Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 5²:D₁₂

Name:

5^2:D12

Group order:

300 = 2² ⋅ 3 ⋅ 5²

Number of classes:

14

InfoText value:

origin: CAS library, Sylow 5 normalizer in sporadic Janko group J2, test:= 1. o.r., sym 2 decompose correctly tests: 1.o.r., pow[2,3,5]

Group constructions in GAP:

AtlasStabilizer( "U3(4).2", "U34d2G1-p416B0" ), AtlasSubgroup( "J2", 8 ), AtlasSubgroup( "U3(4).2", 4 ), PrimitiveGroup( 25, 7 ), SmallGroup( 300, 25 ), TransitiveGroup( 15, 18 ), TransitiveGroup( 25, 27 ), TransitiveGroup( 30, 66 ), TransitiveGroup( 30, 72 ), TransitiveGroup( 30, 80 )

Stored class fusions from this table:

5²:(4 × S₃), G₂(4), J₂, U₃(4).2

Stored class fusions to this table:

2.(5²:D₁₂)

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