Subgroups — #20257175

Order 6016.

1540 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#13094071	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#13094070	C₂	1	1	yes	maximal, characteristic, complemented
3	#15689782	C₂	1	4	yes	maximal, complemented
4	#15689769	C₂	1	4	yes	maximal, complemented
5	#15689762	C₂	1	8	yes	maximal, complemented
6	#15689698	C₂	1	2	yes	maximal, complemented
7	#15689694	C₂	1	1	yes	maximal, characteristic, complemented
8	#15689687	C₂	1	1	yes	maximal, characteristic, complemented
9	#15689686	C₂	1	2	yes	maximal, complemented
10	#15689672	C₂	1	2	yes	maximal, complemented
11	C₂×#13094012	C₂	1	1	yes	maximal, characteristic, complemented
12	#124×D₄₇	C₂	1	2	yes	maximal, complemented
13	C₄×#10625350	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₇×#532	C₂	1	1	yes	maximal, characteristic, complemented
15	#13094071	—	2	8	no	—
16	#13094070	—	2	8	no	—
17	C₂×#10625354	C₂²	1	2	yes	—
18	C₂×#10625350	C₂²	1	2	yes	—
19	C₂×#10625350	C₂²	1	1	yes	characteristic
20	C₂×#10625350	C₂²	1	2	yes	complemented
21	C₂×#10625352	C₂²	1	4	yes	complemented
22	C₂×#10625352	C₂²	1	2	yes	complemented
23	C₂²×Dic₉₄	C₂²	1	2	yes	complemented
24	C₂²×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
25	C₂×Q₈×D₄₇	C₂²	1	2	yes	complemented
26	C₂²×D₁₈₈	C₂²	1	2	yes	—
27	C₂²×D₁₈₈	C₂²	1	1	yes	characteristic
28	C₂×D₄×D₄₇	C₂²	1	4	yes	—
29	C₂×D₄×D₄₇	C₂²	1	2	yes	—
30	#13094022	C₂²	1	2	yes	complemented
31	#13094020	C₂²	1	2	yes	complemented
32	#13094013	C₂²	1	2	yes	complemented
33	#13094012	C₂²	1	4	yes	complemented
34	#13094012	C₂²	1	2	yes	complemented
35	#13094012	C₂²	1	2	yes	complemented
36	#13094011	C₂²	1	2	yes	complemented
37	#13094010	C₂²	1	8	yes	complemented
38	#13094009	C₂²	1	8	yes	complemented
39	#13094005	C₂²	1	4	yes	complemented
40	#13094003	C₂²	1	4	yes	complemented
41	#13094002	C₂²	1	8	yes	complemented
42	#13093998	C₂²	1	4	yes	complemented
43	#13093997	C₂²	1	8	yes	complemented
44	#13093996	C₂²	1	8	yes	complemented
45	#13093992	C₂²	1	4	yes	complemented
46	#13093992	C₂²	1	8	yes	complemented
47	C₄×Dic₉₄	C₂²	1	2	yes	complemented
48	C₄×D₁₈₈	C₂²	1	2	yes	complemented
49	C₄×C₂²⋊D₄₇	C₂²	1	4	yes	complemented
50	(C₂²⋊D₄₇)⋊C₄	C₂²	1	8	yes	complemented
51	#13093983	C₂²	1	1	yes	characteristic, complemented
52	#13093981	C₂²	1	2	yes	complemented
53	C₂×(C₂×D₄₇)⋊C₄	C₂²	1	4	yes	complemented
54	C₂²⋊C₄×D₄₇	C₂²	1	8	yes	complemented
55	C₄²×D₄₇	C₂²	1	2	yes	complemented
56	C₂×#41×C₄₇	C₂²	1	1	yes	characteristic
57	C₂×#41×C₄₇	C₂²	1	1	yes	characteristic, complemented
58	C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
59	#127×C₄₇	C₂²	1	1	yes	characteristic, complemented
60	#124×C₄₇	C₂²	1	1	yes	characteristic, complemented
61	#124×C₄₇	C₂²	1	1	yes	characteristic, complemented
62	#121×C₄₇	C₂²	1	4	yes	complemented
63	C₄×D₄×C₄₇	C₂²	1	4	yes	complemented
64	C₂×C₄²×C₄₇	C₂²	1	1	yes	characteristic, complemented
65	C₂³×D₄₇	C₂³	1	4	yes	—
66	C₂³×D₄₇	C₂³	1	2	yes	—
67	#41×C₄₇	—	2	4	no	—
68	#41×C₄₇	—	2	4	no	—
69	C₂×Q₈×C₄₇	C₂³	1	1	yes	characteristic
70	C₂×Q₈×C₄₇	C₂³	1	1	yes	characteristic
71	C₂×D₄×C₄₇	C₂³	1	2	yes	—
72	C₂×D₄×C₄₇	C₂³	1	2	yes	—
73	C₂×D₄×C₄₇	C₂³	1	1	yes	characteristic
74	C₂×D₄×C₄₇	C₂³	1	1	yes	characteristic
75	C₂×D₄×C₄₇	C₂³	1	4	yes	—
76	C₂²×C₄×C₄₇	C₂³	1	2	yes	—
77	C₂²×C₄×C₄₇	C₂³	1	2	yes	—
78	C₂²×C₄×C₄₇	C₂³	1	2	yes	—
79	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
80	C₂×C₂²⋊D₄₇	C₂³	1	4	yes	—
81	C₂×C₂²⋊D₄₇	C₂³	1	4	yes	—
82	C₂×C₂²⋊D₄₇	C₂³	1	8	yes	—
83	C₂×C₂²⋊D₄₇	C₂³	1	2	yes	—
84	C₂²×Dic₄₇	C₂³	1	2	yes	—
85	C₂²×Dic₄₇	C₂³	1	4	yes	—
86	#10625354	—	2	8	no	—
87	Q₈×D₄₇	—	2	8	no	—
88	#10625352	—	2	16	no	—
89	#10625352	—	2	8	no	—
90	D₄×D₄₇	—	2	16	no	—
91	D₄×D₄₇	—	2	8	no	—
92	#10625350	—	2	8	no	—
93	#10625350	—	2	8	no	—
94	#10625350	D₄	1	8	yes	complemented
95	C₂×D₁₈₈	—	2	4	no	—
96	C₂×D₁₈₈	—	2	8	no	—
97	C₂×D₁₈₈	C₂³	1	4	yes	—
98	C₂×D₁₈₈	C₂³	1	2	yes	—
99	C₂×D₁₈₈	C₂³	1	2	yes	—
100	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
101	C₂×C₄×D₄₇	C₂³	1	4	yes	—
102	C₂×C₄×D₄₇	C₂³	1	4	yes	—
103	C₂×C₄×D₄₇	C₂³	1	4	yes	—
104	C₂×C₄×D₄₇	C₂³	1	2	yes	—
105	C₂×Dic₉₄	—	2	4	no	—
106	C₂×Dic₉₄	—	2	8	no	—
107	C₂×Dic₉₄	C₂³	1	4	yes	—
108	C₂×Dic₉₄	C₂³	1	2	yes	—
109	C₂×Dic₉₄	C₂³	1	2	yes	—
110	C₂×Dic₉₄	C₂³	1	1	yes	characteristic
111	C₄⋊C₄×C₄₇	C₂³	1	4	yes	—
112	C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
113	C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
114	C₄²×C₄₇	C₂³	1	2	yes	—
115	C₄²×C₄₇	C₂³	1	1	yes	characteristic
116	C₄²×C₄₇	C₂³	1	1	yes	characteristic
117	C₂²⋊Dic₄₇	C₂³	1	8	yes	—
118	C₂²⋊Dic₄₇	C₂³	1	2	yes	—
119	(C₂×D₄₇)⋊C₄	C₂³	1	8	yes	—
120	(C₂×D₄₇)⋊C₄	C₂³	1	8	yes	—
121	(C₂×D₄₇)⋊C₄	C₂³	1	8	yes	—
122	(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
123	C₄⋊Dic₄₇	C₂³	1	2	yes	—
124	Dic₄₇⋊C₄	C₂³	1	4	yes	—
125	Dic₄₇⋊C₄	C₂³	1	8	yes	—
126	C₄×Dic₄₇	C₂³	1	2	yes	—
127	C₄×Dic₄₇	C₂³	1	4	yes	—
128	C₂³×C₄₇	C₂⁴	1	2	yes	—
129	C₂³×C₄₇	C₂⁴	1	2	yes	—
130	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
131	C₂²×D₄₇	—	2	4	no	—
132	C₂²×D₄₇	—	2	8	no	—
133	C₂²×D₄₇	—	4	8	no	—
134	C₂²×D₄₇	—	4	4	no	—
135	C₂²×D₄₇	C₂⁴	1	4	yes	—
136	C₂²×D₄₇	C₂⁴	1	2	yes	—
137	Q₈×C₄₇	—	2	2	no	—
138	Q₈×C₄₇	—	2	2	no	—
139	D₄×C₄₇	—	2	4	no	—
140	D₄×C₄₇	—	2	4	no	—
141	D₄×C₄₇	—	2	2	no	—
142	D₄×C₄₇	—	2	2	no	—
143	D₄×C₄₇	—	4	4	no	—
144	C₂×C₄×C₄₇	—	2	4	no	—
145	C₂×C₄×C₄₇	—	2	4	no	—
146	C₂×C₄×C₄₇	—	4	2	no	—
147	C₂×C₄×C₄₇	C₂×D₄	1	4	yes	—
148	C₂×C₄×C₄₇	C₂⁴	1	2	yes	—
149	C₂×C₄×C₄₇	C₂⁴	1	2	yes	—
150	C₂×C₄×C₄₇	C₂⁴	1	2	yes	—
151	C₂×C₄×C₄₇	C₂⁴	1	2	yes	—
152	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
153	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
154	C₂²⋊D₄₇	—	2	8	no	—
155	C₂²⋊D₄₇	—	2	8	no	—
156	C₂²⋊D₄₇	—	4	8	no	—
157	C₂²⋊D₄₇	C₂×D₄	1	8	yes	—
158	C₂×Dic₄₇	—	2	4	no	—
159	C₂×Dic₄₇	—	2	8	no	—
160	C₂×Dic₄₇	C₂⁴	1	4	yes	—
161	C₂×Dic₄₇	C₂⁴	1	4	yes	—
162	C₂×Dic₄₇	C₂⁴	1	2	yes	—
163	D₁₈₈	—	2	8	no	—
164	D₁₈₈	—	2	4	no	—
165	D₁₈₈	—	2	4	no	—
166	D₁₈₈	C₂×D₄	1	4	yes	—
167	C₄×D₄₇	—	2	8	no	—
168	C₄×D₄₇	—	2	8	no	—
169	C₄×D₄₇	—	4	4	no	—
170	C₄×D₄₇	C₂×D₄	1	8	yes	—
171	Dic₉₄	—	2	4	no	—
172	Dic₉₄	—	2	4	no	—
173	Dic₉₄	—	2	8	no	—
174	Dic₉₄	C₂×D₄	1	4	yes	—
175	C₂²×C₄₇	—	2	2	no	—
176	C₂²×C₄₇	—	2	2	no	—
177	C₂²×C₄₇	—	2	2	no	—
178	C₂²×C₄₇	—	2	4	no	—
179	C₂²×C₄₇	—	2	4	no	—
180	C₂²×C₄₇	C₂²×D₄	1	2	yes	—
181	C₂²×C₄₇	C₂⁵	1	1	yes	characteristic
182	C₂×D₄₇	—	2	4	no	—
183	C₂×D₄₇	—	2	4	no	—
184	C₂×D₄₇	—	2	8	no	—
185	C₂×D₄₇	—	8	8	no	—
186	C₂×D₄₇	—	8	4	no	—
187	C₂×D₄₇	C₂²×D₄	1	4	yes	—
188	C₄×C₄₇	—	2	2	no	—
189	C₄×C₄₇	—	2	2	no	—
190	C₄×C₄₇	—	2	2	no	—
191	C₄×C₄₇	—	2	2	no	—
192	C₄×C₄₇	C₂²×D₄	1	2	yes	—
193	C₄×C₄₇	C₂²×D₄	1	2	yes	—
194	Dic₄₇	—	2	4	no	—
195	Dic₄₇	—	2	4	no	—
196	Dic₄₇	C₂²×D₄	1	4	yes	—
197	#3500	—	47	1	no	maximal, Sylow
198	C₂×C₄₇	—	2	2	no	—
199	C₂×C₄₇	—	4	2	no	—
200	C₂×C₄₇	—	4	2	no	—
201	C₂×C₄₇	C₂³×D₄	1	1	yes	characteristic
202	C₂×C₄₇	#585	1	2	yes	—
203	D₄₇	—	2	4	no	—
204	D₄₇	—	4	4	no	—
205	C₂×2₋¹⁺⁴	—	47	1	no	—
206	C₂×H(5,𝔽₂)	—	47	1	no	—
207	#548	—	47	4	no	—
208	#546	—	47	8	no	—
209	#546	—	47	4	no	—
210	#536	—	47	1	no	—
211	#536	—	47	2	no	—
212	#535	—	47	1	no	—
213	#535	—	47	2	no	—
214	#532	—	47	2	no	—
215	#532	D₄₇	1	1	yes	characteristic, complemented
216	C₂×#124	—	47	2	no	—
217	C₂×#124	—	47	1	no	—
218	C₄×#41	—	47	1	no	—
219	C₄₇	#3500	1	1	yes	characteristic, complemented, Sylow
220	2₋¹⁺⁴	—	94	8	no	—
221	H(5,𝔽₂)	—	94	8	no	—
222	C₂×#41	—	47	2	no	—
223	C₂×#41	—	47	2	no	—
224	C₂×#41	—	47	4	no	—
225	C₂×#41	—	47	1	no	—
226	C₂×#41	—	47	2	no	—
227	C₂×#41	—	47	2	no	—
228	C₂×#41	C₂×D₄₇	1	1	yes	characteristic
229	C₂×#41	C₂×D₄₇	1	1	yes	characteristic, complemented
230	C₂²×Q₈	—	47	2	no	—
231	C₂²×Q₈	—	47	1	no	—
232	C₂²×Q₈	—	47	2	no	—
233	C₂²×D₄	—	47	2	no	—
234	C₂²×D₄	—	47	4	no	—
235	C₂²×D₄	—	47	1	no	—
236	C₂²×D₄	—	47	2	no	—
237	C₄⋊Q₈	—	47	2	no	—
238	C₄⋊Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
239	#127	—	47	2	no	—
240	#127	C₂×D₄₇	1	1	yes	characteristic, complemented
241	#124	—	47	2	no	—
242	#124	—	47	2	no	—
243	#124	—	47	8	no	—
244	#124	—	47	2	no	—
245	#124	—	47	2	no	—
246	#124	—	47	4	no	—
247	#124	C₂×D₄₇	1	1	yes	characteristic, complemented
248	#124	C₂×D₄₇	1	1	yes	characteristic, complemented
249	#123	—	47	4	no	—
250	#123	—	47	8	no	—
251	C₂²⋊Q₈	—	47	4	no	—
252	C₂²⋊Q₈	—	47	8	no	—
253	#121	—	47	8	no	—
254	#121	—	47	4	no	—
255	#121	—	47	8	no	—
256	#121	C₂×D₄₇	1	4	yes	complemented
257	#120	—	47	8	no	—
258	#120	—	47	4	no	—
259	C₄×Q₈	—	47	2	no	—
260	C₄×D₄	—	47	4	no	—
261	C₄×D₄	—	47	8	no	—
262	C₄×D₄	—	47	2	no	—
263	C₄×D₄	C₂×D₄₇	1	4	yes	complemented
264	#117	—	47	1	no	—
265	#117	—	47	2	no	—
266	C₂×C₂²⋊C₄	—	47	4	no	—
267	C₂×C₂²⋊C₄	—	47	8	no	—
268	C₂×C₄²	—	47	2	no	—
269	C₂×C₄²	C₂×D₄₇	1	1	yes	characteristic, complemented
270	C₂⁴	—	47	4	no	—
271	C₂⁴	—	47	2	no	—
272	#41	—	2	4	no	—
273	#41	—	2	4	no	—
274	#41	—	47	8	no	—
275	#41	—	94	8	no	—
276	#41	—	94	8	no	—
277	#41	—	94	8	no	—
278	#41	—	94	8	no	—
279	#41	—	94	16	no	—
280	C₂×Q₈	—	47	1	no	—
281	C₂×Q₈	—	47	4	no	—
282	C₂×Q₈	—	47	2	no	—
283	C₂×Q₈	—	47	2	no	—
284	C₂×Q₈	—	94	8	no	—
285	C₂×Q₈	—	94	8	no	—
286	C₂×Q₈	—	94	4	no	—
287	C₂×Q₈	C₂²×D₄₇	1	1	yes	characteristic
288	C₂×Q₈	C₂²×D₄₇	1	1	yes	characteristic
289	C₂×D₄	—	47	2	no	—
290	C₂×D₄	—	47	4	no	—
291	C₂×D₄	—	47	4	no	—
292	C₂×D₄	—	47	8	no	—
293	C₂×D₄	—	47	1	no	—
294	C₂×D₄	—	47	4	no	—
295	C₂×D₄	—	47	2	no	—
296	C₂×D₄	—	47	2	no	—
297	C₂×D₄	—	94	8	no	—
298	C₂×D₄	—	94	8	no	—
299	C₂×D₄	—	94	16	no	—
300	C₂×D₄	—	94	4	no	—
301	C₂×D₄	C₂²×D₄₇	1	2	yes	—
302	C₂×D₄	C₂²×D₄₇	1	2	yes	—
303	C₂×D₄	C₂²×D₄₇	1	1	yes	characteristic
304	C₂×D₄	C₂²×D₄₇	1	1	yes	characteristic
305	C₂×D₄	C₂²×D₄₇	1	4	yes	—
306	C₂²×C₄	—	47	2	no	—
307	C₂²×C₄	—	47	2	no	—
308	C₂²×C₄	—	47	4	no	—
309	C₂²×C₄	—	47	4	no	—
310	C₂²×C₄	—	47	4	no	—
311	C₂²×C₄	—	47	4	no	—
312	C₂²×C₄	C₂²×D₄₇	1	2	yes	—
313	C₂²×C₄	C₂²×D₄₇	1	2	yes	—
314	C₂²×C₄	C₂²×D₄₇	1	2	yes	—
315	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
316	C₄⋊C₄	—	47	4	no	—
317	C₄⋊C₄	—	47	8	no	—
318	C₄⋊C₄	—	47	2	no	—
319	C₄⋊C₄	C₂²×D₄₇	1	4	yes	—
320	C₂²⋊C₄	—	47	8	no	—
321	C₂²⋊C₄	—	47	2	no	—
322	C₂²⋊C₄	—	47	8	no	—
323	C₂²⋊C₄	—	47	8	no	—
324	C₂²⋊C₄	—	47	8	no	—
325	C₂²⋊C₄	—	47	4	no	—
326	C₂²⋊C₄	C₂²×D₄₇	1	4	yes	—
327	C₂²⋊C₄	C₂²×D₄₇	1	4	yes	—
328	C₄²	—	47	2	no	—
329	C₄²	—	47	4	no	—
330	C₄²	C₂²×D₄₇	1	1	yes	characteristic
331	C₄²	C₂²×D₄₇	1	1	yes	characteristic
332	C₄²	C₂²×D₄₇	1	2	yes	—
333	C₂³	—	47	2	no	—
334	C₂³	—	47	4	no	—
335	C₂³	—	94	8	no	—
336	C₂³	—	94	4	no	—
337	C₂³	—	188	4	no	—
338	C₂³	—	188	8	no	—
339	C₂³	C₂³×D₄₇	1	2	yes	—
340	C₂³	C₂³×D₄₇	1	2	yes	—
341	C₂³	C₂³×D₄₇	1	1	yes	characteristic
342	Q₈	—	2	2	no	—
343	Q₈	—	2	2	no	—
344	Q₈	—	47	4	no	—
345	Q₈	—	94	8	no	—
346	Q₈	—	94	4	no	—
347	Q₈	—	94	4	no	—
348	D₄	—	2	4	no	—
349	D₄	—	2	4	no	—
350	D₄	—	2	2	no	—
351	D₄	—	2	2	no	—
352	D₄	—	4	4	no	—
353	D₄	—	47	8	no	—
354	D₄	—	47	4	no	—
355	D₄	—	94	8	no	—
356	D₄	—	94	8	no	—
357	D₄	—	94	8	no	—
358	D₄	—	94	4	no	—
359	D₄	—	94	4	no	—
360	D₄	—	188	8	no	—
361	C₂×C₄	—	2	4	no	—
362	C₂×C₄	—	2	4	no	—
363	C₂×C₄	—	4	2	no	—
364	C₂×C₄	—	47	2	no	—
365	C₂×C₄	—	47	8	no	—
366	C₂×C₄	—	47	4	no	—
367	C₂×C₄	—	47	4	no	—
368	C₂×C₄	—	94	8	no	—
369	C₂×C₄	—	94	8	no	—
370	C₂×C₄	—	94	8	no	—
371	C₂×C₄	—	94	4	no	—
372	C₂×C₄	—	188	4	no	—
373	C₂×C₄	D₄×D₄₇	1	4	yes	—
374	C₂×C₄	C₂³×D₄₇	1	2	yes	—
375	C₂×C₄	C₂³×D₄₇	1	2	yes	—
376	C₂×C₄	C₂³×D₄₇	1	2	yes	—
377	C₂×C₄	C₂³×D₄₇	1	2	yes	—
378	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
379	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
380	C₂²	—	2	2	no	—
381	C₂²	—	2	2	no	—
382	C₂²	—	2	2	no	—
383	C₂²	—	2	4	no	—
384	C₂²	—	2	4	no	—
385	C₂²	—	47	4	no	—
386	C₂²	—	94	4	no	—
387	C₂²	—	94	4	no	—
388	C₂²	—	94	8	no	—
389	C₂²	—	376	4	no	—
390	C₂²	—	376	8	no	—
391	C₂²	C₂×D₄×D₄₇	1	2	yes	—
392	C₂²	C₂⁴×D₄₇	1	1	yes	characteristic
393	C₄	—	2	2	no	—
394	C₄	—	2	2	no	—
395	C₄	—	2	2	no	—
396	C₄	—	2	2	no	—
397	C₄	—	47	4	no	—
398	C₄	—	94	4	no	—
399	C₄	—	94	4	no	—
400	C₄	C₂×D₄×D₄₇	1	2	yes	—
401	C₄	C₂×D₄×D₄₇	1	2	yes	—
402	C₂	—	2	2	no	—
403	C₂	—	4	2	no	—
404	C₂	—	4	2	no	—
405	C₂	—	94	4	no	—
406	C₂	—	188	4	no	—
407	C₂	C₂²×D₄×D₄₇	1	1	yes	characteristic
408	C₂	#15689959	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁵
Fitting	C₄₇×#532	C₂
hypercenter	#532	D₄₇
hypocenter	C₄₇	#3500
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #532

Complements

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

N	H ≅ G/N	type
1. C₂×#13094071	C₂	semidirect
2. C₂×#13094070	C₂	semidirect
3. #15689782	C₂	semidirect
4. #15689769	C₂	semidirect
5. #15689762	C₂	semidirect
6. #15689698	C₂	semidirect
7. #15689694	C₂	semidirect
8. #15689687	C₂	semidirect
9. #15689686	C₂	semidirect
10. #15689672	C₂	semidirect
11. C₂×#13094012	C₂	semidirect
12. #124×D₄₇	C₂	semidirect
13. C₄×#10625350	C₂	semidirect
14. C₄₇×#532	C₂	semidirect
20. C₂×#10625350	C₂²	semidirect
21. C₂×#10625352	C₂²	semidirect
22. C₂×#10625352	C₂²	semidirect
23. C₂²×Dic₉₄	C₂²	semidirect
24. C₂²×Dic₉₄	C₂²	semidirect
25. C₂×Q₈×D₄₇	C₂²	semidirect
30. #13094022	C₂²	semidirect
31. #13094020	C₂²	semidirect
32. #13094013	C₂²	semidirect
33. #13094012	C₂²	semidirect
34. #13094012	C₂²	semidirect
35. #13094012	C₂²	semidirect
36. #13094011	C₂²	semidirect
37. #13094010	C₂²	semidirect
38. #13094009	C₂²	semidirect
39. #13094005	C₂²	semidirect
40. #13094003	C₂²	semidirect
41. #13094002	C₂²	semidirect
42. #13093998	C₂²	semidirect
43. #13093997	C₂²	semidirect
44. #13093996	C₂²	semidirect
45. #13093992	C₂²	semidirect
46. #13093992	C₂²	semidirect
47. C₄×Dic₉₄	C₂²	semidirect
48. C₄×D₁₈₈	C₂²	semidirect
49. C₄×C₂²⋊D₄₇	C₂²	semidirect
50. (C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
51. #13093983	C₂²	semidirect
52. #13093981	C₂²	semidirect
53. C₂×(C₂×D₄₇)⋊C₄	C₂²	semidirect
54. C₂²⋊C₄×D₄₇	C₂²	semidirect
55. C₄²×D₄₇	C₂²	semidirect
57. C₂×#41×C₄₇	C₂²	semidirect
58. C₄⋊Q₈×C₄₇	C₂²	semidirect
59. #127×C₄₇	C₂²	semidirect
60. #124×C₄₇	C₂²	semidirect
61. #124×C₄₇	C₂²	semidirect
62. #121×C₄₇	C₂²	semidirect
63. C₄×D₄×C₄₇	C₂²	semidirect
64. C₂×C₄²×C₄₇	C₂²	semidirect
94. #10625350	D₄	semidirect
215. #532	D₄₇	semidirect
219. C₄₇	#3500	semidirect
229. C₂×#41	C₂×D₄₇	semidirect
238. C₄⋊Q₈	C₂×D₄₇	semidirect
240. #127	C₂×D₄₇	semidirect
247. #124	C₂×D₄₇	semidirect
248. #124	C₂×D₄₇	semidirect
256. #121	C₂×D₄₇	semidirect
263. C₄×D₄	C₂×D₄₇	semidirect
269. C₂×C₄²	C₂×D₄₇	semidirect