Subgroups — C₂×C₇×#3177 #13237897

Order 1792.

1842 conjugacy classes of subgroups.

The subgroup lattice has 346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#541	C₂	1	2	yes	maximal
2	C₇×#3177	C₂	1	16	yes	maximal, direct product factor
3	C₂×C₇×#499	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₇×#494	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₇×#491	C₂	1	2	yes	maximal, complemented
6	C₂×C₇×#470	C₂	1	2	yes	maximal
7	C₂×C₇×#467	C₂	1	2	yes	maximal
8	C₂×C₇×#441	C₂	1	2	yes	maximal, complemented
9	C₂×C₄×C₇×Q₁₆	C₂	1	2	yes	maximal, complemented
10	C₂×C₇×#405	C₂	1	1	yes	maximal, characteristic
11	C₂²×C₇×Q₁₆	C₂²	1	2	yes	—
12	C₂²×C₇×Q₁₆	C₂²	1	2	yes	—
13	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic
14	C₂³×C₇×C₈	C₂²	1	1	yes	characteristic
15	C₇×#541	—	2	8	no	—
16	C₇×#541	C₂²	1	16	yes	—
17	C₂×C₇×C₄⋊Q₈	C₂²	1	2	yes	—
18	C₂×C₇×#126	—	2	4	no	—
19	C₂×C₇×#125	—	2	4	no	—
20	C₂×C₇×#125	C₂²	1	2	yes	—
21	C₂×C₇×C₂²⋊Q₈	C₂²	1	4	yes	—
22	C₂×C₄×C₇×Q₈	C₂²	1	4	yes	—
23	C₂×C₇×#117	C₂²	1	1	yes	characteristic
24	C₇×#499	C₂²	1	8	yes	complemented
25	C₇×#494	C₂²	1	8	yes	complemented
26	C₇×#491	C₂²	1	16	yes	complemented
27	C₇×#470	C₂²	1	16	yes	—
28	C₇×#467	C₂²	1	16	yes	—
29	C₇×#441	C₂²	1	16	yes	complemented
30	C₄×C₇×Q₁₆	C₂²	1	16	yes	complemented
31	C₂×C₇×#107	C₂²	1	2	yes	—
32	C₂×C₇×#106	C₂²	1	2	yes	—
33	C₂×C₇×#103	C₂²	1	4	yes	—
34	C₂×C₇×#103	C₂²	1	4	yes	—
35	C₇×#405	C₂²	1	8	yes	—
36	C₂×C₇×#97	C₂²	1	1	yes	characteristic
37	C₂×C₇×#97	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₇×C₈	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₇×C₈	C₂²	1	1	yes	characteristic
40	C₂×#3177	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
41	C₂²×C₇×Q₈	C₂³	1	4	yes	—
42	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
43	C₂×C₇×Q₁₆	—	2	8	no	—
44	C₂×C₇×Q₁₆	—	2	8	no	—
45	C₂×C₇×Q₁₆	C₂³	1	8	yes	—
46	C₂×C₇×Q₁₆	C₂³	1	8	yes	—
47	C₂×C₇×M₁₆	—	2	4	no	—
48	C₂×C₇×M₁₆	C₂³	1	4	yes	—
49	C₂²×C₇×C₈	—	2	4	no	—
50	C₂²×C₇×C₈	C₂³	1	4	yes	—
51	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
52	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
53	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
54	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
55	C₇×C₄⋊Q₈	—	2	4	no	—
56	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
57	C₇×#126	—	2	32	no	—
58	C₇×#125	—	2	32	no	—
59	C₇×#125	—	2	4	no	—
60	C₇×#125	C₂³	1	8	yes	—
61	C₇×C₂²⋊Q₈	—	2	8	no	—
62	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
63	C₄×C₇×Q₈	—	2	8	no	—
64	C₄×C₇×Q₈	C₂³	1	16	yes	—
65	C₇×#117	D₄	1	4	yes	—
66	C₇×#117	C₂³	1	4	yes	—
67	C₂×C₇×C₄⋊C₄	—	2	4	no	—
68	C₂×C₇×C₄⋊C₄	—	2	4	no	—
69	C₂×C₇×C₄⋊C₄	—	2	4	no	—
70	C₂×C₇×C₄⋊C₄	—	2	4	no	—
71	C₂×C₇×C₄⋊C₄	D₄	1	2	yes	—
72	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
73	C₂×C₇×C₂²⋊C₄	—	2	4	no	—
74	C₂×C₇×C₂²⋊C₄	D₄	1	2	yes	—
75	C₂×C₄²×C₇	—	2	4	no	—
76	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
77	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
78	C₇×#107	C₂³	1	8	yes	—
79	C₇×#106	C₂³	1	8	yes	—
80	C₇×#103	C₂³	1	16	yes	—
81	C₇×#103	C₂³	1	16	yes	—
82	C₇×#97	C₂³	1	4	yes	—
83	C₇×#97	C₂³	1	4	yes	—
84	C₄×C₇×C₈	C₂³	1	4	yes	—
85	C₄×C₇×C₈	C₂³	1	4	yes	—
86	C₂×#541	C₂×C₇	1	2	yes	—
87	#3177	C₂×C₇	1	16	yes	direct product factor
88	C₂×#499	C₂×C₇	1	1	yes	characteristic, complemented
89	C₂×#494	C₂×C₇	1	1	yes	characteristic, complemented
90	C₂×#491	C₂×C₇	1	2	yes	complemented
91	C₂×#470	C₂×C₇	1	2	yes	—
92	C₂×#467	C₂×C₇	1	2	yes	—
93	C₂×#441	C₂×C₇	1	2	yes	complemented
94	C₂×C₄×Q₁₆	C₂×C₇	1	2	yes	complemented
95	C₂×#405	C₂×C₇	1	1	yes	characteristic
96	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
97	C₂×C₇×Q₈	—	2	4	no	—
98	C₂×C₇×Q₈	—	2	8	no	—
99	C₂×C₇×Q₈	—	2	8	no	—
100	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
101	C₂²×C₄×C₇	—	2	2	no	—
102	C₂²×C₄×C₇	—	2	2	no	—
103	C₂²×C₄×C₇	—	2	4	no	—
104	C₂²×C₄×C₇	—	2	4	no	—
105	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
106	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
107	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
108	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
109	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
110	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
111	C₇×Q₁₆	—	2	16	no	—
112	C₇×Q₁₆	—	2	16	no	—
113	C₇×M₁₆	—	2	8	no	—
114	C₂×C₇×C₈	—	2	2	no	—
115	C₂×C₇×C₈	—	2	2	no	—
116	C₂×C₇×C₈	—	2	8	no	—
117	C₂×C₇×C₈	#41	1	4	yes	—
118	C₂×C₇×C₈	#41	1	4	yes	—
119	C₂×C₇×C₈	C₂⁴	1	2	yes	—
120	C₂×C₇×C₈	C₂⁴	1	2	yes	—
121	C₂×C₇×C₈	C₂⁴	1	2	yes	—
122	C₂×C₇×C₈	C₂⁴	1	2	yes	—
123	C₇×C₄⋊C₄	—	2	16	no	—
124	C₇×C₄⋊C₄	—	2	16	no	—
125	C₇×C₄⋊C₄	—	2	16	no	—
126	C₇×C₄⋊C₄	—	2	16	no	—
127	C₇×C₄⋊C₄	—	2	4	no	—
128	C₇×C₄⋊C₄	C₂×D₄	1	8	yes	—
129	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
130	C₇×C₂²⋊C₄	—	2	16	no	—
131	C₇×C₂²⋊C₄	C₂×D₄	1	8	yes	—
132	C₄²×C₇	—	2	16	no	—
133	C₄²×C₇	C₂×D₄	1	2	yes	—
134	C₄²×C₇	C₂×D₄	1	2	yes	—
135	C₄²×C₇	C₂⁴	1	2	yes	—
136	C₄²×C₇	C₂⁴	1	2	yes	—
137	C₂²×Q₁₆	C₂²×C₇	1	2	yes	—
138	C₂²×Q₁₆	C₂²×C₇	1	2	yes	—
139	C₂²×M₁₆	C₂²×C₇	1	1	yes	characteristic
140	C₂³×C₈	C₂²×C₇	1	1	yes	characteristic
141	#541	—	2	8	no	—
142	#541	C₂²×C₇	1	16	yes	—
143	C₂×C₄⋊Q₈	C₂²×C₇	1	2	yes	—
144	C₂×#126	—	2	4	no	—
145	C₂×#125	—	2	4	no	—
146	C₂×#125	C₂²×C₇	1	2	yes	—
147	C₂×C₂²⋊Q₈	C₂²×C₇	1	4	yes	—
148	C₂×C₄×Q₈	C₂²×C₇	1	4	yes	—
149	C₂×#117	C₂²×C₇	1	1	yes	characteristic
150	#499	C₂²×C₇	1	8	yes	complemented
151	#494	C₂²×C₇	1	8	yes	complemented
152	#491	C₂²×C₇	1	16	yes	complemented
153	#470	C₂²×C₇	1	16	yes	—
154	#467	C₂²×C₇	1	16	yes	—
155	#441	C₂²×C₇	1	16	yes	complemented
156	C₄×Q₁₆	C₂²×C₇	1	16	yes	complemented
157	C₂×#107	C₂²×C₇	1	2	yes	—
158	C₂×#106	C₂²×C₇	1	2	yes	—
159	C₂×#103	C₂²×C₇	1	4	yes	—
160	C₂×#103	C₂²×C₇	1	4	yes	—
161	#405	C₂²×C₇	1	8	yes	—
162	C₂×#97	C₂²×C₇	1	1	yes	characteristic
163	C₂×#97	C₂²×C₇	1	1	yes	characteristic
164	C₂×C₄×C₈	C₂²×C₇	1	1	yes	characteristic
165	C₂×C₄×C₈	C₂²×C₇	1	1	yes	characteristic
166	C₂³×C₇	—	2	2	no	—
167	C₂³×C₇	—	2	4	no	—
168	C₂³×C₇	C₂²×D₄	1	2	yes	—
169	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
170	C₇×Q₈	—	2	8	no	—
171	C₇×Q₈	—	2	8	no	—
172	C₇×Q₈	—	4	8	no	—
173	C₂×C₄×C₇	—	2	2	no	—
174	C₂×C₄×C₇	—	2	4	no	—
175	C₂×C₄×C₇	—	2	4	no	—
176	C₂×C₄×C₇	—	2	4	no	—
177	C₂×C₄×C₇	—	2	2	no	—
178	C₂×C₄×C₇	—	2	2	no	—
179	C₂×C₄×C₇	—	2	8	no	—
180	C₂×C₄×C₇	—	2	8	no	—
181	C₂×C₄×C₇	—	4	8	no	—
182	C₂×C₄×C₇	—	4	8	no	—
183	C₂×C₄×C₇	C₂²×D₄	1	4	yes	—
184	C₂×C₄×C₇	C₂²×D₄	1	4	yes	—
185	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
186	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
187	C₂×C₄×C₇	C₂×#41	1	2	yes	—
188	C₂×C₄×C₇	C₂×#41	1	2	yes	—
189	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
190	C₇×C₈	—	2	2	no	—
191	C₇×C₈	—	2	2	no	—
192	C₇×C₈	C₂×#41	1	4	yes	—
193	C₇×C₈	C₂×#41	1	4	yes	—
194	C₂²×Q₈	C₂³×C₇	1	4	yes	—
195	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
196	C₂×Q₁₆	—	2	8	no	—
197	C₂×Q₁₆	—	2	8	no	—
198	C₂×Q₁₆	C₂³×C₇	1	8	yes	—
199	C₂×Q₁₆	C₂³×C₇	1	8	yes	—
200	C₂×M₁₆	—	2	4	no	—
201	C₂×M₁₆	C₂³×C₇	1	4	yes	—
202	C₂²×C₈	—	2	4	no	—
203	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
204	C₂²×C₈	C₂³×C₇	1	4	yes	—
205	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
206	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
207	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
208	C₄⋊Q₈	—	2	4	no	—
209	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
210	#126	—	2	32	no	—
211	#125	—	2	32	no	—
212	#125	—	2	4	no	—
213	#125	C₂³×C₇	1	8	yes	—
214	C₂²⋊Q₈	—	2	8	no	—
215	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
216	C₄×Q₈	—	2	8	no	—
217	C₄×Q₈	C₂³×C₇	1	16	yes	—
218	#117	C₇×D₄	1	4	yes	—
219	#117	C₂³×C₇	1	4	yes	—
220	C₂×C₄⋊C₄	—	2	4	no	—
221	C₂×C₄⋊C₄	—	2	4	no	—
222	C₂×C₄⋊C₄	—	2	4	no	—
223	C₂×C₄⋊C₄	—	2	4	no	—
224	C₂×C₄⋊C₄	C₇×D₄	1	2	yes	—
225	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
226	C₂×C₂²⋊C₄	—	2	4	no	—
227	C₂×C₂²⋊C₄	C₇×D₄	1	2	yes	—
228	C₂×C₄²	—	2	4	no	—
229	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
230	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
231	#107	C₂³×C₇	1	8	yes	—
232	#106	C₂³×C₇	1	8	yes	—
233	#103	C₂³×C₇	1	16	yes	—
234	#103	C₂³×C₇	1	16	yes	—
235	#97	C₂³×C₇	1	4	yes	—
236	#97	C₂³×C₇	1	4	yes	—
237	C₄×C₈	C₂³×C₇	1	4	yes	—
238	C₄×C₈	C₂³×C₇	1	4	yes	—
239	C₂²×C₇	—	2	2	no	—
240	C₂²×C₇	—	2	4	no	—
241	C₂²×C₇	—	4	4	no	—
242	C₂²×C₇	#532	1	2	yes	—
243	C₂²×C₇	#578	1	4	yes	—
244	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
245	C₄×C₇	—	2	2	no	—
246	C₄×C₇	—	2	4	no	—
247	C₄×C₇	—	2	4	no	—
248	C₄×C₇	—	4	8	no	—
249	C₄×C₇	—	4	8	no	—
250	C₄×C₇	#532	1	2	yes	—
251	C₄×C₇	C₂²×#41	1	1	yes	characteristic
252	C₄×C₇	C₂²×#41	1	1	yes	characteristic
253	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
254	C₂×Q₈	—	2	4	no	—
255	C₂×Q₈	—	2	8	no	—
256	C₂×Q₈	—	2	8	no	—
257	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
258	C₂²×C₄	—	2	2	no	—
259	C₂²×C₄	—	2	2	no	—
260	C₂²×C₄	—	2	4	no	—
261	C₂²×C₄	—	2	4	no	—
262	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
263	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
264	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
265	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
266	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
267	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
268	Q₁₆	—	2	16	no	—
269	Q₁₆	—	2	16	no	—
270	M₁₆	—	2	8	no	—
271	C₂×C₈	—	2	2	no	—
272	C₂×C₈	—	2	2	no	—
273	C₂×C₈	—	2	8	no	—
274	C₂×C₈	C₇×#41	1	4	yes	—
275	C₂×C₈	C₇×#41	1	4	yes	—
276	C₂×C₈	C₂⁴×C₇	1	2	yes	—
277	C₂×C₈	C₂⁴×C₇	1	2	yes	—
278	C₂×C₈	C₂⁴×C₇	1	2	yes	—
279	C₂×C₈	C₂⁴×C₇	1	2	yes	—
280	C₄⋊C₄	—	2	16	no	—
281	C₄⋊C₄	—	2	16	no	—
282	C₄⋊C₄	—	2	16	no	—
283	C₄⋊C₄	—	2	16	no	—
284	C₄⋊C₄	—	2	4	no	—
285	C₄⋊C₄	C₂×C₇×D₄	1	8	yes	—
286	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
287	C₂²⋊C₄	—	2	16	no	—
288	C₂²⋊C₄	C₂×C₇×D₄	1	8	yes	—
289	C₄²	—	2	16	no	—
290	C₄²	C₂×C₇×D₄	1	2	yes	—
291	C₄²	C₂×C₇×D₄	1	2	yes	—
292	C₄²	C₂⁴×C₇	1	2	yes	—
293	C₄²	C₂⁴×C₇	1	2	yes	—
294	C₂×C₇	—	4	2	no	—
295	C₂×C₇	#3177	1	4	yes	direct product factor
296	C₂×C₇	C₂×#532	1	1	yes	characteristic
297	C₂×C₇	C₂×#578	1	2	yes	—
298	C₂³	—	2	2	no	—
299	C₂³	—	2	4	no	—
300	C₂³	C₂²×C₇×D₄	1	2	yes	—
301	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
302	Q₈	—	2	8	no	—
303	Q₈	—	2	8	no	—
304	Q₈	—	4	8	no	—
305	C₂×C₄	—	2	2	no	—
306	C₂×C₄	—	2	4	no	—
307	C₂×C₄	—	2	4	no	—
308	C₂×C₄	—	2	2	no	—
309	C₂×C₄	—	2	2	no	—
310	C₂×C₄	—	2	4	no	—
311	C₂×C₄	—	2	8	no	—
312	C₂×C₄	—	2	8	no	—
313	C₂×C₄	—	4	8	no	—
314	C₂×C₄	—	4	8	no	—
315	C₂×C₄	C₂²×C₇×D₄	1	4	yes	—
316	C₂×C₄	C₂²×C₇×D₄	1	4	yes	—
317	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
318	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
319	C₂×C₄	C₂×C₇×#41	1	2	yes	—
320	C₂×C₄	C₂×C₇×#41	1	2	yes	—
321	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
322	C₈	—	2	2	no	—
323	C₈	—	2	2	no	—
324	C₈	C₂×C₇×#41	1	4	yes	—
325	C₈	C₂×C₇×#41	1	4	yes	—
326	C₇	C₂×#3177	1	1	yes	characteristic, direct product factor, Sylow
327	C₂²	—	2	4	no	—
328	C₂²	—	2	2	no	—
329	C₂²	—	4	4	no	—
330	C₂²	C₇×#532	1	2	yes	—
331	C₂²	C₇×#578	1	4	yes	—
332	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
333	C₄	—	2	4	no	—
334	C₄	—	2	4	no	—
335	C₄	—	2	2	no	—
336	C₄	—	4	8	no	—
337	C₄	—	4	8	no	—
338	C₄	C₇×#532	1	2	yes	—
339	C₄	C₂²×C₇×#41	1	1	yes	characteristic
340	C₄	C₂²×C₇×#41	1	1	yes	characteristic
341	C₂	—	4	2	no	—
342	C₂	C₇×#3177	1	4	yes	direct product factor
343	C₂	C₂×C₇×#532	1	1	yes	characteristic
344	C₂	C₂×C₇×#578	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₇	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
prime radical	C₂⁴×C₇	C₂×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₇ ◁ C₂×C₇×#117 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₇×#3177	C₂	direct (N × H)
3. C₂×C₇×#499	C₂	semidirect
4. C₂×C₇×#494	C₂	semidirect
5. C₂×C₇×#491	C₂	semidirect
8. C₂×C₇×#441	C₂	semidirect
9. C₂×C₄×C₇×Q₁₆	C₂	semidirect
24. C₇×#499	C₂²	semidirect
25. C₇×#494	C₂²	semidirect
26. C₇×#491	C₂²	semidirect
29. C₇×#441	C₂²	semidirect
30. C₄×C₇×Q₁₆	C₂²	semidirect
40. C₂×#3177	C₇	direct (N × H)
87. #3177	C₂×C₇	direct (N × H)
88. C₂×#499	C₂×C₇	semidirect
89. C₂×#494	C₂×C₇	semidirect
90. C₂×#491	C₂×C₇	semidirect
93. C₂×#441	C₂×C₇	semidirect
94. C₂×C₄×Q₁₆	C₂×C₇	semidirect
150. #499	C₂²×C₇	semidirect
151. #494	C₂²×C₇	semidirect
152. #491	C₂²×C₇	semidirect
155. #441	C₂²×C₇	semidirect
156. C₄×Q₁₆	C₂²×C₇	semidirect
295. C₂×C₇	#3177	direct (N × H)
326. C₇	C₂×#3177	direct (N × H)
342. C₂	C₇×#3177	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₇×#541	2
C₇×#3177	2
C₂×C₇×#499	2
C₂×C₇×#494	2
C₂×C₇×#491	2
C₂×C₇×#470	2
C₂×C₇×#467	2
C₂×C₇×#441	2
C₂×C₄×C₇×Q₁₆	2
C₂×C₇×#405	2
C₂×#3177	7

Subgroups — C2×C7×#3177 #13237897

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₇×#3177 #13237897