Subgroups — C₇×#23193 #13200409

Order 1792.

1126 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#496	C₂	1	1	yes	maximal, characteristic
2	C₂×C₇×#442	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₄×C₇×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#2367	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#2366	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#1983	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#1982	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#1973	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#1970	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#1880	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#1879	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#1879	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#1877	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#1776	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#1771	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
17	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
18	C₂²×C₇×D₈	C₂²	1	1	yes	characteristic
19	C₂²×C₇×D₈	C₂²	1	1	yes	characteristic
20	C₂×C₇×#127	C₂²	1	1	yes	characteristic
21	C₂×C₇×#124	C₂²	1	1	yes	characteristic
22	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
23	C₂×C₄×C₇×D₄	—	2	1	no	—
24	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
25	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
26	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
27	C₇×#496	C₄	1	8	yes	complemented
28	C₇×#442	—	2	4	no	—
29	C₄×C₇×SD₁₆	—	2	4	no	—
30	C₂×C₇×#107	C₂²	1	1	yes	characteristic
31	C₂×C₇×#106	C₂²	1	1	yes	characteristic
32	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
33	C₂×C₇×#103	C₂²	1	1	yes	characteristic
34	C₂×C₇×#103	C₂²	1	1	yes	characteristic
35	C₂×C₇×#102	C₂²	1	1	yes	characteristic
36	C₂×C₇×#102	C₂²	1	1	yes	characteristic
37	C₂×C₇×#102	C₂²	1	1	yes	characteristic
38	C₂×C₇×#102	C₂²	1	1	yes	characteristic
39	C₂×C₇×#102	C₂²	1	1	yes	characteristic
40	C₂×C₇×#102	C₂²	1	1	yes	characteristic
41	C₂×C₇×#97	C₂²	1	1	yes	characteristic
42	C₂×C₇×#97	C₂²	1	1	yes	characteristic
43	C₂×C₄×C₇×C₈	C₂²	1	1	yes	characteristic
44	C₇×#391	C₂²	1	1	yes	characteristic
45	C₇×#390	—	2	1	no	—
46	C₇×#390	C₂²	1	1	yes	characteristic
47	C₇×#390	C₂²	1	1	yes	characteristic
48	C₇×#390	C₂²	1	1	yes	characteristic
49	C₇×#388	—	2	1	no	—
50	C₇×#388	—	2	1	no	—
51	C₇×#386	—	2	1	no	—
52	C₇×#386	—	2	1	no	—
53	C₇×#385	—	2	1	no	—
54	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
55	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
56	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
57	C₄×C₇×C₂²⋊C₄	—	2	1	no	—
58	C₇×#340	C₂²	1	1	yes	characteristic
59	C₇×#340	C₂²	1	1	yes	characteristic
60	C₇×#336	C₂²	1	1	yes	characteristic
61	C₇×#336	C₂²	1	1	yes	characteristic
62	#23193	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
63	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
64	C₂²×C₇×D₄	—	2	1	no	—
65	C₂²×C₇×D₄	—	2	1	no	—
66	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
67	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
68	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
69	C₂³×C₄×C₇	—	2	1	no	—
70	C₂³×C₄×C₇	—	2	1	no	—
71	C₂³×C₄×C₇	—	2	1	no	—
72	C₂×C₇×SD₁₆	—	2	2	no	—
73	C₂×C₇×SD₁₆	—	2	2	no	—
74	C₂×C₇×SD₁₆	—	4	1	no	—
75	C₂×C₇×SD₁₆	—	4	1	no	—
76	C₂×C₇×SD₁₆	C₂×C₄	1	4	yes	complemented
77	C₂×C₇×SD₁₆	C₂×C₄	1	4	yes	complemented
78	C₂×C₇×D₈	—	2	2	no	—
79	C₂×C₇×D₈	—	2	2	no	—
80	C₂×C₇×D₈	—	4	1	no	—
81	C₂×C₇×D₈	—	4	1	no	—
82	C₂×C₇×D₈	C₂×C₄	1	4	yes	complemented
83	C₂×C₇×D₈	C₂×C₄	1	4	yes	complemented
84	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
85	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
86	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
87	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
88	C₇×#127	—	2	2	no	—
89	C₇×#127	C₂×C₄	1	4	yes	complemented
90	C₇×#124	—	2	2	no	—
91	C₇×#124	C₂×C₄	1	4	yes	complemented
92	C₄×C₇×Q₈	—	2	2	no	—
93	C₄×C₇×Q₈	—	4	1	no	—
94	C₄×C₇×D₄	—	2	2	no	—
95	C₄×C₇×D₄	—	2	2	no	—
96	C₄×C₇×D₄	—	2	2	no	—
97	C₄×C₇×D₄	—	4	1	no	—
98	C₄×C₇×D₄	—	4	1	no	—
99	C₄×C₇×D₄	—	4	1	no	—
100	C₄×C₇×D₄	—	4	4	no	—
101	C₂×C₇×C₄⋊C₄	—	2	1	no	—
102	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
103	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
104	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
105	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
106	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
107	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
108	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
109	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
110	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
111	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
112	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
113	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
114	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
115	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
116	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
117	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
118	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
119	C₂×C₄²×C₇	—	2	1	no	—
120	C₂×C₄²×C₇	—	2	1	no	—
121	C₂×C₄²×C₇	—	2	1	no	—
122	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
123	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
124	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
125	C₇×#107	—	2	2	no	—
126	C₇×#106	D₄	1	4	yes	complemented
127	C₇×C₄⋊C₈	—	2	2	no	—
128	C₇×#103	—	2	2	no	—
129	C₇×#103	—	4	1	no	—
130	C₇×#102	—	2	2	no	—
131	C₇×#102	—	2	2	no	—
132	C₇×#102	—	2	2	no	—
133	C₇×#102	—	4	1	no	—
134	C₇×#102	—	4	1	no	—
135	C₇×#102	—	4	1	no	—
136	C₇×#97	—	2	2	no	—
137	C₇×#97	C₂×C₄	1	4	yes	complemented
138	C₄×C₇×C₈	—	2	2	no	—
139	C₇×#95	—	2	1	no	—
140	C₇×#95	—	2	1	no	—
141	C₇×#95	—	2	1	no	—
142	C₇×#95	—	2	1	no	—
143	C₇×#95	D₄	1	1	yes	characteristic
144	C₇×#95	D₄	1	1	yes	characteristic
145	C₂×#496	C₂×C₇	1	1	yes	characteristic
146	C₂×#442	C₂×C₇	1	1	yes	characteristic, complemented
147	C₂×C₄×SD₁₆	C₂×C₇	1	1	yes	characteristic, complemented
148	#2367	C₂×C₇	1	1	yes	characteristic, complemented
149	#2366	C₂×C₇	1	1	yes	characteristic, complemented
150	#1983	C₂×C₇	1	1	yes	characteristic, complemented
151	#1982	C₂×C₇	1	1	yes	characteristic, complemented
152	#1973	C₂×C₇	1	1	yes	characteristic, complemented
153	#1970	C₂×C₇	1	1	yes	characteristic, complemented
154	#1880	C₂×C₇	1	1	yes	characteristic, complemented
155	#1879	C₂×C₇	1	1	yes	characteristic, complemented
156	#1879	C₂×C₇	1	1	yes	characteristic, complemented
157	#1877	C₂×C₇	1	1	yes	characteristic, complemented
158	#1776	C₂×C₇	1	1	yes	characteristic, complemented
159	#1771	C₂×C₇	1	1	yes	characteristic, complemented
160	C₂⁴×C₇	—	2	1	no	—
161	C₂⁴×C₇	—	2	1	no	—
162	C₂⁴×C₇	—	2	1	no	—
163	C₂×C₇×Q₈	—	2	1	no	—
164	C₂×C₇×Q₈	—	2	1	no	—
165	C₂×C₇×Q₈	—	2	1	no	—
166	C₂×C₇×Q₈	—	2	1	no	—
167	C₂×C₇×Q₈	—	2	1	no	—
168	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
169	C₂×C₇×D₄	—	2	4	no	—
170	C₂×C₇×D₄	—	2	4	no	—
171	C₂×C₇×D₄	—	2	1	no	—
172	C₂×C₇×D₄	—	2	1	no	—
173	C₂×C₇×D₄	—	2	1	no	—
174	C₂×C₇×D₄	—	2	1	no	—
175	C₂×C₇×D₄	—	2	1	no	—
176	C₂×C₇×D₄	—	2	1	no	—
177	C₂×C₇×D₄	—	2	1	no	—
178	C₂×C₇×D₄	—	2	1	no	—
179	C₂×C₇×D₄	—	2	1	no	—
180	C₂×C₇×D₄	—	2	1	no	—
181	C₂×C₇×D₄	—	2	1	no	—
182	C₂×C₇×D₄	—	2	1	no	—
183	C₂×C₇×D₄	—	2	1	no	—
184	C₂×C₇×D₄	—	2	1	no	—
185	C₂×C₇×D₄	—	2	1	no	—
186	C₂×C₇×D₄	—	4	2	no	—
187	C₂×C₇×D₄	—	4	2	no	—
188	C₂×C₇×D₄	—	8	1	no	—
189	C₂×C₇×D₄	—	8	1	no	—
190	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
191	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
192	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
193	C₂²×C₄×C₇	—	2	1	no	—
194	C₂²×C₄×C₇	—	2	1	no	—
195	C₂²×C₄×C₇	—	2	1	no	—
196	C₂²×C₄×C₇	—	2	1	no	—
197	C₂²×C₄×C₇	—	2	1	no	—
198	C₂²×C₄×C₇	—	4	2	no	—
199	C₂²×C₄×C₇	—	4	2	no	—
200	C₂²×C₄×C₇	—	4	2	no	—
201	C₂²×C₄×C₇	—	4	2	no	—
202	C₂²×C₄×C₇	—	4	2	no	—
203	C₂²×C₄×C₇	—	4	2	no	—
204	C₂²×C₄×C₇	—	8	1	no	—
205	C₂²×C₄×C₇	—	8	1	no	—
206	C₂²×C₄×C₇	—	8	1	no	—
207	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
208	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
209	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
210	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
211	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
212	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
213	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
214	C₇×SD₁₆	—	2	8	no	—
215	C₇×SD₁₆	—	4	4	no	—
216	C₇×D₈	—	2	8	no	—
217	C₇×D₈	—	4	4	no	—
218	C₂×C₇×C₈	—	2	1	no	—
219	C₂×C₇×C₈	—	2	1	no	—
220	C₂×C₇×C₈	—	2	1	no	—
221	C₂×C₇×C₈	—	2	1	no	—
222	C₂×C₇×C₈	—	2	1	no	—
223	C₂×C₇×C₈	—	2	1	no	—
224	C₂×C₇×C₈	—	2	1	no	—
225	C₂×C₇×C₈	—	2	1	no	—
226	C₂×C₇×C₈	C₂²×C₄	1	2	yes	—
227	C₂×C₇×C₈	C₂²×C₄	1	2	yes	—
228	C₂×C₇×C₈	C₂×D₄	1	2	yes	—
229	C₂×C₇×C₈	#41	1	2	yes	—
230	C₇×C₄⋊C₄	—	2	2	no	—
231	C₇×C₄⋊C₄	—	2	1	no	—
232	C₇×C₄⋊C₄	—	2	1	no	—
233	C₇×C₄⋊C₄	—	2	1	no	—
234	C₇×C₄⋊C₄	—	2	1	no	—
235	C₇×C₄⋊C₄	—	2	1	no	—
236	C₇×C₄⋊C₄	—	2	1	no	—
237	C₇×C₄⋊C₄	—	4	1	no	—
238	C₇×C₄⋊C₄	—	4	2	no	—
239	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
240	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
241	C₇×C₂²⋊C₄	—	2	4	no	—
242	C₇×C₂²⋊C₄	—	2	4	no	—
243	C₇×C₂²⋊C₄	—	4	2	no	—
244	C₇×C₂²⋊C₄	—	4	2	no	—
245	C₇×C₂²⋊C₄	—	4	2	no	—
246	C₇×C₂²⋊C₄	—	4	2	no	—
247	C₇×C₂²⋊C₄	—	4	2	no	—
248	C₇×C₂²⋊C₄	—	4	2	no	—
249	C₇×C₂²⋊C₄	—	8	1	no	—
250	C₇×C₂²⋊C₄	—	8	1	no	—
251	C₇×C₂²⋊C₄	—	8	1	no	—
252	C₄²×C₇	—	2	1	no	—
253	C₄²×C₇	—	2	1	no	—
254	C₄²×C₇	—	2	1	no	—
255	C₄²×C₇	—	2	1	no	—
256	C₄²×C₇	—	4	2	no	—
257	C₄²×C₇	—	4	2	no	—
258	C₄²×C₇	—	8	1	no	—
259	C₄²×C₇	C₂²×C₄	1	2	yes	—
260	C₄²×C₇	#41	1	2	yes	—
261	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
262	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
263	C₂²×D₈	C₂²×C₇	1	1	yes	characteristic
264	C₂²×D₈	C₂²×C₇	1	1	yes	characteristic
265	C₂×#127	C₂²×C₇	1	1	yes	characteristic
266	C₂×#124	C₂²×C₇	1	1	yes	characteristic
267	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
268	C₂×C₄×D₄	—	2	1	no	—
269	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
270	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
271	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
272	#496	C₄×C₇	1	8	yes	complemented
273	#442	—	2	4	no	—
274	C₄×SD₁₆	—	2	4	no	—
275	C₂×#107	C₂²×C₇	1	1	yes	characteristic
276	C₂×#106	C₂²×C₇	1	1	yes	characteristic
277	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic
278	C₂×#103	C₂²×C₇	1	1	yes	characteristic
279	C₂×#103	C₂²×C₇	1	1	yes	characteristic
280	C₂×#102	C₂²×C₇	1	1	yes	characteristic
281	C₂×#102	C₂²×C₇	1	1	yes	characteristic
282	C₂×#102	C₂²×C₇	1	1	yes	characteristic
283	C₂×#102	C₂²×C₇	1	1	yes	characteristic
284	C₂×#102	C₂²×C₇	1	1	yes	characteristic
285	C₂×#102	C₂²×C₇	1	1	yes	characteristic
286	C₂×#97	C₂²×C₇	1	1	yes	characteristic
287	C₂×#97	C₂²×C₇	1	1	yes	characteristic
288	C₂×C₄×C₈	C₂²×C₇	1	1	yes	characteristic
289	#391	C₂²×C₇	1	1	yes	characteristic
290	#390	—	2	1	no	—
291	#390	C₂²×C₇	1	1	yes	characteristic
292	#390	C₂²×C₇	1	1	yes	characteristic
293	#390	C₂²×C₇	1	1	yes	characteristic
294	#388	—	2	1	no	—
295	#388	—	2	1	no	—
296	#386	—	2	1	no	—
297	#386	—	2	1	no	—
298	#385	—	2	1	no	—
299	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
300	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
301	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
302	C₄×C₂²⋊C₄	—	2	1	no	—
303	#340	C₂²×C₇	1	1	yes	characteristic
304	#340	C₂²×C₇	1	1	yes	characteristic
305	#336	C₂²×C₇	1	1	yes	characteristic
306	#336	C₂²×C₇	1	1	yes	characteristic
307	C₂³×C₇	—	2	2	no	—
308	C₂³×C₇	—	2	2	no	—
309	C₂³×C₇	—	2	2	no	—
310	C₂³×C₇	—	4	1	no	—
311	C₂³×C₇	—	4	1	no	—
312	C₂³×C₇	—	4	1	no	—
313	C₂³×C₇	—	4	1	no	—
314	C₂³×C₇	—	4	1	no	—
315	C₂³×C₇	—	4	1	no	—
316	C₂³×C₇	—	4	1	no	—
317	C₂³×C₇	—	4	1	no	—
318	C₂³×C₇	—	4	1	no	—
319	C₂³×C₇	—	4	1	no	—
320	C₂³×C₇	—	4	1	no	—
321	C₂³×C₇	—	4	1	no	—
322	C₂³×C₇	—	4	1	no	—
323	C₂³×C₇	—	4	1	no	—
324	C₂³×C₇	—	4	1	no	—
325	C₂³×C₇	—	4	1	no	—
326	C₂³×C₇	—	4	1	no	—
327	C₂³×C₇	—	4	1	no	—
328	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
329	C₇×Q₈	—	2	2	no	—
330	C₇×Q₈	—	2	2	no	—
331	C₇×Q₈	—	4	1	no	—
332	C₇×Q₈	—	4	1	no	—
333	C₇×D₄	—	2	2	no	—
334	C₇×D₄	—	2	2	no	—
335	C₇×D₄	—	2	2	no	—
336	C₇×D₄	—	2	2	no	—
337	C₇×D₄	—	2	2	no	—
338	C₇×D₄	—	2	2	no	—
339	C₇×D₄	—	4	8	no	—
340	C₇×D₄	—	4	1	no	—
341	C₇×D₄	—	4	1	no	—
342	C₇×D₄	—	4	1	no	—
343	C₇×D₄	—	4	1	no	—
344	C₇×D₄	—	4	1	no	—
345	C₇×D₄	—	4	1	no	—
346	C₇×D₄	—	8	4	no	—
347	C₂×C₄×C₇	—	2	1	no	—
348	C₂×C₄×C₇	—	2	1	no	—
349	C₂×C₄×C₇	—	2	1	no	—
350	C₂×C₄×C₇	—	2	1	no	—
351	C₂×C₄×C₇	—	2	1	no	—
352	C₂×C₄×C₇	—	2	1	no	—
353	C₂×C₄×C₇	—	2	2	no	—
354	C₂×C₄×C₇	—	2	1	no	—
355	C₂×C₄×C₇	—	2	1	no	—
356	C₂×C₄×C₇	—	2	1	no	—
357	C₂×C₄×C₇	—	2	2	no	—
358	C₂×C₄×C₇	—	2	2	no	—
359	C₂×C₄×C₇	—	2	1	no	—
360	C₂×C₄×C₇	—	2	1	no	—
361	C₂×C₄×C₇	—	2	1	no	—
362	C₂×C₄×C₇	—	2	1	no	—
363	C₂×C₄×C₇	—	2	1	no	—
364	C₂×C₄×C₇	—	2	1	no	—
365	C₂×C₄×C₇	—	4	1	no	—
366	C₂×C₄×C₇	—	4	1	no	—
367	C₂×C₄×C₇	—	4	1	no	—
368	C₂×C₄×C₇	—	4	1	no	—
369	C₂×C₄×C₇	—	4	1	no	—
370	C₂×C₄×C₇	—	4	1	no	—
371	C₂×C₄×C₇	—	4	1	no	—
372	C₂×C₄×C₇	—	4	1	no	—
373	C₂×C₄×C₇	—	4	1	no	—
374	C₂×C₄×C₇	—	4	1	no	—
375	C₂×C₄×C₇	—	4	1	no	—
376	C₂×C₄×C₇	—	4	1	no	—
377	C₂×C₄×C₇	—	8	4	no	—
378	C₂×C₄×C₇	—	8	4	no	—
379	C₂×C₄×C₇	—	8	4	no	—
380	C₂×C₄×C₇	C₄×D₄	1	2	yes	—
381	C₂×C₄×C₇	C₄×D₄	1	2	yes	—
382	C₂×C₄×C₇	AGL(1,ℤ/8)	1	2	yes	—
383	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
384	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
385	C₂×C₄×C₇	C₂×#41	1	1	yes	characteristic
386	C₂×C₄×C₇	C₂×#41	1	1	yes	characteristic
387	C₂×C₄×C₇	H(5,𝔽₂)	1	1	yes	characteristic
388	C₂×C₄×C₇	H(5,𝔽₂)	1	1	yes	characteristic
389	C₇×C₈	—	2	2	no	—
390	C₇×C₈	—	4	1	no	—
391	C₇×C₈	—	4	1	no	—
392	C₇×C₈	C₄×D₄	1	4	yes	complemented
393	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
394	C₂²×D₄	—	2	1	no	—
395	C₂²×D₄	—	2	1	no	—
396	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
397	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
398	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
399	C₂³×C₄	—	2	1	no	—
400	C₂³×C₄	—	2	1	no	—
401	C₂³×C₄	—	2	1	no	—
402	C₂×SD₁₆	—	2	2	no	—
403	C₂×SD₁₆	—	2	2	no	—
404	C₂×SD₁₆	—	4	1	no	—
405	C₂×SD₁₆	—	4	1	no	—
406	C₂×SD₁₆	C₂×C₄×C₇	1	4	yes	complemented
407	C₂×SD₁₆	C₂×C₄×C₇	1	4	yes	complemented
408	C₂×D₈	—	2	2	no	—
409	C₂×D₈	—	2	2	no	—
410	C₂×D₈	—	4	1	no	—
411	C₂×D₈	—	4	1	no	—
412	C₂×D₈	C₂×C₄×C₇	1	4	yes	complemented
413	C₂×D₈	C₂×C₄×C₇	1	4	yes	complemented
414	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
415	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
416	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
417	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
418	#127	—	2	2	no	—
419	#127	C₂×C₄×C₇	1	4	yes	complemented
420	#124	—	2	2	no	—
421	#124	C₂×C₄×C₇	1	4	yes	complemented
422	C₄×Q₈	—	2	2	no	—
423	C₄×Q₈	—	4	1	no	—
424	C₄×D₄	—	2	2	no	—
425	C₄×D₄	—	2	2	no	—
426	C₄×D₄	—	2	2	no	—
427	C₄×D₄	—	4	1	no	—
428	C₄×D₄	—	4	1	no	—
429	C₄×D₄	—	4	1	no	—
430	C₄×D₄	—	4	4	no	—
431	C₂×C₄⋊C₄	—	2	1	no	—
432	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
433	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
434	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
435	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
436	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
437	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
438	C₂×C₂²⋊C₄	—	2	1	no	—
439	C₂×C₂²⋊C₄	—	2	1	no	—
440	C₂×C₂²⋊C₄	—	2	1	no	—
441	C₂×C₂²⋊C₄	—	2	1	no	—
442	C₂×C₂²⋊C₄	—	2	1	no	—
443	C₂×C₂²⋊C₄	—	2	1	no	—
444	C₂×C₂²⋊C₄	—	2	1	no	—
445	C₂×C₂²⋊C₄	—	2	1	no	—
446	C₂×C₂²⋊C₄	—	2	1	no	—
447	C₂×C₂²⋊C₄	—	2	1	no	—
448	C₂×C₂²⋊C₄	—	2	1	no	—
449	C₂×C₄²	—	2	1	no	—
450	C₂×C₄²	—	2	1	no	—
451	C₂×C₄²	—	2	1	no	—
452	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
453	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
454	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
455	#107	—	2	2	no	—
456	#106	C₇×D₄	1	4	yes	complemented
457	C₄⋊C₈	—	2	2	no	—
458	#103	—	2	2	no	—
459	#103	—	4	1	no	—
460	#102	—	2	2	no	—
461	#102	—	2	2	no	—
462	#102	—	2	2	no	—
463	#102	—	4	1	no	—
464	#102	—	4	1	no	—
465	#102	—	4	1	no	—
466	#97	—	2	2	no	—
467	#97	C₂×C₄×C₇	1	4	yes	complemented
468	C₄×C₈	—	2	2	no	—
469	#95	—	2	1	no	—
470	#95	—	2	1	no	—
471	#95	—	2	1	no	—
472	#95	—	2	1	no	—
473	#95	C₇×D₄	1	1	yes	characteristic
474	#95	C₇×D₄	1	1	yes	characteristic
475	C₂²×C₇	—	4	2	no	—
476	C₂²×C₇	—	4	2	no	—
477	C₂²×C₇	—	4	2	no	—
478	C₂²×C₇	—	4	2	no	—
479	C₂²×C₇	—	4	2	no	—
480	C₂²×C₇	—	4	2	no	—
481	C₂²×C₇	—	4	2	no	—
482	C₂²×C₇	—	4	2	no	—
483	C₂²×C₇	—	4	2	no	—
484	C₂²×C₇	—	8	1	no	—
485	C₂²×C₇	—	8	1	no	—
486	C₂²×C₇	—	8	1	no	—
487	C₂²×C₇	—	8	1	no	—
488	C₂²×C₇	—	8	1	no	—
489	C₂²×C₇	—	8	1	no	—
490	C₂²×C₇	—	8	1	no	—
491	C₂²×C₇	—	8	1	no	—
492	C₂²×C₇	—	8	1	no	—
493	C₂²×C₇	—	8	1	no	—
494	C₂²×C₇	—	8	1	no	—
495	C₂²×C₇	—	8	1	no	—
496	C₂²×C₇	C₂×C₄×D₄	1	1	yes	characteristic
497	C₂²×C₇	D₄²	1	1	yes	characteristic
498	C₂²×C₇	#550	1	1	yes	characteristic
499	C₂²×C₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
500	C₂²×C₇	#575	1	1	yes	characteristic
501	C₂²×C₇	#576	1	1	yes	characteristic
502	C₂²×C₇	#577	1	1	yes	characteristic
503	C₄×C₇	—	2	2	no	—
504	C₄×C₇	—	2	2	no	—
505	C₄×C₇	—	2	2	no	—
506	C₄×C₇	—	4	2	no	—
507	C₄×C₇	—	4	1	no	—
508	C₄×C₇	—	4	2	no	—
509	C₄×C₇	—	4	1	no	—
510	C₄×C₇	—	4	1	no	—
511	C₄×C₇	—	4	2	no	—
512	C₄×C₇	—	8	1	no	—
513	C₄×C₇	—	8	1	no	—
514	C₄×C₇	C₂×C₄×D₄	1	1	yes	characteristic
515	C₄×C₇	#518	1	1	yes	characteristic
516	C₄×C₇	#550	1	1	yes	characteristic
517	C₄×C₇	#559	1	1	yes	characteristic
518	C₂⁴	—	2	1	no	—
519	C₂⁴	—	2	1	no	—
520	C₂⁴	—	2	1	no	—
521	C₂×Q₈	—	2	1	no	—
522	C₂×Q₈	—	2	1	no	—
523	C₂×Q₈	—	2	1	no	—
524	C₂×Q₈	—	2	1	no	—
525	C₂×Q₈	—	2	1	no	—
526	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
527	C₂×D₄	—	2	4	no	—
528	C₂×D₄	—	2	4	no	—
529	C₂×D₄	—	2	1	no	—
530	C₂×D₄	—	2	1	no	—
531	C₂×D₄	—	2	1	no	—
532	C₂×D₄	—	2	1	no	—
533	C₂×D₄	—	2	1	no	—
534	C₂×D₄	—	2	1	no	—
535	C₂×D₄	—	2	1	no	—
536	C₂×D₄	—	2	1	no	—
537	C₂×D₄	—	2	1	no	—
538	C₂×D₄	—	2	1	no	—
539	C₂×D₄	—	2	1	no	—
540	C₂×D₄	—	2	1	no	—
541	C₂×D₄	—	2	1	no	—
542	C₂×D₄	—	2	1	no	—
543	C₂×D₄	—	2	1	no	—
544	C₂×D₄	—	4	2	no	—
545	C₂×D₄	—	4	2	no	—
546	C₂×D₄	—	8	1	no	—
547	C₂×D₄	—	8	1	no	—
548	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
549	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
550	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
551	C₂²×C₄	—	2	1	no	—
552	C₂²×C₄	—	2	1	no	—
553	C₂²×C₄	—	2	1	no	—
554	C₂²×C₄	—	2	1	no	—
555	C₂²×C₄	—	2	1	no	—
556	C₂²×C₄	—	4	2	no	—
557	C₂²×C₄	—	4	2	no	—
558	C₂²×C₄	—	4	2	no	—
559	C₂²×C₄	—	4	2	no	—
560	C₂²×C₄	—	4	2	no	—
561	C₂²×C₄	—	4	2	no	—
562	C₂²×C₄	—	8	1	no	—
563	C₂²×C₄	—	8	1	no	—
564	C₂²×C₄	—	8	1	no	—
565	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
566	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
567	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
568	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
569	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
570	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
571	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
572	SD₁₆	—	2	8	no	—
573	SD₁₆	—	4	4	no	—
574	D₈	—	2	8	no	—
575	D₈	—	4	4	no	—
576	C₂×C₈	—	2	1	no	—
577	C₂×C₈	—	2	1	no	—
578	C₂×C₈	—	2	1	no	—
579	C₂×C₈	—	2	1	no	—
580	C₂×C₈	—	2	1	no	—
581	C₂×C₈	—	2	1	no	—
582	C₂×C₈	—	2	1	no	—
583	C₂×C₈	—	2	1	no	—
584	C₂×C₈	C₂²×C₄×C₇	1	2	yes	—
585	C₂×C₈	C₂²×C₄×C₇	1	2	yes	—
586	C₂×C₈	C₂×C₇×D₄	1	2	yes	—
587	C₂×C₈	C₇×#41	1	2	yes	—
588	C₄⋊C₄	—	2	2	no	—
589	C₄⋊C₄	—	2	1	no	—
590	C₄⋊C₄	—	2	1	no	—
591	C₄⋊C₄	—	2	1	no	—
592	C₄⋊C₄	—	2	1	no	—
593	C₄⋊C₄	—	2	1	no	—
594	C₄⋊C₄	—	2	1	no	—
595	C₄⋊C₄	—	4	1	no	—
596	C₄⋊C₄	—	4	2	no	—
597	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
598	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
599	C₂²⋊C₄	—	2	4	no	—
600	C₂²⋊C₄	—	2	4	no	—
601	C₂²⋊C₄	—	4	2	no	—
602	C₂²⋊C₄	—	4	2	no	—
603	C₂²⋊C₄	—	4	2	no	—
604	C₂²⋊C₄	—	4	2	no	—
605	C₂²⋊C₄	—	4	2	no	—
606	C₂²⋊C₄	—	4	2	no	—
607	C₂²⋊C₄	—	8	1	no	—
608	C₂²⋊C₄	—	8	1	no	—
609	C₂²⋊C₄	—	8	1	no	—
610	C₄²	—	2	1	no	—
611	C₄²	—	2	1	no	—
612	C₄²	—	2	1	no	—
613	C₄²	—	2	1	no	—
614	C₄²	—	4	2	no	—
615	C₄²	—	4	2	no	—
616	C₄²	—	8	1	no	—
617	C₄²	C₂²×C₄×C₇	1	2	yes	—
618	C₄²	C₇×#41	1	2	yes	—
619	C₂×C₇	—	8	2	no	—
620	C₂×C₇	—	8	2	no	—
621	C₂×C₇	—	8	2	no	—
622	C₂×C₇	#2366	1	1	yes	characteristic
623	C₂×C₇	C₄×AGL(1,ℤ/8)	1	1	yes	characteristic
624	C₂×C₇	#2946	1	1	yes	characteristic
625	C₂×C₇	#3265	1	1	yes	characteristic
626	C₂×C₇	#3268	1	1	yes	characteristic
627	C₂×C₇	#3399	1	1	yes	characteristic
628	C₂×C₇	#3401	1	1	yes	characteristic
629	C₂³	—	2	2	no	—
630	C₂³	—	2	2	no	—
631	C₂³	—	2	2	no	—
632	C₂³	—	4	1	no	—
633	C₂³	—	4	1	no	—
634	C₂³	—	4	1	no	—
635	C₂³	—	4	1	no	—
636	C₂³	—	4	1	no	—
637	C₂³	—	4	1	no	—
638	C₂³	—	4	1	no	—
639	C₂³	—	4	1	no	—
640	C₂³	—	4	1	no	—
641	C₂³	—	4	1	no	—
642	C₂³	—	4	1	no	—
643	C₂³	—	4	1	no	—
644	C₂³	—	4	1	no	—
645	C₂³	—	4	1	no	—
646	C₂³	—	4	1	no	—
647	C₂³	—	4	1	no	—
648	C₂³	—	4	1	no	—
649	C₂³	—	4	1	no	—
650	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
651	Q₈	—	2	2	no	—
652	Q₈	—	2	2	no	—
653	Q₈	—	4	1	no	—
654	Q₈	—	4	1	no	—
655	D₄	—	2	2	no	—
656	D₄	—	2	2	no	—
657	D₄	—	2	2	no	—
658	D₄	—	2	2	no	—
659	D₄	—	2	2	no	—
660	D₄	—	2	2	no	—
661	D₄	—	4	8	no	—
662	D₄	—	4	1	no	—
663	D₄	—	4	1	no	—
664	D₄	—	4	1	no	—
665	D₄	—	4	1	no	—
666	D₄	—	4	1	no	—
667	D₄	—	4	1	no	—
668	D₄	—	8	4	no	—
669	C₂×C₄	—	2	1	no	—
670	C₂×C₄	—	2	1	no	—
671	C₂×C₄	—	2	1	no	—
672	C₂×C₄	—	2	1	no	—
673	C₂×C₄	—	2	1	no	—
674	C₂×C₄	—	2	1	no	—
675	C₂×C₄	—	2	2	no	—
676	C₂×C₄	—	2	1	no	—
677	C₂×C₄	—	2	1	no	—
678	C₂×C₄	—	2	1	no	—
679	C₂×C₄	—	2	2	no	—
680	C₂×C₄	—	2	2	no	—
681	C₂×C₄	—	2	1	no	—
682	C₂×C₄	—	2	1	no	—
683	C₂×C₄	—	2	1	no	—
684	C₂×C₄	—	2	1	no	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	1	no	—
687	C₂×C₄	—	4	1	no	—
688	C₂×C₄	—	4	1	no	—
689	C₂×C₄	—	4	1	no	—
690	C₂×C₄	—	4	1	no	—
691	C₂×C₄	—	4	1	no	—
692	C₂×C₄	—	4	1	no	—
693	C₂×C₄	—	4	1	no	—
694	C₂×C₄	—	4	1	no	—
695	C₂×C₄	—	4	1	no	—
696	C₂×C₄	—	4	1	no	—
697	C₂×C₄	—	4	1	no	—
698	C₂×C₄	—	4	1	no	—
699	C₂×C₄	—	8	4	no	—
700	C₂×C₄	—	8	4	no	—
701	C₂×C₄	—	8	4	no	—
702	C₂×C₄	C₄×C₇×D₄	1	2	yes	—
703	C₂×C₄	C₄×C₇×D₄	1	2	yes	—
704	C₂×C₄	C₇×AGL(1,ℤ/8)	1	2	yes	—
705	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
706	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
707	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
708	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
709	C₂×C₄	C₇×H(5,𝔽₂)	1	1	yes	characteristic
710	C₂×C₄	C₇×H(5,𝔽₂)	1	1	yes	characteristic
711	C₈	—	2	2	no	—
712	C₈	—	4	1	no	—
713	C₈	—	4	1	no	—
714	C₈	C₄×C₇×D₄	1	4	yes	complemented
715	C₇	#23193	1	1	yes	characteristic, direct product factor, Sylow
716	C₂²	—	4	2	no	—
717	C₂²	—	4	2	no	—
718	C₂²	—	4	2	no	—
719	C₂²	—	4	2	no	—
720	C₂²	—	4	2	no	—
721	C₂²	—	4	2	no	—
722	C₂²	—	4	2	no	—
723	C₂²	—	4	2	no	—
724	C₂²	—	4	2	no	—
725	C₂²	—	8	1	no	—
726	C₂²	—	8	1	no	—
727	C₂²	—	8	1	no	—
728	C₂²	—	8	1	no	—
729	C₂²	—	8	1	no	—
730	C₂²	—	8	1	no	—
731	C₂²	—	8	1	no	—
732	C₂²	—	8	1	no	—
733	C₂²	—	8	1	no	—
734	C₂²	—	8	1	no	—
735	C₂²	—	8	1	no	—
736	C₂²	—	8	1	no	—
737	C₂²	C₂×C₄×C₇×D₄	1	1	yes	characteristic
738	C₂²	C₇×D₄²	1	1	yes	characteristic
739	C₂²	C₇×#550	1	1	yes	characteristic
740	C₂²	C₂×C₇×AGL(1,ℤ/8)	1	1	yes	characteristic
741	C₂²	C₇×#575	1	1	yes	characteristic
742	C₂²	C₇×#576	1	1	yes	characteristic
743	C₂²	C₇×#577	1	1	yes	characteristic
744	C₄	—	2	2	no	—
745	C₄	—	2	2	no	—
746	C₄	—	2	2	no	—
747	C₄	—	4	1	no	—
748	C₄	—	4	2	no	—
749	C₄	—	4	1	no	—
750	C₄	—	4	1	no	—
751	C₄	—	4	2	no	—
752	C₄	—	4	2	no	—
753	C₄	—	8	1	no	—
754	C₄	—	8	1	no	—
755	C₄	C₂×C₄×C₇×D₄	1	1	yes	characteristic
756	C₄	C₇×#518	1	1	yes	characteristic
757	C₄	C₇×#550	1	1	yes	characteristic
758	C₄	C₇×#559	1	1	yes	characteristic
759	C₂	—	8	2	no	—
760	C₂	—	8	2	no	—
761	C₂	—	8	2	no	—
762	C₂	C₇×#2366	1	1	yes	characteristic
763	C₂	C₄×C₇×AGL(1,ℤ/8)	1	1	yes	characteristic
764	C₂	C₇×#2946	1	1	yes	characteristic
765	C₂	C₇×#3265	1	1	yes	characteristic
766	C₂	C₇×#3268	1	1	yes	characteristic
767	C₂	C₇×#3399	1	1	yes	characteristic
768	C₂	C₇×#3401	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₇
Frattini, cosocle	C₂²×C₄	C₂⁴×C₇
prime radical	C₂×C₇×#496	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₇ ◁ C₄×C₇×C₄⋊C₄ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₇×#442	C₂	semidirect
3. C₂×C₄×C₇×SD₁₆	C₂	semidirect
4. C₇×#2367	C₂	semidirect
5. C₇×#2366	C₂	semidirect
6. C₇×#1983	C₂	semidirect
7. C₇×#1982	C₂	semidirect
8. C₇×#1973	C₂	semidirect
9. C₇×#1970	C₂	semidirect
10. C₇×#1880	C₂	semidirect
11. C₇×#1879	C₂	semidirect
12. C₇×#1879	C₂	semidirect
13. C₇×#1877	C₂	semidirect
14. C₇×#1776	C₂	semidirect
15. C₇×#1771	C₂	semidirect
27. C₇×#496	C₄	semidirect
62. #23193	C₇	direct (N × H)
76. C₂×C₇×SD₁₆	C₂×C₄	semidirect
77. C₂×C₇×SD₁₆	C₂×C₄	semidirect
82. C₂×C₇×D₈	C₂×C₄	semidirect
83. C₂×C₇×D₈	C₂×C₄	semidirect
89. C₇×#127	C₂×C₄	semidirect
91. C₇×#124	C₂×C₄	semidirect
126. C₇×#106	D₄	semidirect
137. C₇×#97	C₂×C₄	semidirect
146. C₂×#442	C₂×C₇	semidirect
147. C₂×C₄×SD₁₆	C₂×C₇	semidirect
148. #2367	C₂×C₇	semidirect
149. #2366	C₂×C₇	semidirect
150. #1983	C₂×C₇	semidirect
151. #1982	C₂×C₇	semidirect
152. #1973	C₂×C₇	semidirect
153. #1970	C₂×C₇	semidirect
154. #1880	C₂×C₇	semidirect
155. #1879	C₂×C₇	semidirect
156. #1879	C₂×C₇	semidirect
157. #1877	C₂×C₇	semidirect
158. #1776	C₂×C₇	semidirect
159. #1771	C₂×C₇	semidirect
272. #496	C₄×C₇	semidirect
392. C₇×C₈	C₄×D₄	semidirect
406. C₂×SD₁₆	C₂×C₄×C₇	semidirect
407. C₂×SD₁₆	C₂×C₄×C₇	semidirect
412. C₂×D₈	C₂×C₄×C₇	semidirect
413. C₂×D₈	C₂×C₄×C₇	semidirect
419. #127	C₂×C₄×C₇	semidirect
421. #124	C₂×C₄×C₇	semidirect
456. #106	C₇×D₄	semidirect
467. #97	C₂×C₄×C₇	semidirect
714. C₈	C₄×C₇×D₄	semidirect
715. C₇	#23193	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×#496	2
C₂×C₇×#442	2
C₂×C₄×C₇×SD₁₆	2
C₇×#2367	2
C₇×#2366	2
C₇×#1983	2
C₇×#1982	2
C₇×#1973	2
C₇×#1970	2
C₇×#1880	2
C₇×#1879	2
C₇×#1877	2
C₇×#1776	2
C₇×#1771	2
#23193	7

Subgroups — C7×#23193 #13200409

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#23193 #13200409