Subgroups — C₇×#60269 #13237485

Order 1792.

1864 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3444	C₂	1	1	yes	maximal, characteristic
2	C₇×#2995	C₂	1	4	yes	maximal, complemented
3	C₇×#2992	C₂	1	4	yes	maximal, complemented
4	C₇×#2990	C₂	1	4	yes	maximal, complemented
5	C₇×#2989	C₂	1	4	yes	maximal, complemented
6	C₇×#2961	C₂	1	2	yes	maximal, complemented
7	C₇×#2933	C₂	1	4	yes	maximal, complemented
8	C₇×#2932	C₂	1	2	yes	maximal, complemented
9	C₇×#2925	C₂	1	2	yes	maximal, complemented
10	C₂×C₇×#432	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#2906	C₂	1	2	yes	maximal, complemented
12	C₂×C₇×#423	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₇×#131	C₂²	1	4	yes	—
14	C₂²×C₇×M₁₆	C₂²	1	2	yes	—
15	C₇×#533	C₄	1	1	yes	characteristic
16	C₇×#533	C₄	1	1	yes	characteristic
17	C₇×#533	C₂²	1	1	yes	characteristic
18	C₇×#532	C₄	1	1	yes	characteristic
19	C₇×#532	C₄	1	1	yes	characteristic
20	C₇×#532	C₂²	1	1	yes	characteristic
21	C₇×#529	C₄	1	2	yes	—
22	C₇×#529	C₄	1	2	yes	—
23	C₇×#529	C₄	1	2	yes	—
24	C₇×#529	C₄	1	2	yes	—
25	C₇×#529	C₂²	1	2	yes	—
26	C₇×#529	C₂²	1	2	yes	—
27	C₇×#525	C₄	1	2	yes	—
28	C₇×#525	C₄	1	2	yes	—
29	C₇×#525	C₂²	1	2	yes	—
30	C₄×C₇×#41	C₂²	1	2	yes	—
31	C₄×C₇×#41	C₂²	1	2	yes	—
32	C₄×C₇×#41	C₂²	1	2	yes	—
33	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
34	C₇×#446	C₂²	1	8	yes	complemented
35	C₇×#446	C₂²	1	8	yes	complemented
36	C₇×#436	C₂²	1	8	yes	—
37	C₇×#435	C₂²	1	8	yes	—
38	C₇×#435	C₂²	1	8	yes	—
39	C₇×#435	C₂²	1	8	yes	complemented
40	C₇×#435	C₂²	1	8	yes	complemented
41	C₇×C₈×D₄	C₂²	1	8	yes	—
42	C₇×#433	C₂²	1	8	yes	complemented
43	C₇×#432	C₂²	1	2	yes	—
44	C₇×#432	C₂²	1	2	yes	—
45	C₇×#432	C₂²	1	2	yes	—
46	C₇×#432	C₂²	1	2	yes	—
47	C₇×#432	C₂²	1	4	yes	complemented
48	C₇×#431	C₂²	1	4	yes	complemented
49	C₇×#424	C₂²	1	4	yes	—
50	C₇×#424	C₂²	1	8	yes	complemented
51	C₇×#423	C₂²	1	2	yes	—
52	C₇×#423	C₂²	1	2	yes	—
53	C₇×#423	C₂²	1	2	yes	—
54	C₇×#423	C₂²	1	2	yes	—
55	C₇×#423	C₂²	1	4	yes	complemented
56	C₂×C₇×C₄⋊C₈	C₂²	1	2	yes	—
57	C₂×C₇×C₄⋊C₈	C₂²	1	2	yes	—
58	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
59	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
60	C₂×C₇×C₄⋊C₈	C₂²	1	4	yes	complemented
61	C₇×#408	C₂²	1	4	yes	—
62	C₂×C₇×C₂²⋊C₈	C₂²	1	2	yes	—
63	C₇×#405	C₂²	1	4	yes	—
64	C₂×C₇×#97	C₂²	1	2	yes	—
65	#60269	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
66	C₂×C₇×#41	C₂×C₄	1	2	yes	—
67	C₂×C₇×#41	C₂×C₄	1	2	yes	—
68	C₂×C₇×#41	C₂³	1	2	yes	—
69	C₂³×C₄×C₇	C₂×C₄	1	1	yes	characteristic
70	C₂³×C₄×C₇	C₂×C₄	1	1	yes	characteristic
71	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
72	C₇×#131	—	4	8	no	—
73	C₂×C₇×M₁₆	—	4	4	no	—
74	C₂×C₇×M₁₆	C₂³	1	4	yes	—
75	C₂×C₇×M₁₆	C₂³	1	4	yes	—
76	C₂×C₇×M₁₆	C₂³	1	8	yes	—
77	C₂²×C₇×C₈	C₂³	1	2	yes	—
78	C₂²×C₇×C₈	C₂³	1	2	yes	—
79	C₂²×C₇×C₈	C₂³	1	4	yes	—
80	C₂²×C₇×C₈	C₂³	1	8	yes	—
81	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
82	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
83	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
84	C₇×#127	C₂×C₄	1	1	yes	characteristic
85	C₇×#126	C₂×C₄	1	4	yes	—
86	C₇×#126	C₂×C₄	1	4	yes	—
87	C₇×#125	C₂×C₄	1	2	yes	—
88	C₇×#125	C₂×C₄	1	2	yes	—
89	C₇×#125	C₂×C₄	1	2	yes	—
90	C₇×#124	C₂×C₄	1	2	yes	—
91	C₇×#124	C₂×C₄	1	2	yes	—
92	C₇×#124	C₂×C₄	1	2	yes	—
93	C₇×#123	C₂×C₄	1	4	yes	—
94	C₇×#123	C₂×C₄	1	4	yes	—
95	C₇×#123	C₂×C₄	1	4	yes	—
96	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
97	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
98	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
99	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
100	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
101	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
102	C₇×#121	C₂×C₄	1	2	yes	—
103	C₇×#121	C₂×C₄	1	2	yes	—
104	C₇×#121	C₂×C₄	1	2	yes	—
105	C₇×#121	C₂×C₄	1	2	yes	—
106	C₇×#121	C₂×C₄	1	2	yes	—
107	C₇×#121	C₂×C₄	1	2	yes	—
108	C₇×#120	C₂×C₄	1	4	yes	—
109	C₄×C₇×Q₈	C₂×C₄	1	2	yes	—
110	C₄×C₇×Q₈	C₂×C₄	1	2	yes	—
111	C₄×C₇×Q₈	C₂×C₄	1	2	yes	—
112	C₄×C₇×Q₈	C₂×C₄	1	2	yes	—
113	C₄×C₇×Q₈	C₂³	1	2	yes	—
114	C₄×C₇×Q₈	C₂³	1	2	yes	—
115	C₄×C₇×D₄	C₂×C₄	1	4	yes	—
116	C₄×C₇×D₄	C₂×C₄	1	4	yes	—
117	C₄×C₇×D₄	C₂×C₄	1	4	yes	—
118	C₄×C₇×D₄	C₂×C₄	1	4	yes	—
119	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
120	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
121	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
122	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
123	C₄×C₇×D₄	C₂³	1	4	yes	—
124	C₄×C₇×D₄	C₂³	1	4	yes	—
125	C₄×C₇×D₄	C₂³	1	2	yes	—
126	C₄×C₇×D₄	C₂³	1	2	yes	—
127	C₇×#117	C₂×C₄	1	2	yes	—
128	C₇×#117	C₂×C₄	1	2	yes	—
129	C₇×#117	C₂×C₄	1	4	yes	—
130	C₇×#117	C₂×C₄	1	4	yes	—
131	C₇×#117	C₂³	1	2	yes	—
132	C₇×#117	C₂³	1	4	yes	—
133	C₂×C₄²×C₇	C₂×C₄	1	1	yes	characteristic
134	C₂×C₄²×C₇	C₂×C₄	1	1	yes	characteristic
135	C₂×C₄²×C₇	C₂×C₄	1	1	yes	characteristic
136	C₂×C₄²×C₇	C₂×C₄	1	1	yes	characteristic
137	C₂×C₄²×C₇	C₂×C₄	1	1	yes	characteristic
138	C₂×C₄²×C₇	C₂×C₄	1	1	yes	characteristic
139	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
140	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
141	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
142	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
143	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
144	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
145	C₂×C₄²×C₇	C₂³	1	4	yes	—
146	C₇×C₄⋊C₈	C₂³	1	2	yes	—
147	C₇×C₄⋊C₈	C₂³	1	4	yes	—
148	C₇×C₄⋊C₈	C₂³	1	4	yes	—
149	C₇×C₄⋊C₈	C₂³	1	4	yes	—
150	C₇×C₄⋊C₈	C₂³	1	4	yes	—
151	C₇×C₄⋊C₈	C₂³	1	2	yes	—
152	C₇×C₄⋊C₈	C₂³	1	2	yes	—
153	C₇×C₄⋊C₈	C₂³	1	2	yes	—
154	C₇×C₄⋊C₈	C₂³	1	8	yes	—
155	C₇×C₄⋊C₈	C₂³	1	8	yes	—
156	C₇×C₂²⋊C₈	C₂³	1	4	yes	—
157	C₇×C₂²⋊C₈	C₂³	1	4	yes	—
158	C₇×C₂²⋊C₈	C₂³	1	8	yes	—
159	C₇×C₂²⋊C₈	C₂³	1	8	yes	—
160	C₇×#97	C₂³	1	4	yes	—
161	C₇×#97	C₂³	1	4	yes	—
162	C₇×#97	C₂³	1	8	yes	—
163	C₄×C₇×C₈	C₂³	1	8	yes	—
164	#3444	C₂×C₇	1	1	yes	characteristic
165	#2995	C₂×C₇	1	4	yes	complemented
166	#2992	C₂×C₇	1	4	yes	complemented
167	#2990	C₂×C₇	1	4	yes	complemented
168	#2989	C₂×C₇	1	4	yes	complemented
169	#2961	C₂×C₇	1	2	yes	complemented
170	#2933	C₂×C₇	1	4	yes	complemented
171	#2932	C₂×C₇	1	2	yes	complemented
172	#2925	C₂×C₇	1	2	yes	complemented
173	C₂×#432	C₂×C₇	1	1	yes	characteristic, complemented
174	#2906	C₂×C₇	1	2	yes	complemented
175	C₂×#423	C₂×C₇	1	1	yes	characteristic, complemented
176	C₂⁴×C₇	C₂²×C₄	1	1	yes	characteristic
177	C₇×#41	—	2	4	no	—
178	C₇×#41	—	2	4	no	—
179	C₇×#41	—	4	4	no	—
180	C₇×#41	—	4	4	no	—
181	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
182	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
183	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
184	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
185	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
186	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
187	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
188	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
189	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
190	C₂²×C₄×C₇	—	2	2	no	—
191	C₂²×C₄×C₇	—	2	2	no	—
192	C₂²×C₄×C₇	—	4	2	no	—
193	C₂²×C₄×C₇	—	4	2	no	—
194	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
195	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
196	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
197	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
198	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
199	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
200	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
201	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
202	C₂²×C₄×C₇	C₂²×C₄	1	4	yes	—
203	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
204	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
205	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
206	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
207	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
208	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
209	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
210	C₂²×C₄×C₇	C₂²×C₄	1	4	yes	—
211	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
212	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
213	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
214	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
215	C₇×M₁₆	—	2	8	no	—
216	C₇×M₁₆	—	4	4	no	—
217	C₇×M₁₆	—	4	8	no	—
218	C₂×C₇×C₈	—	2	4	no	—
219	C₂×C₇×C₈	—	2	4	no	—
220	C₂×C₇×C₈	—	4	4	no	—
221	C₂×C₇×C₈	—	4	8	no	—
222	C₂×C₇×C₈	C₂⁴	1	4	yes	—
223	C₂×C₇×C₈	C₂⁴	1	8	yes	—
224	C₂×C₇×C₈	C₂⁴	1	4	yes	—
225	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
226	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
227	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
228	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
229	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
230	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
231	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
232	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
233	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
234	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
235	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
236	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
237	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
238	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
239	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
240	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
241	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
242	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
243	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
244	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
245	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
246	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
247	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
248	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
249	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
250	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
251	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
252	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
253	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
254	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
255	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
256	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
257	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
258	C₄²×C₇	C₂²×C₄	1	4	yes	—
259	C₄²×C₇	C₂²×C₄	1	4	yes	—
260	C₄²×C₇	C₂⁴	1	4	yes	—
261	C₄²×C₇	C₂⁴	1	1	yes	characteristic
262	C₄²×C₇	C₂⁴	1	1	yes	characteristic
263	C₄²×C₇	C₂⁴	1	1	yes	characteristic
264	C₄²×C₇	C₂⁴	1	1	yes	characteristic
265	C₂×#131	C₂²×C₇	1	4	yes	—
266	C₂²×M₁₆	C₂²×C₇	1	2	yes	—
267	#533	C₄×C₇	1	1	yes	characteristic
268	#533	C₄×C₇	1	1	yes	characteristic
269	#533	C₂²×C₇	1	1	yes	characteristic
270	#532	C₄×C₇	1	1	yes	characteristic
271	#532	C₄×C₇	1	1	yes	characteristic
272	#532	C₂²×C₇	1	1	yes	characteristic
273	#529	C₄×C₇	1	2	yes	—
274	#529	C₄×C₇	1	2	yes	—
275	#529	C₄×C₇	1	2	yes	—
276	#529	C₄×C₇	1	2	yes	—
277	#529	C₂²×C₇	1	2	yes	—
278	#529	C₂²×C₇	1	2	yes	—
279	#525	C₄×C₇	1	2	yes	—
280	#525	C₄×C₇	1	2	yes	—
281	#525	C₂²×C₇	1	2	yes	—
282	C₄×#41	C₂²×C₇	1	2	yes	—
283	C₄×#41	C₂²×C₇	1	2	yes	—
284	C₄×#41	C₂²×C₇	1	2	yes	—
285	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
286	#446	C₂²×C₇	1	8	yes	complemented
287	#446	C₂²×C₇	1	8	yes	complemented
288	#436	C₂²×C₇	1	8	yes	—
289	#435	C₂²×C₇	1	8	yes	—
290	#435	C₂²×C₇	1	8	yes	—
291	#435	C₂²×C₇	1	8	yes	complemented
292	#435	C₂²×C₇	1	8	yes	complemented
293	C₈×D₄	C₂²×C₇	1	8	yes	—
294	#433	C₂²×C₇	1	8	yes	complemented
295	#432	C₂²×C₇	1	2	yes	—
296	#432	C₂²×C₇	1	2	yes	—
297	#432	C₂²×C₇	1	2	yes	—
298	#432	C₂²×C₇	1	2	yes	—
299	#432	C₂²×C₇	1	4	yes	complemented
300	#431	C₂²×C₇	1	4	yes	complemented
301	#424	C₂²×C₇	1	4	yes	—
302	#424	C₂²×C₇	1	8	yes	complemented
303	#423	C₂²×C₇	1	2	yes	—
304	#423	C₂²×C₇	1	2	yes	—
305	#423	C₂²×C₇	1	2	yes	—
306	#423	C₂²×C₇	1	2	yes	—
307	#423	C₂²×C₇	1	4	yes	complemented
308	C₂×C₄⋊C₈	C₂²×C₇	1	2	yes	—
309	C₂×C₄⋊C₈	C₂²×C₇	1	2	yes	—
310	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic
311	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic
312	C₂×C₄⋊C₈	C₂²×C₇	1	4	yes	complemented
313	#408	C₂²×C₇	1	4	yes	—
314	C₂×C₂²⋊C₈	C₂²×C₇	1	2	yes	—
315	#405	C₂²×C₇	1	4	yes	—
316	C₂×#97	C₂²×C₇	1	2	yes	—
317	C₂³×C₇	—	2	2	no	—
318	C₂³×C₇	—	2	2	no	—
319	C₂³×C₇	—	4	1	no	—
320	C₂³×C₇	C₂³×C₄	1	4	yes	—
321	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
322	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
323	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
324	C₇×Q₈	—	2	4	no	—
325	C₇×Q₈	—	4	2	no	—
326	C₇×Q₈	—	4	2	no	—
327	C₇×D₄	—	2	8	no	—
328	C₇×D₄	—	2	8	no	—
329	C₇×D₄	—	2	4	no	—
330	C₇×D₄	—	4	2	no	—
331	C₇×D₄	—	4	2	no	—
332	C₇×D₄	—	4	4	no	—
333	C₂×C₄×C₇	—	2	2	no	—
334	C₂×C₄×C₇	—	2	2	no	—
335	C₂×C₄×C₇	—	2	2	no	—
336	C₂×C₄×C₇	—	2	2	no	—
337	C₂×C₄×C₇	—	2	2	no	—
338	C₂×C₄×C₇	—	2	2	no	—
339	C₂×C₄×C₇	—	2	2	no	—
340	C₂×C₄×C₇	—	2	2	no	—
341	C₂×C₄×C₇	—	2	8	no	—
342	C₂×C₄×C₇	—	2	1	no	—
343	C₂×C₄×C₇	—	2	4	no	—
344	C₂×C₄×C₇	—	2	1	no	—
345	C₂×C₄×C₇	—	2	1	no	—
346	C₂×C₄×C₇	—	2	1	no	—
347	C₂×C₄×C₇	—	2	4	no	—
348	C₂×C₄×C₇	—	4	1	no	—
349	C₂×C₄×C₇	—	4	1	no	—
350	C₂×C₄×C₇	—	4	1	no	—
351	C₂×C₄×C₇	—	4	1	no	—
352	C₂×C₄×C₇	—	4	1	no	—
353	C₂×C₄×C₇	—	4	1	no	—
354	C₂×C₄×C₇	—	4	1	no	—
355	C₂×C₄×C₇	—	4	4	no	—
356	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
357	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
358	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
359	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
360	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
361	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
362	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
363	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
364	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
365	C₂×C₄×C₇	C₂³×C₄	1	4	yes	—
366	C₂×C₄×C₇	C₂³×C₄	1	4	yes	—
367	C₂×C₄×C₇	C₂³×C₄	1	4	yes	—
368	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
369	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
370	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
371	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
372	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
373	C₇×C₈	—	2	4	no	—
374	C₇×C₈	—	2	8	no	—
375	C₇×C₈	—	2	4	no	—
376	C₂×#41	C₂×C₄×C₇	1	2	yes	—
377	C₂×#41	C₂×C₄×C₇	1	2	yes	—
378	C₂×#41	C₂³×C₇	1	2	yes	—
379	C₂³×C₄	C₂×C₄×C₇	1	1	yes	characteristic
380	C₂³×C₄	C₂×C₄×C₇	1	1	yes	characteristic
381	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
382	#131	—	4	8	no	—
383	C₂×M₁₆	—	4	4	no	—
384	C₂×M₁₆	C₂³×C₇	1	4	yes	—
385	C₂×M₁₆	C₂³×C₇	1	4	yes	—
386	C₂×M₁₆	C₂³×C₇	1	8	yes	—
387	C₂²×C₈	C₂³×C₇	1	2	yes	—
388	C₂²×C₈	C₂³×C₇	1	2	yes	—
389	C₂²×C₈	C₂³×C₇	1	4	yes	—
390	C₂²×C₈	C₂³×C₇	1	8	yes	—
391	C₄⋊Q₈	C₂×C₄×C₇	1	1	yes	characteristic
392	C₄⋊Q₈	C₂×C₄×C₇	1	1	yes	characteristic
393	C₄⋊Q₈	C₂×C₄×C₇	1	1	yes	characteristic
394	#127	C₂×C₄×C₇	1	1	yes	characteristic
395	#126	C₂×C₄×C₇	1	4	yes	—
396	#126	C₂×C₄×C₇	1	4	yes	—
397	#125	C₂×C₄×C₇	1	2	yes	—
398	#125	C₂×C₄×C₇	1	2	yes	—
399	#125	C₂×C₄×C₇	1	2	yes	—
400	#124	C₂×C₄×C₇	1	2	yes	—
401	#124	C₂×C₄×C₇	1	2	yes	—
402	#124	C₂×C₄×C₇	1	2	yes	—
403	#123	C₂×C₄×C₇	1	4	yes	—
404	#123	C₂×C₄×C₇	1	4	yes	—
405	#123	C₂×C₄×C₇	1	4	yes	—
406	C₂²⋊Q₈	C₂×C₄×C₇	1	2	yes	—
407	C₂²⋊Q₈	C₂×C₄×C₇	1	2	yes	—
408	C₂²⋊Q₈	C₂×C₄×C₇	1	2	yes	—
409	C₂²⋊Q₈	C₂×C₄×C₇	1	2	yes	—
410	C₂²⋊Q₈	C₂×C₄×C₇	1	2	yes	—
411	C₂²⋊Q₈	C₂×C₄×C₇	1	2	yes	—
412	#121	C₂×C₄×C₇	1	2	yes	—
413	#121	C₂×C₄×C₇	1	2	yes	—
414	#121	C₂×C₄×C₇	1	2	yes	—
415	#121	C₂×C₄×C₇	1	2	yes	—
416	#121	C₂×C₄×C₇	1	2	yes	—
417	#121	C₂×C₄×C₇	1	2	yes	—
418	#120	C₂×C₄×C₇	1	4	yes	—
419	C₄×Q₈	C₂×C₄×C₇	1	2	yes	—
420	C₄×Q₈	C₂×C₄×C₇	1	2	yes	—
421	C₄×Q₈	C₂×C₄×C₇	1	2	yes	—
422	C₄×Q₈	C₂×C₄×C₇	1	2	yes	—
423	C₄×Q₈	C₂³×C₇	1	2	yes	—
424	C₄×Q₈	C₂³×C₇	1	2	yes	—
425	C₄×D₄	C₂×C₄×C₇	1	4	yes	—
426	C₄×D₄	C₂×C₄×C₇	1	4	yes	—
427	C₄×D₄	C₂×C₄×C₇	1	4	yes	—
428	C₄×D₄	C₂×C₄×C₇	1	4	yes	—
429	C₄×D₄	C₂×C₄×C₇	1	2	yes	—
430	C₄×D₄	C₂×C₄×C₇	1	2	yes	—
431	C₄×D₄	C₂×C₄×C₇	1	2	yes	—
432	C₄×D₄	C₂×C₄×C₇	1	2	yes	—
433	C₄×D₄	C₂³×C₇	1	4	yes	—
434	C₄×D₄	C₂³×C₇	1	4	yes	—
435	C₄×D₄	C₂³×C₇	1	2	yes	—
436	C₄×D₄	C₂³×C₇	1	2	yes	—
437	#117	C₂×C₄×C₇	1	2	yes	—
438	#117	C₂×C₄×C₇	1	2	yes	—
439	#117	C₂×C₄×C₇	1	4	yes	—
440	#117	C₂×C₄×C₇	1	4	yes	—
441	#117	C₂³×C₇	1	2	yes	—
442	#117	C₂³×C₇	1	4	yes	—
443	C₂×C₄²	C₂×C₄×C₇	1	1	yes	characteristic
444	C₂×C₄²	C₂×C₄×C₇	1	1	yes	characteristic
445	C₂×C₄²	C₂×C₄×C₇	1	1	yes	characteristic
446	C₂×C₄²	C₂×C₄×C₇	1	1	yes	characteristic
447	C₂×C₄²	C₂×C₄×C₇	1	1	yes	characteristic
448	C₂×C₄²	C₂×C₄×C₇	1	1	yes	characteristic
449	C₂×C₄²	C₂³×C₇	1	4	yes	—
450	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
451	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
452	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
453	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
454	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
455	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
456	C₄⋊C₈	C₂³×C₇	1	2	yes	—
457	C₄⋊C₈	C₂³×C₇	1	4	yes	—
458	C₄⋊C₈	C₂³×C₇	1	4	yes	—
459	C₄⋊C₈	C₂³×C₇	1	4	yes	—
460	C₄⋊C₈	C₂³×C₇	1	4	yes	—
461	C₄⋊C₈	C₂³×C₇	1	2	yes	—
462	C₄⋊C₈	C₂³×C₇	1	2	yes	—
463	C₄⋊C₈	C₂³×C₇	1	2	yes	—
464	C₄⋊C₈	C₂³×C₇	1	8	yes	—
465	C₄⋊C₈	C₂³×C₇	1	8	yes	—
466	C₂²⋊C₈	C₂³×C₇	1	4	yes	—
467	C₂²⋊C₈	C₂³×C₇	1	4	yes	—
468	C₂²⋊C₈	C₂³×C₇	1	8	yes	—
469	C₂²⋊C₈	C₂³×C₇	1	8	yes	—
470	#97	C₂³×C₇	1	4	yes	—
471	#97	C₂³×C₇	1	4	yes	—
472	#97	C₂³×C₇	1	8	yes	—
473	C₄×C₈	C₂³×C₇	1	8	yes	—
474	C₂²×C₇	—	2	1	no	—
475	C₂²×C₇	—	2	1	no	—
476	C₂²×C₇	—	2	1	no	—
477	C₂²×C₇	—	2	1	no	—
478	C₂²×C₇	—	2	1	no	—
479	C₂²×C₇	—	2	4	no	—
480	C₂²×C₇	—	2	1	no	—
481	C₂²×C₇	—	2	4	no	—
482	C₂²×C₇	—	2	1	no	—
483	C₂²×C₇	—	2	4	no	—
484	C₂²×C₇	—	4	4	no	—
485	C₂²×C₇	#520	1	2	yes	—
486	C₂²×C₇	#568	1	2	yes	—
487	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
488	C₄×C₇	—	2	1	no	—
489	C₄×C₇	—	2	1	no	—
490	C₄×C₇	—	2	4	no	—
491	C₄×C₇	—	2	1	no	—
492	C₄×C₇	—	2	1	no	—
493	C₄×C₇	—	2	1	no	—
494	C₄×C₇	—	2	1	no	—
495	C₄×C₇	—	2	1	no	—
496	C₄×C₇	—	2	1	no	—
497	C₄×C₇	—	2	1	no	—
498	C₄×C₇	—	2	4	no	—
499	C₄×C₇	—	2	4	no	—
500	C₄×C₇	#520	1	2	yes	—
501	C₄×C₇	#568	1	2	yes	—
502	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
503	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
504	C₂⁴	C₂²×C₄×C₇	1	1	yes	characteristic
505	#41	—	2	4	no	—
506	#41	—	2	4	no	—
507	#41	—	4	4	no	—
508	#41	—	4	4	no	—
509	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
510	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
511	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
512	C₂×D₄	C₂²×C₄×C₇	1	4	yes	—
513	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
514	C₂×D₄	C₂²×C₄×C₇	1	4	yes	—
515	C₂×D₄	C₂²×C₄×C₇	1	4	yes	—
516	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
517	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
518	C₂²×C₄	—	2	2	no	—
519	C₂²×C₄	—	2	2	no	—
520	C₂²×C₄	—	4	2	no	—
521	C₂²×C₄	—	4	2	no	—
522	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
523	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
524	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
525	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
526	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
527	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
528	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
529	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
530	C₂²×C₄	C₂²×C₄×C₇	1	4	yes	—
531	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
532	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
533	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
534	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
535	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
536	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
537	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
538	C₂²×C₄	C₂²×C₄×C₇	1	4	yes	—
539	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
540	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
541	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
542	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
543	M₁₆	—	2	8	no	—
544	M₁₆	—	4	4	no	—
545	M₁₆	—	4	8	no	—
546	C₂×C₈	—	2	4	no	—
547	C₂×C₈	—	2	4	no	—
548	C₂×C₈	—	4	4	no	—
549	C₂×C₈	—	4	8	no	—
550	C₂×C₈	C₂⁴×C₇	1	4	yes	—
551	C₂×C₈	C₂⁴×C₇	1	8	yes	—
552	C₂×C₈	C₂⁴×C₇	1	4	yes	—
553	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
554	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
555	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
556	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
557	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
558	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
559	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
560	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
561	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
562	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
563	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
564	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
565	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
566	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
567	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
568	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
569	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
570	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
571	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
572	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
573	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
574	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
575	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
576	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
577	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
578	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
579	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
580	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
581	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
582	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
583	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
584	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
585	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
586	C₄²	C₂²×C₄×C₇	1	4	yes	—
587	C₄²	C₂²×C₄×C₇	1	4	yes	—
588	C₄²	C₂⁴×C₇	1	4	yes	—
589	C₄²	C₂⁴×C₇	1	1	yes	characteristic
590	C₄²	C₂⁴×C₇	1	1	yes	characteristic
591	C₄²	C₂⁴×C₇	1	1	yes	characteristic
592	C₄²	C₂⁴×C₇	1	1	yes	characteristic
593	C₂×C₇	—	2	2	no	—
594	C₂×C₇	—	2	2	no	—
595	C₂×C₇	—	4	4	no	—
596	C₂×C₇	—	4	1	no	—
597	C₂×C₇	C₂×#520	1	1	yes	characteristic
598	C₂×C₇	C₂×#568	1	1	yes	characteristic
599	C₂×C₇	C₂×#568	1	1	yes	characteristic
600	C₂³	—	2	2	no	—
601	C₂³	—	2	2	no	—
602	C₂³	—	4	1	no	—
603	C₂³	C₂³×C₄×C₇	1	4	yes	—
604	C₂³	C₂³×C₄×C₇	1	1	yes	characteristic
605	C₂³	C₂³×C₄×C₇	1	1	yes	characteristic
606	C₂³	C₂³×C₄×C₇	1	1	yes	characteristic
607	Q₈	—	2	4	no	—
608	Q₈	—	4	2	no	—
609	Q₈	—	4	2	no	—
610	D₄	—	2	8	no	—
611	D₄	—	2	8	no	—
612	D₄	—	2	4	no	—
613	D₄	—	4	2	no	—
614	D₄	—	4	2	no	—
615	D₄	—	4	4	no	—
616	C₂×C₄	—	2	2	no	—
617	C₂×C₄	—	2	2	no	—
618	C₂×C₄	—	2	2	no	—
619	C₂×C₄	—	2	1	no	—
620	C₂×C₄	—	2	4	no	—
621	C₂×C₄	—	2	1	no	—
622	C₂×C₄	—	2	1	no	—
623	C₂×C₄	—	2	1	no	—
624	C₂×C₄	—	2	4	no	—
625	C₂×C₄	—	2	2	no	—
626	C₂×C₄	—	2	2	no	—
627	C₂×C₄	—	2	2	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	2	2	no	—
630	C₂×C₄	—	2	8	no	—
631	C₂×C₄	—	4	1	no	—
632	C₂×C₄	—	4	1	no	—
633	C₂×C₄	—	4	1	no	—
634	C₂×C₄	—	4	1	no	—
635	C₂×C₄	—	4	1	no	—
636	C₂×C₄	—	4	1	no	—
637	C₂×C₄	—	4	1	no	—
638	C₂×C₄	—	4	4	no	—
639	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
640	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
641	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
642	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
643	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
644	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
645	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
646	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
647	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
648	C₂×C₄	C₂³×C₄×C₇	1	4	yes	—
649	C₂×C₄	C₂³×C₄×C₇	1	4	yes	—
650	C₂×C₄	C₂³×C₄×C₇	1	4	yes	—
651	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
652	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
653	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
654	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
655	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
656	C₈	—	2	4	no	—
657	C₈	—	2	8	no	—
658	C₈	—	2	4	no	—
659	C₇	#60269	1	1	yes	characteristic, direct product factor, Sylow
660	C₂²	—	2	1	no	—
661	C₂²	—	2	1	no	—
662	C₂²	—	2	1	no	—
663	C₂²	—	2	1	no	—
664	C₂²	—	2	1	no	—
665	C₂²	—	2	4	no	—
666	C₂²	—	2	1	no	—
667	C₂²	—	2	4	no	—
668	C₂²	—	2	1	no	—
669	C₂²	—	2	4	no	—
670	C₂²	—	4	4	no	—
671	C₂²	C₇×#520	1	2	yes	—
672	C₂²	C₇×#568	1	2	yes	—
673	C₂²	C₂⁴×C₄×C₇	1	1	yes	characteristic
674	C₄	—	2	1	no	—
675	C₄	—	2	1	no	—
676	C₄	—	2	1	no	—
677	C₄	—	2	1	no	—
678	C₄	—	2	1	no	—
679	C₄	—	2	1	no	—
680	C₄	—	2	1	no	—
681	C₄	—	2	4	no	—
682	C₄	—	2	4	no	—
683	C₄	—	2	1	no	—
684	C₄	—	2	1	no	—
685	C₄	—	2	4	no	—
686	C₄	C₇×#520	1	2	yes	—
687	C₄	C₇×#568	1	2	yes	—
688	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
689	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
690	C₂	—	2	2	no	—
691	C₂	—	2	2	no	—
692	C₂	—	4	1	no	—
693	C₂	—	4	4	no	—
694	C₂	C₂×C₇×#520	1	1	yes	characteristic
695	C₂	C₂×C₇×#568	1	1	yes	characteristic
696	C₂	C₂×C₇×#568	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₇	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₇
Frattini, cosocle	C₂×C₄	C₂⁵×C₇
socle	C₂²×C₇	C₂⁴×C₄
prime radical	C₇×#3444	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₇×#2995	C₂	semidirect
3. C₇×#2992	C₂	semidirect
4. C₇×#2990	C₂	semidirect
5. C₇×#2989	C₂	semidirect
6. C₇×#2961	C₂	semidirect
7. C₇×#2933	C₂	semidirect
8. C₇×#2932	C₂	semidirect
9. C₇×#2925	C₂	semidirect
10. C₂×C₇×#432	C₂	semidirect
11. C₇×#2906	C₂	semidirect
12. C₂×C₇×#423	C₂	semidirect
34. C₇×#446	C₂²	semidirect
35. C₇×#446	C₂²	semidirect
39. C₇×#435	C₂²	semidirect
40. C₇×#435	C₂²	semidirect
42. C₇×#433	C₂²	semidirect
47. C₇×#432	C₂²	semidirect
48. C₇×#431	C₂²	semidirect
50. C₇×#424	C₂²	semidirect
55. C₇×#423	C₂²	semidirect
60. C₂×C₇×C₄⋊C₈	C₂²	semidirect
65. #60269	C₇	direct (N × H)
165. #2995	C₂×C₇	semidirect
166. #2992	C₂×C₇	semidirect
167. #2990	C₂×C₇	semidirect
168. #2989	C₂×C₇	semidirect
169. #2961	C₂×C₇	semidirect
170. #2933	C₂×C₇	semidirect
171. #2932	C₂×C₇	semidirect
172. #2925	C₂×C₇	semidirect
173. C₂×#432	C₂×C₇	semidirect
174. #2906	C₂×C₇	semidirect
175. C₂×#423	C₂×C₇	semidirect
286. #446	C₂²×C₇	semidirect
287. #446	C₂²×C₇	semidirect
291. #435	C₂²×C₇	semidirect
292. #435	C₂²×C₇	semidirect
294. #433	C₂²×C₇	semidirect
299. #432	C₂²×C₇	semidirect
300. #431	C₂²×C₇	semidirect
302. #424	C₂²×C₇	semidirect
307. #423	C₂²×C₇	semidirect
312. C₂×C₄⋊C₈	C₂²×C₇	semidirect
659. C₇	#60269	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×#3444	2
C₇×#2995	2
C₇×#2992	2
C₇×#2990	2
C₇×#2989	2
C₇×#2961	2
C₇×#2933	2
C₇×#2932	2
C₇×#2925	2
C₂×C₇×#432	2
C₇×#2906	2
C₂×C₇×#423	2
#60269	7

Subgroups — C7×#60269 #13237485

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60269 #13237485