Subgroups — C₂×#20243424 #26215890

Order 12032.

1566 conjugacy classes of subgroups.

The subgroup lattice has 356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂⁴×C₄₇⋊C₈	C₂	1	1	yes	maximal, characteristic
2	C₂²×#13093959	C₂	1	2	yes	maximal, complemented
3	C₂×#15689087	C₂	1	1	yes	maximal, characteristic
4	#20243424	C₂	1	8	yes	maximal, direct product factor
5	C₂×#15688887	C₂	1	2	yes	maximal, complemented
6	C₂×C₄₇×#407	C₂	1	1	yes	maximal, characteristic
7	C₂²×#10625329	C₂²	1	2	yes	—
8	C₂³×C₄₇⋊C₈	—	2	8	no	—
9	C₂³×C₄₇⋊C₈	C₄	1	4	yes	—
10	C₂³×C₄₇⋊C₈	C₄	1	4	yes	—
11	C₂³×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
12	C₂³×C₄₇⋊C₈	C₂²	1	4	yes	—
13	C₂³×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
14	C₂×#13093959	—	2	8	no	—
15	C₂×#13093959	C₂²	1	8	yes	complemented
16	#15689087	—	2	2	no	—
17	#15689087	C₂²	1	4	yes	—
18	C₂×C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
19	#15688887	C₂²	1	8	yes	complemented
20	C₂⁴×C₄×C₄₇	C₂²	1	1	yes	characteristic
21	C₂²×M₁₆×C₄₇	C₂²	1	2	yes	—
22	C₄₇×#407	—	2	2	no	—
23	C₄₇×#407	C₂²	1	4	yes	—
24	C₂×C₂²⋊C₈×C₄₇	—	2	2	no	—
25	C₂×#10625329	—	2	2	no	—
26	C₂×#10625329	—	2	4	no	—
27	C₂×#10625329	—	2	4	no	—
28	C₂×#10625329	C₂³	1	4	yes	—
29	C₂²×C₄₇⋊C₈	—	2	4	no	—
30	C₂²×C₄₇⋊C₈	—	2	16	no	—
31	C₂²×C₄₇⋊C₈	—	2	16	no	—
32	C₂²×C₄₇⋊C₈	—	2	16	no	—
33	C₂²×C₄₇⋊C₈	—	2	2	no	—
34	C₂²×C₄₇⋊C₈	C₂×C₄	1	2	yes	—
35	C₂²×C₄₇⋊C₈	C₂×C₄	1	2	yes	—
36	C₂²×C₄₇⋊C₈	C₂×C₄	1	16	yes	—
37	C₂²×C₄₇⋊C₈	C₂×C₄	1	2	yes	—
38	C₂²×C₄₇⋊C₈	C₂×C₄	1	2	yes	—
39	C₂²×C₄₇⋊C₈	D₄	1	8	yes	—
40	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
41	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
42	#13093959	—	2	16	no	—
43	C₂²⋊(C₄₇⋊C₈)	—	2	8	no	—
44	C₂⁵×C₄₇	Q₈	1	1	yes	characteristic
45	C₂³×C₄×C₄₇	—	2	4	no	—
46	C₂³×C₄×C₄₇	—	2	4	no	—
47	C₂³×C₄×C₄₇	C₂×C₄	1	2	yes	—
48	C₂³×C₄×C₄₇	C₂×C₄	1	2	yes	—
49	C₂³×C₄×C₄₇	D₄	1	2	yes	—
50	C₂³×C₄×C₄₇	D₄	1	2	yes	—
51	C₂³×C₄×C₄₇	Q₈	1	1	yes	characteristic
52	C₂³×C₄×C₄₇	Q₈	1	2	yes	—
53	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
54	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
55	C₂×M₁₆×C₄₇	—	2	2	no	—
56	C₂×M₁₆×C₄₇	—	2	4	no	—
57	C₂×M₁₆×C₄₇	—	2	4	no	—
58	C₂×M₁₆×C₄₇	C₂³	1	4	yes	—
59	C₂²×C₈×C₄₇	—	2	2	no	—
60	C₂²⋊C₈×C₄₇	—	2	8	no	—
61	C₂⁴×C₄₇	—	2	8	no	—
62	C₂⁴×C₄₇	—	2	4	no	—
63	C₂⁴×C₄₇	C₄⋊C₄	1	2	yes	—
64	C₂⁴×C₄₇	C₄⋊C₄	1	2	yes	—
65	C₂⁴×C₄₇	C₂×Q₈	1	2	yes	—
66	C₂⁴×C₄₇	C₂×Q₈	1	1	yes	characteristic
67	C₂²×C₄×C₄₇	—	2	4	no	—
68	C₂²×C₄×C₄₇	—	2	4	no	—
69	C₂²×C₄×C₄₇	—	2	4	no	—
70	C₂²×C₄×C₄₇	—	2	4	no	—
71	C₂²×C₄×C₄₇	—	2	4	no	—
72	C₂²×C₄×C₄₇	—	2	8	no	—
73	C₂²×C₄×C₄₇	—	2	8	no	—
74	C₂²×C₄×C₄₇	—	2	8	no	—
75	C₂²×C₄×C₄₇	—	2	4	no	—
76	C₂²×C₄×C₄₇	—	2	4	no	—
77	C₂²×C₄×C₄₇	C₄⋊C₄	1	2	yes	—
78	C₂²×C₄×C₄₇	C₄⋊C₄	1	2	yes	—
79	C₂²×C₄×C₄₇	C₄⋊C₄	1	4	yes	—
80	C₂²×C₄×C₄₇	C₄⋊C₄	1	4	yes	—
81	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
82	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
83	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
84	C₂²×C₄×C₄₇	C₂×D₄	1	4	yes	—
85	C₂²×C₄×C₄₇	C₂×D₄	1	4	yes	—
86	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
88	C₂²×C₄×C₄₇	C₂×Q₈	1	2	yes	—
89	C₂²×C₄×C₄₇	C₂×Q₈	1	1	yes	characteristic
90	C₂²×C₄×C₄₇	#41	1	4	yes	—
91	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
92	M₁₆×C₄₇	—	2	4	no	—
93	M₁₆×C₄₇	—	2	4	no	—
94	M₁₆×C₄₇	—	4	4	no	—
95	C₂×C₈×C₄₇	—	2	4	no	—
96	C₂×C₈×C₄₇	—	4	4	no	—
97	#10625329	—	2	4	no	—
98	#10625329	—	2	4	no	—
99	#10625329	—	4	4	no	—
100	C₂×C₄₇⋊C₈	—	2	4	no	—
101	C₂×C₄₇⋊C₈	—	2	4	no	—
102	C₂×C₄₇⋊C₈	—	2	4	no	—
103	C₂×C₄₇⋊C₈	—	2	32	no	—
104	C₂×C₄₇⋊C₈	—	2	4	no	—
105	C₂×C₄₇⋊C₈	—	4	4	no	—
106	C₂×C₄₇⋊C₈	C₂²⋊C₄	1	8	yes	—
107	C₂×C₄₇⋊C₈	C₂²⋊C₄	1	8	yes	—
108	C₂×C₄₇⋊C₈	C₂²×C₄	1	4	yes	—
109	C₂×C₄₇⋊C₈	C₂²×C₄	1	4	yes	—
110	C₂×C₄₇⋊C₈	C₂×D₄	1	8	yes	—
111	C₂³×C₄₇	—	2	32	no	—
112	C₂³×C₄₇	—	2	4	no	—
113	C₂³×C₄₇	—	2	4	no	—
114	C₂³×C₄₇	—	2	4	no	—
115	C₂³×C₄₇	—	2	4	no	—
116	C₂³×C₄₇	—	2	4	no	—
117	C₂³×C₄₇	—	2	8	no	—
118	C₂³×C₄₇	—	2	8	no	—
119	C₂³×C₄₇	#108	1	8	yes	complemented
120	C₂³×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
121	C₂³×C₄₇	C₂×C₄⋊C₄	1	4	yes	—
122	C₂³×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
123	C₂³×C₄₇	C₂²⋊Q₈	1	4	yes	—
124	C₂³×C₄₇	C₂²×Q₈	1	1	yes	characteristic
125	C₂×C₄×C₄₇	—	2	4	no	—
126	C₂×C₄×C₄₇	—	2	4	no	—
127	C₂×C₄×C₄₇	—	2	4	no	—
128	C₂×C₄×C₄₇	—	2	4	no	—
129	C₂×C₄×C₄₇	—	2	4	no	—
130	C₂×C₄×C₄₇	—	2	8	no	—
131	C₂×C₄×C₄₇	—	2	8	no	—
132	C₂×C₄×C₄₇	—	2	8	no	—
133	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	2	yes	—
134	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	2	yes	—
135	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	4	yes	—
136	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
137	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
138	C₂×C₄×C₄₇	#117	1	2	yes	—
139	C₂×C₄×C₄₇	#117	1	2	yes	—
140	C₂×C₄×C₄₇	#121	1	4	yes	—
141	C₂×C₄×C₄₇	#121	1	4	yes	—
142	C₂×C₄×C₄₇	C₂²⋊Q₈	1	4	yes	—
143	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
144	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
145	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
146	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
147	C₈×C₄₇	—	4	4	no	—
148	C₄₇⋊C₈	—	2	4	no	—
149	C₄₇⋊C₈	—	4	4	no	—
150	C₄₇⋊C₈	C₂×C₂²⋊C₄	1	8	yes	—
151	C₂×#1810	—	47	1	no	maximal, Sylow
152	C₂²×C₄₇	—	2	16	no	—
153	C₂²×C₄₇	—	2	16	no	—
154	C₂²×C₄₇	—	2	16	no	—
155	C₂²×C₄₇	—	2	8	no	—
156	C₂²×C₄₇	—	2	2	no	—
157	C₂²×C₄₇	—	2	4	no	—
158	C₂²×C₄₇	—	2	2	no	—
159	C₂²×C₄₇	—	2	4	no	—
160	C₂²×C₄₇	#380	1	2	yes	—
161	C₂²×C₄₇	#380	1	2	yes	—
162	C₂²×C₄₇	C₂×#108	1	4	yes	—
163	C₂²×C₄₇	C₂×#108	1	8	yes	complemented
164	C₂²×C₄₇	C₂²×C₄⋊C₄	1	1	yes	characteristic
165	C₂²×C₄₇	C₂×C₂²⋊Q₈	1	2	yes	—
166	C₄×C₄₇	—	2	4	no	—
167	C₄×C₄₇	#380	1	2	yes	—
168	C₄×C₄₇	#380	1	2	yes	—
169	C₄×C₄₇	C₂²×C₂²⋊C₄	1	1	yes	characteristic
170	C₄×C₄₇	C₂×#117	1	1	yes	characteristic
171	C₄×C₄₇	C₂×#121	1	2	yes	—
172	C₂⁴×C₈	—	47	1	no	—
173	C₂²×#108	—	47	2	no	—
174	C₂×#407	—	47	1	no	—
175	C₂×#407	D₄₇	1	1	yes	characteristic
176	#1810	—	47	8	no	—
177	C₂×#341	—	47	2	no	—
178	C₂×C₄₇	—	2	2	no	—
179	C₂×C₄₇	—	2	2	no	—
180	C₂×C₄₇	—	2	8	no	—
181	C₂×C₄₇	#1810	1	4	yes	complemented
182	C₂×C₄₇	C₂×#380	1	1	yes	characteristic
183	C₂×C₄₇	C₂²×#108	1	2	yes	—
184	C₂⁴×C₄	C₂×D₄₇	1	1	yes	characteristic
185	C₂²×M₁₆	—	47	2	no	—
186	C₂²×M₁₆	C₂×D₄₇	1	2	yes	—
187	C₂³×C₈	—	47	1	no	—
188	C₂³×C₈	—	47	4	no	—
189	C₂³×C₈	—	47	4	no	—
190	C₂³×C₈	—	47	4	no	—
191	C₂³×C₈	—	47	1	no	—
192	C₂³×C₈	—	94	8	no	—
193	C₂×#108	—	47	8	no	—
194	C₂×#108	—	94	8	no	—
195	#407	—	2	2	no	—
196	#407	—	47	4	no	—
197	#407	—	94	2	no	—
198	#407	C₂×D₄₇	1	4	yes	—
199	C₂×C₂²⋊C₈	—	2	2	no	—
200	C₂×C₂²⋊C₈	—	94	2	no	—
201	#341	—	47	8	no	—
202	C₄₇	C₂×#1810	1	1	yes	characteristic, complemented, Sylow
203	C₂⁵	Dic₉₄	1	1	yes	characteristic
204	C₂³×C₄	—	2	4	no	—
205	C₂³×C₄	—	2	4	no	—
206	C₂³×C₄	Dic₉₄	1	1	yes	characteristic
207	C₂³×C₄	Dic₉₄	1	2	yes	—
208	C₂³×C₄	C₄×D₄₇	1	2	yes	—
209	C₂³×C₄	C₄×D₄₇	1	2	yes	—
210	C₂³×C₄	C₂²⋊D₄₇	1	2	yes	—
211	C₂³×C₄	C₂²⋊D₄₇	1	2	yes	—
212	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
213	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
214	C₂×M₁₆	—	2	2	no	—
215	C₂×M₁₆	—	2	4	no	—
216	C₂×M₁₆	—	2	4	no	—
217	C₂×M₁₆	—	47	4	no	—
218	C₂×M₁₆	—	94	2	no	—
219	C₂×M₁₆	—	94	4	no	—
220	C₂×M₁₆	—	94	4	no	—
221	C₂×M₁₆	C₂²×D₄₇	1	4	yes	—
222	C₂²×C₈	—	2	2	no	—
223	C₂²×C₈	—	47	2	no	—
224	C₂²×C₈	—	47	2	no	—
225	C₂²×C₈	—	47	8	no	—
226	C₂²×C₈	—	47	2	no	—
227	C₂²×C₈	—	47	16	no	—
228	C₂²×C₈	—	47	2	no	—
229	C₂²×C₈	—	47	2	no	—
230	C₂²×C₈	—	47	2	no	—
231	C₂²×C₈	—	94	16	no	—
232	C₂²×C₈	—	94	16	no	—
233	C₂²×C₈	—	94	16	no	—
234	C₂²×C₈	—	94	4	no	—
235	C₂²×C₈	—	94	2	no	—
236	#108	—	94	16	no	—
237	C₂²⋊C₈	—	2	8	no	—
238	C₂²⋊C₈	—	94	8	no	—
239	C₂⁴	—	2	8	no	—
240	C₂⁴	—	2	4	no	—
241	C₂⁴	Dic₄₇⋊C₄	1	2	yes	—
242	C₂⁴	Dic₄₇⋊C₄	1	2	yes	—
243	C₂⁴	C₂×Dic₉₄	1	2	yes	—
244	C₂⁴	C₂×Dic₉₄	1	1	yes	characteristic
245	C₂²×C₄	—	2	4	no	—
246	C₂²×C₄	—	2	4	no	—
247	C₂²×C₄	—	2	4	no	—
248	C₂²×C₄	—	2	4	no	—
249	C₂²×C₄	—	2	4	no	—
250	C₂²×C₄	—	2	8	no	—
251	C₂²×C₄	—	2	8	no	—
252	C₂²×C₄	—	2	8	no	—
253	C₂²×C₄	—	2	4	no	—
254	C₂²×C₄	—	2	4	no	—
255	C₂²×C₄	Dic₄₇⋊C₄	1	2	yes	—
256	C₂²×C₄	Dic₄₇⋊C₄	1	2	yes	—
257	C₂²×C₄	Dic₄₇⋊C₄	1	4	yes	—
258	C₂²×C₄	Dic₄₇⋊C₄	1	4	yes	—
259	C₂²×C₄	C₂×Dic₉₄	1	2	yes	—
260	C₂²×C₄	C₂×Dic₉₄	1	1	yes	characteristic
261	C₂²×C₄	C₂×C₄×D₄₇	1	4	yes	—
262	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
263	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
264	C₂²×C₄	D₄×D₄₇	1	4	yes	—
265	C₂²×C₄	#10625352	1	4	yes	—
266	C₂²×C₄	C₂×C₂²⋊D₄₇	1	4	yes	—
267	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
268	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
269	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
270	M₁₆	—	2	4	no	—
271	M₁₆	—	2	4	no	—
272	M₁₆	—	4	4	no	—
273	M₁₆	—	94	4	no	—
274	M₁₆	—	94	4	no	—
275	M₁₆	—	188	4	no	—
276	C₂×C₈	—	2	4	no	—
277	C₂×C₈	—	4	4	no	—
278	C₂×C₈	—	47	8	no	—
279	C₂×C₈	—	47	8	no	—
280	C₂×C₈	—	47	4	no	—
281	C₂×C₈	—	47	8	no	—
282	C₂×C₈	—	47	4	no	—
283	C₂×C₈	—	94	32	no	—
284	C₂×C₈	—	94	4	no	—
285	C₂×C₈	—	94	4	no	—
286	C₂×C₈	—	94	4	no	—
287	C₂×C₈	—	94	4	no	—
288	C₂×C₈	—	188	4	no	—
289	C₂³	—	2	32	no	—
290	C₂³	—	2	4	no	—
291	C₂³	—	2	4	no	—
292	C₂³	—	2	4	no	—
293	C₂³	—	2	4	no	—
294	C₂³	—	2	4	no	—
295	C₂³	—	2	8	no	—
296	C₂³	—	2	8	no	—
297	C₂³	#13093959	1	8	yes	complemented
298	C₂³	C₂×Dic₄₇⋊C₄	1	1	yes	characteristic
299	C₂³	C₂×Dic₄₇⋊C₄	1	4	yes	—
300	C₂³	C₂×Dic₄₇⋊C₄	1	1	yes	characteristic
301	C₂³	#13094001	1	4	yes	—
302	C₂³	C₂²×Dic₉₄	1	1	yes	characteristic
303	C₂×C₄	—	2	4	no	—
304	C₂×C₄	—	2	4	no	—
305	C₂×C₄	—	2	4	no	—
306	C₂×C₄	—	2	8	no	—
307	C₂×C₄	—	2	8	no	—
308	C₂×C₄	—	2	4	no	—
309	C₂×C₄	—	2	4	no	—
310	C₂×C₄	—	2	8	no	—
311	C₂×C₄	C₂²⋊C₄×D₄₇	1	2	yes	—
312	C₂×C₄	C₂²⋊C₄×D₄₇	1	2	yes	—
313	C₂×C₄	C₂×Dic₄₇⋊C₄	1	4	yes	—
314	C₂×C₄	C₂×Dic₄₇⋊C₄	1	1	yes	characteristic
315	C₂×C₄	C₂×Dic₄₇⋊C₄	1	1	yes	characteristic
316	C₂×C₄	#13093980	1	2	yes	—
317	C₂×C₄	#13093980	1	2	yes	—
318	C₂×C₄	#13093996	1	4	yes	—
319	C₂×C₄	#13093996	1	4	yes	—
320	C₂×C₄	#13094001	1	4	yes	—
321	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
322	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
323	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
324	C₂×C₄	C₂×#10625352	1	2	yes	—
325	C₈	—	4	4	no	—
326	C₈	—	47	8	no	—
327	C₈	—	94	4	no	—
328	C₈	—	188	4	no	—
329	C₂²	—	2	16	no	—
330	C₂²	—	2	16	no	—
331	C₂²	—	2	2	no	—
332	C₂²	—	2	4	no	—
333	C₂²	—	2	2	no	—
334	C₂²	—	2	16	no	—
335	C₂²	—	2	8	no	—
336	C₂²	—	2	4	no	—
337	C₂²	#15688981	1	2	yes	—
338	C₂²	#15688981	1	2	yes	—
339	C₂²	C₂×#13093959	1	4	yes	—
340	C₂²	C₂×#13093959	1	8	yes	complemented
341	C₂²	C₂²×Dic₄₇⋊C₄	1	1	yes	characteristic
342	C₂²	C₂×#13094001	1	2	yes	—
343	C₄	—	2	4	no	—
344	C₄	#15688981	1	2	yes	—
345	C₄	#15688981	1	2	yes	—
346	C₄	C₂×C₂²⋊C₄×D₄₇	1	1	yes	characteristic
347	C₄	C₂×#13093980	1	1	yes	characteristic
348	C₄	C₂×#13093996	1	2	yes	—
349	C₂	—	2	2	no	—
350	C₂	—	2	2	no	—
351	C₂	—	2	8	no	—
352	C₂	#20243424	1	4	yes	direct product factor
353	C₂	C₂×#15688981	1	1	yes	characteristic
354	C₂	C₂²×#13093959	1	2	yes	—

	subgroup	G/H
center	C₂²×C₄	C₂×C₂²⋊D₄₇
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting	C₂×C₄₇×#407	C₂
socle	C₂³×C₄₇	C₂×C₄⋊C₄
prime radical	C₂⁵×C₄₇	Q₈
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	C₂×#407	D₄₇
hypocenter	C₄₇	C₂×#1810
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂²×C₄ ◁ C₂⁴×C₄ ◁ C₂×#407

Complements

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

N	H ≅ G/N	type
2. C₂²×#13093959	C₂	semidirect
4. #20243424	C₂	direct (N × H)
5. C₂×#15688887	C₂	semidirect
15. C₂×#13093959	C₂²	semidirect
19. #15688887	C₂²	semidirect
119. C₂³×C₄₇	#108	semidirect
163. C₂²×C₄₇	C₂×#108	semidirect
181. C₂×C₄₇	#1810	semidirect
202. C₄₇	C₂×#1810	semidirect
297. C₂³	#13093959	semidirect
340. C₂²	C₂×#13093959	semidirect
352. C₂	#20243424	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂⁴×C₄₇⋊C₈	2
C₂²×#13093959	2
C₂×#15689087	2
#20243424	2
C₂×#15688887	2
C₂×C₄₇×#407	2
C₂×#1810	47

Subgroups — C2×#20243424 #26215890

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20243424 #26215890