Subgroups — C₂×C₁₁×#3290 #14638294

Order 2816.

2650 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#578	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₁×#577	C₂	1	2	yes	maximal, complemented
3	C₂×C₁₁×#576	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#3290	C₂	1	16	yes	maximal, direct product factor
5	C₂×C₁₁×#495	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₁×#473	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₁₁×#472	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₁×#471	C₂	1	2	yes	maximal, complemented
9	C₂×C₁₁×#454	C₂	1	2	yes	maximal, complemented
10	C₂×C₁₁×#455	C₂	1	2	yes	maximal, complemented
11	C₂×C₁₁×#443	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₁×#443	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₁₁×2₋¹⁺⁴	C₂²	1	2	yes	complemented
14	C₂×C₁₁×H(5,𝔽₂)	C₂²	1	2	yes	—
15	C₁₁×#578	—	2	4	no	—
16	C₁₁×#578	C₂²	1	8	yes	complemented
17	C₁₁×#577	—	2	8	no	—
18	C₁₁×#577	C₂²	1	16	yes	complemented
19	C₁₁×#576	—	2	4	no	—
20	C₁₁×#576	C₂²	1	8	yes	complemented
21	C₂×C₁₁×#137	—	2	2	no	—
22	C₂×C₁₁×#137	—	2	2	no	—
23	C₂×C₁₁×#137	C₂²	1	2	yes	—
24	C₂×C₁₁×#137	C₂²	1	2	yes	complemented
25	C₂×C₁₁×AGL(1,ℤ/8)	—	2	2	no	—
26	C₂×C₁₁×AGL(1,ℤ/8)	—	2	2	no	—
27	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	—
28	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
29	C₂×C₁₁×#135	—	2	1	no	—
30	C₂×C₁₁×#135	—	2	2	no	—
31	C₂×C₁₁×#135	—	2	1	no	—
32	C₂×C₁₁×#135	C₂²	1	1	yes	characteristic
33	C₂×C₁₁×#135	C₂²	1	1	yes	characteristic
34	C₂²×C₁₁×Q₁₆	—	2	1	no	—
35	C₂²×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₂²×C₁₁×SD₁₆	—	2	2	no	—
37	C₂²×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
38	C₂²×C₁₁×D₈	—	2	1	no	—
39	C₂²×C₁₁×D₈	C₂²	1	1	yes	characteristic
40	C₂×C₁₁×#131	C₂²	1	1	yes	characteristic
41	C₂×C₁₁×#131	C₂²	1	2	yes	complemented
42	C₂×C₁₁×#131	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₁₁×#124	C₂²	1	2	yes	complemented
44	C₁₁×#495	C₂²	1	8	yes	complemented
45	C₁₁×#473	C₂²	1	8	yes	complemented
46	C₁₁×#472	C₂²	1	8	yes	complemented
47	C₁₁×#471	C₂²	1	16	yes	complemented
48	C₁₁×#455	C₂²	1	16	yes	complemented
49	C₁₁×#454	C₂²	1	16	yes	complemented
50	C₁₁×#443	C₂²	1	8	yes	complemented
51	C₁₁×#443	C₂²	1	8	yes	complemented
52	C₂×C₁₁×#108	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₁₁×#108	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₁₁×#104	C₂²	1	1	yes	characteristic
55	C₂×C₁₁×#104	C₂²	1	2	yes	complemented
56	C₂×C₁₁×#104	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₁₁×#101	C₂²	1	2	yes	complemented
58	C₂×C₁₁×#100	C₂²	1	2	yes	complemented
59	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
60	C₁₁×2₋¹⁺⁴	—	2	4	no	—
61	C₁₁×2₋¹⁺⁴	—	2	4	no	—
62	C₁₁×2₋¹⁺⁴	—	4	2	no	—
63	C₁₁×2₋¹⁺⁴	C₂³	1	8	yes	complemented
64	C₁₁×H(5,𝔽₂)	—	2	4	no	—
65	C₁₁×H(5,𝔽₂)	—	2	4	no	—
66	C₁₁×H(5,𝔽₂)	—	4	2	no	—
67	C₁₁×H(5,𝔽₂)	C₂³	1	8	yes	—
68	C₂×C₁₁×#41	—	2	2	no	—
69	C₂×C₁₁×#41	—	2	2	no	—
70	C₂×C₁₁×#41	—	2	2	no	—
71	C₂×C₁₁×#41	—	2	2	no	—
72	C₂×C₁₁×#41	—	4	2	no	—
73	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
74	C₂×C₁₁×#41	C₂³	1	2	yes	—
75	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
76	C₂²×Q₈×C₁₁	—	2	2	no	—
77	C₂²×Q₈×C₁₁	—	2	2	no	—
78	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
79	C₂²×D₄×C₁₁	—	2	2	no	—
80	C₂²×D₄×C₁₁	—	2	2	no	—
81	C₂²×D₄×C₁₁	—	4	2	no	—
82	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
83	C₁₁×#137	—	2	4	no	—
84	C₁₁×#137	—	2	4	no	—
85	C₁₁×#137	—	2	16	no	—
86	C₁₁×#137	—	2	16	no	—
87	C₁₁×#137	C₂³	1	8	yes	—
88	C₁₁×#137	C₂³	1	8	yes	complemented
89	C₁₁×AGL(1,ℤ/8)	—	2	4	no	—
90	C₁₁×AGL(1,ℤ/8)	—	2	4	no	—
91	C₁₁×AGL(1,ℤ/8)	—	2	16	no	—
92	C₁₁×AGL(1,ℤ/8)	—	2	16	no	—
93	C₁₁×AGL(1,ℤ/8)	C₂³	1	8	yes	—
94	C₁₁×AGL(1,ℤ/8)	C₂³	1	8	yes	complemented
95	C₁₁×#135	—	2	8	no	—
96	C₁₁×#135	—	2	16	no	—
97	C₁₁×#135	—	2	8	no	—
98	C₁₁×#135	D₄	1	4	yes	—
99	C₁₁×#135	D₄	1	4	yes	—
100	C₁₁×#135	C₂³	1	4	yes	—
101	C₁₁×#135	C₂³	1	4	yes	—
102	C₂×C₁₁×Q₁₆	—	2	2	no	—
103	C₂×C₁₁×Q₁₆	—	2	2	no	—
104	C₂×C₁₁×Q₁₆	—	2	8	no	—
105	C₂×C₁₁×Q₁₆	—	2	1	no	—
106	C₂×C₁₁×Q₁₆	—	2	1	no	—
107	C₂×C₁₁×Q₁₆	—	2	2	no	—
108	C₂×C₁₁×Q₁₆	D₄	1	1	yes	characteristic
109	C₂×C₁₁×Q₁₆	D₄	1	1	yes	characteristic
110	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	complemented
111	C₂×C₁₁×SD₁₆	—	2	2	no	—
112	C₂×C₁₁×SD₁₆	—	2	2	no	—
113	C₂×C₁₁×SD₁₆	—	2	2	no	—
114	C₂×C₁₁×SD₁₆	—	2	2	no	—
115	C₂×C₁₁×SD₁₆	—	2	16	no	—
116	C₂×C₁₁×SD₁₆	—	2	2	no	—
117	C₂×C₁₁×SD₁₆	—	2	2	no	—
118	C₂×C₁₁×SD₁₆	—	2	4	no	—
119	C₂×C₁₁×SD₁₆	D₄	1	1	yes	characteristic
120	C₂×C₁₁×SD₁₆	D₄	1	1	yes	characteristic
121	C₂×C₁₁×SD₁₆	D₄	1	2	yes	—
122	C₂×C₁₁×SD₁₆	C₂³	1	8	yes	complemented
123	C₂×C₁₁×D₈	—	2	2	no	—
124	C₂×C₁₁×D₈	—	2	2	no	—
125	C₂×C₁₁×D₈	—	2	8	no	—
126	C₂×C₁₁×D₈	—	2	1	no	—
127	C₂×C₁₁×D₈	—	2	1	no	—
128	C₂×C₁₁×D₈	—	2	2	no	—
129	C₂×C₁₁×D₈	D₄	1	1	yes	characteristic
130	C₂×C₁₁×D₈	D₄	1	1	yes	characteristic
131	C₂×C₁₁×D₈	C₂³	1	4	yes	—
132	C₁₁×#131	—	2	2	no	—
133	C₁₁×#131	—	2	4	no	—
134	C₁₁×#131	—	2	2	no	—
135	C₁₁×#131	C₂³	1	4	yes	—
136	C₁₁×#131	C₂³	1	8	yes	complemented
137	C₁₁×#131	C₂³	1	4	yes	complemented
138	C₂×C₁₁×M₁₆	—	2	1	no	—
139	C₂×C₁₁×M₁₆	—	2	2	no	—
140	C₂×C₁₁×M₁₆	—	2	1	no	—
141	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
142	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
143	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
144	C₂²×C₈×C₁₁	—	2	1	no	—
145	C₂²×C₈×C₁₁	—	2	2	no	—
146	C₂²×C₈×C₁₁	—	2	1	no	—
147	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
148	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
149	C₁₁×#124	—	4	2	no	—
150	C₁₁×#124	C₂³	1	8	yes	complemented
151	C₂×C₁₁×C₂²⋊C₄	—	4	2	no	—
152	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
153	C₁₁×#108	C₂³	1	4	yes	complemented
154	C₁₁×#108	C₂³	1	4	yes	complemented
155	C₁₁×#104	C₂³	1	4	yes	—
156	C₁₁×#104	C₂³	1	4	yes	complemented
157	C₁₁×#104	C₂³	1	8	yes	complemented
158	C₁₁×#101	C₂³	1	8	yes	complemented
159	C₁₁×#100	C₂³	1	8	yes	complemented
160	C₄×C₈×C₁₁	C₂³	1	4	yes	complemented
161	C₂×#3290	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
162	C₂⁴×C₁₁	—	2	2	no	—
163	C₂⁴×C₁₁	—	4	2	no	—
164	C₁₁×#41	—	2	1	no	—
165	C₁₁×#41	—	2	2	no	—
166	C₁₁×#41	—	2	1	no	—
167	C₁₁×#41	—	2	1	no	—
168	C₁₁×#41	—	2	2	no	—
169	C₁₁×#41	—	2	1	no	—
170	C₁₁×#41	—	2	8	no	—
171	C₁₁×#41	—	2	8	no	—
172	C₁₁×#41	—	2	8	no	—
173	C₁₁×#41	—	2	8	no	—
174	C₁₁×#41	—	4	8	no	—
175	C₁₁×#41	—	4	4	no	—
176	C₁₁×#41	—	4	4	no	—
177	C₁₁×#41	—	4	4	no	—
178	C₁₁×#41	—	4	4	no	—
179	C₁₁×#41	—	4	8	no	—
180	C₁₁×#41	C₂×D₄	1	2	yes	—
181	C₁₁×#41	C₂×D₄	1	4	yes	—
182	C₁₁×#41	C₂×D₄	1	2	yes	—
183	C₁₁×#41	C₂⁴	1	2	yes	—
184	C₁₁×#41	C₂⁴	1	4	yes	—
185	C₁₁×#41	C₂⁴	1	2	yes	—
186	C₂×Q₈×C₁₁	—	2	2	no	—
187	C₂×Q₈×C₁₁	—	2	8	no	—
188	C₂×Q₈×C₁₁	—	2	8	no	—
189	C₂×Q₈×C₁₁	—	2	2	no	—
190	C₂×Q₈×C₁₁	—	2	2	no	—
191	C₂×Q₈×C₁₁	—	2	2	no	—
192	C₂×Q₈×C₁₁	—	2	2	no	—
193	C₂×Q₈×C₁₁	—	4	2	no	—
194	C₂×Q₈×C₁₁	—	4	4	no	—
195	C₂×Q₈×C₁₁	—	4	4	no	—
196	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
197	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
198	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
199	C₂×Q₈×C₁₁	C₂⁴	1	4	yes	—
200	C₂×D₄×C₁₁	—	2	1	no	—
201	C₂×D₄×C₁₁	—	2	2	no	—
202	C₂×D₄×C₁₁	—	2	1	no	—
203	C₂×D₄×C₁₁	—	2	8	no	—
204	C₂×D₄×C₁₁	—	2	8	no	—
205	C₂×D₄×C₁₁	—	2	2	no	—
206	C₂×D₄×C₁₁	—	2	2	no	—
207	C₂×D₄×C₁₁	—	2	2	no	—
208	C₂×D₄×C₁₁	—	2	2	no	—
209	C₂×D₄×C₁₁	—	2	2	no	—
210	C₂×D₄×C₁₁	—	4	4	no	—
211	C₂×D₄×C₁₁	—	4	4	no	—
212	C₂×D₄×C₁₁	—	4	2	no	—
213	C₂×D₄×C₁₁	—	4	2	no	—
214	C₂×D₄×C₁₁	—	4	8	no	—
215	C₂×D₄×C₁₁	—	4	8	no	—
216	C₂×D₄×C₁₁	—	4	2	no	—
217	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
218	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
219	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
220	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
221	C₂²×C₄×C₁₁	—	2	1	no	—
222	C₂²×C₄×C₁₁	—	2	2	no	—
223	C₂²×C₄×C₁₁	—	2	1	no	—
224	C₂²×C₄×C₁₁	—	2	1	no	—
225	C₂²×C₄×C₁₁	—	2	2	no	—
226	C₂²×C₄×C₁₁	—	4	2	no	—
227	C₂²×C₄×C₁₁	—	4	2	no	—
228	C₂²×C₄×C₁₁	—	4	2	no	—
229	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
230	C₁₁×Q₁₆	—	2	4	no	—
231	C₁₁×Q₁₆	—	2	4	no	—
232	C₁₁×Q₁₆	—	2	8	no	—
233	C₁₁×Q₁₆	—	2	8	no	—
234	C₁₁×Q₁₆	C₂×D₄	1	4	yes	—
235	C₁₁×Q₁₆	C₂×D₄	1	4	yes	—
236	C₁₁×SD₁₆	—	2	8	no	—
237	C₁₁×SD₁₆	—	2	8	no	—
238	C₁₁×SD₁₆	—	2	8	no	—
239	C₁₁×SD₁₆	—	2	8	no	—
240	C₁₁×SD₁₆	—	2	8	no	—
241	C₁₁×SD₁₆	—	2	8	no	—
242	C₁₁×SD₁₆	C₂×D₄	1	4	yes	—
243	C₁₁×SD₁₆	C₂×D₄	1	4	yes	—
244	C₁₁×SD₁₆	C₂×D₄	1	8	yes	—
245	C₁₁×D₈	—	2	4	no	—
246	C₁₁×D₈	—	2	4	no	—
247	C₁₁×D₈	—	2	8	no	—
248	C₁₁×D₈	—	2	8	no	—
249	C₁₁×D₈	C₂×D₄	1	4	yes	—
250	C₁₁×D₈	C₂×D₄	1	4	yes	—
251	C₁₁×M₁₆	—	2	4	no	—
252	C₁₁×M₁₆	—	2	8	no	—
253	C₁₁×M₁₆	—	2	4	no	—
254	C₁₁×M₁₆	—	2	1	no	—
255	C₁₁×M₁₆	—	2	2	no	—
256	C₁₁×M₁₆	—	2	1	no	—
257	C₁₁×M₁₆	C₂⁴	1	2	yes	—
258	C₁₁×M₁₆	C₂⁴	1	4	yes	—
259	C₁₁×M₁₆	C₂⁴	1	2	yes	—
260	C₂×C₈×C₁₁	—	2	4	no	—
261	C₂×C₈×C₁₁	—	2	8	no	—
262	C₂×C₈×C₁₁	—	2	4	no	—
263	C₂×C₈×C₁₁	—	2	1	no	—
264	C₂×C₈×C₁₁	—	2	2	no	—
265	C₂×C₈×C₁₁	—	2	1	no	—
266	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
267	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
268	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
269	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
270	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
271	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
272	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
273	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
274	C₁₁×C₂²⋊C₄	—	4	8	no	—
275	C₄²×C₁₁	—	2	1	no	—
276	C₄²×C₁₁	C₂⁴	1	2	yes	—
277	C₂×#578	C₂×C₁₁	1	1	yes	characteristic, complemented
278	C₂×#577	C₂×C₁₁	1	2	yes	complemented
279	C₂×#576	C₂×C₁₁	1	1	yes	characteristic, complemented
280	#3290	C₂×C₁₁	1	16	yes	direct product factor
281	C₂×#495	C₂×C₁₁	1	1	yes	characteristic, complemented
282	C₂×#473	C₂×C₁₁	1	1	yes	characteristic, complemented
283	C₂×#472	C₂×C₁₁	1	1	yes	characteristic, complemented
284	C₂×#471	C₂×C₁₁	1	2	yes	complemented
285	C₂×#454	C₂×C₁₁	1	2	yes	complemented
286	C₂×#455	C₂×C₁₁	1	2	yes	complemented
287	C₂×#443	C₂×C₁₁	1	1	yes	characteristic, complemented
288	C₂×#443	C₂×C₁₁	1	1	yes	characteristic, complemented
289	C₂³×C₁₁	—	2	1	no	—
290	C₂³×C₁₁	—	2	2	no	—
291	C₂³×C₁₁	—	2	1	no	—
292	C₂³×C₁₁	—	2	4	no	—
293	C₂³×C₁₁	—	4	8	no	—
294	C₂³×C₁₁	—	4	2	no	—
295	C₂³×C₁₁	—	4	2	no	—
296	C₂³×C₁₁	—	8	4	no	—
297	C₂³×C₁₁	—	16	4	no	—
298	C₂³×C₁₁	H(5,𝔽₂)	1	1	yes	characteristic
299	Q₈×C₁₁	—	2	1	no	—
300	Q₈×C₁₁	—	2	2	no	—
301	Q₈×C₁₁	—	2	1	no	—
302	Q₈×C₁₁	—	2	4	no	—
303	Q₈×C₁₁	—	2	4	no	—
304	Q₈×C₁₁	—	4	8	no	—
305	Q₈×C₁₁	—	4	2	no	—
306	Q₈×C₁₁	—	4	2	no	—
307	Q₈×C₁₁	C₂²×D₄	1	2	yes	—
308	Q₈×C₁₁	C₂²×D₄	1	4	yes	—
309	Q₈×C₁₁	C₂²×D₄	1	2	yes	—
310	D₄×C₁₁	—	2	2	no	—
311	D₄×C₁₁	—	2	4	no	—
312	D₄×C₁₁	—	2	2	no	—
313	D₄×C₁₁	—	2	2	no	—
314	D₄×C₁₁	—	2	4	no	—
315	D₄×C₁₁	—	2	2	no	—
316	D₄×C₁₁	—	2	1	no	—
317	D₄×C₁₁	—	2	2	no	—
318	D₄×C₁₁	—	2	1	no	—
319	D₄×C₁₁	—	2	4	no	—
320	D₄×C₁₁	—	2	4	no	—
321	D₄×C₁₁	—	4	8	no	—
322	D₄×C₁₁	—	4	8	no	—
323	D₄×C₁₁	—	4	8	no	—
324	D₄×C₁₁	—	4	2	no	—
325	D₄×C₁₁	—	4	2	no	—
326	D₄×C₁₁	C₂²×D₄	1	2	yes	—
327	D₄×C₁₁	C₂²×D₄	1	4	yes	—
328	D₄×C₁₁	C₂²×D₄	1	2	yes	—
329	C₂×C₄×C₁₁	—	2	1	no	—
330	C₂×C₄×C₁₁	—	2	2	no	—
331	C₂×C₄×C₁₁	—	2	1	no	—
332	C₂×C₄×C₁₁	—	2	2	no	—
333	C₂×C₄×C₁₁	—	2	4	no	—
334	C₂×C₄×C₁₁	—	2	2	no	—
335	C₂×C₄×C₁₁	—	2	2	no	—
336	C₂×C₄×C₁₁	—	2	4	no	—
337	C₂×C₄×C₁₁	—	2	2	no	—
338	C₂×C₄×C₁₁	—	2	2	no	—
339	C₂×C₄×C₁₁	—	2	4	no	—
340	C₂×C₄×C₁₁	—	4	8	no	—
341	C₂×C₄×C₁₁	—	4	8	no	—
342	C₂×C₄×C₁₁	—	4	8	no	—
343	C₂×C₄×C₁₁	—	4	2	no	—
344	C₂×C₄×C₁₁	—	4	2	no	—
345	C₂×C₄×C₁₁	—	4	2	no	—
346	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
347	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
348	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
349	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
350	C₂×C₄×C₁₁	H(5,𝔽₂)	1	1	yes	characteristic
351	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
352	C₈×C₁₁	—	2	2	no	—
353	C₈×C₁₁	—	2	4	no	—
354	C₈×C₁₁	—	2	2	no	—
355	C₈×C₁₁	C₂²×D₄	1	2	yes	—
356	C₈×C₁₁	C₂²×D₄	1	2	yes	—
357	C₈×C₁₁	C₂²×D₄	1	2	yes	—
358	C₈×C₁₁	C₂²×D₄	1	2	yes	—
359	C₂×2₋¹⁺⁴	C₂²×C₁₁	1	2	yes	complemented
360	C₂×H(5,𝔽₂)	C₂²×C₁₁	1	2	yes	—
361	#578	—	2	4	no	—
362	#578	C₂²×C₁₁	1	8	yes	complemented
363	#577	—	2	8	no	—
364	#577	C₂²×C₁₁	1	16	yes	complemented
365	#576	—	2	4	no	—
366	#576	C₂²×C₁₁	1	8	yes	complemented
367	C₂×#137	—	2	2	no	—
368	C₂×#137	—	2	2	no	—
369	C₂×#137	C₂²×C₁₁	1	2	yes	—
370	C₂×#137	C₂²×C₁₁	1	2	yes	complemented
371	C₂×AGL(1,ℤ/8)	—	2	2	no	—
372	C₂×AGL(1,ℤ/8)	—	2	2	no	—
373	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	—
374	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	complemented
375	C₂×#135	—	2	1	no	—
376	C₂×#135	—	2	2	no	—
377	C₂×#135	—	2	1	no	—
378	C₂×#135	C₂²×C₁₁	1	1	yes	characteristic
379	C₂×#135	C₂²×C₁₁	1	1	yes	characteristic
380	C₂²×Q₁₆	—	2	1	no	—
381	C₂²×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
382	C₂²×SD₁₆	—	2	2	no	—
383	C₂²×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
384	C₂²×D₈	—	2	1	no	—
385	C₂²×D₈	C₂²×C₁₁	1	1	yes	characteristic
386	C₂×#131	C₂²×C₁₁	1	1	yes	characteristic
387	C₂×#131	C₂²×C₁₁	1	2	yes	complemented
388	C₂×#131	C₂²×C₁₁	1	1	yes	characteristic, complemented
389	C₂×#124	C₂²×C₁₁	1	2	yes	complemented
390	#495	C₂²×C₁₁	1	8	yes	complemented
391	#473	C₂²×C₁₁	1	8	yes	complemented
392	#472	C₂²×C₁₁	1	8	yes	complemented
393	#471	C₂²×C₁₁	1	16	yes	complemented
394	#455	C₂²×C₁₁	1	16	yes	complemented
395	#454	C₂²×C₁₁	1	16	yes	complemented
396	#443	C₂²×C₁₁	1	8	yes	complemented
397	#443	C₂²×C₁₁	1	8	yes	complemented
398	C₂×#108	C₂²×C₁₁	1	1	yes	characteristic, complemented
399	C₂×#108	C₂²×C₁₁	1	1	yes	characteristic, complemented
400	C₂×#104	C₂²×C₁₁	1	1	yes	characteristic
401	C₂×#104	C₂²×C₁₁	1	2	yes	complemented
402	C₂×#104	C₂²×C₁₁	1	1	yes	characteristic, complemented
403	C₂×#101	C₂²×C₁₁	1	2	yes	complemented
404	C₂×#100	C₂²×C₁₁	1	2	yes	complemented
405	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
406	C₂²×C₁₁	—	2	2	no	—
407	C₂²×C₁₁	—	2	2	no	—
408	C₂²×C₁₁	—	2	4	no	—
409	C₂²×C₁₁	—	2	2	no	—
410	C₂²×C₁₁	—	4	2	no	—
411	C₂²×C₁₁	—	4	4	no	—
412	C₂²×C₁₁	—	4	2	no	—
413	C₂²×C₁₁	—	4	4	no	—
414	C₂²×C₁₁	—	8	4	no	—
415	C₂²×C₁₁	—	8	4	no	—
416	C₂²×C₁₁	—	16	2	no	—
417	C₂²×C₁₁	—	16	8	no	—
418	C₂²×C₁₁	D₄²	1	1	yes	characteristic
419	C₂²×C₁₁	D₄²	1	1	yes	characteristic
420	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
421	C₄×C₁₁	—	2	2	no	—
422	C₄×C₁₁	—	2	4	no	—
423	C₄×C₁₁	—	2	2	no	—
424	C₄×C₁₁	—	4	2	no	—
425	C₄×C₁₁	—	4	4	no	—
426	C₄×C₁₁	D₄²	1	1	yes	characteristic
427	C₄×C₁₁	D₄²	1	1	yes	characteristic
428	C₄×C₁₁	C₂³×D₄	1	1	yes	characteristic
429	C₄×C₁₁	C₂³×D₄	1	1	yes	characteristic
430	2₋¹⁺⁴	—	2	4	no	—
431	2₋¹⁺⁴	—	2	4	no	—
432	2₋¹⁺⁴	—	4	2	no	—
433	2₋¹⁺⁴	C₂³×C₁₁	1	8	yes	complemented
434	H(5,𝔽₂)	—	2	4	no	—
435	H(5,𝔽₂)	—	2	4	no	—
436	H(5,𝔽₂)	—	4	2	no	—
437	H(5,𝔽₂)	C₂³×C₁₁	1	8	yes	—
438	C₂×#41	—	2	2	no	—
439	C₂×#41	—	2	2	no	—
440	C₂×#41	—	2	2	no	—
441	C₂×#41	—	2	2	no	—
442	C₂×#41	—	4	2	no	—
443	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
444	C₂×#41	C₂³×C₁₁	1	2	yes	—
445	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
446	C₂²×Q₈	—	2	2	no	—
447	C₂²×Q₈	—	2	2	no	—
448	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
449	C₂²×D₄	—	2	2	no	—
450	C₂²×D₄	—	2	2	no	—
451	C₂²×D₄	—	4	2	no	—
452	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
453	#137	—	2	4	no	—
454	#137	—	2	4	no	—
455	#137	—	2	16	no	—
456	#137	—	2	16	no	—
457	#137	C₂³×C₁₁	1	8	yes	—
458	#137	C₂³×C₁₁	1	8	yes	complemented
459	AGL(1,ℤ/8)	—	2	4	no	—
460	AGL(1,ℤ/8)	—	2	4	no	—
461	AGL(1,ℤ/8)	—	2	16	no	—
462	AGL(1,ℤ/8)	—	2	16	no	—
463	AGL(1,ℤ/8)	C₂³×C₁₁	1	8	yes	—
464	AGL(1,ℤ/8)	C₂³×C₁₁	1	8	yes	complemented
465	#135	—	2	8	no	—
466	#135	—	2	16	no	—
467	#135	—	2	8	no	—
468	#135	D₄×C₁₁	1	4	yes	—
469	#135	D₄×C₁₁	1	4	yes	—
470	#135	C₂³×C₁₁	1	4	yes	—
471	#135	C₂³×C₁₁	1	4	yes	—
472	C₂×Q₁₆	—	2	2	no	—
473	C₂×Q₁₆	—	2	2	no	—
474	C₂×Q₁₆	—	2	8	no	—
475	C₂×Q₁₆	—	2	1	no	—
476	C₂×Q₁₆	—	2	1	no	—
477	C₂×Q₁₆	—	2	2	no	—
478	C₂×Q₁₆	D₄×C₁₁	1	1	yes	characteristic
479	C₂×Q₁₆	D₄×C₁₁	1	1	yes	characteristic
480	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	complemented
481	C₂×SD₁₆	—	2	2	no	—
482	C₂×SD₁₆	—	2	2	no	—
483	C₂×SD₁₆	—	2	2	no	—
484	C₂×SD₁₆	—	2	2	no	—
485	C₂×SD₁₆	—	2	16	no	—
486	C₂×SD₁₆	—	2	2	no	—
487	C₂×SD₁₆	—	2	2	no	—
488	C₂×SD₁₆	—	2	4	no	—
489	C₂×SD₁₆	D₄×C₁₁	1	1	yes	characteristic
490	C₂×SD₁₆	D₄×C₁₁	1	1	yes	characteristic
491	C₂×SD₁₆	D₄×C₁₁	1	2	yes	—
492	C₂×SD₁₆	C₂³×C₁₁	1	8	yes	complemented
493	C₂×D₈	—	2	2	no	—
494	C₂×D₈	—	2	2	no	—
495	C₂×D₈	—	2	8	no	—
496	C₂×D₈	—	2	1	no	—
497	C₂×D₈	—	2	1	no	—
498	C₂×D₈	—	2	2	no	—
499	C₂×D₈	D₄×C₁₁	1	1	yes	characteristic
500	C₂×D₈	D₄×C₁₁	1	1	yes	characteristic
501	C₂×D₈	C₂³×C₁₁	1	4	yes	—
502	#131	—	2	2	no	—
503	#131	—	2	4	no	—
504	#131	—	2	2	no	—
505	#131	C₂³×C₁₁	1	4	yes	—
506	#131	C₂³×C₁₁	1	8	yes	complemented
507	#131	C₂³×C₁₁	1	4	yes	complemented
508	C₂×M₁₆	—	2	1	no	—
509	C₂×M₁₆	—	2	2	no	—
510	C₂×M₁₆	—	2	1	no	—
511	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
512	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
513	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
514	C₂²×C₈	—	2	1	no	—
515	C₂²×C₈	—	2	2	no	—
516	C₂²×C₈	—	2	1	no	—
517	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
518	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
519	#124	—	4	2	no	—
520	#124	C₂³×C₁₁	1	8	yes	complemented
521	C₂×C₂²⋊C₄	—	4	2	no	—
522	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
523	#108	C₂³×C₁₁	1	4	yes	complemented
524	#108	C₂³×C₁₁	1	4	yes	complemented
525	#104	C₂³×C₁₁	1	4	yes	—
526	#104	C₂³×C₁₁	1	4	yes	complemented
527	#104	C₂³×C₁₁	1	8	yes	complemented
528	#101	C₂³×C₁₁	1	8	yes	complemented
529	#100	C₂³×C₁₁	1	8	yes	complemented
530	C₄×C₈	C₂³×C₁₁	1	4	yes	complemented
531	C₂×C₁₁	—	2	1	no	—
532	C₂×C₁₁	—	2	1	no	—
533	C₂×C₁₁	—	4	2	no	—
534	C₂×C₁₁	—	4	4	no	—
535	C₂×C₁₁	—	4	2	no	—
536	C₂×C₁₁	—	8	4	no	—
537	C₂×C₁₁	#3290	1	2	yes	direct product factor
538	C₂×C₁₁	C₂×D₄²	1	1	yes	characteristic
539	C₂⁴	—	2	2	no	—
540	C₂⁴	—	4	2	no	—
541	#41	—	2	1	no	—
542	#41	—	2	2	no	—
543	#41	—	2	1	no	—
544	#41	—	2	1	no	—
545	#41	—	2	2	no	—
546	#41	—	2	1	no	—
547	#41	—	2	8	no	—
548	#41	—	2	8	no	—
549	#41	—	2	8	no	—
550	#41	—	2	8	no	—
551	#41	—	4	8	no	—
552	#41	—	4	4	no	—
553	#41	—	4	4	no	—
554	#41	—	4	4	no	—
555	#41	—	4	4	no	—
556	#41	—	4	8	no	—
557	#41	C₂×D₄×C₁₁	1	2	yes	—
558	#41	C₂×D₄×C₁₁	1	4	yes	—
559	#41	C₂×D₄×C₁₁	1	2	yes	—
560	#41	C₂⁴×C₁₁	1	2	yes	—
561	#41	C₂⁴×C₁₁	1	4	yes	—
562	#41	C₂⁴×C₁₁	1	2	yes	—
563	C₂×Q₈	—	2	2	no	—
564	C₂×Q₈	—	2	8	no	—
565	C₂×Q₈	—	2	8	no	—
566	C₂×Q₈	—	2	2	no	—
567	C₂×Q₈	—	2	2	no	—
568	C₂×Q₈	—	2	2	no	—
569	C₂×Q₈	—	2	2	no	—
570	C₂×Q₈	—	4	2	no	—
571	C₂×Q₈	—	4	4	no	—
572	C₂×Q₈	—	4	4	no	—
573	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
574	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
575	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
576	C₂×Q₈	C₂⁴×C₁₁	1	4	yes	—
577	C₂×D₄	—	2	1	no	—
578	C₂×D₄	—	2	2	no	—
579	C₂×D₄	—	2	1	no	—
580	C₂×D₄	—	2	8	no	—
581	C₂×D₄	—	2	8	no	—
582	C₂×D₄	—	2	2	no	—
583	C₂×D₄	—	2	2	no	—
584	C₂×D₄	—	2	2	no	—
585	C₂×D₄	—	2	2	no	—
586	C₂×D₄	—	2	2	no	—
587	C₂×D₄	—	4	4	no	—
588	C₂×D₄	—	4	4	no	—
589	C₂×D₄	—	4	2	no	—
590	C₂×D₄	—	4	2	no	—
591	C₂×D₄	—	4	8	no	—
592	C₂×D₄	—	4	8	no	—
593	C₂×D₄	—	4	2	no	—
594	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
595	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
596	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
597	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
598	C₂²×C₄	—	2	1	no	—
599	C₂²×C₄	—	2	2	no	—
600	C₂²×C₄	—	2	1	no	—
601	C₂²×C₄	—	2	1	no	—
602	C₂²×C₄	—	2	2	no	—
603	C₂²×C₄	—	4	2	no	—
604	C₂²×C₄	—	4	2	no	—
605	C₂²×C₄	—	4	2	no	—
606	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
607	Q₁₆	—	2	8	no	—
608	Q₁₆	—	2	8	no	—
609	Q₁₆	—	2	4	no	—
610	Q₁₆	—	2	4	no	—
611	Q₁₆	C₂×D₄×C₁₁	1	4	yes	—
612	Q₁₆	C₂×D₄×C₁₁	1	4	yes	—
613	SD₁₆	—	2	8	no	—
614	SD₁₆	—	2	8	no	—
615	SD₁₆	—	2	8	no	—
616	SD₁₆	—	2	8	no	—
617	SD₁₆	—	2	8	no	—
618	SD₁₆	—	2	8	no	—
619	SD₁₆	C₂×D₄×C₁₁	1	4	yes	—
620	SD₁₆	C₂×D₄×C₁₁	1	4	yes	—
621	SD₁₆	C₂×D₄×C₁₁	1	8	yes	—
622	D₈	—	2	8	no	—
623	D₈	—	2	8	no	—
624	D₈	—	2	4	no	—
625	D₈	—	2	4	no	—
626	D₈	C₂×D₄×C₁₁	1	4	yes	—
627	D₈	C₂×D₄×C₁₁	1	4	yes	—
628	M₁₆	—	2	1	no	—
629	M₁₆	—	2	2	no	—
630	M₁₆	—	2	1	no	—
631	M₁₆	—	2	4	no	—
632	M₁₆	—	2	8	no	—
633	M₁₆	—	2	4	no	—
634	M₁₆	C₂⁴×C₁₁	1	2	yes	—
635	M₁₆	C₂⁴×C₁₁	1	4	yes	—
636	M₁₆	C₂⁴×C₁₁	1	2	yes	—
637	C₂×C₈	—	2	1	no	—
638	C₂×C₈	—	2	2	no	—
639	C₂×C₈	—	2	1	no	—
640	C₂×C₈	—	2	4	no	—
641	C₂×C₈	—	2	8	no	—
642	C₂×C₈	—	2	4	no	—
643	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
644	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
645	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
646	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
647	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
648	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
649	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
650	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
651	C₂²⋊C₄	—	4	8	no	—
652	C₄²	—	2	1	no	—
653	C₄²	C₂⁴×C₁₁	1	2	yes	—
654	C₁₁	C₂×#3290	1	1	yes	characteristic, direct product factor, Sylow
655	C₂³	—	2	1	no	—
656	C₂³	—	2	2	no	—
657	C₂³	—	2	1	no	—
658	C₂³	—	2	4	no	—
659	C₂³	—	4	8	no	—
660	C₂³	—	4	2	no	—
661	C₂³	—	4	2	no	—
662	C₂³	—	8	4	no	—
663	C₂³	—	16	4	no	—
664	C₂³	C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
665	Q₈	—	2	1	no	—
666	Q₈	—	2	2	no	—
667	Q₈	—	2	1	no	—
668	Q₈	—	2	4	no	—
669	Q₈	—	2	4	no	—
670	Q₈	—	4	8	no	—
671	Q₈	—	4	2	no	—
672	Q₈	—	4	2	no	—
673	Q₈	C₂²×D₄×C₁₁	1	2	yes	—
674	Q₈	C₂²×D₄×C₁₁	1	4	yes	—
675	Q₈	C₂²×D₄×C₁₁	1	2	yes	—
676	D₄	—	2	2	no	—
677	D₄	—	2	4	no	—
678	D₄	—	2	2	no	—
679	D₄	—	2	2	no	—
680	D₄	—	2	4	no	—
681	D₄	—	2	2	no	—
682	D₄	—	2	1	no	—
683	D₄	—	2	2	no	—
684	D₄	—	2	1	no	—
685	D₄	—	2	4	no	—
686	D₄	—	2	4	no	—
687	D₄	—	4	8	no	—
688	D₄	—	4	8	no	—
689	D₄	—	4	8	no	—
690	D₄	—	4	2	no	—
691	D₄	—	4	2	no	—
692	D₄	C₂²×D₄×C₁₁	1	2	yes	—
693	D₄	C₂²×D₄×C₁₁	1	4	yes	—
694	D₄	C₂²×D₄×C₁₁	1	2	yes	—
695	C₂×C₄	—	2	1	no	—
696	C₂×C₄	—	2	2	no	—
697	C₂×C₄	—	2	1	no	—
698	C₂×C₄	—	2	2	no	—
699	C₂×C₄	—	2	4	no	—
700	C₂×C₄	—	2	2	no	—
701	C₂×C₄	—	2	2	no	—
702	C₂×C₄	—	2	4	no	—
703	C₂×C₄	—	2	2	no	—
704	C₂×C₄	—	2	2	no	—
705	C₂×C₄	—	2	4	no	—
706	C₂×C₄	—	4	8	no	—
707	C₂×C₄	—	4	8	no	—
708	C₂×C₄	—	4	8	no	—
709	C₂×C₄	—	4	2	no	—
710	C₂×C₄	—	4	2	no	—
711	C₂×C₄	—	4	2	no	—
712	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
713	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
714	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
715	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
716	C₂×C₄	C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
717	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
718	C₈	—	2	2	no	—
719	C₈	—	2	4	no	—
720	C₈	—	2	2	no	—
721	C₈	C₂²×D₄×C₁₁	1	2	yes	—
722	C₈	C₂²×D₄×C₁₁	1	2	yes	—
723	C₈	C₂²×D₄×C₁₁	1	2	yes	—
724	C₈	C₂²×D₄×C₁₁	1	2	yes	—
725	C₂²	—	2	2	no	—
726	C₂²	—	2	2	no	—
727	C₂²	—	2	4	no	—
728	C₂²	—	2	2	no	—
729	C₂²	—	4	2	no	—
730	C₂²	—	4	4	no	—
731	C₂²	—	4	2	no	—
732	C₂²	—	4	4	no	—
733	C₂²	—	8	4	no	—
734	C₂²	—	8	4	no	—
735	C₂²	—	16	2	no	—
736	C₂²	—	16	8	no	—
737	C₂²	D₄²×C₁₁	1	1	yes	characteristic
738	C₂²	D₄²×C₁₁	1	1	yes	characteristic
739	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
740	C₄	—	2	2	no	—
741	C₄	—	2	4	no	—
742	C₄	—	2	2	no	—
743	C₄	—	4	2	no	—
744	C₄	—	4	4	no	—
745	C₄	D₄²×C₁₁	1	1	yes	characteristic
746	C₄	D₄²×C₁₁	1	1	yes	characteristic
747	C₄	C₂³×D₄×C₁₁	1	1	yes	characteristic
748	C₄	C₂³×D₄×C₁₁	1	1	yes	characteristic
749	C₂	—	2	1	no	—
750	C₂	—	2	1	no	—
751	C₂	—	4	2	no	—
752	C₂	—	4	4	no	—
753	C₂	—	4	2	no	—
754	C₂	—	8	4	no	—
755	C₂	C₁₁×#3290	1	2	yes	direct product factor
756	C₂	C₂×D₄²×C₁₁	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	D₄²
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₂²×C₄×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₁×#578	C₂	semidirect
2. C₂×C₁₁×#577	C₂	semidirect
3. C₂×C₁₁×#576	C₂	semidirect
4. C₁₁×#3290	C₂	direct (N × H)
5. C₂×C₁₁×#495	C₂	semidirect
6. C₂×C₁₁×#473	C₂	semidirect
7. C₂×C₁₁×#472	C₂	semidirect
8. C₂×C₁₁×#471	C₂	semidirect
9. C₂×C₁₁×#454	C₂	semidirect
10. C₂×C₁₁×#455	C₂	semidirect
11. C₂×C₁₁×#443	C₂	semidirect
12. C₂×C₁₁×#443	C₂	semidirect
13. C₂×C₁₁×2₋¹⁺⁴	C₂²	semidirect
16. C₁₁×#578	C₂²	semidirect
18. C₁₁×#577	C₂²	semidirect
20. C₁₁×#576	C₂²	semidirect
24. C₂×C₁₁×#137	C₂²	semidirect
28. C₂×C₁₁×AGL(1,ℤ/8)	C₂²	semidirect
35. C₂²×C₁₁×Q₁₆	C₂²	semidirect
37. C₂²×C₁₁×SD₁₆	C₂²	semidirect
41. C₂×C₁₁×#131	C₂²	semidirect
42. C₂×C₁₁×#131	C₂²	semidirect
43. C₂×C₁₁×#124	C₂²	semidirect
44. C₁₁×#495	C₂²	semidirect
45. C₁₁×#473	C₂²	semidirect
46. C₁₁×#472	C₂²	semidirect
47. C₁₁×#471	C₂²	semidirect
48. C₁₁×#455	C₂²	semidirect
49. C₁₁×#454	C₂²	semidirect
50. C₁₁×#443	C₂²	semidirect
51. C₁₁×#443	C₂²	semidirect
52. C₂×C₁₁×#108	C₂²	semidirect
53. C₂×C₁₁×#108	C₂²	semidirect
55. C₂×C₁₁×#104	C₂²	semidirect
56. C₂×C₁₁×#104	C₂²	semidirect
57. C₂×C₁₁×#101	C₂²	semidirect
58. C₂×C₁₁×#100	C₂²	semidirect
59. C₂×C₄×C₈×C₁₁	C₂²	semidirect
63. C₁₁×2₋¹⁺⁴	C₂³	semidirect
88. C₁₁×#137	C₂³	semidirect
94. C₁₁×AGL(1,ℤ/8)	C₂³	semidirect
110. C₂×C₁₁×Q₁₆	C₂³	semidirect
122. C₂×C₁₁×SD₁₆	C₂³	semidirect
136. C₁₁×#131	C₂³	semidirect
137. C₁₁×#131	C₂³	semidirect
150. C₁₁×#124	C₂³	semidirect
153. C₁₁×#108	C₂³	semidirect
154. C₁₁×#108	C₂³	semidirect
156. C₁₁×#104	C₂³	semidirect
157. C₁₁×#104	C₂³	semidirect
158. C₁₁×#101	C₂³	semidirect
159. C₁₁×#100	C₂³	semidirect
160. C₄×C₈×C₁₁	C₂³	semidirect
161. C₂×#3290	C₁₁	direct (N × H)
277. C₂×#578	C₂×C₁₁	semidirect
278. C₂×#577	C₂×C₁₁	semidirect
279. C₂×#576	C₂×C₁₁	semidirect
280. #3290	C₂×C₁₁	direct (N × H)
281. C₂×#495	C₂×C₁₁	semidirect
282. C₂×#473	C₂×C₁₁	semidirect
283. C₂×#472	C₂×C₁₁	semidirect
284. C₂×#471	C₂×C₁₁	semidirect
285. C₂×#454	C₂×C₁₁	semidirect
286. C₂×#455	C₂×C₁₁	semidirect
287. C₂×#443	C₂×C₁₁	semidirect
288. C₂×#443	C₂×C₁₁	semidirect
359. C₂×2₋¹⁺⁴	C₂²×C₁₁	semidirect
362. #578	C₂²×C₁₁	semidirect
364. #577	C₂²×C₁₁	semidirect
366. #576	C₂²×C₁₁	semidirect
370. C₂×#137	C₂²×C₁₁	semidirect
374. C₂×AGL(1,ℤ/8)	C₂²×C₁₁	semidirect
381. C₂²×Q₁₆	C₂²×C₁₁	semidirect
383. C₂²×SD₁₆	C₂²×C₁₁	semidirect
387. C₂×#131	C₂²×C₁₁	semidirect
388. C₂×#131	C₂²×C₁₁	semidirect
389. C₂×#124	C₂²×C₁₁	semidirect
390. #495	C₂²×C₁₁	semidirect
391. #473	C₂²×C₁₁	semidirect
392. #472	C₂²×C₁₁	semidirect
393. #471	C₂²×C₁₁	semidirect
394. #455	C₂²×C₁₁	semidirect
395. #454	C₂²×C₁₁	semidirect
396. #443	C₂²×C₁₁	semidirect
397. #443	C₂²×C₁₁	semidirect
398. C₂×#108	C₂²×C₁₁	semidirect
399. C₂×#108	C₂²×C₁₁	semidirect
401. C₂×#104	C₂²×C₁₁	semidirect
402. C₂×#104	C₂²×C₁₁	semidirect
403. C₂×#101	C₂²×C₁₁	semidirect
404. C₂×#100	C₂²×C₁₁	semidirect
405. C₂×C₄×C₈	C₂²×C₁₁	semidirect
433. 2₋¹⁺⁴	C₂³×C₁₁	semidirect
458. #137	C₂³×C₁₁	semidirect
464. AGL(1,ℤ/8)	C₂³×C₁₁	semidirect
480. C₂×Q₁₆	C₂³×C₁₁	semidirect
492. C₂×SD₁₆	C₂³×C₁₁	semidirect
506. #131	C₂³×C₁₁	semidirect
507. #131	C₂³×C₁₁	semidirect
520. #124	C₂³×C₁₁	semidirect
523. #108	C₂³×C₁₁	semidirect
524. #108	C₂³×C₁₁	semidirect
526. #104	C₂³×C₁₁	semidirect
527. #104	C₂³×C₁₁	semidirect
528. #101	C₂³×C₁₁	semidirect
529. #100	C₂³×C₁₁	semidirect
530. C₄×C₈	C₂³×C₁₁	semidirect
537. C₂×C₁₁	#3290	direct (N × H)
654. C₁₁	C₂×#3290	direct (N × H)
755. C₂	C₁₁×#3290	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×#578	2
C₂×C₁₁×#577	2
C₂×C₁₁×#576	2
C₁₁×#3290	2
C₂×C₁₁×#495	2
C₂×C₁₁×#473	2
C₂×C₁₁×#472	2
C₂×C₁₁×#471	2
C₂×C₁₁×#454	2
C₂×C₁₁×#455	2
C₂×C₁₁×#443	2
C₂×#3290	11

Subgroups — C2×C11×#3290 #14638294

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₁×#3290 #14638294