Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L₃(7).2

Name:

L3(7).2

Group order:

3753792 = 2⁶ ⋅ 3² ⋅ 7³ ⋅ 19

Number of classes:

26

InfoText value:

origin: ATLAS of finite groups, 2nd power map determined only up to matrix automorphism (9,10)

Duplicates:

L₃(7).2

Some maximal subgroups:

	Order	Index	Structure	Name
1	1876896	2	L3(7)	L3(7)
2	8232	456	71+2:(D8 × 3)	7^(1+2):(D8x3)

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
7	dec. matrix (PDF)
19	dec. matrix (PDF)

Atlas representations:

18 available

Group constructions in GAP:

AtlasGroup( "L3(7).2" ), AtlasStabilizer( "ON", "ONG1-p122760aB0" ), AtlasStabilizer( "ON", "ONG1-p122760bB0" ), AtlasSubgroup( "ON", 1 ), AtlasSubgroup( "ON", 2 ), PrimitiveGroup( 456, 1 ), PrimitiveGroup( 2793, 1 )

Stored class fusions from this table:

L₃(7).S₃, ON

Stored class fusions to this table:

3.L₃(7).2, 7¹⁺²:(D₈ × 3), L₃(7)

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