Subgroups — C₇×#61223 #13238439

Order 1792.

2156 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3512	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3498	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3318	C₂	1	4	yes	maximal, complemented
4	C₇×#3317	C₂	1	4	yes	maximal, complemented
5	C₇×#3310	C₂	1	4	yes	maximal, complemented
6	C₇×#3309	C₂	1	4	yes	maximal, complemented
7	C₂×C₇×#490	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3096	C₂	1	2	yes	maximal, complemented
9	C₇×#3080	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3062	C₂	1	2	yes	maximal, complemented
11	C₇×#3038	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3012	C₂	1	2	yes	maximal, complemented
13	C₇×#2943	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2932	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#2897	C₂	1	2	yes	maximal, complemented
16	C₂×C₇×H(5,𝔽₂)	C₂²	1	2	yes	—
17	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
18	C₂×C₇×#135	C₂²	1	1	yes	characteristic
19	C₂×C₇×#131	C₂²	1	2	yes	complemented
20	C₇×#553	—	2	4	no	—
21	C₇×#553	C₂²	1	4	yes	complemented
22	C₇×#552	C₂²	1	4	yes	complemented
23	C₇×#550	C₂²	1	4	yes	—
24	C₇×D₄²	—	2	4	no	—
25	C₇×D₄²	C₂²	1	4	yes	—
26	C₇×#541	—	2	1	no	—
27	C₇×#540	—	2	1	no	—
28	C₇×#537	C₂²	1	2	yes	complemented
29	C₇×#535	—	2	2	no	—
30	C₇×#535	C₂²	1	2	yes	—
31	C₇×#532	—	2	1	no	—
32	C₇×#532	C₂²	1	1	yes	characteristic
33	C₂×C₇×#127	—	2	1	no	—
34	C₂×C₇×#127	C₂²	1	1	yes	characteristic
35	C₇×#529	—	2	2	no	—
36	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
37	C₇×#520	C₂²	1	2	yes	complemented
38	C₄×C₇×#41	C₂²	1	1	yes	characteristic
39	C₄×C₇×#41	C₂²	1	1	yes	characteristic, complemented
40	C₇×#490	C₂²	1	4	yes	complemented
41	C₇×#490	C₂²	1	4	yes	complemented
42	C₇×#482	C₂²	1	4	yes	complemented
43	C₇×#482	C₂²	1	4	yes	complemented
44	C₇×#481	C₂²	1	4	yes	complemented
45	C₇×#480	C₂²	1	4	yes	complemented
46	C₇×#479	C₂²	1	4	yes	complemented
47	C₇×#478	C₂²	1	4	yes	complemented
48	C₇×#469	C₂²	1	4	yes	complemented
49	C₇×#468	C₂²	1	4	yes	complemented
50	C₇×#466	C₂²	1	4	yes	complemented
51	C₇×#465	C₂²	1	4	yes	complemented
52	C₇×#460	C₂²	1	4	yes	complemented
53	C₇×#459	C₂²	1	4	yes	complemented
54	C₇×#452	C₂²	1	4	yes	complemented
55	C₇×#450	C₂²	1	4	yes	complemented
56	C₇×#449	C₂²	1	4	yes	complemented
57	C₇×#447	C₂²	1	4	yes	complemented
58	C₇×#442	C₂²	1	2	yes	complemented
59	C₇×#441	C₂²	1	2	yes	complemented
60	C₇×#440	C₂²	1	2	yes	complemented
61	C₇×#440	C₂²	1	2	yes	complemented
62	C₇×#435	C₂²	1	4	yes	complemented
63	C₇×#435	C₂²	1	4	yes	complemented
64	C₇×#428	C₂²	1	2	yes	complemented
65	C₇×#427	C₂²	1	1	yes	characteristic, complemented
66	C₇×#423	C₂²	1	1	yes	characteristic, complemented
67	C₇×#418	C₂²	1	2	yes	complemented
68	C₇×#418	C₂²	1	4	yes	complemented
69	C₇×#417	C₂²	1	2	yes	—
70	C₇×#417	C₂²	1	4	yes	complemented
71	C₇×#416	C₂²	1	1	yes	characteristic
72	C₇×#416	C₂²	1	1	yes	characteristic, complemented
73	C₇×#416	C₂²	1	4	yes	complemented
74	C₂×C₇×#102	C₂²	1	2	yes	complemented
75	C₂×C₇×#102	C₂²	1	4	yes	complemented
76	C₂×C₇×#102	C₂²	1	2	yes	complemented
77	C₇×#408	C₂²	1	2	yes	complemented
78	C₂×C₇×#97	C₂²	1	1	yes	characteristic, complemented
79	#61223	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
80	C₇×H(5,𝔽₂)	—	2	8	no	—
81	C₇×H(5,𝔽₂)	—	4	4	no	—
82	C₂×C₇×#41	—	2	2	no	—
83	C₂×C₇×#41	C₂³	1	1	yes	characteristic
84	C₂×C₇×#41	C₂³	1	4	yes	—
85	C₂×C₇×#41	C₂³	1	1	yes	characteristic
86	C₂×C₇×#41	C₂³	1	2	yes	—
87	C₂²×C₇×D₄	—	2	2	no	—
88	C₂²×C₇×D₄	—	2	4	no	—
89	C₂²×C₇×D₄	—	2	4	no	—
90	C₂²×C₇×D₄	—	2	2	no	—
91	C₂²×C₇×D₄	C₂³	1	2	yes	—
92	C₂²×C₇×D₄	C₂³	1	4	yes	—
93	C₇×AGL(1,ℤ/8)	—	4	4	no	—
94	C₇×#135	—	2	4	no	—
95	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
96	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
97	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
98	C₂×C₇×SD₁₆	C₂³	1	4	yes	—
99	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
100	C₂×C₇×D₈	C₂³	1	4	yes	—
101	C₇×#131	—	4	4	no	—
102	C₂×C₇×M₁₆	C₂³	1	2	yes	—
103	C₂×C₇×M₁₆	C₂³	1	4	yes	—
104	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
105	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
106	C₂²×C₇×C₈	C₂³	1	4	yes	—
107	C₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
108	C₇×#127	—	2	2	no	—
109	C₇×#127	—	2	4	no	—
110	C₇×#127	—	2	1	no	—
111	C₇×#127	—	2	1	no	—
112	C₇×#127	D₄	1	1	yes	characteristic
113	C₇×#127	C₂³	1	4	yes	—
114	C₇×#126	—	2	4	no	—
115	C₇×#126	—	2	4	no	—
116	C₇×#125	—	2	4	no	—
117	C₇×#125	—	2	1	no	—
118	C₇×#125	—	2	1	no	—
119	C₇×#125	C₂³	1	4	yes	—
120	C₇×#124	—	2	2	no	—
121	C₇×#124	D₄	1	2	yes	—
122	C₇×#123	—	2	4	no	—
123	C₇×#123	—	2	4	no	—
124	C₇×C₂²⋊Q₈	—	2	2	no	—
125	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
126	C₇×#121	—	2	2	no	—
127	C₇×#121	—	2	4	no	—
128	C₇×#121	—	2	4	no	—
129	C₇×#121	—	2	4	no	—
130	C₇×#121	—	2	4	no	—
131	C₇×#121	—	2	4	no	—
132	C₇×#121	D₄	1	4	yes	—
133	C₇×#121	C₂³	1	4	yes	—
134	C₇×#121	C₂³	1	4	yes	—
135	C₇×#121	C₂³	1	4	yes	—
136	C₇×#120	—	2	4	no	—
137	C₇×#120	—	2	4	no	—
138	C₇×#120	—	2	4	no	—
139	C₄×C₇×Q₈	—	2	2	no	—
140	C₄×C₇×Q₈	C₂³	1	2	yes	—
141	C₄×C₇×Q₈	C₂³	1	2	yes	—
142	C₄×C₇×D₄	—	2	2	no	—
143	C₄×C₇×D₄	—	2	4	no	—
144	C₄×C₇×D₄	—	2	2	no	—
145	C₄×C₇×D₄	—	2	2	no	—
146	C₄×C₇×D₄	—	2	4	no	—
147	C₄×C₇×D₄	—	2	4	no	—
148	C₄×C₇×D₄	C₂³	1	2	yes	—
149	C₄×C₇×D₄	C₂³	1	2	yes	—
150	C₄×C₇×D₄	C₂³	1	4	yes	—
151	C₇×#117	—	2	4	no	—
152	C₇×#117	—	2	1	no	—
153	C₇×#117	—	2	1	no	—
154	C₇×#117	C₂³	1	4	yes	—
155	C₇×#117	C₂³	1	1	yes	characteristic
156	C₇×#117	C₂³	1	1	yes	characteristic
157	C₂×C₇×C₄⋊C₄	—	2	2	no	—
158	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
159	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
160	C₂×C₄²×C₇	—	2	1	no	—
161	C₂×C₄²×C₇	—	2	1	no	—
162	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
163	C₇×#107	C₂³	1	4	yes	—
164	C₇×#107	C₂³	1	2	yes	—
165	C₇×#106	C₂³	1	4	yes	—
166	C₇×#106	C₂³	1	2	yes	—
167	C₇×C₄⋊C₈	C₂³	1	4	yes	—
168	C₇×#103	C₂³	1	2	yes	—
169	C₇×#103	C₂³	1	4	yes	—
170	C₇×#103	C₂³	1	2	yes	—
171	C₇×#102	C₂³	1	2	yes	—
172	C₇×#102	C₂³	1	4	yes	—
173	C₇×#102	C₂³	1	4	yes	—
174	C₇×#102	C₂³	1	4	yes	—
175	C₇×#102	C₂³	1	4	yes	—
176	C₇×#102	C₂³	1	4	yes	—
177	C₇×#102	C₂³	1	4	yes	—
178	C₇×#102	C₂³	1	4	yes	—
179	C₇×#102	C₂³	1	2	yes	—
180	C₇×C₂²⋊C₈	C₂³	1	4	yes	—
181	C₇×C₂²⋊C₈	C₂³	1	4	yes	—
182	C₇×#97	C₂³	1	2	yes	—
183	C₇×#97	C₂³	1	2	yes	—
184	#3512	C₂×C₇	1	1	yes	characteristic, complemented
185	#3498	C₂×C₇	1	1	yes	characteristic, complemented
186	#3318	C₂×C₇	1	4	yes	complemented
187	#3317	C₂×C₇	1	4	yes	complemented
188	#3310	C₂×C₇	1	4	yes	complemented
189	#3309	C₂×C₇	1	4	yes	complemented
190	C₂×#490	C₂×C₇	1	1	yes	characteristic, complemented
191	#3096	C₂×C₇	1	2	yes	complemented
192	#3080	C₂×C₇	1	1	yes	characteristic, complemented
193	#3062	C₂×C₇	1	2	yes	complemented
194	#3038	C₂×C₇	1	1	yes	characteristic, complemented
195	#3012	C₂×C₇	1	2	yes	complemented
196	#2943	C₂×C₇	1	1	yes	characteristic, complemented
197	#2932	C₂×C₇	1	1	yes	characteristic, complemented
198	#2897	C₂×C₇	1	2	yes	complemented
199	C₂⁴×C₇	—	2	4	no	—
200	C₂⁴×C₇	—	2	2	no	—
201	C₇×#41	—	2	4	no	—
202	C₇×#41	—	2	4	no	—
203	C₇×#41	—	2	2	no	—
204	C₇×#41	—	2	8	no	—
205	C₇×#41	—	2	2	no	—
206	C₇×#41	—	2	2	no	—
207	C₇×#41	—	4	4	no	—
208	C₇×#41	—	4	8	no	—
209	C₇×#41	#41	1	4	yes	—
210	C₂×C₇×Q₈	C₂×D₄	1	2	yes	—
211	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
212	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
213	C₂×C₇×D₄	—	2	1	no	—
214	C₂×C₇×D₄	—	2	8	no	—
215	C₂×C₇×D₄	—	2	1	no	—
216	C₂×C₇×D₄	—	2	4	no	—
217	C₂×C₇×D₄	—	2	4	no	—
218	C₂×C₇×D₄	—	2	4	no	—
219	C₂×C₇×D₄	—	2	4	no	—
220	C₂×C₇×D₄	—	2	4	no	—
221	C₂×C₇×D₄	—	2	4	no	—
222	C₂×C₇×D₄	—	2	2	no	—
223	C₂×C₇×D₄	—	2	4	no	—
224	C₂×C₇×D₄	—	2	4	no	—
225	C₂×C₇×D₄	—	2	4	no	—
226	C₂×C₇×D₄	—	4	4	no	—
227	C₂×C₇×D₄	—	4	8	no	—
228	C₂×C₇×D₄	—	4	16	no	—
229	C₂×C₇×D₄	—	8	4	no	—
230	C₂×C₇×D₄	—	8	8	no	—
231	C₂×C₇×D₄	C₂×D₄	1	4	yes	—
232	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
233	C₂×C₇×D₄	C₂×D₄	1	4	yes	—
234	C₂×C₇×D₄	C₂⁴	1	4	yes	—
235	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
236	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
237	C₂²×C₄×C₇	—	2	1	no	—
238	C₂²×C₄×C₇	—	2	2	no	—
239	C₂²×C₄×C₇	—	2	4	no	—
240	C₂²×C₄×C₇	—	2	1	no	—
241	C₂²×C₄×C₇	—	2	2	no	—
242	C₂²×C₄×C₇	—	2	4	no	—
243	C₂²×C₄×C₇	—	2	2	no	—
244	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
245	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
246	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
247	C₇×Q₁₆	—	2	2	no	—
248	C₇×SD₁₆	—	2	2	no	—
249	C₇×SD₁₆	—	2	2	no	—
250	C₇×SD₁₆	—	4	4	no	—
251	C₇×D₈	—	2	2	no	—
252	C₇×D₈	—	4	4	no	—
253	C₇×M₁₆	—	2	4	no	—
254	C₇×M₁₆	—	4	4	no	—
255	C₂×C₇×C₈	—	2	2	no	—
256	C₂×C₇×C₈	—	2	2	no	—
257	C₂×C₇×C₈	—	4	4	no	—
258	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
259	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
260	C₂×C₇×C₈	C₂⁴	1	2	yes	—
261	C₂×C₇×C₈	C₂⁴	1	4	yes	—
262	C₇×C₄⋊C₄	—	2	4	no	—
263	C₇×C₄⋊C₄	—	2	4	no	—
264	C₇×C₄⋊C₄	—	2	2	no	—
265	C₇×C₄⋊C₄	—	2	4	no	—
266	C₇×C₄⋊C₄	—	2	2	no	—
267	C₇×C₄⋊C₄	—	2	2	no	—
268	C₇×C₄⋊C₄	—	2	4	no	—
269	C₇×C₄⋊C₄	C₂×D₄	1	4	yes	—
270	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
271	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
272	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
273	C₇×C₂²⋊C₄	—	2	4	no	—
274	C₇×C₂²⋊C₄	—	2	1	no	—
275	C₇×C₂²⋊C₄	—	2	1	no	—
276	C₇×C₂²⋊C₄	—	2	4	no	—
277	C₇×C₂²⋊C₄	—	2	2	no	—
278	C₇×C₂²⋊C₄	—	2	2	no	—
279	C₇×C₂²⋊C₄	—	2	4	no	—
280	C₇×C₂²⋊C₄	—	2	4	no	—
281	C₇×C₂²⋊C₄	—	2	4	no	—
282	C₇×C₂²⋊C₄	C₂×D₄	1	4	yes	—
283	C₇×C₂²⋊C₄	C₂×D₄	1	4	yes	—
284	C₄²×C₇	—	2	2	no	—
285	C₄²×C₇	—	2	1	no	—
286	C₄²×C₇	—	2	1	no	—
287	C₄²×C₇	—	2	2	no	—
288	C₄²×C₇	—	2	4	no	—
289	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
290	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
291	C₄²×C₇	C₂⁴	1	2	yes	—
292	C₂×H(5,𝔽₂)	C₂²×C₇	1	2	yes	—
293	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	2	yes	complemented
294	C₂×#135	C₂²×C₇	1	1	yes	characteristic
295	C₂×#131	C₂²×C₇	1	2	yes	complemented
296	#553	—	2	4	no	—
297	#553	C₂²×C₇	1	4	yes	complemented
298	#552	C₂²×C₇	1	4	yes	complemented
299	#550	C₂²×C₇	1	4	yes	—
300	D₄²	—	2	4	no	—
301	D₄²	C₂²×C₇	1	4	yes	—
302	#541	—	2	1	no	—
303	#540	—	2	1	no	—
304	#537	C₂²×C₇	1	2	yes	complemented
305	#535	—	2	2	no	—
306	#535	C₂²×C₇	1	2	yes	—
307	#532	—	2	1	no	—
308	#532	C₂²×C₇	1	1	yes	characteristic
309	C₂×#127	—	2	1	no	—
310	C₂×#127	C₂²×C₇	1	1	yes	characteristic
311	#529	—	2	2	no	—
312	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
313	#520	C₂²×C₇	1	2	yes	complemented
314	C₄×#41	C₂²×C₇	1	1	yes	characteristic
315	C₄×#41	C₂²×C₇	1	1	yes	characteristic, complemented
316	#490	C₂²×C₇	1	4	yes	complemented
317	#490	C₂²×C₇	1	4	yes	complemented
318	#482	C₂²×C₇	1	4	yes	complemented
319	#482	C₂²×C₇	1	4	yes	complemented
320	#481	C₂²×C₇	1	4	yes	complemented
321	#480	C₂²×C₇	1	4	yes	complemented
322	#479	C₂²×C₇	1	4	yes	complemented
323	#478	C₂²×C₇	1	4	yes	complemented
324	#469	C₂²×C₇	1	4	yes	complemented
325	#468	C₂²×C₇	1	4	yes	complemented
326	#466	C₂²×C₇	1	4	yes	complemented
327	#465	C₂²×C₇	1	4	yes	complemented
328	#460	C₂²×C₇	1	4	yes	complemented
329	#459	C₂²×C₇	1	4	yes	complemented
330	#452	C₂²×C₇	1	4	yes	complemented
331	#450	C₂²×C₇	1	4	yes	complemented
332	#449	C₂²×C₇	1	4	yes	complemented
333	#447	C₂²×C₇	1	4	yes	complemented
334	#442	C₂²×C₇	1	2	yes	complemented
335	#441	C₂²×C₇	1	2	yes	complemented
336	#440	C₂²×C₇	1	2	yes	complemented
337	#440	C₂²×C₇	1	2	yes	complemented
338	#435	C₂²×C₇	1	4	yes	complemented
339	#435	C₂²×C₇	1	4	yes	complemented
340	#428	C₂²×C₇	1	2	yes	complemented
341	#427	C₂²×C₇	1	1	yes	characteristic, complemented
342	#423	C₂²×C₇	1	1	yes	characteristic, complemented
343	#418	C₂²×C₇	1	2	yes	complemented
344	#418	C₂²×C₇	1	4	yes	complemented
345	#417	C₂²×C₇	1	2	yes	—
346	#417	C₂²×C₇	1	4	yes	complemented
347	#416	C₂²×C₇	1	1	yes	characteristic
348	#416	C₂²×C₇	1	4	yes	complemented
349	#416	C₂²×C₇	1	1	yes	characteristic, complemented
350	C₂×#102	C₂²×C₇	1	2	yes	complemented
351	C₂×#102	C₂²×C₇	1	2	yes	complemented
352	C₂×#102	C₂²×C₇	1	4	yes	complemented
353	#408	C₂²×C₇	1	2	yes	complemented
354	C₂×#97	C₂²×C₇	1	1	yes	characteristic, complemented
355	C₂³×C₇	—	2	1	no	—
356	C₂³×C₇	—	2	1	no	—
357	C₂³×C₇	—	2	4	no	—
358	C₂³×C₇	—	4	8	no	—
359	C₂³×C₇	—	4	4	no	—
360	C₂³×C₇	—	8	2	no	—
361	C₂³×C₇	—	8	2	no	—
362	C₂³×C₇	—	8	4	no	—
363	C₂³×C₇	—	8	4	no	—
364	C₂³×C₇	C₂²×D₄	1	4	yes	—
365	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
366	C₇×Q₈	—	2	4	no	—
367	C₇×Q₈	—	2	1	no	—
368	C₇×Q₈	—	2	1	no	—
369	C₇×Q₈	—	2	1	no	—
370	C₇×Q₈	C₂×#41	1	2	yes	—
371	C₇×D₄	—	2	4	no	—
372	C₇×D₄	—	2	8	no	—
373	C₇×D₄	—	2	4	no	—
374	C₇×D₄	—	2	1	no	—
375	C₇×D₄	—	2	4	no	—
376	C₇×D₄	—	2	1	no	—
377	C₇×D₄	—	2	1	no	—
378	C₇×D₄	—	2	4	no	—
379	C₇×D₄	—	4	4	no	—
380	C₇×D₄	—	4	8	no	—
381	C₇×D₄	—	4	8	no	—
382	C₇×D₄	—	4	8	no	—
383	C₇×D₄	—	4	2	no	—
384	C₇×D₄	—	4	4	no	—
385	C₇×D₄	—	8	4	no	—
386	C₇×D₄	—	8	4	no	—
387	C₇×D₄	—	8	4	no	—
388	C₇×D₄	—	8	4	no	—
389	C₇×D₄	C₂×#41	1	2	yes	—
390	C₂×C₄×C₇	—	2	1	no	—
391	C₂×C₄×C₇	—	2	4	no	—
392	C₂×C₄×C₇	—	2	4	no	—
393	C₂×C₄×C₇	—	2	4	no	—
394	C₂×C₄×C₇	—	2	2	no	—
395	C₂×C₄×C₇	—	2	2	no	—
396	C₂×C₄×C₇	—	2	1	no	—
397	C₂×C₄×C₇	—	2	4	no	—
398	C₂×C₄×C₇	—	4	2	no	—
399	C₂×C₄×C₇	—	4	8	no	—
400	C₂×C₄×C₇	—	4	4	no	—
401	C₂×C₄×C₇	—	4	2	no	—
402	C₂×C₄×C₇	—	8	2	no	—
403	C₂×C₄×C₇	—	8	4	no	—
404	C₂×C₄×C₇	—	8	2	no	—
405	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
406	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
407	C₂×C₄×C₇	C₂²×D₄	1	4	yes	—
408	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
409	C₂×C₄×C₇	C₂×#41	1	2	yes	—
410	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
411	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
412	C₇×C₈	—	2	1	no	—
413	C₇×C₈	—	2	1	no	—
414	C₇×C₈	—	2	2	no	—
415	C₇×C₈	—	2	4	no	—
416	H(5,𝔽₂)	—	2	8	no	—
417	H(5,𝔽₂)	—	4	4	no	—
418	C₂×#41	—	2	2	no	—
419	C₂×#41	C₂³×C₇	1	1	yes	characteristic
420	C₂×#41	C₂³×C₇	1	4	yes	—
421	C₂×#41	C₂³×C₇	1	1	yes	characteristic
422	C₂×#41	C₂³×C₇	1	2	yes	—
423	C₂²×D₄	—	2	2	no	—
424	C₂²×D₄	—	2	4	no	—
425	C₂²×D₄	—	2	4	no	—
426	C₂²×D₄	—	2	2	no	—
427	C₂²×D₄	C₂³×C₇	1	2	yes	—
428	C₂²×D₄	C₂³×C₇	1	4	yes	—
429	AGL(1,ℤ/8)	—	4	4	no	—
430	#135	—	2	4	no	—
431	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
432	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
433	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
434	C₂×SD₁₆	C₂³×C₇	1	4	yes	—
435	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
436	C₂×D₈	C₂³×C₇	1	4	yes	—
437	#131	—	4	4	no	—
438	C₂×M₁₆	C₂³×C₇	1	2	yes	—
439	C₂×M₁₆	C₂³×C₇	1	4	yes	—
440	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
441	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
442	C₂²×C₈	C₂³×C₇	1	4	yes	—
443	C₄⋊Q₈	C₇×D₄	1	1	yes	characteristic
444	#127	—	2	2	no	—
445	#127	—	2	4	no	—
446	#127	—	2	1	no	—
447	#127	—	2	1	no	—
448	#127	C₇×D₄	1	1	yes	characteristic
449	#127	C₂³×C₇	1	4	yes	—
450	#126	—	2	4	no	—
451	#126	—	2	4	no	—
452	#125	—	2	4	no	—
453	#125	—	2	1	no	—
454	#125	—	2	1	no	—
455	#125	C₂³×C₇	1	4	yes	—
456	#124	—	2	2	no	—
457	#124	C₇×D₄	1	2	yes	—
458	#123	—	2	4	no	—
459	#123	—	2	4	no	—
460	C₂²⋊Q₈	—	2	2	no	—
461	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
462	#121	—	2	2	no	—
463	#121	—	2	4	no	—
464	#121	—	2	4	no	—
465	#121	—	2	4	no	—
466	#121	—	2	4	no	—
467	#121	—	2	4	no	—
468	#121	C₇×D₄	1	4	yes	—
469	#121	C₂³×C₇	1	4	yes	—
470	#121	C₂³×C₇	1	4	yes	—
471	#121	C₂³×C₇	1	4	yes	—
472	#120	—	2	4	no	—
473	#120	—	2	4	no	—
474	#120	—	2	4	no	—
475	C₄×Q₈	—	2	2	no	—
476	C₄×Q₈	C₂³×C₇	1	2	yes	—
477	C₄×Q₈	C₂³×C₇	1	2	yes	—
478	C₄×D₄	—	2	2	no	—
479	C₄×D₄	—	2	4	no	—
480	C₄×D₄	—	2	2	no	—
481	C₄×D₄	—	2	2	no	—
482	C₄×D₄	—	2	4	no	—
483	C₄×D₄	—	2	4	no	—
484	C₄×D₄	C₂³×C₇	1	2	yes	—
485	C₄×D₄	C₂³×C₇	1	2	yes	—
486	C₄×D₄	C₂³×C₇	1	4	yes	—
487	#117	—	2	4	no	—
488	#117	—	2	1	no	—
489	#117	—	2	1	no	—
490	#117	C₂³×C₇	1	1	yes	characteristic
491	#117	C₂³×C₇	1	1	yes	characteristic
492	#117	C₂³×C₇	1	4	yes	—
493	C₂×C₄⋊C₄	—	2	2	no	—
494	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
495	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
496	C₂×C₄²	—	2	1	no	—
497	C₂×C₄²	—	2	1	no	—
498	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
499	#107	C₂³×C₇	1	2	yes	—
500	#107	C₂³×C₇	1	4	yes	—
501	#106	C₂³×C₇	1	2	yes	—
502	#106	C₂³×C₇	1	4	yes	—
503	C₄⋊C₈	C₂³×C₇	1	4	yes	—
504	#103	C₂³×C₇	1	2	yes	—
505	#103	C₂³×C₇	1	4	yes	—
506	#103	C₂³×C₇	1	2	yes	—
507	#102	C₂³×C₇	1	2	yes	—
508	#102	C₂³×C₇	1	4	yes	—
509	#102	C₂³×C₇	1	4	yes	—
510	#102	C₂³×C₇	1	4	yes	—
511	#102	C₂³×C₇	1	4	yes	—
512	#102	C₂³×C₇	1	4	yes	—
513	#102	C₂³×C₇	1	4	yes	—
514	#102	C₂³×C₇	1	4	yes	—
515	#102	C₂³×C₇	1	2	yes	—
516	C₂²⋊C₈	C₂³×C₇	1	4	yes	—
517	C₂²⋊C₈	C₂³×C₇	1	4	yes	—
518	#97	C₂³×C₇	1	2	yes	—
519	#97	C₂³×C₇	1	2	yes	—
520	C₂²×C₇	—	2	2	no	—
521	C₂²×C₇	—	2	4	no	—
522	C₂²×C₇	—	2	4	no	—
523	C₂²×C₇	—	2	4	no	—
524	C₂²×C₇	—	2	2	no	—
525	C₂²×C₇	—	4	2	no	—
526	C₂²×C₇	—	4	2	no	—
527	C₂²×C₇	—	4	4	no	—
528	C₂²×C₇	—	4	4	no	—
529	C₂²×C₇	—	4	4	no	—
530	C₂²×C₇	—	4	1	no	—
531	C₂²×C₇	—	16	4	no	—
532	C₂²×C₇	—	16	8	no	—
533	C₂²×C₇	#546	1	2	yes	—
534	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
535	C₄×C₇	—	2	2	no	—
536	C₄×C₇	—	2	2	no	—
537	C₄×C₇	—	2	2	no	—
538	C₄×C₇	—	2	4	no	—
539	C₄×C₇	—	4	2	no	—
540	C₄×C₇	—	4	2	no	—
541	C₄×C₇	—	4	4	no	—
542	C₄×C₇	—	4	1	no	—
543	C₄×C₇	#546	1	2	yes	—
544	C₄×C₇	C₂²×#41	1	1	yes	characteristic
545	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
546	C₂⁴	—	2	4	no	—
547	C₂⁴	—	2	2	no	—
548	#41	—	2	4	no	—
549	#41	—	2	4	no	—
550	#41	—	2	2	no	—
551	#41	—	2	8	no	—
552	#41	—	2	2	no	—
553	#41	—	2	2	no	—
554	#41	—	4	4	no	—
555	#41	—	4	8	no	—
556	#41	C₇×#41	1	4	yes	—
557	C₂×Q₈	C₂×C₇×D₄	1	2	yes	—
558	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
559	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
560	C₂×D₄	—	2	1	no	—
561	C₂×D₄	—	2	8	no	—
562	C₂×D₄	—	2	1	no	—
563	C₂×D₄	—	2	4	no	—
564	C₂×D₄	—	2	4	no	—
565	C₂×D₄	—	2	4	no	—
566	C₂×D₄	—	2	4	no	—
567	C₂×D₄	—	2	4	no	—
568	C₂×D₄	—	2	4	no	—
569	C₂×D₄	—	2	2	no	—
570	C₂×D₄	—	2	4	no	—
571	C₂×D₄	—	2	4	no	—
572	C₂×D₄	—	2	4	no	—
573	C₂×D₄	—	4	4	no	—
574	C₂×D₄	—	4	8	no	—
575	C₂×D₄	—	4	16	no	—
576	C₂×D₄	—	8	4	no	—
577	C₂×D₄	—	8	8	no	—
578	C₂×D₄	C₂×C₇×D₄	1	4	yes	—
579	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
580	C₂×D₄	C₂×C₇×D₄	1	4	yes	—
581	C₂×D₄	C₂⁴×C₇	1	4	yes	—
582	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
583	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
584	C₂²×C₄	—	2	1	no	—
585	C₂²×C₄	—	2	2	no	—
586	C₂²×C₄	—	2	4	no	—
587	C₂²×C₄	—	2	1	no	—
588	C₂²×C₄	—	2	2	no	—
589	C₂²×C₄	—	2	4	no	—
590	C₂²×C₄	—	2	2	no	—
591	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
592	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
593	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
594	Q₁₆	—	2	2	no	—
595	SD₁₆	—	2	2	no	—
596	SD₁₆	—	2	2	no	—
597	SD₁₆	—	4	4	no	—
598	D₈	—	2	2	no	—
599	D₈	—	4	4	no	—
600	M₁₆	—	2	4	no	—
601	M₁₆	—	4	4	no	—
602	C₂×C₈	—	2	2	no	—
603	C₂×C₈	—	2	2	no	—
604	C₂×C₈	—	4	4	no	—
605	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
606	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
607	C₂×C₈	C₂⁴×C₇	1	2	yes	—
608	C₂×C₈	C₂⁴×C₇	1	4	yes	—
609	C₄⋊C₄	—	2	4	no	—
610	C₄⋊C₄	—	2	4	no	—
611	C₄⋊C₄	—	2	2	no	—
612	C₄⋊C₄	—	2	4	no	—
613	C₄⋊C₄	—	2	2	no	—
614	C₄⋊C₄	—	2	2	no	—
615	C₄⋊C₄	—	2	4	no	—
616	C₄⋊C₄	C₂×C₇×D₄	1	4	yes	—
617	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
618	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
619	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
620	C₂²⋊C₄	—	2	4	no	—
621	C₂²⋊C₄	—	2	1	no	—
622	C₂²⋊C₄	—	2	1	no	—
623	C₂²⋊C₄	—	2	4	no	—
624	C₂²⋊C₄	—	2	2	no	—
625	C₂²⋊C₄	—	2	2	no	—
626	C₂²⋊C₄	—	2	4	no	—
627	C₂²⋊C₄	—	2	4	no	—
628	C₂²⋊C₄	—	2	4	no	—
629	C₂²⋊C₄	C₂×C₇×D₄	1	4	yes	—
630	C₂²⋊C₄	C₂×C₇×D₄	1	4	yes	—
631	C₄²	—	2	2	no	—
632	C₄²	—	2	1	no	—
633	C₄²	—	2	1	no	—
634	C₄²	—	2	2	no	—
635	C₄²	—	2	4	no	—
636	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
637	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
638	C₄²	C₂⁴×C₇	1	2	yes	—
639	C₂×C₇	—	2	2	no	—
640	C₂×C₇	—	4	4	no	—
641	C₂×C₇	—	4	2	no	—
642	C₂×C₇	—	8	1	no	—
643	C₂×C₇	—	8	4	no	—
644	C₂×C₇	C₂×#546	1	1	yes	characteristic
645	C₂×C₇	#3585	1	2	yes	—
646	C₂³	—	2	1	no	—
647	C₂³	—	2	1	no	—
648	C₂³	—	2	4	no	—
649	C₂³	—	4	8	no	—
650	C₂³	—	4	4	no	—
651	C₂³	—	8	2	no	—
652	C₂³	—	8	2	no	—
653	C₂³	—	8	4	no	—
654	C₂³	—	8	4	no	—
655	C₂³	C₂²×C₇×D₄	1	4	yes	—
656	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
657	Q₈	—	2	1	no	—
658	Q₈	—	2	4	no	—
659	Q₈	—	2	1	no	—
660	Q₈	—	2	1	no	—
661	Q₈	C₂×C₇×#41	1	2	yes	—
662	D₄	—	2	4	no	—
663	D₄	—	2	8	no	—
664	D₄	—	2	1	no	—
665	D₄	—	2	4	no	—
666	D₄	—	2	1	no	—
667	D₄	—	2	1	no	—
668	D₄	—	2	4	no	—
669	D₄	—	2	4	no	—
670	D₄	—	4	4	no	—
671	D₄	—	4	8	no	—
672	D₄	—	4	8	no	—
673	D₄	—	4	8	no	—
674	D₄	—	4	2	no	—
675	D₄	—	4	4	no	—
676	D₄	—	8	4	no	—
677	D₄	—	8	4	no	—
678	D₄	—	8	4	no	—
679	D₄	—	8	4	no	—
680	D₄	C₂×C₇×#41	1	2	yes	—
681	C₂×C₄	—	2	1	no	—
682	C₂×C₄	—	2	4	no	—
683	C₂×C₄	—	2	4	no	—
684	C₂×C₄	—	2	4	no	—
685	C₂×C₄	—	2	2	no	—
686	C₂×C₄	—	2	2	no	—
687	C₂×C₄	—	2	1	no	—
688	C₂×C₄	—	2	4	no	—
689	C₂×C₄	—	4	2	no	—
690	C₂×C₄	—	4	8	no	—
691	C₂×C₄	—	4	4	no	—
692	C₂×C₄	—	4	2	no	—
693	C₂×C₄	—	8	2	no	—
694	C₂×C₄	—	8	4	no	—
695	C₂×C₄	—	8	2	no	—
696	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
697	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
698	C₂×C₄	C₂²×C₇×D₄	1	4	yes	—
699	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
700	C₂×C₄	C₂×C₇×#41	1	2	yes	—
701	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
702	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
703	C₈	—	2	1	no	—
704	C₈	—	2	1	no	—
705	C₈	—	2	2	no	—
706	C₈	—	2	4	no	—
707	C₇	#61223	1	1	yes	characteristic, direct product factor, Sylow
708	C₂²	—	2	2	no	—
709	C₂²	—	2	4	no	—
710	C₂²	—	2	4	no	—
711	C₂²	—	2	4	no	—
712	C₂²	—	2	2	no	—
713	C₂²	—	4	2	no	—
714	C₂²	—	4	2	no	—
715	C₂²	—	4	4	no	—
716	C₂²	—	4	4	no	—
717	C₂²	—	4	4	no	—
718	C₂²	—	4	1	no	—
719	C₂²	—	16	4	no	—
720	C₂²	—	16	8	no	—
721	C₂²	C₇×#546	1	2	yes	—
722	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
723	C₄	—	2	2	no	—
724	C₄	—	2	2	no	—
725	C₄	—	2	2	no	—
726	C₄	—	2	4	no	—
727	C₄	—	4	2	no	—
728	C₄	—	4	2	no	—
729	C₄	—	4	4	no	—
730	C₄	—	4	1	no	—
731	C₄	C₇×#546	1	2	yes	—
732	C₄	C₂²×C₇×#41	1	1	yes	characteristic
733	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
734	C₂	—	2	2	no	—
735	C₂	—	4	4	no	—
736	C₂	—	4	2	no	—
737	C₂	—	8	4	no	—
738	C₂	—	8	1	no	—
739	C₂	C₂×C₇×#546	1	1	yes	characteristic
740	C₂	C₇×#3585	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₇×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3512	C₂	semidirect
2. C₇×#3498	C₂	semidirect
3. C₇×#3318	C₂	semidirect
4. C₇×#3317	C₂	semidirect
5. C₇×#3310	C₂	semidirect
6. C₇×#3309	C₂	semidirect
7. C₂×C₇×#490	C₂	semidirect
8. C₇×#3096	C₂	semidirect
9. C₇×#3080	C₂	semidirect
10. C₇×#3062	C₂	semidirect
11. C₇×#3038	C₂	semidirect
12. C₇×#3012	C₂	semidirect
13. C₇×#2943	C₂	semidirect
14. C₇×#2932	C₂	semidirect
15. C₇×#2897	C₂	semidirect
17. C₂×C₇×AGL(1,ℤ/8)	C₂²	semidirect
19. C₂×C₇×#131	C₂²	semidirect
21. C₇×#553	C₂²	semidirect
22. C₇×#552	C₂²	semidirect
28. C₇×#537	C₂²	semidirect
36. C₂×C₇×#125	C₂²	semidirect
37. C₇×#520	C₂²	semidirect
39. C₄×C₇×#41	C₂²	semidirect
40. C₇×#490	C₂²	semidirect
41. C₇×#490	C₂²	semidirect
42. C₇×#482	C₂²	semidirect
43. C₇×#482	C₂²	semidirect
44. C₇×#481	C₂²	semidirect
45. C₇×#480	C₂²	semidirect
46. C₇×#479	C₂²	semidirect
47. C₇×#478	C₂²	semidirect
48. C₇×#469	C₂²	semidirect
49. C₇×#468	C₂²	semidirect
50. C₇×#466	C₂²	semidirect
51. C₇×#465	C₂²	semidirect
52. C₇×#460	C₂²	semidirect
53. C₇×#459	C₂²	semidirect
54. C₇×#452	C₂²	semidirect
55. C₇×#450	C₂²	semidirect
56. C₇×#449	C₂²	semidirect
57. C₇×#447	C₂²	semidirect
58. C₇×#442	C₂²	semidirect
59. C₇×#441	C₂²	semidirect
60. C₇×#440	C₂²	semidirect
61. C₇×#440	C₂²	semidirect
62. C₇×#435	C₂²	semidirect
63. C₇×#435	C₂²	semidirect
64. C₇×#428	C₂²	semidirect
65. C₇×#427	C₂²	semidirect
66. C₇×#423	C₂²	semidirect
67. C₇×#418	C₂²	semidirect
68. C₇×#418	C₂²	semidirect
70. C₇×#417	C₂²	semidirect
72. C₇×#416	C₂²	semidirect
73. C₇×#416	C₂²	semidirect
74. C₂×C₇×#102	C₂²	semidirect
75. C₂×C₇×#102	C₂²	semidirect
76. C₂×C₇×#102	C₂²	semidirect
77. C₇×#408	C₂²	semidirect
78. C₂×C₇×#97	C₂²	semidirect
79. #61223	C₇	direct (N × H)
184. #3512	C₂×C₇	semidirect
185. #3498	C₂×C₇	semidirect
186. #3318	C₂×C₇	semidirect
187. #3317	C₂×C₇	semidirect
188. #3310	C₂×C₇	semidirect
189. #3309	C₂×C₇	semidirect
190. C₂×#490	C₂×C₇	semidirect
191. #3096	C₂×C₇	semidirect
192. #3080	C₂×C₇	semidirect
193. #3062	C₂×C₇	semidirect
194. #3038	C₂×C₇	semidirect
195. #3012	C₂×C₇	semidirect
196. #2943	C₂×C₇	semidirect
197. #2932	C₂×C₇	semidirect
198. #2897	C₂×C₇	semidirect
293. C₂×AGL(1,ℤ/8)	C₂²×C₇	semidirect
295. C₂×#131	C₂²×C₇	semidirect
297. #553	C₂²×C₇	semidirect
298. #552	C₂²×C₇	semidirect
304. #537	C₂²×C₇	semidirect
312. C₂×#125	C₂²×C₇	semidirect
313. #520	C₂²×C₇	semidirect
315. C₄×#41	C₂²×C₇	semidirect
316. #490	C₂²×C₇	semidirect
317. #490	C₂²×C₇	semidirect
318. #482	C₂²×C₇	semidirect
319. #482	C₂²×C₇	semidirect
320. #481	C₂²×C₇	semidirect
321. #480	C₂²×C₇	semidirect
322. #479	C₂²×C₇	semidirect
323. #478	C₂²×C₇	semidirect
324. #469	C₂²×C₇	semidirect
325. #468	C₂²×C₇	semidirect
326. #466	C₂²×C₇	semidirect
327. #465	C₂²×C₇	semidirect
328. #460	C₂²×C₇	semidirect
329. #459	C₂²×C₇	semidirect
330. #452	C₂²×C₇	semidirect
331. #450	C₂²×C₇	semidirect
332. #449	C₂²×C₇	semidirect
333. #447	C₂²×C₇	semidirect
334. #442	C₂²×C₇	semidirect
335. #441	C₂²×C₇	semidirect
336. #440	C₂²×C₇	semidirect
337. #440	C₂²×C₇	semidirect
338. #435	C₂²×C₇	semidirect
339. #435	C₂²×C₇	semidirect
340. #428	C₂²×C₇	semidirect
341. #427	C₂²×C₇	semidirect
342. #423	C₂²×C₇	semidirect
343. #418	C₂²×C₇	semidirect
344. #418	C₂²×C₇	semidirect
346. #417	C₂²×C₇	semidirect
348. #416	C₂²×C₇	semidirect
349. #416	C₂²×C₇	semidirect
350. C₂×#102	C₂²×C₇	semidirect
351. C₂×#102	C₂²×C₇	semidirect
352. C₂×#102	C₂²×C₇	semidirect
353. #408	C₂²×C₇	semidirect
354. C₂×#97	C₂²×C₇	semidirect
707. C₇	#61223	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×#3512	2
C₇×#3498	2
C₇×#3318	2
C₇×#3317	2
C₇×#3310	2
C₇×#3309	2
C₂×C₇×#490	2
C₇×#3096	2
C₇×#3080	2
C₇×#3062	2
C₇×#3038	2
C₇×#3012	2
C₇×#2943	2
C₇×#2932	2
C₇×#2897	2
#61223	7

Subgroups — C7×#61223 #13238439

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61223 #13238439