Finite Group Databasebeta

← Group #172134

Character table — Group #172134

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222244444444444488888888888888888888161616161616161616161616161616161616
order12222222444444444444444422444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1-1-111111111-111-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111
χ5111111111111111111111111-1-111-1-1-1-111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111
χ7111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-11-11-1111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-11-11-11-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-111-1-11-1-1-11111-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-11-111-1-1-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1111111-1-1-1-1-1-11-11111-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11111-1-11-111-1-11111-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-11-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111111-111-1-111-1-111-1-1-1-111
χ1722222222222222-2-2-2-222-2-2-2-200002200002200000000000-2-20000000000000
χ1822222222222222-2-2-2-222-2-2-2-20000-2-20000-2-200000000000220000000000000
χ19222222222222-2-222-2-2-2-222-2-2220000220000000000000-2-2000000000000000
χ20222222222222-2-222-2-2-2-222-2-2-2-20000-2-2000000000000022000000000000000
χ21222222222222-2-2-2-222-2-2-2-22200220000-2-2000000000020000-2000000000000
χ22222222222222-2-2-2-222-2-2-2-22200-2-20000220000000000-200002000000000000
χ2322222222-2-2-2-22222-2-2-2-2-2-22200220000220000000000-20000-2000000000000
χ2422222222-2-2-2-22222-2-2-2-2-2-22200-2-20000-2-20000000000200002000000000000
χ2522222222-2-2-2-222-2-222-2-222-2-2220000-2-20000000000000-22000000000000000
χ2622222222-2-2-2-222-2-222-2-222-2-2-2-200002200000000000002-2000000000000000
χ2722222222-2-2-2-2-2-2222222-2-2-2-20000220000-2-200000000000-220000000000000
χ2822222222-2-2-2-2-2-2222222-2-2-2-20000-2-2000022000000000002-20000000000000
χ29222-2-2-22-22i2i−2i−2i002i−2i00002-2002-200002i−2i0000i2i2−i2−i222−2−20000000000i2−i22−20000
χ30222-2-2-22-22i2i−2i−2i002i−2i00002-2002-200002i−2i0000−i2−i2i2i2−2−2220000000000−i2i2−220000
χ31222-2-2-22-22i2i−2i−2i002i−2i00002-200-220000−2i2i0000i2i2−i2−i222−2−20000000000−i2i2−220000
χ32222-2-2-22-22i2i−2i−2i002i−2i00002-200-220000−2i2i0000−i2−i2i2i2−2−2220000000000i2−i22−20000
χ33222-2-2-22-2−2i−2i2i2i00−2i2i00002-2002-20000−2i2i0000i2i2−i2−i2−2−2220000000000i2−i2−220000
χ34222-2-2-22-2−2i−2i2i2i00−2i2i00002-2002-20000−2i2i0000−i2−i2i2i222−2−20000000000−i2i22−20000
χ35222-2-2-22-2−2i−2i2i2i00−2i2i00002-200-2200002i−2i0000i2i2−i2−i2−2−2220000000000−i2i22−20000
χ36222-2-2-22-2−2i−2i2i2i00−2i2i00002-200-2200002i−2i0000−i2−i2i2i222−2−20000000000i2−i2−220000
χ372-2-222-22-22i−2i2i−2i2i−2i00002-2000000002i−2i00002-2i2−i2i2−i22−22−2000000000000002−2i2−i2
χ382-2-222-22-22i−2i2i−2i2i−2i00002-2000000002i−2i00002-2−i2i2−i2i2−22−2200000000000000−22−i2i2
χ392-2-222-22-22i−2i2i−2i2i−2i00002-200000000−2i2i0000-22i2−i2i2−i22−22−200000000000000−22−i2i2
χ402-2-222-22-22i−2i2i−2i2i−2i00002-200000000−2i2i0000-22−i2i2−i2i2−22−22000000000000002−2i2−i2
χ412-2-222-22-2−2i2i−2i2i−2i2i00002-2000000002i−2i0000-22i2−i2i2−i2−22−22000000000000002−2−i2i2
χ422-2-222-22-2−2i2i−2i2i−2i2i00002-2000000002i−2i0000-22−i2i2−i2i22−22−200000000000000−22i2−i2
χ432-2-222-22-2−2i2i−2i2i−2i2i00002-200000000−2i2i00002-2i2−i2i2−i2−22−2200000000000000−22i2−i2
χ442-2-222-22-2−2i2i−2i2i−2i2i00002-200000000−2i2i00002-2−i2i2−i2i22−22−2000000000000002−2−i2i2
χ45444-4-4-44-44i4i−4i−4i00−4i4i0000-440000000000000000000000000000000000000000
χ46444-4-4-44-4−4i−4i4i4i004i−4i0000-440000000000000000000000000000000000000000
χ4744-44-4-4-44000000000000004-4000000004i−4i0000000000000000000000000000
χ4844-44-4-4-44000000000000004-400000000−4i4i0000000000000000000000000000
χ4944-44-4-4-4400000000000000-44004i−4i0000000000000000000000000000000000
χ5044-44-4-4-4400000000000000-4400−4i4i0000000000000000000000000000000000
χ514-44-44-4-44000000004i−4i000000000000000000000000000000002i−2i2-200000000
χ524-44-44-4-44000000004i−4i00000000000000000000000000000000−2i2i-2200000000
χ534-44-44-4-4400000000−4i4i000000000000000000000000000000002i−2i-2200000000
χ544-44-44-4-4400000000−4i4i00000000000000000000000000000000−2i2i2-200000000
χ554-4-444-44-44i−4i4i−4i−4i4i0000-44000000000000000000000000000000000000000000
χ564-4-444-44-4−4i4i−4i4i4i−4i0000-44000000000000000000000000000000000000000000
χ574-4-4-4-44444-4-440000000000000000000000002-2-222-2-22000000000000000000
χ584-4-4-4-44444-4-44000000000000000000000000-222-2-222-2000000000000000000
χ594-4-4-4-4444-444-40000000000000000000000002-2-22-222-2000000000000000000
χ604-4-4-4-4444-444-4000000000000000000000000-222-22-2-22000000000000000000
χ6188-8-888-8-8000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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