Subgroups — C₇×#21465 #13198681

Order 1792.

1420 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#520	C₂	1	1	yes	maximal, characteristic
2	C₂×C₇×#452	C₂	1	1	yes	maximal, characteristic
3	C₂×C₇×#440	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₄×C₇×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#2323	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#1878	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#1877	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#1872	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#1863	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#1862	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#1852	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#1788	C₂	1	1	yes	maximal, characteristic
13	C₇×#1763	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₇×#102	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#1750	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
17	C₂²×C₇×Q₁₆	C₂²	1	1	yes	characteristic
18	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
19	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
20	C₇×#520	—	2	4	no	—
21	C₇×#520	—	2	4	no	—
22	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
23	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
24	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₄×C₇×D₄	—	2	1	no	—
26	C₂×C₄×C₇×D₄	—	2	1	no	—
27	C₂×C₄×C₇×D₄	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	C₂²	1	1	yes	characteristic
31	C₂²×C₇×C₄⋊C₄	—	2	1	no	—
32	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
33	C₇×#452	C₄	1	8	yes	complemented
34	C₇×#440	—	2	4	no	—
35	C₄×C₇×Q₁₆	—	2	4	no	—
36	C₂×C₇×#107	C₂²	1	1	yes	characteristic
37	C₂×C₇×#107	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×#102	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×#391	C₂²	1	1	yes	characteristic
51	C₇×#389	—	2	1	no	—
52	C₇×#389	C₂²	1	1	yes	characteristic
53	C₇×#388	—	2	1	no	—
54	C₇×#388	—	2	1	no	—
55	C₇×#387	—	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	#21465	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
65	C₂×C₇×#41	—	2	2	no	—
66	C₂×C₇×#41	—	2	2	no	—
67	C₂×C₇×#41	—	2	2	no	—
68	C₂×C₇×#41	—	2	2	no	—
69	C₂×C₇×#41	—	2	2	no	—
70	C₂×C₇×#41	C₂×C₄	1	4	yes	—
71	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
72	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
73	C₂²×C₇×D₄	—	2	1	no	—
74	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
75	C₂³×C₄×C₇	—	2	1	no	—
76	C₂³×C₄×C₇	—	2	1	no	—
77	C₂³×C₄×C₇	—	2	1	no	—
78	C₂³×C₄×C₇	—	2	1	no	—
79	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
80	C₂×C₇×Q₁₆	—	2	2	no	—
81	C₂×C₇×Q₁₆	—	2	2	no	—
82	C₂×C₇×Q₁₆	C₂×C₄	1	4	yes	complemented
83	C₂×C₇×SD₁₆	—	2	2	no	—
84	C₂×C₇×SD₁₆	—	2	2	no	—
85	C₂×C₇×SD₁₆	C₂×C₄	1	4	yes	complemented
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	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
90	C₇×C₂²⋊Q₈	—	2	2	no	—
91	C₇×C₂²⋊Q₈	C₂×C₄	1	4	yes	complemented
92	C₄×C₇×Q₈	—	2	2	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	D₄	1	4	yes	—
98	C₄×C₇×D₄	—	2	8	no	—
99	C₄×C₇×D₄	—	2	8	no	—
100	C₄×C₇×D₄	—	2	2	no	—
101	C₄×C₇×D₄	—	2	2	no	—
102	C₄×C₇×D₄	—	2	2	no	—
103	C₄×C₇×D₄	D₄	1	4	yes	—
104	C₇×#117	—	2	8	no	—
105	C₇×#117	—	2	2	no	—
106	C₇×#117	—	2	2	no	—
107	C₂×C₇×C₄⋊C₄	—	2	8	no	—
108	C₂×C₇×C₄⋊C₄	—	2	1	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	2	no	—
113	C₂×C₇×C₄⋊C₄	—	2	2	no	—
114	C₂×C₇×C₄⋊C₄	—	2	1	no	—
115	C₂×C₇×C₄⋊C₄	—	2	1	no	—
116	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
117	C₂×C₇×C₄⋊C₄	D₄	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×C₄⋊C₄	C₂³	1	1	yes	characteristic
122	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
134	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
135	C₇×#107	—	2	2	no	—
136	C₇×#107	—	2	2	no	—
137	C₇×#103	—	2	2	no	—
138	C₇×#103	—	2	2	no	—
139	C₇×#103	—	2	2	no	—
140	C₇×#103	—	2	2	no	—
141	C₇×#103	C₂×C₄	1	4	yes	complemented
142	C₇×#102	—	2	2	no	—
143	C₇×#102	—	2	2	no	—
144	C₇×#102	C₂×C₄	1	4	yes	complemented
145	C₇×C₂²⋊C₈	—	2	2	no	—
146	C₇×C₂²⋊C₈	C₂×C₄	1	4	yes	complemented
147	C₇×#97	—	2	2	no	—
148	C₄×C₇×C₈	—	2	2	no	—
149	C₇×#95	—	2	1	no	—
150	C₇×#95	—	2	1	no	—
151	C₇×#95	—	2	1	no	—
152	C₇×#95	—	2	1	no	—
153	C₇×#95	—	2	1	no	—
154	C₂×#520	C₂×C₇	1	1	yes	characteristic
155	C₂×#452	C₂×C₇	1	1	yes	characteristic
156	C₂×#440	C₂×C₇	1	1	yes	characteristic, complemented
157	C₂×C₄×Q₁₆	C₂×C₇	1	1	yes	characteristic, complemented
158	#2323	C₂×C₇	1	1	yes	characteristic, complemented
159	#1878	C₂×C₇	1	1	yes	characteristic, complemented
160	#1877	C₂×C₇	1	1	yes	characteristic, complemented
161	#1872	C₂×C₇	1	1	yes	characteristic, complemented
162	#1863	C₂×C₇	1	1	yes	characteristic, complemented
163	#1862	C₂×C₇	1	1	yes	characteristic, complemented
164	#1852	C₂×C₇	1	1	yes	characteristic, complemented
165	#1788	C₂×C₇	1	1	yes	characteristic
166	#1763	C₂×C₇	1	1	yes	characteristic, complemented
167	C₄×#102	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	C₇×#41	—	2	8	no	—
172	C₇×#41	—	2	8	no	—
173	C₇×#41	—	2	8	no	—
174	C₇×#41	—	2	8	no	—
175	C₂×C₇×Q₈	—	2	1	no	—
176	C₂×C₇×Q₈	—	2	1	no	—
177	C₂×C₇×Q₈	—	2	1	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	C₂²×C₄	1	2	yes	—
184	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
185	C₂×C₇×Q₈	C₂×D₄	1	2	yes	—
186	C₂×C₇×Q₈	#41	1	2	yes	—
187	C₂×C₇×D₄	—	2	4	no	—
188	C₂×C₇×D₄	—	2	4	no	—
189	C₂×C₇×D₄	—	2	4	no	—
190	C₂×C₇×D₄	—	2	1	no	—
191	C₂×C₇×D₄	—	2	1	no	—
192	C₂×C₇×D₄	—	2	1	no	—
193	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
194	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
195	C₂×C₇×D₄	#41	1	2	yes	—
196	C₂²×C₄×C₇	—	2	4	no	—
197	C₂²×C₄×C₇	—	2	4	no	—
198	C₂²×C₄×C₇	—	2	1	no	—
199	C₂²×C₄×C₇	—	2	4	no	—
200	C₂²×C₄×C₇	—	2	1	no	—
201	C₂²×C₄×C₇	—	2	1	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	4	no	—
209	C₂²×C₄×C₇	—	2	4	no	—
210	C₂²×C₄×C₇	—	2	4	no	—
211	C₂²×C₄×C₇	—	2	1	no	—
212	C₂²×C₄×C₇	—	2	1	no	—
213	C₂²×C₄×C₇	—	8	1	no	—
214	C₂²×C₄×C₇	—	8	1	no	—
215	C₂²×C₄×C₇	—	8	1	no	—
216	C₂²×C₄×C₇	—	8	1	no	—
217	C₂²×C₄×C₇	—	8	1	no	—
218	C₂²×C₄×C₇	—	8	1	no	—
219	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
220	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
221	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
222	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
223	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
224	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
225	C₂²×C₄×C₇	#41	1	2	yes	—
226	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
227	C₇×Q₁₆	—	2	8	no	—
228	C₇×SD₁₆	—	2	8	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	—	2	1	no	—
237	C₂×C₇×C₈	—	2	1	no	—
238	C₂×C₇×C₈	—	2	1	no	—
239	C₂×C₇×C₈	C₂²×C₄	1	2	yes	—
240	C₂×C₇×C₈	C₂²×C₄	1	2	yes	—
241	C₇×C₄⋊C₄	—	2	4	no	—
242	C₇×C₄⋊C₄	—	2	4	no	—
243	C₇×C₄⋊C₄	—	2	4	no	—
244	C₇×C₄⋊C₄	—	2	2	no	—
245	C₇×C₄⋊C₄	—	2	4	no	—
246	C₇×C₄⋊C₄	—	2	2	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	—	2	1	no	—
252	C₇×C₄⋊C₄	—	2	1	no	—
253	C₇×C₄⋊C₄	—	2	1	no	—
254	C₇×C₄⋊C₄	—	4	2	no	—
255	C₇×C₄⋊C₄	—	8	1	no	—
256	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
257	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
258	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
259	C₇×C₂²⋊C₄	—	2	4	no	—
260	C₇×C₂²⋊C₄	—	2	4	no	—
261	C₇×C₂²⋊C₄	—	2	4	no	—
262	C₇×C₂²⋊C₄	—	2	2	no	—
263	C₇×C₂²⋊C₄	—	2	2	no	—
264	C₇×C₂²⋊C₄	—	8	1	no	—
265	C₄²×C₇	—	2	4	no	—
266	C₄²×C₇	—	2	4	no	—
267	C₄²×C₇	—	2	1	no	—
268	C₄²×C₇	—	2	1	no	—
269	C₄²×C₇	—	4	2	no	—
270	C₄²×C₇	—	8	1	no	—
271	C₄²×C₇	C₂×D₄	1	2	yes	—
272	C₄²×C₇	C₂×D₄	1	2	yes	—
273	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
274	C₂²×Q₁₆	C₂²×C₇	1	1	yes	characteristic
275	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
276	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
277	#520	—	2	4	no	—
278	#520	—	2	4	no	—
279	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
280	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
281	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
282	C₂×C₄×D₄	—	2	1	no	—
283	C₂×C₄×D₄	—	2	1	no	—
284	C₂×C₄×D₄	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	C₂²×C₇	1	1	yes	characteristic
288	C₂²×C₄⋊C₄	—	2	1	no	—
289	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
290	#452	C₄×C₇	1	8	yes	complemented
291	#440	—	2	4	no	—
292	C₄×Q₁₆	—	2	4	no	—
293	C₂×#107	C₂²×C₇	1	1	yes	characteristic
294	C₂×#107	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×#102	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	#391	C₂²×C₇	1	1	yes	characteristic
308	#389	—	2	1	no	—
309	#389	C₂²×C₇	1	1	yes	characteristic
310	#388	—	2	1	no	—
311	#388	—	2	1	no	—
312	#387	—	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	2	no	—
322	C₂³×C₇	—	2	1	no	—
323	C₂³×C₇	—	2	2	no	—
324	C₂³×C₇	—	2	1	no	—
325	C₂³×C₇	—	2	2	no	—
326	C₂³×C₇	—	2	1	no	—
327	C₂³×C₇	—	2	1	no	—
328	C₂³×C₇	—	2	1	no	—
329	C₂³×C₇	—	2	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	2	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	—	4	1	no	—
342	C₇×Q₈	—	4	1	no	—
343	C₇×Q₈	C₄×D₄	1	4	yes	—
344	C₇×D₄	—	2	16	no	—
345	C₇×D₄	—	2	2	no	—
346	C₇×D₄	—	2	2	no	—
347	C₇×D₄	—	2	2	no	—
348	C₇×D₄	C₄×D₄	1	4	yes	—
349	C₂×C₄×C₇	—	2	16	no	—
350	C₂×C₄×C₇	—	2	2	no	—
351	C₂×C₄×C₇	—	2	2	no	—
352	C₂×C₄×C₇	—	2	1	no	—
353	C₂×C₄×C₇	—	2	1	no	—
354	C₂×C₄×C₇	—	2	2	no	—
355	C₂×C₄×C₇	—	2	1	no	—
356	C₂×C₄×C₇	—	2	1	no	—
357	C₂×C₄×C₇	—	2	1	no	—
358	C₂×C₄×C₇	—	2	1	no	—
359	C₂×C₄×C₇	—	2	2	no	—
360	C₂×C₄×C₇	—	2	2	no	—
361	C₂×C₄×C₇	—	2	2	no	—
362	C₂×C₄×C₇	—	2	2	no	—
363	C₂×C₄×C₇	—	2	2	no	—
364	C₂×C₄×C₇	—	2	2	no	—
365	C₂×C₄×C₇	—	2	1	no	—
366	C₂×C₄×C₇	—	2	1	no	—
367	C₂×C₄×C₇	—	2	2	no	—
368	C₂×C₄×C₇	—	2	2	no	—
369	C₂×C₄×C₇	—	2	1	no	—
370	C₂×C₄×C₇	—	2	1	no	—
371	C₂×C₄×C₇	—	2	1	no	—
372	C₂×C₄×C₇	—	2	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	—	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	—	8	4	no	—
388	C₂×C₄×C₇	—	8	4	no	—
389	C₂×C₄×C₇	—	8	4	no	—
390	C₂×C₄×C₇	C₄×D₄	1	2	yes	—
391	C₂×C₄×C₇	#120	1	2	yes	—
392	C₂×C₄×C₇	#120	1	2	yes	—
393	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
394	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
395	C₂×C₄×C₇	C₂²×D₄	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	C₂×C₄×C₇	C₂×#41	1	1	yes	characteristic
399	C₇×C₈	—	2	2	no	—
400	C₇×C₈	—	2	2	no	—
401	C₇×C₈	—	4	1	no	—
402	C₇×C₈	—	4	1	no	—
403	C₂×#41	—	2	2	no	—
404	C₂×#41	—	2	2	no	—
405	C₂×#41	—	2	2	no	—
406	C₂×#41	—	2	2	no	—
407	C₂×#41	—	2	2	no	—
408	C₂×#41	C₂×C₄×C₇	1	4	yes	—
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	—	2	1	no	—
416	C₂³×C₄	—	2	1	no	—
417	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
418	C₂×Q₁₆	—	2	2	no	—
419	C₂×Q₁₆	—	2	2	no	—
420	C₂×Q₁₆	C₂×C₄×C₇	1	4	yes	complemented
421	C₂×SD₁₆	—	2	2	no	—
422	C₂×SD₁₆	—	2	2	no	—
423	C₂×SD₁₆	C₂×C₄×C₇	1	4	yes	complemented
424	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
425	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
426	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
427	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
428	C₂²⋊Q₈	—	2	2	no	—
429	C₂²⋊Q₈	C₂×C₄×C₇	1	4	yes	complemented
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	C₇×D₄	1	4	yes	—
436	C₄×D₄	—	2	8	no	—
437	C₄×D₄	—	2	8	no	—
438	C₄×D₄	—	2	2	no	—
439	C₄×D₄	—	2	2	no	—
440	C₄×D₄	—	2	2	no	—
441	C₄×D₄	C₇×D₄	1	4	yes	—
442	#117	—	2	8	no	—
443	#117	—	2	2	no	—
444	#117	—	2	2	no	—
445	C₂×C₄⋊C₄	—	2	8	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	2	no	—
451	C₂×C₄⋊C₄	—	2	2	no	—
452	C₂×C₄⋊C₄	—	2	1	no	—
453	C₂×C₄⋊C₄	—	2	1	no	—
454	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
455	C₂×C₄⋊C₄	C₇×D₄	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×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
459	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
460	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
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	—	2	1	no	—
465	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
466	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
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	C₂³×C₇	1	1	yes	characteristic
472	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
473	#107	—	2	2	no	—
474	#107	—	2	2	no	—
475	#103	—	2	2	no	—
476	#103	—	2	2	no	—
477	#103	—	2	2	no	—
478	#103	—	2	2	no	—
479	#103	C₂×C₄×C₇	1	4	yes	complemented
480	#102	—	2	2	no	—
481	#102	—	2	2	no	—
482	#102	C₂×C₄×C₇	1	4	yes	complemented
483	C₂²⋊C₈	—	2	2	no	—
484	C₂²⋊C₈	C₂×C₄×C₇	1	4	yes	complemented
485	#97	—	2	2	no	—
486	C₄×C₈	—	2	2	no	—
487	#95	—	2	1	no	—
488	#95	—	2	1	no	—
489	#95	—	2	1	no	—
490	#95	—	2	1	no	—
491	#95	—	2	1	no	—
492	C₂²×C₇	—	2	2	no	—
493	C₂²×C₇	—	2	2	no	—
494	C₂²×C₇	—	2	2	no	—
495	C₂²×C₇	—	2	4	no	—
496	C₂²×C₇	—	4	1	no	—
497	C₂²×C₇	—	4	2	no	—
498	C₂²×C₇	—	4	1	no	—
499	C₂²×C₇	—	4	2	no	—
500	C₂²×C₇	—	4	2	no	—
501	C₂²×C₇	—	4	2	no	—
502	C₂²×C₇	—	4	1	no	—
503	C₂²×C₇	—	4	2	no	—
504	C₂²×C₇	—	4	1	no	—
505	C₂²×C₇	—	4	2	no	—
506	C₂²×C₇	C₂×C₄×D₄	1	1	yes	characteristic
507	C₂²×C₇	C₂×#120	1	1	yes	characteristic
508	C₂²×C₇	#525	1	1	yes	characteristic
509	C₂²×C₇	#576	1	1	yes	characteristic
510	C₂²×C₇	#577	1	1	yes	characteristic
511	C₂²×C₇	#578	1	1	yes	characteristic
512	C₂²×C₇	#578	1	1	yes	characteristic
513	C₄×C₇	—	2	2	no	—
514	C₄×C₇	—	2	2	no	—
515	C₄×C₇	—	2	2	no	—
516	C₄×C₇	—	2	4	no	—
517	C₄×C₇	—	4	2	no	—
518	C₄×C₇	—	4	1	no	—
519	C₄×C₇	—	4	1	no	—
520	C₄×C₇	—	4	2	no	—
521	C₄×C₇	—	4	2	no	—
522	C₄×C₇	—	4	2	no	—
523	C₄×C₇	—	8	1	no	—
524	C₄×C₇	—	8	1	no	—
525	C₄×C₇	C₂×C₄×D₄	1	1	yes	characteristic
526	C₄×C₇	C₂×C₄×D₄	1	1	yes	characteristic
527	C₄×C₇	#525	1	1	yes	characteristic
528	C₄×C₇	#525	1	1	yes	characteristic
529	C₂⁴	—	2	1	no	—
530	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
531	#41	—	2	8	no	—
532	#41	—	2	8	no	—
533	#41	—	2	8	no	—
534	#41	—	2	8	no	—
535	C₂×Q₈	—	2	1	no	—
536	C₂×Q₈	—	2	1	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	C₇×#41	1	2	yes	—
547	C₂×D₄	—	2	4	no	—
548	C₂×D₄	—	2	4	no	—
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	C₂²×C₄×C₇	1	2	yes	—
554	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
555	C₂×D₄	C₇×#41	1	2	yes	—
556	C₂²×C₄	—	2	4	no	—
557	C₂²×C₄	—	2	4	no	—
558	C₂²×C₄	—	2	1	no	—
559	C₂²×C₄	—	2	4	no	—
560	C₂²×C₄	—	2	1	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	4	no	—
569	C₂²×C₄	—	2	4	no	—
570	C₂²×C₄	—	2	4	no	—
571	C₂²×C₄	—	2	1	no	—
572	C₂²×C₄	—	2	1	no	—
573	C₂²×C₄	—	8	1	no	—
574	C₂²×C₄	—	8	1	no	—
575	C₂²×C₄	—	8	1	no	—
576	C₂²×C₄	—	8	1	no	—
577	C₂²×C₄	—	8	1	no	—
578	C₂²×C₄	—	8	1	no	—
579	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
580	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
581	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
582	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
583	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
584	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
585	C₂²×C₄	C₇×#41	1	2	yes	—
586	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
587	Q₁₆	—	2	8	no	—
588	SD₁₆	—	2	8	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	—	2	1	no	—
596	C₂×C₈	—	2	1	no	—
597	C₂×C₈	—	2	1	no	—
598	C₂×C₈	—	2	1	no	—
599	C₂×C₈	C₂²×C₄×C₇	1	2	yes	—
600	C₂×C₈	C₂²×C₄×C₇	1	2	yes	—
601	C₄⋊C₄	—	2	4	no	—
602	C₄⋊C₄	—	2	4	no	—
603	C₄⋊C₄	—	2	4	no	—
604	C₄⋊C₄	—	2	2	no	—
605	C₄⋊C₄	—	2	4	no	—
606	C₄⋊C₄	—	2	2	no	—
607	C₄⋊C₄	—	2	1	no	—
608	C₄⋊C₄	—	2	1	no	—
609	C₄⋊C₄	—	2	1	no	—
610	C₄⋊C₄	—	2	1	no	—
611	C₄⋊C₄	—	2	1	no	—
612	C₄⋊C₄	—	2	1	no	—
613	C₄⋊C₄	—	2	1	no	—
614	C₄⋊C₄	—	4	2	no	—
615	C₄⋊C₄	—	8	1	no	—
616	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
617	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
618	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
619	C₂²⋊C₄	—	2	4	no	—
620	C₂²⋊C₄	—	2	4	no	—
621	C₂²⋊C₄	—	2	4	no	—
622	C₂²⋊C₄	—	2	2	no	—
623	C₂²⋊C₄	—	2	2	no	—
624	C₂²⋊C₄	—	8	1	no	—
625	C₄²	—	2	4	no	—
626	C₄²	—	2	4	no	—
627	C₄²	—	2	1	no	—
628	C₄²	—	2	1	no	—
629	C₄²	—	4	2	no	—
630	C₄²	—	8	1	no	—
631	C₄²	C₂×C₇×D₄	1	2	yes	—
632	C₄²	C₂×C₇×D₄	1	2	yes	—
633	C₂×C₇	—	4	2	no	—
634	C₂×C₇	—	4	4	no	—
635	C₂×C₇	C₄×#120	1	1	yes	characteristic
636	C₂×C₇	#2947	1	1	yes	characteristic
637	C₂×C₇	#2951	1	1	yes	characteristic
638	C₂×C₇	#3011	1	1	yes	characteristic
639	C₂×C₇	#3012	1	1	yes	characteristic
640	C₂×C₇	#3120	1	1	yes	characteristic
641	C₂×C₇	#3124	1	1	yes	characteristic
642	C₂³	—	2	2	no	—
643	C₂³	—	2	1	no	—
644	C₂³	—	2	2	no	—
645	C₂³	—	2	1	no	—
646	C₂³	—	2	2	no	—
647	C₂³	—	2	1	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	1	no	—
650	C₂³	—	2	1	no	—
651	C₂³	—	4	1	no	—
652	C₂³	—	4	1	no	—
653	C₂³	—	4	1	no	—
654	C₂³	—	4	1	no	—
655	C₂³	C₄×C₇×D₄	1	2	yes	—
656	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
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	—	4	1	no	—
663	Q₈	—	4	1	no	—
664	Q₈	C₄×C₇×D₄	1	4	yes	—
665	D₄	—	2	16	no	—
666	D₄	—	2	2	no	—
667	D₄	—	2	2	no	—
668	D₄	—	2	2	no	—
669	D₄	C₄×C₇×D₄	1	4	yes	—
670	C₂×C₄	—	2	16	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	2	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	1	no	—
680	C₂×C₄	—	2	2	no	—
681	C₂×C₄	—	2	2	no	—
682	C₂×C₄	—	2	2	no	—
683	C₂×C₄	—	2	2	no	—
684	C₂×C₄	—	2	2	no	—
685	C₂×C₄	—	2	2	no	—
686	C₂×C₄	—	2	1	no	—
687	C₂×C₄	—	2	1	no	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	1	no	—
691	C₂×C₄	—	2	1	no	—
692	C₂×C₄	—	2	1	no	—
693	C₂×C₄	—	2	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	—	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	—	8	4	no	—
710	C₂×C₄	—	8	4	no	—
711	C₂×C₄	C₄×C₇×D₄	1	2	yes	—
712	C₂×C₄	C₇×#120	1	2	yes	—
713	C₂×C₄	C₇×#120	1	2	yes	—
714	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
715	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
716	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
717	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
718	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
719	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
720	C₈	—	2	2	no	—
721	C₈	—	2	2	no	—
722	C₈	—	4	1	no	—
723	C₈	—	4	1	no	—
724	C₇	#21465	1	1	yes	characteristic, direct product factor, Sylow
725	C₂²	—	2	2	no	—
726	C₂²	—	2	2	no	—
727	C₂²	—	2	2	no	—
728	C₂²	—	2	4	no	—
729	C₂²	—	4	2	no	—
730	C₂²	—	4	2	no	—
731	C₂²	—	4	1	no	—
732	C₂²	—	4	2	no	—
733	C₂²	—	4	1	no	—
734	C₂²	—	4	2	no	—
735	C₂²	—	4	1	no	—
736	C₂²	—	4	2	no	—
737	C₂²	—	4	1	no	—
738	C₂²	—	4	2	no	—
739	C₂²	C₂×C₄×C₇×D₄	1	1	yes	characteristic
740	C₂²	C₂×C₇×#120	1	1	yes	characteristic
741	C₂²	C₇×#525	1	1	yes	characteristic
742	C₂²	C₇×#576	1	1	yes	characteristic
743	C₂²	C₇×#577	1	1	yes	characteristic
744	C₂²	C₇×#578	1	1	yes	characteristic
745	C₂²	C₇×#578	1	1	yes	characteristic
746	C₄	—	2	2	no	—
747	C₄	—	2	2	no	—
748	C₄	—	2	2	no	—
749	C₄	—	2	4	no	—
750	C₄	—	4	2	no	—
751	C₄	—	4	1	no	—
752	C₄	—	4	1	no	—
753	C₄	—	4	2	no	—
754	C₄	—	4	2	no	—
755	C₄	—	4	2	no	—
756	C₄	—	8	1	no	—
757	C₄	—	8	1	no	—
758	C₄	C₂×C₄×C₇×D₄	1	1	yes	characteristic
759	C₄	C₂×C₄×C₇×D₄	1	1	yes	characteristic
760	C₄	C₇×#525	1	1	yes	characteristic
761	C₄	C₇×#525	1	1	yes	characteristic
762	C₂	—	4	2	no	—
763	C₂	—	4	4	no	—
764	C₂	C₄×C₇×#120	1	1	yes	characteristic
765	C₂	C₇×#2947	1	1	yes	characteristic
766	C₂	C₇×#2951	1	1	yes	characteristic
767	C₂	C₇×#3011	1	1	yes	characteristic
768	C₂	C₇×#3012	1	1	yes	characteristic
769	C₂	C₇×#3120	1	1	yes	characteristic
770	C₂	C₇×#3124	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	C₂²×C₇×#41	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
3. C₂×C₇×#440	C₂	semidirect
4. C₂×C₄×C₇×Q₁₆	C₂	semidirect
5. C₇×#2323	C₂	semidirect
6. C₇×#1878	C₂	semidirect
7. C₇×#1877	C₂	semidirect
8. C₇×#1872	C₂	semidirect
9. C₇×#1863	C₂	semidirect
10. C₇×#1862	C₂	semidirect
11. C₇×#1852	C₂	semidirect
13. C₇×#1763	C₂	semidirect
14. C₄×C₇×#102	C₂	semidirect
15. C₇×#1750	C₂	semidirect
33. C₇×#452	C₄	semidirect
64. #21465	C₇	direct (N × H)
82. C₂×C₇×Q₁₆	C₂×C₄	semidirect
85. C₂×C₇×SD₁₆	C₂×C₄	semidirect
91. C₇×C₂²⋊Q₈	C₂×C₄	semidirect
141. C₇×#103	C₂×C₄	semidirect
144. C₇×#102	C₂×C₄	semidirect
146. C₇×C₂²⋊C₈	C₂×C₄	semidirect
156. C₂×#440	C₂×C₇	semidirect
157. C₂×C₄×Q₁₆	C₂×C₇	semidirect
158. #2323	C₂×C₇	semidirect
159. #1878	C₂×C₇	semidirect
160. #1877	C₂×C₇	semidirect
161. #1872	C₂×C₇	semidirect
162. #1863	C₂×C₇	semidirect
163. #1862	C₂×C₇	semidirect
164. #1852	C₂×C₇	semidirect
166. #1763	C₂×C₇	semidirect
167. C₄×#102	C₂×C₇	semidirect
168. #1750	C₂×C₇	semidirect
290. #452	C₄×C₇	semidirect
420. C₂×Q₁₆	C₂×C₄×C₇	semidirect
423. C₂×SD₁₆	C₂×C₄×C₇	semidirect
429. C₂²⋊Q₈	C₂×C₄×C₇	semidirect
479. #103	C₂×C₄×C₇	semidirect
482. #102	C₂×C₄×C₇	semidirect
484. C₂²⋊C₈	C₂×C₄×C₇	semidirect
724. C₇	#21465	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×#520	2
C₂×C₇×#452	2
C₂×C₇×#440	2
C₂×C₄×C₇×Q₁₆	2
C₇×#2323	2
C₇×#1878	2
C₇×#1877	2
C₇×#1872	2
C₇×#1863	2
C₇×#1862	2
C₇×#1852	2
C₇×#1788	2
C₇×#1763	2
C₄×C₇×#102	2
C₇×#1750	2
#21465	7

Subgroups — C7×#21465 #13198681

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#21465 #13198681