Subgroups — C₇×#21177 #13198393

Order 1792.

906 conjugacy classes of subgroups.

The subgroup lattice has 356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#430	C₂	1	2	yes	maximal
2	C₂×C₇×#423	C₂	1	1	yes	maximal, characteristic
3	C₂×C₇×#423	C₂	1	1	yes	maximal, characteristic
4	C₂×C₄×C₇×M₁₆	C₂	1	1	yes	maximal, characteristic
5	C₇×#1950	C₂	1	8	yes	maximal, complemented
6	C₇×#1738	C₂	1	2	yes	maximal
7	C₂²×C₇×M₁₆	C₂²	1	2	yes	—
8	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic
9	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic
10	C₂²×C₇×M₁₆	C₂²	1	2	yes	—
11	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
12	C₇×#430	—	2	8	no	—
13	C₂×C₇×#108	C₂²	1	8	yes	—
14	C₇×#423	—	2	1	no	—
15	C₇×#423	—	2	1	no	—
16	C₇×#423	C₄	1	2	yes	—
17	C₇×#423	C₄	1	4	yes	—
18	C₇×#423	C₄	1	2	yes	—
19	C₇×#423	C₂²	1	4	yes	—
20	C₂×C₇×C₄⋊C₈	—	2	2	no	—
21	C₂×C₇×C₄⋊C₈	C₂²	1	4	yes	—
22	C₄×C₇×M₁₆	—	2	2	no	—
23	C₄×C₇×M₁₆	C₂²	1	4	yes	—
24	C₂×C₇×#97	—	2	1	no	—
25	C₂×C₄×C₇×C₈	—	2	1	no	—
26	C₇×#341	C₂²	1	8	yes	—
27	#21177	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
28	C₂³×C₄×C₇	Q₈	1	2	yes	—
29	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
30	C₂×C₇×M₁₆	—	2	1	no	—
31	C₂×C₇×M₁₆	—	2	1	no	—
32	C₂×C₇×M₁₆	—	2	4	no	—
33	C₂×C₇×M₁₆	—	2	2	no	—
34	C₂×C₇×M₁₆	—	2	2	no	—
35	C₂×C₇×M₁₆	—	2	4	no	—
36	C₂×C₇×M₁₆	—	2	2	no	—
37	C₂×C₇×M₁₆	—	2	4	no	—
38	C₂×C₇×M₁₆	—	2	4	no	—
39	C₂×C₇×M₁₆	C₂×C₄	1	4	yes	—
40	C₂×C₇×M₁₆	C₂×C₄	1	4	yes	—
41	C₂×C₇×M₁₆	D₄	1	4	yes	—
42	C₂×C₇×M₁₆	Q₈	1	4	yes	—
43	C₂×C₇×M₁₆	C₂³	1	4	yes	—
44	C₂×C₇×M₁₆	C₂³	1	2	yes	—
45	C₂×C₇×M₁₆	C₂³	1	2	yes	—
46	C₂²×C₇×C₈	—	2	1	no	—
47	C₂²×C₇×C₈	—	2	1	no	—
48	C₂²×C₇×C₈	—	2	2	no	—
49	C₂²×C₇×C₈	C₂³	1	4	yes	—
50	C₂×C₄²×C₇	C₂×C₄	1	1	yes	characteristic
51	C₂×C₄²×C₇	C₂×C₄	1	2	yes	—
52	C₂×C₄²×C₇	C₂×C₄	1	1	yes	characteristic
53	C₂×C₄²×C₇	D₄	1	1	yes	characteristic
54	C₂×C₄²×C₇	D₄	1	1	yes	characteristic
55	C₂×C₄²×C₇	D₄	1	2	yes	—
56	C₂×C₄²×C₇	Q₈	1	1	yes	characteristic
57	C₂×C₄²×C₇	Q₈	1	1	yes	characteristic
58	C₂×C₄²×C₇	C₂³	1	2	yes	—
59	C₇×#108	—	2	16	no	—
60	C₇×C₄⋊C₈	—	2	4	no	—
61	C₇×C₄⋊C₈	—	2	4	no	—
62	C₇×C₄⋊C₈	C₂×C₄	1	8	yes	—
63	C₇×C₄⋊C₈	C₂×C₄	1	8	yes	—
64	C₇×#97	—	2	4	no	—
65	C₄×C₇×C₈	—	2	4	no	—
66	C₂×#430	C₂×C₇	1	2	yes	—
67	C₂×#423	C₂×C₇	1	1	yes	characteristic
68	C₂×#423	C₂×C₇	1	1	yes	characteristic
69	C₂×C₄×M₁₆	C₂×C₇	1	1	yes	characteristic
70	#1950	C₂×C₇	1	8	yes	complemented
71	#1738	C₂×C₇	1	2	yes	—
72	C₂⁴×C₇	C₂×Q₈	1	1	yes	characteristic
73	C₂²×C₄×C₇	—	4	4	no	—
74	C₂²×C₄×C₇	C₄⋊C₄	1	2	yes	—
75	C₂²×C₄×C₇	C₄⋊C₄	1	2	yes	—
76	C₂²×C₄×C₇	C₄⋊C₄	1	2	yes	—
77	C₂²×C₄×C₇	C₄⋊C₄	1	2	yes	—
78	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
79	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
80	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
81	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
82	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
83	C₂²×C₄×C₇	C₂×Q₈	1	2	yes	—
84	C₂²×C₄×C₇	C₂×Q₈	1	2	yes	—
85	C₂²×C₄×C₇	C₂×Q₈	1	1	yes	characteristic
86	C₂²×C₄×C₇	C₂×Q₈	1	2	yes	—
87	C₂²×C₄×C₇	#41	1	2	yes	—
88	C₂²×C₄×C₇	#41	1	2	yes	—
89	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
90	C₇×M₁₆	—	2	8	no	—
91	C₇×M₁₆	—	2	8	no	—
92	C₇×M₁₆	—	2	4	no	—
93	C₇×M₁₆	—	2	4	no	—
94	C₇×M₁₆	—	2	2	no	—
95	C₇×M₁₆	—	2	2	no	—
96	C₇×M₁₆	—	2	4	no	—
97	C₇×M₁₆	—	2	4	no	—
98	C₇×M₁₆	—	4	4	no	—
99	C₇×M₁₆	C₂×D₄	1	4	yes	—
100	C₇×M₁₆	C₂×Q₈	1	4	yes	—
101	C₂×C₇×C₈	—	2	4	no	—
102	C₂×C₇×C₈	—	2	4	no	—
103	C₂×C₇×C₈	—	2	4	no	—
104	C₂×C₇×C₈	—	2	2	no	—
105	C₂×C₇×C₈	—	2	2	no	—
106	C₂×C₇×C₈	—	2	4	no	—
107	C₂×C₇×C₈	—	2	4	no	—
108	C₂×C₇×C₈	—	4	4	no	—
109	C₂×C₇×C₈	C₂²×C₄	1	8	yes	—
110	C₄²×C₇	C₄⋊C₄	1	1	yes	characteristic
111	C₄²×C₇	C₄⋊C₄	1	1	yes	characteristic
112	C₄²×C₇	C₄⋊C₄	1	1	yes	characteristic
113	C₄²×C₇	C₄⋊C₄	1	2	yes	—
114	C₄²×C₇	C₄⋊C₄	1	2	yes	—
115	C₄²×C₇	C₄⋊C₄	1	1	yes	characteristic
116	C₄²×C₇	C₂²×C₄	1	2	yes	—
117	C₄²×C₇	C₂²×C₄	1	2	yes	—
118	C₄²×C₇	C₂×D₄	1	2	yes	—
119	C₄²×C₇	C₂×D₄	1	2	yes	—
120	C₂²×M₁₆	C₂²×C₇	1	2	yes	—
121	C₂²×M₁₆	C₂²×C₇	1	1	yes	characteristic
122	C₂²×M₁₆	C₂²×C₇	1	1	yes	characteristic
123	C₂²×M₁₆	C₂²×C₇	1	2	yes	—
124	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
125	#430	—	2	8	no	—
126	C₂×#108	C₂²×C₇	1	8	yes	—
127	#423	—	2	1	no	—
128	#423	—	2	1	no	—
129	#423	C₄×C₇	1	2	yes	—
130	#423	C₄×C₇	1	4	yes	—
131	#423	C₄×C₇	1	2	yes	—
132	#423	C₂²×C₇	1	4	yes	—
133	C₂×C₄⋊C₈	—	2	2	no	—
134	C₂×C₄⋊C₈	C₂²×C₇	1	4	yes	—
135	C₄×M₁₆	—	2	2	no	—
136	C₄×M₁₆	C₂²×C₇	1	4	yes	—
137	C₂×#97	—	2	1	no	—
138	C₂×C₄×C₈	—	2	1	no	—
139	#341	C₂²×C₇	1	8	yes	—
140	C₂³×C₇	—	4	2	no	—
141	C₂³×C₇	C₂×C₄⋊C₄	1	1	yes	characteristic
142	C₂³×C₇	C₂×C₄⋊C₄	1	1	yes	characteristic
143	C₂³×C₇	#125	1	2	yes	—
144	C₂³×C₇	C₄⋊Q₈	1	2	yes	—
145	C₂³×C₇	C₂²×Q₈	1	1	yes	characteristic
146	C₂×C₄×C₇	—	2	4	no	—
147	C₂×C₄×C₇	—	2	4	no	—
148	C₂×C₄×C₇	—	2	4	no	—
149	C₂×C₄×C₇	—	4	2	no	—
150	C₂×C₄×C₇	—	4	2	no	—
151	C₂×C₄×C₇	—	4	2	no	—
152	C₂×C₄×C₇	C₂×C₄⋊C₄	1	2	yes	—
153	C₂×C₄×C₇	C₂×C₄⋊C₄	1	2	yes	—
154	C₂×C₄×C₇	C₂×C₄⋊C₄	1	2	yes	—
155	C₂×C₄×C₇	C₂×C₄⋊C₄	1	1	yes	characteristic
156	C₂×C₄×C₇	C₂×C₄⋊C₄	1	1	yes	characteristic
157	C₂×C₄×C₇	C₂×C₄⋊C₄	1	2	yes	—
158	C₂×C₄×C₇	C₄×D₄	1	2	yes	—
159	C₂×C₄×C₇	C₄×D₄	1	2	yes	—
160	C₂×C₄×C₇	C₄×Q₈	1	2	yes	—
161	C₂×C₄×C₇	C₄×Q₈	1	2	yes	—
162	C₂×C₄×C₇	#121	1	2	yes	—
163	C₂×C₄×C₇	#121	1	2	yes	—
164	C₂×C₄×C₇	C₂²⋊Q₈	1	2	yes	—
165	C₂×C₄×C₇	C₂²⋊Q₈	1	2	yes	—
166	C₂×C₄×C₇	#125	1	2	yes	—
167	C₂×C₄×C₇	C₄⋊Q₈	1	2	yes	—
168	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
169	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
170	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
171	C₂×C₄×C₇	C₂²×Q₈	1	1	yes	characteristic
172	C₂×C₄×C₇	C₂×#41	1	1	yes	characteristic
173	C₂×C₄×C₇	C₂×#41	1	1	yes	characteristic
174	C₇×C₈	—	2	8	no	—
175	C₇×C₈	—	2	4	no	—
176	C₇×C₈	—	2	4	no	—
177	C₇×C₈	—	4	4	no	—
178	C₂³×C₄	C₇×Q₈	1	2	yes	—
179	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
180	C₂×M₁₆	—	2	1	no	—
181	C₂×M₁₆	—	2	1	no	—
182	C₂×M₁₆	—	2	4	no	—
183	C₂×M₁₆	—	2	2	no	—
184	C₂×M₁₆	—	2	2	no	—
185	C₂×M₁₆	—	2	4	no	—
186	C₂×M₁₆	—	2	2	no	—
187	C₂×M₁₆	—	2	4	no	—
188	C₂×M₁₆	—	2	4	no	—
189	C₂×M₁₆	C₂×C₄×C₇	1	4	yes	—
190	C₂×M₁₆	C₂×C₄×C₇	1	4	yes	—
191	C₂×M₁₆	C₇×D₄	1	4	yes	—
192	C₂×M₁₆	C₇×Q₈	1	4	yes	—
193	C₂×M₁₆	C₂³×C₇	1	4	yes	—
194	C₂×M₁₆	C₂³×C₇	1	2	yes	—
195	C₂×M₁₆	C₂³×C₇	1	2	yes	—
196	C₂²×C₈	—	2	1	no	—
197	C₂²×C₈	—	2	1	no	—
198	C₂²×C₈	—	2	2	no	—
199	C₂²×C₈	C₂³×C₇	1	4	yes	—
200	C₂×C₄²	C₂×C₄×C₇	1	1	yes	characteristic
201	C₂×C₄²	C₂×C₄×C₇	1	2	yes	—
202	C₂×C₄²	C₂×C₄×C₇	1	1	yes	characteristic
203	C₂×C₄²	C₇×D₄	1	1	yes	characteristic
204	C₂×C₄²	C₇×D₄	1	1	yes	characteristic
205	C₂×C₄²	C₇×D₄	1	2	yes	—
206	C₂×C₄²	C₇×Q₈	1	1	yes	characteristic
207	C₂×C₄²	C₇×Q₈	1	1	yes	characteristic
208	C₂×C₄²	C₂³×C₇	1	2	yes	—
209	#108	—	2	16	no	—
210	C₄⋊C₈	—	2	4	no	—
211	C₄⋊C₈	—	2	4	no	—
212	C₄⋊C₈	C₂×C₄×C₇	1	8	yes	—
213	C₄⋊C₈	C₂×C₄×C₇	1	8	yes	—
214	#97	—	2	4	no	—
215	C₄×C₈	—	2	4	no	—
216	C₂²×C₇	—	2	2	no	—
217	C₂²×C₇	—	2	2	no	—
218	C₂²×C₇	—	2	2	no	—
219	C₂²×C₇	—	4	2	no	—
220	C₂²×C₇	—	4	2	no	—
221	C₂²×C₇	#389	1	2	yes	—
222	C₂²×C₇	#389	1	2	yes	—
223	C₂²×C₇	C₂²×C₄⋊C₄	1	1	yes	characteristic
224	C₂²×C₇	C₂×#125	1	1	yes	characteristic
225	C₂²×C₇	C₂×C₄⋊Q₈	1	1	yes	characteristic
226	C₄×C₇	—	2	2	no	—
227	C₄×C₇	—	2	2	no	—
228	C₄×C₇	—	2	2	no	—
229	C₄×C₇	#389	1	2	yes	—
230	C₄×C₇	#389	1	2	yes	—
231	C₄×C₇	#430	1	4	yes	complemented
232	C₄×C₇	C₂×C₄×D₄	1	1	yes	characteristic
233	C₄×C₇	C₂×C₄×Q₈	1	1	yes	characteristic
234	C₄×C₇	C₂×#121	1	1	yes	characteristic
235	C₄×C₇	C₂×C₂²⋊Q₈	1	1	yes	characteristic
236	C₂⁴	C₂×C₇×Q₈	1	1	yes	characteristic
237	C₂²×C₄	—	4	4	no	—
238	C₂²×C₄	C₇×C₄⋊C₄	1	2	yes	—
239	C₂²×C₄	C₇×C₄⋊C₄	1	2	yes	—
240	C₂²×C₄	C₇×C₄⋊C₄	1	2	yes	—
241	C₂²×C₄	C₇×C₄⋊C₄	1	2	yes	—
242	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
243	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
244	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
245	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
246	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
247	C₂²×C₄	C₂×C₇×Q₈	1	2	yes	—
248	C₂²×C₄	C₂×C₇×Q₈	1	2	yes	—
249	C₂²×C₄	C₂×C₇×Q₈	1	1	yes	characteristic
250	C₂²×C₄	C₂×C₇×Q₈	1	2	yes	—
251	C₂²×C₄	C₇×#41	1	2	yes	—
252	C₂²×C₄	C₇×#41	1	2	yes	—
253	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
254	M₁₆	—	2	8	no	—
255	M₁₆	—	2	8	no	—
256	M₁₆	—	2	4	no	—
257	M₁₆	—	2	4	no	—
258	M₁₆	—	2	2	no	—
259	M₁₆	—	2	2	no	—
260	M₁₆	—	2	4	no	—
261	M₁₆	—	2	4	no	—
262	M₁₆	—	4	4	no	—
263	M₁₆	C₂×C₇×D₄	1	4	yes	—
264	M₁₆	C₂×C₇×Q₈	1	4	yes	—
265	C₂×C₈	—	2	4	no	—
266	C₂×C₈	—	2	4	no	—
267	C₂×C₈	—	2	2	no	—
268	C₂×C₈	—	2	2	no	—
269	C₂×C₈	—	2	4	no	—
270	C₂×C₈	—	2	4	no	—
271	C₂×C₈	—	2	4	no	—
272	C₂×C₈	—	4	4	no	—
273	C₂×C₈	C₂²×C₄×C₇	1	8	yes	—
274	C₄²	C₇×C₄⋊C₄	1	1	yes	characteristic
275	C₄²	C₇×C₄⋊C₄	1	1	yes	characteristic
276	C₄²	C₇×C₄⋊C₄	1	1	yes	characteristic
277	C₄²	C₇×C₄⋊C₄	1	2	yes	—
278	C₄²	C₇×C₄⋊C₄	1	2	yes	—
279	C₄²	C₇×C₄⋊C₄	1	1	yes	characteristic
280	C₄²	C₂²×C₄×C₇	1	2	yes	—
281	C₄²	C₂²×C₄×C₇	1	2	yes	—
282	C₄²	C₂×C₇×D₄	1	2	yes	—
283	C₄²	C₂×C₇×D₄	1	2	yes	—
284	C₂×C₇	—	2	1	no	—
285	C₂×C₇	—	2	1	no	—
286	C₂×C₇	—	2	2	no	—
287	C₂×C₇	—	2	2	no	—
288	C₂×C₇	C₂×#389	1	1	yes	characteristic
289	C₂×C₇	C₂×#430	1	2	yes	—
290	C₂³	—	4	2	no	—
291	C₂³	C₂×C₇×C₄⋊C₄	1	1	yes	characteristic
292	C₂³	C₂×C₇×C₄⋊C₄	1	1	yes	characteristic
293	C₂³	C₇×#125	1	2	yes	—
294	C₂³	C₇×C₄⋊Q₈	1	2	yes	—
295	C₂³	C₂²×C₇×Q₈	1	1	yes	characteristic
296	C₂×C₄	—	2	4	no	—
297	C₂×C₄	—	2	4	no	—
298	C₂×C₄	—	2	4	no	—
299	C₂×C₄	—	4	2	no	—
300	C₂×C₄	—	4	2	no	—
301	C₂×C₄	—	4	2	no	—
302	C₂×C₄	C₂×C₇×C₄⋊C₄	1	2	yes	—
303	C₂×C₄	C₂×C₇×C₄⋊C₄	1	2	yes	—
304	C₂×C₄	C₂×C₇×C₄⋊C₄	1	2	yes	—
305	C₂×C₄	C₂×C₇×C₄⋊C₄	1	1	yes	characteristic
306	C₂×C₄	C₂×C₇×C₄⋊C₄	1	1	yes	characteristic
307	C₂×C₄	C₂×C₇×C₄⋊C₄	1	2	yes	—
308	C₂×C₄	C₄×C₇×D₄	1	2	yes	—
309	C₂×C₄	C₄×C₇×D₄	1	2	yes	—
310	C₂×C₄	C₄×C₇×Q₈	1	2	yes	—
311	C₂×C₄	C₄×C₇×Q₈	1	2	yes	—
312	C₂×C₄	C₇×#121	1	2	yes	—
313	C₂×C₄	C₇×#121	1	2	yes	—
314	C₂×C₄	C₇×C₂²⋊Q₈	1	2	yes	—
315	C₂×C₄	C₇×C₂²⋊Q₈	1	2	yes	—
316	C₂×C₄	C₇×#125	1	2	yes	—
317	C₂×C₄	C₇×C₄⋊Q₈	1	2	yes	—
318	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
319	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
320	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
321	C₂×C₄	C₂²×C₇×Q₈	1	1	yes	characteristic
322	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
323	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
324	C₈	—	2	8	no	—
325	C₈	—	2	4	no	—
326	C₈	—	2	4	no	—
327	C₈	—	4	4	no	—
328	C₇	#21177	1	1	yes	characteristic, direct product factor, Sylow
329	C₂²	—	2	2	no	—
330	C₂²	—	2	2	no	—
331	C₂²	—	2	2	no	—
332	C₂²	—	4	2	no	—
333	C₂²	—	4	2	no	—
334	C₂²	C₇×#389	1	2	yes	—
335	C₂²	C₇×#389	1	2	yes	—
336	C₂²	C₂²×C₇×C₄⋊C₄	1	1	yes	characteristic
337	C₂²	C₂×C₇×#125	1	1	yes	characteristic
338	C₂²	C₂×C₇×C₄⋊Q₈	1	1	yes	characteristic
339	C₄	—	2	2	no	—
340	C₄	—	2	2	no	—
341	C₄	—	2	2	no	—
342	C₄	C₇×#389	1	2	yes	—
343	C₄	C₇×#389	1	2	yes	—
344	C₄	C₇×#430	1	4	yes	complemented
345	C₄	C₂×C₄×C₇×D₄	1	1	yes	characteristic
346	C₄	C₂×C₄×C₇×Q₈	1	1	yes	characteristic
347	C₄	C₂×C₇×#121	1	1	yes	characteristic
348	C₄	C₂×C₇×C₂²⋊Q₈	1	1	yes	characteristic
349	C₂	—	2	2	no	—
350	C₂	—	2	2	no	—
351	C₂	—	2	1	no	—
352	C₂	—	2	1	no	—
353	C₂	C₂×C₇×#389	1	1	yes	characteristic
354	C₂	C₂×C₇×#430	1	2	yes	—

	subgroup	G/H
center	C₂×C₄×C₇	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₇
Frattini, cosocle	C₂²×C₄	C₂⁴×C₇
socle	C₂²×C₇	C₂²×C₄⋊C₄
prime radical	C₂⁴×C₇	C₂×Q₈
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₇ ◁ C₂²×C₄²×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
5. C₇×#1950	C₂	semidirect
27. #21177	C₇	direct (N × H)
70. #1950	C₂×C₇	semidirect
231. C₄×C₇	#430	semidirect
328. C₇	#21177	direct (N × H)
344. C₄	C₇×#430	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₇×#430	2
C₂×C₇×#423	2
C₂×C₄×C₇×M₁₆	2
C₇×#1950	2
C₇×#1738	2
#21177	7

Subgroups — C7×#21177 #13198393

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#21177 #13198393