Subgroups — C₂²×C₇×#532 #13239882

Order 1792.

12878 conjugacy classes of subgroups.

The subgroup lattice has 300 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×C₇×#41	C₂	1	2	yes	maximal, complemented
2	C₂×C₇×#532	C₂	1	48	yes	maximal, direct product factor
3	C₂²×C₇×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×C₇×#127	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂²×C₇×#124	C₂	1	2	yes	maximal, complemented
6	C₂²×C₇×#121	C₂	1	4	yes	maximal, complemented
7	C₂²×C₄×C₇×D₄	C₂	1	4	yes	maximal, complemented
8	C₂³×C₄²×C₇	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×C₇×#41	—	2	32	no	—
10	C₂²×C₇×#41	C₂²	1	48	yes	complemented
11	C₂³×C₇×Q₈	C₂²	1	2	yes	—
12	C₂³×C₇×D₄	C₂²	1	4	yes	—
13	C₂³×C₇×D₄	C₂²	1	2	yes	—
14	C₂³×C₇×D₄	C₂²	1	4	yes	—
15	C₂⁴×C₄×C₇	C₂²	1	2	yes	—
16	C₂⁴×C₄×C₇	C₂²	1	4	yes	—
17	C₂⁴×C₄×C₇	C₂²	1	1	yes	characteristic
18	C₇×#532	C₂²	1	256	yes	direct product factor
19	C₂×C₇×C₄⋊Q₈	C₂²	1	24	yes	complemented
20	C₂×C₇×#127	C₂²	1	24	yes	complemented
21	C₂×C₇×#124	C₂²	1	48	yes	complemented
22	C₂×C₇×#121	C₂²	1	96	yes	complemented
23	C₂×C₄×C₇×D₄	C₂²	1	96	yes	complemented
24	C₂²×C₇×C₄⋊C₄	C₂²	1	4	yes	—
25	C₂²×C₇×C₂²⋊C₄	C₂²	1	8	yes	—
26	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
27	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
28	C₂²×C₄²×C₇	C₂²	1	2	yes	—
29	C₂²×C₄²×C₇	C₂²	1	24	yes	complemented
30	C₂²×#532	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
31	C₂⁵×C₇	C₂³	1	4	yes	—
32	C₂⁵×C₇	C₂³	1	1	yes	characteristic
33	C₂×C₇×#41	—	2	384	no	—
34	C₂×C₇×#41	C₂³	1	128	yes	complemented
35	C₂²×C₇×Q₈	—	2	16	no	—
36	C₂²×C₇×Q₈	C₂³	1	24	yes	—
37	C₂²×C₇×D₄	—	2	32	no	—
38	C₂²×C₇×D₄	—	2	16	no	—
39	C₂²×C₇×D₄	—	2	32	no	—
40	C₂²×C₇×D₄	C₂³	1	48	yes	—
41	C₂²×C₇×D₄	C₂³	1	24	yes	—
42	C₂²×C₇×D₄	C₂³	1	48	yes	—
43	C₂³×C₄×C₇	—	2	32	no	—
44	C₂³×C₄×C₇	—	2	16	no	—
45	C₂³×C₄×C₇	D₄	1	16	yes	complemented
46	C₂³×C₄×C₇	C₂³	1	4	yes	—
47	C₂³×C₄×C₇	C₂³	1	48	yes	—
48	C₂³×C₄×C₇	C₂³	1	2	yes	—
49	C₂³×C₄×C₇	C₂³	1	24	yes	—
50	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
51	C₂³×C₄×C₇	C₂³	1	12	yes	—
52	C₂³×C₄×C₇	C₂³	1	2	yes	—
53	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
54	C₇×C₄⋊Q₈	C₂³	1	64	yes	complemented
55	C₇×#127	C₂³	1	64	yes	complemented
56	C₇×#124	C₂³	1	128	yes	complemented
57	C₇×#121	C₂³	1	256	yes	complemented
58	C₄×C₇×D₄	C₂³	1	256	yes	complemented
59	C₂×C₇×C₄⋊C₄	C₂³	1	48	yes	—
60	C₂×C₇×C₂²⋊C₄	C₂³	1	96	yes	—
61	C₂×C₄²×C₇	C₂³	1	24	yes	—
62	C₂×C₄²×C₇	C₂³	1	12	yes	—
63	C₂×C₄²×C₇	C₂³	1	12	yes	—
64	C₂×C₄²×C₇	C₂³	1	64	yes	complemented
65	C₂³×#41	C₂×C₇	1	2	yes	complemented
66	C₂×#532	C₂×C₇	1	48	yes	direct product factor
67	C₂²×C₄⋊Q₈	C₂×C₇	1	1	yes	characteristic, complemented
68	C₂²×#127	C₂×C₇	1	1	yes	characteristic, complemented
69	C₂²×#124	C₂×C₇	1	2	yes	complemented
70	C₂²×#121	C₂×C₇	1	4	yes	complemented
71	C₂²×C₄×D₄	C₂×C₇	1	4	yes	complemented
72	C₂³×C₄²	C₂×C₇	1	1	yes	characteristic, complemented
73	C₂⁴×C₇	—	2	8	no	—
74	C₂⁴×C₇	—	2	16	no	—
75	C₂⁴×C₇	—	2	32	no	—
76	C₂⁴×C₇	C₂×D₄	1	8	yes	—
77	C₂⁴×C₇	C₂⁴	1	24	yes	—
78	C₂⁴×C₇	C₂⁴	1	6	yes	—
79	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
80	C₇×#41	—	2	512	no	—
81	C₂×C₇×Q₈	—	2	96	no	—
82	C₂×C₇×Q₈	C₂⁴	1	32	yes	—
83	C₂×C₇×D₄	—	2	192	no	—
84	C₂×C₇×D₄	—	2	96	no	—
85	C₂×C₇×D₄	—	2	192	no	—
86	C₂×C₇×D₄	C₂⁴	1	64	yes	—
87	C₂×C₇×D₄	C₂⁴	1	64	yes	—
88	C₂×C₇×D₄	C₂⁴	1	32	yes	—
89	C₂²×C₄×C₇	—	2	16	no	—
90	C₂²×C₄×C₇	—	2	8	no	—
91	C₂²×C₄×C₇	—	2	192	no	—
92	C₂²×C₄×C₇	—	2	96	no	—
93	C₂²×C₄×C₇	C₂×D₄	1	8	yes	—
94	C₂²×C₄×C₇	C₂×D₄	1	8	yes	—
95	C₂²×C₄×C₇	C₂×D₄	1	96	yes	complemented
96	C₂²×C₄×C₇	#41	1	16	yes	complemented
97	C₂²×C₄×C₇	C₂⁴	1	12	yes	—
98	C₂²×C₄×C₇	C₂⁴	1	32	yes	—
99	C₂²×C₄×C₇	C₂⁴	1	24	yes	—
100	C₂²×C₄×C₇	C₂⁴	1	64	yes	—
101	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
102	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
103	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
104	C₂²×C₄×C₇	C₂⁴	1	12	yes	—
105	C₇×C₄⋊C₄	C₂⁴	1	64	yes	—
106	C₇×C₂²⋊C₄	C₂⁴	1	128	yes	—
107	C₄²×C₇	C₂⁴	1	32	yes	—
108	C₄²×C₇	C₂⁴	1	16	yes	—
109	C₄²×C₇	C₂⁴	1	16	yes	—
110	C₂²×#41	—	2	32	no	—
111	C₂²×#41	C₂²×C₇	1	48	yes	complemented
112	C₂³×Q₈	C₂²×C₇	1	2	yes	—
113	C₂³×D₄	C₂²×C₇	1	4	yes	—
114	C₂³×D₄	C₂²×C₇	1	2	yes	—
115	C₂³×D₄	C₂²×C₇	1	4	yes	—
116	C₂⁴×C₄	C₂²×C₇	1	4	yes	—
117	C₂⁴×C₄	C₂²×C₇	1	2	yes	—
118	C₂⁴×C₄	C₂²×C₇	1	1	yes	characteristic
119	#532	C₂²×C₇	1	256	yes	direct product factor
120	C₂×C₄⋊Q₈	C₂²×C₇	1	24	yes	complemented
121	C₂×#127	C₂²×C₇	1	24	yes	complemented
122	C₂×#124	C₂²×C₇	1	48	yes	complemented
123	C₂×#121	C₂²×C₇	1	96	yes	complemented
124	C₂×C₄×D₄	C₂²×C₇	1	96	yes	complemented
125	C₂²×C₄⋊C₄	C₂²×C₇	1	4	yes	—
126	C₂²×C₂²⋊C₄	C₂²×C₇	1	8	yes	—
127	C₂²×C₄²	C₂²×C₇	1	2	yes	—
128	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
129	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
130	C₂²×C₄²	C₂²×C₇	1	24	yes	complemented
131	C₂³×C₇	—	2	32	no	—
132	C₂³×C₇	—	2	24	no	—
133	C₂³×C₇	—	2	48	no	—
134	C₂³×C₇	—	2	96	no	—
135	C₂³×C₇	—	4	64	no	—
136	C₂³×C₇	C₂²×D₄	1	24	yes	—
137	C₂³×C₇	C₂²×D₄	1	4	yes	—
138	C₂³×C₇	C₂×#41	1	8	yes	—
139	C₂³×C₇	C₂⁵	1	16	yes	—
140	C₂³×C₇	C₂⁵	1	4	yes	—
141	C₂³×C₇	C₂⁵	1	3	yes	—
142	C₇×Q₈	—	2	64	no	—
143	C₇×D₄	—	2	128	no	—
144	C₇×D₄	—	2	64	no	—
145	C₇×D₄	—	2	128	no	—
146	C₂×C₄×C₇	—	2	48	no	—
147	C₂×C₄×C₇	—	2	24	no	—
148	C₂×C₄×C₇	—	2	128	no	—
149	C₂×C₄×C₇	—	2	64	no	—
150	C₂×C₄×C₇	C₂²×D₄	1	24	yes	—
151	C₂×C₄×C₇	C₂²×D₄	1	24	yes	—
152	C₂×C₄×C₇	C₂²×D₄	1	64	yes	complemented
153	C₂×C₄×C₇	C₂×#41	1	48	yes	complemented
154	C₂×C₄×C₇	C₂⁵	1	8	yes	—
155	C₂×C₄×C₇	C₂⁵	1	16	yes	—
156	C₂×C₄×C₇	C₂⁵	1	4	yes	—
157	C₂×C₄×C₇	C₂⁵	1	4	yes	—
158	C₂×C₄×C₇	C₂⁵	1	8	yes	—
159	C₂⁵	C₂³×C₇	1	4	yes	—
160	C₂⁵	C₂³×C₇	1	1	yes	characteristic
161	C₂×#41	—	2	384	no	—
162	C₂×#41	C₂³×C₇	1	128	yes	complemented
163	C₂²×Q₈	—	2	16	no	—
164	C₂²×Q₈	C₂³×C₇	1	24	yes	—
165	C₂²×D₄	—	2	32	no	—
166	C₂²×D₄	—	2	16	no	—
167	C₂²×D₄	—	2	32	no	—
168	C₂²×D₄	C₂³×C₇	1	48	yes	—
169	C₂²×D₄	C₂³×C₇	1	48	yes	—
170	C₂²×D₄	C₂³×C₇	1	24	yes	—
171	C₂³×C₄	—	2	32	no	—
172	C₂³×C₄	—	2	16	no	—
173	C₂³×C₄	C₇×D₄	1	16	yes	complemented
174	C₂³×C₄	C₂³×C₇	1	2	yes	—
175	C₂³×C₄	C₂³×C₇	1	4	yes	—
176	C₂³×C₄	C₂³×C₇	1	48	yes	—
177	C₂³×C₄	C₂³×C₇	1	24	yes	—
178	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
179	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
180	C₂³×C₄	C₂³×C₇	1	12	yes	—
181	C₂³×C₄	C₂³×C₇	1	2	yes	—
182	C₄⋊Q₈	C₂³×C₇	1	64	yes	complemented
183	#127	C₂³×C₇	1	64	yes	complemented
184	#124	C₂³×C₇	1	128	yes	complemented
185	#121	C₂³×C₇	1	256	yes	complemented
186	C₄×D₄	C₂³×C₇	1	256	yes	complemented
187	C₂×C₄⋊C₄	C₂³×C₇	1	48	yes	—
188	C₂×C₂²⋊C₄	C₂³×C₇	1	96	yes	—
189	C₂×C₄²	C₂³×C₇	1	24	yes	—
190	C₂×C₄²	C₂³×C₇	1	12	yes	—
191	C₂×C₄²	C₂³×C₇	1	12	yes	—
192	C₂×C₄²	C₂³×C₇	1	64	yes	complemented
193	C₂²×C₇	—	2	8	no	—
194	C₂²×C₇	—	2	48	no	—
195	C₂²×C₇	—	2	16	no	—
196	C₂²×C₇	—	2	32	no	—
197	C₂²×C₇	—	4	96	no	—
198	C₂²×C₇	#532	1	16	yes	direct product factor
199	C₂²×C₇	C₂³×D₄	1	8	yes	—
200	C₂²×C₇	C₂³×D₄	1	6	yes	—
201	C₂²×C₇	C₂²×#41	1	12	yes	—
202	C₂²×C₇	C₂⁶	1	1	yes	characteristic
203	C₄×C₇	—	2	16	no	—
204	C₄×C₇	—	2	8	no	—
205	C₄×C₇	C₂³×D₄	1	8	yes	—
206	C₄×C₇	C₂³×D₄	1	8	yes	—
207	C₄×C₇	C₂²×#41	1	16	yes	complemented
208	C₂⁴	—	2	8	no	—
209	C₂⁴	—	2	16	no	—
210	C₂⁴	—	2	32	no	—
211	C₂⁴	C₂×C₇×D₄	1	8	yes	—
212	C₂⁴	C₂⁴×C₇	1	24	yes	—
213	C₂⁴	C₂⁴×C₇	1	6	yes	—
214	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
215	#41	—	2	512	no	—
216	C₂×Q₈	—	2	96	no	—
217	C₂×Q₈	C₂⁴×C₇	1	32	yes	—
218	C₂×D₄	—	2	192	no	—
219	C₂×D₄	—	2	96	no	—
220	C₂×D₄	—	2	192	no	—
221	C₂×D₄	C₂⁴×C₇	1	64	yes	—
222	C₂×D₄	C₂⁴×C₇	1	64	yes	—
223	C₂×D₄	C₂⁴×C₇	1	32	yes	—
224	C₂²×C₄	—	2	16	no	—
225	C₂²×C₄	—	2	8	no	—
226	C₂²×C₄	—	2	192	no	—
227	C₂²×C₄	—	2	96	no	—
228	C₂²×C₄	C₂×C₇×D₄	1	8	yes	—
229	C₂²×C₄	C₂×C₇×D₄	1	8	yes	—
230	C₂²×C₄	C₂×C₇×D₄	1	96	yes	complemented
231	C₂²×C₄	C₇×#41	1	16	yes	complemented
232	C₂²×C₄	C₂⁴×C₇	1	12	yes	—
233	C₂²×C₄	C₂⁴×C₇	1	32	yes	—
234	C₂²×C₄	C₂⁴×C₇	1	24	yes	—
235	C₂²×C₄	C₂⁴×C₇	1	64	yes	—
236	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
237	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
238	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
239	C₂²×C₄	C₂⁴×C₇	1	12	yes	—
240	C₄⋊C₄	C₂⁴×C₇	1	64	yes	—
241	C₂²⋊C₄	C₂⁴×C₇	1	128	yes	—
242	C₄²	C₂⁴×C₇	1	32	yes	—
243	C₄²	C₂⁴×C₇	1	16	yes	—
244	C₄²	C₂⁴×C₇	1	16	yes	—
245	C₂×C₇	—	2	8	no	—
246	C₂×C₇	—	4	16	no	—
247	C₂×C₇	C₂×#532	1	12	yes	direct product factor
248	C₂×C₇	C₂⁴×D₄	1	1	yes	characteristic
249	C₂×C₇	C₂³×#41	1	2	yes	—
250	C₂³	—	2	24	no	—
251	C₂³	—	2	32	no	—
252	C₂³	—	2	48	no	—
253	C₂³	—	2	96	no	—
254	C₂³	—	4	64	no	—
255	C₂³	C₂²×C₇×D₄	1	24	yes	—
256	C₂³	C₂²×C₇×D₄	1	4	yes	—
257	C₂³	C₂×C₇×#41	1	8	yes	—
258	C₂³	C₂⁵×C₇	1	16	yes	—
259	C₂³	C₂⁵×C₇	1	4	yes	—
260	C₂³	C₂⁵×C₇	1	3	yes	—
261	Q₈	—	2	64	no	—
262	D₄	—	2	128	no	—
263	D₄	—	2	64	no	—
264	D₄	—	2	128	no	—
265	C₂×C₄	—	2	48	no	—
266	C₂×C₄	—	2	24	no	—
267	C₂×C₄	—	2	128	no	—
268	C₂×C₄	—	2	64	no	—
269	C₂×C₄	C₂²×C₇×D₄	1	24	yes	—
270	C₂×C₄	C₂²×C₇×D₄	1	24	yes	—
271	C₂×C₄	C₂²×C₇×D₄	1	64	yes	complemented
272	C₂×C₄	C₂×C₇×#41	1	48	yes	complemented
273	C₂×C₄	C₂⁵×C₇	1	8	yes	—
274	C₂×C₄	C₂⁵×C₇	1	16	yes	—
275	C₂×C₄	C₂⁵×C₇	1	4	yes	—
276	C₂×C₄	C₂⁵×C₇	1	4	yes	—
277	C₂×C₄	C₂⁵×C₇	1	8	yes	—
278	C₇	C₂²×#532	1	1	yes	characteristic, direct product factor, Sylow
279	C₂²	—	2	8	no	—
280	C₂²	—	2	48	no	—
281	C₂²	—	2	16	no	—
282	C₂²	—	2	32	no	—
283	C₂²	—	4	96	no	—
284	C₂²	C₇×#532	1	16	yes	direct product factor
285	C₂²	C₂³×C₇×D₄	1	8	yes	—
286	C₂²	C₂³×C₇×D₄	1	6	yes	—
287	C₂²	C₂²×C₇×#41	1	12	yes	—
288	C₂²	C₂⁶×C₇	1	1	yes	characteristic
289	C₄	—	2	16	no	—
290	C₄	—	2	8	no	—
291	C₄	C₂³×C₇×D₄	1	8	yes	—
292	C₄	C₂³×C₇×D₄	1	8	yes	—
293	C₄	C₂²×C₇×#41	1	16	yes	complemented
294	C₂	—	2	8	no	—
295	C₂	—	4	16	no	—
296	C₂	C₂×C₇×#532	1	12	yes	direct product factor
297	C₂	C₂⁴×C₇×D₄	1	1	yes	characteristic
298	C₂	C₂³×C₇×#41	1	2	yes	—

	subgroup	G/H
center	C₂³×C₄×C₇	C₂³
commutator, Frattini, cosocle	C₂²	C₂⁶×C₇
socle	C₂⁴×C₇	C₂⁴
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₄×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂³×C₇×#41	C₂	semidirect
2. C₂×C₇×#532	C₂	direct (N × H)
3. C₂²×C₇×C₄⋊Q₈	C₂	semidirect
4. C₂²×C₇×#127	C₂	semidirect
5. C₂²×C₇×#124	C₂	semidirect
6. C₂²×C₇×#121	C₂	semidirect
7. C₂²×C₄×C₇×D₄	C₂	semidirect
8. C₂³×C₄²×C₇	C₂	semidirect
10. C₂²×C₇×#41	C₂²	semidirect
18. C₇×#532	C₂²	direct (N × H)
19. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
20. C₂×C₇×#127	C₂²	semidirect
21. C₂×C₇×#124	C₂²	semidirect
22. C₂×C₇×#121	C₂²	semidirect
23. C₂×C₄×C₇×D₄	C₂²	semidirect
29. C₂²×C₄²×C₇	C₂²	semidirect
30. C₂²×#532	C₇	direct (N × H)
34. C₂×C₇×#41	C₂³	semidirect
45. C₂³×C₄×C₇	D₄	semidirect
54. C₇×C₄⋊Q₈	C₂³	semidirect
55. C₇×#127	C₂³	semidirect
56. C₇×#124	C₂³	semidirect
57. C₇×#121	C₂³	semidirect
58. C₄×C₇×D₄	C₂³	semidirect
64. C₂×C₄²×C₇	C₂³	semidirect
65. C₂³×#41	C₂×C₇	semidirect
66. C₂×#532	C₂×C₇	direct (N × H)
67. C₂²×C₄⋊Q₈	C₂×C₇	semidirect
68. C₂²×#127	C₂×C₇	semidirect
69. C₂²×#124	C₂×C₇	semidirect
70. C₂²×#121	C₂×C₇	semidirect
71. C₂²×C₄×D₄	C₂×C₇	semidirect
72. C₂³×C₄²	C₂×C₇	semidirect
95. C₂²×C₄×C₇	C₂×D₄	semidirect
96. C₂²×C₄×C₇	#41	semidirect
111. C₂²×#41	C₂²×C₇	semidirect
119. #532	C₂²×C₇	direct (N × H)
120. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
121. C₂×#127	C₂²×C₇	semidirect
122. C₂×#124	C₂²×C₇	semidirect
123. C₂×#121	C₂²×C₇	semidirect
124. C₂×C₄×D₄	C₂²×C₇	semidirect
130. C₂²×C₄²	C₂²×C₇	semidirect
152. C₂×C₄×C₇	C₂²×D₄	semidirect
153. C₂×C₄×C₇	C₂×#41	semidirect
162. C₂×#41	C₂³×C₇	semidirect
173. C₂³×C₄	C₇×D₄	semidirect
182. C₄⋊Q₈	C₂³×C₇	semidirect
183. #127	C₂³×C₇	semidirect
184. #124	C₂³×C₇	semidirect
185. #121	C₂³×C₇	semidirect
186. C₄×D₄	C₂³×C₇	semidirect
192. C₂×C₄²	C₂³×C₇	semidirect
198. C₂²×C₇	#532	direct (N × H)
207. C₄×C₇	C₂²×#41	semidirect
230. C₂²×C₄	C₂×C₇×D₄	semidirect
231. C₂²×C₄	C₇×#41	semidirect
247. C₂×C₇	C₂×#532	direct (N × H)
271. C₂×C₄	C₂²×C₇×D₄	semidirect
272. C₂×C₄	C₂×C₇×#41	semidirect
278. C₇	C₂²×#532	direct (N × H)
284. C₂²	C₇×#532	direct (N × H)
293. C₄	C₂²×C₇×#41	semidirect
296. C₂	C₂×C₇×#532	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂³×C₇×#41	2
C₂×C₇×#532	2
C₂²×C₇×C₄⋊Q₈	2
C₂²×C₇×#127	2
C₂²×C₇×#124	2
C₂²×C₇×#121	2
C₂²×C₄×C₇×D₄	2
C₂³×C₄²×C₇	2
C₂²×#532	7

Subgroups — C22×C7×#532 #13239882

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×C₇×#532 #13239882