Subgroups — #26316105

Order 12032.

978 conjugacy classes of subgroups.

The subgroup lattice has 380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×#13094021	C₂	1	1	yes	maximal, characteristic
2	#20244521	C₂	1	4	yes	maximal, complemented
3	#20244193	C₂	1	2	yes	maximal
4	#20243515	C₂	1	2	yes	maximal, complemented
5	#20243385	C₂	1	4	yes	maximal, complemented
6	C₄×C₄⋊(C₄₇⋊C₈)	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₇×#2868	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#13094021	C₂²	1	1	yes	characteristic
9	C₂×C₄×D₁₈₈	—	2	1	no	—
10	C₂×C₄×D₁₈₈	—	2	1	no	—
11	C₂×C₄×D₁₈₈	C₂²	1	2	yes	—
12	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	2	yes	—
13	C₂×#13093944	C₂²	1	8	yes	—
14	C₂×C₄×C₄₇⋊C₈	C₂²	1	2	yes	—
15	#15689025	—	2	1	no	—
16	#15689025	—	2	1	no	—
17	#15689025	C₂²	1	2	yes	—
18	#15688993	C₂²	1	1	yes	characteristic
19	#15688885	C₂²	1	8	yes	—
20	#15688878	C₂²	1	2	yes	—
21	C₂×C₄⋊Q₈×C₄₇	—	2	1	no	—
22	C₂×C₄⋊Q₈×C₄₇	—	2	1	no	—
23	C₂×C₄⋊Q₈×C₄₇	C₂²	1	2	yes	—
24	C₄₇×#384	—	2	1	no	—
25	C₄₇×#384	—	2	1	no	—
26	C₄₇×#384	C₂²	1	2	yes	—
27	C₄₇×#384	C₂²	1	2	yes	—
28	C₄³×C₄₇	C₂²	1	1	yes	characteristic
29	C₂²×D₁₈₈	—	2	1	no	—
30	C₂²×D₁₈₈	—	2	1	no	—
31	C₂²×D₁₈₈	C₂³	1	2	yes	—
32	C₂²×C₄×D₄₇	—	2	2	no	—
33	C₂²×C₄₇⋊C₈	C₂³	1	4	yes	—
34	#13094021	—	2	2	no	—
35	#13094021	Q₈	1	4	yes	complemented
36	C₄×D₁₈₈	—	2	8	no	—
37	C₄×D₁₈₈	—	4	4	no	—
38	C₄×D₁₈₈	—	4	4	no	—
39	C₂×C₄⋊Dic₄₇	—	2	1	no	—
40	C₂×C₄⋊Dic₄₇	—	2	1	no	—
41	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
42	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
43	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
44	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
45	C₄⋊(C₄₇⋊C₈)	—	2	4	no	—
46	#13093944	—	4	8	no	—
47	C₄×C₄₇⋊C₈	—	2	4	no	—
48	C₂²×Q₈×C₄₇	—	2	2	no	—
49	C₄⋊Q₈×C₄₇	—	4	4	no	—
50	C₄⋊Q₈×C₄₇	—	4	4	no	—
51	C₄⋊Q₈×C₄₇	—	4	4	no	—
52	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
53	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
54	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
55	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
56	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
57	C₂×C₄⋊C₄×C₄₇	C₂³	1	4	yes	—
58	C₂×C₄²×C₄₇	D₄	1	1	yes	characteristic
59	C₂×C₄²×C₄₇	D₄	1	1	yes	characteristic
60	C₂×C₄²×C₄₇	D₄	1	1	yes	characteristic
61	C₂×C₄²×C₄₇	D₄	1	1	yes	characteristic
62	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
63	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
64	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
65	C₂³×D₄₇	—	2	2	no	—
66	C₂×Q₈×C₄₇	—	4	4	no	—
67	C₂×Q₈×C₄₇	—	4	4	no	—
68	C₂×Q₈×C₄₇	—	4	4	no	—
69	C₂²×C₄×C₄₇	—	2	4	no	—
70	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
71	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
72	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
73	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
74	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
75	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
76	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
77	C₂²×Dic₄₇	—	2	2	no	—
78	C₂×D₁₈₈	—	2	4	no	—
79	C₂×D₁₈₈	—	2	4	no	—
80	C₂×D₁₈₈	—	2	4	no	—
81	C₂×D₁₈₈	—	2	4	no	—
82	C₂×D₁₈₈	—	2	2	no	—
83	C₂×D₁₈₈	—	4	2	no	—
84	C₂×D₁₈₈	—	4	2	no	—
85	C₂×D₁₈₈	—	4	2	no	—
86	C₂×D₁₈₈	—	4	2	no	—
87	C₂×D₁₈₈	C₂×Q₈	1	4	yes	—
88	C₂×C₄×D₄₇	—	4	4	no	—
89	C₂×C₄×D₄₇	—	4	4	no	—
90	C₂×C₄×D₄₇	—	4	4	no	—
91	C₄⋊C₄×C₄₇	—	2	8	no	—
92	C₄⋊C₄×C₄₇	—	4	4	no	—
93	C₄⋊C₄×C₄₇	—	4	4	no	—
94	C₄⋊C₄×C₄₇	—	4	4	no	—
95	C₄⋊C₄×C₄₇	—	4	4	no	—
96	C₄⋊C₄×C₄₇	—	4	4	no	—
97	C₄²×C₄₇	—	2	2	no	—
98	C₄²×C₄₇	—	2	2	no	—
99	C₄²×C₄₇	—	2	2	no	—
100	C₄²×C₄₇	D₈	1	4	yes	—
101	C₄²×C₄₇	SD₁₆	1	4	yes	—
102	C₄²×C₄₇	C₂×Q₈	1	2	yes	—
103	C₄²×C₄₇	#41	1	2	yes	—
104	C₄²×C₄₇	#41	1	4	yes	—
105	(C₂×D₄₇)⋊C₄	—	4	4	no	—
106	(C₂×D₄₇)⋊C₄	—	4	4	no	—
107	(C₂×D₄₇)⋊C₄	—	4	4	no	—
108	C₄⋊Dic₄₇	—	2	4	no	—
109	C₄⋊Dic₄₇	—	4	2	no	—
110	C₄⋊Dic₄₇	—	4	2	no	—
111	C₂×C₄₇⋊C₈	—	2	4	no	—
112	C₂×C₄₇⋊C₈	—	2	4	no	—
113	C₂×C₄₇⋊C₈	—	2	4	no	—
114	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
115	C₂²×D₄₇	—	2	4	no	—
116	C₂²×D₄₇	—	4	2	no	—
117	C₂²×D₄₇	—	4	2	no	—
118	C₂²×D₄₇	—	4	2	no	—
119	C₂²×D₄₇	—	4	2	no	—
120	C₂²×D₄₇	—	4	2	no	—
121	C₂²×D₄₇	—	4	2	no	—
122	Q₈×C₄₇	—	8	8	no	—
123	C₂×C₄×C₄₇	—	2	1	no	—
124	C₂×C₄×C₄₇	—	2	1	no	—
125	C₂×C₄×C₄₇	—	2	1	no	—
126	C₂×C₄×C₄₇	—	2	1	no	—
127	C₂×C₄×C₄₇	—	2	1	no	—
128	C₂×C₄×C₄₇	—	2	1	no	—
129	C₂×C₄×C₄₇	—	4	4	no	—
130	C₂×C₄×C₄₇	—	4	4	no	—
131	C₂×C₄×C₄₇	—	4	4	no	—
132	C₂×C₄×C₄₇	C₂²⋊Q₈	1	2	yes	—
133	C₂×C₄×C₄₇	C₂²⋊Q₈	1	2	yes	—
134	C₂×C₄×C₄₇	#124	1	2	yes	—
135	C₂×C₄×C₄₇	#124	1	2	yes	—
136	C₂×C₄×C₄₇	C₂×D₈	1	2	yes	—
137	C₂×C₄×C₄₇	C₂×D₈	1	2	yes	—
138	C₂×C₄×C₄₇	C₂×D₈	1	2	yes	—
139	C₂×C₄×C₄₇	C₂×SD₁₆	1	2	yes	—
140	C₂×C₄×C₄₇	C₂×SD₁₆	1	2	yes	—
141	C₂×C₄×C₄₇	C₂×SD₁₆	1	2	yes	—
142	C₂×C₄×C₄₇	AGL(1,ℤ/8)	1	2	yes	—
143	C₂×C₄×C₄₇	#137	1	2	yes	—
144	C₂×C₄×C₄₇	C₂²×Q₈	1	1	yes	characteristic
145	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
146	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
147	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
148	C₂×Dic₄₇	—	4	2	no	—
149	C₂×Dic₄₇	—	4	2	no	—
150	C₂×Dic₄₇	—	4	2	no	—
151	D₁₈₈	—	2	8	no	—
152	D₁₈₈	—	4	4	no	—
153	D₁₈₈	—	4	8	no	—
154	D₁₈₈	—	4	8	no	—
155	C₄×D₄₇	—	8	8	no	—
156	C₄₇⋊C₈	—	4	4	no	—
157	#29139	—	47	1	no	maximal, Sylow
158	C₂²×C₄₇	C₂×C₂²⋊Q₈	1	1	yes	characteristic
159	C₂²×C₄₇	C₂×#124	1	1	yes	characteristic
160	C₂²×C₄₇	#535	1	1	yes	characteristic
161	C₂²×C₄₇	C₂²×D₈	1	1	yes	characteristic
162	C₂²×C₄₇	C₂²×SD₁₆	1	1	yes	characteristic
163	C₂²×C₄₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
164	C₂²×C₄₇	C₂×#137	1	1	yes	characteristic
165	C₂×D₄₇	—	4	4	no	—
166	C₂×D₄₇	—	4	4	no	—
167	C₂×D₄₇	—	4	4	no	—
168	C₂×D₄₇	—	8	2	no	—
169	C₂×D₄₇	—	8	2	no	—
170	C₂×D₄₇	—	8	2	no	—
171	C₂×D₄₇	—	8	2	no	—
172	C₄×C₄₇	—	2	2	no	—
173	C₄×C₄₇	—	2	2	no	—
174	C₄×C₄₇	—	2	2	no	—
175	C₄×C₄₇	—	8	4	no	—
176	C₄×C₄₇	#474	1	4	yes	—
177	C₄×C₄₇	#476	1	4	yes	—
178	C₄×C₄₇	#486	1	4	yes	—
179	C₄×C₄₇	#554	1	2	yes	—
180	C₄×C₄₇	#555	1	2	yes	—
181	Dic₄₇	—	8	2	no	—
182	#2868	D₄₇	1	1	yes	characteristic, complemented
183	C₄×#127	—	47	1	no	—
184	#2023	—	47	4	no	—
185	#1957	—	47	2	no	—
186	#1834	—	47	2	no	—
187	#1802	—	47	4	no	—
188	C₄×C₄⋊C₈	—	47	1	no	—
189	C₂×C₄₇	#2563	1	1	yes	characteristic
190	C₂×C₄₇	C₂×#474	1	1	yes	characteristic
191	C₂×C₄₇	C₂×#476	1	1	yes	characteristic
192	C₂×C₄₇	C₂×#486	1	1	yes	characteristic
193	C₂×C₄₇	#3141	1	1	yes	characteristic
194	C₂×C₄₇	#3205	1	1	yes	characteristic
195	C₂×C₄₇	#3206	1	1	yes	characteristic
196	D₄₇	—	8	4	no	—
197	C₂×C₄⋊Q₈	—	2	1	no	—
198	C₂×C₄⋊Q₈	—	2	1	no	—
199	C₂×C₄⋊Q₈	C₂×D₄₇	1	2	yes	—
200	C₂×#127	—	47	1	no	—
201	C₂×C₄×D₄	—	47	2	no	—
202	C₂×C₄×D₄	—	94	1	no	—
203	C₂×C₄×D₄	—	94	1	no	—
204	C₂×C₄⋊C₈	—	47	2	no	—
205	C₂×#102	—	47	8	no	—
206	C₂×C₄×C₈	—	47	2	no	—
207	#390	—	47	2	no	—
208	#390	—	94	1	no	—
209	#390	—	94	1	no	—
210	#384	—	2	1	no	—
211	#384	—	2	1	no	—
212	#384	—	47	1	no	—
213	#384	C₂×D₄₇	1	2	yes	—
214	#384	C₂×D₄₇	1	2	yes	—
215	C₄³	C₂×D₄₇	1	1	yes	characteristic
216	#340	—	47	8	no	—
217	#336	—	47	2	no	—
218	C₄₇	#29139	1	1	yes	characteristic, complemented, Sylow
219	C₂²×Q₈	—	2	2	no	—
220	C₂²×D₄	—	47	2	no	—
221	C₂²×D₄	—	94	1	no	—
222	C₂²×D₄	—	94	1	no	—
223	C₂³×C₄	—	94	2	no	—
224	C₂²×C₈	—	47	4	no	—
225	C₄⋊Q₈	—	4	4	no	—
226	C₄⋊Q₈	—	4	4	no	—
227	C₄⋊Q₈	—	4	4	no	—
228	#127	—	47	4	no	—
229	#127	—	94	2	no	—
230	C₄×D₄	—	94	8	no	—
231	C₄×D₄	—	188	4	no	—
232	C₄×D₄	—	188	4	no	—
233	C₂×C₄⋊C₄	—	2	2	no	—
234	C₂×C₄⋊C₄	—	2	2	no	—
235	C₂×C₄⋊C₄	—	2	2	no	—
236	C₂×C₄⋊C₄	—	2	2	no	—
237	C₂×C₄⋊C₄	—	2	2	no	—
238	C₂×C₄⋊C₄	—	47	2	no	—
239	C₂×C₄⋊C₄	—	94	1	no	—
240	C₂×C₄⋊C₄	—	94	1	no	—
241	C₂×C₄⋊C₄	C₂²×D₄₇	1	4	yes	—
242	C₂×C₂²⋊C₄	—	94	2	no	—
243	C₂×C₂²⋊C₄	—	94	2	no	—
244	C₂×C₂²⋊C₄	—	94	2	no	—
245	C₂×C₄²	C₂²⋊D₄₇	1	1	yes	characteristic
246	C₂×C₄²	C₂²⋊D₄₇	1	1	yes	characteristic
247	C₂×C₄²	C₂²⋊D₄₇	1	1	yes	characteristic
248	C₂×C₄²	C₂²⋊D₄₇	1	1	yes	characteristic
249	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
250	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
251	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
252	C₄⋊C₈	—	94	4	no	—
253	#102	—	188	8	no	—
254	C₄×C₈	—	94	4	no	—
255	C₂⁴	—	94	2	no	—
256	C₂×Q₈	—	4	4	no	—
257	C₂×Q₈	—	4	4	no	—
258	C₂×Q₈	—	4	4	no	—
259	C₂×D₄	—	47	4	no	—
260	C₂×D₄	—	94	4	no	—
261	C₂×D₄	—	94	4	no	—
262	C₂×D₄	—	94	4	no	—
263	C₂×D₄	—	94	2	no	—
264	C₂×D₄	—	94	4	no	—
265	C₂×D₄	—	188	2	no	—
266	C₂×D₄	—	188	2	no	—
267	C₂×D₄	—	188	2	no	—
268	C₂×D₄	—	188	2	no	—
269	C₂²×C₄	—	2	4	no	—
270	C₂²×C₄	—	94	2	no	—
271	C₂²×C₄	—	188	4	no	—
272	C₂²×C₄	—	188	4	no	—
273	C₂²×C₄	—	188	4	no	—
274	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
275	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
276	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
277	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
278	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
279	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
280	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
281	C₂×C₈	—	94	4	no	—
282	C₂×C₈	—	94	4	no	—
283	C₂×C₈	—	94	4	no	—
284	C₄⋊C₄	—	2	8	no	—
285	C₄⋊C₄	—	4	4	no	—
286	C₄⋊C₄	—	4	4	no	—
287	C₄⋊C₄	—	4	4	no	—
288	C₄⋊C₄	—	4	4	no	—
289	C₄⋊C₄	—	4	4	no	—
290	C₄⋊C₄	—	94	4	no	—
291	C₄⋊C₄	—	188	2	no	—
292	C₄⋊C₄	—	188	2	no	—
293	C₂²⋊C₄	—	188	4	no	—
294	C₂²⋊C₄	—	188	4	no	—
295	C₂²⋊C₄	—	188	4	no	—
296	C₄²	—	2	2	no	—
297	C₄²	—	2	2	no	—
298	C₄²	—	2	2	no	—
299	C₄²	#10625334	1	4	yes	—
300	C₄²	#10625336	1	4	yes	—
301	C₄²	Q₈×D₄₇	1	2	yes	—
302	C₄²	#10625354	1	2	yes	—
303	C₄²	#10625354	1	4	yes	—
304	C₂³	—	94	4	no	—
305	C₂³	—	188	2	no	—
306	C₂³	—	188	2	no	—
307	C₂³	—	188	2	no	—
308	C₂³	—	188	2	no	—
309	C₂³	—	188	2	no	—
310	C₂³	—	188	2	no	—
311	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
312	Q₈	—	8	8	no	—
313	D₄	—	94	8	no	—
314	D₄	—	188	4	no	—
315	D₄	—	188	8	no	—
316	D₄	—	188	8	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	4	4	no	—
324	C₂×C₄	—	4	4	no	—
325	C₂×C₄	—	4	4	no	—
326	C₂×C₄	—	376	8	no	—
327	C₂×C₄	—	188	2	no	—
328	C₂×C₄	—	188	2	no	—
329	C₂×C₄	—	188	2	no	—
330	C₂×C₄	#13094000	1	2	yes	—
331	C₂×C₄	#13094000	1	2	yes	—
332	C₂×C₄	#13094013	1	2	yes	—
333	C₂×C₄	#13094013	1	2	yes	—
334	C₂×C₄	C₂×#10625334	1	2	yes	—
335	C₂×C₄	C₂×#10625334	1	2	yes	—
336	C₂×C₄	C₂×#10625334	1	2	yes	—
337	C₂×C₄	C₂×#10625336	1	2	yes	—
338	C₂×C₄	C₂×#10625336	1	2	yes	—
339	C₂×C₄	C₂×#10625336	1	2	yes	—
340	C₂×C₄	#13094050	1	2	yes	—
341	C₂×C₄	#13094055	1	2	yes	—
342	C₂×C₄	C₂×Q₈×D₄₇	1	1	yes	characteristic
343	C₂×C₄	C₂×#10625354	1	2	yes	—
344	C₂×C₄	C₂×#10625354	1	1	yes	characteristic
345	C₂×C₄	#13094069	1	2	yes	—
346	C₈	—	188	4	no	—
347	C₂²	—	376	2	no	—
348	C₂²	—	376	2	no	—
349	C₂²	—	376	2	no	—
350	C₂²	—	376	2	no	—
351	C₂²	—	188	4	no	—
352	C₂²	—	188	4	no	—
353	C₂²	—	188	4	no	—
354	C₂²	C₂×#13094000	1	1	yes	characteristic
355	C₂²	C₂×#13094013	1	1	yes	characteristic
356	C₂²	#15689690	1	1	yes	characteristic
357	C₂²	C₂²×#10625334	1	1	yes	characteristic
358	C₂²	C₂²×#10625336	1	1	yes	characteristic
359	C₂²	C₂×#13094050	1	1	yes	characteristic
360	C₂²	C₂×#13094055	1	1	yes	characteristic
361	C₄	—	2	2	no	—
362	C₄	—	2	2	no	—
363	C₄	—	2	2	no	—
364	C₄	—	8	4	no	—
365	C₄	—	376	2	no	—
366	C₄	#15689400	1	4	yes	—
367	C₄	#15689410	1	4	yes	—
368	C₄	#15689471	1	4	yes	—
369	C₄	#15689834	1	2	yes	—
370	C₄	#15689839	1	2	yes	—
371	C₂	—	376	4	no	—
372	C₂	#20248562	1	1	yes	characteristic
373	C₂	C₂×#15689400	1	1	yes	characteristic
374	C₂	C₂×#15689410	1	1	yes	characteristic
375	C₂	C₂×#15689471	1	1	yes	characteristic
376	C₂	#20253784	1	1	yes	characteristic
377	C₂	#20254306	1	1	yes	characteristic
378	C₂	#20254313	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂²×C₂²⋊D₄₇
commutator, cosocle	C₂²×C₄×C₄₇	C₂⁴
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting	C₄₇×#2868	C₂
socle	C₂³×C₄₇	C₂²×D₄
prime radical	C₂×#13094021	C₂²
hypercenter	#2868	D₄₇
hypocenter	C₄₇	#29139
LCS	G ▷ C₂²×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₄³ ◁ #2868

Complements

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

N	H ≅ G/N	type
2. #20244521	C₂	semidirect
4. #20243515	C₂	semidirect
5. #20243385	C₂	semidirect
6. C₄×C₄⋊(C₄₇⋊C₈)	C₂	semidirect
7. C₄₇×#2868	C₂	semidirect
35. #13094021	Q₈	semidirect
182. #2868	D₄₇	semidirect
218. C₄₇	#29139	semidirect

Maximal subgroups

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

subgroup	index
C₄×#13094021	2
#20244521	2
#20244193	2
#20243515	2
#20243385	2
C₄×C₄⋊(C₄₇⋊C₈)	2
C₄₇×#2868	2
#29139	47