Subgroups — #20252850

Order 6016.

548 conjugacy classes of subgroups.

The subgroup lattice has 416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#13094051	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#13094048	C₂	1	1	yes	maximal, characteristic, complemented
3	#15689672	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄×D₄×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
5	#15689339	C₂	1	1	yes	maximal, characteristic, complemented
6	#15689338	C₂	1	1	yes	maximal, characteristic, complemented
7	#15689335	C₂	1	1	yes	maximal, characteristic, complemented
8	#15689327	C₂	1	1	yes	maximal, characteristic, complemented
9	#15689326	C₂	1	1	yes	maximal, characteristic, complemented
10	#15689317	C₂	1	1	yes	maximal, characteristic, complemented
11	#15689316	C₂	1	1	yes	maximal, characteristic, complemented
12	#15689145	C₂	1	1	yes	maximal, characteristic, complemented
13	#15689123	C₂	1	1	yes	maximal, characteristic, complemented
14	#15689121	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₇×#463	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#10625354	C₂²	1	1	yes	characteristic
17	C₂×#10625352	C₂²	1	1	yes	characteristic
18	C₂×D₄×D₄₇	C₂²	1	1	yes	characteristic
19	C₂²×C₄×D₄₇	—	2	1	no	—
20	#13094051	—	2	4	no	—
21	#13094048	—	2	4	no	—
22	C₂×#10625325	C₂²	1	1	yes	characteristic
23	C₂×#10625335	C₂²	1	1	yes	characteristic
24	C₂×#10625336	C₂²	1	1	yes	characteristic
25	C₂×D₃₇₆	C₂²	1	1	yes	characteristic
26	C₂×#10625334	C₂²	1	1	yes	characteristic
27	C₂×#10625334	C₂²	1	1	yes	characteristic
28	C₂×#10625324	C₂²	1	1	yes	characteristic
29	C₂×#10625324	C₂²	1	1	yes	characteristic
30	#13094022	C₂²	1	1	yes	characteristic, complemented
31	#13094020	C₂²	1	1	yes	characteristic, complemented
32	#13094012	C₂²	1	1	yes	characteristic, complemented
33	#13093997	—	2	1	no	—
34	#13093997	—	2	1	no	—
35	C₄×D₁₈₈	C₂²	1	1	yes	characteristic
36	D₄×Dic₄₇	C₂²	1	1	yes	characteristic
37	#13093986	C₂²	1	1	yes	characteristic
38	C₄×C₂²⋊D₄₇	—	2	1	no	—
39	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
40	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
41	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
42	C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
43	C₂²⋊C₄×D₄₇	—	2	1	no	—
44	C₄²×D₄₇	C₂²	1	1	yes	characteristic
45	C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
46	Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
47	Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
48	#13093949	C₂²	1	1	yes	characteristic, complemented
49	#13093948	C₂²	1	1	yes	characteristic, complemented
50	#13093947	C₂²	1	1	yes	characteristic, complemented
51	#13093946	C₂²	1	1	yes	characteristic, complemented
52	#13093945	C₂²	1	1	yes	characteristic, complemented
53	#13093944	C₂²	1	1	yes	characteristic, complemented
54	C₂×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic
55	C₂×D₈×C₄₇	C₂²	1	1	yes	characteristic
56	#124×C₄₇	C₂²	1	1	yes	characteristic, complemented
57	C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
58	C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
59	#103×C₄₇	C₂²	1	1	yes	characteristic, complemented
60	#102×C₄₇	C₂²	1	1	yes	characteristic, complemented
61	C₂³×D₄₇	—	2	1	no	—
62	C₂×Q₈×C₄₇	C₂³	1	1	yes	characteristic
63	C₂×D₄×C₄₇	C₂³	1	1	yes	characteristic
64	C₂×D₄×C₄₇	C₂³	1	1	yes	characteristic
65	C₂²×C₄×C₄₇	—	2	1	no	—
66	C₂×C₂²⋊D₄₇	—	2	1	no	—
67	C₂×C₂²⋊D₄₇	—	2	1	no	—
68	C₂×C₂²⋊D₄₇	—	2	1	no	—
69	C₂×C₂²⋊D₄₇	—	2	1	no	—
70	C₂²×Dic₄₇	—	2	1	no	—
71	C₂²×Dic₄₇	—	2	1	no	—
72	#10625354	—	2	2	no	—
73	#10625354	—	2	2	no	—
74	#10625352	—	2	2	no	—
75	#10625352	—	2	2	no	—
76	D₄×D₄₇	—	2	2	no	—
77	D₄×D₄₇	D₄	1	4	yes	complemented
78	C₂×D₁₈₈	—	2	1	no	—
79	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
80	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
81	C₂×C₄×D₄₇	—	2	1	no	—
82	C₂×C₄×D₄₇	—	2	1	no	—
83	C₂×C₄×D₄₇	—	2	1	no	—
84	C₂×C₄×D₄₇	—	2	1	no	—
85	C₂×C₄×D₄₇	—	4	4	no	—
86	C₂×C₄×D₄₇	D₄	1	1	yes	characteristic
87	C₂×C₄×D₄₇	D₄	1	1	yes	characteristic
88	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
89	C₂×Dic₉₄	C₂³	1	1	yes	characteristic
90	SD₁₆×C₄₇	—	2	2	no	—
91	D₈×C₄₇	—	2	2	no	—
92	C₂×C₈×C₄₇	C₂³	1	1	yes	characteristic
93	C₂×C₈×C₄₇	C₂³	1	1	yes	characteristic
94	C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
95	C₂²⋊C₄×C₄₇	—	2	1	no	—
96	C₂²⋊C₄×C₄₇	—	2	1	no	—
97	C₂²⋊C₄×C₄₇	—	2	1	no	—
98	C₄²×C₄₇	C₂³	1	1	yes	characteristic
99	C₂²⋊Dic₄₇	—	2	1	no	—
100	#10625336	—	2	2	no	—
101	#10625335	—	2	2	no	—
102	#10625334	—	2	2	no	—
103	#10625334	—	2	2	no	—
104	(C₂×D₄₇)⋊C₄	—	2	1	no	—
105	(C₂×D₄₇)⋊C₄	—	2	1	no	—
106	(C₂×D₄₇)⋊C₄	—	2	1	no	—
107	(C₂×D₄₇)⋊C₄	—	2	1	no	—
108	C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
109	Dic₄₇⋊C₄	—	2	1	no	—
110	Dic₄₇⋊C₄	—	2	1	no	—
111	Dic₄₇⋊C₄	—	2	1	no	—
112	C₄×Dic₄₇	D₄	1	1	yes	characteristic
113	C₄×Dic₄₇	D₄	1	1	yes	characteristic
114	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
115	C₂×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
116	C₂×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
117	D₃₇₆	—	2	2	no	—
118	#10625325	—	2	2	no	—
119	#10625324	—	2	2	no	—
120	#10625324	—	2	2	no	—
121	C₂³×C₄₇	—	2	1	no	—
122	C₂³×C₄₇	—	2	1	no	—
123	C₂²×D₄₇	—	2	1	no	—
124	C₂²×D₄₇	—	2	4	no	—
125	C₂²×D₄₇	—	2	1	no	—
126	C₂²×D₄₇	—	4	2	no	—
127	C₂²×D₄₇	—	4	2	no	—
128	C₂²×D₄₇	C₂×D₄	1	1	yes	characteristic
129	Q₈×C₄₇	—	2	1	no	—
130	Q₈×C₄₇	—	2	1	no	—
131	D₄×C₄₇	—	2	1	no	—
132	D₄×C₄₇	—	2	1	no	—
133	D₄×C₄₇	—	2	1	no	—
134	D₄×C₄₇	C₂×D₄	1	2	yes	—
135	C₂×C₄×C₄₇	—	2	1	no	—
136	C₂×C₄×C₄₇	—	2	1	no	—
137	C₂×C₄×C₄₇	—	4	2	no	—
138	C₂×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
139	C₂×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
140	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
141	C₂²⋊D₄₇	—	2	4	no	—
142	C₂²⋊D₄₇	—	4	2	no	—
143	C₂²⋊D₄₇	—	4	2	no	—
144	C₂²⋊D₄₇	—	4	2	no	—
145	C₂×Dic₄₇	—	2	1	no	—
146	C₂×Dic₄₇	—	2	1	no	—
147	C₂×Dic₄₇	—	4	2	no	—
148	C₂×Dic₄₇	—	4	2	no	—
149	C₂×Dic₄₇	C₂×D₄	1	1	yes	characteristic
150	C₂×Dic₄₇	C₂×D₄	1	1	yes	characteristic
151	C₂×Dic₄₇	C₂×D₄	1	1	yes	characteristic
152	D₁₈₈	—	2	1	no	—
153	D₁₈₈	—	2	1	no	—
154	D₁₈₈	—	2	1	no	—
155	D₁₈₈	—	4	2	no	—
156	D₁₈₈	C₂×D₄	1	2	yes	—
157	C₄×D₄₇	—	2	2	no	—
158	C₄×D₄₇	—	4	1	no	—
159	C₄×D₄₇	—	4	2	no	—
160	C₄×D₄₇	—	4	2	no	—
161	C₄×D₄₇	—	4	2	no	—
162	C₄×D₄₇	—	4	2	no	—
163	C₄×D₄₇	C₂×D₄	1	2	yes	—
164	C₄×D₄₇	#41	1	2	yes	—
165	Dic₉₄	—	2	1	no	—
166	Dic₉₄	—	2	1	no	—
167	C₈×C₄₇	—	2	1	no	—
168	C₈×C₄₇	—	2	1	no	—
169	C₄₇⋊C₈	—	2	1	no	—
170	C₄₇⋊C₈	—	2	1	no	—
171	C₂²×C₄₇	—	2	2	no	—
172	C₂²×C₄₇	—	4	1	no	—
173	C₂²×C₄₇	—	4	1	no	—
174	C₂²×C₄₇	—	4	1	no	—
175	C₂²×C₄₇	—	4	1	no	—
176	C₂²×C₄₇	—	4	1	no	—
177	C₂²×C₄₇	C₂²×D₄	1	1	yes	characteristic
178	C₂×D₄₇	—	2	1	no	—
179	C₂×D₄₇	—	2	1	no	—
180	C₂×D₄₇	—	2	2	no	—
181	C₂×D₄₇	—	4	8	no	—
182	C₂×D₄₇	—	4	1	no	—
183	C₂×D₄₇	—	4	1	no	—
184	C₂×D₄₇	—	4	1	no	—
185	C₂×D₄₇	—	4	1	no	—
186	C₂×D₄₇	—	4	1	no	—
187	C₂×D₄₇	#121	1	2	yes	—
188	C₄×C₄₇	—	2	1	no	—
189	C₄×C₄₇	—	2	1	no	—
190	C₄×C₄₇	—	4	1	no	—
191	C₄×C₄₇	—	4	1	no	—
192	C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
193	C₄×C₄₇	C₂×#41	1	1	yes	characteristic
194	Dic₄₇	—	2	1	no	—
195	Dic₄₇	—	4	1	no	—
196	Dic₄₇	—	4	1	no	—
197	Dic₄₇	#121	1	2	yes	—
198	Dic₄₇	AGL(1,ℤ/8)	1	2	yes	complemented
199	#3036	—	47	1	no	maximal, Sylow
200	C₂×C₄₇	—	4	2	no	—
201	C₂×C₄₇	—	8	1	no	—
202	C₂×C₄₇	C₂×#121	1	1	yes	characteristic
203	C₂×C₄₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
204	C₂×C₄₇	#575	1	1	yes	characteristic
205	D₄₇	—	2	2	no	—
206	D₄₇	—	4	2	no	—
207	D₄₇	—	8	1	no	—
208	C₂×AGL(1,ℤ/8)	—	47	1	no	—
209	C₂×AGL(1,ℤ/8)	—	47	1	no	—
210	#532	—	47	1	no	—
211	C₂×C₄×D₄	—	47	1	no	—
212	#463	—	47	1	no	—
213	#463	—	47	1	no	—
214	#463	—	47	1	no	—
215	#463	D₄₇	1	1	yes	characteristic, complemented
216	#461	—	47	1	no	—
217	#461	—	47	1	no	—
218	#459	—	47	1	no	—
219	#459	—	47	1	no	—
220	#423	—	47	1	no	—
221	#417	—	47	1	no	—
222	#417	—	47	1	no	—
223	C₄₇	#3036	1	1	yes	characteristic, complemented, Sylow
224	C₂×#41	—	47	1	no	—
225	C₂×#41	—	47	1	no	—
226	C₂²×D₄	—	47	1	no	—
227	C₂³×C₄	—	94	1	no	—
228	AGL(1,ℤ/8)	—	94	4	no	—
229	AGL(1,ℤ/8)	—	94	4	no	—
230	C₂×SD₁₆	—	47	1	no	—
231	C₂×SD₁₆	—	47	1	no	—
232	C₂×SD₁₆	—	47	1	no	—
233	C₂×SD₁₆	C₂×D₄₇	1	1	yes	characteristic
234	C₂×D₈	—	47	1	no	—
235	C₂×D₈	—	47	1	no	—
236	C₂×D₈	—	47	1	no	—
237	C₂×D₈	C₂×D₄₇	1	1	yes	characteristic
238	C₂×M₁₆	—	47	1	no	—
239	C₂×M₁₆	—	47	1	no	—
240	C₄⋊Q₈	—	47	1	no	—
241	#127	—	47	1	no	—
242	#124	—	47	1	no	—
243	#124	C₂×D₄₇	1	1	yes	characteristic, complemented
244	#121	—	94	1	no	—
245	#121	—	94	1	no	—
246	C₄×D₄	—	47	1	no	—
247	C₄×D₄	—	47	1	no	—
248	C₄×D₄	—	47	1	no	—
249	C₄×D₄	—	94	1	no	—
250	C₄×D₄	—	94	1	no	—
251	C₄×D₄	—	94	1	no	—
252	C₄×D₄	—	94	1	no	—
253	C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
254	C₂×C₄⋊C₄	—	47	1	no	—
255	C₂×C₂²⋊C₄	—	94	1	no	—
256	C₂×C₄²	—	47	1	no	—
257	C₄⋊C₈	—	47	1	no	—
258	C₄⋊C₈	—	47	1	no	—
259	C₄⋊C₈	—	47	1	no	—
260	C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
261	#103	—	47	1	no	—
262	#103	—	47	1	no	—
263	#103	—	47	1	no	—
264	#103	C₂×D₄₇	1	1	yes	characteristic, complemented
265	#102	—	47	1	no	—
266	#102	—	47	1	no	—
267	#102	—	47	1	no	—
268	#102	C₂×D₄₇	1	1	yes	characteristic, complemented
269	C₂⁴	—	94	1	no	—
270	#41	—	94	2	no	—
271	#41	—	94	2	no	—
272	#41	—	94	2	no	—
273	#41	—	94	2	no	—
274	C₂×Q₈	—	47	1	no	—
275	C₂×Q₈	C₂²×D₄₇	1	1	yes	characteristic
276	C₂×D₄	—	47	4	no	—
277	C₂×D₄	—	47	1	no	—
278	C₂×D₄	—	47	1	no	—
279	C₂×D₄	—	94	1	no	—
280	C₂×D₄	—	94	2	no	—
281	C₂×D₄	—	94	1	no	—
282	C₂×D₄	—	94	1	no	—
283	C₂×D₄	—	94	1	no	—
284	C₂×D₄	—	94	1	no	—
285	C₂×D₄	C₂²×D₄₇	1	1	yes	characteristic
286	C₂×D₄	C₂²×D₄₇	1	1	yes	characteristic
287	C₂²×C₄	—	2	1	no	—
288	C₂²×C₄	—	47	1	no	—
289	C₂²×C₄	—	47	1	no	—
290	C₂²×C₄	—	47	1	no	—
291	C₂²×C₄	—	94	1	no	—
292	C₂²×C₄	—	94	1	no	—
293	C₂²×C₄	—	94	1	no	—
294	C₂²×C₄	—	94	1	no	—
295	C₂²×C₄	—	94	1	no	—
296	C₂²×C₄	—	94	1	no	—
297	C₂²×C₄	—	188	4	no	—
298	SD₁₆	—	2	2	no	—
299	SD₁₆	—	94	2	no	—
300	SD₁₆	—	94	2	no	—
301	SD₁₆	—	94	2	no	—
302	D₈	—	2	2	no	—
303	D₈	—	94	2	no	—
304	D₈	—	94	2	no	—
305	D₈	—	94	2	no	—
306	M₁₆	—	94	2	no	—
307	M₁₆	—	94	2	no	—
308	C₂×C₈	—	47	1	no	—
309	C₂×C₈	—	47	1	no	—
310	C₂×C₈	C₂²×D₄₇	1	1	yes	characteristic
311	C₂×C₈	C₂²×D₄₇	1	1	yes	characteristic
312	C₄⋊C₄	—	47	1	no	—
313	C₄⋊C₄	—	94	1	no	—
314	C₄⋊C₄	—	94	1	no	—
315	C₄⋊C₄	—	94	1	no	—
316	C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
317	C₂²⋊C₄	—	2	1	no	—
318	C₂²⋊C₄	—	2	1	no	—
319	C₂²⋊C₄	—	2	1	no	—
320	C₂²⋊C₄	—	94	1	no	—
321	C₂²⋊C₄	—	94	1	no	—
322	C₂²⋊C₄	—	94	1	no	—
323	C₂²⋊C₄	—	94	1	no	—
324	C₂²⋊C₄	—	94	1	no	—
325	C₄²	—	47	1	no	—
326	C₄²	—	47	1	no	—
327	C₄²	—	47	1	no	—
328	C₄²	C₂²×D₄₇	1	1	yes	characteristic
329	C₂³	—	2	1	no	—
330	C₂³	—	2	1	no	—
331	C₂³	—	47	1	no	—
332	C₂³	—	94	4	no	—
333	C₂³	—	94	1	no	—
334	C₂³	—	94	1	no	—
335	C₂³	—	188	2	no	—
336	C₂³	—	188	2	no	—
337	Q₈	—	2	1	no	—
338	Q₈	—	2	1	no	—
339	Q₈	—	94	1	no	—
340	Q₈	—	94	1	no	—
341	D₄	—	2	1	no	—
342	D₄	—	2	1	no	—
343	D₄	—	2	1	no	—
344	D₄	—	47	2	no	—
345	D₄	—	94	4	no	—
346	D₄	—	94	1	no	—
347	D₄	—	94	1	no	—
348	D₄	—	94	1	no	—
349	D₄	—	188	2	no	—
350	D₄	—	188	2	no	—
351	D₄	—	188	2	no	—
352	D₄	—	188	2	no	—
353	D₄	D₄×D₄₇	1	2	yes	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	2	1	no	—
356	C₂×C₄	—	4	2	no	—
357	C₂×C₄	—	47	1	no	—
358	C₂×C₄	—	47	1	no	—
359	C₂×C₄	—	47	2	no	—
360	C₂×C₄	—	47	2	no	—
361	C₂×C₄	—	47	1	no	—
362	C₂×C₄	—	94	2	no	—
363	C₂×C₄	—	94	1	no	—
364	C₂×C₄	—	94	1	no	—
365	C₂×C₄	—	188	1	no	—
366	C₂×C₄	—	188	2	no	—
367	C₂×C₄	—	188	2	no	—
368	C₂×C₄	—	188	2	no	—
369	C₂×C₄	—	188	2	no	—
370	C₂×C₄	—	188	2	no	—
371	C₂×C₄	—	188	2	no	—
372	C₂×C₄	D₄×D₄₇	1	1	yes	characteristic
373	C₂×C₄	D₄×D₄₇	1	1	yes	characteristic
374	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
375	C₈	—	2	1	no	—
376	C₈	—	2	1	no	—
377	C₈	—	94	1	no	—
378	C₈	—	94	1	no	—
379	C₂²	—	2	2	no	—
380	C₂²	—	4	1	no	—
381	C₂²	—	4	1	no	—
382	C₂²	—	4	1	no	—
383	C₂²	—	4	1	no	—
384	C₂²	—	4	1	no	—
385	C₂²	—	47	2	no	—
386	C₂²	—	94	1	no	—
387	C₂²	—	94	1	no	—
388	C₂²	—	94	2	no	—
389	C₂²	—	188	8	no	—
390	C₂²	—	188	1	no	—
391	C₂²	—	188	1	no	—
392	C₂²	—	188	1	no	—
393	C₂²	—	188	1	no	—
394	C₂²	—	188	1	no	—
395	C₂²	C₂×D₄×D₄₇	1	1	yes	characteristic
396	C₄	—	2	1	no	—
397	C₄	—	2	1	no	—
398	C₄	—	4	1	no	—
399	C₄	—	4	1	no	—
400	C₄	—	47	2	no	—
401	C₄	—	47	2	no	—
402	C₄	—	94	1	no	—
403	C₄	—	188	1	no	—
404	C₄	—	188	1	no	—
405	C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
406	C₄	#41×D₄₇	1	1	yes	characteristic
407	C₂	—	4	2	no	—
408	C₂	—	8	1	no	—
409	C₂	—	94	2	no	—
410	C₂	—	376	1	no	—
411	C₂	—	188	2	no	—
412	C₂	#121×D₄₇	1	1	yes	characteristic
413	C₂	AGL(1,ℤ/8)×D₄₇	1	1	yes	characteristic
414	C₂	#15689920	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₄₇
commutator	C₂×C₄×C₄₇	C₂⁴
Frattini	C₂×C₄	C₂³×D₄₇
Fitting	C₄₇×#463	C₂
socle	C₂²×C₄₇	C₂²×D₄
hypercenter	#463	D₄₇
hypocenter	C₄₇	#3036
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #463

Complements

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

N	H ≅ G/N	type
1. C₂×#13094051	C₂	semidirect
2. C₂×#13094048	C₂	semidirect
3. #15689672	C₂	semidirect
4. C₄×D₄×D₄₇	C₂	semidirect
5. #15689339	C₂	semidirect
6. #15689338	C₂	semidirect
7. #15689335	C₂	semidirect
8. #15689327	C₂	semidirect
9. #15689326	C₂	semidirect
10. #15689317	C₂	semidirect
11. #15689316	C₂	semidirect
12. #15689145	C₂	semidirect
13. #15689123	C₂	semidirect
14. #15689121	C₂	semidirect
15. C₄₇×#463	C₂	semidirect
30. #13094022	C₂²	semidirect
31. #13094020	C₂²	semidirect
32. #13094012	C₂²	semidirect
45. C₄⋊(C₄₇⋊C₈)	C₂²	semidirect
46. Dic₄₇⋊C₈	C₂²	semidirect
47. Dic₄₇⋊C₈	C₂²	semidirect
48. #13093949	C₂²	semidirect
49. #13093948	C₂²	semidirect
50. #13093947	C₂²	semidirect
51. #13093946	C₂²	semidirect
52. #13093945	C₂²	semidirect
53. #13093944	C₂²	semidirect
56. #124×C₄₇	C₂²	semidirect
58. C₄⋊C₈×C₄₇	C₂²	semidirect
59. #103×C₄₇	C₂²	semidirect
60. #102×C₄₇	C₂²	semidirect
77. D₄×D₄₇	D₄	semidirect
198. Dic₄₇	AGL(1,ℤ/8)	semidirect
215. #463	D₄₇	semidirect
223. C₄₇	#3036	semidirect
243. #124	C₂×D₄₇	semidirect
260. C₄⋊C₈	C₂×D₄₇	semidirect
264. #103	C₂×D₄₇	semidirect
268. #102	C₂×D₄₇	semidirect