Subgroups — #20257081

Order 6016.

1052 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	#15689813	C₂	1	4	yes	maximal, complemented
2	#15689806	C₂	1	4	yes	maximal, complemented
3	#15689802	C₂	1	4	yes	maximal, complemented
4	#15689799	C₂	1	4	yes	maximal, complemented
5	#15689749	C₂	1	1	yes	maximal, characteristic, complemented
6	#15689715	C₂	1	4	yes	maximal, complemented
7	#15689682	C₂	1	1	yes	maximal, characteristic
8	#15689653	C₂	1	4	yes	maximal, complemented
9	C₂×#13094008	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#13094005	C₂	1	1	yes	maximal, characteristic, complemented
11	#15689596	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13093980	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₇×#518	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂²×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
15	C₂³×Dic₄₇	C₂²	1	1	yes	characteristic
16	#13094019	C₂²	1	4	yes	complemented
17	#13094018	C₂²	1	4	yes	complemented
18	#13094017	C₂²	1	4	yes	complemented
19	#13094017	C₂²	1	4	yes	complemented
20	#13094016	C₂²	1	4	yes	complemented
21	#13094014	C₂²	1	4	yes	complemented
22	#13094014	C₂²	1	4	yes	complemented
23	#13094010	C₂²	1	4	yes	complemented
24	#13094008	C₂²	1	4	yes	—
25	#13094008	C₂²	1	2	yes	complemented
26	#13094008	C₂²	1	2	yes	complemented
27	#13094007	C₂²	1	2	yes	—
28	#13094007	C₂²	1	4	yes	complemented
29	#13094006	C₂²	1	4	yes	complemented
30	#13094005	C₂²	1	4	yes	—
31	#13094005	C₂²	1	2	yes	—
32	#13094005	C₂²	1	2	yes	complemented
33	#13094005	C₂²	1	2	yes	complemented
34	#13094003	C₂²	1	4	yes	complemented
35	#13094003	C₂²	1	4	yes	complemented
36	#13094002	C₂²	1	4	yes	complemented
37	#13094001	C₂²	1	4	yes	complemented
38	#13094001	C₂²	1	4	yes	complemented
39	#13093996	C₂²	1	4	yes	—
40	#13093993	C₂²	1	2	yes	—
41	#13093992	C₂²	1	2	yes	—
42	C₄×Dic₉₄	C₂²	1	4	yes	complemented
43	C₄×C₂²⋊D₄₇	C₂²	1	4	yes	complemented
44	C₄×C₂²⋊D₄₇	C₂²	1	4	yes	complemented
45	(C₂²⋊D₄₇)⋊C₄	C₂²	1	4	yes	—
46	#13093983	C₂²	1	4	yes	complemented
47	#13093981	C₂²	1	4	yes	complemented
48	#13093980	C₂²	1	4	yes	complemented
49	#13093980	C₂²	1	4	yes	complemented
50	#13093980	C₂²	1	2	yes	complemented
51	C₂×C₄⋊Dic₄₇	C₂²	1	2	yes	complemented
52	C₂×Dic₄₇⋊C₄	C₂²	1	2	yes	complemented
53	C₂×Dic₄₇⋊C₄	C₂²	1	2	yes	complemented
54	C₂×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
55	C₂×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
56	C₂×C₂²⋊Dic₄₇	C₂²	1	2	yes	complemented
57	C₂×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	complemented
58	C₂²⋊C₄×D₄₇	C₂²	1	2	yes	complemented
59	C₂×C₄×Dic₄₇	C₂²	1	2	yes	complemented
60	C₂²×D₄×C₄₇	C₂²	1	1	yes	characteristic
61	C₄×D₄×C₄₇	C₂²	1	4	yes	—
62	C₄×D₄×C₄₇	C₂²	1	4	yes	complemented
63	#117×C₄₇	C₂²	1	2	yes	complemented
64	C₂×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
65	C₂×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
66	C₂×C₂²⋊C₄×C₄₇	C₂²	1	2	yes	complemented
67	C₂⁴×C₄₇	C₂³	1	1	yes	characteristic
68	C₂⁴×C₄₇	C₂³	1	1	yes	characteristic
69	C₂³×D₄₇	C₂³	1	1	yes	characteristic
70	C₂×D₄×C₄₇	—	2	4	no	—
71	C₂×D₄×C₄₇	C₂³	1	2	yes	—
72	C₂×D₄×C₄₇	C₂³	1	2	yes	—
73	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
74	C₂²×C₄×C₄₇	C₂³	1	2	yes	—
75	C₂²×C₄×C₄₇	C₂³	1	2	yes	—
76	C₂²×C₄×C₄₇	C₂³	1	4	yes	—
77	C₂×C₂²⋊D₄₇	—	2	4	no	—
78	C₂×C₂²⋊D₄₇	C₂³	1	2	yes	—
79	C₂×C₂²⋊D₄₇	C₂³	1	2	yes	—
80	C₂×C₂²⋊D₄₇	C₂³	1	4	yes	—
81	C₂²×Dic₄₇	—	2	4	no	—
82	C₂²×Dic₄₇	C₂³	1	1	yes	characteristic
83	C₂²×Dic₄₇	C₂³	1	2	yes	—
84	C₂²×Dic₄₇	C₂³	1	2	yes	—
85	C₂²×Dic₄₇	C₂³	1	1	yes	characteristic
86	C₂²×Dic₄₇	C₂³	1	1	yes	characteristic
87	C₂²×Dic₄₇	C₂³	1	2	yes	—
88	C₂²×Dic₄₇	C₂³	1	2	yes	—
89	C₂×C₄×D₄₇	C₂³	1	4	yes	—
90	C₂×Dic₉₄	C₂³	1	4	yes	—
91	C₄⋊C₄×C₄₇	C₂³	1	4	yes	—
92	C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
93	C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
94	C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
95	C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
96	C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
97	C₄²×C₄₇	C₂³	1	4	yes	—
98	C₂²⋊Dic₄₇	C₂³	1	2	yes	—
99	C₂²⋊Dic₄₇	C₂³	1	2	yes	—
100	C₂²⋊Dic₄₇	C₂³	1	2	yes	—
101	C₂²⋊Dic₄₇	C₂³	1	2	yes	—
102	C₂²⋊Dic₄₇	C₂³	1	4	yes	—
103	C₂²⋊Dic₄₇	C₂³	1	4	yes	—
104	C₂²⋊Dic₄₇	C₂³	1	4	yes	—
105	(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
106	(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
107	(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
108	(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
109	C₄⋊Dic₄₇	C₂³	1	4	yes	—
110	C₄⋊Dic₄₇	C₂³	1	4	yes	—
111	C₄⋊Dic₄₇	C₂³	1	4	yes	—
112	Dic₄₇⋊C₄	C₂³	1	4	yes	—
113	Dic₄₇⋊C₄	C₂³	1	4	yes	—
114	Dic₄₇⋊C₄	C₂³	1	4	yes	—
115	Dic₄₇⋊C₄	C₂³	1	4	yes	—
116	Dic₄₇⋊C₄	C₂³	1	4	yes	—
117	Dic₄₇⋊C₄	C₂³	1	4	yes	—
118	Dic₄₇⋊C₄	C₂³	1	4	yes	—
119	Dic₄₇⋊C₄	C₂³	1	4	yes	—
120	C₄×Dic₄₇	C₂³	1	4	yes	—
121	C₄×Dic₄₇	C₂³	1	4	yes	—
122	C₄×Dic₄₇	C₂³	1	4	yes	—
123	C₂³×C₄₇	—	2	2	no	—
124	C₂³×C₄₇	—	4	2	no	—
125	C₂³×C₄₇	—	4	2	no	—
126	C₂³×C₄₇	#41	1	4	yes	—
127	C₂³×C₄₇	C₂⁴	1	2	yes	—
128	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
129	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
130	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
131	C₂²×D₄₇	—	2	2	no	—
132	C₂²×D₄₇	—	4	2	no	—
133	C₂²×D₄₇	C₂⁴	1	2	yes	—
134	D₄×C₄₇	—	2	4	no	—
135	D₄×C₄₇	—	2	4	no	—
136	C₂×C₄×C₄₇	—	2	2	no	—
137	C₂×C₄×C₄₇	—	4	2	no	—
138	C₂×C₄×C₄₇	—	4	4	no	—
139	C₂×C₄×C₄₇	—	4	2	no	—
140	C₂×C₄×C₄₇	C₂⁴	1	4	yes	—
141	C₂×C₄×C₄₇	C₂⁴	1	2	yes	—
142	C₂×C₄×C₄₇	C₂⁴	1	4	yes	—
143	C₂²⋊D₄₇	—	2	4	no	—
144	C₂²⋊D₄₇	—	2	4	no	—
145	C₂²⋊D₄₇	—	4	4	no	—
146	C₂×Dic₄₇	—	2	4	no	—
147	C₂×Dic₄₇	—	2	4	no	—
148	C₂×Dic₄₇	—	2	2	no	—
149	C₂×Dic₄₇	—	2	2	no	—
150	C₂×Dic₄₇	—	2	2	no	—
151	C₂×Dic₄₇	—	4	2	no	—
152	C₂×Dic₄₇	—	4	2	no	—
153	C₂×Dic₄₇	C₂⁴	1	2	yes	—
154	C₂×Dic₄₇	C₂⁴	1	4	yes	—
155	C₂×Dic₄₇	C₂⁴	1	2	yes	—
156	C₂×Dic₄₇	C₂⁴	1	4	yes	—
157	C₂×Dic₄₇	C₂⁴	1	2	yes	—
158	C₄×D₄₇	—	4	4	no	—
159	Dic₉₄	—	4	4	no	—
160	C₂²×C₄₇	—	2	2	no	—
161	C₂²×C₄₇	—	2	2	no	—
162	C₂²×C₄₇	—	2	2	no	—
163	C₂²×C₄₇	—	2	2	no	—
164	C₂²×C₄₇	—	2	4	no	—
165	C₂²×C₄₇	—	4	4	no	—
166	C₂²×C₄₇	—	8	2	no	—
167	C₂²×C₄₇	C₂×#41	1	2	yes	—
168	C₂²×C₄₇	C₂×#41	1	2	yes	—
169	C₂²×C₄₇	C₂×#41	1	2	yes	—
170	C₂²×C₄₇	C₂⁵	1	1	yes	characteristic
171	C₂×D₄₇	—	2	2	no	—
172	C₂×D₄₇	—	2	4	no	—
173	C₂×D₄₇	—	8	2	no	—
174	C₄×C₄₇	—	2	2	no	—
175	C₄×C₄₇	—	2	4	no	—
176	C₄×C₄₇	—	2	4	no	—
177	Dic₄₇	—	2	2	no	—
178	Dic₄₇	—	2	2	no	—
179	Dic₄₇	—	2	2	no	—
180	Dic₄₇	—	2	4	no	—
181	Dic₄₇	—	2	4	no	—
182	#3491	—	47	1	no	maximal, Sylow
183	C₂×C₄₇	—	2	2	no	—
184	C₂×C₄₇	—	2	2	no	—
185	C₂×C₄₇	—	2	2	no	—
186	C₂×C₄₇	—	4	2	no	—
187	C₂×C₄₇	C₂²×#41	1	1	yes	characteristic
188	C₂×C₄₇	#585	1	2	yes	—
189	D₄₇	—	4	2	no	—
190	#552	—	47	4	no	—
191	#552	—	47	4	no	—
192	#551	—	47	4	no	—
193	#551	—	47	4	no	—
194	#543	—	47	1	no	—
195	#539	—	47	4	no	—
196	#534	—	47	1	no	—
197	#529	—	47	4	no	—
198	C₂×#123	—	47	1	no	—
199	C₂×#123	—	47	1	no	—
200	#518	—	47	1	no	—
201	#518	D₄₇	1	1	yes	characteristic, complemented
202	C₂×#117	—	47	1	no	—
203	C₄₇	#3491	1	1	yes	characteristic, complemented, Sylow
204	C₂²×D₄	—	47	1	no	—
205	C₂²×D₄	C₂×D₄₇	1	1	yes	characteristic
206	C₂³×C₄	—	47	1	no	—
207	#126	—	47	4	no	—
208	#126	—	47	4	no	—
209	#126	—	47	4	no	—
210	#126	—	47	4	no	—
211	#125	—	47	4	no	—
212	#125	—	47	4	no	—
213	#125	—	47	4	no	—
214	#124	—	47	4	no	—
215	#123	—	47	2	no	—
216	#123	—	47	2	no	—
217	#123	—	47	4	no	—
218	#123	—	47	2	no	—
219	#123	—	47	2	no	—
220	#123	—	47	4	no	—
221	#123	—	47	2	no	—
222	#123	—	47	2	no	—
223	#123	—	47	4	no	—
224	#123	—	47	4	no	—
225	C₂²⋊Q₈	—	47	4	no	—
226	C₂²⋊Q₈	—	47	4	no	—
227	C₂²⋊Q₈	—	47	4	no	—
228	C₂²⋊Q₈	—	47	4	no	—
229	C₂²⋊Q₈	—	47	4	no	—
230	#121	—	47	4	no	—
231	#120	—	47	2	no	—
232	#120	—	47	2	no	—
233	C₄×Q₈	—	47	4	no	—
234	C₄×D₄	—	47	4	no	—
235	C₄×D₄	—	47	4	no	—
236	C₄×D₄	—	47	4	no	—
237	C₄×D₄	C₂×D₄₇	1	4	yes	—
238	C₄×D₄	C₂×D₄₇	1	4	yes	complemented
239	#117	—	47	4	no	—
240	#117	—	47	4	no	—
241	#117	—	47	4	no	—
242	#117	—	47	2	no	—
243	#117	—	47	4	no	—
244	#117	C₂×D₄₇	1	2	yes	complemented
245	C₂×C₄⋊C₄	—	47	2	no	—
246	C₂×C₄⋊C₄	—	47	2	no	—
247	C₂×C₄⋊C₄	—	47	2	no	—
248	C₂×C₂²⋊C₄	—	47	1	no	—
249	C₂×C₂²⋊C₄	—	47	1	no	—
250	C₂×C₂²⋊C₄	—	47	2	no	—
251	C₂×C₂²⋊C₄	—	47	2	no	—
252	C₂×C₂²⋊C₄	—	47	2	no	—
253	C₂×C₂²⋊C₄	C₂×D₄₇	1	1	yes	characteristic
254	C₂×C₂²⋊C₄	C₂×D₄₇	1	1	yes	characteristic
255	C₂×C₂²⋊C₄	C₂×D₄₇	1	2	yes	complemented
256	C₂×C₄²	—	47	2	no	—
257	C₂⁴	—	47	1	no	—
258	C₂⁴	C₂²×D₄₇	1	1	yes	characteristic
259	C₂⁴	C₂²×D₄₇	1	1	yes	characteristic
260	C₂×Q₈	—	47	4	no	—
261	C₂×D₄	—	2	4	no	—
262	C₂×D₄	—	47	2	no	—
263	C₂×D₄	—	47	2	no	—
264	C₂×D₄	—	47	4	no	—
265	C₂×D₄	—	94	4	no	—
266	C₂×D₄	C₂²×D₄₇	1	2	yes	—
267	C₂×D₄	C₂²×D₄₇	1	2	yes	—
268	C₂²×C₄	—	47	1	no	—
269	C₂²×C₄	—	47	2	no	—
270	C₂²×C₄	—	47	2	no	—
271	C₂²×C₄	—	47	1	no	—
272	C₂²×C₄	—	47	1	no	—
273	C₂²×C₄	—	47	2	no	—
274	C₂²×C₄	—	47	2	no	—
275	C₂²×C₄	—	47	4	no	—
276	C₂²×C₄	—	94	4	no	—
277	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
278	C₂²×C₄	C₂²×D₄₇	1	2	yes	—
279	C₂²×C₄	C₂²×D₄₇	1	2	yes	—
280	C₂²×C₄	C₂²×D₄₇	1	4	yes	—
281	C₄⋊C₄	—	47	4	no	—
282	C₄⋊C₄	—	47	4	no	—
283	C₄⋊C₄	—	47	4	no	—
284	C₄⋊C₄	—	47	4	no	—
285	C₄⋊C₄	—	47	4	no	—
286	C₄⋊C₄	—	47	4	no	—
287	C₄⋊C₄	—	47	4	no	—
288	C₄⋊C₄	—	47	4	no	—
289	C₄⋊C₄	—	47	4	no	—
290	C₄⋊C₄	—	47	4	no	—
291	C₄⋊C₄	—	47	4	no	—
292	C₄⋊C₄	C₂²×D₄₇	1	4	yes	—
293	C₂²⋊C₄	—	47	2	no	—
294	C₂²⋊C₄	—	47	2	no	—
295	C₂²⋊C₄	—	47	2	no	—
296	C₂²⋊C₄	—	47	4	no	—
297	C₂²⋊C₄	—	47	2	no	—
298	C₂²⋊C₄	—	47	4	no	—
299	C₂²⋊C₄	—	47	4	no	—
300	C₂²⋊C₄	—	47	4	no	—
301	C₂²⋊C₄	—	47	4	no	—
302	C₂²⋊C₄	—	47	4	no	—
303	C₂²⋊C₄	—	47	4	no	—
304	C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
305	C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
306	C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
307	C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
308	C₂²⋊C₄	C₂²×D₄₇	1	4	yes	—
309	C₄²	—	47	4	no	—
310	C₄²	—	47	4	no	—
311	C₄²	—	47	4	no	—
312	C₄²	C₂²×D₄₇	1	4	yes	—
313	C₂³	—	2	2	no	—
314	C₂³	—	4	2	no	—
315	C₂³	—	4	2	no	—
316	C₂³	—	47	2	no	—
317	C₂³	—	94	2	no	—
318	C₂³	—	188	2	no	—
319	C₂³	#10625350	1	4	yes	—
320	C₂³	C₂³×D₄₇	1	2	yes	—
321	C₂³	C₂³×D₄₇	1	1	yes	characteristic
322	C₂³	C₂³×D₄₇	1	1	yes	characteristic
323	C₂³	C₂³×D₄₇	1	1	yes	characteristic
324	Q₈	—	188	4	no	—
325	D₄	—	2	4	no	—
326	D₄	—	2	4	no	—
327	D₄	—	94	4	no	—
328	D₄	—	94	4	no	—
329	D₄	—	188	4	no	—
330	C₂×C₄	—	2	2	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	4	4	no	—
333	C₂×C₄	—	4	2	no	—
334	C₂×C₄	—	47	2	no	—
335	C₂×C₄	—	47	4	no	—
336	C₂×C₄	—	47	2	no	—
337	C₂×C₄	—	47	4	no	—
338	C₂×C₄	—	47	2	no	—
339	C₂×C₄	—	94	4	no	—
340	C₂×C₄	—	94	4	no	—
341	C₂×C₄	—	94	2	no	—
342	C₂×C₄	—	94	2	no	—
343	C₂×C₄	—	94	2	no	—
344	C₂×C₄	—	188	4	no	—
345	C₂×C₄	—	188	2	no	—
346	C₂×C₄	—	188	2	no	—
347	C₂×C₄	C₂³×D₄₇	1	4	yes	—
348	C₂×C₄	C₂³×D₄₇	1	2	yes	—
349	C₂×C₄	C₂³×D₄₇	1	4	yes	—
350	C₂²	—	2	2	no	—
351	C₂²	—	2	2	no	—
352	C₂²	—	2	2	no	—
353	C₂²	—	2	2	no	—
354	C₂²	—	2	4	no	—
355	C₂²	—	4	4	no	—
356	C₂²	—	8	2	no	—
357	C₂²	—	94	2	no	—
358	C₂²	—	94	4	no	—
359	C₂²	—	376	2	no	—
360	C₂²	C₂×#10625350	1	2	yes	—
361	C₂²	C₂×#10625350	1	2	yes	—
362	C₂²	C₂×#10625350	1	2	yes	—
363	C₂²	C₂⁴×D₄₇	1	1	yes	characteristic
364	C₄	—	2	2	no	—
365	C₄	—	2	4	no	—
366	C₄	—	2	4	no	—
367	C₄	—	94	2	no	—
368	C₄	—	94	2	no	—
369	C₄	—	94	2	no	—
370	C₄	—	94	4	no	—
371	C₄	—	94	4	no	—
372	C₂	—	2	2	no	—
373	C₂	—	2	2	no	—
374	C₂	—	2	2	no	—
375	C₂	—	4	2	no	—
376	C₂	—	188	2	no	—
377	C₂	C₂²×#10625350	1	1	yes	characteristic
378	C₂	#15689958	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁵
Fitting	C₄₇×#518	C₂
hypercenter	#518	D₄₇
hypocenter	C₄₇	#3491
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #518

Complements

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

N	H ≅ G/N	type
1. #15689813	C₂	semidirect
2. #15689806	C₂	semidirect
3. #15689802	C₂	semidirect
4. #15689799	C₂	semidirect
5. #15689749	C₂	semidirect
6. #15689715	C₂	semidirect
8. #15689653	C₂	semidirect
9. C₂×#13094008	C₂	semidirect
10. C₂×#13094005	C₂	semidirect
11. #15689596	C₂	semidirect
12. C₂×#13093980	C₂	semidirect
13. C₄₇×#518	C₂	semidirect
16. #13094019	C₂²	semidirect
17. #13094018	C₂²	semidirect
18. #13094017	C₂²	semidirect
19. #13094017	C₂²	semidirect
20. #13094016	C₂²	semidirect
21. #13094014	C₂²	semidirect
22. #13094014	C₂²	semidirect
23. #13094010	C₂²	semidirect
25. #13094008	C₂²	semidirect
26. #13094008	C₂²	semidirect
28. #13094007	C₂²	semidirect
29. #13094006	C₂²	semidirect
32. #13094005	C₂²	semidirect
33. #13094005	C₂²	semidirect
34. #13094003	C₂²	semidirect
35. #13094003	C₂²	semidirect
36. #13094002	C₂²	semidirect
37. #13094001	C₂²	semidirect
38. #13094001	C₂²	semidirect
42. C₄×Dic₉₄	C₂²	semidirect
43. C₄×C₂²⋊D₄₇	C₂²	semidirect
44. C₄×C₂²⋊D₄₇	C₂²	semidirect
46. #13093983	C₂²	semidirect
47. #13093981	C₂²	semidirect
48. #13093980	C₂²	semidirect
49. #13093980	C₂²	semidirect
50. #13093980	C₂²	semidirect
51. C₂×C₄⋊Dic₄₇	C₂²	semidirect
52. C₂×Dic₄₇⋊C₄	C₂²	semidirect
53. C₂×Dic₄₇⋊C₄	C₂²	semidirect
56. C₂×C₂²⋊Dic₄₇	C₂²	semidirect
57. C₂×(C₂×D₄₇)⋊C₄	C₂²	semidirect
58. C₂²⋊C₄×D₄₇	C₂²	semidirect
59. C₂×C₄×Dic₄₇	C₂²	semidirect
62. C₄×D₄×C₄₇	C₂²	semidirect
63. #117×C₄₇	C₂²	semidirect
66. C₂×C₂²⋊C₄×C₄₇	C₂²	semidirect
201. #518	D₄₇	semidirect
203. C₄₇	#3491	semidirect
238. C₄×D₄	C₂×D₄₇	semidirect
244. #117	C₂×D₄₇	semidirect
255. C₂×C₂²⋊C₄	C₂×D₄₇	semidirect