Subgroups — C₂×#20254038 #27086112

Order 12032.

2098 conjugacy classes of subgroups.

The subgroup lattice has 370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689728	C₂	1	2	yes	maximal, complemented
2	#20254038	C₂	1	16	yes	maximal, direct product factor
3	C₂×#15689525	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#15689500	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15689488	C₂	1	2	yes	maximal, complemented
6	C₂×#15689376	C₂	1	2	yes	maximal, complemented
7	C₂×#15689359	C₂	1	2	yes	maximal, complemented
8	C₂×#15689236	C₂	1	2	yes	maximal, complemented
9	C₂×C₄×D₃₇₆	C₂	1	2	yes	maximal, complemented
10	C₂×C₄₇×#405	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²×D₃₇₆	C₂²	1	2	yes	—
12	C₂²×D₃₇₆	C₂²	1	2	yes	—
13	#15689728	—	2	8	no	—
14	#15689728	C₂²	1	16	yes	complemented
15	C₂×#13094021	C₂²	1	2	yes	—
16	C₂×#13094016	C₂²	1	2	yes	—
17	C₂×#13094009	—	2	4	no	—
18	C₂×#13093998	C₂²	1	4	yes	—
19	C₂×#13093997	—	2	4	no	—
20	C₂×C₄×D₁₈₈	C₂²	1	4	yes	—
21	#15689525	C₂²	1	8	yes	complemented
22	#15689500	C₂²	1	8	yes	complemented
23	#15689488	C₂²	1	16	yes	complemented
24	#15689376	C₂²	1	16	yes	complemented
25	#15689359	C₂²	1	16	yes	complemented
26	#15689236	C₂²	1	16	yes	complemented
27	C₄×D₃₇₆	C₂²	1	16	yes	complemented
28	C₂×#13093958	C₂²	1	2	yes	—
29	C₂×#13093956	C₂²	1	2	yes	—
30	C₂×#13093946	C₂²	1	4	yes	—
31	C₂×#13093946	C₂²	1	4	yes	—
32	C₂²×M₁₆×C₄₇	C₂²	1	1	yes	characteristic
33	C₂³×C₈×C₄₇	C₂²	1	1	yes	characteristic
34	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
35	C₄₇×#405	C₂²	1	8	yes	complemented
36	C₂×#97×C₄₇	C₂²	1	1	yes	characteristic
37	C₂×#97×C₄₇	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
40	C₂²×D₁₈₈	—	2	4	no	—
41	C₂²×D₁₈₈	C₂³	1	4	yes	—
42	C₂²×C₂²⋊D₄₇	—	2	4	no	—
43	C₂²×C₄×D₄₇	—	2	4	no	—
44	C₂×D₃₇₆	—	2	8	no	—
45	C₂×D₃₇₆	—	2	8	no	—
46	C₂×D₃₇₆	C₂³	1	8	yes	—
47	C₂×D₃₇₆	C₂³	1	8	yes	—
48	#13094021	—	2	4	no	—
49	#13094021	C₂³	1	8	yes	—
50	#13094016	—	2	4	no	—
51	#13094016	C₂³	1	8	yes	—
52	#13094009	—	2	32	no	—
53	#13093998	—	2	8	no	—
54	#13093998	C₂³	1	16	yes	—
55	#13093997	—	2	32	no	—
56	C₄×D₁₈₈	—	2	8	no	—
57	C₄×D₁₈₈	C₂³	1	16	yes	—
58	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
59	C₂×Dic₄₇⋊C₄	—	2	4	no	—
60	C₂×(C₂×D₄₇)⋊C₄	—	2	4	no	—
61	C₂×(C₂×D₄₇)⋊C₄	—	2	4	no	—
62	#13093958	C₂³	1	8	yes	—
63	#13093956	C₂³	1	8	yes	—
64	#13093946	C₂³	1	16	yes	—
65	#13093946	C₂³	1	16	yes	—
66	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
67	C₂×M₁₆×C₄₇	—	2	4	no	—
68	C₂×M₁₆×C₄₇	C₂³	1	4	yes	—
69	C₂²×C₈×C₄₇	—	2	4	no	—
70	C₂²×C₈×C₄₇	C₂³	1	4	yes	—
71	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
72	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
73	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
74	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
75	#117×C₄₇	D₄	1	4	yes	—
76	#117×C₄₇	C₂³	1	4	yes	—
77	C₂×C₄⋊C₄×C₄₇	D₄	1	2	yes	—
78	C₂×C₂²⋊C₄×C₄₇	D₄	1	2	yes	—
79	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
80	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
81	#97×C₄₇	C₂³	1	4	yes	—
82	#97×C₄₇	C₂³	1	4	yes	—
83	C₄×C₈×C₄₇	C₂³	1	4	yes	—
84	C₄×C₈×C₄₇	C₂³	1	4	yes	—
85	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
86	C₂³×D₄₇	—	2	4	no	—
87	C₂²×C₄×C₄₇	—	2	2	no	—
88	C₂²×C₄×C₄₇	—	2	2	no	—
89	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
90	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
91	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
93	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
94	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
95	C₂×C₂²⋊D₄₇	—	2	16	no	—
96	C₂×C₂²⋊D₄₇	—	8	8	no	—
97	C₂²×Dic₄₇	—	2	4	no	—
98	C₂×D₁₈₈	—	2	8	no	—
99	C₂×D₁₈₈	—	2	8	no	—
100	C₂×D₁₈₈	—	2	4	no	—
101	C₂×D₁₈₈	—	2	16	no	—
102	C₂×D₁₈₈	—	8	8	no	—
103	C₂×D₁₈₈	C₂⁴	1	8	yes	—
104	C₂×C₄×D₄₇	—	2	16	no	—
105	C₂×C₄×D₄₇	—	8	8	no	—
106	M₁₆×C₄₇	—	2	8	no	—
107	C₂×C₈×C₄₇	—	2	2	no	—
108	C₂×C₈×C₄₇	—	2	2	no	—
109	C₂×C₈×C₄₇	—	2	8	no	—
110	C₂×C₈×C₄₇	#41	1	4	yes	—
111	C₂×C₈×C₄₇	#41	1	4	yes	—
112	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
113	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
114	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
115	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
116	C₄⋊C₄×C₄₇	C₂×D₄	1	8	yes	—
117	C₂²⋊C₄×C₄₇	C₂×D₄	1	8	yes	—
118	C₄²×C₄₇	C₂×D₄	1	2	yes	—
119	C₄²×C₄₇	C₂×D₄	1	2	yes	—
120	C₄²×C₄₇	C₂⁴	1	2	yes	—
121	C₄²×C₄₇	C₂⁴	1	2	yes	—
122	(C₂×D₄₇)⋊C₄	—	2	16	no	—
123	(C₂×D₄₇)⋊C₄	—	2	16	no	—
124	C₄⋊Dic₄₇	—	2	4	no	—
125	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
126	Dic₄₇⋊C₄	—	2	16	no	—
127	D₃₇₆	—	2	16	no	—
128	D₃₇₆	—	2	16	no	—
129	C₂³×C₄₇	—	2	2	no	—
130	C₂³×C₄₇	—	2	4	no	—
131	C₂³×C₄₇	C₂²×D₄	1	2	yes	—
132	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
133	C₂²×D₄₇	—	2	8	no	—
134	C₂²×D₄₇	—	4	8	no	—
135	C₂²×D₄₇	—	4	8	no	—
136	C₂²×D₄₇	—	4	8	no	—
137	C₂×C₄×C₄₇	—	2	2	no	—
138	C₂×C₄×C₄₇	—	2	4	no	—
139	C₂×C₄×C₄₇	—	2	4	no	—
140	C₂×C₄×C₄₇	—	2	4	no	—
141	C₂×C₄×C₄₇	—	2	2	no	—
142	C₂×C₄×C₄₇	—	2	2	no	—
143	C₂×C₄×C₄₇	C₂²×D₄	1	4	yes	—
144	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
145	C₂×C₄×C₄₇	C₂²×D₄	1	4	yes	—
146	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
147	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
148	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
149	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
150	C₂²⋊D₄₇	—	8	16	no	—
151	C₂×Dic₄₇	—	2	8	no	—
152	C₂×Dic₄₇	—	4	8	no	—
153	D₁₈₈	—	2	8	no	—
154	D₁₈₈	—	2	8	no	—
155	D₁₈₈	—	4	8	no	—
156	D₁₈₈	—	8	16	no	—
157	C₄×D₄₇	—	8	16	no	—
158	C₈×C₄₇	—	2	2	no	—
159	C₈×C₄₇	—	2	2	no	—
160	C₈×C₄₇	C₂×#41	1	4	yes	—
161	C₈×C₄₇	C₂×#41	1	4	yes	—
162	C₂×#3176	—	47	1	no	maximal, Sylow
163	C₂²×C₄₇	—	2	2	no	—
164	C₂²×C₄₇	—	2	4	no	—
165	C₂²×C₄₇	—	4	4	no	—
166	C₂²×C₄₇	#532	1	2	yes	—
167	C₂²×C₄₇	#576	1	4	yes	—
168	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
169	C₂×D₄₇	—	4	8	no	—
170	C₂×D₄₇	—	4	8	no	—
171	C₂×D₄₇	—	4	8	no	—
172	C₂×D₄₇	—	8	16	no	—
173	C₄×C₄₇	—	2	2	no	—
174	C₄×C₄₇	—	2	4	no	—
175	C₄×C₄₇	—	2	4	no	—
176	C₄×C₄₇	#532	1	2	yes	—
177	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
178	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
179	Dic₄₇	—	4	8	no	—
180	C₂×#540	—	47	2	no	—
181	#3176	—	47	16	no	—
182	C₂×#499	—	47	1	no	—
183	C₂×#493	—	47	1	no	—
184	C₂×#490	—	47	2	no	—
185	C₂×#469	—	47	2	no	—
186	C₂×#466	—	47	2	no	—
187	C₂×#442	—	47	2	no	—
188	C₂×C₄×D₈	—	47	2	no	—
189	C₂×#405	D₄₇	1	1	yes	characteristic, complemented
190	C₂×C₄₇	—	4	2	no	—
191	C₂×C₄₇	#3176	1	4	yes	complemented
192	C₂×C₄₇	C₂×#532	1	1	yes	characteristic
193	C₂×C₄₇	C₂×#576	1	2	yes	—
194	D₄₇	—	8	8	no	—
195	C₂²×D₈	—	47	2	no	—
196	C₂²×D₈	—	47	2	no	—
197	C₂²×M₁₆	C₂×D₄₇	1	1	yes	characteristic
198	C₂³×C₈	C₂×D₄₇	1	1	yes	characteristic
199	#540	—	47	16	no	—
200	#540	—	94	8	no	—
201	C₂×#127	—	47	2	no	—
202	C₂×#125	—	47	2	no	—
203	C₂×#123	—	94	4	no	—
204	C₂×#121	—	47	4	no	—
205	C₂×#121	—	94	4	no	—
206	C₂×C₄×D₄	—	47	4	no	—
207	C₂×#117	C₂×D₄₇	1	1	yes	characteristic
208	#499	—	47	8	no	—
209	#493	—	47	8	no	—
210	#490	—	47	16	no	—
211	#469	—	47	16	no	—
212	#466	—	47	16	no	—
213	#442	—	47	16	no	—
214	C₄×D₈	—	47	16	no	—
215	C₂×#107	—	47	2	no	—
216	C₂×#106	—	47	2	no	—
217	C₂×#102	—	47	4	no	—
218	C₂×#102	—	47	4	no	—
219	#405	C₂×D₄₇	1	8	yes	complemented
220	C₂×#97	C₂×D₄₇	1	1	yes	characteristic
221	C₂×#97	C₂×D₄₇	1	1	yes	characteristic
222	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
223	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
224	C₄₇	C₂×#3176	1	1	yes	characteristic, complemented, Sylow
225	C₂²×D₄	—	47	4	no	—
226	C₂²×D₄	—	94	4	no	—
227	C₂²×D₄	—	94	4	no	—
228	C₂³×C₄	—	94	4	no	—
229	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
230	C₂×D₈	—	47	8	no	—
231	C₂×D₈	—	47	8	no	—
232	C₂×D₈	—	94	8	no	—
233	C₂×D₈	—	94	8	no	—
234	C₂×M₁₆	—	2	4	no	—
235	C₂×M₁₆	C₂²×D₄₇	1	4	yes	—
236	C₂²×C₈	—	2	4	no	—
237	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
238	C₂²×C₈	C₂²×D₄₇	1	4	yes	—
239	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
240	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
241	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
242	#127	—	47	8	no	—
243	#127	—	94	4	no	—
244	#125	—	47	8	no	—
245	#125	—	94	4	no	—
246	#123	—	94	32	no	—
247	#121	—	47	16	no	—
248	#121	—	94	8	no	—
249	#121	—	94	32	no	—
250	C₄×D₄	—	47	16	no	—
251	C₄×D₄	—	94	8	no	—
252	#117	D₁₈₈	1	4	yes	—
253	#117	C₂²×D₄₇	1	4	yes	—
254	C₂×C₄⋊C₄	—	47	4	no	—
255	C₂×C₄⋊C₄	—	94	4	no	—
256	C₂×C₄⋊C₄	D₁₈₈	1	2	yes	—
257	C₂×C₂²⋊C₄	—	94	4	no	—
258	C₂×C₂²⋊C₄	—	94	4	no	—
259	C₂×C₂²⋊C₄	D₁₈₈	1	2	yes	—
260	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
261	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
262	#107	—	47	8	no	—
263	#106	—	47	8	no	—
264	#102	—	47	16	no	—
265	#102	—	47	16	no	—
266	#97	C₂²×D₄₇	1	4	yes	—
267	#97	C₂²×D₄₇	1	4	yes	—
268	C₄×C₈	C₂²×D₄₇	1	4	yes	—
269	C₄×C₈	C₂²×D₄₇	1	4	yes	—
270	C₂⁴	—	94	4	no	—
271	C₂⁴	C₂×D₁₈₈	1	1	yes	characteristic
272	C₂×D₄	—	47	8	no	—
273	C₂×D₄	—	94	16	no	—
274	C₂×D₄	—	94	16	no	—
275	C₂×D₄	—	94	4	no	—
276	C₂×D₄	—	94	8	no	—
277	C₂×D₄	—	94	8	no	—
278	C₂×D₄	—	376	8	no	—
279	C₂×D₄	—	376	8	no	—
280	C₂²×C₄	—	2	2	no	—
281	C₂²×C₄	—	2	2	no	—
282	C₂²×C₄	—	94	4	no	—
283	C₂²×C₄	—	94	16	no	—
284	C₂²×C₄	—	376	8	no	—
285	C₂²×C₄	C₂×D₁₈₈	1	2	yes	—
286	C₂²×C₄	C₂×D₁₈₈	1	2	yes	—
287	C₂²×C₄	C₂×D₁₈₈	1	2	yes	—
288	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
289	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
290	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
291	D₈	—	94	16	no	—
292	D₈	—	94	16	no	—
293	M₁₆	—	2	8	no	—
294	C₂×C₈	—	2	2	no	—
295	C₂×C₈	—	2	2	no	—
296	C₂×C₈	—	2	8	no	—
297	C₂×C₈	#10625350	1	4	yes	—
298	C₂×C₈	#10625350	1	4	yes	—
299	C₂×C₈	C₂³×D₄₇	1	2	yes	—
300	C₂×C₈	C₂³×D₄₇	1	2	yes	—
301	C₂×C₈	C₂³×D₄₇	1	2	yes	—
302	C₂×C₈	C₂³×D₄₇	1	2	yes	—
303	C₄⋊C₄	—	47	8	no	—
304	C₄⋊C₄	—	94	16	no	—
305	C₄⋊C₄	—	94	4	no	—
306	C₄⋊C₄	C₂×D₁₈₈	1	8	yes	—
307	C₂²⋊C₄	—	94	16	no	—
308	C₂²⋊C₄	—	94	16	no	—
309	C₂²⋊C₄	C₂×D₁₈₈	1	8	yes	—
310	C₄²	C₂×D₁₈₈	1	2	yes	—
311	C₄²	C₂×D₁₈₈	1	2	yes	—
312	C₄²	C₂³×D₄₇	1	2	yes	—
313	C₄²	C₂³×D₄₇	1	2	yes	—
314	C₂³	—	2	4	no	—
315	C₂³	—	2	2	no	—
316	C₂³	—	94	8	no	—
317	C₂³	—	188	8	no	—
318	C₂³	—	188	8	no	—
319	C₂³	—	188	8	no	—
320	C₂³	C₂²×D₁₈₈	1	2	yes	—
321	C₂³	C₂²×D₁₈₈	1	1	yes	characteristic
322	D₄	—	94	8	no	—
323	D₄	—	94	8	no	—
324	D₄	—	376	16	no	—
325	D₄	—	376	16	no	—
326	D₄	—	188	8	no	—
327	C₂×C₄	—	2	4	no	—
328	C₂×C₄	—	2	4	no	—
329	C₂×C₄	—	2	2	no	—
330	C₂×C₄	—	2	4	no	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	2	2	no	—
333	C₂×C₄	—	94	8	no	—
334	C₂×C₄	—	376	16	no	—
335	C₂×C₄	—	188	8	no	—
336	C₂×C₄	C₂²×D₁₈₈	1	4	yes	—
337	C₂×C₄	C₂²×D₁₈₈	1	4	yes	—
338	C₂×C₄	C₂²×D₁₈₈	1	2	yes	—
339	C₂×C₄	C₂²×D₁₈₈	1	1	yes	characteristic
340	C₂×C₄	C₂×#10625350	1	2	yes	—
341	C₂×C₄	C₂×#10625350	1	2	yes	—
342	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
343	C₈	—	2	2	no	—
344	C₈	—	2	2	no	—
345	C₈	C₂×#10625350	1	4	yes	—
346	C₈	C₂×#10625350	1	4	yes	—
347	C₂²	—	2	4	no	—
348	C₂²	—	2	2	no	—
349	C₂²	—	4	4	no	—
350	C₂²	—	376	16	no	—
351	C₂²	—	188	8	no	—
352	C₂²	—	188	8	no	—
353	C₂²	—	188	8	no	—
354	C₂²	#15689673	1	2	yes	—
355	C₂²	#15689928	1	4	yes	—
356	C₂²	C₂³×D₁₈₈	1	1	yes	characteristic
357	C₄	—	2	4	no	—
358	C₄	—	2	4	no	—
359	C₄	—	2	2	no	—
360	C₄	—	188	8	no	—
361	C₄	#15689673	1	2	yes	—
362	C₄	C₂²×#10625350	1	1	yes	characteristic
363	C₄	C₂²×#10625350	1	1	yes	characteristic
364	C₂	—	4	2	no	—
365	C₂	—	376	8	no	—
366	C₂	#20254038	1	4	yes	direct product factor
367	C₂	C₂×#15689673	1	1	yes	characteristic
368	C₂	C₂×#15689928	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂²×D₁₈₈
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₂×C₄₇×#405	C₂
socle	C₂³×C₄₇	C₂²×D₄
hypercenter	C₂×#405	D₄₇
hypocenter	C₄₇	C₂×#3176
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#117 ◁ C₂×#405

Complements

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

N	H ≅ G/N	type
1. C₂×#15689728	C₂	semidirect
2. #20254038	C₂	direct (N × H)
3. C₂×#15689525	C₂	semidirect
4. C₂×#15689500	C₂	semidirect
5. C₂×#15689488	C₂	semidirect
6. C₂×#15689376	C₂	semidirect
7. C₂×#15689359	C₂	semidirect
8. C₂×#15689236	C₂	semidirect
9. C₂×C₄×D₃₇₆	C₂	semidirect
10. C₂×C₄₇×#405	C₂	semidirect
14. #15689728	C₂²	semidirect
21. #15689525	C₂²	semidirect
22. #15689500	C₂²	semidirect
23. #15689488	C₂²	semidirect
24. #15689376	C₂²	semidirect
25. #15689359	C₂²	semidirect
26. #15689236	C₂²	semidirect
27. C₄×D₃₇₆	C₂²	semidirect
35. C₄₇×#405	C₂²	semidirect
189. C₂×#405	D₄₇	semidirect
191. C₂×C₄₇	#3176	semidirect
219. #405	C₂×D₄₇	semidirect
224. C₄₇	C₂×#3176	semidirect
366. C₂	#20254038	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×#15689728	2
#20254038	2
C₂×#15689525	2
C₂×#15689500	2
C₂×#15689488	2
C₂×#15689376	2
C₂×#15689359	2
C₂×#15689236	2
C₂×C₄×D₃₇₆	2
C₂×C₄₇×#405	2
C₂×#3176	47

Subgroups — C2×#20254038 #27086112

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20254038 #27086112