Subgroups — C₇×#60472 #13237688

Order 1792.

2578 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3586	C₂	1	2	yes	maximal, complemented
2	C₂×C₇×#578	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3573	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3069	C₂	1	12	yes	maximal, complemented
5	C₇×#3067	C₂	1	6	yes	maximal, complemented
6	C₂×C₇×#473	C₂	1	6	yes	maximal, complemented
7	C₇×#2916	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#2889	C₂	1	2	yes	maximal, complemented
9	C₇×#585	C₂²	1	1	yes	characteristic
10	C₂×C₇×2₋¹⁺⁴	C₂²	1	2	yes	—
11	C₇×#578	—	2	8	no	—
12	C₇×#578	—	2	4	no	—
13	C₇×#578	—	2	4	no	—
14	C₇×#577	—	2	8	no	—
15	C₇×#575	C₂²	1	12	yes	—
16	C₂×C₇×#137	C₂²	1	12	yes	—
17	C₂×C₇×#137	C₂²	1	6	yes	complemented
18	C₂×C₇×#135	C₂²	1	3	yes	complemented
19	C₂²×C₇×Q₁₆	C₂²	1	3	yes	complemented
20	C₇×#568	—	2	4	no	—
21	C₇×#568	C₂²	1	6	yes	—
22	C₇×#568	C₂²	1	1	yes	characteristic
23	C₇×#568	C₂²	1	2	yes	—
24	C₂×C₇×#131	—	2	4	no	—
25	C₂×C₇×#131	C₂²	1	6	yes	—
26	C₂×C₇×#131	C₂²	1	1	yes	characteristic
27	C₇×#473	C₂²	1	12	yes	complemented
28	C₇×#473	C₂²	1	24	yes	complemented
29	C₇×#472	C₂²	1	4	yes	complemented
30	C₇×#471	C₂²	1	24	yes	complemented
31	C₇×#430	C₂²	1	6	yes	complemented
32	C₂×C₇×#108	C₂²	1	6	yes	complemented
33	C₇×#413	C₂²	1	12	yes	complemented
34	C₂×C₇×#101	C₂²	1	12	yes	complemented
35	#60472	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
36	C₇×2₋¹⁺⁴	—	2	1	no	—
37	C₇×2₋¹⁺⁴	—	2	8	no	—
38	C₇×2₋¹⁺⁴	—	2	8	no	—
39	C₇×2₋¹⁺⁴	D₄	1	4	yes	—
40	C₇×H(5,𝔽₂)	—	2	3	no	—
41	C₇×H(5,𝔽₂)	D₄	1	4	yes	—
42	C₂×C₇×#41	—	2	4	no	—
43	C₂×C₇×#41	—	2	6	no	—
44	C₂×C₇×#41	C₂³	1	6	yes	—
45	C₂×C₇×#41	C₂³	1	6	yes	—
46	C₂×C₇×#41	C₂³	1	1	yes	characteristic
47	C₂²×C₇×Q₈	—	2	2	no	—
48	C₂²×C₇×Q₈	C₂³	1	6	yes	—
49	C₇×#137	—	2	24	no	—
50	C₇×#137	—	2	12	no	—
51	C₇×#137	—	2	24	no	—
52	C₇×#137	C₂³	1	24	yes	—
53	C₇×AGL(1,ℤ/8)	—	2	12	no	—
54	C₇×AGL(1,ℤ/8)	C₂³	1	8	yes	—
55	C₇×#135	—	2	24	no	—
56	C₇×#135	—	2	6	no	—
57	C₇×#135	—	2	6	no	—
58	C₂×C₇×Q₁₆	—	2	12	no	—
59	C₂×C₇×Q₁₆	—	2	6	no	—
60	C₂×C₇×Q₁₆	—	2	6	no	—
61	C₂×C₇×Q₁₆	C₂³	1	3	yes	—
62	C₂×C₇×Q₁₆	C₂³	1	6	yes	—
63	C₂×C₇×SD₁₆	—	2	12	no	—
64	C₂×C₇×SD₁₆	C₂³	1	6	yes	—
65	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
66	C₇×#131	—	2	4	no	—
67	C₇×#131	—	2	8	no	—
68	C₇×#131	—	2	12	no	—
69	C₇×#131	—	2	6	no	—
70	C₇×#131	—	2	6	no	—
71	C₇×#131	D₄	1	4	yes	—
72	C₇×#131	D₄	1	4	yes	—
73	C₇×#131	C₂³	1	12	yes	—
74	C₇×#131	C₂³	1	4	yes	—
75	C₂×C₇×M₁₆	—	2	12	no	—
76	C₂×C₇×M₁₆	—	2	6	no	—
77	C₂×C₇×M₁₆	C₂³	1	6	yes	—
78	C₂×C₇×M₁₆	C₂³	1	12	yes	—
79	C₂×C₇×M₁₆	C₂³	1	3	yes	—
80	C₂²×C₇×C₈	—	2	6	no	—
81	C₂²×C₇×C₈	C₂³	1	3	yes	—
82	C₇×#108	C₂³	1	12	yes	—
83	C₇×#108	C₂³	1	4	yes	—
84	C₇×#101	C₂³	1	24	yes	—
85	C₇×#100	C₂³	1	8	yes	—
86	#3586	C₂×C₇	1	2	yes	complemented
87	C₂×#578	C₂×C₇	1	1	yes	characteristic, complemented
88	#3573	C₂×C₇	1	1	yes	characteristic, complemented
89	#3069	C₂×C₇	1	12	yes	complemented
90	#3067	C₂×C₇	1	6	yes	complemented
91	C₂×#473	C₂×C₇	1	6	yes	complemented
92	#2916	C₂×C₇	1	1	yes	characteristic, complemented
93	#2889	C₂×C₇	1	2	yes	complemented
94	C₇×#41	—	2	4	no	—
95	C₇×#41	—	2	12	no	—
96	C₇×#41	—	2	6	no	—
97	C₇×#41	—	2	6	no	—
98	C₇×#41	—	2	12	no	—
99	C₇×#41	—	2	12	no	—
100	C₇×#41	—	4	24	no	—
101	C₇×#41	C₂×D₄	1	12	yes	—
102	C₇×#41	C₂×D₄	1	4	yes	—
103	C₇×#41	C₂×D₄	1	4	yes	—
104	C₇×#41	C₂⁴	1	4	yes	—
105	C₂×C₇×Q₈	—	2	4	no	—
106	C₂×C₇×Q₈	—	2	6	no	—
107	C₂×C₇×Q₈	—	2	12	no	—
108	C₂×C₇×Q₈	—	2	12	no	—
109	C₂×C₇×Q₈	—	4	8	no	—
110	C₂×C₇×Q₈	C₂×D₄	1	6	yes	—
111	C₂×C₇×Q₈	#41	1	1	yes	characteristic
112	C₂×C₇×Q₈	C₂⁴	1	6	yes	—
113	C₂×C₇×D₄	—	2	6	no	—
114	C₂×C₇×D₄	—	2	12	no	—
115	C₂×C₇×D₄	—	2	6	no	—
116	C₂×C₇×D₄	C₂×D₄	1	6	yes	—
117	C₂×C₇×D₄	#41	1	3	yes	—
118	C₂×C₇×D₄	C₂⁴	1	2	yes	—
119	C₂²×C₄×C₇	—	2	6	no	—
120	C₂²×C₄×C₇	—	2	6	no	—
121	C₂²×C₄×C₇	—	2	6	no	—
122	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
123	C₇×Q₁₆	—	2	24	no	—
124	C₇×Q₁₆	—	2	3	no	—
125	C₇×Q₁₆	—	2	3	no	—
126	C₇×Q₁₆	—	2	12	no	—
127	C₇×SD₁₆	—	2	8	no	—
128	C₇×SD₁₆	—	2	24	no	—
129	C₇×SD₁₆	—	2	12	no	—
130	C₇×D₈	—	2	8	no	—
131	C₇×D₈	—	2	1	no	—
132	C₇×D₈	—	2	1	no	—
133	C₇×M₁₆	—	2	6	no	—
134	C₇×M₁₆	—	2	12	no	—
135	C₇×M₁₆	—	2	12	no	—
136	C₇×M₁₆	—	2	4	no	—
137	C₇×M₁₆	C₂×D₄	1	12	yes	—
138	C₇×M₁₆	C₂⁴	1	4	yes	—
139	C₇×M₁₆	C₂⁴	1	8	yes	—
140	C₂×C₇×C₈	—	2	6	no	—
141	C₂×C₇×C₈	—	2	12	no	—
142	C₂×C₇×C₈	—	2	4	no	—
143	C₂×C₇×C₈	—	2	12	no	—
144	C₂×C₇×C₈	C₂×D₄	1	6	yes	—
145	C₂×C₇×C₈	C₂×D₄	1	6	yes	—
146	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
147	C₂×C₇×C₈	C₂⁴	1	3	yes	—
148	#585	C₂²×C₇	1	1	yes	characteristic
149	C₂×2₋¹⁺⁴	C₂²×C₇	1	2	yes	—
150	#578	—	2	8	no	—
151	#578	—	2	4	no	—
152	#578	—	2	4	no	—
153	#577	—	2	8	no	—
154	#575	C₂²×C₇	1	12	yes	—
155	C₂×#137	C₂²×C₇	1	12	yes	—
156	C₂×#137	C₂²×C₇	1	6	yes	complemented
157	C₂×#135	C₂²×C₇	1	3	yes	complemented
158	C₂²×Q₁₆	C₂²×C₇	1	3	yes	complemented
159	#568	—	2	4	no	—
160	#568	C₂²×C₇	1	6	yes	—
161	#568	C₂²×C₇	1	2	yes	—
162	#568	C₂²×C₇	1	1	yes	characteristic
163	C₂×#131	—	2	4	no	—
164	C₂×#131	C₂²×C₇	1	6	yes	—
165	C₂×#131	C₂²×C₇	1	1	yes	characteristic
166	#473	C₂²×C₇	1	12	yes	complemented
167	#473	C₂²×C₇	1	24	yes	complemented
168	#472	C₂²×C₇	1	4	yes	complemented
169	#471	C₂²×C₇	1	24	yes	complemented
170	#430	C₂²×C₇	1	6	yes	complemented
171	C₂×#108	C₂²×C₇	1	6	yes	complemented
172	#413	C₂²×C₇	1	12	yes	complemented
173	C₂×#101	C₂²×C₇	1	12	yes	complemented
174	C₂³×C₇	—	2	6	no	—
175	C₂³×C₇	—	2	2	no	—
176	C₂³×C₇	C₂×#41	1	3	yes	—
177	C₇×Q₈	—	2	6	no	—
178	C₇×Q₈	—	2	6	no	—
179	C₇×Q₈	—	2	6	no	—
180	C₇×Q₈	—	4	12	no	—
181	C₇×Q₈	#121	1	4	yes	—
182	C₇×Q₈	C₂²×D₄	1	4	yes	—
183	C₇×D₄	—	2	12	no	—
184	C₇×D₄	—	2	4	no	—
185	C₇×D₄	—	2	6	no	—
186	C₇×D₄	—	2	2	no	—
187	C₇×D₄	—	2	2	no	—
188	C₇×D₄	—	4	12	no	—
189	C₇×D₄	#121	1	12	yes	—
190	C₇×D₄	C₂²×D₄	1	4	yes	—
191	C₂×C₄×C₇	—	2	6	no	—
192	C₂×C₄×C₇	—	2	12	no	—
193	C₂×C₄×C₇	—	2	4	no	—
194	C₂×C₄×C₇	—	2	6	no	—
195	C₂×C₄×C₇	—	4	12	no	—
196	C₂×C₄×C₇	—	4	12	no	—
197	C₂×C₄×C₇	C₂²×D₄	1	6	yes	—
198	C₂×C₄×C₇	C₂²×D₄	1	6	yes	—
199	C₂×C₄×C₇	C₂×#41	1	3	yes	—
200	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
201	C₇×C₈	—	2	4	no	—
202	C₇×C₈	—	2	8	no	—
203	C₇×C₈	C₂²×D₄	1	1	yes	characteristic
204	C₇×C₈	C₂²×D₄	1	6	yes	—
205	C₇×C₈	C₂²×D₄	1	1	yes	characteristic
206	2₋¹⁺⁴	—	2	1	no	—
207	2₋¹⁺⁴	—	2	8	no	—
208	2₋¹⁺⁴	—	2	8	no	—
209	2₋¹⁺⁴	C₇×D₄	1	4	yes	—
210	H(5,𝔽₂)	—	2	3	no	—
211	H(5,𝔽₂)	C₇×D₄	1	4	yes	—
212	C₂×#41	—	2	4	no	—
213	C₂×#41	—	2	6	no	—
214	C₂×#41	C₂³×C₇	1	6	yes	—
215	C₂×#41	C₂³×C₇	1	6	yes	—
216	C₂×#41	C₂³×C₇	1	1	yes	characteristic
217	C₂²×Q₈	—	2	2	no	—
218	C₂²×Q₈	C₂³×C₇	1	6	yes	—
219	#137	—	2	24	no	—
220	#137	—	2	12	no	—
221	#137	—	2	24	no	—
222	#137	C₂³×C₇	1	24	yes	—
223	AGL(1,ℤ/8)	—	2	12	no	—
224	AGL(1,ℤ/8)	C₂³×C₇	1	8	yes	—
225	#135	—	2	24	no	—
226	#135	—	2	6	no	—
227	#135	—	2	6	no	—
228	C₂×Q₁₆	—	2	12	no	—
229	C₂×Q₁₆	—	2	6	no	—
230	C₂×Q₁₆	—	2	6	no	—
231	C₂×Q₁₆	C₂³×C₇	1	3	yes	—
232	C₂×Q₁₆	C₂³×C₇	1	6	yes	—
233	C₂×SD₁₆	—	2	12	no	—
234	C₂×SD₁₆	C₂³×C₇	1	6	yes	—
235	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
236	#131	—	2	4	no	—
237	#131	—	2	8	no	—
238	#131	—	2	12	no	—
239	#131	—	2	6	no	—
240	#131	—	2	6	no	—
241	#131	C₇×D₄	1	4	yes	—
242	#131	C₇×D₄	1	4	yes	—
243	#131	C₂³×C₇	1	4	yes	—
244	#131	C₂³×C₇	1	12	yes	—
245	C₂×M₁₆	—	2	12	no	—
246	C₂×M₁₆	—	2	6	no	—
247	C₂×M₁₆	C₂³×C₇	1	6	yes	—
248	C₂×M₁₆	C₂³×C₇	1	12	yes	—
249	C₂×M₁₆	C₂³×C₇	1	3	yes	—
250	C₂²×C₈	—	2	6	no	—
251	C₂²×C₈	C₂³×C₇	1	3	yes	—
252	#108	C₂³×C₇	1	4	yes	—
253	#108	C₂³×C₇	1	12	yes	—
254	#101	C₂³×C₇	1	24	yes	—
255	#100	C₂³×C₇	1	8	yes	—
256	C₂²×C₇	—	2	4	no	—
257	C₂²×C₇	—	4	3	no	—
258	C₂²×C₇	—	4	2	no	—
259	C₂²×C₇	—	8	6	no	—
260	C₂²×C₇	—	8	2	no	—
261	C₂²×C₇	C₂×#121	1	6	yes	—
262	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
263	C₄×C₇	—	2	4	no	—
264	C₄×C₇	—	4	6	no	—
265	C₄×C₇	C₂×#121	1	6	yes	—
266	C₄×C₇	C₂³×D₄	1	1	yes	characteristic
267	C₄×C₇	C₂³×D₄	1	1	yes	characteristic
268	#41	—	2	4	no	—
269	#41	—	2	12	no	—
270	#41	—	2	6	no	—
271	#41	—	2	6	no	—
272	#41	—	2	12	no	—
273	#41	—	2	12	no	—
274	#41	—	4	24	no	—
275	#41	C₂×C₇×D₄	1	12	yes	—
276	#41	C₂×C₇×D₄	1	4	yes	—
277	#41	C₂×C₇×D₄	1	4	yes	—
278	#41	C₂⁴×C₇	1	4	yes	—
279	C₂×Q₈	—	2	4	no	—
280	C₂×Q₈	—	2	6	no	—
281	C₂×Q₈	—	2	12	no	—
282	C₂×Q₈	—	2	12	no	—
283	C₂×Q₈	—	4	8	no	—
284	C₂×Q₈	C₂×C₇×D₄	1	6	yes	—
285	C₂×Q₈	C₇×#41	1	1	yes	characteristic
286	C₂×Q₈	C₂⁴×C₇	1	6	yes	—
287	C₂×D₄	—	2	6	no	—
288	C₂×D₄	—	2	12	no	—
289	C₂×D₄	—	2	6	no	—
290	C₂×D₄	C₂×C₇×D₄	1	6	yes	—
291	C₂×D₄	C₇×#41	1	3	yes	—
292	C₂×D₄	C₂⁴×C₇	1	2	yes	—
293	C₂²×C₄	—	2	6	no	—
294	C₂²×C₄	—	2	6	no	—
295	C₂²×C₄	—	2	6	no	—
296	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
297	Q₁₆	—	2	24	no	—
298	Q₁₆	—	2	3	no	—
299	Q₁₆	—	2	3	no	—
300	Q₁₆	—	2	12	no	—
301	SD₁₆	—	2	8	no	—
302	SD₁₆	—	2	24	no	—
303	SD₁₆	—	2	12	no	—
304	D₈	—	2	8	no	—
305	D₈	—	2	1	no	—
306	D₈	—	2	1	no	—
307	M₁₆	—	2	6	no	—
308	M₁₆	—	2	12	no	—
309	M₁₆	—	2	12	no	—
310	M₁₆	—	2	4	no	—
311	M₁₆	C₂×C₇×D₄	1	12	yes	—
312	M₁₆	C₂⁴×C₇	1	4	yes	—
313	M₁₆	C₂⁴×C₇	1	8	yes	—
314	C₂×C₈	—	2	6	no	—
315	C₂×C₈	—	2	12	no	—
316	C₂×C₈	—	2	4	no	—
317	C₂×C₈	—	2	12	no	—
318	C₂×C₈	C₂×C₇×D₄	1	6	yes	—
319	C₂×C₈	C₂×C₇×D₄	1	6	yes	—
320	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
321	C₂×C₈	C₂⁴×C₇	1	3	yes	—
322	C₂×C₇	—	2	1	no	—
323	C₂×C₇	—	2	6	no	—
324	C₂×C₇	—	4	4	no	—
325	C₂×C₇	—	8	2	no	—
326	C₂×C₇	C₂²×#121	1	1	yes	characteristic
327	C₂³	—	2	6	no	—
328	C₂³	—	2	2	no	—
329	C₂³	C₂×C₇×#41	1	3	yes	—
330	Q₈	—	2	6	no	—
331	Q₈	—	2	6	no	—
332	Q₈	—	2	6	no	—
333	Q₈	—	4	12	no	—
334	Q₈	C₇×#121	1	4	yes	—
335	Q₈	C₂²×C₇×D₄	1	4	yes	—
336	D₄	—	2	4	no	—
337	D₄	—	2	12	no	—
338	D₄	—	2	2	no	—
339	D₄	—	2	2	no	—
340	D₄	—	2	6	no	—
341	D₄	—	4	12	no	—
342	D₄	C₇×#121	1	12	yes	—
343	D₄	C₂²×C₇×D₄	1	4	yes	—
344	C₂×C₄	—	2	6	no	—
345	C₂×C₄	—	2	4	no	—
346	C₂×C₄	—	2	12	no	—
347	C₂×C₄	—	2	6	no	—
348	C₂×C₄	—	4	12	no	—
349	C₂×C₄	—	4	12	no	—
350	C₂×C₄	C₂²×C₇×D₄	1	6	yes	—
351	C₂×C₄	C₂²×C₇×D₄	1	6	yes	—
352	C₂×C₄	C₂×C₇×#41	1	3	yes	—
353	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
354	C₈	—	2	4	no	—
355	C₈	—	2	8	no	—
356	C₈	C₂²×C₇×D₄	1	1	yes	characteristic
357	C₈	C₂²×C₇×D₄	1	6	yes	—
358	C₈	C₂²×C₇×D₄	1	1	yes	characteristic
359	C₇	#60472	1	1	yes	characteristic, direct product factor, Sylow
360	C₂²	—	2	4	no	—
361	C₂²	—	4	3	no	—
362	C₂²	—	4	2	no	—
363	C₂²	—	8	6	no	—
364	C₂²	—	8	2	no	—
365	C₂²	C₂×C₇×#121	1	6	yes	—
366	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
367	C₄	—	2	4	no	—
368	C₄	—	4	6	no	—
369	C₄	C₂×C₇×#121	1	6	yes	—
370	C₄	C₂³×C₇×D₄	1	1	yes	characteristic
371	C₄	C₂³×C₇×D₄	1	1	yes	characteristic
372	C₂	—	2	1	no	—
373	C₂	—	2	6	no	—
374	C₂	—	4	4	no	—
375	C₂	—	8	2	no	—
376	C₂	C₂²×C₇×#121	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂×C₇	C₂²×#121
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₇ ◁ C₂×C₇×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3586	C₂	semidirect
2. C₂×C₇×#578	C₂	semidirect
3. C₇×#3573	C₂	semidirect
4. C₇×#3069	C₂	semidirect
5. C₇×#3067	C₂	semidirect
6. C₂×C₇×#473	C₂	semidirect
7. C₇×#2916	C₂	semidirect
8. C₇×#2889	C₂	semidirect
17. C₂×C₇×#137	C₂²	semidirect
18. C₂×C₇×#135	C₂²	semidirect
19. C₂²×C₇×Q₁₆	C₂²	semidirect
27. C₇×#473	C₂²	semidirect
28. C₇×#473	C₂²	semidirect
29. C₇×#472	C₂²	semidirect
30. C₇×#471	C₂²	semidirect
31. C₇×#430	C₂²	semidirect
32. C₂×C₇×#108	C₂²	semidirect
33. C₇×#413	C₂²	semidirect
34. C₂×C₇×#101	C₂²	semidirect
35. #60472	C₇	direct (N × H)
86. #3586	C₂×C₇	semidirect
87. C₂×#578	C₂×C₇	semidirect
88. #3573	C₂×C₇	semidirect
89. #3069	C₂×C₇	semidirect
90. #3067	C₂×C₇	semidirect
91. C₂×#473	C₂×C₇	semidirect
92. #2916	C₂×C₇	semidirect
93. #2889	C₂×C₇	semidirect
156. C₂×#137	C₂²×C₇	semidirect
157. C₂×#135	C₂²×C₇	semidirect
158. C₂²×Q₁₆	C₂²×C₇	semidirect
166. #473	C₂²×C₇	semidirect
167. #473	C₂²×C₇	semidirect
168. #472	C₂²×C₇	semidirect
169. #471	C₂²×C₇	semidirect
170. #430	C₂²×C₇	semidirect
171. C₂×#108	C₂²×C₇	semidirect
172. #413	C₂²×C₇	semidirect
173. C₂×#101	C₂²×C₇	semidirect
359. C₇	#60472	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×#3586	2
C₂×C₇×#578	2
C₇×#3573	2
C₇×#3069	2
C₇×#3067	2
C₂×C₇×#473	2
C₇×#2916	2
C₇×#2889	2
#60472	7

Subgroups — C7×#60472 #13237688

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60472 #13237688