Subgroups — D₂₃×#553 #15686912

Order 2944.

1252 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13093120	C₂	1	1	yes	maximal, characteristic, complemented
2	#13093119	C₂	1	1	yes	maximal, characteristic, complemented
3	#13093118	C₂	1	2	yes	maximal, complemented
4	#13093117	C₂	1	1	yes	maximal, characteristic, complemented
5	#13093116	C₂	1	2	yes	maximal, complemented
6	#13093115	C₂	1	1	yes	maximal, characteristic, complemented
7	#13093114	C₂	1	1	yes	maximal, characteristic, complemented
8	#13093113	C₂	1	1	yes	maximal, characteristic, complemented
9	#13093112	C₂	1	2	yes	maximal, complemented
10	#13093111	C₂	1	1	yes	maximal, characteristic, complemented
11	#13093110	C₂	1	2	yes	maximal, complemented
12	#126×D₂₃	C₂	1	2	yes	maximal, complemented
13	#125×D₂₃	C₂	1	1	yes	maximal, characteristic, complemented
14	#123×D₂₃	C₂	1	2	yes	maximal, complemented
15	#121×D₂₃	C₂	1	2	yes	maximal, complemented
16	#121×D₂₃	C₂	1	1	yes	maximal, characteristic, complemented
17	#121×D₂₃	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×D₄×D₂₃	C₂	1	2	yes	maximal, complemented
19	C₄×D₄×D₂₃	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×D₄×D₂₃	C₂	1	1	yes	maximal, characteristic, complemented
21	#117×D₂₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₄⋊C₄×D₂₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×D₄×D₂₃	C₂²	1	2	yes	—
25	C₂×D₄×D₂₃	C₂²	1	1	yes	characteristic
26	C₂×D₄×D₂₃	C₂²	1	1	yes	characteristic
27	C₂×D₄×D₂₃	C₂²	1	2	yes	—
28	C₂²×C₄×D₂₃	C₂²	1	1	yes	characteristic
29	C₂²×C₄×D₂₃	C₂²	1	1	yes	characteristic
30	C₂²×C₄×D₂₃	C₂²	1	2	yes	—
31	C₂²×C₄×D₂₃	C₂²	1	2	yes	—
32	C₂₃×#126	C₂²	1	2	yes	complemented
33	C₂₃×#125	C₂²	1	1	yes	characteristic, complemented
34	C₂₃×#123	C₂²	1	2	yes	complemented
35	C₂₃×#121	C₂²	1	2	yes	complemented
36	C₂₃×#121	C₂²	1	1	yes	characteristic, complemented
37	C₂₃×#121	C₂²	1	1	yes	characteristic, complemented
38	C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
39	C₄×D₄×C₂₃	C₂²	1	2	yes	complemented
40	C₄×D₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
41	C₂₃×#117	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic, complemented
43	#10625110	C₂²	1	2	yes	complemented
44	#10625110	C₂²	1	2	yes	complemented
45	#10625110	C₂²	1	2	yes	complemented
46	#10625110	C₂²	1	2	yes	complemented
47	#10625109	C₂²	1	2	yes	complemented
48	#10625109	C₂²	1	1	yes	characteristic, complemented
49	#10625109	C₂²	1	1	yes	characteristic, complemented
50	#10625106	C₂²	1	2	yes	complemented
51	D₄×Dic₂₃	C₂²	1	1	yes	characteristic, complemented
52	D₄×Dic₂₃	C₂²	1	2	yes	complemented
53	D₄×Dic₂₃	C₂²	1	1	yes	characteristic, complemented
54	#10625101	C₂²	1	1	yes	characteristic, complemented
55	#10625101	C₂²	1	1	yes	characteristic, complemented
56	#10625101	C₂²	1	2	yes	complemented
57	#10625100	C₂²	1	2	yes	complemented
58	C₄×C₂²⋊D₂₃	C₂²	1	2	yes	complemented
59	C₄×C₂²⋊D₂₃	C₂²	1	1	yes	characteristic, complemented
60	C₄×C₂²⋊D₂₃	C₂²	1	2	yes	complemented
61	C₄×C₂²⋊D₂₃	C₂²	1	2	yes	complemented
62	C₄×C₂²⋊D₂₃	C₂²	1	1	yes	characteristic, complemented
63	#10625097	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₄⋊Dic₂₃	C₂²	1	1	yes	characteristic, complemented
65	C₂×Dic₂₃⋊C₄	C₂²	1	2	yes	complemented
66	#10625069	C₂²	1	2	yes	complemented
67	#10625069	C₂²	1	2	yes	complemented
68	#10625069	C₂²	1	2	yes	complemented
69	#10625066	C₂²	1	1	yes	characteristic, complemented
70	#10625066	C₂²	1	1	yes	characteristic, complemented
71	#10625066	C₂²	1	2	yes	complemented
72	#10625065	C₂²	1	2	yes	complemented
73	#10625065	C₂²	1	2	yes	complemented
74	#10625064	C₂²	1	2	yes	complemented
75	#10625064	C₂²	1	1	yes	characteristic, complemented
76	#10625064	C₂²	1	1	yes	characteristic, complemented
77	#10625063	C₂²	1	1	yes	characteristic, complemented
78	#10625063	C₂²	1	1	yes	characteristic, complemented
79	C₄⋊C₄×D₂₃	C₂²	1	1	yes	characteristic
80	C₄⋊C₄×D₂₃	C₂²	1	1	yes	characteristic
81	C₄⋊C₄×D₂₃	C₂²	1	2	yes	—
82	C₄⋊C₄×D₂₃	C₂²	1	1	yes	characteristic
83	C₄⋊C₄×D₂₃	C₂²	1	2	yes	—
84	C₄⋊C₄×D₂₃	C₂²	1	1	yes	characteristic
85	C₄⋊C₄×D₂₃	C₂²	1	2	yes	—
86	C₄⋊C₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
87	C₄⋊C₄×D₂₃	C₂²	1	1	yes	characteristic, complemented
88	C₄⋊C₄×D₂₃	C₂²	1	2	yes	complemented
89	#10625061	C₂²	1	1	yes	characteristic, complemented
90	#10625061	C₂²	1	1	yes	characteristic, complemented
91	#10625060	C₂²	1	2	yes	complemented
92	#10625060	C₂²	1	2	yes	complemented
93	#10625057	C₂²	1	2	yes	complemented
94	#10625055	C₂²	1	2	yes	complemented
95	#10625055	C₂²	1	2	yes	complemented
96	#10625055	C₂²	1	2	yes	complemented
97	#10625055	C₂²	1	2	yes	complemented
98	#10625054	C₂²	1	2	yes	complemented
99	#10625054	C₂²	1	2	yes	complemented
100	(C₂²⋊D₂₃)⋊C₄	C₂²	1	2	yes	complemented
101	(C₂²⋊D₂₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
102	(C₂²⋊D₂₃)⋊C₄	C₂²	1	2	yes	complemented
103	(C₂²⋊D₂₃)⋊C₄	C₂²	1	2	yes	complemented
104	(C₂²⋊D₂₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
105	C₂²⋊C₄×D₂₃	C₂²	1	2	yes	—
106	C₂²⋊C₄×D₂₃	C₂²	1	1	yes	characteristic
107	C₂²⋊C₄×D₂₃	C₂²	1	2	yes	—
108	C₂²⋊C₄×D₂₃	C₂²	1	2	yes	—
109	C₂²⋊C₄×D₂₃	C₂²	1	1	yes	characteristic
110	C₂²⋊C₄×D₂₃	C₂²	1	2	yes	—
111	#10625050	C₂²	1	2	yes	complemented
112	#10625050	C₂²	1	2	yes	complemented
113	#10625050	C₂²	1	2	yes	complemented
114	#10625048	C₂²	1	2	yes	complemented
115	#10625047	C₂²	1	2	yes	complemented
116	C₄×D₉₂	C₂²	1	1	yes	characteristic, complemented
117	C₄×D₉₂	C₂²	1	1	yes	characteristic, complemented
118	C₄×D₉₂	C₂²	1	2	yes	complemented
119	#10625043	C₂²	1	2	yes	complemented
120	C₄²×D₂₃	C₂²	1	2	yes	—
121	C₄²×D₂₃	C₂²	1	1	yes	characteristic
122	#10625041	C₂²	1	1	yes	characteristic, complemented
123	C₂³×D₂₃	C₂³	1	1	yes	characteristic
124	C₂³×D₂₃	C₂³	1	2	yes	—
125	C₂³×D₂₃	C₂³	1	1	yes	characteristic
126	C₂×D₄×C₂₃	C₂³	1	1	yes	characteristic
127	C₂×D₄×C₂₃	C₂³	1	1	yes	characteristic
128	C₂×D₄×C₂₃	C₂³	1	2	yes	—
129	C₂×D₄×C₂₃	C₂³	1	2	yes	—
130	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic
131	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic
132	C₂²×C₄×C₂₃	C₂³	1	2	yes	—
133	C₂²×C₄×C₂₃	C₂³	1	2	yes	—
134	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
135	C₂×C₂²⋊D₂₃	C₂³	1	2	yes	—
136	C₂×C₂²⋊D₂₃	C₂³	1	2	yes	—
137	C₂×C₂²⋊D₂₃	C₂³	1	2	yes	—
138	C₂×C₂²⋊D₂₃	C₂³	1	1	yes	characteristic
139	C₂×C₂²⋊D₂₃	C₂³	1	2	yes	—
140	C₂×C₂²⋊D₂₃	C₂³	1	2	yes	—
141	C₂²×Dic₂₃	C₂³	1	1	yes	characteristic
142	C₂²×Dic₂₃	C₂³	1	1	yes	characteristic
143	C₂²×Dic₂₃	C₂³	1	2	yes	—
144	C₂²×Dic₂₃	C₂³	1	2	yes	—
145	D₄×D₂₃	—	2	8	no	—
146	D₄×D₂₃	—	2	4	no	—
147	D₄×D₂₃	—	2	4	no	—
148	D₄×D₂₃	—	4	4	no	—
149	C₂×D₉₂	C₂³	1	1	yes	characteristic
150	C₂×D₉₂	C₂³	1	2	yes	—
151	C₂×D₉₂	C₂³	1	1	yes	characteristic
152	C₂×D₉₂	C₂³	1	2	yes	—
153	C₂×C₄×D₂₃	—	2	4	no	—
154	C₂×C₄×D₂₃	—	2	4	no	—
155	C₂×C₄×D₂₃	—	4	4	no	—
156	C₂×C₄×D₂₃	—	4	4	no	—
157	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
158	C₂×C₄×D₂₃	C₂³	1	2	yes	—
159	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
160	C₂×C₄×D₂₃	C₂³	1	2	yes	—
161	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
162	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
163	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
164	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
165	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
166	C₂×C₄×D₂₃	C₂³	1	2	yes	—
167	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
168	C₂×C₄×D₂₃	C₂³	1	2	yes	—
169	C₂×C₄×D₂₃	C₂³	1	2	yes	—
170	C₂×C₄×D₂₃	C₂³	1	2	yes	—
171	C₂×C₄×D₂₃	C₂³	1	2	yes	—
172	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
173	C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
174	C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
175	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
176	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
177	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
178	C₄⋊C₄×C₂₃	C₂³	1	2	yes	—
179	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
180	C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
181	C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
182	C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
183	C₂²⋊C₄×C₂₃	C₂³	1	2	yes	—
184	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
185	C₂²⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
186	C₄²×C₂₃	C₂³	1	1	yes	characteristic
187	C₄²×C₂₃	C₂³	1	2	yes	—
188	C₂²⋊Dic₂₃	C₂³	1	2	yes	—
189	C₂²⋊Dic₂₃	C₂³	1	2	yes	—
190	C₂²⋊Dic₂₃	C₂³	1	2	yes	—
191	C₂²⋊Dic₂₃	C₂³	1	2	yes	—
192	C₂²⋊Dic₂₃	C₂³	1	1	yes	characteristic
193	C₂²⋊Dic₂₃	C₂³	1	1	yes	characteristic
194	(C₂×D₂₃)⋊C₄	C₂³	1	2	yes	—
195	(C₂×D₂₃)⋊C₄	C₂³	1	2	yes	—
196	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
197	(C₂×D₂₃)⋊C₄	C₂³	1	2	yes	—
198	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
199	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
200	(C₂×D₂₃)⋊C₄	C₂³	1	2	yes	—
201	(C₂×D₂₃)⋊C₄	C₂³	1	2	yes	—
202	(C₂×D₂₃)⋊C₄	C₂³	1	2	yes	—
203	(C₂×D₂₃)⋊C₄	C₂³	1	2	yes	—
204	(C₂×D₂₃)⋊C₄	C₂³	1	1	yes	characteristic
205	(C₂×D₂₃)⋊C₄	C₂³	1	2	yes	—
206	C₄⋊Dic₂₃	C₂³	1	1	yes	characteristic
207	C₄⋊Dic₂₃	C₂³	1	1	yes	characteristic
208	C₄⋊Dic₂₃	C₂³	1	1	yes	characteristic
209	C₄⋊Dic₂₃	C₂³	1	2	yes	—
210	C₄⋊Dic₂₃	C₂³	1	1	yes	characteristic
211	C₄⋊Dic₂₃	C₂³	1	2	yes	—
212	C₄⋊Dic₂₃	C₂³	1	2	yes	—
213	Dic₂₃⋊C₄	C₂³	1	2	yes	—
214	Dic₂₃⋊C₄	C₂³	1	2	yes	—
215	Dic₂₃⋊C₄	C₂³	1	2	yes	—
216	Dic₂₃⋊C₄	C₂³	1	2	yes	—
217	Dic₂₃⋊C₄	C₂³	1	1	yes	characteristic
218	Dic₂₃⋊C₄	C₂³	1	2	yes	—
219	Dic₂₃⋊C₄	C₂³	1	2	yes	—
220	Dic₂₃⋊C₄	C₂³	1	1	yes	characteristic
221	Dic₂₃⋊C₄	C₂³	1	2	yes	—
222	Dic₂₃⋊C₄	C₂³	1	2	yes	—
223	Dic₂₃⋊C₄	C₂³	1	2	yes	—
224	C₄×Dic₂₃	C₂³	1	2	yes	—
225	C₄×Dic₂₃	C₂³	1	2	yes	—
226	C₄×Dic₂₃	C₂³	1	2	yes	—
227	C₄×Dic₂₃	C₂³	1	1	yes	characteristic
228	C₄×Dic₂₃	C₂³	1	1	yes	characteristic
229	C₄×Dic₂₃	C₂³	1	1	yes	characteristic
230	C₂³×C₂₃	C₂⁴	1	1	yes	characteristic
231	C₂³×C₂₃	C₂⁴	1	2	yes	—
232	C₂³×C₂₃	C₂⁴	1	1	yes	characteristic
233	C₂²×D₂₃	—	2	2	no	—
234	C₂²×D₂₃	—	2	2	no	—
235	C₂²×D₂₃	—	2	2	no	—
236	C₂²×D₂₃	—	2	2	no	—
237	C₂²×D₂₃	—	2	4	no	—
238	C₂²×D₂₃	—	2	4	no	—
239	C₂²×D₂₃	—	2	4	no	—
240	C₂²×D₂₃	—	2	2	no	—
241	C₂²×D₂₃	#41	1	4	yes	—
242	C₂²×D₂₃	C₂⁴	1	1	yes	characteristic
243	C₂²×D₂₃	C₂⁴	1	2	yes	—
244	C₂²×D₂₃	C₂⁴	1	1	yes	characteristic
245	C₂²×D₂₃	C₂⁴	1	1	yes	characteristic
246	D₄×C₂₃	—	2	2	no	—
247	D₄×C₂₃	—	2	4	no	—
248	D₄×C₂₃	—	2	2	no	—
249	D₄×C₂₃	—	4	2	no	—
250	C₂×C₄×C₂₃	—	2	2	no	—
251	C₂×C₄×C₂₃	—	2	2	no	—
252	C₂×C₄×C₂₃	—	4	2	no	—
253	C₂×C₄×C₂₃	—	4	2	no	—
254	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
255	C₂×C₄×C₂₃	C₂⁴	1	2	yes	—
256	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
257	C₂×C₄×C₂₃	C₂⁴	1	2	yes	—
258	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
259	C₂×C₄×C₂₃	C₂⁴	1	2	yes	—
260	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
261	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
262	C₂²⋊D₂₃	—	2	4	no	—
263	C₂²⋊D₂₃	—	2	2	no	—
264	C₂²⋊D₂₃	—	2	2	no	—
265	C₂²⋊D₂₃	—	2	4	no	—
266	C₂²⋊D₂₃	—	2	4	no	—
267	C₂²⋊D₂₃	—	4	2	no	—
268	C₂²⋊D₂₃	—	4	2	no	—
269	C₂×Dic₂₃	—	2	2	no	—
270	C₂×Dic₂₃	—	2	2	no	—
271	C₂×Dic₂₃	—	4	2	no	—
272	C₂×Dic₂₃	—	4	2	no	—
273	C₂×Dic₂₃	C₂⁴	1	1	yes	characteristic
274	C₂×Dic₂₃	C₂⁴	1	2	yes	—
275	C₂×Dic₂₃	C₂⁴	1	1	yes	characteristic
276	C₂×Dic₂₃	C₂⁴	1	2	yes	—
277	C₂×Dic₂₃	C₂⁴	1	1	yes	characteristic
278	C₂×Dic₂₃	C₂⁴	1	2	yes	—
279	C₂×Dic₂₃	C₂⁴	1	1	yes	characteristic
280	C₂×Dic₂₃	C₂⁴	1	1	yes	characteristic
281	D₉₂	—	2	2	no	—
282	D₉₂	—	2	4	no	—
283	D₉₂	—	2	2	no	—
284	D₉₂	—	4	2	no	—
285	C₄×D₂₃	—	2	2	no	—
286	C₄×D₂₃	—	2	2	no	—
287	C₄×D₂₃	—	2	4	no	—
288	C₄×D₂₃	—	2	2	no	—
289	C₄×D₂₃	—	2	2	no	—
290	C₄×D₂₃	—	2	4	no	—
291	C₄×D₂₃	—	2	4	no	—
292	C₄×D₂₃	—	2	2	no	—
293	C₄×D₂₃	—	2	2	no	—
294	C₄×D₂₃	—	2	2	no	—
295	C₄×D₂₃	—	2	2	no	—
296	C₄×D₂₃	—	4	2	no	—
297	C₄×D₂₃	—	4	2	no	—
298	C₄×D₂₃	—	4	2	no	—
299	C₄×D₂₃	—	4	2	no	—
300	C₄×D₂₃	#41	1	4	yes	—
301	C₂×#553	—	23	1	no	maximal, Sylow
302	C₂²×C₂₃	—	2	1	no	—
303	C₂²×C₂₃	—	2	1	no	—
304	C₂²×C₂₃	—	2	1	no	—
305	C₂²×C₂₃	—	2	1	no	—
306	C₂²×C₂₃	—	2	2	no	—
307	C₂²×C₂₃	—	2	2	no	—
308	C₂²×C₂₃	—	2	2	no	—
309	C₂²×C₂₃	—	2	1	no	—
310	C₂²×C₂₃	C₂×#41	1	2	yes	—
311	C₂²×C₂₃	C₂⁵	1	1	yes	characteristic
312	C₂×D₂₃	—	2	1	no	—
313	C₂×D₂₃	—	2	1	no	—
314	C₂×D₂₃	—	2	8	no	—
315	C₂×D₂₃	—	2	1	no	—
316	C₂×D₂₃	—	2	1	no	—
317	C₂×D₂₃	—	2	2	no	—
318	C₂×D₂₃	—	2	2	no	—
319	C₂×D₂₃	—	2	2	no	—
320	C₂×D₂₃	—	2	1	no	—
321	C₂×D₂₃	—	4	4	no	—
322	C₂×D₂₃	—	4	8	no	—
323	C₂×D₂₃	C₂×#41	1	2	yes	—
324	C₂×D₂₃	C₂×#41	1	2	yes	—
325	C₂×D₂₃	C₂×#41	1	2	yes	—
326	C₂×D₂₃	H(5,𝔽₂)	1	2	yes	—
327	C₄×C₂₃	—	2	1	no	—
328	C₄×C₂₃	—	2	1	no	—
329	C₄×C₂₃	—	2	2	no	—
330	C₄×C₂₃	—	2	1	no	—
331	C₄×C₂₃	—	2	1	no	—
332	C₄×C₂₃	—	2	2	no	—
333	C₄×C₂₃	—	2	2	no	—
334	C₄×C₂₃	C₂×#41	1	2	yes	—
335	Dic₂₃	—	2	1	no	—
336	Dic₂₃	—	2	1	no	—
337	Dic₂₃	—	2	2	no	—
338	Dic₂₃	—	2	1	no	—
339	Dic₂₃	—	2	1	no	—
340	Dic₂₃	—	2	2	no	—
341	Dic₂₃	—	2	2	no	—
342	Dic₂₃	C₂×#41	1	2	yes	—
343	#553	—	23	2	no	—
344	#553	—	23	1	no	—
345	#553	—	23	2	no	—
346	#553	—	23	2	no	—
347	#553	—	23	1	no	—
348	#553	—	23	1	no	—
349	#553	—	23	1	no	—
350	#553	—	23	2	no	—
351	#553	—	23	1	no	—
352	#553	—	23	1	no	—
353	#553	—	23	1	no	—
354	#553	D₂₃	1	1	yes	characteristic, direct product factor
355	C₂×#126	—	23	2	no	—
356	C₂×#125	—	23	1	no	—
357	C₂×#123	—	23	2	no	—
358	C₂×#121	—	23	2	no	—
359	C₂×#121	—	23	1	no	—
360	C₂×#121	—	23	1	no	—
361	C₂×C₄×D₄	—	23	2	no	—
362	C₂×C₄×D₄	—	23	1	no	—
363	C₂×C₄×D₄	—	23	1	no	—
364	C₂×#117	—	23	1	no	—
365	C₂²×C₄⋊C₄	—	23	1	no	—
366	C₂×C₂₃	—	2	2	no	—
367	C₂×C₂₃	—	4	1	no	—
368	C₂×C₂₃	—	4	2	no	—
369	C₂×C₂₃	C₂²×#41	1	1	yes	characteristic
370	C₂×C₂₃	C₂²×#41	1	1	yes	characteristic
371	C₂×C₂₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
372	D₂₃	—	2	2	no	—
373	D₂₃	—	4	1	no	—
374	D₂₃	—	4	2	no	—
375	D₂₃	#553	1	4	yes	direct product factor
376	C₂²×D₄	—	23	1	no	—
377	C₂²×D₄	—	23	2	no	—
378	C₂²×D₄	—	23	1	no	—
379	C₂²×D₄	—	23	2	no	—
380	C₂³×C₄	—	23	1	no	—
381	C₂³×C₄	—	23	1	no	—
382	C₂³×C₄	—	23	2	no	—
383	C₂³×C₄	—	23	2	no	—
384	#126	—	23	2	no	—
385	#126	—	23	2	no	—
386	#126	—	23	2	no	—
387	#126	—	23	2	no	—
388	#126	—	23	2	no	—
389	#126	—	23	2	no	—
390	#126	—	23	2	no	—
391	#126	C₂×D₂₃	1	2	yes	complemented
392	#125	—	23	2	no	—
393	#125	—	23	2	no	—
394	#125	—	23	1	no	—
395	#125	—	23	1	no	—
396	#125	—	23	1	no	—
397	#125	C₂×D₂₃	1	1	yes	characteristic, complemented
398	#123	—	23	2	no	—
399	#123	—	23	2	no	—
400	#123	—	23	2	no	—
401	#123	—	23	2	no	—
402	#123	—	23	2	no	—
403	#123	—	23	2	no	—
404	#123	—	23	2	no	—
405	#123	C₂×D₂₃	1	2	yes	complemented
406	#121	—	23	2	no	—
407	#121	—	23	1	no	—
408	#121	—	23	1	no	—
409	#121	—	23	2	no	—
410	#121	—	23	2	no	—
411	#121	—	23	2	no	—
412	#121	—	23	2	no	—
413	#121	—	23	2	no	—
414	#121	—	23	1	no	—
415	#121	—	23	1	no	—
416	#121	—	23	2	no	—
417	#121	—	23	1	no	—
418	#121	—	23	1	no	—
419	#121	—	23	2	no	—
420	#121	—	23	2	no	—
421	#121	—	23	2	no	—
422	#121	—	23	2	no	—
423	#121	C₂×D₂₃	1	2	yes	complemented
424	#121	C₂×D₂₃	1	1	yes	characteristic, complemented
425	#121	C₂×D₂₃	1	1	yes	characteristic, complemented
426	C₄×D₄	—	23	2	no	—
427	C₄×D₄	—	23	1	no	—
428	C₄×D₄	—	23	1	no	—
429	C₄×D₄	—	23	2	no	—
430	C₄×D₄	—	23	2	no	—
431	C₄×D₄	—	23	1	no	—
432	C₄×D₄	—	23	2	no	—
433	C₄×D₄	—	23	1	no	—
434	C₄×D₄	—	23	2	no	—
435	C₄×D₄	—	23	1	no	—
436	C₄×D₄	—	23	1	no	—
437	C₄×D₄	—	23	2	no	—
438	C₄×D₄	—	23	2	no	—
439	C₄×D₄	—	23	1	no	—
440	C₄×D₄	—	23	2	no	—
441	C₄×D₄	—	23	1	no	—
442	C₄×D₄	—	23	2	no	—
443	C₄×D₄	—	23	1	no	—
444	C₄×D₄	—	23	1	no	—
445	C₄×D₄	C₂×D₂₃	1	2	yes	complemented
446	C₄×D₄	C₂×D₂₃	1	1	yes	characteristic, complemented
447	C₄×D₄	C₂×D₂₃	1	1	yes	characteristic, complemented
448	#117	—	23	1	no	—
449	#117	—	23	1	no	—
450	#117	—	23	1	no	—
451	#117	—	23	2	no	—
452	#117	—	23	2	no	—
453	#117	C₂×D₂₃	1	1	yes	characteristic, complemented
454	C₂×C₄⋊C₄	—	23	2	no	—
455	C₂×C₄⋊C₄	—	23	1	no	—
456	C₂×C₄⋊C₄	—	23	1	no	—
457	C₂×C₄⋊C₄	—	23	1	no	—
458	C₂×C₄⋊C₄	—	23	2	no	—
459	C₂×C₄⋊C₄	—	23	2	no	—
460	C₂×C₄⋊C₄	—	23	1	no	—
461	C₂×C₄⋊C₄	—	23	1	no	—
462	C₂×C₄⋊C₄	—	23	1	no	—
463	C₂×C₄⋊C₄	—	23	2	no	—
464	C₂×C₄⋊C₄	—	23	1	no	—
465	C₂×C₄⋊C₄	—	23	2	no	—
466	C₂×C₄⋊C₄	C₂×D₂₃	1	1	yes	characteristic, complemented
467	C₂×C₂²⋊C₄	—	23	2	no	—
468	C₂×C₂²⋊C₄	—	23	1	no	—
469	C₂×C₂²⋊C₄	—	23	2	no	—
470	C₂×C₂²⋊C₄	—	23	2	no	—
471	C₂×C₂²⋊C₄	—	23	1	no	—
472	C₂×C₂²⋊C₄	—	23	2	no	—
473	C₂×C₄²	—	23	2	no	—
474	C₂×C₄²	—	23	1	no	—
475	C₂₃	C₂×#553	1	1	yes	characteristic, complemented, Sylow
476	C₂⁴	—	23	1	no	—
477	C₂⁴	—	23	1	no	—
478	C₂⁴	—	23	2	no	—
479	C₂×D₄	—	23	2	no	—
480	C₂×D₄	—	23	2	no	—
481	C₂×D₄	—	23	1	no	—
482	C₂×D₄	—	23	2	no	—
483	C₂×D₄	—	23	1	no	—
484	C₂×D₄	—	23	2	no	—
485	C₂×D₄	—	23	2	no	—
486	C₂×D₄	—	23	2	no	—
487	C₂×D₄	—	23	1	no	—
488	C₂×D₄	—	23	1	no	—
489	C₂×D₄	—	23	2	no	—
490	C₂×D₄	—	46	4	no	—
491	C₂×D₄	—	46	8	no	—
492	C₂×D₄	—	46	4	no	—
493	C₂×D₄	—	92	4	no	—
494	C₂×D₄	C₂²×D₂₃	1	2	yes	—
495	C₂×D₄	C₂²×D₂₃	1	1	yes	characteristic
496	C₂×D₄	C₂²×D₂₃	1	1	yes	characteristic
497	C₂×D₄	C₂²×D₂₃	1	2	yes	—
498	C₂²×C₄	—	23	1	no	—
499	C₂²×C₄	—	23	1	no	—
500	C₂²×C₄	—	23	1	no	—
501	C₂²×C₄	—	23	2	no	—
502	C₂²×C₄	—	23	2	no	—
503	C₂²×C₄	—	23	1	no	—
504	C₂²×C₄	—	23	2	no	—
505	C₂²×C₄	—	23	1	no	—
506	C₂²×C₄	—	23	2	no	—
507	C₂²×C₄	—	23	1	no	—
508	C₂²×C₄	—	23	1	no	—
509	C₂²×C₄	—	23	2	no	—
510	C₂²×C₄	—	23	1	no	—
511	C₂²×C₄	—	23	1	no	—
512	C₂²×C₄	—	23	1	no	—
513	C₂²×C₄	—	23	1	no	—
514	C₂²×C₄	—	23	2	no	—
515	C₂²×C₄	—	23	2	no	—
516	C₂²×C₄	—	23	2	no	—
517	C₂²×C₄	—	23	2	no	—
518	C₂²×C₄	—	46	4	no	—
519	C₂²×C₄	—	46	4	no	—
520	C₂²×C₄	—	92	4	no	—
521	C₂²×C₄	—	92	4	no	—
522	C₂²×C₄	C₂²×D₂₃	1	1	yes	characteristic
523	C₂²×C₄	C₂²×D₂₃	1	1	yes	characteristic
524	C₂²×C₄	C₂²×D₂₃	1	2	yes	—
525	C₂²×C₄	C₂²×D₂₃	1	2	yes	—
526	C₄⋊C₄	—	23	2	no	—
527	C₄⋊C₄	—	23	1	no	—
528	C₄⋊C₄	—	23	2	no	—
529	C₄⋊C₄	—	23	1	no	—
530	C₄⋊C₄	—	23	2	no	—
531	C₄⋊C₄	—	23	2	no	—
532	C₄⋊C₄	—	23	2	no	—
533	C₄⋊C₄	—	23	2	no	—
534	C₄⋊C₄	—	23	1	no	—
535	C₄⋊C₄	—	23	2	no	—
536	C₄⋊C₄	—	23	2	no	—
537	C₄⋊C₄	—	23	2	no	—
538	C₄⋊C₄	—	23	1	no	—
539	C₄⋊C₄	—	23	1	no	—
540	C₄⋊C₄	—	23	1	no	—
541	C₄⋊C₄	—	23	2	no	—
542	C₄⋊C₄	—	23	2	no	—
543	C₄⋊C₄	—	23	2	no	—
544	C₄⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
545	C₄⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
546	C₄⋊C₄	C₂²×D₂₃	1	2	yes	—
547	C₄⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
548	C₄⋊C₄	C₂²×D₂₃	1	2	yes	—
549	C₄⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
550	C₄⋊C₄	C₂²×D₂₃	1	2	yes	—
551	C₂²⋊C₄	—	23	2	no	—
552	C₂²⋊C₄	—	23	1	no	—
553	C₂²⋊C₄	—	23	2	no	—
554	C₂²⋊C₄	—	23	2	no	—
555	C₂²⋊C₄	—	23	1	no	—
556	C₂²⋊C₄	—	23	2	no	—
557	C₂²⋊C₄	—	23	2	no	—
558	C₂²⋊C₄	—	23	2	no	—
559	C₂²⋊C₄	—	23	1	no	—
560	C₂²⋊C₄	—	23	1	no	—
561	C₂²⋊C₄	—	23	2	no	—
562	C₂²⋊C₄	—	23	2	no	—
563	C₂²⋊C₄	—	23	2	no	—
564	C₂²⋊C₄	—	23	2	no	—
565	C₂²⋊C₄	—	23	1	no	—
566	C₂²⋊C₄	—	23	1	no	—
567	C₂²⋊C₄	—	23	2	no	—
568	C₂²⋊C₄	—	23	2	no	—
569	C₂²⋊C₄	C₂²×D₂₃	1	2	yes	—
570	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
571	C₂²⋊C₄	C₂²×D₂₃	1	2	yes	—
572	C₂²⋊C₄	C₂²×D₂₃	1	2	yes	—
573	C₂²⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
574	C₂²⋊C₄	C₂²×D₂₃	1	2	yes	—
575	C₄²	—	23	2	no	—
576	C₄²	—	23	2	no	—
577	C₄²	—	23	2	no	—
578	C₄²	—	23	1	no	—
579	C₄²	—	23	1	no	—
580	C₄²	—	23	1	no	—
581	C₄²	C₂²×D₂₃	1	2	yes	—
582	C₄²	C₂²×D₂₃	1	1	yes	characteristic
583	C₂³	—	23	1	no	—
584	C₂³	—	23	4	no	—
585	C₂³	—	23	1	no	—
586	C₂³	—	23	1	no	—
587	C₂³	—	23	2	no	—
588	C₂³	—	46	2	no	—
589	C₂³	—	46	2	no	—
590	C₂³	—	46	2	no	—
591	C₂³	—	46	4	no	—
592	C₂³	—	46	4	no	—
593	C₂³	—	46	2	no	—
594	C₂³	—	46	4	no	—
595	C₂³	—	46	2	no	—
596	C₂³	C₂³×D₂₃	1	1	yes	characteristic
597	C₂³	C₂³×D₂₃	1	2	yes	—
598	C₂³	C₂³×D₂₃	1	1	yes	characteristic
599	D₄	—	2	4	no	—
600	D₄	—	2	2	no	—
601	D₄	—	2	2	no	—
602	D₄	—	4	2	no	—
603	D₄	—	46	4	no	—
604	D₄	—	46	2	no	—
605	D₄	—	46	4	no	—
606	D₄	—	46	4	no	—
607	D₄	—	46	2	no	—
608	D₄	—	46	4	no	—
609	D₄	—	46	2	no	—
610	D₄	—	46	2	no	—
611	D₄	—	92	2	no	—
612	D₄	—	92	2	no	—
613	D₄	—	92	2	no	—
614	C₂×C₄	—	2	2	no	—
615	C₂×C₄	—	2	2	no	—
616	C₂×C₄	—	4	2	no	—
617	C₂×C₄	—	4	2	no	—
618	C₂×C₄	—	23	1	no	—
619	C₂×C₄	—	23	4	no	—
620	C₂×C₄	—	23	1	no	—
621	C₂×C₄	—	23	2	no	—
622	C₂×C₄	—	23	1	no	—
623	C₂×C₄	—	23	2	no	—
624	C₂×C₄	—	23	1	no	—
625	C₂×C₄	—	23	1	no	—
626	C₂×C₄	—	23	2	no	—
627	C₂×C₄	—	46	2	no	—
628	C₂×C₄	—	46	2	no	—
629	C₂×C₄	—	46	2	no	—
630	C₂×C₄	—	46	2	no	—
631	C₂×C₄	—	46	4	no	—
632	C₂×C₄	—	46	2	no	—
633	C₂×C₄	—	46	4	no	—
634	C₂×C₄	—	46	4	no	—
635	C₂×C₄	—	46	2	no	—
636	C₂×C₄	—	46	2	no	—
637	C₂×C₄	—	46	2	no	—
638	C₂×C₄	—	46	2	no	—
639	C₂×C₄	—	46	2	no	—
640	C₂×C₄	—	92	2	no	—
641	C₂×C₄	—	92	2	no	—
642	C₂×C₄	—	92	2	no	—
643	C₂×C₄	—	92	2	no	—
644	C₂×C₄	—	92	2	no	—
645	C₂×C₄	—	92	2	no	—
646	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
647	C₂×C₄	C₂³×D₂₃	1	2	yes	—
648	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
649	C₂×C₄	C₂³×D₂₃	1	2	yes	—
650	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
651	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
652	C₂×C₄	C₂³×D₂₃	1	2	yes	—
653	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
654	C₂²	—	2	1	no	—
655	C₂²	—	2	1	no	—
656	C₂²	—	2	1	no	—
657	C₂²	—	2	1	no	—
658	C₂²	—	2	2	no	—
659	C₂²	—	2	2	no	—
660	C₂²	—	2	2	no	—
661	C₂²	—	2	1	no	—
662	C₂²	—	23	2	no	—
663	C₂²	—	23	2	no	—
664	C₂²	—	23	2	no	—
665	C₂²	—	23	2	no	—
666	C₂²	—	46	8	no	—
667	C₂²	—	46	1	no	—
668	C₂²	—	46	1	no	—
669	C₂²	—	46	1	no	—
670	C₂²	—	46	1	no	—
671	C₂²	—	46	2	no	—
672	C₂²	—	46	2	no	—
673	C₂²	—	46	2	no	—
674	C₂²	—	46	1	no	—
675	C₂²	—	92	4	no	—
676	C₂²	—	92	8	no	—
677	C₂²	#41×D₂₃	1	2	yes	—
678	C₂²	C₂⁴×D₂₃	1	1	yes	characteristic
679	C₄	—	2	1	no	—
680	C₄	—	2	1	no	—
681	C₄	—	2	2	no	—
682	C₄	—	2	1	no	—
683	C₄	—	2	1	no	—
684	C₄	—	2	2	no	—
685	C₄	—	2	2	no	—
686	C₄	—	23	2	no	—
687	C₄	—	46	1	no	—
688	C₄	—	46	1	no	—
689	C₄	—	46	2	no	—
690	C₄	—	46	1	no	—
691	C₄	—	46	2	no	—
692	C₄	—	46	1	no	—
693	C₄	—	46	2	no	—
694	C₄	#41×D₂₃	1	2	yes	—
695	C₂	—	2	2	no	—
696	C₂	—	4	1	no	—
697	C₂	—	4	2	no	—
698	C₂	—	23	4	no	—
699	C₂	—	46	2	no	—
700	C₂	—	92	1	no	—
701	C₂	—	92	2	no	—
702	C₂	C₂×#41×D₂₃	1	1	yes	characteristic
703	C₂	C₂×#41×D₂₃	1	1	yes	characteristic
704	C₂	H(5,𝔽₂)×D₂₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₂₃
commutator, socle, cosocle	C₂²×C₂₃	C₂⁵
Fitting	C₂₃×#553	C₂
hypercenter	#553	D₂₃
hypocenter	C₂₃	C₂×#553
LCS	G ▷ C₂²×C₂₃ ▷ C₂₃
UCS	C₁ ◁ C₂² ◁ #553

Complements

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

N	H ≅ G/N	type
1. #13093120	C₂	semidirect
2. #13093119	C₂	semidirect
3. #13093118	C₂	semidirect
4. #13093117	C₂	semidirect
5. #13093116	C₂	semidirect
6. #13093115	C₂	semidirect
7. #13093114	C₂	semidirect
8. #13093113	C₂	semidirect
9. #13093112	C₂	semidirect
10. #13093111	C₂	semidirect
11. #13093110	C₂	semidirect
12. #126×D₂₃	C₂	semidirect
13. #125×D₂₃	C₂	semidirect
14. #123×D₂₃	C₂	semidirect
15. #121×D₂₃	C₂	semidirect
16. #121×D₂₃	C₂	semidirect
17. #121×D₂₃	C₂	semidirect
18. C₄×D₄×D₂₃	C₂	semidirect
19. C₄×D₄×D₂₃	C₂	semidirect
20. C₄×D₄×D₂₃	C₂	semidirect
21. #117×D₂₃	C₂	semidirect
22. C₂×C₄⋊C₄×D₂₃	C₂	semidirect
23. C₂₃×#553	C₂	semidirect
32. C₂₃×#126	C₂²	semidirect
33. C₂₃×#125	C₂²	semidirect
34. C₂₃×#123	C₂²	semidirect
35. C₂₃×#121	C₂²	semidirect
36. C₂₃×#121	C₂²	semidirect
37. C₂₃×#121	C₂²	semidirect
38. C₄×D₄×C₂₃	C₂²	semidirect
39. C₄×D₄×C₂₃	C₂²	semidirect
40. C₄×D₄×C₂₃	C₂²	semidirect
41. C₂₃×#117	C₂²	semidirect
42. C₂×C₄⋊C₄×C₂₃	C₂²	semidirect
43. #10625110	C₂²	semidirect
44. #10625110	C₂²	semidirect
45. #10625110	C₂²	semidirect
46. #10625110	C₂²	semidirect
47. #10625109	C₂²	semidirect
48. #10625109	C₂²	semidirect
49. #10625109	C₂²	semidirect
50. #10625106	C₂²	semidirect
51. D₄×Dic₂₃	C₂²	semidirect
52. D₄×Dic₂₃	C₂²	semidirect
53. D₄×Dic₂₃	C₂²	semidirect
54. #10625101	C₂²	semidirect
55. #10625101	C₂²	semidirect
56. #10625101	C₂²	semidirect
57. #10625100	C₂²	semidirect
58. C₄×C₂²⋊D₂₃	C₂²	semidirect
59. C₄×C₂²⋊D₂₃	C₂²	semidirect
60. C₄×C₂²⋊D₂₃	C₂²	semidirect
61. C₄×C₂²⋊D₂₃	C₂²	semidirect
62. C₄×C₂²⋊D₂₃	C₂²	semidirect
63. #10625097	C₂²	semidirect
64. C₂×C₄⋊Dic₂₃	C₂²	semidirect
65. C₂×Dic₂₃⋊C₄	C₂²	semidirect
66. #10625069	C₂²	semidirect
67. #10625069	C₂²	semidirect
68. #10625069	C₂²	semidirect
69. #10625066	C₂²	semidirect
70. #10625066	C₂²	semidirect
71. #10625066	C₂²	semidirect
72. #10625065	C₂²	semidirect
73. #10625065	C₂²	semidirect
74. #10625064	C₂²	semidirect
75. #10625064	C₂²	semidirect
76. #10625064	C₂²	semidirect
77. #10625063	C₂²	semidirect
78. #10625063	C₂²	semidirect
86. C₄⋊C₄×D₂₃	C₂²	semidirect
87. C₄⋊C₄×D₂₃	C₂²	semidirect
88. C₄⋊C₄×D₂₃	C₂²	semidirect
89. #10625061	C₂²	semidirect
90. #10625061	C₂²	semidirect
91. #10625060	C₂²	semidirect
92. #10625060	C₂²	semidirect
93. #10625057	C₂²	semidirect
94. #10625055	C₂²	semidirect
95. #10625055	C₂²	semidirect
96. #10625055	C₂²	semidirect
97. #10625055	C₂²	semidirect
98. #10625054	C₂²	semidirect
99. #10625054	C₂²	semidirect
100. (C₂²⋊D₂₃)⋊C₄	C₂²	semidirect
101. (C₂²⋊D₂₃)⋊C₄	C₂²	semidirect
102. (C₂²⋊D₂₃)⋊C₄	C₂²	semidirect
103. (C₂²⋊D₂₃)⋊C₄	C₂²	semidirect
104. (C₂²⋊D₂₃)⋊C₄	C₂²	semidirect
111. #10625050	C₂²	semidirect
112. #10625050	C₂²	semidirect
113. #10625050	C₂²	semidirect
114. #10625048	C₂²	semidirect
115. #10625047	C₂²	semidirect
116. C₄×D₉₂	C₂²	semidirect
117. C₄×D₉₂	C₂²	semidirect
118. C₄×D₉₂	C₂²	semidirect
119. #10625043	C₂²	semidirect
122. #10625041	C₂²	semidirect
354. #553	D₂₃	direct (N × H)
375. D₂₃	#553	direct (N × H)
391. #126	C₂×D₂₃	semidirect
397. #125	C₂×D₂₃	semidirect
405. #123	C₂×D₂₃	semidirect
423. #121	C₂×D₂₃	semidirect
424. #121	C₂×D₂₃	semidirect
425. #121	C₂×D₂₃	semidirect
445. C₄×D₄	C₂×D₂₃	semidirect
446. C₄×D₄	C₂×D₂₃	semidirect
447. C₄×D₄	C₂×D₂₃	semidirect
453. #117	C₂×D₂₃	semidirect
466. C₂×C₄⋊C₄	C₂×D₂₃	semidirect
475. C₂₃	C₂×#553	semidirect

Maximal subgroups

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

subgroup	index
#13093120	2
#13093119	2
#13093118	2
#13093117	2
#13093116	2
#13093115	2
#13093114	2
#13093113	2
#13093112	2
#13093111	2
#13093110	2
#126×D₂₃	2
#125×D₂₃	2
#123×D₂₃	2
#121×D₂₃	2
C₄×D₄×D₂₃	2
#117×D₂₃	2
C₂×C₄⋊C₄×D₂₃	2
C₂₃×#553	2
C₂×#553	23

Subgroups — D23×#553 #15686912

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₂₃×#553 #15686912