Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2 × M₁₁

Name:

2xM11

Group order:

15840 = 2⁵ ⋅ 3² ⋅ 5 ⋅ 11

Number of classes:

20

InfoText value:

1st maximal subgroup of 2.M12, 8th (and 9th, see 2.HSM9) maximal subgroup of 2.HS, 9th maximal subgroup of McL.2

Duplicates:

2.A11M7, 2.HSM9, 2.M12M2

Group constructions in GAP:

AtlasSubgroup( "2.HS", 8 ), AtlasSubgroup( "2.HS", 9 ), AtlasSubgroup( "2.M12", 1 ), AtlasSubgroup( "2.M12", 2 ), AtlasSubgroup( "McL.2", 8 ), DirectProduct( "C2", "M11" ), TransitiveGroup( 22, 26 ), TransitiveGroup( 22, 27 ), TransitiveGroup( 24, 12204 )

Stored class fusions from this table:

2.A₁₁, 2.B, 2.HS, 2.M₁₂, M^cL.2

Stored class fusions to this table:

2 × 3⁵:M₁₁, 2 × 3⁶.M₁₁, 3⁵:(2 × M₁₁), 3⁵:(M₁₁ × 2), 3⁶:(M₁₁ × 2), 3⁵:(M₁₁ × 2)

File created automatically by GAP on 20-May-2025.