Subgroups — C₇×#19191 #13196407

Order 1792.

662 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3227	C₂	1	1	yes	maximal, characteristic
2	C₇×#3206	C₂	1	1	yes	maximal, characteristic
3	C₂×C₇×#498	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#2931	C₂	1	1	yes	maximal, characteristic
5	C₇×#1691	C₂	1	4	yes	maximal, complemented
6	C₇×#1671	C₂	1	4	yes	maximal, complemented
7	C₇×#1564	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#1549	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#1548	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₇×#131	—	2	1	no	—
11	C₇×#532	C₂²	1	1	yes	characteristic
12	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
13	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
14	C₇×#498	—	2	1	no	—
15	C₇×#498	—	2	1	no	—
16	C₇×#498	—	2	1	no	—
17	C₇×#498	C₂²	1	2	yes	—
18	C₇×#498	C₂²	1	2	yes	—
19	C₇×#492	—	2	1	no	—
20	C₇×#487	—	2	1	no	—
21	C₇×#486	—	2	1	no	—
22	C₇×#481	—	2	2	no	—
23	C₇×#476	C₂²	1	4	yes	—
24	C₇×#461	C₂²	1	4	yes	—
25	C₇×#448	—	2	2	no	—
26	C₇×#436	—	2	1	no	—
27	C₇×#436	C₂²	1	2	yes	—
28	C₇×C₈×D₄	—	2	1	no	—
29	C₇×C₈×D₄	C₂²	1	2	yes	—
30	C₇×#431	C₂²	1	1	yes	characteristic
31	C₇×#431	C₂²	1	1	yes	characteristic
32	C₂×C₇×#106	—	2	1	no	—
33	C₂×C₇×#106	—	2	1	no	—
34	C₇×#423	C₂²	1	1	yes	characteristic
35	C₇×#408	—	2	1	no	—
36	C₂×C₄×C₇×C₈	C₂²	1	1	yes	characteristic
37	C₇×#335	C₂²	1	2	yes	—
38	C₇×#334	C₂²	1	2	yes	—
39	C₇×#333	C₂²	1	4	yes	—
40	C₇×#332	C₂²	1	4	yes	—
41	#19191	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
42	C₂×C₇×#41	—	2	1	no	—
43	C₂²×C₇×Q₈	—	2	1	no	—
44	C₂²×C₇×Q₈	—	2	1	no	—
45	C₂×C₇×SD₁₆	—	2	4	no	—
46	C₇×#131	—	4	4	no	—
47	C₂×C₇×M₁₆	—	2	1	no	—
48	C₂×C₇×M₁₆	—	2	2	no	—
49	C₂²×C₇×C₈	—	2	2	no	—
50	C₂²×C₇×C₈	D₄	1	1	yes	characteristic
51	C₂²×C₇×C₈	D₄	1	1	yes	characteristic
52	C₇×C₄⋊Q₈	—	2	1	no	—
53	C₇×C₄⋊Q₈	—	2	1	no	—
54	C₇×C₄⋊Q₈	—	2	1	no	—
55	C₇×C₄⋊Q₈	—	2	1	no	—
56	C₇×C₄⋊Q₈	—	2	1	no	—
57	C₇×C₄⋊Q₈	—	2	1	no	—
58	C₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
59	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
60	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
61	C₇×#127	D₄	1	1	yes	characteristic
62	C₇×#124	—	2	1	no	—
63	C₇×#121	—	2	1	no	—
64	C₇×#121	D₄	1	2	yes	—
65	C₄×C₇×D₄	—	2	1	no	—
66	C₄×C₇×D₄	C₂³	1	2	yes	—
67	C₂×C₇×C₄⋊C₄	—	2	1	no	—
68	C₂×C₇×C₄⋊C₄	—	2	1	no	—
69	C₂×C₇×C₄⋊C₄	—	2	1	no	—
70	C₂×C₇×C₄⋊C₄	—	2	1	no	—
71	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
72	C₇×#106	—	2	2	no	—
73	C₇×#106	—	2	2	no	—
74	C₇×#106	—	2	2	no	—
75	C₇×#106	—	2	2	no	—
76	C₇×#106	—	2	4	no	—
77	C₇×C₄⋊C₈	—	2	1	no	—
78	C₇×C₄⋊C₈	C₂³	1	2	yes	—
79	C₇×C₄⋊C₈	C₂³	1	2	yes	—
80	C₇×C₄⋊C₈	C₂³	1	2	yes	—
81	C₇×#103	—	2	4	no	—
82	C₇×#102	—	2	4	no	—
83	C₇×C₂²⋊C₈	—	2	1	no	—
84	C₇×C₂²⋊C₈	—	2	1	no	—
85	C₇×C₂²⋊C₈	—	2	2	no	—
86	C₇×C₂²⋊C₈	—	2	2	no	—
87	C₄×C₇×C₈	—	2	1	no	—
88	C₄×C₇×C₈	—	2	1	no	—
89	C₄×C₇×C₈	D₄	1	1	yes	characteristic
90	C₄×C₇×C₈	D₄	1	1	yes	characteristic
91	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
92	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
93	#3227	C₂×C₇	1	1	yes	characteristic
94	#3206	C₂×C₇	1	1	yes	characteristic
95	C₂×#498	C₂×C₇	1	1	yes	characteristic, complemented
96	#2931	C₂×C₇	1	1	yes	characteristic
97	#1691	C₂×C₇	1	4	yes	complemented
98	#1671	C₂×C₇	1	4	yes	complemented
99	#1564	C₂×C₇	1	1	yes	characteristic, complemented
100	#1549	C₂×C₇	1	1	yes	characteristic, complemented
101	#1548	C₂×C₇	1	1	yes	characteristic, complemented
102	C₇×#41	—	4	2	no	—
103	C₇×#41	—	4	2	no	—
104	C₂×C₇×Q₈	—	2	1	no	—
105	C₂×C₇×Q₈	—	2	2	no	—
106	C₂×C₇×Q₈	—	2	2	no	—
107	C₂×C₇×Q₈	—	4	1	no	—
108	C₂×C₇×Q₈	—	4	1	no	—
109	C₂×C₇×Q₈	—	8	2	no	—
110	C₂×C₇×Q₈	—	8	2	no	—
111	C₂×C₇×D₄	—	2	2	no	—
112	C₂×C₇×D₄	—	2	1	no	—
113	C₂×C₇×D₄	—	2	1	no	—
114	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
115	C₂²×C₄×C₇	—	2	2	no	—
116	C₂²×C₄×C₇	—	4	1	no	—
117	C₂²×C₄×C₇	—	4	1	no	—
118	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
119	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
120	C₂²×C₄×C₇	#41	1	1	yes	characteristic
121	C₇×SD₁₆	—	8	4	no	—
122	C₇×M₁₆	—	4	2	no	—
123	C₇×M₁₆	—	4	4	no	—
124	C₂×C₇×C₈	—	2	2	no	—
125	C₂×C₇×C₈	—	2	2	no	—
126	C₂×C₇×C₈	—	2	2	no	—
127	C₂×C₇×C₈	—	2	2	no	—
128	C₂×C₇×C₈	—	4	4	no	—
129	C₂×C₇×C₈	SD₁₆	1	4	yes	complemented
130	C₂×C₇×C₈	C₂×D₄	1	1	yes	characteristic
131	C₂×C₇×C₈	C₂×D₄	1	1	yes	characteristic
132	C₂×C₇×C₈	C₂×D₄	1	1	yes	characteristic
133	C₂×C₇×C₈	C₂×D₄	1	1	yes	characteristic
134	C₇×C₄⋊C₄	—	2	1	no	—
135	C₇×C₄⋊C₄	—	2	2	no	—
136	C₇×C₄⋊C₄	—	2	2	no	—
137	C₇×C₄⋊C₄	—	2	2	no	—
138	C₇×C₄⋊C₄	—	2	2	no	—
139	C₇×C₄⋊C₄	—	4	1	no	—
140	C₇×C₄⋊C₄	—	4	1	no	—
141	C₇×C₄⋊C₄	—	4	1	no	—
142	C₇×C₄⋊C₄	—	4	1	no	—
143	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
144	C₇×C₂²⋊C₄	—	2	2	no	—
145	C₇×C₂²⋊C₄	—	2	2	no	—
146	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
147	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
148	C₄²×C₇	#41	1	1	yes	characteristic
149	C₄²×C₇	C₂⁴	1	1	yes	characteristic
150	C₂×#131	—	2	1	no	—
151	#532	C₂²×C₇	1	1	yes	characteristic
152	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic
153	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic
154	#498	—	2	1	no	—
155	#498	—	2	1	no	—
156	#498	—	2	1	no	—
157	#498	C₂²×C₇	1	2	yes	—
158	#498	C₂²×C₇	1	2	yes	—
159	#492	—	2	1	no	—
160	#487	—	2	1	no	—
161	#486	—	2	1	no	—
162	#481	—	2	2	no	—
163	#476	C₂²×C₇	1	4	yes	—
164	#461	C₂²×C₇	1	4	yes	—
165	#448	—	2	2	no	—
166	#436	—	2	1	no	—
167	#436	C₂²×C₇	1	2	yes	—
168	C₈×D₄	—	2	1	no	—
169	C₈×D₄	C₂²×C₇	1	2	yes	—
170	#431	C₂²×C₇	1	1	yes	characteristic
171	#431	C₂²×C₇	1	1	yes	characteristic
172	C₂×#106	—	2	1	no	—
173	C₂×#106	—	2	1	no	—
174	#423	C₂²×C₇	1	1	yes	characteristic
175	#408	—	2	1	no	—
176	C₂×C₄×C₈	C₂²×C₇	1	1	yes	characteristic
177	#335	C₂²×C₇	1	2	yes	—
178	#334	C₂²×C₇	1	2	yes	—
179	#333	C₂²×C₇	1	4	yes	—
180	#332	C₂²×C₇	1	4	yes	—
181	C₂³×C₇	—	2	2	no	—
182	C₂³×C₇	#121	1	1	yes	characteristic
183	C₇×Q₈	—	4	2	no	—
184	C₇×Q₈	—	4	4	no	—
185	C₇×Q₈	—	8	2	no	—
186	C₇×Q₈	—	8	2	no	—
187	C₇×Q₈	—	8	2	no	—
188	C₇×D₄	—	2	4	no	—
189	C₇×D₄	—	4	4	no	—
190	C₇×D₄	—	4	2	no	—
191	C₇×D₄	—	4	2	no	—
192	C₂×C₄×C₇	—	2	2	no	—
193	C₂×C₄×C₇	—	2	2	no	—
194	C₂×C₄×C₇	—	2	2	no	—
195	C₂×C₄×C₇	—	4	2	no	—
196	C₂×C₄×C₇	—	4	2	no	—
197	C₂×C₄×C₇	—	4	2	no	—
198	C₂×C₄×C₇	—	4	2	no	—
199	C₂×C₄×C₇	—	8	2	no	—
200	C₂×C₄×C₇	—	8	2	no	—
201	C₂×C₄×C₇	#121	1	1	yes	characteristic
202	C₂×C₄×C₇	#121	1	1	yes	characteristic
203	C₂×C₄×C₇	#121	1	1	yes	characteristic
204	C₂×C₄×C₇	C₂×SD₁₆	1	2	yes	—
205	C₂×C₄×C₇	#137	1	2	yes	—
206	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
207	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
208	C₂×C₄×C₇	C₂×#41	1	1	yes	characteristic
209	C₇×C₈	—	2	1	no	—
210	C₇×C₈	—	2	1	no	—
211	C₇×C₈	—	4	2	no	—
212	C₇×C₈	—	4	2	no	—
213	C₇×C₈	—	4	2	no	—
214	C₇×C₈	C₂×SD₁₆	1	2	yes	—
215	C₇×C₈	C₂×SD₁₆	1	2	yes	—
216	C₂×#41	—	2	1	no	—
217	C₂²×Q₈	—	2	1	no	—
218	C₂²×Q₈	—	2	1	no	—
219	C₂×SD₁₆	—	2	4	no	—
220	#131	—	4	4	no	—
221	C₂×M₁₆	—	2	1	no	—
222	C₂×M₁₆	—	2	2	no	—
223	C₂²×C₈	—	2	2	no	—
224	C₂²×C₈	C₇×D₄	1	1	yes	characteristic
225	C₂²×C₈	C₇×D₄	1	1	yes	characteristic
226	C₄⋊Q₈	—	2	1	no	—
227	C₄⋊Q₈	—	2	1	no	—
228	C₄⋊Q₈	—	2	1	no	—
229	C₄⋊Q₈	—	2	1	no	—
230	C₄⋊Q₈	—	2	1	no	—
231	C₄⋊Q₈	—	2	1	no	—
232	C₄⋊Q₈	C₇×D₄	1	1	yes	characteristic
233	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
234	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
235	#127	C₇×D₄	1	1	yes	characteristic
236	#124	—	2	1	no	—
237	#121	—	2	1	no	—
238	#121	C₇×D₄	1	2	yes	—
239	C₄×D₄	—	2	1	no	—
240	C₄×D₄	C₂³×C₇	1	2	yes	—
241	C₂×C₄⋊C₄	—	2	1	no	—
242	C₂×C₄⋊C₄	—	2	1	no	—
243	C₂×C₄⋊C₄	—	2	1	no	—
244	C₂×C₄⋊C₄	—	2	1	no	—
245	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
246	#106	—	2	2	no	—
247	#106	—	2	2	no	—
248	#106	—	2	2	no	—
249	#106	—	2	2	no	—
250	#106	—	2	4	no	—
251	C₄⋊C₈	—	2	1	no	—
252	C₄⋊C₈	C₂³×C₇	1	2	yes	—
253	C₄⋊C₈	C₂³×C₇	1	2	yes	—
254	C₄⋊C₈	C₂³×C₇	1	2	yes	—
255	#103	—	2	4	no	—
256	#102	—	2	4	no	—
257	C₂²⋊C₈	—	2	1	no	—
258	C₂²⋊C₈	—	2	1	no	—
259	C₂²⋊C₈	—	2	2	no	—
260	C₂²⋊C₈	—	2	2	no	—
261	C₄×C₈	—	2	1	no	—
262	C₄×C₈	—	2	1	no	—
263	C₄×C₈	C₇×D₄	1	1	yes	characteristic
264	C₄×C₈	C₇×D₄	1	1	yes	characteristic
265	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
266	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
267	C₂²×C₇	—	2	1	no	—
268	C₂²×C₇	—	2	1	no	—
269	C₂²×C₇	—	4	2	no	—
270	C₂²×C₇	—	4	2	no	—
271	C₂²×C₇	—	4	2	no	—
272	C₂²×C₇	#461	1	2	yes	—
273	C₂²×C₇	C₂×#121	1	1	yes	characteristic
274	C₄×C₇	—	2	1	no	—
275	C₄×C₇	—	2	1	no	—
276	C₄×C₇	—	4	2	no	—
277	C₄×C₇	—	8	2	no	—
278	C₄×C₇	—	8	2	no	—
279	C₄×C₇	#461	1	2	yes	—
280	C₄×C₇	#471	1	2	yes	—
281	C₄×C₇	C₂²×SD₁₆	1	1	yes	characteristic
282	C₄×C₇	C₂×#137	1	1	yes	characteristic
283	C₄×C₇	#577	1	2	yes	—
284	#41	—	4	2	no	—
285	#41	—	4	2	no	—
286	C₂×Q₈	—	2	1	no	—
287	C₂×Q₈	—	2	2	no	—
288	C₂×Q₈	—	2	2	no	—
289	C₂×Q₈	—	4	1	no	—
290	C₂×Q₈	—	4	1	no	—
291	C₂×Q₈	—	8	2	no	—
292	C₂×Q₈	—	8	2	no	—
293	C₂×D₄	—	2	2	no	—
294	C₂×D₄	—	2	1	no	—
295	C₂×D₄	—	2	1	no	—
296	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
297	C₂²×C₄	—	2	2	no	—
298	C₂²×C₄	—	4	1	no	—
299	C₂²×C₄	—	4	1	no	—
300	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
301	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
302	C₂²×C₄	C₇×#41	1	1	yes	characteristic
303	SD₁₆	—	8	4	no	—
304	M₁₆	—	4	2	no	—
305	M₁₆	—	4	4	no	—
306	C₂×C₈	—	2	2	no	—
307	C₂×C₈	—	2	2	no	—
308	C₂×C₈	—	2	2	no	—
309	C₂×C₈	—	2	2	no	—
310	C₂×C₈	—	4	4	no	—
311	C₂×C₈	C₇×SD₁₆	1	4	yes	complemented
312	C₂×C₈	C₂×C₇×D₄	1	1	yes	characteristic
313	C₂×C₈	C₂×C₇×D₄	1	1	yes	characteristic
314	C₂×C₈	C₂×C₇×D₄	1	1	yes	characteristic
315	C₂×C₈	C₂×C₇×D₄	1	1	yes	characteristic
316	C₄⋊C₄	—	2	1	no	—
317	C₄⋊C₄	—	2	2	no	—
318	C₄⋊C₄	—	2	2	no	—
319	C₄⋊C₄	—	2	2	no	—
320	C₄⋊C₄	—	2	2	no	—
321	C₄⋊C₄	—	4	1	no	—
322	C₄⋊C₄	—	4	1	no	—
323	C₄⋊C₄	—	4	1	no	—
324	C₄⋊C₄	—	4	1	no	—
325	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
326	C₂²⋊C₄	—	2	2	no	—
327	C₂²⋊C₄	—	2	2	no	—
328	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
329	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
330	C₄²	C₇×#41	1	1	yes	characteristic
331	C₄²	C₂⁴×C₇	1	1	yes	characteristic
332	C₂×C₇	—	2	2	no	—
333	C₂×C₇	—	8	2	no	—
334	C₂×C₇	C₂×#461	1	1	yes	characteristic
335	C₂×C₇	#3057	1	1	yes	characteristic
336	C₂×C₇	C₂×#471	1	1	yes	characteristic
337	C₂³	—	2	2	no	—
338	C₂³	C₇×#121	1	1	yes	characteristic
339	Q₈	—	4	2	no	—
340	Q₈	—	4	4	no	—
341	Q₈	—	8	2	no	—
342	Q₈	—	8	2	no	—
343	Q₈	—	8	2	no	—
344	D₄	—	2	4	no	—
345	D₄	—	4	4	no	—
346	D₄	—	4	2	no	—
347	D₄	—	4	2	no	—
348	C₂×C₄	—	2	2	no	—
349	C₂×C₄	—	2	2	no	—
350	C₂×C₄	—	2	2	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	4	2	no	—
354	C₂×C₄	—	4	2	no	—
355	C₂×C₄	—	8	2	no	—
356	C₂×C₄	—	8	2	no	—
357	C₂×C₄	C₇×#121	1	1	yes	characteristic
358	C₂×C₄	C₇×#121	1	1	yes	characteristic
359	C₂×C₄	C₇×#121	1	1	yes	characteristic
360	C₂×C₄	C₂×C₇×SD₁₆	1	2	yes	—
361	C₂×C₄	C₇×#137	1	2	yes	—
362	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
363	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
364	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
365	C₈	—	2	1	no	—
366	C₈	—	2	1	no	—
367	C₈	—	4	2	no	—
368	C₈	—	4	2	no	—
369	C₈	—	4	2	no	—
370	C₈	C₂×C₇×SD₁₆	1	2	yes	—
371	C₈	C₂×C₇×SD₁₆	1	2	yes	—
372	C₇	#19191	1	1	yes	characteristic, direct product factor, Sylow
373	C₂²	—	2	1	no	—
374	C₂²	—	2	1	no	—
375	C₂²	—	4	2	no	—
376	C₂²	—	4	2	no	—
377	C₂²	—	4	2	no	—
378	C₂²	C₇×#461	1	2	yes	—
379	C₂²	C₂×C₇×#121	1	1	yes	characteristic
380	C₄	—	2	1	no	—
381	C₄	—	2	1	no	—
382	C₄	—	4	2	no	—
383	C₄	—	8	2	no	—
384	C₄	—	8	2	no	—
385	C₄	C₇×#461	1	2	yes	—
386	C₄	C₇×#471	1	2	yes	—
387	C₄	C₂²×C₇×SD₁₆	1	1	yes	characteristic
388	C₄	C₂×C₇×#137	1	1	yes	characteristic
389	C₄	C₇×#577	1	2	yes	—
390	C₂	—	2	2	no	—
391	C₂	—	8	2	no	—
392	C₂	C₂×C₇×#461	1	1	yes	characteristic
393	C₂	C₇×#3057	1	1	yes	characteristic
394	C₂	C₂×C₇×#471	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂×#121
commutator, Frattini, cosocle	C₄²	C₂⁴×C₇
prime radical	C₇×#532	C₂²
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₂×C₄²×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₂×C₇×#498	C₂	semidirect
5. C₇×#1691	C₂	semidirect
6. C₇×#1671	C₂	semidirect
7. C₇×#1564	C₂	semidirect
8. C₇×#1549	C₂	semidirect
9. C₇×#1548	C₂	semidirect
41. #19191	C₇	direct (N × H)
95. C₂×#498	C₂×C₇	semidirect
97. #1691	C₂×C₇	semidirect
98. #1671	C₂×C₇	semidirect
99. #1564	C₂×C₇	semidirect
100. #1549	C₂×C₇	semidirect
101. #1548	C₂×C₇	semidirect
129. C₂×C₇×C₈	SD₁₆	semidirect
311. C₂×C₈	C₇×SD₁₆	semidirect
372. C₇	#19191	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×#3227	2
C₇×#3206	2
C₂×C₇×#498	2
C₇×#2931	2
C₇×#1691	2
C₇×#1671	2
C₇×#1564	2
C₇×#1549	2
C₇×#1548	2
#19191	7

Subgroups — C7×#19191 #13196407

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#19191 #13196407