Finite Group Databasebeta

← Group #488993

Character table — Group #488993

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488884444444888822444488888161616161616161622444488881616161624
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111-1-1-1-1111111-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111-1-1-1-1111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ711111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111-1-1-1-111111111-111-1-11-1-1-1111-111-1-1-111-1-11111-1-1-1-11-111-1-111-1-111-1-11-1
χ101111-1-1-1-111111111-111-1-11-1-1-1111-111-1-1-111-1-1-1-1-1-111111-111-1-1-1-111-1-111-11
χ111111-1-1-1-111111111-111-1-11-1-1-1111-1-1-111-111-1-11111-1-1-1-1-11-1-111-1-11111-1-1-11
χ121111-1-1-1-111111111-111-1-11-1-1-1111-1-1-111-111-1-1-1-1-1-11111-11-1-11111-1-1-1-1111-1
χ131111-1-1-1-111111111-1-1-1111-1-1-111-1111-1-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-111-11
χ141111-1-1-1-111111111-1-1-1111-1-1-111-1111-1-1-1-1-111-1-1-1-111111-1-1-111-1-11111-1-11-1
χ151111-1-1-1-111111111-1-1-1111-1-1-111-11-1-111-1-1-1111111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ161111-1-1-1-111111111-1-1-1111-1-1-111-11-1-111-1-1-111-1-1-1-11111-1111-1-111-1-111-1-1-11
χ17222222222222-2-2-2-22222222-2-2-2-2220000-2-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-22-2-2-2-222-2-2-2-2-2-20000-22222000000000000000000000000
χ19222222222-2-222222-20000-2-222-2-2002222-2000000000000-2-200000000000000
χ20222222222-2-222222-20000-2-222-2-200-2-2-2-2-20000000000002200000000000000
χ21222222222-2-22-2-2-2-2-20000-2-2-2-2220000002000000000000002-22-20000000000
χ22222222222-2-22-2-2-2-2-20000-2-2-2-222000000200000000000000-22-220000000000
χ23222222-2-2-222-2000022222-2-20000-2-200000000022−2−222−2−200000000002−22−200
χ24222222-2-2-222-2000022222-2-20000-2-2000000000−2−222−2−2220000000000−22−2200
χ25222222-2-2-222-200002-2-2-2-2-2-200002200000000022−2−222−2−20000000000−22−2200
χ26222222-2-2-222-200002-2-2-2-2-2-2000022000000000−2−222−2−22200000000002−22−200
χ272222-2-222-222-20000-222-2-2-220000-2200000000022−2−2−2−22200000000002−2−2200
χ282222-2-222-222-20000-222-2-2-220000-22000000000−2−22222−2−20000000000−222−200
χ292222-2-222-222-20000-2-2-222-2200002-200000000022−2−2−2−2220000000000−222−200
χ302222-2-222-222-20000-2-2-222-2200002-2000000000−2−22222−2−200000000002−2−2200
χ312222-2-2-2-22222-2-2-2-2-222-2-22-222-2-22-200002-2-222000000000000000000000000
χ322222-2-2-2-22222-2-2-2-2-2-2-2222-222-2-2-220000222-2-2000000000000000000000000
χ332222-2-2-2-22-2-22222220000-22-2-2-2-20022-2-22000000000000-2200000000000000
χ342222-2-2-2-22-2-22222220000-22-2-2-2-200-2-22220000000000002-200000000000000
χ352222-2-2-2-22-2-22-2-2-2-220000-222222000000-2000000000000002-2-220000000000
χ362222-2-2-2-22-2-22-2-2-2-220000-222222000000-200000000000000-222-20000000000
χ372-22-22-22-2-200222-2-200000002-200002i−2i2i−2i00000i2−i2i2−i2i2−i2i2−i20000002−22−2000000
χ382-22-22-22-2-200222-2-200000002-200002i−2i2i−2i00000−i2i2−i2i2−i2i2−i2i2000000−22−22000000
χ392-22-22-22-2-200222-2-200000002-20000−2i2i−2i2i00000i2−i2i2−i2i2−i2i2−i2000000−22−22000000
χ402-22-22-22-2-200222-2-200000002-20000−2i2i−2i2i00000−i2i2−i2i2−i2i2−i2i20000002−22−2000000
χ412-22-2-22-22-200222-2-20000000-2200002i−2i−2i2i00000i2−i2i2−i2−i2i2−i2i20000002−2−22000000
χ422-22-2-22-22-200222-2-20000000-2200002i−2i−2i2i00000−i2i2−i2i2i2−i2i2−i2000000−222−2000000
χ432-22-2-22-22-200222-2-20000000-220000−2i2i2i−2i00000i2−i2i2−i2−i2i2−i2i2000000−222−2000000
χ442-22-2-22-22-200222-2-20000000-220000−2i2i2i−2i00000−i2i2−i2i2i2−i2i2−i20000002−2−22000000
χ45444444-4-4-4-4-4-40000-4000044000000000000000000000000000000000000000
χ464444-4-444-4-4-4-40000400004-4000000000000000000000000000000000000000
χ4744-4-4000004-4022−2222−220004i−4i000022−220000000002i2−2i2000000000000000000000000
χ4844-4-4000004-4022−2222−22000−4i4i000022−22000000000−2i22i2000000000000000000000000
χ4944-4-4000004-40−2222−22220004i−4i0000−2222000000000−2i22i2000000000000000000000000
χ5044-4-4000004-40−2222−2222000−4i4i0000−22220000000002i2−2i2000000000000000000000000
χ5144-4-400000-44022−2222−2204i−4i000000−222200000002i2−2i200000000000000000000000000
χ5244-4-400000-44022−2222−220−4i4i000000−22220000000−2i22i200000000000000000000000000
χ5344-4-400000-440−2222−222204i−4i00000022−220000000−2i22i200000000000000000000000000
χ5444-4-400000-440−2222−22220−4i4i00000022−2200000002i2−2i200000000000000000000000000
χ554-44-44-44-4-4004-4-4440000000-440000000000000000000000000000000000000
χ564-44-44-4-44400-4000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ574-44-44-4-44400-400000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ584-44-4-444-4400-4000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ594-44-4-444-4400-400000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ604-44-4-44-44-4004-4-44400000004-40000000000000000000000000000000000000
χ618-8-880000000042−42−42420000000000000000000000000000000000000000000000
χ628-8-8800000000−424242−420000000000000000000000000000000000000000000000

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