Subgroups — #14725424

Order 2816.

726 conjugacy classes of subgroups.

The subgroup lattice has 362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13077651	C₂	1	2	yes	maximal, complemented
2	#13067501	C₂	1	2	yes	maximal, complemented
3	#13067481	C₂	1	4	yes	maximal, complemented
4	D₈×C₁₁⋊C₈	C₂	1	2	yes	maximal, complemented
5	#13067379	C₂	1	1	yes	maximal, characteristic, complemented
6	#13067059	C₂	1	2	yes	maximal, complemented
7	C₈×#4318	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	C₄×C₁₁×D₈	C₄	1	2	yes	—
12	C₄×C₁₁×D₈	C₄	1	1	yes	characteristic
13	C₄×C₁₁×D₈	C₄	1	1	yes	characteristic
14	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
15	C₄×C₁₁×D₈	C₂²	1	2	yes	—
16	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
17	C₂×C₁₁×#107	C₄	1	1	yes	characteristic
18	C₂×C₁₁×#102	C₄	1	2	yes	—
19	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
20	#10622820	—	2	2	no	—
21	C₂×C₂²⋊(C₁₁⋊C₈)	—	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	#10622539	C₂²	1	2	yes	—
26	#10622538	C₂²	1	1	yes	characteristic
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	#10622096	C₂²	1	2	yes	complemented
31	#10622095	C₂²	1	2	yes	complemented
32	#10622092	C₂²	1	2	yes	complemented
33	C₈×C₁₁⋊C₈	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	1	no	—
52	C₂×#4318	—	2	4	no	—
53	C₂²×C₁₁⋊C₈	—	2	4	no	—
54	C₁₁×#107	C₂×C₄	1	2	yes	—
55	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
56	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
57	C₁₁×#102	C₂×C₄	1	2	yes	—
58	C₁₁×#102	C₂×C₄	1	2	yes	—
59	C₁₁×#102	C₂×C₄	1	2	yes	—
60	C₁₁×#102	C₂×C₄	1	2	yes	—
61	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
62	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
63	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
64	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
65	C₂²⋊(C₁₁⋊C₈)	—	2	2	no	—
66	C₂²⋊(C₁₁⋊C₈)	—	2	4	no	—
67	C₂²⋊(C₁₁⋊C₈)	—	2	4	no	—
68	C₂²⋊(C₁₁⋊C₈)	D₄	1	1	yes	characteristic
69	C₂²⋊(C₁₁⋊C₈)	D₄	1	1	yes	characteristic
70	C₄⋊(C₁₁⋊C₈)	D₄	1	2	yes	—
71	C₄⋊(C₁₁⋊C₈)	C₂³	1	4	yes	—
72	#66867	—	2	2	no	—
73	#66867	—	2	1	no	—
74	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
75	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
76	#18054	—	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	—	8	4	no	—
89	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
90	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
91	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
92	C₁₁×D₈	—	2	2	no	—
93	C₁₁×D₈	—	2	4	no	—
94	C₁₁×D₈	M₁₆	1	4	yes	complemented
95	C₂×C₈×C₁₁	—	2	2	no	—
96	C₂×C₈×C₁₁	—	4	1	no	—
97	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
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	C₁₁×C₄⋊C₄	—	2	2	no	—
102	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
103	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
104	C₁₁×C₂²⋊C₄	—	2	2	no	—
105	C₁₁×C₂²⋊C₄	—	2	2	no	—
106	C₁₁×C₂²⋊C₄	—	2	2	no	—
107	C₁₁×C₂²⋊C₄	—	2	2	no	—
108	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
109	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
110	C₄²×C₁₁	#41	1	1	yes	characteristic
111	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
112	#4318	—	2	4	no	—
113	#4318	—	8	4	no	—
114	C₂×C₁₁⋊C₈	—	2	4	no	—
115	C₂×C₁₁⋊C₈	—	2	2	no	—
116	C₂×C₁₁⋊C₈	—	8	4	no	—
117	C₂×C₁₁⋊C₈	C₂×D₄	1	2	yes	—
118	C₂×C₁₁⋊C₈	C₂×D₄	1	2	yes	—
119	#2974	—	11	2	no	—
120	C₂×C₄×D₈	D₁₁	1	1	yes	characteristic
121	#1589	—	11	2	no	—
122	#1586	—	11	4	no	—
123	C₈×D₈	—	11	2	no	—
124	#1568	—	11	1	no	—
125	#1490	—	11	2	no	—
126	C₈×M₁₆	—	11	1	no	—
127	C₂³×C₁₁	—	2	2	no	—
128	C₂³×C₁₁	—	2	2	no	—
129	C₂³×C₁₁	—	4	4	no	—
130	C₂³×C₁₁	—	4	4	no	—
131	C₂³×C₁₁	—	8	2	no	—
132	C₂³×C₁₁	C₄×D₄	1	1	yes	characteristic
133	D₄×C₁₁	—	2	2	no	—
134	D₄×C₁₁	—	2	2	no	—
135	D₄×C₁₁	—	2	2	no	—
136	D₄×C₁₁	—	4	4	no	—
137	D₄×C₁₁	C₂×M₁₆	1	4	yes	—
138	C₂×C₄×C₁₁	—	2	2	no	—
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	—	2	2	no	—
144	C₂×C₄×C₁₁	—	4	4	no	—
145	C₂×C₄×C₁₁	—	4	4	no	—
146	C₂×C₄×C₁₁	—	8	2	no	—
147	C₂×C₄×C₁₁	—	8	2	no	—
148	C₂×C₄×C₁₁	—	8	2	no	—
149	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
150	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
151	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
152	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
153	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
154	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
155	C₈×C₁₁	—	2	1	no	—
156	C₈×C₁₁	—	2	1	no	—
157	C₈×C₁₁	—	2	1	no	—
158	C₈×C₁₁	C₂×M₁₆	1	2	yes	—
159	C₁₁⋊C₈	—	2	4	no	—
160	C₁₁⋊C₈	—	2	2	no	—
161	C₁₁⋊C₈	—	2	2	no	—
162	C₁₁⋊C₈	—	4	4	no	—
163	C₂²×D₈	Dic₁₁	1	1	yes	characteristic
164	C₂×C₄×D₄	C₂×D₁₁	1	2	yes	—
165	C₄×D₈	Dic₁₁	1	2	yes	—
166	C₄×D₈	Dic₁₁	1	1	yes	characteristic
167	C₄×D₈	Dic₁₁	1	1	yes	characteristic
168	C₄×D₈	C₂×D₁₁	1	1	yes	characteristic
169	C₄×D₈	C₂×D₁₁	1	2	yes	—
170	C₄×D₈	C₂×D₁₁	1	1	yes	characteristic
171	#436	—	11	4	no	—
172	#435	—	22	4	no	—
173	C₈×D₄	—	11	4	no	—
174	#432	—	11	2	no	—
175	#431	—	11	1	no	—
176	C₂×#107	Dic₁₁	1	1	yes	characteristic
177	C₂×#102	Dic₁₁	1	2	yes	—
178	#407	—	22	2	no	—
179	C₂×C₂²⋊C₈	—	22	2	no	—
180	C₄×M₁₆	—	11	1	no	—
181	C₂×C₄×C₈	C₂×D₁₁	1	1	yes	characteristic
182	#335	—	11	2	no	—
183	#334	—	11	2	no	—
184	D₄⋊C₈	—	11	4	no	—
185	D₄⋊C₈	—	11	4	no	—
186	#322	—	11	2	no	—
187	C₈²	—	11	2	no	—
188	C₂²×C₁₁	—	2	1	no	—
189	C₂²×C₁₁	—	2	1	no	—
190	C₂²×C₁₁	—	2	4	no	—
191	C₂²×C₁₁	—	4	2	no	—
192	C₂²×C₁₁	—	4	2	no	—
193	C₂²×C₁₁	—	4	2	no	—
194	C₂²×C₁₁	—	4	2	no	—
195	C₂²×C₁₁	—	4	2	no	—
196	C₂²×C₁₁	—	8	8	no	—
197	C₂²×C₁₁	#443	1	2	yes	—
198	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
199	C₄×C₁₁	—	2	1	no	—
200	C₄×C₁₁	—	2	1	no	—
201	C₄×C₁₁	—	2	1	no	—
202	C₄×C₁₁	—	2	1	no	—
203	C₄×C₁₁	—	4	2	no	—
204	C₄×C₁₁	—	4	2	no	—
205	C₄×C₁₁	C₂²×M₁₆	1	1	yes	characteristic
206	C₄×C₁₁	#568	1	1	yes	characteristic
207	C₄×C₁₁	#576	1	2	yes	—
208	C₂²×D₄	C₂×Dic₁₁	1	2	yes	—
209	C₂³×C₄	—	2	2	no	—
210	C₂×D₈	—	2	4	no	—
211	C₂×D₈	C₂×Dic₁₁	1	2	yes	—
212	C₂×D₈	C₂×Dic₁₁	1	1	yes	characteristic
213	C₂×D₈	C₂×Dic₁₁	1	1	yes	characteristic
214	C₂×M₁₆	—	22	4	no	—
215	C₂×M₁₆	—	22	1	no	—
216	C₂²×C₈	—	22	4	no	—
217	C₂²×C₈	C₂×Dic₁₁	1	1	yes	characteristic
218	C₂²×C₈	C₂×Dic₁₁	1	1	yes	characteristic
219	C₄×D₄	—	2	2	no	—
220	C₄×D₄	—	2	2	no	—
221	C₄×D₄	C₂×Dic₁₁	1	2	yes	—
222	C₄×D₄	C₂×Dic₁₁	1	2	yes	—
223	C₄×D₄	C₂²×D₁₁	1	2	yes	—
224	C₄×D₄	C₂²×D₁₁	1	2	yes	—
225	C₂×C₄⋊C₄	C₂×Dic₁₁	1	2	yes	—
226	C₂×C₂²⋊C₄	—	2	2	no	—
227	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
228	#107	C₂×Dic₁₁	1	2	yes	—
229	#107	C₂×Dic₁₁	1	1	yes	characteristic
230	#107	C₂×Dic₁₁	1	1	yes	characteristic
231	C₄⋊C₈	—	11	2	no	—
232	C₄⋊C₈	—	11	4	no	—
233	#102	C₂×Dic₁₁	1	2	yes	—
234	#102	C₂×Dic₁₁	1	2	yes	—
235	#102	C₂×Dic₁₁	1	2	yes	—
236	#102	C₂×Dic₁₁	1	2	yes	—
237	C₂²⋊C₈	—	11	1	no	—
238	C₂²⋊C₈	—	11	1	no	—
239	C₂²⋊C₈	—	22	4	no	—
240	C₂²⋊C₈	—	22	4	no	—
241	C₂²⋊C₈	—	22	2	no	—
242	#97	—	22	2	no	—
243	#97	—	22	1	no	—
244	C₄×C₈	—	11	2	no	—
245	C₄×C₈	—	11	2	no	—
246	C₄×C₈	C₂×Dic₁₁	1	1	yes	characteristic
247	C₄×C₈	C₂×Dic₁₁	1	1	yes	characteristic
248	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
249	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
250	C₂×C₁₁	—	2	2	no	—
251	C₂×C₁₁	—	4	4	no	—
252	C₂×C₁₁	—	8	2	no	—
253	C₂×C₁₁	D₄×M₁₆	1	1	yes	characteristic
254	C₂×C₁₁	#2948	1	1	yes	characteristic
255	C₂×C₁₁	C₂×#443	1	1	yes	characteristic
256	C₂⁴	—	2	2	no	—
257	C₂×D₄	—	2	4	no	—
258	C₂×D₄	—	2	2	no	—
259	C₂×D₄	—	4	2	no	—
260	C₂×D₄	C₂²×Dic₁₁	1	2	yes	—
261	C₂×D₄	C₂²×Dic₁₁	1	2	yes	—
262	C₂²×C₄	—	2	2	no	—
263	C₂²×C₄	—	2	2	no	—
264	C₂²×C₄	—	2	2	no	—
265	C₂²×C₄	—	2	2	no	—
266	C₂²×C₄	—	2	2	no	—
267	C₂²×C₄	—	8	4	no	—
268	C₂²×C₄	D₄×D₁₁	1	1	yes	characteristic
269	C₂²×C₄	#4341	1	1	yes	characteristic
270	C₂²×C₄	C₂²×Dic₁₁	1	1	yes	characteristic
271	D₈	—	2	4	no	—
272	D₈	—	2	2	no	—
273	D₈	#4318	1	4	yes	complemented
274	M₁₆	—	22	4	no	—
275	M₁₆	—	88	4	no	—
276	C₂×C₈	—	2	2	no	—
277	C₂×C₈	—	4	1	no	—
278	C₂×C₈	—	11	2	no	—
279	C₂×C₈	—	11	2	no	—
280	C₂×C₈	—	22	2	no	—
281	C₂×C₈	—	22	4	no	—
282	C₂×C₈	—	88	4	no	—
283	C₂×C₈	C₂²×Dic₁₁	1	1	yes	characteristic
284	C₂×C₈	C₂²×Dic₁₁	1	1	yes	characteristic
285	C₂×C₈	C₂²×Dic₁₁	1	1	yes	characteristic
286	C₂×C₈	C₂²×Dic₁₁	1	1	yes	characteristic
287	C₄⋊C₄	—	2	2	no	—
288	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
289	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
290	C₂²⋊C₄	—	2	2	no	—
291	C₂²⋊C₄	—	2	2	no	—
292	C₂²⋊C₄	—	2	2	no	—
293	C₂²⋊C₄	—	2	2	no	—
294	C₄²	D₄×D₁₁	1	1	yes	characteristic
295	C₄²	#4341	1	1	yes	characteristic
296	C₄²	C₂²×Dic₁₁	1	1	yes	characteristic
297	C₄²	C₂³×D₁₁	1	1	yes	characteristic
298	C₁₁	#18054	1	1	yes	characteristic, complemented, Sylow
299	C₂³	—	2	2	no	—
300	C₂³	—	2	2	no	—
301	C₂³	—	4	4	no	—
302	C₂³	—	4	4	no	—
303	C₂³	—	8	2	no	—
304	C₂³	D₄×Dic₁₁	1	1	yes	characteristic
305	D₄	—	2	2	no	—
306	D₄	—	2	2	no	—
307	D₄	—	2	2	no	—
308	D₄	—	4	4	no	—
309	D₄	C₂×#4318	1	4	yes	—
310	C₂×C₄	—	2	2	no	—
311	C₂×C₄	—	2	2	no	—
312	C₂×C₄	—	2	1	no	—
313	C₂×C₄	—	2	1	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	4	4	no	—
317	C₂×C₄	—	4	4	no	—
318	C₂×C₄	—	8	2	no	—
319	C₂×C₄	—	8	2	no	—
320	C₂×C₄	—	8	2	no	—
321	C₂×C₄	D₄×Dic₁₁	1	1	yes	characteristic
322	C₂×C₄	D₄×Dic₁₁	1	1	yes	characteristic
323	C₂×C₄	D₄×Dic₁₁	1	1	yes	characteristic
324	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
325	C₂×C₄	C₂×#4341	1	1	yes	characteristic
326	C₂×C₄	C₂³×Dic₁₁	1	1	yes	characteristic
327	C₈	—	2	1	no	—
328	C₈	—	2	1	no	—
329	C₈	—	2	1	no	—
330	C₈	—	22	4	no	—
331	C₈	—	22	2	no	—
332	C₈	—	22	2	no	—
333	C₈	—	44	4	no	—
334	C₈	C₂×#4318	1	2	yes	—
335	C₂²	—	2	1	no	—
336	C₂²	—	2	1	no	—
337	C₂²	—	2	4	no	—
338	C₂²	—	4	2	no	—
339	C₂²	—	4	2	no	—
340	C₂²	—	4	2	no	—
341	C₂²	—	4	2	no	—
342	C₂²	—	4	2	no	—
343	C₂²	—	8	8	no	—
344	C₂²	#10622809	1	2	yes	—
345	C₂²	C₂×D₄×Dic₁₁	1	1	yes	characteristic
346	C₄	—	2	1	no	—
347	C₄	—	2	1	no	—
348	C₄	—	2	1	no	—
349	C₄	—	2	1	no	—
350	C₄	—	4	2	no	—
351	C₄	—	4	2	no	—
352	C₄	#10623288	1	2	yes	—
353	C₄	C₂²×#4318	1	1	yes	characteristic
354	C₄	#10623350	1	1	yes	characteristic
355	C₂	—	2	2	no	—
356	C₂	—	4	4	no	—
357	C₂	—	8	2	no	—
358	C₂	D₄×#4318	1	1	yes	characteristic
359	C₂	#13077468	1	1	yes	characteristic
360	C₂	C₂×#10622809	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	#18054
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. #13077651	C₂	semidirect
2. #13067501	C₂	semidirect
3. #13067481	C₂	semidirect
4. D₈×C₁₁⋊C₈	C₂	semidirect
5. #13067379	C₂	semidirect
6. #13067059	C₂	semidirect
7. C₈×#4318	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. #10622096	C₂²	semidirect
31. #10622095	C₂²	semidirect
32. #10622092	C₂²	semidirect
33. C₈×C₁₁⋊C₈	C₂²	semidirect
94. C₁₁×D₈	M₁₆	semidirect
273. D₈	#4318	semidirect
298. C₁₁	#18054	semidirect

Maximal subgroups

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

subgroup	index
#13077651	2
#13067501	2
#13067481	2
D₈×C₁₁⋊C₈	2
#13067379	2
#13067059	2
C₈×#4318	2
C₂×C₄×C₁₁×D₈	2
#18054	11