Finite Group Databasebeta

← Group #305716

Character table — Group #305716

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11111-1-111-1
χ71111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11
χ911111111111111111-1-1-1-11111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-111-1-1111111-1-1-1-1111111-1-11-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111111-1-11-1-1-1-1-1-1111
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111-1-1-1111111-1-1-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-111111-1-111-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-111-1-1-111-1-1111
χ172222222222-2-22-2-22-22222-2000000-2-200220022000000-2-2000000000-2000000000
χ182222222222-2-22-2-22-22222-2000000-2-200-2-200-2-2000000220000000002000000000
χ192222222222-2-22-2-22-2-2-2-2-2-200000022002200-2-200000022000000000-2000000000
χ202222222222-2-22-2-22-2-2-2-2-2-20000002200-2-20022000000-2-20000000002000000000
χ2122222222-2-222-222-2-20000-222222200-2-2002200-2-2000000000000-2000000000000
χ2222222222-2-222-222-2-20000-22222-2-2002200-2-200-2-20000000000002000000000000
χ2322222222-2-222-222-2-20000-2-2-2-2-222002200-2-20022000000000000-2000000000000
χ2422222222-2-222-222-2-20000-2-2-2-2-2-2-200-2-2002200220000000000002000000000000
χ2522-22-2-2-222-200200-202i2i−2i−2i022−2−20000002i−2i002-22−2i2i2−i2−i20022−2−200000000i2−i200000
χ2622-22-2-2-222-200200-202i2i−2i−2i022−2−2000000−2i2i00-222−2i2i2−i2−i200−2−22200000000−i2i200000
χ2722-22-2-2-222-200200-202i2i−2i−2i0−2−2220000002i−2i002-2−22−i2−i2i2i200−2−22200000000−i2i200000
χ2822-22-2-2-222-200200-202i2i−2i−2i0−2−222000000−2i2i00-22−22−i2−i2i2i20022−2−200000000i2−i200000
χ2922-22-2-2-222-200200-20−2i−2i2i2i022−2−20000002i−2i00-222−2−i2−i2i2i200−2−22200000000i2−i200000
χ3022-22-2-2-222-200200-20−2i−2i2i2i022−2−2000000−2i2i002-22−2−i2−i2i2i20022−2−200000000−i2i200000
χ3122-22-2-2-222-200200-20−2i−2i2i2i0−2−2220000002i−2i00-22−22i2i2−i2−i20022−2−200000000−i2i200000
χ3222-22-2-2-222-200200-20−2i−2i2i2i0−2−222000000−2i2i002-2−22i2i2−i2−i200−2−22200000000i2−i200000
χ332-2-222-22-22222-2-2-2-222-22-2-20000002-22-2002-2000000000000002-20000000000000
χ342-2-222-22-22222-2-2-2-222-22-2-20000002-2-2200-2200000000000000-220000000000000
χ352-2-222-22-22222-2-2-2-22-22-22-2000000-222-2002-200000000000000-220000000000000
χ362-2-222-22-22222-2-2-2-22-22-22-2000000-22-2200-22000000000000002-20000000000000
χ372-2-222-22-222-2-2-222-2-22-22-22000000-22000000000000000000000000002i−2i00002i−2i0
χ382-2-222-22-222-2-2-222-2-22-22-22000000-2200000000000000000000000000−2i2i0000−2i2i0
χ392-2-222-22-222-2-2-222-2-2-22-2220000002-2000000000000000000000000002i−2i0000−2i2i0
χ402-2-222-22-222-2-2-222-2-2-22-2220000002-200000000000000000000000000−2i2i00002i−2i0
χ412-2-222-22-2-2-2222-2-22-200002000000002-200-2200002i−2i2i−2i0000000002i−2i0000000000
χ422-2-222-22-2-2-2222-2-22-200002000000002-200-220000−2i2i−2i2i000000000−2i2i0000000000
χ432-2-222-22-2-2-2222-2-22-20000200000000-22002-200002i−2i2i−2i000000000−2i2i0000000000
χ442-2-222-22-2-2-2222-2-22-20000200000000-22002-20000−2i2i−2i2i0000000002i−2i0000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-44-4-4-4004-404-400000000000000000000000000000000000000000000022−22000
χ47444-44-4-4-4004-404-4000000000000000000000000000000000000000000000−2222000
χ48444-44-4-4-400-440-44000000000004-40000000000000000000000000000000000000
χ49444-44-4-4-400-440-4400000000000-440000000000000000000000000000000000000
χ5044-44-4-4-44-4400-40040000002222−22−22000000000000−22220000000000000000000000000
χ5144-44-4-4-44-4400-4004000000−22−22222200000000000022−220000000000000000000000000
χ524-444-44-4-44-400-400404i−4i−4i4i00000000000000000000000000000000000000000000
χ534-444-44-4-44-400-40040−4i4i4i−4i00000000000000000000000000000000000000000000
χ544-444-44-4-4-4400400-400000000000000000000000022−22−2222000000000000000000000
χ554-444-44-4-4-4400400-4000000000000000000000000−222222−22000000000000000000000
χ564-44-4-4-4440000000000000022−2222−2200000000000000000022−222-22-2000000000000000
χ574-44-4-4-4440000000000000022−2222−22000000000000000000−2222-22-22000000000000000
χ584-44-4-4-44400000000000000−2222−222200000000000000000022−22-22-22000000000000000
χ594-44-4-4-44400000000000000−2222−2222000000000000000000−22222-22-2000000000000000
χ604-4-444-44-4-4-4-4-4444440000-40000000000000000000000000000000000000000000
χ614-4-4-444-44004-40-44000000000000000000000000000000022−22−2222000000000000000
χ624-4-4-444-44004-40-440000000000000000000000000000000−222222−22000000000000000
χ634-4-4-444-4400-4404-400000004-4-44000000000000000000000000000000000000000
χ644-4-4-444-4400-4404-40000000-444-4000000000000000000000000000000000000000
χ6588-8-8-888-8000000000000000000000000000000000000000000000000000000000

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