Subgroups — #26373095

Order 12032.

654 conjugacy classes of subgroups.

The subgroup lattice has 390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄×D₃₇₆	C₂	1	1	yes	maximal, characteristic, complemented
2	#20245613	C₂	1	1	yes	maximal, characteristic, complemented
3	#20245568	C₂	1	2	yes	maximal, complemented
4	#20245522	C₂	1	1	yes	maximal, characteristic, complemented
5	#20245472	C₂	1	2	yes	maximal, complemented
6	#20245423	C₂	1	1	yes	maximal, characteristic, complemented
7	#20245299	C₂	1	2	yes	maximal, complemented
8	C₄×#13093965	C₂	1	1	yes	maximal, characteristic, complemented
9	D₄×C₄₇⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#15688923	C₂	1	2	yes	maximal, complemented
11	C₄₇×#3334	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×D₃₇₆	C₂²	1	2	yes	—
13	D₄×D₁₈₈	—	2	1	no	—
14	C₂×#13093965	C₂²	1	1	yes	characteristic
15	C₂×#13093965	C₂²	1	2	yes	complemented
16	C₂²×C₄₇⋊C₁₆	C₂²	1	2	yes	complemented
17	#15689500	C₂²	1	1	yes	characteristic
18	#15689359	C₂²	1	2	yes	—
19	#15689319	—	2	1	no	—
20	#15689259	—	2	2	no	—
21	C₄×D₃₇₆	C₂²	1	1	yes	characteristic
22	#15688948	C₂²	1	2	yes	complemented
23	#15688948	C₂²	1	1	yes	characteristic, complemented
24	C₄⋊(C₄₇⋊C₁₆)	C₂²	1	1	yes	characteristic, complemented
25	#15688924	C₂²	1	1	yes	characteristic, complemented
26	#15688923	C₂²	1	2	yes	—
27	#15688923	C₂²	1	1	yes	characteristic
28	#15688923	C₂²	1	2	yes	complemented
29	#15688923	C₂²	1	2	yes	complemented
30	#15688923	C₂²	1	2	yes	complemented
31	C₂²⋊(C₄₇⋊C₁₆)	C₂²	1	2	yes	complemented
32	C₄×C₄₇⋊C₁₆	C₂²	1	1	yes	characteristic, complemented
33	C₄₇×#547	—	2	1	no	—
34	C₄₇×#500	C₂²	1	1	yes	characteristic, complemented
35	C₄₇×#480	—	2	2	no	—
36	C₄₇×#474	—	2	1	no	—
37	C₄₇×#466	C₂²	1	2	yes	complemented
38	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
39	C₈×D₄×C₄₇	C₂²	1	1	yes	characteristic
40	C₂×#107×C₄₇	C₂²	1	2	yes	complemented
41	C₂²×D₁₈₈	—	2	2	no	—
42	C₂×D₄×D₄₇	—	4	1	no	—
43	C₂×D₃₇₆	—	2	4	no	—
44	C₂×D₃₇₆	—	2	2	no	—
45	C₂×D₃₇₆	—	2	1	no	—
46	C₂×D₃₇₆	—	4	2	no	—
47	C₂×D₃₇₆	C₂³	1	2	yes	—
48	C₂×D₃₇₆	C₂³	1	1	yes	characteristic
49	#13094021	—	2	1	no	—
50	#13093999	—	4	1	no	—
51	#13093998	—	2	2	no	—
52	#13093994	—	4	2	no	—
53	C₄×D₁₈₈	—	2	1	no	—
54	#13093965	—	2	2	no	—
55	#13093965	—	4	2	no	—
56	C₂×C₄₇⋊C₁₆	—	4	2	no	—
57	C₂×C₄₇⋊C₁₆	C₂³	1	1	yes	characteristic
58	C₂×C₄₇⋊C₁₆	C₂³	1	2	yes	—
59	C₂×C₄₇⋊C₁₆	C₂³	1	1	yes	characteristic
60	#13093958	C₂³	1	1	yes	characteristic
61	#13093946	—	2	1	no	—
62	#13093946	—	2	2	no	—
63	C₂×#41×C₄₇	—	4	1	no	—
64	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
65	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
66	C₄⋊Q₈×C₄₇	—	2	1	no	—
67	#123×C₄₇	—	4	2	no	—
68	C₂²⋊Q₈×C₄₇	—	4	1	no	—
69	#121×C₄₇	—	2	2	no	—
70	C₄×D₄×C₄₇	—	2	1	no	—
71	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
72	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
73	#107×C₄₇	—	2	2	no	—
74	#107×C₄₇	—	2	1	no	—
75	#107×C₄₇	C₂³	1	2	yes	—
76	#107×C₄₇	C₂³	1	1	yes	characteristic
77	C₄⋊C₈×C₄₇	D₄	1	1	yes	characteristic
78	#102×C₄₇	—	2	2	no	—
79	#102×C₄₇	—	2	1	no	—
80	C₂²⋊C₈×C₄₇	D₄	1	2	yes	—
81	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
82	C₂³×D₄₇	—	4	2	no	—
83	#41×C₄₇	—	8	4	no	—
84	C₂×Q₈×C₄₇	—	4	1	no	—
85	C₂×D₄×C₄₇	—	2	1	no	—
86	C₂×D₄×C₄₇	—	4	2	no	—
87	C₂×D₄×C₄₇	D₈	1	1	yes	characteristic
88	C₂²×C₄×C₄₇	—	4	2	no	—
89	C₂²×C₄×C₄₇	—	4	1	no	—
90	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
91	C₂×C₂²⋊D₄₇	—	4	2	no	—
92	D₄×D₄₇	—	8	4	no	—
93	C₂×D₁₈₈	—	2	1	no	—
94	C₂×D₁₈₈	—	2	2	no	—
95	C₂×D₁₈₈	—	4	4	no	—
96	C₂×D₁₈₈	—	4	2	no	—
97	C₂×D₁₈₈	—	4	1	no	—
98	C₂×D₁₈₈	—	4	1	no	—
99	C₂×D₁₈₈	—	8	2	no	—
100	C₂×C₄×D₄₇	—	4	1	no	—
101	D₈×C₄₇	—	2	1	no	—
102	D₈×C₄₇	—	2	1	no	—
103	C₂×C₈×C₄₇	—	2	2	no	—
104	C₂×C₈×C₄₇	—	2	2	no	—
105	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
106	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
107	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
108	C₄⋊C₄×C₄₇	—	2	1	no	—
109	C₄⋊C₄×C₄₇	—	2	2	no	—
110	C₄⋊C₄×C₄₇	—	4	2	no	—
111	C₄⋊C₄×C₄₇	—	4	1	no	—
112	C₄⋊C₄×C₄₇	D₈	1	1	yes	characteristic
113	C₂²⋊C₄×C₄₇	—	4	1	no	—
114	C₂²⋊C₄×C₄₇	—	4	2	no	—
115	C₂²⋊C₄×C₄₇	D₈	1	2	yes	—
116	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
117	(C₂×D₄₇)⋊C₄	—	4	1	no	—
118	(C₂×D₄₇)⋊C₄	—	4	2	no	—
119	C₄⋊Dic₄₇	—	2	1	no	—
120	D₃₇₆	—	2	2	no	—
121	D₃₇₆	—	2	1	no	—
122	D₃₇₆	—	2	2	no	—
123	D₃₇₆	—	4	4	no	—
124	D₃₇₆	—	8	1	no	—
125	D₃₇₆	#41	1	2	yes	complemented
126	C₄₇⋊C₁₆	—	2	1	no	—
127	C₄₇⋊C₁₆	—	2	1	no	—
128	C₄₇⋊C₁₆	—	2	2	no	—
129	C₂³×C₄₇	—	4	1	no	—
130	C₂³×C₄₇	C₂×D₈	1	2	yes	—
131	C₂²×D₄₇	—	4	1	no	—
132	C₂²×D₄₇	—	4	2	no	—
133	C₂²×D₄₇	—	8	4	no	—
134	C₂²×D₄₇	—	8	4	no	—
135	C₂²×D₄₇	—	16	2	no	—
136	Q₈×C₄₇	—	8	2	no	—
137	D₄×C₄₇	—	4	1	no	—
138	D₄×C₄₇	—	4	1	no	—
139	D₄×C₄₇	—	8	4	no	—
140	D₄×C₄₇	D₁₆	1	4	yes	complemented
141	C₂×C₄×C₄₇	—	2	2	no	—
142	C₂×C₄×C₄₇	—	2	2	no	—
143	C₂×C₄×C₄₇	—	4	1	no	—
144	C₂×C₄×C₄₇	—	4	2	no	—
145	C₂×C₄×C₄₇	—	8	4	no	—
146	C₂×C₄×C₄₇	—	8	2	no	—
147	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
148	C₂×C₄×C₄₇	C₂×D₈	1	2	yes	—
149	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
150	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
151	C₂²⋊D₄₇	—	8	4	no	—
152	C₂×Dic₄₇	—	4	1	no	—
153	D₁₈₈	—	2	2	no	—
154	D₁₈₈	—	4	2	no	—
155	D₁₈₈	—	4	1	no	—
156	D₁₈₈	—	4	2	no	—
157	D₁₈₈	—	8	4	no	—
158	D₁₈₈	—	8	2	no	—
159	D₁₈₈	—	16	1	no	—
160	C₄×D₄₇	—	8	2	no	—
161	C₈×C₄₇	—	2	2	no	—
162	C₈×C₄₇	—	2	1	no	—
163	C₈×C₄₇	C₂×#41	1	1	yes	characteristic
164	C₈×C₄₇	H(5,𝔽₂)	1	1	yes	characteristic
165	#33861	—	47	1	no	maximal, Sylow
166	C₂²×C₄₇	—	2	2	no	—
167	C₂²×C₄₇	—	2	2	no	—
168	C₂²×C₄₇	—	8	1	no	—
169	C₂²×C₄₇	—	8	1	no	—
170	C₂²×C₄₇	—	8	1	no	—
171	C₂²×C₄₇	C₂×D₁₆	1	4	yes	—
172	C₂²×C₄₇	C₂²×D₈	1	1	yes	characteristic
173	C₂×D₄₇	—	4	2	no	—
174	C₂×D₄₇	—	8	1	no	—
175	C₂×D₄₇	—	8	1	no	—
176	C₂×D₄₇	—	8	2	no	—
177	C₂×D₄₇	—	8	2	no	—
178	C₂×D₄₇	—	8	2	no	—
179	C₂×D₄₇	—	16	8	no	—
180	C₄×C₄₇	—	2	1	no	—
181	C₄×C₄₇	—	2	2	no	—
182	C₄×C₄₇	—	8	1	no	—
183	C₄×C₄₇	—	8	2	no	—
184	C₄×C₄₇	C₂×D₁₆	1	2	yes	—
185	C₄×C₄₇	#546	1	1	yes	characteristic
186	C₄×C₄₇	#577	1	1	yes	characteristic
187	Dic₄₇	—	8	1	no	—
188	#3334	D₄₇	1	1	yes	characteristic, complemented
189	D₄×D₈	—	47	1	no	—
190	#2240	—	47	1	no	—
191	#2232	—	47	2	no	—
192	#2224	—	47	1	no	—
193	#2215	—	47	2	no	—
194	#2206	—	47	1	no	—
195	#2184	—	47	2	no	—
196	C₄×D₁₆	—	47	1	no	—
197	D₄×C₁₆	—	47	1	no	—
198	C₂×#357	—	47	2	no	—
199	C₂×C₄₇	—	2	4	no	—
200	C₂×C₄₇	—	16	1	no	—
201	C₂×C₄₇	#3294	1	1	yes	characteristic
202	C₂×C₄₇	C₂²×D₁₆	1	1	yes	characteristic
203	C₂×C₄₇	#3416	1	1	yes	characteristic
204	D₄₇	—	8	2	no	—
205	D₄₇	—	16	2	no	—
206	C₂²×D₈	—	47	2	no	—
207	#547	—	2	1	no	—
208	D₄²	—	94	1	no	—
209	C₂×D₁₆	—	47	1	no	—
210	C₂×D₁₆	—	47	2	no	—
211	C₂²×C₁₆	—	47	2	no	—
212	#500	C₂×D₄₇	1	1	yes	characteristic, complemented
213	#493	—	47	1	no	—
214	#480	—	2	2	no	—
215	#474	—	2	1	no	—
216	#466	—	47	2	no	—
217	#466	C₂×D₄₇	1	2	yes	complemented
218	#459	—	94	1	no	—
219	#447	—	94	2	no	—
220	C₄×D₈	—	47	1	no	—
221	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic, complemented
222	C₈×D₄	C₂×D₄₇	1	1	yes	characteristic
223	C₂×#107	C₂×D₄₇	1	2	yes	complemented
224	#366	—	47	1	no	—
225	#366	—	47	2	no	—
226	C₄⋊C₁₆	—	47	1	no	—
227	#357	—	47	1	no	—
228	#357	—	47	1	no	—
229	#357	—	47	2	no	—
230	#357	—	47	2	no	—
231	#357	—	47	2	no	—
232	#357	—	47	2	no	—
233	C₂²⋊C₁₆	—	47	2	no	—
234	C₄×C₁₆	—	47	1	no	—
235	C₄₇	#33861	1	1	yes	characteristic, complemented, Sylow
236	C₂×#41	—	4	1	no	—
237	C₂²×D₄	—	94	2	no	—
238	C₂²×D₄	—	188	1	no	—
239	C₂×D₈	—	47	1	no	—
240	C₂×D₈	—	47	2	no	—
241	C₂×D₈	—	94	4	no	—
242	C₂×D₈	—	94	1	no	—
243	C₂×D₈	—	94	2	no	—
244	C₂×D₈	—	188	2	no	—
245	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
246	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
247	C₄⋊Q₈	—	2	1	no	—
248	#127	—	94	1	no	—
249	#123	—	4	2	no	—
250	C₂²⋊Q₈	—	4	1	no	—
251	#121	—	2	2	no	—
252	#121	—	94	2	no	—
253	#121	—	188	1	no	—
254	#120	—	188	2	no	—
255	C₄×D₄	—	2	1	no	—
256	C₄×D₄	—	94	1	no	—
257	C₄×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
258	C₂×C₄⋊C₄	—	2	2	no	—
259	D₁₆	—	94	2	no	—
260	D₁₆	—	188	2	no	—
261	C₂×C₁₆	—	47	1	no	—
262	C₂×C₁₆	—	47	1	no	—
263	C₂×C₁₆	—	47	2	no	—
264	C₂×C₁₆	—	188	2	no	—
265	#107	—	2	2	no	—
266	#107	—	2	1	no	—
267	#107	—	47	1	no	—
268	#107	C₂²×D₄₇	1	1	yes	characteristic
269	#107	C₂²×D₄₇	1	2	yes	—
270	C₄⋊C₈	C₂²⋊D₄₇	1	1	yes	characteristic
271	#102	—	2	1	no	—
272	#102	—	2	2	no	—
273	#102	—	94	1	no	—
274	#102	—	94	2	no	—
275	C₂²⋊C₈	C₂²⋊D₄₇	1	2	yes	—
276	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
277	C₂⁴	—	188	2	no	—
278	#41	—	8	4	no	—
279	C₂×Q₈	—	4	1	no	—
280	C₂×D₄	—	2	1	no	—
281	C₂×D₄	—	4	2	no	—
282	C₂×D₄	—	94	1	no	—
283	C₂×D₄	—	94	2	no	—
284	C₂×D₄	—	376	2	no	—
285	C₂×D₄	—	376	4	no	—
286	C₂×D₄	—	188	4	no	—
287	C₂×D₄	—	188	2	no	—
288	C₂×D₄	—	188	2	no	—
289	C₂×D₄	—	188	1	no	—
290	C₂×D₄	—	188	1	no	—
291	C₂×D₄	#10625334	1	1	yes	characteristic
292	C₂²×C₄	—	4	2	no	—
293	C₂²×C₄	—	4	1	no	—
294	C₂²×C₄	—	188	1	no	—
295	C₂²×C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
296	D₈	—	2	1	no	—
297	D₈	—	2	1	no	—
298	D₈	—	47	2	no	—
299	D₈	—	94	2	no	—
300	D₈	—	94	1	no	—
301	D₈	—	94	2	no	—
302	D₈	—	376	1	no	—
303	D₈	—	188	4	no	—
304	C₂×C₈	—	2	2	no	—
305	C₂×C₈	—	2	2	no	—
306	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
307	C₂×C₈	C₂×C₂²⋊D₄₇	1	2	yes	—
308	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
309	C₄⋊C₄	—	2	1	no	—
310	C₄⋊C₄	—	2	2	no	—
311	C₄⋊C₄	—	4	2	no	—
312	C₄⋊C₄	—	4	1	no	—
313	C₄⋊C₄	—	94	1	no	—
314	C₄⋊C₄	#10625334	1	1	yes	characteristic
315	C₂²⋊C₄	—	4	1	no	—
316	C₂²⋊C₄	—	4	2	no	—
317	C₂²⋊C₄	—	188	1	no	—
318	C₂²⋊C₄	—	188	2	no	—
319	C₂²⋊C₄	#10625334	1	2	yes	—
320	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
321	C₁₆	—	94	1	no	—
322	C₁₆	—	94	1	no	—
323	C₁₆	—	94	2	no	—
324	C₂³	—	4	1	no	—
325	C₂³	—	376	4	no	—
326	C₂³	—	376	4	no	—
327	C₂³	—	188	2	no	—
328	C₂³	—	188	1	no	—
329	C₂³	—	752	2	no	—
330	C₂³	C₂×#10625334	1	2	yes	—
331	Q₈	—	8	2	no	—
332	D₄	—	4	1	no	—
333	D₄	—	4	1	no	—
334	D₄	—	8	4	no	—
335	D₄	—	94	2	no	—
336	D₄	—	376	4	no	—
337	D₄	—	376	4	no	—
338	D₄	—	376	2	no	—
339	D₄	—	188	2	no	—
340	D₄	—	188	2	no	—
341	D₄	—	188	1	no	—
342	D₄	—	752	1	no	—
343	D₄	#13093965	1	4	yes	complemented
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	2	2	no	—
346	C₂×C₄	—	4	1	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	8	4	no	—
349	C₂×C₄	—	8	2	no	—
350	C₂×C₄	—	376	2	no	—
351	C₂×C₄	—	188	1	no	—
352	C₂×C₄	C₂×#10625334	1	1	yes	characteristic
353	C₂×C₄	C₂×#10625334	1	2	yes	—
354	C₂×C₄	C₂×#10625334	1	1	yes	characteristic
355	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
356	C₈	—	2	2	no	—
357	C₈	—	2	1	no	—
358	C₈	#41×D₄₇	1	1	yes	characteristic
359	C₈	#13094070	1	1	yes	characteristic
360	C₂²	—	2	2	no	—
361	C₂²	—	2	2	no	—
362	C₂²	—	8	1	no	—
363	C₂²	—	8	1	no	—
364	C₂²	—	8	1	no	—
365	C₂²	—	376	1	no	—
366	C₂²	—	376	1	no	—
367	C₂²	—	376	2	no	—
368	C₂²	—	376	2	no	—
369	C₂²	—	376	2	no	—
370	C₂²	—	188	2	no	—
371	C₂²	—	752	8	no	—
372	C₂²	C₂×#13093965	1	4	yes	—
373	C₂²	C₂²×#10625334	1	1	yes	characteristic
374	C₄	—	2	1	no	—
375	C₄	—	2	2	no	—
376	C₄	—	8	1	no	—
377	C₄	—	8	2	no	—
378	C₄	—	376	1	no	—
379	C₄	C₂×#13093965	1	2	yes	—
380	C₄	#15689761	1	1	yes	characteristic
381	C₄	#15689931	1	1	yes	characteristic
382	C₂	—	2	4	no	—
383	C₂	—	16	1	no	—
384	C₂	—	376	2	no	—
385	C₂	—	752	2	no	—
386	C₂	#20255195	1	1	yes	characteristic
387	C₂	C₂²×#13093965	1	1	yes	characteristic
388	C₂	#20256532	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×#10625334
commutator, cosocle	C₂×C₈×C₄₇	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₇
Fitting	C₄₇×#3334	C₂
socle	C₂²×C₄₇	C₂²×D₈
hypercenter	#3334	D₄₇
hypocenter	C₄₇	#33861
LCS	G ▷ C₂×C₈×C₄₇ ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ C₈×D₄ ◁ #3334

Complements

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

N	H ≅ G/N	type
1. D₄×D₃₇₆	C₂	semidirect
2. #20245613	C₂	semidirect
3. #20245568	C₂	semidirect
4. #20245522	C₂	semidirect
5. #20245472	C₂	semidirect
6. #20245423	C₂	semidirect
7. #20245299	C₂	semidirect
8. C₄×#13093965	C₂	semidirect
9. D₄×C₄₇⋊C₁₆	C₂	semidirect
10. C₂×#15688923	C₂	semidirect
11. C₄₇×#3334	C₂	semidirect
15. C₂×#13093965	C₂²	semidirect
16. C₂²×C₄₇⋊C₁₆	C₂²	semidirect
22. #15688948	C₂²	semidirect
23. #15688948	C₂²	semidirect
24. C₄⋊(C₄₇⋊C₁₆)	C₂²	semidirect
25. #15688924	C₂²	semidirect
28. #15688923	C₂²	semidirect
29. #15688923	C₂²	semidirect
30. #15688923	C₂²	semidirect
31. C₂²⋊(C₄₇⋊C₁₆)	C₂²	semidirect
32. C₄×C₄₇⋊C₁₆	C₂²	semidirect
34. C₄₇×#500	C₂²	semidirect
37. C₄₇×#466	C₂²	semidirect
38. C₄×D₈×C₄₇	C₂²	semidirect
40. C₂×#107×C₄₇	C₂²	semidirect
125. D₃₇₆	#41	semidirect
140. D₄×C₄₇	D₁₆	semidirect
188. #3334	D₄₇	semidirect
212. #500	C₂×D₄₇	semidirect
217. #466	C₂×D₄₇	semidirect
221. C₄×D₈	C₂×D₄₇	semidirect
223. C₂×#107	C₂×D₄₇	semidirect
235. C₄₇	#33861	semidirect
343. D₄	#13093965	semidirect

Maximal subgroups

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

subgroup	index
D₄×D₃₇₆	2
#20245613	2
#20245568	2
#20245522	2
#20245472	2
#20245423	2
#20245299	2
C₄×#13093965	2
D₄×C₄₇⋊C₁₆	2
C₂×#15688923	2
C₄₇×#3334	2
#33861	47