Subgroups — C₂×C₁₁×#3288 #14638291

Order 2816.

2704 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#577	C₂	1	2	yes	maximal, complemented
2	C₂×C₁₁×#576	C₂	1	2	yes	maximal, complemented
3	C₁₁×#3288	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₁₁×#496	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₁×#472	C₂	1	2	yes	maximal, complemented
6	C₂×C₁₁×#471	C₂	1	2	yes	maximal, complemented
7	C₂×C₁₁×#454	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₁×#455	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₁×#453	C₂	1	2	yes	maximal, complemented
10	C₂×C₁₁×#444	C₂	1	2	yes	maximal, complemented
11	C₂×C₁₁×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
12	C₂×C₁₁×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
13	C₂×C₁₁×H(5,𝔽₂)	C₂²	1	2	yes	complemented
14	C₁₁×#577	—	2	8	no	—
15	C₁₁×#577	C₂²	1	16	yes	complemented
16	C₁₁×#576	—	2	8	no	—
17	C₁₁×#576	C₂²	1	16	yes	complemented
18	C₂×C₁₁×#137	—	2	2	no	—
19	C₂×C₁₁×#137	C₂²	1	2	yes	complemented
20	C₂×C₁₁×AGL(1,ℤ/8)	—	2	2	no	—
21	C₂×C₁₁×AGL(1,ℤ/8)	—	2	2	no	—
22	C₂×C₁₁×AGL(1,ℤ/8)	—	2	2	no	—
23	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	—
24	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
25	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
26	C₂×C₁₁×#135	—	2	2	no	—
27	C₂×C₁₁×#135	—	2	2	no	—
28	C₂×C₁₁×#135	C₂²	1	2	yes	—
29	C₂²×C₁₁×SD₁₆	—	2	2	no	—
30	C₂²×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
31	C₂²×C₁₁×D₈	—	2	2	no	—
32	C₂²×C₁₁×D₈	C₂²	1	2	yes	complemented
33	C₂×C₁₁×#131	C₂²	1	2	yes	complemented
34	C₂×C₁₁×#131	C₂²	1	2	yes	complemented
35	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₁×#124	C₂²	1	1	yes	characteristic, complemented
37	C₁₁×#496	C₂²	1	8	yes	complemented
38	C₁₁×#472	C₂²	1	16	yes	complemented
39	C₁₁×#471	C₂²	1	16	yes	complemented
40	C₁₁×#455	C₂²	1	8	yes	complemented
41	C₁₁×#454	C₂²	1	8	yes	complemented
42	C₁₁×#453	C₂²	1	16	yes	complemented
43	C₁₁×#444	C₂²	1	16	yes	complemented
44	C₂×C₁₁×#108	C₂²	1	2	yes	complemented
45	C₂×C₁₁×#104	C₂²	1	2	yes	complemented
46	C₂×C₁₁×#104	C₂²	1	2	yes	complemented
47	C₂×C₁₁×#101	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₁₁×#100	C₂²	1	2	yes	complemented
49	C₂×C₁₁×#100	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₁₁×#97	C₂²	1	1	yes	characteristic, complemented
51	C₁₁×2₋¹⁺⁴	—	2	4	no	—
52	C₁₁×2₋¹⁺⁴	—	4	1	no	—
53	C₁₁×2₋¹⁺⁴	C₂³	1	4	yes	complemented
54	C₁₁×H(5,𝔽₂)	—	2	4	no	—
55	C₁₁×H(5,𝔽₂)	—	2	4	no	—
56	C₁₁×H(5,𝔽₂)	—	2	4	no	—
57	C₁₁×H(5,𝔽₂)	—	4	1	no	—
58	C₁₁×H(5,𝔽₂)	—	4	2	no	—
59	C₁₁×H(5,𝔽₂)	C₂³	1	4	yes	—
60	C₁₁×H(5,𝔽₂)	C₂³	1	8	yes	complemented
61	C₂×C₁₁×#41	—	2	2	no	—
62	C₂×C₁₁×#41	—	2	2	no	—
63	C₂×C₁₁×#41	—	2	2	no	—
64	C₂×C₁₁×#41	—	2	2	no	—
65	C₂×C₁₁×#41	—	4	1	no	—
66	C₂×C₁₁×#41	C₂³	1	2	yes	—
67	C₂×C₁₁×#41	C₂³	1	2	yes	—
68	C₂²×Q₈×C₁₁	—	2	2	no	—
69	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
70	C₂²×D₄×C₁₁	—	2	2	no	—
71	C₂²×D₄×C₁₁	—	2	2	no	—
72	C₂²×D₄×C₁₁	—	2	2	no	—
73	C₂²×D₄×C₁₁	—	4	1	no	—
74	C₂²×D₄×C₁₁	—	4	1	no	—
75	C₂²×D₄×C₁₁	—	4	2	no	—
76	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
77	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
78	C₁₁×#137	—	2	4	no	—
79	C₁₁×#137	—	2	16	no	—
80	C₁₁×#137	C₂³	1	8	yes	complemented
81	C₁₁×AGL(1,ℤ/8)	—	2	4	no	—
82	C₁₁×AGL(1,ℤ/8)	—	2	4	no	—
83	C₁₁×AGL(1,ℤ/8)	—	2	4	no	—
84	C₁₁×AGL(1,ℤ/8)	—	2	16	no	—
85	C₁₁×AGL(1,ℤ/8)	—	2	16	no	—
86	C₁₁×AGL(1,ℤ/8)	—	2	16	no	—
87	C₁₁×AGL(1,ℤ/8)	C₂³	1	8	yes	—
88	C₁₁×AGL(1,ℤ/8)	C₂³	1	8	yes	complemented
89	C₁₁×AGL(1,ℤ/8)	C₂³	1	8	yes	complemented
90	C₁₁×#135	—	2	16	no	—
91	C₁₁×#135	—	2	16	no	—
92	C₁₁×#135	D₄	1	8	yes	complemented
93	C₁₁×#135	C₂³	1	8	yes	—
94	C₂×C₁₁×Q₁₆	—	2	2	no	—
95	C₂×C₁₁×Q₁₆	D₄	1	2	yes	complemented
96	C₂×C₁₁×SD₁₆	—	2	2	no	—
97	C₂×C₁₁×SD₁₆	—	2	2	no	—
98	C₂×C₁₁×SD₁₆	—	2	2	no	—
99	C₂×C₁₁×SD₁₆	—	2	2	no	—
100	C₂×C₁₁×SD₁₆	—	2	16	no	—
101	C₂×C₁₁×SD₁₆	—	2	2	no	—
102	C₂×C₁₁×SD₁₆	—	2	2	no	—
103	C₂×C₁₁×SD₁₆	—	2	4	no	—
104	C₂×C₁₁×SD₁₆	D₄	1	2	yes	complemented
105	C₂×C₁₁×SD₁₆	D₄	1	2	yes	complemented
106	C₂×C₁₁×SD₁₆	C₂³	1	8	yes	complemented
107	C₂×C₁₁×D₈	—	2	2	no	—
108	C₂×C₁₁×D₈	—	2	2	no	—
109	C₂×C₁₁×D₈	—	2	2	no	—
110	C₂×C₁₁×D₈	—	2	16	no	—
111	C₂×C₁₁×D₈	—	2	2	no	—
112	C₂×C₁₁×D₈	—	2	2	no	—
113	C₂×C₁₁×D₈	—	2	4	no	—
114	C₂×C₁₁×D₈	D₄	1	2	yes	complemented
115	C₂×C₁₁×D₈	C₂³	1	8	yes	complemented
116	C₁₁×#131	—	2	4	no	—
117	C₁₁×#131	—	2	4	no	—
118	C₁₁×#131	C₂³	1	8	yes	complemented
119	C₁₁×#131	C₂³	1	8	yes	complemented
120	C₂×C₁₁×M₁₆	—	2	2	no	—
121	C₂×C₁₁×M₁₆	—	2	2	no	—
122	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
123	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
124	C₂²×C₈×C₁₁	—	2	2	no	—
125	C₂²×C₈×C₁₁	—	2	2	no	—
126	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
127	C₁₁×#127	—	4	1	no	—
128	C₁₁×#127	C₂³	1	4	yes	complemented
129	C₁₁×#124	—	4	1	no	—
130	C₁₁×#124	C₂³	1	4	yes	complemented
131	C₂×C₁₁×C₂²⋊C₄	—	4	1	no	—
132	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
133	C₁₁×#108	C₂³	1	8	yes	complemented
134	C₁₁×#104	C₂³	1	8	yes	complemented
135	C₁₁×#104	C₂³	1	8	yes	complemented
136	C₁₁×#101	C₂³	1	4	yes	complemented
137	C₁₁×#100	C₂³	1	8	yes	complemented
138	C₁₁×#100	C₂³	1	4	yes	complemented
139	C₁₁×#97	C₂³	1	4	yes	complemented
140	C₂×#3288	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
141	C₂⁴×C₁₁	—	2	1	no	—
142	C₂⁴×C₁₁	—	2	2	no	—
143	C₂⁴×C₁₁	—	4	2	no	—
144	C₂⁴×C₁₁	—	4	1	no	—
145	C₁₁×#41	—	2	2	no	—
146	C₁₁×#41	—	2	2	no	—
147	C₁₁×#41	—	2	2	no	—
148	C₁₁×#41	—	2	2	no	—
149	C₁₁×#41	—	2	8	no	—
150	C₁₁×#41	—	2	8	no	—
151	C₁₁×#41	—	2	8	no	—
152	C₁₁×#41	—	2	8	no	—
153	C₁₁×#41	—	4	4	no	—
154	C₁₁×#41	—	4	4	no	—
155	C₁₁×#41	—	4	4	no	—
156	C₁₁×#41	—	4	4	no	—
157	C₁₁×#41	—	4	4	no	—
158	C₁₁×#41	—	4	4	no	—
159	C₁₁×#41	C₂×D₄	1	4	yes	—
160	C₁₁×#41	C₂×D₄	1	4	yes	—
161	C₁₁×#41	C₂⁴	1	4	yes	—
162	C₁₁×#41	C₂⁴	1	4	yes	—
163	C₂×Q₈×C₁₁	—	2	1	no	—
164	C₂×Q₈×C₁₁	—	2	8	no	—
165	C₂×Q₈×C₁₁	—	2	2	no	—
166	C₂×Q₈×C₁₁	—	2	2	no	—
167	C₂×Q₈×C₁₁	—	4	1	no	—
168	C₂×Q₈×C₁₁	—	4	4	no	—
169	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
170	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
171	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
172	C₂×D₄×C₁₁	—	2	2	no	—
173	C₂×D₄×C₁₁	—	2	2	no	—
174	C₂×D₄×C₁₁	—	2	8	no	—
175	C₂×D₄×C₁₁	—	2	8	no	—
176	C₂×D₄×C₁₁	—	2	8	no	—
177	C₂×D₄×C₁₁	—	2	2	no	—
178	C₂×D₄×C₁₁	—	2	2	no	—
179	C₂×D₄×C₁₁	—	2	2	no	—
180	C₂×D₄×C₁₁	—	2	2	no	—
181	C₂×D₄×C₁₁	—	2	2	no	—
182	C₂×D₄×C₁₁	—	2	2	no	—
183	C₂×D₄×C₁₁	—	2	1	no	—
184	C₂×D₄×C₁₁	—	2	2	no	—
185	C₂×D₄×C₁₁	—	4	4	no	—
186	C₂×D₄×C₁₁	—	4	4	no	—
187	C₂×D₄×C₁₁	—	4	4	no	—
188	C₂×D₄×C₁₁	—	4	2	no	—
189	C₂×D₄×C₁₁	—	4	2	no	—
190	C₂×D₄×C₁₁	—	4	2	no	—
191	C₂×D₄×C₁₁	—	4	4	no	—
192	C₂×D₄×C₁₁	—	4	4	no	—
193	C₂×D₄×C₁₁	—	4	8	no	—
194	C₂×D₄×C₁₁	—	4	4	no	—
195	C₂×D₄×C₁₁	—	4	8	no	—
196	C₂×D₄×C₁₁	—	4	1	no	—
197	C₂×D₄×C₁₁	—	8	4	no	—
198	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
199	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
200	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
201	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
202	C₂²×C₄×C₁₁	—	2	2	no	—
203	C₂²×C₄×C₁₁	—	2	2	no	—
204	C₂²×C₄×C₁₁	—	2	1	no	—
205	C₂²×C₄×C₁₁	—	2	1	no	—
206	C₂²×C₄×C₁₁	—	4	1	no	—
207	C₂²×C₄×C₁₁	—	4	2	no	—
208	C₂²×C₄×C₁₁	—	4	2	no	—
209	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
210	C₁₁×Q₁₆	—	2	8	no	—
211	C₁₁×Q₁₆	C₂×D₄	1	8	yes	complemented
212	C₁₁×SD₁₆	—	2	8	no	—
213	C₁₁×SD₁₆	—	2	8	no	—
214	C₁₁×SD₁₆	—	2	8	no	—
215	C₁₁×SD₁₆	—	2	8	no	—
216	C₁₁×SD₁₆	—	2	8	no	—
217	C₁₁×SD₁₆	—	2	8	no	—
218	C₁₁×SD₁₆	C₂×D₄	1	8	yes	complemented
219	C₁₁×SD₁₆	C₂×D₄	1	8	yes	complemented
220	C₁₁×D₈	—	2	8	no	—
221	C₁₁×D₈	—	2	8	no	—
222	C₁₁×D₈	—	2	8	no	—
223	C₁₁×D₈	—	2	8	no	—
224	C₁₁×D₈	—	2	8	no	—
225	C₁₁×D₈	C₂×D₄	1	8	yes	complemented
226	C₁₁×M₁₆	—	2	8	no	—
227	C₁₁×M₁₆	—	2	8	no	—
228	C₁₁×M₁₆	—	2	2	no	—
229	C₁₁×M₁₆	—	2	2	no	—
230	C₁₁×M₁₆	C₂⁴	1	4	yes	—
231	C₁₁×M₁₆	C₂⁴	1	4	yes	—
232	C₂×C₈×C₁₁	—	2	8	no	—
233	C₂×C₈×C₁₁	—	2	8	no	—
234	C₂×C₈×C₁₁	—	2	2	no	—
235	C₂×C₈×C₁₁	—	2	2	no	—
236	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
237	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
238	C₂×C₈×C₁₁	C₂×D₄	1	4	yes	—
239	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
240	C₁₁×C₂²⋊C₄	—	4	4	no	—
241	C₄²×C₁₁	—	2	1	no	—
242	C₄²×C₁₁	C₂⁴	1	2	yes	—
243	C₂×#577	C₂×C₁₁	1	2	yes	complemented
244	C₂×#576	C₂×C₁₁	1	2	yes	complemented
245	#3288	C₂×C₁₁	1	16	yes	direct product factor
246	C₂×#496	C₂×C₁₁	1	1	yes	characteristic, complemented
247	C₂×#472	C₂×C₁₁	1	2	yes	complemented
248	C₂×#471	C₂×C₁₁	1	2	yes	complemented
249	C₂×#454	C₂×C₁₁	1	1	yes	characteristic, complemented
250	C₂×#455	C₂×C₁₁	1	1	yes	characteristic, complemented
251	C₂×#453	C₂×C₁₁	1	2	yes	complemented
252	C₂×#444	C₂×C₁₁	1	2	yes	complemented
253	C₂³×C₁₁	—	2	2	no	—
254	C₂³×C₁₁	—	2	2	no	—
255	C₂³×C₁₁	—	2	2	no	—
256	C₂³×C₁₁	—	2	4	no	—
257	C₂³×C₁₁	—	4	8	no	—
258	C₂³×C₁₁	—	4	4	no	—
259	C₂³×C₁₁	—	4	1	no	—
260	C₂³×C₁₁	—	4	2	no	—
261	C₂³×C₁₁	—	4	1	no	—
262	C₂³×C₁₁	—	4	2	no	—
263	C₂³×C₁₁	—	8	4	no	—
264	C₂³×C₁₁	—	8	2	no	—
265	C₂³×C₁₁	—	16	4	no	—
266	C₂³×C₁₁	—	16	2	no	—
267	C₂³×C₁₁	H(5,𝔽₂)	1	1	yes	characteristic
268	Q₈×C₁₁	—	2	2	no	—
269	Q₈×C₁₁	—	2	2	no	—
270	Q₈×C₁₁	—	2	4	no	—
271	Q₈×C₁₁	—	4	4	no	—
272	Q₈×C₁₁	—	4	2	no	—
273	Q₈×C₁₁	C₂²×D₄	1	4	yes	—
274	Q₈×C₁₁	C₂²×D₄	1	4	yes	—
275	D₄×C₁₁	—	2	4	no	—
276	D₄×C₁₁	—	2	4	no	—
277	D₄×C₁₁	—	2	4	no	—
278	D₄×C₁₁	—	2	4	no	—
279	D₄×C₁₁	—	2	2	no	—
280	D₄×C₁₁	—	2	2	no	—
281	D₄×C₁₁	—	2	4	no	—
282	D₄×C₁₁	—	2	4	no	—
283	D₄×C₁₁	—	2	4	no	—
284	D₄×C₁₁	—	4	8	no	—
285	D₄×C₁₁	—	4	8	no	—
286	D₄×C₁₁	—	4	8	no	—
287	D₄×C₁₁	—	4	4	no	—
288	D₄×C₁₁	—	4	2	no	—
289	D₄×C₁₁	—	4	2	no	—
290	D₄×C₁₁	—	4	2	no	—
291	D₄×C₁₁	—	8	8	no	—
292	D₄×C₁₁	C₂²×D₄	1	4	yes	—
293	D₄×C₁₁	C₂²×D₄	1	4	yes	—
294	C₂×C₄×C₁₁	—	2	2	no	—
295	C₂×C₄×C₁₁	—	2	2	no	—
296	C₂×C₄×C₁₁	—	2	4	no	—
297	C₂×C₄×C₁₁	—	2	4	no	—
298	C₂×C₄×C₁₁	—	2	4	no	—
299	C₂×C₄×C₁₁	—	2	4	no	—
300	C₂×C₄×C₁₁	—	2	2	no	—
301	C₂×C₄×C₁₁	—	2	2	no	—
302	C₂×C₄×C₁₁	—	4	4	no	—
303	C₂×C₄×C₁₁	—	4	8	no	—
304	C₂×C₄×C₁₁	—	4	8	no	—
305	C₂×C₄×C₁₁	—	4	2	no	—
306	C₂×C₄×C₁₁	—	4	1	no	—
307	C₂×C₄×C₁₁	—	4	1	no	—
308	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
309	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
310	C₂×C₄×C₁₁	H(5,𝔽₂)	1	1	yes	characteristic
311	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
312	C₈×C₁₁	—	2	4	no	—
313	C₈×C₁₁	—	2	4	no	—
314	C₈×C₁₁	C₂²×D₄	1	4	yes	—
315	C₈×C₁₁	C₂²×D₄	1	4	yes	—
316	C₂×2₋¹⁺⁴	C₂²×C₁₁	1	1	yes	characteristic, complemented
317	C₂×H(5,𝔽₂)	C₂²×C₁₁	1	1	yes	characteristic
318	C₂×H(5,𝔽₂)	C₂²×C₁₁	1	2	yes	complemented
319	#577	—	2	8	no	—
320	#577	C₂²×C₁₁	1	16	yes	complemented
321	#576	—	2	8	no	—
322	#576	C₂²×C₁₁	1	16	yes	complemented
323	C₂×#137	—	2	2	no	—
324	C₂×#137	C₂²×C₁₁	1	2	yes	complemented
325	C₂×AGL(1,ℤ/8)	—	2	2	no	—
326	C₂×AGL(1,ℤ/8)	—	2	2	no	—
327	C₂×AGL(1,ℤ/8)	—	2	2	no	—
328	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	—
329	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	complemented
330	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	complemented
331	C₂×#135	—	2	2	no	—
332	C₂×#135	—	2	2	no	—
333	C₂×#135	C₂²×C₁₁	1	2	yes	—
334	C₂²×SD₁₆	—	2	2	no	—
335	C₂²×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
336	C₂²×D₈	—	2	2	no	—
337	C₂²×D₈	C₂²×C₁₁	1	2	yes	complemented
338	C₂×#131	C₂²×C₁₁	1	2	yes	complemented
339	C₂×#131	C₂²×C₁₁	1	2	yes	complemented
340	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic, complemented
341	C₂×#124	C₂²×C₁₁	1	1	yes	characteristic, complemented
342	#496	C₂²×C₁₁	1	8	yes	complemented
343	#472	C₂²×C₁₁	1	16	yes	complemented
344	#471	C₂²×C₁₁	1	16	yes	complemented
345	#455	C₂²×C₁₁	1	8	yes	complemented
346	#454	C₂²×C₁₁	1	8	yes	complemented
347	#453	C₂²×C₁₁	1	16	yes	complemented
348	#444	C₂²×C₁₁	1	16	yes	complemented
349	C₂×#108	C₂²×C₁₁	1	2	yes	complemented
350	C₂×#104	C₂²×C₁₁	1	2	yes	complemented
351	C₂×#104	C₂²×C₁₁	1	2	yes	complemented
352	C₂×#101	C₂²×C₁₁	1	1	yes	characteristic, complemented
353	C₂×#100	C₂²×C₁₁	1	2	yes	complemented
354	C₂×#100	C₂²×C₁₁	1	1	yes	characteristic, complemented
355	C₂×#97	C₂²×C₁₁	1	1	yes	characteristic, complemented
356	C₂²×C₁₁	—	2	2	no	—
357	C₂²×C₁₁	—	2	4	no	—
358	C₂²×C₁₁	—	2	4	no	—
359	C₂²×C₁₁	—	4	4	no	—
360	C₂²×C₁₁	—	4	4	no	—
361	C₂²×C₁₁	—	4	2	no	—
362	C₂²×C₁₁	—	4	4	no	—
363	C₂²×C₁₁	—	8	4	no	—
364	C₂²×C₁₁	—	8	2	no	—
365	C₂²×C₁₁	—	8	4	no	—
366	C₂²×C₁₁	—	8	2	no	—
367	C₂²×C₁₁	—	16	2	no	—
368	C₂²×C₁₁	—	16	1	no	—
369	C₂²×C₁₁	—	16	8	no	—
370	C₂²×C₁₁	—	16	4	no	—
371	C₂²×C₁₁	D₄²	1	1	yes	characteristic
372	C₂²×C₁₁	D₄²	1	1	yes	characteristic
373	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
374	C₄×C₁₁	—	2	4	no	—
375	C₄×C₁₁	—	2	4	no	—
376	C₄×C₁₁	—	4	2	no	—
377	C₄×C₁₁	—	4	2	no	—
378	C₄×C₁₁	D₄²	1	2	yes	—
379	C₄×C₁₁	C₂³×D₄	1	2	yes	—
380	2₋¹⁺⁴	—	2	4	no	—
381	2₋¹⁺⁴	—	4	1	no	—
382	2₋¹⁺⁴	C₂³×C₁₁	1	4	yes	complemented
383	H(5,𝔽₂)	—	2	4	no	—
384	H(5,𝔽₂)	—	2	4	no	—
385	H(5,𝔽₂)	—	2	4	no	—
386	H(5,𝔽₂)	—	4	1	no	—
387	H(5,𝔽₂)	—	4	2	no	—
388	H(5,𝔽₂)	C₂³×C₁₁	1	4	yes	—
389	H(5,𝔽₂)	C₂³×C₁₁	1	8	yes	complemented
390	C₂×#41	—	2	2	no	—
391	C₂×#41	—	2	2	no	—
392	C₂×#41	—	2	2	no	—
393	C₂×#41	—	2	2	no	—
394	C₂×#41	—	4	1	no	—
395	C₂×#41	C₂³×C₁₁	1	2	yes	—
396	C₂×#41	C₂³×C₁₁	1	2	yes	—
397	C₂²×Q₈	—	2	2	no	—
398	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
399	C₂²×D₄	—	2	2	no	—
400	C₂²×D₄	—	2	2	no	—
401	C₂²×D₄	—	2	2	no	—
402	C₂²×D₄	—	4	1	no	—
403	C₂²×D₄	—	4	1	no	—
404	C₂²×D₄	—	4	2	no	—
405	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
406	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
407	#137	—	2	4	no	—
408	#137	—	2	16	no	—
409	#137	C₂³×C₁₁	1	8	yes	complemented
410	AGL(1,ℤ/8)	—	2	4	no	—
411	AGL(1,ℤ/8)	—	2	4	no	—
412	AGL(1,ℤ/8)	—	2	4	no	—
413	AGL(1,ℤ/8)	—	2	16	no	—
414	AGL(1,ℤ/8)	—	2	16	no	—
415	AGL(1,ℤ/8)	—	2	16	no	—
416	AGL(1,ℤ/8)	C₂³×C₁₁	1	8	yes	—
417	AGL(1,ℤ/8)	C₂³×C₁₁	1	8	yes	complemented
418	AGL(1,ℤ/8)	C₂³×C₁₁	1	8	yes	complemented
419	#135	—	2	16	no	—
420	#135	—	2	16	no	—
421	#135	D₄×C₁₁	1	8	yes	complemented
422	#135	C₂³×C₁₁	1	8	yes	—
423	C₂×Q₁₆	—	2	2	no	—
424	C₂×Q₁₆	D₄×C₁₁	1	2	yes	complemented
425	C₂×SD₁₆	—	2	2	no	—
426	C₂×SD₁₆	—	2	2	no	—
427	C₂×SD₁₆	—	2	2	no	—
428	C₂×SD₁₆	—	2	2	no	—
429	C₂×SD₁₆	—	2	16	no	—
430	C₂×SD₁₆	—	2	2	no	—
431	C₂×SD₁₆	—	2	2	no	—
432	C₂×SD₁₆	—	2	4	no	—
433	C₂×SD₁₆	D₄×C₁₁	1	2	yes	complemented
434	C₂×SD₁₆	D₄×C₁₁	1	2	yes	complemented
435	C₂×SD₁₆	C₂³×C₁₁	1	8	yes	complemented
436	C₂×D₈	—	2	2	no	—
437	C₂×D₈	—	2	2	no	—
438	C₂×D₈	—	2	2	no	—
439	C₂×D₈	—	2	16	no	—
440	C₂×D₈	—	2	2	no	—
441	C₂×D₈	—	2	2	no	—
442	C₂×D₈	—	2	4	no	—
443	C₂×D₈	D₄×C₁₁	1	2	yes	complemented
444	C₂×D₈	C₂³×C₁₁	1	8	yes	complemented
445	#131	—	2	4	no	—
446	#131	—	2	4	no	—
447	#131	C₂³×C₁₁	1	8	yes	complemented
448	#131	C₂³×C₁₁	1	8	yes	complemented
449	C₂×M₁₆	—	2	2	no	—
450	C₂×M₁₆	—	2	2	no	—
451	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
452	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
453	C₂²×C₈	—	2	2	no	—
454	C₂²×C₈	—	2	2	no	—
455	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
456	#127	—	4	1	no	—
457	#127	C₂³×C₁₁	1	4	yes	complemented
458	#124	—	4	1	no	—
459	#124	C₂³×C₁₁	1	4	yes	complemented
460	C₂×C₂²⋊C₄	—	4	1	no	—
461	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
462	#108	C₂³×C₁₁	1	8	yes	complemented
463	#104	C₂³×C₁₁	1	8	yes	complemented
464	#104	C₂³×C₁₁	1	8	yes	complemented
465	#101	C₂³×C₁₁	1	4	yes	complemented
466	#100	C₂³×C₁₁	1	8	yes	complemented
467	#100	C₂³×C₁₁	1	4	yes	complemented
468	#97	C₂³×C₁₁	1	4	yes	complemented
469	C₂×C₁₁	—	2	1	no	—
470	C₂×C₁₁	—	2	1	no	—
471	C₂×C₁₁	—	4	4	no	—
472	C₂×C₁₁	—	4	4	no	—
473	C₂×C₁₁	—	8	4	no	—
474	C₂×C₁₁	—	8	2	no	—
475	C₂×C₁₁	#3288	1	2	yes	direct product factor
476	C₂×C₁₁	C₂×D₄²	1	1	yes	characteristic
477	C₂⁴	—	2	1	no	—
478	C₂⁴	—	2	2	no	—
479	C₂⁴	—	4	2	no	—
480	C₂⁴	—	4	1	no	—
481	#41	—	2	2	no	—
482	#41	—	2	2	no	—
483	#41	—	2	2	no	—
484	#41	—	2	2	no	—
485	#41	—	2	8	no	—
486	#41	—	2	8	no	—
487	#41	—	2	8	no	—
488	#41	—	2	8	no	—
489	#41	—	4	4	no	—
490	#41	—	4	4	no	—
491	#41	—	4	4	no	—
492	#41	—	4	4	no	—
493	#41	—	4	4	no	—
494	#41	—	4	4	no	—
495	#41	C₂×D₄×C₁₁	1	4	yes	—
496	#41	C₂×D₄×C₁₁	1	4	yes	—
497	#41	C₂⁴×C₁₁	1	4	yes	—
498	#41	C₂⁴×C₁₁	1	4	yes	—
499	C₂×Q₈	—	2	1	no	—
500	C₂×Q₈	—	2	8	no	—
501	C₂×Q₈	—	2	2	no	—
502	C₂×Q₈	—	2	2	no	—
503	C₂×Q₈	—	4	1	no	—
504	C₂×Q₈	—	4	4	no	—
505	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
506	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
507	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
508	C₂×D₄	—	2	2	no	—
509	C₂×D₄	—	2	2	no	—
510	C₂×D₄	—	2	8	no	—
511	C₂×D₄	—	2	8	no	—
512	C₂×D₄	—	2	8	no	—
513	C₂×D₄	—	2	2	no	—
514	C₂×D₄	—	2	2	no	—
515	C₂×D₄	—	2	2	no	—
516	C₂×D₄	—	2	2	no	—
517	C₂×D₄	—	2	2	no	—
518	C₂×D₄	—	2	2	no	—
519	C₂×D₄	—	2	1	no	—
520	C₂×D₄	—	2	2	no	—
521	C₂×D₄	—	4	4	no	—
522	C₂×D₄	—	4	4	no	—
523	C₂×D₄	—	4	4	no	—
524	C₂×D₄	—	4	2	no	—
525	C₂×D₄	—	4	2	no	—
526	C₂×D₄	—	4	2	no	—
527	C₂×D₄	—	4	4	no	—
528	C₂×D₄	—	4	4	no	—
529	C₂×D₄	—	4	8	no	—
530	C₂×D₄	—	4	4	no	—
531	C₂×D₄	—	4	8	no	—
532	C₂×D₄	—	4	1	no	—
533	C₂×D₄	—	8	4	no	—
534	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
535	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
536	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
537	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
538	C₂²×C₄	—	2	2	no	—
539	C₂²×C₄	—	2	2	no	—
540	C₂²×C₄	—	2	1	no	—
541	C₂²×C₄	—	2	1	no	—
542	C₂²×C₄	—	4	1	no	—
543	C₂²×C₄	—	4	2	no	—
544	C₂²×C₄	—	4	2	no	—
545	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
546	Q₁₆	—	2	8	no	—
547	Q₁₆	C₂×D₄×C₁₁	1	8	yes	complemented
548	SD₁₆	—	2	8	no	—
549	SD₁₆	—	2	8	no	—
550	SD₁₆	—	2	8	no	—
551	SD₁₆	—	2	8	no	—
552	SD₁₆	—	2	8	no	—
553	SD₁₆	—	2	8	no	—
554	SD₁₆	C₂×D₄×C₁₁	1	8	yes	complemented
555	SD₁₆	C₂×D₄×C₁₁	1	8	yes	complemented
556	D₈	—	2	8	no	—
557	D₈	—	2	8	no	—
558	D₈	—	2	8	no	—
559	D₈	—	2	8	no	—
560	D₈	—	2	8	no	—
561	D₈	C₂×D₄×C₁₁	1	8	yes	complemented
562	M₁₆	—	2	2	no	—
563	M₁₆	—	2	2	no	—
564	M₁₆	—	2	8	no	—
565	M₁₆	—	2	8	no	—
566	M₁₆	C₂⁴×C₁₁	1	4	yes	—
567	M₁₆	C₂⁴×C₁₁	1	4	yes	—
568	C₂×C₈	—	2	2	no	—
569	C₂×C₈	—	2	2	no	—
570	C₂×C₈	—	2	8	no	—
571	C₂×C₈	—	2	8	no	—
572	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
573	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
574	C₂×C₈	C₂×D₄×C₁₁	1	4	yes	—
575	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
576	C₂²⋊C₄	—	4	4	no	—
577	C₄²	—	2	1	no	—
578	C₄²	C₂⁴×C₁₁	1	2	yes	—
579	C₁₁	C₂×#3288	1	1	yes	characteristic, direct product factor, Sylow
580	C₂³	—	2	2	no	—
581	C₂³	—	2	2	no	—
582	C₂³	—	2	2	no	—
583	C₂³	—	2	4	no	—
584	C₂³	—	4	8	no	—
585	C₂³	—	4	4	no	—
586	C₂³	—	4	1	no	—
587	C₂³	—	4	2	no	—
588	C₂³	—	4	1	no	—
589	C₂³	—	4	2	no	—
590	C₂³	—	8	4	no	—
591	C₂³	—	8	2	no	—
592	C₂³	—	16	2	no	—
593	C₂³	—	16	4	no	—
594	C₂³	C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
595	Q₈	—	2	2	no	—
596	Q₈	—	2	2	no	—
597	Q₈	—	2	4	no	—
598	Q₈	—	4	4	no	—
599	Q₈	—	4	2	no	—
600	Q₈	C₂²×D₄×C₁₁	1	4	yes	—
601	Q₈	C₂²×D₄×C₁₁	1	4	yes	—
602	D₄	—	2	4	no	—
603	D₄	—	2	4	no	—
604	D₄	—	2	4	no	—
605	D₄	—	2	4	no	—
606	D₄	—	2	2	no	—
607	D₄	—	2	2	no	—
608	D₄	—	2	4	no	—
609	D₄	—	2	4	no	—
610	D₄	—	2	4	no	—
611	D₄	—	4	8	no	—
612	D₄	—	4	8	no	—
613	D₄	—	4	8	no	—
614	D₄	—	4	4	no	—
615	D₄	—	4	2	no	—
616	D₄	—	4	2	no	—
617	D₄	—	4	2	no	—
618	D₄	—	8	8	no	—
619	D₄	C₂²×D₄×C₁₁	1	4	yes	—
620	D₄	C₂²×D₄×C₁₁	1	4	yes	—
621	C₂×C₄	—	2	2	no	—
622	C₂×C₄	—	2	2	no	—
623	C₂×C₄	—	2	4	no	—
624	C₂×C₄	—	2	4	no	—
625	C₂×C₄	—	2	4	no	—
626	C₂×C₄	—	2	4	no	—
627	C₂×C₄	—	2	2	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	4	4	no	—
630	C₂×C₄	—	4	8	no	—
631	C₂×C₄	—	4	8	no	—
632	C₂×C₄	—	4	2	no	—
633	C₂×C₄	—	4	1	no	—
634	C₂×C₄	—	4	1	no	—
635	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
636	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
637	C₂×C₄	C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
638	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
639	C₈	—	2	4	no	—
640	C₈	—	2	4	no	—
641	C₈	C₂²×D₄×C₁₁	1	4	yes	—
642	C₈	C₂²×D₄×C₁₁	1	4	yes	—
643	C₂²	—	2	2	no	—
644	C₂²	—	2	4	no	—
645	C₂²	—	2	4	no	—
646	C₂²	—	4	4	no	—
647	C₂²	—	4	4	no	—
648	C₂²	—	4	2	no	—
649	C₂²	—	4	4	no	—
650	C₂²	—	8	4	no	—
651	C₂²	—	8	2	no	—
652	C₂²	—	8	4	no	—
653	C₂²	—	8	2	no	—
654	C₂²	—	16	2	no	—
655	C₂²	—	16	1	no	—
656	C₂²	—	16	4	no	—
657	C₂²	—	16	8	no	—
658	C₂²	D₄²×C₁₁	1	1	yes	characteristic
659	C₂²	D₄²×C₁₁	1	1	yes	characteristic
660	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
661	C₄	—	2	4	no	—
662	C₄	—	2	4	no	—
663	C₄	—	4	2	no	—
664	C₄	—	4	2	no	—
665	C₄	D₄²×C₁₁	1	2	yes	—
666	C₄	C₂³×D₄×C₁₁	1	2	yes	—
667	C₂	—	2	1	no	—
668	C₂	—	2	1	no	—
669	C₂	—	4	4	no	—
670	C₂	—	4	4	no	—
671	C₂	—	8	4	no	—
672	C₂	—	8	2	no	—
673	C₂	C₁₁×#3288	1	2	yes	direct product factor
674	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×#577	C₂	semidirect
2. C₂×C₁₁×#576	C₂	semidirect
3. C₁₁×#3288	C₂	direct (N × H)
4. C₂×C₁₁×#496	C₂	semidirect
5. C₂×C₁₁×#472	C₂	semidirect
6. C₂×C₁₁×#471	C₂	semidirect
7. C₂×C₁₁×#454	C₂	semidirect
8. C₂×C₁₁×#455	C₂	semidirect
9. C₂×C₁₁×#453	C₂	semidirect
10. C₂×C₁₁×#444	C₂	semidirect
11. C₂×C₁₁×2₋¹⁺⁴	C₂²	semidirect
13. C₂×C₁₁×H(5,𝔽₂)	C₂²	semidirect
15. C₁₁×#577	C₂²	semidirect
17. C₁₁×#576	C₂²	semidirect
19. C₂×C₁₁×#137	C₂²	semidirect
24. C₂×C₁₁×AGL(1,ℤ/8)	C₂²	semidirect
25. C₂×C₁₁×AGL(1,ℤ/8)	C₂²	semidirect
30. C₂²×C₁₁×SD₁₆	C₂²	semidirect
32. C₂²×C₁₁×D₈	C₂²	semidirect
33. C₂×C₁₁×#131	C₂²	semidirect
34. C₂×C₁₁×#131	C₂²	semidirect
35. C₂×C₁₁×#127	C₂²	semidirect
36. C₂×C₁₁×#124	C₂²	semidirect
37. C₁₁×#496	C₂²	semidirect
38. C₁₁×#472	C₂²	semidirect
39. C₁₁×#471	C₂²	semidirect
40. C₁₁×#455	C₂²	semidirect
41. C₁₁×#454	C₂²	semidirect
42. C₁₁×#453	C₂²	semidirect
43. C₁₁×#444	C₂²	semidirect
44. C₂×C₁₁×#108	C₂²	semidirect
45. C₂×C₁₁×#104	C₂²	semidirect
46. C₂×C₁₁×#104	C₂²	semidirect
47. C₂×C₁₁×#101	C₂²	semidirect
48. C₂×C₁₁×#100	C₂²	semidirect
49. C₂×C₁₁×#100	C₂²	semidirect
50. C₂×C₁₁×#97	C₂²	semidirect
53. C₁₁×2₋¹⁺⁴	C₂³	semidirect
60. C₁₁×H(5,𝔽₂)	C₂³	semidirect
80. C₁₁×#137	C₂³	semidirect
88. C₁₁×AGL(1,ℤ/8)	C₂³	semidirect
89. C₁₁×AGL(1,ℤ/8)	C₂³	semidirect
92. C₁₁×#135	D₄	semidirect
95. C₂×C₁₁×Q₁₆	D₄	semidirect
104. C₂×C₁₁×SD₁₆	D₄	semidirect
105. C₂×C₁₁×SD₁₆	D₄	semidirect
106. C₂×C₁₁×SD₁₆	C₂³	semidirect
114. C₂×C₁₁×D₈	D₄	semidirect
115. C₂×C₁₁×D₈	C₂³	semidirect
118. C₁₁×#131	C₂³	semidirect
119. C₁₁×#131	C₂³	semidirect
128. C₁₁×#127	C₂³	semidirect
130. C₁₁×#124	C₂³	semidirect
133. C₁₁×#108	C₂³	semidirect
134. C₁₁×#104	C₂³	semidirect
135. C₁₁×#104	C₂³	semidirect
136. C₁₁×#101	C₂³	semidirect
137. C₁₁×#100	C₂³	semidirect
138. C₁₁×#100	C₂³	semidirect
139. C₁₁×#97	C₂³	semidirect
140. C₂×#3288	C₁₁	direct (N × H)
211. C₁₁×Q₁₆	C₂×D₄	semidirect
218. C₁₁×SD₁₆	C₂×D₄	semidirect
219. C₁₁×SD₁₆	C₂×D₄	semidirect
225. C₁₁×D₈	C₂×D₄	semidirect
243. C₂×#577	C₂×C₁₁	semidirect
244. C₂×#576	C₂×C₁₁	semidirect
245. #3288	C₂×C₁₁	direct (N × H)
246. C₂×#496	C₂×C₁₁	semidirect
247. C₂×#472	C₂×C₁₁	semidirect
248. C₂×#471	C₂×C₁₁	semidirect
249. C₂×#454	C₂×C₁₁	semidirect
250. C₂×#455	C₂×C₁₁	semidirect
251. C₂×#453	C₂×C₁₁	semidirect
252. C₂×#444	C₂×C₁₁	semidirect
316. C₂×2₋¹⁺⁴	C₂²×C₁₁	semidirect
318. C₂×H(5,𝔽₂)	C₂²×C₁₁	semidirect
320. #577	C₂²×C₁₁	semidirect
322. #576	C₂²×C₁₁	semidirect
324. C₂×#137	C₂²×C₁₁	semidirect
329. C₂×AGL(1,ℤ/8)	C₂²×C₁₁	semidirect
330. C₂×AGL(1,ℤ/8)	C₂²×C₁₁	semidirect
335. C₂²×SD₁₆	C₂²×C₁₁	semidirect
337. C₂²×D₈	C₂²×C₁₁	semidirect
338. C₂×#131	C₂²×C₁₁	semidirect
339. C₂×#131	C₂²×C₁₁	semidirect
340. C₂×#127	C₂²×C₁₁	semidirect
341. C₂×#124	C₂²×C₁₁	semidirect
342. #496	C₂²×C₁₁	semidirect
343. #472	C₂²×C₁₁	semidirect
344. #471	C₂²×C₁₁	semidirect
345. #455	C₂²×C₁₁	semidirect
346. #454	C₂²×C₁₁	semidirect
347. #453	C₂²×C₁₁	semidirect
348. #444	C₂²×C₁₁	semidirect
349. C₂×#108	C₂²×C₁₁	semidirect
350. C₂×#104	C₂²×C₁₁	semidirect
351. C₂×#104	C₂²×C₁₁	semidirect
352. C₂×#101	C₂²×C₁₁	semidirect
353. C₂×#100	C₂²×C₁₁	semidirect
354. C₂×#100	C₂²×C₁₁	semidirect
355. C₂×#97	C₂²×C₁₁	semidirect
382. 2₋¹⁺⁴	C₂³×C₁₁	semidirect
389. H(5,𝔽₂)	C₂³×C₁₁	semidirect
409. #137	C₂³×C₁₁	semidirect
417. AGL(1,ℤ/8)	C₂³×C₁₁	semidirect
418. AGL(1,ℤ/8)	C₂³×C₁₁	semidirect
421. #135	D₄×C₁₁	semidirect
424. C₂×Q₁₆	D₄×C₁₁	semidirect
433. C₂×SD₁₆	D₄×C₁₁	semidirect
434. C₂×SD₁₆	D₄×C₁₁	semidirect
435. C₂×SD₁₆	C₂³×C₁₁	semidirect
443. C₂×D₈	D₄×C₁₁	semidirect
444. C₂×D₈	C₂³×C₁₁	semidirect
447. #131	C₂³×C₁₁	semidirect
448. #131	C₂³×C₁₁	semidirect
457. #127	C₂³×C₁₁	semidirect
459. #124	C₂³×C₁₁	semidirect
462. #108	C₂³×C₁₁	semidirect
463. #104	C₂³×C₁₁	semidirect
464. #104	C₂³×C₁₁	semidirect
465. #101	C₂³×C₁₁	semidirect
466. #100	C₂³×C₁₁	semidirect
467. #100	C₂³×C₁₁	semidirect
468. #97	C₂³×C₁₁	semidirect
475. C₂×C₁₁	#3288	direct (N × H)
547. Q₁₆	C₂×D₄×C₁₁	semidirect
554. SD₁₆	C₂×D₄×C₁₁	semidirect
555. SD₁₆	C₂×D₄×C₁₁	semidirect
561. D₈	C₂×D₄×C₁₁	semidirect
579. C₁₁	C₂×#3288	direct (N × H)
673. C₂	C₁₁×#3288	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×#577	2
C₂×C₁₁×#576	2
C₁₁×#3288	2
C₂×C₁₁×#496	2
C₂×C₁₁×#472	2
C₂×C₁₁×#471	2
C₂×C₁₁×#454	2
C₂×C₁₁×#455	2
C₂×C₁₁×#453	2
C₂×C₁₁×#444	2
C₂×#3288	11

Subgroups — C2×C11×#3288 #14638291

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₁×#3288 #14638291