Subgroups — C₂×#20255782 #27094741

Order 12032.

1942 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	C₂×#15689833	C₂	1	2	yes	maximal
2	#20255782	C₂	1	16	yes	maximal, direct product factor
3	C₂×#15689528	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#15689457	C₂	1	4	yes	maximal, complemented
5	C₂×#15689418	C₂	1	2	yes	maximal, complemented
6	C₂×#15689361	C₂	1	2	yes	maximal, complemented
7	C₂×C₈×D₁₈₈	C₂	1	1	yes	maximal, characteristic
8	C₂×#107×D₄₇	C₂	1	2	yes	maximal, complemented
9	C₂×C₄×Q₁₆×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×C₈×D₄₇	C₂²	1	2	yes	—
11	#15689833	—	2	8	no	—
12	#15689833	C₂²	1	16	yes	—
13	C₂×#13094024	C₂²	1	2	yes	—
14	C₂×#13094016	—	2	2	no	—
15	C₂×#13094002	—	2	4	no	—
16	C₂×#13094000	C₂²	1	4	yes	—
17	C₂×C₄×D₁₈₈	—	2	2	no	—
18	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
19	C₂×C₄⋊C₄×D₄₇	C₂²	1	4	yes	—
20	#15689528	C₂²	1	8	yes	complemented
21	#15689457	C₂²	1	32	yes	complemented
22	#15689418	C₂²	1	16	yes	complemented
23	#15689361	C₂²	1	16	yes	complemented
24	C₈×D₁₈₈	C₂²	1	8	yes	—
25	C₂×#13093958	C₂²	1	2	yes	—
26	C₂×#13093958	C₂²	1	2	yes	—
27	C₂×#13093957	C₂²	1	4	yes	—
28	#107×D₄₇	C₂²	1	16	yes	complemented
29	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
30	C₂×#13093948	C₂²	1	4	yes	—
31	C₂×(C₂×D₄₇)⋊C₈	C₂²	1	2	yes	—
32	C₂²×Q₁₆×C₄₇	C₂²	1	1	yes	characteristic
33	C₂×C₄×Q₈×C₄₇	C₂²	1	2	yes	—
34	C₄×Q₁₆×C₄₇	C₂²	1	8	yes	complemented
35	C₂×#107×C₄₇	C₂²	1	1	yes	characteristic
36	C₂×#103×C₄₇	C₂²	1	2	yes	—
37	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
38	C₂²×Dic₉₄	—	2	2	no	—
39	C₂²×D₁₈₈	D₄	1	1	yes	characteristic
40	C₂²×C₄×D₄₇	—	2	4	no	—
41	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
42	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
43	C₂×C₈×D₄₇	—	2	8	no	—
44	C₂×C₈×D₄₇	C₂³	1	8	yes	—
45	#13094024	—	2	4	no	—
46	#13094024	C₂³	1	8	yes	—
47	#13094016	—	2	16	no	—
48	#13094002	—	2	32	no	—
49	#13094000	—	2	8	no	—
50	#13094000	C₂³	1	16	yes	—
51	C₄×D₁₈₈	—	2	16	no	—
52	C₄×D₁₈₈	D₄	1	4	yes	—
53	C₄×D₁₈₈	C₂³	1	4	yes	—
54	C₂×C₄⋊Dic₄₇	—	2	2	no	—
55	C₂×C₄⋊Dic₄₇	D₄	1	1	yes	characteristic
56	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
57	C₂×Dic₄₇⋊C₄	—	2	4	no	—
58	C₂×Dic₄₇⋊C₄	—	2	4	no	—
59	C₄⋊C₄×D₄₇	—	2	8	no	—
60	C₄⋊C₄×D₄₇	C₂³	1	16	yes	—
61	C₂×(C₂×D₄₇)⋊C₄	—	2	4	no	—
62	C₂×(C₂×D₄₇)⋊C₄	D₄	1	2	yes	—
63	#13093958	C₂³	1	8	yes	—
64	#13093958	C₂³	1	8	yes	—
65	#13093957	C₂³	1	16	yes	—
66	C₄⋊(C₄₇⋊C₈)	C₂³	1	4	yes	—
67	#13093948	C₂³	1	16	yes	—
68	(C₂×D₄₇)⋊C₈	C₂³	1	8	yes	—
69	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
70	C₂×Q₁₆×C₄₇	—	2	4	no	—
71	C₂×Q₁₆×C₄₇	C₂³	1	4	yes	—
72	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
73	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
74	C₄×Q₈×C₄₇	—	2	4	no	—
75	C₄×Q₈×C₄₇	C₂³	1	8	yes	—
76	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
77	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
78	C₂×C₄²×C₄₇	—	2	2	no	—
79	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
80	#107×C₄₇	C₂³	1	4	yes	—
81	#103×C₄₇	C₂³	1	8	yes	—
82	C₄×C₈×C₄₇	C₂³	1	4	yes	—
83	C₂³×D₄₇	C₂×D₄	1	2	yes	—
84	C₂×Q₈×C₄₇	—	2	2	no	—
85	C₂×Q₈×C₄₇	—	2	4	no	—
86	C₂×Q₈×C₄₇	—	2	4	no	—
87	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
88	C₂²×C₄×C₄₇	—	2	2	no	—
89	C₂²×C₄×C₄₇	—	2	2	no	—
90	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
91	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
93	C₂²×Dic₄₇	—	2	4	no	—
94	C₂²×Dic₄₇	C₂×D₄	1	2	yes	—
95	C₂×D₁₈₈	Q₁₆	1	8	yes	complemented
96	C₂×D₁₈₈	C₂×D₄	1	4	yes	—
97	C₂×C₄×D₄₇	—	2	4	no	—
98	C₂×C₄×D₄₇	—	2	4	no	—
99	C₂×C₄×D₄₇	—	2	16	no	—
100	C₂×C₄×D₄₇	—	8	8	no	—
101	C₂×C₄×D₄₇	C₂×D₄	1	4	yes	—
102	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
103	C₂×Dic₉₄	—	2	8	no	—
104	C₂×Dic₉₄	—	8	4	no	—
105	Q₁₆×C₄₇	—	2	8	no	—
106	C₂×C₈×C₄₇	—	2	2	no	—
107	C₂×C₈×C₄₇	#41	1	4	yes	—
108	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
109	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
110	C₄⋊C₄×C₄₇	—	2	8	no	—
111	C₄⋊C₄×C₄₇	—	2	2	no	—
112	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
113	C₄²×C₄₇	—	2	8	no	—
114	C₄²×C₄₇	C₂×D₄	1	2	yes	—
115	C₄²×C₄₇	C₂⁴	1	2	yes	—
116	(C₂×D₄₇)⋊C₄	—	2	16	no	—
117	(C₂×D₄₇)⋊C₄	C₂×D₄	1	8	yes	—
118	C₄⋊Dic₄₇	—	2	4	no	—
119	C₄⋊Dic₄₇	—	2	8	no	—
120	C₄⋊Dic₄₇	C₂×D₄	1	4	yes	—
121	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
122	Dic₄₇⋊C₄	—	2	16	no	—
123	Dic₄₇⋊C₄	—	2	16	no	—
124	C₂×C₄₇⋊C₈	—	2	4	no	—
125	C₂×C₄₇⋊C₈	C₂⁴	1	4	yes	—
126	C₈×D₄₇	—	2	16	no	—
127	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
128	C₂²×D₄₇	—	2	4	no	—
129	C₂²×D₄₇	—	2	4	no	—
130	C₂²×D₄₇	C₂×Q₁₆	1	8	yes	—
131	C₂²×D₄₇	C₂²×D₄	1	4	yes	—
132	Q₈×C₄₇	—	2	4	no	—
133	Q₈×C₄₇	—	2	4	no	—
134	Q₈×C₄₇	—	4	4	no	—
135	C₂×C₄×C₄₇	—	2	2	no	—
136	C₂×C₄×C₄₇	—	2	4	no	—
137	C₂×C₄×C₄₇	—	2	4	no	—
138	C₂×C₄×C₄₇	—	4	4	no	—
139	C₂×C₄×C₄₇	—	4	4	no	—
140	C₂×C₄×C₄₇	C₂×Q₁₆	1	4	yes	—
141	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
142	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
143	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
144	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
145	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
146	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
147	C₂×Dic₄₇	—	2	4	no	—
148	C₂×Dic₄₇	—	2	8	no	—
149	C₂×Dic₄₇	—	4	8	no	—
150	C₂×Dic₄₇	C₂²×D₄	1	4	yes	—
151	D₁₈₈	C₂×Q₁₆	1	16	yes	complemented
152	C₄×D₄₇	—	2	8	no	—
153	C₄×D₄₇	—	2	4	no	—
154	C₄×D₄₇	—	2	4	no	—
155	C₄×D₄₇	—	8	16	no	—
156	Dic₉₄	—	8	8	no	—
157	C₈×C₄₇	—	2	2	no	—
158	C₈×C₄₇	C₂×#41	1	4	yes	—
159	C₄₇⋊C₈	—	2	4	no	—
160	C₂×#3338	—	47	1	no	maximal, Sylow
161	C₂²×C₄₇	#547	1	2	yes	—
162	C₂²×C₄₇	C₂²×Q₁₆	1	2	yes	—
163	C₂²×C₄₇	#576	1	2	yes	—
164	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
165	C₂×D₄₇	—	2	16	no	—
166	C₂×D₄₇	—	2	4	no	—
167	C₂×D₄₇	—	2	4	no	—
168	C₂×D₄₇	C₂²×Q₁₆	1	8	yes	—
169	C₄×C₄₇	—	2	2	no	—
170	C₄×C₄₇	—	4	4	no	—
171	C₄×C₄₇	—	4	4	no	—
172	C₄×C₄₇	#547	1	2	yes	—
173	C₄×C₄₇	C₂²×Q₁₆	1	4	yes	—
174	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
175	C₄×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
176	Dic₄₇	—	2	4	no	—
177	Dic₄₇	—	4	8	no	—
178	C₂×#554	—	47	2	no	—
179	#3338	—	47	16	no	—
180	C₂×#500	—	47	1	no	—
181	C₂×#484	—	47	4	no	—
182	C₂×#477	—	47	2	no	—
183	C₂×#467	—	47	2	no	—
184	C₂×C₄×Q₁₆	D₄₇	1	1	yes	characteristic, complemented
185	C₂×C₈×D₄	—	47	1	no	—
186	C₂²×#107	—	47	2	no	—
187	C₂×C₄₇	#3338	1	4	yes	complemented
188	C₂×C₄₇	C₂×#547	1	1	yes	characteristic
189	C₂×C₄₇	C₂³×Q₁₆	1	1	yes	characteristic
190	C₂×C₄₇	C₂×#576	1	1	yes	characteristic
191	D₄₇	—	2	8	no	—
192	C₂²×Q₁₆	C₂×D₄₇	1	1	yes	characteristic
193	C₂³×C₈	—	47	2	no	—
194	#554	—	47	16	no	—
195	#554	—	94	8	no	—
196	C₂×C₄⋊Q₈	—	47	2	no	—
197	C₂×#125	—	94	2	no	—
198	C₂×C₂²⋊Q₈	—	47	4	no	—
199	C₂×C₂²⋊Q₈	—	94	4	no	—
200	C₂×C₄×Q₈	C₂×D₄₇	1	2	yes	—
201	C₂×C₄×D₄	—	47	1	no	—
202	C₂×C₄×D₄	—	94	2	no	—
203	C₂²×C₄⋊C₄	—	47	4	no	—
204	#500	—	47	8	no	—
205	#484	—	47	32	no	—
206	#477	—	47	16	no	—
207	#467	—	47	16	no	—
208	C₄×Q₁₆	C₂×D₄₇	1	8	yes	complemented
209	C₈×D₄	—	47	8	no	—
210	C₂×#107	—	47	2	no	—
211	C₂×#107	—	47	2	no	—
212	C₂×#107	—	47	4	no	—
213	C₂×#107	—	47	16	no	—
214	C₂×#107	C₂×D₄₇	1	1	yes	characteristic
215	C₂×C₄⋊C₈	—	47	1	no	—
216	C₂×#103	—	47	4	no	—
217	C₂×#103	C₂×D₄₇	1	2	yes	—
218	C₂×C₂²⋊C₈	—	47	2	no	—
219	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
220	C₄₇	C₂×#3338	1	1	yes	characteristic, complemented, Sylow
221	C₂²×Q₈	—	94	2	no	—
222	C₂²×Q₈	C₂²×D₄₇	1	2	yes	—
223	C₂²×D₄	—	47	1	no	—
224	C₂³×C₄	—	47	2	no	—
225	C₂³×C₄	—	94	4	no	—
226	C₂×Q₁₆	—	2	4	no	—
227	C₂×Q₁₆	C₂²×D₄₇	1	4	yes	—
228	C₂²×C₈	—	47	2	no	—
229	C₂²×C₈	—	47	8	no	—
230	C₂²×C₈	—	94	8	no	—
231	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
232	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
233	C₄⋊Q₈	—	47	8	no	—
234	C₄⋊Q₈	—	94	4	no	—
235	#125	—	94	16	no	—
236	C₂²⋊Q₈	—	47	16	no	—
237	C₂²⋊Q₈	—	94	32	no	—
238	C₂²⋊Q₈	—	94	8	no	—
239	C₄×Q₈	—	2	4	no	—
240	C₄×Q₈	C₂²×D₄₇	1	8	yes	—
241	C₄×D₄	—	47	4	no	—
242	C₄×D₄	—	47	4	no	—
243	C₄×D₄	—	94	16	no	—
244	C₂×C₄⋊C₄	—	2	2	no	—
245	C₂×C₄⋊C₄	—	47	1	no	—
246	C₂×C₄⋊C₄	—	47	4	no	—
247	C₂×C₄⋊C₄	—	47	16	no	—
248	C₂×C₄⋊C₄	—	94	8	no	—
249	C₂×C₄⋊C₄	—	94	4	no	—
250	C₂×C₄⋊C₄	—	94	4	no	—
251	C₂×C₄⋊C₄	—	94	2	no	—
252	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
253	C₂×C₂²⋊C₄	—	47	2	no	—
254	C₂×C₂²⋊C₄	—	94	4	no	—
255	C₂×C₄²	—	2	2	no	—
256	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
257	#107	—	47	8	no	—
258	#107	—	47	8	no	—
259	#107	—	47	16	no	—
260	#107	C₂²×D₄₇	1	4	yes	—
261	C₄⋊C₈	—	47	4	no	—
262	#103	—	47	16	no	—
263	#103	C₂²×D₄₇	1	8	yes	—
264	C₂²⋊C₈	—	47	8	no	—
265	C₄×C₈	C₂²×D₄₇	1	4	yes	—
266	C₂⁴	—	47	2	no	—
267	C₂×Q₈	—	2	2	no	—
268	C₂×Q₈	—	2	4	no	—
269	C₂×Q₈	—	2	4	no	—
270	C₂×Q₈	—	94	8	no	—
271	C₂×Q₈	—	376	4	no	—
272	C₂×Q₈	C₂³×D₄₇	1	4	yes	—
273	C₂×D₄	—	47	8	no	—
274	C₂×D₄	—	47	4	no	—
275	C₂²×C₄	—	2	2	no	—
276	C₂²×C₄	—	2	2	no	—
277	C₂²×C₄	—	47	2	no	—
278	C₂²×C₄	—	47	4	no	—
279	C₂²×C₄	—	47	4	no	—
280	C₂²×C₄	—	94	16	no	—
281	C₂²×C₄	—	94	4	no	—
282	C₂²×C₄	—	94	4	no	—
283	C₂²×C₄	—	94	4	no	—
284	C₂²×C₄	—	376	8	no	—
285	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
286	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
287	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
288	Q₁₆	—	2	8	no	—
289	C₂×C₈	—	2	2	no	—
290	C₂×C₈	—	47	4	no	—
291	C₂×C₈	—	94	4	no	—
292	C₂×C₈	—	94	16	no	—
293	C₂×C₈	#10625350	1	4	yes	—
294	C₂×C₈	C₂³×D₄₇	1	2	yes	—
295	C₂×C₈	C₂³×D₄₇	1	2	yes	—
296	C₄⋊C₄	—	2	8	no	—
297	C₄⋊C₄	—	2	2	no	—
298	C₄⋊C₄	—	47	4	no	—
299	C₄⋊C₄	—	47	8	no	—
300	C₄⋊C₄	—	94	16	no	—
301	C₄⋊C₄	—	94	16	no	—
302	C₄⋊C₄	—	94	4	no	—
303	C₄⋊C₄	—	94	8	no	—
304	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
305	C₂²⋊C₄	—	47	8	no	—
306	C₂²⋊C₄	—	94	16	no	—
307	C₄²	—	2	8	no	—
308	C₄²	D₄×D₄₇	1	2	yes	—
309	C₄²	C₂³×D₄₇	1	2	yes	—
310	C₂³	—	47	8	no	—
311	C₂³	—	47	4	no	—
312	C₂³	—	94	4	no	—
313	C₂³	—	94	4	no	—
314	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
315	Q₈	—	2	4	no	—
316	Q₈	—	2	4	no	—
317	Q₈	—	4	4	no	—
318	Q₈	—	376	8	no	—
319	D₄	—	47	16	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	4	no	—
322	C₂×C₄	—	2	4	no	—
323	C₂×C₄	—	4	4	no	—
324	C₂×C₄	—	4	4	no	—
325	C₂×C₄	—	47	4	no	—
326	C₂×C₄	—	94	4	no	—
327	C₂×C₄	—	94	8	no	—
328	C₂×C₄	—	94	4	no	—
329	C₂×C₄	—	94	4	no	—
330	C₂×C₄	—	94	8	no	—
331	C₂×C₄	—	376	16	no	—
332	C₂×C₄	—	188	8	no	—
333	C₂×C₄	Q₁₆×D₄₇	1	4	yes	—
334	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
335	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
336	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
337	C₂×C₄	C₂×#10625350	1	2	yes	—
338	C₂×C₄	#13094071	1	2	yes	—
339	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
340	C₈	—	2	2	no	—
341	C₈	—	94	4	no	—
342	C₈	C₂×#10625350	1	4	yes	—
343	C₂²	—	47	8	no	—
344	C₂²	—	94	16	no	—
345	C₂²	—	94	4	no	—
346	C₂²	—	94	4	no	—
347	C₂²	#15689778	1	2	yes	—
348	C₂²	C₂×Q₁₆×D₄₇	1	2	yes	—
349	C₂²	#15689925	1	2	yes	—
350	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
351	C₄	—	2	2	no	—
352	C₄	—	4	4	no	—
353	C₄	—	4	4	no	—
354	C₄	—	94	4	no	—
355	C₄	—	188	8	no	—
356	C₄	#15689778	1	2	yes	—
357	C₄	C₂×Q₁₆×D₄₇	1	4	yes	—
358	C₄	C₂²×#10625350	1	1	yes	characteristic
359	C₄	C₂×#13094071	1	1	yes	characteristic
360	C₂	—	94	8	no	—
361	C₂	#20255782	1	4	yes	direct product factor
362	C₂	C₂×#15689778	1	1	yes	characteristic
363	C₂	C₂²×Q₁₆×D₄₇	1	1	yes	characteristic
364	C₂	C₂×#15689925	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂×D₄×D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₂×C₄×Q₁₆×C₄₇	C₂
socle	C₂³×C₄₇	C₂²×D₄
prime radical	C₂²×D₁₈₈	D₄
hypercenter	C₂×C₄×Q₁₆	D₄₇
hypocenter	C₄₇	C₂×#3338
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×C₄×Q₁₆

Complements

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

N	H ≅ G/N	type
2. #20255782	C₂	direct (N × H)
3. C₂×#15689528	C₂	semidirect
4. C₂×#15689457	C₂	semidirect
5. C₂×#15689418	C₂	semidirect
6. C₂×#15689361	C₂	semidirect
8. C₂×#107×D₄₇	C₂	semidirect
9. C₂×C₄×Q₁₆×C₄₇	C₂	semidirect
20. #15689528	C₂²	semidirect
21. #15689457	C₂²	semidirect
22. #15689418	C₂²	semidirect
23. #15689361	C₂²	semidirect
28. #107×D₄₇	C₂²	semidirect
34. C₄×Q₁₆×C₄₇	C₂²	semidirect
95. C₂×D₁₈₈	Q₁₆	semidirect
151. D₁₈₈	C₂×Q₁₆	semidirect
184. C₂×C₄×Q₁₆	D₄₇	semidirect
187. C₂×C₄₇	#3338	semidirect
208. C₄×Q₁₆	C₂×D₄₇	semidirect
220. C₄₇	C₂×#3338	semidirect
361. C₂	#20255782	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×#15689833	2
#20255782	2
C₂×#15689528	2
C₂×#15689457	2
C₂×#15689418	2
C₂×#15689361	2
C₂×C₈×D₁₈₈	2
C₂×#107×D₄₇	2
C₂×C₄×Q₁₆×C₄₇	2
C₂×#3338	47

Subgroups — C2×#20255782 #27094741

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20255782 #27094741