Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2.A₉

Name:

2.A9

Group order:

362880 = 2⁷ ⋅ 3⁴ ⋅ 5 ⋅ 7

Number of classes:

30

InfoText value:

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

Duplicates:

2.O8+(2)M9

Maximal subgroups:

	Order	Index	Structure	Name
1	40320	9	2.A8	2.A8
2	10080	36	Isoclinic(2.A7.2)	Isoclinic(2.A7.2)
3	4320	84	(2.A6 × 3).21	(2.A6x3).2_1
4	3024	120	L2(8):3 × 2	L2(8):3x2
5	3024	120	L2(8):3 × 2	2.A9M5
6	2880	126	2.(A5 × A4).2	2.(A5xA4).2
7	1296	280	(2 × 33).S4	(2x3^3).S4
8	432	840	2 × 32:2A4	2x3^2:2A4

Available Brauer tables:

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

Atlas representations:

8 available

Group constructions in GAP:

AtlasGroup( "2.A9" ), PerfectGroup( 362880, 1 )

Stored class fusions from this table:

2.A₉.2, 2.A₁₀, 2.O₈⁺(2), A₉, Isoclinic(2.A₉.2), A₉

Stored class fusions to this table:

2.(A₅ × A₄).2, 2.A₈, L₂(8):3 × 2, 2¹⁺⁸.2.A₉, 2 × 3²:2A₄, (2.A₆ × 3).2₁, (2 × 3³).S₄, Isoclinic(2.A₇.2), L₂(8):3 × 2

File created automatically by GAP on 20-May-2025.