Finite Group Databasebeta

← Group #279445

Character table — Group #279445

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-111111111-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-111111111-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-11
χ111111111111-1-1-1-111111111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-11111-1-1-11
χ121111111111-1-1-1-111111111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1111-1
χ131111111111-1-1-1-111111111-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-11
χ141111111111-1-1-1-111111111-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-11-1
χ151111111111-1-1-1-111111111-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-111111111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-11
χ1722222222222222-22-2-2-22-2-222-2-2-200000000000022220000-2-2-2-200000000000000
χ1822222222222222-22-2-2-22-2-222-2-2-2000000000000-2-2-2-20000222200000000000000
χ192222222222-2-2-2-2-22-2-2-22-2-2-2-222200000000000022-2-20000-2-22200000000000000
χ202222222222-2-2-2-2-22-2-2-22-2-2-2-2222000000000000-2-222000022-2-200000000000000
χ2122222222-2-222222-2222-2-2-2-2-222-22222-2-2-2-2000000000000000000000000000000
χ2222222222-2-222222-2222-2-2-2-2-222-2-2-2-2-22222000000000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-222-2-2-2-22000000000000000000000000000000002i−2i2i−2i00
χ2422222222-2-22222-2-2-2-2-2-222-2-2-2-2200000000000000000000000000000000−2i2i−2i2i00
χ2522222222-2-2-2-2-2-22-2222-2-2-222-2-2222-2-2-2-222000000000000000000000000000000
χ2622222222-2-2-2-2-2-22-2222-2-2-222-2-22-2-22222-2-2000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000000000000000000000000000002i−2i−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000000000000000000000000000−2i2i2i−2i00
χ29222-2-2-22-22200002-22-2-2-22-200000002-2002-222-2-2000000000000002-20000000000
χ30222-2-2-22-22200002-22-2-2-22-200000002-2002-2-2-22200000000000000-220000000000
χ31222-2-2-22-22200002-22-2-2-22-20000000-2200-2222-2-200000000000000-220000000000
χ32222-2-2-22-22200002-22-2-2-22-20000000-2200-22-2-222000000000000002-20000000000
χ33222-2-2-22-2-2-20000222-2-22-2200000002-200-22000000002i2i−2i−2i00002i−2i000000000000
χ34222-2-2-22-2-2-20000222-2-22-2200000002-200-2200000000−2i−2i2i2i0000−2i2i000000000000
χ35222-2-2-22-2-2-20000222-2-22-220000000-22002-2000000002i2i−2i−2i0000−2i2i000000000000
χ36222-2-2-22-2-2-20000222-2-22-220000000-22002-200000000−2i−2i2i2i00002i−2i000000000000
χ3722-2-222-2-22-222-2-20-20002002-2000000000002−22−22i−2i2i−2i2−22−200000000i2−i2i2−i2000000
χ3822-2-222-2-22-222-2-20-20002002-2000000000002−22−2−2i2i−2i2i2−22−200000000−i2i2−i2i2000000
χ3922-2-222-2-22-222-2-20-20002002-200000000000−22−222i−2i2i−2i−22−2200000000−i2i2−i2i2000000
χ4022-2-222-2-22-222-2-20-20002002-200000000000−22−22−2i2i−2i2i−22−2200000000i2−i2i2−i2000000
χ4122-2-222-2-22-2-2-2220-2000200-22000000000002−22−22i−2i−2i2i−22−2200000000i2−i2−i2i2000000
χ4222-2-222-2-22-2-2-2220-2000200-22000000000002−22−2−2i2i2i−2i−22−2200000000−i2i2i2−i2000000
χ4322-2-222-2-22-2-2-2220-2000200-2200000000000−22−222i−2i−2i2i2−22−200000000−i2i2i2−i2000000
χ4422-2-222-2-22-2-2-2220-2000200-2200000000000−22−22−2i2i2i−2i2−22−200000000i2−i2−i2i2000000
χ45444-4-4-44-4440000-4-4-444-4-440000000000000000000000000000000000000000000
χ46444-4-4-44-4-4-40000-44-44444-40000000000000000000000000000000000000000000
χ4744-44-4-4-444-4000004000-400000000000000022−22−222200000000000000000000000000
χ4844-44-4-4-444-4000004000-4000000000000000−222222−2200000000000000000000000000
χ4944-44-4-4-44-4400000-40004000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5044-44-4-4-44-4400000-4000400000000000000000000000−2i22i22i2−2i2000000000000000000
χ5144-4-444-4-4-4444-4-404000-400-4400000000000000000000000000000000000000000
χ5244-4-444-4-4-44-4-44404000-4004-400000000000000000000000000000000000000000
χ534-44-44-4-44004i−4i4i−4i00000000000000000000000000000000022−222i2−2i200000000000000
χ544-44-44-4-44004i−4i4i−4i000000000000000000000000000000000−2222−2i22i200000000000000
χ554-44-44-4-4400−4i4i−4i4i00000000000000000000000000000000022−22−2i22i200000000000000
χ564-44-44-4-4400−4i4i−4i4i000000000000000000000000000000000−22222i2−2i200000000000000
χ574-4-444-44-4004i−4i−4i4i40-4-44000004i−4i000000000000000000000000000000000000000
χ584-4-444-44-4004i−4i−4i4i-4044-400000−4i4i000000000000000000000000000000000000000
χ594-4-444-44-400−4i4i4i−4i40-4-4400000−4i4i000000000000000000000000000000000000000
χ604-4-444-44-400−4i4i4i−4i-4044-4000004i−4i000000000000000000000000000000000000000
χ614-4-4-4-444400000040-44-4000000004i−4i000000000000000000000000000000000000
χ624-4-4-4-444400000040-44-400000000−4i4i000000000000000000000000000000000000
χ634-4-4-4-4444000000-404-440000000000004-400000000000000000000000000000000
χ644-4-4-4-4444000000-404-44000000000000-4400000000000000000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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