Finite Group Databasebeta

← Group #171911

Character table — Group #171911

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222244444444444488888888888888888888161616161616161616161616161616161616
order12222222444422444444444422444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1111-1-1-111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-111-1-111-1-111111111-11-1-1-11-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1111-11-1-111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11-1-11111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-11-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-11-1-11111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-111111111-1-1-1-11-111-111-1-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1-1-1111111-1-1-1-1-11-1-11-11-11111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1-1-111-1-1-1-11111-11111-11-1-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-11-1-111111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111-1111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-11-1-111111-1-111-1-11111-1-1-1-1-1-11111-1-11111-11-1-111-1-1-1-111
χ1722222222222222-2-22-2-2-2-2-2-22000022002200000000000-2000-2000000000000
χ1822222222222222-2-22-2-2-2-2-2-220000-2-200-2-20000000000020002000000000000
χ19222222222222-2-222-2-2-2-2-222-200000022002200000000000000-2-20000000000
χ20222222222222-2-222-2-2-2-2-222-2000000-2-200-2-200000000000000220000000000
χ21222222222222-2-2-2-2-22222-2-2-222-2-20000000000000000-200020000000000000
χ22222222222222-2-2-2-2-22222-2-2-2-2-22200000000000000002000-20000000000000
χ2322222222-2-2-2-22222-2-2-222-2-2-222220000000000000000-2000-20000000000000
χ2422222222-2-2-2-22222-2-2-222-2-2-2-2-2-2-20000000000000000200020000000000000
χ2522222222-2-2-2-222-2-2-222-2-222-20000002200-2-2000000000000002-20000000000
χ2622222222-2-2-2-222-2-2-222-2-222-2000000-2-2002200000000000000-220000000000
χ2722222222-2-2-2-2-2-222222-2-2-2-2200002200-2-200000000000-20002000000000000
χ2822222222-2-2-2-2-2-222222-2-2-2-220000-2-20022000000000002000-2000000000000
χ2922-22-22-2-222-2-22-200-2000000200002i−2i002i−2i00i2i2−i2−i2i2i2−i2−i200000000002−22−20000
χ3022-22-22-2-222-2-22-200-2000000200002i−2i002i−2i00−i2−i2i2i2−i2−i2i2i20000000000−22−220000
χ3122-22-22-2-222-2-22-200-200000020000−2i2i00−2i2i00i2i2−i2−i2i2i2−i2−i20000000000−22−220000
χ3222-22-22-2-222-2-22-200-200000020000−2i2i00−2i2i00−i2−i2i2i2−i2−i2i2i200000000002−22−20000
χ3322-22-22-2-2-2-222-2200-2000000200002i−2i00−2i2i00i2i2−i2−i2−i2−i2i2i200000000002−2−220000
χ3422-22-22-2-2-2-222-2200-2000000200002i−2i00−2i2i00−i2−i2i2i2i2i2−i2−i20000000000−222−20000
χ3522-22-22-2-2-2-222-2200-200000020000−2i2i002i−2i00i2i2−i2−i2−i2−i2i2i20000000000−222−20000
χ3622-22-22-2-2-2-222-2200-200000020000−2i2i002i−2i00−i2−i2i2i2i2i2−i2−i200000000002−2−220000
χ372-2-222-22-22i−2i2i−2i002i−2i000002-200000002-2002i−2i2−22−2i2−i2i2−i2000000000000002−2i2−i2
χ382-2-222-22-22i−2i2i−2i002i−2i000002-200000002-2002i−2i−22−22−i2i2−i2i200000000000000−22−i2i2
χ392-2-222-22-22i−2i2i−2i002i−2i000002-20000000-2200−2i2i2−22−2i2−i2i2−i200000000000000−22−i2i2
χ402-2-222-22-22i−2i2i−2i002i−2i000002-20000000-2200−2i2i−22−22−i2i2−i2i2000000000000002−2i2−i2
χ412-2-222-22-2−2i2i−2i2i00−2i2i000002-200000002-200−2i2i2−22−2−i2i2−i2i2000000000000002−2−i2i2
χ422-2-222-22-2−2i2i−2i2i00−2i2i000002-200000002-200−2i2i−22−22i2−i2i2−i200000000000000−22i2−i2
χ432-2-222-22-2−2i2i−2i2i00−2i2i000002-20000000-22002i−2i2−22−2−i2i2−i2i200000000000000−22i2−i2
χ442-2-222-22-2−2i2i−2i2i00−2i2i000002-20000000-22002i−2i−22−22i2−i2i2−i2000000000000002−2−i2i2
χ45444-44-4-4-4000000000004-4000004-40000000000000000000000000000000000
χ46444-44-4-4-4000000000004-400000-440000000000000000000000000000000000
χ47444-44-4-4-400000000000-440004-4000000000000000000000000000000000000
χ48444-44-4-4-400000000000-44000-44000000000000000000000000000000000000
χ4944-44-44-4-444-4-4-44004000000-400000000000000000000000000000000000000
χ5044-44-44-4-4-4-4444-4004000000-400000000000000000000000000000000000000
χ514-444-4-4-444i−4i−4i4i0000000000000000000000002i−2i−2i2i-222-2000000000000000000
χ524-444-4-4-444i−4i−4i4i000000000000000000000000−2i2i2i−2i2-2-22000000000000000000
χ534-444-4-4-44−4i4i4i−4i0000000000000000000000002i−2i−2i2i2-2-22000000000000000000
χ544-444-4-4-44−4i4i4i−4i000000000000000000000000−2i2i2i−2i-222-2000000000000000000
χ554-44-4-444-40000000004-40000000000000000000000000002i−2i00002i−2i00000000
χ564-44-4-444-40000000004-4000000000000000000000000000−2i2i0000−2i2i00000000
χ574-44-4-444-4000000000-440000000000000000000000000002i−2i0000−2i2i00000000
χ584-44-4-444-4000000000-44000000000000000000000000000−2i2i00002i−2i00000000
χ594-4-444-44-44i−4i4i−4i00−4i4i00000-44000000000000000000000000000000000000000
χ604-4-444-44-4−4i4i−4i4i004i−4i00000-44000000000000000000000000000000000000000
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-8-8-888-88000000000000000000000000000000000000000000000000000000

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