Finite Group Databasebeta

← Group #491165

Character table — Group #491165

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222224444444444444444444444444888888888888888883232323232323232
order1222444488882444444448888888816161616161616162488816161616161616161616161622248888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ51111111111111111-1-1-1-111111-1-1-1-111111111-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-111111-1-1-1-111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111111-1-11-1-11
χ81111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-111-111-1
χ9111111111111-11-1-11111-111-1-111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-1-11-11
χ10111111111111-11-1-11111-111-1-111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-111-11-1
χ11111111111111-11-1-11111-111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1
χ12111111111111-11-1-11111-111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-111
χ13111111111111-11-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-111111-11-11-11-1
χ14111111111111-11-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-11111-11-11-11-11
χ15111111111111-11-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-111-1-1111111-1-1-1-11-1-11-1-111
χ16111111111111-11-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-111-1-1111111-1-1-1-1-111-111-1-1
χ1722222222-2-2-2-2222222222-2-2-2-2-2-2-2-20000000022-2-2-200000000000000000000
χ1822222222-2-2-2-22222-2-2-2-22-2-2-2-2222200000000-2-2-22200000000000000000000
χ1922222222-2-2-2-2-22-2-22222-2-2-222-2-2-2-200000000-2-222200000000000000000000
χ2022222222-2-2-2-2-22-2-2-2-2-2-2-2-2-222222200000000222-2-200000000000000000000
χ2122222-2-2200002-22-222-2-2-20000000022−2−222−2−22-20002−22−222−2−222−2−200000000
χ2222222-2-2200002-22-222-2-2-200000000−2−222−2−2222-2000−22−22−2−222−2−22200000000
χ2322222-2-2200002-22-2-2-222-20000000022−2−222−2−2-220002−22−2−2−222−2−22200000000
χ2422222-2-2200002-22-2-2-222-200000000−2−222−2−222-22000−22−2222−2−222−2−200000000
χ2522222-2-220000-2-2-2222-2-220000000022−2−2−2−222-220002−2−2222−2−2−2−22200000000
χ2622222-2-220000-2-2-2222-2-2200000000−2−22222−2−2-22000−222−2−2−22222−2−200000000
χ2722222-2-220000-2-2-22-2-22220000000022−2−2−2−2222-20002−2−22−2−22222−2−200000000
χ2822222-2-220000-2-2-22-2-222200000000−2−22222−2−22-2000−222−222−2−2−2−22200000000
χ292222-222-222222-2-2-200002-2-2-2-200002222-2-2-2-200200-2-2220000000000000000
χ302222-222-222222-2-2-200002-2-2-2-20000-2-2-2-222220020022-2-20000000000000000
χ312222-222-22222-2-2220000-2-2-22200002222222200-200-2-2-2-20000000000000000
χ322222-222-22222-2-2220000-2-2-2220000-2-2-2-2-2-2-2-200-20022220000000000000000
χ332222-222-2-2-2-2-22-2-2-200002222200000000000000-20000002i−2i2i−2i2i−2i2i−2i00000000
χ342222-222-2-2-2-2-22-2-2-200002222200000000000000-2000000−2i2i−2i2i−2i2i−2i2i00000000
χ352222-222-2-2-2-2-2-2-2220000-222-2-20000000000000020000002i−2i2i−2i−2i2i−2i2i00000000
χ362222-222-2-2-2-2-2-2-2220000-222-2-2000000000000002000000−2i2i−2i2i2i−2i2i−2i00000000
χ372222-2-2-2-2000022-220000-200002i2i−2i−2i22−2−2−2−2220002i−2i−222−2i2−i2−i2i2i2−i2−i2i200000000
χ382222-2-2-2-2000022-220000-200002i2i−2i−2i−2−22222−2−20002i−2i2−2−22−i2i2i2−i2−i2i2i2−i200000000
χ392222-2-2-2-2000022-220000-20000−2i−2i2i2i22−2−2−2−222000−2i2i−222−2−i2i2i2−i2−i2i2i2−i200000000
χ402222-2-2-2-2000022-220000-20000−2i−2i2i2i−2−22222−2−2000−2i2i2−2−22i2−i2−i2i2i2−i2−i2i200000000
χ412222-2-2-2-20000-222-20000200002i2i−2i−2i22−2−222−2−2000−2i2i−22−22i2−i2−i2i2−i2i2i2−i200000000
χ422222-2-2-2-20000-222-20000200002i2i−2i−2i−2−222−2−222000−2i2i2−22−2−i2i2i2−i2i2−i2−i2i200000000
χ432222-2-2-2-20000-222-2000020000−2i−2i2i2i22−2−222−2−20002i−2i−22−22−i2i2i2−i2i2−i2−i2i200000000
χ442222-2-2-2-20000-222-2000020000−2i−2i2i2i−2−222−2−2220002i−2i2−22−2i2−i2−i2i2−i2i2i2−i200000000
χ4544-4-4400-42222−22−220000004i−4i022−22002i2−2i22i2−2i2000000000000000000000000000000000
χ4644-4-4400-42222−22−22000000−4i4i022−2200−2i22i2−2i22i2000000000000000000000000000000000
χ4744-4-4400-4−22−2222220000004i−4i0−222200−2i22i2−2i22i2000000000000000000000000000000000
χ4844-4-4400-4−22−222222000000−4i4i0−2222002i2−2i22i2−2i2000000000000000000000000000000000
χ4944-4-4-40042222−22−2200004-4000−22220022−22−2222000000000000000000000000000000000
χ5044-4-4-40042222−22−220000-44000−222200−222222−22000000000000000000000000000000000
χ5144-4-4-4004−22−22222200004-400022−2200−222222−22000000000000000000000000000000000
χ5244-4-4-4004−22−2222220000-4400022−220022−22−2222000000000000000000000000000000000
χ534-4-4404-400000000000000004-4000022−2222−2222−2222−220000000000000000000000000
χ544-4-4404-400000000000000004-40000−2222−2222−2222−22220000000000000000000000000
χ554-4-4404-40000000000000000-44000022−2222−22−2222−22220000000000000000000000000
χ564-4-4404-40000000000000000-440000−2222−222222−2222−220000000000000000000000000
χ574-4-440-4404-44-40000000000000000000004-4-440000000000000000000000000
χ584-4-440-4404-44-4000000000000000000000-444-40000000000000000000000000
χ594-4-440-440-44-44000000000000000004-4-4400000000000000000000000000000
χ604-4-440-440-44-4400000000000000000-444-400000000000000000000000000000
χ618-88-8000042−42−424200000000000000000000000000000000000000000000000000
χ628-88-80000−424242−4200000000000000000000000000000000000000000000000000

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