Subgroups — #20257150

Order 6016.

1660 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	C₂×#13094070	C₂	1	2	yes	maximal, complemented
2	#15689778	C₂	1	2	yes	maximal, complemented
3	#15689776	C₂	1	2	yes	maximal, complemented
4	#15689769	C₂	1	4	yes	maximal, complemented
5	#15689766	C₂	1	4	yes	maximal, complemented
6	D₄×D₁₈₈	C₂	1	2	yes	maximal, complemented
7	#15689758	C₂	1	2	yes	maximal, complemented
8	#15689701	C₂	1	2	yes	maximal, complemented
9	#15689681	C₂	1	4	yes	maximal, complemented
10	#15689673	C₂	1	1	yes	maximal, characteristic, complemented
11	#121×D₄₇	C₂	1	4	yes	maximal, complemented
12	C₂×C₄×D₁₈₈	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₇×#532	C₂	1	1	yes	maximal, characteristic, complemented
14	#13094070	—	2	16	no	—
15	C₂×#10625354	C₂²	1	4	yes	complemented
16	C₂×#10625350	C₂²	1	4	yes	complemented
17	C₂×#10625350	C₂²	1	2	yes	complemented
18	C₂²×D₁₈₈	C₂²	1	1	yes	characteristic
19	C₂²×D₁₈₈	C₂²	1	4	yes	complemented
20	C₂×D₄×D₄₇	C₂²	1	4	yes	complemented
21	C₂×D₄×D₄₇	C₂²	1	8	yes	complemented
22	C₂×D₄×D₄₇	C₂²	1	4	yes	complemented
23	C₂²×C₄×D₄₇	C₂²	1	2	yes	complemented
24	#13094024	C₂²	1	1	yes	characteristic, complemented
25	#13094021	C₂²	1	1	yes	characteristic, complemented
26	#13094012	C₂²	1	2	yes	complemented
27	#13094009	C₂²	1	8	yes	complemented
28	#13094006	C₂²	1	8	yes	complemented
29	#13094003	C₂²	1	4	yes	complemented
30	#13094000	C₂²	1	4	yes	complemented
31	#13093999	C₂²	1	4	yes	complemented
32	#13093998	C₂²	1	4	yes	complemented
33	#13093998	C₂²	1	2	yes	complemented
34	#13093998	C₂²	1	2	yes	complemented
35	#13093997	C₂²	1	8	yes	complemented
36	#13093996	C₂²	1	8	yes	complemented
37	#13093995	C₂²	1	4	yes	complemented
38	#13093995	C₂²	1	4	yes	complemented
39	#13093994	C₂²	1	8	yes	complemented
40	#13093992	C₂²	1	8	yes	complemented
41	C₄×D₁₈₈	C₂²	1	2	yes	complemented
42	C₄×D₁₈₈	C₂²	1	2	yes	complemented
43	C₄×D₁₈₈	C₂²	1	2	yes	complemented
44	C₄×D₁₈₈	C₂²	1	2	yes	complemented
45	C₄×D₁₈₈	C₂²	1	2	yes	complemented
46	C₄×D₁₈₈	C₂²	1	2	yes	complemented
47	C₂×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic, complemented
48	C₄⋊C₄×D₄₇	C₂²	1	4	yes	complemented
49	C₂×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	complemented
50	C₂²⋊C₄×D₄₇	C₂²	1	8	yes	complemented
51	C₂×#41×C₄₇	C₂²	1	2	yes	complemented
52	C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
53	#127×C₄₇	C₂²	1	1	yes	characteristic, complemented
54	#124×C₄₇	C₂²	1	2	yes	complemented
55	#121×C₄₇	C₂²	1	2	yes	complemented
56	#121×C₄₇	C₂²	1	2	yes	complemented
57	C₄×D₄×C₄₇	C₂²	1	2	yes	complemented
58	C₄×D₄×C₄₇	C₂²	1	2	yes	complemented
59	C₂×C₄²×C₄₇	C₂²	1	1	yes	characteristic, complemented
60	C₂³×D₄₇	C₂³	1	8	yes	—
61	C₂³×D₄₇	C₂³	1	2	yes	—
62	#41×C₄₇	—	2	8	no	—
63	C₂×Q₈×C₄₇	C₂³	1	2	yes	—
64	C₂×D₄×C₄₇	C₂³	1	2	yes	—
65	C₂×D₄×C₄₇	C₂³	1	4	yes	—
66	C₂×D₄×C₄₇	C₂³	1	2	yes	—
67	C₂×D₄×C₄₇	C₂³	1	2	yes	—
68	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
69	C₂²×C₄×C₄₇	C₂³	1	4	yes	—
70	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
71	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
72	C₂×C₂²⋊D₄₇	C₂³	1	8	yes	—
73	C₂×C₂²⋊D₄₇	C₂³	1	4	yes	—
74	C₂×C₂²⋊D₄₇	C₂³	1	8	yes	—
75	C₂²×Dic₄₇	C₂³	1	2	yes	—
76	#10625354	—	2	16	no	—
77	D₄×D₄₇	—	2	32	no	—
78	D₄×D₄₇	—	2	16	no	—
79	D₄×D₄₇	—	4	8	no	—
80	#10625350	—	2	8	no	—
81	#10625350	—	2	16	no	—
82	C₂×D₁₈₈	—	2	16	no	—
83	C₂×D₁₈₈	D₄	1	8	yes	complemented
84	C₂×D₁₈₈	C₂³	1	2	yes	—
85	C₂×D₁₈₈	C₂³	1	8	yes	—
86	C₂×D₁₈₈	C₂³	1	2	yes	—
87	C₂×D₁₈₈	C₂³	1	2	yes	—
88	C₂×D₁₈₈	C₂³	1	2	yes	—
89	C₂×D₁₈₈	C₂³	1	2	yes	—
90	C₂×C₄×D₄₇	—	4	4	no	—
91	C₂×C₄×D₄₇	C₂³	1	8	yes	—
92	C₂×C₄×D₄₇	C₂³	1	4	yes	—
93	C₂×C₄×D₄₇	C₂³	1	4	yes	—
94	C₂×C₄×D₄₇	C₂³	1	4	yes	—
95	C₂×Dic₉₄	C₂³	1	2	yes	—
96	C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
97	C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
98	C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
99	C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
100	C₄²×C₄₇	C₂³	1	1	yes	characteristic
101	C₄²×C₄₇	C₂³	1	1	yes	characteristic
102	C₄²×C₄₇	C₂³	1	1	yes	characteristic
103	C₄²×C₄₇	C₂³	1	1	yes	characteristic
104	C₂²⋊Dic₄₇	C₂³	1	8	yes	—
105	(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
106	(C₂×D₄₇)⋊C₄	C₂³	1	8	yes	—
107	(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
108	(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
109	(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
110	C₄⋊Dic₄₇	C₂³	1	2	yes	—
111	C₄⋊Dic₄₇	C₂³	1	2	yes	—
112	C₄⋊Dic₄₇	C₂³	1	2	yes	—
113	C₄⋊Dic₄₇	C₂³	1	2	yes	—
114	Dic₄₇⋊C₄	C₂³	1	8	yes	—
115	C₂³×C₄₇	C₂⁴	1	4	yes	—
116	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
117	C₂²×D₄₇	—	2	16	no	—
118	C₂²×D₄₇	—	4	2	no	—
119	C₂²×D₄₇	—	4	2	no	—
120	C₂²×D₄₇	—	4	8	no	—
121	C₂²×D₄₇	—	4	8	no	—
122	C₂²×D₄₇	C₂×D₄	1	8	yes	complemented
123	C₂²×D₄₇	C₂⁴	1	4	yes	—
124	C₂²×D₄₇	C₂⁴	1	4	yes	—
125	Q₈×C₄₇	—	2	4	no	—
126	D₄×C₄₇	—	2	8	no	—
127	D₄×C₄₇	—	2	4	no	—
128	D₄×C₄₇	—	2	4	no	—
129	D₄×C₄₇	—	4	2	no	—
130	C₂×C₄×C₄₇	—	2	8	no	—
131	C₂×C₄×C₄₇	—	2	2	no	—
132	C₂×C₄×C₄₇	—	4	1	no	—
133	C₂×C₄×C₄₇	C₂×D₄	1	4	yes	complemented
134	C₂×C₄×C₄₇	C₂⁴	1	4	yes	—
135	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
136	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
137	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
138	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
139	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
140	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
141	C₂²⋊D₄₇	—	2	8	no	—
142	C₂²⋊D₄₇	—	2	16	no	—
143	C₂²⋊D₄₇	—	4	8	no	—
144	C₂×Dic₄₇	—	4	2	no	—
145	C₂×Dic₄₇	C₂⁴	1	4	yes	—
146	C₂×Dic₄₇	C₂⁴	1	4	yes	—
147	D₁₈₈	—	2	16	no	—
148	D₁₈₈	—	2	4	no	—
149	D₁₈₈	—	2	4	no	—
150	D₁₈₈	—	4	2	no	—
151	D₁₈₈	C₂×D₄	1	8	yes	complemented
152	D₁₈₈	C₂×D₄	1	8	yes	complemented
153	C₄×D₄₇	—	2	16	no	—
154	C₄×D₄₇	—	2	8	no	—
155	C₄×D₄₇	—	2	8	no	—
156	C₄×D₄₇	—	4	4	no	—
157	Dic₉₄	—	2	4	no	—
158	C₂²×C₄₇	—	2	1	no	—
159	C₂²×C₄₇	—	2	1	no	—
160	C₂²×C₄₇	—	2	4	no	—
161	C₂²×C₄₇	—	2	4	no	—
162	C₂²×C₄₇	—	2	4	no	—
163	C₂²×C₄₇	C₂²×D₄	1	2	yes	—
164	C₂²×C₄₇	C₂⁵	1	1	yes	characteristic
165	C₂×D₄₇	—	2	4	no	—
166	C₂×D₄₇	—	2	4	no	—
167	C₂×D₄₇	—	2	4	no	—
168	C₂×D₄₇	—	2	4	no	—
169	C₂×D₄₇	—	2	4	no	—
170	C₂×D₄₇	—	4	8	no	—
171	C₂×D₄₇	—	8	16	no	—
172	C₂×D₄₇	C₂²×D₄	1	8	yes	—
173	C₄×C₄₇	—	2	4	no	—
174	C₄×C₄₇	—	2	1	no	—
175	C₄×C₄₇	—	2	1	no	—
176	C₄×C₄₇	—	2	1	no	—
177	C₄×C₄₇	C₂²×D₄	1	2	yes	—
178	C₄×C₄₇	C₂²×D₄	1	2	yes	—
179	C₄×C₄₇	H(5,𝔽₂)	1	2	yes	complemented
180	Dic₄₇	—	2	4	no	—
181	Dic₄₇	—	2	4	no	—
182	#3496	—	47	1	no	maximal, Sylow
183	C₂×C₄₇	—	2	2	no	—
184	C₂×C₄₇	—	4	4	no	—
185	C₂×C₄₇	C₂³×D₄	1	1	yes	characteristic
186	C₂×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
187	C₂×C₄₇	#585	1	1	yes	characteristic
188	D₄₇	—	2	8	no	—
189	D₄₇	—	4	4	no	—
190	C₂×H(5,𝔽₂)	—	47	2	no	—
191	#547	—	47	2	no	—
192	#547	—	47	2	no	—
193	#546	—	47	4	no	—
194	#546	—	47	4	no	—
195	D₄²	—	47	2	no	—
196	D₄²	—	47	2	no	—
197	#537	—	47	2	no	—
198	#534	—	47	4	no	—
199	#532	—	47	1	no	—
200	#532	D₄₇	1	1	yes	characteristic, complemented
201	C₂×#121	—	47	4	no	—
202	C₂×C₄×D₄	—	47	1	no	—
203	C₄₇	#3496	1	1	yes	characteristic, complemented, Sylow
204	H(5,𝔽₂)	—	94	16	no	—
205	C₂×#41	—	47	4	no	—
206	C₂×#41	—	47	2	no	—
207	C₂×#41	—	47	4	no	—
208	C₂×#41	C₂×D₄₇	1	2	yes	complemented
209	C₂²×D₄	—	47	8	no	—
210	C₂²×D₄	—	47	4	no	—
211	C₂²×D₄	—	47	4	no	—
212	C₂²×D₄	—	47	1	no	—
213	C₂²×D₄	—	47	4	no	—
214	C₂³×C₄	—	47	2	no	—
215	C₄⋊Q₈	—	47	1	no	—
216	C₄⋊Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
217	#127	—	47	1	no	—
218	#127	C₂×D₄₇	1	1	yes	characteristic, complemented
219	#124	—	47	2	no	—
220	#124	C₂×D₄₇	1	2	yes	complemented
221	#123	—	47	8	no	—
222	#123	—	47	8	no	—
223	C₂²⋊Q₈	—	47	4	no	—
224	C₂²⋊Q₈	—	47	4	no	—
225	#121	—	47	8	no	—
226	#121	—	47	4	no	—
227	#121	—	47	4	no	—
228	#121	—	47	2	no	—
229	#121	—	47	2	no	—
230	#121	—	47	4	no	—
231	#121	—	47	4	no	—
232	#121	—	47	8	no	—
233	#121	C₂×D₄₇	1	2	yes	complemented
234	#121	C₂×D₄₇	1	2	yes	complemented
235	#120	—	47	8	no	—
236	#120	—	47	8	no	—
237	C₄×D₄	—	47	2	no	—
238	C₄×D₄	—	47	2	no	—
239	C₄×D₄	—	47	2	no	—
240	C₄×D₄	—	47	2	no	—
241	C₄×D₄	—	47	2	no	—
242	C₄×D₄	—	47	2	no	—
243	C₄×D₄	C₂×D₄₇	1	2	yes	complemented
244	C₄×D₄	C₂×D₄₇	1	2	yes	complemented
245	C₂×C₄⋊C₄	—	47	1	no	—
246	C₂×C₄⋊C₄	—	47	4	no	—
247	C₂×C₂²⋊C₄	—	47	2	no	—
248	C₂×C₂²⋊C₄	—	47	8	no	—
249	C₂×C₄²	C₂×D₄₇	1	1	yes	characteristic, complemented
250	C₂⁴	—	47	2	no	—
251	C₂⁴	—	47	8	no	—
252	#41	—	2	8	no	—
253	#41	—	94	16	no	—
254	#41	—	94	16	no	—
255	#41	—	94	8	no	—
256	C₂×Q₈	—	47	2	no	—
257	C₂×Q₈	C₂²×D₄₇	1	2	yes	—
258	C₂×D₄	—	47	8	no	—
259	C₂×D₄	—	47	4	no	—
260	C₂×D₄	—	47	8	no	—
261	C₂×D₄	—	47	8	no	—
262	C₂×D₄	—	47	2	no	—
263	C₂×D₄	—	47	2	no	—
264	C₂×D₄	—	47	2	no	—
265	C₂×D₄	—	47	8	no	—
266	C₂×D₄	—	47	2	no	—
267	C₂×D₄	—	47	2	no	—
268	C₂×D₄	—	94	16	no	—
269	C₂×D₄	—	94	16	no	—
270	C₂×D₄	—	94	32	no	—
271	C₂×D₄	—	188	8	no	—
272	C₂×D₄	C₂²×D₄₇	1	2	yes	—
273	C₂×D₄	C₂²×D₄₇	1	4	yes	—
274	C₂×D₄	C₂²×D₄₇	1	2	yes	—
275	C₂×D₄	C₂²×D₄₇	1	2	yes	—
276	C₂²×C₄	—	47	2	no	—
277	C₂²×C₄	—	47	8	no	—
278	C₂²×C₄	—	47	4	no	—
279	C₂²×C₄	—	47	4	no	—
280	C₂²×C₄	—	47	4	no	—
281	C₂²×C₄	—	188	4	no	—
282	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
283	C₂²×C₄	C₂²×D₄₇	1	4	yes	—
284	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
285	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
286	C₄⋊C₄	—	47	8	no	—
287	C₄⋊C₄	—	47	2	no	—
288	C₄⋊C₄	—	47	2	no	—
289	C₄⋊C₄	—	47	2	no	—
290	C₄⋊C₄	—	47	2	no	—
291	C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
292	C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
293	C₂²⋊C₄	—	47	8	no	—
294	C₂²⋊C₄	—	47	4	no	—
295	C₂²⋊C₄	—	47	4	no	—
296	C₂²⋊C₄	—	47	4	no	—
297	C₂²⋊C₄	—	47	8	no	—
298	C₂²⋊C₄	—	47	4	no	—
299	C₂²⋊C₄	C₂²×D₄₇	1	4	yes	—
300	C₂²⋊C₄	C₂²×D₄₇	1	4	yes	—
301	C₄²	C₂²×D₄₇	1	1	yes	characteristic
302	C₄²	C₂²×D₄₇	1	1	yes	characteristic
303	C₄²	C₂²×D₄₇	1	1	yes	characteristic
304	C₄²	C₂²×D₄₇	1	1	yes	characteristic
305	C₂³	—	47	4	no	—
306	C₂³	—	47	8	no	—
307	C₂³	—	47	4	no	—
308	C₂³	—	94	16	no	—
309	C₂³	—	188	8	no	—
310	C₂³	—	188	8	no	—
311	C₂³	—	188	2	no	—
312	C₂³	—	188	2	no	—
313	C₂³	C₂³×D₄₇	1	4	yes	—
314	C₂³	C₂³×D₄₇	1	1	yes	characteristic
315	Q₈	—	2	4	no	—
316	Q₈	—	94	4	no	—
317	D₄	—	2	8	no	—
318	D₄	—	2	4	no	—
319	D₄	—	2	4	no	—
320	D₄	—	4	2	no	—
321	D₄	—	47	8	no	—
322	D₄	—	47	8	no	—
323	D₄	—	94	16	no	—
324	D₄	—	94	16	no	—
325	D₄	—	94	8	no	—
326	D₄	—	94	4	no	—
327	D₄	—	94	4	no	—
328	D₄	—	188	2	no	—
329	D₄	—	188	8	no	—
330	C₂×C₄	—	2	8	no	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	47	4	no	—
334	C₂×C₄	—	47	4	no	—
335	C₂×C₄	—	94	16	no	—
336	C₂×C₄	—	94	8	no	—
337	C₂×C₄	—	94	8	no	—
338	C₂×C₄	—	188	4	no	—
339	C₂×C₄	—	188	2	no	—
340	C₂×C₄	D₄×D₄₇	1	4	yes	complemented
341	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
342	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
343	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
344	C₂×C₄	C₂³×D₄₇	1	4	yes	—
345	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
346	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
347	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
348	C₂²	—	2	1	no	—
349	C₂²	—	2	1	no	—
350	C₂²	—	2	4	no	—
351	C₂²	—	2	4	no	—
352	C₂²	—	2	4	no	—
353	C₂²	—	47	8	no	—
354	C₂²	—	94	4	no	—
355	C₂²	—	94	4	no	—
356	C₂²	—	94	4	no	—
357	C₂²	—	94	4	no	—
358	C₂²	—	94	4	no	—
359	C₂²	—	376	16	no	—
360	C₂²	—	188	8	no	—
361	C₂²	C₂×D₄×D₄₇	1	2	yes	—
362	C₂²	C₂⁴×D₄₇	1	1	yes	characteristic
363	C₄	—	2	4	no	—
364	C₄	—	2	1	no	—
365	C₄	—	2	1	no	—
366	C₄	—	2	1	no	—
367	C₄	—	94	4	no	—
368	C₄	—	94	4	no	—
369	C₄	C₂×D₄×D₄₇	1	2	yes	—
370	C₄	C₂×D₄×D₄₇	1	2	yes	—
371	C₄	#13094070	1	2	yes	complemented
372	C₂	—	2	2	no	—
373	C₂	—	4	4	no	—
374	C₂	—	94	8	no	—
375	C₂	—	188	4	no	—
376	C₂	C₂²×D₄×D₄₇	1	1	yes	characteristic
377	C₂	C₂×#13094070	1	1	yes	characteristic
378	C₂	#15689959	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁵
Fitting	C₄₇×#532	C₂
hypercenter	#532	D₄₇
hypocenter	C₄₇	#3496
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×#13094070	C₂	semidirect
2. #15689778	C₂	semidirect
3. #15689776	C₂	semidirect
4. #15689769	C₂	semidirect
5. #15689766	C₂	semidirect
6. D₄×D₁₈₈	C₂	semidirect
7. #15689758	C₂	semidirect
8. #15689701	C₂	semidirect
9. #15689681	C₂	semidirect
10. #15689673	C₂	semidirect
11. #121×D₄₇	C₂	semidirect
12. C₂×C₄×D₁₈₈	C₂	semidirect
13. C₄₇×#532	C₂	semidirect
15. C₂×#10625354	C₂²	semidirect
16. C₂×#10625350	C₂²	semidirect
17. C₂×#10625350	C₂²	semidirect
19. C₂²×D₁₈₈	C₂²	semidirect
20. C₂×D₄×D₄₇	C₂²	semidirect
21. C₂×D₄×D₄₇	C₂²	semidirect
22. C₂×D₄×D₄₇	C₂²	semidirect
23. C₂²×C₄×D₄₇	C₂²	semidirect
24. #13094024	C₂²	semidirect
25. #13094021	C₂²	semidirect
26. #13094012	C₂²	semidirect
27. #13094009	C₂²	semidirect
28. #13094006	C₂²	semidirect
29. #13094003	C₂²	semidirect
30. #13094000	C₂²	semidirect
31. #13093999	C₂²	semidirect
32. #13093998	C₂²	semidirect
33. #13093998	C₂²	semidirect
34. #13093998	C₂²	semidirect
35. #13093997	C₂²	semidirect
36. #13093996	C₂²	semidirect
37. #13093995	C₂²	semidirect
38. #13093995	C₂²	semidirect
39. #13093994	C₂²	semidirect
40. #13093992	C₂²	semidirect
41. C₄×D₁₈₈	C₂²	semidirect
42. C₄×D₁₈₈	C₂²	semidirect
43. C₄×D₁₈₈	C₂²	semidirect
44. C₄×D₁₈₈	C₂²	semidirect
45. C₄×D₁₈₈	C₂²	semidirect
46. C₄×D₁₈₈	C₂²	semidirect
47. C₂×C₄⋊Dic₄₇	C₂²	semidirect
48. C₄⋊C₄×D₄₇	C₂²	semidirect
49. C₂×(C₂×D₄₇)⋊C₄	C₂²	semidirect
50. C₂²⋊C₄×D₄₇	C₂²	semidirect
51. C₂×#41×C₄₇	C₂²	semidirect
52. C₄⋊Q₈×C₄₇	C₂²	semidirect
53. #127×C₄₇	C₂²	semidirect
54. #124×C₄₇	C₂²	semidirect
55. #121×C₄₇	C₂²	semidirect
56. #121×C₄₇	C₂²	semidirect
57. C₄×D₄×C₄₇	C₂²	semidirect
58. C₄×D₄×C₄₇	C₂²	semidirect
59. C₂×C₄²×C₄₇	C₂²	semidirect
83. C₂×D₁₈₈	D₄	semidirect
122. C₂²×D₄₇	C₂×D₄	semidirect
133. C₂×C₄×C₄₇	C₂×D₄	semidirect
151. D₁₈₈	C₂×D₄	semidirect
152. D₁₈₈	C₂×D₄	semidirect
179. C₄×C₄₇	H(5,𝔽₂)	semidirect
200. #532	D₄₇	semidirect
203. C₄₇	#3496	semidirect
208. C₂×#41	C₂×D₄₇	semidirect
216. C₄⋊Q₈	C₂×D₄₇	semidirect
218. #127	C₂×D₄₇	semidirect
220. #124	C₂×D₄₇	semidirect
233. #121	C₂×D₄₇	semidirect
234. #121	C₂×D₄₇	semidirect
243. C₄×D₄	C₂×D₄₇	semidirect
244. C₄×D₄	C₂×D₄₇	semidirect
249. C₂×C₄²	C₂×D₄₇	semidirect
340. C₂×C₄	D₄×D₄₇	semidirect
371. C₄	#13094070	semidirect