Finite Group Databasebeta

← Group #119482

Character table — Group #119482

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444488888888888888881616161616161616161616161616161616161616
order12222222444444444424444444222244448888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ91111111111-1-1-1-1-111-1111-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i11-1-111-1-1ii−i−i
χ101111111111-1-1-1-1-111-1111-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−iiiii−i−i-1-111-1-111−i−iii
χ111111111111-1-1-1-1-111-1111-1-1-1-1-11111-1-1-1-1−i−i−i−iiiiiii−i−i−i−iii-1-111-1-111ii−i−i
χ121111111111-1-1-1-1-111-1111-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1−i−iii
χ131111111111-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iii−i−i−i−iii11-1-1-1-111−i−iii
χ141111111111-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii-1-11111-1-1ii−i−i
χ151111111111-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i-1-11111-1-1−i−iii
χ161111111111-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−iiiii−i−i11-1-1-1-111ii−i−i
χ1722222222-2-222222-2-222-2-2-2-22-2-20000000000000000000000002i−2i2i−2i00000000
χ1822222222-2-222222-2-222-2-2-2-22-2-2000000000000000000000000−2i2i−2i2i00000000
χ1922222222-2-2-2-2-2-2-2-2-2-22-2-222-2220000000000000000000000002i−2i−2i2i00000000
χ2022222222-2-2-2-2-2-2-2-2-2-22-2-222-222000000000000000000000000−2i2i2i−2i00000000
χ21222222-2-222222-2-2222-2-2-22-2-22-222-2-222-2-20000000000000000000000000000
χ22222222-2-222222-2-2222-2-2-22-2-22-2-2-222-2-2220000000000000000000000000000
χ23222222-2-222-2-2-22222-2-2-2-2-222-2222-2-2-2-2220000000000000000000000000000
χ24222222-2-222-2-2-22222-2-2-2-2-222-22-2-22222-2-20000000000000000000000000000
χ25222222-2-2-2-2222-2-2-2-22-222-22-2-2200000000000000000000000000002i−2i2i−2i0000
χ26222222-2-2-2-2222-2-2-2-22-222-22-2-220000000000000000000000000000−2i2i−2i2i0000
χ27222222-2-2-2-2-2-2-222-2-2-2-2222-222-200000000000000000000000000002i−2i−2i2i0000
χ28222222-2-2-2-2-2-2-222-2-2-2-2222-222-20000000000000000000000000000−2i2i2i−2i0000
χ292222-2-2222-222-2-2-22-2-2-22-22-22-22000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ302222-2-2222-222-2-2-22-2-2-22-22-22-2200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ312222-2-2222-2-2-22222-22-22-2-22-22-20000000022-2-2-2-22200000000000000000000
χ322222-2-2222-2-2-22222-22-22-2-22-22-200000000-2-22222-2-200000000000000000000
χ332222-2-222-2222-2-2-2-22-2-2-22-2222-200000000000000002i−2i2i−2i0000000000000000
χ342222-2-222-2222-2-2-2-22-2-2-22-2222-20000000000000000−2i2i−2i2i0000000000000000
χ352222-2-222-22-2-2222-222-2-222-2-2-2200000000000000002-2-220000000000000000
χ362222-2-222-22-2-2222-222-2-222-2-2-220000000000000000-222-20000000000000000
χ372222-2-2-2-22-222-2222-2-22-2222-2-2-2000000000000000000002i−2i2i−2i000000000000
χ382222-2-2-2-22-222-2222-2-22-2222-2-2-200000000000000000000−2i2i−2i2i000000000000
χ392222-2-2-2-22-2-2-22-2-22-222-22-2-2222000000000000000000002-2-22000000000000
χ402222-2-2-2-22-2-2-22-2-22-222-22-2-222200000000000000000000-222-2000000000000
χ412222-2-2-2-2-2222-222-22-222-2-2-2-222000000000000000000000000000000002-22-2
χ422222-2-2-2-2-2222-222-22-222-2-2-2-22200000000000000000000000000000000-22-22
χ432222-2-2-2-2-22-2-22-2-2-22222-2222-2-2000000000000000000000000000000002i−2i−2i2i
χ442222-2-2-2-2-22-2-22-2-2-22222-2222-2-200000000000000000000000000000000−2i2i2i−2i
χ4544-4-44-4004400000-4-4000000000004-400000000000000000000000000000000
χ4644-4-44-4004400000-4-400000000000-4400000000000000000000000000000000
χ4744-4-44-400-4-400000440000000004-40000000000000000000000000000000000
χ4844-4-44-400-4-40000044000000000-440000000000000000000000000000000000
χ4944-4-4-44004-400000-440000000000000004i−4i0000000000000000000000000000
χ5044-4-4-44004-400000-44000000000000000−4i4i0000000000000000000000000000
χ5144-4-4-4400-44000004-400000000000004i−4i000000000000000000000000000000
χ5244-4-4-4400-44000004-40000000000000−4i4i000000000000000000000000000000
χ534-4-44004-4000044-400-40000000000000000002i2−2i22i2−2i20000000000000000000000
χ544-4-44004-4000044-400-4000000000000000000−2i22i2−2i22i20000000000000000000000
χ554-4-44004-40000-4-4400400000000000000000022−22−22220000000000000000000000
χ564-4-44004-40000-4-44004000000000000000000−222222−220000000000000000000000
χ574-4-4400-4400004-4400-400000000000000002i2−2i200002i2−2i200000000000000000000
χ584-4-4400-4400004-4400-40000000000000000−2i22i20000−2i22i200000000000000000000
χ594-4-4400-440000-44-4004000000000000000022−220000−222200000000000000000000
χ604-4-4400-440000-44-40040000000000000000−2222000022−2200000000000000000000
χ618-88-80000008i−8i00000000000000000000000000000000000000000000000000
χ628-88-8000000−8i8i00000000000000000000000000000000000000000000000000

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