Subgroups — C₂×#13067389 #14722832

Order 2816.

770 conjugacy classes of subgroups.

The subgroup lattice has 368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10622298	C₂	1	1	yes	maximal, characteristic
2	C₂×#10622450	C₂	1	1	yes	maximal, characteristic
3	C₂×D₁₁×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
4	#13067389	C₂	1	8	yes	maximal, direct product factor
5	C₂×#10622096	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#10622117	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#10622117	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₁×#335	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#4313	—	2	1	no	—
10	C₂²×C₈×D₁₁	—	2	1	no	—
11	C₂×C₄²×D₁₁	C₂²	1	1	yes	characteristic
12	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
13	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
14	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
15	C₂×(C₂×D₁₁)⋊C₈	C₄	1	1	yes	characteristic
16	C₂×(C₂×D₁₁)⋊C₈	C₄	1	1	yes	characteristic
17	C₂×Dic₁₁⋊C₈	—	2	1	no	—
18	C₂×Dic₁₁⋊C₈	—	2	1	no	—
19	C₂×Dic₁₁⋊C₈	C₄	1	1	yes	characteristic
20	C₂×Dic₁₁⋊C₈	C₄	1	1	yes	characteristic
21	C₂×C₄⋊(C₁₁⋊C₈)	C₂²	1	1	yes	characteristic
22	C₂×C₄⋊(C₁₁⋊C₈)	C₂²	1	1	yes	characteristic
23	C₂×C₄×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
24	#10622450	—	2	2	no	—
25	#10622450	C₂²	1	4	yes	—
26	D₁₁×C₄⋊C₈	—	2	2	no	—
27	D₁₁×C₄⋊C₈	C₂²	1	4	yes	—
28	#10622298	C₄	1	4	yes	—
29	#10622298	C₂²	1	4	yes	—
30	C₁₁×#335	C₂²	1	4	yes	complemented
31	#10622117	C₂²	1	4	yes	complemented
32	#10622117	C₂²	1	4	yes	complemented
33	#10622096	C₂²	1	4	yes	complemented
34	C₂²×C₄×D₁₁	C₂×C₄	1	1	yes	characteristic
35	C₂²×C₄×D₁₁	D₄	1	1	yes	characteristic
36	C₂²×C₄×D₁₁	Q₈	1	1	yes	characteristic
37	C₂²×C₈×C₁₁	—	2	1	no	—
38	C₂²×C₈×C₁₁	—	2	1	no	—
39	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
40	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
41	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
42	C₂×C₄×Dic₁₁	C₂×C₄	1	1	yes	characteristic
43	C₂×C₄×Dic₁₁	D₄	1	1	yes	characteristic
44	C₂×C₄×Dic₁₁	Q₈	1	1	yes	characteristic
45	C₂²×C₁₁⋊C₈	—	2	1	no	—
46	C₂²×C₁₁⋊C₈	—	2	1	no	—
47	C₂²×C₁₁⋊C₈	C₂×C₄	1	1	yes	characteristic
48	C₂²×C₁₁⋊C₈	C₂×C₄	1	1	yes	characteristic
49	C₂×#4313	—	2	4	no	—
50	C₂×#4313	—	4	4	no	—
51	C₂×C₈×D₁₁	—	2	4	no	—
52	C₂×C₈×D₁₁	—	4	4	no	—
53	C₄²×D₁₁	C₂×C₄	1	2	yes	—
54	C₄²×D₁₁	D₄	1	2	yes	—
55	C₄²×D₁₁	Q₈	1	2	yes	—
56	C₄²×D₁₁	C₂³	1	2	yes	—
57	C₁₁×C₄⋊C₈	—	2	1	no	—
58	C₁₁×C₄⋊C₈	—	2	1	no	—
59	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
60	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
61	C₄×C₈×C₁₁	C₂×C₄	1	2	yes	—
62	C₄×C₈×C₁₁	C₂³	1	2	yes	—
63	(C₂×D₁₁)⋊C₈	C₂×C₄	1	4	yes	—
64	(C₂×D₁₁)⋊C₈	C₂×C₄	1	4	yes	—
65	Dic₁₁⋊C₈	—	2	4	no	—
66	Dic₁₁⋊C₈	—	2	4	no	—
67	Dic₁₁⋊C₈	C₂×C₄	1	4	yes	—
68	Dic₁₁⋊C₈	C₂×C₄	1	4	yes	—
69	C₄⋊(C₁₁⋊C₈)	—	2	1	no	—
70	C₄⋊(C₁₁⋊C₈)	—	2	1	no	—
71	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
72	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
73	C₄×C₁₁⋊C₈	C₂×C₄	1	2	yes	—
74	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
75	C₂×#1571	—	11	1	no	maximal, Sylow
76	C₂³×D₁₁	C₄⋊C₄	1	1	yes	characteristic
77	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
78	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
79	C₂²×C₄×C₁₁	C₂×Q₈	1	1	yes	characteristic
80	C₂²×Dic₁₁	C₄⋊C₄	1	1	yes	characteristic
81	C₂²×Dic₁₁	C₄⋊C₄	1	1	yes	characteristic
82	C₂²×Dic₁₁	C₄⋊C₄	1	1	yes	characteristic
83	C₂×C₄×D₁₁	—	2	2	no	—
84	C₂×C₄×D₁₁	—	2	2	no	—
85	C₂×C₄×D₁₁	—	4	2	no	—
86	C₂×C₄×D₁₁	C₄⋊C₄	1	2	yes	—
87	C₂×C₄×D₁₁	C₄⋊C₄	1	2	yes	—
88	C₂×C₄×D₁₁	C₄⋊C₄	1	2	yes	—
89	C₂×C₄×D₁₁	D₈	1	4	yes	—
90	C₂×C₄×D₁₁	Q₁₆	1	4	yes	—
91	C₂×C₄×D₁₁	C₂²×C₄	1	2	yes	—
92	C₂×C₄×D₁₁	C₂×D₄	1	2	yes	—
93	C₂×C₄×D₁₁	C₂×Q₈	1	2	yes	—
94	C₂×C₈×C₁₁	—	2	2	no	—
95	C₂×C₈×C₁₁	—	2	2	no	—
96	C₂×C₈×C₁₁	—	2	2	no	—
97	C₂×C₈×C₁₁	—	2	2	no	—
98	C₂×C₈×C₁₁	—	4	2	no	—
99	C₂×C₈×C₁₁	—	4	2	no	—
100	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
101	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
102	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
103	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
104	C₄²×C₁₁	C₂×Q₈	1	1	yes	characteristic
105	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
106	C₄×Dic₁₁	C₄⋊C₄	1	2	yes	—
107	C₄×Dic₁₁	C₄⋊C₄	1	2	yes	—
108	C₄×Dic₁₁	C₄⋊C₄	1	2	yes	—
109	C₄×Dic₁₁	C₂²×C₄	1	2	yes	—
110	C₄×Dic₁₁	C₂×D₄	1	2	yes	—
111	C₄×Dic₁₁	C₂×Q₈	1	2	yes	—
112	C₂×C₁₁⋊C₈	—	2	2	no	—
113	C₂×C₁₁⋊C₈	—	2	2	no	—
114	C₂×C₁₁⋊C₈	—	2	2	no	—
115	C₂×C₁₁⋊C₈	—	2	2	no	—
116	C₂×C₁₁⋊C₈	—	4	2	no	—
117	C₂×C₁₁⋊C₈	—	4	2	no	—
118	C₂×C₁₁⋊C₈	C₂²×C₄	1	2	yes	—
119	C₂×C₁₁⋊C₈	C₂²×C₄	1	2	yes	—
120	#4313	—	4	8	no	—
121	C₈×D₁₁	—	4	8	no	—
122	C₂×#431	—	11	1	no	—
123	C₂×#423	—	11	1	no	—
124	C₂²×C₄⋊C₈	—	11	1	no	—
125	#1571	—	11	8	no	—
126	C₂×#335	—	11	1	no	—
127	C₂×#335	—	11	1	no	—
128	C₂×#335	—	11	1	no	—
129	C₂×#335	D₁₁	1	1	yes	characteristic, complemented
130	C₂³×C₁₁	C₂×C₄⋊C₄	1	1	yes	characteristic
131	C₂²×D₁₁	—	2	2	no	—
132	C₂²×D₁₁	—	2	2	no	—
133	C₂²×D₁₁	#107	1	4	yes	—
134	C₂²×D₁₁	C₂×C₄⋊C₄	1	2	yes	—
135	C₂×C₄×C₁₁	—	2	2	no	—
136	C₂×C₄×C₁₁	C₂×C₄⋊C₄	1	1	yes	characteristic
137	C₂×C₄×C₁₁	C₂×C₄⋊C₄	1	1	yes	characteristic
138	C₂×C₄×C₁₁	C₂×C₄⋊C₄	1	1	yes	characteristic
139	C₂×C₄×C₁₁	#131	1	2	yes	—
140	C₂×C₄×C₁₁	#131	1	2	yes	—
141	C₂×C₄×C₁₁	C₂×D₈	1	2	yes	—
142	C₂×C₄×C₁₁	C₂×Q₁₆	1	2	yes	—
143	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
144	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
145	C₂×C₄×C₁₁	C₂²×Q₈	1	1	yes	characteristic
146	C₂×Dic₁₁	—	2	2	no	—
147	C₂×Dic₁₁	—	2	2	no	—
148	C₂×Dic₁₁	#107	1	4	yes	—
149	C₂×Dic₁₁	C₂×C₄⋊C₄	1	2	yes	—
150	C₂×Dic₁₁	C₂×C₄⋊C₄	1	2	yes	—
151	C₂×Dic₁₁	C₂×C₄⋊C₄	1	2	yes	—
152	C₄×D₁₁	—	2	2	no	—
153	C₄×D₁₁	—	2	2	no	—
154	C₄×D₁₁	—	2	4	no	—
155	C₄×D₁₁	—	4	2	no	—
156	C₄×D₁₁	—	4	2	no	—
157	C₄×D₁₁	#107	1	8	yes	—
158	C₄×D₁₁	C₂×D₈	1	4	yes	—
159	C₄×D₁₁	C₂×Q₁₆	1	4	yes	—
160	C₈×C₁₁	—	2	2	no	—
161	C₈×C₁₁	—	2	2	no	—
162	C₈×C₁₁	—	4	2	no	—
163	C₈×C₁₁	—	4	2	no	—
164	C₁₁⋊C₈	—	2	2	no	—
165	C₁₁⋊C₈	—	2	2	no	—
166	C₁₁⋊C₈	—	4	2	no	—
167	C₁₁⋊C₈	—	4	2	no	—
168	C₂²×M₁₆	—	22	1	no	—
169	C₂³×C₈	—	22	1	no	—
170	C₂²×C₄²	—	11	1	no	—
171	#431	—	11	4	no	—
172	#431	—	11	4	no	—
173	#423	—	11	4	no	—
174	#423	—	22	2	no	—
175	C₂×C₄⋊C₈	—	11	1	no	—
176	C₂×C₄⋊C₈	—	11	1	no	—
177	C₂×C₄⋊C₈	—	11	1	no	—
178	C₂×C₄⋊C₈	—	11	1	no	—
179	C₂×C₄⋊C₈	—	11	4	no	—
180	C₂×C₄⋊C₈	—	22	2	no	—
181	C₂×C₄⋊C₈	—	22	1	no	—
182	C₂×C₄⋊C₈	—	22	1	no	—
183	C₂×C₄⋊C₈	C₂×D₁₁	1	1	yes	characteristic
184	C₂×C₄⋊C₈	C₂×D₁₁	1	1	yes	characteristic
185	C₂×C₂²⋊C₈	—	11	1	no	—
186	C₂×C₂²⋊C₈	—	11	1	no	—
187	C₂×C₄×C₈	—	11	1	no	—
188	C₂×C₄×C₈	C₂×D₁₁	1	1	yes	characteristic
189	#335	—	11	4	no	—
190	#335	—	11	4	no	—
191	#335	—	11	4	no	—
192	#335	C₂×D₁₁	1	4	yes	complemented
193	C₂²×C₁₁	#424	1	2	yes	—
194	C₂²×C₁₁	C₂×#107	1	2	yes	—
195	C₂²×C₁₁	#430	1	2	yes	—
196	C₂²×C₁₁	C₂²×C₄⋊C₄	1	1	yes	characteristic
197	C₂×D₁₁	—	2	8	no	—
198	C₂×D₁₁	—	2	2	no	—
199	C₂×D₁₁	—	2	2	no	—
200	C₂×D₁₁	C₂×#107	1	4	yes	—
201	C₄×C₁₁	—	2	1	no	—
202	C₄×C₁₁	—	2	1	no	—
203	C₄×C₁₁	#424	1	2	yes	—
204	C₄×C₁₁	C₂×#107	1	2	yes	—
205	C₄×C₁₁	C₂×#131	1	1	yes	characteristic
206	C₄×C₁₁	C₂×#131	1	1	yes	characteristic
207	C₄×C₁₁	C₂²×D₈	1	1	yes	characteristic
208	C₄×C₁₁	C₂²×Q₁₆	1	1	yes	characteristic
209	Dic₁₁	—	2	2	no	—
210	Dic₁₁	—	2	2	no	—
211	Dic₁₁	C₂×#107	1	4	yes	—
212	C₂³×C₄	—	11	1	no	—
213	C₂³×C₄	—	11	1	no	—
214	C₂³×C₄	—	11	1	no	—
215	C₂×M₁₆	—	22	4	no	—
216	C₂×M₁₆	—	44	4	no	—
217	C₂²×C₈	—	2	1	no	—
218	C₂²×C₈	—	2	1	no	—
219	C₂²×C₈	—	11	1	no	—
220	C₂²×C₈	—	11	1	no	—
221	C₂²×C₈	—	22	4	no	—
222	C₂²×C₈	—	22	1	no	—
223	C₂²×C₈	—	22	1	no	—
224	C₂²×C₈	—	44	4	no	—
225	C₂²×C₈	C₄×D₁₁	1	1	yes	characteristic
226	C₂²×C₈	C₄×D₁₁	1	1	yes	characteristic
227	C₂×C₄²	—	11	1	no	—
228	C₂×C₄²	—	11	1	no	—
229	C₂×C₄²	—	11	1	no	—
230	C₂×C₄²	—	11	2	no	—
231	C₂×C₄²	—	11	2	no	—
232	C₂×C₄²	—	11	2	no	—
233	C₂×C₄²	—	11	2	no	—
234	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
235	C₄⋊C₈	—	2	1	no	—
236	C₄⋊C₈	—	2	1	no	—
237	C₄⋊C₈	—	11	4	no	—
238	C₄⋊C₈	—	11	4	no	—
239	C₄⋊C₈	—	11	2	no	—
240	C₄⋊C₈	—	11	2	no	—
241	C₄⋊C₈	—	22	4	no	—
242	C₄⋊C₈	—	22	4	no	—
243	C₄⋊C₈	—	22	1	no	—
244	C₄⋊C₈	—	22	1	no	—
245	C₄⋊C₈	C₂²×D₁₁	1	2	yes	—
246	C₄⋊C₈	C₂²×D₁₁	1	2	yes	—
247	C₂²⋊C₈	—	11	4	no	—
248	C₂²⋊C₈	—	11	4	no	—
249	C₄×C₈	—	11	2	no	—
250	C₄×C₈	—	11	2	no	—
251	C₄×C₈	C₄×D₁₁	1	2	yes	—
252	C₄×C₈	C₂²×D₁₁	1	2	yes	—
253	C₂×C₁₁	#1571	1	4	yes	complemented
254	C₂×C₁₁	C₂×#424	1	1	yes	characteristic
255	C₂×C₁₁	C₂²×#107	1	1	yes	characteristic
256	C₂×C₁₁	C₂×#430	1	1	yes	characteristic
257	D₁₁	—	2	4	no	—
258	C₂⁴	—	11	1	no	—
259	C₂²×C₄	—	11	1	no	—
260	C₂²×C₄	—	11	2	no	—
261	C₂²×C₄	—	11	4	no	—
262	C₂²×C₄	—	11	4	no	—
263	C₂²×C₄	—	11	2	no	—
264	C₂²×C₄	—	11	1	no	—
265	C₂²×C₄	—	11	1	no	—
266	C₂²×C₄	—	11	2	no	—
267	C₂²×C₄	—	11	2	no	—
268	C₂²×C₄	—	11	2	no	—
269	C₂²×C₄	—	11	2	no	—
270	C₂²×C₄	—	22	2	no	—
271	C₂²×C₄	—	22	2	no	—
272	C₂²×C₄	—	44	2	no	—
273	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
274	C₂²×C₄	D₄×D₁₁	1	1	yes	characteristic
275	C₂²×C₄	Q₈×D₁₁	1	1	yes	characteristic
276	M₁₆	—	44	8	no	—
277	C₂×C₈	—	2	2	no	—
278	C₂×C₈	—	2	2	no	—
279	C₂×C₈	—	2	2	no	—
280	C₂×C₈	—	2	2	no	—
281	C₂×C₈	—	4	2	no	—
282	C₂×C₈	—	4	2	no	—
283	C₂×C₈	—	11	2	no	—
284	C₂×C₈	—	11	2	no	—
285	C₂×C₈	—	22	2	no	—
286	C₂×C₈	—	22	2	no	—
287	C₂×C₈	—	22	2	no	—
288	C₂×C₈	—	22	2	no	—
289	C₂×C₈	—	44	8	no	—
290	C₂×C₈	—	44	2	no	—
291	C₂×C₈	—	44	2	no	—
292	C₂×C₈	C₂×C₄×D₁₁	1	2	yes	—
293	C₂×C₈	C₂×C₄×D₁₁	1	2	yes	—
294	C₄²	—	11	2	no	—
295	C₄²	—	11	2	no	—
296	C₄²	—	11	2	no	—
297	C₄²	—	11	2	no	—
298	C₄²	—	11	2	no	—
299	C₄²	—	11	2	no	—
300	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
301	C₄²	D₄×D₁₁	1	1	yes	characteristic
302	C₄²	Q₈×D₁₁	1	1	yes	characteristic
303	C₄²	C₂³×D₁₁	1	1	yes	characteristic
304	C₁₁	C₂×#1571	1	1	yes	characteristic, complemented, Sylow
305	C₂³	—	11	4	no	—
306	C₂³	—	11	2	no	—
307	C₂³	—	22	2	no	—
308	C₂³	—	22	2	no	—
309	C₂³	C₄⋊C₄×D₁₁	1	1	yes	characteristic
310	C₂×C₄	—	2	2	no	—
311	C₂×C₄	—	11	4	no	—
312	C₂×C₄	—	11	2	no	—
313	C₂×C₄	—	11	8	no	—
314	C₂×C₄	—	11	4	no	—
315	C₂×C₄	—	11	4	no	—
316	C₂×C₄	—	11	2	no	—
317	C₂×C₄	—	11	2	no	—
318	C₂×C₄	—	22	2	no	—
319	C₂×C₄	—	22	2	no	—
320	C₂×C₄	—	22	2	no	—
321	C₂×C₄	—	22	2	no	—
322	C₂×C₄	—	22	4	no	—
323	C₂×C₄	—	44	2	no	—
324	C₂×C₄	—	44	2	no	—
325	C₂×C₄	C₄⋊C₄×D₁₁	1	1	yes	characteristic
326	C₂×C₄	C₄⋊C₄×D₁₁	1	1	yes	characteristic
327	C₂×C₄	C₄⋊C₄×D₁₁	1	1	yes	characteristic
328	C₂×C₄	#66954	1	2	yes	—
329	C₂×C₄	#66960	1	2	yes	—
330	C₂×C₄	D₈×D₁₁	1	2	yes	—
331	C₂×C₄	Q₁₆×D₁₁	1	2	yes	—
332	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
333	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
334	C₂×C₄	C₂×Q₈×D₁₁	1	1	yes	characteristic
335	C₈	—	2	2	no	—
336	C₈	—	2	2	no	—
337	C₈	—	4	2	no	—
338	C₈	—	4	2	no	—
339	C₈	—	22	2	no	—
340	C₈	—	22	2	no	—
341	C₈	—	44	2	no	—
342	C₈	—	44	2	no	—
343	C₂²	—	11	4	no	—
344	C₂²	—	22	8	no	—
345	C₂²	—	22	2	no	—
346	C₂²	—	22	2	no	—
347	C₂²	#10622452	1	2	yes	—
348	C₂²	D₁₁×#107	1	2	yes	—
349	C₂²	#10622506	1	2	yes	—
350	C₂²	C₂×C₄⋊C₄×D₁₁	1	1	yes	characteristic
351	C₄	—	2	1	no	—
352	C₄	—	2	1	no	—
353	C₄	—	11	4	no	—
354	C₄	—	22	2	no	—
355	C₄	—	22	2	no	—
356	C₄	#10622452	1	2	yes	—
357	C₄	D₁₁×#107	1	2	yes	—
358	C₄	C₂×#66954	1	1	yes	characteristic
359	C₄	C₂×#66960	1	1	yes	characteristic
360	C₄	C₂×D₈×D₁₁	1	1	yes	characteristic
361	C₄	C₂×Q₁₆×D₁₁	1	1	yes	characteristic
362	C₂	—	22	4	no	—
363	C₂	#13067389	1	4	yes	direct product factor
364	C₂	C₂×#10622452	1	1	yes	characteristic
365	C₂	C₂×D₁₁×#107	1	1	yes	characteristic
366	C₂	C₂×#10622506	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	D₄×D₁₁
commutator	C₂×C₄×C₁₁	C₂³×C₄
Frattini	C₄²	C₂³×D₁₁
Fitting	C₂×C₁₁×#335	C₂
socle	C₂³×C₁₁	C₂×C₄⋊C₄
prime radical	C₂³×D₁₁	C₄⋊C₄
cosocle	C₄²×C₁₁	C₂⁴
hypercenter	C₂×#335	D₁₁
hypocenter	C₁₁	C₂×#1571
LCS	G ▷ C₂×C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄² ◁ C₂×#335

Complements

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

N	H ≅ G/N	type
4. #13067389	C₂	direct (N × H)
5. C₂×#10622096	C₂	semidirect
6. C₂×#10622117	C₂	semidirect
7. C₂×#10622117	C₂	semidirect
8. C₂×C₁₁×#335	C₂	semidirect
30. C₁₁×#335	C₂²	semidirect
31. #10622117	C₂²	semidirect
32. #10622117	C₂²	semidirect
33. #10622096	C₂²	semidirect
129. C₂×#335	D₁₁	semidirect
192. #335	C₂×D₁₁	semidirect
253. C₂×C₁₁	#1571	semidirect
304. C₁₁	C₂×#1571	semidirect
363. C₂	#13067389	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×#10622298	2
C₂×#10622450	2
C₂×D₁₁×C₄⋊C₈	2
#13067389	2
C₂×#10622096	2
C₂×#10622117	2
C₂×C₁₁×#335	2
C₂×#1571	11

Subgroups — C2×#13067389 #14722832

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13067389 #14722832