Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for A₁₀

Name:

A10

Group order:

1814400 = 2⁷ ⋅ 3⁴ ⋅ 5² ⋅ 7

Number of classes:

24

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]

Maximal subgroups:

	Order	Index	Structure	Name
1	181440	10	A9	A9
2	40320	45	S8	A8.2
3	15120	120	(A7 × 3):2	(A7x3).2
4	14400	126	(A5 × A5):4	(A5xA5):4
5	8640	210	(A6 × A4):2	(A6xA4).2
6	1920	945	24:S5	mo62
7	720	2520	A6.23	A6.2_3

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
5	dec. matrix (PDF)
7	dec. matrix (PDF)

Atlas representations:

68 available

Group constructions in GAP:

AlternatingGroup( 10 ), AtlasGroup( "A10" ), AtlasStabilizer( "A11", "A11G1-p11B0" ), AtlasSubgroup( "A11", 1 ), PerfectGroup( 1814400, 1 ), PrimitiveGroup( 10, 8 ), PrimitiveGroup( 45, 6 ), PrimitiveGroup( 120, 18 ), PrimitiveGroup( 126, 1 ), PrimitiveGroup( 210, 1 ), PrimitiveGroup( 945, 1 ), PrimitiveGroup( 2520, 6 ), TransitiveGroup( 10, 44 )

Stored class fusions from this table:

S₁₀, A₁₁, O₉(3)

Stored class fusions to this table:

2.A₁₀, (A₅ × A₅):4, (A₆ × A₄):2, (A₇ × 3):2, A₆.2₃, S₈, A₉, 2⁴:S₅

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