Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for A12

Name:
A12
Group order:
239500800 = 29 ⋅ 35 ⋅ 52 ⋅ 7 ⋅ 11
Number of classes:
43
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11]
Maximal subgroups:
  Order Index Structure Name
1 19958400 12 A11 A11
2 3628800 66 S10 A10.2
3 1088640 220 (A9 × 3):2 (A9x3):2
4 518400 462 (A6 × A6):22 (A6xA6):2^2
5 483840 495 (A8 × A4):2 (A8xA4):2
6 302400 792 (A7 × A5):2 (A7xA5):2
7 95040 2520 M12 M12
8 95040 2520 M12 M12
9 41472 5775 26:33:S4 2^6:3^3:S4
10 23040 10395 25:S6 2^5:S6
11 15552 15400 34:23.S4 3^4:2^3.S4
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
11 dec. matrix (PDF)
Atlas representations:
25 available
Group constructions in GAP:
AlternatingGroup( 12 ), AtlasGroup( "A12" ), AtlasStabilizer( "A13", "A13G1-p13B0" ), AtlasStabilizer( "HN", "HNG1-p1140000B0" ), AtlasSubgroup( "HN", 1 ), PrimitiveGroup( 12, 5 ), PrimitiveGroup( 66, 4 ), PrimitiveGroup( 220, 2 ), PrimitiveGroup( 462, 1 ), PrimitiveGroup( 495, 7 ), PrimitiveGroup( 792, 1 ), PrimitiveGroup( 2520, 9 ), TransitiveGroup( 12, 300 )
Stored class fusions from this table:
S12, A13, HN, O10−(2)
Stored class fusions to this table:
2.A12, 25:S6, 26:33:S4, 34:23.S4, (A6 × A6):22, (A7 × A5):2, (A8 × A4):2, (A9 × 3):2, S10, A11, M12

File created automatically by GAP on 13-Mar-2024.