Finite Group Databasebeta

← Group #264194

Character table — Group #264194

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1111111111111111-1-1-1-1-1-11-1-1-1-111-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-11
χ71111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-1-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-1111-1
χ91111111111111111-1-1-1-111111111-1-111111111-1-1-1-11111-11-1-11-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-11-1-1-1-11111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-111-111-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-111-1111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-1-111-1-111-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1111-1-11-1-111-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-1-1-111-1-1-111111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-111111-1-1-1-1-11
χ172222222222-2-22-2-220000-2-222222200220000-2-2000000000-200-200000000000
χ182222222222-2-22-2-220000-2-22222-2-200-2-20000-2-2000000000200200000000000
χ192222222222-2-22-2-220000-2-2-2-2-2-22200-2-2000022000000000200-200000000000
χ202222222222-2-22-2-220000-2-2-2-2-2-2-2-20022000022000000000-200200000000000
χ2122222222-2-222-222-22222-2-2000000-2-20022-2-200000000002000000-200000000
χ2222222222-2-222-222-22222-2-2000000-2-200-2-2220000000000-2000000200000000
χ2322222222-2-222-222-2-2-2-2-2-2-2000000220022-2-20000000000-2000000200000000
χ2422222222-2-222-222-2-2-2-2-2-2-20000002200-2-22200000000002000000-200000000
χ2522-22-2-22-22-200-20020000002i2i−2i−2i2-2002i−2i2−22−2000000i2i2−i2−i2000000002−2i2−i20000
χ2622-22-2-22-22-200-20020000002i2i−2i−2i2-2002i−2i−22−22000000−i2−i2i2i200000000−22−i2i20000
χ2722-22-2-22-22-200-20020000002i2i−2i−2i-2200−2i2i2−22−2000000i2i2−i2−i200000000−22−i2i20000
χ2822-22-2-22-22-200-20020000002i2i−2i−2i-2200−2i2i−22−22000000−i2−i2i2i2000000002−2i2−i20000
χ2922-22-2-22-22-200-2002000000−2i−2i2i2i2-200−2i2i2−22−2000000−i2−i2i2i2000000002−2−i2i20000
χ3022-22-2-22-22-200-2002000000−2i−2i2i2i2-200−2i2i−22−22000000i2i2−i2−i200000000−22i2−i20000
χ3122-22-2-22-22-200-2002000000−2i−2i2i2i-22002i−2i2−22−2000000−i2−i2i2i200000000−22i2−i20000
χ3222-22-2-22-22-200-2002000000−2i−2i2i2i-22002i−2i−22−22000000i2i2−i2−i2000000002−2−i2i20000
χ332-2-2-2-22222222-2-2-2-222-2-22-20000002-20000000000002i−2i2i−2i0000000000002i−2i00
χ342-2-2-2-22222222-2-2-2-222-2-22-20000002-2000000000000−2i2i−2i2i000000000000−2i2i00
χ352-2-2-2-22222222-2-2-2-2-2-2222-2000000-220000000000002i−2i2i−2i000000000000−2i2i00
χ362-2-2-2-22222222-2-2-2-2-2-2222-2000000-22000000000000−2i2i−2i2i0000000000002i−2i00
χ372-2-2-2-2222-2-2222-2-2222-2-2-222-22-200-220000002-222-2-200000000000000000000
χ382-2-2-2-2222-2-2222-2-2222-2-2-22-22-2200-22000000-22-2-22200000000000000000000
χ392-2-2-2-2222-2-2222-2-22-2-222-222-22-2002-20000002-2-2-22200000000000000000000
χ402-2-2-2-2222-2-2222-2-22-2-222-22-22-22002-2000000-2222-2-200000000000000000000
χ412-2-2-2-2222-2-2-2-2222200002-22-22-20000000000-2200000000002-202-2000000000
χ422-2-2-2-2222-2-2-2-2222200002-22-22-20000000000-220000000000-220-22000000000
χ432-2-2-2-2222-2-2-2-2222200002-2-22-2200000000002-200000000002-20-22000000000
χ442-2-2-2-2222-2-2-2-2222200002-2-22-2200000000002-20000000000-2202-2000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ4644-44-4-44-4-4400400-4000000000000000022−22−222200000000000000000000000000
χ4744-44-4-44-4-4400400-40000000000000000−222222−2200000000000000000000000000
χ4844-4-444-4-4004-404-40000000000000000000000022−2222−2200000000000000000000
χ4944-4-444-4-4004-404-400000000000000000000000−2222−222200000000000000000000
χ5044-4-444-4-400-440-4404-44-4000000000000000000000000000000000000000000
χ5144-4-444-4-400-440-440-44-44000000000000000000000000000000000000000000
χ524-444-44-4-4004-40-440000000000000000000000022−22−222200000000000000000000
χ534-444-44-4-4004-40-4400000000000000000000000−222222−2200000000000000000000
χ544-444-44-4-400-4404-404-4-44000000000000000000000000000000000000000000
χ554-444-44-4-400-4404-40-444-4000000000000000000000000000000000000000000
χ564-44-44-44-44-400400-40000000000000000000000000022−22−22220000000000000000
χ574-44-44-44-44-400400-400000000000000000000000000−222222−220000000000000000
χ584-44-44-44-4-4400-40040000004i−4i−4i4i000000000000000000000000000000000000
χ594-44-44-44-4-4400-4004000000−4i4i4i−4i000000000000000000000000000000000000
χ604-4-4-4-444444-4-4-444-40000-440000000000000000000000000000000000000000
χ61888-8-8-8-88000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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