Subgroups — C₇×#60698 #13237914

Order 1792.

1970 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3460	C₂	1	2	yes	maximal, complemented
2	C₇×#3184	C₂	1	2	yes	maximal, complemented
3	C₇×#3183	C₂	1	2	yes	maximal, complemented
4	C₇×#3180	C₂	1	4	yes	maximal, complemented
5	C₇×#3179	C₂	1	4	yes	maximal, complemented
6	C₇×#3176	C₂	1	2	yes	maximal, complemented
7	C₇×#3173	C₂	1	2	yes	maximal, complemented
8	C₇×#3163	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3155	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3136	C₂	1	2	yes	maximal, complemented
11	C₇×#3062	C₂	1	2	yes	maximal, complemented
12	C₇×#3060	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3058	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₇×AGL(1,ℤ/8)	C₂	1	2	yes	maximal, complemented
15	C₇×#2943	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₇×#442	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#2875	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	2	yes	—
19	C₂×C₇×#135	C₂²	1	1	yes	characteristic
20	C₂²×C₇×D₈	C₂²	1	1	yes	characteristic
21	C₂×C₇×#131	C₂²	1	1	yes	characteristic
22	C₂×C₇×#131	C₂²	1	1	yes	characteristic
23	C₇×#544	C₂²	1	2	yes	—
24	C₇×#542	—	2	2	no	—
25	C₇×#542	C₂²	1	4	yes	complemented
26	C₇×#540	—	2	2	no	—
27	C₇×#540	C₂²	1	4	yes	complemented
28	C₇×#538	—	2	4	no	—
29	C₇×#537	C₂²	1	2	yes	—
30	C₇×#535	C₂²	1	2	yes	—
31	C₇×#535	C₂²	1	2	yes	—
32	C₇×#532	—	2	2	no	—
33	C₇×#532	C₂²	1	4	yes	complemented
34	C₇×#529	—	2	2	no	—
35	C₇×#529	C₂²	1	4	yes	complemented
36	C₇×#525	—	2	4	no	—
37	C₄×C₇×#41	C₂²	1	2	yes	—
38	C₄×C₇×#41	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
40	C₇×#501	C₂²	1	4	yes	complemented
41	C₇×#499	C₂²	1	2	yes	complemented
42	C₇×#498	C₂²	1	2	yes	complemented
43	C₇×#496	C₂²	1	4	yes	—
44	C₇×#495	C₂²	1	2	yes	—
45	C₇×#493	C₂²	1	2	yes	—
46	C₇×#490	C₂²	1	4	yes	complemented
47	C₇×#489	C₂²	1	4	yes	complemented
48	C₇×#488	C₂²	1	4	yes	complemented
49	C₇×#486	C₂²	1	4	yes	complemented
50	C₇×#470	C₂²	1	2	yes	complemented
51	C₇×#469	C₂²	1	2	yes	—
52	C₇×#469	C₂²	1	2	yes	—
53	C₇×#469	C₂²	1	2	yes	complemented
54	C₇×#469	C₂²	1	4	yes	complemented
55	C₇×#468	C₂²	1	4	yes	complemented
56	C₇×#466	C₂²	1	4	yes	—
57	C₇×#466	C₂²	1	4	yes	complemented
58	C₇×#465	C₂²	1	4	yes	complemented
59	C₇×#465	C₂²	1	4	yes	complemented
60	C₇×#442	C₂²	1	2	yes	—
61	C₇×#442	C₂²	1	2	yes	—
62	C₇×#442	C₂²	1	2	yes	—
63	C₇×#442	C₂²	1	2	yes	—
64	C₇×#442	C₂²	1	1	yes	characteristic, complemented
65	C₇×#442	C₂²	1	4	yes	complemented
66	C₇×#442	C₂²	1	1	yes	characteristic, complemented
67	C₇×#441	C₂²	1	1	yes	characteristic, complemented
68	C₇×#441	C₂²	1	1	yes	characteristic, complemented
69	C₇×#440	C₂²	1	2	yes	complemented
70	C₇×#440	C₂²	1	2	yes	complemented
71	C₇×#440	C₂²	1	4	yes	complemented
72	C₄×C₇×SD₁₆	C₂²	1	4	yes	complemented
73	C₄×C₇×D₈	C₂²	1	4	yes	complemented
74	C₇×#428	C₂²	1	2	yes	—
75	C₇×#427	C₂²	1	1	yes	characteristic
76	C₂×C₇×#106	C₂²	1	1	yes	characteristic
77	C₇×#418	C₂²	1	2	yes	—
78	C₇×#417	C₂²	1	2	yes	—
79	C₇×#416	C₂²	1	2	yes	—
80	C₂×C₇×#102	C₂²	1	2	yes	—
81	C₇×#405	C₂²	1	1	yes	characteristic
82	C₇×#405	C₂²	1	1	yes	characteristic
83	C₇×#405	C₂²	1	2	yes	complemented
84	C₇×#405	C₂²	1	2	yes	complemented
85	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic
86	C₄×C₇×M₁₆	C₂²	1	2	yes	complemented
87	C₂×C₇×#97	C₂²	1	1	yes	characteristic
88	C₂×C₇×#97	C₂²	1	2	yes	complemented
89	#60698	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
90	C₂×C₇×#41	—	2	4	no	—
91	C₂×C₇×#41	C₂³	1	2	yes	—
92	C₂×C₇×#41	C₂³	1	1	yes	characteristic
93	C₂²×C₇×D₄	C₂³	1	2	yes	—
94	C₂³×C₄×C₇	—	2	2	no	—
95	C₇×AGL(1,ℤ/8)	—	2	8	no	—
96	C₇×#135	—	2	4	no	—
97	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
98	C₂×C₇×SD₁₆	C₂³	1	4	yes	—
99	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
100	C₂×C₇×D₈	—	2	4	no	—
101	C₂×C₇×D₈	C₂³	1	2	yes	—
102	C₂×C₇×D₈	C₂³	1	4	yes	—
103	C₂×C₇×D₈	C₂³	1	2	yes	—
104	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
105	C₇×#131	—	2	4	no	—
106	C₇×#131	—	2	4	no	—
107	C₂×C₇×M₁₆	C₂³	1	2	yes	—
108	C₂×C₇×M₁₆	C₂³	1	2	yes	—
109	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
110	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
111	C₂²×C₇×C₈	C₂³	1	2	yes	—
112	C₂²×C₇×C₈	C₂³	1	2	yes	—
113	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
114	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
115	C₇×C₄⋊Q₈	—	2	2	no	—
116	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
117	C₇×#127	—	2	2	no	—
118	C₇×#127	C₂³	1	4	yes	—
119	C₇×#126	—	2	4	no	—
120	C₇×#126	—	2	4	no	—
121	C₇×#125	—	2	2	no	—
122	C₇×#125	C₂³	1	4	yes	—
123	C₇×#124	—	2	2	no	—
124	C₇×#124	—	2	4	no	—
125	C₇×#124	—	2	4	no	—
126	C₇×#124	C₂³	1	4	yes	—
127	C₇×#123	—	2	4	no	—
128	C₇×#123	—	2	4	no	—
129	C₇×#123	—	2	4	no	—
130	C₇×#123	—	2	4	no	—
131	C₇×C₂²⋊Q₈	—	2	2	no	—
132	C₇×C₂²⋊Q₈	—	2	4	no	—
133	C₇×C₂²⋊Q₈	—	2	4	no	—
134	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
135	C₇×#121	—	2	4	no	—
136	C₇×#121	—	2	2	no	—
137	C₇×#121	—	2	4	no	—
138	C₇×#121	—	2	2	no	—
139	C₇×#121	—	2	2	no	—
140	C₇×#121	—	2	4	no	—
141	C₇×#121	—	2	4	no	—
142	C₇×#121	C₂³	1	4	yes	—
143	C₇×#121	C₂³	1	4	yes	—
144	C₇×#121	C₂³	1	4	yes	—
145	C₇×#120	—	2	4	no	—
146	C₇×#120	—	2	4	no	—
147	C₄×C₇×Q₈	D₄	1	2	yes	—
148	C₄×C₇×Q₈	C₂³	1	2	yes	—
149	C₄×C₇×Q₈	C₂³	1	2	yes	—
150	C₄×C₇×D₄	—	2	2	no	—
151	C₄×C₇×D₄	—	2	2	no	—
152	C₄×C₇×D₄	—	2	4	no	—
153	C₄×C₇×D₄	—	2	2	no	—
154	C₄×C₇×D₄	—	2	2	no	—
155	C₄×C₇×D₄	—	2	4	no	—
156	C₄×C₇×D₄	D₄	1	4	yes	—
157	C₄×C₇×D₄	D₄	1	2	yes	—
158	C₄×C₇×D₄	C₂³	1	4	yes	—
159	C₄×C₇×D₄	C₂³	1	4	yes	—
160	C₄×C₇×D₄	C₂³	1	2	yes	—
161	C₄×C₇×D₄	C₂³	1	2	yes	—
162	C₇×#117	—	2	2	no	—
163	C₇×#117	—	2	4	no	—
164	C₇×#117	C₂³	1	2	yes	—
165	C₇×#117	C₂³	1	1	yes	characteristic
166	C₇×#117	C₂³	1	2	yes	—
167	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
168	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
169	C₂×C₄²×C₇	—	2	2	no	—
170	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
171	C₂×C₄²×C₇	C₂³	1	2	yes	—
172	C₇×#107	C₂³	1	2	yes	—
173	C₇×#107	C₂³	1	4	yes	—
174	C₇×#106	C₂³	1	1	yes	characteristic
175	C₇×#106	C₂³	1	1	yes	characteristic
176	C₇×#106	C₂³	1	2	yes	—
177	C₇×#106	C₂³	1	4	yes	—
178	C₇×#106	C₂³	1	2	yes	—
179	C₇×#103	C₂³	1	2	yes	—
180	C₇×#103	C₂³	1	4	yes	—
181	C₇×#103	C₂³	1	2	yes	—
182	C₇×#102	C₂³	1	4	yes	—
183	C₇×#102	C₂³	1	4	yes	—
184	C₇×#102	C₂³	1	2	yes	—
185	C₇×#102	C₂³	1	4	yes	—
186	C₇×#102	C₂³	1	4	yes	—
187	C₇×#102	C₂³	1	2	yes	—
188	C₇×#102	C₂³	1	4	yes	—
189	C₇×#97	C₂³	1	2	yes	—
190	C₇×#97	C₂³	1	2	yes	—
191	C₇×#97	C₂³	1	1	yes	characteristic
192	C₇×#97	C₂³	1	1	yes	characteristic
193	C₇×#97	C₂³	1	1	yes	characteristic
194	C₇×#97	C₂³	1	1	yes	characteristic
195	C₇×#97	C₂³	1	2	yes	—
196	C₄×C₇×C₈	C₂³	1	2	yes	—
197	C₄×C₇×C₈	C₂³	1	2	yes	—
198	C₄×C₇×C₈	C₂³	1	2	yes	—
199	#3460	C₂×C₇	1	2	yes	complemented
200	#3184	C₂×C₇	1	2	yes	complemented
201	#3183	C₂×C₇	1	2	yes	complemented
202	#3180	C₂×C₇	1	4	yes	complemented
203	#3179	C₂×C₇	1	4	yes	complemented
204	#3176	C₂×C₇	1	2	yes	complemented
205	#3173	C₂×C₇	1	2	yes	complemented
206	#3163	C₂×C₇	1	1	yes	characteristic, complemented
207	#3155	C₂×C₇	1	1	yes	characteristic, complemented
208	#3136	C₂×C₇	1	2	yes	complemented
209	#3062	C₂×C₇	1	2	yes	complemented
210	#3060	C₂×C₇	1	1	yes	characteristic, complemented
211	#3058	C₂×C₇	1	1	yes	characteristic, complemented
212	C₄×AGL(1,ℤ/8)	C₂×C₇	1	2	yes	complemented
213	#2943	C₂×C₇	1	1	yes	characteristic, complemented
214	C₂×#442	C₂×C₇	1	1	yes	characteristic, complemented
215	#2875	C₂×C₇	1	1	yes	characteristic, complemented
216	C₂⁴×C₇	—	2	2	no	—
217	C₇×#41	—	2	2	no	—
218	C₇×#41	—	2	2	no	—
219	C₇×#41	—	2	4	no	—
220	C₇×#41	—	2	4	no	—
221	C₇×#41	—	8	8	no	—
222	C₂×C₇×Q₈	—	2	4	no	—
223	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
224	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
225	C₂×C₇×D₄	—	2	2	no	—
226	C₂×C₇×D₄	—	2	4	no	—
227	C₂×C₇×D₄	—	2	4	no	—
228	C₂×C₇×D₄	—	2	4	no	—
229	C₂×C₇×D₄	—	2	2	no	—
230	C₂×C₇×D₄	—	2	4	no	—
231	C₂×C₇×D₄	—	2	4	no	—
232	C₂×C₇×D₄	—	2	4	no	—
233	C₂×C₇×D₄	—	2	4	no	—
234	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
235	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
236	C₂×C₇×D₄	C₂⁴	1	4	yes	—
237	C₂×C₇×D₄	C₂⁴	1	2	yes	—
238	C₂²×C₄×C₇	—	2	2	no	—
239	C₂²×C₄×C₇	—	2	2	no	—
240	C₂²×C₄×C₇	—	2	2	no	—
241	C₂²×C₄×C₇	—	2	4	no	—
242	C₂²×C₄×C₇	—	2	2	no	—
243	C₂²×C₄×C₇	—	2	4	no	—
244	C₂²×C₄×C₇	—	8	4	no	—
245	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
246	C₂²×C₄×C₇	C₂×D₄	1	4	yes	—
247	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
248	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
249	C₇×Q₁₆	—	2	2	no	—
250	C₇×SD₁₆	—	2	4	no	—
251	C₇×SD₁₆	—	2	8	no	—
252	C₇×D₈	—	2	4	no	—
253	C₇×D₈	—	2	4	no	—
254	C₇×D₈	—	2	2	no	—
255	C₇×D₈	—	2	8	no	—
256	C₇×M₁₆	—	2	2	no	—
257	C₇×M₁₆	—	2	4	no	—
258	C₇×M₁₆	—	2	4	no	—
259	C₇×M₁₆	#41	1	4	yes	complemented
260	C₂×C₇×C₈	—	2	2	no	—
261	C₂×C₇×C₈	—	2	4	no	—
262	C₂×C₇×C₈	—	2	4	no	—
263	C₂×C₇×C₈	#41	1	4	yes	complemented
264	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
265	C₂×C₇×C₈	C₂⁴	1	2	yes	—
266	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
267	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
268	C₂×C₇×C₈	C₂⁴	1	2	yes	—
269	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
270	C₇×C₄⋊C₄	—	2	2	no	—
271	C₇×C₄⋊C₄	—	2	2	no	—
272	C₇×C₄⋊C₄	—	2	2	no	—
273	C₇×C₄⋊C₄	—	2	4	no	—
274	C₇×C₄⋊C₄	—	2	4	no	—
275	C₇×C₄⋊C₄	—	2	4	no	—
276	C₇×C₄⋊C₄	—	2	4	no	—
277	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
278	C₇×C₄⋊C₄	C₂×D₄	1	4	yes	—
279	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
280	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
281	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
282	C₇×C₂²⋊C₄	—	2	2	no	—
283	C₇×C₂²⋊C₄	—	2	4	no	—
284	C₇×C₂²⋊C₄	—	2	4	no	—
285	C₇×C₂²⋊C₄	—	2	4	no	—
286	C₇×C₂²⋊C₄	—	2	2	no	—
287	C₇×C₂²⋊C₄	—	2	2	no	—
288	C₇×C₂²⋊C₄	—	2	4	no	—
289	C₇×C₂²⋊C₄	—	2	4	no	—
290	C₇×C₂²⋊C₄	—	2	4	no	—
291	C₇×C₂²⋊C₄	—	2	4	no	—
292	C₇×C₂²⋊C₄	—	2	4	no	—
293	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
294	C₇×C₂²⋊C₄	C₂×D₄	1	4	yes	—
295	C₄²×C₇	—	2	2	no	—
296	C₄²×C₇	—	2	2	no	—
297	C₄²×C₇	—	2	2	no	—
298	C₄²×C₇	C₂×D₄	1	2	yes	—
299	C₄²×C₇	C₂×D₄	1	4	yes	—
300	C₄²×C₇	C₂⁴	1	1	yes	characteristic
301	C₄²×C₇	C₂⁴	1	2	yes	—
302	C₄²×C₇	C₂⁴	1	1	yes	characteristic
303	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	2	yes	—
304	C₂×#135	C₂²×C₇	1	1	yes	characteristic
305	C₂²×D₈	C₂²×C₇	1	1	yes	characteristic
306	C₂×#131	C₂²×C₇	1	1	yes	characteristic
307	C₂×#131	C₂²×C₇	1	1	yes	characteristic
308	#544	C₂²×C₇	1	2	yes	—
309	#542	—	2	2	no	—
310	#542	C₂²×C₇	1	4	yes	complemented
311	#540	—	2	2	no	—
312	#540	C₂²×C₇	1	4	yes	complemented
313	#538	—	2	4	no	—
314	#537	C₂²×C₇	1	2	yes	—
315	#535	C₂²×C₇	1	2	yes	—
316	#535	C₂²×C₇	1	2	yes	—
317	#532	—	2	2	no	—
318	#532	C₂²×C₇	1	4	yes	complemented
319	#529	—	2	2	no	—
320	#529	C₂²×C₇	1	4	yes	complemented
321	#525	—	2	4	no	—
322	C₄×#41	C₂²×C₇	1	2	yes	—
323	C₄×#41	C₂²×C₇	1	1	yes	characteristic
324	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
325	#501	C₂²×C₇	1	4	yes	complemented
326	#499	C₂²×C₇	1	2	yes	complemented
327	#498	C₂²×C₇	1	2	yes	complemented
328	#496	C₂²×C₇	1	4	yes	—
329	#495	C₂²×C₇	1	2	yes	—
330	#493	C₂²×C₇	1	2	yes	—
331	#490	C₂²×C₇	1	4	yes	complemented
332	#489	C₂²×C₇	1	4	yes	complemented
333	#488	C₂²×C₇	1	4	yes	complemented
334	#486	C₂²×C₇	1	4	yes	complemented
335	#470	C₂²×C₇	1	2	yes	complemented
336	#469	C₂²×C₇	1	2	yes	—
337	#469	C₂²×C₇	1	2	yes	—
338	#469	C₂²×C₇	1	2	yes	complemented
339	#469	C₂²×C₇	1	4	yes	complemented
340	#468	C₂²×C₇	1	4	yes	complemented
341	#466	C₂²×C₇	1	4	yes	—
342	#466	C₂²×C₇	1	4	yes	complemented
343	#465	C₂²×C₇	1	4	yes	complemented
344	#465	C₂²×C₇	1	4	yes	complemented
345	#442	C₂²×C₇	1	2	yes	—
346	#442	C₂²×C₇	1	2	yes	—
347	#442	C₂²×C₇	1	2	yes	—
348	#442	C₂²×C₇	1	2	yes	—
349	#442	C₂²×C₇	1	1	yes	characteristic, complemented
350	#442	C₂²×C₇	1	4	yes	complemented
351	#442	C₂²×C₇	1	1	yes	characteristic, complemented
352	#441	C₂²×C₇	1	1	yes	characteristic, complemented
353	#441	C₂²×C₇	1	1	yes	characteristic, complemented
354	#440	C₂²×C₇	1	2	yes	complemented
355	#440	C₂²×C₇	1	2	yes	complemented
356	#440	C₂²×C₇	1	4	yes	complemented
357	C₄×SD₁₆	C₂²×C₇	1	4	yes	complemented
358	C₄×D₈	C₂²×C₇	1	4	yes	complemented
359	#428	C₂²×C₇	1	2	yes	—
360	#427	C₂²×C₇	1	1	yes	characteristic
361	C₂×#106	C₂²×C₇	1	1	yes	characteristic
362	#418	C₂²×C₇	1	2	yes	—
363	#417	C₂²×C₇	1	2	yes	—
364	#416	C₂²×C₇	1	2	yes	—
365	C₂×#102	C₂²×C₇	1	2	yes	—
366	#405	C₂²×C₇	1	1	yes	characteristic
367	#405	C₂²×C₇	1	1	yes	characteristic
368	#405	C₂²×C₇	1	2	yes	complemented
369	#405	C₂²×C₇	1	2	yes	complemented
370	C₄×M₁₆	C₂²×C₇	1	1	yes	characteristic
371	C₄×M₁₆	C₂²×C₇	1	2	yes	complemented
372	C₂×#97	C₂²×C₇	1	1	yes	characteristic
373	C₂×#97	C₂²×C₇	1	2	yes	complemented
374	C₂³×C₇	—	2	4	no	—
375	C₂³×C₇	—	2	2	no	—
376	C₂³×C₇	—	4	4	no	—
377	C₂³×C₇	—	8	2	no	—
378	C₂³×C₇	—	8	2	no	—
379	C₂³×C₇	C₂²×D₄	1	2	yes	—
380	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
381	C₇×Q₈	—	2	2	no	—
382	C₇×Q₈	—	2	2	no	—
383	C₇×Q₈	—	2	2	no	—
384	C₇×Q₈	—	8	4	no	—
385	C₇×D₄	—	2	4	no	—
386	C₇×D₄	—	2	2	no	—
387	C₇×D₄	—	2	4	no	—
388	C₇×D₄	—	2	2	no	—
389	C₇×D₄	—	2	4	no	—
390	C₇×D₄	—	2	2	no	—
391	C₇×D₄	—	4	4	no	—
392	C₇×D₄	—	4	4	no	—
393	C₇×D₄	—	8	4	no	—
394	C₇×D₄	—	8	4	no	—
395	C₇×D₄	—	8	4	no	—
396	C₇×D₄	—	8	4	no	—
397	C₇×D₄	—	8	4	no	—
398	C₂×C₄×C₇	—	2	2	no	—
399	C₂×C₄×C₇	—	2	2	no	—
400	C₂×C₄×C₇	—	2	2	no	—
401	C₂×C₄×C₇	—	2	2	no	—
402	C₂×C₄×C₇	—	2	2	no	—
403	C₂×C₄×C₇	—	2	4	no	—
404	C₂×C₄×C₇	—	4	2	no	—
405	C₂×C₄×C₇	—	4	4	no	—
406	C₂×C₄×C₇	—	4	8	no	—
407	C₂×C₄×C₇	—	4	4	no	—
408	C₂×C₄×C₇	—	4	4	no	—
409	C₂×C₄×C₇	—	8	2	no	—
410	C₂×C₄×C₇	—	8	4	no	—
411	C₂×C₄×C₇	—	8	2	no	—
412	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
413	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
414	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
415	C₂×C₄×C₇	C₂²×D₄	1	4	yes	—
416	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
417	C₂×C₄×C₇	C₂×#41	1	2	yes	—
418	C₂×C₄×C₇	C₂×#41	1	2	yes	—
419	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
420	C₇×C₈	—	2	1	no	—
421	C₇×C₈	—	2	1	no	—
422	C₇×C₈	—	2	2	no	—
423	C₇×C₈	C₂×#41	1	2	yes	—
424	C₇×C₈	C₂×#41	1	4	yes	—
425	C₇×C₈	C₂×#41	1	2	yes	—
426	C₂×#41	—	2	4	no	—
427	C₂×#41	C₂³×C₇	1	2	yes	—
428	C₂×#41	C₂³×C₇	1	1	yes	characteristic
429	C₂²×D₄	C₂³×C₇	1	2	yes	—
430	C₂³×C₄	—	2	2	no	—
431	AGL(1,ℤ/8)	—	2	8	no	—
432	#135	—	2	4	no	—
433	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
434	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
435	C₂×SD₁₆	C₂³×C₇	1	4	yes	—
436	C₂×D₈	—	2	4	no	—
437	C₂×D₈	C₂³×C₇	1	2	yes	—
438	C₂×D₈	C₂³×C₇	1	2	yes	—
439	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
440	C₂×D₈	C₂³×C₇	1	4	yes	—
441	#131	—	2	4	no	—
442	#131	—	2	4	no	—
443	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
444	C₂×M₁₆	C₂³×C₇	1	2	yes	—
445	C₂×M₁₆	C₂³×C₇	1	2	yes	—
446	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
447	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
448	C₂²×C₈	C₂³×C₇	1	2	yes	—
449	C₂²×C₈	C₂³×C₇	1	2	yes	—
450	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
451	C₄⋊Q₈	—	2	2	no	—
452	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
453	#127	—	2	2	no	—
454	#127	C₂³×C₇	1	4	yes	—
455	#126	—	2	4	no	—
456	#126	—	2	4	no	—
457	#125	—	2	2	no	—
458	#125	C₂³×C₇	1	4	yes	—
459	#124	—	2	2	no	—
460	#124	—	2	4	no	—
461	#124	—	2	4	no	—
462	#124	C₂³×C₇	1	4	yes	—
463	#123	—	2	4	no	—
464	#123	—	2	4	no	—
465	#123	—	2	4	no	—
466	#123	—	2	4	no	—
467	C₂²⋊Q₈	—	2	2	no	—
468	C₂²⋊Q₈	—	2	4	no	—
469	C₂²⋊Q₈	—	2	4	no	—
470	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
471	#121	—	2	4	no	—
472	#121	—	2	2	no	—
473	#121	—	2	4	no	—
474	#121	—	2	2	no	—
475	#121	—	2	2	no	—
476	#121	—	2	4	no	—
477	#121	—	2	4	no	—
478	#121	C₂³×C₇	1	4	yes	—
479	#121	C₂³×C₇	1	4	yes	—
480	#121	C₂³×C₇	1	4	yes	—
481	#120	—	2	4	no	—
482	#120	—	2	4	no	—
483	C₄×Q₈	C₇×D₄	1	2	yes	—
484	C₄×Q₈	C₂³×C₇	1	2	yes	—
485	C₄×Q₈	C₂³×C₇	1	2	yes	—
486	C₄×D₄	—	2	2	no	—
487	C₄×D₄	—	2	2	no	—
488	C₄×D₄	—	2	4	no	—
489	C₄×D₄	—	2	2	no	—
490	C₄×D₄	—	2	2	no	—
491	C₄×D₄	—	2	4	no	—
492	C₄×D₄	C₇×D₄	1	4	yes	—
493	C₄×D₄	C₇×D₄	1	2	yes	—
494	C₄×D₄	C₂³×C₇	1	4	yes	—
495	C₄×D₄	C₂³×C₇	1	4	yes	—
496	C₄×D₄	C₂³×C₇	1	2	yes	—
497	C₄×D₄	C₂³×C₇	1	2	yes	—
498	#117	—	2	2	no	—
499	#117	—	2	4	no	—
500	#117	C₂³×C₇	1	2	yes	—
501	#117	C₂³×C₇	1	1	yes	characteristic
502	#117	C₂³×C₇	1	2	yes	—
503	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
504	C₂×C₂²⋊C₄	—	2	2	no	—
505	C₂×C₄²	—	2	2	no	—
506	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
507	C₂×C₄²	C₂³×C₇	1	2	yes	—
508	#107	C₂³×C₇	1	2	yes	—
509	#107	C₂³×C₇	1	4	yes	—
510	#106	C₂³×C₇	1	2	yes	—
511	#106	C₂³×C₇	1	2	yes	—
512	#106	C₂³×C₇	1	1	yes	characteristic
513	#106	C₂³×C₇	1	1	yes	characteristic
514	#106	C₂³×C₇	1	4	yes	—
515	#103	C₂³×C₇	1	2	yes	—
516	#103	C₂³×C₇	1	2	yes	—
517	#103	C₂³×C₇	1	4	yes	—
518	#102	C₂³×C₇	1	4	yes	—
519	#102	C₂³×C₇	1	4	yes	—
520	#102	C₂³×C₇	1	2	yes	—
521	#102	C₂³×C₇	1	2	yes	—
522	#102	C₂³×C₇	1	4	yes	—
523	#102	C₂³×C₇	1	4	yes	—
524	#102	C₂³×C₇	1	4	yes	—
525	#97	C₂³×C₇	1	1	yes	characteristic
526	#97	C₂³×C₇	1	1	yes	characteristic
527	#97	C₂³×C₇	1	1	yes	characteristic
528	#97	C₂³×C₇	1	1	yes	characteristic
529	#97	C₂³×C₇	1	2	yes	—
530	#97	C₂³×C₇	1	2	yes	—
531	#97	C₂³×C₇	1	2	yes	—
532	C₄×C₈	C₂³×C₇	1	2	yes	—
533	C₄×C₈	C₂³×C₇	1	2	yes	—
534	C₄×C₈	C₂³×C₇	1	2	yes	—
535	C₂²×C₇	—	2	2	no	—
536	C₂²×C₇	—	2	4	no	—
537	C₂²×C₇	—	2	2	no	—
538	C₂²×C₇	—	4	4	no	—
539	C₂²×C₇	—	4	2	no	—
540	C₂²×C₇	—	4	2	no	—
541	C₂²×C₇	—	4	4	no	—
542	C₂²×C₇	—	4	2	no	—
543	C₂²×C₇	—	4	4	no	—
544	C₂²×C₇	—	8	8	no	—
545	C₂²×C₇	#532	1	2	yes	—
546	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
547	C₄×C₇	—	2	2	no	—
548	C₄×C₇	—	2	2	no	—
549	C₄×C₇	—	2	4	no	—
550	C₄×C₇	—	2	2	no	—
551	C₄×C₇	—	4	4	no	—
552	C₄×C₇	—	4	2	no	—
553	C₄×C₇	—	4	2	no	—
554	C₄×C₇	—	4	2	no	—
555	C₄×C₇	#532	1	2	yes	—
556	C₄×C₇	C₂²×#41	1	1	yes	characteristic
557	C₄×C₇	C₂²×#41	1	1	yes	characteristic
558	C₂⁴	—	2	2	no	—
559	#41	—	2	2	no	—
560	#41	—	2	2	no	—
561	#41	—	2	4	no	—
562	#41	—	2	4	no	—
563	#41	—	8	8	no	—
564	C₂×Q₈	—	2	4	no	—
565	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
566	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
567	C₂×D₄	—	2	2	no	—
568	C₂×D₄	—	2	4	no	—
569	C₂×D₄	—	2	4	no	—
570	C₂×D₄	—	2	4	no	—
571	C₂×D₄	—	2	2	no	—
572	C₂×D₄	—	2	4	no	—
573	C₂×D₄	—	2	4	no	—
574	C₂×D₄	—	2	4	no	—
575	C₂×D₄	—	2	4	no	—
576	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
577	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
578	C₂×D₄	C₂⁴×C₇	1	4	yes	—
579	C₂×D₄	C₂⁴×C₇	1	2	yes	—
580	C₂²×C₄	—	2	2	no	—
581	C₂²×C₄	—	2	2	no	—
582	C₂²×C₄	—	2	2	no	—
583	C₂²×C₄	—	2	4	no	—
584	C₂²×C₄	—	2	2	no	—
585	C₂²×C₄	—	2	4	no	—
586	C₂²×C₄	—	8	4	no	—
587	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
588	C₂²×C₄	C₂×C₇×D₄	1	4	yes	—
589	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
590	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
591	Q₁₆	—	2	2	no	—
592	SD₁₆	—	2	4	no	—
593	SD₁₆	—	2	8	no	—
594	D₈	—	2	4	no	—
595	D₈	—	2	4	no	—
596	D₈	—	2	2	no	—
597	D₈	—	2	8	no	—
598	M₁₆	—	2	2	no	—
599	M₁₆	—	2	4	no	—
600	M₁₆	—	2	4	no	—
601	M₁₆	C₇×#41	1	4	yes	complemented
602	C₂×C₈	—	2	2	no	—
603	C₂×C₈	—	2	4	no	—
604	C₂×C₈	—	2	4	no	—
605	C₂×C₈	C₇×#41	1	4	yes	complemented
606	C₂×C₈	C₂⁴×C₇	1	2	yes	—
607	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
608	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
609	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
610	C₂×C₈	C₂⁴×C₇	1	2	yes	—
611	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
612	C₄⋊C₄	—	2	2	no	—
613	C₄⋊C₄	—	2	2	no	—
614	C₄⋊C₄	—	2	2	no	—
615	C₄⋊C₄	—	2	4	no	—
616	C₄⋊C₄	—	2	4	no	—
617	C₄⋊C₄	—	2	4	no	—
618	C₄⋊C₄	—	2	4	no	—
619	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
620	C₄⋊C₄	C₂×C₇×D₄	1	4	yes	—
621	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
622	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
623	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
624	C₂²⋊C₄	—	2	2	no	—
625	C₂²⋊C₄	—	2	4	no	—
626	C₂²⋊C₄	—	2	4	no	—
627	C₂²⋊C₄	—	2	4	no	—
628	C₂²⋊C₄	—	2	2	no	—
629	C₂²⋊C₄	—	2	2	no	—
630	C₂²⋊C₄	—	2	4	no	—
631	C₂²⋊C₄	—	2	4	no	—
632	C₂²⋊C₄	—	2	4	no	—
633	C₂²⋊C₄	—	2	4	no	—
634	C₂²⋊C₄	—	2	4	no	—
635	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
636	C₂²⋊C₄	C₂×C₇×D₄	1	4	yes	—
637	C₄²	—	2	2	no	—
638	C₄²	—	2	2	no	—
639	C₄²	—	2	2	no	—
640	C₄²	C₂×C₇×D₄	1	2	yes	—
641	C₄²	C₂×C₇×D₄	1	4	yes	—
642	C₄²	C₂⁴×C₇	1	1	yes	characteristic
643	C₄²	C₂⁴×C₇	1	2	yes	—
644	C₄²	C₂⁴×C₇	1	1	yes	characteristic
645	C₂×C₇	—	2	2	no	—
646	C₂×C₇	—	4	2	no	—
647	C₂×C₇	—	8	2	no	—
648	C₂×C₇	—	8	4	no	—
649	C₂×C₇	C₂×#532	1	1	yes	characteristic
650	C₂×C₇	#3585	1	2	yes	—
651	C₂³	—	2	4	no	—
652	C₂³	—	2	2	no	—
653	C₂³	—	4	4	no	—
654	C₂³	—	8	2	no	—
655	C₂³	—	8	2	no	—
656	C₂³	C₂²×C₇×D₄	1	2	yes	—
657	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
658	Q₈	—	2	2	no	—
659	Q₈	—	2	2	no	—
660	Q₈	—	2	2	no	—
661	Q₈	—	8	4	no	—
662	D₄	—	2	4	no	—
663	D₄	—	2	4	no	—
664	D₄	—	2	2	no	—
665	D₄	—	2	4	no	—
666	D₄	—	2	2	no	—
667	D₄	—	2	2	no	—
668	D₄	—	4	4	no	—
669	D₄	—	4	4	no	—
670	D₄	—	8	4	no	—
671	D₄	—	8	4	no	—
672	D₄	—	8	4	no	—
673	D₄	—	8	4	no	—
674	D₄	—	8	4	no	—
675	C₂×C₄	—	2	2	no	—
676	C₂×C₄	—	2	2	no	—
677	C₂×C₄	—	2	2	no	—
678	C₂×C₄	—	2	2	no	—
679	C₂×C₄	—	2	2	no	—
680	C₂×C₄	—	2	4	no	—
681	C₂×C₄	—	4	2	no	—
682	C₂×C₄	—	4	4	no	—
683	C₂×C₄	—	4	8	no	—
684	C₂×C₄	—	4	4	no	—
685	C₂×C₄	—	4	4	no	—
686	C₂×C₄	—	8	2	no	—
687	C₂×C₄	—	8	4	no	—
688	C₂×C₄	—	8	2	no	—
689	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
690	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
691	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
692	C₂×C₄	C₂²×C₇×D₄	1	4	yes	—
693	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
694	C₂×C₄	C₂×C₇×#41	1	2	yes	—
695	C₂×C₄	C₂×C₇×#41	1	2	yes	—
696	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
697	C₈	—	2	1	no	—
698	C₈	—	2	1	no	—
699	C₈	—	2	2	no	—
700	C₈	C₂×C₇×#41	1	2	yes	—
701	C₈	C₂×C₇×#41	1	4	yes	—
702	C₈	C₂×C₇×#41	1	2	yes	—
703	C₇	#60698	1	1	yes	characteristic, direct product factor, Sylow
704	C₂²	—	2	2	no	—
705	C₂²	—	2	4	no	—
706	C₂²	—	2	2	no	—
707	C₂²	—	4	4	no	—
708	C₂²	—	4	2	no	—
709	C₂²	—	4	2	no	—
710	C₂²	—	4	4	no	—
711	C₂²	—	4	2	no	—
712	C₂²	—	4	4	no	—
713	C₂²	—	8	8	no	—
714	C₂²	C₇×#532	1	2	yes	—
715	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
716	C₄	—	2	2	no	—
717	C₄	—	2	2	no	—
718	C₄	—	2	4	no	—
719	C₄	—	2	2	no	—
720	C₄	—	4	4	no	—
721	C₄	—	4	2	no	—
722	C₄	—	4	2	no	—
723	C₄	—	4	2	no	—
724	C₄	C₇×#532	1	2	yes	—
725	C₄	C₂²×C₇×#41	1	1	yes	characteristic
726	C₄	C₂²×C₇×#41	1	1	yes	characteristic
727	C₂	—	2	2	no	—
728	C₂	—	4	2	no	—
729	C₂	—	8	4	no	—
730	C₂	—	8	2	no	—
731	C₂	C₂×C₇×#532	1	1	yes	characteristic
732	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 ◁ C₄×C₇×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3460	C₂	semidirect
2. C₇×#3184	C₂	semidirect
3. C₇×#3183	C₂	semidirect
4. C₇×#3180	C₂	semidirect
5. C₇×#3179	C₂	semidirect
6. C₇×#3176	C₂	semidirect
7. C₇×#3173	C₂	semidirect
8. C₇×#3163	C₂	semidirect
9. C₇×#3155	C₂	semidirect
10. C₇×#3136	C₂	semidirect
11. C₇×#3062	C₂	semidirect
12. C₇×#3060	C₂	semidirect
13. C₇×#3058	C₂	semidirect
14. C₄×C₇×AGL(1,ℤ/8)	C₂	semidirect
15. C₇×#2943	C₂	semidirect
16. C₂×C₇×#442	C₂	semidirect
17. C₇×#2875	C₂	semidirect
25. C₇×#542	C₂²	semidirect
27. C₇×#540	C₂²	semidirect
33. C₇×#532	C₂²	semidirect
35. C₇×#529	C₂²	semidirect
40. C₇×#501	C₂²	semidirect
41. C₇×#499	C₂²	semidirect
42. C₇×#498	C₂²	semidirect
46. C₇×#490	C₂²	semidirect
47. C₇×#489	C₂²	semidirect
48. C₇×#488	C₂²	semidirect
49. C₇×#486	C₂²	semidirect
50. C₇×#470	C₂²	semidirect
53. C₇×#469	C₂²	semidirect
54. C₇×#469	C₂²	semidirect
55. C₇×#468	C₂²	semidirect
57. C₇×#466	C₂²	semidirect
58. C₇×#465	C₂²	semidirect
59. C₇×#465	C₂²	semidirect
64. C₇×#442	C₂²	semidirect
65. C₇×#442	C₂²	semidirect
66. C₇×#442	C₂²	semidirect
67. C₇×#441	C₂²	semidirect
68. C₇×#441	C₂²	semidirect
69. C₇×#440	C₂²	semidirect
70. C₇×#440	C₂²	semidirect
71. C₇×#440	C₂²	semidirect
72. C₄×C₇×SD₁₆	C₂²	semidirect
73. C₄×C₇×D₈	C₂²	semidirect
83. C₇×#405	C₂²	semidirect
84. C₇×#405	C₂²	semidirect
86. C₄×C₇×M₁₆	C₂²	semidirect
88. C₂×C₇×#97	C₂²	semidirect
89. #60698	C₇	direct (N × H)
199. #3460	C₂×C₇	semidirect
200. #3184	C₂×C₇	semidirect
201. #3183	C₂×C₇	semidirect
202. #3180	C₂×C₇	semidirect
203. #3179	C₂×C₇	semidirect
204. #3176	C₂×C₇	semidirect
205. #3173	C₂×C₇	semidirect
206. #3163	C₂×C₇	semidirect
207. #3155	C₂×C₇	semidirect
208. #3136	C₂×C₇	semidirect
209. #3062	C₂×C₇	semidirect
210. #3060	C₂×C₇	semidirect
211. #3058	C₂×C₇	semidirect
212. C₄×AGL(1,ℤ/8)	C₂×C₇	semidirect
213. #2943	C₂×C₇	semidirect
214. C₂×#442	C₂×C₇	semidirect
215. #2875	C₂×C₇	semidirect
259. C₇×M₁₆	#41	semidirect
263. C₂×C₇×C₈	#41	semidirect
310. #542	C₂²×C₇	semidirect
312. #540	C₂²×C₇	semidirect
318. #532	C₂²×C₇	semidirect
320. #529	C₂²×C₇	semidirect
325. #501	C₂²×C₇	semidirect
326. #499	C₂²×C₇	semidirect
327. #498	C₂²×C₇	semidirect
331. #490	C₂²×C₇	semidirect
332. #489	C₂²×C₇	semidirect
333. #488	C₂²×C₇	semidirect
334. #486	C₂²×C₇	semidirect
335. #470	C₂²×C₇	semidirect
338. #469	C₂²×C₇	semidirect
339. #469	C₂²×C₇	semidirect
340. #468	C₂²×C₇	semidirect
342. #466	C₂²×C₇	semidirect
343. #465	C₂²×C₇	semidirect
344. #465	C₂²×C₇	semidirect
349. #442	C₂²×C₇	semidirect
350. #442	C₂²×C₇	semidirect
351. #442	C₂²×C₇	semidirect
352. #441	C₂²×C₇	semidirect
353. #441	C₂²×C₇	semidirect
354. #440	C₂²×C₇	semidirect
355. #440	C₂²×C₇	semidirect
356. #440	C₂²×C₇	semidirect
357. C₄×SD₁₆	C₂²×C₇	semidirect
358. C₄×D₈	C₂²×C₇	semidirect
368. #405	C₂²×C₇	semidirect
369. #405	C₂²×C₇	semidirect
371. C₄×M₁₆	C₂²×C₇	semidirect
373. C₂×#97	C₂²×C₇	semidirect
601. M₁₆	C₇×#41	semidirect
605. C₂×C₈	C₇×#41	semidirect
703. C₇	#60698	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×#3460	2
C₇×#3184	2
C₇×#3183	2
C₇×#3180	2
C₇×#3179	2
C₇×#3176	2
C₇×#3173	2
C₇×#3163	2
C₇×#3155	2
C₇×#3136	2
C₇×#3062	2
C₇×#3060	2
C₇×#3058	2
C₄×C₇×AGL(1,ℤ/8)	2
C₇×#2943	2
C₂×C₇×#442	2
C₇×#2875	2
#60698	7

Subgroups — C7×#60698 #13237914

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60698 #13237914