Finite Group Databasebeta

← Group #336580

Character table — Group #336580

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444444448888888888882444444488888888444
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-1-1-1-1-111-11-111111-1-1-1-1-1-11-1-1
χ31111111111111111111111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-11-1
χ41111111111111111111111-1-1-1-1-1-1-1-11111-1-1-11-1111-1-111-1-111-1-11
χ511111111111111111111-1-111111111111111-1-1-11-1-1-1-1-1-11111-1-1-1
χ611111111111111111111-1-111-1-111-1-1-1-1-1-1111-111-1-1-1-111-1-1-1-1-111
χ711111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-1-1111111-1-11-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-111-1-1-1-11111-1
χ9111111111111111111-1-111111111111111-1-1111-1-1-11111-1-1-1-1-1-1-1
χ10111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-111
χ11111111111111111111-1-111-1-111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1111-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-11111-1-111-1
χ13111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-11-111-1-11111111-1-1
χ15111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11111-1-111-1-1-1-11
χ17222222222-2-22-222-2-2-222002200-2-20000002-2000-20000000000000
χ18222222222-2-22-222-2-2-22200-2-20022000000-22000-20000000000000
χ19222222222-2-22-222-2-2-2-2-2002200-2-2000000-2200020000000000000
χ20222222222-2-22-222-2-2-2-2-200-2-200220000002-200020000000000000
χ2122222222-222-22-2-22-2-20022002200-2-20000002-2-200000000000000
χ2222222222-222-22-2-22-2-2002200-2-20022000000-2-2200000000000000
χ2322222222-222-22-2-22-2-200-2-2002200-2-2000000-22200000000000000
χ2422222222-222-22-2-22-2-200-2-200-2-2002200000022-200000000000000
χ252-22-2-222-2-2222-2-22-2-2200000000000000000000002i−2i002-2002i−2i000
χ262-22-2-222-2-2222-2-22-2-2200000000000000000000002i−2i00-2200−2i2i000
χ272-22-2-222-2-2222-2-22-2-220000000000000000000000−2i2i002-200−2i2i000
χ282-22-2-222-2-2222-2-22-2-220000000000000000000000−2i2i00-22002i−2i000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-4-4-4-4440040-4-40000000000000002222−22−220000000000000000000
χ31444-4-4-4-4440040-4-4000000000000000−22−2222220000000000000000000
χ32444-4-4-4-44-400-404400000004i−4i00000000000000000000000000000
χ33444-4-4-4-44-400-40440000000−4i4i00000000000000000000000000000
χ3444-4-444-4-404-40400-400004-40000000000000000000000000000000
χ3544-4-444-4-404-40400-40000-440000000000000000000000000000000
χ3644-4-444-4-40-440-4004000000000000000000000000002i2−2i2000000000
χ3744-4-444-4-40-440-400400000000000000000000000000−2i22i2000000000
χ384-4444-4-4-4400-40-44000000000000000000000000000000022−2200000
χ394-4444-4-4-4400-40-440000000000000000000000000000000−222200000
χ404-4444-4-4-4-400404-40004-4000000000000000000000000000000000
χ414-4444-4-4-4-400404-4000-44000000000000000000000000000000000
χ424-44-4-444-4444-4-44-4-44-400000000000000000000000000000000000
χ434-44-4-444-44-4-4-444-44-4400000000000000000000000000000000000
χ444-44-4-444-4-4-4-444-4444-400000000000000000000000000000000000
χ454-4-44-44-4404-40-40040000000000000022−2222−220000000000000000000
χ464-4-44-44-4404-40-400400000000000000−2222−22220000000000000000000
χ474-4-44-44-440-440400-40000000000004i−4i00000000000000000000000
χ484-4-44-44-440-440400-4000000000000−4i4i00000000000000000000000
χ494-4-4-44-444000000000000000022−2222−22002-2-220000000000000000000
χ504-4-4-44-444000000000000000022−22−222200-222-20000000000000000000
χ514-4-4-44-4440000000000000000−222222−2200-222-20000000000000000000
χ524-4-4-44-4440000000000000000−2222−2222002-2-220000000000000000000
χ5388-88-8-88-8000000000000000000000000000000000000000000000

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