Subgroups — C₂×#11746878 #14413787

Order 1920.

976 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄²×C₅×D₃	C₂	1	1	yes	maximal, characteristic
2	C₂×#91087	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×#3935	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×Dic₃⋊#168	C₂	1	2	yes	maximal, complemented
5	C₂×(C₂×D₃)⋊#168	C₂	1	2	yes	maximal
6	#11746878	C₂	1	8	yes	maximal, direct product factor
7	C₂×#65215	—	3	1	no	maximal, Hall
8	C₂²×C₄×C₅×D₃	C₄	1	1	yes	characteristic
9	C₂²×C₄×C₅×D₃	C₄	1	1	yes	characteristic
10	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
11	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
12	C₂²×C₃⋊#168	C₂²	1	2	yes	—
13	C₂×C₄×C₅×Dic₃	C₄	1	1	yes	characteristic
14	C₂×C₄×C₅×Dic₃	C₄	1	1	yes	characteristic
15	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic
16	C₄²×C₅×D₃	C₄	1	4	yes	—
17	C₄²×C₅×D₃	C₂²	1	4	yes	—
18	C₂²×C₃×#168	C₂²	1	2	yes	—
19	#91087	C₂²	1	4	yes	complemented
20	C₃×#3935	C₂²	1	4	yes	complemented
21	Dic₃⋊#168	C₂²	1	8	yes	complemented
22	(C₂×D₃)⋊#168	C₂²	1	8	yes	—
23	C₂×#4705	—	5	1	no	maximal, Hall
24	C₂²×C₄²×C₅	—	3	1	no	—
25	C₂×C₂²⋊#168	—	3	2	no	—
26	#65215	—	3	8	no	—
27	C₂×C₄⋊#168	—	3	2	no	—
28	C₂×#3935	—	3	1	no	—
29	C₂×#3935	D₃	1	1	yes	characteristic, complemented
30	C₂³×C₅×D₃	C₂×C₄	1	1	yes	characteristic
31	C₂²×C₃×C₄×C₅	C₂×C₄	1	1	yes	characteristic
32	C₂²×C₃×C₄×C₅	C₂×C₄	1	1	yes	characteristic
33	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
34	C₂²×C₅×Dic₃	C₂×C₄	1	1	yes	characteristic
35	C₂²×C₅×Dic₃	C₂×C₄	1	1	yes	characteristic
36	C₂²×C₅×Dic₃	C₂×C₄	1	1	yes	characteristic
37	C₂×C₄×C₅×D₃	—	2	4	no	—
38	C₂×C₄×C₅×D₃	—	2	4	no	—
39	C₂×C₄×C₅×D₃	—	2	4	no	—
40	C₂×C₄×C₅×D₃	C₂×C₄	1	2	yes	—
41	C₂×C₄×C₅×D₃	C₂×C₄	1	4	yes	—
42	C₂×C₄×C₅×D₃	C₂×C₄	1	4	yes	—
43	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
44	C₃×C₄²×C₅	C₂×C₄	1	2	yes	—
45	C₃×C₄²×C₅	C₂³	1	2	yes	—
46	C₂×C₃⋊#168	—	2	4	no	—
47	C₂×C₃⋊#168	C₂³	1	4	yes	—
48	C₄×C₅×Dic₃	C₂×C₄	1	2	yes	—
49	C₄×C₅×Dic₃	C₂×C₄	1	4	yes	—
50	C₄×C₅×Dic₃	C₂×C₄	1	4	yes	—
51	C₄×C₅×Dic₃	C₂³	1	2	yes	—
52	C₂×C₃×#168	—	2	4	no	—
53	C₂×C₃×#168	C₂³	1	4	yes	—
54	C₂×C₄²×D₃	D₅	1	1	yes	characteristic
55	C₂×C₃×#97	—	5	1	no	—
56	C₂×(C₂×D₃)⋊C₈	—	5	2	no	—
57	C₂×Dic₃⋊C₈	—	5	2	no	—
58	C₂×#803	—	5	1	no	—
59	#4705	—	5	8	no	—
60	C₂³×C₄×C₅	—	3	1	no	—
61	C₂³×C₄×C₅	—	3	1	no	—
62	C₂³×C₄×C₅	—	3	1	no	—
63	C₂×C₄²×C₅	—	3	1	no	—
64	C₂×C₄²×C₅	—	3	1	no	—
65	C₂×C₄²×C₅	—	3	1	no	—
66	C₂×C₄²×C₅	—	3	4	no	—
67	C₂×C₄²×C₅	—	3	4	no	—
68	C₂×C₄²×C₅	C₂×D₃	1	1	yes	characteristic
69	C₂²×#168	—	3	2	no	—
70	C₂²×#168	C₂×D₃	1	2	yes	—
71	C₂²⋊#168	—	3	8	no	—
72	C₄⋊#168	—	3	8	no	—
73	#3935	—	3	4	no	—
74	#3935	C₂×D₃	1	4	yes	complemented
75	C₂×#432	—	15	1	no	Sylow
76	C₂³×C₃×C₅	C₂²×C₄	1	1	yes	characteristic
77	C₂²×C₅×D₃	—	2	2	no	—
78	C₂²×C₅×D₃	—	2	2	no	—
79	C₂²×C₅×D₃	M₁₆	1	4	yes	—
80	C₂²×C₅×D₃	C₂²×C₄	1	2	yes	—
81	C₂×C₃×C₄×C₅	—	2	2	no	—
82	C₂×C₃×C₄×C₅	—	2	2	no	—
83	C₂×C₃×C₄×C₅	C₂²×C₄	1	2	yes	—
84	C₂×C₃×C₄×C₅	C₂²×C₄	1	2	yes	—
85	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
86	C₂×C₃×C₄×C₅	#41	1	4	yes	—
87	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
88	C₂×C₅×Dic₃	—	2	2	no	—
89	C₂×C₅×Dic₃	—	2	2	no	—
90	C₂×C₅×Dic₃	M₁₆	1	4	yes	—
91	C₂×C₅×Dic₃	C₂²×C₄	1	2	yes	—
92	C₂×C₅×Dic₃	C₂²×C₄	1	2	yes	—
93	C₂×C₅×Dic₃	C₂²×C₄	1	2	yes	—
94	C₄×C₅×D₃	—	2	8	no	—
95	C₄×C₅×D₃	—	2	4	no	—
96	C₄×C₅×D₃	—	2	4	no	—
97	C₄×C₅×D₃	—	2	8	no	—
98	C₃⋊#168	—	2	4	no	—
99	C₃×#168	—	2	4	no	—
100	C₂²×C₄×D₃	Dic₅	1	1	yes	characteristic
101	C₂²×C₄×D₃	Dic₅	1	1	yes	characteristic
102	C₂²×C₄×D₃	C₂×D₅	1	1	yes	characteristic
103	C₂²×C₃×C₈	—	5	2	no	—
104	C₂×C₃×C₄²	C₂×D₅	1	1	yes	characteristic
105	C₂×C₄×Dic₃	Dic₅	1	1	yes	characteristic
106	C₂×C₄×Dic₃	Dic₅	1	1	yes	characteristic
107	C₂×C₄×Dic₃	C₂×D₅	1	1	yes	characteristic
108	C₂²×C₃⋊C₈	—	5	2	no	—
109	C₄²×D₃	Dic₅	1	4	yes	—
110	C₄²×D₃	C₂×D₅	1	4	yes	—
111	C₃×#97	—	5	4	no	—
112	(C₂×D₃)⋊C₈	—	5	8	no	—
113	Dic₃⋊C₈	—	5	8	no	—
114	#803	—	5	4	no	—
115	C₂⁴×C₅	—	3	1	no	—
116	C₂²×C₄×C₅	—	3	1	no	—
117	C₂²×C₄×C₅	—	3	1	no	—
118	C₂²×C₄×C₅	—	3	1	no	—
119	C₂²×C₄×C₅	—	3	4	no	—
120	C₂²×C₄×C₅	—	3	4	no	—
121	C₂²×C₄×C₅	—	3	2	no	—
122	C₂²×C₄×C₅	—	3	2	no	—
123	C₂²×C₄×C₅	—	6	4	no	—
124	C₂²×C₄×C₅	—	6	4	no	—
125	C₂²×C₄×C₅	—	6	4	no	—
126	C₂²×C₄×C₅	C₄×D₃	1	1	yes	characteristic
127	C₂²×C₄×C₅	C₄×D₃	1	1	yes	characteristic
128	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
129	C₄²×C₅	—	3	4	no	—
130	C₄²×C₅	—	3	2	no	—
131	C₄²×C₅	—	3	4	no	—
132	C₄²×C₅	—	3	2	no	—
133	C₄²×C₅	C₄×D₃	1	2	yes	—
134	C₄²×C₅	C₂²×D₃	1	2	yes	—
135	C₂×#168	—	2	4	no	—
136	C₂×#168	—	3	4	no	—
137	C₂×#168	—	6	4	no	—
138	C₂×#168	C₂²×D₃	1	4	yes	—
139	C₂²×C₄²	—	3	1	no	—
140	#432	—	15	8	no	—
141	C₂×C₄⋊C₈	—	15	2	no	—
142	C₂×C₂²⋊C₈	—	15	2	no	—
143	C₂×#97	—	5	1	no	—
144	C₂×#97	—	15	1	no	—
145	C₂²×C₃×C₅	#117	1	2	yes	—
146	C₂²×C₃×C₅	C₂×M₁₆	1	2	yes	—
147	C₂²×C₃×C₅	C₂×M₁₆	1	2	yes	—
148	C₂²×C₃×C₅	C₂³×C₄	1	1	yes	characteristic
149	C₂×C₅×D₃	—	2	2	no	—
150	C₂×C₅×D₃	—	2	2	no	—
151	C₂×C₅×D₃	—	2	8	no	—
152	C₂×C₅×D₃	C₂×M₁₆	1	4	yes	—
153	C₃×C₄×C₅	—	2	2	no	—
154	C₃×C₄×C₅	—	2	2	no	—
155	C₃×C₄×C₅	#117	1	2	yes	—
156	C₃×C₄×C₅	C₂×#41	1	2	yes	—
157	C₅×Dic₃	—	2	2	no	—
158	C₅×Dic₃	—	2	2	no	—
159	C₅×Dic₃	C₂×M₁₆	1	4	yes	—
160	C₂³×D₃	C₂×Dic₅	1	1	yes	characteristic
161	C₂²×C₃×C₄	C₂×Dic₅	1	1	yes	characteristic
162	C₂²×C₃×C₄	C₂×Dic₅	1	1	yes	characteristic
163	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
164	C₂²×Dic₃	C₂×Dic₅	1	1	yes	characteristic
165	C₂²×Dic₃	C₂×Dic₅	1	1	yes	characteristic
166	C₂²×Dic₃	C₂×Dic₅	1	1	yes	characteristic
167	C₂×C₄×D₃	—	2	4	no	—
168	C₂×C₄×D₃	—	2	4	no	—
169	C₂×C₄×D₃	—	2	4	no	—
170	C₂×C₄×D₃	C₂×Dic₅	1	2	yes	—
171	C₂×C₄×D₃	C₂×Dic₅	1	4	yes	—
172	C₂×C₄×D₃	C₂×Dic₅	1	4	yes	—
173	C₂×C₄×D₃	C₂²×D₅	1	2	yes	—
174	C₂×C₃×C₈	—	5	4	no	—
175	C₂×C₃×C₈	—	10	4	no	—
176	C₃×C₄²	C₂×Dic₅	1	2	yes	—
177	C₃×C₄²	C₂²×D₅	1	2	yes	—
178	C₄×Dic₃	C₂×Dic₅	1	2	yes	—
179	C₄×Dic₃	C₂×Dic₅	1	4	yes	—
180	C₄×Dic₃	C₂×Dic₅	1	4	yes	—
181	C₄×Dic₃	C₂²×D₅	1	2	yes	—
182	C₂×C₃⋊C₈	—	5	4	no	—
183	C₂×C₃⋊C₈	—	10	4	no	—
184	C₂³×C₅	—	3	4	no	—
185	C₂³×C₅	—	3	2	no	—
186	C₂³×C₅	—	6	2	no	—
187	C₂³×C₅	—	6	2	no	—
188	C₂³×C₅	C₂×C₄×D₃	1	1	yes	characteristic
189	C₂×C₄×C₅	—	2	2	no	—
190	C₂×C₄×C₅	—	2	2	no	—
191	C₂×C₄×C₅	—	3	4	no	—
192	C₂×C₄×C₅	—	3	2	no	—
193	C₂×C₄×C₅	—	3	2	no	—
194	C₂×C₄×C₅	—	3	2	no	—
195	C₂×C₄×C₅	—	6	8	no	—
196	C₂×C₄×C₅	—	6	8	no	—
197	C₂×C₄×C₅	—	6	2	no	—
198	C₂×C₄×C₅	—	6	2	no	—
199	C₂×C₄×C₅	—	6	4	no	—
200	C₂×C₄×C₅	—	6	4	no	—
201	C₂×C₄×C₅	C₂×C₄×D₃	1	2	yes	—
202	C₂×C₄×C₅	C₂×C₄×D₃	1	2	yes	—
203	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
204	C₂×C₄×C₅	#235	1	4	yes	—
205	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
206	#168	—	2	4	no	—
207	#168	—	6	4	no	—
208	C₂³×C₄	—	3	1	no	—
209	C₂³×C₄	—	3	1	no	—
210	C₂³×C₄	—	3	1	no	—
211	C₂²×C₈	—	5	2	no	—
212	C₂²×C₈	—	15	2	no	—
213	C₂×C₄²	—	3	1	no	—
214	C₂×C₄²	—	3	1	no	—
215	C₂×C₄²	—	3	1	no	—
216	C₂×C₄²	—	3	4	no	—
217	C₂×C₄²	—	3	4	no	—
218	C₂×C₄²	D₃×D₅	1	1	yes	characteristic
219	C₄⋊C₈	—	15	8	no	—
220	C₂²⋊C₈	—	15	8	no	—
221	#97	—	5	4	no	—
222	#97	—	15	4	no	—
223	C₂×C₃×C₅	#432	1	4	yes	complemented
224	C₂×C₃×C₅	C₂×#117	1	1	yes	characteristic
225	C₂×C₃×C₅	C₂²×M₁₆	1	1	yes	characteristic
226	C₂×C₃×C₅	C₂²×M₁₆	1	1	yes	characteristic
227	C₅×D₃	—	2	4	no	—
228	C₂³×C₃	C₂²×Dic₅	1	1	yes	characteristic
229	C₂²×D₃	—	2	2	no	—
230	C₂²×D₃	—	2	2	no	—
231	C₂²×D₃	#681	1	4	yes	—
232	C₂²×D₃	C₂²×Dic₅	1	2	yes	—
233	C₂×C₃×C₄	—	2	2	no	—
234	C₂×C₃×C₄	—	2	2	no	—
235	C₂×C₃×C₄	#709	1	4	yes	—
236	C₂×C₃×C₄	C₂²×Dic₅	1	2	yes	—
237	C₂×C₃×C₄	C₂²×Dic₅	1	2	yes	—
238	C₂×C₃×C₄	C₂²×Dic₅	1	1	yes	characteristic
239	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
240	C₂×Dic₃	—	2	2	no	—
241	C₂×Dic₃	—	2	2	no	—
242	C₂×Dic₃	#681	1	4	yes	—
243	C₂×Dic₃	C₂²×Dic₅	1	2	yes	—
244	C₂×Dic₃	C₂²×Dic₅	1	2	yes	—
245	C₂×Dic₃	C₂²×Dic₅	1	2	yes	—
246	C₄×D₃	—	2	8	no	—
247	C₄×D₃	—	2	4	no	—
248	C₄×D₃	—	2	4	no	—
249	C₄×D₃	—	2	8	no	—
250	C₃×C₈	—	10	4	no	—
251	C₃⋊C₈	—	10	4	no	—
252	C₂²×C₅	—	3	4	no	—
253	C₂²×C₅	—	6	2	no	—
254	C₂²×C₅	—	6	8	no	—
255	C₂²×C₅	—	6	2	no	—
256	C₂²×C₅	#872	1	2	yes	—
257	C₂²×C₅	D₃×M₁₆	1	2	yes	—
258	C₂²×C₅	D₃×M₁₆	1	2	yes	—
259	C₂²×C₅	C₂²×C₄×D₃	1	1	yes	characteristic
260	C₄×C₅	—	2	2	no	—
261	C₄×C₅	—	2	2	no	—
262	C₄×C₅	—	3	4	no	—
263	C₄×C₅	—	6	2	no	—
264	C₄×C₅	—	6	2	no	—
265	C₄×C₅	#872	1	2	yes	—
266	C₄×C₅	C₂×#235	1	2	yes	—
267	C₂⁴	—	3	1	no	—
268	C₂²×C₄	—	3	1	no	—
269	C₂²×C₄	—	3	1	no	—
270	C₂²×C₄	—	3	1	no	—
271	C₂²×C₄	—	3	4	no	—
272	C₂²×C₄	—	3	4	no	—
273	C₂²×C₄	—	3	2	no	—
274	C₂²×C₄	—	3	2	no	—
275	C₂²×C₄	—	6	4	no	—
276	C₂²×C₄	—	6	4	no	—
277	C₂²×C₄	—	6	4	no	—
278	C₂²×C₄	D₃×Dic₅	1	1	yes	characteristic
279	C₂²×C₄	D₃×Dic₅	1	1	yes	characteristic
280	C₂²×C₄	C₂×D₃×D₅	1	1	yes	characteristic
281	C₂×C₈	—	5	4	no	—
282	C₂×C₈	—	10	4	no	—
283	C₂×C₈	—	15	4	no	—
284	C₂×C₈	—	30	4	no	—
285	C₄²	—	3	4	no	—
286	C₄²	—	3	2	no	—
287	C₄²	—	3	4	no	—
288	C₄²	—	3	2	no	—
289	C₄²	D₃×Dic₅	1	2	yes	—
290	C₄²	C₂×D₃×D₅	1	2	yes	—
291	C₃×C₅	C₂×#432	1	1	yes	characteristic, complemented, Hall
292	C₂²×C₃	C₂×#681	1	2	yes	—
293	C₂²×C₃	C₂×#681	1	2	yes	—
294	C₂²×C₃	#4072	1	2	yes	—
295	C₂²×C₃	C₂³×Dic₅	1	1	yes	characteristic
296	C₂×D₃	—	2	2	no	—
297	C₂×D₃	—	2	2	no	—
298	C₂×D₃	—	2	8	no	—
299	C₂×D₃	C₂×#681	1	4	yes	—
300	C₃×C₄	—	2	2	no	—
301	C₃×C₄	—	2	2	no	—
302	C₃×C₄	#4072	1	2	yes	—
303	C₃×C₄	C₂×#709	1	2	yes	—
304	Dic₃	—	2	2	no	—
305	Dic₃	—	2	2	no	—
306	Dic₃	C₂×#681	1	4	yes	—
307	C₂×C₅	—	6	4	no	—
308	C₂×C₅	#4705	1	4	yes	complemented
309	C₂×C₅	C₂×#872	1	1	yes	characteristic
310	C₂×C₅	C₂×D₃×M₁₆	1	1	yes	characteristic
311	C₂×C₅	C₂×D₃×M₁₆	1	1	yes	characteristic
312	C₂³	—	3	2	no	—
313	C₂³	—	3	4	no	—
314	C₂³	—	6	2	no	—
315	C₂³	—	6	2	no	—
316	C₂³	C₂×D₃×Dic₅	1	1	yes	characteristic
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	3	2	no	—
320	C₂×C₄	—	3	4	no	—
321	C₂×C₄	—	3	2	no	—
322	C₂×C₄	—	3	2	no	—
323	C₂×C₄	—	6	8	no	—
324	C₂×C₄	—	6	8	no	—
325	C₂×C₄	—	6	2	no	—
326	C₂×C₄	—	6	2	no	—
327	C₂×C₄	—	6	4	no	—
328	C₂×C₄	—	6	4	no	—
329	C₂×C₄	#6771	1	4	yes	—
330	C₂×C₄	C₂×D₃×Dic₅	1	2	yes	—
331	C₂×C₄	C₂×D₃×Dic₅	1	2	yes	—
332	C₂×C₄	C₂×D₃×Dic₅	1	1	yes	characteristic
333	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
334	C₈	—	10	4	no	—
335	C₈	—	30	4	no	—
336	C₂×C₃	#65215	1	4	yes	complemented
337	C₂×C₃	C₂²×#681	1	1	yes	characteristic
338	C₂×C₃	C₂²×#681	1	1	yes	characteristic
339	C₂×C₃	C₂×#4072	1	1	yes	characteristic
340	D₃	—	2	4	no	—
341	C₅	C₂×#4705	1	1	yes	characteristic, complemented, Sylow
342	C₂²	—	3	4	no	—
343	C₂²	—	6	2	no	—
344	C₂²	—	6	8	no	—
345	C₂²	—	6	2	no	—
346	C₂²	D₃×#681	1	2	yes	—
347	C₂²	D₃×#681	1	2	yes	—
348	C₂²	#91371	1	2	yes	—
349	C₂²	C₂²×D₃×Dic₅	1	1	yes	characteristic
350	C₄	—	2	2	no	—
351	C₄	—	2	2	no	—
352	C₄	—	3	4	no	—
353	C₄	—	6	2	no	—
354	C₄	—	6	2	no	—
355	C₄	#91371	1	2	yes	—
356	C₄	C₂×#6771	1	2	yes	—
357	C₃	C₂×#65215	1	1	yes	characteristic, complemented, Sylow
358	C₂	—	6	4	no	—
359	C₂	#11746878	1	4	yes	direct product factor
360	C₂	C₂×D₃×#681	1	1	yes	characteristic
361	C₂	C₂×D₃×#681	1	1	yes	characteristic
362	C₂	C₂×#91371	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂×D₃×D₅
commutator	C₂²×C₃×C₅	C₂³×C₄
Frattini	C₂×C₄	C₂²×D₃×D₅
Fitting	C₂×C₃×C₄²×C₅	C₂²
socle	C₂³×C₃×C₅	C₂²×C₄
prime radical	C₂³×C₅×D₃	C₂×C₄
cosocle	C₂×C₃×C₄×C₅	C₂⁴
hypercenter	C₂×C₄²	D₃×D₅
hypocenter	C₃×C₅	C₂×#432
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄²

Complements

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

N	H ≅ G/N	type
2. C₂×#91087	C₂	semidirect
3. C₂×C₃×#3935	C₂	semidirect
4. C₂×Dic₃⋊#168	C₂	semidirect
6. #11746878	C₂	direct (N × H)
19. #91087	C₂²	semidirect
20. C₃×#3935	C₂²	semidirect
21. Dic₃⋊#168	C₂²	semidirect
29. C₂×#3935	D₃	semidirect
74. #3935	C₂×D₃	semidirect
223. C₂×C₃×C₅	#432	semidirect
291. C₃×C₅	C₂×#432	semidirect
308. C₂×C₅	#4705	semidirect
336. C₂×C₃	#65215	semidirect
341. C₅	C₂×#4705	semidirect
357. C₃	C₂×#65215	semidirect
359. C₂	#11746878	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×C₄²×C₅×D₃	2
C₂×#91087	2
C₂×C₃×#3935	2
C₂×Dic₃⋊#168	2
C₂×(C₂×D₃)⋊#168	2
#11746878	2
C₂×#65215	3
C₂×#4705	5

Subgroups — C2×#11746878 #14413787

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#11746878 #14413787