Finite Group Databasebeta

← Group #491109

Character table — Group #491109

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222224444444444444444444444444888888888888888883232323232323232
order1222444488882224444448888888816161616161616162488816161616161616161616161622448888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ511111111111111-111-11-1-1111111-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-111-1
χ611111111111111-111-11-1-1111111-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-11
χ711111111111111-111-11-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-111111-1-11-11-11
χ811111111111111-111-11-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-111-11-11-1
χ9111111111111-1-11-1-1111111-1-1-1-11111111111-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ10111111111111-1-11-1-1111111-1-1-1-11111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ11111111111111-1-11-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111-11-1-1-111
χ12111111111111-1-11-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-11-1111-1-1
χ13111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-1111111-1-11-1-11
χ14111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-11111-1-111-111-1
χ15111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1111111-111-1-1111111-1-1-1-11-1-111-11-1
χ16111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1111111-111-1-1111111-1-1-1-1-111-1-11-11
χ1722222222-2-2-2-2222222222-2-2-2-2-2-2-2-20000000022-2-2-200000000000000000000
χ1822222222-2-2-2-222-222-22-2-2-2-2-2-2-2-22200000000-2-222200000000000000000000
χ1922222222-2-2-2-2-2-22-2-22222-2-22222-2-200000000-2-2-22200000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22-2-2-2-222222200000000222-2-200000000000000000000
χ2122222-22-22222002002-2-2-2-2-20000222222222200-200-2-2-2-20000000000000000
χ2222222-22-22222002002-2-2-2-2-2000022-2-2-2-2-2-2-2-200-20022220000000000000000
χ2322222-22-2222200-200-2-222-2-20000-2-22222-2-2-2-200200-2-2220000000000000000
χ2422222-22-2222200-200-2-222-2-20000-2-2-2-2-2-222220020022-2-20000000000000000
χ2522222-22-2-2-2-2-2002002-2-2-2220000-2-2000000000020000002i2i−2i−2i2i2i−2i−2i00000000
χ2622222-22-2-2-2-2-2002002-2-2-2220000-2-200000000002000000−2i−2i2i2i−2i−2i2i2i00000000
χ2722222-22-2-2-2-2-200-200-2-222220000220000000000-20000002i2i−2i−2i−2i−2i2i2i00000000
χ2822222-22-2-2-2-2-200-200-2-222220000220000000000-2000000−2i−2i2i2i2i2i−2i−2i00000000
χ292222-22-220000222-2-2-2-22-20000000022−2−222−2−22-20002−22−22−22−22−22−200000000
χ302222-22-220000222-2-2-2-22-200000000−2−222−2−2222-2000−22−22−22−22−22−2200000000
χ312222-22-22000022-2-2-22-2-220000000022−2−2−2−222-220002−2−222−22−2−22−2200000000
χ322222-22-22000022-2-2-22-2-2200000000−2−22222−2−2-22000−222−2−22−222−22−200000000
χ332222-22-220000-2-2222-2-22-20000000022−2−222−2−2-220002−22−2−22−22−22−2200000000
χ342222-22-220000-2-2222-2-22-200000000−2−222−2−222-22000−22−222−22−22−22−200000000
χ352222-22-220000-2-2-2222-2-220000000022−2−2−2−2222-20002−2−22−22−222−22−200000000
χ362222-22-220000-2-2-2222-2-2200000000−2−22222−2−22-2000−222−22−22−2−22−2200000000
χ372222-2-2-2-2000000200-22-22002i2i−2i−2i0022−2−222−2−20002i−2i−22−22i2−i2−i2i2i2−i2−i2i200000000
χ382222-2-2-2-2000000200-22-22002i2i−2i−2i00−2−222−2−2220002i−2i2−22−2−i2i2i2−i2−i2i2i2−i200000000
χ392222-2-2-2-2000000200-22-2200−2i−2i2i2i0022−2−222−2−2000−2i2i−22−22−i2i2i2−i2−i2i2i2−i200000000
χ402222-2-2-2-2000000200-22-2200−2i−2i2i2i00−2−222−2−222000−2i2i2−22−2i2−i2−i2i2i2−i2−i2i200000000
χ412222-2-2-2-2000000-200222-2002i2i−2i−2i0022−2−2−2−222000−2i2i−222−2i2−i2−i2i2−i2i2i2−i200000000
χ422222-2-2-2-2000000-200222-2002i2i−2i−2i00−2−22222−2−2000−2i2i2−2−22−i2i2i2−i2i2−i2−i2i200000000
χ432222-2-2-2-2000000-200222-200−2i−2i2i2i0022−2−2−2−2220002i−2i−222−2−i2i2i2−i2i2−i2−i2i200000000
χ442222-2-2-2-2000000-200222-200−2i−2i2i2i00−2−22222−2−20002i−2i2−2−22i2−i2−i2i2−i2i2i2−i200000000
χ4544-4-440-4000000000000000000004i−4i22−2222−222i2−2i22i2−2i20000000000000000000000000
χ4644-4-440-4000000000000000000004i−4i−2222−2222−2i22i2−2i22i20000000000000000000000000
χ4744-4-440-400000000000000000000−4i4i22−2222−22−2i22i2−2i22i20000000000000000000000000
χ4844-4-440-400000000000000000000−4i4i−2222−22222i2−2i22i2−2i20000000000000000000000000
χ4944-4-4-404044-4-40000000000000000000004i−4i−4i4i0000000000000000000000000
χ5044-4-4-404044-4-4000000000000000000000−4i4i4i−4i0000000000000000000000000
χ5144-4-4-4040-4-444000000000000000004-4-4400000000000000000000000000000
χ5244-4-4-4040-4-44400000000000000000-444-400000000000000000000000000000
χ534-44-4040-422−2222−220004i−4i000022−222i2−2i22i2−2i200000000000000000000000000000000000
χ544-44-4040-422−2222−22000−4i4i000022−22−2i22i2−2i22i200000000000000000000000000000000000
χ554-44-4040-4−2222−22220004i−4i0000−2222−2i22i2−2i22i200000000000000000000000000000000000
χ564-44-4040-4−2222−2222000−4i4i0000−22222i2−2i22i2−2i200000000000000000000000000000000000
χ574-44-40-40422−2222−224-40000000−222222−22−222200000000000000000000000000000000000
χ584-44-40-40422−2222−22-440000000−2222−222222−2200000000000000000000000000000000000
χ594-44-40-404−2222−22224-4000000022−22−222222−2200000000000000000000000000000000000
χ604-44-40-404−2222−2222-44000000022−2222−22−222200000000000000000000000000000000000
χ618-8-88000042−42−424200000000000000000000000000000000000000000000000000
χ628-8-880000−424242−4200000000000000000000000000000000000000000000000000

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