Finite Group Databasebeta

← Group #340417

Character table — Group #340417

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444444448888888888882444444488888888444
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-1-1-1-1-111-11111-111-1-1-1-1-1-1-11-1
χ31111111111111111111111-1-111-1-111-1-1-1-1-111111-11-1-111-1-1-1-1-1-11
χ41111111111111111111111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-1-1-111111-1-1
χ511111111111111111111-1-11111111111111-1-11-1-11-1-1-11111-1-1-1-1-1
χ611111111111111111111-1-111-1-111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1111-11
χ711111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1111-1-111-1-1-111
χ9111111111111111111-1-111111111111111-111-1-1-1-1111-1-1-1-111-1-1-1
χ10111111111111111111-1-11111-1-111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-11-11
χ11111111111111111111-1-111-1-111-1-111-1-1-1-1111-1-1-111-1-1-1-111-1-111-1
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-111-1-111-111
χ13111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111-11-1-1111111-11-1
χ15111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11-1-1-1111-111-1-11111-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111111111-1-1-1-11-1-1
χ172222222222-2-22-22-2-2-20022002200-2-200000-2-20000200000000000
χ182222222222-2-22-22-2-2-2002200-2-2002200000-220000-200000000000
χ192222222222-2-22-22-2-2-200-2-2002200-2-200000220000-200000000000
χ202222222222-2-22-22-2-2-200-2-200-2-20022000002-20000200000000000
χ2122222222-2-222-22-22-2-222002200-2-2000000-200-2002000000000000
χ2222222222-2-222-22-22-2-22200-2-20022000000200-200-2000000000000
χ2322222222-2-222-22-22-2-2-2-2002200-2-2000000200200-2000000000000
χ2422222222-2-222-22-22-2-2-2-200-2-20022000000-2002002000000000000
χ252-2-2-22-222-2-2-2-222222-2000000000000000000002-20000002-22-2000
χ262-2-2-22-222-2-2-2-222222-2000000000000000000002-2000000-22-22000
χ272-2-2-22-222-2-2-2-222222-200000000000000000000-220000002-2-22000
χ282-2-2-22-222-2-2-2-222222-200000000000000000000-22000000-222-2000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-4-4-44-4004-4040-4000000000000002222−22−220000000000000000000
χ31444-4-4-44-4004-4040-400000000000000−22−2222220000000000000000000
χ32444-4-4-44-400-440-4040000004i−4i00000000000000000000000000000
χ33444-4-4-44-400-440-404000000−4i4i00000000000000000000000000000
χ3444-44-4-4-444-40040-400000000000000000000000000022−22000000000
χ3544-44-4-4-444-40040-4000000000000000000000000000−2222000000000
χ3644-44-4-4-44-4400-404000004i−4i0000000000000000000000000000000
χ3744-44-4-4-44-4400-40400000−4i4i0000000000000000000000000000000
χ384-4444-4-4-4000000000000000022−2222−22002-22-20000000000000000000
χ394-4444-4-4-4000000000000000022−22−222200-22-220000000000000000000
χ404-4444-4-4-40000000000000000−222222−2200-22-220000000000000000000
χ414-4444-4-4-40000000000000000−2222−2222002-22-20000000000000000000
χ424-44-4-44-444-400-40400000000000000022−22−22220000000000000000000
χ434-44-4-44-444-400-404000000000000000−222222−220000000000000000000
χ444-44-4-44-44-440040-400000000000004i−4i00000000000000000000000
χ454-44-4-44-44-440040-40000000000000−4i4i00000000000000000000000
χ464-4-44-444-4004-40-404000000000000000000000000000022−220000000
χ474-4-44-444-4004-40-4040000000000000000000000000000−22220000000
χ484-4-44-444-400-44040-4004i−4i000000000000000000000000000000000
χ494-4-44-444-400-44040-400−4i4i000000000000000000000000000000000
χ504-4-4-44-4444444-4-4-4-44-400000000000000000000000000000000000
χ514-4-4-44-44444-4-4-44-44-4400000000000000000000000000000000000
χ524-4-4-44-444-4-4444-44-4-4400000000000000000000000000000000000
χ5388-8-888-8-8000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).