Finite Group Databasebeta

← Group #308566

Character table — Group #308566

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111111111111111-1-11-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-111111
χ71111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111111-1-111-1
χ911111111111111111-1-1-1-111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1111
χ1011111111111111111-1-1-1-111111-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111111-1-1-111-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1111-1-1-1-11111-1
χ172222222222-22-2-2-22-20000-22222002222-2-2000000-2-20000000000000-2000000000
χ182222222222-22-2-2-22-20000-2222200-2-2-2-222000000-2-200000000000002000000000
χ192222222222-22-2-2-22-20000-2-2-2-2-20022-2-2-2-20000002200000000000002000000000
χ202222222222-22-2-2-22-20000-2-2-2-2-200-2-22222000000220000000000000-2000000000
χ2122222222-2-22-2222-2-22222-20000-2-20000002222-2-2000000000000-2000000000000
χ2222222222-2-22-2222-2-22222-20000-2-2000000-2-2-2-2220000000000002000000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-200002200000022-2-222000000000000-2000000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-2000022000000-2-222-2-20000000000002000000000000
χ2522-222-2-2-2222-2-22-2-2222-2-2-200002-200000000000000000000002-20000002-200000
χ2622-222-2-2-2222-2-22-2-2222-2-2-200002-20000000000000000000000-22000000-2200000
χ2722-222-2-2-2222-2-22-2-22-2-222-20000-2200000000000000000000002-2000000-2200000
χ2822-222-2-2-2222-2-22-2-22-2-222-20000-220000000000000000000000-220000002-200000
χ2922-222-2-2-2-2-222-22-22-222-2-220000-222i−2i002i−2i00000000000000000002i−2i0000000000
χ3022-222-2-2-2-2-222-22-22-222-2-220000-22−2i2i00−2i2i0000000000000000000−2i2i0000000000
χ3122-222-2-2-2-2-222-22-22-2-2-222200002-22i−2i002i−2i0000000000000000000−2i2i0000000000
χ3222-222-2-2-2-2-222-22-22-2-2-222200002-2−2i2i00−2i2i00000000000000000002i−2i0000000000
χ3322-222-2-2-2-2-2-222-22220000-20000002i−2i00−2i2i0000000022-2-200000000002i−2i0000000
χ3422-222-2-2-2-2-2-222-22220000-20000002i−2i00−2i2i00000000-2-2220000000000−2i2i0000000
χ3522-222-2-2-2-2-2-222-22220000-2000000−2i2i002i−2i0000000022-2-20000000000−2i2i0000000
χ3622-222-2-2-2-2-2-222-22220000-2000000−2i2i002i−2i00000000-2-22200000000002i−2i0000000
χ372-222-22-2-200-20-222002-22-2022−2−2000000002i−2i2i−2i002−22−22−2i2i2−i2−i2000000000000i2−i20
χ382-222-22-2-200-20-222002-22-2022−2−200000000−2i2i−2i2i002−22−22−2−i2−i2i2i2000000000000−i2i20
χ392-222-22-2-200-20-222002-22-20−2−222000000002i−2i2i−2i00−22−22−22−i2−i2i2i2000000000000−i2i20
χ402-222-22-2-200-20-222002-22-20−2−22200000000−2i2i−2i2i00−22−22−22i2i2−i2−i2000000000000i2−i20
χ412-222-22-2-200-20-22200-22-22022−2−2000000002i−2i−2i2i002−2−22−22−i2−i2i2i2000000000000i2−i20
χ422-222-22-2-200-20-22200-22-22022−2−200000000−2i2i2i−2i002−2−22−22i2i2−i2−i2000000000000−i2i20
χ432-222-22-2-200-20-22200-22-220−2−222000000002i−2i−2i2i00−222−22−2i2i2−i2−i2000000000000−i2i20
χ442-222-22-2-200-20-22200-22-220−2−22200000000−2i2i2i−2i00−222−22−2−i2−i2i2i2000000000000i2−i20
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-444-404000-4000000000000004i−4i000000000000000000000000000000000
χ47444-4-4-4-444-404000-400000000000000−4i4i000000000000000000000000000000000
χ48444-4-4-4-44-440-400040000000000000000000000000000000000000000000022−22000
χ49444-4-4-4-44-440-4000400000000000000000000000000000000000000000000−2222000
χ5044-444-4-4-444-4-44-44-4-4000040000000000000000000000000000000000000000000
χ5144-4-4-444-44-40-400040000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ5244-4-4-444-44-40-40004000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5344-4-4-444-4-4404000-40000004-44-4000000000000000000000000000000000000000
χ5444-4-4-444-4-4404000-4000000-44-44000000000000000000000000000000000000000
χ554-444-44-4-400404-4-400000002222−22−2200000000000000−222200000000000000000000000
χ564-444-44-4-400404-4-40000000−22−2222220000000000000022−2200000000000000000000000
χ574-4-44-4-4440040-4-4400000000000000000000000000022−22−22220000000000000000000
χ584-4-44-4-4440040-4-44000000000000000000000000000−222222−220000000000000000000
χ594-4-44-4-44400-4044-4004-4-4400000000000000000000000000000000000000000000
χ604-4-44-4-44400-4044-400-444-400000000000000000000000000000000000000000000
χ614-4-4-444-440000000000000022−22−222200000000000022−220000002-2-22000000000000000
χ624-4-4-444-440000000000000022−22−2222000000000000−2222000000-222-2000000000000000
χ634-4-4-444-4400000000000000−222222−2200000000000022−22000000-222-2000000000000000
χ644-4-4-444-4400000000000000−222222−22000000000000−22220000002-2-22000000000000000
χ658-88-88-88-8000000000000000000000000000000000000000000000000000000000

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