Finite Group Databasebeta

← Group #103806

Character table — Group #103806

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9222222222222-2-2-2-2-2-2-2-22000000002i2i−2i−2i00000000000000
χ10222222222222-2-2-2-2-2-2-2-2200000000−2i−2i2i2i00000000000000
χ112222222222-2-22-222-2-22-2-20000000000000000000000002-2
χ122222222222-2-22-222-2-22-2-2000000000000000000000000-22
χ132222222222-2-2-22-2-222-22-2000000000000000022-2-2000000
χ142222222222-2-2-22-2-222-22-20000000000000000-2-222000000
χ1522222222-2-22222-2-2-2-222-22200-2-200000000000000000000
χ1622222222-2-22222-2-2-2-222-2-2-2002200000000000000000000
χ1722222222-2-222-2-22222-2-2-200000000000022-2-20000000000
χ1822222222-2-222-2-22222-2-2-2000000000000-2-2220000000000
χ1922222222-2-2-2-22-2-2-2222-220000000000000000000022-2-200
χ2022222222-2-2-2-22-2-2-2222-2200000000000000000000-2-22200
χ2122222222-2-2-2-2-2222-2-2-222002200-2-2000000000000000000
χ2222222222-2-2-2-2-2222-2-2-22200-2-20022000000000000000000
χ232-2-2-222-22002-2220000-2-202i−2i000000i2−i2i2−i22−22−20000000000
χ242-2-2-222-22002-2220000-2-202i−2i000000−i2i2−i2i2−22−220000000000
χ252-2-2-222-22002-2220000-2-20−2i2i000000i2−i2i2−i2−22−220000000000
χ262-2-2-222-22002-2220000-2-20−2i2i000000−i2i2−i2i22−22−20000000000
χ272-2-2-222-22002-2-2-2000022000002-2002−2−222−2−220000000000
χ282-2-2-222-22002-2-2-2000022000002-200−222−2−222−20000000000
χ292-2-2-222-22002-2-2-200002200000-22002−2−22−222−20000000000
χ302-2-2-222-22002-2-2-200002200000-2200−222−22−2−220000000000
χ31444-44-4-4-40000004-400000000000000000000000002-22-200
χ32444-44-4-4-40000004-40000000000000000000000000-22-2200
χ33444-44-4-4-4000000-4400000000000000000000000002-2-2200
χ34444-44-4-4-4000000-440000000000000000000000000-222-200
χ3544-44-44-4-44-40000000000000000000000000000022−22000000
χ3644-44-44-4-44-400000000000000000000000000000−2222000000
χ3744-44-44-4-4-4400000000000000000000000000022−2200000000
χ3844-44-44-4-4-44000000000000000000000000000−222200000000
χ394-444-4-4-44000000004i−4i000002i−2i002-2000000000000000000
χ404-444-4-4-44000000004i−4i00000−2i2i00-22000000000000000000
χ414-444-4-4-4400000000−4i4i000002i−2i00-22000000000000000000
χ424-444-4-4-4400000000−4i4i00000−2i2i002-2000000000000000000
χ434-4-4-444-4400-444-40000-44000000000000000000000000000
χ444-4-4-444-4400-44-4400004-4000000000000000000000000000
χ4588-8-8-8-888000000000000000000000000000000000000000
χ468-88-8-888-8000000000000000000000000000000000000000
χ478-8-888-88-8000000000000000000000000000000000000000

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