Subgroups — C₇×#21462 #13198678

Order 1792.

1400 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×#519	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₇×#448	C₂	1	1	yes	maximal, characteristic
3	C₂×C₇×#440	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₄×C₇×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#2324	C₂	1	1	yes	maximal, characteristic
6	C₇×#1880	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#1880	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#1875	C₂	1	1	yes	maximal, characteristic
9	C₇×#1865	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#1863	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#1854	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#1787	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#1763	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₇×#103	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#1750	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×C₇×Q₈	C₂²	1	1	yes	characteristic
17	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
18	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
19	C₂×C₇×#121	C₂²	1	1	yes	characteristic
20	C₇×#519	—	2	4	no	—
21	C₇×#519	—	2	4	no	—
22	C₂×C₄×C₇×Q₈	—	2	1	no	—
23	C₂×C₄×C₇×Q₈	—	2	1	no	—
24	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
26	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
27	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
29	C₂×C₇×#117	—	2	1	no	—
30	C₂×C₇×#117	—	2	1	no	—
31	C₂×C₇×#117	C₂²	1	1	yes	characteristic
32	C₂×C₇×#117	C₂²	1	1	yes	characteristic
33	C₇×#448	C₄	1	8	yes	complemented
34	C₇×#440	—	2	4	no	—
35	C₄×C₇×SD₁₆	—	2	4	no	—
36	C₂×C₇×#107	C₂²	1	1	yes	characteristic
37	C₂×C₇×#106	C₂²	1	1	yes	characteristic
38	C₂×C₇×#103	C₂²	1	1	yes	characteristic
39	C₂×C₇×#103	C₂²	1	1	yes	characteristic
40	C₂×C₇×#103	C₂²	1	1	yes	characteristic
41	C₂×C₇×#103	C₂²	1	1	yes	characteristic
42	C₂×C₇×#103	C₂²	1	1	yes	characteristic
43	C₂×C₇×#103	C₂²	1	1	yes	characteristic
44	C₂×C₇×#102	C₂²	1	1	yes	characteristic
45	C₂×C₇×#102	C₂²	1	1	yes	characteristic
46	C₂×C₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
47	C₂×C₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
48	C₂×C₇×#97	C₂²	1	1	yes	characteristic
49	C₂×C₄×C₇×C₈	C₂²	1	1	yes	characteristic
50	C₇×#390	—	2	1	no	—
51	C₇×#390	C₂²	1	1	yes	characteristic
52	C₇×#389	C₂²	1	1	yes	characteristic
53	C₇×#388	—	2	1	no	—
54	C₇×#386	—	2	1	no	—
55	C₇×#385	—	2	1	no	—
56	C₇×#380	C₂²	1	1	yes	characteristic
57	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
58	C₇×#340	C₂²	1	1	yes	characteristic
59	C₇×#340	C₂²	1	1	yes	characteristic
60	C₇×#340	C₂²	1	1	yes	characteristic
61	C₇×#340	C₂²	1	1	yes	characteristic
62	C₇×#336	C₂²	1	1	yes	characteristic
63	C₇×#336	C₂²	1	1	yes	characteristic
64	#21462	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
65	C₂²×C₇×Q₈	—	2	2	no	—
66	C₂²×C₇×Q₈	—	2	2	no	—
67	C₂²×C₇×Q₈	—	2	2	no	—
68	C₂²×C₇×Q₈	—	2	2	no	—
69	C₂²×C₇×Q₈	—	2	1	no	—
70	C₂²×C₇×Q₈	—	2	2	no	—
71	C₂²×C₇×Q₈	C₂×C₄	1	4	yes	complemented
72	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
73	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
74	C₂²×C₇×D₄	—	2	1	no	—
75	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
76	C₂³×C₄×C₇	—	2	1	no	—
77	C₂³×C₄×C₇	—	2	1	no	—
78	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
79	C₂×C₇×SD₁₆	—	2	2	no	—
80	C₂×C₇×SD₁₆	—	2	2	no	—
81	C₂×C₇×SD₁₆	—	2	2	no	—
82	C₂×C₇×SD₁₆	—	2	2	no	—
83	C₂×C₇×SD₁₆	C₂×C₄	1	4	yes	—
84	C₂×C₇×SD₁₆	C₂×C₄	1	4	yes	—
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	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
89	C₇×#121	—	2	2	no	—
90	C₇×#121	C₂×C₄	1	4	yes	—
91	C₄×C₇×Q₈	—	2	8	no	—
92	C₄×C₇×Q₈	—	2	8	no	—
93	C₄×C₇×Q₈	—	2	2	no	—
94	C₄×C₇×Q₈	—	2	2	no	—
95	C₄×C₇×Q₈	—	2	2	no	—
96	C₄×C₇×Q₈	—	2	2	no	—
97	C₄×C₇×Q₈	—	2	2	no	—
98	C₄×C₇×Q₈	—	2	2	no	—
99	C₄×C₇×Q₈	D₄	1	4	yes	complemented
100	C₄×C₇×Q₈	D₄	1	4	yes	complemented
101	C₄×C₇×D₄	—	2	2	no	—
102	C₄×C₇×D₄	—	2	2	no	—
103	C₇×#117	—	2	8	no	—
104	C₇×#117	—	2	8	no	—
105	C₇×#117	—	2	2	no	—
106	C₇×#117	—	2	2	no	—
107	C₇×#117	—	2	2	no	—
108	C₇×#117	—	2	2	no	—
109	C₂×C₇×C₄⋊C₄	—	2	1	no	—
110	C₂×C₇×C₄⋊C₄	—	2	1	no	—
111	C₂×C₇×C₄⋊C₄	—	2	1	no	—
112	C₂×C₇×C₄⋊C₄	—	2	1	no	—
113	C₂×C₇×C₄⋊C₄	—	2	1	no	—
114	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
115	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
116	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
117	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
118	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
119	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
120	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
121	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
122	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
123	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
124	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
125	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
126	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
127	C₂×C₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
128	C₂×C₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
129	C₂×C₄²×C₇	—	2	1	no	—
130	C₂×C₄²×C₇	—	2	1	no	—
131	C₂×C₄²×C₇	—	2	1	no	—
132	C₂×C₄²×C₇	—	2	1	no	—
133	C₂×C₄²×C₇	—	2	1	no	—
134	C₂×C₄²×C₇	—	2	1	no	—
135	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
136	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
137	C₇×#107	—	2	2	no	—
138	C₇×#106	—	2	2	no	—
139	C₇×#103	—	2	2	no	—
140	C₇×#103	—	2	2	no	—
141	C₇×#103	—	2	2	no	—
142	C₇×#103	—	2	2	no	—
143	C₇×#103	C₂×C₄	1	4	yes	complemented
144	C₇×#103	C₂×C₄	1	4	yes	complemented
145	C₇×#102	—	2	2	no	—
146	C₇×#102	—	2	2	no	—
147	C₇×C₂²⋊C₈	—	2	2	no	—
148	C₇×C₂²⋊C₈	C₂×C₄	1	4	yes	complemented
149	C₇×#97	—	2	2	no	—
150	C₄×C₇×C₈	—	2	2	no	—
151	C₇×#95	—	2	1	no	—
152	C₇×#95	—	2	1	no	—
153	C₇×#95	—	2	1	no	—
154	C₂×#519	C₂×C₇	1	1	yes	characteristic, complemented
155	C₂×#448	C₂×C₇	1	1	yes	characteristic
156	C₂×#440	C₂×C₇	1	1	yes	characteristic, complemented
157	C₂×C₄×SD₁₆	C₂×C₇	1	1	yes	characteristic, complemented
158	#2324	C₂×C₇	1	1	yes	characteristic
159	#1880	C₂×C₇	1	1	yes	characteristic, complemented
160	#1880	C₂×C₇	1	1	yes	characteristic, complemented
161	#1875	C₂×C₇	1	1	yes	characteristic
162	#1865	C₂×C₇	1	1	yes	characteristic, complemented
163	#1863	C₂×C₇	1	1	yes	characteristic, complemented
164	#1854	C₂×C₇	1	1	yes	characteristic, complemented
165	#1787	C₂×C₇	1	1	yes	characteristic, complemented
166	#1763	C₂×C₇	1	1	yes	characteristic, complemented
167	C₄×#103	C₂×C₇	1	1	yes	characteristic, complemented
168	#1750	C₂×C₇	1	1	yes	characteristic, complemented
169	C₂⁴×C₇	—	2	1	no	—
170	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
171	C₂×C₇×Q₈	—	2	4	no	—
172	C₂×C₇×Q₈	—	2	8	no	—
173	C₂×C₇×Q₈	—	2	8	no	—
174	C₂×C₇×Q₈	—	2	4	no	—
175	C₂×C₇×Q₈	—	2	8	no	—
176	C₂×C₇×Q₈	—	2	8	no	—
177	C₂×C₇×Q₈	—	2	4	no	—
178	C₂×C₇×Q₈	—	2	1	no	—
179	C₂×C₇×Q₈	—	2	1	no	—
180	C₂×C₇×Q₈	—	2	1	no	—
181	C₂×C₇×Q₈	—	2	1	no	—
182	C₂×C₇×Q₈	—	2	1	no	—
183	C₂×C₇×Q₈	—	2	1	no	—
184	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
185	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
186	C₂×C₇×Q₈	C₂×D₄	1	2	yes	—
187	C₂×C₇×Q₈	C₂×D₄	1	2	yes	—
188	C₂×C₇×Q₈	#41	1	2	yes	—
189	C₂×C₇×Q₈	#41	1	2	yes	—
190	C₂×C₇×D₄	—	2	4	no	—
191	C₂×C₇×D₄	—	2	1	no	—
192	C₂×C₇×D₄	—	2	1	no	—
193	C₂×C₇×D₄	—	2	1	no	—
194	C₂×C₇×D₄	—	2	1	no	—
195	C₂×C₇×D₄	—	2	1	no	—
196	C₂×C₇×D₄	—	8	1	no	—
197	C₂×C₇×D₄	—	8	1	no	—
198	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
199	C₂²×C₄×C₇	—	2	4	no	—
200	C₂²×C₄×C₇	—	2	4	no	—
201	C₂²×C₄×C₇	—	2	4	no	—
202	C₂²×C₄×C₇	—	2	1	no	—
203	C₂²×C₄×C₇	—	2	1	no	—
204	C₂²×C₄×C₇	—	2	1	no	—
205	C₂²×C₄×C₇	—	2	1	no	—
206	C₂²×C₄×C₇	—	2	1	no	—
207	C₂²×C₄×C₇	—	2	1	no	—
208	C₂²×C₄×C₇	—	2	1	no	—
209	C₂²×C₄×C₇	—	2	1	no	—
210	C₂²×C₄×C₇	—	2	1	no	—
211	C₂²×C₄×C₇	—	2	1	no	—
212	C₂²×C₄×C₇	—	2	1	no	—
213	C₂²×C₄×C₇	—	4	2	no	—
214	C₂²×C₄×C₇	—	8	1	no	—
215	C₂²×C₄×C₇	—	8	1	no	—
216	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
217	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
218	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
219	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
220	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
221	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
222	C₂²×C₄×C₇	#41	1	2	yes	—
223	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
224	C₇×SD₁₆	—	2	8	no	—
225	C₇×SD₁₆	—	2	8	no	—
226	C₂×C₇×C₈	—	2	1	no	—
227	C₂×C₇×C₈	—	2	1	no	—
228	C₂×C₇×C₈	—	2	1	no	—
229	C₂×C₇×C₈	—	2	1	no	—
230	C₂×C₇×C₈	—	2	1	no	—
231	C₂×C₇×C₈	—	2	1	no	—
232	C₂×C₇×C₈	—	2	1	no	—
233	C₂×C₇×C₈	—	2	1	no	—
234	C₂×C₇×C₈	—	2	1	no	—
235	C₂×C₇×C₈	—	2	1	no	—
236	C₂×C₇×C₈	C₂²×C₄	1	2	yes	—
237	C₂×C₇×C₈	C₂²×C₄	1	2	yes	—
238	C₇×C₄⋊C₄	—	2	4	no	—
239	C₇×C₄⋊C₄	—	2	4	no	—
240	C₇×C₄⋊C₄	—	2	4	no	—
241	C₇×C₄⋊C₄	—	2	4	no	—
242	C₇×C₄⋊C₄	—	2	2	no	—
243	C₇×C₄⋊C₄	—	2	2	no	—
244	C₇×C₄⋊C₄	—	2	1	no	—
245	C₇×C₄⋊C₄	—	2	1	no	—
246	C₇×C₄⋊C₄	—	2	1	no	—
247	C₇×C₄⋊C₄	—	2	1	no	—
248	C₇×C₄⋊C₄	—	2	1	no	—
249	C₇×C₄⋊C₄	—	2	1	no	—
250	C₇×C₄⋊C₄	—	2	1	no	—
251	C₇×C₄⋊C₄	—	8	1	no	—
252	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
253	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
254	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
255	C₇×C₂²⋊C₄	—	2	4	no	—
256	C₇×C₂²⋊C₄	—	2	4	no	—
257	C₇×C₂²⋊C₄	—	2	2	no	—
258	C₇×C₂²⋊C₄	—	2	2	no	—
259	C₇×C₂²⋊C₄	—	4	2	no	—
260	C₇×C₂²⋊C₄	—	8	1	no	—
261	C₇×C₂²⋊C₄	—	8	1	no	—
262	C₇×C₂²⋊C₄	—	8	1	no	—
263	C₄²×C₇	—	2	4	no	—
264	C₄²×C₇	—	2	4	no	—
265	C₄²×C₇	—	2	4	no	—
266	C₄²×C₇	—	2	4	no	—
267	C₄²×C₇	—	2	4	no	—
268	C₄²×C₇	—	2	1	no	—
269	C₄²×C₇	—	2	1	no	—
270	C₄²×C₇	—	8	1	no	—
271	C₄²×C₇	C₂×D₄	1	2	yes	—
272	C₄²×C₇	C₂×D₄	1	2	yes	—
273	C₂³×Q₈	C₂²×C₇	1	1	yes	characteristic
274	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
275	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
276	C₂×#121	C₂²×C₇	1	1	yes	characteristic
277	#519	—	2	4	no	—
278	#519	—	2	4	no	—
279	C₂×C₄×Q₈	—	2	1	no	—
280	C₂×C₄×Q₈	—	2	1	no	—
281	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
282	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
283	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
284	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
285	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
286	C₂×#117	—	2	1	no	—
287	C₂×#117	—	2	1	no	—
288	C₂×#117	C₂²×C₇	1	1	yes	characteristic
289	C₂×#117	C₂²×C₇	1	1	yes	characteristic
290	#448	C₄×C₇	1	8	yes	complemented
291	#440	—	2	4	no	—
292	C₄×SD₁₆	—	2	4	no	—
293	C₂×#107	C₂²×C₇	1	1	yes	characteristic
294	C₂×#106	C₂²×C₇	1	1	yes	characteristic
295	C₂×#103	C₂²×C₇	1	1	yes	characteristic
296	C₂×#103	C₂²×C₇	1	1	yes	characteristic
297	C₂×#103	C₂²×C₇	1	1	yes	characteristic
298	C₂×#103	C₂²×C₇	1	1	yes	characteristic
299	C₂×#103	C₂²×C₇	1	1	yes	characteristic
300	C₂×#103	C₂²×C₇	1	1	yes	characteristic
301	C₂×#102	C₂²×C₇	1	1	yes	characteristic
302	C₂×#102	C₂²×C₇	1	1	yes	characteristic
303	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic
304	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic
305	C₂×#97	C₂²×C₇	1	1	yes	characteristic
306	C₂×C₄×C₈	C₂²×C₇	1	1	yes	characteristic
307	#390	—	2	1	no	—
308	#390	C₂²×C₇	1	1	yes	characteristic
309	#389	C₂²×C₇	1	1	yes	characteristic
310	#388	—	2	1	no	—
311	#386	—	2	1	no	—
312	#385	—	2	1	no	—
313	#380	C₂²×C₇	1	1	yes	characteristic
314	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
315	#340	C₂²×C₇	1	1	yes	characteristic
316	#340	C₂²×C₇	1	1	yes	characteristic
317	#340	C₂²×C₇	1	1	yes	characteristic
318	#340	C₂²×C₇	1	1	yes	characteristic
319	#336	C₂²×C₇	1	1	yes	characteristic
320	#336	C₂²×C₇	1	1	yes	characteristic
321	C₂³×C₇	—	2	1	no	—
322	C₂³×C₇	—	2	1	no	—
323	C₂³×C₇	—	2	1	no	—
324	C₂³×C₇	—	2	1	no	—
325	C₂³×C₇	—	2	1	no	—
326	C₂³×C₇	—	2	1	no	—
327	C₂³×C₇	—	2	2	no	—
328	C₂³×C₇	—	4	1	no	—
329	C₂³×C₇	—	4	1	no	—
330	C₂³×C₇	—	4	1	no	—
331	C₂³×C₇	—	4	1	no	—
332	C₂³×C₇	—	4	1	no	—
333	C₂³×C₇	—	4	1	no	—
334	C₂³×C₇	C₄×D₄	1	2	yes	—
335	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
336	C₇×Q₈	—	2	16	no	—
337	C₇×Q₈	—	2	2	no	—
338	C₇×Q₈	—	2	2	no	—
339	C₇×Q₈	—	2	2	no	—
340	C₇×Q₈	—	2	2	no	—
341	C₇×Q₈	—	2	2	no	—
342	C₇×Q₈	—	2	2	no	—
343	C₇×Q₈	C₄×D₄	1	4	yes	—
344	C₇×Q₈	C₄×D₄	1	4	yes	—
345	C₇×D₄	—	2	2	no	—
346	C₇×D₄	—	2	2	no	—
347	C₇×D₄	—	4	1	no	—
348	C₇×D₄	—	4	1	no	—
349	C₇×D₄	—	8	4	no	—
350	C₂×C₄×C₇	—	2	16	no	—
351	C₂×C₄×C₇	—	2	2	no	—
352	C₂×C₄×C₇	—	2	2	no	—
353	C₂×C₄×C₇	—	2	2	no	—
354	C₂×C₄×C₇	—	2	2	no	—
355	C₂×C₄×C₇	—	2	1	no	—
356	C₂×C₄×C₇	—	2	2	no	—
357	C₂×C₄×C₇	—	2	2	no	—
358	C₂×C₄×C₇	—	2	1	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	2	no	—
364	C₂×C₄×C₇	—	2	2	no	—
365	C₂×C₄×C₇	—	2	2	no	—
366	C₂×C₄×C₇	—	2	2	no	—
367	C₂×C₄×C₇	—	2	2	no	—
368	C₂×C₄×C₇	—	2	1	no	—
369	C₂×C₄×C₇	—	2	1	no	—
370	C₂×C₄×C₇	—	2	2	no	—
371	C₂×C₄×C₇	—	2	2	no	—
372	C₂×C₄×C₇	—	2	1	no	—
373	C₂×C₄×C₇	—	2	1	no	—
374	C₂×C₄×C₇	—	2	1	no	—
375	C₂×C₄×C₇	—	2	1	no	—
376	C₂×C₄×C₇	—	4	1	no	—
377	C₂×C₄×C₇	—	4	1	no	—
378	C₂×C₄×C₇	—	4	1	no	—
379	C₂×C₄×C₇	—	4	1	no	—
380	C₂×C₄×C₇	—	4	1	no	—
381	C₂×C₄×C₇	—	4	1	no	—
382	C₂×C₄×C₇	—	4	1	no	—
383	C₂×C₄×C₇	—	4	1	no	—
384	C₂×C₄×C₇	—	4	1	no	—
385	C₂×C₄×C₇	—	4	1	no	—
386	C₂×C₄×C₇	—	4	1	no	—
387	C₂×C₄×C₇	—	4	1	no	—
388	C₂×C₄×C₇	—	8	4	no	—
389	C₂×C₄×C₇	C₄×D₄	1	2	yes	—
390	C₂×C₄×C₇	#120	1	2	yes	—
391	C₂×C₄×C₇	#120	1	2	yes	—
392	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
393	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
394	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
395	C₂×C₄×C₇	C₂×#41	1	1	yes	characteristic
396	C₂×C₄×C₇	C₂×#41	1	1	yes	characteristic
397	C₂×C₄×C₇	C₂×#41	1	1	yes	characteristic
398	C₇×C₈	—	2	2	no	—
399	C₇×C₈	—	2	2	no	—
400	C₇×C₈	—	4	1	no	—
401	C₇×C₈	—	4	1	no	—
402	C₂²×Q₈	—	2	2	no	—
403	C₂²×Q₈	—	2	2	no	—
404	C₂²×Q₈	—	2	2	no	—
405	C₂²×Q₈	—	2	2	no	—
406	C₂²×Q₈	—	2	1	no	—
407	C₂²×Q₈	—	2	2	no	—
408	C₂²×Q₈	C₂×C₄×C₇	1	4	yes	complemented
409	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
410	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
411	C₂²×D₄	—	2	1	no	—
412	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
413	C₂³×C₄	—	2	1	no	—
414	C₂³×C₄	—	2	1	no	—
415	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
416	C₂×SD₁₆	—	2	2	no	—
417	C₂×SD₁₆	—	2	2	no	—
418	C₂×SD₁₆	—	2	2	no	—
419	C₂×SD₁₆	—	2	2	no	—
420	C₂×SD₁₆	C₂×C₄×C₇	1	4	yes	—
421	C₂×SD₁₆	C₂×C₄×C₇	1	4	yes	—
422	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
423	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
424	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
425	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
426	#121	—	2	2	no	—
427	#121	C₂×C₄×C₇	1	4	yes	—
428	C₄×Q₈	—	2	8	no	—
429	C₄×Q₈	—	2	8	no	—
430	C₄×Q₈	—	2	2	no	—
431	C₄×Q₈	—	2	2	no	—
432	C₄×Q₈	—	2	2	no	—
433	C₄×Q₈	—	2	2	no	—
434	C₄×Q₈	—	2	2	no	—
435	C₄×Q₈	—	2	2	no	—
436	C₄×Q₈	C₇×D₄	1	4	yes	complemented
437	C₄×Q₈	C₇×D₄	1	4	yes	complemented
438	C₄×D₄	—	2	2	no	—
439	C₄×D₄	—	2	2	no	—
440	#117	—	2	8	no	—
441	#117	—	2	8	no	—
442	#117	—	2	2	no	—
443	#117	—	2	2	no	—
444	#117	—	2	2	no	—
445	#117	—	2	2	no	—
446	C₂×C₄⋊C₄	—	2	1	no	—
447	C₂×C₄⋊C₄	—	2	1	no	—
448	C₂×C₄⋊C₄	—	2	1	no	—
449	C₂×C₄⋊C₄	—	2	1	no	—
450	C₂×C₄⋊C₄	—	2	1	no	—
451	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
452	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
453	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
454	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
455	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
456	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
457	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
458	C₂×C₂²⋊C₄	—	2	1	no	—
459	C₂×C₂²⋊C₄	—	2	1	no	—
460	C₂×C₂²⋊C₄	—	2	1	no	—
461	C₂×C₂²⋊C₄	—	2	1	no	—
462	C₂×C₂²⋊C₄	—	2	1	no	—
463	C₂×C₂²⋊C₄	—	2	1	no	—
464	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
465	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
466	C₂×C₄²	—	2	1	no	—
467	C₂×C₄²	—	2	1	no	—
468	C₂×C₄²	—	2	1	no	—
469	C₂×C₄²	—	2	1	no	—
470	C₂×C₄²	—	2	1	no	—
471	C₂×C₄²	—	2	1	no	—
472	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
473	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
474	#107	—	2	2	no	—
475	#106	—	2	2	no	—
476	#103	—	2	2	no	—
477	#103	—	2	2	no	—
478	#103	—	2	2	no	—
479	#103	—	2	2	no	—
480	#103	C₂×C₄×C₇	1	4	yes	complemented
481	#103	C₂×C₄×C₇	1	4	yes	complemented
482	#102	—	2	2	no	—
483	#102	—	2	2	no	—
484	C₂²⋊C₈	—	2	2	no	—
485	C₂²⋊C₈	C₂×C₄×C₇	1	4	yes	complemented
486	#97	—	2	2	no	—
487	C₄×C₈	—	2	2	no	—
488	#95	—	2	1	no	—
489	#95	—	2	1	no	—
490	#95	—	2	1	no	—
491	C₂²×C₇	—	2	2	no	—
492	C₂²×C₇	—	2	2	no	—
493	C₂²×C₇	—	2	2	no	—
494	C₂²×C₇	—	4	1	no	—
495	C₂²×C₇	—	4	1	no	—
496	C₂²×C₇	—	4	1	no	—
497	C₂²×C₇	—	4	1	no	—
498	C₂²×C₇	—	4	2	no	—
499	C₂²×C₇	—	4	2	no	—
500	C₂²×C₇	—	4	2	no	—
501	C₂²×C₇	—	8	1	no	—
502	C₂²×C₇	—	8	1	no	—
503	C₂²×C₇	—	8	1	no	—
504	C₂²×C₇	—	8	1	no	—
505	C₂²×C₇	C₂×C₄×D₄	1	1	yes	characteristic
506	C₂²×C₇	C₂×#120	1	1	yes	characteristic
507	C₂²×C₇	#525	1	1	yes	characteristic
508	C₂²×C₇	#577	1	1	yes	characteristic
509	C₂²×C₇	#577	1	1	yes	characteristic
510	C₂²×C₇	#577	1	1	yes	characteristic
511	C₂²×C₇	#578	1	1	yes	characteristic
512	C₄×C₇	—	2	2	no	—
513	C₄×C₇	—	2	2	no	—
514	C₄×C₇	—	2	4	no	—
515	C₄×C₇	—	2	4	no	—
516	C₄×C₇	—	2	2	no	—
517	C₄×C₇	—	4	2	no	—
518	C₄×C₇	—	4	1	no	—
519	C₄×C₇	—	4	2	no	—
520	C₄×C₇	—	4	1	no	—
521	C₄×C₇	—	4	2	no	—
522	C₄×C₇	—	8	1	no	—
523	C₄×C₇	—	8	1	no	—
524	C₄×C₇	C₂×C₄×D₄	1	1	yes	characteristic
525	C₄×C₇	C₂×C₄×D₄	1	1	yes	characteristic
526	C₄×C₇	#525	1	1	yes	characteristic
527	C₄×C₇	#525	1	1	yes	characteristic
528	C₂⁴	—	2	1	no	—
529	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
530	C₂×Q₈	—	2	4	no	—
531	C₂×Q₈	—	2	8	no	—
532	C₂×Q₈	—	2	8	no	—
533	C₂×Q₈	—	2	4	no	—
534	C₂×Q₈	—	2	8	no	—
535	C₂×Q₈	—	2	8	no	—
536	C₂×Q₈	—	2	4	no	—
537	C₂×Q₈	—	2	1	no	—
538	C₂×Q₈	—	2	1	no	—
539	C₂×Q₈	—	2	1	no	—
540	C₂×Q₈	—	2	1	no	—
541	C₂×Q₈	—	2	1	no	—
542	C₂×Q₈	—	2	1	no	—
543	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
544	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
545	C₂×Q₈	C₂×C₇×D₄	1	2	yes	—
546	C₂×Q₈	C₂×C₇×D₄	1	2	yes	—
547	C₂×Q₈	C₇×#41	1	2	yes	—
548	C₂×Q₈	C₇×#41	1	2	yes	—
549	C₂×D₄	—	2	4	no	—
550	C₂×D₄	—	2	1	no	—
551	C₂×D₄	—	2	1	no	—
552	C₂×D₄	—	2	1	no	—
553	C₂×D₄	—	2	1	no	—
554	C₂×D₄	—	2	1	no	—
555	C₂×D₄	—	8	1	no	—
556	C₂×D₄	—	8	1	no	—
557	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
558	C₂²×C₄	—	2	4	no	—
559	C₂²×C₄	—	2	4	no	—
560	C₂²×C₄	—	2	4	no	—
561	C₂²×C₄	—	2	1	no	—
562	C₂²×C₄	—	2	1	no	—
563	C₂²×C₄	—	2	1	no	—
564	C₂²×C₄	—	2	1	no	—
565	C₂²×C₄	—	2	1	no	—
566	C₂²×C₄	—	2	1	no	—
567	C₂²×C₄	—	2	1	no	—
568	C₂²×C₄	—	2	1	no	—
569	C₂²×C₄	—	2	1	no	—
570	C₂²×C₄	—	2	1	no	—
571	C₂²×C₄	—	2	1	no	—
572	C₂²×C₄	—	4	2	no	—
573	C₂²×C₄	—	8	1	no	—
574	C₂²×C₄	—	8	1	no	—
575	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
576	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
577	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
578	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
579	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
580	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
581	C₂²×C₄	C₇×#41	1	2	yes	—
582	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
583	SD₁₆	—	2	8	no	—
584	SD₁₆	—	2	8	no	—
585	C₂×C₈	—	2	1	no	—
586	C₂×C₈	—	2	1	no	—
587	C₂×C₈	—	2	1	no	—
588	C₂×C₈	—	2	1	no	—
589	C₂×C₈	—	2	1	no	—
590	C₂×C₈	—	2	1	no	—
591	C₂×C₈	—	2	1	no	—
592	C₂×C₈	—	2	1	no	—
593	C₂×C₈	—	2	1	no	—
594	C₂×C₈	—	2	1	no	—
595	C₂×C₈	C₂²×C₄×C₇	1	2	yes	—
596	C₂×C₈	C₂²×C₄×C₇	1	2	yes	—
597	C₄⋊C₄	—	2	4	no	—
598	C₄⋊C₄	—	2	4	no	—
599	C₄⋊C₄	—	2	4	no	—
600	C₄⋊C₄	—	2	4	no	—
601	C₄⋊C₄	—	2	2	no	—
602	C₄⋊C₄	—	2	2	no	—
603	C₄⋊C₄	—	2	1	no	—
604	C₄⋊C₄	—	2	1	no	—
605	C₄⋊C₄	—	2	1	no	—
606	C₄⋊C₄	—	2	1	no	—
607	C₄⋊C₄	—	2	1	no	—
608	C₄⋊C₄	—	2	1	no	—
609	C₄⋊C₄	—	2	1	no	—
610	C₄⋊C₄	—	8	1	no	—
611	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
612	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
613	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
614	C₂²⋊C₄	—	2	4	no	—
615	C₂²⋊C₄	—	2	4	no	—
616	C₂²⋊C₄	—	2	2	no	—
617	C₂²⋊C₄	—	2	2	no	—
618	C₂²⋊C₄	—	4	2	no	—
619	C₂²⋊C₄	—	8	1	no	—
620	C₂²⋊C₄	—	8	1	no	—
621	C₂²⋊C₄	—	8	1	no	—
622	C₄²	—	2	4	no	—
623	C₄²	—	2	4	no	—
624	C₄²	—	2	4	no	—
625	C₄²	—	2	4	no	—
626	C₄²	—	2	4	no	—
627	C₄²	—	2	1	no	—
628	C₄²	—	2	1	no	—
629	C₄²	—	8	1	no	—
630	C₄²	C₂×C₇×D₄	1	2	yes	—
631	C₄²	C₂×C₇×D₄	1	2	yes	—
632	C₂×C₇	—	4	2	no	—
633	C₂×C₇	—	8	2	no	—
634	C₂×C₇	C₄×#120	1	1	yes	characteristic
635	C₂×C₇	#2947	1	1	yes	characteristic
636	C₂×C₇	#2949	1	1	yes	characteristic
637	C₂×C₇	#3010	1	1	yes	characteristic
638	C₂×C₇	#3013	1	1	yes	characteristic
639	C₂×C₇	#3121	1	1	yes	characteristic
640	C₂×C₇	#3126	1	1	yes	characteristic
641	C₂³	—	2	1	no	—
642	C₂³	—	2	1	no	—
643	C₂³	—	2	1	no	—
644	C₂³	—	2	1	no	—
645	C₂³	—	2	1	no	—
646	C₂³	—	2	1	no	—
647	C₂³	—	2	2	no	—
648	C₂³	—	4	1	no	—
649	C₂³	—	4	1	no	—
650	C₂³	—	4	1	no	—
651	C₂³	—	4	1	no	—
652	C₂³	—	4	1	no	—
653	C₂³	—	4	1	no	—
654	C₂³	C₄×C₇×D₄	1	2	yes	—
655	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
656	Q₈	—	2	16	no	—
657	Q₈	—	2	2	no	—
658	Q₈	—	2	2	no	—
659	Q₈	—	2	2	no	—
660	Q₈	—	2	2	no	—
661	Q₈	—	2	2	no	—
662	Q₈	—	2	2	no	—
663	Q₈	C₄×C₇×D₄	1	4	yes	—
664	Q₈	C₄×C₇×D₄	1	4	yes	—
665	D₄	—	2	2	no	—
666	D₄	—	2	2	no	—
667	D₄	—	4	1	no	—
668	D₄	—	4	1	no	—
669	D₄	—	8	4	no	—
670	C₂×C₄	—	2	16	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	2	no	—
673	C₂×C₄	—	2	2	no	—
674	C₂×C₄	—	2	2	no	—
675	C₂×C₄	—	2	1	no	—
676	C₂×C₄	—	2	2	no	—
677	C₂×C₄	—	2	2	no	—
678	C₂×C₄	—	2	1	no	—
679	C₂×C₄	—	2	1	no	—
680	C₂×C₄	—	2	1	no	—
681	C₂×C₄	—	2	1	no	—
682	C₂×C₄	—	2	1	no	—
683	C₂×C₄	—	2	2	no	—
684	C₂×C₄	—	2	2	no	—
685	C₂×C₄	—	2	2	no	—
686	C₂×C₄	—	2	2	no	—
687	C₂×C₄	—	2	2	no	—
688	C₂×C₄	—	2	1	no	—
689	C₂×C₄	—	2	1	no	—
690	C₂×C₄	—	2	2	no	—
691	C₂×C₄	—	2	2	no	—
692	C₂×C₄	—	2	1	no	—
693	C₂×C₄	—	2	1	no	—
694	C₂×C₄	—	2	1	no	—
695	C₂×C₄	—	2	1	no	—
696	C₂×C₄	—	4	1	no	—
697	C₂×C₄	—	4	1	no	—
698	C₂×C₄	—	4	1	no	—
699	C₂×C₄	—	4	1	no	—
700	C₂×C₄	—	4	1	no	—
701	C₂×C₄	—	4	1	no	—
702	C₂×C₄	—	4	1	no	—
703	C₂×C₄	—	4	1	no	—
704	C₂×C₄	—	4	1	no	—
705	C₂×C₄	—	4	1	no	—
706	C₂×C₄	—	4	1	no	—
707	C₂×C₄	—	4	1	no	—
708	C₂×C₄	—	8	4	no	—
709	C₂×C₄	C₄×C₇×D₄	1	2	yes	—
710	C₂×C₄	C₇×#120	1	2	yes	—
711	C₂×C₄	C₇×#120	1	2	yes	—
712	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
713	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
714	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
715	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
716	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
717	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
718	C₈	—	2	2	no	—
719	C₈	—	2	2	no	—
720	C₈	—	4	1	no	—
721	C₈	—	4	1	no	—
722	C₇	#21462	1	1	yes	characteristic, direct product factor, Sylow
723	C₂²	—	2	2	no	—
724	C₂²	—	2	2	no	—
725	C₂²	—	2	2	no	—
726	C₂²	—	4	1	no	—
727	C₂²	—	4	1	no	—
728	C₂²	—	4	1	no	—
729	C₂²	—	4	1	no	—
730	C₂²	—	4	2	no	—
731	C₂²	—	4	2	no	—
732	C₂²	—	4	2	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	C₂×C₇×#120	1	1	yes	characteristic
739	C₂²	C₇×#525	1	1	yes	characteristic
740	C₂²	C₇×#577	1	1	yes	characteristic
741	C₂²	C₇×#577	1	1	yes	characteristic
742	C₂²	C₇×#577	1	1	yes	characteristic
743	C₂²	C₇×#578	1	1	yes	characteristic
744	C₄	—	2	2	no	—
745	C₄	—	2	2	no	—
746	C₄	—	2	4	no	—
747	C₄	—	2	4	no	—
748	C₄	—	2	2	no	—
749	C₄	—	4	2	no	—
750	C₄	—	4	1	no	—
751	C₄	—	4	2	no	—
752	C₄	—	4	1	no	—
753	C₄	—	4	2	no	—
754	C₄	—	8	1	no	—
755	C₄	—	8	1	no	—
756	C₄	C₂×C₄×C₇×D₄	1	1	yes	characteristic
757	C₄	C₂×C₄×C₇×D₄	1	1	yes	characteristic
758	C₄	C₇×#525	1	1	yes	characteristic
759	C₄	C₇×#525	1	1	yes	characteristic
760	C₂	—	4	2	no	—
761	C₂	—	8	2	no	—
762	C₂	C₄×C₇×#120	1	1	yes	characteristic
763	C₂	C₇×#2947	1	1	yes	characteristic
764	C₂	C₇×#2949	1	1	yes	characteristic
765	C₂	C₇×#3010	1	1	yes	characteristic
766	C₂	C₇×#3013	1	1	yes	characteristic
767	C₂	C₇×#3121	1	1	yes	characteristic
768	C₂	C₇×#3126	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×#121	C₂²
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
1. C₂×C₇×#519	C₂	semidirect
3. C₂×C₇×#440	C₂	semidirect
4. C₂×C₄×C₇×SD₁₆	C₂	semidirect
6. C₇×#1880	C₂	semidirect
7. C₇×#1880	C₂	semidirect
9. C₇×#1865	C₂	semidirect
10. C₇×#1863	C₂	semidirect
11. C₇×#1854	C₂	semidirect
12. C₇×#1787	C₂	semidirect
13. C₇×#1763	C₂	semidirect
14. C₄×C₇×#103	C₂	semidirect
15. C₇×#1750	C₂	semidirect
33. C₇×#448	C₄	semidirect
64. #21462	C₇	direct (N × H)
71. C₂²×C₇×Q₈	C₂×C₄	semidirect
99. C₄×C₇×Q₈	D₄	semidirect
100. C₄×C₇×Q₈	D₄	semidirect
143. C₇×#103	C₂×C₄	semidirect
144. C₇×#103	C₂×C₄	semidirect
148. C₇×C₂²⋊C₈	C₂×C₄	semidirect
154. C₂×#519	C₂×C₇	semidirect
156. C₂×#440	C₂×C₇	semidirect
157. C₂×C₄×SD₁₆	C₂×C₇	semidirect
159. #1880	C₂×C₇	semidirect
160. #1880	C₂×C₇	semidirect
162. #1865	C₂×C₇	semidirect
163. #1863	C₂×C₇	semidirect
164. #1854	C₂×C₇	semidirect
165. #1787	C₂×C₇	semidirect
166. #1763	C₂×C₇	semidirect
167. C₄×#103	C₂×C₇	semidirect
168. #1750	C₂×C₇	semidirect
290. #448	C₄×C₇	semidirect
408. C₂²×Q₈	C₂×C₄×C₇	semidirect
436. C₄×Q₈	C₇×D₄	semidirect
437. C₄×Q₈	C₇×D₄	semidirect
480. #103	C₂×C₄×C₇	semidirect
481. #103	C₂×C₄×C₇	semidirect
485. C₂²⋊C₈	C₂×C₄×C₇	semidirect
722. C₇	#21462	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×#519	2
C₂×C₇×#448	2
C₂×C₇×#440	2
C₂×C₄×C₇×SD₁₆	2
C₇×#2324	2
C₇×#1880	2
C₇×#1875	2
C₇×#1865	2
C₇×#1863	2
C₇×#1854	2
C₇×#1787	2
C₇×#1763	2
C₄×C₇×#103	2
C₇×#1750	2
#21462	7

Subgroups — C7×#21462 #13198678

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#21462 #13198678