Subgroups — C₂×#15689921 #20258133

Order 6016.

1484 conjugacy classes of subgroups.

The subgroup lattice has 366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#10625350	C₂	1	1	yes	maximal, characteristic, complemented
2	#15689921	C₂	1	16	yes	maximal, direct product factor
3	C₂×#13094055	C₂	1	2	yes	maximal, complemented
4	C₂×#13094054	C₂	1	2	yes	maximal, complemented
5	C₂×#13094050	C₂	1	2	yes	maximal, complemented
6	C₂×#13094049	C₂	1	2	yes	maximal, complemented
7	C₂×#13094044	C₂	1	4	yes	maximal, complemented
8	C₂²×#10625329	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#41×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#10625350	—	2	1	no	—
11	C₂×#10625350	—	2	4	no	—
12	C₂×#10625350	—	2	1	no	—
13	C₂×#10625350	C₂²	1	2	yes	—
14	C₂×#10625350	C₂²	1	2	yes	complemented
15	C₂×#10625350	C₂²	1	8	yes	complemented
16	C₂²×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
17	C₂²×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
18	C₂²×C₂²⋊D₄₇	—	2	1	no	—
19	C₂²×C₄×D₄₇	—	2	1	no	—
20	#13094055	C₂²	1	16	yes	complemented
21	#13094054	C₂²	1	16	yes	complemented
22	#13094050	C₂²	1	16	yes	complemented
23	#13094049	C₂²	1	16	yes	complemented
24	#13094044	C₂²	1	32	yes	complemented
25	C₂×#10625337	C₂²	1	4	yes	complemented
26	C₂×#10625335	C₂²	1	4	yes	complemented
27	C₂×#10625336	C₂²	1	4	yes	complemented
28	C₂×#10625334	C₂²	1	4	yes	complemented
29	C₂×#10625329	C₂²	1	2	yes	complemented
30	C₂×#10625329	C₂²	1	2	yes	complemented
31	C₂×#10625329	C₂²	1	8	yes	complemented
32	C₂²×C₄₇⋊C₈	C₂²	1	2	yes	complemented
33	C₂×#41×C₄₇	—	2	1	no	—
34	C₂×#41×C₄₇	—	2	1	no	—
35	C₂×#41×C₄₇	—	2	4	no	—
36	C₂×#41×C₄₇	C₂²	1	2	yes	—
37	C₂×#41×C₄₇	C₂²	1	2	yes	complemented
38	C₂×#41×C₄₇	C₂²	1	8	yes	complemented
39	C₂²×Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
40	C₂²×D₄×C₄₇	—	2	1	no	—
41	C₂²×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
42	C₂³×C₄×C₄₇	—	2	1	no	—
43	C₂³×C₄×C₄₇	C₂²	1	1	yes	characteristic
44	C₂⁴×C₄₇	—	2	1	no	—
45	C₂⁴×C₄₇	D₄	1	1	yes	characteristic
46	C₂³×D₄₇	—	2	1	no	—
47	#41×C₄₇	—	2	4	no	—
48	#41×C₄₇	—	2	8	no	—
49	#41×C₄₇	—	2	8	no	—
50	#41×C₄₇	—	2	4	no	—
51	#41×C₄₇	C₂³	1	8	yes	—
52	#41×C₄₇	C₂³	1	8	yes	complemented
53	C₂×Q₈×C₄₇	—	2	1	no	—
54	C₂×Q₈×C₄₇	—	2	2	no	—
55	C₂×Q₈×C₄₇	C₂³	1	2	yes	—
56	C₂×Q₈×C₄₇	C₂³	1	4	yes	complemented
57	C₂×D₄×C₄₇	—	2	2	no	—
58	C₂×D₄×C₄₇	—	2	2	no	—
59	C₂×D₄×C₄₇	—	2	8	no	—
60	C₂×D₄×C₄₇	—	2	1	no	—
61	C₂×D₄×C₄₇	—	2	2	no	—
62	C₂×D₄×C₄₇	C₂³	1	2	yes	—
63	C₂×D₄×C₄₇	C₂³	1	4	yes	complemented
64	C₂²×C₄×C₄₇	—	2	1	no	—
65	C₂²×C₄×C₄₇	—	2	2	no	—
66	C₂²×C₄×C₄₇	—	2	2	no	—
67	C₂²×C₄×C₄₇	—	2	8	no	—
68	C₂²×C₄×C₄₇	D₄	1	1	yes	characteristic
69	C₂²×C₄×C₄₇	D₄	1	1	yes	characteristic
70	C₂²×C₄×C₄₇	D₄	1	1	yes	characteristic
71	C₂²×C₄×C₄₇	D₄	1	4	yes	—
72	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
73	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
74	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
75	C₂²×C₄×C₄₇	C₂³	1	4	yes	—
76	C₂×C₂²⋊D₄₇	—	2	2	no	—
77	C₂×C₂²⋊D₄₇	—	2	2	no	—
78	C₂×C₂²⋊D₄₇	—	2	8	no	—
79	C₂²×Dic₄₇	—	2	1	no	—
80	#10625350	—	2	4	no	—
81	#10625350	—	2	4	no	—
82	#10625350	—	2	8	no	—
83	#10625350	—	2	8	no	—
84	#10625350	C₂³	1	8	yes	—
85	#10625350	C₂³	1	8	yes	complemented
86	C₂×D₁₈₈	—	2	2	no	—
87	C₂×D₁₈₈	—	2	1	no	—
88	C₂×D₁₈₈	C₂³	1	2	yes	—
89	C₂×D₁₈₈	C₂³	1	4	yes	complemented
90	C₂×C₄×D₄₇	—	2	2	no	—
91	C₂×C₄×D₄₇	—	2	8	no	—
92	C₂×C₄×D₄₇	—	2	2	no	—
93	C₂×Dic₉₄	—	2	2	no	—
94	C₂×Dic₉₄	—	2	1	no	—
95	C₂×Dic₉₄	C₂³	1	2	yes	—
96	C₂×Dic₉₄	C₂³	1	4	yes	complemented
97	#10625337	C₂³	1	16	yes	complemented
98	#10625336	C₂³	1	16	yes	complemented
99	#10625335	C₂³	1	16	yes	complemented
100	#10625334	C₂³	1	16	yes	complemented
101	#10625329	C₂³	1	8	yes	complemented
102	#10625329	C₂³	1	8	yes	complemented
103	C₂×C₄₇⋊C₈	C₂³	1	4	yes	—
104	C₂×C₄₇⋊C₈	C₂³	1	8	yes	complemented
105	C₂³×C₄₇	—	2	2	no	—
106	C₂³×C₄₇	—	2	4	no	—
107	C₂³×C₄₇	—	4	2	no	—
108	C₂³×C₄₇	—	4	4	no	—
109	C₂³×C₄₇	C₂×D₄	1	1	yes	characteristic
110	C₂³×C₄₇	C₂×D₄	1	1	yes	characteristic
111	C₂³×C₄₇	C₂×D₄	1	1	yes	characteristic
112	C₂³×C₄₇	C₂×D₄	1	4	yes	—
113	C₂²×D₄₇	—	2	2	no	—
114	C₂²×D₄₇	—	2	4	no	—
115	C₂²×D₄₇	—	4	4	no	—
116	Q₈×C₄₇	—	2	2	no	—
117	Q₈×C₄₇	—	2	4	no	—
118	Q₈×C₄₇	C₂⁴	1	4	yes	—
119	D₄×C₄₇	—	2	8	no	—
120	D₄×C₄₇	—	2	8	no	—
121	D₄×C₄₇	—	2	2	no	—
122	D₄×C₄₇	—	2	4	no	—
123	D₄×C₄₇	C₂⁴	1	4	yes	—
124	C₂×C₄×C₄₇	—	2	2	no	—
125	C₂×C₄×C₄₇	—	2	4	no	—
126	C₂×C₄×C₄₇	—	2	8	no	—
127	C₂×C₄×C₄₇	—	2	8	no	—
128	C₂×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
129	C₂×C₄×C₄₇	C₂×D₄	1	2	yes	—
130	C₂×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
131	C₂×C₄×C₄₇	C₂×D₄	1	4	yes	—
132	C₂×C₄×C₄₇	C₂×D₄	1	4	yes	—
133	C₂×C₄×C₄₇	C₂×D₄	1	2	yes	—
134	C₂×C₄×C₄₇	C₂×D₄	1	4	yes	—
135	C₂×C₄×C₄₇	C₂×D₄	1	2	yes	—
136	C₂×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
137	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
138	C₂×C₄×C₄₇	C₂⁴	1	2	yes	—
139	C₂×C₄×C₄₇	C₂⁴	1	2	yes	—
140	C₂×C₄×C₄₇	C₂⁴	1	2	yes	—
141	C₂²⋊D₄₇	—	2	8	no	—
142	C₂²⋊D₄₇	—	2	8	no	—
143	C₂×Dic₄₇	—	2	2	no	—
144	C₂×Dic₄₇	—	2	4	no	—
145	D₁₈₈	—	2	2	no	—
146	D₁₈₈	—	2	4	no	—
147	D₁₈₈	C₂⁴	1	4	yes	—
148	C₄×D₄₇	—	2	8	no	—
149	C₄×D₄₇	—	2	8	no	—
150	Dic₉₄	—	2	2	no	—
151	Dic₉₄	—	2	4	no	—
152	Dic₉₄	C₂⁴	1	4	yes	—
153	C₄₇⋊C₈	C₂⁴	1	8	yes	—
154	C₂²×C₄₇	—	2	2	no	—
155	C₂²×C₄₇	—	2	2	no	—
156	C₂²×C₄₇	—	2	2	no	—
157	C₂²×C₄₇	—	2	4	no	—
158	C₂²×C₄₇	—	4	4	no	—
159	C₂²×C₄₇	—	4	8	no	—
160	C₂²×C₄₇	—	4	4	no	—
161	C₂²×C₄₇	C₂²×D₄	1	2	yes	—
162	C₂²×C₄₇	C₂²×D₄	1	2	yes	—
163	C₂²×C₄₇	C₂²×D₄	1	2	yes	—
164	C₂²×C₄₇	C₂²×D₄	1	1	yes	characteristic
165	C₂×D₄₇	—	2	4	no	—
166	C₂×D₄₇	—	4	8	no	—
167	C₂×D₄₇	—	4	4	no	—
168	C₄×C₄₇	—	2	4	no	—
169	C₄×C₄₇	C₂²×D₄	1	2	yes	—
170	C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
171	C₄×C₄₇	C₂²×D₄	1	2	yes	—
172	C₄×C₄₇	C₂²×D₄	1	2	yes	—
173	C₄×C₄₇	C₂⁵	1	1	yes	characteristic
174	Dic₄₇	—	2	4	no	—
175	C₂×#575	—	47	1	no	maximal, Sylow
176	C₂×C₄₇	—	2	2	no	—
177	C₂×C₄₇	—	2	2	no	—
178	C₂×C₄₇	—	2	2	no	—
179	C₂×C₄₇	—	4	4	no	—
180	C₂×C₄₇	#575	1	2	yes	complemented
181	C₂×C₄₇	C₂³×D₄	1	1	yes	characteristic
182	D₄₇	—	4	4	no	—
183	C₂²×#41	—	47	1	no	—
184	C₂²×#41	D₄₇	1	1	yes	characteristic, complemented
185	#575	—	47	16	no	—
186	C₂×#137	—	47	2	no	—
187	C₂×#137	—	47	2	no	—
188	C₂×AGL(1,ℤ/8)	—	47	2	no	—
189	C₂×AGL(1,ℤ/8)	—	47	2	no	—
190	C₂×#135	—	47	4	no	—
191	C₂²×M₁₆	—	47	1	no	—
192	C₄₇	C₂×#575	1	1	yes	characteristic, complemented, Sylow
193	C₂×#41	—	2	1	no	—
194	C₂×#41	—	2	4	no	—
195	C₂×#41	—	2	1	no	—
196	C₂×#41	—	47	2	no	—
197	C₂×#41	—	47	2	no	—
198	C₂×#41	—	47	8	no	—
199	C₂×#41	—	94	1	no	—
200	C₂×#41	—	94	4	no	—
201	C₂×#41	—	94	1	no	—
202	C₂×#41	C₂×D₄₇	1	2	yes	—
203	C₂×#41	C₂×D₄₇	1	2	yes	complemented
204	C₂×#41	C₂×D₄₇	1	8	yes	complemented
205	C₂²×Q₈	—	47	1	no	—
206	C₂²×Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
207	C₂²×D₄	—	2	1	no	—
208	C₂²×D₄	—	47	1	no	—
209	C₂²×D₄	—	94	1	no	—
210	C₂²×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
211	C₂³×C₄	—	2	1	no	—
212	C₂³×C₄	—	94	1	no	—
213	C₂³×C₄	C₂×D₄₇	1	1	yes	characteristic
214	#137	—	47	16	no	—
215	#137	—	47	16	no	—
216	AGL(1,ℤ/8)	—	47	16	no	—
217	AGL(1,ℤ/8)	—	47	16	no	—
218	#135	—	47	32	no	—
219	C₂×Q₁₆	—	47	4	no	—
220	C₂×SD₁₆	—	47	4	no	—
221	C₂×SD₁₆	—	47	4	no	—
222	C₂×D₈	—	47	4	no	—
223	C₂×M₁₆	—	47	2	no	—
224	C₂×M₁₆	—	47	2	no	—
225	C₂×M₁₆	—	47	8	no	—
226	C₂²×C₈	—	47	2	no	—
227	C₂⁴	—	2	1	no	—
228	C₂⁴	—	94	1	no	—
229	C₂⁴	C₂²⋊D₄₇	1	1	yes	characteristic
230	#41	—	2	4	no	—
231	#41	—	2	8	no	—
232	#41	—	2	8	no	—
233	#41	—	2	4	no	—
234	#41	—	47	8	no	—
235	#41	—	47	8	no	—
236	#41	—	94	8	no	—
237	#41	—	94	4	no	—
238	#41	—	94	4	no	—
239	#41	—	94	8	no	—
240	#41	C₂²×D₄₇	1	8	yes	—
241	#41	C₂²×D₄₇	1	8	yes	complemented
242	C₂×Q₈	—	2	1	no	—
243	C₂×Q₈	—	2	2	no	—
244	C₂×Q₈	—	47	2	no	—
245	C₂×Q₈	—	47	4	no	—
246	C₂×Q₈	—	94	1	no	—
247	C₂×Q₈	—	94	2	no	—
248	C₂×Q₈	C₂²×D₄₇	1	2	yes	—
249	C₂×Q₈	C₂²×D₄₇	1	4	yes	complemented
250	C₂×D₄	—	2	2	no	—
251	C₂×D₄	—	2	2	no	—
252	C₂×D₄	—	2	8	no	—
253	C₂×D₄	—	2	1	no	—
254	C₂×D₄	—	2	2	no	—
255	C₂×D₄	—	47	2	no	—
256	C₂×D₄	—	47	4	no	—
257	C₂×D₄	—	94	2	no	—
258	C₂×D₄	—	94	2	no	—
259	C₂×D₄	—	94	8	no	—
260	C₂×D₄	—	94	1	no	—
261	C₂×D₄	—	94	2	no	—
262	C₂×D₄	C₂²×D₄₇	1	2	yes	—
263	C₂×D₄	C₂²×D₄₇	1	4	yes	complemented
264	C₂²×C₄	—	2	1	no	—
265	C₂²×C₄	—	2	2	no	—
266	C₂²×C₄	—	2	8	no	—
267	C₂²×C₄	—	2	2	no	—
268	C₂²×C₄	—	94	1	no	—
269	C₂²×C₄	—	94	2	no	—
270	C₂²×C₄	—	94	8	no	—
271	C₂²×C₄	—	94	2	no	—
272	C₂²×C₄	C₂²⋊D₄₇	1	1	yes	characteristic
273	C₂²×C₄	C₂²⋊D₄₇	1	4	yes	—
274	C₂²×C₄	C₂²⋊D₄₇	1	1	yes	characteristic
275	C₂²×C₄	C₂²⋊D₄₇	1	1	yes	characteristic
276	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
277	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
278	C₂²×C₄	C₂²×D₄₇	1	4	yes	—
279	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
280	Q₁₆	—	47	16	no	—
281	SD₁₆	—	47	16	no	—
282	SD₁₆	—	47	16	no	—
283	D₈	—	47	16	no	—
284	M₁₆	—	47	8	no	—
285	M₁₆	—	47	8	no	—
286	C₂×C₈	—	47	4	no	—
287	C₂×C₈	—	47	8	no	—
288	C₂³	—	2	2	no	—
289	C₂³	—	2	4	no	—
290	C₂³	—	4	2	no	—
291	C₂³	—	4	4	no	—
292	C₂³	—	94	4	no	—
293	C₂³	—	94	2	no	—
294	C₂³	—	188	4	no	—
295	C₂³	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
296	C₂³	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
297	C₂³	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
298	C₂³	C₂×C₂²⋊D₄₇	1	4	yes	—
299	Q₈	—	2	2	no	—
300	Q₈	—	2	4	no	—
301	Q₈	—	47	4	no	—
302	Q₈	—	94	4	no	—
303	Q₈	—	94	2	no	—
304	Q₈	C₂³×D₄₇	1	4	yes	—
305	D₄	—	2	8	no	—
306	D₄	—	2	8	no	—
307	D₄	—	2	2	no	—
308	D₄	—	2	4	no	—
309	D₄	—	47	4	no	—
310	D₄	—	94	8	no	—
311	D₄	—	94	8	no	—
312	D₄	—	94	4	no	—
313	D₄	—	94	2	no	—
314	D₄	C₂³×D₄₇	1	4	yes	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	4	no	—
317	C₂×C₄	—	2	8	no	—
318	C₂×C₄	—	2	8	no	—
319	C₂×C₄	—	94	4	no	—
320	C₂×C₄	—	94	2	no	—
321	C₂×C₄	—	94	8	no	—
322	C₂×C₄	—	94	8	no	—
323	C₂×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
324	C₂×C₄	C₂×C₂²⋊D₄₇	1	4	yes	—
325	C₂×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
326	C₂×C₄	C₂×C₂²⋊D₄₇	1	4	yes	—
327	C₂×C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
328	C₂×C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
329	C₂×C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
330	C₂×C₄	C₂×C₂²⋊D₄₇	1	4	yes	—
331	C₂×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
332	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
333	C₂×C₄	C₂³×D₄₇	1	2	yes	—
334	C₂×C₄	C₂³×D₄₇	1	2	yes	—
335	C₂×C₄	C₂³×D₄₇	1	2	yes	—
336	C₈	—	47	8	no	—
337	C₂²	—	2	2	no	—
338	C₂²	—	2	2	no	—
339	C₂²	—	2	2	no	—
340	C₂²	—	2	4	no	—
341	C₂²	—	4	4	no	—
342	C₂²	—	4	8	no	—
343	C₂²	—	4	4	no	—
344	C₂²	—	94	4	no	—
345	C₂²	—	188	8	no	—
346	C₂²	—	188	4	no	—
347	C₂²	C₂²×C₂²⋊D₄₇	1	2	yes	—
348	C₂²	C₂²×C₂²⋊D₄₇	1	2	yes	—
349	C₂²	C₂²×C₂²⋊D₄₇	1	2	yes	—
350	C₂²	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
351	C₄	—	2	4	no	—
352	C₄	—	94	4	no	—
353	C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
354	C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
355	C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
356	C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
357	C₄	C₂⁴×D₄₇	1	1	yes	characteristic
358	C₂	—	2	2	no	—
359	C₂	—	2	2	no	—
360	C₂	—	2	2	no	—
361	C₂	—	4	4	no	—
362	C₂	—	188	4	no	—
363	C₂	#15689921	1	2	yes	direct product factor
364	C₂	C₂³×C₂²⋊D₄₇	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×C₂²⋊D₄₇
commutator	C₄×C₄₇	C₂⁵
Frattini	C₄	C₂⁴×D₄₇
Fitting	C₂²×#41×C₄₇	C₂
socle	C₂²×C₄₇	C₂²×D₄
hypercenter	C₂²×#41	D₄₇
hypocenter	C₄₇	C₂×#575
LCS	G ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂³×C₄ ◁ C₂²×#41

Complements

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

N	H ≅ G/N	type
1. C₂²×#10625350	C₂	semidirect
2. #15689921	C₂	direct (N × H)
3. C₂×#13094055	C₂	semidirect
4. C₂×#13094054	C₂	semidirect
5. C₂×#13094050	C₂	semidirect
6. C₂×#13094049	C₂	semidirect
7. C₂×#13094044	C₂	semidirect
8. C₂²×#10625329	C₂	semidirect
9. C₂²×#41×C₄₇	C₂	semidirect
14. C₂×#10625350	C₂²	semidirect
15. C₂×#10625350	C₂²	semidirect
16. C₂²×Dic₉₄	C₂²	semidirect
17. C₂²×D₁₈₈	C₂²	semidirect
20. #13094055	C₂²	semidirect
21. #13094054	C₂²	semidirect
22. #13094050	C₂²	semidirect
23. #13094049	C₂²	semidirect
24. #13094044	C₂²	semidirect
25. C₂×#10625337	C₂²	semidirect
26. C₂×#10625335	C₂²	semidirect
27. C₂×#10625336	C₂²	semidirect
28. C₂×#10625334	C₂²	semidirect
29. C₂×#10625329	C₂²	semidirect
30. C₂×#10625329	C₂²	semidirect
31. C₂×#10625329	C₂²	semidirect
32. C₂²×C₄₇⋊C₈	C₂²	semidirect
37. C₂×#41×C₄₇	C₂²	semidirect
38. C₂×#41×C₄₇	C₂²	semidirect
39. C₂²×Q₈×C₄₇	C₂²	semidirect
41. C₂²×D₄×C₄₇	C₂²	semidirect
52. #41×C₄₇	C₂³	semidirect
56. C₂×Q₈×C₄₇	C₂³	semidirect
63. C₂×D₄×C₄₇	C₂³	semidirect
85. #10625350	C₂³	semidirect
89. C₂×D₁₈₈	C₂³	semidirect
96. C₂×Dic₉₄	C₂³	semidirect
97. #10625337	C₂³	semidirect
98. #10625336	C₂³	semidirect
99. #10625335	C₂³	semidirect
100. #10625334	C₂³	semidirect
101. #10625329	C₂³	semidirect
102. #10625329	C₂³	semidirect
104. C₂×C₄₇⋊C₈	C₂³	semidirect
180. C₂×C₄₇	#575	semidirect
184. C₂²×#41	D₄₇	semidirect
192. C₄₇	C₂×#575	semidirect
203. C₂×#41	C₂×D₄₇	semidirect
204. C₂×#41	C₂×D₄₇	semidirect
206. C₂²×Q₈	C₂×D₄₇	semidirect
210. C₂²×D₄	C₂×D₄₇	semidirect
241. #41	C₂²×D₄₇	semidirect
249. C₂×Q₈	C₂²×D₄₇	semidirect
263. C₂×D₄	C₂²×D₄₇	semidirect
363. C₂	#15689921	direct (N × H)

Subgroups — C2×#15689921 #20258133

Conjugacy classes of subgroups

Complements

Subgroups — C₂×#15689921 #20258133