Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2².L₃(4)

Name:

2^2.L3(4)

Group order:

80640 = 2⁸ ⋅ 3² ⋅ 5 ⋅ 7

Number of classes:

34

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]

Maximal subgroups:

	Order	Index	Structure	Name
1	3840	21	26.A5	P1/G3/L2/V1/ext2
2	3840	21	26.A5	P1/G3/L2/V1/ext2
3	1440	56	22 × A6	2^2xA6
4	1440	56	22 × A6	2^2.L3(4)M4
5	1440	56	22 × A6	2^2.L3(4)M5
6	672	120	22 × L2(7)	2^2xL2(7)
7	672	120	22 × L2(7)	2^2.L3(4)M7
8	672	120	22 × L2(7)	2^2.L3(4)M8
9	288	280	22.(32:Q8)	2^2.(3^2:Q8)

Group constructions in GAP:

PerfectGroup( 80640, 2 )

Stored class fusions from this table:

2.L₃(4), 2².L₃(4).2₁, 2².L₃(4).2₂, 2².L₃(4).2₃, 2².L₃(4).3, L₃(4)

Stored class fusions to this table:

2².(3²:Q₈), 2² × A₆, 2² × A₆, 2² × L₂(7), 2² × L₂(7), 2² × A₆, 2² × L₂(7), (2² × 3).L₃(4), (2 × 4).L₃(4), 2⁶.A₅

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