Finite Group Databasebeta

← Group #258650

Character table — Group #258650

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444444444444422444444488888888888888882444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1
χ3111111111111111111111111111-1-111-1-11111111111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111
χ5111111111111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-11-1111-111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1111111-1-1-1-1
χ91111111111111111-1-1-1-11-1-1111-111-1-1111111-1-1-1-11111-1-1-1-1-11-111-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-11-1-1111-111-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-1-1-111
χ111111111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-111-1-111-1-111
χ121111111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-11111-1-1
χ131111111111111111-1-1-1-11-1-11-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1-111-1-111
χ141111111111111111-1-1-1-11-1-11-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1
χ151111111111111111-1-1-1-11-1-11-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-1-111111-1-111-1-1
χ161111111111111111-1-1-1-11-1-11-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-11111-1-111-1-1-1-111
χ172222222222-2-2-222-22222-2-2-2-200-22200-2-20000000000000000-2020000000000000
χ182222222222-2-2-222-22222-2-2-2-200-2-2-20022000000000000000020-20000000000000
χ192222222222-2-2-222-2-2-2-2-2-222-20022200-2-2000000000000000020-20000000000000
χ202222222222-2-2-222-2-2-2-2-2-222-2002-2-200220000000000000000-2020000000000000
χ2122222222-2-2222-2-2222-2-2-222-222-200220000000000000000000-2000-20000000000
χ2222222222-2-2222-2-2222-2-2-222-2-2-2-200-2-20000000000000000000200020000000000
χ2322222222-2-2222-2-22-2-222-2-2-2-222200-2-20000000000000000000-200020000000000
χ2422222222-2-2222-2-22-2-222-2-2-2-2-2-22002200000000000000000002000-20000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22-2-220020000000000000000000000000000002-22-20000
χ2622222222-2-2-2-2-2-2-2-222-2-22-2-22002000000000000000000000000000000-22-220000
χ2722222222-2-2-2-2-2-2-2-2-2-222222200-20000000000000000000000000000002-2-220000
χ2822222222-2-2-2-2-2-2-2-2-2-222222200-2000000000000000000000000000000-222-20000
χ292-22-22-22-22-222-22-2-20000-20020002i−2i002i−2i22-2-20000000000000002i−2i00000000000
χ302-22-22-22-22-222-22-2-20000-20020002i−2i002i−2i-2-222000000000000000−2i2i00000000000
χ312-22-22-22-22-222-22-2-20000-2002000−2i2i00−2i2i22-2-2000000000000000−2i2i00000000000
χ322-22-22-22-22-222-22-2-20000-2002000−2i2i00−2i2i-2-2220000000000000002i−2i00000000000
χ332-22-22-22-22-2-2-222-220000200-20002i−2i00−2i2i00002i2i−2i−2i000000000000002-200000000
χ342-22-22-22-22-2-2-222-220000200-20002i−2i00−2i2i0000−2i−2i2i2i00000000000000-2200000000
χ352-22-22-22-22-2-2-222-220000200-2000−2i2i002i−2i00002i2i−2i−2i00000000000000-2200000000
χ362-22-22-22-22-2-2-222-220000200-2000−2i2i002i−2i0000−2i−2i2i2i000000000000002-200000000
χ372-2-222-2-22002-2200-22-20002-202-20002-200i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ382-2-222-2-22002-2200-22-20002-202-20002-200−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ392-2-222-2-22002-2200-22-20002-20-22000-2200i2−i2i2−i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ402-2-222-2-22002-2200-22-20002-20-22000-2200−i2i2−i2i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ412-2-222-2-22002-2200-2-22000-2202-2000-2200i2−i2i2−i2−i2i2−i2i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ422-2-222-2-22002-2200-2-22000-2202-2000-2200−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ432-2-222-2-22002-2200-2-22000-220-220002-200i2−i2i2−i2−i2i2−i2i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ442-2-222-2-22002-2200-2-22000-220-220002-200−i2i2−i2i2i2−i2i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ45444-4-4-4-444-4000-44000000000000000000000000002i2−2i22i2−2i200000000000000000000
χ46444-4-4-4-444-4000-4400000000000000000000000000−2i22i2−2i22i200000000000000000000
χ47444-4-4-4-44-440004-40000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ48444-4-4-4-44-440004-4000000000000000000000000000000−2i22i2−2i22i20000000000000000
χ4944-4-444-4-4004-4-4004000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ5044-4-444-4-4004-4-400400000000000000000−2i22i22i2−2i20000000000000000000000000000
χ5144-4-444-4-400-44400-400000000000000000000022−22−2222000000000000000000000000
χ5244-4-444-4-400-44400-4000000000000000000000−222222−22000000000000000000000000
χ534-444-44-4-444000-4-4000000000000000000000000000000000000000000000022−2200
χ544-444-44-4-444000-4-40000000000000000000000000000000000000000000000−222200
χ554-444-44-4-4-4-4000440000000000000000000000000000000000000000000000002i2−2i2
χ564-444-44-4-4-4-400044000000000000000000000000000000000000000000000000−2i22i2
χ574-44-44-44-4-4444-4-44-40000400-400000000000000000000000000000000000000000
χ584-44-44-44-4-44-4-44-4440000-400400000000000000000000000000000000000000000
χ594-4-444-4-4400-44-40044-4000-44000000000000000000000000000000000000000000
χ604-4-444-4-4400-44-4004-440004-4000000000000000000000000000000000000000000
χ614-4-4-4-444400000000004-40000000000000000000002-2-222-2-220000000000000000
χ624-4-4-4-444400000000004-4000000000000000000000-222-2-222-20000000000000000
χ634-4-4-4-44440000000000-440000000000000000000002-2-22-222-20000000000000000
χ644-4-4-4-44440000000000-44000000000000000000000-222-22-2-220000000000000000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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