Finite Group Databasebeta

← Group #484170

Character table — Group #484170

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111224488888888881616161616161616161611112244888888888816161616161616161616
order12222244224444444424448888882222224422444444442444888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-111-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1
χ31111111111-1-1-1-1-1-111111-1-1-111-1-11111111111-1-1-1-1-1-111111-1-1-111-1-1
χ41111111111-1-1-1-1-1-111-1-11-111-1-1111111111111-1-1-1-1-1-111-1-11-111-1-111
χ511111111-1-111-1-1111111-1-111-1-1-1-111111111-1-111-1-1111111-1-111-1-1-1-1
χ611111111-1-111-1-11111-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-11111
χ711111111-1-1-1-111-1-11111-11-1-1-1-11111111111-1-1-1-111-1-11111-11-1-1-1-111
χ811111111-1-1-1-111-1-111-1-1-111111-1-111111111-1-1-1-111-1-111-1-1-111111-1-1
χ922222222002200-2-2-2-2000000000022222222002200-2-2-2-20000000000
χ102222222200-2-20022-2-200000000002222222200-2-20022-2-20000000000
χ11222222-2-2000022002-2000-2000000222222-2-2000022002-2000-2000000
χ12222222-2-20000-2-2002-20002000000222222-2-20000-2-2002-20002000000
χ13222222-2-222000000-2200-20000000222222-2-222000000-2200-20000000
χ14222222-2-2-2-2000000-220020000000222222-2-2-2-2000000-220020000000
χ152-2-22-22-22002-20000000000002−22−22-2-22-22-22002-20000000000002−22−2
χ162-2-22-22-22002-2000000000000−22−222-2-22-22-22002-2000000000000−22−22
χ172-2-22-22-2200-220000000000002−2−222-2-22-22-2200-220000000000002−2−22
χ182-2-22-22-2200-22000000000000−222−22-2-22-22-2200-22000000000000−222−2
χ194444-4-40000000000002-2000000004444-4-40000000000002-200000000
χ204444-4-4000000000000-22000000004444-4-4000000000000-2200000000
χ214-44-400002-2002i−2i2i−2i0000000000004-44-400002-2002i−2i2i−2i000000000000
χ224-44-400002-200−2i2i−2i2i0000000000004-44-400002-200−2i2i−2i2i000000000000
χ234-44-40000-22002i−2i−2i2i0000000000004-44-40000-22002i−2i−2i2i000000000000
χ244-44-40000-2200−2i2i2i−2i0000000000004-44-40000-2200−2i2i2i−2i000000000000
χ254-4-444-400000000000000002-200004-4-444-400000000000000002-20000
χ264-4-444-40000000000000000-2200004-4-444-40000000000000000-220000
χ274-4-44-444-4000000000000000000004-4-44-444-400000000000000000000
χ2888-8-800000000000000000000000088-8-8000000000000000000000000
χ291111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ30111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ311111111111-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-111
χ321111111111-1-1-1-1-1-111-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-111-1-1
χ3311111111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11111
χ3411111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1
χ3511111111-1-1-1-111-1-11111-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-11111-1-1
χ3611111111-1-1-1-111-1-111-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1-1-1-111
χ3722222222002200-2-2-2-20000000000-2-2-2-2-2-2-2-200-2-20022220000000000
χ382222222200-2-20022-2-20000000000-2-2-2-2-2-2-2-2002200-2-2220000000000
χ39222222-2-2000022002-2000-2000000-2-2-2-2-2-2220000-2-200-220002000000
χ40222222-2-20000-2-2002-20002000000-2-2-2-2-2-22200002200-22000-2000000
χ41222222-2-222000000-2200-20000000-2-2-2-2-2-222-2-20000002-20020000000
χ42222222-2-2-2-2000000-220020000000-2-2-2-2-2-222220000002-200-20000000
χ432-2-22-22-22002-20000000000002−22−2-222-22-22-200-22000000000000−22−22
χ442-2-22-22-22002-2000000000000−22−22-222-22-22-200-220000000000002−22−2
χ452-2-22-22-2200-220000000000002−2−22-222-22-22-2002-2000000000000−222−2
χ462-2-22-22-2200-22000000000000−222−2-222-22-22-2002-20000000000002−2−22
χ474444-4-40000000000002-200000000-4-4-4-444000000000000-2200000000
χ484444-4-4000000000000-2200000000-4-4-4-4440000000000002-200000000
χ494-44-400002-2002i−2i2i−2i000000000000-44-440000-2200−2i2i−2i2i000000000000
χ504-44-400002-200−2i2i−2i2i000000000000-44-440000-22002i−2i2i−2i000000000000
χ514-44-40000-22002i−2i−2i2i000000000000-44-4400002-200−2i2i2i−2i000000000000
χ524-44-40000-2200−2i2i2i−2i000000000000-44-4400002-2002i−2i−2i2i000000000000
χ534-4-444-400000000000000002-20000-444-4-440000000000000000-220000
χ544-4-444-40000000000000000-220000-444-4-4400000000000000002-20000
χ554-4-44-444-400000000000000000000-444-44-4-4400000000000000000000
χ5688-8-8000000000000000000000000-8-888000000000000000000000000

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