Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 4²:D₁₂

Name:

4^2:D12

Group order:

192 = 2⁶ ⋅ 3

Number of classes:

14

InfoText value:

origin: CAS library, tests: 1.o.r., pow[2,3]

Group constructions in GAP:

AtlasStabilizer( "U3(3).2", "U33d2G1-p63bB0" ), AtlasSubgroup( "M12", 10 ), SmallGroup( 192, 956 ), TransitiveGroup( 12, 112 ), TransitiveGroup( 12, 113 ), TransitiveGroup( 12, 114 ), TransitiveGroup( 12, 115 ), TransitiveGroup( 16, 431 ), TransitiveGroup( 24, 530 ), TransitiveGroup( 24, 531 ), TransitiveGroup( 24, 532 ), TransitiveGroup( 24, 533 ), TransitiveGroup( 24, 534 ), TransitiveGroup( 24, 535 ), TransitiveGroup( 24, 536 ), TransitiveGroup( 24, 537 ), TransitiveGroup( 24, 538 ), TransitiveGroup( 24, 539 ), TransitiveGroup( 24, 540 ), TransitiveGroup( 24, 541 )

Stored class fusions from this table:

4²:D₁₂.2, G₂(3), M₁₂, U₃(3).2

Stored class fusions to this table:

2².(U₃(3).2 × S₄), 4²:S₃

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