Finite Group Databasebeta

← Group #328472

Character table — Group #328472

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444444444448888888822448888888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111111-1-1-1-1111-1-11-1-1111-111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ101111111111111-1-1-1-1111-1-11-1-1111-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11
χ111111111111111-1-1-1-1111-1-11-1-1111-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-11
χ121111111111111-1-1-1-1111-1-11-1-1111-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-11-1
χ131111111111111-1-1-1-1111-1-11-1-11-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-11111-1-1-11
χ141111111111111-1-1-1-1111-1-11-1-11-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-1111-1
χ151111111111111-1-1-1-1111-1-11-1-11-1-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-111-1-1111-1
χ161111111111111-1-1-1-1111-1-11-1-11-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-111-1-111-1-1-11
χ1722222222222-2-22222-2-2222-2-2-2-222-20000-2-2-2-20000220000000000000000000000
χ1822222222222-2-22222-2-2222-2-2-2-2-2-2-2000022220000-2-20000000000000000000000
χ1922222222222-2-2-2-2-2-2-2-22-2-2-222-22220000-2-2220000-2-20000000000000000000000
χ2022222222222-2-2-2-2-2-2-2-22-2-2-222-2-2-22000022-2-20000220000000000000000000000
χ2122222222-2-2-222222222-2-2-2-222-200-222220000-2-2-2-2000000000000000000000000
χ2222222222-2-2-222222222-2-2-2-222-200-2-2-2-2-200002222000000000000000000000000
χ2322222222-2-2-222-2-2-2-222-222-2-2-2-200222-2-20000-2-222000000000000000000000000
χ2422222222-2-2-222-2-2-2-222-222-2-2-2-2002-2-222000022-2-2000000000000000000000000
χ2522222222-2-2-2-2-22222-2-2-2-2-22-2-2200200000000000000000000002-22-20000000000
χ2622222222-2-2-2-2-22222-2-2-2-2-22-2-220020000000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200-200000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200-20000000000000000000000-222-20000000000
χ29222-22-2-2-20002-22i2i−2i−2i2-200002i−2i00002-22i−2i000000000022−2−2i2i2−i2−i2000000002−2i2−i200
χ30222-22-2-2-20002-22i2i−2i−2i2-200002i−2i00002-22i−2i0000000000−2−222−i2−i2i2i200000000−22−i2i200
χ31222-22-2-2-20002-22i2i−2i−2i2-200002i−2i0000-22−2i2i000000000022−2−2i2i2−i2−i200000000−22−i2i200
χ32222-22-2-2-20002-22i2i−2i−2i2-200002i−2i0000-22−2i2i0000000000−2−222−i2−i2i2i2000000002−2i2−i200
χ33222-22-2-2-20002-2−2i−2i2i2i2-20000−2i2i00002-2−2i2i000000000022−2−2−i2−i2i2i2000000002−2−i2i200
χ34222-22-2-2-20002-2−2i−2i2i2i2-20000−2i2i00002-2−2i2i0000000000−2−222i2i2−i2−i200000000−22i2−i200
χ35222-22-2-2-20002-2−2i−2i2i2i2-20000−2i2i0000-222i−2i000000000022−2−2−i2−i2i2i200000000−22i2−i200
χ36222-22-2-2-20002-2−2i−2i2i2i2-20000−2i2i0000-222i−2i0000000000−2−222i2i2−i2−i2000000002−2−i2i200
χ3722-2-2-22-2222-2002-22-200-22-2000000000002i−2i2i−2i0000002−22−22−22−20000i2−i2i2−i2000000
χ3822-2-2-22-2222-2002-22-200-22-2000000000002i−2i2i−2i000000−22−22−22−220000−i2i2−i2i2000000
χ3922-2-2-22-2222-2002-22-200-22-200000000000−2i2i−2i2i0000002−22−22−22−20000−i2i2−i2i2000000
χ4022-2-2-22-2222-2002-22-200-22-200000000000−2i2i−2i2i000000−22−22−22−220000i2−i2i2−i2000000
χ4122-2-2-22-2222-200-22-2200-2-22000000000002i−2i−2i2i0000002−22−2−22−220000i2−i2−i2i2000000
χ4222-2-2-22-2222-200-22-2200-2-22000000000002i−2i−2i2i000000−22−222−22−20000−i2i2i2−i2000000
χ4322-2-2-22-2222-200-22-2200-2-2200000000000−2i2i2i−2i0000002−22−2−22−220000−i2i2i2−i2000000
χ4422-2-2-22-2222-200-22-2200-2-2200000000000−2i2i2i−2i000000−22−222−22−20000i2−i2−i2i2000000
χ45444-44-4-4-4000-444i4i−4i−4i-440000−4i4i0000000000000000000000000000000000000000
χ46444-44-4-4-4000-44−4i−4i4i4i-4400004i−4i0000000000000000000000000000000000000000
χ4744-44-4-44-4000004i−4i−4i4i000000000000000000000000002-2-222i−2i−2i2i00000000000000
χ4844-44-4-44-4000004i−4i−4i4i00000000000000000000000000-222-2−2i2i2i−2i00000000000000
χ4944-44-4-44-400000−4i4i4i−4i000000000000000000000000002-2-22−2i2i2i−2i00000000000000
χ5044-44-4-44-400000−4i4i4i−4i00000000000000000000000000-222-22i−2i−2i2i00000000000000
χ5144-4-4-44-44-4-44004-44-4004-440000000000000000000000000000000000000000000
χ5244-4-4-44-44-4-4400-44-440044-40000000000000000000000000000000000000000000
χ534-44-4-444-44-4400000000-40000000000000000000004i−4i0000000000000000000000
χ544-44-4-444-44-4400000000-4000000000000000000000−4i4i0000000000000000000000
χ554-44-4-444-4-44-40000000040000004-40000000000000000000000000000000000000
χ564-44-4-444-4-44-4000000004000000-440000000000000000000000000000000000000
χ574-4-4444-4-44-4-4440000-4-4400-4004000000000000000000000000000000000000000
χ584-4-4444-4-44-4-4-4-4000044400400-4000000000000000000000000000000000000000
χ594-4-4444-4-4-444440000-4-4-400400-4000000000000000000000000000000000000000
χ604-4-4444-4-4-444-4-4000044-400-4004000000000000000000000000000000000000000
χ614-4-4-44-4440004-40000-44000000000000000000004-4000000000000000000000000
χ624-4-4-44-4440004-40000-4400000000000000000000-44000000000000000000000000
χ634-4-4-44-444000-4400004-40000000000000000004-400000000000000000000000000
χ644-4-4-44-444000-4400004-4000000000000000000-4400000000000000000000000000
χ658-888-8-8-88000000000000000000000000000000000000000000000000000000000

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