Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for S₁₂(2)

Name:

S12(2)

Group order:

208114637736580743168000 = 2³⁶ ⋅ 3⁸ ⋅ 5³ ⋅ 7² ⋅ 11 ⋅ 13 ⋅ 17 ⋅ 31

Number of classes:

477

InfoText value:

computed by Christoph Koehler using the group and char. theor. methods

Some maximal subgroups:

	Order	Index	Structure	Name
1	103231467131240448000	2016	O12−(2).2	O12-(2).2
2	100055114296433049600	2080	O12+(2).2	O12+(2).2
11	8212119552000	25342377984	S6(4).2	S6(4).2
13	87178291200	2387230064640	A14.2	A14.2
14	3170119680	65648826777600	S4(8).3	S4(8).3
16	15600	13340681906191073280	L2(25).22	L2(25).2_2

Group constructions in GAP:

POmega( 13, 2 ), PSp( 12, 2 ), PrimitiveGroup( 2016, 16 ), PrimitiveGroup( 2080, 15 ), PrimitiveGroup( 4095, 1 )

Stored class fusions to this table:

A₁₄.2, L₂(25).2₂, O₁₂⁺(2).2, O₁₂⁻(2).2, S₄(8).3, S₆(4).2

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