	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
56	C₇×#121	C₂×C₄	1	2	yes	—
57	C₄×C₇×Q₈	C₂³	1	2	yes	—
58	C₄×C₇×D₄	—	2	2	no	—
59	C₄×C₇×D₄	C₂³	1	2	yes	—
60	C₇×#117	—	2	2	no	—
61	C₂×C₄²×C₇	C₂³	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×C₄⋊C₈	—	2	2	no	—
66	C₇×C₄⋊C₈	—	2	2	no	—
67	C₇×C₄⋊C₈	—	2	2	no	—
68	C₇×C₄⋊C₈	D₄	1	1	yes	characteristic
69	C₇×C₄⋊C₈	D₄	1	1	yes	characteristic
70	C₇×C₄⋊C₈	C₂³	1	2	yes	—
71	C₇×C₄⋊C₈	C₂³	1	2	yes	—
72	C₇×#103	C₂×C₄	1	2	yes	—
73	C₇×#103	C₂×C₄	1	2	yes	—
74	C₇×#102	C₂×C₄	1	2	yes	—
75	C₇×#102	C₂×C₄	1	2	yes	—
76	C₇×C₂²⋊C₈	—	2	2	no	—
77	C₇×C₂²⋊C₈	—	2	2	no	—
78	C₇×C₂²⋊C₈	D₄	1	2	yes	—
79	C₇×#97	—	2	2	no	—
80	C₇×#97	—	2	1	no	—
81	C₄×C₇×C₈	—	2	2	no	—
82	C₄×C₇×C₈	C₂×C₄	1	1	yes	characteristic
83	C₄×C₇×C₈	C₂×C₄	1	1	yes	characteristic
84	C₄×C₇×C₈	C₂³	1	2	yes	—
85	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
86	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
87	C₄×C₇×C₈	C₂³	1	2	yes	—
88	#3168	C₂×C₇	1	1	yes	characteristic
89	#2994	C₂×C₇	1	2	yes	complemented
90	#1592	C₂×C₇	1	2	yes	complemented
91	#1584	C₂×C₇	1	2	yes	complemented
92	#1581	C₂×C₇	1	2	yes	complemented
93	SD₁₆⋊C₈	C₂×C₇	1	2	yes	complemented
94	C₂×#335	C₂×C₇	1	1	yes	characteristic, complemented
95	#1483	C₂×C₇	1	2	yes	complemented
96	#1451	C₂×C₇	1	1	yes	characteristic, complemented
97	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
98	C₂×C₇×D₄	—	2	2	no	—
99	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
100	C₂²×C₄×C₇	—	2	2	no	—
101	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
102	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
103	C₂²×C₄×C₇	#41	1	1	yes	characteristic
104	C₇×Q₁₆	—	4	1	no	—
105	C₇×SD₁₆	—	2	4	no	—
106	C₇×D₈	—	4	1	no	—
107	C₇×M₁₆	—	4	2	no	—
108	C₇×M₁₆	—	8	2	no	—
109	C₂×C₇×C₈	—	2	2	no	—
110	C₂×C₇×C₈	—	2	2	no	—
111	C₂×C₇×C₈	—	2	2	no	—
112	C₂×C₇×C₈	—	2	2	no	—
113	C₂×C₇×C₈	—	4	1	no	—
114	C₂×C₇×C₈	—	8	2	no	—
115	C₂×C₇×C₈	—	8	2	no	—
116	C₂×C₇×C₈	C₂²×C₄	1	1	yes	characteristic
117	C₂×C₇×C₈	C₂²×C₄	1	1	yes	characteristic
118	C₂×C₇×C₈	C₂²×C₄	1	1	yes	characteristic
119	C₂×C₇×C₈	C₂²×C₄	1	1	yes	characteristic
120	C₂×C₇×C₈	C₂×D₄	1	2	yes	—
121	C₂×C₇×C₈	C₂×D₄	1	2	yes	—
122	C₇×C₄⋊C₄	—	2	2	no	—
123	C₇×C₄⋊C₄	—	2	2	no	—
124	C₇×C₄⋊C₄	—	2	2	no	—
125	C₇×C₄⋊C₄	—	2	2	no	—
126	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
127	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
128	C₇×C₂²⋊C₄	—	2	2	no	—
129	C₇×C₂²⋊C₄	—	2	2	no	—
130	C₇×C₂²⋊C₄	—	2	2	no	—
131	C₇×C₂²⋊C₄	—	2	2	no	—
132	C₇×C₂²⋊C₄	—	2	2	no	—
133	C₄²×C₇	—	2	2	no	—
134	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
135	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
136	C₄²×C₇	#41	1	1	yes	characteristic
137	C₄²×C₇	C₂⁴	1	1	yes	characteristic
138	#529	C₂²×C₇	1	2	yes	—
139	#499	C₄×C₇	1	1	yes	characteristic
140	#495	C₄×C₇	1	1	yes	characteristic
141	#488	C₄×C₇	1	2	yes	—
142	#467	C₄×C₇	1	1	yes	characteristic
143	#466	C₄×C₇	1	1	yes	characteristic
144	#465	C₄×C₇	1	2	yes	—
145	#446	C₂²×C₇	1	2	yes	—
146	C₈×Q₈	C₂²×C₇	1	2	yes	—
147	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic
148	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
149	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
150	#436	C₂²×C₇	1	2	yes	—
151	#435	—	2	2	no	—
152	C₈×D₄	—	2	2	no	—
153	C₈×D₄	C₂²×C₇	1	2	yes	—
154	#433	—	2	2	no	—
155	#431	C₂²×C₇	1	1	yes	characteristic
156	#424	—	2	2	no	—
157	C₂×C₄⋊C₈	C₂²×C₇	1	2	yes	—
158	C₄×M₁₆	C₂²×C₇	1	1	yes	characteristic
159	C₂×C₄×C₈	C₂²×C₇	1	1	yes	characteristic
160	#335	C₂²×C₇	1	1	yes	characteristic
161	#335	C₂²×C₇	1	2	yes	—
162	#335	C₂²×C₇	1	1	yes	characteristic
163	Q₈⋊C₈	C₂²×C₇	1	2	yes	—
164	Q₈⋊C₈	C₂²×C₇	1	2	yes	—
165	D₄⋊C₈	C₂²×C₇	1	2	yes	—
166	D₄⋊C₈	C₂²×C₇	1	2	yes	—
167	#322	C₂²×C₇	1	2	yes	—
168	#322	C₂²×C₇	1	2	yes	—
169	C₂³×C₇	—	2	2	no	—
170	C₂³×C₇	C₄×D₄	1	1	yes	characteristic
171	C₇×Q₈	—	2	2	no	—
172	C₇×Q₈	—	2	2	no	—
173	C₇×D₄	—	2	2	no	—
174	C₇×D₄	—	2	2	no	—
175	C₇×D₄	—	4	4	no	—
176	C₂×C₄×C₇	—	2	2	no	—
177	C₂×C₄×C₇	—	2	1	no	—
178	C₂×C₄×C₇	—	2	1	no	—
179	C₂×C₄×C₇	—	2	1	no	—
180	C₂×C₄×C₇	—	2	1	no	—
181	C₂×C₄×C₇	—	2	2	no	—
182	C₂×C₄×C₇	—	2	2	no	—
183	C₂×C₄×C₇	—	2	2	no	—
184	C₂×C₄×C₇	—	4	2	no	—
185	C₂×C₄×C₇	—	4	2	no	—
186	C₂×C₄×C₇	C₄×D₄	1	1	yes	characteristic
187	C₂×C₄×C₇	C₄×D₄	1	1	yes	characteristic
188	C₂×C₄×C₇	C₄×D₄	1	1	yes	characteristic
189	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
190	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
191	C₂×C₄×C₇	C₂×#41	1	1	yes	characteristic
192	C₇×C₈	—	2	1	no	—
193	C₇×C₈	—	2	1	no	—
194	C₇×C₈	—	2	1	no	—
195	C₇×C₈	—	2	2	no	—
196	C₇×C₈	—	2	2	no	—
197	C₇×C₈	—	4	2	no	—
198	C₇×C₈	—	4	2	no	—
199	C₇×C₈	—	4	2	no	—
200	C₇×C₈	#131	1	2	yes	—
201	C₂×Q₁₆	C₂×C₄×C₇	1	1	yes	characteristic
202	C₂×SD₁₆	C₂×C₄×C₇	1	2	yes	—
203	C₂×D₈	C₂×C₄×C₇	1	1	yes	characteristic
204	C₂×M₁₆	—	2	1	no	—
205	C₂×M₁₆	—	2	2	no	—
206	C₂²×C₈	—	2	2	no	—
207	C₂²×C₈	—	2	2	no	—
208	C₂²×C₈	C₂×C₄×C₇	1	1	yes	characteristic
209	C₂²×C₈	C₂×C₄×C₇	1	1	yes	characteristic
210	#126	—	2	2	no	—
211	#125	C₂×C₄×C₇	1	2	yes	—
212	#124	C₂×C₄×C₇	1	2	yes	—
213	#123	—	2	2	no	—
214	C₂²⋊Q₈	C₂×C₄×C₇	1	2	yes	—
215	#121	C₂×C₄×C₇	1	2	yes	—
216	C₄×Q₈	C₂³×C₇	1	2	yes	—
217	C₄×D₄	—	2	2	no	—
218	C₄×D₄	C₂³×C₇	1	2	yes	—
219	#117	—	2	2	no	—
220	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
221	#107	C₂×C₄×C₇	1	1	yes	characteristic
222	#107	C₂×C₄×C₇	1	1	yes	characteristic
223	#106	C₂×C₄×C₇	1	2	yes	—
224	C₄⋊C₈	—	2	2	no	—
225	C₄⋊C₈	—	2	2	no	—
226	C₄⋊C₈	—	2	2	no	—
227	C₄⋊C₈	C₇×D₄	1	1	yes	characteristic
228	C₄⋊C₈	C₇×D₄	1	1	yes	characteristic
229	C₄⋊C₈	C₂³×C₇	1	2	yes	—
230	C₄⋊C₈	C₂³×C₇	1	2	yes	—
231	#103	C₂×C₄×C₇	1	2	yes	—
232	#103	C₂×C₄×C₇	1	2	yes	—
233	#102	C₂×C₄×C₇	1	2	yes	—
234	#102	C₂×C₄×C₇	1	2	yes	—
235	C₂²⋊C₈	—	2	2	no	—
236	C₂²⋊C₈	—	2	2	no	—
237	C₂²⋊C₈	C₇×D₄	1	2	yes	—
238	#97	—	2	2	no	—
239	#97	—	2	1	no	—
240	C₄×C₈	—	2	2	no	—
241	C₄×C₈	C₂×C₄×C₇	1	1	yes	characteristic
242	C₄×C₈	C₂×C₄×C₇	1	1	yes	characteristic
243	C₄×C₈	C₂³×C₇	1	2	yes	—
244	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
245	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
246	C₄×C₈	C₂³×C₇	1	2	yes	—
247	C₂²×C₇	—	2	1	no	—
248	C₂²×C₇	—	2	1	no	—
249	C₂²×C₇	—	4	2	no	—
250	C₂²×C₇	—	4	2	no	—
251	C₂²×C₇	—	4	2	no	—
252	C₂²×C₇	#444	1	2	yes	—
253	C₂²×C₇	C₂×C₄×D₄	1	1	yes	characteristic
254	C₄×C₇	—	2	1	no	—
255	C₄×C₇	—	2	1	no	—
256	C₄×C₇	—	2	1	no	—
257	C₄×C₇	—	2	1	no	—
258	C₄×C₇	—	4	2	no	—
259	C₄×C₇	—	4	2	no	—
260	C₄×C₇	—	4	2	no	—
261	C₄×C₇	C₂×#131	1	1	yes	characteristic
262	C₄×C₇	#568	1	1	yes	characteristic
263	C₄×C₇	#576	1	1	yes	characteristic
264	C₄×C₇	#578	1	1	yes	characteristic
265	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
266	C₂×D₄	—	2	2	no	—
267	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
268	C₂²×C₄	—	2	2	no	—
269	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
270	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
271	C₂²×C₄	C₇×#41	1	1	yes	characteristic
272	Q₁₆	—	4	1	no	—
273	SD₁₆	—	2	4	no	—
274	D₈	—	4	1	no	—
275	M₁₆	—	4	2	no	—
276	M₁₆	—	8	2	no	—
277	C₂×C₈	—	2	2	no	—
278	C₂×C₈	—	2	2	no	—
279	C₂×C₈	—	2	2	no	—
280	C₂×C₈	—	2	2	no	—
281	C₂×C₈	—	4	1	no	—
282	C₂×C₈	—	8	2	no	—
283	C₂×C₈	—	8	2	no	—
284	C₂×C₈	C₂²×C₄×C₇	1	1	yes	characteristic
285	C₂×C₈	C₂²×C₄×C₇	1	1	yes	characteristic
286	C₂×C₈	C₂²×C₄×C₇	1	1	yes	characteristic
287	C₂×C₈	C₂²×C₄×C₇	1	1	yes	characteristic
288	C₂×C₈	C₂×C₇×D₄	1	2	yes	—
289	C₂×C₈	C₂×C₇×D₄	1	2	yes	—
290	C₄⋊C₄	—	2	2	no	—
291	C₄⋊C₄	—	2	2	no	—
292	C₄⋊C₄	—	2	2	no	—
293	C₄⋊C₄	—	2	2	no	—
294	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
295	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
296	C₂²⋊C₄	—	2	2	no	—
297	C₂²⋊C₄	—	2	2	no	—
298	C₂²⋊C₄	—	2	2	no	—
299	C₂²⋊C₄	—	2	2	no	—
300	C₂²⋊C₄	—	2	2	no	—
301	C₄²	—	2	2	no	—
302	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
303	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
304	C₄²	C₇×#41	1	1	yes	characteristic
305	C₄²	C₂⁴×C₇	1	1	yes	characteristic
306	C₂×C₇	—	2	2	no	—
307	C₂×C₇	—	8	2	no	—
308	C₂×C₇	#2935	1	1	yes	characteristic
309	C₂×C₇	#2951	1	1	yes	characteristic
310	C₂×C₇	C₂×#444	1	1	yes	characteristic
311	C₂³	—	2	2	no	—
312	C₂³	C₄×C₇×D₄	1	1	yes	characteristic
313	Q₈	—	2	2	no	—
314	Q₈	—	2	2	no	—
315	D₄	—	2	2	no	—
316	D₄	—	2	2	no	—
317	D₄	—	4	4	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	C₄×C₇×D₄	1	1	yes	characteristic
329	C₂×C₄	C₄×C₇×D₄	1	1	yes	characteristic
330	C₂×C₄	C₄×C₇×D₄	1	1	yes	characteristic
331	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
332	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
333	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
334	C₈	—	2	1	no	—
335	C₈	—	2	1	no	—
336	C₈	—	2	1	no	—
337	C₈	—	2	2	no	—
338	C₈	—	2	2	no	—
339	C₈	—	4	2	no	—
340	C₈	—	4	2	no	—
341	C₈	—	4	2	no	—
342	C₈	C₇×#131	1	2	yes	—
343	C₇	#18092	1	1	yes	characteristic, direct product factor, Sylow
344	C₂²	—	2	1	no	—
345	C₂²	—	2	1	no	—
346	C₂²	—	4	2	no	—
347	C₂²	—	4	2	no	—
348	C₂²	—	4	2	no	—
349	C₂²	C₇×#444	1	2	yes	—
350	C₂²	C₂×C₄×C₇×D₄	1	1	yes	characteristic
351	C₄	—	2	1	no	—
352	C₄	—	2	1	no	—
353	C₄	—	2	1	no	—
354	C₄	—	2	1	no	—
355	C₄	—	4	2	no	—
356	C₄	—	4	2	no	—
357	C₄	—	4	2	no	—
358	C₄	C₂×C₇×#131	1	1	yes	characteristic
359	C₄	C₇×#568	1	1	yes	characteristic
360	C₄	C₇×#576	1	1	yes	characteristic
361	C₄	C₇×#578	1	1	yes	characteristic
362	C₂	—	2	2	no	—
363	C₂	—	8	2	no	—
364	C₂	C₇×#2935	1	1	yes	characteristic
365	C₂	C₇×#2951	1	1	yes	characteristic
366	C₂	C₂×C₇×#444	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₇	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₇
Frattini, cosocle	C₄²	C₂⁴×C₇
socle	C₂²×C₇	C₂×C₄×D₄
prime radical	C₇×#466	C₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₇ ◁ C₇×#431 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₇×#2994	C₂	semidirect
3. C₇×#1592	C₂	semidirect
4. C₇×#1584	C₂	semidirect
5. C₇×#1581	C₂	semidirect
6. C₇×SD₁₆⋊C₈	C₂	semidirect
7. C₂×C₇×#335	C₂	semidirect
8. C₇×#1483	C₂	semidirect
9. C₇×#1451	C₂	semidirect
41. #18092	C₇	direct (N × H)
89. #2994	C₂×C₇	semidirect
90. #1592	C₂×C₇	semidirect
91. #1584	C₂×C₇	semidirect
92. #1581	C₂×C₇	semidirect
93. SD₁₆⋊C₈	C₂×C₇	semidirect
94. C₂×#335	C₂×C₇	semidirect
95. #1483	C₂×C₇	semidirect
96. #1451	C₂×C₇	semidirect
343. C₇	#18092	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×#3168	2
C₇×#2994	2
C₇×#1592	2
C₇×#1584	2
C₇×#1581	2
C₇×SD₁₆⋊C₈	2
C₂×C₇×#335	2
C₇×#1483	2
C₇×#1451	2
#18092	7

Subgroups — C7×#18092 #13195308

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#18092 #13195308