Subgroups — C₂×#13066475 #14643549

Order 2816.

702 conjugacy classes of subgroups.

The subgroup lattice has 418 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10622537	C₂	1	1	yes	maximal, characteristic
2	C₂×#10622549	C₂	1	1	yes	maximal, characteristic
3	#13066475	C₂	1	4	yes	maximal, direct product factor
4	C₂×C₁₁×#431	C₂	1	1	yes	maximal, characteristic
5	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
6	C₂²×C₄⋊Dic₁₁	—	2	1	no	—
7	C₂²×#4318	—	2	1	no	—
8	C₁₁×#431	—	2	1	no	—
9	C₁₁×#431	—	2	1	no	—
10	C₁₁×#431	C₄	1	2	yes	complemented
11	C₁₁×#431	C₂²	1	2	yes	—
12	C₂×C₁₁×C₄⋊C₈	—	2	1	no	—
13	C₂×C₁₁×C₂²⋊C₈	—	2	1	no	—
14	C₂×C₄×C₈×C₁₁	C₄	1	2	yes	complemented
15	C₂×C₁₁⋊#95	—	2	1	no	—
16	C₂×C₁₁⋊#95	C₄	1	2	yes	—
17	#10622549	—	2	1	no	—
18	#10622549	—	2	1	no	—
19	#10622549	C₄	1	2	yes	—
20	#10622549	C₂²	1	2	yes	—
21	#10622537	—	2	1	no	—
22	#10622537	—	2	1	no	—
23	#10622537	C₄	1	2	yes	complemented
24	#10622537	C₂²	1	2	yes	—
25	C₂×C₄⋊(C₁₁⋊C₈)	—	2	1	no	—
26	C₂×C₄⋊(C₁₁⋊C₈)	C₄	1	2	yes	complemented
27	C₂³×C₄×C₁₁	C₂×C₄	1	1	yes	characteristic
28	C₂³×C₄×C₁₁	D₄	1	1	yes	characteristic
29	C₂³×C₄×C₁₁	D₄	1	1	yes	characteristic
30	C₂³×Dic₁₁	—	2	2	no	—
31	C₂²×C₈×C₁₁	—	2	2	no	—
32	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
33	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
34	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
35	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
36	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
37	C₂×C₄²×C₁₁	D₄	1	1	yes	characteristic
38	C₂×C₄²×C₁₁	D₄	1	1	yes	characteristic
39	C₂×C₄²×C₁₁	D₄	1	1	yes	characteristic
40	C₂×C₄²×C₁₁	D₄	1	1	yes	characteristic
41	C₂×C₄²×C₁₁	Q₈	1	1	yes	characteristic
42	C₂×C₄²×C₁₁	Q₈	1	1	yes	characteristic
43	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
44	C₂×C₄⋊Dic₁₁	—	2	2	no	—
45	C₂×C₄⋊Dic₁₁	—	2	2	no	—
46	C₂×C₄⋊Dic₁₁	—	4	2	no	—
47	C₂×C₄⋊Dic₁₁	—	4	2	no	—
48	C₂×#4318	—	2	2	no	—
49	C₂×#4318	—	2	2	no	—
50	C₂×#4318	—	4	2	no	—
51	C₂×#4318	—	4	2	no	—
52	C₂²×C₁₁⋊C₈	—	2	2	no	—
53	C₁₁×C₄⋊C₈	—	2	2	no	—
54	C₁₁×C₄⋊C₈	—	2	2	no	—
55	C₁₁×C₂²⋊C₈	—	2	2	no	—
56	C₁₁×C₂²⋊C₈	—	2	2	no	—
57	C₄×C₈×C₁₁	—	2	2	no	—
58	C₄×C₈×C₁₁	C₂×C₄	1	4	yes	complemented
59	C₁₁⋊#95	—	2	2	no	—
60	C₁₁⋊#95	—	2	2	no	—
61	C₁₁⋊#95	—	2	2	no	—
62	C₁₁⋊#95	C₂×C₄	1	4	yes	—
63	C₄⋊(C₁₁⋊C₈)	—	2	2	no	—
64	C₄⋊(C₁₁⋊C₈)	—	2	2	no	—
65	C₄⋊(C₁₁⋊C₈)	—	2	2	no	—
66	C₄⋊(C₁₁⋊C₈)	C₂×C₄	1	4	yes	complemented
67	C₂×#1286	—	11	1	no	maximal, Sylow
68	C₂⁴×C₁₁	C₂²⋊C₄	1	1	yes	characteristic
69	C₂²×C₄×C₁₁	—	4	2	no	—
70	C₂²×C₄×C₁₁	—	4	2	no	—
71	C₂²×C₄×C₁₁	C₄²	1	1	yes	characteristic
72	C₂²×C₄×C₁₁	C₄²	1	1	yes	characteristic
73	C₂²×C₄×C₁₁	C₂²⋊C₄	1	1	yes	characteristic
74	C₂²×C₄×C₁₁	C₂²⋊C₄	1	1	yes	characteristic
75	C₂²×C₄×C₁₁	C₂²⋊C₄	1	1	yes	characteristic
76	C₂²×C₄×C₁₁	C₂²⋊C₄	1	1	yes	characteristic
77	C₂²×C₄×C₁₁	C₂²⋊C₄	1	1	yes	characteristic
78	C₂²×C₄×C₁₁	C₂²⋊C₄	1	1	yes	characteristic
79	C₂²×C₄×C₁₁	C₂²⋊C₄	1	1	yes	characteristic
80	C₂²×C₄×C₁₁	C₄⋊C₄	1	1	yes	characteristic
81	C₂²×C₄×C₁₁	C₄⋊C₄	1	1	yes	characteristic
82	C₂²×C₄×C₁₁	C₄⋊C₄	1	1	yes	characteristic
83	C₂²×C₄×C₁₁	C₄⋊C₄	1	1	yes	characteristic
84	C₂²×C₄×C₁₁	C₄⋊C₄	1	1	yes	characteristic
85	C₂²×C₄×C₁₁	C₄⋊C₄	1	1	yes	characteristic
86	C₂²×C₄×C₁₁	D₈	1	2	yes	—
87	C₂²×C₄×C₁₁	SD₁₆	1	2	yes	—
88	C₂²×C₄×C₁₁	SD₁₆	1	2	yes	—
89	C₂²×C₄×C₁₁	Q₁₆	1	2	yes	—
90	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
91	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
93	C₂²×Dic₁₁	—	2	4	no	—
94	C₂²×Dic₁₁	—	4	4	no	—
95	C₂²×Dic₁₁	—	4	4	no	—
96	C₂²×Dic₁₁	—	4	4	no	—
97	C₂×C₈×C₁₁	—	2	4	no	—
98	C₂×C₈×C₁₁	—	4	4	no	—
99	C₄²×C₁₁	C₄²	1	1	yes	characteristic
100	C₄²×C₁₁	C₄²	1	1	yes	characteristic
101	C₄²×C₁₁	C₂²⋊C₄	1	1	yes	characteristic
102	C₄²×C₁₁	C₂²⋊C₄	1	1	yes	characteristic
103	C₄²×C₁₁	C₂²⋊C₄	1	1	yes	characteristic
104	C₄²×C₁₁	C₂²⋊C₄	1	1	yes	characteristic
105	C₄²×C₁₁	C₄⋊C₄	1	1	yes	characteristic
106	C₄²×C₁₁	C₄⋊C₄	1	1	yes	characteristic
107	C₄²×C₁₁	C₄⋊C₄	1	1	yes	characteristic
108	C₄²×C₁₁	C₄⋊C₄	1	1	yes	characteristic
109	C₄²×C₁₁	C₄⋊C₄	1	1	yes	characteristic
110	C₄²×C₁₁	C₄⋊C₄	1	1	yes	characteristic
111	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
112	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
113	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
114	C₄²×C₁₁	C₂×Q₈	1	1	yes	characteristic
115	C₄⋊Dic₁₁	—	4	4	no	—
116	C₄⋊Dic₁₁	—	4	2	no	—
117	C₄⋊Dic₁₁	—	4	2	no	—
118	#4318	—	4	4	no	—
119	#4318	—	4	2	no	—
120	#4318	—	4	2	no	—
121	C₂×C₁₁⋊C₈	—	2	4	no	—
122	C₂×C₁₁⋊C₈	—	4	4	no	—
123	C₂×#431	D₁₁	1	1	yes	characteristic
124	C₂×#423	—	11	1	no	—
125	C₂×#382	—	11	1	no	—
126	#1286	—	11	4	no	—
127	C₂³×C₁₁	—	2	2	no	—
128	C₂³×C₁₁	—	2	2	no	—
129	C₂³×C₁₁	#95	1	1	yes	characteristic
130	C₂³×C₁₁	#95	1	1	yes	characteristic
131	C₂³×C₁₁	#102	1	2	yes	—
132	C₂³×C₁₁	#103	1	2	yes	—
133	C₂³×C₁₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
134	C₂×C₄×C₁₁	—	2	2	no	—
135	C₂×C₄×C₁₁	—	2	2	no	—
136	C₂×C₄×C₁₁	—	2	2	no	—
137	C₂×C₄×C₁₁	—	2	2	no	—
138	C₂×C₄×C₁₁	—	4	1	no	—
139	C₂×C₄×C₁₁	—	4	1	no	—
140	C₂×C₄×C₁₁	—	4	1	no	—
141	C₂×C₄×C₁₁	—	4	1	no	—
142	C₂×C₄×C₁₁	—	4	1	no	—
143	C₂×C₄×C₁₁	—	4	1	no	—
144	C₂×C₄×C₁₁	—	4	1	no	—
145	C₂×C₄×C₁₁	—	4	1	no	—
146	C₂×C₄×C₁₁	#95	1	1	yes	characteristic
147	C₂×C₄×C₁₁	#95	1	1	yes	characteristic
148	C₂×C₄×C₁₁	#95	1	1	yes	characteristic
149	C₂×C₄×C₁₁	#95	1	1	yes	characteristic
150	C₂×C₄×C₁₁	#95	1	1	yes	characteristic
151	C₂×C₄×C₁₁	#95	1	1	yes	characteristic
152	C₂×C₄×C₁₁	#102	1	2	yes	—
153	C₂×C₄×C₁₁	#102	1	2	yes	—
154	C₂×C₄×C₁₁	#102	1	2	yes	—
155	C₂×C₄×C₁₁	#103	1	2	yes	—
156	C₂×C₄×C₁₁	#103	1	2	yes	—
157	C₂×C₄×C₁₁	#103	1	2	yes	—
158	C₂×C₄×C₁₁	#106	1	2	yes	—
159	C₂×C₄×C₁₁	#106	1	2	yes	—
160	C₂×C₄×C₁₁	#107	1	2	yes	—
161	C₂×C₄×C₁₁	#107	1	2	yes	—
162	C₂×C₄×C₁₁	C₂×C₄²	1	1	yes	characteristic
163	C₂×C₄×C₁₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
164	C₂×C₄×C₁₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
165	C₂×C₄×C₁₁	C₂×C₄⋊C₄	1	1	yes	characteristic
166	C₂×C₄×C₁₁	C₂×C₄⋊C₄	1	1	yes	characteristic
167	C₂×C₄×C₁₁	C₂×C₄⋊C₄	1	1	yes	characteristic
168	C₂×C₄×C₁₁	C₂×D₈	1	1	yes	characteristic
169	C₂×C₄×C₁₁	C₂×SD₁₆	1	1	yes	characteristic
170	C₂×C₄×C₁₁	C₂×SD₁₆	1	1	yes	characteristic
171	C₂×C₄×C₁₁	C₂×Q₁₆	1	1	yes	characteristic
172	C₂×Dic₁₁	—	4	4	no	—
173	C₂×Dic₁₁	—	4	4	no	—
174	C₂×Dic₁₁	—	4	4	no	—
175	C₂×Dic₁₁	—	8	8	no	—
176	C₈×C₁₁	—	4	4	no	—
177	C₁₁⋊C₈	—	4	4	no	—
178	C₂²×M₁₆	—	22	1	no	—
179	C₂²×C₄⋊C₄	—	22	1	no	—
180	C₂²×C₄²	C₂×D₁₁	1	1	yes	characteristic
181	#431	—	2	1	no	—
182	#431	—	2	1	no	—
183	#431	Dic₁₁	1	2	yes	complemented
184	#431	C₂×D₁₁	1	2	yes	—
185	#423	—	11	2	no	—
186	#423	—	11	2	no	—
187	#423	—	22	1	no	—
188	#423	—	22	1	no	—
189	C₂×C₄⋊C₈	—	2	1	no	—
190	C₂×C₄⋊C₈	—	11	2	no	—
191	C₂×C₄⋊C₈	—	22	1	no	—
192	C₂×C₂²⋊C₈	—	2	1	no	—
193	C₂×C₄×C₈	Dic₁₁	1	2	yes	complemented
194	#382	—	11	2	no	—
195	#382	—	11	2	no	—
196	#382	—	22	1	no	—
197	#382	—	22	1	no	—
198	C₂×#95	—	11	2	no	—
199	C₂×#95	—	22	1	no	—
200	C₂²×C₁₁	—	2	4	no	—
201	C₂²×C₁₁	—	2	4	no	—
202	C₂²×C₁₁	—	2	1	no	—
203	C₂²×C₁₁	—	2	1	no	—
204	C₂²×C₁₁	—	2	1	no	—
205	C₂²×C₁₁	—	2	1	no	—
206	C₂²×C₁₁	H(3,ℤ/4)	1	2	yes	—
207	C₂²×C₁₁	#340	1	2	yes	—
208	C₂²×C₁₁	#340	1	2	yes	—
209	C₂²×C₁₁	#344	1	2	yes	—
210	C₂²×C₁₁	C₂×#95	1	1	yes	characteristic
211	C₂²×C₁₁	C₂×#102	1	1	yes	characteristic
212	C₂²×C₁₁	C₂×#103	1	1	yes	characteristic
213	C₄×C₁₁	—	2	1	no	—
214	C₄×C₁₁	—	2	1	no	—
215	C₄×C₁₁	—	2	1	no	—
216	C₄×C₁₁	—	2	1	no	—
217	C₄×C₁₁	—	2	1	no	—
218	C₄×C₁₁	—	2	1	no	—
219	C₄×C₁₁	—	2	1	no	—
220	C₄×C₁₁	—	2	1	no	—
221	C₄×C₁₁	#340	1	2	yes	—
222	C₄×C₁₁	#340	1	2	yes	—
223	C₄×C₁₁	C₂×#102	1	1	yes	characteristic
224	C₄×C₁₁	C₂×#103	1	1	yes	characteristic
225	C₄×C₁₁	C₂×#106	1	1	yes	characteristic
226	C₄×C₁₁	C₂×#107	1	1	yes	characteristic
227	Dic₁₁	—	8	4	no	—
228	C₂³×C₄	—	22	2	no	—
229	C₂³×C₄	C₄×D₁₁	1	1	yes	characteristic
230	C₂³×C₄	D₄₄	1	1	yes	characteristic
231	C₂³×C₄	C₂²⋊D₁₁	1	1	yes	characteristic
232	C₂×M₁₆	—	22	2	no	—
233	C₂×M₁₆	—	22	2	no	—
234	C₂×M₁₆	—	44	2	no	—
235	C₂×M₁₆	—	44	2	no	—
236	C₂²×C₈	—	2	2	no	—
237	C₂²×C₈	—	22	2	no	—
238	C₂×C₄⋊C₄	—	22	2	no	—
239	C₂×C₄⋊C₄	—	22	2	no	—
240	C₂×C₄⋊C₄	—	44	2	no	—
241	C₂×C₄⋊C₄	—	44	2	no	—
242	C₂×C₄²	Dic₂₂	1	1	yes	characteristic
243	C₂×C₄²	Dic₂₂	1	1	yes	characteristic
244	C₂×C₄²	C₄×D₁₁	1	1	yes	characteristic
245	C₂×C₄²	C₄×D₁₁	1	1	yes	characteristic
246	C₂×C₄²	C₄×D₁₁	1	1	yes	characteristic
247	C₂×C₄²	D₄₄	1	1	yes	characteristic
248	C₂×C₄²	C₂×Dic₁₁	1	1	yes	characteristic
249	C₂×C₄²	C₂×Dic₁₁	1	1	yes	characteristic
250	C₂×C₄²	C₂²⋊D₁₁	1	1	yes	characteristic
251	C₂×C₄²	C₂²⋊D₁₁	1	1	yes	characteristic
252	C₂×C₄²	C₂²⋊D₁₁	1	1	yes	characteristic
253	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
254	C₄⋊C₈	—	2	2	no	—
255	C₄⋊C₈	—	2	2	no	—
256	C₄⋊C₈	—	11	4	no	—
257	C₄⋊C₈	—	22	2	no	—
258	C₄⋊C₈	—	22	2	no	—
259	C₄⋊C₈	—	22	2	no	—
260	C₂²⋊C₈	—	2	2	no	—
261	C₂²⋊C₈	—	2	2	no	—
262	C₄×C₈	—	2	2	no	—
263	C₄×C₈	C₂×Dic₁₁	1	4	yes	complemented
264	#95	—	11	4	no	—
265	#95	—	22	2	no	—
266	#95	—	22	2	no	—
267	#95	—	22	2	no	—
268	C₂×C₁₁	—	2	1	no	—
269	C₂×C₁₁	—	2	2	no	—
270	C₂×C₁₁	—	2	1	no	—
271	C₂×C₁₁	#1286	1	4	yes	complemented
272	C₂×C₁₁	C₂×H(3,ℤ/4)	1	1	yes	characteristic
273	C₂×C₁₁	C₂×#340	1	1	yes	characteristic
274	C₂×C₁₁	C₂×#344	1	1	yes	characteristic
275	C₂⁴	(C₂×D₁₁)⋊C₄	1	1	yes	characteristic
276	C₂²×C₄	—	4	2	no	—
277	C₂²×C₄	—	4	2	no	—
278	C₂²×C₄	—	22	4	no	—
279	C₂²×C₄	—	44	4	no	—
280	C₂²×C₄	—	44	4	no	—
281	C₂²×C₄	—	44	4	no	—
282	C₂²×C₄	#4314	1	2	yes	—
283	C₂²×C₄	#4314	1	2	yes	—
284	C₂²×C₄	D₈₈	1	2	yes	—
285	C₂²×C₄	Dic₄₄	1	2	yes	—
286	C₂²×C₄	C₄×Dic₁₁	1	1	yes	characteristic
287	C₂²×C₄	C₄×Dic₁₁	1	1	yes	characteristic
288	C₂²×C₄	Dic₁₁⋊C₄	1	1	yes	characteristic
289	C₂²×C₄	Dic₁₁⋊C₄	1	1	yes	characteristic
290	C₂²×C₄	Dic₁₁⋊C₄	1	1	yes	characteristic
291	C₂²×C₄	Dic₁₁⋊C₄	1	1	yes	characteristic
292	C₂²×C₄	C₄⋊Dic₁₁	1	1	yes	characteristic
293	C₂²×C₄	C₄⋊Dic₁₁	1	1	yes	characteristic
294	C₂²×C₄	(C₂×D₁₁)⋊C₄	1	1	yes	characteristic
295	C₂²×C₄	(C₂×D₁₁)⋊C₄	1	1	yes	characteristic
296	C₂²×C₄	(C₂×D₁₁)⋊C₄	1	1	yes	characteristic
297	C₂²×C₄	(C₂×D₁₁)⋊C₄	1	1	yes	characteristic
298	C₂²×C₄	(C₂×D₁₁)⋊C₄	1	1	yes	characteristic
299	C₂²×C₄	C₂²⋊Dic₁₁	1	1	yes	characteristic
300	C₂²×C₄	C₂²⋊Dic₁₁	1	1	yes	characteristic
301	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
302	C₂²×C₄	C₂×D₄₄	1	1	yes	characteristic
303	C₂²×C₄	C₂×C₂²⋊D₁₁	1	1	yes	characteristic
304	M₁₆	—	44	4	no	—
305	M₁₆	—	44	2	no	—
306	M₁₆	—	44	2	no	—
307	C₂×C₈	—	2	4	no	—
308	C₂×C₈	—	4	4	no	—
309	C₂×C₈	—	22	4	no	—
310	C₂×C₈	—	44	4	no	—
311	C₄⋊C₄	—	44	4	no	—
312	C₄⋊C₄	—	44	2	no	—
313	C₄⋊C₄	—	44	2	no	—
314	C₄²	C₄×Dic₁₁	1	1	yes	characteristic
315	C₄²	C₄×Dic₁₁	1	1	yes	characteristic
316	C₄²	Dic₁₁⋊C₄	1	1	yes	characteristic
317	C₄²	Dic₁₁⋊C₄	1	1	yes	characteristic
318	C₄²	Dic₁₁⋊C₄	1	1	yes	characteristic
319	C₄²	Dic₁₁⋊C₄	1	1	yes	characteristic
320	C₄²	C₄⋊Dic₁₁	1	1	yes	characteristic
321	C₄²	C₄⋊Dic₁₁	1	1	yes	characteristic
322	C₄²	(C₂×D₁₁)⋊C₄	1	1	yes	characteristic
323	C₄²	(C₂×D₁₁)⋊C₄	1	1	yes	characteristic
324	C₄²	C₂²⋊Dic₁₁	1	1	yes	characteristic
325	C₄²	C₂²⋊Dic₁₁	1	1	yes	characteristic
326	C₄²	C₂×Dic₂₂	1	1	yes	characteristic
327	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
328	C₄²	C₂²×Dic₁₁	1	1	yes	characteristic
329	C₄²	C₂×C₂²⋊D₁₁	1	1	yes	characteristic
330	C₁₁	C₂×#1286	1	1	yes	characteristic, complemented, Sylow
331	C₂³	—	2	2	no	—
332	C₂³	—	2	2	no	—
333	C₂³	#66880	1	2	yes	—
334	C₂³	#66885	1	2	yes	—
335	C₂³	C₁₁⋊#95	1	1	yes	characteristic
336	C₂³	C₁₁⋊#95	1	1	yes	characteristic
337	C₂³	C₂×(C₂×D₁₁)⋊C₄	1	1	yes	characteristic
338	C₂×C₄	—	2	2	no	—
339	C₂×C₄	—	2	2	no	—
340	C₂×C₄	—	2	2	no	—
341	C₂×C₄	—	2	2	no	—
342	C₂×C₄	—	4	1	no	—
343	C₂×C₄	—	4	1	no	—
344	C₂×C₄	—	4	1	no	—
345	C₂×C₄	—	4	1	no	—
346	C₂×C₄	—	4	1	no	—
347	C₂×C₄	—	4	1	no	—
348	C₂×C₄	—	4	1	no	—
349	C₂×C₄	—	4	1	no	—
350	C₂×C₄	—	44	4	no	—
351	C₂×C₄	—	44	4	no	—
352	C₂×C₄	—	44	4	no	—
353	C₂×C₄	—	88	8	no	—
354	C₂×C₄	#66880	1	2	yes	—
355	C₂×C₄	#66880	1	2	yes	—
356	C₂×C₄	#66880	1	2	yes	—
357	C₂×C₄	#66881	1	2	yes	—
358	C₂×C₄	#66881	1	2	yes	—
359	C₂×C₄	#66882	1	2	yes	—
360	C₂×C₄	#66882	1	2	yes	—
361	C₂×C₄	#66885	1	2	yes	—
362	C₂×C₄	#66885	1	2	yes	—
363	C₂×C₄	#66885	1	2	yes	—
364	C₂×C₄	C₁₁⋊#95	1	1	yes	characteristic
365	C₂×C₄	C₁₁⋊#95	1	1	yes	characteristic
366	C₂×C₄	C₁₁⋊#95	1	1	yes	characteristic
367	C₂×C₄	C₁₁⋊#95	1	1	yes	characteristic
368	C₂×C₄	C₁₁⋊#95	1	1	yes	characteristic
369	C₂×C₄	C₁₁⋊#95	1	1	yes	characteristic
370	C₂×C₄	C₂×#4314	1	1	yes	characteristic
371	C₂×C₄	C₂×#4314	1	1	yes	characteristic
372	C₂×C₄	C₂×D₈₈	1	1	yes	characteristic
373	C₂×C₄	C₂×Dic₄₄	1	1	yes	characteristic
374	C₂×C₄	C₂×C₄×Dic₁₁	1	1	yes	characteristic
375	C₂×C₄	C₂×Dic₁₁⋊C₄	1	1	yes	characteristic
376	C₂×C₄	C₂×Dic₁₁⋊C₄	1	1	yes	characteristic
377	C₂×C₄	C₂×C₄⋊Dic₁₁	1	1	yes	characteristic
378	C₂×C₄	C₂×(C₂×D₁₁)⋊C₄	1	1	yes	characteristic
379	C₂×C₄	C₂×C₂²⋊Dic₁₁	1	1	yes	characteristic
380	C₈	—	4	4	no	—
381	C₈	—	44	4	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	2	1	no	—
385	C₂²	—	2	1	no	—
386	C₂²	—	2	4	no	—
387	C₂²	—	2	4	no	—
388	C₂²	#10622169	1	2	yes	—
389	C₂²	#10622189	1	2	yes	—
390	C₂²	#10622189	1	2	yes	—
391	C₂²	#10622194	1	2	yes	—
392	C₂²	C₂×#66880	1	1	yes	characteristic
393	C₂²	C₂×#66885	1	1	yes	characteristic
394	C₂²	C₂×C₁₁⋊#95	1	1	yes	characteristic
395	C₄	—	2	1	no	—
396	C₄	—	2	1	no	—
397	C₄	—	2	1	no	—
398	C₄	—	2	1	no	—
399	C₄	—	2	1	no	—
400	C₄	—	2	1	no	—
401	C₄	—	2	1	no	—
402	C₄	—	2	1	no	—
403	C₄	—	88	4	no	—
404	C₄	#10622189	1	2	yes	—
405	C₄	#10622189	1	2	yes	—
406	C₄	C₂×#66880	1	1	yes	characteristic
407	C₄	C₂×#66881	1	1	yes	characteristic
408	C₄	C₂×#66882	1	1	yes	characteristic
409	C₄	C₂×#66885	1	1	yes	characteristic
410	C₂	—	2	1	no	—
411	C₂	—	2	2	no	—
412	C₂	—	2	1	no	—
413	C₂	#13066475	1	4	yes	direct product factor
414	C₂	C₂×#10622169	1	1	yes	characteristic
415	C₂	C₂×#10622189	1	1	yes	characteristic
416	C₂	C₂×#10622194	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₁₁⋊#95
commutator	C₂×C₄×C₁₁	C₂×C₄²
Frattini	C₂×C₄²	C₂²×D₁₁
Fitting	C₂×C₁₁×#431	C₂
socle	C₂³×C₁₁	#95
prime radical	C₂⁴×C₁₁	C₂²⋊C₄
cosocle	C₂×C₄²×C₁₁	C₂³
hypercenter	C₂×#431	D₁₁
hypocenter	C₁₁	C₂×#1286
LCS	G ▷ C₂×C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄² ◁ C₂×#431

Complements

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

N	H ≅ G/N	type
3. #13066475	C₂	direct (N × H)
10. C₁₁×#431	C₄	semidirect
14. C₂×C₄×C₈×C₁₁	C₄	semidirect
23. #10622537	C₄	semidirect
26. C₂×C₄⋊(C₁₁⋊C₈)	C₄	semidirect
58. C₄×C₈×C₁₁	C₂×C₄	semidirect
66. C₄⋊(C₁₁⋊C₈)	C₂×C₄	semidirect
183. #431	Dic₁₁	semidirect
193. C₂×C₄×C₈	Dic₁₁	semidirect
263. C₄×C₈	C₂×Dic₁₁	semidirect
271. C₂×C₁₁	#1286	semidirect
330. C₁₁	C₂×#1286	semidirect
413. C₂	#13066475	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×#10622537	2
C₂×#10622549	2
#13066475	2
C₂×C₁₁×#431	2
C₂×#1286	11

Subgroups — C2×#13066475 #14643549

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13066475 #14643549