Finite Group Databasebeta

← Group #171779

Character table — Group #171779

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222244444444444488888888888888888888161616161616161616161616161616161616
order12222222444444444444444422444444444488888888222444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1
χ5111111111111111111111111-1-1-1-111-1-111-1-111111111111-1-11-1-111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111
χ7111111111111111111111111-1-1-1-1-1-111-1-11111111111-1-1-111-1-1-1-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-11111
χ911111111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-11-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-111111-1-11-1-1-1111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1111-1-11111-1-1
χ1211111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-111-111-11-1-111-1-1-1-111
χ1311111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1111111-1-1-1-1111-11-11-1-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-111111-1-1-11-11-11111-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-11111-1-1-1-1-1-1-11-111-11111-1-1-1-111
χ1611111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-11111-1111-111-1-1-1-1-11111-1-1
χ1722222222222222-2-22-2-2-2-2-22-200002200-2-20000000000-200002000000000000
χ1822222222222222-2-22-2-2-2-2-22-20000-2-20022000000000020000-2000000000000
χ19222222222222-2-222-2-2-2-222-2-222220000000000000000000000-2-20000000000
χ20222222222222-2-222-2-2-2-222-2-2-2-2-2-20000000000000000000000220000000000
χ21222222222222-2-2-2-2-2222-2-2-2200000022002200000000000-2-20000000000000
χ22222222222222-2-2-2-2-2222-2-2-22000000-2-200-2-200000000000220000000000000
χ2322222222-2-2-2-22222-22-2-2-2-2-220000002200-2-200000000000-220000000000000
χ2422222222-2-2-2-22222-22-2-2-2-2-22000000-2-20022000000000002-20000000000000
χ2522222222-2-2-2-222-2-2-2-22222-2-222-2-200000000000000000000002-20000000000
χ2622222222-2-2-2-222-2-2-2-22222-2-2-2-2220000000000000000000000-220000000000
χ2722222222-2-2-2-2-2-2222-222-2-22-200002200220000000000-20000-2000000000000
χ2822222222-2-2-2-2-2-2222-222-2-22-20000-2-200-2-20000000000200002000000000000
χ2922-22-2-22-22i2i−2i−2i002i−2i00002-2002-22i−2i0000000022−2−2i2i2−i2−i2000000000000002−2i2−i2
χ3022-22-2-22-22i2i−2i−2i002i−2i00002-2002-22i−2i00000000−2−222−i2−i2i2i200000000000000−22−i2i2
χ3122-22-2-22-22i2i−2i−2i002i−2i00002-200-22−2i2i0000000022−2−2i2i2−i2−i200000000000000−22−i2i2
χ3222-22-2-22-22i2i−2i−2i002i−2i00002-200-22−2i2i00000000−2−222−i2−i2i2i2000000000000002−2i2−i2
χ3322-22-2-22-2−2i−2i2i2i00−2i2i00002-2002-2−2i2i0000000022−2−2−i2−i2i2i2000000000000002−2−i2i2
χ3422-22-2-22-2−2i−2i2i2i00−2i2i00002-2002-2−2i2i00000000−2−222i2i2−i2−i200000000000000−22i2−i2
χ3522-22-2-22-2−2i−2i2i2i00−2i2i00002-200-222i−2i0000000022−2−2−i2−i2i2i200000000000000−22i2−i2
χ3622-22-2-22-2−2i−2i2i2i00−2i2i00002-200-222i−2i00000000−2−222i2i2−i2−i2000000000000002−2−i2i2
χ372-2-2-2-22222-22-200000-22-200020000002-2002-22−22−22−22−200000000002−22−20000
χ382-2-2-2-22222-22-200000-22-200020000002-2002-2−22−22−22−220000000000−22−220000
χ392-2-2-2-22222-22-200000-22-20002000000-2200-222−22−22−22−20000000000−22−220000
χ402-2-2-2-22222-22-200000-22-20002000000-2200-22−22−22−22−2200000000002−22−20000
χ412-2-2-2-2222-22-2200000-2-2200020000002-200-222−22−2−22−2200000000002−2−220000
χ422-2-2-2-2222-22-2200000-2-2200020000002-200-22−22−222−22−20000000000−222−20000
χ432-2-2-2-2222-22-2200000-2-220002000000-22002-22−22−2−22−220000000000−222−20000
χ442-2-2-2-2222-22-2200000-2-220002000000-22002-2−22−222−22−200000000002−2−220000
χ4544-44-4-44-44i4i−4i−4i00−4i4i0000-440000000000000000000000000000000000000000
χ4644-44-4-44-4−4i−4i4i4i004i−4i0000-440000000000000000000000000000000000000000
χ4744-4-44-4-4400000000400000-4000004i−4i00000000000000000000000000000000
χ4844-4-44-4-4400000000400000-400000−4i4i00000000000000000000000000000000
χ4944-4-44-4-4400000000-40000040000000004-40000000000000000000000000000
χ5044-4-44-4-4400000000-4000004000000000-440000000000000000000000000000
χ514-44-44-44-44i−4i−4i4i0000000000000000000000002-2-222i−2i−2i2i000000000000000000
χ524-44-44-44-44i−4i−4i4i000000000000000000000000-222-2−2i2i2i−2i000000000000000000
χ534-44-44-44-4−4i4i4i−4i0000000000000000000000002-2-22−2i2i2i−2i000000000000000000
χ544-44-44-44-4−4i4i4i−4i000000000000000000000000-222-22i−2i−2i2i000000000000000000
χ554-4-4444-4-400004i−4i00000000000000000000000000000002-2000002i−2i00000000
χ564-4-4444-4-400004i−4i0000000000000000000000000000000-2200000−2i2i00000000
χ574-4-4444-4-40000−4i4i00000000000000000000000000000002-200000−2i2i00000000
χ584-4-4444-4-40000−4i4i0000000000000000000000000000000-22000002i−2i00000000
χ594-4-4-4-44444-44-4000004-44000-400000000000000000000000000000000000000
χ604-4-4-4-4444-44-440000044-4000-400000000000000000000000000000000000000
χ61888-8-88-8-8000000000000000000000000000000000000000000000000000000
χ628-888-8-8-88000000000000000000000000000000000000000000000000000000

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