Finite Group Databasebeta

← Group #309883

Character table — Group #309883

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-11111-1-111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11
χ911111111111111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11
χ1011111111111111111-1-1-1-1111111111-1-111-1-1111111-1-1-1-11111-11-1-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111-1-11111-1-1-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111111-111-1-111-1-111-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111
χ1722222222222-2-2-2-22-22222-200000000-2-200220022-2-200000000-200000000000000
χ1822222222222-2-2-2-22-22222-200000000-2-200-2-200-2-22200000000200000000000000
χ1922222222222-2-2-2-22-2-2-2-2-2-20000000022002200-2-22200000000-200000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-2000000002200-2-20022-2-200000000200000000000000
χ2122222222-2-2-22222-2-20000-2222222-2-2002200-2-20000000000000-20000000000000
χ2222222222-2-2-22222-2-20000-22222-2-22200-2-200-2-2000000000000020000000000000
χ2322222222-2-2-22222-2-20000-2-2-2-2-2222200-2-200220000000000000-20000000000000
χ2422222222-2-2-22222-2-20000-2-2-2-2-2-2-2-2-200220022000000000000020000000000000
χ2522-22-2-22-22-2-222-2-22-22i2i−2i−2i2000000002i−2i000000000000000000002i−2i000000002-20
χ2622-22-2-22-22-2-222-2-22-22i2i−2i−2i2000000002i−2i00000000000000000000−2i2i00000000-220
χ2722-22-2-22-22-2-222-2-22-2−2i−2i2i2i200000000−2i2i000000000000000000002i−2i00000000-220
χ2822-22-2-22-22-2-222-2-22-2−2i−2i2i2i200000000−2i2i00000000000000000000−2i2i000000002-20
χ2922-22-2-22-22-2-2-2-222222i2i−2i−2i-20000002i−2i−2i2i2i−2i000000000000000000002-2000000000
χ3022-22-2-22-22-2-2-2-222222i2i−2i−2i-2000000−2i2i−2i2i−2i2i00000000000000000000-22000000000
χ3122-22-2-22-22-2-2-2-22222−2i−2i2i2i-20000002i−2i2i−2i2i−2i00000000000000000000-22000000000
χ3222-22-2-22-22-2-2-2-22222−2i−2i2i2i-2000000−2i2i2i−2i−2i2i000000000000000000002-2000000000
χ3322-22-2-22-2-222-2-222-2-2000020000002i−2i00−2i2i0000000022-2-200000000002i−2i0000000
χ3422-22-2-22-2-222-2-222-2-2000020000002i−2i00−2i2i00000000-2-2220000000000−2i2i0000000
χ3522-22-2-22-2-222-2-222-2-200002000000−2i2i002i−2i0000000022-2-20000000000−2i2i0000000
χ3622-22-2-22-2-222-2-222-2-200002000000−2i2i002i−2i00000000-2-22200000000002i−2i0000000
χ372-2222-2-2-2-22-20000202i−2i2i−2i022−2−2000000002i−2i2−22-200i2−i2i2−i222−2−200000000i2−i200000
χ382-2222-2-2-2-22-20000202i−2i2i−2i022−2−200000000−2i2i2−2-2200i2−i2i2−i2−2−22200000000−i2i200000
χ392-2222-2-2-2-22-20000202i−2i2i−2i0−2−222000000002i−2i−222-200−i2i2−i2i2−2−22200000000−i2i200000
χ402-2222-2-2-2-22-20000202i−2i2i−2i0−2−22200000000−2i2i−22-2200−i2i2−i2i222−2−200000000i2−i200000
χ412-2222-2-2-2-22-2000020−2i2i−2i2i022−2−2000000002i−2i2−2-2200−i2i2−i2i2−2−22200000000i2−i200000
χ422-2222-2-2-2-22-2000020−2i2i−2i2i022−2−200000000−2i2i2−22-200−i2i2−i2i222−2−200000000−i2i200000
χ432-2222-2-2-2-22-2000020−2i2i−2i2i0−2−222000000002i−2i−22-2200i2−i2i2−i222−2−200000000−i2i200000
χ442-2222-2-2-2-22-2000020−2i2i−2i2i0−2−22200000000−2i2i−222-200i2−i2i2−i2−2−22200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-44000000000000002i2−2i22i2−2i20000000000000022−2200002i−2i2i−2i000000000000000
χ47444-4-4-4-44000000000000002i2−2i22i2−2i200000000000000−22220000−2i2i−2i2i000000000000000
χ48444-4-4-4-4400000000000000−2i22i2−2i22i20000000000000022−220000−2i2i−2i2i000000000000000
χ49444-4-4-4-4400000000000000−2i22i2−2i22i200000000000000−222200002i−2i2i−2i000000000000000
χ5044-44-4-44-4-44444-4-4-440000-40000000000000000000000000000000000000000000
χ514-4444-4-4-44-440000-40000002222−22−220000000000−2222000000000000000000000000000
χ524-4444-4-4-44-440000-4000000−22−222222000000000022−22000000000000000000000000000
χ534-44-4-444-40004-44-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ544-44-4-444-40004-44-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ554-44-4-444-4000-44-4400000004i−4i−4i4i000000000000000000000000000000000000000
χ564-44-4-444-4000-44-440000000−4i4i4i−4i000000000000000000000000000000000000000
χ574-4-44-44-4444-40000-4000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ584-4-44-44-4444-40000-400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ594-4-44-44-44-4-440000404-4-4400000000000000000000000000000000000000000000
χ604-4-44-44-44-4-44000040-444-400000000000000000000000000000000000000000000
χ614-4-4-44-4440004-4-44000000000004-40000000000000000000000000000000000000
χ624-4-4-44-4440004-4-4400000000000-440000000000000000000000000000000000000
χ634-4-4-44-444000-444-400000000000000000000000000000000000000000000022−22000
χ644-4-4-44-444000-444-4000000000000000000000000000000000000000000000−2222000
χ6588-8-888-8-8000000000000000000000000000000000000000000000000000000000

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