Subgroups — C₇×#61264 #13238480

Order 1792.

1764 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3495	C₂	1	2	yes	maximal
2	C₇×#3349	C₂	1	4	yes	maximal, complemented
3	C₇×#3344	C₂	1	4	yes	maximal, complemented
4	C₇×#3342	C₂	1	2	yes	maximal, complemented
5	C₇×#3338	C₂	1	2	yes	maximal, complemented
6	C₇×#3336	C₂	1	2	yes	maximal, complemented
7	C₇×#3336	C₂	1	2	yes	maximal, complemented
8	C₇×#3164	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3097	C₂	1	2	yes	maximal, complemented
10	C₇×#3095	C₂	1	2	yes	maximal, complemented
11	C₇×#3082	C₂	1	2	yes	maximal, complemented
12	C₇×#3059	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₇×#467	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2950	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#2929	C₂	1	1	yes	maximal, characteristic
16	C₇×#2913	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₇×#427	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×C₇×Q₁₆	C₂²	1	1	yes	characteristic
19	C₂×C₇×#131	C₂²	1	1	yes	characteristic
20	C₂³×C₇×C₈	C₂²	1	1	yes	characteristic
21	C₇×#556	C₂²	1	4	yes	—
22	C₇×#554	C₂²	1	4	yes	—
23	C₇×#552	—	2	4	no	—
24	C₇×#552	C₂²	1	4	yes	—
25	C₇×#552	C₂²	1	4	yes	—
26	C₇×#551	—	2	4	no	—
27	C₇×#544	C₂²	1	2	yes	—
28	C₇×#542	—	2	2	no	—
29	C₇×#541	—	2	2	no	—
30	C₇×#536	C₂²	1	2	yes	—
31	C₇×#533	—	2	2	no	—
32	C₇×#529	—	2	2	no	—
33	C₇×#525	C₂²	1	1	yes	characteristic
34	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
35	C₇×#520	C₂²	1	2	yes	—
36	C₇×#519	C₂²	1	2	yes	—
37	C₂×C₇×#117	C₂²	1	2	yes	—
38	C₇×#501	C₂²	1	4	yes	complemented
39	C₇×#500	C₂²	1	2	yes	complemented
40	C₇×#499	C₂²	1	2	yes	complemented
41	C₇×#485	C₂²	1	4	yes	—
42	C₇×#485	C₂²	1	4	yes	—
43	C₇×#485	C₂²	1	4	yes	complemented
44	C₇×#485	C₂²	1	4	yes	complemented
45	C₇×#484	C₂²	1	4	yes	—
46	C₇×#484	C₂²	1	4	yes	complemented
47	C₇×#483	C₂²	1	4	yes	—
48	C₇×#483	C₂²	1	4	yes	complemented
49	C₇×#479	C₂²	1	4	yes	complemented
50	C₇×#479	C₂²	1	4	yes	complemented
51	C₇×#477	C₂²	1	4	yes	complemented
52	C₇×#475	C₂²	1	4	yes	complemented
53	C₇×#470	C₂²	1	4	yes	complemented
54	C₇×#467	C₂²	1	2	yes	—
55	C₇×#467	C₂²	1	2	yes	—
56	C₇×#467	C₂²	1	2	yes	—
57	C₇×#467	C₂²	1	2	yes	—
58	C₇×#467	C₂²	1	2	yes	complemented
59	C₇×#467	C₂²	1	2	yes	complemented
60	C₇×#441	C₂²	1	4	yes	complemented
61	C₄×C₇×Q₁₆	C₂²	1	2	yes	complemented
62	C₄×C₇×Q₁₆	C₂²	1	2	yes	complemented
63	C₇×#435	C₂²	1	2	yes	—
64	C₇×#435	C₂²	1	2	yes	—
65	C₇×C₈×D₄	C₂²	1	2	yes	—
66	C₇×C₈×D₄	C₂²	1	2	yes	—
67	C₇×#428	C₂²	1	2	yes	—
68	C₇×#428	C₂²	1	2	yes	—
69	C₇×#428	C₂²	1	4	yes	complemented
70	C₇×#427	C₂²	1	1	yes	characteristic
71	C₇×#427	C₂²	1	1	yes	characteristic
72	C₇×#427	C₂²	1	1	yes	characteristic
73	C₇×#427	C₂²	1	2	yes	—
74	C₇×#427	C₂²	1	1	yes	characteristic
75	C₇×#427	C₂²	1	2	yes	—
76	C₇×#427	C₂²	1	2	yes	complemented
77	C₂×C₇×#107	C₂²	1	1	yes	characteristic
78	C₂×C₇×#107	C₂²	1	1	yes	characteristic
79	C₂×C₇×#107	C₂²	1	1	yes	characteristic
80	C₂×C₇×#107	C₂²	1	2	yes	complemented
81	C₂×C₇×#106	C₂²	1	2	yes	—
82	C₇×#424	C₂²	1	1	yes	characteristic
83	C₇×#419	C₂²	1	2	yes	—
84	C₇×#419	C₂²	1	2	yes	—
85	C₂×C₇×#103	C₂²	1	2	yes	—
86	C₇×#408	C₂²	1	1	yes	characteristic
87	C₇×#407	C₂²	1	1	yes	characteristic
88	C₇×#405	C₂²	1	1	yes	characteristic
89	#61264	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
90	C₂×C₇×#41	C₂³	1	1	yes	characteristic
91	C₂²×C₇×Q₈	C₂³	1	2	yes	—
92	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
93	C₂×C₇×Q₁₆	—	2	4	no	—
94	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
95	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
96	C₇×#131	—	2	4	no	—
97	C₂×C₇×M₁₆	C₂³	1	2	yes	—
98	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
99	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
100	C₂²×C₇×C₈	—	2	4	no	—
101	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
102	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
103	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
104	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
105	C₂²×C₇×C₈	C₂³	1	2	yes	—
106	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
107	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
108	C₇×C₄⋊Q₈	—	2	2	no	—
109	C₇×C₄⋊Q₈	—	2	2	no	—
110	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
111	C₇×#126	—	2	4	no	—
112	C₇×#126	—	2	4	no	—
113	C₇×#126	—	2	4	no	—
114	C₇×#126	—	2	4	no	—
115	C₇×#125	—	2	2	no	—
116	C₇×#125	—	2	4	no	—
117	C₇×#125	—	2	4	no	—
118	C₇×#125	—	2	4	no	—
119	C₇×#125	C₂³	1	4	yes	—
120	C₇×#124	—	2	2	no	—
121	C₇×#124	—	2	4	no	—
122	C₇×#123	—	2	4	no	—
123	C₇×#123	—	2	4	no	—
124	C₇×#123	—	2	4	no	—
125	C₇×#123	D₄	1	2	yes	—
126	C₇×C₂²⋊Q₈	—	2	2	no	—
127	C₇×C₂²⋊Q₈	—	2	2	no	—
128	C₇×C₂²⋊Q₈	—	2	4	no	—
129	C₇×C₂²⋊Q₈	—	2	4	no	—
130	C₇×C₂²⋊Q₈	—	2	4	no	—
131	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
132	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
133	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
134	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
135	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
136	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
137	C₇×#121	D₄	1	1	yes	characteristic
138	C₇×#121	D₄	1	1	yes	characteristic
139	C₇×#120	D₄	1	2	yes	—
140	C₄×C₇×Q₈	—	2	2	no	—
141	C₄×C₇×Q₈	—	2	2	no	—
142	C₄×C₇×Q₈	—	2	2	no	—
143	C₄×C₇×Q₈	—	2	4	no	—
144	C₄×C₇×Q₈	C₂³	1	4	yes	—
145	C₄×C₇×Q₈	C₂³	1	4	yes	—
146	C₄×C₇×D₄	—	2	2	no	—
147	C₄×C₇×D₄	—	2	4	no	—
148	C₄×C₇×D₄	—	2	4	no	—
149	C₄×C₇×D₄	C₂³	1	2	yes	—
150	C₄×C₇×D₄	C₂³	1	2	yes	—
151	C₇×#117	—	2	2	no	—
152	C₇×#117	—	2	2	no	—
153	C₇×#117	—	2	4	no	—
154	C₇×#117	—	2	4	no	—
155	C₇×#117	—	2	4	no	—
156	C₇×#117	C₂³	1	2	yes	—
157	C₇×#117	C₂³	1	2	yes	—
158	C₇×#117	C₂³	1	4	yes	—
159	C₇×#117	C₂³	1	2	yes	—
160	C₇×#117	C₂³	1	2	yes	—
161	C₇×#117	C₂³	1	1	yes	characteristic
162	C₂×C₇×C₄⋊C₄	—	2	2	no	—
163	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
164	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
165	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
166	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
167	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
168	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
169	C₂×C₄²×C₇	—	2	2	no	—
170	C₇×#107	C₂³	1	2	yes	—
171	C₇×#107	C₂³	1	2	yes	—
172	C₇×#107	C₂³	1	1	yes	characteristic
173	C₇×#107	C₂³	1	1	yes	characteristic
174	C₇×#107	C₂³	1	2	yes	—
175	C₇×#107	C₂³	1	4	yes	—
176	C₇×#107	C₂³	1	2	yes	—
177	C₇×#107	C₂³	1	4	yes	—
178	C₇×#107	C₂³	1	1	yes	characteristic
179	C₇×#107	C₂³	1	1	yes	characteristic
180	C₇×#106	C₂³	1	2	yes	—
181	C₇×#106	C₂³	1	2	yes	—
182	C₇×#106	C₂³	1	4	yes	—
183	C₇×#106	C₂³	1	2	yes	—
184	C₇×#106	C₂³	1	4	yes	—
185	C₇×#106	C₂³	1	2	yes	—
186	C₇×C₄⋊C₈	C₂³	1	2	yes	—
187	C₇×C₄⋊C₈	C₂³	1	2	yes	—
188	C₇×#103	C₂³	1	4	yes	—
189	C₇×#103	C₂³	1	4	yes	—
190	C₇×#103	C₂³	1	4	yes	—
191	C₇×#103	C₂³	1	4	yes	—
192	C₇×#103	C₂³	1	4	yes	—
193	C₇×#103	C₂³	1	4	yes	—
194	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
195	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
196	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
197	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
198	C₇×#97	C₂³	1	2	yes	—
199	C₄×C₇×C₈	C₂³	1	2	yes	—
200	#3495	C₂×C₇	1	2	yes	—
201	#3349	C₂×C₇	1	4	yes	complemented
202	#3344	C₂×C₇	1	4	yes	complemented
203	#3342	C₂×C₇	1	2	yes	complemented
204	#3338	C₂×C₇	1	2	yes	complemented
205	#3336	C₂×C₇	1	2	yes	complemented
206	#3336	C₂×C₇	1	2	yes	complemented
207	#3164	C₂×C₇	1	1	yes	characteristic, complemented
208	#3097	C₂×C₇	1	2	yes	complemented
209	#3095	C₂×C₇	1	2	yes	complemented
210	#3082	C₂×C₇	1	2	yes	complemented
211	#3059	C₂×C₇	1	1	yes	characteristic, complemented
212	C₂×#467	C₂×C₇	1	1	yes	characteristic, complemented
213	#2950	C₂×C₇	1	1	yes	characteristic, complemented
214	#2929	C₂×C₇	1	1	yes	characteristic
215	#2913	C₂×C₇	1	1	yes	characteristic, complemented
216	C₂×#427	C₂×C₇	1	1	yes	characteristic, complemented
217	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
218	C₇×#41	—	2	2	no	—
219	C₇×#41	—	2	2	no	—
220	C₂×C₇×Q₈	—	2	2	no	—
221	C₂×C₇×Q₈	—	2	4	no	—
222	C₂×C₇×Q₈	—	2	4	no	—
223	C₂×C₇×Q₈	—	2	4	no	—
224	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
225	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
226	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
227	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
228	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
229	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
230	C₂²×C₄×C₇	—	2	2	no	—
231	C₂²×C₄×C₇	—	2	2	no	—
232	C₂²×C₄×C₇	—	2	2	no	—
233	C₂²×C₄×C₇	—	2	2	no	—
234	C₂²×C₄×C₇	—	2	2	no	—
235	C₂²×C₄×C₇	—	2	2	no	—
236	C₂²×C₄×C₇	—	2	4	no	—
237	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
238	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
239	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
240	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
241	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
242	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
243	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
244	C₇×Q₁₆	—	2	4	no	—
245	C₇×Q₁₆	—	2	4	no	—
246	C₇×M₁₆	—	2	2	no	—
247	C₇×M₁₆	—	2	2	no	—
248	C₇×M₁₆	—	2	4	no	—
249	C₂×C₇×C₈	—	2	2	no	—
250	C₂×C₇×C₈	—	2	2	no	—
251	C₂×C₇×C₈	—	2	2	no	—
252	C₂×C₇×C₈	—	2	2	no	—
253	C₂×C₇×C₈	—	2	2	no	—
254	C₂×C₇×C₈	—	2	4	no	—
255	C₂×C₇×C₈	#41	1	4	yes	—
256	C₂×C₇×C₈	C₂⁴	1	2	yes	—
257	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
258	C₂×C₇×C₈	C₂⁴	1	2	yes	—
259	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
260	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
261	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
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	2	no	—
266	C₇×C₄⋊C₄	—	2	2	no	—
267	C₇×C₄⋊C₄	—	2	4	no	—
268	C₇×C₄⋊C₄	—	2	4	no	—
269	C₇×C₄⋊C₄	—	2	4	no	—
270	C₇×C₄⋊C₄	—	2	4	no	—
271	C₇×C₄⋊C₄	—	2	4	no	—
272	C₇×C₄⋊C₄	—	2	4	no	—
273	C₇×C₄⋊C₄	—	2	4	no	—
274	C₇×C₄⋊C₄	—	2	4	no	—
275	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
276	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
277	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
278	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
279	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
280	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
281	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
282	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
283	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
284	C₇×C₂²⋊C₄	—	2	2	no	—
285	C₇×C₂²⋊C₄	—	2	2	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	2	yes	—
295	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
296	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
297	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
298	C₄²×C₇	—	2	2	no	—
299	C₄²×C₇	—	2	2	no	—
300	C₄²×C₇	—	2	2	no	—
301	C₄²×C₇	—	2	2	no	—
302	C₄²×C₇	—	2	4	no	—
303	C₄²×C₇	—	2	4	no	—
304	C₄²×C₇	—	2	4	no	—
305	C₄²×C₇	C₂⁴	1	2	yes	—
306	C₂²×Q₁₆	C₂²×C₇	1	1	yes	characteristic
307	C₂×#131	C₂²×C₇	1	1	yes	characteristic
308	C₂³×C₈	C₂²×C₇	1	1	yes	characteristic
309	#556	C₂²×C₇	1	4	yes	—
310	#554	C₂²×C₇	1	4	yes	—
311	#552	—	2	4	no	—
312	#552	C₂²×C₇	1	4	yes	—
313	#552	C₂²×C₇	1	4	yes	—
314	#551	—	2	4	no	—
315	#544	C₂²×C₇	1	2	yes	—
316	#542	—	2	2	no	—
317	#541	—	2	2	no	—
318	#536	C₂²×C₇	1	2	yes	—
319	#533	—	2	2	no	—
320	#529	—	2	2	no	—
321	#525	C₂²×C₇	1	1	yes	characteristic
322	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
323	#520	C₂²×C₇	1	2	yes	—
324	#519	C₂²×C₇	1	2	yes	—
325	C₂×#117	C₂²×C₇	1	2	yes	—
326	#501	C₂²×C₇	1	4	yes	complemented
327	#500	C₂²×C₇	1	2	yes	complemented
328	#499	C₂²×C₇	1	2	yes	complemented
329	#485	C₂²×C₇	1	4	yes	—
330	#485	C₂²×C₇	1	4	yes	—
331	#485	C₂²×C₇	1	4	yes	complemented
332	#485	C₂²×C₇	1	4	yes	complemented
333	#484	C₂²×C₇	1	4	yes	—
334	#484	C₂²×C₇	1	4	yes	complemented
335	#483	C₂²×C₇	1	4	yes	—
336	#483	C₂²×C₇	1	4	yes	complemented
337	#479	C₂²×C₇	1	4	yes	complemented
338	#479	C₂²×C₇	1	4	yes	complemented
339	#477	C₂²×C₇	1	4	yes	complemented
340	#475	C₂²×C₇	1	4	yes	complemented
341	#470	C₂²×C₇	1	4	yes	complemented
342	#467	C₂²×C₇	1	2	yes	—
343	#467	C₂²×C₇	1	2	yes	—
344	#467	C₂²×C₇	1	2	yes	—
345	#467	C₂²×C₇	1	2	yes	—
346	#467	C₂²×C₇	1	2	yes	complemented
347	#467	C₂²×C₇	1	2	yes	complemented
348	#441	C₂²×C₇	1	4	yes	complemented
349	C₄×Q₁₆	C₂²×C₇	1	2	yes	complemented
350	C₄×Q₁₆	C₂²×C₇	1	2	yes	complemented
351	#435	C₂²×C₇	1	2	yes	—
352	#435	C₂²×C₇	1	2	yes	—
353	C₈×D₄	C₂²×C₇	1	2	yes	—
354	C₈×D₄	C₂²×C₇	1	2	yes	—
355	#428	C₂²×C₇	1	2	yes	—
356	#428	C₂²×C₇	1	2	yes	—
357	#428	C₂²×C₇	1	4	yes	complemented
358	#427	C₂²×C₇	1	1	yes	characteristic
359	#427	C₂²×C₇	1	2	yes	—
360	#427	C₂²×C₇	1	1	yes	characteristic
361	#427	C₂²×C₇	1	2	yes	—
362	#427	C₂²×C₇	1	1	yes	characteristic
363	#427	C₂²×C₇	1	1	yes	characteristic
364	#427	C₂²×C₇	1	2	yes	complemented
365	C₂×#107	C₂²×C₇	1	1	yes	characteristic
366	C₂×#107	C₂²×C₇	1	1	yes	characteristic
367	C₂×#107	C₂²×C₇	1	1	yes	characteristic
368	C₂×#107	C₂²×C₇	1	2	yes	complemented
369	C₂×#106	C₂²×C₇	1	2	yes	—
370	#424	C₂²×C₇	1	1	yes	characteristic
371	#419	C₂²×C₇	1	2	yes	—
372	#419	C₂²×C₇	1	2	yes	—
373	C₂×#103	C₂²×C₇	1	2	yes	—
374	#408	C₂²×C₇	1	1	yes	characteristic
375	#407	C₂²×C₇	1	1	yes	characteristic
376	#405	C₂²×C₇	1	1	yes	characteristic
377	C₂³×C₇	—	2	2	no	—
378	C₂³×C₇	—	2	2	no	—
379	C₂³×C₇	—	4	1	no	—
380	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
381	C₂³×C₇	C₂²×D₄	1	2	yes	—
382	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
383	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
384	C₇×Q₈	—	2	2	no	—
385	C₇×Q₈	—	2	4	no	—
386	C₇×Q₈	—	2	4	no	—
387	C₇×Q₈	—	4	4	no	—
388	C₇×Q₈	—	8	4	no	—
389	C₇×D₄	—	2	4	no	—
390	C₇×D₄	—	2	4	no	—
391	C₇×D₄	—	2	2	no	—
392	C₇×D₄	—	4	2	no	—
393	C₂×C₄×C₇	—	2	2	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	1	no	—
398	C₂×C₄×C₇	—	2	2	no	—
399	C₂×C₄×C₇	—	2	1	no	—
400	C₂×C₄×C₇	—	2	1	no	—
401	C₂×C₄×C₇	—	2	2	no	—
402	C₂×C₄×C₇	—	2	2	no	—
403	C₂×C₄×C₇	—	2	2	no	—
404	C₂×C₄×C₇	—	2	2	no	—
405	C₂×C₄×C₇	—	2	4	no	—
406	C₂×C₄×C₇	—	2	2	no	—
407	C₂×C₄×C₇	—	2	4	no	—
408	C₂×C₄×C₇	—	4	4	no	—
409	C₂×C₄×C₇	—	4	4	no	—
410	C₂×C₄×C₇	—	8	4	no	—
411	C₂×C₄×C₇	—	8	2	no	—
412	C₂×C₄×C₇	—	8	2	no	—
413	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
414	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
415	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
416	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
417	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
418	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
419	C₂×C₄×C₇	C₂×#41	1	2	yes	—
420	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
421	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
422	C₇×C₈	—	2	1	no	—
423	C₇×C₈	—	2	1	no	—
424	C₇×C₈	—	2	2	no	—
425	C₇×C₈	—	2	2	no	—
426	C₇×C₈	C₂×#41	1	2	yes	—
427	C₇×C₈	C₂×#41	1	2	yes	—
428	C₂×#41	C₂³×C₇	1	1	yes	characteristic
429	C₂²×Q₈	C₂³×C₇	1	2	yes	—
430	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
431	C₂×Q₁₆	—	2	4	no	—
432	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
433	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
434	#131	—	2	4	no	—
435	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
436	C₂×M₁₆	C₂³×C₇	1	2	yes	—
437	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
438	C₂²×C₈	—	2	4	no	—
439	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
440	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
441	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
442	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
443	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
444	C₂²×C₈	C₂³×C₇	1	2	yes	—
445	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
446	C₄⋊Q₈	—	2	2	no	—
447	C₄⋊Q₈	—	2	2	no	—
448	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
449	#126	—	2	4	no	—
450	#126	—	2	4	no	—
451	#126	—	2	4	no	—
452	#126	—	2	4	no	—
453	#125	—	2	2	no	—
454	#125	—	2	4	no	—
455	#125	—	2	4	no	—
456	#125	—	2	4	no	—
457	#125	C₂³×C₇	1	4	yes	—
458	#124	—	2	2	no	—
459	#124	—	2	4	no	—
460	#123	—	2	4	no	—
461	#123	—	2	4	no	—
462	#123	—	2	4	no	—
463	#123	C₇×D₄	1	2	yes	—
464	C₂²⋊Q₈	—	2	2	no	—
465	C₂²⋊Q₈	—	2	2	no	—
466	C₂²⋊Q₈	—	2	4	no	—
467	C₂²⋊Q₈	—	2	4	no	—
468	C₂²⋊Q₈	—	2	4	no	—
469	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
470	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
471	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
472	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
473	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
474	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
475	#121	C₇×D₄	1	1	yes	characteristic
476	#121	C₇×D₄	1	1	yes	characteristic
477	#120	C₇×D₄	1	2	yes	—
478	C₄×Q₈	—	2	2	no	—
479	C₄×Q₈	—	2	2	no	—
480	C₄×Q₈	—	2	2	no	—
481	C₄×Q₈	—	2	4	no	—
482	C₄×Q₈	C₂³×C₇	1	4	yes	—
483	C₄×Q₈	C₂³×C₇	1	4	yes	—
484	C₄×D₄	—	2	2	no	—
485	C₄×D₄	—	2	4	no	—
486	C₄×D₄	—	2	4	no	—
487	C₄×D₄	C₂³×C₇	1	2	yes	—
488	C₄×D₄	C₂³×C₇	1	2	yes	—
489	#117	—	2	2	no	—
490	#117	—	2	2	no	—
491	#117	—	2	4	no	—
492	#117	—	2	4	no	—
493	#117	—	2	4	no	—
494	#117	C₂³×C₇	1	2	yes	—
495	#117	C₂³×C₇	1	2	yes	—
496	#117	C₂³×C₇	1	2	yes	—
497	#117	C₂³×C₇	1	2	yes	—
498	#117	C₂³×C₇	1	4	yes	—
499	#117	C₂³×C₇	1	1	yes	characteristic
500	C₂×C₄⋊C₄	—	2	2	no	—
501	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
502	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
503	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
504	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
505	C₂×C₂²⋊C₄	—	2	2	no	—
506	C₂×C₂²⋊C₄	—	2	2	no	—
507	C₂×C₄²	—	2	2	no	—
508	#107	C₂³×C₇	1	1	yes	characteristic
509	#107	C₂³×C₇	1	2	yes	—
510	#107	C₂³×C₇	1	1	yes	characteristic
511	#107	C₂³×C₇	1	1	yes	characteristic
512	#107	C₂³×C₇	1	1	yes	characteristic
513	#107	C₂³×C₇	1	2	yes	—
514	#107	C₂³×C₇	1	2	yes	—
515	#107	C₂³×C₇	1	2	yes	—
516	#107	C₂³×C₇	1	4	yes	—
517	#107	C₂³×C₇	1	4	yes	—
518	#106	C₂³×C₇	1	2	yes	—
519	#106	C₂³×C₇	1	2	yes	—
520	#106	C₂³×C₇	1	2	yes	—
521	#106	C₂³×C₇	1	2	yes	—
522	#106	C₂³×C₇	1	4	yes	—
523	#106	C₂³×C₇	1	4	yes	—
524	C₄⋊C₈	C₂³×C₇	1	2	yes	—
525	C₄⋊C₈	C₂³×C₇	1	2	yes	—
526	#103	C₂³×C₇	1	4	yes	—
527	#103	C₂³×C₇	1	4	yes	—
528	#103	C₂³×C₇	1	4	yes	—
529	#103	C₂³×C₇	1	4	yes	—
530	#103	C₂³×C₇	1	4	yes	—
531	#103	C₂³×C₇	1	4	yes	—
532	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
533	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
534	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
535	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
536	#97	C₂³×C₇	1	2	yes	—
537	C₄×C₈	C₂³×C₇	1	2	yes	—
538	C₂²×C₇	—	2	1	no	—
539	C₂²×C₇	—	2	1	no	—
540	C₂²×C₇	—	2	1	no	—
541	C₂²×C₇	—	2	1	no	—
542	C₂²×C₇	—	2	2	no	—
543	C₂²×C₇	—	2	1	no	—
544	C₂²×C₇	—	2	1	no	—
545	C₂²×C₇	—	2	2	no	—
546	C₂²×C₇	—	2	2	no	—
547	C₂²×C₇	—	2	1	no	—
548	C₂²×C₇	—	4	4	no	—
549	C₂²×C₇	#547	1	2	yes	—
550	C₂²×C₇	#578	1	2	yes	—
551	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
552	C₄×C₇	—	2	2	no	—
553	C₄×C₇	—	2	1	no	—
554	C₄×C₇	—	2	1	no	—
555	C₄×C₇	—	2	2	no	—
556	C₄×C₇	—	2	2	no	—
557	C₄×C₇	—	4	2	no	—
558	C₄×C₇	—	4	4	no	—
559	C₄×C₇	—	4	2	no	—
560	C₄×C₇	—	4	4	no	—
561	C₄×C₇	—	4	2	no	—
562	C₄×C₇	—	4	2	no	—
563	C₄×C₇	#547	1	2	yes	—
564	C₄×C₇	C₂²×#41	1	1	yes	characteristic
565	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
566	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
567	#41	—	2	2	no	—
568	#41	—	2	2	no	—
569	C₂×Q₈	—	2	2	no	—
570	C₂×Q₈	—	2	4	no	—
571	C₂×Q₈	—	2	4	no	—
572	C₂×Q₈	—	2	4	no	—
573	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
574	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
575	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
576	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
577	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
578	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
579	C₂²×C₄	—	2	2	no	—
580	C₂²×C₄	—	2	2	no	—
581	C₂²×C₄	—	2	2	no	—
582	C₂²×C₄	—	2	2	no	—
583	C₂²×C₄	—	2	2	no	—
584	C₂²×C₄	—	2	2	no	—
585	C₂²×C₄	—	2	4	no	—
586	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
587	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
588	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
589	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
590	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
591	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
592	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
593	Q₁₆	—	2	4	no	—
594	Q₁₆	—	2	4	no	—
595	M₁₆	—	2	2	no	—
596	M₁₆	—	2	2	no	—
597	M₁₆	—	2	4	no	—
598	C₂×C₈	—	2	2	no	—
599	C₂×C₈	—	2	2	no	—
600	C₂×C₈	—	2	2	no	—
601	C₂×C₈	—	2	2	no	—
602	C₂×C₈	—	2	2	no	—
603	C₂×C₈	—	2	4	no	—
604	C₂×C₈	C₇×#41	1	4	yes	—
605	C₂×C₈	C₂⁴×C₇	1	2	yes	—
606	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
607	C₂×C₈	C₂⁴×C₇	1	2	yes	—
608	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
609	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
610	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
611	C₄⋊C₄	—	2	4	no	—
612	C₄⋊C₄	—	2	4	no	—
613	C₄⋊C₄	—	2	2	no	—
614	C₄⋊C₄	—	2	2	no	—
615	C₄⋊C₄	—	2	2	no	—
616	C₄⋊C₄	—	2	4	no	—
617	C₄⋊C₄	—	2	4	no	—
618	C₄⋊C₄	—	2	4	no	—
619	C₄⋊C₄	—	2	4	no	—
620	C₄⋊C₄	—	2	4	no	—
621	C₄⋊C₄	—	2	4	no	—
622	C₄⋊C₄	—	2	4	no	—
623	C₄⋊C₄	—	2	4	no	—
624	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
625	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
626	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
627	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
628	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
629	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
630	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
631	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
632	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
633	C₂²⋊C₄	—	2	2	no	—
634	C₂²⋊C₄	—	2	2	no	—
635	C₂²⋊C₄	—	2	2	no	—
636	C₂²⋊C₄	—	2	2	no	—
637	C₂²⋊C₄	—	2	4	no	—
638	C₂²⋊C₄	—	2	4	no	—
639	C₂²⋊C₄	—	2	4	no	—
640	C₂²⋊C₄	—	2	4	no	—
641	C₂²⋊C₄	—	2	4	no	—
642	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
643	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
644	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
645	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
646	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
647	C₄²	—	2	2	no	—
648	C₄²	—	2	2	no	—
649	C₄²	—	2	2	no	—
650	C₄²	—	2	2	no	—
651	C₄²	—	2	4	no	—
652	C₄²	—	2	4	no	—
653	C₄²	—	2	4	no	—
654	C₄²	C₂⁴×C₇	1	2	yes	—
655	C₂×C₇	—	2	2	no	—
656	C₂×C₇	—	2	2	no	—
657	C₂×C₇	—	4	2	no	—
658	C₂×C₇	—	4	1	no	—
659	C₂×C₇	C₂×#547	1	1	yes	characteristic
660	C₂×C₇	C₂×#578	1	1	yes	characteristic
661	C₂×C₇	#3584	1	1	yes	characteristic
662	C₂³	—	2	2	no	—
663	C₂³	—	2	2	no	—
664	C₂³	—	4	1	no	—
665	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
666	C₂³	C₂²×C₇×D₄	1	2	yes	—
667	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
668	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
669	Q₈	—	2	2	no	—
670	Q₈	—	2	4	no	—
671	Q₈	—	2	4	no	—
672	Q₈	—	4	4	no	—
673	Q₈	—	8	4	no	—
674	D₄	—	2	4	no	—
675	D₄	—	2	4	no	—
676	D₄	—	2	2	no	—
677	D₄	—	4	2	no	—
678	C₂×C₄	—	2	2	no	—
679	C₂×C₄	—	2	1	no	—
680	C₂×C₄	—	2	1	no	—
681	C₂×C₄	—	2	2	no	—
682	C₂×C₄	—	2	1	no	—
683	C₂×C₄	—	2	1	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	2	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	4	no	—
691	C₂×C₄	—	2	2	no	—
692	C₂×C₄	—	2	4	no	—
693	C₂×C₄	—	4	4	no	—
694	C₂×C₄	—	4	4	no	—
695	C₂×C₄	—	8	4	no	—
696	C₂×C₄	—	8	2	no	—
697	C₂×C₄	—	8	2	no	—
698	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
699	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
700	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
701	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
702	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
703	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
704	C₂×C₄	C₂×C₇×#41	1	2	yes	—
705	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
706	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
707	C₈	—	2	1	no	—
708	C₈	—	2	1	no	—
709	C₈	—	2	2	no	—
710	C₈	—	2	2	no	—
711	C₈	C₂×C₇×#41	1	2	yes	—
712	C₈	C₂×C₇×#41	1	2	yes	—
713	C₇	#61264	1	1	yes	characteristic, direct product factor, Sylow
714	C₂²	—	2	1	no	—
715	C₂²	—	2	1	no	—
716	C₂²	—	2	1	no	—
717	C₂²	—	2	1	no	—
718	C₂²	—	2	2	no	—
719	C₂²	—	2	1	no	—
720	C₂²	—	2	2	no	—
721	C₂²	—	2	1	no	—
722	C₂²	—	2	1	no	—
723	C₂²	—	2	2	no	—
724	C₂²	—	4	4	no	—
725	C₂²	C₇×#547	1	2	yes	—
726	C₂²	C₇×#578	1	2	yes	—
727	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
728	C₄	—	2	2	no	—
729	C₄	—	2	2	no	—
730	C₄	—	2	1	no	—
731	C₄	—	2	1	no	—
732	C₄	—	2	2	no	—
733	C₄	—	4	2	no	—
734	C₄	—	4	2	no	—
735	C₄	—	4	2	no	—
736	C₄	—	4	4	no	—
737	C₄	—	4	2	no	—
738	C₄	—	4	4	no	—
739	C₄	C₇×#547	1	2	yes	—
740	C₄	C₂²×C₇×#41	1	1	yes	characteristic
741	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
742	C₂	—	2	2	no	—
743	C₂	—	2	2	no	—
744	C₂	—	4	1	no	—
745	C₂	—	4	2	no	—
746	C₂	C₂×C₇×#547	1	1	yes	characteristic
747	C₂	C₂×C₇×#578	1	1	yes	characteristic
748	C₂	C₇×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
prime radical	C₇×#525	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₇×#525 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₇×#3349	C₂	semidirect
3. C₇×#3344	C₂	semidirect
4. C₇×#3342	C₂	semidirect
5. C₇×#3338	C₂	semidirect
6. C₇×#3336	C₂	semidirect
7. C₇×#3336	C₂	semidirect
8. C₇×#3164	C₂	semidirect
9. C₇×#3097	C₂	semidirect
10. C₇×#3095	C₂	semidirect
11. C₇×#3082	C₂	semidirect
12. C₇×#3059	C₂	semidirect
13. C₂×C₇×#467	C₂	semidirect
14. C₇×#2950	C₂	semidirect
16. C₇×#2913	C₂	semidirect
17. C₂×C₇×#427	C₂	semidirect
38. C₇×#501	C₂²	semidirect
39. C₇×#500	C₂²	semidirect
40. C₇×#499	C₂²	semidirect
43. C₇×#485	C₂²	semidirect
44. C₇×#485	C₂²	semidirect
46. C₇×#484	C₂²	semidirect
48. C₇×#483	C₂²	semidirect
49. C₇×#479	C₂²	semidirect
50. C₇×#479	C₂²	semidirect
51. C₇×#477	C₂²	semidirect
52. C₇×#475	C₂²	semidirect
53. C₇×#470	C₂²	semidirect
58. C₇×#467	C₂²	semidirect
59. C₇×#467	C₂²	semidirect
60. C₇×#441	C₂²	semidirect
61. C₄×C₇×Q₁₆	C₂²	semidirect
62. C₄×C₇×Q₁₆	C₂²	semidirect
69. C₇×#428	C₂²	semidirect
76. C₇×#427	C₂²	semidirect
80. C₂×C₇×#107	C₂²	semidirect
89. #61264	C₇	direct (N × H)
201. #3349	C₂×C₇	semidirect
202. #3344	C₂×C₇	semidirect
203. #3342	C₂×C₇	semidirect
204. #3338	C₂×C₇	semidirect
205. #3336	C₂×C₇	semidirect
206. #3336	C₂×C₇	semidirect
207. #3164	C₂×C₇	semidirect
208. #3097	C₂×C₇	semidirect
209. #3095	C₂×C₇	semidirect
210. #3082	C₂×C₇	semidirect
211. #3059	C₂×C₇	semidirect
212. C₂×#467	C₂×C₇	semidirect
213. #2950	C₂×C₇	semidirect
215. #2913	C₂×C₇	semidirect
216. C₂×#427	C₂×C₇	semidirect
326. #501	C₂²×C₇	semidirect
327. #500	C₂²×C₇	semidirect
328. #499	C₂²×C₇	semidirect
331. #485	C₂²×C₇	semidirect
332. #485	C₂²×C₇	semidirect
334. #484	C₂²×C₇	semidirect
336. #483	C₂²×C₇	semidirect
337. #479	C₂²×C₇	semidirect
338. #479	C₂²×C₇	semidirect
339. #477	C₂²×C₇	semidirect
340. #475	C₂²×C₇	semidirect
341. #470	C₂²×C₇	semidirect
346. #467	C₂²×C₇	semidirect
347. #467	C₂²×C₇	semidirect
348. #441	C₂²×C₇	semidirect
349. C₄×Q₁₆	C₂²×C₇	semidirect
350. C₄×Q₁₆	C₂²×C₇	semidirect
357. #428	C₂²×C₇	semidirect
364. #427	C₂²×C₇	semidirect
368. C₂×#107	C₂²×C₇	semidirect
713. C₇	#61264	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×#3495	2
C₇×#3349	2
C₇×#3344	2
C₇×#3342	2
C₇×#3338	2
C₇×#3336	2
C₇×#3164	2
C₇×#3097	2
C₇×#3095	2
C₇×#3082	2
C₇×#3059	2
C₂×C₇×#467	2
C₇×#2950	2
C₇×#2929	2
C₇×#2913	2
C₂×C₇×#427	2
#61264	7

Subgroups — C7×#61264 #13238480

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61264 #13238480