Subgroups — C₃×C₃⋊D₃×C₄⋊Q₈ #13179475

Order 1728.

2012 conjugacy classes of subgroups.

The subgroup lattice has 312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×Q₈×C₃⋊D₃	C₂	1	2	yes	maximal
2	C₃³×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#64153	C₂	1	2	yes	maximal, complemented
4	C₃×C₄⋊C₄×C₃⋊D₃	C₂	1	4	yes	maximal
5	C₃×#64097	C₂	1	4	yes	maximal, complemented
6	C₃×C₄²×C₃⋊D₃	C₂	1	1	yes	maximal, characteristic
7	C₃×#64078	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃⋊D₃×C₄⋊Q₈	C₃	1	1	yes	maximal, characteristic, direct product factor
9	C₃×D₃×C₄⋊Q₈	—	3	4	no	maximal
10	C₂×C₃³×Q₈	C₂²	1	2	yes	—
11	C₃×Q₈×C₃⋊D₃	—	2	8	no	—
12	C₂×C₃×C₄×C₃⋊D₃	C₂²	1	4	yes	—
13	C₂×C₃×C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
14	C₂×C₃×C₄×C₃⋊D₃	C₂²	1	2	yes	—
15	C₂×C₃×#634	C₂²	1	2	yes	—
16	C₂×C₃×#634	C₂²	1	4	yes	—
17	C₃³×C₄⋊C₄	C₂²	1	4	yes	—
18	C₃³×C₄²	C₂²	1	1	yes	characteristic
19	C₃×C₄⋊(C₃⋊Dic₃)	C₂²	1	4	yes	—
20	C₃×#3750	C₂²	1	8	yes	—
21	C₃×C₄×C₃⋊Dic₃	C₂²	1	2	yes	—
22	C₃×C₄×C₃⋊Dic₃	C₂²	1	1	yes	characteristic
23	C₂×Q₈×C₃⋊D₃	C₂×C₃	1	2	yes	—
24	C₂×C₃×D₃×Q₈	—	3	8	no	—
25	C₃²×C₄⋊Q₈	—	2	4	no	—
26	C₃²×C₄⋊Q₈	D₃	1	4	yes	complemented
27	C₃²×C₄⋊Q₈	C₂×C₃	1	1	yes	characteristic, complemented
28	#64153	C₂×C₃	1	2	yes	complemented
29	C₄⋊C₄×C₃⋊D₃	C₂×C₃	1	4	yes	—
30	#64097	C₂×C₃	1	4	yes	complemented
31	C₄²×C₃⋊D₃	C₂×C₃	1	1	yes	characteristic
32	#64078	C₂×C₃	1	1	yes	characteristic, complemented
33	C₃×#944	—	3	8	no	—
34	C₃×D₃×C₄⋊C₄	—	3	16	no	—
35	C₃×#888	—	3	16	no	—
36	C₃×C₄²×D₃	—	3	4	no	—
37	C₃×#869	—	3	4	no	—
38	C₂²×C₃×C₃⋊D₃	C₂³	1	1	yes	characteristic
39	C₃³×Q₈	—	2	4	no	—
40	C₂×C₃³×C₄	C₂³	1	4	yes	—
41	C₂×C₃³×C₄	C₂³	1	1	yes	characteristic
42	C₂×C₃³×C₄	C₂³	1	2	yes	—
43	C₂×C₃×C₃⋊Dic₃	C₂³	1	4	yes	—
44	C₂×C₃×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
45	C₂×C₃×C₃⋊Dic₃	C₂³	1	2	yes	—
46	C₃×C₄×C₃⋊D₃	—	2	8	no	—
47	C₃×C₄×C₃⋊D₃	D₄	1	4	yes	—
48	C₃×C₄×C₃⋊D₃	Q₈	1	8	yes	complemented
49	C₃×#634	—	2	4	no	—
50	C₃×#634	—	2	8	no	—
51	C₂×C₃×C₄⋊Q₈	—	9	1	no	—
52	D₃×C₄⋊Q₈	—	3	4	no	—
53	C₂×C₃²×Q₈	—	2	8	no	—
54	C₂×C₃²×Q₈	C₂×D₃	1	8	yes	—
55	C₂×C₃²×Q₈	C₂²×C₃	1	2	yes	—
56	Q₈×C₃⋊D₃	—	2	8	no	—
57	C₂×C₄×C₃⋊D₃	C₂²×C₃	1	4	yes	—
58	C₂×C₄×C₃⋊D₃	C₂²×C₃	1	1	yes	characteristic
59	C₂×C₄×C₃⋊D₃	C₂²×C₃	1	2	yes	—
60	C₂×#634	C₂²×C₃	1	2	yes	—
61	C₂×#634	C₂²×C₃	1	4	yes	—
62	C₃×D₃×Q₈	—	6	32	no	—
63	C₂×C₃×C₄×D₃	—	3	8	no	—
64	C₂×C₃×C₄×D₃	—	3	4	no	—
65	C₂×C₃×C₄×D₃	—	3	16	no	—
66	C₂×C₃×Dic₆	—	3	16	no	—
67	C₂×C₃×Dic₆	—	3	8	no	—
68	C₃²×C₄⋊C₄	—	2	16	no	—
69	C₃²×C₄⋊C₄	C₂×D₃	1	16	yes	—
70	C₃²×C₄⋊C₄	C₂²×C₃	1	4	yes	—
71	C₃²×C₄²	—	2	4	no	—
72	C₃²×C₄²	C₂×D₃	1	4	yes	—
73	C₃²×C₄²	C₂²×C₃	1	1	yes	characteristic
74	C₄⋊(C₃⋊Dic₃)	C₂²×C₃	1	4	yes	—
75	#3750	C₂²×C₃	1	8	yes	—
76	C₄×C₃⋊Dic₃	C₂²×C₃	1	2	yes	—
77	C₄×C₃⋊Dic₃	C₂²×C₃	1	1	yes	characteristic
78	C₃×C₄⋊Dic₃	—	3	16	no	—
79	C₃×Dic₃⋊C₄	—	3	32	no	—
80	C₃×C₄×Dic₃	—	3	8	no	—
81	C₃×C₄×Dic₃	—	3	4	no	—
82	C₂²×C₃³	C₂⁴	1	1	yes	characteristic
83	C₂×C₃×C₃⋊D₃	C₂×D₄	1	2	yes	—
84	C₂×C₃×C₃⋊D₃	C₂×Q₈	1	4	yes	—
85	C₃³×C₄	—	2	4	no	—
86	C₃³×C₄	C₂×D₄	1	2	yes	—
87	C₃³×C₄	C₂×Q₈	1	4	yes	complemented
88	C₃×C₃⋊Dic₃	—	2	4	no	—
89	C₃×C₃⋊Dic₃	C₂×D₄	1	2	yes	—
90	C₃×C₃⋊Dic₃	C₂×Q₈	1	4	yes	complemented
91	C₂²×C₃×Q₈	—	9	2	no	—
92	C₂×D₃×Q₈	—	3	8	no	—
93	C₃×C₄⋊Q₈	—	2	4	no	—
94	C₃×C₄⋊Q₈	—	9	2	no	—
95	C₃×C₄⋊Q₈	—	9	4	no	—
96	C₃×C₄⋊Q₈	—	9	1	no	—
97	C₃×C₄⋊Q₈	C₃×D₃	1	4	yes	complemented
98	C₃×C₄⋊Q₈	C₃⋊D₃	1	1	yes	characteristic, direct product factor
99	C₂×C₃×C₄⋊C₄	—	9	4	no	—
100	C₂×C₃×C₄²	—	9	1	no	—
101	#944	—	3	8	no	—
102	D₃×C₄⋊C₄	—	3	16	no	—
103	#888	—	3	16	no	—
104	C₄²×D₃	—	3	4	no	—
105	#869	—	3	4	no	—
106	C₂²×C₃⋊D₃	C₂³×C₃	1	1	yes	characteristic
107	C₂²×C₃×D₃	—	3	4	no	—
108	C₃²×Q₈	—	2	4	no	—
109	C₃²×Q₈	—	2	16	no	—
110	C₃²×Q₈	—	4	16	no	—
111	C₂×C₃²×C₄	—	2	8	no	—
112	C₂×C₃²×C₄	—	2	4	no	—
113	C₂×C₃²×C₄	—	2	16	no	—
114	C₂×C₃²×C₄	C₂²×D₃	1	16	yes	—
115	C₂×C₃²×C₄	C₂²×D₃	1	4	yes	—
116	C₂×C₃²×C₄	C₂²×D₃	1	8	yes	—
117	C₂×C₃²×C₄	C₂³×C₃	1	4	yes	—
118	C₂×C₃²×C₄	C₂³×C₃	1	1	yes	characteristic
119	C₂×C₃²×C₄	C₂³×C₃	1	2	yes	—
120	C₂×C₃⋊Dic₃	C₂³×C₃	1	4	yes	—
121	C₂×C₃⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
122	C₂×C₃⋊Dic₃	C₂³×C₃	1	2	yes	—
123	C₄×C₃⋊D₃	—	2	8	no	—
124	C₄×C₃⋊D₃	C₃×D₄	1	4	yes	—
125	C₄×C₃⋊D₃	C₃×Q₈	1	8	yes	complemented
126	#634	—	2	4	no	—
127	#634	—	2	8	no	—
128	C₂×C₃×Dic₃	—	3	8	no	—
129	C₂×C₃×Dic₃	—	3	4	no	—
130	C₂×C₃×Dic₃	—	3	16	no	—
131	C₃×C₄×D₃	—	3	16	no	—
132	C₃×C₄×D₃	—	3	32	no	—
133	C₃×C₄×D₃	—	6	32	no	—
134	C₃×Dic₆	—	6	32	no	—
135	C₃×Dic₆	—	6	16	no	—
136	C₂×C₄⋊Q₈	—	9	1	no	Sylow
137	C₂×C₃³	C₂²×D₄	1	1	yes	characteristic
138	C₂×C₃³	C₂²×Q₈	1	2	yes	—
139	C₃×C₃⋊D₃	C₄⋊Q₈	1	4	yes	direct product factor
140	C₂×C₃×Q₈	—	2	8	no	—
141	C₂×C₃×Q₈	—	9	4	no	—
142	C₂×C₃×Q₈	—	9	2	no	—
143	C₂×C₃×Q₈	—	18	8	no	—
144	C₂×C₃×Q₈	C₂×C₃×D₃	1	8	yes	—
145	C₂×C₃×Q₈	C₂×C₃⋊D₃	1	2	yes	—
146	C₂²×C₃×C₄	—	9	2	no	—
147	C₂²×C₃×C₄	—	9	1	no	—
148	C₂²×C₃×C₄	—	9	4	no	—
149	D₃×Q₈	—	6	32	no	—
150	C₂×C₄×D₃	—	3	8	no	—
151	C₂×C₄×D₃	—	3	4	no	—
152	C₂×C₄×D₃	—	3	16	no	—
153	C₂×Dic₆	—	3	8	no	—
154	C₂×Dic₆	—	3	16	no	—
155	C₃×C₄⋊C₄	—	2	16	no	—
156	C₃×C₄⋊C₄	—	9	8	no	—
157	C₃×C₄⋊C₄	—	9	4	no	—
158	C₃×C₄⋊C₄	C₂×C₃×D₃	1	16	yes	—
159	C₃×C₄⋊C₄	C₂×C₃⋊D₃	1	4	yes	—
160	C₃×C₄²	—	2	4	no	—
161	C₃×C₄²	—	9	1	no	—
162	C₃×C₄²	—	9	2	no	—
163	C₃×C₄²	C₂×C₃×D₃	1	4	yes	—
164	C₃×C₄²	C₂×C₃⋊D₃	1	1	yes	characteristic
165	C₄⋊Dic₃	—	3	16	no	—
166	Dic₃⋊C₄	—	3	32	no	—
167	C₄×Dic₃	—	3	8	no	—
168	C₄×Dic₃	—	3	4	no	—
169	C₂²×C₃²	—	2	4	no	—
170	C₂²×C₃²	C₂³×D₃	1	4	yes	—
171	C₂²×C₃²	C₂⁴×C₃	1	1	yes	characteristic
172	C₂×C₃⋊D₃	C₂×C₃×D₄	1	2	yes	—
173	C₂×C₃⋊D₃	C₂×C₃×Q₈	1	4	yes	—
174	C₂×C₃×D₃	—	3	8	no	—
175	C₂×C₃×D₃	—	3	16	no	—
176	C₃²×C₄	—	2	4	no	—
177	C₃²×C₄	—	2	8	no	—
178	C₃²×C₄	—	2	16	no	—
179	C₃²×C₄	—	2	16	no	—
180	C₃²×C₄	—	4	16	no	—
181	C₃²×C₄	D₃×D₄	1	8	yes	—
182	C₃²×C₄	D₃×Q₈	1	16	yes	complemented
183	C₃²×C₄	C₂×C₃×D₄	1	2	yes	—
184	C₃²×C₄	C₂×C₃×Q₈	1	4	yes	complemented
185	C₃⋊Dic₃	—	2	4	no	—
186	C₃⋊Dic₃	C₂×C₃×D₄	1	2	yes	—
187	C₃⋊Dic₃	C₂×C₃×Q₈	1	4	yes	complemented
188	C₃×Dic₃	—	3	8	no	—
189	C₃×Dic₃	—	3	16	no	—
190	C₃×Dic₃	—	6	16	no	—
191	C₂²×Q₈	—	9	2	no	—
192	C₄⋊Q₈	—	9	2	no	—
193	C₄⋊Q₈	—	9	4	no	—
194	C₄⋊Q₈	—	9	1	no	—
195	C₄⋊Q₈	C₃×C₃⋊D₃	1	1	yes	characteristic, direct product factor
196	C₂×C₄⋊C₄	—	9	4	no	—
197	C₂×C₄²	—	9	1	no	—
198	C₃³	C₂×C₄⋊Q₈	1	1	yes	characteristic, complemented, Sylow
199	C₂³×C₃	—	9	1	no	—
200	C₂²×D₃	—	3	4	no	—
201	C₃×Q₈	—	2	16	no	—
202	C₃×Q₈	—	2	4	no	—
203	C₃×Q₈	—	4	16	no	—
204	C₃×Q₈	—	18	8	no	—
205	C₃×Q₈	—	18	4	no	—
206	C₂×C₃×C₄	—	2	8	no	—
207	C₂×C₃×C₄	—	2	4	no	—
208	C₂×C₃×C₄	—	2	16	no	—
209	C₂×C₃×C₄	—	9	2	no	—
210	C₂×C₃×C₄	—	9	1	no	—
211	C₂×C₃×C₄	—	9	4	no	—
212	C₂×C₃×C₄	—	9	8	no	—
213	C₂×C₃×C₄	—	9	4	no	—
214	C₂×C₃×C₄	—	18	8	no	—
215	C₂×C₃×C₄	C₂²×C₃×D₃	1	16	yes	—
216	C₂×C₃×C₄	C₂²×C₃×D₃	1	4	yes	—
217	C₂×C₃×C₄	C₂²×C₃×D₃	1	8	yes	—
218	C₂×C₃×C₄	C₂²×C₃⋊D₃	1	4	yes	—
219	C₂×C₃×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
220	C₂×C₃×C₄	C₂²×C₃⋊D₃	1	2	yes	—
221	C₂×Dic₃	—	3	8	no	—
222	C₂×Dic₃	—	3	4	no	—
223	C₂×Dic₃	—	3	16	no	—
224	C₄×D₃	—	3	16	no	—
225	C₄×D₃	—	3	32	no	—
226	C₄×D₃	—	6	32	no	—
227	Dic₆	—	6	32	no	—
228	Dic₆	—	6	16	no	—
229	C₂×C₃²	—	2	4	no	—
230	C₂×C₃²	—	2	8	no	—
231	C₂×C₃²	C₂×D₃×D₄	1	4	yes	—
232	C₂×C₃²	C₂×D₃×Q₈	1	8	yes	—
233	C₂×C₃²	C₂²×C₃×D₄	1	1	yes	characteristic
234	C₂×C₃²	C₂²×C₃×Q₈	1	2	yes	—
235	C₃⋊D₃	C₃×C₄⋊Q₈	1	4	yes	direct product factor
236	C₃×D₃	—	3	16	no	—
237	C₂×Q₈	—	9	4	no	—
238	C₂×Q₈	—	9	2	no	—
239	C₂×Q₈	—	18	8	no	—
240	C₂×Q₈	C₂×C₃×C₃⋊D₃	1	2	yes	—
241	C₂²×C₄	—	9	2	no	—
242	C₂²×C₄	—	9	1	no	—
243	C₂²×C₄	—	9	4	no	—
244	C₄⋊C₄	—	9	8	no	—
245	C₄⋊C₄	—	9	4	no	—
246	C₄⋊C₄	C₂×C₃×C₃⋊D₃	1	4	yes	—
247	C₄²	—	9	1	no	—
248	C₄²	—	9	2	no	—
249	C₄²	C₂×C₃×C₃⋊D₃	1	1	yes	characteristic
250	C₂²×C₃	—	2	4	no	—
251	C₂²×C₃	—	9	2	no	—
252	C₂²×C₃	—	9	4	no	—
253	C₂²×C₃	C₂³×C₃×D₃	1	4	yes	—
254	C₂²×C₃	C₂³×C₃⋊D₃	1	1	yes	characteristic
255	C₂×D₃	—	3	8	no	—
256	C₂×D₃	—	3	16	no	—
257	C₃×C₄	—	2	16	no	—
258	C₃×C₄	—	2	4	no	—
259	C₃×C₄	—	2	8	no	—
260	C₃×C₄	—	2	16	no	—
261	C₃×C₄	—	4	16	no	—
262	C₃×C₄	—	9	2	no	—
263	C₃×C₄	—	9	4	no	—
264	C₃×C₄	—	18	4	no	—
265	C₃×C₄	C₃×D₃×D₄	1	8	yes	—
266	C₃×C₄	C₃×D₃×Q₈	1	16	yes	complemented
267	C₃×C₄	D₄×C₃⋊D₃	1	2	yes	—
268	C₃×C₄	Q₈×C₃⋊D₃	1	4	yes	complemented
269	Dic₃	—	3	8	no	—
270	Dic₃	—	3	16	no	—
271	Dic₃	—	6	16	no	—
272	C₃²	—	2	4	no	—
273	C₃²	D₃×C₄⋊Q₈	1	4	yes	complemented
274	C₃²	C₂×C₃×C₄⋊Q₈	1	1	yes	characteristic, complemented
275	C₂³	—	9	1	no	—
276	Q₈	—	2	4	no	—
277	Q₈	—	18	8	no	—
278	Q₈	—	18	4	no	—
279	C₂×C₄	—	9	2	no	—
280	C₂×C₄	—	9	1	no	—
281	C₂×C₄	—	9	4	no	—
282	C₂×C₄	—	9	8	no	—
283	C₂×C₄	—	9	4	no	—
284	C₂×C₄	—	18	8	no	—
285	C₂×C₄	C₂²×C₃×C₃⋊D₃	1	4	yes	—
286	C₂×C₄	C₂²×C₃×C₃⋊D₃	1	1	yes	characteristic
287	C₂×C₄	C₂²×C₃×C₃⋊D₃	1	2	yes	—
288	C₂×C₃	—	2	4	no	—
289	C₂×C₃	—	2	8	no	—
290	C₂×C₃	—	9	4	no	—
291	C₂×C₃	C₂×C₃×D₃×D₄	1	4	yes	—
292	C₂×C₃	C₂×C₃×D₃×Q₈	1	8	yes	—
293	C₂×C₃	C₂×D₄×C₃⋊D₃	1	1	yes	characteristic
294	C₂×C₃	C₂×Q₈×C₃⋊D₃	1	2	yes	—
295	D₃	—	3	16	no	—
296	C₂²	—	9	2	no	—
297	C₂²	—	9	4	no	—
298	C₂²	C₂³×C₃×C₃⋊D₃	1	1	yes	characteristic
299	C₄	—	2	4	no	—
300	C₄	—	9	2	no	—
301	C₄	—	9	4	no	—
302	C₄	—	18	4	no	—
303	C₄	C₃×D₄×C₃⋊D₃	1	2	yes	—
304	C₄	C₃×Q₈×C₃⋊D₃	1	4	yes	complemented
305	C₃	—	2	4	no	—
306	C₃	C₃×D₃×C₄⋊Q₈	1	4	yes	complemented
307	C₃	C₃⋊D₃×C₄⋊Q₈	1	1	yes	characteristic, direct product factor
308	C₂	—	9	4	no	—
309	C₂	C₂×C₃×D₄×C₃⋊D₃	1	1	yes	characteristic
310	C₂	C₂×C₃×Q₈×C₃⋊D₃	1	2	yes	—

	subgroup	G/H
center	C₂²×C₃	C₂³×C₃⋊D₃
commutator, cosocle	C₂²×C₃²	C₂⁴×C₃
Frattini	C₂²	C₂³×C₃×C₃⋊D₃
Fitting	C₃³×C₄⋊Q₈	C₂
socle	C₂²×C₃³	C₂⁴
prime radical	C₂²×C₃×C₃⋊D₃	C₂³
hypercenter	C₃×C₄⋊Q₈	C₃⋊D₃
hypocenter	C₃²	C₂×C₃×C₄⋊Q₈
LCS	G ▷ C₂²×C₃² ▷ C₃²
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×C₄⋊Q₈

Complements

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

N	H ≅ G/N	type
2. C₃³×C₄⋊Q₈	C₂	semidirect
3. C₃×#64153	C₂	semidirect
5. C₃×#64097	C₂	semidirect
7. C₃×#64078	C₂	semidirect
8. C₃⋊D₃×C₄⋊Q₈	C₃	direct (N × H)
26. C₃²×C₄⋊Q₈	D₃	semidirect
27. C₃²×C₄⋊Q₈	C₂×C₃	semidirect
28. #64153	C₂×C₃	semidirect
30. #64097	C₂×C₃	semidirect
32. #64078	C₂×C₃	semidirect
48. C₃×C₄×C₃⋊D₃	Q₈	semidirect
87. C₃³×C₄	C₂×Q₈	semidirect
90. C₃×C₃⋊Dic₃	C₂×Q₈	semidirect
97. C₃×C₄⋊Q₈	C₃×D₃	semidirect
98. C₃×C₄⋊Q₈	C₃⋊D₃	direct (N × H)
125. C₄×C₃⋊D₃	C₃×Q₈	semidirect
139. C₃×C₃⋊D₃	C₄⋊Q₈	direct (N × H)
182. C₃²×C₄	D₃×Q₈	semidirect
184. C₃²×C₄	C₂×C₃×Q₈	semidirect
187. C₃⋊Dic₃	C₂×C₃×Q₈	semidirect
195. C₄⋊Q₈	C₃×C₃⋊D₃	direct (N × H)
198. C₃³	C₂×C₄⋊Q₈	semidirect
235. C₃⋊D₃	C₃×C₄⋊Q₈	direct (N × H)
266. C₃×C₄	C₃×D₃×Q₈	semidirect
268. C₃×C₄	Q₈×C₃⋊D₃	semidirect
273. C₃²	D₃×C₄⋊Q₈	semidirect
274. C₃²	C₂×C₃×C₄⋊Q₈	semidirect
304. C₄	C₃×Q₈×C₃⋊D₃	semidirect
306. C₃	C₃×D₃×C₄⋊Q₈	semidirect
307. C₃	C₃⋊D₃×C₄⋊Q₈	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×C₃×Q₈×C₃⋊D₃	2
C₃³×C₄⋊Q₈	2
C₃×#64153	2
C₃×C₄⋊C₄×C₃⋊D₃	2
C₃×#64097	2
C₃×C₄²×C₃⋊D₃	2
C₃×#64078	2
C₃⋊D₃×C₄⋊Q₈	3
C₃×D₃×C₄⋊Q₈	3

Subgroups — C3×C3⋊D3×C4⋊Q8 #13179475

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×C₃⋊D₃×C₄⋊Q₈ #13179475