Subgroups — #14725288

Order 2816.

786 conjugacy classes of subgroups.

The subgroup lattice has 366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄×#4318	C₂	1	2	yes	maximal, complemented
2	#13067530	C₂	1	2	yes	maximal, complemented
3	#13067481	C₂	1	4	yes	maximal, complemented
4	#13067440	C₂	1	2	yes	maximal, complemented
5	#13067372	C₂	1	1	yes	maximal, characteristic, complemented
6	#13067041	C₂	1	2	yes	maximal, complemented
7	#13066905	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄×C₁₁×D₈	C₂	1	1	yes	maximal, characteristic
9	C₂²×C₁₁×D₈	C₄	1	1	yes	characteristic
10	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
11	C₂²×#4318	—	2	2	no	—
12	C₄×C₁₁×D₈	C₄	1	2	yes	—
13	C₄×C₁₁×D₈	C₄	1	1	yes	characteristic
14	C₄×C₁₁×D₈	C₄	1	1	yes	characteristic
15	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
16	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
17	C₄×C₁₁×D₈	C₂²	1	2	yes	—
18	C₂×C₁₁×#107	C₄	1	1	yes	characteristic
19	C₂×C₁₁×#102	C₄	1	2	yes	—
20	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
21	#10622820	—	2	2	no	—
22	#10622625	C₂²	1	4	yes	complemented
23	#10622624	—	2	4	no	—
24	D₄×C₁₁⋊C₈	C₂²	1	4	yes	complemented
25	#10622538	C₂²	1	1	yes	characteristic
26	#10622537	C₂²	1	2	yes	—
27	C₄×#4318	C₂²	1	1	yes	characteristic
28	D₄⋊(C₁₁⋊C₈)	C₂²	1	4	yes	complemented
29	D₄⋊(C₁₁⋊C₈)	C₂²	1	4	yes	complemented
30	#10622095	C₂²	1	2	yes	complemented
31	#10622095	C₂²	1	2	yes	complemented
32	#10622093	C₂²	1	2	yes	complemented
33	#10622092	C₂²	1	2	yes	complemented
34	C₂²×D₄×C₁₁	C₂×C₄	1	2	yes	—
35	C₂³×C₄×C₁₁	—	2	2	no	—
36	C₂×C₁₁×D₈	—	2	4	no	—
37	C₂×C₁₁×D₈	C₂×C₄	1	2	yes	—
38	C₂×C₁₁×D₈	C₂×C₄	1	1	yes	characteristic
39	C₂×C₁₁×D₈	C₂×C₄	1	1	yes	characteristic
40	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
41	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
42	C₄×D₄×C₁₁	—	2	2	no	—
43	C₄×D₄×C₁₁	—	2	2	no	—
44	C₄×D₄×C₁₁	C₂×C₄	1	2	yes	—
45	C₄×D₄×C₁₁	C₂×C₄	1	2	yes	—
46	C₄×D₄×C₁₁	C₂³	1	2	yes	—
47	C₄×D₄×C₁₁	C₂³	1	2	yes	—
48	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
49	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
50	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
51	C₂×#4318	—	2	2	no	—
52	C₂×#4318	—	2	4	no	—
53	C₂×#4318	—	4	8	no	—
54	C₂×#4318	D₄	1	2	yes	—
55	C₂²×C₁₁⋊C₈	—	2	4	no	—
56	C₁₁×#107	C₂×C₄	1	2	yes	—
57	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
58	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
59	C₁₁×#102	C₂×C₄	1	2	yes	—
60	C₁₁×#102	C₂×C₄	1	2	yes	—
61	C₁₁×#102	C₂×C₄	1	2	yes	—
62	C₁₁×#102	C₂×C₄	1	2	yes	—
63	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
64	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
65	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
66	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
67	C₂²⋊(C₁₁⋊C₈)	—	2	1	no	—
68	C₂²⋊(C₁₁⋊C₈)	—	2	4	no	—
69	C₂²⋊(C₁₁⋊C₈)	—	2	4	no	—
70	C₄⋊(C₁₁⋊C₈)	—	2	2	no	—
71	C₄⋊(C₁₁⋊C₈)	—	2	1	no	—
72	C₄⋊(C₁₁⋊C₈)	C₂³	1	4	yes	—
73	#66867	D₄	1	2	yes	—
74	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
75	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
76	#18044	—	11	1	no	maximal, Sylow
77	C₂⁴×C₁₁	—	2	2	no	—
78	C₂×D₄×C₁₁	—	2	4	no	—
79	C₂×D₄×C₁₁	—	2	2	no	—
80	C₂×D₄×C₁₁	—	4	2	no	—
81	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
82	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
83	C₂²×C₄×C₁₁	—	2	2	no	—
84	C₂²×C₄×C₁₁	—	2	2	no	—
85	C₂²×C₄×C₁₁	—	2	2	no	—
86	C₂²×C₄×C₁₁	—	2	2	no	—
87	C₂²×C₄×C₁₁	—	2	2	no	—
88	C₂²×C₄×C₁₁	—	4	4	no	—
89	C₂²×C₄×C₁₁	—	4	4	no	—
90	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
91	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
93	C₁₁×D₈	—	2	2	no	—
94	C₁₁×D₈	—	2	4	no	—
95	C₁₁×D₈	M₁₆	1	4	yes	complemented
96	C₂×C₈×C₁₁	—	2	2	no	—
97	C₂×C₈×C₁₁	—	4	1	no	—
98	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
99	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
100	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
101	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
102	C₁₁×C₄⋊C₄	—	2	2	no	—
103	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
104	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
105	C₁₁×C₂²⋊C₄	—	2	2	no	—
106	C₁₁×C₂²⋊C₄	—	2	2	no	—
107	C₁₁×C₂²⋊C₄	—	2	2	no	—
108	C₁₁×C₂²⋊C₄	—	2	2	no	—
109	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
110	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
111	C₄²×C₁₁	#41	1	1	yes	characteristic
112	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
113	#4318	—	2	4	no	—
114	#4318	—	4	8	no	—
115	#4318	—	4	4	no	—
116	C₂×C₁₁⋊C₈	—	2	4	no	—
117	C₂×C₁₁⋊C₈	—	2	2	no	—
118	C₂×C₁₁⋊C₈	—	4	8	no	—
119	C₂×C₁₁⋊C₈	C₂×D₄	1	4	yes	—
120	C₂×C₄×D₈	D₁₁	1	1	yes	characteristic
121	D₄×M₁₆	—	11	2	no	—
122	#1594	—	11	2	no	—
123	#1586	—	11	4	no	—
124	#1580	—	11	2	no	—
125	#1566	—	11	1	no	—
126	#1486	—	11	2	no	—
127	#1451	—	11	1	no	—
128	C₂³×C₁₁	—	2	2	no	—
129	C₂³×C₁₁	—	2	2	no	—
130	C₂³×C₁₁	—	4	4	no	—
131	C₂³×C₁₁	—	4	4	no	—
132	C₂³×C₁₁	—	8	2	no	—
133	C₂³×C₁₁	C₄×D₄	1	1	yes	characteristic
134	D₄×C₁₁	—	2	2	no	—
135	D₄×C₁₁	—	2	2	no	—
136	D₄×C₁₁	—	2	2	no	—
137	D₄×C₁₁	—	4	4	no	—
138	D₄×C₁₁	C₂×M₁₆	1	4	yes	complemented
139	C₂×C₄×C₁₁	—	2	1	no	—
140	C₂×C₄×C₁₁	—	2	1	no	—
141	C₂×C₄×C₁₁	—	2	2	no	—
142	C₂×C₄×C₁₁	—	2	2	no	—
143	C₂×C₄×C₁₁	—	4	1	no	—
144	C₂×C₄×C₁₁	—	4	4	no	—
145	C₂×C₄×C₁₁	—	4	2	no	—
146	C₂×C₄×C₁₁	—	4	2	no	—
147	C₂×C₄×C₁₁	—	4	2	no	—
148	C₂×C₄×C₁₁	—	4	2	no	—
149	C₂×C₄×C₁₁	—	4	4	no	—
150	C₂×C₄×C₁₁	—	4	4	no	—
151	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
152	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
153	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
154	C₂×C₄×C₁₁	AGL(1,ℤ/8)	1	4	yes	—
155	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
156	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
157	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
158	C₈×C₁₁	—	2	1	no	—
159	C₈×C₁₁	—	2	1	no	—
160	C₈×C₁₁	—	2	1	no	—
161	C₈×C₁₁	C₂×M₁₆	1	2	yes	complemented
162	C₁₁⋊C₈	—	2	4	no	—
163	C₁₁⋊C₈	—	4	2	no	—
164	C₁₁⋊C₈	—	4	4	no	—
165	C₂²×D₈	Dic₁₁	1	1	yes	characteristic
166	C₂²×M₁₆	—	22	2	no	—
167	C₂×C₄×D₄	C₂×D₁₁	1	2	yes	—
168	C₄×D₈	Dic₁₁	1	2	yes	—
169	C₄×D₈	Dic₁₁	1	1	yes	characteristic
170	C₄×D₈	Dic₁₁	1	1	yes	characteristic
171	C₄×D₈	C₂×D₁₁	1	1	yes	characteristic
172	C₄×D₈	C₂×D₁₁	1	2	yes	—
173	C₄×D₈	C₂×D₁₁	1	1	yes	characteristic
174	#436	—	11	4	no	—
175	#435	—	22	4	no	—
176	C₈×D₄	—	11	4	no	—
177	#431	—	11	1	no	—
178	C₂×#107	Dic₁₁	1	1	yes	characteristic
179	#423	—	11	2	no	—
180	C₂×#102	Dic₁₁	1	2	yes	—
181	#407	—	22	2	no	—
182	C₄×M₁₆	—	11	1	no	—
183	C₂×C₄×C₈	C₂×D₁₁	1	1	yes	characteristic
184	#334	—	11	2	no	—
185	#334	—	11	2	no	—
186	D₄⋊C₈	—	11	4	no	—
187	D₄⋊C₈	—	11	4	no	—
188	#322	—	11	2	no	—
189	#322	—	11	2	no	—
190	C₂²×C₁₁	—	2	1	no	—
191	C₂²×C₁₁	—	2	1	no	—
192	C₂²×C₁₁	—	2	4	no	—
193	C₂²×C₁₁	—	4	2	no	—
194	C₂²×C₁₁	—	4	2	no	—
195	C₂²×C₁₁	—	4	2	no	—
196	C₂²×C₁₁	—	4	2	no	—
197	C₂²×C₁₁	—	4	2	no	—
198	C₂²×C₁₁	—	8	8	no	—
199	C₂²×C₁₁	#442	1	2	yes	—
200	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
201	C₄×C₁₁	—	2	1	no	—
202	C₄×C₁₁	—	2	1	no	—
203	C₄×C₁₁	—	2	1	no	—
204	C₄×C₁₁	—	4	2	no	—
205	C₄×C₁₁	—	4	2	no	—
206	C₄×C₁₁	#442	1	2	yes	—
207	C₄×C₁₁	C₂²×M₁₆	1	1	yes	characteristic
208	C₄×C₁₁	#568	1	1	yes	characteristic
209	C₄×C₁₁	C₂×AGL(1,ℤ/8)	1	2	yes	—
210	C₂²×D₄	C₂×Dic₁₁	1	2	yes	—
211	C₂³×C₄	—	2	2	no	—
212	C₂×D₈	—	2	4	no	—
213	C₂×D₈	C₂×Dic₁₁	1	2	yes	—
214	C₂×D₈	C₂×Dic₁₁	1	1	yes	characteristic
215	C₂×D₈	C₂×Dic₁₁	1	1	yes	characteristic
216	C₂×M₁₆	—	11	2	no	—
217	C₂×M₁₆	—	22	4	no	—
218	C₂×M₁₆	—	22	2	no	—
219	C₂×M₁₆	—	44	8	no	—
220	C₂²×C₈	—	22	4	no	—
221	C₂²×C₈	C₂×Dic₁₁	1	1	yes	characteristic
222	C₂²×C₈	C₂×Dic₁₁	1	1	yes	characteristic
223	C₄×D₄	—	2	2	no	—
224	C₄×D₄	—	2	2	no	—
225	C₄×D₄	C₂×Dic₁₁	1	2	yes	—
226	C₄×D₄	C₂×Dic₁₁	1	2	yes	—
227	C₄×D₄	C₂²×D₁₁	1	2	yes	—
228	C₄×D₄	C₂²×D₁₁	1	2	yes	—
229	C₂×C₄⋊C₄	C₂×Dic₁₁	1	2	yes	—
230	C₂×C₂²⋊C₄	—	2	2	no	—
231	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
232	#107	C₂×Dic₁₁	1	2	yes	—
233	#107	C₂×Dic₁₁	1	1	yes	characteristic
234	#107	C₂×Dic₁₁	1	1	yes	characteristic
235	C₄⋊C₈	—	11	4	no	—
236	C₄⋊C₈	—	22	2	no	—
237	C₄⋊C₈	—	22	1	no	—
238	#102	C₂×Dic₁₁	1	2	yes	—
239	#102	C₂×Dic₁₁	1	2	yes	—
240	#102	C₂×Dic₁₁	1	2	yes	—
241	#102	C₂×Dic₁₁	1	2	yes	—
242	C₂²⋊C₈	—	22	4	no	—
243	C₂²⋊C₈	—	22	4	no	—
244	C₂²⋊C₈	—	22	1	no	—
245	#97	—	11	2	no	—
246	C₄×C₈	—	11	2	no	—
247	C₄×C₈	—	11	2	no	—
248	C₄×C₈	C₂×Dic₁₁	1	1	yes	characteristic
249	C₄×C₈	C₂×Dic₁₁	1	1	yes	characteristic
250	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
251	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
252	C₂×C₁₁	—	2	2	no	—
253	C₂×C₁₁	—	4	4	no	—
254	C₂×C₁₁	—	8	2	no	—
255	C₂×C₁₁	D₄×M₁₆	1	1	yes	characteristic
256	C₂×C₁₁	C₂×#442	1	1	yes	characteristic
257	C₂×C₁₁	#2957	1	1	yes	characteristic
258	C₂⁴	—	2	2	no	—
259	C₂×D₄	—	2	4	no	—
260	C₂×D₄	—	2	2	no	—
261	C₂×D₄	—	4	2	no	—
262	C₂×D₄	C₂²×Dic₁₁	1	2	yes	—
263	C₂×D₄	C₂²×Dic₁₁	1	2	yes	—
264	C₂²×C₄	—	2	2	no	—
265	C₂²×C₄	—	2	2	no	—
266	C₂²×C₄	—	2	2	no	—
267	C₂²×C₄	—	2	2	no	—
268	C₂²×C₄	—	2	2	no	—
269	C₂²×C₄	—	4	4	no	—
270	C₂²×C₄	—	4	4	no	—
271	C₂²×C₄	D₄×D₁₁	1	1	yes	characteristic
272	C₂²×C₄	#4341	1	1	yes	characteristic
273	C₂²×C₄	C₂²×Dic₁₁	1	1	yes	characteristic
274	D₈	—	2	4	no	—
275	D₈	—	2	2	no	—
276	D₈	#4318	1	4	yes	complemented
277	M₁₆	—	22	4	no	—
278	M₁₆	—	44	8	no	—
279	M₁₆	—	44	4	no	—
280	C₂×C₈	—	2	2	no	—
281	C₂×C₈	—	4	1	no	—
282	C₂×C₈	—	11	4	no	—
283	C₂×C₈	—	22	4	no	—
284	C₂×C₈	—	22	2	no	—
285	C₂×C₈	—	44	8	no	—
286	C₂×C₈	C₂²×Dic₁₁	1	1	yes	characteristic
287	C₂×C₈	C₂²×Dic₁₁	1	1	yes	characteristic
288	C₂×C₈	C₂²×Dic₁₁	1	1	yes	characteristic
289	C₂×C₈	C₂²×Dic₁₁	1	1	yes	characteristic
290	C₄⋊C₄	—	2	2	no	—
291	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
292	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
293	C₂²⋊C₄	—	2	2	no	—
294	C₂²⋊C₄	—	2	2	no	—
295	C₂²⋊C₄	—	2	2	no	—
296	C₂²⋊C₄	—	2	2	no	—
297	C₄²	D₄×D₁₁	1	1	yes	characteristic
298	C₄²	#4341	1	1	yes	characteristic
299	C₄²	C₂²×Dic₁₁	1	1	yes	characteristic
300	C₄²	C₂³×D₁₁	1	1	yes	characteristic
301	C₁₁	#18044	1	1	yes	characteristic, complemented, Sylow
302	C₂³	—	2	2	no	—
303	C₂³	—	2	2	no	—
304	C₂³	—	4	4	no	—
305	C₂³	—	4	4	no	—
306	C₂³	—	8	2	no	—
307	C₂³	D₄×Dic₁₁	1	1	yes	characteristic
308	D₄	—	2	2	no	—
309	D₄	—	2	2	no	—
310	D₄	—	2	2	no	—
311	D₄	—	4	4	no	—
312	D₄	C₂×#4318	1	4	yes	complemented
313	C₂×C₄	—	2	1	no	—
314	C₂×C₄	—	2	1	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	4	1	no	—
318	C₂×C₄	—	4	4	no	—
319	C₂×C₄	—	4	4	no	—
320	C₂×C₄	—	4	4	no	—
321	C₂×C₄	—	4	2	no	—
322	C₂×C₄	—	4	2	no	—
323	C₂×C₄	—	4	2	no	—
324	C₂×C₄	—	4	2	no	—
325	C₂×C₄	#66964	1	4	yes	—
326	C₂×C₄	D₄×Dic₁₁	1	1	yes	characteristic
327	C₂×C₄	D₄×Dic₁₁	1	1	yes	characteristic
328	C₂×C₄	D₄×Dic₁₁	1	1	yes	characteristic
329	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
330	C₂×C₄	C₂×#4341	1	1	yes	characteristic
331	C₂×C₄	C₂³×Dic₁₁	1	1	yes	characteristic
332	C₈	—	2	1	no	—
333	C₈	—	2	1	no	—
334	C₈	—	2	1	no	—
335	C₈	—	22	4	no	—
336	C₈	—	44	2	no	—
337	C₈	—	44	4	no	—
338	C₈	C₂×#4318	1	2	yes	complemented
339	C₂²	—	2	1	no	—
340	C₂²	—	2	1	no	—
341	C₂²	—	2	4	no	—
342	C₂²	—	4	2	no	—
343	C₂²	—	4	2	no	—
344	C₂²	—	4	2	no	—
345	C₂²	—	4	2	no	—
346	C₂²	—	4	2	no	—
347	C₂²	—	8	8	no	—
348	C₂²	#10622765	1	2	yes	—
349	C₂²	C₂×D₄×Dic₁₁	1	1	yes	characteristic
350	C₄	—	2	1	no	—
351	C₄	—	2	1	no	—
352	C₄	—	2	1	no	—
353	C₄	—	4	2	no	—
354	C₄	—	4	2	no	—
355	C₄	#10622765	1	2	yes	—
356	C₄	C₂×#66964	1	2	yes	—
357	C₄	C₂²×#4318	1	1	yes	characteristic
358	C₄	#10623350	1	1	yes	characteristic
359	C₂	—	2	2	no	—
360	C₂	—	4	4	no	—
361	C₂	—	8	2	no	—
362	C₂	D₄×#4318	1	1	yes	characteristic
363	C₂	C₂×#10622765	1	1	yes	characteristic
364	C₂	#13077533	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₁
commutator	C₂×C₄×C₁₁	C₂³×C₄
Frattini	C₄²	C₂³×D₁₁
Fitting	C₂×C₄×C₁₁×D₈	C₂
socle	C₂²×C₁₁	C₂×C₄×D₄
prime radical	C₂²×C₁₁×D₈	C₄
cosocle	C₄²×C₁₁	C₂⁴
hypercenter	C₂×C₄×D₈	D₁₁
hypocenter	C₁₁	#18044
LCS	G ▷ C₂×C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ C₂×C₄×D₈

Complements

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

N	H ≅ G/N	type
1. D₄×#4318	C₂	semidirect
2. #13067530	C₂	semidirect
3. #13067481	C₂	semidirect
4. #13067440	C₂	semidirect
5. #13067372	C₂	semidirect
6. #13067041	C₂	semidirect
7. #13066905	C₂	semidirect
22. #10622625	C₂²	semidirect
24. D₄×C₁₁⋊C₈	C₂²	semidirect
28. D₄⋊(C₁₁⋊C₈)	C₂²	semidirect
29. D₄⋊(C₁₁⋊C₈)	C₂²	semidirect
30. #10622095	C₂²	semidirect
31. #10622095	C₂²	semidirect
32. #10622093	C₂²	semidirect
33. #10622092	C₂²	semidirect
95. C₁₁×D₈	M₁₆	semidirect
138. D₄×C₁₁	C₂×M₁₆	semidirect
161. C₈×C₁₁	C₂×M₁₆	semidirect
276. D₈	#4318	semidirect
301. C₁₁	#18044	semidirect
312. D₄	C₂×#4318	semidirect
338. C₈	C₂×#4318	semidirect

Maximal subgroups

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

subgroup	index
D₄×#4318	2
#13067530	2
#13067481	2
#13067440	2
#13067372	2
#13067041	2
#13066905	2
C₂×C₄×C₁₁×D₈	2
#18044	11