Finite Group Databasebeta

← Group #171899

Character table — Group #171899

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222244444444444488888888888888888888161616161616161616161616161616161616
order12222222222244444444444444444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-11-11-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111
χ5111111111111111111111111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-111-1-111-1-111111111-1-1-11-111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111
χ911111111-1-1-1-111-1-1-1-11-1-11111111-1-1-1-111-1-11111-1-1-1-11-1-111-111-1-111-1-111-1-1
χ1011111111-1-1-1-111-1-1-1-11-1-11111111-1-1-1-111-1-1-1-1-1-111111-1-111-1-1-111-1-111-1-111
χ1111111111-1-1-1-111-1-1-1-11-1-111111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-111
χ1211111111-1-1-1-111-1-1-1-11-1-111111-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1-1
χ1311111111-1-1-1-111-1-1-1-11-1-1111-1-11111-1-1-1-1111111-1-1-1-11-11-1-11-1-111-1-11111-1-1
χ1411111111-1-1-1-111-1-1-1-11-1-1111-1-11111-1-1-1-111-1-1-1-111111-11-1-1111-1-111-1-1-1-111
χ1511111111-1-1-1-111-1-1-1-11-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1111-1-111-1-1-1-111-1-111
χ1611111111-1-1-1-111-1-1-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-11111-1111-1-1-1-11111-1-111-1-1
χ172222222222222-222-2-2-2-2-22-2-200220022000000000000-2-20000000000000000
χ182222222222222-222-2-2-2-2-22-2-200-2-200-2-2000000000000220000000000000000
χ19222222222222-22-2-222-2-2-2-22-22200000000220000000000-20-20000000000000
χ20222222222222-22-2-222-2-2-2-22-2-2-200000000-2-200000000002020000000000000
χ21222222222222-2-2-2-2-2-2222-2-2200002200-2-2000000000000020-2000000000000
χ22222222222222-2-2-2-2-2-2222-2-220000-2-200220000000000000-202000000000000
χ2322222222-2-2-2-22-2-2-222-2222-2-2002200-2-2000000000000-220000000000000000
χ2422222222-2-2-2-22-2-2-222-2222-2-200-2-200220000000000002-20000000000000000
χ2522222222-2-2-2-2-2222-2-2-222-22-22200000000-2-2000000000020-20000000000000
χ2622222222-2-2-2-2-2222-2-2-222-22-2-2-200000000220000000000-2020000000000000
χ2722222222-2-2-2-2-2-222222-2-2-2-2200002200220000000000000-20-2000000000000
χ2822222222-2-2-2-2-2-222222-2-2-2-220000-2-200-2-20000000000000202000000000000
χ2922-22-22-2-222-2-20-2002-20000202i−2i000000002i−2i22−2−222−2−20000000000i2−i2i2−i20000
χ3022-22-22-2-222-2-20-2002-20000202i−2i000000002i−2i−2−222−2−2220000000000−i2i2−i2i20000
χ3122-22-22-2-222-2-20-2002-2000020−2i2i00000000−2i2i22−2−222−2−20000000000−i2i2−i2i20000
χ3222-22-22-2-222-2-20-2002-2000020−2i2i00000000−2i2i−2−222−2−2220000000000i2−i2i2−i20000
χ3322-22-22-2-2-2-2220-200-220000202i−2i00000000−2i2i22−2−2−2−2220000000000i2−i2−i2i20000
χ3422-22-22-2-2-2-2220-200-220000202i−2i00000000−2i2i−2−22222−2−20000000000−i2i2i2−i20000
χ3522-22-22-2-2-2-2220-200-22000020−2i2i000000002i−2i22−2−2−2−2220000000000−i2i2i2−i20000
χ3622-22-22-2-2-2-2220-200-22000020−2i2i000000002i−2i−2−22222−2−20000000000i2−i2−i2i20000
χ3722-2-22-22-22-22-2-202-200000200002i−2i002i−2i0000i2−i2i2−i2i2−i2i2−i2000000000000002−22−2
χ3822-2-22-22-22-22-2-202-200000200002i−2i002i−2i0000−i2i2−i2i2−i2i2−i2i200000000000000−22−22
χ3922-2-22-22-22-22-2-202-20000020000−2i2i00−2i2i0000i2−i2i2−i2i2−i2i2−i200000000000000−22−22
χ4022-2-22-22-22-22-2-202-20000020000−2i2i00−2i2i0000−i2i2−i2i2−i2i2−i2i2000000000000002−22−2
χ4122-2-22-22-2-22-22-20-2200000200002i−2i00−2i2i0000i2−i2i2−i2−i2i2−i2i2000000000000002−2−22
χ4222-2-22-22-2-22-22-20-2200000200002i−2i00−2i2i0000−i2i2−i2i2i2−i2i2−i200000000000000−222−2
χ4322-2-22-22-2-22-22-20-220000020000−2i2i002i−2i0000i2−i2i2−i2−i2i2−i2i200000000000000−222−2
χ4422-2-22-22-2-22-22-20-220000020000−2i2i002i−2i0000−i2i2−i2i2i2−i2i2−i2000000000000002−2−22
χ45444-4-4-4-444-4-440000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ46444-4-4-4-444-4-44000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ47444-4-4-4-44-444-40000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ48444-4-4-4-44-444-4000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ4944-44-44-4-444-4-40400-440000-4000000000000000000000000000000000000000
χ5044-44-44-4-4-4-44404004-40000-4000000000000000000000000000000000000000
χ5144-4-44-44-44-44-440-4400000-40000000000000000000000000000000000000000
χ5244-4-44-44-4-44-44404-400000-40000000000000000000000000000000000000000
χ534-4-444-4-44000000000040000-4000000004i−4i0000000000000000000000000000
χ544-4-444-4-44000000000040000-400000000−4i4i0000000000000000000000000000
χ554-4-444-4-440000000000-40000400004-400000000000000000000000000000000
χ564-4-444-4-440000000000-4000040000-4400000000000000000000000000000000
χ574-4-4-4-4444000000000004-4000000000000000000000000000002-22-200000000
χ584-4-4-4-4444000000000004-400000000000000000000000000000-22-2200000000
χ594-4-4-4-444400000000000-44000000000000000000000000000002-2-2200000000
χ604-4-4-4-444400000000000-4400000000000000000000000000000-222-200000000
χ618-888-8-88-8000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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