Finite Group Databasebeta

← Group #310246

Character table — Group #310246

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888222244448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-111111111111111-1-1-1-11-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111111111-1-11111-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11-111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-11111111-1-1-1
χ911111111111111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1
χ1111111111111111111-1-1-1-111111-1-111-1-111111111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1111-111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-111111-1-111-1
χ17222222222-2-22-2-222-22222-200002200-2-2000000220000-2-200000000-20000000000
χ18222222222-2-22-2-222-22222-20000-2-200-2-2000000-2-20000220000000020000000000
χ19222222222-2-22-2-222-2-2-2-2-2-20000220022000000-2-200002200000000-20000000000
χ20222222222-2-22-2-222-2-2-2-2-2-20000-2-20022000000220000-2-20000000020000000000
χ2122222222-222-222-2-2-20000-22222002200-2-2-2-2-2-2000000000000000002000000000
χ2222222222-222-222-2-2-20000-2222200-2-2002222-2-200000000000000000-2000000000
χ2322222222-222-222-2-2-20000-2-2-2-2-2002200-2-2222200000000000000000-2000000000
χ2422222222-222-222-2-2-20000-2-2-2-2-200-2-20022-2-222000000000000000002000000000
χ2522-22-2-22-2200200-2-202i2i−2i−2i022−2−22i−2i000000002−22-2i2i2−i2−i20022−2−200000000i2−i200000
χ2622-22-2-22-2200200-2-202i2i−2i−2i022−2−2−2i2i000000002−2-22i2i2−i2−i200−2−22200000000−i2i200000
χ2722-22-2-22-2200200-2-202i2i−2i−2i0−2−2222i−2i00000000−222-2−i2−i2i2i200−2−22200000000−i2i200000
χ2822-22-2-22-2200200-2-202i2i−2i−2i0−2−222−2i2i00000000−22-22−i2−i2i2i20022−2−200000000i2−i200000
χ2922-22-2-22-2200200-2-20−2i−2i2i2i022−2−22i−2i000000002−2-22−i2−i2i2i200−2−22200000000i2−i200000
χ3022-22-2-22-2200200-2-20−2i−2i2i2i022−2−2−2i2i000000002−22-2−i2−i2i2i20022−2−200000000−i2i200000
χ3122-22-2-22-2200200-2-20−2i−2i2i2i0−2−2222i−2i00000000−22-22i2i2−i2−i20022−2−200000000−i2i200000
χ3222-22-2-22-2200200-2-20−2i−2i2i2i0−2−222−2i2i00000000−222-2i2i2−i2−i200−2−22200000000i2−i200000
χ332-2222-2-2-2222-2-2-22-2-22i−2i2i−2i20000002i−2i2i−2i2i−2i00000000000000002-20000000000000
χ342-2222-2-2-2222-2-2-22-2-22i−2i2i−2i2000000−2i2i2i−2i−2i2i0000000000000000-220000000000000
χ352-2222-2-2-2222-2-2-22-2-2−2i2i−2i2i20000002i−2i−2i2i2i−2i0000000000000000-220000000000000
χ362-2222-2-2-2222-2-2-22-2-2−2i2i−2i2i2000000−2i2i−2i2i−2i2i00000000000000002-20000000000000
χ372-2222-2-2-22-2-2-2222-222i−2i2i−2i-200000000−2i2i0000000000000000000000002i−2i002-2000
χ382-2222-2-2-22-2-2-2222-222i−2i2i−2i-200000000−2i2i000000000000000000000000−2i2i00-22000
χ392-2222-2-2-22-2-2-2222-22−2i2i−2i2i-2000000002i−2i0000000000000000000000002i−2i00-22000
χ402-2222-2-2-22-2-2-2222-22−2i2i−2i2i-2000000002i−2i000000000000000000000000−2i2i002-2000
χ412-2222-2-2-2-2222-2-2-2220000-20000002i−2i00−2i2i0000002i−2i2i−2i000000002-200000000000
χ422-2222-2-2-2-2222-2-2-2220000-20000002i−2i00−2i2i000000−2i2i−2i2i00000000-2200000000000
χ432-2222-2-2-2-2222-2-2-2220000-2000000−2i2i002i−2i0000002i−2i2i−2i00000000-2200000000000
χ442-2222-2-2-2-2222-2-2-2220000-2000000−2i2i002i−2i000000−2i2i−2i2i000000002-200000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-44-4-404-404-4000000000000000000004i−4i00000000000000000000000000000
χ47444-4-44-4-404-404-400000000000000000000−4i4i00000000000000000000000000000
χ48444-4-44-4-40-440-440000000000000000000000000000000000000000000000002i2−2i20
χ49444-4-44-4-40-440-44000000000000000000000000000000000000000000000000−2i22i20
χ5044-44-4-44-4-400-400440000002222−22−220000000000−2222000000000000000000000000000
χ5144-44-4-44-4-400-40044000000−22−222222000000000022−22000000000000000000000000000
χ524-4444-4-4-4-4-4-4444-44-4000040000000000000000000000000000000000000000000
χ534-44-4-4-44404-40-44000000004-44-4000000000000000000000000000000000000000
χ544-44-4-4-44404-40-4400000000-44-44000000000000000000000000000000000000000
χ554-44-4-4-4440-4404-40000000000000000000000000000000022−2222−22000000000000000
χ564-44-4-4-4440-4404-400000000000000000000000000000000−2222−2222000000000000000
χ574-4-44-44-44400-400-4404-4-4400000000000000000000000000000000000000000000
χ584-4-44-44-44400-400-440-444-400000000000000000000000000000000000000000000
χ594-4-44-44-44-4004004-400000000000000000000000022−22−2222000000000000000000000
χ604-4-44-44-44-4004004-4000000000000000000000000−222222−22000000000000000000000
χ614-4-4-4444-40000000000000022−22−222200000000000000000022−222-2-22000000000000000
χ624-4-4-4444-40000000000000022−22−2222000000000000000000−2222-222-2000000000000000
χ634-4-4-4444-400000000000000−222222−2200000000000000000022−22-222-2000000000000000
χ644-4-4-4444-400000000000000−222222−22000000000000000000−22222-2-22000000000000000
χ6588-8-88-8-88000000000000000000000000000000000000000000000000000000000

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