Finite Group Databasebeta

← Group #131963

Character table — Group #131963

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488884444444888822224488888161616161616161644444488881616161688
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-1-1-1111111111-1-11-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111-1-1-11111-1-1-1-1-1-1111-1-1-111-1-111-1-11-1111-1-1iiii−i−i−i−i1-111-1-1ii−i−iii−i−ii−i
χ101111-1-1-11111-1-1-1-1-1-1111-1-1-111-1-111-1-11-1111-1-1−i−i−i−iiiii1-111-1-1−i−iii−i−iii−ii
χ111111-1-1-11111-1-1-1-1-1-1111-1-1-111-1-1-1-1111-1111-1-1iiii−i−i−i−i-11-1-111−i−iiiii−i−i−ii
χ121111-1-1-11111-1-1-1-1-1-1111-1-1-111-1-1-1-1111-1111-1-1−i−i−i−iiiii-11-1-111ii−i−i−i−iiii−i
χ131111-1-1-11111-1-1-1-1-1-11-1-111-111-1-111-1-1-111-1-111iiii−i−i−i−i1-1-1-111ii−i−i−i−iii−ii
χ141111-1-1-11111-1-1-1-1-1-11-1-111-111-1-111-1-1-111-1-111−i−i−i−iiiii1-1-1-111−i−iiiii−i−ii−i
χ151111-1-1-11111-1-1-1-1-1-11-1-111-111-1-1-1-111-111-1-111iiii−i−i−i−i-1111-1-1−i−iii−i−iiii−i
χ161111-1-1-11111-1-1-1-1-1-11-1-111-111-1-1-1-111-111-1-111−i−i−i−iiiii-1111-1-1ii−i−iii−i−i−ii
χ17222222222222-2-2-2-22222222-2-2-2-2000022-2-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-222-2-2-2-22-2-2-2-20000-2-2-22222000000000000000000000000
χ192222222-2-22222222-2-20000-222-2-2222200-2000000000000-2-200000000000000
χ202222222-2-22222222-2-20000-222-2-2-2-2-2-200-20000000000002200000000000000
χ212222222-2-2222-2-2-2-2-2-20000-2-2-2220000002000000000000002-22-20000000000
χ222222222-2-2222-2-2-2-2-2-20000-2-2-222000000200000000000000-22-220000000000
χ23222222-222-2-2-200002-22222-200000000-2-200000i2i2−i2−i2i2i2−i2−i20000000000i2−i2i2−i200
χ24222222-222-2-2-200002-22222-200000000-2-200000−i2−i2i2i2−i2−i2i2i20000000000−i2i2−i2i200
χ25222222-222-2-2-200002-2-2-2-2-2-2000000002200000i2i2−i2−i2i2i2−i2−i20000000000−i2i2−i2i200
χ26222222-222-2-2-200002-2-2-2-2-2-2000000002200000−i2−i2i2i2−i2−i2i2i20000000000i2−i2i2−i200
χ272222-2-2222-2-220000-2-222-2-2200000000-220000022−2−2−2−22200000000002−2−2200
χ282222-2-2222-2-220000-2-222-2-2200000000-2200000−2−22222−2−20000000000−222−200
χ292222-2-2222-2-220000-2-2-2-2222000000002-20000022−2−2−2−2220000000000−222−200
χ302222-2-2222-2-220000-2-2-2-2222000000002-200000−2−22222−2−200000000002−2−2200
χ312222-2-2-22222-22222-2222-2-2-2-2-22200002-2-2-2-222000000000000000000000000
χ322222-2-2-22222-22222-22-2-222-2-2-2220000-22-222-2-2000000000000000000000000
χ332222-2-2-2-2-222-222222-200002-2-2-2-20000002000000000000002-2-220000000000
χ342222-2-2-2-2-222-222222-200002-2-2-2-2000000200000000000000-222-20000000000
χ352222-2-2-2-2-222-2-2-2-2-22-200002222222-2-200-2000000000000-2200000000000000
χ362222-2-2-2-2-222-2-2-2-2-22-2000022222-2-22200-20000000000002-200000000000000
χ3722-2-22-22002-2-222-2-200000002-2002-22-200000002−22−22−22−20000002−22−2000000
χ3822-2-22-22002-2-222-2-200000002-2002-22-20000000−22−22−22−22000000−22−22000000
χ3922-2-22-22002-2-222-2-200000002-200-22-2200000002−22−22−22−2000000−22−22000000
χ4022-2-22-22002-2-222-2-200000002-200-22-220000000−22−22−22−220000002−22−2000000
χ4122-2-2-22-2002-22-2-22200000002-2002-2-220000000i2−i2i2−i2−i2i2−i2i2000000i2−i2−i2i2000000
χ4222-2-2-22-2002-22-2-22200000002-2002-2-220000000−i2i2−i2i2i2−i2i2−i2000000−i2i2i2−i2000000
χ4322-2-2-22-2002-22-2-22200000002-200-222-20000000i2−i2i2−i2−i2i2−i2i2000000−i2i2i2−i2000000
χ4422-2-2-22-2002-22-2-22200000002-200-222-20000000−i2i2−i2i2i2−i2i2−i2000000i2−i2−i2i2000000
χ45444444-4-4-4-4-4-40000-4400004000000000000000000000000000000000000000
χ464444-4-44-4-4-4-440000440000-4000000000000000000000000000000000000000
χ4744-4-44-44004-4-4-4-4440000000-440000000000000000000000000000000000000
χ4844-4-44-4-400-444000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ4944-4-44-4-400-44400000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ5044-4-4-44400-44-4000000000000000000000000002-2-22-222-20000000000000000
χ5144-4-4-44400-44-400000000000000000000000000-222-22-2-220000000000000000
χ5244-4-4-44-4004-4444-4-40000000-440000000000000000000000000000000000000
χ534-44-40004-400022−2222−2200004i−4i00022−2200000002i2−2i200000000000000000000000000
χ544-44-40004-400022−2222−220000−4i4i00022−220000000−2i22i200000000000000000000000000
χ554-44-40004-4000−2222−222200004i−4i000−22220000000−2i22i200000000000000000000000000
χ564-44-40004-4000−2222−22220000−4i4i000−222200000002i2−2i200000000000000000000000000
χ574-44-4000-4400022−2222−22004i−4i00000−22220000000002i2−2i2000000000000000000000000
χ584-44-4000-4400022−2222−2200−4i4i00000−2222000000000−2i22i2000000000000000000000000
χ594-44-4000-44000−2222−2222004i−4i0000022−22000000000−2i22i2000000000000000000000000
χ604-44-4000-44000−2222−222200−4i4i0000022−220000000002i2−2i2000000000000000000000000
χ618-8-880000000042−42−42420000000000000000000000000000000000000000000000
χ628-8-8800000000−424242−420000000000000000000000000000000000000000000000

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