Subgroups — C₇×#21457 #13198673

Order 1792.

1468 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄×C₇×#41	C₂	1	1	yes	maximal, characteristic
2	C₂×C₇×#452	C₂	1	1	yes	maximal, characteristic
3	C₂×C₇×#441	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₇×#440	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄×C₇×C₂²⋊Q₈	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×#1873	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#1864	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#1863	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#1854	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#1788	C₂	1	1	yes	maximal, characteristic
13	C₇×#1763	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#1762	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#1749	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	C₄×C₇×#41	—	2	4	no	—
21	C₄×C₇×#41	—	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×C₄²×C₇	—	2	1	no	—
32	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
33	C₇×#452	C₄	1	8	yes	complemented
34	C₇×#441	—	2	4	no	—
35	C₇×#440	—	2	4	no	—
36	C₂×C₇×#107	C₂²	1	1	yes	characteristic
37	C₂×C₇×#106	C₂²	1	1	yes	characteristic
38	C₂×C₇×#103	C₂²	1	1	yes	characteristic
39	C₂×C₇×#103	C₂²	1	1	yes	characteristic
40	C₂×C₇×#103	C₂²	1	1	yes	characteristic
41	C₂×C₇×#103	C₂²	1	1	yes	characteristic
42	C₂×C₇×#103	C₂²	1	1	yes	characteristic
43	C₂×C₇×#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×C₇×#97	C₂²	1	1	yes	characteristic
50	C₇×#391	C₂²	1	1	yes	characteristic
51	C₇×#389	C₂²	1	1	yes	characteristic
52	C₇×#387	—	2	1	no	—
53	C₇×#385	—	2	1	no	—
54	C₇×#380	C₂²	1	1	yes	characteristic
55	C₄×C₇×C₄⋊C₄	—	2	1	no	—
56	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
57	C₄×C₇×C₂²⋊C₄	—	2	1	no	—
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	#21457	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	D₄	1	1	yes	characteristic
79	C₂³×C₄×C₇	D₄	1	1	yes	characteristic
80	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
81	C₂×C₇×Q₁₆	—	2	2	no	—
82	C₂×C₇×Q₁₆	—	2	2	no	—
83	C₂×C₇×Q₁₆	C₂×C₄	1	4	yes	complemented
84	C₂×C₇×SD₁₆	—	2	2	no	—
85	C₂×C₇×SD₁₆	—	2	2	no	—
86	C₂×C₇×SD₁₆	C₂×C₄	1	4	yes	complemented
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	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
91	C₇×C₂²⋊Q₈	—	2	2	no	—
92	C₇×C₂²⋊Q₈	C₂×C₄	1	4	yes	complemented
93	C₄×C₇×Q₈	—	2	2	no	—
94	C₄×C₇×Q₈	—	2	2	no	—
95	C₄×C₇×Q₈	—	2	2	no	—
96	C₄×C₇×Q₈	—	2	2	no	—
97	C₄×C₇×Q₈	—	2	2	no	—
98	C₄×C₇×Q₈	D₄	1	4	yes	—
99	C₄×C₇×D₄	—	2	8	no	—
100	C₄×C₇×D₄	—	2	8	no	—
101	C₄×C₇×D₄	—	2	2	no	—
102	C₄×C₇×D₄	—	2	2	no	—
103	C₄×C₇×D₄	—	2	2	no	—
104	C₄×C₇×D₄	D₄	1	4	yes	—
105	C₇×#117	—	2	8	no	—
106	C₇×#117	—	2	2	no	—
107	C₇×#117	—	2	2	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	1	no	—
113	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
114	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
115	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
116	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
117	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
118	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
119	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
120	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
121	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
122	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
123	C₂×C₄²×C₇	—	2	8	no	—
124	C₂×C₄²×C₇	—	2	1	no	—
125	C₂×C₄²×C₇	—	2	1	no	—
126	C₂×C₄²×C₇	—	2	1	no	—
127	C₂×C₄²×C₇	—	2	2	no	—
128	C₂×C₄²×C₇	—	2	2	no	—
129	C₂×C₄²×C₇	—	2	1	no	—
130	C₂×C₄²×C₇	—	2	1	no	—
131	C₂×C₄²×C₇	D₄	1	1	yes	characteristic
132	C₂×C₄²×C₇	D₄	1	1	yes	characteristic
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×#106	—	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	C₇×#97	—	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×C₄×#41	C₂×C₇	1	1	yes	characteristic
155	C₂×#452	C₂×C₇	1	1	yes	characteristic
156	C₂×#441	C₂×C₇	1	1	yes	characteristic, complemented
157	C₂×#440	C₂×C₇	1	1	yes	characteristic, complemented
158	C₄×C₂²⋊Q₈	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	#1873	C₂×C₇	1	1	yes	characteristic, complemented
162	#1864	C₂×C₇	1	1	yes	characteristic, complemented
163	#1863	C₂×C₇	1	1	yes	characteristic, complemented
164	#1854	C₂×C₇	1	1	yes	characteristic, complemented
165	#1788	C₂×C₇	1	1	yes	characteristic
166	#1763	C₂×C₇	1	1	yes	characteristic, complemented
167	#1762	C₂×C₇	1	1	yes	characteristic, complemented
168	#1749	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	4	no	—
205	C₂²×C₄×C₇	—	2	1	no	—
206	C₂²×C₄×C₇	—	2	1	no	—
207	C₂²×C₄×C₇	—	2	1	no	—
208	C₂²×C₄×C₇	—	2	1	no	—
209	C₂²×C₄×C₇	—	2	2	no	—
210	C₂²×C₄×C₇	—	2	2	no	—
211	C₂²×C₄×C₇	—	2	4	no	—
212	C₂²×C₄×C₇	—	2	2	no	—
213	C₂²×C₄×C₇	—	2	1	no	—
214	C₂²×C₄×C₇	—	2	1	no	—
215	C₂²×C₄×C₇	—	4	1	no	—
216	C₂²×C₄×C₇	—	4	1	no	—
217	C₂²×C₄×C₇	—	4	1	no	—
218	C₂²×C₄×C₇	—	4	2	no	—
219	C₂²×C₄×C₇	—	4	2	no	—
220	C₂²×C₄×C₇	—	4	2	no	—
221	C₂²×C₄×C₇	—	4	2	no	—
222	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
223	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
224	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
225	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
226	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
227	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
228	C₂²×C₄×C₇	#41	1	2	yes	—
229	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
230	C₇×Q₁₆	—	2	8	no	—
231	C₇×SD₁₆	—	2	8	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	—	2	1	no	—
240	C₂×C₇×C₈	—	2	1	no	—
241	C₂×C₇×C₈	—	2	1	no	—
242	C₂×C₇×C₈	C₂²×C₄	1	2	yes	—
243	C₂×C₇×C₈	C₂²×C₄	1	2	yes	—
244	C₇×C₄⋊C₄	—	2	4	no	—
245	C₇×C₄⋊C₄	—	2	4	no	—
246	C₇×C₄⋊C₄	—	2	4	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	—	4	2	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	4	no	—
263	C₇×C₂²⋊C₄	—	4	2	no	—
264	C₄²×C₇	—	2	4	no	—
265	C₄²×C₇	—	2	4	no	—
266	C₄²×C₇	—	2	2	no	—
267	C₄²×C₇	—	2	4	no	—
268	C₄²×C₇	—	2	2	no	—
269	C₄²×C₇	—	2	1	no	—
270	C₄²×C₇	—	2	1	no	—
271	C₄²×C₇	—	4	2	no	—
272	C₄²×C₇	—	4	2	no	—
273	C₄²×C₇	C₂×D₄	1	2	yes	—
274	C₄²×C₇	C₂×D₄	1	2	yes	—
275	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
276	C₂²×Q₁₆	C₂²×C₇	1	1	yes	characteristic
277	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
278	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
279	C₄×#41	—	2	4	no	—
280	C₄×#41	—	2	4	no	—
281	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
282	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
283	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
284	C₂×C₄×D₄	—	2	1	no	—
285	C₂×C₄×D₄	—	2	1	no	—
286	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
287	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
288	C₂×#117	—	2	1	no	—
289	C₂×#117	C₂²×C₇	1	1	yes	characteristic
290	C₂²×C₄²	—	2	1	no	—
291	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
292	#452	C₄×C₇	1	8	yes	complemented
293	#441	—	2	4	no	—
294	#440	—	2	4	no	—
295	C₂×#107	C₂²×C₇	1	1	yes	characteristic
296	C₂×#106	C₂²×C₇	1	1	yes	characteristic
297	C₂×#103	C₂²×C₇	1	1	yes	characteristic
298	C₂×#103	C₂²×C₇	1	1	yes	characteristic
299	C₂×#103	C₂²×C₇	1	1	yes	characteristic
300	C₂×#103	C₂²×C₇	1	1	yes	characteristic
301	C₂×#103	C₂²×C₇	1	1	yes	characteristic
302	C₂×#102	C₂²×C₇	1	1	yes	characteristic
303	C₂×#102	C₂²×C₇	1	1	yes	characteristic
304	C₂×#102	C₂²×C₇	1	1	yes	characteristic
305	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic
306	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic
307	C₂×#97	C₂²×C₇	1	1	yes	characteristic
308	C₂×#97	C₂²×C₇	1	1	yes	characteristic
309	#391	C₂²×C₇	1	1	yes	characteristic
310	#389	C₂²×C₇	1	1	yes	characteristic
311	#387	—	2	1	no	—
312	#385	—	2	1	no	—
313	#380	C₂²×C₇	1	1	yes	characteristic
314	C₄×C₄⋊C₄	—	2	1	no	—
315	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
316	C₄×C₂²⋊C₄	—	2	1	no	—
317	#340	C₂²×C₇	1	1	yes	characteristic
318	#340	C₂²×C₇	1	1	yes	characteristic
319	#340	C₂²×C₇	1	1	yes	characteristic
320	#340	C₂²×C₇	1	1	yes	characteristic
321	#336	C₂²×C₇	1	1	yes	characteristic
322	#336	C₂²×C₇	1	1	yes	characteristic
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	2	no	—
328	C₂³×C₇	—	2	1	no	—
329	C₂³×C₇	—	2	1	no	—
330	C₂³×C₇	—	2	1	no	—
331	C₂³×C₇	—	2	1	no	—
332	C₂³×C₇	—	4	1	no	—
333	C₂³×C₇	—	4	1	no	—
334	C₂³×C₇	—	4	1	no	—
335	C₂³×C₇	—	4	1	no	—
336	C₂³×C₇	C₄×D₄	1	2	yes	—
337	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
338	C₇×Q₈	—	2	2	no	—
339	C₇×Q₈	—	2	2	no	—
340	C₇×Q₈	—	2	2	no	—
341	C₇×Q₈	—	2	2	no	—
342	C₇×Q₈	—	2	2	no	—
343	C₇×Q₈	—	4	1	no	—
344	C₇×Q₈	—	4	1	no	—
345	C₇×Q₈	C₄×D₄	1	4	yes	—
346	C₇×D₄	—	2	16	no	—
347	C₇×D₄	—	2	2	no	—
348	C₇×D₄	—	2	2	no	—
349	C₇×D₄	—	2	2	no	—
350	C₇×D₄	C₄×D₄	1	4	yes	—
351	C₂×C₄×C₇	—	2	16	no	—
352	C₂×C₄×C₇	—	2	2	no	—
353	C₂×C₄×C₇	—	2	1	no	—
354	C₂×C₄×C₇	—	2	1	no	—
355	C₂×C₄×C₇	—	2	2	no	—
356	C₂×C₄×C₇	—	2	1	no	—
357	C₂×C₄×C₇	—	2	2	no	—
358	C₂×C₄×C₇	—	2	1	no	—
359	C₂×C₄×C₇	—	2	1	no	—
360	C₂×C₄×C₇	—	2	1	no	—
361	C₂×C₄×C₇	—	2	1	no	—
362	C₂×C₄×C₇	—	2	1	no	—
363	C₂×C₄×C₇	—	2	2	no	—
364	C₂×C₄×C₇	—	2	2	no	—
365	C₂×C₄×C₇	—	2	2	no	—
366	C₂×C₄×C₇	—	2	2	no	—
367	C₂×C₄×C₇	—	2	2	no	—
368	C₂×C₄×C₇	—	2	2	no	—
369	C₂×C₄×C₇	—	2	1	no	—
370	C₂×C₄×C₇	—	2	2	no	—
371	C₂×C₄×C₇	—	2	2	no	—
372	C₂×C₄×C₇	—	2	1	no	—
373	C₂×C₄×C₇	—	2	1	no	—
374	C₂×C₄×C₇	—	4	4	no	—
375	C₂×C₄×C₇	—	4	4	no	—
376	C₂×C₄×C₇	—	4	8	no	—
377	C₂×C₄×C₇	—	4	8	no	—
378	C₂×C₄×C₇	—	4	1	no	—
379	C₂×C₄×C₇	—	4	1	no	—
380	C₂×C₄×C₇	—	4	1	no	—
381	C₂×C₄×C₇	—	4	1	no	—
382	C₂×C₄×C₇	—	4	1	no	—
383	C₂×C₄×C₇	—	4	1	no	—
384	C₂×C₄×C₇	—	4	1	no	—
385	C₂×C₄×C₇	—	4	1	no	—
386	C₂×C₄×C₇	—	4	1	no	—
387	C₂×C₄×C₇	—	4	1	no	—
388	C₂×C₄×C₇	—	4	1	no	—
389	C₂×C₄×C₇	—	4	1	no	—
390	C₂×C₄×C₇	—	4	1	no	—
391	C₂×C₄×C₇	—	4	1	no	—
392	C₂×C₄×C₇	C₄×D₄	1	2	yes	—
393	C₂×C₄×C₇	#120	1	2	yes	—
394	C₂×C₄×C₇	#120	1	2	yes	—
395	C₂×C₄×C₇	#137	1	2	yes	—
396	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
397	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
398	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
399	C₂×C₄×C₇	C₂×#41	1	1	yes	characteristic
400	C₂×C₄×C₇	C₂×#41	1	1	yes	characteristic
401	C₂×C₄×C₇	C₂×#41	1	1	yes	characteristic
402	C₇×C₈	—	2	2	no	—
403	C₇×C₈	—	2	2	no	—
404	C₇×C₈	—	4	1	no	—
405	C₇×C₈	—	4	1	no	—
406	C₂×#41	—	2	2	no	—
407	C₂×#41	—	2	2	no	—
408	C₂×#41	—	2	2	no	—
409	C₂×#41	—	2	2	no	—
410	C₂×#41	—	2	2	no	—
411	C₂×#41	C₂×C₄×C₇	1	4	yes	—
412	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
413	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
414	C₂²×D₄	—	2	1	no	—
415	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
416	C₂³×C₄	—	2	1	no	—
417	C₂³×C₄	—	2	1	no	—
418	C₂³×C₄	—	2	1	no	—
419	C₂³×C₄	C₇×D₄	1	1	yes	characteristic
420	C₂³×C₄	C₇×D₄	1	1	yes	characteristic
421	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
422	C₂×Q₁₆	—	2	2	no	—
423	C₂×Q₁₆	—	2	2	no	—
424	C₂×Q₁₆	C₂×C₄×C₇	1	4	yes	complemented
425	C₂×SD₁₆	—	2	2	no	—
426	C₂×SD₁₆	—	2	2	no	—
427	C₂×SD₁₆	C₂×C₄×C₇	1	4	yes	complemented
428	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
429	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
430	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
431	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
432	C₂²⋊Q₈	—	2	2	no	—
433	C₂²⋊Q₈	C₂×C₄×C₇	1	4	yes	complemented
434	C₄×Q₈	—	2	2	no	—
435	C₄×Q₈	—	2	2	no	—
436	C₄×Q₈	—	2	2	no	—
437	C₄×Q₈	—	2	2	no	—
438	C₄×Q₈	—	2	2	no	—
439	C₄×Q₈	C₇×D₄	1	4	yes	—
440	C₄×D₄	—	2	8	no	—
441	C₄×D₄	—	2	8	no	—
442	C₄×D₄	—	2	2	no	—
443	C₄×D₄	—	2	2	no	—
444	C₄×D₄	—	2	2	no	—
445	C₄×D₄	C₇×D₄	1	4	yes	—
446	#117	—	2	8	no	—
447	#117	—	2	2	no	—
448	#117	—	2	2	no	—
449	C₂×C₄⋊C₄	—	2	1	no	—
450	C₂×C₄⋊C₄	—	2	1	no	—
451	C₂×C₄⋊C₄	—	2	1	no	—
452	C₂×C₄⋊C₄	—	2	1	no	—
453	C₂×C₄⋊C₄	—	2	1	no	—
454	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
455	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
456	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
457	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
458	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
459	C₂×C₂²⋊C₄	—	2	1	no	—
460	C₂×C₂²⋊C₄	—	2	1	no	—
461	C₂×C₂²⋊C₄	—	2	1	no	—
462	C₂×C₂²⋊C₄	—	2	1	no	—
463	C₂×C₂²⋊C₄	—	2	1	no	—
464	C₂×C₄²	—	2	8	no	—
465	C₂×C₄²	—	2	1	no	—
466	C₂×C₄²	—	2	1	no	—
467	C₂×C₄²	—	2	1	no	—
468	C₂×C₄²	—	2	2	no	—
469	C₂×C₄²	—	2	2	no	—
470	C₂×C₄²	—	2	1	no	—
471	C₂×C₄²	—	2	1	no	—
472	C₂×C₄²	C₇×D₄	1	1	yes	characteristic
473	C₂×C₄²	C₇×D₄	1	1	yes	characteristic
474	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
475	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
476	#107	—	2	2	no	—
477	#106	—	2	2	no	—
478	#103	—	2	2	no	—
479	#103	—	2	2	no	—
480	#103	—	2	2	no	—
481	#103	—	2	2	no	—
482	#103	C₂×C₄×C₇	1	4	yes	complemented
483	#102	—	2	2	no	—
484	#102	—	2	2	no	—
485	#102	C₂×C₄×C₇	1	4	yes	complemented
486	C₂²⋊C₈	—	2	2	no	—
487	C₂²⋊C₈	C₂×C₄×C₇	1	4	yes	complemented
488	#97	—	2	2	no	—
489	#97	—	2	2	no	—
490	#95	—	2	1	no	—
491	#95	—	2	1	no	—
492	#95	—	2	1	no	—
493	#95	—	2	1	no	—
494	#95	—	2	1	no	—
495	C₂²×C₇	—	2	2	no	—
496	C₂²×C₇	—	2	2	no	—
497	C₂²×C₇	—	2	2	no	—
498	C₂²×C₇	—	2	4	no	—
499	C₂²×C₇	—	4	1	no	—
500	C₂²×C₇	—	4	2	no	—
501	C₂²×C₇	—	4	1	no	—
502	C₂²×C₇	—	4	2	no	—
503	C₂²×C₇	—	4	2	no	—
504	C₂²×C₇	—	4	2	no	—
505	C₂²×C₇	—	4	1	no	—
506	C₂²×C₇	—	4	2	no	—
507	C₂²×C₇	—	4	1	no	—
508	C₂²×C₇	—	4	2	no	—
509	C₂²×C₇	C₂×C₄×D₄	1	1	yes	characteristic
510	C₂²×C₇	C₂×#120	1	1	yes	characteristic
511	C₂²×C₇	#525	1	1	yes	characteristic
512	C₂²×C₇	C₂×#137	1	1	yes	characteristic
513	C₂²×C₇	#575	1	1	yes	characteristic
514	C₂²×C₇	#575	1	1	yes	characteristic
515	C₂²×C₇	#575	1	1	yes	characteristic
516	C₄×C₇	—	2	2	no	—
517	C₄×C₇	—	2	2	no	—
518	C₄×C₇	—	2	2	no	—
519	C₄×C₇	—	2	2	no	—
520	C₄×C₇	—	2	4	no	—
521	C₄×C₇	—	4	2	no	—
522	C₄×C₇	—	4	1	no	—
523	C₄×C₇	—	4	2	no	—
524	C₄×C₇	—	4	2	no	—
525	C₄×C₇	—	4	2	no	—
526	C₄×C₇	—	8	1	no	—
527	C₄×C₇	—	8	1	no	—
528	C₄×C₇	C₂×C₄×D₄	1	1	yes	characteristic
529	C₄×C₇	C₂×C₄×D₄	1	1	yes	characteristic
530	C₄×C₇	#525	1	1	yes	characteristic
531	C₄×C₇	#525	1	1	yes	characteristic
532	C₂⁴	—	2	1	no	—
533	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
534	#41	—	2	8	no	—
535	#41	—	2	8	no	—
536	#41	—	2	8	no	—
537	#41	—	2	8	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	—	2	1	no	—
544	C₂×Q₈	—	2	1	no	—
545	C₂×Q₈	—	2	1	no	—
546	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
547	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
548	C₂×Q₈	C₂×C₇×D₄	1	2	yes	—
549	C₂×Q₈	C₇×#41	1	2	yes	—
550	C₂×D₄	—	2	4	no	—
551	C₂×D₄	—	2	4	no	—
552	C₂×D₄	—	2	4	no	—
553	C₂×D₄	—	2	1	no	—
554	C₂×D₄	—	2	1	no	—
555	C₂×D₄	—	2	1	no	—
556	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
557	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
558	C₂×D₄	C₇×#41	1	2	yes	—
559	C₂²×C₄	—	2	4	no	—
560	C₂²×C₄	—	2	4	no	—
561	C₂²×C₄	—	2	1	no	—
562	C₂²×C₄	—	2	4	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	4	no	—
568	C₂²×C₄	—	2	1	no	—
569	C₂²×C₄	—	2	1	no	—
570	C₂²×C₄	—	2	1	no	—
571	C₂²×C₄	—	2	1	no	—
572	C₂²×C₄	—	2	2	no	—
573	C₂²×C₄	—	2	2	no	—
574	C₂²×C₄	—	2	4	no	—
575	C₂²×C₄	—	2	2	no	—
576	C₂²×C₄	—	2	1	no	—
577	C₂²×C₄	—	2	1	no	—
578	C₂²×C₄	—	4	1	no	—
579	C₂²×C₄	—	4	1	no	—
580	C₂²×C₄	—	4	1	no	—
581	C₂²×C₄	—	4	2	no	—
582	C₂²×C₄	—	4	2	no	—
583	C₂²×C₄	—	4	2	no	—
584	C₂²×C₄	—	4	2	no	—
585	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
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	C₂×C₇×D₄	1	1	yes	characteristic
590	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
591	C₂²×C₄	C₇×#41	1	2	yes	—
592	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
593	Q₁₆	—	2	8	no	—
594	SD₁₆	—	2	8	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	—	2	1	no	—
600	C₂×C₈	—	2	1	no	—
601	C₂×C₈	—	2	1	no	—
602	C₂×C₈	—	2	1	no	—
603	C₂×C₈	—	2	1	no	—
604	C₂×C₈	—	2	1	no	—
605	C₂×C₈	C₂²×C₄×C₇	1	2	yes	—
606	C₂×C₈	C₂²×C₄×C₇	1	2	yes	—
607	C₄⋊C₄	—	2	4	no	—
608	C₄⋊C₄	—	2	4	no	—
609	C₄⋊C₄	—	2	4	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	—	2	1	no	—
615	C₄⋊C₄	—	2	1	no	—
616	C₄⋊C₄	—	2	1	no	—
617	C₄⋊C₄	—	4	2	no	—
618	C₄⋊C₄	—	4	2	no	—
619	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
620	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
621	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
622	C₂²⋊C₄	—	2	4	no	—
623	C₂²⋊C₄	—	2	4	no	—
624	C₂²⋊C₄	—	2	4	no	—
625	C₂²⋊C₄	—	2	4	no	—
626	C₂²⋊C₄	—	4	2	no	—
627	C₄²	—	2	4	no	—
628	C₄²	—	2	4	no	—
629	C₄²	—	2	2	no	—
630	C₄²	—	2	4	no	—
631	C₄²	—	2	2	no	—
632	C₄²	—	2	1	no	—
633	C₄²	—	2	1	no	—
634	C₄²	—	4	2	no	—
635	C₄²	—	4	2	no	—
636	C₄²	C₂×C₇×D₄	1	2	yes	—
637	C₄²	C₂×C₇×D₄	1	2	yes	—
638	C₂×C₇	—	4	2	no	—
639	C₂×C₇	—	4	4	no	—
640	C₂×C₇	C₄×#120	1	1	yes	characteristic
641	C₂×C₇	#2943	1	1	yes	characteristic
642	C₂×C₇	C₄×#137	1	1	yes	characteristic
643	C₂×C₇	#3005	1	1	yes	characteristic
644	C₂×C₇	#3007	1	1	yes	characteristic
645	C₂×C₇	#3111	1	1	yes	characteristic
646	C₂×C₇	#3116	1	1	yes	characteristic
647	C₂³	—	2	2	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	2	no	—
650	C₂³	—	2	1	no	—
651	C₂³	—	2	2	no	—
652	C₂³	—	2	1	no	—
653	C₂³	—	2	1	no	—
654	C₂³	—	2	1	no	—
655	C₂³	—	2	1	no	—
656	C₂³	—	4	1	no	—
657	C₂³	—	4	1	no	—
658	C₂³	—	4	1	no	—
659	C₂³	—	4	1	no	—
660	C₂³	C₄×C₇×D₄	1	2	yes	—
661	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
662	Q₈	—	2	2	no	—
663	Q₈	—	2	2	no	—
664	Q₈	—	2	2	no	—
665	Q₈	—	2	2	no	—
666	Q₈	—	2	2	no	—
667	Q₈	—	4	1	no	—
668	Q₈	—	4	1	no	—
669	Q₈	C₄×C₇×D₄	1	4	yes	—
670	D₄	—	2	16	no	—
671	D₄	—	2	2	no	—
672	D₄	—	2	2	no	—
673	D₄	—	2	2	no	—
674	D₄	C₄×C₇×D₄	1	4	yes	—
675	C₂×C₄	—	2	16	no	—
676	C₂×C₄	—	2	2	no	—
677	C₂×C₄	—	2	1	no	—
678	C₂×C₄	—	2	1	no	—
679	C₂×C₄	—	2	2	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	1	no	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	1	no	—
687	C₂×C₄	—	2	2	no	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	2	no	—
691	C₂×C₄	—	2	2	no	—
692	C₂×C₄	—	2	2	no	—
693	C₂×C₄	—	2	1	no	—
694	C₂×C₄	—	2	2	no	—
695	C₂×C₄	—	2	2	no	—
696	C₂×C₄	—	2	1	no	—
697	C₂×C₄	—	2	1	no	—
698	C₂×C₄	—	4	4	no	—
699	C₂×C₄	—	4	4	no	—
700	C₂×C₄	—	4	8	no	—
701	C₂×C₄	—	4	8	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	—	4	1	no	—
709	C₂×C₄	—	4	1	no	—
710	C₂×C₄	—	4	1	no	—
711	C₂×C₄	—	4	1	no	—
712	C₂×C₄	—	4	1	no	—
713	C₂×C₄	—	4	1	no	—
714	C₂×C₄	—	4	1	no	—
715	C₂×C₄	—	4	1	no	—
716	C₂×C₄	C₄×C₇×D₄	1	2	yes	—
717	C₂×C₄	C₇×#120	1	2	yes	—
718	C₂×C₄	C₇×#120	1	2	yes	—
719	C₂×C₄	C₇×#137	1	2	yes	—
720	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
721	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
722	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
723	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
724	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
725	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
726	C₈	—	2	2	no	—
727	C₈	—	2	2	no	—
728	C₈	—	4	1	no	—
729	C₈	—	4	1	no	—
730	C₇	#21457	1	1	yes	characteristic, direct product factor, Sylow
731	C₂²	—	2	2	no	—
732	C₂²	—	2	2	no	—
733	C₂²	—	2	2	no	—
734	C₂²	—	2	4	no	—
735	C₂²	—	4	2	no	—
736	C₂²	—	4	2	no	—
737	C₂²	—	4	1	no	—
738	C₂²	—	4	2	no	—
739	C₂²	—	4	1	no	—
740	C₂²	—	4	2	no	—
741	C₂²	—	4	1	no	—
742	C₂²	—	4	2	no	—
743	C₂²	—	4	1	no	—
744	C₂²	—	4	2	no	—
745	C₂²	C₂×C₄×C₇×D₄	1	1	yes	characteristic
746	C₂²	C₂×C₇×#120	1	1	yes	characteristic
747	C₂²	C₇×#525	1	1	yes	characteristic
748	C₂²	C₂×C₇×#137	1	1	yes	characteristic
749	C₂²	C₇×#575	1	1	yes	characteristic
750	C₂²	C₇×#575	1	1	yes	characteristic
751	C₂²	C₇×#575	1	1	yes	characteristic
752	C₄	—	2	2	no	—
753	C₄	—	2	2	no	—
754	C₄	—	2	2	no	—
755	C₄	—	2	2	no	—
756	C₄	—	2	4	no	—
757	C₄	—	4	2	no	—
758	C₄	—	4	1	no	—
759	C₄	—	4	2	no	—
760	C₄	—	4	2	no	—
761	C₄	—	4	2	no	—
762	C₄	—	8	1	no	—
763	C₄	—	8	1	no	—
764	C₄	C₂×C₄×C₇×D₄	1	1	yes	characteristic
765	C₄	C₂×C₄×C₇×D₄	1	1	yes	characteristic
766	C₄	C₇×#525	1	1	yes	characteristic
767	C₄	C₇×#525	1	1	yes	characteristic
768	C₂	—	4	2	no	—
769	C₂	—	4	4	no	—
770	C₂	C₄×C₇×#120	1	1	yes	characteristic
771	C₂	C₇×#2943	1	1	yes	characteristic
772	C₂	C₄×C₇×#137	1	1	yes	characteristic
773	C₂	C₇×#3005	1	1	yes	characteristic
774	C₂	C₇×#3007	1	1	yes	characteristic
775	C₂	C₇×#3111	1	1	yes	characteristic
776	C₂	C₇×#3116	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 ◁ C₂²×C₄²×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₂×C₇×#441	C₂	semidirect
4. C₂×C₇×#440	C₂	semidirect
5. C₄×C₇×C₂²⋊Q₈	C₂	semidirect
6. C₇×#1878	C₂	semidirect
7. C₇×#1877	C₂	semidirect
8. C₇×#1873	C₂	semidirect
9. C₇×#1864	C₂	semidirect
10. C₇×#1863	C₂	semidirect
11. C₇×#1854	C₂	semidirect
13. C₇×#1763	C₂	semidirect
14. C₇×#1762	C₂	semidirect
15. C₇×#1749	C₂	semidirect
33. C₇×#452	C₄	semidirect
64. #21457	C₇	direct (N × H)
83. C₂×C₇×Q₁₆	C₂×C₄	semidirect
86. C₂×C₇×SD₁₆	C₂×C₄	semidirect
92. 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×#441	C₂×C₇	semidirect
157. C₂×#440	C₂×C₇	semidirect
158. C₄×C₂²⋊Q₈	C₂×C₇	semidirect
159. #1878	C₂×C₇	semidirect
160. #1877	C₂×C₇	semidirect
161. #1873	C₂×C₇	semidirect
162. #1864	C₂×C₇	semidirect
163. #1863	C₂×C₇	semidirect
164. #1854	C₂×C₇	semidirect
166. #1763	C₂×C₇	semidirect
167. #1762	C₂×C₇	semidirect
168. #1749	C₂×C₇	semidirect
292. #452	C₄×C₇	semidirect
424. C₂×Q₁₆	C₂×C₄×C₇	semidirect
427. C₂×SD₁₆	C₂×C₄×C₇	semidirect
433. C₂²⋊Q₈	C₂×C₄×C₇	semidirect
482. #103	C₂×C₄×C₇	semidirect
485. #102	C₂×C₄×C₇	semidirect
487. C₂²⋊C₈	C₂×C₄×C₇	semidirect
730. C₇	#21457	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×C₄×C₇×#41	2
C₂×C₇×#452	2
C₂×C₇×#441	2
C₂×C₇×#440	2
C₄×C₇×C₂²⋊Q₈	2
C₇×#1878	2
C₇×#1877	2
C₇×#1873	2
C₇×#1864	2
C₇×#1863	2
C₇×#1854	2
C₇×#1788	2
C₇×#1763	2
C₇×#1762	2
C₇×#1749	2
#21457	7

Subgroups — C7×#21457 #13198673

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#21457 #13198673