Subgroups — #16779029

Order 3328.

782 conjugacy classes of subgroups.

The subgroup lattice has 390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×D₁₃⋊M₁₆	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×D₁₃⋊C₈	C₂	1	1	yes	maximal, characteristic
3	#13129667	C₂	1	4	yes	maximal, complemented
4	D₁₃×#431	C₂	1	1	yes	maximal, characteristic
5	C₂×D₁₃⋊M₁₆	C₄	1	2	yes	—
6	C₂²×D₁₃⋊C₈	—	2	1	no	—
7	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
8	C₄×#6122	—	2	1	no	—
9	C₄×#6122	—	2	1	no	—
10	C₂×C₄×#1057	—	2	1	no	—
11	C₂×C₄×#1057	C₄	1	2	yes	—
12	C₄×#6118	C₄	1	2	yes	—
13	C₄×#6118	C₂²	1	2	yes	—
14	#11719047	—	2	1	no	—
15	C₄×D₁₃⋊C₈	—	2	1	no	—
16	C₄×D₁₃⋊C₈	—	2	1	no	—
17	C₄×D₁₃⋊C₈	—	2	1	no	—
18	C₄×D₁₃⋊C₈	C₄	1	2	yes	—
19	C₄×D₁₃⋊C₈	C₂²	1	2	yes	—
20	C₁₃×#431	C₄	1	1	yes	characteristic
21	#11718586	C₄	1	1	yes	characteristic
22	#11718494	C₂²	1	2	yes	—
23	D₁₃×C₄⋊C₈	C₄	1	2	yes	—
24	D₁₃×C₂²⋊C₈	—	2	1	no	—
25	#11718379	—	2	1	no	—
26	#11718346	—	2	1	no	—
27	C₄×C₈×D₁₃	—	2	1	no	—
28	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
29	C₂²×C₄×D₁₃	D₄	1	1	yes	characteristic
30	C₂²×C₄×D₁₃	Q₈	1	1	yes	characteristic
31	C₂×#6122	—	2	2	no	—
32	C₂²×#1057	—	2	2	no	—
33	D₁₃⋊M₁₆	—	2	4	no	—
34	D₁₃⋊M₁₆	C₈	1	8	yes	complemented
35	C₂×#6118	C₂×C₄	1	4	yes	—
36	C₂×D₁₃⋊C₈	—	2	8	no	—
37	C₂×D₁₃⋊C₈	—	2	2	no	—
38	C₂×D₁₃⋊C₈	—	2	2	no	—
39	C₂×D₁₃⋊C₈	—	2	2	no	—
40	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
41	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
42	C₂×C₄×Dic₁₃	D₄	1	1	yes	characteristic
43	C₂×C₄×Dic₁₃	D₄	1	1	yes	characteristic
44	C₂×C₈×D₁₃	—	2	2	no	—
45	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
46	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
47	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
48	C₄²×D₁₃	D₄	1	1	yes	characteristic
49	C₄²×D₁₃	D₄	1	1	yes	characteristic
50	C₄²×D₁₃	D₄	1	1	yes	characteristic
51	C₄²×D₁₃	Q₈	1	1	yes	characteristic
52	C₄²×D₁₃	C₂³	1	1	yes	characteristic
53	#88110	—	2	2	no	—
54	#88110	—	2	2	no	—
55	C₄×#1057	—	2	2	no	—
56	C₄×#1057	—	2	2	no	—
57	C₄×#1057	—	2	2	no	—
58	C₄×#1057	—	2	2	no	—
59	C₄×#1057	—	2	2	no	—
60	C₄×#1057	C₂×C₄	1	4	yes	—
61	C₁₃×C₄⋊C₈	C₂×C₄	1	2	yes	—
62	C₁₃×C₂²⋊C₈	—	2	1	no	—
63	C₄×C₈×C₁₃	—	2	1	no	—
64	C₂²⋊#1055	—	2	1	no	—
65	#88060	—	2	2	no	—
66	#88054	—	2	2	no	—
67	C₈×Dic₁₃	—	2	2	no	—
68	C₄⋊#1055	C₂×C₄	1	2	yes	—
69	C₄×#1055	—	2	1	no	—
70	C₂×#1278	—	13	1	no	maximal, Sylow
71	C₂³×D₁₃	C₄⋊C₄	1	1	yes	characteristic
72	C₂²×C₄×C₁₃	C₄²	1	1	yes	characteristic
73	C₂²×C₄×C₁₃	C₂²⋊C₄	1	1	yes	characteristic
74	C₂²×C₄×C₁₃	C₄⋊C₄	1	1	yes	characteristic
75	C₂²×Dic₁₃	C₂²⋊C₄	1	1	yes	characteristic
76	C₂²×Dic₁₃	C₂²⋊C₄	1	1	yes	characteristic
77	C₂²×Dic₁₃	C₄⋊C₄	1	1	yes	characteristic
78	C₂×C₄×D₁₃	—	2	4	no	—
79	C₂×C₄×D₁₃	—	2	4	no	—
80	C₂×C₄×D₁₃	C₄²	1	1	yes	characteristic
81	C₂×C₄×D₁₃	C₂²⋊C₄	1	1	yes	characteristic
82	C₂×C₄×D₁₃	C₂²⋊C₄	1	1	yes	characteristic
83	C₂×C₄×D₁₃	C₂²⋊C₄	1	1	yes	characteristic
84	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
85	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
86	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
87	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
88	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
89	C₂×C₄×D₁₃	C₂×C₈	1	4	yes	—
90	C₂×C₄×D₁₃	M₁₆	1	4	yes	—
91	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
92	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
93	C₂×C₄×D₁₃	C₂×Q₈	1	1	yes	characteristic
94	#6122	—	2	8	no	—
95	C₂×#1057	—	2	8	no	—
96	C₂×#1057	—	2	4	no	—
97	C₂×#1057	—	2	4	no	—
98	#6118	—	2	4	no	—
99	#6118	C₂×C₈	1	8	yes	complemented
100	D₁₃⋊C₈	—	2	8	no	—
101	D₁₃⋊C₈	—	2	8	no	—
102	D₁₃⋊C₈	—	2	8	no	—
103	C₂×C₈×C₁₃	—	2	2	no	—
104	C₄²×C₁₃	C₄²	1	1	yes	characteristic
105	C₄²×C₁₃	C₂²⋊C₄	1	1	yes	characteristic
106	C₄²×C₁₃	C₄⋊C₄	1	1	yes	characteristic
107	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
108	C₄×Dic₁₃	C₄²	1	1	yes	characteristic
109	C₄×Dic₁₃	C₂²⋊C₄	1	1	yes	characteristic
110	C₄×Dic₁₃	C₂²⋊C₄	1	1	yes	characteristic
111	C₄×Dic₁₃	C₂²⋊C₄	1	1	yes	characteristic
112	C₄×Dic₁₃	C₂²⋊C₄	1	1	yes	characteristic
113	C₄×Dic₁₃	C₂²⋊C₄	1	1	yes	characteristic
114	C₄×Dic₁₃	C₄⋊C₄	1	1	yes	characteristic
115	C₄×Dic₁₃	C₄⋊C₄	1	1	yes	characteristic
116	C₄×Dic₁₃	C₄⋊C₄	1	1	yes	characteristic
117	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
118	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
119	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
120	C₂×#1055	—	2	2	no	—
121	C₈×D₁₃	—	4	4	no	—
122	C₂×#431	—	13	1	no	—
123	C₂×C₄×M₁₆	—	13	1	no	—
124	C₂²×C₄×C₈	—	13	1	no	—
125	#1278	—	13	4	no	—
126	C₂³×C₁₃	#95	1	1	yes	characteristic
127	C₂²×D₁₃	—	2	2	no	—
128	C₂²×D₁₃	—	2	2	no	—
129	C₂²×D₁₃	#95	1	1	yes	characteristic
130	C₂²×D₁₃	C₄⋊C₈	1	4	yes	—
131	C₂²×D₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
132	C₂×C₄×C₁₃	—	2	2	no	—
133	C₂×C₄×C₁₃	—	2	2	no	—
134	C₂×C₄×C₁₃	#95	1	1	yes	characteristic
135	C₂×C₄×C₁₃	#95	1	1	yes	characteristic
136	C₂×C₄×C₁₃	#95	1	1	yes	characteristic
137	C₂×C₄×C₁₃	C₄×C₈	1	2	yes	—
138	C₂×C₄×C₁₃	#97	1	2	yes	—
139	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
140	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
141	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
142	C₂×Dic₁₃	—	2	2	no	—
143	C₂×Dic₁₃	—	2	2	no	—
144	C₂×Dic₁₃	#95	1	1	yes	characteristic
145	C₂×Dic₁₃	#95	1	1	yes	characteristic
146	C₂×Dic₁₃	#95	1	1	yes	characteristic
147	C₂×Dic₁₃	C₂²⋊C₈	1	4	yes	—
148	C₂×Dic₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
149	C₂×Dic₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
150	C₂×Dic₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
151	C₄×D₁₃	—	2	2	no	—
152	C₄×D₁₃	—	2	2	no	—
153	C₄×D₁₃	—	2	2	no	—
154	C₄×D₁₃	—	2	2	no	—
155	C₄×D₁₃	—	2	2	no	—
156	C₄×D₁₃	—	2	2	no	—
157	C₄×D₁₃	C₄×C₈	1	2	yes	—
158	C₄×D₁₃	#97	1	2	yes	—
159	C₄×D₁₃	C₂²⋊C₈	1	4	yes	—
160	C₄×D₁₃	#104	1	4	yes	—
161	C₄×D₁₃	C₄⋊C₈	1	4	yes	—
162	C₄×D₁₃	#108	1	4	yes	—
163	C₄×D₁₃	C₂²×C₈	1	2	yes	—
164	C₄×D₁₃	C₂×M₁₆	1	2	yes	—
165	#1057	—	2	8	no	—
166	#1057	—	2	8	no	—
167	C₈×C₁₃	—	4	2	no	—
168	#1055	—	4	2	no	—
169	C₂²×M₁₆	—	13	2	no	—
170	C₂³×C₈	—	26	1	no	—
171	C₂²×C₄²	—	13	1	no	—
172	#431	—	13	1	no	—
173	#431	—	13	2	no	—
174	#431	—	26	1	no	—
175	#431	—	26	1	no	—
176	#431	#261	1	1	yes	characteristic
177	C₂×C₄⋊C₈	—	13	2	no	—
178	C₂×C₂²⋊C₈	—	26	1	no	—
179	C₄×M₁₆	—	13	2	no	—
180	C₄×M₁₆	—	13	2	no	—
181	C₄×M₁₆	—	26	1	no	—
182	C₄×M₁₆	—	26	1	no	—
183	C₂×#97	—	26	1	no	—
184	C₂×C₄×C₈	—	13	2	no	—
185	C₂×C₄×C₈	—	13	2	no	—
186	C₂×C₄×C₈	—	13	2	no	—
187	C₂×C₄×C₈	—	26	1	no	—
188	C₂×C₄×C₈	—	26	1	no	—
189	C₂×C₄×C₈	—	26	1	no	—
190	C₂×C₄×C₈	—	26	1	no	—
191	C₂×C₄×C₈	—	26	1	no	—
192	C₂²×C₁₃	—	2	1	no	—
193	C₂²×C₁₃	—	2	1	no	—
194	C₂²×C₁₃	#336	1	2	yes	—
195	C₂²×C₁₃	C₂×#95	1	1	yes	characteristic
196	C₂×D₁₃	—	2	1	no	—
197	C₂×D₁₃	—	2	1	no	—
198	C₂×D₁₃	—	2	8	no	—
199	C₂×D₁₃	#336	1	2	yes	—
200	C₂×D₁₃	#339	1	2	yes	—
201	C₂×D₁₃	#341	1	2	yes	—
202	C₂×D₁₃	C₂×C₄⋊C₈	1	2	yes	—
203	C₄×C₁₃	—	2	1	no	—
204	C₄×C₁₃	—	2	1	no	—
205	C₄×C₁₃	#336	1	2	yes	—
206	C₄×C₁₃	#341	1	2	yes	—
207	C₄×C₁₃	C₂×C₄×C₈	1	1	yes	characteristic
208	C₄×C₁₃	C₂×#97	1	1	yes	characteristic
209	C₄×C₁₃	C₂×#104	1	2	yes	—
210	Dic₁₃	—	2	1	no	—
211	Dic₁₃	—	2	1	no	—
212	Dic₁₃	#336	1	2	yes	—
213	Dic₁₃	#339	1	2	yes	—
214	Dic₁₃	C₂×C₂²⋊C₈	1	2	yes	—
215	Dic₁₃	C₂×#108	1	2	yes	—
216	C₂³×C₄	—	13	1	no	—
217	C₂³×C₄	—	13	1	no	—
218	C₂³×C₄	—	13	1	no	—
219	C₂×M₁₆	—	13	4	no	—
220	C₂×M₁₆	—	13	8	no	—
221	C₂×M₁₆	—	26	2	no	—
222	C₂×M₁₆	—	26	4	no	—
223	C₂²×C₈	—	26	2	no	—
224	C₂²×C₈	—	26	2	no	—
225	C₂²×C₈	—	26	2	no	—
226	C₂²×C₈	—	26	2	no	—
227	C₂²×C₈	—	26	2	no	—
228	C₂²×C₈	—	26	8	no	—
229	C₂×C₄²	—	13	1	no	—
230	C₂×C₄²	—	13	1	no	—
231	C₂×C₄²	—	13	1	no	—
232	C₂×C₄²	—	13	1	no	—
233	C₂×C₄²	—	13	1	no	—
234	C₂×C₄²	—	13	1	no	—
235	C₂×C₄²	—	13	1	no	—
236	C₂×C₄²	—	13	1	no	—
237	C₂×C₄²	—	13	1	no	—
238	C₂×C₄²	—	13	1	no	—
239	C₂×C₄²	—	13	1	no	—
240	C₂×C₄²	C₂×#261	1	1	yes	characteristic
241	C₄⋊C₈	—	13	2	no	—
242	C₄⋊C₈	—	26	2	no	—
243	C₄⋊C₈	C₂×#261	1	2	yes	—
244	C₂²⋊C₈	—	2	1	no	—
245	C₂²⋊C₈	—	26	2	no	—
246	C₂²⋊C₈	—	26	1	no	—
247	#97	—	26	2	no	—
248	#97	—	26	2	no	—
249	C₄×C₈	—	2	1	no	—
250	C₄×C₈	—	13	4	no	—
251	C₄×C₈	—	26	2	no	—
252	C₄×C₈	—	26	2	no	—
253	C₄×C₈	—	26	2	no	—
254	C₄×C₈	—	26	2	no	—
255	C₄×C₈	—	26	2	no	—
256	C₄×C₈	—	26	2	no	—
257	C₄×C₈	—	26	1	no	—
258	C₂×C₁₃	—	2	2	no	—
259	C₂×C₁₃	C₂×#336	1	1	yes	characteristic
260	C₂×C₁₃	C₂×#339	1	1	yes	characteristic
261	C₂×C₁₃	C₂×#341	1	1	yes	characteristic
262	D₁₃	—	2	2	no	—
263	D₁₃	#1278	1	4	yes	complemented
264	C₂⁴	—	13	1	no	—
265	C₂²×C₄	—	13	1	no	—
266	C₂²×C₄	—	13	4	no	—
267	C₂²×C₄	—	13	4	no	—
268	C₂²×C₄	—	13	1	no	—
269	C₂²×C₄	—	13	1	no	—
270	C₂²×C₄	—	13	1	no	—
271	C₂²×C₄	—	13	1	no	—
272	C₂²×C₄	—	13	1	no	—
273	C₂²×C₄	—	13	1	no	—
274	C₂²×C₄	—	13	1	no	—
275	C₂²×C₄	—	13	1	no	—
276	C₂²×C₄	—	13	1	no	—
277	C₂²×C₄	—	13	1	no	—
278	C₂²×C₄	—	13	1	no	—
279	C₂²×C₄	—	13	1	no	—
280	C₂²×C₄	—	13	1	no	—
281	C₂²×C₄	—	13	1	no	—
282	C₂²×C₄	—	26	4	no	—
283	C₂²×C₄	—	26	4	no	—
284	C₂²×C₄	C₄×#261	1	1	yes	characteristic
285	C₂²×C₄	C₄⋊#261	1	1	yes	characteristic
286	C₂²×C₄	C₂²⋊#261	1	1	yes	characteristic
287	M₁₆	—	13	8	no	—
288	M₁₆	—	26	4	no	—
289	M₁₆	—	26	8	no	—
290	C₂×C₈	—	2	2	no	—
291	C₂×C₈	—	26	4	no	—
292	C₂×C₈	—	26	4	no	—
293	C₂×C₈	—	26	8	no	—
294	C₂×C₈	—	26	8	no	—
295	C₂×C₈	—	26	8	no	—
296	C₂×C₈	—	26	8	no	—
297	C₂×C₈	—	26	2	no	—
298	C₂×C₈	—	52	4	no	—
299	C₄²	—	13	1	no	—
300	C₄²	—	13	1	no	—
301	C₄²	—	13	1	no	—
302	C₄²	—	13	1	no	—
303	C₄²	—	13	1	no	—
304	C₄²	—	13	1	no	—
305	C₄²	—	13	1	no	—
306	C₄²	—	13	1	no	—
307	C₄²	—	13	1	no	—
308	C₄²	—	13	1	no	—
309	C₄²	—	13	1	no	—
310	C₄²	—	13	1	no	—
311	C₄²	C₄×#261	1	1	yes	characteristic
312	C₄²	C₄⋊#261	1	1	yes	characteristic
313	C₄²	C₂²⋊#261	1	1	yes	characteristic
314	C₄²	C₂²×#261	1	1	yes	characteristic
315	C₁₃	C₂×#1278	1	1	yes	characteristic, complemented, Sylow
316	C₂³	—	13	1	no	—
317	C₂³	—	13	4	no	—
318	C₂³	—	13	1	no	—
319	C₂³	—	26	2	no	—
320	C₂³	—	26	2	no	—
321	C₂³	(C₂×#261)⋊C₄	1	1	yes	characteristic
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	13	4	no	—
325	C₂×C₄	—	13	1	no	—
326	C₂×C₄	—	13	1	no	—
327	C₂×C₄	—	13	1	no	—
328	C₂×C₄	—	13	1	no	—
329	C₂×C₄	—	13	4	no	—
330	C₂×C₄	—	13	4	no	—
331	C₂×C₄	—	13	4	no	—
332	C₂×C₄	—	13	2	no	—
333	C₂×C₄	—	13	2	no	—
334	C₂×C₄	—	13	2	no	—
335	C₂×C₄	—	13	2	no	—
336	C₂×C₄	—	13	4	no	—
337	C₂×C₄	—	13	1	no	—
338	C₂×C₄	—	13	1	no	—
339	C₂×C₄	—	26	2	no	—
340	C₂×C₄	—	26	2	no	—
341	C₂×C₄	—	26	2	no	—
342	C₂×C₄	—	26	2	no	—
343	C₂×C₄	—	26	2	no	—
344	C₂×C₄	—	26	2	no	—
345	C₂×C₄	—	26	2	no	—
346	C₂×C₄	—	26	2	no	—
347	C₂×C₄	C₈×#261	1	2	yes	—
348	C₂×C₄	#88100	1	2	yes	—
349	C₂×C₄	(C₂×#261)⋊C₄	1	1	yes	characteristic
350	C₂×C₄	(C₂×#261)⋊C₄	1	1	yes	characteristic
351	C₂×C₄	(C₂×#261)⋊C₄	1	1	yes	characteristic
352	C₂×C₄	C₂×C₄×#261	1	1	yes	characteristic
353	C₂×C₄	C₂×C₄⋊#261	1	1	yes	characteristic
354	C₂×C₄	C₂×C₂²⋊#261	1	1	yes	characteristic
355	C₈	—	4	2	no	—
356	C₈	—	26	8	no	—
357	C₈	—	26	8	no	—
358	C₈	—	52	2	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	2	1	no	—
361	C₂²	—	13	2	no	—
362	C₂²	—	13	2	no	—
363	C₂²	—	13	2	no	—
364	C₂²	—	13	2	no	—
365	C₂²	—	26	8	no	—
366	C₂²	—	26	1	no	—
367	C₂²	—	26	1	no	—
368	C₂²	(C₂×#261)⋊C₈	1	2	yes	—
369	C₂²	C₂×(C₂×#261)⋊C₄	1	1	yes	characteristic
370	C₄	—	2	1	no	—
371	C₄	—	2	1	no	—
372	C₄	—	13	2	no	—
373	C₄	—	13	2	no	—
374	C₄	—	13	2	no	—
375	C₄	—	13	2	no	—
376	C₄	—	26	1	no	—
377	C₄	—	26	1	no	—
378	C₄	(C₂×#261)⋊C₈	1	2	yes	—
379	C₄	#11718273	1	2	yes	—
380	C₄	C₂×C₈×#261	1	1	yes	characteristic
381	C₄	C₂×#88100	1	1	yes	characteristic
382	C₄	D₁₃⋊#104	1	2	yes	—
383	C₂	—	2	2	no	—
384	C₂	—	13	4	no	—
385	C₂	—	26	2	no	—
386	C₂	C₂×(C₂×#261)⋊C₈	1	1	yes	characteristic
387	C₂	#13130512	1	1	yes	characteristic
388	C₂	C₂×#11718273	1	1	yes	characteristic

	subgroup	G/H
center	C₄²	C₂²⋊#261
commutator	C₄×C₁₃	C₂×C₄×C₈
Frattini	C₄²	C₂²×#261
Fitting	C₁₃×#431	C₄
socle	C₂²×C₁₃	C₂×#95
prime radical	C₂³×D₁₃	C₄⋊C₄
cosocle	C₄²×D₁₃	C₂³
hypercenter	#431	#261
hypocenter	C₁₃	C₂×#1278
LCS	G ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₄² ◁ C₂×C₄² ◁ #431

Complements

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

N	H ≅ G/N	type
3. #13129667	C₂	semidirect
34. D₁₃⋊M₁₆	C₈	semidirect
99. #6118	C₂×C₈	semidirect
263. D₁₃	#1278	semidirect
315. C₁₃	C₂×#1278	semidirect

Maximal subgroups

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

subgroup	index
C₄×D₁₃⋊M₁₆	2
C₂×C₄×D₁₃⋊C₈	2
#13129667	2
D₁₃×#431	2
C₂×#1278	13