Subgroups — C₂×D₄×C₁₁×#41 #14639894

Order 2816.

12314 conjugacy classes of subgroups.

The subgroup lattice has 584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×C₁₁×#41	C₂	1	2	yes	maximal, complemented
2	D₄×C₁₁×#41	C₂	1	32	yes	maximal, direct product factor
3	C₂×C₁₁×#550	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×D₄×Q₈×C₁₁	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₁×#548	C₂	1	2	yes	maximal, complemented
6	C₂×C₁₁×#547	C₂	1	3	yes	maximal, complemented
7	C₂×C₁₁×#546	C₂	1	6	yes	maximal, complemented
8	C₂×D₄²×C₁₁	C₂	1	3	yes	maximal, complemented
9	C₂×C₁₁×#532	C₂	1	3	yes	maximal, complemented
10	C₂×C₁₁×#525	C₂	1	6	yes	maximal, complemented
11	C₂×C₄×C₁₁×#41	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×C₄×D₄×C₁₁	C₂	1	3	yes	maximal, complemented
13	C₂²×C₁₁×#41	—	2	32	no	—
14	C₂²×C₁₁×#41	C₂²	1	1	yes	characteristic
15	C₂²×C₁₁×#41	C₂²	1	6	yes	complemented
16	C₂²×C₁₁×#41	C₂²	1	6	yes	complemented
17	C₂²×C₁₁×#41	C₂²	1	2	yes	complemented
18	C₂²×C₁₁×#41	C₂²	1	32	yes	complemented
19	C₂³×Q₈×C₁₁	C₂²	1	2	yes	complemented
20	C₂³×D₄×C₁₁	C₂²	1	3	yes	—
21	C₂³×D₄×C₁₁	C₂²	1	6	yes	complemented
22	C₂⁴×C₄×C₁₁	C₂²	1	6	yes	complemented
23	C₁₁×#550	C₂²	1	16	yes	complemented
24	D₄×Q₈×C₁₁	C₂²	1	16	yes	complemented
25	C₁₁×#548	C₂²	1	32	yes	complemented
26	C₁₁×#547	C₂²	1	48	yes	complemented
27	C₁₁×#546	C₂²	1	96	yes	complemented
28	D₄²×C₁₁	C₂²	1	48	yes	complemented
29	C₁₁×#532	C₂²	1	48	yes	complemented
30	C₂×C₁₁×C₄⋊Q₈	C₂²	1	3	yes	complemented
31	C₂×C₁₁×#127	C₂²	1	3	yes	complemented
32	C₂×C₁₁×#124	C₂²	1	6	yes	complemented
33	C₁₁×#525	C₂²	1	96	yes	complemented
34	C₂×C₁₁×#123	C₂²	1	12	yes	complemented
35	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	6	yes	complemented
36	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	6	yes	complemented
37	C₂×C₁₁×#121	C₂²	1	6	yes	complemented
38	C₂×C₁₁×#121	C₂²	1	6	yes	complemented
39	C₂×C₁₁×#121	C₂²	1	6	yes	complemented
40	C₂×C₁₁×#121	C₂²	1	6	yes	complemented
41	C₂×C₁₁×#120	C₂²	1	12	yes	complemented
42	C₄×C₁₁×#41	C₂²	1	16	yes	complemented
43	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₁	C₂²	1	3	yes	—
47	C₂×C₄×D₄×C₁₁	C₂²	1	6	yes	complemented
48	C₂×C₄×D₄×C₁₁	C₂²	1	3	yes	complemented
49	C₂×C₄×D₄×C₁₁	C₂²	1	6	yes	complemented
50	C₂×C₄×D₄×C₁₁	C₂²	1	3	yes	complemented
51	C₂×C₄×D₄×C₁₁	C₂²	1	3	yes	complemented
52	C₂×C₄×D₄×C₁₁	C₂²	1	3	yes	complemented
53	C₂×C₄×D₄×C₁₁	C₂²	1	6	yes	complemented
54	C₂×C₄×D₄×C₁₁	C₂²	1	48	yes	complemented
55	C₂×C₁₁×#117	C₂²	1	3	yes	complemented
56	C₂²×C₁₁×C₄⋊C₄	C₂²	1	3	yes	complemented
57	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	6	yes	complemented
58	C₂²×C₄²×C₁₁	C₂²	1	3	yes	complemented
59	C₂⁵×C₁₁	C₂³	1	6	yes	—
60	C₂×C₁₁×#41	—	2	256	no	—
61	C₂×C₁₁×#41	—	2	16	no	—
62	C₂×C₁₁×#41	—	2	48	no	—
63	C₂×C₁₁×#41	—	2	48	no	—
64	C₂×C₁₁×#41	D₄	1	16	yes	direct product factor
65	C₂×C₁₁×#41	C₂³	1	8	yes	—
66	C₂×C₁₁×#41	C₂³	1	48	yes	complemented
67	C₂×C₁₁×#41	C₂³	1	48	yes	complemented
68	C₂×C₁₁×#41	C₂³	1	16	yes	complemented
69	C₂²×Q₈×C₁₁	—	2	16	no	—
70	C₂²×Q₈×C₁₁	C₂³	1	6	yes	—
71	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
72	C₂²×Q₈×C₁₁	C₂³	1	16	yes	complemented
73	C₂²×D₄×C₁₁	—	2	48	no	—
74	C₂²×D₄×C₁₁	—	2	24	no	—
75	C₂²×D₄×C₁₁	C₂³	1	6	yes	—
76	C₂²×D₄×C₁₁	C₂³	1	3	yes	—
77	C₂²×D₄×C₁₁	C₂³	1	24	yes	—
78	C₂²×D₄×C₁₁	C₂³	1	12	yes	—
79	C₂²×D₄×C₁₁	C₂³	1	6	yes	—
80	C₂²×D₄×C₁₁	C₂³	1	6	yes	—
81	C₂²×D₄×C₁₁	C₂³	1	3	yes	—
82	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
83	C₂²×D₄×C₁₁	C₂³	1	48	yes	complemented
84	C₂³×C₄×C₁₁	—	2	48	no	—
85	C₂³×C₄×C₁₁	C₂³	1	3	yes	—
86	C₂³×C₄×C₁₁	C₂³	1	6	yes	—
87	C₂³×C₄×C₁₁	C₂³	1	6	yes	—
88	C₂³×C₄×C₁₁	C₂³	1	6	yes	—
89	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
90	C₂³×C₄×C₁₁	C₂³	1	6	yes	—
91	C₂³×C₄×C₁₁	C₂³	1	3	yes	—
92	C₂³×C₄×C₁₁	C₂³	1	3	yes	—
93	C₂³×C₄×C₁₁	C₂³	1	48	yes	complemented
94	C₁₁×C₄⋊Q₈	C₂³	1	24	yes	complemented
95	C₁₁×#127	C₂³	1	24	yes	complemented
96	C₁₁×#124	C₂³	1	48	yes	complemented
97	C₁₁×#123	C₂³	1	96	yes	complemented
98	C₁₁×C₂²⋊Q₈	C₂³	1	48	yes	complemented
99	C₁₁×C₂²⋊Q₈	C₂³	1	48	yes	complemented
100	C₁₁×#121	C₂³	1	48	yes	complemented
101	C₁₁×#121	C₂³	1	48	yes	complemented
102	C₁₁×#121	C₂³	1	48	yes	complemented
103	C₁₁×#121	C₂³	1	48	yes	complemented
104	C₁₁×#120	C₂³	1	96	yes	complemented
105	C₄×Q₈×C₁₁	C₂³	1	8	yes	complemented
106	C₄×Q₈×C₁₁	C₂³	1	8	yes	complemented
107	C₄×D₄×C₁₁	C₂³	1	8	yes	—
108	C₄×D₄×C₁₁	C₂³	1	24	yes	—
109	C₄×D₄×C₁₁	C₂³	1	48	yes	complemented
110	C₄×D₄×C₁₁	C₂³	1	24	yes	complemented
111	C₄×D₄×C₁₁	C₂³	1	48	yes	complemented
112	C₄×D₄×C₁₁	C₂³	1	24	yes	complemented
113	C₄×D₄×C₁₁	C₂³	1	24	yes	complemented
114	C₄×D₄×C₁₁	C₂³	1	24	yes	complemented
115	C₄×D₄×C₁₁	C₂³	1	48	yes	complemented
116	C₁₁×#117	C₂³	1	24	yes	complemented
117	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
118	C₂×C₁₁×C₄⋊C₄	C₂³	1	3	yes	—
119	C₂×C₁₁×C₄⋊C₄	C₂³	1	6	yes	—
120	C₂×C₁₁×C₄⋊C₄	C₂³	1	3	yes	—
121	C₂×C₁₁×C₄⋊C₄	C₂³	1	3	yes	—
122	C₂×C₁₁×C₄⋊C₄	C₂³	1	6	yes	—
123	C₂×C₁₁×C₄⋊C₄	C₂³	1	24	yes	complemented
124	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
125	C₂×C₁₁×C₂²⋊C₄	C₂³	1	6	yes	—
126	C₂×C₁₁×C₂²⋊C₄	C₂³	1	6	yes	—
127	C₂×C₁₁×C₂²⋊C₄	C₂³	1	6	yes	—
128	C₂×C₁₁×C₂²⋊C₄	C₂³	1	6	yes	—
129	C₂×C₁₁×C₂²⋊C₄	C₂³	1	12	yes	—
130	C₂×C₁₁×C₂²⋊C₄	C₂³	1	48	yes	complemented
131	C₂×C₄²×C₁₁	C₂³	1	3	yes	—
132	C₂×C₄²×C₁₁	C₂³	1	3	yes	—
133	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
134	C₂×C₄²×C₁₁	C₂³	1	3	yes	—
135	C₂×C₄²×C₁₁	C₂³	1	24	yes	complemented
136	C₂×D₄×#41	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
137	C₂⁴×C₁₁	—	2	24	no	—
138	C₂⁴×C₁₁	—	2	24	no	—
139	C₂⁴×C₁₁	—	4	12	no	—
140	C₂⁴×C₁₁	C₂⁴	1	6	yes	—
141	C₂⁴×C₁₁	C₂⁴	1	24	yes	—
142	C₂⁴×C₁₁	C₂⁴	1	3	yes	—
143	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
144	C₁₁×#41	—	2	64	no	—
145	C₁₁×#41	—	2	192	no	—
146	C₁₁×#41	—	2	192	no	—
147	C₁₁×#41	C₂×D₄	1	64	yes	direct product factor
148	C₂×Q₈×C₁₁	—	2	64	no	—
149	C₂×Q₈×C₁₁	—	2	24	no	—
150	C₂×Q₈×C₁₁	C₂×D₄	1	8	yes	complemented
151	C₂×Q₈×C₁₁	C₂⁴	1	24	yes	—
152	C₂×Q₈×C₁₁	C₂⁴	1	4	yes	—
153	C₂×D₄×C₁₁	—	2	48	no	—
154	C₂×D₄×C₁₁	—	2	24	no	—
155	C₂×D₄×C₁₁	—	2	192	no	—
156	C₂×D₄×C₁₁	—	2	96	no	—
157	C₂×D₄×C₁₁	—	2	24	no	—
158	C₂×D₄×C₁₁	—	2	12	no	—
159	C₂×D₄×C₁₁	—	4	12	no	—
160	C₂×D₄×C₁₁	C₂×D₄	1	24	yes	complemented
161	C₂×D₄×C₁₁	#41	1	8	yes	direct product factor
162	C₂×D₄×C₁₁	C₂⁴	1	24	yes	—
163	C₂×D₄×C₁₁	C₂⁴	1	12	yes	—
164	C₂×D₄×C₁₁	C₂⁴	1	48	yes	—
165	C₂×D₄×C₁₁	C₂⁴	1	24	yes	—
166	C₂×D₄×C₁₁	C₂⁴	1	24	yes	—
167	C₂×D₄×C₁₁	C₂⁴	1	12	yes	—
168	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
169	C₂²×C₄×C₁₁	—	2	24	no	—
170	C₂²×C₄×C₁₁	—	2	8	no	—
171	C₂²×C₄×C₁₁	—	2	24	no	—
172	C₂²×C₄×C₁₁	—	2	24	no	—
173	C₂²×C₄×C₁₁	—	2	24	no	—
174	C₂²×C₄×C₁₁	—	2	192	no	—
175	C₂²×C₄×C₁₁	—	2	12	no	—
176	C₂²×C₄×C₁₁	—	4	6	no	—
177	C₂²×C₄×C₁₁	C₂×D₄	1	24	yes	complemented
178	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
179	C₂²×C₄×C₁₁	C₂⁴	1	3	yes	—
180	C₂²×C₄×C₁₁	C₂⁴	1	3	yes	—
181	C₂²×C₄×C₁₁	C₂⁴	1	12	yes	—
182	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
183	C₂²×C₄×C₁₁	C₂⁴	1	6	yes	—
184	C₂²×C₄×C₁₁	C₂⁴	1	24	yes	—
185	C₂²×C₄×C₁₁	C₂⁴	1	8	yes	—
186	C₂²×C₄×C₁₁	C₂⁴	1	24	yes	—
187	C₂²×C₄×C₁₁	C₂⁴	1	24	yes	—
188	C₂²×C₄×C₁₁	C₂⁴	1	24	yes	—
189	C₂²×C₄×C₁₁	C₂⁴	1	12	yes	—
190	C₂²×C₄×C₁₁	C₂⁴	1	3	yes	—
191	C₂²×C₄×C₁₁	C₂⁴	1	12	yes	—
192	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
193	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
194	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
195	C₁₁×C₄⋊C₄	C₂⁴	1	12	yes	—
196	C₁₁×C₄⋊C₄	C₂⁴	1	24	yes	—
197	C₁₁×C₄⋊C₄	C₂⁴	1	12	yes	—
198	C₁₁×C₄⋊C₄	C₂⁴	1	12	yes	—
199	C₁₁×C₄⋊C₄	C₂⁴	1	24	yes	—
200	C₁₁×C₂²⋊C₄	C₂⁴	1	8	yes	—
201	C₁₁×C₂²⋊C₄	C₂⁴	1	24	yes	—
202	C₁₁×C₂²⋊C₄	C₂⁴	1	24	yes	—
203	C₁₁×C₂²⋊C₄	C₂⁴	1	24	yes	—
204	C₁₁×C₂²⋊C₄	C₂⁴	1	24	yes	—
205	C₁₁×C₂²⋊C₄	C₂⁴	1	48	yes	—
206	C₄²×C₁₁	C₂⁴	1	4	yes	—
207	C₄²×C₁₁	C₂⁴	1	12	yes	—
208	C₄²×C₁₁	C₂⁴	1	12	yes	—
209	C₄²×C₁₁	C₂⁴	1	12	yes	—
210	C₂³×#41	C₂×C₁₁	1	2	yes	complemented
211	D₄×#41	C₂×C₁₁	1	32	yes	direct product factor
212	C₂×#550	C₂×C₁₁	1	1	yes	characteristic, complemented
213	C₂×D₄×Q₈	C₂×C₁₁	1	1	yes	characteristic, complemented
214	C₂×#548	C₂×C₁₁	1	2	yes	complemented
215	C₂×#547	C₂×C₁₁	1	3	yes	complemented
216	C₂×#546	C₂×C₁₁	1	6	yes	complemented
217	C₂×D₄²	C₂×C₁₁	1	3	yes	complemented
218	C₂×#532	C₂×C₁₁	1	3	yes	complemented
219	C₂×#525	C₂×C₁₁	1	6	yes	complemented
220	C₂×C₄×#41	C₂×C₁₁	1	1	yes	characteristic, complemented
221	C₂²×C₄×D₄	C₂×C₁₁	1	3	yes	complemented
222	C₂³×C₁₁	—	2	4	no	—
223	C₂³×C₁₁	—	2	6	no	—
224	C₂³×C₁₁	—	2	6	no	—
225	C₂³×C₁₁	—	2	4	no	—
226	C₂³×C₁₁	—	2	48	no	—
227	C₂³×C₁₁	—	2	12	no	—
228	C₂³×C₁₁	—	2	12	no	—
229	C₂³×C₁₁	—	2	48	no	—
230	C₂³×C₁₁	—	2	12	no	—
231	C₂³×C₁₁	—	4	24	no	—
232	C₂³×C₁₁	—	4	96	no	—
233	C₂³×C₁₁	C₂²×D₄	1	12	yes	—
234	C₂³×C₁₁	C₂×#41	1	8	yes	complemented
235	C₂³×C₁₁	C₂⁵	1	12	yes	—
236	C₂³×C₁₁	C₂⁵	1	6	yes	—
237	C₂³×C₁₁	C₂⁵	1	4	yes	—
238	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
239	Q₈×C₁₁	—	2	48	no	—
240	Q₈×C₁₁	C₂²×D₄	1	16	yes	complemented
241	D₄×C₁₁	—	2	96	no	—
242	D₄×C₁₁	—	2	48	no	—
243	D₄×C₁₁	—	2	48	no	—
244	D₄×C₁₁	—	2	24	no	—
245	D₄×C₁₁	—	4	24	no	—
246	D₄×C₁₁	C₂²×D₄	1	48	yes	complemented
247	D₄×C₁₁	C₂×#41	1	16	yes	direct product factor
248	C₂×C₄×C₁₁	—	2	4	no	—
249	C₂×C₄×C₁₁	—	2	12	no	—
250	C₂×C₄×C₁₁	—	2	48	no	—
251	C₂×C₄×C₁₁	—	2	6	no	—
252	C₂×C₄×C₁₁	—	2	2	no	—
253	C₂×C₄×C₁₁	—	2	6	no	—
254	C₂×C₄×C₁₁	—	2	16	no	—
255	C₂×C₄×C₁₁	—	2	48	no	—
256	C₂×C₄×C₁₁	—	2	48	no	—
257	C₂×C₄×C₁₁	—	2	48	no	—
258	C₂×C₄×C₁₁	—	2	24	no	—
259	C₂×C₄×C₁₁	—	4	12	no	—
260	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
261	C₂×C₄×C₁₁	C₂²×D₄	1	12	yes	—
262	C₂×C₄×C₁₁	C₂²×D₄	1	48	yes	complemented
263	C₂×C₄×C₁₁	C₂×#41	1	4	yes	complemented
264	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
265	C₂×C₄×C₁₁	C₂⁵	1	6	yes	—
266	C₂×C₄×C₁₁	C₂⁵	1	6	yes	—
267	C₂×C₄×C₁₁	C₂⁵	1	4	yes	—
268	C₂×C₄×C₁₁	C₂⁵	1	12	yes	—
269	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
270	C₂×C₄×C₁₁	C₂⁵	1	6	yes	—
271	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
272	C₂²×#41	—	2	32	no	—
273	C₂²×#41	C₂²×C₁₁	1	1	yes	characteristic
274	C₂²×#41	C₂²×C₁₁	1	6	yes	complemented
275	C₂²×#41	C₂²×C₁₁	1	6	yes	complemented
276	C₂²×#41	C₂²×C₁₁	1	2	yes	complemented
277	C₂²×#41	C₂²×C₁₁	1	32	yes	complemented
278	C₂³×Q₈	C₂²×C₁₁	1	2	yes	complemented
279	C₂³×D₄	C₂²×C₁₁	1	3	yes	—
280	C₂³×D₄	C₂²×C₁₁	1	6	yes	complemented
281	C₂⁴×C₄	C₂²×C₁₁	1	6	yes	complemented
282	#550	C₂²×C₁₁	1	16	yes	complemented
283	D₄×Q₈	C₂²×C₁₁	1	16	yes	complemented
284	#548	C₂²×C₁₁	1	32	yes	complemented
285	#547	C₂²×C₁₁	1	48	yes	complemented
286	#546	C₂²×C₁₁	1	96	yes	complemented
287	D₄²	C₂²×C₁₁	1	48	yes	complemented
288	#532	C₂²×C₁₁	1	48	yes	complemented
289	C₂×C₄⋊Q₈	C₂²×C₁₁	1	3	yes	complemented
290	C₂×#127	C₂²×C₁₁	1	3	yes	complemented
291	C₂×#124	C₂²×C₁₁	1	6	yes	complemented
292	#525	C₂²×C₁₁	1	96	yes	complemented
293	C₂×#123	C₂²×C₁₁	1	12	yes	complemented
294	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	6	yes	complemented
295	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	6	yes	complemented
296	C₂×#121	C₂²×C₁₁	1	6	yes	complemented
297	C₂×#121	C₂²×C₁₁	1	6	yes	complemented
298	C₂×#121	C₂²×C₁₁	1	6	yes	complemented
299	C₂×#121	C₂²×C₁₁	1	6	yes	complemented
300	C₂×#120	C₂²×C₁₁	1	12	yes	complemented
301	C₄×#41	C₂²×C₁₁	1	16	yes	complemented
302	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
303	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
304	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
305	C₂×C₄×D₄	C₂²×C₁₁	1	3	yes	—
306	C₂×C₄×D₄	C₂²×C₁₁	1	6	yes	complemented
307	C₂×C₄×D₄	C₂²×C₁₁	1	3	yes	complemented
308	C₂×C₄×D₄	C₂²×C₁₁	1	6	yes	complemented
309	C₂×C₄×D₄	C₂²×C₁₁	1	3	yes	complemented
310	C₂×C₄×D₄	C₂²×C₁₁	1	3	yes	complemented
311	C₂×C₄×D₄	C₂²×C₁₁	1	3	yes	complemented
312	C₂×C₄×D₄	C₂²×C₁₁	1	6	yes	complemented
313	C₂×C₄×D₄	C₂²×C₁₁	1	48	yes	complemented
314	C₂×#117	C₂²×C₁₁	1	3	yes	complemented
315	C₂²×C₄⋊C₄	C₂²×C₁₁	1	3	yes	complemented
316	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	6	yes	complemented
317	C₂²×C₄²	C₂²×C₁₁	1	3	yes	complemented
318	C₂²×C₁₁	—	2	4	no	—
319	C₂²×C₁₁	—	2	6	no	—
320	C₂²×C₁₁	—	2	6	no	—
321	C₂²×C₁₁	—	2	4	no	—
322	C₂²×C₁₁	—	2	16	no	—
323	C₂²×C₁₁	—	2	24	no	—
324	C₂²×C₁₁	—	2	12	no	—
325	C₂²×C₁₁	—	2	12	no	—
326	C₂²×C₁₁	—	2	12	no	—
327	C₂²×C₁₁	—	4	96	no	—
328	C₂²×C₁₁	—	4	24	no	—
329	C₂²×C₁₁	C₂³×D₄	1	12	yes	—
330	C₂²×C₁₁	C₂³×D₄	1	2	yes	—
331	C₂²×C₁₁	C₂²×#41	1	2	yes	—
332	C₂²×C₁₁	C₂²×#41	1	8	yes	complemented
333	C₂²×C₁₁	#585	1	2	yes	—
334	C₂²×C₁₁	C₂⁶	1	1	yes	characteristic
335	C₄×C₁₁	—	2	4	no	—
336	C₄×C₁₁	—	2	12	no	—
337	C₄×C₁₁	—	2	6	no	—
338	C₄×C₁₁	—	2	2	no	—
339	C₄×C₁₁	—	2	6	no	—
340	C₄×C₁₁	C₂³×D₄	1	4	yes	—
341	C₄×C₁₁	C₂³×D₄	1	12	yes	—
342	C₄×C₁₁	C₂²×#41	1	4	yes	complemented
343	C₂⁵	C₂³×C₁₁	1	6	yes	—
344	C₂×#41	—	2	256	no	—
345	C₂×#41	—	2	16	no	—
346	C₂×#41	—	2	48	no	—
347	C₂×#41	—	2	48	no	—
348	C₂×#41	D₄×C₁₁	1	16	yes	direct product factor
349	C₂×#41	C₂³×C₁₁	1	8	yes	—
350	C₂×#41	C₂³×C₁₁	1	48	yes	complemented
351	C₂×#41	C₂³×C₁₁	1	48	yes	complemented
352	C₂×#41	C₂³×C₁₁	1	16	yes	complemented
353	C₂²×Q₈	—	2	16	no	—
354	C₂²×Q₈	C₂³×C₁₁	1	6	yes	—
355	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
356	C₂²×Q₈	C₂³×C₁₁	1	16	yes	complemented
357	C₂²×D₄	—	2	48	no	—
358	C₂²×D₄	—	2	24	no	—
359	C₂²×D₄	C₂³×C₁₁	1	6	yes	—
360	C₂²×D₄	C₂³×C₁₁	1	3	yes	—
361	C₂²×D₄	C₂³×C₁₁	1	24	yes	—
362	C₂²×D₄	C₂³×C₁₁	1	12	yes	—
363	C₂²×D₄	C₂³×C₁₁	1	6	yes	—
364	C₂²×D₄	C₂³×C₁₁	1	6	yes	—
365	C₂²×D₄	C₂³×C₁₁	1	3	yes	—
366	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
367	C₂²×D₄	C₂³×C₁₁	1	48	yes	complemented
368	C₂³×C₄	—	2	48	no	—
369	C₂³×C₄	C₂³×C₁₁	1	6	yes	—
370	C₂³×C₄	C₂³×C₁₁	1	3	yes	—
371	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
372	C₂³×C₄	C₂³×C₁₁	1	6	yes	—
373	C₂³×C₄	C₂³×C₁₁	1	6	yes	—
374	C₂³×C₄	C₂³×C₁₁	1	6	yes	—
375	C₂³×C₄	C₂³×C₁₁	1	3	yes	—
376	C₂³×C₄	C₂³×C₁₁	1	3	yes	—
377	C₂³×C₄	C₂³×C₁₁	1	48	yes	complemented
378	C₄⋊Q₈	C₂³×C₁₁	1	24	yes	complemented
379	#127	C₂³×C₁₁	1	24	yes	complemented
380	#124	C₂³×C₁₁	1	48	yes	complemented
381	#123	C₂³×C₁₁	1	96	yes	complemented
382	C₂²⋊Q₈	C₂³×C₁₁	1	48	yes	complemented
383	C₂²⋊Q₈	C₂³×C₁₁	1	48	yes	complemented
384	#121	C₂³×C₁₁	1	48	yes	complemented
385	#121	C₂³×C₁₁	1	48	yes	complemented
386	#121	C₂³×C₁₁	1	48	yes	complemented
387	#121	C₂³×C₁₁	1	48	yes	complemented
388	#120	C₂³×C₁₁	1	96	yes	complemented
389	C₄×Q₈	C₂³×C₁₁	1	8	yes	complemented
390	C₄×Q₈	C₂³×C₁₁	1	8	yes	complemented
391	C₄×D₄	C₂³×C₁₁	1	8	yes	—
392	C₄×D₄	C₂³×C₁₁	1	24	yes	—
393	C₄×D₄	C₂³×C₁₁	1	48	yes	complemented
394	C₄×D₄	C₂³×C₁₁	1	24	yes	complemented
395	C₄×D₄	C₂³×C₁₁	1	48	yes	complemented
396	C₄×D₄	C₂³×C₁₁	1	24	yes	complemented
397	C₄×D₄	C₂³×C₁₁	1	24	yes	complemented
398	C₄×D₄	C₂³×C₁₁	1	24	yes	complemented
399	C₄×D₄	C₂³×C₁₁	1	48	yes	complemented
400	#117	C₂³×C₁₁	1	24	yes	complemented
401	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
402	C₂×C₄⋊C₄	C₂³×C₁₁	1	3	yes	—
403	C₂×C₄⋊C₄	C₂³×C₁₁	1	6	yes	—
404	C₂×C₄⋊C₄	C₂³×C₁₁	1	3	yes	—
405	C₂×C₄⋊C₄	C₂³×C₁₁	1	3	yes	—
406	C₂×C₄⋊C₄	C₂³×C₁₁	1	6	yes	—
407	C₂×C₄⋊C₄	C₂³×C₁₁	1	24	yes	complemented
408	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
409	C₂×C₂²⋊C₄	C₂³×C₁₁	1	6	yes	—
410	C₂×C₂²⋊C₄	C₂³×C₁₁	1	6	yes	—
411	C₂×C₂²⋊C₄	C₂³×C₁₁	1	6	yes	—
412	C₂×C₂²⋊C₄	C₂³×C₁₁	1	6	yes	—
413	C₂×C₂²⋊C₄	C₂³×C₁₁	1	12	yes	—
414	C₂×C₂²⋊C₄	C₂³×C₁₁	1	48	yes	complemented
415	C₂×C₄²	C₂³×C₁₁	1	3	yes	—
416	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
417	C₂×C₄²	C₂³×C₁₁	1	3	yes	—
418	C₂×C₄²	C₂³×C₁₁	1	3	yes	—
419	C₂×C₄²	C₂³×C₁₁	1	24	yes	complemented
420	C₂×C₁₁	—	2	8	no	—
421	C₂×C₁₁	—	2	12	no	—
422	C₂×C₁₁	—	4	12	no	—
423	C₂×C₁₁	D₄×#41	1	4	yes	direct product factor
424	C₂×C₁₁	C₂⁴×D₄	1	1	yes	characteristic
425	C₂×C₁₁	C₂³×#41	1	1	yes	characteristic
426	C₂×C₁₁	C₂×#585	1	1	yes	characteristic
427	C₂⁴	—	2	24	no	—
428	C₂⁴	—	2	24	no	—
429	C₂⁴	—	4	12	no	—
430	C₂⁴	C₂⁴×C₁₁	1	6	yes	—
431	C₂⁴	C₂⁴×C₁₁	1	24	yes	—
432	C₂⁴	C₂⁴×C₁₁	1	3	yes	—
433	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
434	#41	—	2	64	no	—
435	#41	—	2	192	no	—
436	#41	—	2	192	no	—
437	#41	C₂×D₄×C₁₁	1	64	yes	direct product factor
438	C₂×Q₈	—	2	64	no	—
439	C₂×Q₈	—	2	24	no	—
440	C₂×Q₈	C₂×D₄×C₁₁	1	8	yes	complemented
441	C₂×Q₈	C₂⁴×C₁₁	1	24	yes	—
442	C₂×Q₈	C₂⁴×C₁₁	1	4	yes	—
443	C₂×D₄	—	2	48	no	—
444	C₂×D₄	—	2	24	no	—
445	C₂×D₄	—	2	192	no	—
446	C₂×D₄	—	2	96	no	—
447	C₂×D₄	—	2	24	no	—
448	C₂×D₄	—	2	12	no	—
449	C₂×D₄	—	4	12	no	—
450	C₂×D₄	C₂×D₄×C₁₁	1	24	yes	complemented
451	C₂×D₄	C₁₁×#41	1	8	yes	direct product factor
452	C₂×D₄	C₂⁴×C₁₁	1	24	yes	—
453	C₂×D₄	C₂⁴×C₁₁	1	12	yes	—
454	C₂×D₄	C₂⁴×C₁₁	1	48	yes	—
455	C₂×D₄	C₂⁴×C₁₁	1	24	yes	—
456	C₂×D₄	C₂⁴×C₁₁	1	24	yes	—
457	C₂×D₄	C₂⁴×C₁₁	1	12	yes	—
458	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
459	C₂²×C₄	—	2	24	no	—
460	C₂²×C₄	—	2	8	no	—
461	C₂²×C₄	—	2	24	no	—
462	C₂²×C₄	—	2	24	no	—
463	C₂²×C₄	—	2	24	no	—
464	C₂²×C₄	—	2	192	no	—
465	C₂²×C₄	—	2	12	no	—
466	C₂²×C₄	—	4	6	no	—
467	C₂²×C₄	C₂×D₄×C₁₁	1	24	yes	complemented
468	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
469	C₂²×C₄	C₂⁴×C₁₁	1	3	yes	—
470	C₂²×C₄	C₂⁴×C₁₁	1	3	yes	—
471	C₂²×C₄	C₂⁴×C₁₁	1	12	yes	—
472	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
473	C₂²×C₄	C₂⁴×C₁₁	1	6	yes	—
474	C₂²×C₄	C₂⁴×C₁₁	1	24	yes	—
475	C₂²×C₄	C₂⁴×C₁₁	1	8	yes	—
476	C₂²×C₄	C₂⁴×C₁₁	1	24	yes	—
477	C₂²×C₄	C₂⁴×C₁₁	1	24	yes	—
478	C₂²×C₄	C₂⁴×C₁₁	1	24	yes	—
479	C₂²×C₄	C₂⁴×C₁₁	1	12	yes	—
480	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
481	C₂²×C₄	C₂⁴×C₁₁	1	3	yes	—
482	C₂²×C₄	C₂⁴×C₁₁	1	12	yes	—
483	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
484	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
485	C₄⋊C₄	C₂⁴×C₁₁	1	12	yes	—
486	C₄⋊C₄	C₂⁴×C₁₁	1	24	yes	—
487	C₄⋊C₄	C₂⁴×C₁₁	1	12	yes	—
488	C₄⋊C₄	C₂⁴×C₁₁	1	12	yes	—
489	C₄⋊C₄	C₂⁴×C₁₁	1	24	yes	—
490	C₂²⋊C₄	C₂⁴×C₁₁	1	8	yes	—
491	C₂²⋊C₄	C₂⁴×C₁₁	1	24	yes	—
492	C₂²⋊C₄	C₂⁴×C₁₁	1	24	yes	—
493	C₂²⋊C₄	C₂⁴×C₁₁	1	24	yes	—
494	C₂²⋊C₄	C₂⁴×C₁₁	1	24	yes	—
495	C₂²⋊C₄	C₂⁴×C₁₁	1	48	yes	—
496	C₄²	C₂⁴×C₁₁	1	4	yes	—
497	C₄²	C₂⁴×C₁₁	1	12	yes	—
498	C₄²	C₂⁴×C₁₁	1	12	yes	—
499	C₄²	C₂⁴×C₁₁	1	12	yes	—
500	C₁₁	C₂×D₄×#41	1	1	yes	characteristic, direct product factor, Sylow
501	C₂³	—	2	4	no	—
502	C₂³	—	2	6	no	—
503	C₂³	—	2	6	no	—
504	C₂³	—	2	4	no	—
505	C₂³	—	2	48	no	—
506	C₂³	—	2	12	no	—
507	C₂³	—	2	12	no	—
508	C₂³	—	2	48	no	—
509	C₂³	—	2	12	no	—
510	C₂³	—	4	24	no	—
511	C₂³	—	4	96	no	—
512	C₂³	C₂²×D₄×C₁₁	1	12	yes	—
513	C₂³	C₂×C₁₁×#41	1	8	yes	complemented
514	C₂³	C₂⁵×C₁₁	1	12	yes	—
515	C₂³	C₂⁵×C₁₁	1	6	yes	—
516	C₂³	C₂⁵×C₁₁	1	4	yes	—
517	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
518	Q₈	—	2	48	no	—
519	Q₈	C₂²×D₄×C₁₁	1	16	yes	complemented
520	D₄	—	2	96	no	—
521	D₄	—	2	48	no	—
522	D₄	—	2	48	no	—
523	D₄	—	2	24	no	—
524	D₄	—	4	24	no	—
525	D₄	C₂²×D₄×C₁₁	1	48	yes	complemented
526	D₄	C₂×C₁₁×#41	1	16	yes	direct product factor
527	C₂×C₄	—	2	4	no	—
528	C₂×C₄	—	2	12	no	—
529	C₂×C₄	—	2	48	no	—
530	C₂×C₄	—	2	6	no	—
531	C₂×C₄	—	2	2	no	—
532	C₂×C₄	—	2	6	no	—
533	C₂×C₄	—	2	16	no	—
534	C₂×C₄	—	2	48	no	—
535	C₂×C₄	—	2	48	no	—
536	C₂×C₄	—	2	48	no	—
537	C₂×C₄	—	2	24	no	—
538	C₂×C₄	—	4	12	no	—
539	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
540	C₂×C₄	C₂²×D₄×C₁₁	1	12	yes	—
541	C₂×C₄	C₂²×D₄×C₁₁	1	48	yes	complemented
542	C₂×C₄	C₂×C₁₁×#41	1	4	yes	complemented
543	C₂×C₄	C₂⁵×C₁₁	1	2	yes	—
544	C₂×C₄	C₂⁵×C₁₁	1	6	yes	—
545	C₂×C₄	C₂⁵×C₁₁	1	6	yes	—
546	C₂×C₄	C₂⁵×C₁₁	1	4	yes	—
547	C₂×C₄	C₂⁵×C₁₁	1	12	yes	—
548	C₂×C₄	C₂⁵×C₁₁	1	2	yes	—
549	C₂×C₄	C₂⁵×C₁₁	1	6	yes	—
550	C₂×C₄	C₂⁵×C₁₁	1	2	yes	—
551	C₂²	—	2	16	no	—
552	C₂²	—	2	24	no	—
553	C₂²	—	2	4	no	—
554	C₂²	—	2	6	no	—
555	C₂²	—	2	6	no	—
556	C₂²	—	2	4	no	—
557	C₂²	—	2	12	no	—
558	C₂²	—	2	12	no	—
559	C₂²	—	2	12	no	—
560	C₂²	—	4	96	no	—
561	C₂²	—	4	24	no	—
562	C₂²	C₂³×D₄×C₁₁	1	12	yes	—
563	C₂²	C₂³×D₄×C₁₁	1	2	yes	—
564	C₂²	C₂²×C₁₁×#41	1	2	yes	—
565	C₂²	C₂²×C₁₁×#41	1	8	yes	complemented
566	C₂²	C₁₁×#585	1	2	yes	—
567	C₂²	C₂⁶×C₁₁	1	1	yes	characteristic
568	C₄	—	2	4	no	—
569	C₄	—	2	12	no	—
570	C₄	—	2	6	no	—
571	C₄	—	2	2	no	—
572	C₄	—	2	6	no	—
573	C₄	C₂³×D₄×C₁₁	1	4	yes	—
574	C₄	C₂³×D₄×C₁₁	1	12	yes	—
575	C₄	C₂²×C₁₁×#41	1	4	yes	complemented
576	C₂	—	2	8	no	—
577	C₂	—	2	12	no	—
578	C₂	—	4	12	no	—
579	C₂	D₄×C₁₁×#41	1	4	yes	direct product factor
580	C₂	C₂⁴×D₄×C₁₁	1	1	yes	characteristic
581	C₂	C₂³×C₁₁×#41	1	1	yes	characteristic
582	C₂	C₂×C₁₁×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₁₁	C₂⁴
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₁
socle	C₂³×C₁₁	C₂⁵
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂³×C₁₁×#41	C₂	semidirect
2. D₄×C₁₁×#41	C₂	direct (N × H)
3. C₂×C₁₁×#550	C₂	semidirect
4. C₂×D₄×Q₈×C₁₁	C₂	semidirect
5. C₂×C₁₁×#548	C₂	semidirect
6. C₂×C₁₁×#547	C₂	semidirect
7. C₂×C₁₁×#546	C₂	semidirect
8. C₂×D₄²×C₁₁	C₂	semidirect
9. C₂×C₁₁×#532	C₂	semidirect
10. C₂×C₁₁×#525	C₂	semidirect
11. C₂×C₄×C₁₁×#41	C₂	semidirect
12. C₂²×C₄×D₄×C₁₁	C₂	semidirect
15. C₂²×C₁₁×#41	C₂²	semidirect
16. C₂²×C₁₁×#41	C₂²	semidirect
17. C₂²×C₁₁×#41	C₂²	semidirect
18. C₂²×C₁₁×#41	C₂²	semidirect
19. C₂³×Q₈×C₁₁	C₂²	semidirect
21. C₂³×D₄×C₁₁	C₂²	semidirect
22. C₂⁴×C₄×C₁₁	C₂²	semidirect
23. C₁₁×#550	C₂²	semidirect
24. D₄×Q₈×C₁₁	C₂²	semidirect
25. C₁₁×#548	C₂²	semidirect
26. C₁₁×#547	C₂²	semidirect
27. C₁₁×#546	C₂²	semidirect
28. D₄²×C₁₁	C₂²	semidirect
29. C₁₁×#532	C₂²	semidirect
30. C₂×C₁₁×C₄⋊Q₈	C₂²	semidirect
31. C₂×C₁₁×#127	C₂²	semidirect
32. C₂×C₁₁×#124	C₂²	semidirect
33. C₁₁×#525	C₂²	semidirect
34. C₂×C₁₁×#123	C₂²	semidirect
35. C₂×C₁₁×C₂²⋊Q₈	C₂²	semidirect
36. C₂×C₁₁×C₂²⋊Q₈	C₂²	semidirect
37. C₂×C₁₁×#121	C₂²	semidirect
38. C₂×C₁₁×#121	C₂²	semidirect
39. C₂×C₁₁×#121	C₂²	semidirect
40. C₂×C₁₁×#121	C₂²	semidirect
41. C₂×C₁₁×#120	C₂²	semidirect
42. C₄×C₁₁×#41	C₂²	semidirect
43. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
44. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
47. C₂×C₄×D₄×C₁₁	C₂²	semidirect
48. C₂×C₄×D₄×C₁₁	C₂²	semidirect
49. C₂×C₄×D₄×C₁₁	C₂²	semidirect
50. C₂×C₄×D₄×C₁₁	C₂²	semidirect
51. C₂×C₄×D₄×C₁₁	C₂²	semidirect
52. C₂×C₄×D₄×C₁₁	C₂²	semidirect
53. C₂×C₄×D₄×C₁₁	C₂²	semidirect
54. C₂×C₄×D₄×C₁₁	C₂²	semidirect
55. C₂×C₁₁×#117	C₂²	semidirect
56. C₂²×C₁₁×C₄⋊C₄	C₂²	semidirect
57. C₂²×C₁₁×C₂²⋊C₄	C₂²	semidirect
58. C₂²×C₄²×C₁₁	C₂²	semidirect
64. C₂×C₁₁×#41	D₄	direct (N × H)
66. C₂×C₁₁×#41	C₂³	semidirect
67. C₂×C₁₁×#41	C₂³	semidirect
68. C₂×C₁₁×#41	C₂³	semidirect
72. C₂²×Q₈×C₁₁	C₂³	semidirect
83. C₂²×D₄×C₁₁	C₂³	semidirect
93. C₂³×C₄×C₁₁	C₂³	semidirect
94. C₁₁×C₄⋊Q₈	C₂³	semidirect
95. C₁₁×#127	C₂³	semidirect
96. C₁₁×#124	C₂³	semidirect
97. C₁₁×#123	C₂³	semidirect
98. C₁₁×C₂²⋊Q₈	C₂³	semidirect
99. C₁₁×C₂²⋊Q₈	C₂³	semidirect
100. C₁₁×#121	C₂³	semidirect
101. C₁₁×#121	C₂³	semidirect
102. C₁₁×#121	C₂³	semidirect
103. C₁₁×#121	C₂³	semidirect
104. C₁₁×#120	C₂³	semidirect
105. C₄×Q₈×C₁₁	C₂³	semidirect
106. C₄×Q₈×C₁₁	C₂³	semidirect
109. C₄×D₄×C₁₁	C₂³	semidirect
110. C₄×D₄×C₁₁	C₂³	semidirect
111. C₄×D₄×C₁₁	C₂³	semidirect
112. C₄×D₄×C₁₁	C₂³	semidirect
113. C₄×D₄×C₁₁	C₂³	semidirect
114. C₄×D₄×C₁₁	C₂³	semidirect
115. C₄×D₄×C₁₁	C₂³	semidirect
116. C₁₁×#117	C₂³	semidirect
123. C₂×C₁₁×C₄⋊C₄	C₂³	semidirect
130. C₂×C₁₁×C₂²⋊C₄	C₂³	semidirect
135. C₂×C₄²×C₁₁	C₂³	semidirect
136. C₂×D₄×#41	C₁₁	direct (N × H)
147. C₁₁×#41	C₂×D₄	direct (N × H)
150. C₂×Q₈×C₁₁	C₂×D₄	semidirect
160. C₂×D₄×C₁₁	C₂×D₄	semidirect
161. C₂×D₄×C₁₁	#41	direct (N × H)
177. C₂²×C₄×C₁₁	C₂×D₄	semidirect
210. C₂³×#41	C₂×C₁₁	semidirect
211. D₄×#41	C₂×C₁₁	direct (N × H)
212. C₂×#550	C₂×C₁₁	semidirect
213. C₂×D₄×Q₈	C₂×C₁₁	semidirect
214. C₂×#548	C₂×C₁₁	semidirect
215. C₂×#547	C₂×C₁₁	semidirect
216. C₂×#546	C₂×C₁₁	semidirect
217. C₂×D₄²	C₂×C₁₁	semidirect
218. C₂×#532	C₂×C₁₁	semidirect
219. C₂×#525	C₂×C₁₁	semidirect
220. C₂×C₄×#41	C₂×C₁₁	semidirect
221. C₂²×C₄×D₄	C₂×C₁₁	semidirect
234. C₂³×C₁₁	C₂×#41	semidirect
240. Q₈×C₁₁	C₂²×D₄	semidirect
246. D₄×C₁₁	C₂²×D₄	semidirect
247. D₄×C₁₁	C₂×#41	direct (N × H)
262. C₂×C₄×C₁₁	C₂²×D₄	semidirect
263. C₂×C₄×C₁₁	C₂×#41	semidirect
274. C₂²×#41	C₂²×C₁₁	semidirect
275. C₂²×#41	C₂²×C₁₁	semidirect
276. C₂²×#41	C₂²×C₁₁	semidirect
277. C₂²×#41	C₂²×C₁₁	semidirect
278. C₂³×Q₈	C₂²×C₁₁	semidirect
280. C₂³×D₄	C₂²×C₁₁	semidirect
281. C₂⁴×C₄	C₂²×C₁₁	semidirect
282. #550	C₂²×C₁₁	semidirect
283. D₄×Q₈	C₂²×C₁₁	semidirect
284. #548	C₂²×C₁₁	semidirect
285. #547	C₂²×C₁₁	semidirect
286. #546	C₂²×C₁₁	semidirect
287. D₄²	C₂²×C₁₁	semidirect
288. #532	C₂²×C₁₁	semidirect
289. C₂×C₄⋊Q₈	C₂²×C₁₁	semidirect
290. C₂×#127	C₂²×C₁₁	semidirect
291. C₂×#124	C₂²×C₁₁	semidirect
292. #525	C₂²×C₁₁	semidirect
293. C₂×#123	C₂²×C₁₁	semidirect
294. C₂×C₂²⋊Q₈	C₂²×C₁₁	semidirect
295. C₂×C₂²⋊Q₈	C₂²×C₁₁	semidirect
296. C₂×#121	C₂²×C₁₁	semidirect
297. C₂×#121	C₂²×C₁₁	semidirect
298. C₂×#121	C₂²×C₁₁	semidirect
299. C₂×#121	C₂²×C₁₁	semidirect
300. C₂×#120	C₂²×C₁₁	semidirect
301. C₄×#41	C₂²×C₁₁	semidirect
302. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
303. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
306. C₂×C₄×D₄	C₂²×C₁₁	semidirect
307. C₂×C₄×D₄	C₂²×C₁₁	semidirect
308. C₂×C₄×D₄	C₂²×C₁₁	semidirect
309. C₂×C₄×D₄	C₂²×C₁₁	semidirect
310. C₂×C₄×D₄	C₂²×C₁₁	semidirect
311. C₂×C₄×D₄	C₂²×C₁₁	semidirect
312. C₂×C₄×D₄	C₂²×C₁₁	semidirect
313. C₂×C₄×D₄	C₂²×C₁₁	semidirect
314. C₂×#117	C₂²×C₁₁	semidirect
315. C₂²×C₄⋊C₄	C₂²×C₁₁	semidirect
316. C₂²×C₂²⋊C₄	C₂²×C₁₁	semidirect
317. C₂²×C₄²	C₂²×C₁₁	semidirect
332. C₂²×C₁₁	C₂²×#41	semidirect
342. C₄×C₁₁	C₂²×#41	semidirect
348. C₂×#41	D₄×C₁₁	direct (N × H)
350. C₂×#41	C₂³×C₁₁	semidirect
351. C₂×#41	C₂³×C₁₁	semidirect
352. C₂×#41	C₂³×C₁₁	semidirect
356. C₂²×Q₈	C₂³×C₁₁	semidirect
367. C₂²×D₄	C₂³×C₁₁	semidirect
377. C₂³×C₄	C₂³×C₁₁	semidirect
378. C₄⋊Q₈	C₂³×C₁₁	semidirect
379. #127	C₂³×C₁₁	semidirect
380. #124	C₂³×C₁₁	semidirect
381. #123	C₂³×C₁₁	semidirect
382. C₂²⋊Q₈	C₂³×C₁₁	semidirect
383. C₂²⋊Q₈	C₂³×C₁₁	semidirect
384. #121	C₂³×C₁₁	semidirect
385. #121	C₂³×C₁₁	semidirect
386. #121	C₂³×C₁₁	semidirect
387. #121	C₂³×C₁₁	semidirect
388. #120	C₂³×C₁₁	semidirect
389. C₄×Q₈	C₂³×C₁₁	semidirect
390. C₄×Q₈	C₂³×C₁₁	semidirect
393. C₄×D₄	C₂³×C₁₁	semidirect
394. C₄×D₄	C₂³×C₁₁	semidirect
395. C₄×D₄	C₂³×C₁₁	semidirect
396. C₄×D₄	C₂³×C₁₁	semidirect
397. C₄×D₄	C₂³×C₁₁	semidirect
398. C₄×D₄	C₂³×C₁₁	semidirect
399. C₄×D₄	C₂³×C₁₁	semidirect
400. #117	C₂³×C₁₁	semidirect
407. C₂×C₄⋊C₄	C₂³×C₁₁	semidirect
414. C₂×C₂²⋊C₄	C₂³×C₁₁	semidirect
419. C₂×C₄²	C₂³×C₁₁	semidirect
423. C₂×C₁₁	D₄×#41	direct (N × H)
437. #41	C₂×D₄×C₁₁	direct (N × H)
440. C₂×Q₈	C₂×D₄×C₁₁	semidirect
450. C₂×D₄	C₂×D₄×C₁₁	semidirect
451. C₂×D₄	C₁₁×#41	direct (N × H)
467. C₂²×C₄	C₂×D₄×C₁₁	semidirect
500. C₁₁	C₂×D₄×#41	direct (N × H)
513. C₂³	C₂×C₁₁×#41	semidirect
519. Q₈	C₂²×D₄×C₁₁	semidirect
525. D₄	C₂²×D₄×C₁₁	semidirect
526. D₄	C₂×C₁₁×#41	direct (N × H)
541. C₂×C₄	C₂²×D₄×C₁₁	semidirect
542. C₂×C₄	C₂×C₁₁×#41	semidirect
565. C₂²	C₂²×C₁₁×#41	semidirect
575. C₄	C₂²×C₁₁×#41	semidirect
579. C₂	D₄×C₁₁×#41	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂³×C₁₁×#41	2
D₄×C₁₁×#41	2
C₂×C₁₁×#550	2
C₂×D₄×Q₈×C₁₁	2
C₂×C₁₁×#548	2
C₂×C₁₁×#547	2
C₂×C₁₁×#546	2
C₂×D₄²×C₁₁	2
C₂×C₁₁×#532	2
C₂×C₁₁×#525	2
C₂×C₄×C₁₁×#41	2
C₂²×C₄×D₄×C₁₁	2
C₂×D₄×#41	11

Subgroups — C2×D4×C11×#41 #14639894

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×D₄×C₁₁×#41 #14639894