Finite Group Databasebeta

← Group #285140

Character table — Group #285140

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444444444888888888888888881616161616161616161616161616163232
order12222244444444444888888884444488888888888824444888888888848
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111111-1-111-1-1-1-111-1-1-1-111111-1111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1111-1-11-1-1-111-1-11-1
χ611111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-111-11
χ711111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-111-11
χ811111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-111-1-1-1-1-1-111111-1-11-1
χ91111111111111-1-11111111111-1-1-1111111-1-1111111-1-11-1-1-1-1-11-1-11111-1-1
χ101111111111111-1-11111111111-1-1-1-1-11111-1-111-1-111-1-1-111-1-1-1-111-1-1-1-111
χ111111111111111-1-1111111-1-1-1-1-1-1-111-1-11111-1-111-1-1111-1-1-1-111-1-1-1-1-1-111
χ121111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-11-1111111-1-1
χ131111111111111-1-111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-11
χ141111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-11-1-1-1-1111-1
χ151111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11-1-1111-111-1-1111-1
χ161111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1111111-1-111-1-1-11
χ1722222222-2-2-2-2222-2-22i2i−2i−2i00002-2-200002i−2i00000000000002i−2i0000000000
χ1822222222-2-2-2-2222-2-2−2i−2i2i2i00002-2-20000−2i2i0000000000000−2i2i0000000000
χ1922222222-2-2-2-22-2-2-2-22i2i−2i−2i0000-22200002i−2i0000000000000−2i2i0000000000
χ2022222222-2-2-2-22-2-2-2-2−2i−2i2i2i0000-2220000−2i2i00000000000002i−2i0000000000
χ21222222-2-22222-200-2-2222200000002200-2-20000220000-200000-200000000
χ22222222-2-22222-200-2-222220000000-2-200-2-20000-2-20000200000200000000
χ23222222-2-22222-200-2-2-2-2-2-200000002200220000-2-20000-200000200000000
χ24222222-2-22222-200-2-2-2-2-2-20000000-2-200220000220000200000-200000000
χ25222222-2-2-2-2-2-2-200222i2i−2i−2i00000000000−2i2i000000000002-200002i−2i000000
χ26222222-2-2-2-2-2-2-200222i2i−2i−2i00000000000−2i2i00000000000-220000−2i2i000000
χ27222222-2-2-2-2-2-2-20022−2i−2i2i2i000000000002i−2i000000000002-20000−2i2i000000
χ28222222-2-2-2-2-2-2-20022−2i−2i2i2i000000000002i−2i00000000000-2200002i−2i000000
χ292222-2-22222-2-2-2222-200002222-22-2000000220000-2-20000000-2000000000
χ302222-2-22222-2-2-2222-20000-2-2-2-2-22-2000000-2-200002200000002000000000
χ312222-2-22222-2-2-2-2-22-2000022222-22000000-2-20000-2-200000002000000000
χ322222-2-22222-2-2-2-2-22-20000-2-2-2-22-22000000220000220000000-2000000000
χ332222-2-222-2-222-222-2200000000-2-2200220000-2-200002-2000000000000000
χ342222-2-222-2-222-222-2200000000-2-2200-2-20000220000-22000000000000000
χ352222-2-222-2-222-2-2-2-220000000022-200220000-2-20000-22000000000000000
χ362222-2-222-2-222-2-2-2-220000000022-200-2-200002200002-2000000000000000
χ372-22-22-2002-22-2000002-22-2i2i2−i2−i20002-2i2−i20000i2−i22-2i2−i200000000000i2−i2i2−i200
χ382-22-22-2002-22-2000002-22-2i2i2−i2−i2000-22i2−i20000i2−i2-22i2−i200000000000−i2i2−i2i200
χ392-22-22-2002-22-2000002-22-2−i2−i2i2i20002-2−i2i20000−i2i22-2−i2i200000000000−i2i2−i2i200
χ402-22-22-2002-22-2000002-22-2−i2−i2i2i2000-22−i2i20000−i2i2-22−i2i200000000000i2−i2i2−i200
χ412-22-22-2002-22-200000-22-22i2i2−i2−i20002-2−i2i20000−i2i2-22i2−i200000000000i2−i2−i2i200
χ422-22-22-2002-22-200000-22-22i2i2−i2−i2000-22−i2i20000−i2i22-2i2−i200000000000−i2i2i2−i200
χ432-22-22-2002-22-200000-22-22−i2−i2i2i20002-2i2−i20000i2−i2-22−i2i200000000000−i2i2i2−i200
χ442-22-22-2002-22-200000-22-22−i2−i2i2i2000-22i2−i20000i2−i22-2−i2i200000000000i2−i2−i2i200
χ454444-4-4-4-444-4-4400-44000000000000000000000000000000000000000000
χ464444-4-4-4-4-4-4444004-4000000000000000000000000000000000000000000
χ4744-4-4004-4000004-400000022−2222−2200000000022−2200000000000000000000000
χ4844-4-4004-4000004-4000000−2222−2222000000000−222200000000000000000000000
χ4944-4-4004-400000-4400000022−2222−22000000000−222200000000000000000000000
χ5044-4-4004-400000-44000000−2222−222200000000022−2200000000000000000000000
χ514-44-44-400-44-44000004i−4i−4i4i00000000000000000000000000000000000000
χ524-44-44-400-44-4400000−4i4i4i−4i00000000000000000000000000000000000000
χ534-44-4-44004-4-440000000002i22i2−2i2−2i2000000000000000−2i22i200000000000000000
χ544-44-4-44004-4-44000000000−2i2−2i22i22i20000000000000002i2−2i200000000000000000
χ554-44-4-4400-444-40000000000000000002i2−2i20000−2i22i2000000000000000000000
χ564-44-4-4400-444-4000000000000000000−2i22i200002i2−2i2000000000000000000000
χ5788-8-800-88000000000000000000000000000000000000000000000000000
χ588-8-88000000000000000004i−4i−4i4i0000000000000000000000000000000000
χ598-8-8800000000000000000−4i4i4i−4i0000000000000000000000000000000000

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