Subgroups — C₇×#60270 #13237486

Order 1792.

1786 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3455	C₂	1	1	yes	maximal, characteristic
2	C₇×#2995	C₂	1	4	yes	maximal, complemented
3	C₇×#2994	C₂	1	4	yes	maximal, complemented
4	C₇×#2993	C₂	1	4	yes	maximal, complemented
5	C₇×#2992	C₂	1	4	yes	maximal, complemented
6	C₇×#2961	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#2960	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#2933	C₂	1	2	yes	maximal, complemented
9	C₇×#2933	C₂	1	2	yes	maximal, complemented
10	C₇×#2932	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#2931	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#2925	C₂	1	2	yes	maximal, complemented
13	C₂×C₇×#433	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2906	C₂	1	2	yes	maximal, complemented
15	C₇×#2905	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₇×#131	C₂²	1	2	yes	—
17	C₂×C₇×#131	C₂²	1	2	yes	—
18	C₂²×C₇×M₁₆	C₂²	1	2	yes	—
19	C₇×#542	C₄	1	2	yes	—
20	C₇×#542	C₄	1	2	yes	—
21	C₇×#541	C₄	1	2	yes	—
22	C₇×#540	C₄	1	2	yes	—
23	C₇×#539	C₄	1	2	yes	—
24	C₇×#539	C₄	1	2	yes	—
25	C₇×#538	C₄	1	2	yes	—
26	C₇×#538	C₄	1	2	yes	—
27	C₇×#533	C₂²	1	1	yes	characteristic
28	C₇×#532	C₂²	1	1	yes	characteristic
29	C₇×#529	C₂²	1	4	yes	—
30	C₇×#529	C₂²	1	4	yes	—
31	C₇×#525	C₂²	1	2	yes	—
32	C₄×C₇×#41	C₂²	1	2	yes	—
33	C₂×C₇×#117	C₂²	1	1	yes	characteristic
34	C₇×#446	C₂²	1	2	yes	complemented
35	C₇×#446	C₂²	1	2	yes	complemented
36	C₇×#446	C₂²	1	4	yes	complemented
37	C₇×#446	C₂²	1	4	yes	complemented
38	C₇×C₈×Q₈	C₂²	1	2	yes	complemented
39	C₇×C₈×Q₈	C₂²	1	2	yes	complemented
40	C₇×#436	C₂²	1	4	yes	—
41	C₇×#436	C₂²	1	4	yes	—
42	C₇×#436	C₂²	1	2	yes	complemented
43	C₇×#436	C₂²	1	2	yes	complemented
44	C₇×#435	C₂²	1	4	yes	—
45	C₇×#435	C₂²	1	4	yes	—
46	C₇×#435	C₂²	1	4	yes	—
47	C₇×#435	C₂²	1	4	yes	—
48	C₇×#435	C₂²	1	4	yes	complemented
49	C₇×#435	C₂²	1	4	yes	complemented
50	C₇×C₈×D₄	C₂²	1	4	yes	—
51	C₇×C₈×D₄	C₂²	1	4	yes	—
52	C₇×C₈×D₄	C₂²	1	2	yes	complemented
53	C₇×C₈×D₄	C₂²	1	2	yes	complemented
54	C₇×#433	C₂²	1	2	yes	—
55	C₇×#433	C₂²	1	2	yes	—
56	C₇×#433	C₂²	1	2	yes	—
57	C₇×#433	C₂²	1	2	yes	—
58	C₇×#433	C₂²	1	4	yes	complemented
59	C₇×#433	C₂²	1	4	yes	complemented
60	C₇×#432	C₂²	1	4	yes	complemented
61	C₇×#431	C₂²	1	4	yes	complemented
62	C₇×#424	C₂²	1	4	yes	—
63	C₇×#424	C₂²	1	4	yes	—
64	C₇×#424	C₂²	1	2	yes	—
65	C₇×#424	C₂²	1	2	yes	—
66	C₇×#424	C₂²	1	4	yes	complemented
67	C₇×#424	C₂²	1	4	yes	complemented
68	C₇×#423	C₂²	1	2	yes	—
69	C₇×#423	C₂²	1	1	yes	characteristic
70	C₇×#423	C₂²	1	1	yes	characteristic
71	C₇×#423	C₂²	1	4	yes	complemented
72	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
73	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
74	C₂×C₇×C₄⋊C₈	C₂²	1	4	yes	complemented
75	C₇×#408	C₂²	1	2	yes	—
76	C₇×#408	C₂²	1	2	yes	—
77	C₂×C₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
78	C₂×C₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
79	C₇×#405	C₂²	1	2	yes	—
80	C₇×#405	C₂²	1	2	yes	—
81	C₂×C₇×#97	C₂²	1	1	yes	characteristic
82	C₂×C₄×C₇×C₈	C₂²	1	1	yes	characteristic
83	#60270	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
84	C₂×C₇×#41	C₂³	1	2	yes	—
85	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
86	C₇×#131	—	4	4	no	—
87	C₇×#131	—	4	4	no	—
88	C₂×C₇×M₁₆	—	4	4	no	—
89	C₂×C₇×M₁₆	C₂³	1	2	yes	—
90	C₂×C₇×M₁₆	C₂³	1	2	yes	—
91	C₂×C₇×M₁₆	C₂³	1	4	yes	—
92	C₂×C₇×M₁₆	C₂³	1	4	yes	—
93	C₂×C₇×M₁₆	C₂³	1	4	yes	—
94	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
95	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
96	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
97	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
98	C₂²×C₇×C₈	C₂³	1	4	yes	—
99	C₂²×C₇×C₈	C₂³	1	4	yes	—
100	C₂²×C₇×C₈	C₂³	1	4	yes	—
101	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
102	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
103	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
104	C₇×#127	C₂×C₄	1	1	yes	characteristic
105	C₇×#126	C₂×C₄	1	4	yes	—
106	C₇×#126	C₂×C₄	1	4	yes	—
107	C₇×#126	C₂×C₄	1	4	yes	—
108	C₇×#126	C₂×C₄	1	4	yes	—
109	C₇×#125	C₂×C₄	1	4	yes	—
110	C₇×#125	C₂×C₄	1	4	yes	—
111	C₇×#125	C₂×C₄	1	2	yes	—
112	C₇×#124	C₂×C₄	1	4	yes	—
113	C₇×#124	C₂×C₄	1	4	yes	—
114	C₇×#124	C₂×C₄	1	2	yes	—
115	C₇×#123	C₂×C₄	1	4	yes	—
116	C₇×#123	C₂×C₄	1	4	yes	—
117	C₇×#123	C₂×C₄	1	4	yes	—
118	C₇×#123	C₂×C₄	1	4	yes	—
119	C₇×#123	C₂×C₄	1	4	yes	—
120	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
121	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
122	C₇×C₂²⋊Q₈	C₂×C₄	1	4	yes	—
123	C₇×C₂²⋊Q₈	C₂×C₄	1	4	yes	—
124	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
125	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
126	C₇×#121	C₂×C₄	1	2	yes	—
127	C₇×#121	C₂×C₄	1	2	yes	—
128	C₇×#121	C₂×C₄	1	4	yes	—
129	C₇×#121	C₂×C₄	1	4	yes	—
130	C₇×#121	C₂×C₄	1	2	yes	—
131	C₇×#121	C₂×C₄	1	2	yes	—
132	C₇×#120	C₂×C₄	1	4	yes	—
133	C₄×C₇×Q₈	C₂×C₄	1	2	yes	—
134	C₄×C₇×Q₈	C₂×C₄	1	2	yes	—
135	C₄×C₇×Q₈	C₂³	1	2	yes	—
136	C₄×C₇×Q₈	C₂³	1	2	yes	—
137	C₄×C₇×D₄	C₂×C₄	1	4	yes	—
138	C₄×C₇×D₄	C₂×C₄	1	4	yes	—
139	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
140	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
141	C₄×C₇×D₄	C₂³	1	4	yes	—
142	C₄×C₇×D₄	C₂³	1	4	yes	—
143	C₄×C₇×D₄	C₂³	1	2	yes	—
144	C₄×C₇×D₄	C₂³	1	2	yes	—
145	C₇×#117	C₂×C₄	1	2	yes	—
146	C₇×#117	C₂×C₄	1	2	yes	—
147	C₇×#117	C₂³	1	2	yes	—
148	C₇×#117	C₂³	1	2	yes	—
149	C₇×#117	C₂³	1	2	yes	—
150	C₇×#117	C₂³	1	4	yes	—
151	C₂×C₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
152	C₂×C₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
153	C₂×C₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
154	C₂×C₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
155	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
156	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
157	C₂×C₄²×C₇	C₂³	1	4	yes	—
158	C₇×C₄⋊C₈	C₂³	1	2	yes	—
159	C₇×C₄⋊C₈	C₂³	1	2	yes	—
160	C₇×C₄⋊C₈	C₂³	1	2	yes	—
161	C₇×C₄⋊C₈	C₂³	1	2	yes	—
162	C₇×C₄⋊C₈	C₂³	1	4	yes	—
163	C₇×C₄⋊C₈	C₂³	1	4	yes	—
164	C₇×C₄⋊C₈	C₂³	1	4	yes	—
165	C₇×C₄⋊C₈	C₂³	1	4	yes	—
166	C₇×C₄⋊C₈	C₂³	1	2	yes	—
167	C₇×C₄⋊C₈	C₂³	1	2	yes	—
168	C₇×C₄⋊C₈	C₂³	1	2	yes	—
169	C₇×C₄⋊C₈	C₂³	1	2	yes	—
170	C₇×C₄⋊C₈	C₂³	1	4	yes	—
171	C₇×C₄⋊C₈	C₂³	1	4	yes	—
172	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
173	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
174	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
175	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
176	C₇×C₂²⋊C₈	C₂³	1	4	yes	—
177	C₇×C₂²⋊C₈	C₂³	1	4	yes	—
178	C₇×C₂²⋊C₈	C₂³	1	4	yes	—
179	C₇×C₂²⋊C₈	C₂³	1	4	yes	—
180	C₇×#97	C₂³	1	2	yes	—
181	C₇×#97	C₂³	1	2	yes	—
182	C₇×#97	C₂³	1	4	yes	—
183	C₇×#97	C₂³	1	4	yes	—
184	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
185	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
186	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
187	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
188	C₄×C₇×C₈	C₂³	1	4	yes	—
189	C₄×C₇×C₈	C₂³	1	4	yes	—
190	#3455	C₂×C₇	1	1	yes	characteristic
191	#2995	C₂×C₇	1	4	yes	complemented
192	#2994	C₂×C₇	1	4	yes	complemented
193	#2993	C₂×C₇	1	4	yes	complemented
194	#2992	C₂×C₇	1	4	yes	complemented
195	#2961	C₂×C₇	1	1	yes	characteristic, complemented
196	#2960	C₂×C₇	1	1	yes	characteristic, complemented
197	#2933	C₂×C₇	1	2	yes	complemented
198	#2933	C₂×C₇	1	2	yes	complemented
199	#2932	C₂×C₇	1	1	yes	characteristic, complemented
200	#2931	C₂×C₇	1	1	yes	characteristic, complemented
201	#2925	C₂×C₇	1	2	yes	complemented
202	C₂×#433	C₂×C₇	1	1	yes	characteristic, complemented
203	#2906	C₂×C₇	1	2	yes	complemented
204	#2905	C₂×C₇	1	1	yes	characteristic, complemented
205	C₂⁴×C₇	C₂²×C₄	1	1	yes	characteristic
206	C₇×#41	—	2	4	no	—
207	C₇×#41	—	2	4	no	—
208	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
209	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
210	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
211	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
212	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
213	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
214	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
215	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
216	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
217	C₂²×C₄×C₇	—	2	2	no	—
218	C₂²×C₄×C₇	—	2	2	no	—
219	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
220	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
221	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
222	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
223	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
224	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
225	C₂²×C₄×C₇	C₂²×C₄	1	4	yes	—
226	C₂²×C₄×C₇	C₂²×C₄	1	4	yes	—
227	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
228	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
229	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
230	C₇×M₁₆	—	2	4	no	—
231	C₇×M₁₆	—	2	4	no	—
232	C₇×M₁₆	—	4	4	no	—
233	C₇×M₁₆	—	4	4	no	—
234	C₇×M₁₆	—	4	4	no	—
235	C₂×C₇×C₈	—	2	2	no	—
236	C₂×C₇×C₈	—	2	2	no	—
237	C₂×C₇×C₈	—	2	2	no	—
238	C₂×C₇×C₈	—	2	2	no	—
239	C₂×C₇×C₈	—	4	4	no	—
240	C₂×C₇×C₈	—	4	4	no	—
241	C₂×C₇×C₈	—	4	4	no	—
242	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
243	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
244	C₂×C₇×C₈	C₂⁴	1	2	yes	—
245	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
246	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
247	C₂×C₇×C₈	C₂⁴	1	4	yes	—
248	C₂×C₇×C₈	C₂⁴	1	4	yes	—
249	C₂×C₇×C₈	C₂⁴	1	2	yes	—
250	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
251	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
252	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
253	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
254	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
255	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
256	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
257	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
258	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
259	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
260	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
261	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
262	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
263	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
264	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
265	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
266	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
267	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
268	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
269	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
270	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
271	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
272	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
273	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
274	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
275	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
276	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
277	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
278	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
279	C₄²×C₇	C₂²×C₄	1	2	yes	—
280	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
281	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
282	C₄²×C₇	C₂²×C₄	1	4	yes	—
283	C₄²×C₇	C₂²×C₄	1	4	yes	—
284	C₄²×C₇	C₂⁴	1	1	yes	characteristic
285	C₄²×C₇	C₂⁴	1	1	yes	characteristic
286	C₄²×C₇	C₂⁴	1	4	yes	—
287	C₄²×C₇	C₂⁴	1	2	yes	—
288	C₂×#131	C₂²×C₇	1	2	yes	—
289	C₂×#131	C₂²×C₇	1	2	yes	—
290	C₂²×M₁₆	C₂²×C₇	1	2	yes	—
291	#542	C₄×C₇	1	2	yes	—
292	#542	C₄×C₇	1	2	yes	—
293	#541	C₄×C₇	1	2	yes	—
294	#540	C₄×C₇	1	2	yes	—
295	#539	C₄×C₇	1	2	yes	—
296	#539	C₄×C₇	1	2	yes	—
297	#538	C₄×C₇	1	2	yes	—
298	#538	C₄×C₇	1	2	yes	—
299	#533	C₂²×C₇	1	1	yes	characteristic
300	#532	C₂²×C₇	1	1	yes	characteristic
301	#529	C₂²×C₇	1	4	yes	—
302	#529	C₂²×C₇	1	4	yes	—
303	#525	C₂²×C₇	1	2	yes	—
304	C₄×#41	C₂²×C₇	1	2	yes	—
305	C₂×#117	C₂²×C₇	1	1	yes	characteristic
306	#446	C₂²×C₇	1	2	yes	complemented
307	#446	C₂²×C₇	1	2	yes	complemented
308	#446	C₂²×C₇	1	4	yes	complemented
309	#446	C₂²×C₇	1	4	yes	complemented
310	C₈×Q₈	C₂²×C₇	1	2	yes	complemented
311	C₈×Q₈	C₂²×C₇	1	2	yes	complemented
312	#436	C₂²×C₇	1	4	yes	—
313	#436	C₂²×C₇	1	4	yes	—
314	#436	C₂²×C₇	1	2	yes	complemented
315	#436	C₂²×C₇	1	2	yes	complemented
316	#435	C₂²×C₇	1	4	yes	—
317	#435	C₂²×C₇	1	4	yes	—
318	#435	C₂²×C₇	1	4	yes	—
319	#435	C₂²×C₇	1	4	yes	—
320	#435	C₂²×C₇	1	4	yes	complemented
321	#435	C₂²×C₇	1	4	yes	complemented
322	C₈×D₄	C₂²×C₇	1	4	yes	—
323	C₈×D₄	C₂²×C₇	1	4	yes	—
324	C₈×D₄	C₂²×C₇	1	2	yes	complemented
325	C₈×D₄	C₂²×C₇	1	2	yes	complemented
326	#433	C₂²×C₇	1	2	yes	—
327	#433	C₂²×C₇	1	2	yes	—
328	#433	C₂²×C₇	1	2	yes	—
329	#433	C₂²×C₇	1	2	yes	—
330	#433	C₂²×C₇	1	4	yes	complemented
331	#433	C₂²×C₇	1	4	yes	complemented
332	#432	C₂²×C₇	1	4	yes	complemented
333	#431	C₂²×C₇	1	4	yes	complemented
334	#424	C₂²×C₇	1	4	yes	—
335	#424	C₂²×C₇	1	4	yes	—
336	#424	C₂²×C₇	1	2	yes	—
337	#424	C₂²×C₇	1	2	yes	—
338	#424	C₂²×C₇	1	4	yes	complemented
339	#424	C₂²×C₇	1	4	yes	complemented
340	#423	C₂²×C₇	1	2	yes	—
341	#423	C₂²×C₇	1	1	yes	characteristic
342	#423	C₂²×C₇	1	1	yes	characteristic
343	#423	C₂²×C₇	1	4	yes	complemented
344	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic
345	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic
346	C₂×C₄⋊C₈	C₂²×C₇	1	4	yes	complemented
347	#408	C₂²×C₇	1	2	yes	—
348	#408	C₂²×C₇	1	2	yes	—
349	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic
350	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic
351	#405	C₂²×C₇	1	2	yes	—
352	#405	C₂²×C₇	1	2	yes	—
353	C₂×#97	C₂²×C₇	1	1	yes	characteristic
354	C₂×C₄×C₈	C₂²×C₇	1	1	yes	characteristic
355	C₂³×C₇	—	2	2	no	—
356	C₂³×C₇	—	4	1	no	—
357	C₂³×C₇	—	4	1	no	—
358	C₂³×C₇	C₂³×C₄	1	2	yes	—
359	C₂³×C₇	C₂³×C₄	1	4	yes	—
360	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
361	C₇×Q₈	—	2	4	no	—
362	C₇×Q₈	—	4	2	no	—
363	C₇×Q₈	—	4	2	no	—
364	C₇×D₄	—	2	8	no	—
365	C₇×D₄	—	2	4	no	—
366	C₇×D₄	—	4	2	no	—
367	C₇×D₄	—	4	2	no	—
368	C₇×D₄	—	4	4	no	—
369	C₇×D₄	—	4	4	no	—
370	C₂×C₄×C₇	—	2	2	no	—
371	C₂×C₄×C₇	—	2	4	no	—
372	C₂×C₄×C₇	—	2	2	no	—
373	C₂×C₄×C₇	—	2	4	no	—
374	C₂×C₄×C₇	—	2	2	no	—
375	C₂×C₄×C₇	—	2	4	no	—
376	C₂×C₄×C₇	—	4	1	no	—
377	C₂×C₄×C₇	—	4	1	no	—
378	C₂×C₄×C₇	—	4	4	no	—
379	C₂×C₄×C₇	—	4	4	no	—
380	C₂×C₄×C₇	—	4	1	no	—
381	C₂×C₄×C₇	—	4	1	no	—
382	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
383	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
384	C₂×C₄×C₇	C₂³×C₄	1	4	yes	—
385	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
386	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
387	C₂×C₄×C₇	C₂³×C₄	1	4	yes	—
388	C₂×C₄×C₇	C₂³×C₄	1	4	yes	—
389	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
390	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
391	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
392	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
393	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
394	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
395	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
396	C₇×C₈	—	2	1	no	—
397	C₇×C₈	—	2	2	no	—
398	C₇×C₈	—	2	1	no	—
399	C₇×C₈	—	2	4	no	—
400	C₇×C₈	—	2	4	no	—
401	C₇×C₈	—	2	1	no	—
402	C₇×C₈	—	2	1	no	—
403	C₇×C₈	—	2	2	no	—
404	C₂×#41	C₂³×C₇	1	2	yes	—
405	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
406	#131	—	4	4	no	—
407	#131	—	4	4	no	—
408	C₂×M₁₆	—	4	4	no	—
409	C₂×M₁₆	C₂³×C₇	1	2	yes	—
410	C₂×M₁₆	C₂³×C₇	1	2	yes	—
411	C₂×M₁₆	C₂³×C₇	1	4	yes	—
412	C₂×M₁₆	C₂³×C₇	1	4	yes	—
413	C₂×M₁₆	C₂³×C₇	1	4	yes	—
414	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
415	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
416	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
417	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
418	C₂²×C₈	C₂³×C₇	1	4	yes	—
419	C₂²×C₈	C₂³×C₇	1	4	yes	—
420	C₂²×C₈	C₂³×C₇	1	4	yes	—
421	C₄⋊Q₈	C₂×C₄×C₇	1	1	yes	characteristic
422	C₄⋊Q₈	C₂×C₄×C₇	1	1	yes	characteristic
423	C₄⋊Q₈	C₂×C₄×C₇	1	1	yes	characteristic
424	#127	C₂×C₄×C₇	1	1	yes	characteristic
425	#126	C₂×C₄×C₇	1	4	yes	—
426	#126	C₂×C₄×C₇	1	4	yes	—
427	#126	C₂×C₄×C₇	1	4	yes	—
428	#126	C₂×C₄×C₇	1	4	yes	—
429	#125	C₂×C₄×C₇	1	4	yes	—
430	#125	C₂×C₄×C₇	1	4	yes	—
431	#125	C₂×C₄×C₇	1	2	yes	—
432	#124	C₂×C₄×C₇	1	4	yes	—
433	#124	C₂×C₄×C₇	1	4	yes	—
434	#124	C₂×C₄×C₇	1	2	yes	—
435	#123	C₂×C₄×C₇	1	4	yes	—
436	#123	C₂×C₄×C₇	1	4	yes	—
437	#123	C₂×C₄×C₇	1	4	yes	—
438	#123	C₂×C₄×C₇	1	4	yes	—
439	#123	C₂×C₄×C₇	1	4	yes	—
440	C₂²⋊Q₈	C₂×C₄×C₇	1	2	yes	—
441	C₂²⋊Q₈	C₂×C₄×C₇	1	2	yes	—
442	C₂²⋊Q₈	C₂×C₄×C₇	1	4	yes	—
443	C₂²⋊Q₈	C₂×C₄×C₇	1	4	yes	—
444	C₂²⋊Q₈	C₂×C₄×C₇	1	2	yes	—
445	C₂²⋊Q₈	C₂×C₄×C₇	1	2	yes	—
446	#121	C₂×C₄×C₇	1	2	yes	—
447	#121	C₂×C₄×C₇	1	2	yes	—
448	#121	C₂×C₄×C₇	1	4	yes	—
449	#121	C₂×C₄×C₇	1	4	yes	—
450	#121	C₂×C₄×C₇	1	2	yes	—
451	#121	C₂×C₄×C₇	1	2	yes	—
452	#120	C₂×C₄×C₇	1	4	yes	—
453	C₄×Q₈	C₂×C₄×C₇	1	2	yes	—
454	C₄×Q₈	C₂×C₄×C₇	1	2	yes	—
455	C₄×Q₈	C₂³×C₇	1	2	yes	—
456	C₄×Q₈	C₂³×C₇	1	2	yes	—
457	C₄×D₄	C₂×C₄×C₇	1	4	yes	—
458	C₄×D₄	C₂×C₄×C₇	1	4	yes	—
459	C₄×D₄	C₂×C₄×C₇	1	2	yes	—
460	C₄×D₄	C₂×C₄×C₇	1	2	yes	—
461	C₄×D₄	C₂³×C₇	1	4	yes	—
462	C₄×D₄	C₂³×C₇	1	4	yes	—
463	C₄×D₄	C₂³×C₇	1	2	yes	—
464	C₄×D₄	C₂³×C₇	1	2	yes	—
465	#117	C₂×C₄×C₇	1	2	yes	—
466	#117	C₂×C₄×C₇	1	2	yes	—
467	#117	C₂³×C₇	1	2	yes	—
468	#117	C₂³×C₇	1	2	yes	—
469	#117	C₂³×C₇	1	2	yes	—
470	#117	C₂³×C₇	1	4	yes	—
471	C₂×C₄⋊C₄	C₂×C₄×C₇	1	1	yes	characteristic
472	C₂×C₄⋊C₄	C₂×C₄×C₇	1	1	yes	characteristic
473	C₂×C₂²⋊C₄	C₂×C₄×C₇	1	1	yes	characteristic
474	C₂×C₂²⋊C₄	C₂×C₄×C₇	1	1	yes	characteristic
475	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
476	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
477	C₂×C₄²	C₂³×C₇	1	4	yes	—
478	C₄⋊C₈	C₂³×C₇	1	2	yes	—
479	C₄⋊C₈	C₂³×C₇	1	2	yes	—
480	C₄⋊C₈	C₂³×C₇	1	2	yes	—
481	C₄⋊C₈	C₂³×C₇	1	2	yes	—
482	C₄⋊C₈	C₂³×C₇	1	4	yes	—
483	C₄⋊C₈	C₂³×C₇	1	4	yes	—
484	C₄⋊C₈	C₂³×C₇	1	4	yes	—
485	C₄⋊C₈	C₂³×C₇	1	4	yes	—
486	C₄⋊C₈	C₂³×C₇	1	2	yes	—
487	C₄⋊C₈	C₂³×C₇	1	2	yes	—
488	C₄⋊C₈	C₂³×C₇	1	2	yes	—
489	C₄⋊C₈	C₂³×C₇	1	2	yes	—
490	C₄⋊C₈	C₂³×C₇	1	4	yes	—
491	C₄⋊C₈	C₂³×C₇	1	4	yes	—
492	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
493	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
494	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
495	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
496	C₂²⋊C₈	C₂³×C₇	1	4	yes	—
497	C₂²⋊C₈	C₂³×C₇	1	4	yes	—
498	C₂²⋊C₈	C₂³×C₇	1	4	yes	—
499	C₂²⋊C₈	C₂³×C₇	1	4	yes	—
500	#97	C₂³×C₇	1	2	yes	—
501	#97	C₂³×C₇	1	2	yes	—
502	#97	C₂³×C₇	1	4	yes	—
503	#97	C₂³×C₇	1	4	yes	—
504	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
505	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
506	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
507	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
508	C₄×C₈	C₂³×C₇	1	4	yes	—
509	C₄×C₈	C₂³×C₇	1	4	yes	—
510	C₂²×C₇	—	2	1	no	—
511	C₂²×C₇	—	2	1	no	—
512	C₂²×C₇	—	2	2	no	—
513	C₂²×C₇	—	2	4	no	—
514	C₂²×C₇	—	2	4	no	—
515	C₂²×C₇	—	2	4	no	—
516	C₂²×C₇	—	2	2	no	—
517	C₂²×C₇	—	2	2	no	—
518	C₂²×C₇	—	8	2	no	—
519	C₂²×C₇	#520	1	2	yes	—
520	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
521	C₄×C₇	—	2	2	no	—
522	C₄×C₇	—	2	4	no	—
523	C₄×C₇	—	2	2	no	—
524	C₄×C₇	—	2	2	no	—
525	C₄×C₇	—	2	1	no	—
526	C₄×C₇	—	2	1	no	—
527	C₄×C₇	—	2	4	no	—
528	C₄×C₇	—	2	4	no	—
529	C₄×C₇	—	2	1	no	—
530	C₄×C₇	—	2	1	no	—
531	C₄×C₇	#520	1	2	yes	—
532	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
533	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
534	C₂⁴	C₂²×C₄×C₇	1	1	yes	characteristic
535	#41	—	2	4	no	—
536	#41	—	2	4	no	—
537	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
538	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
539	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
540	C₂×D₄	C₂²×C₄×C₇	1	4	yes	—
541	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
542	C₂×D₄	C₂²×C₄×C₇	1	4	yes	—
543	C₂×D₄	C₂²×C₄×C₇	1	4	yes	—
544	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
545	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
546	C₂²×C₄	—	2	2	no	—
547	C₂²×C₄	—	2	2	no	—
548	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
549	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
550	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
551	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
552	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
553	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
554	C₂²×C₄	C₂²×C₄×C₇	1	4	yes	—
555	C₂²×C₄	C₂²×C₄×C₇	1	4	yes	—
556	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
557	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
558	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
559	M₁₆	—	2	4	no	—
560	M₁₆	—	2	4	no	—
561	M₁₆	—	4	4	no	—
562	M₁₆	—	4	4	no	—
563	M₁₆	—	4	4	no	—
564	C₂×C₈	—	2	2	no	—
565	C₂×C₈	—	2	2	no	—
566	C₂×C₈	—	2	2	no	—
567	C₂×C₈	—	2	2	no	—
568	C₂×C₈	—	4	4	no	—
569	C₂×C₈	—	4	4	no	—
570	C₂×C₈	—	4	4	no	—
571	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
572	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
573	C₂×C₈	C₂⁴×C₇	1	2	yes	—
574	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
575	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
576	C₂×C₈	C₂⁴×C₇	1	4	yes	—
577	C₂×C₈	C₂⁴×C₇	1	4	yes	—
578	C₂×C₈	C₂⁴×C₇	1	2	yes	—
579	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
580	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
581	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
582	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
583	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
584	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
585	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
586	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
587	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
588	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
589	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
590	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
591	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
592	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
593	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
594	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
595	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
596	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
597	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
598	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
599	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
600	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
601	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
602	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
603	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
604	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
605	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
606	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
607	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
608	C₄²	C₂²×C₄×C₇	1	2	yes	—
609	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
610	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
611	C₄²	C₂²×C₄×C₇	1	4	yes	—
612	C₄²	C₂²×C₄×C₇	1	4	yes	—
613	C₄²	C₂⁴×C₇	1	1	yes	characteristic
614	C₄²	C₂⁴×C₇	1	1	yes	characteristic
615	C₄²	C₂⁴×C₇	1	4	yes	—
616	C₄²	C₂⁴×C₇	1	2	yes	—
617	C₂×C₇	—	2	2	no	—
618	C₂×C₇	—	4	4	no	—
619	C₂×C₇	—	4	2	no	—
620	C₂×C₇	C₂×#520	1	1	yes	characteristic
621	C₂×C₇	#3573	1	1	yes	characteristic
622	C₂×C₇	#3573	1	1	yes	characteristic
623	C₂³	—	2	2	no	—
624	C₂³	—	4	1	no	—
625	C₂³	—	4	1	no	—
626	C₂³	C₂³×C₄×C₇	1	2	yes	—
627	C₂³	C₂³×C₄×C₇	1	4	yes	—
628	C₂³	C₂³×C₄×C₇	1	1	yes	characteristic
629	Q₈	—	2	4	no	—
630	Q₈	—	4	2	no	—
631	Q₈	—	4	2	no	—
632	D₄	—	2	8	no	—
633	D₄	—	2	4	no	—
634	D₄	—	4	2	no	—
635	D₄	—	4	2	no	—
636	D₄	—	4	4	no	—
637	D₄	—	4	4	no	—
638	C₂×C₄	—	2	2	no	—
639	C₂×C₄	—	2	2	no	—
640	C₂×C₄	—	2	4	no	—
641	C₂×C₄	—	2	2	no	—
642	C₂×C₄	—	2	4	no	—
643	C₂×C₄	—	2	4	no	—
644	C₂×C₄	—	4	1	no	—
645	C₂×C₄	—	4	1	no	—
646	C₂×C₄	—	4	4	no	—
647	C₂×C₄	—	4	4	no	—
648	C₂×C₄	—	4	1	no	—
649	C₂×C₄	—	4	1	no	—
650	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
651	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
652	C₂×C₄	C₂³×C₄×C₇	1	4	yes	—
653	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
654	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
655	C₂×C₄	C₂³×C₄×C₇	1	4	yes	—
656	C₂×C₄	C₂³×C₄×C₇	1	4	yes	—
657	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
658	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
659	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
660	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
661	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
662	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
663	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
664	C₈	—	2	1	no	—
665	C₈	—	2	2	no	—
666	C₈	—	2	1	no	—
667	C₈	—	2	4	no	—
668	C₈	—	2	4	no	—
669	C₈	—	2	1	no	—
670	C₈	—	2	1	no	—
671	C₈	—	2	2	no	—
672	C₇	#60270	1	1	yes	characteristic, direct product factor, Sylow
673	C₂²	—	2	1	no	—
674	C₂²	—	2	1	no	—
675	C₂²	—	2	4	no	—
676	C₂²	—	2	4	no	—
677	C₂²	—	2	2	no	—
678	C₂²	—	2	2	no	—
679	C₂²	—	2	2	no	—
680	C₂²	—	2	4	no	—
681	C₂²	—	8	2	no	—
682	C₂²	C₇×#520	1	2	yes	—
683	C₂²	C₂⁴×C₄×C₇	1	1	yes	characteristic
684	C₄	—	2	2	no	—
685	C₄	—	2	2	no	—
686	C₄	—	2	1	no	—
687	C₄	—	2	1	no	—
688	C₄	—	2	4	no	—
689	C₄	—	2	4	no	—
690	C₄	—	2	1	no	—
691	C₄	—	2	1	no	—
692	C₄	—	2	2	no	—
693	C₄	—	2	4	no	—
694	C₄	C₇×#520	1	2	yes	—
695	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
696	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
697	C₂	—	2	2	no	—
698	C₂	—	4	2	no	—
699	C₂	—	4	4	no	—
700	C₂	C₂×C₇×#520	1	1	yes	characteristic
701	C₂	C₇×#3573	1	1	yes	characteristic
702	C₂	C₇×#3573	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×#3455	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×#2994	C₂	semidirect
4. C₇×#2993	C₂	semidirect
5. C₇×#2992	C₂	semidirect
6. C₇×#2961	C₂	semidirect
7. C₇×#2960	C₂	semidirect
8. C₇×#2933	C₂	semidirect
9. C₇×#2933	C₂	semidirect
10. C₇×#2932	C₂	semidirect
11. C₇×#2931	C₂	semidirect
12. C₇×#2925	C₂	semidirect
13. C₂×C₇×#433	C₂	semidirect
14. C₇×#2906	C₂	semidirect
15. C₇×#2905	C₂	semidirect
34. C₇×#446	C₂²	semidirect
35. C₇×#446	C₂²	semidirect
36. C₇×#446	C₂²	semidirect
37. C₇×#446	C₂²	semidirect
38. C₇×C₈×Q₈	C₂²	semidirect
39. C₇×C₈×Q₈	C₂²	semidirect
42. C₇×#436	C₂²	semidirect
43. C₇×#436	C₂²	semidirect
48. C₇×#435	C₂²	semidirect
49. C₇×#435	C₂²	semidirect
52. C₇×C₈×D₄	C₂²	semidirect
53. C₇×C₈×D₄	C₂²	semidirect
58. C₇×#433	C₂²	semidirect
59. C₇×#433	C₂²	semidirect
60. C₇×#432	C₂²	semidirect
61. C₇×#431	C₂²	semidirect
66. C₇×#424	C₂²	semidirect
67. C₇×#424	C₂²	semidirect
71. C₇×#423	C₂²	semidirect
74. C₂×C₇×C₄⋊C₈	C₂²	semidirect
83. #60270	C₇	direct (N × H)
191. #2995	C₂×C₇	semidirect
192. #2994	C₂×C₇	semidirect
193. #2993	C₂×C₇	semidirect
194. #2992	C₂×C₇	semidirect
195. #2961	C₂×C₇	semidirect
196. #2960	C₂×C₇	semidirect
197. #2933	C₂×C₇	semidirect
198. #2933	C₂×C₇	semidirect
199. #2932	C₂×C₇	semidirect
200. #2931	C₂×C₇	semidirect
201. #2925	C₂×C₇	semidirect
202. C₂×#433	C₂×C₇	semidirect
203. #2906	C₂×C₇	semidirect
204. #2905	C₂×C₇	semidirect
306. #446	C₂²×C₇	semidirect
307. #446	C₂²×C₇	semidirect
308. #446	C₂²×C₇	semidirect
309. #446	C₂²×C₇	semidirect
310. C₈×Q₈	C₂²×C₇	semidirect
311. C₈×Q₈	C₂²×C₇	semidirect
314. #436	C₂²×C₇	semidirect
315. #436	C₂²×C₇	semidirect
320. #435	C₂²×C₇	semidirect
321. #435	C₂²×C₇	semidirect
324. C₈×D₄	C₂²×C₇	semidirect
325. C₈×D₄	C₂²×C₇	semidirect
330. #433	C₂²×C₇	semidirect
331. #433	C₂²×C₇	semidirect
332. #432	C₂²×C₇	semidirect
333. #431	C₂²×C₇	semidirect
338. #424	C₂²×C₇	semidirect
339. #424	C₂²×C₇	semidirect
343. #423	C₂²×C₇	semidirect
346. C₂×C₄⋊C₈	C₂²×C₇	semidirect
672. C₇	#60270	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×#3455	2
C₇×#2995	2
C₇×#2994	2
C₇×#2993	2
C₇×#2992	2
C₇×#2961	2
C₇×#2960	2
C₇×#2933	2
C₇×#2932	2
C₇×#2931	2
C₇×#2925	2
C₂×C₇×#433	2
C₇×#2906	2
C₇×#2905	2
#60270	7

Subgroups — C7×#60270 #13237486

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60270 #13237486