Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for (2² × A₅):2

Name:

(2^2xA5):2

Group order:

480 = 2⁵ ⋅ 3 ⋅ 5

Number of classes:

19

InfoText value:

origin: Dixon's Algorithm, 6th maximal subgroup of M12.2, table is sorted w.r.t. normal series 2 < 2xA5 < 2^2xA5 < (2^2xA5):2

Group constructions in GAP:

AtlasStabilizer( "M12.2", "M12d2G1-p396B0" ), AtlasSubgroup( "M12.2", 4 ), AtlasSubgroup( "S4(5)", 7 ), SmallGroup( 480, 951 ), TransitiveGroup( 20, 116 ), TransitiveGroup( 20, 118 ), TransitiveGroup( 24, 1341 ), TransitiveGroup( 24, 1342 ), TransitiveGroup( 24, 1349 ), TransitiveGroup( 24, 1350 )

Stored class fusions from this table:

S₅, D₈, M₁₂.2, S₄(5)

Stored class fusions to this table:

2 × S₅

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