Finite Group Databasebeta

← Group #142425

Character table — Group #142425

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222222224444444422444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ92222222222222222-2-22222-2-200000000-2-20000000000000000
χ102222222222222222-2-2-2-2-2-2-2-200000000220000000000000000
χ11222222222222-2-2-2-22-200002-2000000220000-2-2000000000000
χ12222222222222-2-2-2-22-200002-2000000-2-2000022000000000000
χ13222222222222-2-2-2-2-220000-220000220000-2-200000000000000
χ14222222222222-2-2-2-2-220000-220000-2-200002200000000000000
χ15222-22-2-2-222-2-22-2-2200000000000000002-200000000i2i2−i2−i2i2i2−i2−i2
χ16222-22-2-2-222-2-22-2-2200000000000000002-200000000−i2−i2i2i2−i2−i2i2i2
χ17222-22-2-2-222-2-22-2-220000000000000000-2200000000i2i2−i2−i2−i2−i2i2i2
χ18222-22-2-2-222-2-22-2-220000000000000000-2200000000−i2−i2i2i2i2i2−i2−i2
χ192-2-2222-2-2-222-222-2-2002i2i−2i−2i000000000000000000002−22−2i2−i2i2−i2
χ202-2-2222-2-2-222-222-2-2002i2i−2i−2i00000000000000000000−22−22−i2i2−i2i2
χ212-2-2222-2-2-222-222-2-200−2i−2i2i2i000000000000000000002−22−2−i2i2−i2i2
χ222-2-2222-2-2-222-222-2-200−2i−2i2i2i00000000000000000000−22−22i2−i2i2−i2
χ232-2-2-22-222-22-222-22-2220000-2-20000000000000000002i−2i−2i2i0000
χ242-2-2-22-222-22-222-22-2220000-2-2000000000000000000−2i2i2i−2i0000
χ252-2-2-22-222-22-222-22-2-2-200002200000000000000000000002-2-22
χ262-2-2-22-222-22-222-22-2-2-20000220000000000000000000000-222-2
χ272-2-2-22-222-22-22-22-222-20000-220000000000000022-2-200000000
χ282-2-2-22-222-22-22-22-222-20000-2200000000000000-2-22200000000
χ292-2-2-22-222-22-22-22-22-2200002-22-22-20000000000000000000000
χ302-2-2-22-222-22-22-22-22-2200002-2-22-220000000000000000000000
χ3144444444-4-4-4-400000000000022-2-20000000000000000000000
χ3244444444-4-4-4-4000000000000-2-2220000000000000000000000
χ33444-44-4-4-444-4-4-444-40000000000000000000000000000000000
χ34444-44-4-4-4-4-444000000000000000000000000002i−2i2i−2i00000000
χ35444-44-4-4-4-4-44400000000000000000000000000−2i2i−2i2i00000000
χ3644-44-4-44-400000000002i−2i2i−2i000000002-2002i−2i00000000000000
χ3744-44-4-44-400000000002i−2i2i−2i00000000-2200−2i2i00000000000000
χ3844-44-4-44-40000000000−2i2i−2i2i000000002-200−2i2i00000000000000
χ3944-44-4-44-40000000000−2i2i−2i2i00000000-22002i−2i00000000000000
χ404-444-4-4-4400000000002-2-220000002i−2i0000002i−2i000000000000
χ414-444-4-4-4400000000002-2-22000000−2i2i000000−2i2i000000000000
χ424-444-4-4-440000000000-222-20000002i−2i000000−2i2i000000000000
χ434-444-4-4-440000000000-222-2000000−2i2i0000002i−2i000000000000
χ444-4-4444-4-44-4-44000000000000000000000000002i−2i−2i2i00000000
χ454-4-4444-4-44-4-4400000000000000000000000000−2i2i2i−2i00000000
χ464-4-4444-4-4-444-4-4-4440000000000000000000000000000000000
χ474-4-4-44-4444-44-40000000000002-2-220000000000000000000000
χ484-4-4-44-4444-44-4000000000000-222-20000000000000000000000
χ4988-8-8-88-88000000000000000000000000000000000000000000
χ508-88-8-888-8000000000000000000000000000000000000000000

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