Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 7:6

Name:

7:6

Group order:

42 = 2 ⋅ 3 ⋅ 7

Number of classes:

7

InfoText value:

origin: CAS library, maximal subgroup of J1, test: 1.OR, JAMES, JAMES, n=3, and restricted characters decompose properly, constructions: AGL(1,7), tests: 1.o.r., pow[2,3,7]

Group constructions in GAP:

AGL( 1, 7 ), AtlasStabilizer( "A7.2", "S7G1-p120B0" ), AtlasStabilizer( "J1", "J1G1-p4180B0" ), AtlasStabilizer( "L2(8).3", "L28d3G1-p36B0" ), AtlasStabilizer( "L3(2).2", "L27d2G1-p8B0" ), AtlasStabilizer( "Sz(8).3", "Sz8d3G1-p2080B0" ), AtlasSubgroup( "A7.2", 5 ), AtlasSubgroup( "J1", 7 ), AtlasSubgroup( "L2(8).3", 4 ), AtlasSubgroup( "L3(2).2", 2 ), AtlasSubgroup( "Sz(8).3", 5 ), PrimitiveGroup( 7, 4 ), SmallGroup( 42, 1 ), TransitiveGroup( 7, 4 ), TransitiveGroup( 14, 4 ), TransitiveGroup( 21, 4 )

Stored class fusions from this table:

S₇, S₈, G₂(3), HS, J₁, J₂, L₂(8).3, L₃(2).2, L₃(4).2₁, L₃(4).2₃, O₈⁺(2), S₆(2), Sz(8).3, U₃(3).2, U₄(3).2₂, U₄(3).2₃, U₆(2)

Stored class fusions to this table:

7:3, 7:12, (7:3 × 2.A₇):2, (7:3 × 2.L₃(4).2).2, (7:3 × A₅):2, (7:3 × A₇):2, (7:3 × He):2, (7:3 × L₂(7)):2, (SL₂(3) × 7:3).2, (SL(2, 3) × 7:3).2, Co₂N7, D₁₄

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