Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 5²:(4 × S₃)

Name:

5^2:(4xS3)

Group order:

600 = 2³ ⋅ 3 ⋅ 5²

Number of classes:

16

InfoText value:

origin: Ostermann, tests: 1.o.r., pow[2,3,5] Sylow 5 normalizer in sporadic Suzuki group Suz, 8th maximal subgroup (and Sylow 5 normalizer) in J2:2,

Group constructions in GAP:

AtlasStabilizer( "J2.2", "J2d2G1-p2016aB0" ), AtlasStabilizer( "U3(4).4", "U34d4G1-p416B0" ), AtlasSubgroup( "J2.2", 9 ), AtlasSubgroup( "U3(4).4", 4 ), PrimitiveGroup( 25, 13 ), SmallGroup( 600, 151 ), TransitiveGroup( 15, 27 ), TransitiveGroup( 25, 43 ), TransitiveGroup( 30, 150 ), TransitiveGroup( 30, 153 ), TransitiveGroup( 30, 155 )

Stored class fusions from this table:

G₂(4).2, J₂.2, L₂(25).2₂, Suz, U₃(4).4

Stored class fusions to this table:

2.J₂.2N5, 3 × 2.J₂.2N5, 5²:D₁₂

File created automatically by GAP on 6-May-2025.