Finite Group Databasebeta

← Group #289441

Character table — Group #289441

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888824444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111-111-11111-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-1-1-1111111-11111-1-1111111-1-11111-1-1-1-1-111-1-1-1-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-1111111-11111-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-11
χ121111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1111-1
χ131111111111111111-1-1-1-1-1-111-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1
χ141111111111111111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1-11
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-11
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1111-1-111-1-11-1
χ17222222222-222-2-22-222-2-222-2-20000-222-2-2000000000000000000200-20000000000
χ18222222222-222-2-22-222-2-222-2-20000-2-2-222000000000000000000-20020000000000
χ19222222222-222-2-22-2-2-222-2-2-2-20000222-2-2000000000000000000-20020000000000
χ20222222222-222-2-22-2-2-222-2-2-2-200002-2-222000000000000000000200-20000000000
χ2122222222-22-2-222-2222-2-2-2-2-2-2222220000220000-2-2-2-20000000000000000000000
χ2222222222-22-2-222-2222-2-2-2-2-2-2-2-2-2-220000-2-2000022220000000000000000000000
χ2322222222-22-2-222-22-2-22222-2-22222-20000-2-20000-2-2220000000000000000000000
χ2422222222-22-2-222-22-2-22222-2-2-2-2-2-2-2000022000022-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2220000-2000000000000002i2i−2i−2i00000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2220000-200000000000000−2i−2i2i2i0000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222200002000000000000002i2i−2i−2i0000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222220000200000000000000−2i−2i2i2i00000000002i−2i000000
χ29222-2-2-2-220-200220-2002i−2i2i−2i0022-2-2000000022−2−2002i−2i0000i2i2−i2−i2000000002−2i2−i200
χ30222-2-2-2-220-200220-2002i−2i2i−2i0022-2-20000000−2−222002i−2i0000−i2−i2i2i200000000−22−i2i200
χ31222-2-2-2-220-200220-2002i−2i2i−2i00-2-222000000022−2−200−2i2i0000i2i2−i2−i200000000−22−i2i200
χ32222-2-2-2-220-200220-2002i−2i2i−2i00-2-2220000000−2−22200−2i2i0000−i2−i2i2i2000000002−2i2−i200
χ33222-2-2-2-220-200220-200−2i2i−2i2i0022-2-2000000022−2−200−2i2i0000−i2−i2i2i2000000002−2−i2i200
χ34222-2-2-2-220-200220-200−2i2i−2i2i0022-2-20000000−2−22200−2i2i0000i2i2−i2−i200000000−22i2−i200
χ35222-2-2-2-220-200220-200−2i2i−2i2i00-2-222000000022−2−2002i−2i0000−i2−i2i2i200000000−22i2−i200
χ36222-2-2-2-220-200220-200−2i2i−2i2i00-2-2220000000−2−222002i−2i0000i2i2−i2−i2000000002−2−i2i200
χ372-2-2-22-222222-22-2-2-20000002-2000000000002-22-200002i−2i2i−2i000002i−2i00000000000
χ382-2-2-22-222222-22-2-2-20000002-2000000000002-22-20000−2i2i−2i2i00000−2i2i00000000000
χ392-2-2-22-222222-22-2-2-20000002-200000000000-22-2200002i−2i2i−2i00000−2i2i00000000000
χ402-2-2-22-222222-22-2-2-20000002-200000000000-22-220000−2i2i−2i2i000002i−2i00000000000
χ412-2-2-22-222-2-2-22-22220000002-200000000000000000002-2-222-22-200002-200000000
χ422-2-2-22-222-2-2-22-22220000002-200000000000000000002-2-22-22-220000-2200000000
χ432-2-2-22-222-2-2-22-22220000002-20000000000000000000-222-22-22-20000-2200000000
χ442-2-2-22-222-2-2-22-22220000002-20000000000000000000-222-2-22-2200002-200000000
χ45444-4-4-4-440400-4-404004i−4i−4i4i0000000000000000000000000000000000000000000
χ46444-4-4-4-440400-4-40400−4i4i4i−4i0000000000000000000000000000000000000000000
χ4744-444-4-4-440-4-400400000000022−2222−220000000000022−22000000000000000000000000
χ4844-444-4-4-440-4-4004000000000−2222−222200000000000−2222000000000000000000000000
χ4944-444-4-4-4-404400-400000000022−2222−2200000000000−2222000000000000000000000000
χ5044-444-4-4-4-404400-4000000000−2222−22220000000000022−22000000000000000000000000
χ5144-4-4-444-4000000004i−4i00000022−22−2222000002i2−2i2000000000000000000000000000000
χ5244-4-4-444-4000000004i−4i000000−222222−2200000−2i22i2000000000000000000000000000000
χ5344-4-4-444-400000000−4i4i00000022−22−222200000−2i22i2000000000000000000000000000000
χ5444-4-4-444-400000000−4i4i000000−222222−22000002i2−2i2000000000000000000000000000000
χ554-44-444-4-440-4400-4000000000000004-40000000000000000000000000000000000
χ564-44-444-4-440-4400-400000000000000-440000000000000000000000000000000000
χ574-44-444-4-4-404-400400000000000000004i−4i00000000000000000000000000000000
χ584-44-444-4-4-404-40040000000000000000−4i4i00000000000000000000000000000000
χ594-4-44-44-440400-440-400000000000000000000000000000002i2−2i2−2i22i200000000000000
χ604-4-44-44-440400-440-40000000000000000000000000000000−2i22i22i2−2i200000000000000
χ614-4-44-44-440-4004-404000000000000000000022−22−222200000000000000000000000000
χ624-4-44-44-440-4004-4040000000000000000000−222222−2200000000000000000000000000
χ634-4-4-44-4444-44-4-44-44000000-4400000000000000000000000000000000000000000
χ644-4-4-44-444-44-444-44-4000000-4400000000000000000000000000000000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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