Finite Group Databasebeta

← Group #329078

Character table — Group #329078

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444444444448888888822448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111-1-111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-111-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111111-1-1-1-1111-1-11-1-1111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1
χ101111111111111-1-1-1-1111-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ111111111111111-1-1-1-1111-1-11-1-1111-1-1-1-111-1-111-1-1-1111111-1-1-1-111-1-111-1-1-1-111-11
χ121111111111111-1-1-1-1111-1-11-1-1111-1-1-1-111-1-111-1-1-111-1-1-1-1111111-1-1-1-11111-1-11-1
χ131111111111111-1-1-1-1111-1-11-1-11-1-11111-1-111-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-11
χ141111111111111-1-1-1-1111-1-11-1-11-1-11111-1-111-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1111-1
χ151111111111111-1-1-1-1111-1-11-1-11-1-111-1-1-1-1-1-111-111111111-1-1-1-1-1-111-1-111-1-1111-1
χ161111111111111-1-1-1-1111-1-11-1-11-1-111-1-1-1-1-1-111-11111-1-1-1-11111-1-11111-1-111-1-1-11
χ1722222222222-2-22222-2-2222-2-2-2-2222200-2-20000-2-2-2000000000000000000000000
χ1822222222222-2-22222-2-2222-2-2-2-2-2-2-2-200220000-222000000000000000000000000
χ1922222222222-2-2-2-2-2-2-2-22-2-2-222-222-2-200-2-20000222000000000000000000000000
χ2022222222222-2-2-2-2-2-2-2-22-2-2-222-2-2-222002200002-2-2000000000000000000000000
χ2122222222-2-2-222222222-2-2-2-222-200002200-2-222-200-2-20000000000000000000000
χ2222222222-2-2-222222222-2-2-2-222-20000-2-20022-2-2-200220000000000000000000000
χ2322222222-2-2-222-2-2-2-222-222-2-2-2-200002200-2-2-2-2200220000000000000000000000
χ2422222222-2-2-222-2-2-2-222-222-2-2-2-20000-2-2002222200-2-20000000000000000000000
χ2522222222-2-2-2-2-22222-2-2-2-2-22-2-2200000000000020000000000002-22-20000000000
χ2622222222-2-2-2-2-22222-2-2-2-2-22-2-220000000000002000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000-20000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000-2000000000000-222-20000000000
χ29222-22-2-2-22-2-20022-2-20022-200000000002i−2i000002i−2i00i2i2−i2−i2i2i2−i2−i200002−22−2000000
χ30222-22-2-2-22-2-20022-2-20022-200000000002i−2i000002i−2i00−i2−i2i2i2−i2−i2i2i20000−22−22000000
χ31222-22-2-2-22-2-20022-2-20022-20000000000−2i2i00000−2i2i00i2i2−i2−i2i2i2−i2−i20000−22−22000000
χ32222-22-2-2-22-2-20022-2-20022-20000000000−2i2i00000−2i2i00−i2−i2i2i2−i2−i2i2i200002−22−2000000
χ33222-22-2-2-22-2-200-2-222002-2200000000002i−2i00000−2i2i00i2i2−i2−i2−i2−i2i2i200002−2−22000000
χ34222-22-2-2-22-2-200-2-222002-2200000000002i−2i00000−2i2i00−i2−i2i2i2i2i2−i2−i20000−222−2000000
χ35222-22-2-2-22-2-200-2-222002-220000000000−2i2i000002i−2i00i2i2−i2−i2−i2−i2i2i20000−222−2000000
χ36222-22-2-2-22-2-200-2-222002-220000000000−2i2i000002i−2i00−i2−i2i2i2i2i2−i2−i200002−2−22000000
χ3722-22-2-2-220002-22i−2i2i−2i2-200002i−2i000002-200002i−2i000002−22−2i2−i2i2−i2000000002−2i2−i200
χ3822-22-2-2-220002-22i−2i2i−2i2-200002i−2i000002-200002i−2i00000−22−22−i2i2−i2i200000000−22−i2i200
χ3922-22-2-2-220002-22i−2i2i−2i2-200002i−2i00000-220000−2i2i000002−22−2i2−i2i2−i200000000−22−i2i200
χ4022-22-2-2-220002-22i−2i2i−2i2-200002i−2i00000-220000−2i2i00000−22−22−i2i2−i2i2000000002−2i2−i200
χ4122-22-2-2-220002-2−2i2i−2i2i2-20000−2i2i000002-20000−2i2i000002−22−2−i2i2−i2i2000000002−2−i2i200
χ4222-22-2-2-220002-2−2i2i−2i2i2-20000−2i2i000002-20000−2i2i00000−22−22i2−i2i2−i200000000−22i2−i200
χ4322-22-2-2-220002-2−2i2i−2i2i2-20000−2i2i00000-2200002i−2i000002−22−2−i2i2−i2i200000000−22i2−i200
χ4422-22-2-2-220002-2−2i2i−2i2i2-20000−2i2i00000-2200002i−2i00000−22−22i2−i2i2−i2000000002−2−i2i200
χ45444-44-4-4-4-4440044-4-400-4-440000000000000000000000000000000000000000000
χ46444-44-4-4-4-44400-4-44400-44-40000000000000000000000000000000000000000000
χ4744-44-4-4-44000-444i−4i4i−4i-440000−4i4i0000000000000000000000000000000000000000
χ4844-44-4-4-44000-44−4i4i−4i4i-4400004i−4i0000000000000000000000000000000000000000
χ4944-4-4-444-4000004i−4i−4i4i000000000000000000000000002i−2i−2i2i-222-200000000000000
χ5044-4-4-444-4000004i−4i−4i4i00000000000000000000000000−2i2i2i−2i2-2-2200000000000000
χ5144-4-4-444-400000−4i4i4i−4i000000000000000000000000002i−2i−2i2i2-2-2200000000000000
χ5244-4-4-444-400000−4i4i4i−4i00000000000000000000000000−2i2i2i−2i-222-200000000000000
χ534-444-44-4-444-4440000-4-4-400-4004000000000000000000000000000000000000000
χ544-444-44-4-444-4-4-4000044-400400-4000000000000000000000000000000000000000
χ554-444-44-4-4-4-44440000-4-4400400-4000000000000000000000000000000000000000
χ564-444-44-4-4-4-44-4-4000044400-4004000000000000000000000000000000000000000
χ574-44-4-4-4444-4400000000-4000000004i−4i00000000000000000000000000000000000
χ584-44-4-4-4444-4400000000-400000000−4i4i00000000000000000000000000000000000
χ594-44-4-4-444-44-40000000040000004-40000000000000000000000000000000000000
χ604-44-4-4-444-44-4000000004000000-440000000000000000000000000000000000000
χ614-4-444-44-40004-40000-4400000000000000000000004i−4i0000000000000000000000
χ624-4-444-44-40004-40000-440000000000000000000000−4i4i0000000000000000000000
χ634-4-444-44-4000-4400004-40000000000000004i−4i00000000000000000000000000000
χ644-4-444-44-4000-4400004-4000000000000000−4i4i00000000000000000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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