Finite Group Databasebeta

← Group #281122

Character table — Group #281122

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111111-1-1-1-1-11111-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111111111111-1-1-1-11-1-1-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-11-1
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-111-11
χ91111111111111111-1-1-1-11111111111-1-11111-1-1-1-1111111-1-1-111-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-1-1-1-11111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-111-1-1-111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-111-11-1-1-111-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111-111-1-1-1-111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-11111-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111-1-11-111111-1-1-1-11-1
χ17222222222-2-22-2-2220000-2-2222222220000000000-2-20000000-2-200000000000
χ18222222222-2-22-2-2220000-2-22222-2-2-2-20000000000-2-200000002200000000000
χ19222222222-2-22-2-2220000-2-2-2-2-2-222-2-200000000002200000002-200000000000
χ20222222222-2-22-2-2220000-2-2-2-2-2-2-2-2220000000000220000000-2200000000000
χ2122222222-222-222-2-22222-2-200000000-2-222-2-2000000000020000-20000000000
χ2222222222-222-222-2-22222-2-200000000-2-2-2-2220000000000-2000020000000000
χ2322222222-222-222-2-2-2-2-2-2-2-2000000002222-2-20000000000-2000020000000000
χ2422222222-222-222-2-2-2-2-2-2-2-20000000022-2-222000000000020000-20000000000
χ252-22-2-222-22-2-2-2222-22i2i−2i−2i-22000000002i−2i000000000022-2-20000000000002i−2i00
χ262-22-2-222-22-2-2-2222-22i2i−2i−2i-22000000002i−2i0000000000-2-222000000000000−2i2i00
χ272-22-2-222-22-2-2-2222-2−2i−2i2i2i-2200000000−2i2i000000000022-2-2000000000000−2i2i00
χ282-22-2-222-22-2-2-2222-2−2i−2i2i2i-2200000000−2i2i0000000000-2-2220000000000002i−2i00
χ292-22-2-222-2-2222-2-2-220000-2222-2-2000000000000002-2000002i−2i0002i−2i00000000
χ302-22-2-222-2-2222-2-2-220000-2222-2-2000000000000002-200000−2i2i000−2i2i00000000
χ312-22-2-222-2-2222-2-2-220000-22-2-22200000000000000-22000002i−2i000−2i2i00000000
χ322-22-2-222-2-2222-2-2-220000-22-2-22200000000000000-2200000−2i2i0002i−2i00000000
χ332-22-2-222-2-2-2-2222-222i2i−2i−2i2-222-2-20000−2i2i00002i2i−2i−2i-2200000000000000000000
χ342-22-2-222-2-2-2-2222-222i2i−2i−2i2-2-2-2220000−2i2i0000−2i−2i2i2i2-200000000000000000000
χ352-22-2-222-2-2-2-2222-22−2i−2i2i2i2-222-2-200002i−2i0000−2i−2i2i2i-2200000000000000000000
χ362-22-2-222-2-2-2-2222-22−2i−2i2i2i2-2-2-22200002i−2i00002i2i−2i−2i2-200000000000000000000
χ372-2-2222-2-2-200-200220000002i−2i2i−2i2-22i−2i002−22−2000000i2−i2i2−i2000000002−2i2−i20000
χ382-2-2222-2-2-200-200220000002i−2i2i−2i2-22i−2i00−22−22000000−i2i2−i2i200000000−22−i2i20000
χ392-2-2222-2-2-200-200220000002i−2i2i−2i-22−2i2i002−22−2000000i2−i2i2−i200000000−22−i2i20000
χ402-2-2222-2-2-200-200220000002i−2i2i−2i-22−2i2i00−22−22000000−i2i2−i2i2000000002−2i2−i20000
χ412-2-2222-2-2-200-20022000000−2i2i−2i2i2-2−2i2i002−22−2000000−i2i2−i2i2000000002−2−i2i20000
χ422-2-2222-2-2-200-20022000000−2i2i−2i2i2-2−2i2i00−22−22000000i2−i2i2−i200000000−22i2−i20000
χ432-2-2222-2-2-200-20022000000−2i2i−2i2i-222i−2i002−22−2000000−i2i2−i2i200000000−22i2−i20000
χ442-2-2222-2-2-200-20022000000−2i2i−2i2i-222i−2i00−22−22000000i2−i2i2−i2000000002−2−i2i20000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ464444-4-4-4-404-404-4000000000000000000000022−2222−220000000000000000000000
χ474444-4-4-4-404-404-40000000000000000000000−2222−22220000000000000000000000
χ484444-4-4-4-40-440-44004-44-4000000000000000000000000000000000000000000
χ494444-4-4-4-40-440-4400-44-44000000000000000000000000000000000000000000
χ5044-4-4-44-44400-400-440000004i−4i−4i4i000000000000000000000000000000000000
χ5144-4-4-44-44400-400-44000000−4i4i4i−4i000000000000000000000000000000000000
χ5244-4-4-44-44-4004004-4000000000000000000000000002i2−2i2−2i22i20000000000000000
χ5344-4-4-44-44-4004004-400000000000000000000000000−2i22i22i2−2i20000000000000000
χ544-44-44-4-4404-40-44004i−4i−4i4i000000000000000000000000000000000000000000
χ554-44-44-4-4404-40-4400−4i4i4i−4i000000000000000000000000000000000000000000
χ564-44-44-4-440-4404-400000000000000000000002i2−2i2−2i22i20000000000000000000000
χ574-44-44-4-440-4404-40000000000000000000000−2i22i22i2−2i20000000000000000000000
χ584-44-4-444-4444-4-4-44-400004-40000000000000000000000000000000000000000
χ594-4-4444-4-4400400-4-4000000000000000022−22−222200000000000000000000000000
χ604-4-4444-4-4400400-4-40000000000000000−222222−2200000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-8-88-8-888000000000000000000000000000000000000000000000000000000

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