Subgroups — C₂×C₁₁×#3188 #14637923

Order 2816.

2718 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#525	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₁₁×#121	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3188	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₁₁×#484	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₁×#481	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₁×#482	C₂	1	2	yes	maximal, complemented
7	C₂×C₁₁×#466	C₂	1	2	yes	maximal, complemented
8	C₂×C₁₁×#465	C₂	1	2	yes	maximal, complemented
9	C₂×C₁₁×#449	C₂	1	2	yes	maximal, complemented
10	C₂×C₁₁×#450	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₁₁×#447	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×C₁₁×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×C₁₁×#41	C₂²	1	1	yes	characteristic, complemented
14	C₂³×D₄×C₁₁	—	2	1	no	—
15	C₂³×D₄×C₁₁	C₂²	1	1	yes	characteristic
16	C₂⁴×C₄×C₁₁	C₂²	1	1	yes	characteristic
17	C₂²×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
18	C₂²×C₁₁×D₈	C₂²	1	2	yes	complemented
19	C₂³×C₈×C₁₁	C₂²	1	2	yes	complemented
20	C₁₁×#525	—	2	4	no	—
21	C₁₁×#525	C₂²	1	8	yes	complemented
22	C₂×C₁₁×#123	—	2	1	no	—
23	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
24	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
25	C₂×C₁₁×#121	—	2	1	no	—
26	C₂×C₁₁×#121	—	2	1	no	—
27	C₂×C₁₁×#121	—	2	4	no	—
28	C₂×C₁₁×#121	C₂²	1	2	yes	—
29	C₂×C₁₁×#121	C₂²	1	2	yes	—
30	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic
31	C₂×C₁₁×#121	C₂²	1	8	yes	complemented
32	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₁×#120	—	2	1	no	—
34	C₂×C₄×D₄×C₁₁	—	2	1	no	—
35	C₂×C₄×D₄×C₁₁	—	2	1	no	—
36	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
38	C₂²×C₁₁×C₂²⋊C₄	—	2	1	no	—
39	C₁₁×#484	C₂²	1	8	yes	complemented
40	C₁₁×#482	C₂²	1	16	yes	complemented
41	C₁₁×#481	C₂²	1	8	yes	complemented
42	C₁₁×#466	C₂²	1	16	yes	complemented
43	C₁₁×#465	C₂²	1	16	yes	complemented
44	C₁₁×#450	C₂²	1	8	yes	complemented
45	C₁₁×#449	C₂²	1	16	yes	complemented
46	C₁₁×#447	C₂²	1	8	yes	complemented
47	C₂×C₁₁×#107	C₂²	1	2	yes	complemented
48	C₂×C₁₁×#106	C₂²	1	2	yes	complemented
49	C₂×C₁₁×#103	C₂²	1	2	yes	complemented
50	C₂×C₁₁×#102	C₂²	1	2	yes	complemented
51	C₂×C₁₁×#102	C₂²	1	2	yes	complemented
52	C₂×C₁₁×#102	C₂²	1	2	yes	complemented
53	C₂×C₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
54	C₂×C₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
55	C₂×C₁₁×C₂²⋊C₈	C₂²	1	8	yes	complemented
56	C₂×C₁₁×C₂²⋊C₈	C₂²	1	2	yes	complemented
57	C₂⁵×C₁₁	—	2	1	no	—
58	C₂⁵×C₁₁	D₄	1	1	yes	characteristic
59	C₂×C₁₁×#41	—	2	2	no	—
60	C₂×C₁₁×#41	—	4	4	no	—
61	C₂×C₁₁×#41	C₂³	1	4	yes	complemented
62	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
63	C₂²×D₄×C₁₁	—	2	1	no	—
64	C₂²×D₄×C₁₁	—	2	1	no	—
65	C₂²×D₄×C₁₁	—	2	1	no	—
66	C₂²×D₄×C₁₁	—	2	2	no	—
67	C₂²×D₄×C₁₁	—	2	2	no	—
68	C₂²×D₄×C₁₁	—	2	8	no	—
69	C₂²×D₄×C₁₁	—	2	2	no	—
70	C₂²×D₄×C₁₁	—	2	1	no	—
71	C₂²×D₄×C₁₁	—	4	4	no	—
72	C₂²×D₄×C₁₁	—	4	8	no	—
73	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
74	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
75	C₂²×D₄×C₁₁	C₂³	1	4	yes	—
76	C₂³×C₄×C₁₁	—	2	1	no	—
77	C₂³×C₄×C₁₁	—	2	1	no	—
78	C₂³×C₄×C₁₁	—	4	4	no	—
79	C₂³×C₄×C₁₁	D₄	1	1	yes	characteristic
80	C₂³×C₄×C₁₁	D₄	1	1	yes	characteristic
81	C₂³×C₄×C₁₁	D₄	1	1	yes	characteristic
82	C₂³×C₄×C₁₁	D₄	1	4	yes	—
83	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
84	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
85	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
86	C₂³×C₄×C₁₁	C₂³	1	4	yes	—
87	C₂×C₁₁×SD₁₆	—	4	4	no	—
88	C₂×C₁₁×SD₁₆	C₂³	1	8	yes	complemented
89	C₂×C₁₁×D₈	—	4	4	no	—
90	C₂×C₁₁×D₈	C₂³	1	8	yes	complemented
91	C₂²×C₈×C₁₁	—	4	4	no	—
92	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
93	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
94	C₂²×C₈×C₁₁	C₂³	1	8	yes	complemented
95	C₁₁×#123	—	2	8	no	—
96	C₁₁×C₂²⋊Q₈	—	2	2	no	—
97	C₁₁×C₂²⋊Q₈	—	2	2	no	—
98	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
99	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	complemented
100	C₁₁×#121	—	2	4	no	—
101	C₁₁×#121	—	2	4	no	—
102	C₁₁×#121	—	2	8	no	—
103	C₁₁×#121	—	2	8	no	—
104	C₁₁×#121	—	2	2	no	—
105	C₁₁×#121	—	2	2	no	—
106	C₁₁×#121	C₂³	1	8	yes	—
107	C₁₁×#121	C₂³	1	8	yes	—
108	C₁₁×#121	C₂³	1	4	yes	—
109	C₁₁×#121	C₂³	1	4	yes	complemented
110	C₁₁×#120	—	2	8	no	—
111	C₄×D₄×C₁₁	—	2	8	no	—
112	C₄×D₄×C₁₁	—	2	8	no	—
113	C₁₁×#117	—	2	2	no	—
114	C₁₁×#117	C₂³	1	4	yes	complemented
115	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
116	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
117	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
118	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
119	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
120	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
121	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
122	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
123	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
124	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
125	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
126	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
127	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
128	C₂×C₁₁×C₂²⋊C₄	—	2	8	no	—
129	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
130	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
131	C₂×C₄²×C₁₁	—	2	1	no	—
132	C₁₁×#107	C₂³	1	8	yes	complemented
133	C₁₁×#106	C₂³	1	8	yes	complemented
134	C₁₁×#103	C₂³	1	8	yes	complemented
135	C₁₁×#102	C₂³	1	8	yes	complemented
136	C₁₁×#102	C₂³	1	8	yes	complemented
137	C₁₁×#102	C₂³	1	8	yes	complemented
138	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
139	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
140	C₁₁×C₂²⋊C₈	C₂³	1	8	yes	complemented
141	C₂×#3188	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
142	C₂⁴×C₁₁	—	2	4	no	—
143	C₂⁴×C₁₁	—	2	4	no	—
144	C₂⁴×C₁₁	—	2	4	no	—
145	C₂⁴×C₁₁	—	2	1	no	—
146	C₂⁴×C₁₁	—	2	2	no	—
147	C₂⁴×C₁₁	—	4	2	no	—
148	C₂⁴×C₁₁	—	4	4	no	—
149	C₂⁴×C₁₁	—	4	4	no	—
150	C₂⁴×C₁₁	—	4	4	no	—
151	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
152	C₂⁴×C₁₁	C₂×D₄	1	4	yes	—
153	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
154	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
155	C₁₁×#41	—	4	8	no	—
156	C₁₁×#41	—	4	8	no	—
157	C₂×Q₈×C₁₁	—	2	1	no	—
158	C₂×Q₈×C₁₁	—	2	4	no	—
159	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
160	C₂×D₄×C₁₁	—	2	4	no	—
161	C₂×D₄×C₁₁	—	2	4	no	—
162	C₂×D₄×C₁₁	—	2	4	no	—
163	C₂×D₄×C₁₁	—	2	8	no	—
164	C₂×D₄×C₁₁	—	2	8	no	—
165	C₂×D₄×C₁₁	—	2	4	no	—
166	C₂×D₄×C₁₁	—	2	2	no	—
167	C₂×D₄×C₁₁	—	2	1	no	—
168	C₂×D₄×C₁₁	—	2	4	no	—
169	C₂×D₄×C₁₁	—	2	4	no	—
170	C₂×D₄×C₁₁	—	2	4	no	—
171	C₂×D₄×C₁₁	—	4	8	no	—
172	C₂×D₄×C₁₁	—	4	4	no	—
173	C₂×D₄×C₁₁	—	4	8	no	—
174	C₂×D₄×C₁₁	—	4	32	no	—
175	C₂×D₄×C₁₁	—	4	8	no	—
176	C₂×D₄×C₁₁	—	4	4	no	—
177	C₂×D₄×C₁₁	—	4	4	no	—
178	C₂×D₄×C₁₁	—	4	4	no	—
179	C₂×D₄×C₁₁	—	4	8	no	—
180	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
181	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
182	C₂²×C₄×C₁₁	—	2	4	no	—
183	C₂²×C₄×C₁₁	—	2	4	no	—
184	C₂²×C₄×C₁₁	—	2	4	no	—
185	C₂²×C₄×C₁₁	—	2	4	no	—
186	C₂²×C₄×C₁₁	—	2	1	no	—
187	C₂²×C₄×C₁₁	—	2	1	no	—
188	C₂²×C₄×C₁₁	—	2	1	no	—
189	C₂²×C₄×C₁₁	—	2	2	no	—
190	C₂²×C₄×C₁₁	—	2	4	no	—
191	C₂²×C₄×C₁₁	—	4	8	no	—
192	C₂²×C₄×C₁₁	—	4	8	no	—
193	C₂²×C₄×C₁₁	—	4	2	no	—
194	C₂²×C₄×C₁₁	—	4	2	no	—
195	C₂²×C₄×C₁₁	—	4	2	no	—
196	C₂²×C₄×C₁₁	—	4	4	no	—
197	C₂²×C₄×C₁₁	—	4	4	no	—
198	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
199	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
200	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
201	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
202	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
203	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
204	C₂²×C₄×C₁₁	C₂×D₄	1	4	yes	—
205	C₂²×C₄×C₁₁	C₂×D₄	1	4	yes	—
206	C₂²×C₄×C₁₁	C₂×D₄	1	4	yes	—
207	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
208	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
209	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
210	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
211	C₁₁×SD₁₆	—	4	8	no	—
212	C₁₁×D₈	—	4	8	no	—
213	C₂×C₈×C₁₁	—	2	4	no	—
214	C₂×C₈×C₁₁	—	2	4	no	—
215	C₂×C₈×C₁₁	—	4	8	no	—
216	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
217	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
218	C₁₁×C₄⋊C₄	—	2	4	no	—
219	C₁₁×C₄⋊C₄	—	2	2	no	—
220	C₁₁×C₄⋊C₄	—	2	4	no	—
221	C₁₁×C₄⋊C₄	—	2	4	no	—
222	C₁₁×C₄⋊C₄	—	2	1	no	—
223	C₁₁×C₄⋊C₄	—	2	1	no	—
224	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
225	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
226	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
227	C₁₁×C₂²⋊C₄	—	2	4	no	—
228	C₁₁×C₂²⋊C₄	—	2	4	no	—
229	C₁₁×C₂²⋊C₄	—	2	4	no	—
230	C₁₁×C₂²⋊C₄	—	2	8	no	—
231	C₁₁×C₂²⋊C₄	—	2	8	no	—
232	C₁₁×C₂²⋊C₄	—	2	4	no	—
233	C₁₁×C₂²⋊C₄	—	2	4	no	—
234	C₄²×C₁₁	—	2	4	no	—
235	C₂×#525	C₂×C₁₁	1	1	yes	characteristic, complemented
236	C₂²×#121	C₂×C₁₁	1	1	yes	characteristic, complemented
237	#3188	C₂×C₁₁	1	16	yes	direct product factor
238	C₂×#484	C₂×C₁₁	1	1	yes	characteristic, complemented
239	C₂×#481	C₂×C₁₁	1	1	yes	characteristic, complemented
240	C₂×#482	C₂×C₁₁	1	2	yes	complemented
241	C₂×#466	C₂×C₁₁	1	2	yes	complemented
242	C₂×#465	C₂×C₁₁	1	2	yes	complemented
243	C₂×#449	C₂×C₁₁	1	2	yes	complemented
244	C₂×#450	C₂×C₁₁	1	1	yes	characteristic, complemented
245	C₂×#447	C₂×C₁₁	1	1	yes	characteristic, complemented
246	C₂²×C₂²⋊C₈	C₂×C₁₁	1	1	yes	characteristic, complemented
247	C₂³×C₁₁	—	2	2	no	—
248	C₂³×C₁₁	—	2	2	no	—
249	C₂³×C₁₁	—	2	2	no	—
250	C₂³×C₁₁	—	2	2	no	—
251	C₂³×C₁₁	—	2	2	no	—
252	C₂³×C₁₁	—	2	8	no	—
253	C₂³×C₁₁	—	2	2	no	—
254	C₂³×C₁₁	—	2	8	no	—
255	C₂³×C₁₁	—	2	2	no	—
256	C₂³×C₁₁	—	2	2	no	—
257	C₂³×C₁₁	—	2	4	no	—
258	C₂³×C₁₁	—	4	4	no	—
259	C₂³×C₁₁	—	4	16	no	—
260	C₂³×C₁₁	—	4	8	no	—
261	C₂³×C₁₁	—	4	8	no	—
262	C₂³×C₁₁	—	4	2	no	—
263	C₂³×C₁₁	—	4	4	no	—
264	C₂³×C₁₁	—	4	2	no	—
265	C₂³×C₁₁	—	4	8	no	—
266	C₂³×C₁₁	—	4	4	no	—
267	C₂³×C₁₁	—	4	4	no	—
268	C₂³×C₁₁	—	4	2	no	—
269	C₂³×C₁₁	—	8	16	no	—
270	C₂³×C₁₁	#135	1	4	yes	—
271	C₂³×C₁₁	AGL(1,ℤ/8)	1	4	yes	—
272	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
273	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
274	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
275	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
276	Q₈×C₁₁	—	2	4	no	—
277	Q₈×C₁₁	—	4	2	no	—
278	D₄×C₁₁	—	2	4	no	—
279	D₄×C₁₁	—	2	4	no	—
280	D₄×C₁₁	—	2	4	no	—
281	D₄×C₁₁	—	4	8	no	—
282	D₄×C₁₁	—	4	16	no	—
283	D₄×C₁₁	—	4	8	no	—
284	D₄×C₁₁	—	4	8	no	—
285	D₄×C₁₁	—	4	8	no	—
286	D₄×C₁₁	—	4	16	no	—
287	D₄×C₁₁	—	4	4	no	—
288	D₄×C₁₁	—	4	2	no	—
289	C₂×C₄×C₁₁	—	2	2	no	—
290	C₂×C₄×C₁₁	—	2	2	no	—
291	C₂×C₄×C₁₁	—	2	2	no	—
292	C₂×C₄×C₁₁	—	2	4	no	—
293	C₂×C₄×C₁₁	—	2	4	no	—
294	C₂×C₄×C₁₁	—	2	4	no	—
295	C₂×C₄×C₁₁	—	2	4	no	—
296	C₂×C₄×C₁₁	—	2	4	no	—
297	C₂×C₄×C₁₁	—	2	4	no	—
298	C₂×C₄×C₁₁	—	2	2	no	—
299	C₂×C₄×C₁₁	—	2	2	no	—
300	C₂×C₄×C₁₁	—	2	2	no	—
301	C₂×C₄×C₁₁	—	2	4	no	—
302	C₂×C₄×C₁₁	—	4	4	no	—
303	C₂×C₄×C₁₁	—	4	4	no	—
304	C₂×C₄×C₁₁	—	4	4	no	—
305	C₂×C₄×C₁₁	—	4	8	no	—
306	C₂×C₄×C₁₁	—	4	8	no	—
307	C₂×C₄×C₁₁	—	4	2	no	—
308	C₂×C₄×C₁₁	—	4	2	no	—
309	C₂×C₄×C₁₁	—	4	4	no	—
310	C₂×C₄×C₁₁	—	4	2	no	—
311	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
312	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
313	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
314	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
315	C₂×C₄×C₁₁	H(5,𝔽₂)	1	4	yes	—
316	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
317	C₈×C₁₁	—	2	4	no	—
318	C₈×C₁₁	—	2	4	no	—
319	C₂²×#41	C₂²×C₁₁	1	1	yes	characteristic, complemented
320	C₂³×D₄	—	2	1	no	—
321	C₂³×D₄	C₂²×C₁₁	1	1	yes	characteristic
322	C₂⁴×C₄	C₂²×C₁₁	1	1	yes	characteristic
323	C₂²×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
324	C₂²×D₈	C₂²×C₁₁	1	2	yes	complemented
325	C₂³×C₈	C₂²×C₁₁	1	2	yes	complemented
326	#525	—	2	4	no	—
327	#525	C₂²×C₁₁	1	8	yes	complemented
328	C₂×#123	—	2	1	no	—
329	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
330	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
331	C₂×#121	—	2	1	no	—
332	C₂×#121	—	2	1	no	—
333	C₂×#121	—	2	4	no	—
334	C₂×#121	C₂²×C₁₁	1	2	yes	—
335	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic
336	C₂×#121	C₂²×C₁₁	1	2	yes	—
337	C₂×#121	C₂²×C₁₁	1	8	yes	complemented
338	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic, complemented
339	C₂×#120	—	2	1	no	—
340	C₂×C₄×D₄	—	2	1	no	—
341	C₂×C₄×D₄	—	2	1	no	—
342	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic, complemented
343	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
344	C₂²×C₂²⋊C₄	—	2	1	no	—
345	#484	C₂²×C₁₁	1	8	yes	complemented
346	#482	C₂²×C₁₁	1	16	yes	complemented
347	#481	C₂²×C₁₁	1	8	yes	complemented
348	#466	C₂²×C₁₁	1	16	yes	complemented
349	#465	C₂²×C₁₁	1	16	yes	complemented
350	#450	C₂²×C₁₁	1	8	yes	complemented
351	#449	C₂²×C₁₁	1	16	yes	complemented
352	#447	C₂²×C₁₁	1	8	yes	complemented
353	C₂×#107	C₂²×C₁₁	1	2	yes	complemented
354	C₂×#106	C₂²×C₁₁	1	2	yes	complemented
355	C₂×#103	C₂²×C₁₁	1	2	yes	complemented
356	C₂×#102	C₂²×C₁₁	1	2	yes	complemented
357	C₂×#102	C₂²×C₁₁	1	2	yes	complemented
358	C₂×#102	C₂²×C₁₁	1	2	yes	complemented
359	C₂×C₂²⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
360	C₂×C₂²⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
361	C₂×C₂²⋊C₈	C₂²×C₁₁	1	8	yes	complemented
362	C₂×C₂²⋊C₈	C₂²×C₁₁	1	2	yes	complemented
363	C₂²×C₁₁	—	2	8	no	—
364	C₂²×C₁₁	—	2	8	no	—
365	C₂²×C₁₁	—	2	2	no	—
366	C₂²×C₁₁	—	2	2	no	—
367	C₂²×C₁₁	—	2	2	no	—
368	C₂²×C₁₁	—	2	2	no	—
369	C₂²×C₁₁	—	2	2	no	—
370	C₂²×C₁₁	—	2	2	no	—
371	C₂²×C₁₁	—	2	2	no	—
372	C₂²×C₁₁	—	4	16	no	—
373	C₂²×C₁₁	—	4	4	no	—
374	C₂²×C₁₁	—	4	2	no	—
375	C₂²×C₁₁	—	4	4	no	—
376	C₂²×C₁₁	—	4	2	no	—
377	C₂²×C₁₁	—	4	4	no	—
378	C₂²×C₁₁	—	4	4	no	—
379	C₂²×C₁₁	—	4	2	no	—
380	C₂²×C₁₁	—	8	16	no	—
381	C₂²×C₁₁	—	8	4	no	—
382	C₂²×C₁₁	—	8	8	no	—
383	C₂²×C₁₁	#534	1	2	yes	—
384	C₂²×C₁₁	C₂×#135	1	4	yes	—
385	C₂²×C₁₁	C₂×#135	1	2	yes	—
386	C₂²×C₁₁	C₂×AGL(1,ℤ/8)	1	4	yes	—
387	C₂²×C₁₁	C₂×AGL(1,ℤ/8)	1	2	yes	—
388	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
389	C₄×C₁₁	—	2	2	no	—
390	C₄×C₁₁	—	2	2	no	—
391	C₄×C₁₁	—	2	2	no	—
392	C₄×C₁₁	—	4	2	no	—
393	C₄×C₁₁	—	4	2	no	—
394	C₄×C₁₁	—	4	4	no	—
395	C₄×C₁₁	—	4	2	no	—
396	C₄×C₁₁	#534	1	2	yes	—
397	C₄×C₁₁	C₂×H(5,𝔽₂)	1	2	yes	—
398	C₂⁵	—	2	1	no	—
399	C₂⁵	D₄×C₁₁	1	1	yes	characteristic
400	C₂×#41	—	2	2	no	—
401	C₂×#41	—	4	4	no	—
402	C₂×#41	C₂³×C₁₁	1	4	yes	complemented
403	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
404	C₂²×D₄	—	2	1	no	—
405	C₂²×D₄	—	2	1	no	—
406	C₂²×D₄	—	2	1	no	—
407	C₂²×D₄	—	2	2	no	—
408	C₂²×D₄	—	2	2	no	—
409	C₂²×D₄	—	2	8	no	—
410	C₂²×D₄	—	2	1	no	—
411	C₂²×D₄	—	2	2	no	—
412	C₂²×D₄	—	4	4	no	—
413	C₂²×D₄	—	4	8	no	—
414	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
415	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
416	C₂²×D₄	C₂³×C₁₁	1	4	yes	—
417	C₂³×C₄	—	2	1	no	—
418	C₂³×C₄	—	2	1	no	—
419	C₂³×C₄	—	4	4	no	—
420	C₂³×C₄	D₄×C₁₁	1	1	yes	characteristic
421	C₂³×C₄	D₄×C₁₁	1	1	yes	characteristic
422	C₂³×C₄	D₄×C₁₁	1	1	yes	characteristic
423	C₂³×C₄	D₄×C₁₁	1	4	yes	—
424	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
425	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
426	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
427	C₂³×C₄	C₂³×C₁₁	1	4	yes	—
428	C₂×SD₁₆	—	4	4	no	—
429	C₂×SD₁₆	C₂³×C₁₁	1	8	yes	complemented
430	C₂×D₈	—	4	4	no	—
431	C₂×D₈	C₂³×C₁₁	1	8	yes	complemented
432	C₂²×C₈	—	4	4	no	—
433	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
434	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
435	C₂²×C₈	C₂³×C₁₁	1	8	yes	complemented
436	#123	—	2	8	no	—
437	C₂²⋊Q₈	—	2	2	no	—
438	C₂²⋊Q₈	—	2	2	no	—
439	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
440	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	complemented
441	#121	—	2	4	no	—
442	#121	—	2	4	no	—
443	#121	—	2	8	no	—
444	#121	—	2	8	no	—
445	#121	—	2	2	no	—
446	#121	—	2	2	no	—
447	#121	C₂³×C₁₁	1	8	yes	—
448	#121	C₂³×C₁₁	1	8	yes	—
449	#121	C₂³×C₁₁	1	4	yes	—
450	#121	C₂³×C₁₁	1	4	yes	complemented
451	#120	—	2	8	no	—
452	C₄×D₄	—	2	8	no	—
453	C₄×D₄	—	2	8	no	—
454	#117	—	2	2	no	—
455	#117	C₂³×C₁₁	1	4	yes	complemented
456	C₂×C₄⋊C₄	—	2	1	no	—
457	C₂×C₄⋊C₄	—	2	2	no	—
458	C₂×C₄⋊C₄	—	2	1	no	—
459	C₂×C₄⋊C₄	—	2	1	no	—
460	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
461	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
462	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
463	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
464	C₂×C₂²⋊C₄	—	2	1	no	—
465	C₂×C₂²⋊C₄	—	2	1	no	—
466	C₂×C₂²⋊C₄	—	2	1	no	—
467	C₂×C₂²⋊C₄	—	2	2	no	—
468	C₂×C₂²⋊C₄	—	2	2	no	—
469	C₂×C₂²⋊C₄	—	2	8	no	—
470	C₂×C₂²⋊C₄	—	2	1	no	—
471	C₂×C₂²⋊C₄	—	2	1	no	—
472	C₂×C₄²	—	2	1	no	—
473	#107	C₂³×C₁₁	1	8	yes	complemented
474	#106	C₂³×C₁₁	1	8	yes	complemented
475	#103	C₂³×C₁₁	1	8	yes	complemented
476	#102	C₂³×C₁₁	1	8	yes	complemented
477	#102	C₂³×C₁₁	1	8	yes	complemented
478	#102	C₂³×C₁₁	1	8	yes	complemented
479	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
480	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
481	C₂²⋊C₈	C₂³×C₁₁	1	8	yes	complemented
482	C₂×C₁₁	—	2	4	no	—
483	C₂×C₁₁	—	2	4	no	—
484	C₂×C₁₁	—	4	2	no	—
485	C₂×C₁₁	—	8	2	no	—
486	C₂×C₁₁	—	8	4	no	—
487	C₂×C₁₁	#3188	1	4	yes	direct product factor
488	C₂×C₁₁	C₂×#534	1	1	yes	characteristic
489	C₂×C₁₁	C₂²×#135	1	1	yes	characteristic
490	C₂×C₁₁	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
491	C₂⁴	—	2	4	no	—
492	C₂⁴	—	2	4	no	—
493	C₂⁴	—	2	1	no	—
494	C₂⁴	—	2	4	no	—
495	C₂⁴	—	2	2	no	—
496	C₂⁴	—	4	2	no	—
497	C₂⁴	—	4	4	no	—
498	C₂⁴	—	4	4	no	—
499	C₂⁴	—	4	4	no	—
500	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
501	C₂⁴	C₂×D₄×C₁₁	1	4	yes	—
502	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
503	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
504	#41	—	4	8	no	—
505	#41	—	4	8	no	—
506	C₂×Q₈	—	2	1	no	—
507	C₂×Q₈	—	2	4	no	—
508	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
509	C₂×D₄	—	2	4	no	—
510	C₂×D₄	—	2	4	no	—
511	C₂×D₄	—	2	4	no	—
512	C₂×D₄	—	2	8	no	—
513	C₂×D₄	—	2	8	no	—
514	C₂×D₄	—	2	4	no	—
515	C₂×D₄	—	2	2	no	—
516	C₂×D₄	—	2	1	no	—
517	C₂×D₄	—	2	4	no	—
518	C₂×D₄	—	2	4	no	—
519	C₂×D₄	—	2	4	no	—
520	C₂×D₄	—	4	8	no	—
521	C₂×D₄	—	4	4	no	—
522	C₂×D₄	—	4	8	no	—
523	C₂×D₄	—	4	32	no	—
524	C₂×D₄	—	4	8	no	—
525	C₂×D₄	—	4	4	no	—
526	C₂×D₄	—	4	4	no	—
527	C₂×D₄	—	4	8	no	—
528	C₂×D₄	—	4	4	no	—
529	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
530	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
531	C₂²×C₄	—	2	4	no	—
532	C₂²×C₄	—	2	4	no	—
533	C₂²×C₄	—	2	4	no	—
534	C₂²×C₄	—	2	1	no	—
535	C₂²×C₄	—	2	1	no	—
536	C₂²×C₄	—	2	1	no	—
537	C₂²×C₄	—	2	4	no	—
538	C₂²×C₄	—	2	2	no	—
539	C₂²×C₄	—	2	4	no	—
540	C₂²×C₄	—	4	8	no	—
541	C₂²×C₄	—	4	8	no	—
542	C₂²×C₄	—	4	2	no	—
543	C₂²×C₄	—	4	2	no	—
544	C₂²×C₄	—	4	2	no	—
545	C₂²×C₄	—	4	4	no	—
546	C₂²×C₄	—	4	4	no	—
547	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
548	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
549	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
550	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
551	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
552	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
553	C₂²×C₄	C₂×D₄×C₁₁	1	4	yes	—
554	C₂²×C₄	C₂×D₄×C₁₁	1	4	yes	—
555	C₂²×C₄	C₂×D₄×C₁₁	1	4	yes	—
556	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
557	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
558	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
559	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
560	SD₁₆	—	4	8	no	—
561	D₈	—	4	8	no	—
562	C₂×C₈	—	2	4	no	—
563	C₂×C₈	—	2	4	no	—
564	C₂×C₈	—	4	8	no	—
565	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
566	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
567	C₄⋊C₄	—	2	4	no	—
568	C₄⋊C₄	—	2	2	no	—
569	C₄⋊C₄	—	2	4	no	—
570	C₄⋊C₄	—	2	4	no	—
571	C₄⋊C₄	—	2	1	no	—
572	C₄⋊C₄	—	2	1	no	—
573	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
574	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
575	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
576	C₂²⋊C₄	—	2	4	no	—
577	C₂²⋊C₄	—	2	4	no	—
578	C₂²⋊C₄	—	2	4	no	—
579	C₂²⋊C₄	—	2	8	no	—
580	C₂²⋊C₄	—	2	8	no	—
581	C₂²⋊C₄	—	2	4	no	—
582	C₂²⋊C₄	—	2	4	no	—
583	C₄²	—	2	4	no	—
584	C₁₁	C₂×#3188	1	1	yes	characteristic, direct product factor, Sylow
585	C₂³	—	2	2	no	—
586	C₂³	—	2	2	no	—
587	C₂³	—	2	2	no	—
588	C₂³	—	2	2	no	—
589	C₂³	—	2	2	no	—
590	C₂³	—	2	8	no	—
591	C₂³	—	2	2	no	—
592	C₂³	—	2	8	no	—
593	C₂³	—	2	2	no	—
594	C₂³	—	2	2	no	—
595	C₂³	—	2	4	no	—
596	C₂³	—	4	4	no	—
597	C₂³	—	4	16	no	—
598	C₂³	—	4	8	no	—
599	C₂³	—	4	8	no	—
600	C₂³	—	4	2	no	—
601	C₂³	—	4	4	no	—
602	C₂³	—	4	2	no	—
603	C₂³	—	4	8	no	—
604	C₂³	—	4	4	no	—
605	C₂³	—	4	4	no	—
606	C₂³	—	4	2	no	—
607	C₂³	—	8	16	no	—
608	C₂³	C₁₁×#135	1	4	yes	—
609	C₂³	C₁₁×AGL(1,ℤ/8)	1	4	yes	—
610	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
611	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
612	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
613	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
614	Q₈	—	2	4	no	—
615	Q₈	—	4	2	no	—
616	D₄	—	2	4	no	—
617	D₄	—	2	4	no	—
618	D₄	—	2	4	no	—
619	D₄	—	4	8	no	—
620	D₄	—	4	16	no	—
621	D₄	—	4	8	no	—
622	D₄	—	4	8	no	—
623	D₄	—	4	8	no	—
624	D₄	—	4	16	no	—
625	D₄	—	4	4	no	—
626	D₄	—	4	2	no	—
627	C₂×C₄	—	2	2	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	2	2	no	—
630	C₂×C₄	—	2	4	no	—
631	C₂×C₄	—	2	4	no	—
632	C₂×C₄	—	2	4	no	—
633	C₂×C₄	—	2	4	no	—
634	C₂×C₄	—	2	4	no	—
635	C₂×C₄	—	2	4	no	—
636	C₂×C₄	—	2	2	no	—
637	C₂×C₄	—	2	2	no	—
638	C₂×C₄	—	2	2	no	—
639	C₂×C₄	—	2	4	no	—
640	C₂×C₄	—	4	4	no	—
641	C₂×C₄	—	4	4	no	—
642	C₂×C₄	—	4	4	no	—
643	C₂×C₄	—	4	8	no	—
644	C₂×C₄	—	4	8	no	—
645	C₂×C₄	—	4	2	no	—
646	C₂×C₄	—	4	2	no	—
647	C₂×C₄	—	4	4	no	—
648	C₂×C₄	—	4	2	no	—
649	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
650	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
651	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
652	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
653	C₂×C₄	C₁₁×H(5,𝔽₂)	1	4	yes	—
654	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
655	C₈	—	2	4	no	—
656	C₈	—	2	4	no	—
657	C₂²	—	2	8	no	—
658	C₂²	—	2	8	no	—
659	C₂²	—	2	2	no	—
660	C₂²	—	2	2	no	—
661	C₂²	—	2	2	no	—
662	C₂²	—	2	2	no	—
663	C₂²	—	2	2	no	—
664	C₂²	—	2	2	no	—
665	C₂²	—	2	2	no	—
666	C₂²	—	4	16	no	—
667	C₂²	—	4	4	no	—
668	C₂²	—	4	2	no	—
669	C₂²	—	4	4	no	—
670	C₂²	—	4	2	no	—
671	C₂²	—	4	4	no	—
672	C₂²	—	4	4	no	—
673	C₂²	—	4	2	no	—
674	C₂²	—	8	16	no	—
675	C₂²	—	8	8	no	—
676	C₂²	—	8	4	no	—
677	C₂²	C₁₁×#534	1	2	yes	—
678	C₂²	C₂×C₁₁×#135	1	4	yes	—
679	C₂²	C₂×C₁₁×#135	1	2	yes	—
680	C₂²	C₂×C₁₁×AGL(1,ℤ/8)	1	4	yes	—
681	C₂²	C₂×C₁₁×AGL(1,ℤ/8)	1	2	yes	—
682	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
683	C₄	—	2	2	no	—
684	C₄	—	2	2	no	—
685	C₄	—	2	2	no	—
686	C₄	—	4	2	no	—
687	C₄	—	4	2	no	—
688	C₄	—	4	4	no	—
689	C₄	—	4	2	no	—
690	C₄	C₁₁×#534	1	2	yes	—
691	C₄	C₂×C₁₁×H(5,𝔽₂)	1	2	yes	—
692	C₂	—	2	4	no	—
693	C₂	—	2	4	no	—
694	C₂	—	4	2	no	—
695	C₂	—	8	4	no	—
696	C₂	—	8	2	no	—
697	C₂	C₁₁×#3188	1	4	yes	direct product factor
698	C₂	C₂×C₁₁×#534	1	1	yes	characteristic
699	C₂	C₂²×C₁₁×#135	1	1	yes	characteristic
700	C₂	C₂²×C₁₁×AGL(1,ℤ/8)	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₁ ◁ C₂⁴×C₄×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₁×#525	C₂	semidirect
2. C₂²×C₁₁×#121	C₂	semidirect
3. C₁₁×#3188	C₂	direct (N × H)
4. C₂×C₁₁×#484	C₂	semidirect
5. C₂×C₁₁×#481	C₂	semidirect
6. C₂×C₁₁×#482	C₂	semidirect
7. C₂×C₁₁×#466	C₂	semidirect
8. C₂×C₁₁×#465	C₂	semidirect
9. C₂×C₁₁×#449	C₂	semidirect
10. C₂×C₁₁×#450	C₂	semidirect
11. C₂×C₁₁×#447	C₂	semidirect
12. C₂²×C₁₁×C₂²⋊C₈	C₂	semidirect
13. C₂²×C₁₁×#41	C₂²	semidirect
17. C₂²×C₁₁×SD₁₆	C₂²	semidirect
18. C₂²×C₁₁×D₈	C₂²	semidirect
19. C₂³×C₈×C₁₁	C₂²	semidirect
21. C₁₁×#525	C₂²	semidirect
24. C₂×C₁₁×C₂²⋊Q₈	C₂²	semidirect
31. C₂×C₁₁×#121	C₂²	semidirect
32. C₂×C₁₁×#121	C₂²	semidirect
36. C₂×C₁₁×#117	C₂²	semidirect
39. C₁₁×#484	C₂²	semidirect
40. C₁₁×#482	C₂²	semidirect
41. C₁₁×#481	C₂²	semidirect
42. C₁₁×#466	C₂²	semidirect
43. C₁₁×#465	C₂²	semidirect
44. C₁₁×#450	C₂²	semidirect
45. C₁₁×#449	C₂²	semidirect
46. C₁₁×#447	C₂²	semidirect
47. C₂×C₁₁×#107	C₂²	semidirect
48. C₂×C₁₁×#106	C₂²	semidirect
49. C₂×C₁₁×#103	C₂²	semidirect
50. C₂×C₁₁×#102	C₂²	semidirect
51. C₂×C₁₁×#102	C₂²	semidirect
52. C₂×C₁₁×#102	C₂²	semidirect
55. C₂×C₁₁×C₂²⋊C₈	C₂²	semidirect
56. C₂×C₁₁×C₂²⋊C₈	C₂²	semidirect
61. C₂×C₁₁×#41	C₂³	semidirect
88. C₂×C₁₁×SD₁₆	C₂³	semidirect
90. C₂×C₁₁×D₈	C₂³	semidirect
94. C₂²×C₈×C₁₁	C₂³	semidirect
99. C₁₁×C₂²⋊Q₈	C₂³	semidirect
109. C₁₁×#121	C₂³	semidirect
114. C₁₁×#117	C₂³	semidirect
132. C₁₁×#107	C₂³	semidirect
133. C₁₁×#106	C₂³	semidirect
134. C₁₁×#103	C₂³	semidirect
135. C₁₁×#102	C₂³	semidirect
136. C₁₁×#102	C₂³	semidirect
137. C₁₁×#102	C₂³	semidirect
140. C₁₁×C₂²⋊C₈	C₂³	semidirect
141. C₂×#3188	C₁₁	direct (N × H)
235. C₂×#525	C₂×C₁₁	semidirect
236. C₂²×#121	C₂×C₁₁	semidirect
237. #3188	C₂×C₁₁	direct (N × H)
238. C₂×#484	C₂×C₁₁	semidirect
239. C₂×#481	C₂×C₁₁	semidirect
240. C₂×#482	C₂×C₁₁	semidirect
241. C₂×#466	C₂×C₁₁	semidirect
242. C₂×#465	C₂×C₁₁	semidirect
243. C₂×#449	C₂×C₁₁	semidirect
244. C₂×#450	C₂×C₁₁	semidirect
245. C₂×#447	C₂×C₁₁	semidirect
246. C₂²×C₂²⋊C₈	C₂×C₁₁	semidirect
319. C₂²×#41	C₂²×C₁₁	semidirect
323. C₂²×SD₁₆	C₂²×C₁₁	semidirect
324. C₂²×D₈	C₂²×C₁₁	semidirect
325. C₂³×C₈	C₂²×C₁₁	semidirect
327. #525	C₂²×C₁₁	semidirect
330. C₂×C₂²⋊Q₈	C₂²×C₁₁	semidirect
337. C₂×#121	C₂²×C₁₁	semidirect
338. C₂×#121	C₂²×C₁₁	semidirect
342. C₂×#117	C₂²×C₁₁	semidirect
345. #484	C₂²×C₁₁	semidirect
346. #482	C₂²×C₁₁	semidirect
347. #481	C₂²×C₁₁	semidirect
348. #466	C₂²×C₁₁	semidirect
349. #465	C₂²×C₁₁	semidirect
350. #450	C₂²×C₁₁	semidirect
351. #449	C₂²×C₁₁	semidirect
352. #447	C₂²×C₁₁	semidirect
353. C₂×#107	C₂²×C₁₁	semidirect
354. C₂×#106	C₂²×C₁₁	semidirect
355. C₂×#103	C₂²×C₁₁	semidirect
356. C₂×#102	C₂²×C₁₁	semidirect
357. C₂×#102	C₂²×C₁₁	semidirect
358. C₂×#102	C₂²×C₁₁	semidirect
361. C₂×C₂²⋊C₈	C₂²×C₁₁	semidirect
362. C₂×C₂²⋊C₈	C₂²×C₁₁	semidirect
402. C₂×#41	C₂³×C₁₁	semidirect
429. C₂×SD₁₆	C₂³×C₁₁	semidirect
431. C₂×D₈	C₂³×C₁₁	semidirect
435. C₂²×C₈	C₂³×C₁₁	semidirect
440. C₂²⋊Q₈	C₂³×C₁₁	semidirect
450. #121	C₂³×C₁₁	semidirect
455. #117	C₂³×C₁₁	semidirect
473. #107	C₂³×C₁₁	semidirect
474. #106	C₂³×C₁₁	semidirect
475. #103	C₂³×C₁₁	semidirect
476. #102	C₂³×C₁₁	semidirect
477. #102	C₂³×C₁₁	semidirect
478. #102	C₂³×C₁₁	semidirect
481. C₂²⋊C₈	C₂³×C₁₁	semidirect
487. C₂×C₁₁	#3188	direct (N × H)
584. C₁₁	C₂×#3188	direct (N × H)
697. C₂	C₁₁×#3188	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×#525	2
C₂²×C₁₁×#121	2
C₁₁×#3188	2
C₂×C₁₁×#484	2
C₂×C₁₁×#481	2
C₂×C₁₁×#482	2
C₂×C₁₁×#466	2
C₂×C₁₁×#465	2
C₂×C₁₁×#449	2
C₂×C₁₁×#450	2
C₂×C₁₁×#447	2
C₂²×C₁₁×C₂²⋊C₈	2
C₂×#3188	11

Subgroups — C2×C11×#3188 #14637923

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₁×#3188 #14637923