Finite Group Databasebeta

← Group #266444

Character table — Group #266444

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444444444444444444444488888888888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111111-1-1-1-1
χ311111111111111111111111111-1-1111-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-111111111-11-1-11-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-111-111-11111-1-1-1-1
χ911111111111111111-1-1-1-1-1-11111111-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-1-111-1-111-1-1
χ1011111111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111-111-1-1-1-111
χ1111111111111111111-1-1-1-1-1-1111-1-111-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-11-1-111-1-111
χ1211111111111111111-1-1-1-1-1-1111-1-111-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1
χ1311111111111111111-1-1-1-1-1-11-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-1-1-111-1-111
χ1411111111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-11111-1-1
χ1511111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-1111111-1-111-1-1
χ1611111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11111-1-1111-1-1-1-111
χ1722222222222-2-2-2-22-222-2-222-2002200-2220000000000000000-2000000-200000000
χ1822222222222-2-2-2-22-222-2-222-200-2-200-2-2-200000000000000002000000200000000
χ1922222222222-2-2-2-22-2-2-222-2-2-20022002-2-20000000000000000-2000000200000000
χ2022222222222-2-2-2-22-2-2-222-2-2-200-2-20022200000000000000002000000-200000000
χ2122222222-2-2-22222-2-22222-2-2-22200-2-2-20000000000000000000200-200000000000
χ2222222222-2-2-22222-2-22222-2-2-2-2-20022-20000000000000000000-200200000000000
χ2322222222-2-2-22222-2-2-2-2-2-222-22200-2-220000000000000000000-200200000000000
χ2422222222-2-2-22222-2-2-2-2-2-222-2-2-2002220000000000000000000200-200000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-2-220000002000000000000000000000000002-22-20000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-2-22000000200000000000000000000000000-22-220000
χ2722222222-2-2-2-2-2-2-2-22-2-222222000000-2000000000000000000000000002-2-220000
χ2822222222-2-2-2-2-2-2-2-22-2-222222000000-200000000000000000000000000-222-20000
χ29222-2-22-2-222-22-22-2-22000000-22-2002-200022-2-2000000000000002-2000000000000
χ30222-2-22-2-222-22-22-2-22000000-22-2002-2000-2-22200000000000000-22000000000000
χ31222-2-22-2-222-22-22-2-22000000-2-2200-2200022-2-200000000000000-22000000000000
χ32222-2-22-2-222-22-22-2-22000000-2-2200-22000-2-222000000000000002-2000000000000
χ33222-2-22-2-2-2-222-22-22-200000022-200-2200000002i2i−2i−2i00000000000002i−2i000000000
χ34222-2-22-2-2-2-222-22-22-200000022-200-220000000−2i−2i2i2i0000000000000−2i2i000000000
χ35222-2-22-2-2-2-222-22-22-20000002-22002-200000002i2i−2i−2i0000000000000−2i2i000000000
χ36222-2-22-2-2-2-222-22-22-20000002-22002-20000000−2i−2i2i2i00000000000002i−2i000000000
χ3722-22-2-2-222-2-20000202-2002-20002i−2i0002i−2i2−22−22−22−2i2i2−i2−i2i2i2−i2−i20000000000000000
χ3822-22-2-2-222-2-20000202-2002-20002i−2i0002i−2i−22−22−22−22−i2−i2i2i2−i2−i2i2i20000000000000000
χ3922-22-2-2-222-2-20000202-2002-2000−2i2i000−2i2i2−22−22−22−2−i2−i2i2i2−i2−i2i2i20000000000000000
χ4022-22-2-2-222-2-20000202-2002-2000−2i2i000−2i2i−22−22−22−22i2i2−i2−i2i2i2−i2−i20000000000000000
χ4122-22-2-2-222-2-2000020-2200-220002i−2i000−2i2i2−22−2−22−22i2i2−i2−i2−i2−i2i2i20000000000000000
χ4222-22-2-2-222-2-2000020-2200-220002i−2i000−2i2i−22−222−22−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ4322-22-2-2-222-2-2000020-2200-22000−2i2i0002i−2i2−22−2−22−22−i2−i2i2i2i2i2−i2−i20000000000000000
χ4422-22-2-2-222-2-2000020-2200-22000−2i2i0002i−2i−22−222−22−2i2i2−i2−i2−i2−i2i2i20000000000000000
χ45444-4-44-4-444-4-44-44-4-4000000400000000000000000000000000000000000000000
χ46444-4-44-4-4-4-44-44-4444000000-400000000000000000000000000000000000000000
χ4744-44-4-4-44-4440000-404-400-44000000000000000000000000000000000000000000
χ4844-44-4-4-44-4440000-40-44004-4000000000000000000000000000000000000000000
χ4944-4-44-44-44-440000-40000000000000000022−22−22220000000000000000000000000000
χ5044-4-44-44-44-440000-400000000000000000−222222−220000000000000000000000000000
χ5144-4-44-44-4-44-4000040000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ5244-4-44-44-4-44-400004000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-44-44-4-44000000000004-4000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ544-44-44-4-44000000000004-400000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ554-44-44-4-4400000000000-44000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ564-44-44-4-4400000000000-4400000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ574-4-4444-4-400044-4-4000000000000000000000000000000000000000000000022−2200
χ584-4-4444-4-400044-4-40000000000000000000000000000000000000000000000−222200
χ594-4-4444-4-4000-4-4440000000000000000000000000000000000000000000000002i2−2i2
χ604-4-4444-4-4000-4-444000000000000000000000000000000000000000000000000−2i22i2
χ614-4-4-4-44440004-4-440000000000000000000000000022−22−222200000000000000000000
χ624-4-4-4-44440004-4-4400000000000000000000000000−222222−2200000000000000000000
χ634-4-4-4-4444000-444-400000000000000000000000000000022−22−22220000000000000000
χ644-4-4-4-4444000-444-4000000000000000000000000000000−222222−220000000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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