Finite Group Databasebeta

← Group #247921

Character table — Group #247921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444488888888888888888888161616161616161616161616163232
order12222244444444444444444444444444444444488888888244444444888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111111111111-1-1-11-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ511111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11-1-1-11-1-1-1-111-1-11-1
χ611111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-11-1-1-1-1-1-11-1-111-11
χ711111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-111-11
χ811111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1111111-1-11-1
χ91111111111111-1-1-1-111111111111111-1-111-1-1-1-111111111-1-1-1-1-11-1-1-11111-1-1
χ101111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-111
χ111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-111
χ121111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-11111111-1-1
χ131111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-111111-1-1-11
χ141111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1111-111-1-1-1111-1
χ151111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1111-11-1-11-1-1111-1
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11111-1-1-111-1-1-11
χ1722222222-2-222-2000022222222-2-2-2-22200-2-200000000000000000-2000000000
χ1822222222-2-222-200002222-2-2-2-2-2-2-2-2-2-20022000000000000000002000000000
χ1922222222-2-222-20000-2-2-2-22222-2-222-2-200-2-2000000000000000002000000000
χ2022222222-2-222-20000-2-2-2-2-2-2-2-2-2-22222002200000000000000000-2000000000
χ21222222-2-222-2-22222222-2-20000-2-22-200-2-200000000000000002-200000000000
χ22222222-2-222-2-222222-2-2220000-2-2-2200-2-20000000000000000-2200000000000
χ23222222-2-222-2-22-2-2-2-222-2-20000-2-22-200220000000000000000-2200000000000
χ24222222-2-222-2-22-2-2-2-2-2-2220000-2-2-22002200000000000000002-200000000000
χ25222222-2-2-2-2-2-2-2000022-2-2000022-2200000022-2-2000000000000002-20000000
χ26222222-2-2-2-2-2-2-2000022-2-2000022-22000000-2-22200000000000000-220000000
χ27222222-2-2-2-2-2-2-20000-2-2220000222-200000022-2-200000000000000-220000000
χ28222222-2-2-2-2-2-2-20000-2-2220000222-2000000-2-222000000000000002-20000000
χ292222-2-22-2222-2-222-2-2000000002-200002-2000000000022-2-202000000-2000000
χ302222-2-22-2222-2-222-2-2000000002-200002-20000000000-2-2220-20000002000000
χ312222-2-22-2222-2-2-2-222000000002-20000-22000000000022-2-20-20000002000000
χ322222-2-22-2222-2-2-2-222000000002-20000-220000000000-2-22202000000-2000000
χ332222-2-2-2222-22-222-2-200000000-220000-2200000022-2-200002000-20000000000
χ342222-2-2-2222-22-222-2-200000000-220000-22000000-2-2220000-200020000000000
χ352222-2-2-2222-22-2-2-22200000000-2200002-200000022-2-20000-200020000000000
χ362222-2-2-2222-22-2-2-22200000000-2200002-2000000-2-22200002000-20000000000
χ372-22-2-222-200-22000002i−2i2i−2i2i2i−2i−2i00002-200000000i2−i2i2−i22−22−20000000002−2i2−i200
χ382-22-2-222-200-22000002i−2i2i−2i2i2i−2i−2i00002-200000000−i2i2−i2i2−22−22000000000−22−i2i200
χ392-22-2-222-200-22000002i−2i2i−2i−2i−2i2i2i0000-2200000000i2−i2i2−i22−22−2000000000−22−i2i200
χ402-22-2-222-200-22000002i−2i2i−2i−2i−2i2i2i0000-2200000000−i2i2−i2i2−22−220000000002−2i2−i200
χ412-22-2-222-200-2200000−2i2i−2i2i2i2i−2i−2i0000-2200000000i2−i2i2−i2−22−220000000002−2−i2i200
χ422-22-2-222-200-2200000−2i2i−2i2i2i2i−2i−2i0000-2200000000−i2i2−i2i22−22−2000000000−22i2−i200
χ432-22-2-222-200-2200000−2i2i−2i2i−2i−2i2i2i00002-200000000i2−i2i2−i2−22−22000000000−22i2−i200
χ442-22-2-222-200-2200000−2i2i−2i2i−2i−2i2i2i00002-200000000−i2i2−i2i22−22−20000000002−2−i2i200
χ454444-4-44-4-4-44-44000000000000-4400000000000000000000000000000000000
χ464444-4-4-44-4-4-4440000000000004-400000000000000000000000000000000000
χ4744-4-400004-4000004-400002-22-2000000002-22-22-200000000000000000000000
χ4844-4-400004-4000004-40000-22-2200000000-22-22-2200000000000000000000000
χ4944-4-400004-400000-4400002-22-2000000002-2-22-2200000000000000000000000
χ5044-4-400004-400000-440000-22-2200000000-222-22-200000000000000000000000
χ5144-4-40000-440004-40000002-22-200000000-222-2-2200000000000000000000000
χ5244-4-40000-440004-4000000-22-22000000002-2-222-200000000000000000000000
χ5344-4-40000-44000-440000002-22-200000000-22-222-200000000000000000000000
χ5444-4-40000-44000-44000000-22-22000000002-22-2-2200000000000000000000000
χ554-44-44-44400-4-4000000000000000000000000000000022−22−2222000000000000000
χ564-44-44-44400-4-40000000000000000000000000000000−222222−22000000000000000
χ574-44-44-4-4-400440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ584-44-44-4-4-40044000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ594-44-4-44-44004-4000004i−4i−4i4i00000000000000000000000000000000000000000
χ604-44-4-44-44004-400000−4i4i4i−4i00000000000000000000000000000000000000000
χ618-8-88000000000000000004i−4i−4i4i0000000000000000000000000000000000000
χ628-8-8800000000000000000−4i4i4i−4i0000000000000000000000000000000000000

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