Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₇(2)

Name:

L7(2)

Group order:

163849992929280 = 2²¹ ⋅ 3⁴ ⋅ 5 ⋅ 7² ⋅ 31 ⋅ 127

Number of classes:

117

InfoText value:

origin: CAS library, tests: 1.o.r., pow[2,3,5,7,31]

Maximal subgroups:

	Order	Index	Structure	Name
1	1290157424640	127	26:L6(2)	2^6:L6(2)
2	61436067840	2667	210:(L5(2) × S3)	2^10:(L5(2)xS3)
3	13872660480	11811	212:(L4(2) × L3(2))	2^12:(L4(2)xL3(2))
4	889	184308203520	127:7	127:7

Atlas representations:

26 available

Group constructions in GAP:

AtlasGroup( "L7(2)" ), AtlasSubgroup( "L7(2).2", 1 ), PSL( 7, 2 ), PrimitiveGroup( 127, 13 ), PrimitiveGroup( 2667, 1 )

Stored class fusions from this table:

L₇(2).2, P₁(L₈(2))

Stored class fusions to this table:

2⁶:L₆(2), 2¹⁰:(L₅(2) × S₃), 2¹²:(L₄(2) × L₃(2)), 127:7, P₁(L₈(2))

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