Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for A₄ × A₅

Name:

a4xa5

Group order:

720 = 2⁴ ⋅ 3² ⋅ 5

Number of classes:

20

InfoText value:

origin: CAS library, maximal subgroup of j2, test: 1. o.r., sym 2 decompose correctly tests: 1.o.r., pow[2,3,5]

Duplicates:

j₂nd₂

Group constructions in GAP:

AtlasStabilizer( "J2", "J2G1-p840B0" ), AtlasSubgroup( "J2", 5 ), SmallGroup( 720, 768 ), TransitiveGroup( 20, 147 ), TransitiveGroup( 24, 1546 ), TransitiveGroup( 30, 163 )

Stored class fusions from this table:

(A₄ × A₅):2, J₂

Stored class fusions to this table:

2A₄ × A₅

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