Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 5²:4A₄

Name:

5^2:4A4

Group order:

1200 = 2⁴ ⋅ 3 ⋅ 5²

Number of classes:

16

InfoText value:

origin: Ostermann, tests: 1.o.r., pow[2,3,5] Sylow 5 normalizer in sporadic Held group He, 8th maximal subgroup and Sylow 5 normalizer in 2F4(2)', maximal subgroup of He

Group constructions in GAP:

AtlasStabilizer( "2F4(2)'", "TF42G1-p14976B0" ), AtlasSubgroup( "2F4(2)'", 8 ), AtlasSubgroup( "He", 11 ), PrimitiveGroup( 25, 18 ), SmallGroup( 1200, 947 ), TransitiveGroup( 25, 57 ), TransitiveGroup( 30, 233 )

Stored class fusions from this table:

²F₄(2)', 5²:4S₄, He

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