Subgroups — C₂×C₁₁×#1962 #14598400

Order 2816.

1878 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#532	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₁×#423	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₁₁×#104	C₂	1	4	yes	maximal, complemented
4	C₂×C₄³×C₁₁	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#1962	C₂	1	8	yes	maximal, direct product factor
6	C₂²×C₁₁×#41	C₂²	1	2	yes	—
7	C₂²×C₁₁×M₁₆	C₂²	1	2	yes	—
8	C₁₁×#532	—	2	2	no	—
9	C₁₁×#532	—	2	2	no	—
10	C₁₁×#532	C₄	1	4	yes	complemented
11	C₁₁×#532	C₂²	1	4	yes	—
12	C₂×C₁₁×C₄⋊Q₈	C₄	1	1	yes	characteristic, complemented
13	C₂×C₁₁×#127	C₄	1	1	yes	characteristic, complemented
14	C₂×C₁₁×#124	C₄	1	2	yes	complemented
15	C₂×C₁₁×#121	—	2	2	no	—
16	C₂×C₄×D₄×C₁₁	—	2	2	no	—
17	C₂²×C₄²×C₁₁	—	2	2	no	—
18	C₂²×C₄²×C₁₁	C₂²	1	2	yes	—
19	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
20	C₁₁×#423	—	2	2	no	—
21	C₁₁×#423	C₂²	1	4	yes	complemented
22	C₂×C₁₁×C₄⋊C₈	—	2	2	no	—
23	C₂×C₁₁×#104	—	2	16	no	—
24	C₂×C₁₁×#104	C₂²	1	16	yes	complemented
25	C₄³×C₁₁	—	2	2	no	—
26	C₄³×C₁₁	C₂²	1	4	yes	complemented
27	C₂×C₁₁×#41	—	2	2	no	—
28	C₂×C₁₁×#41	—	2	2	no	—
29	C₂×C₁₁×#41	—	2	8	no	—
30	C₂×C₁₁×#41	—	2	8	no	—
31	C₂×C₁₁×#41	C₂×C₄	1	4	yes	—
32	C₂×C₁₁×#41	C₂³	1	4	yes	—
33	C₂²×Q₈×C₁₁	C₂×C₄	1	2	yes	—
34	C₂²×D₄×C₁₁	—	2	2	no	—
35	C₂²×D₄×C₁₁	—	2	2	no	—
36	C₂²×D₄×C₁₁	C₂×C₄	1	2	yes	—
37	C₂³×C₄×C₁₁	—	2	2	no	—
38	C₂³×C₄×C₁₁	—	2	2	no	—
39	C₂³×C₄×C₁₁	D₄	1	2	yes	—
40	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
41	C₂×C₁₁×M₁₆	—	2	2	no	—
42	C₂×C₁₁×M₁₆	—	2	8	no	—
43	C₂×C₁₁×M₁₆	C₂³	1	4	yes	—
44	C₂²×C₈×C₁₁	—	2	2	no	—
45	C₁₁×C₄⋊Q₈	—	2	2	no	—
46	C₁₁×C₄⋊Q₈	C₂×C₄	1	4	yes	complemented
47	C₁₁×#127	—	2	2	no	—
48	C₁₁×#127	C₂×C₄	1	4	yes	complemented
49	C₁₁×#124	—	2	4	no	—
50	C₁₁×#124	C₂×C₄	1	8	yes	complemented
51	C₁₁×#121	—	2	8	no	—
52	C₁₁×#121	—	2	8	no	—
53	C₄×D₄×C₁₁	—	2	8	no	—
54	C₄×D₄×C₁₁	—	2	8	no	—
55	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
56	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
57	C₂×C₄²×C₁₁	—	2	16	no	—
58	C₂×C₄²×C₁₁	—	2	8	no	—
59	C₂×C₄²×C₁₁	—	2	2	no	—
60	C₂×C₄²×C₁₁	—	2	4	no	—
61	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
62	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
63	C₂×C₄²×C₁₁	C₂×C₄	1	2	yes	—
64	C₂×C₄²×C₁₁	D₄	1	2	yes	—
65	C₂×C₄²×C₁₁	D₄	1	2	yes	—
66	C₂×C₄²×C₁₁	D₄	1	2	yes	—
67	C₂×C₄²×C₁₁	D₄	1	8	yes	complemented
68	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
69	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
70	C₁₁×C₄⋊C₈	—	2	8	no	—
71	C₁₁×#104	—	2	32	no	—
72	C₂×#1962	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
73	C₂⁴×C₁₁	—	2	2	no	—
74	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
75	C₁₁×#41	—	2	16	no	—
76	C₁₁×#41	—	2	8	no	—
77	C₁₁×#41	—	2	8	no	—
78	C₁₁×#41	—	4	8	no	—
79	C₁₁×#41	—	4	4	no	—
80	C₁₁×#41	—	4	4	no	—
81	C₂×Q₈×C₁₁	—	2	2	no	—
82	C₂×Q₈×C₁₁	—	2	8	no	—
83	C₂×Q₈×C₁₁	C₂²×C₄	1	4	yes	—
84	C₂×D₄×C₁₁	—	2	4	no	—
85	C₂×D₄×C₁₁	—	2	4	no	—
86	C₂×D₄×C₁₁	—	2	8	no	—
87	C₂×D₄×C₁₁	—	2	2	no	—
88	C₂×D₄×C₁₁	—	2	8	no	—
89	C₂×D₄×C₁₁	—	4	8	no	—
90	C₂×D₄×C₁₁	—	4	8	no	—
91	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
92	C₂²×C₄×C₁₁	—	2	16	no	—
93	C₂²×C₄×C₁₁	—	2	8	no	—
94	C₂²×C₄×C₁₁	—	2	4	no	—
95	C₂²×C₄×C₁₁	—	2	8	no	—
96	C₂²×C₄×C₁₁	—	2	2	no	—
97	C₂²×C₄×C₁₁	—	2	4	no	—
98	C₂²×C₄×C₁₁	—	2	4	no	—
99	C₂²×C₄×C₁₁	—	4	4	no	—
100	C₂²×C₄×C₁₁	—	4	4	no	—
101	C₂²×C₄×C₁₁	C₂²⋊C₄	1	2	yes	—
102	C₂²×C₄×C₁₁	C₂²⋊C₄	1	4	yes	—
103	C₂²×C₄×C₁₁	C₂²⋊C₄	1	2	yes	—
104	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
105	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
106	C₂²×C₄×C₁₁	C₂×D₄	1	4	yes	—
107	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
108	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
109	C₂²×C₄×C₁₁	C₂×D₄	1	4	yes	—
110	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
111	C₂²×C₄×C₁₁	#41	1	4	yes	—
112	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
113	C₁₁×M₁₆	—	2	8	no	—
114	C₁₁×M₁₆	—	4	4	no	—
115	C₂×C₈×C₁₁	—	2	4	no	—
116	C₂×C₈×C₁₁	—	4	4	no	—
117	C₁₁×C₄⋊C₄	—	2	8	no	—
118	C₁₁×C₂²⋊C₄	—	2	16	no	—
119	C₄²×C₁₁	—	2	32	no	—
120	C₄²×C₁₁	—	2	8	no	—
121	C₄²×C₁₁	—	2	4	no	—
122	C₄²×C₁₁	C₂²⋊C₄	1	4	yes	—
123	C₄²×C₁₁	C₂²⋊C₄	1	2	yes	—
124	C₄²×C₁₁	C₂²⋊C₄	1	2	yes	—
125	C₄²×C₁₁	C₂²×C₄	1	2	yes	—
126	C₄²×C₁₁	C₂²×C₄	1	2	yes	—
127	C₄²×C₁₁	C₂×D₄	1	4	yes	—
128	C₄²×C₁₁	C₂×D₄	1	8	yes	complemented
129	C₂×#532	C₂×C₁₁	1	1	yes	characteristic
130	C₂×#423	C₂×C₁₁	1	1	yes	characteristic, complemented
131	C₂²×#104	C₂×C₁₁	1	4	yes	complemented
132	C₂×C₄³	C₂×C₁₁	1	1	yes	characteristic, complemented
133	#1962	C₂×C₁₁	1	8	yes	direct product factor
134	C₂³×C₁₁	—	2	4	no	—
135	C₂³×C₁₁	—	2	4	no	—
136	C₂³×C₁₁	—	4	4	no	—
137	C₂³×C₁₁	—	4	8	no	—
138	C₂³×C₁₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
139	C₂³×C₁₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
140	C₂³×C₁₁	#121	1	4	yes	—
141	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
142	Q₈×C₁₁	—	2	8	no	—
143	Q₈×C₁₁	—	4	4	no	—
144	D₄×C₁₁	—	2	8	no	—
145	D₄×C₁₁	—	4	8	no	—
146	D₄×C₁₁	—	4	8	no	—
147	D₄×C₁₁	—	4	4	no	—
148	D₄×C₁₁	—	4	16	no	—
149	C₂×C₄×C₁₁	—	2	16	no	—
150	C₂×C₄×C₁₁	—	2	32	no	—
151	C₂×C₄×C₁₁	—	2	8	no	—
152	C₂×C₄×C₁₁	—	2	4	no	—
153	C₂×C₄×C₁₁	—	2	8	no	—
154	C₂×C₄×C₁₁	—	2	8	no	—
155	C₂×C₄×C₁₁	—	2	4	no	—
156	C₂×C₄×C₁₁	—	4	4	no	—
157	C₂×C₄×C₁₁	—	4	4	no	—
158	C₂×C₄×C₁₁	—	4	4	no	—
159	C₂×C₄×C₁₁	—	4	8	no	—
160	C₂×C₄×C₁₁	#104	1	8	yes	complemented
161	C₂×C₄×C₁₁	C₂×C₂²⋊C₄	1	4	yes	—
162	C₂×C₄×C₁₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
163	C₂×C₄×C₁₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
164	C₂×C₄×C₁₁	C₂×C₂²⋊C₄	1	4	yes	—
165	C₂×C₄×C₁₁	C₄×D₄	1	4	yes	—
166	C₂×C₄×C₁₁	C₄×D₄	1	4	yes	—
167	C₂×C₄×C₁₁	#121	1	4	yes	—
168	C₂×C₄×C₁₁	#124	1	2	yes	—
169	C₂×C₄×C₁₁	#124	1	2	yes	—
170	C₂×C₄×C₁₁	#127	1	2	yes	—
171	C₂×C₄×C₁₁	#127	1	2	yes	—
172	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
173	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
174	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
175	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
176	C₈×C₁₁	—	4	4	no	—
177	C₂²×#41	C₂²×C₁₁	1	2	yes	—
178	C₂²×M₁₆	C₂²×C₁₁	1	2	yes	—
179	#532	—	2	2	no	—
180	#532	—	2	2	no	—
181	#532	C₄×C₁₁	1	4	yes	complemented
182	#532	C₂²×C₁₁	1	4	yes	—
183	C₂×C₄⋊Q₈	C₄×C₁₁	1	1	yes	characteristic, complemented
184	C₂×#127	C₄×C₁₁	1	1	yes	characteristic, complemented
185	C₂×#124	C₄×C₁₁	1	2	yes	complemented
186	C₂×#121	—	2	2	no	—
187	C₂×C₄×D₄	—	2	2	no	—
188	C₂²×C₄²	—	2	2	no	—
189	C₂²×C₄²	C₂²×C₁₁	1	2	yes	—
190	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
191	#423	—	2	2	no	—
192	#423	C₂²×C₁₁	1	4	yes	complemented
193	C₂×C₄⋊C₈	—	2	2	no	—
194	C₂×#104	—	2	16	no	—
195	C₂×#104	C₂²×C₁₁	1	16	yes	complemented
196	C₄³	—	2	2	no	—
197	C₄³	C₂²×C₁₁	1	4	yes	complemented
198	C₂²×C₁₁	—	2	2	no	—
199	C₂²×C₁₁	—	2	2	no	—
200	C₂²×C₁₁	—	2	8	no	—
201	C₂²×C₁₁	—	4	8	no	—
202	C₂²×C₁₁	—	4	4	no	—
203	C₂²×C₁₁	—	8	8	no	—
204	C₂²×C₁₁	#390	1	2	yes	—
205	C₂²×C₁₁	#390	1	2	yes	—
206	C₂²×C₁₁	C₂×#104	1	4	yes	—
207	C₂²×C₁₁	C₂²×C₂²⋊C₄	1	1	yes	characteristic
208	C₂²×C₁₁	C₂×#121	1	2	yes	—
209	C₄×C₁₁	—	2	16	no	—
210	C₄×C₁₁	—	2	4	no	—
211	C₄×C₁₁	—	4	4	no	—
212	C₄×C₁₁	#390	1	2	yes	—
213	C₄×C₁₁	#390	1	2	yes	—
214	C₄×C₁₁	C₂×#104	1	8	yes	complemented
215	C₄×C₁₁	C₂×C₄×D₄	1	2	yes	—
216	C₄×C₁₁	C₂×#124	1	1	yes	characteristic
217	C₄×C₁₁	C₂×#127	1	1	yes	characteristic
218	C₂×#41	—	2	2	no	—
219	C₂×#41	—	2	2	no	—
220	C₂×#41	—	2	8	no	—
221	C₂×#41	—	2	8	no	—
222	C₂×#41	C₂×C₄×C₁₁	1	4	yes	—
223	C₂×#41	C₂³×C₁₁	1	4	yes	—
224	C₂²×Q₈	C₂×C₄×C₁₁	1	2	yes	—
225	C₂²×D₄	—	2	2	no	—
226	C₂²×D₄	—	2	2	no	—
227	C₂²×D₄	C₂×C₄×C₁₁	1	2	yes	—
228	C₂³×C₄	—	2	2	no	—
229	C₂³×C₄	—	2	2	no	—
230	C₂³×C₄	D₄×C₁₁	1	2	yes	—
231	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
232	C₂×M₁₆	—	2	2	no	—
233	C₂×M₁₆	—	2	8	no	—
234	C₂×M₁₆	C₂³×C₁₁	1	4	yes	—
235	C₂²×C₈	—	2	2	no	—
236	C₄⋊Q₈	—	2	2	no	—
237	C₄⋊Q₈	C₂×C₄×C₁₁	1	4	yes	complemented
238	#127	—	2	2	no	—
239	#127	C₂×C₄×C₁₁	1	4	yes	complemented
240	#124	—	2	4	no	—
241	#124	C₂×C₄×C₁₁	1	8	yes	complemented
242	#121	—	2	8	no	—
243	#121	—	2	8	no	—
244	C₄×D₄	—	2	8	no	—
245	C₄×D₄	—	2	8	no	—
246	C₂×C₄⋊C₄	—	2	2	no	—
247	C₂×C₂²⋊C₄	—	2	4	no	—
248	C₂×C₄²	—	2	16	no	—
249	C₂×C₄²	—	2	2	no	—
250	C₂×C₄²	—	2	8	no	—
251	C₂×C₄²	—	2	4	no	—
252	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
253	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
254	C₂×C₄²	C₂×C₄×C₁₁	1	2	yes	—
255	C₂×C₄²	D₄×C₁₁	1	2	yes	—
256	C₂×C₄²	D₄×C₁₁	1	2	yes	—
257	C₂×C₄²	D₄×C₁₁	1	2	yes	—
258	C₂×C₄²	D₄×C₁₁	1	8	yes	complemented
259	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
260	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
261	C₄⋊C₈	—	2	8	no	—
262	#104	—	2	32	no	—
263	C₂×C₁₁	—	2	2	no	—
264	C₂×C₁₁	—	2	2	no	—
265	C₂×C₁₁	—	8	4	no	—
266	C₂×C₁₁	#1962	1	4	yes	direct product factor
267	C₂×C₁₁	C₂×#390	1	1	yes	characteristic
268	C₂×C₁₁	C₂²×#104	1	2	yes	—
269	C₂⁴	—	2	2	no	—
270	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
271	#41	—	2	16	no	—
272	#41	—	2	8	no	—
273	#41	—	2	8	no	—
274	#41	—	4	8	no	—
275	#41	—	4	4	no	—
276	#41	—	4	4	no	—
277	C₂×Q₈	—	2	2	no	—
278	C₂×Q₈	—	2	8	no	—
279	C₂×Q₈	C₂²×C₄×C₁₁	1	4	yes	—
280	C₂×D₄	—	2	4	no	—
281	C₂×D₄	—	2	4	no	—
282	C₂×D₄	—	2	8	no	—
283	C₂×D₄	—	2	2	no	—
284	C₂×D₄	—	2	8	no	—
285	C₂×D₄	—	4	8	no	—
286	C₂×D₄	—	4	8	no	—
287	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
288	C₂²×C₄	—	2	16	no	—
289	C₂²×C₄	—	2	8	no	—
290	C₂²×C₄	—	2	4	no	—
291	C₂²×C₄	—	2	8	no	—
292	C₂²×C₄	—	2	2	no	—
293	C₂²×C₄	—	2	4	no	—
294	C₂²×C₄	—	2	4	no	—
295	C₂²×C₄	—	4	4	no	—
296	C₂²×C₄	—	4	4	no	—
297	C₂²×C₄	C₁₁×C₂²⋊C₄	1	2	yes	—
298	C₂²×C₄	C₁₁×C₂²⋊C₄	1	4	yes	—
299	C₂²×C₄	C₁₁×C₂²⋊C₄	1	2	yes	—
300	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
301	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
302	C₂²×C₄	C₂×D₄×C₁₁	1	4	yes	—
303	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
304	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
305	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
306	C₂²×C₄	C₂×D₄×C₁₁	1	4	yes	—
307	C₂²×C₄	C₁₁×#41	1	4	yes	—
308	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
309	M₁₆	—	2	8	no	—
310	M₁₆	—	4	4	no	—
311	C₂×C₈	—	2	4	no	—
312	C₂×C₈	—	4	4	no	—
313	C₄⋊C₄	—	2	8	no	—
314	C₂²⋊C₄	—	2	16	no	—
315	C₄²	—	2	32	no	—
316	C₄²	—	2	8	no	—
317	C₄²	—	2	4	no	—
318	C₄²	C₁₁×C₂²⋊C₄	1	4	yes	—
319	C₄²	C₁₁×C₂²⋊C₄	1	2	yes	—
320	C₄²	C₁₁×C₂²⋊C₄	1	2	yes	—
321	C₄²	C₂²×C₄×C₁₁	1	2	yes	—
322	C₄²	C₂²×C₄×C₁₁	1	2	yes	—
323	C₄²	C₂×D₄×C₁₁	1	4	yes	—
324	C₄²	C₂×D₄×C₁₁	1	8	yes	complemented
325	C₁₁	C₂×#1962	1	1	yes	characteristic, direct product factor, Sylow
326	C₂³	—	2	4	no	—
327	C₂³	—	2	4	no	—
328	C₂³	—	4	4	no	—
329	C₂³	—	4	8	no	—
330	C₂³	C₂×C₁₁×C₂²⋊C₄	1	1	yes	characteristic
331	C₂³	C₂×C₁₁×C₂²⋊C₄	1	1	yes	characteristic
332	C₂³	C₁₁×#121	1	4	yes	—
333	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
334	Q₈	—	2	8	no	—
335	Q₈	—	4	4	no	—
336	D₄	—	2	8	no	—
337	D₄	—	4	8	no	—
338	D₄	—	4	8	no	—
339	D₄	—	4	4	no	—
340	D₄	—	4	16	no	—
341	C₂×C₄	—	2	16	no	—
342	C₂×C₄	—	2	32	no	—
343	C₂×C₄	—	2	8	no	—
344	C₂×C₄	—	2	4	no	—
345	C₂×C₄	—	2	8	no	—
346	C₂×C₄	—	2	8	no	—
347	C₂×C₄	—	2	4	no	—
348	C₂×C₄	—	4	4	no	—
349	C₂×C₄	—	4	4	no	—
350	C₂×C₄	—	4	8	no	—
351	C₂×C₄	—	4	4	no	—
352	C₂×C₄	C₁₁×#104	1	8	yes	complemented
353	C₂×C₄	C₂×C₁₁×C₂²⋊C₄	1	4	yes	—
354	C₂×C₄	C₂×C₁₁×C₂²⋊C₄	1	1	yes	characteristic
355	C₂×C₄	C₂×C₁₁×C₂²⋊C₄	1	1	yes	characteristic
356	C₂×C₄	C₂×C₁₁×C₂²⋊C₄	1	4	yes	—
357	C₂×C₄	C₄×D₄×C₁₁	1	4	yes	—
358	C₂×C₄	C₄×D₄×C₁₁	1	4	yes	—
359	C₂×C₄	C₁₁×#121	1	4	yes	—
360	C₂×C₄	C₁₁×#124	1	2	yes	—
361	C₂×C₄	C₁₁×#124	1	2	yes	—
362	C₂×C₄	C₁₁×#127	1	2	yes	—
363	C₂×C₄	C₁₁×#127	1	2	yes	—
364	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
365	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
366	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
367	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
368	C₈	—	4	4	no	—
369	C₂²	—	2	2	no	—
370	C₂²	—	2	2	no	—
371	C₂²	—	2	8	no	—
372	C₂²	—	4	8	no	—
373	C₂²	—	4	4	no	—
374	C₂²	—	8	8	no	—
375	C₂²	C₁₁×#390	1	2	yes	—
376	C₂²	C₁₁×#390	1	2	yes	—
377	C₂²	C₂×C₁₁×#104	1	4	yes	—
378	C₂²	C₂²×C₁₁×C₂²⋊C₄	1	1	yes	characteristic
379	C₂²	C₂×C₁₁×#121	1	2	yes	—
380	C₄	—	2	16	no	—
381	C₄	—	2	4	no	—
382	C₄	—	4	4	no	—
383	C₄	C₁₁×#390	1	2	yes	—
384	C₄	C₁₁×#390	1	2	yes	—
385	C₄	C₂×C₁₁×#104	1	8	yes	complemented
386	C₄	C₂×C₄×D₄×C₁₁	1	2	yes	—
387	C₄	C₂×C₁₁×#124	1	1	yes	characteristic
388	C₄	C₂×C₁₁×#127	1	1	yes	characteristic
389	C₂	—	2	2	no	—
390	C₂	—	2	2	no	—
391	C₂	—	8	4	no	—
392	C₂	C₁₁×#1962	1	4	yes	direct product factor
393	C₂	C₂×C₁₁×#390	1	1	yes	characteristic
394	C₂	C₂²×C₁₁×#104	1	2	yes	—

	subgroup	G/H
center	C₂²×C₄×C₁₁	C₂×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₁
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₁
socle	C₂³×C₁₁	C₂×C₂²⋊C₄
prime radical	C₂×C₁₁×#532	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₁ ◁ C₂²×C₄²×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₁×#423	C₂	semidirect
3. C₂²×C₁₁×#104	C₂	semidirect
4. C₂×C₄³×C₁₁	C₂	semidirect
5. C₁₁×#1962	C₂	direct (N × H)
10. C₁₁×#532	C₄	semidirect
12. C₂×C₁₁×C₄⋊Q₈	C₄	semidirect
13. C₂×C₁₁×#127	C₄	semidirect
14. C₂×C₁₁×#124	C₄	semidirect
21. C₁₁×#423	C₂²	semidirect
24. C₂×C₁₁×#104	C₂²	semidirect
26. C₄³×C₁₁	C₂²	semidirect
46. C₁₁×C₄⋊Q₈	C₂×C₄	semidirect
48. C₁₁×#127	C₂×C₄	semidirect
50. C₁₁×#124	C₂×C₄	semidirect
67. C₂×C₄²×C₁₁	D₄	semidirect
72. C₂×#1962	C₁₁	direct (N × H)
128. C₄²×C₁₁	C₂×D₄	semidirect
130. C₂×#423	C₂×C₁₁	semidirect
131. C₂²×#104	C₂×C₁₁	semidirect
132. C₂×C₄³	C₂×C₁₁	semidirect
133. #1962	C₂×C₁₁	direct (N × H)
160. C₂×C₄×C₁₁	#104	semidirect
181. #532	C₄×C₁₁	semidirect
183. C₂×C₄⋊Q₈	C₄×C₁₁	semidirect
184. C₂×#127	C₄×C₁₁	semidirect
185. C₂×#124	C₄×C₁₁	semidirect
192. #423	C₂²×C₁₁	semidirect
195. C₂×#104	C₂²×C₁₁	semidirect
197. C₄³	C₂²×C₁₁	semidirect
214. C₄×C₁₁	C₂×#104	semidirect
237. C₄⋊Q₈	C₂×C₄×C₁₁	semidirect
239. #127	C₂×C₄×C₁₁	semidirect
241. #124	C₂×C₄×C₁₁	semidirect
258. C₂×C₄²	D₄×C₁₁	semidirect
266. C₂×C₁₁	#1962	direct (N × H)
324. C₄²	C₂×D₄×C₁₁	semidirect
325. C₁₁	C₂×#1962	direct (N × H)
352. C₂×C₄	C₁₁×#104	semidirect
385. C₄	C₂×C₁₁×#104	semidirect
392. C₂	C₁₁×#1962	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×C₁₁×#532	2
C₂×C₁₁×#423	2
C₂²×C₁₁×#104	2
C₂×C₄³×C₁₁	2
C₁₁×#1962	2
C₂×#1962	11

Subgroups — C2×C11×#1962 #14598400

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₁×#1962 #14598400