Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 13:12

Name:

13:12

Group order:

156 = 2² ⋅ 3 ⋅ 13

Number of classes:

13

InfoText value:

3rd maximal subgroup of Sz(8).3, constructions: AGL(1,13)

Group constructions in GAP:

AGL( 1, 13 ), AtlasStabilizer( "Sz(8).3", "Sz8d3G1-p560B0" ), AtlasSubgroup( "Sz(8).3", 3 ), PrimitiveGroup( 13, 6 ), SmallGroup( 156, 7 ), TransitiveGroup( 13, 6 ), TransitiveGroup( 26, 8 )

Stored class fusions from this table:

²F₄(2)'.2, ³D₄(2).3, A₁₃.2, F₄(2), Fi₂₂.2, G₂(3).2, G₂(4).2, Suz.2, Sz(8).3

Stored class fusions to this table:

13:4, 13:6, (3²:2 × 13:6).2, (3¹⁺²₊:2 × 13:6).2, (3 × 13:6).2, (13:6 × A₄).2, (13:6 × L₃(3)).2

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