Finite Group Databasebeta

← Group #273888

Character table — Group #273888

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444888888888888888888888888881616161616161616161616163232
order12222244444422444442222444488888888888888888822244888888848
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1
χ3111111111111111111111-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1111-1-1-1-1
χ4111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1111-1-111111-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-1
χ61111111111111111111-1-1111-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1111-1-111
χ71111111111111111111-1-1-1-11-1-1111-1-111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-111
χ81111111111111111111-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1111111-1-1
χ9111111111111-1-11-1-1111111-111-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-1-11-1-1111-1
χ10111111111111-1-11-1-1111111-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1111-1-1-111-1-1-11
χ11111111111111-1-11-1-11111-1-1-111-111111111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-11
χ12111111111111-1-11-1-11111-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-111-111111-1
χ13111111111111-1-11-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-11-11111-11
χ14111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-111-1-1111111111111-1-11-111-1-1-1-11-1
χ15111111111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-11-1-111-1-11-1
χ16111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-11-11-1-111-11
χ172222222-222-2222-222-2-20022-200-20022000000000000000000-2-200000000
χ182222222-222-2222-222-2-200-2-2-200-200-2-20000000000000000002200000000
χ192222222-222-22-2-2-2-2-2-2-20022200200-2-2000000000000000000-2200000000
χ202222222-222-22-2-2-2-2-2-2-200-2-2200200220000000000000000002-200000000
χ21222222-2-2-2-2-2-2002002-22-20002-20000000002i2i−2i−2i000000000000002i−2i0000
χ22222222-2-2-2-2-2-2002002-22-20002-2000000000−2i−2i2i2i00000000000000−2i2i0000
χ23222222-2-2-2-2-2-2002002-2-22000-220000000002i2i−2i−2i00000000000000−2i2i0000
χ24222222-2-2-2-2-2-2002002-2-22000-22000000000−2i−2i2i2i000000000000002i−2i0000
χ252222-2-222-2-22200-2002-222000-2-20220000-2-20000-2-2000000000002000000
χ262222-2-222-2-22200-2002-222000-2-20-2-200002200002200000000000-2000000
χ272222-2-222-2-22200-2002-2-2-2000220220000-2-200002200000000000-2000000
χ282222-2-222-2-22200-2002-2-2-2000220-2-20000220000-2-2000000000002000000
χ292222-2-2-22222-2222-2-2-2-20000-2002000022000000000000002-200-20000000
χ302222-2-2-22222-2222-2-2-2-20000-20020000-2-200000000000000-220020000000
χ312222-2-2-22222-2-2-2222-2-20000200-200002200000000000000-2200-20000000
χ322222-2-2-22222-2-2-2222-2-20000200-20000-2-2000000000000002-20020000000
χ332222-2-2-2-222-2-222-2-2-2222-2002-22-20000000000000000002-2000000000000
χ342222-2-2-2-222-2-222-2-2-222-220022-2-2000000000000000000-22000000000000
χ352222-2-2-2-222-2-2-2-2-222222-200-2-222000000000000000000-22000000000000
χ362222-2-2-2-222-2-2-2-2-22222-2200-22-220000000000000000002-2000000000000
χ372-22-22-2202-20-22-202-200002-20000i2−i22-200i2−i2i2−i2i2−i200i2i2−i2−i20000000000i2−i200
χ382-22-22-2202-20-22-202-200002-20000−i2i22-200−i2i2−i2i2−i2i200−i2−i2i2i20000000000−i2i200
χ392-22-22-2202-20-22-202-20000-220000i2−i2-2200i2−i2i2−i2i2−i200−i2−i2i2i20000000000−i2i200
χ402-22-22-2202-20-22-202-20000-220000−i2i2-2200−i2i2−i2i2−i2i200i2i2−i2−i20000000000i2−i200
χ412-22-22-2202-20-2-220-2200002-20000i2−i2-2200i2−i2−i2i2−i2i200−i2−i2i2i20000000000i2−i200
χ422-22-22-2202-20-2-220-2200002-20000−i2i2-2200−i2i2i2−i2i2−i200i2i2−i2−i20000000000−i2i200
χ432-22-22-2202-20-2-220-220000-220000i2−i22-200i2−i2−i2i2−i2i200i2i2−i2−i20000000000−i2i200
χ442-22-22-2202-20-2-220-220000-220000−i2i22-200−i2i2i2−i2i2−i200−i2−i2i2i20000000000i2−i200
χ45444444-44-4-44-400-400-440000000000000000000000000000000000000000
χ464444-4-44-4-4-4-4400400-440000000000000000000000000000000000000000
χ474-44-44-4-40-44040000000000000000000000022−22−222200000000000000000000
χ484-44-44-4-40-440400000000000000000000000−222222−2200000000000000000000
χ494-44-4-4440-440-40000000000000002i2−2i20000−2i22i2000000000000000000000000
χ504-44-4-4440-440-4000000000000000−2i22i200002i2−2i2000000000000000000000000
χ514-44-4-44-404-4044-40-44000000000000000000000000000000000000000000
χ524-44-4-44-404-404-4404-4000000000000000000000000000000000000000000
χ534-4-44000-40040000000000000000000022−2200000022−222-22-200000000000000
χ544-4-44000-40040000000000000000000022−22000000−2222-22-2200000000000000
χ554-4-44000-400400000000000000000000−222200000022−22-22-2200000000000000
χ564-4-44000-400400000000000000000000−2222000000−22222-22-200000000000000
χ5788-8-800000000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ5888-8-80000000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ598-8-88000800-8000000000000000000000000000000000000000000000000

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