Subgroups — C₄×C₇×#556 #13211382

Order 1792.

2340 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#556	C₂	1	1	yes	maximal, characteristic
2	C₇×#2373	C₂	1	4	yes	maximal, complemented
3	C₇×#2367	C₂	1	2	yes	maximal
4	C₇×#2365	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#2362	C₂	1	2	yes	maximal, complemented
6	C₇×#2356	C₂	1	2	yes	maximal, complemented
7	C₇×#2355	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#2354	C₂	1	1	yes	maximal, characteristic
9	C₇×#2347	C₂	1	2	yes	maximal, complemented
10	C₄×C₇×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄×C₇×#126	C₂	1	4	yes	maximal, complemented
12	C₄×C₇×#124	C₂	1	2	yes	maximal
13	C₄×C₇×C₂²⋊Q₈	C₂	1	2	yes	maximal, complemented
14	C₄²×C₇×Q₈	C₂	1	2	yes	maximal, complemented
15	C₄²×C₇×Q₈	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄²×C₇×D₄	C₂	1	1	yes	maximal, characteristic
17	C₄×C₇×#117	C₂	1	2	yes	maximal, complemented
18	C₇×#556	C₄	1	16	yes	direct product factor
19	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
20	C₂×C₇×#126	C₂²	1	4	yes	—
21	C₂×C₇×#124	C₂²	1	2	yes	—
22	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
23	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
24	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	—
25	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
26	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	—
27	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	—
29	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
30	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
31	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
32	C₂×C₇×#117	C₂²	1	2	yes	—
33	C₂×C₇×#117	C₂²	1	2	yes	—
34	C₂²×C₄²×C₇	C₂²	1	2	yes	—
35	C₇×#391	C₂²	1	2	yes	—
36	C₇×#391	C₂²	1	2	yes	—
37	C₇×#391	C₂²	1	2	yes	—
38	C₇×#390	C₂²	1	2	yes	—
39	C₇×#389	C₂²	1	2	yes	—
40	C₇×#389	C₂²	1	2	yes	—
41	C₇×#389	C₂²	1	2	yes	—
42	C₇×#388	C₂²	1	4	yes	—
43	C₇×#388	C₂²	1	4	yes	—
44	C₇×#388	C₂²	1	4	yes	—
45	C₇×#388	C₂²	1	4	yes	—
46	C₇×#388	C₂²	1	4	yes	—
47	C₇×#387	C₂²	1	4	yes	—
48	C₇×#387	C₂²	1	4	yes	—
49	C₇×#387	C₂²	1	4	yes	—
50	C₇×#387	C₂²	1	4	yes	—
51	C₇×#385	C₂²	1	4	yes	—
52	C₇×#384	C₂²	1	1	yes	characteristic
53	C₇×#383	C₂²	1	4	yes	—
54	C₇×#382	C₂²	1	2	yes	—
55	C₇×#380	C₂²	1	2	yes	—
56	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
57	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
58	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
59	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
60	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
61	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
62	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
63	C₄×C₇×C₄⋊C₄	C₂²	1	4	yes	—
64	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
65	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
66	C₄×C₇×C₄⋊C₄	C₂²	1	4	yes	—
67	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
68	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
69	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
70	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
71	C₄×C₇×C₄⋊C₄	C₂²	1	4	yes	—
72	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
73	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
74	C₄×C₇×C₂²⋊C₄	C₂²	1	4	yes	—
75	C₄×C₇×C₂²⋊C₄	C₂²	1	4	yes	—
76	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
77	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
78	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
79	C₄×C₇×C₂²⋊C₄	C₂²	1	4	yes	—
80	C₇×#376	C₂²	1	4	yes	—
81	C₄³×C₇	C₂²	1	4	yes	—
82	C₄³×C₇	C₂²	1	1	yes	characteristic
83	C₄³×C₇	C₂²	1	2	yes	—
84	C₄×#556	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
85	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
86	C₂²×C₇×Q₈	C₂³	1	2	yes	—
87	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
88	C₂³×C₄×C₇	C₂³	1	2	yes	—
89	C₂³×C₄×C₇	C₂³	1	2	yes	—
90	C₂³×C₄×C₇	C₂³	1	2	yes	—
91	C₇×C₄⋊Q₈	C₂×C₄	1	8	yes	complemented
92	C₇×#126	C₂×C₄	1	32	yes	complemented
93	C₇×#124	C₂×C₄	1	16	yes	—
94	C₇×C₂²⋊Q₈	C₂×C₄	1	16	yes	complemented
95	C₄×C₇×Q₈	—	2	4	no	—
96	C₄×C₇×Q₈	—	2	8	no	—
97	C₄×C₇×Q₈	—	2	4	no	—
98	C₄×C₇×Q₈	—	2	8	no	—
99	C₄×C₇×Q₈	C₂×C₄	1	16	yes	complemented
100	C₄×C₇×Q₈	C₂×C₄	1	8	yes	complemented
101	C₄×C₇×D₄	—	2	4	no	—
102	C₄×C₇×D₄	—	2	4	no	—
103	C₄×C₇×D₄	C₂×C₄	1	8	yes	—
104	C₇×#117	—	2	8	no	—
105	C₇×#117	C₂×C₄	1	16	yes	complemented
106	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
107	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
108	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
109	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
110	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
111	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
112	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
113	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
114	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
115	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
116	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
117	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
118	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
119	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
120	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
121	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
122	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
123	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
124	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
125	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
126	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
127	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
128	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
129	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
130	C₂×C₄²×C₇	—	2	8	no	—
131	C₂×C₄²×C₇	C₂³	1	4	yes	—
132	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
133	C₂×C₄²×C₇	C₂³	1	4	yes	—
134	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
135	C₂×C₄²×C₇	C₂³	1	2	yes	—
136	C₂×C₄²×C₇	C₂³	1	2	yes	—
137	C₂×C₄²×C₇	C₂³	1	2	yes	—
138	C₂×C₄²×C₇	C₂³	1	2	yes	—
139	C₂×C₄²×C₇	C₂³	1	2	yes	—
140	C₂×C₄²×C₇	C₂³	1	2	yes	—
141	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
142	C₂×C₄²×C₇	C₂³	1	4	yes	—
143	C₂×C₄²×C₇	C₂³	1	2	yes	—
144	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
145	C₂×C₄²×C₇	C₂³	1	4	yes	—
146	C₂×C₄²×C₇	C₂³	1	2	yes	—
147	C₂×C₄²×C₇	C₂³	1	4	yes	—
148	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
149	C₂×C₄²×C₇	C₂³	1	2	yes	—
150	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
151	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
152	C₇×#95	C₂³	1	2	yes	—
153	C₇×#95	C₂³	1	4	yes	—
154	C₇×#95	C₂³	1	4	yes	—
155	C₇×#95	C₂³	1	4	yes	—
156	C₇×#95	C₂³	1	2	yes	—
157	C₇×#95	C₂³	1	2	yes	—
158	C₇×#95	C₂³	1	2	yes	—
159	C₇×#95	C₂³	1	4	yes	—
160	C₇×#95	C₂³	1	4	yes	—
161	C₇×#95	C₂³	1	4	yes	—
162	C₇×#95	C₂³	1	2	yes	—
163	C₇×#95	C₂³	1	4	yes	—
164	C₇×#95	C₂³	1	2	yes	—
165	C₇×#95	C₂³	1	4	yes	—
166	C₂×#556	C₂×C₇	1	1	yes	characteristic
167	#2373	C₂×C₇	1	4	yes	complemented
168	#2367	C₂×C₇	1	2	yes	—
169	#2365	C₂×C₇	1	1	yes	characteristic, complemented
170	#2362	C₂×C₇	1	2	yes	complemented
171	#2356	C₂×C₇	1	2	yes	complemented
172	#2355	C₂×C₇	1	1	yes	characteristic, complemented
173	#2354	C₂×C₇	1	1	yes	characteristic
174	#2347	C₂×C₇	1	2	yes	complemented
175	C₄×C₄⋊Q₈	C₂×C₇	1	1	yes	characteristic, complemented
176	C₄×#126	C₂×C₇	1	4	yes	complemented
177	C₄×#124	C₂×C₇	1	2	yes	—
178	C₄×C₂²⋊Q₈	C₂×C₇	1	2	yes	complemented
179	C₄²×Q₈	C₂×C₇	1	2	yes	complemented
180	C₄²×Q₈	C₂×C₇	1	1	yes	characteristic, complemented
181	C₄²×D₄	C₂×C₇	1	1	yes	characteristic
182	C₄×#117	C₂×C₇	1	2	yes	complemented
183	C₂⁴×C₇	C₂⁴	1	2	yes	—
184	C₂×C₇×Q₈	—	2	4	no	—
185	C₂×C₇×Q₈	—	2	2	no	—
186	C₂×C₇×Q₈	—	2	2	no	—
187	C₂×C₇×Q₈	—	2	4	no	—
188	C₂×C₇×Q₈	C₂²×C₄	1	4	yes	—
189	C₂×C₇×Q₈	C₂²×C₄	1	8	yes	—
190	C₂×C₇×D₄	—	2	2	no	—
191	C₂×C₇×D₄	—	2	2	no	—
192	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
193	C₂²×C₄×C₇	—	2	4	no	—
194	C₂²×C₄×C₇	—	2	4	no	—
195	C₂²×C₄×C₇	—	2	4	no	—
196	C₂²×C₄×C₇	—	2	4	no	—
197	C₂²×C₄×C₇	—	2	4	no	—
198	C₂²×C₄×C₇	—	2	4	no	—
199	C₂²×C₄×C₇	—	2	4	no	—
200	C₂²×C₄×C₇	—	4	2	no	—
201	C₂²×C₄×C₇	C₂²×C₄	1	8	yes	—
202	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
203	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
204	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
205	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
206	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
207	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
208	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
209	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
210	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
211	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
212	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
213	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
214	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
215	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
216	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
217	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
218	C₇×C₄⋊C₄	—	2	4	no	—
219	C₇×C₄⋊C₄	—	2	2	no	—
220	C₇×C₄⋊C₄	—	2	4	no	—
221	C₇×C₄⋊C₄	—	2	4	no	—
222	C₇×C₄⋊C₄	—	2	8	no	—
223	C₇×C₄⋊C₄	—	2	8	no	—
224	C₇×C₄⋊C₄	—	2	2	no	—
225	C₇×C₄⋊C₄	—	2	4	no	—
226	C₇×C₄⋊C₄	—	4	2	no	—
227	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
228	C₇×C₄⋊C₄	C₂²×C₄	1	8	yes	—
229	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
230	C₇×C₄⋊C₄	C₂²×C₄	1	16	yes	—
231	C₇×C₄⋊C₄	C₂²×C₄	1	8	yes	—
232	C₇×C₄⋊C₄	C₂²×C₄	1	8	yes	—
233	C₇×C₄⋊C₄	#41	1	4	yes	—
234	C₇×C₄⋊C₄	#41	1	4	yes	—
235	C₇×C₂²⋊C₄	—	2	8	no	—
236	C₇×C₂²⋊C₄	—	2	4	no	—
237	C₇×C₂²⋊C₄	—	2	4	no	—
238	C₇×C₂²⋊C₄	—	4	4	no	—
239	C₇×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
240	C₇×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
241	C₇×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
242	C₄²×C₇	—	2	4	no	—
243	C₄²×C₇	—	2	4	no	—
244	C₄²×C₇	—	2	4	no	—
245	C₄²×C₇	—	2	8	no	—
246	C₄²×C₇	—	2	2	no	—
247	C₄²×C₇	—	2	4	no	—
248	C₄²×C₇	—	2	8	no	—
249	C₄²×C₇	—	2	4	no	—
250	C₄²×C₇	—	2	2	no	—
251	C₄²×C₇	—	2	4	no	—
252	C₄²×C₇	—	2	8	no	—
253	C₄²×C₇	—	2	4	no	—
254	C₄²×C₇	—	2	2	no	—
255	C₄²×C₇	—	4	2	no	—
256	C₄²×C₇	—	4	4	no	—
257	C₄²×C₇	—	4	1	no	—
258	C₄²×C₇	C₂²×C₄	1	16	yes	—
259	C₄²×C₇	C₂²×C₄	1	4	yes	—
260	C₄²×C₇	C₂²×C₄	1	8	yes	—
261	C₄²×C₇	#41	1	4	yes	—
262	C₄²×C₇	#41	1	4	yes	—
263	#556	C₄×C₇	1	16	yes	direct product factor
264	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic
265	C₂×#126	C₂²×C₇	1	4	yes	—
266	C₂×#124	C₂²×C₇	1	2	yes	—
267	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
268	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	—
269	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
270	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	—
271	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
272	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
273	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	—
274	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
275	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
276	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
277	C₂×#117	C₂²×C₇	1	2	yes	—
278	C₂×#117	C₂²×C₇	1	2	yes	—
279	C₂²×C₄²	C₂²×C₇	1	2	yes	—
280	#391	C₂²×C₇	1	2	yes	—
281	#391	C₂²×C₇	1	2	yes	—
282	#391	C₂²×C₇	1	2	yes	—
283	#390	C₂²×C₇	1	2	yes	—
284	#389	C₂²×C₇	1	2	yes	—
285	#389	C₂²×C₇	1	2	yes	—
286	#389	C₂²×C₇	1	2	yes	—
287	#388	C₂²×C₇	1	4	yes	—
288	#388	C₂²×C₇	1	4	yes	—
289	#388	C₂²×C₇	1	4	yes	—
290	#388	C₂²×C₇	1	4	yes	—
291	#388	C₂²×C₇	1	4	yes	—
292	#387	C₂²×C₇	1	4	yes	—
293	#387	C₂²×C₇	1	4	yes	—
294	#387	C₂²×C₇	1	4	yes	—
295	#387	C₂²×C₇	1	4	yes	—
296	#385	C₂²×C₇	1	4	yes	—
297	#384	C₂²×C₇	1	1	yes	characteristic
298	#383	C₂²×C₇	1	4	yes	—
299	#382	C₂²×C₇	1	2	yes	—
300	#380	C₂²×C₇	1	2	yes	—
301	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
302	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
303	C₄×C₄⋊C₄	C₂²×C₇	1	4	yes	—
304	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
305	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
306	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
307	C₄×C₄⋊C₄	C₂²×C₇	1	4	yes	—
308	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
309	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
310	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
311	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
312	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
313	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
314	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
315	C₄×C₄⋊C₄	C₂²×C₇	1	4	yes	—
316	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
317	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
318	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
319	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
320	C₄×C₂²⋊C₄	C₂²×C₇	1	4	yes	—
321	C₄×C₂²⋊C₄	C₂²×C₇	1	4	yes	—
322	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
323	C₄×C₂²⋊C₄	C₂²×C₇	1	4	yes	—
324	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
325	#376	C₂²×C₇	1	4	yes	—
326	C₄³	C₂²×C₇	1	4	yes	—
327	C₄³	C₂²×C₇	1	1	yes	characteristic
328	C₄³	C₂²×C₇	1	2	yes	—
329	C₂³×C₇	—	2	2	no	—
330	C₂³×C₇	—	2	2	no	—
331	C₂³×C₇	—	2	2	no	—
332	C₂³×C₇	—	2	2	no	—
333	C₂³×C₇	—	2	2	no	—
334	C₂³×C₇	—	2	2	no	—
335	C₂³×C₇	C₂³×C₄	1	4	yes	—
336	C₂³×C₇	C₂⁵	1	1	yes	characteristic
337	C₇×Q₈	—	2	8	no	—
338	C₇×Q₈	—	2	16	no	—
339	C₇×D₄	—	2	8	no	—
340	C₂×C₄×C₇	—	2	1	no	—
341	C₂×C₄×C₇	—	2	2	no	—
342	C₂×C₄×C₇	—	2	2	no	—
343	C₂×C₄×C₇	—	2	2	no	—
344	C₂×C₄×C₇	—	2	2	no	—
345	C₂×C₄×C₇	—	2	2	no	—
346	C₂×C₄×C₇	—	2	4	no	—
347	C₂×C₄×C₇	—	2	4	no	—
348	C₂×C₄×C₇	—	2	2	no	—
349	C₂×C₄×C₇	—	2	1	no	—
350	C₂×C₄×C₇	—	2	2	no	—
351	C₂×C₄×C₇	—	2	1	no	—
352	C₂×C₄×C₇	—	2	2	no	—
353	C₂×C₄×C₇	—	2	2	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	1	no	—
358	C₂×C₄×C₇	—	2	16	no	—
359	C₂×C₄×C₇	—	2	2	no	—
360	C₂×C₄×C₇	—	2	1	no	—
361	C₂×C₄×C₇	—	2	4	no	—
362	C₂×C₄×C₇	—	2	2	no	—
363	C₂×C₄×C₇	—	2	2	no	—
364	C₂×C₄×C₇	—	2	4	no	—
365	C₂×C₄×C₇	—	2	1	no	—
366	C₂×C₄×C₇	—	2	2	no	—
367	C₂×C₄×C₇	—	2	1	no	—
368	C₂×C₄×C₇	—	2	2	no	—
369	C₂×C₄×C₇	—	2	2	no	—
370	C₂×C₄×C₇	—	2	4	no	—
371	C₂×C₄×C₇	—	4	8	no	—
372	C₂×C₄×C₇	—	4	8	no	—
373	C₂×C₄×C₇	C₂³×C₄	1	4	yes	—
374	C₂×C₄×C₇	C₂³×C₄	1	4	yes	—
375	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
376	C₂×C₄×C₇	C₂³×C₄	1	8	yes	—
377	C₂×C₄×C₇	C₂³×C₄	1	4	yes	—
378	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
379	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
380	C₂×C₄×C₇	C₂×#41	1	4	yes	—
381	C₂×C₄×C₇	C₂×#41	1	2	yes	—
382	C₂×C₄×C₇	C₂×#41	1	4	yes	—
383	C₂×C₄×C₇	C₂×#41	1	2	yes	—
384	C₂×C₄×C₇	C₂×#41	1	2	yes	—
385	C₂×C₄×C₇	C₂×#41	1	2	yes	—
386	C₂×C₄×C₇	C₂×#41	1	2	yes	—
387	C₂×C₄×C₇	C₂×#41	1	2	yes	—
388	C₂×C₄×C₇	C₂×#41	1	2	yes	—
389	C₂×C₄×C₇	C₂×#41	1	2	yes	—
390	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
391	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
392	C₂²×Q₈	C₂³×C₇	1	2	yes	—
393	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
394	C₂³×C₄	C₂³×C₇	1	2	yes	—
395	C₂³×C₄	C₂³×C₇	1	2	yes	—
396	C₂³×C₄	C₂³×C₇	1	2	yes	—
397	C₄⋊Q₈	C₂×C₄×C₇	1	8	yes	complemented
398	#126	C₂×C₄×C₇	1	32	yes	complemented
399	#124	C₂×C₄×C₇	1	16	yes	—
400	C₂²⋊Q₈	C₂×C₄×C₇	1	16	yes	complemented
401	C₄×Q₈	—	2	4	no	—
402	C₄×Q₈	—	2	8	no	—
403	C₄×Q₈	—	2	4	no	—
404	C₄×Q₈	—	2	8	no	—
405	C₄×Q₈	C₂×C₄×C₇	1	16	yes	complemented
406	C₄×Q₈	C₂×C₄×C₇	1	8	yes	complemented
407	C₄×D₄	—	2	4	no	—
408	C₄×D₄	—	2	4	no	—
409	C₄×D₄	C₂×C₄×C₇	1	8	yes	—
410	#117	—	2	8	no	—
411	#117	C₂×C₄×C₇	1	16	yes	complemented
412	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
413	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
414	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
415	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
416	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
417	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
418	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
419	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
420	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
421	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
422	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
423	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
424	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
425	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
426	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
427	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
428	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
429	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
430	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
431	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
432	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
433	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
434	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
435	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
436	C₂×C₄²	—	2	8	no	—
437	C₂×C₄²	C₂³×C₇	1	4	yes	—
438	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
439	C₂×C₄²	C₂³×C₇	1	4	yes	—
440	C₂×C₄²	C₂³×C₇	1	2	yes	—
441	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
442	C₂×C₄²	C₂³×C₇	1	4	yes	—
443	C₂×C₄²	C₂³×C₇	1	2	yes	—
444	C₂×C₄²	C₂³×C₇	1	2	yes	—
445	C₂×C₄²	C₂³×C₇	1	2	yes	—
446	C₂×C₄²	C₂³×C₇	1	2	yes	—
447	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
448	C₂×C₄²	C₂³×C₇	1	2	yes	—
449	C₂×C₄²	C₂³×C₇	1	2	yes	—
450	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
451	C₂×C₄²	C₂³×C₇	1	4	yes	—
452	C₂×C₄²	C₂³×C₇	1	2	yes	—
453	C₂×C₄²	C₂³×C₇	1	4	yes	—
454	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
455	C₂×C₄²	C₂³×C₇	1	2	yes	—
456	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
457	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
458	#95	C₂³×C₇	1	2	yes	—
459	#95	C₂³×C₇	1	4	yes	—
460	#95	C₂³×C₇	1	4	yes	—
461	#95	C₂³×C₇	1	4	yes	—
462	#95	C₂³×C₇	1	2	yes	—
463	#95	C₂³×C₇	1	2	yes	—
464	#95	C₂³×C₇	1	2	yes	—
465	#95	C₂³×C₇	1	4	yes	—
466	#95	C₂³×C₇	1	4	yes	—
467	#95	C₂³×C₇	1	4	yes	—
468	#95	C₂³×C₇	1	2	yes	—
469	#95	C₂³×C₇	1	4	yes	—
470	#95	C₂³×C₇	1	2	yes	—
471	#95	C₂³×C₇	1	4	yes	—
472	C₂²×C₇	—	2	4	no	—
473	C₂²×C₇	—	2	4	no	—
474	C₂²×C₇	—	2	4	no	—
475	C₂²×C₇	—	4	2	no	—
476	C₂²×C₇	—	4	2	no	—
477	C₂²×C₇	—	4	2	no	—
478	C₂²×C₇	—	4	2	no	—
479	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
480	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
481	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
482	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
483	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
484	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
485	C₂²×C₇	#585	1	1	yes	characteristic
486	C₄×C₇	—	2	4	no	—
487	C₄×C₇	—	2	4	no	—
488	C₄×C₇	—	2	8	no	—
489	C₄×C₇	—	2	4	no	—
490	C₄×C₇	—	2	2	no	—
491	C₄×C₇	—	2	2	no	—
492	C₄×C₇	—	2	4	no	—
493	C₄×C₇	—	2	2	no	—
494	C₄×C₇	—	2	4	no	—
495	C₄×C₇	—	4	2	no	—
496	C₄×C₇	—	4	2	no	—
497	C₄×C₇	—	4	4	no	—
498	C₄×C₇	—	4	1	no	—
499	C₄×C₇	C₄×#41	1	4	yes	—
500	C₄×C₇	C₄×#41	1	4	yes	—
501	C₄×C₇	#556	1	4	yes	direct product factor
502	C₂⁴	C₂⁴×C₇	1	2	yes	—
503	C₂×Q₈	—	2	4	no	—
504	C₂×Q₈	—	2	2	no	—
505	C₂×Q₈	—	2	2	no	—
506	C₂×Q₈	—	2	4	no	—
507	C₂×Q₈	C₂²×C₄×C₇	1	4	yes	—
508	C₂×Q₈	C₂²×C₄×C₇	1	8	yes	—
509	C₂×D₄	—	2	2	no	—
510	C₂×D₄	—	2	2	no	—
511	C₂×D₄	C₂²×C₄×C₇	1	4	yes	—
512	C₂²×C₄	—	2	4	no	—
513	C₂²×C₄	—	2	4	no	—
514	C₂²×C₄	—	2	4	no	—
515	C₂²×C₄	—	2	4	no	—
516	C₂²×C₄	—	2	4	no	—
517	C₂²×C₄	—	2	4	no	—
518	C₂²×C₄	—	2	4	no	—
519	C₂²×C₄	—	4	2	no	—
520	C₂²×C₄	C₂²×C₄×C₇	1	8	yes	—
521	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
522	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
523	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
524	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
525	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
526	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
527	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
528	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
529	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
530	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
531	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
532	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
533	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
534	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
535	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
536	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
537	C₄⋊C₄	—	2	4	no	—
538	C₄⋊C₄	—	2	2	no	—
539	C₄⋊C₄	—	2	4	no	—
540	C₄⋊C₄	—	2	4	no	—
541	C₄⋊C₄	—	2	8	no	—
542	C₄⋊C₄	—	2	8	no	—
543	C₄⋊C₄	—	2	2	no	—
544	C₄⋊C₄	—	2	4	no	—
545	C₄⋊C₄	—	4	2	no	—
546	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
547	C₄⋊C₄	C₂²×C₄×C₇	1	8	yes	—
548	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
549	C₄⋊C₄	C₂²×C₄×C₇	1	16	yes	—
550	C₄⋊C₄	C₂²×C₄×C₇	1	8	yes	—
551	C₄⋊C₄	C₂²×C₄×C₇	1	8	yes	—
552	C₄⋊C₄	C₇×#41	1	4	yes	—
553	C₄⋊C₄	C₇×#41	1	4	yes	—
554	C₂²⋊C₄	—	2	8	no	—
555	C₂²⋊C₄	—	2	4	no	—
556	C₂²⋊C₄	—	2	4	no	—
557	C₂²⋊C₄	—	4	4	no	—
558	C₂²⋊C₄	C₂²×C₄×C₇	1	16	yes	—
559	C₂²⋊C₄	C₂²×C₄×C₇	1	8	yes	—
560	C₂²⋊C₄	C₂²×C₄×C₇	1	16	yes	—
561	C₄²	—	2	4	no	—
562	C₄²	—	2	4	no	—
563	C₄²	—	2	4	no	—
564	C₄²	—	2	8	no	—
565	C₄²	—	2	2	no	—
566	C₄²	—	2	4	no	—
567	C₄²	—	2	8	no	—
568	C₄²	—	2	4	no	—
569	C₄²	—	2	2	no	—
570	C₄²	—	2	4	no	—
571	C₄²	—	2	8	no	—
572	C₄²	—	2	4	no	—
573	C₄²	—	2	2	no	—
574	C₄²	—	4	2	no	—
575	C₄²	—	4	4	no	—
576	C₄²	—	4	1	no	—
577	C₄²	C₂²×C₄×C₇	1	16	yes	—
578	C₄²	C₂²×C₄×C₇	1	4	yes	—
579	C₄²	C₂²×C₄×C₇	1	8	yes	—
580	C₄²	C₇×#41	1	4	yes	—
581	C₄²	C₇×#41	1	4	yes	—
582	C₂×C₇	—	4	4	no	—
583	C₂×C₇	C₂×C₄×#41	1	1	yes	characteristic
584	C₂×C₇	C₂×C₄×#41	1	1	yes	characteristic
585	C₂×C₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
586	C₂×C₇	C₂×#556	1	1	yes	characteristic
587	C₂×C₇	#3475	1	1	yes	characteristic
588	C₂×C₇	#3480	1	1	yes	characteristic
589	C₂×C₇	#3482	1	1	yes	characteristic
590	C₂³	—	2	2	no	—
591	C₂³	—	2	2	no	—
592	C₂³	—	2	2	no	—
593	C₂³	—	2	2	no	—
594	C₂³	—	2	2	no	—
595	C₂³	—	2	2	no	—
596	C₂³	C₂³×C₄×C₇	1	4	yes	—
597	C₂³	C₂⁵×C₇	1	1	yes	characteristic
598	Q₈	—	2	8	no	—
599	Q₈	—	2	16	no	—
600	D₄	—	2	8	no	—
601	C₂×C₄	—	2	1	no	—
602	C₂×C₄	—	2	2	no	—
603	C₂×C₄	—	2	2	no	—
604	C₂×C₄	—	2	2	no	—
605	C₂×C₄	—	2	2	no	—
606	C₂×C₄	—	2	2	no	—
607	C₂×C₄	—	2	4	no	—
608	C₂×C₄	—	2	4	no	—
609	C₂×C₄	—	2	2	no	—
610	C₂×C₄	—	2	1	no	—
611	C₂×C₄	—	2	2	no	—
612	C₂×C₄	—	2	1	no	—
613	C₂×C₄	—	2	2	no	—
614	C₂×C₄	—	2	2	no	—
615	C₂×C₄	—	2	1	no	—
616	C₂×C₄	—	2	2	no	—
617	C₂×C₄	—	2	1	no	—
618	C₂×C₄	—	2	1	no	—
619	C₂×C₄	—	2	16	no	—
620	C₂×C₄	—	2	2	no	—
621	C₂×C₄	—	2	1	no	—
622	C₂×C₄	—	2	4	no	—
623	C₂×C₄	—	2	2	no	—
624	C₂×C₄	—	2	2	no	—
625	C₂×C₄	—	2	4	no	—
626	C₂×C₄	—	2	1	no	—
627	C₂×C₄	—	2	2	no	—
628	C₂×C₄	—	2	1	no	—
629	C₂×C₄	—	2	2	no	—
630	C₂×C₄	—	2	2	no	—
631	C₂×C₄	—	2	4	no	—
632	C₂×C₄	—	4	8	no	—
633	C₂×C₄	—	4	8	no	—
634	C₂×C₄	C₂³×C₄×C₇	1	4	yes	—
635	C₂×C₄	C₂³×C₄×C₇	1	4	yes	—
636	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
637	C₂×C₄	C₂³×C₄×C₇	1	8	yes	—
638	C₂×C₄	C₂³×C₄×C₇	1	4	yes	—
639	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
640	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
641	C₂×C₄	C₂×C₇×#41	1	4	yes	—
642	C₂×C₄	C₂×C₇×#41	1	2	yes	—
643	C₂×C₄	C₂×C₇×#41	1	4	yes	—
644	C₂×C₄	C₂×C₇×#41	1	2	yes	—
645	C₂×C₄	C₂×C₇×#41	1	2	yes	—
646	C₂×C₄	C₂×C₇×#41	1	2	yes	—
647	C₂×C₄	C₂×C₇×#41	1	2	yes	—
648	C₂×C₄	C₂×C₇×#41	1	2	yes	—
649	C₂×C₄	C₂×C₇×#41	1	2	yes	—
650	C₂×C₄	C₂×C₇×#41	1	2	yes	—
651	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
652	C₇	C₄×#556	1	1	yes	characteristic, direct product factor, Sylow
653	C₂²	—	2	4	no	—
654	C₂²	—	2	4	no	—
655	C₂²	—	2	4	no	—
656	C₂²	—	4	2	no	—
657	C₂²	—	4	2	no	—
658	C₂²	—	4	2	no	—
659	C₂²	—	4	2	no	—
660	C₂²	C₂⁴×C₄×C₇	1	1	yes	characteristic
661	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
662	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
663	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
664	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
665	C₂²	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
666	C₂²	C₇×#585	1	1	yes	characteristic
667	C₄	—	2	4	no	—
668	C₄	—	2	4	no	—
669	C₄	—	2	8	no	—
670	C₄	—	2	4	no	—
671	C₄	—	2	2	no	—
672	C₄	—	2	2	no	—
673	C₄	—	2	4	no	—
674	C₄	—	2	2	no	—
675	C₄	—	2	4	no	—
676	C₄	—	4	2	no	—
677	C₄	—	4	2	no	—
678	C₄	—	4	4	no	—
679	C₄	—	4	1	no	—
680	C₄	C₄×C₇×#41	1	4	yes	—
681	C₄	C₄×C₇×#41	1	4	yes	—
682	C₄	C₇×#556	1	4	yes	direct product factor
683	C₂	—	4	4	no	—
684	C₂	C₂×C₄×C₇×#41	1	1	yes	characteristic
685	C₂	C₂×C₄×C₇×#41	1	1	yes	characteristic
686	C₂	C₄×C₇×2₋¹⁺⁴	1	1	yes	characteristic
687	C₂	C₂×C₇×#556	1	1	yes	characteristic
688	C₂	C₇×#3475	1	1	yes	characteristic
689	C₂	C₇×#3480	1	1	yes	characteristic
690	C₂	C₇×#3482	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₇	C₂⁴
commutator	C₂²	C₂⁴×C₄×C₇
Frattini, cosocle	C₂³	C₂⁵×C₇
socle	C₂³×C₇	C₂⁵
prime radical	C₂²×C₇×D₄	C₂³
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₇×#2373	C₂	semidirect
4. C₇×#2365	C₂	semidirect
5. C₇×#2362	C₂	semidirect
6. C₇×#2356	C₂	semidirect
7. C₇×#2355	C₂	semidirect
9. C₇×#2347	C₂	semidirect
10. C₄×C₇×C₄⋊Q₈	C₂	semidirect
11. C₄×C₇×#126	C₂	semidirect
13. C₄×C₇×C₂²⋊Q₈	C₂	semidirect
14. C₄²×C₇×Q₈	C₂	semidirect
15. C₄²×C₇×Q₈	C₂	semidirect
17. C₄×C₇×#117	C₂	semidirect
18. C₇×#556	C₄	direct (N × H)
84. C₄×#556	C₇	direct (N × H)
91. C₇×C₄⋊Q₈	C₂×C₄	semidirect
92. C₇×#126	C₂×C₄	semidirect
94. C₇×C₂²⋊Q₈	C₂×C₄	semidirect
99. C₄×C₇×Q₈	C₂×C₄	semidirect
100. C₄×C₇×Q₈	C₂×C₄	semidirect
105. C₇×#117	C₂×C₄	semidirect
167. #2373	C₂×C₇	semidirect
169. #2365	C₂×C₇	semidirect
170. #2362	C₂×C₇	semidirect
171. #2356	C₂×C₇	semidirect
172. #2355	C₂×C₇	semidirect
174. #2347	C₂×C₇	semidirect
175. C₄×C₄⋊Q₈	C₂×C₇	semidirect
176. C₄×#126	C₂×C₇	semidirect
178. C₄×C₂²⋊Q₈	C₂×C₇	semidirect
179. C₄²×Q₈	C₂×C₇	semidirect
180. C₄²×Q₈	C₂×C₇	semidirect
182. C₄×#117	C₂×C₇	semidirect
263. #556	C₄×C₇	direct (N × H)
397. C₄⋊Q₈	C₂×C₄×C₇	semidirect
398. #126	C₂×C₄×C₇	semidirect
400. C₂²⋊Q₈	C₂×C₄×C₇	semidirect
405. C₄×Q₈	C₂×C₄×C₇	semidirect
406. C₄×Q₈	C₂×C₄×C₇	semidirect
411. #117	C₂×C₄×C₇	semidirect
501. C₄×C₇	#556	direct (N × H)
652. C₇	C₄×#556	direct (N × H)
682. C₄	C₇×#556	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×C₇×#556	2
C₇×#2373	2
C₇×#2367	2
C₇×#2365	2
C₇×#2362	2
C₇×#2356	2
C₇×#2355	2
C₇×#2354	2
C₇×#2347	2
C₄×C₇×C₄⋊Q₈	2
C₄×C₇×#126	2
C₄×C₇×#124	2
C₄×C₇×C₂²⋊Q₈	2
C₄²×C₇×Q₈	2
C₄²×C₇×D₄	2
C₄×C₇×#117	2
C₄×#556	7

Subgroups — C4×C7×#556 #13211382

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×C₇×#556 #13211382