Subgroups — C₁₃×#61634 #15747973

Order 3328.

2018 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3538	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3486	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3312	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3300	C₂	1	4	yes	maximal, complemented
5	D₄×C₁₃×Q₁₆	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3270	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3223	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3202	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3190	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3127	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3011	C₂	1	2	yes	maximal, complemented
12	C₂×C₁₃×#451	C₂	1	2	yes	maximal, complemented
13	C₁₃×#2977	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
15	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic
16	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
17	C₂²×C₁₃×Q₁₆	C₂²	1	4	yes	—
18	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
19	C₁₃×#563	—	2	2	no	—
20	C₁₃×#552	C₂²	1	4	yes	—
21	C₁₃×#551	—	2	2	no	—
22	D₄×Q₈×C₁₃	—	2	2	no	—
23	D₄×Q₈×C₁₃	C₂²	1	4	yes	—
24	D₄×Q₈×C₁₃	C₂²	1	4	yes	—
25	C₁₃×#548	—	2	2	no	—
26	C₁₃×#548	C₂²	1	4	yes	—
27	C₁₃×#544	—	2	2	no	—
28	C₁₃×#541	C₂²	1	2	yes	—
29	C₁₃×#539	—	2	2	no	—
30	C₁₃×#536	—	2	2	no	—
31	C₁₃×#536	C₂²	1	1	yes	characteristic
32	C₁₃×#536	C₂²	1	2	yes	—
33	C₁₃×#536	C₂²	1	1	yes	characteristic
34	C₁₃×#525	—	2	2	no	—
35	C₁₃×#525	C₂²	1	1	yes	characteristic
36	C₁₃×#525	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
38	C₁₃×#519	C₂²	1	1	yes	characteristic
39	C₁₃×#497	C₂²	1	2	yes	complemented
40	C₁₃×#494	C₂²	1	2	yes	complemented
41	C₁₃×#491	C₂²	1	2	yes	complemented
42	C₁₃×#488	C₂²	1	2	yes	complemented
43	C₁₃×#485	C₂²	1	4	yes	—
44	C₁₃×#485	C₂²	1	4	yes	complemented
45	C₁₃×#483	C₂²	1	2	yes	—
46	C₁₃×#480	C₂²	1	2	yes	—
47	C₁₃×#479	C₂²	1	4	yes	complemented
48	C₁₃×#470	C₂²	1	4	yes	complemented
49	C₁₃×#467	C₂²	1	4	yes	—
50	C₁₃×#467	C₂²	1	4	yes	complemented
51	C₁₃×#465	C₂²	1	4	yes	—
52	C₁₃×#464	C₂²	1	4	yes	complemented
53	C₁₃×#462	C₂²	1	4	yes	complemented
54	C₁₃×#462	C₂²	1	4	yes	complemented
55	C₁₃×#452	C₂²	1	4	yes	—
56	C₁₃×#452	C₂²	1	4	yes	complemented
57	C₁₃×#451	C₂²	1	4	yes	—
58	C₁₃×#451	C₂²	1	4	yes	—
59	C₁₃×#451	C₂²	1	2	yes	—
60	C₁₃×#451	C₂²	1	4	yes	—
61	C₁₃×#451	C₂²	1	4	yes	—
62	C₁₃×#451	C₂²	1	4	yes	complemented
63	C₁₃×#451	C₂²	1	4	yes	complemented
64	C₁₃×#448	C₂²	1	2	yes	—
65	C₁₃×#441	C₂²	1	4	yes	complemented
66	C₄×C₁₃×Q₁₆	C₂²	1	4	yes	complemented
67	C₁₃×#435	C₂²	1	4	yes	—
68	C₈×D₄×C₁₃	C₂²	1	4	yes	—
69	C₁₃×#433	C₂²	1	2	yes	—
70	C₁₃×#419	C₂²	1	2	yes	complemented
71	C₁₃×#416	C₂²	1	2	yes	complemented
72	C₂×C₁₃×#103	C₂²	1	4	yes	—
73	C₁₃×#408	C₂²	1	2	yes	—
74	C₂×C₁₃×C₂²⋊C₈	C₂²	1	2	yes	—
75	C₁₃×2₋¹⁺⁴	—	4	4	no	—
76	C₂×C₁₃×#41	—	2	2	no	—
77	C₂×C₁₃×#41	—	2	1	no	—
78	C₂×C₁₃×#41	C₂³	1	2	yes	—
79	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
80	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
81	C₂²×Q₈×C₁₃	—	2	1	no	—
82	C₂²×Q₈×C₁₃	—	2	1	no	—
83	C₂²×Q₈×C₁₃	—	2	2	no	—
84	C₂²×Q₈×C₁₃	—	4	4	no	—
85	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
86	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
87	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
88	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
89	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
90	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
91	C₂³×C₄×C₁₃	—	2	1	no	—
92	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
93	C₁₃×#137	—	4	4	no	—
94	C₂×C₁₃×Q₁₆	—	4	8	no	—
95	C₂×C₁₃×Q₁₆	—	4	4	no	—
96	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
97	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
98	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
99	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
100	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
101	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
102	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
103	C₂²×C₈×C₁₃	C₂³	1	4	yes	—
104	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
105	C₁₃×C₄⋊Q₈	—	2	2	no	—
106	C₁₃×C₄⋊Q₈	—	2	1	no	—
107	C₁₃×C₄⋊Q₈	—	2	4	no	—
108	C₁₃×C₄⋊Q₈	—	2	4	no	—
109	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
110	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
111	C₁₃×#126	—	2	4	no	—
112	C₁₃×#126	—	2	4	no	—
113	C₁₃×#125	—	2	4	no	—
114	C₁₃×#125	—	2	4	no	—
115	C₁₃×#125	C₂³	1	2	yes	—
116	C₁₃×#124	—	2	1	no	—
117	C₁₃×#124	—	2	2	no	—
118	C₁₃×#124	—	2	4	no	—
119	C₁₃×#124	C₂³	1	2	yes	—
120	C₁₃×#123	—	2	2	no	—
121	C₁₃×#123	—	2	2	no	—
122	C₁₃×#123	—	2	2	no	—
123	C₁₃×#123	—	2	4	no	—
124	C₁₃×#123	—	2	1	no	—
125	C₁₃×#123	—	2	2	no	—
126	C₁₃×#123	D₄	1	2	yes	—
127	C₁₃×C₂²⋊Q₈	—	2	2	no	—
128	C₁₃×C₂²⋊Q₈	—	2	2	no	—
129	C₁₃×C₂²⋊Q₈	—	2	4	no	—
130	C₁₃×C₂²⋊Q₈	—	2	2	no	—
131	C₁₃×C₂²⋊Q₈	—	2	4	no	—
132	C₁₃×C₂²⋊Q₈	—	2	4	no	—
133	C₁₃×C₂²⋊Q₈	—	2	4	no	—
134	C₁₃×C₂²⋊Q₈	—	2	4	no	—
135	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
136	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
137	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
138	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
139	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
140	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
141	C₁₃×#121	—	2	4	no	—
142	C₁₃×#121	D₄	1	2	yes	—
143	C₁₃×#121	C₂³	1	2	yes	—
144	C₁₃×#120	—	2	1	no	—
145	C₁₃×#120	D₄	1	2	yes	—
146	C₄×Q₈×C₁₃	—	2	2	no	—
147	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
148	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
149	C₄×D₄×C₁₃	—	2	4	no	—
150	C₄×D₄×C₁₃	—	2	4	no	—
151	C₄×D₄×C₁₃	—	2	2	no	—
152	C₄×D₄×C₁₃	—	2	4	no	—
153	C₄×D₄×C₁₃	C₂³	1	4	yes	—
154	C₁₃×#117	—	2	2	no	—
155	C₁₃×#117	—	2	4	no	—
156	C₁₃×#117	C₂³	1	2	yes	—
157	C₁₃×#117	C₂³	1	1	yes	characteristic
158	C₁₃×#117	C₂³	1	1	yes	characteristic
159	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
160	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
161	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
162	C₁₃×#107	C₂³	1	4	yes	—
163	C₁₃×#106	C₂³	1	4	yes	—
164	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
165	C₁₃×#103	C₂³	1	4	yes	—
166	C₁₃×#103	C₂³	1	4	yes	—
167	C₁₃×#103	C₂³	1	4	yes	—
168	C₁₃×#103	C₂³	1	4	yes	—
169	C₁₃×#103	C₂³	1	4	yes	—
170	C₁₃×#103	C₂³	1	4	yes	—
171	C₁₃×#103	C₂³	1	4	yes	—
172	C₁₃×#102	C₂³	1	4	yes	—
173	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
174	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
175	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
176	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
177	C₁₃×#97	C₂³	1	2	yes	—
178	C₄×C₈×C₁₃	C₂³	1	2	yes	—
179	#61634	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
180	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
181	C₁₃×#41	—	2	4	no	—
182	C₁₃×#41	—	4	2	no	—
183	C₁₃×#41	—	4	2	no	—
184	C₁₃×#41	—	4	2	no	—
185	C₁₃×#41	—	4	8	no	—
186	C₁₃×#41	—	4	4	no	—
187	C₂×Q₈×C₁₃	—	2	4	no	—
188	C₂×Q₈×C₁₃	—	2	1	no	—
189	C₂×Q₈×C₁₃	—	2	4	no	—
190	C₂×Q₈×C₁₃	—	2	1	no	—
191	C₂×Q₈×C₁₃	—	2	2	no	—
192	C₂×Q₈×C₁₃	—	2	2	no	—
193	C₂×Q₈×C₁₃	—	2	2	no	—
194	C₂×Q₈×C₁₃	—	2	8	no	—
195	C₂×Q₈×C₁₃	—	2	4	no	—
196	C₂×Q₈×C₁₃	—	4	4	no	—
197	C₂×Q₈×C₁₃	—	4	2	no	—
198	C₂×Q₈×C₁₃	—	4	2	no	—
199	C₂×Q₈×C₁₃	—	4	4	no	—
200	C₂×Q₈×C₁₃	—	4	4	no	—
201	C₂×Q₈×C₁₃	—	4	2	no	—
202	C₂×Q₈×C₁₃	—	4	2	no	—
203	C₂×Q₈×C₁₃	—	4	8	no	—
204	C₂×Q₈×C₁₃	—	4	4	no	—
205	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
206	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
207	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
208	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
209	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
210	C₂×D₄×C₁₃	—	2	2	no	—
211	C₂×D₄×C₁₃	—	2	1	no	—
212	C₂×D₄×C₁₃	—	2	2	no	—
213	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
214	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
215	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
216	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
217	C₂²×C₄×C₁₃	—	2	1	no	—
218	C₂²×C₄×C₁₃	—	2	2	no	—
219	C₂²×C₄×C₁₃	—	2	4	no	—
220	C₂²×C₄×C₁₃	—	2	2	no	—
221	C₂²×C₄×C₁₃	—	2	1	no	—
222	C₂²×C₄×C₁₃	—	2	2	no	—
223	C₂²×C₄×C₁₃	—	2	2	no	—
224	C₂²×C₄×C₁₃	—	2	2	no	—
225	C₂²×C₄×C₁₃	—	2	1	no	—
226	C₂²×C₄×C₁₃	—	4	2	no	—
227	C₂²×C₄×C₁₃	—	4	4	no	—
228	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
229	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
230	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
231	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
232	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
233	C₁₃×Q₁₆	—	2	8	no	—
234	C₁₃×Q₁₆	—	2	8	no	—
235	C₁₃×Q₁₆	—	4	4	no	—
236	C₁₃×Q₁₆	—	4	4	no	—
237	C₁₃×Q₁₆	—	4	4	no	—
238	C₁₃×SD₁₆	—	4	4	no	—
239	C₁₃×M₁₆	—	4	2	no	—
240	C₂×C₈×C₁₃	—	4	2	no	—
241	C₂×C₈×C₁₃	—	4	4	no	—
242	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
243	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
244	C₁₃×C₄⋊C₄	—	2	4	no	—
245	C₁₃×C₄⋊C₄	—	2	4	no	—
246	C₁₃×C₄⋊C₄	—	2	2	no	—
247	C₁₃×C₄⋊C₄	—	2	4	no	—
248	C₁₃×C₄⋊C₄	—	2	4	no	—
249	C₁₃×C₄⋊C₄	—	2	4	no	—
250	C₁₃×C₄⋊C₄	—	2	4	no	—
251	C₁₃×C₄⋊C₄	—	2	4	no	—
252	C₁₃×C₄⋊C₄	—	2	2	no	—
253	C₁₃×C₄⋊C₄	—	2	4	no	—
254	C₁₃×C₄⋊C₄	—	2	4	no	—
255	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
256	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
257	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
258	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
259	C₁₃×C₂²⋊C₄	—	2	4	no	—
260	C₁₃×C₂²⋊C₄	—	2	4	no	—
261	C₁₃×C₂²⋊C₄	—	2	1	no	—
262	C₁₃×C₂²⋊C₄	—	2	2	no	—
263	C₁₃×C₂²⋊C₄	—	2	2	no	—
264	C₁₃×C₂²⋊C₄	—	2	4	no	—
265	C₁₃×C₂²⋊C₄	—	2	4	no	—
266	C₁₃×C₂²⋊C₄	—	2	4	no	—
267	C₁₃×C₂²⋊C₄	—	2	2	no	—
268	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
269	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
270	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
271	C₄²×C₁₃	—	2	2	no	—
272	C₄²×C₁₃	—	2	4	no	—
273	C₄²×C₁₃	—	2	4	no	—
274	C₄²×C₁₃	—	2	1	no	—
275	C₄²×C₁₃	C₂⁴	1	2	yes	—
276	#3538	C₂×C₁₃	1	1	yes	characteristic, complemented
277	#3486	C₂×C₁₃	1	1	yes	characteristic
278	#3312	C₂×C₁₃	1	4	yes	complemented
279	#3300	C₂×C₁₃	1	4	yes	complemented
280	D₄×Q₁₆	C₂×C₁₃	1	4	yes	complemented
281	#3270	C₂×C₁₃	1	4	yes	complemented
282	#3223	C₂×C₁₃	1	2	yes	complemented
283	#3202	C₂×C₁₃	1	2	yes	complemented
284	#3190	C₂×C₁₃	1	2	yes	complemented
285	#3127	C₂×C₁₃	1	2	yes	complemented
286	#3011	C₂×C₁₃	1	2	yes	complemented
287	C₂×#451	C₂×C₁₃	1	2	yes	complemented
288	#2977	C₂×C₁₃	1	1	yes	characteristic, complemented
289	C₂³×C₁₃	—	2	4	no	—
290	C₂³×C₁₃	—	2	1	no	—
291	C₂³×C₁₃	—	4	1	no	—
292	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
293	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
294	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
295	Q₈×C₁₃	—	2	4	no	—
296	Q₈×C₁₃	—	2	2	no	—
297	Q₈×C₁₃	—	2	4	no	—
298	Q₈×C₁₃	—	2	4	no	—
299	Q₈×C₁₃	—	2	4	no	—
300	Q₈×C₁₃	—	2	2	no	—
301	Q₈×C₁₃	—	4	1	no	—
302	Q₈×C₁₃	—	4	8	no	—
303	Q₈×C₁₃	—	4	4	no	—
304	Q₈×C₁₃	—	4	2	no	—
305	Q₈×C₁₃	—	8	2	no	—
306	Q₈×C₁₃	—	8	2	no	—
307	Q₈×C₁₃	H(5,𝔽₂)	1	4	yes	—
308	D₄×C₁₃	—	2	8	no	—
309	D₄×C₁₃	—	2	2	no	—
310	D₄×C₁₃	—	4	1	no	—
311	D₄×C₁₃	—	4	2	no	—
312	D₄×C₁₃	—	4	4	no	—
313	D₄×C₁₃	—	4	2	no	—
314	D₄×C₁₃	—	4	4	no	—
315	C₂×C₄×C₁₃	—	2	4	no	—
316	C₂×C₄×C₁₃	—	2	2	no	—
317	C₂×C₄×C₁₃	—	2	4	no	—
318	C₂×C₄×C₁₃	—	2	2	no	—
319	C₂×C₄×C₁₃	—	2	2	no	—
320	C₂×C₄×C₁₃	—	2	2	no	—
321	C₂×C₄×C₁₃	—	2	2	no	—
322	C₂×C₄×C₁₃	—	2	4	no	—
323	C₂×C₄×C₁₃	—	2	4	no	—
324	C₂×C₄×C₁₃	—	2	2	no	—
325	C₂×C₄×C₁₃	—	2	1	no	—
326	C₂×C₄×C₁₃	—	4	2	no	—
327	C₂×C₄×C₁₃	—	4	1	no	—
328	C₂×C₄×C₁₃	—	4	4	no	—
329	C₂×C₄×C₁₃	—	4	8	no	—
330	C₂×C₄×C₁₃	—	4	4	no	—
331	C₂×C₄×C₁₃	—	4	2	no	—
332	C₂×C₄×C₁₃	—	4	2	no	—
333	C₂×C₄×C₁₃	—	4	4	no	—
334	C₂×C₄×C₁₃	—	8	2	no	—
335	C₂×C₄×C₁₃	—	8	2	no	—
336	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
337	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
338	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
339	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
340	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
341	C₈×C₁₃	—	2	4	no	—
342	C₈×C₁₃	—	2	4	no	—
343	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
344	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic
345	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
346	C₂²×Q₁₆	C₂²×C₁₃	1	4	yes	—
347	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
348	#563	—	2	2	no	—
349	#552	C₂²×C₁₃	1	4	yes	—
350	#551	—	2	2	no	—
351	D₄×Q₈	—	2	2	no	—
352	D₄×Q₈	C₂²×C₁₃	1	4	yes	—
353	D₄×Q₈	C₂²×C₁₃	1	4	yes	—
354	#548	—	2	2	no	—
355	#548	C₂²×C₁₃	1	4	yes	—
356	#544	—	2	2	no	—
357	#541	C₂²×C₁₃	1	2	yes	—
358	#539	—	2	2	no	—
359	#536	—	2	2	no	—
360	#536	C₂²×C₁₃	1	1	yes	characteristic
361	#536	C₂²×C₁₃	1	1	yes	characteristic
362	#536	C₂²×C₁₃	1	2	yes	—
363	#525	—	2	2	no	—
364	#525	C₂²×C₁₃	1	1	yes	characteristic
365	#525	C₂²×C₁₃	1	1	yes	characteristic
366	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
367	#519	C₂²×C₁₃	1	1	yes	characteristic
368	#497	C₂²×C₁₃	1	2	yes	complemented
369	#494	C₂²×C₁₃	1	2	yes	complemented
370	#491	C₂²×C₁₃	1	2	yes	complemented
371	#488	C₂²×C₁₃	1	2	yes	complemented
372	#485	C₂²×C₁₃	1	4	yes	—
373	#485	C₂²×C₁₃	1	4	yes	complemented
374	#483	C₂²×C₁₃	1	2	yes	—
375	#480	C₂²×C₁₃	1	2	yes	—
376	#479	C₂²×C₁₃	1	4	yes	complemented
377	#470	C₂²×C₁₃	1	4	yes	complemented
378	#467	C₂²×C₁₃	1	4	yes	—
379	#467	C₂²×C₁₃	1	4	yes	complemented
380	#465	C₂²×C₁₃	1	4	yes	—
381	#464	C₂²×C₁₃	1	4	yes	complemented
382	#462	C₂²×C₁₃	1	4	yes	complemented
383	#462	C₂²×C₁₃	1	4	yes	complemented
384	#452	C₂²×C₁₃	1	4	yes	—
385	#452	C₂²×C₁₃	1	4	yes	complemented
386	#451	C₂²×C₁₃	1	4	yes	—
387	#451	C₂²×C₁₃	1	2	yes	—
388	#451	C₂²×C₁₃	1	4	yes	—
389	#451	C₂²×C₁₃	1	4	yes	—
390	#451	C₂²×C₁₃	1	4	yes	—
391	#451	C₂²×C₁₃	1	4	yes	complemented
392	#451	C₂²×C₁₃	1	4	yes	complemented
393	#448	C₂²×C₁₃	1	2	yes	—
394	#441	C₂²×C₁₃	1	4	yes	complemented
395	C₄×Q₁₆	C₂²×C₁₃	1	4	yes	complemented
396	#435	C₂²×C₁₃	1	4	yes	—
397	C₈×D₄	C₂²×C₁₃	1	4	yes	—
398	#433	C₂²×C₁₃	1	2	yes	—
399	#419	C₂²×C₁₃	1	2	yes	complemented
400	#416	C₂²×C₁₃	1	2	yes	complemented
401	C₂×#103	C₂²×C₁₃	1	4	yes	—
402	#408	C₂²×C₁₃	1	2	yes	—
403	C₂×C₂²⋊C₈	C₂²×C₁₃	1	2	yes	—
404	C₂²×C₁₃	—	2	2	no	—
405	C₂²×C₁₃	—	2	2	no	—
406	C₂²×C₁₃	—	2	1	no	—
407	C₂²×C₁₃	—	2	2	no	—
408	C₂²×C₁₃	—	2	4	no	—
409	C₂²×C₁₃	—	2	2	no	—
410	C₂²×C₁₃	—	4	4	no	—
411	C₂²×C₁₃	—	4	1	no	—
412	C₂²×C₁₃	—	4	2	no	—
413	C₂²×C₁₃	#578	1	4	yes	—
414	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
415	C₄×C₁₃	—	2	4	no	—
416	C₄×C₁₃	—	2	1	no	—
417	C₄×C₁₃	—	2	2	no	—
418	C₄×C₁₃	—	2	2	no	—
419	C₄×C₁₃	—	2	4	no	—
420	C₄×C₁₃	—	4	1	no	—
421	C₄×C₁₃	—	4	2	no	—
422	C₄×C₁₃	—	4	4	no	—
423	C₄×C₁₃	—	4	4	no	—
424	C₄×C₁₃	—	4	2	no	—
425	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
426	2₋¹⁺⁴	—	4	4	no	—
427	C₂×#41	—	2	2	no	—
428	C₂×#41	—	2	1	no	—
429	C₂×#41	C₂³×C₁₃	1	2	yes	—
430	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
431	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
432	C₂²×Q₈	—	2	1	no	—
433	C₂²×Q₈	—	2	1	no	—
434	C₂²×Q₈	—	2	2	no	—
435	C₂²×Q₈	—	4	4	no	—
436	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
437	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
438	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
439	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
440	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
441	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
442	C₂³×C₄	—	2	1	no	—
443	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
444	#137	—	4	4	no	—
445	C₂×Q₁₆	—	4	8	no	—
446	C₂×Q₁₆	—	4	4	no	—
447	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
448	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
449	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
450	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
451	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
452	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
453	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
454	C₂²×C₈	C₂³×C₁₃	1	4	yes	—
455	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
456	C₄⋊Q₈	—	2	2	no	—
457	C₄⋊Q₈	—	2	1	no	—
458	C₄⋊Q₈	—	2	4	no	—
459	C₄⋊Q₈	—	2	4	no	—
460	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
461	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
462	#126	—	2	4	no	—
463	#126	—	2	4	no	—
464	#125	—	2	4	no	—
465	#125	—	2	4	no	—
466	#125	C₂³×C₁₃	1	2	yes	—
467	#124	—	2	1	no	—
468	#124	—	2	2	no	—
469	#124	—	2	4	no	—
470	#124	C₂³×C₁₃	1	2	yes	—
471	#123	—	2	2	no	—
472	#123	—	2	2	no	—
473	#123	—	2	2	no	—
474	#123	—	2	4	no	—
475	#123	—	2	1	no	—
476	#123	—	2	2	no	—
477	#123	D₄×C₁₃	1	2	yes	—
478	C₂²⋊Q₈	—	2	2	no	—
479	C₂²⋊Q₈	—	2	2	no	—
480	C₂²⋊Q₈	—	2	4	no	—
481	C₂²⋊Q₈	—	2	2	no	—
482	C₂²⋊Q₈	—	2	4	no	—
483	C₂²⋊Q₈	—	2	4	no	—
484	C₂²⋊Q₈	—	2	4	no	—
485	C₂²⋊Q₈	—	2	4	no	—
486	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
487	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
488	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
489	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
490	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
491	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
492	#121	—	2	4	no	—
493	#121	D₄×C₁₃	1	2	yes	—
494	#121	C₂³×C₁₃	1	2	yes	—
495	#120	—	2	1	no	—
496	#120	D₄×C₁₃	1	2	yes	—
497	C₄×Q₈	—	2	2	no	—
498	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
499	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
500	C₄×D₄	—	2	4	no	—
501	C₄×D₄	—	2	4	no	—
502	C₄×D₄	—	2	2	no	—
503	C₄×D₄	—	2	4	no	—
504	C₄×D₄	C₂³×C₁₃	1	4	yes	—
505	#117	—	2	2	no	—
506	#117	—	2	4	no	—
507	#117	C₂³×C₁₃	1	1	yes	characteristic
508	#117	C₂³×C₁₃	1	2	yes	—
509	#117	C₂³×C₁₃	1	1	yes	characteristic
510	C₂×C₄⋊C₄	—	2	2	no	—
511	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
512	C₂×C₂²⋊C₄	—	2	2	no	—
513	#107	C₂³×C₁₃	1	4	yes	—
514	#106	C₂³×C₁₃	1	4	yes	—
515	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
516	#103	C₂³×C₁₃	1	4	yes	—
517	#103	C₂³×C₁₃	1	4	yes	—
518	#103	C₂³×C₁₃	1	4	yes	—
519	#103	C₂³×C₁₃	1	4	yes	—
520	#103	C₂³×C₁₃	1	4	yes	—
521	#103	C₂³×C₁₃	1	4	yes	—
522	#103	C₂³×C₁₃	1	4	yes	—
523	#102	C₂³×C₁₃	1	4	yes	—
524	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
525	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
526	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
527	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
528	#97	C₂³×C₁₃	1	2	yes	—
529	C₄×C₈	C₂³×C₁₃	1	2	yes	—
530	C₂×C₁₃	—	2	4	no	—
531	C₂×C₁₃	—	4	2	no	—
532	C₂×C₁₃	—	4	1	no	—
533	C₂×C₁₃	—	8	1	no	—
534	C₂×C₁₃	#3484	1	1	yes	characteristic
535	C₂×C₁₃	C₂×#578	1	2	yes	—
536	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
537	#41	—	2	4	no	—
538	#41	—	4	2	no	—
539	#41	—	4	2	no	—
540	#41	—	4	2	no	—
541	#41	—	4	8	no	—
542	#41	—	4	4	no	—
543	C₂×Q₈	—	2	4	no	—
544	C₂×Q₈	—	2	1	no	—
545	C₂×Q₈	—	2	4	no	—
546	C₂×Q₈	—	2	1	no	—
547	C₂×Q₈	—	2	2	no	—
548	C₂×Q₈	—	2	2	no	—
549	C₂×Q₈	—	2	2	no	—
550	C₂×Q₈	—	2	8	no	—
551	C₂×Q₈	—	2	4	no	—
552	C₂×Q₈	—	4	4	no	—
553	C₂×Q₈	—	4	2	no	—
554	C₂×Q₈	—	4	2	no	—
555	C₂×Q₈	—	4	4	no	—
556	C₂×Q₈	—	4	4	no	—
557	C₂×Q₈	—	4	2	no	—
558	C₂×Q₈	—	4	2	no	—
559	C₂×Q₈	—	4	8	no	—
560	C₂×Q₈	—	4	4	no	—
561	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
562	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
563	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
564	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
565	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
566	C₂×D₄	—	2	2	no	—
567	C₂×D₄	—	2	1	no	—
568	C₂×D₄	—	2	2	no	—
569	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
570	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
571	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
572	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
573	C₂²×C₄	—	2	1	no	—
574	C₂²×C₄	—	2	2	no	—
575	C₂²×C₄	—	2	4	no	—
576	C₂²×C₄	—	2	2	no	—
577	C₂²×C₄	—	2	1	no	—
578	C₂²×C₄	—	2	2	no	—
579	C₂²×C₄	—	2	2	no	—
580	C₂²×C₄	—	2	2	no	—
581	C₂²×C₄	—	2	1	no	—
582	C₂²×C₄	—	4	2	no	—
583	C₂²×C₄	—	4	4	no	—
584	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
585	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
586	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
587	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
588	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
589	Q₁₆	—	2	8	no	—
590	Q₁₆	—	2	8	no	—
591	Q₁₆	—	4	4	no	—
592	Q₁₆	—	4	4	no	—
593	Q₁₆	—	4	4	no	—
594	SD₁₆	—	4	4	no	—
595	M₁₆	—	4	2	no	—
596	C₂×C₈	—	4	2	no	—
597	C₂×C₈	—	4	4	no	—
598	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
599	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
600	C₄⋊C₄	—	2	4	no	—
601	C₄⋊C₄	—	2	4	no	—
602	C₄⋊C₄	—	2	2	no	—
603	C₄⋊C₄	—	2	4	no	—
604	C₄⋊C₄	—	2	4	no	—
605	C₄⋊C₄	—	2	4	no	—
606	C₄⋊C₄	—	2	4	no	—
607	C₄⋊C₄	—	2	4	no	—
608	C₄⋊C₄	—	2	2	no	—
609	C₄⋊C₄	—	2	4	no	—
610	C₄⋊C₄	—	2	4	no	—
611	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
612	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
613	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
614	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
615	C₂²⋊C₄	—	2	4	no	—
616	C₂²⋊C₄	—	2	4	no	—
617	C₂²⋊C₄	—	2	1	no	—
618	C₂²⋊C₄	—	2	2	no	—
619	C₂²⋊C₄	—	2	2	no	—
620	C₂²⋊C₄	—	2	4	no	—
621	C₂²⋊C₄	—	2	4	no	—
622	C₂²⋊C₄	—	2	4	no	—
623	C₂²⋊C₄	—	2	2	no	—
624	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
625	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
626	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
627	C₄²	—	2	2	no	—
628	C₄²	—	2	4	no	—
629	C₄²	—	2	4	no	—
630	C₄²	—	2	1	no	—
631	C₄²	C₂⁴×C₁₃	1	2	yes	—
632	C₁₃	#61634	1	1	yes	characteristic, direct product factor, Sylow
633	C₂³	—	2	4	no	—
634	C₂³	—	2	1	no	—
635	C₂³	—	4	1	no	—
636	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
637	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
638	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
639	Q₈	—	2	4	no	—
640	Q₈	—	2	2	no	—
641	Q₈	—	2	4	no	—
642	Q₈	—	2	4	no	—
643	Q₈	—	2	4	no	—
644	Q₈	—	2	2	no	—
645	Q₈	—	4	1	no	—
646	Q₈	—	4	8	no	—
647	Q₈	—	4	4	no	—
648	Q₈	—	4	2	no	—
649	Q₈	—	8	2	no	—
650	Q₈	—	8	2	no	—
651	Q₈	C₁₃×H(5,𝔽₂)	1	4	yes	—
652	D₄	—	2	8	no	—
653	D₄	—	2	2	no	—
654	D₄	—	4	1	no	—
655	D₄	—	4	2	no	—
656	D₄	—	4	4	no	—
657	D₄	—	4	2	no	—
658	D₄	—	4	4	no	—
659	C₂×C₄	—	2	4	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	2	4	no	—
662	C₂×C₄	—	2	2	no	—
663	C₂×C₄	—	2	2	no	—
664	C₂×C₄	—	2	2	no	—
665	C₂×C₄	—	2	2	no	—
666	C₂×C₄	—	2	4	no	—
667	C₂×C₄	—	2	4	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	1	no	—
670	C₂×C₄	—	4	2	no	—
671	C₂×C₄	—	4	1	no	—
672	C₂×C₄	—	4	4	no	—
673	C₂×C₄	—	4	8	no	—
674	C₂×C₄	—	4	4	no	—
675	C₂×C₄	—	4	2	no	—
676	C₂×C₄	—	4	2	no	—
677	C₂×C₄	—	4	4	no	—
678	C₂×C₄	—	8	2	no	—
679	C₂×C₄	—	8	2	no	—
680	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
681	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
682	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
683	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
684	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
685	C₈	—	2	4	no	—
686	C₈	—	2	4	no	—
687	C₂²	—	2	2	no	—
688	C₂²	—	2	2	no	—
689	C₂²	—	2	4	no	—
690	C₂²	—	2	2	no	—
691	C₂²	—	2	1	no	—
692	C₂²	—	2	2	no	—
693	C₂²	—	4	4	no	—
694	C₂²	—	4	2	no	—
695	C₂²	—	4	1	no	—
696	C₂²	C₁₃×#578	1	4	yes	—
697	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
698	C₄	—	2	4	no	—
699	C₄	—	2	4	no	—
700	C₄	—	2	1	no	—
701	C₄	—	2	2	no	—
702	C₄	—	2	2	no	—
703	C₄	—	4	4	no	—
704	C₄	—	4	2	no	—
705	C₄	—	4	1	no	—
706	C₄	—	4	2	no	—
707	C₄	—	4	4	no	—
708	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
709	C₂	—	2	4	no	—
710	C₂	—	4	1	no	—
711	C₂	—	4	2	no	—
712	C₂	—	8	1	no	—
713	C₂	C₁₃×#3484	1	1	yes	characteristic
714	C₂	C₂×C₁₃×#578	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3486	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3538	C₂	semidirect
3. C₁₃×#3312	C₂	semidirect
4. C₁₃×#3300	C₂	semidirect
5. D₄×C₁₃×Q₁₆	C₂	semidirect
6. C₁₃×#3270	C₂	semidirect
7. C₁₃×#3223	C₂	semidirect
8. C₁₃×#3202	C₂	semidirect
9. C₁₃×#3190	C₂	semidirect
10. C₁₃×#3127	C₂	semidirect
11. C₁₃×#3011	C₂	semidirect
12. C₂×C₁₃×#451	C₂	semidirect
13. C₁₃×#2977	C₂	semidirect
16. C₂×C₁₃×#137	C₂²	semidirect
18. C₂²×C₁₃×Q₁₆	C₂²	semidirect
39. C₁₃×#497	C₂²	semidirect
40. C₁₃×#494	C₂²	semidirect
41. C₁₃×#491	C₂²	semidirect
42. C₁₃×#488	C₂²	semidirect
44. C₁₃×#485	C₂²	semidirect
47. C₁₃×#479	C₂²	semidirect
48. C₁₃×#470	C₂²	semidirect
50. C₁₃×#467	C₂²	semidirect
52. C₁₃×#464	C₂²	semidirect
53. C₁₃×#462	C₂²	semidirect
54. C₁₃×#462	C₂²	semidirect
56. C₁₃×#452	C₂²	semidirect
62. C₁₃×#451	C₂²	semidirect
63. C₁₃×#451	C₂²	semidirect
65. C₁₃×#441	C₂²	semidirect
66. C₄×C₁₃×Q₁₆	C₂²	semidirect
70. C₁₃×#419	C₂²	semidirect
71. C₁₃×#416	C₂²	semidirect
179. #61634	C₁₃	direct (N × H)
276. #3538	C₂×C₁₃	semidirect
278. #3312	C₂×C₁₃	semidirect
279. #3300	C₂×C₁₃	semidirect
280. D₄×Q₁₆	C₂×C₁₃	semidirect
281. #3270	C₂×C₁₃	semidirect
282. #3223	C₂×C₁₃	semidirect
283. #3202	C₂×C₁₃	semidirect
284. #3190	C₂×C₁₃	semidirect
285. #3127	C₂×C₁₃	semidirect
286. #3011	C₂×C₁₃	semidirect
287. C₂×#451	C₂×C₁₃	semidirect
288. #2977	C₂×C₁₃	semidirect
345. C₂×#137	C₂²×C₁₃	semidirect
347. C₂²×Q₁₆	C₂²×C₁₃	semidirect
368. #497	C₂²×C₁₃	semidirect
369. #494	C₂²×C₁₃	semidirect
370. #491	C₂²×C₁₃	semidirect
371. #488	C₂²×C₁₃	semidirect
373. #485	C₂²×C₁₃	semidirect
376. #479	C₂²×C₁₃	semidirect
377. #470	C₂²×C₁₃	semidirect
379. #467	C₂²×C₁₃	semidirect
381. #464	C₂²×C₁₃	semidirect
382. #462	C₂²×C₁₃	semidirect
383. #462	C₂²×C₁₃	semidirect
385. #452	C₂²×C₁₃	semidirect
391. #451	C₂²×C₁₃	semidirect
392. #451	C₂²×C₁₃	semidirect
394. #441	C₂²×C₁₃	semidirect
395. C₄×Q₁₆	C₂²×C₁₃	semidirect
399. #419	C₂²×C₁₃	semidirect
400. #416	C₂²×C₁₃	semidirect
632. C₁₃	#61634	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3538	2
C₁₃×#3486	2
C₁₃×#3312	2
C₁₃×#3300	2
D₄×C₁₃×Q₁₆	2
C₁₃×#3270	2
C₁₃×#3223	2
C₁₃×#3202	2
C₁₃×#3190	2
C₁₃×#3127	2
C₁₃×#3011	2
C₂×C₁₃×#451	2
C₁₃×#2977	2
#61634	13

Subgroups — C13×#61634 #15747973

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61634 #15747973