Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for A₅ × D₁₀

Name:

a5xd10

Group order:

600 = 2³ ⋅ 3 ⋅ 5²

Number of classes:

20

InfoText value:

origin: CAS library, maximal subgroup of J2, normalizer of a defect 5-subgroup of type 5AB in G2(4), test: 1.OR, JAMES, JAMES,n=3, and restricted characters decompose properly, tests: 1.o.r., pow[2,3,5]

Duplicates:

D₁₀ × A₅

Group constructions in GAP:

AtlasStabilizer( "J2", "J2G1-p1008B0" ), AtlasStabilizer( "U3(4).2", "U34d2G1-p208B0" ), AtlasSubgroup( "J2", 6 ), AtlasSubgroup( "U3(4).2", 3 ), DirectProduct( "A5", "D10" ), SmallGroup( 600, 146 ), TransitiveGroup( 25, 46 ), TransitiveGroup( 30, 128 )

Stored class fusions from this table:

2 × A₅, (A₅ × D₁₀).2, G₂(4), J₂, U₃(4).2

Stored class fusions to this table:

2A₅ × D₁₀

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