Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3¹⁺²:D₈

Name:

3^(1+2):D8

Group order:

216 = 2³ ⋅ 3³

Number of classes:

13

InfoText value:

origin: Ostermann, tests: 1.o.r., pow[2,3] Sylow 3 normalizer in sporadic Mathieu group M24, Sylow 3 normalizer in sporadic Held group He, 5th maximal subgroup (novelty) in M12.2

Group constructions in GAP:

AtlasStabilizer( "L3(3).2", "L33d2G1-p52B0" ), AtlasSubgroup( "M12.2", 7 ), SmallGroup( 216, 87 ), TransitiveGroup( 18, 105 ), TransitiveGroup( 27, 76 )

Stored class fusions from this table:

²F₄(2)', 2⁶:3¹⁺².D₈, 3.A₆.2₁, 3.A₇.2, 3¹⁺²:SD₁₆, He, L₃(3).2, M₁₂.2, M₂₄

Stored class fusions to this table:

2⁶:3¹⁺².D₈, 3¹⁺²:4, M₁₂N3

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