Finite Group Databasebeta

← Group #285171

Character table — Group #285171

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444444444888888888888888881616161616161616161616161616163232
order12222244444422444888888882444488888888888824444888888888848
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-111111-11-1-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-11-111111-1-111-1-1-1-1-1
χ4111111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111
χ511111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-11-1-11-1
χ611111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-1111-11
χ711111111111111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-11
χ811111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-11-11-1-111111-1-1-1-1-11-1
χ9111111111111-1-111111111111-1-1-11111111111-1-111-11-1-1-11-1-111-1-1-111-1-1
χ10111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-111-1-1-111-111-1-1-1-1-1-1-111
χ11111111111111-1-11111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-11-1-1-1-1-1-11-1-111
χ12111111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11-1111-11111-1-1111-1-1
χ13111111111111-1-1111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-1-1-11
χ14111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1111-11111-1-1-1-111-1111-1
χ15111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-11-1-1-1-111-1-1111111-1
χ16111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-111111-1-1-11
χ172222222-22-2-2-2222-2-22i2i−2i−2i00002-2-2002i−2i000000000000000000002i−2i00000
χ182222222-22-2-2-2222-2-2−2i−2i2i2i00002-2-200−2i2i00000000000000000000−2i2i00000
χ192222222-22-2-2-2-2-22-2-22i2i−2i−2i0000-222002i−2i00000000000000000000−2i2i00000
χ202222222-22-2-2-2-2-22-2-2−2i−2i2i2i0000-22200−2i2i000000000000000000002i−2i00000
χ21222222-22-222200-2-2-22222000000022-2-200002200000-2000-200000000000
χ22222222-22-222200-2-2-222220000000-2-2-2-20000-2-2000002000200000000000
χ23222222-22-222200-2-2-2-2-2-2-2000000022220000-2-200000-2000200000000000
χ24222222-22-222200-2-2-2-2-2-2-20000000-2-222000022000002000-200000000000
χ25222222-2-2-2-2-2-200-2222i2i−2i−2i000000000−2i2i00000000000002-202i−2i000000000
χ26222222-2-2-2-2-2-200-2222i2i−2i−2i000000000−2i2i0000000000000-220−2i2i000000000
χ27222222-2-2-2-2-2-200-222−2i−2i2i2i0000000002i−2i00000000000002-20−2i2i000000000
χ28222222-2-2-2-2-2-200-222−2i−2i2i2i0000000002i−2i0000000000000-2202i−2i000000000
χ292222-2-2222-2-2222-22-200002222-22-2000000000022-2-2000000000000-20000
χ302222-2-2222-2-2222-22-20000-2-2-2-2-22-20000000000-2-22200000000000020000
χ312222-2-2222-2-22-2-2-22-2000022222-220000000000-2-2-2-200000000000020000
χ322222-2-2222-2-22-2-2-22-20000-2-2-2-22-2200000000002222000000000000-20000
χ332222-2-22-2222-222-2-2200000000-2-22000022-2-200000020-200000000000000
χ342222-2-22-2222-222-2-2200000000-2-220000-2-222000000-20200000000000000
χ352222-2-22-2222-2-2-2-2-220000000022-2000022-2-2000000-20200000000000000
χ362222-2-22-2222-2-2-2-2-220000000022-20000-2-22200000020-200000000000000
χ372-2-222-20202-2-2000002i−2i2i−2ii2i2−i2−i20002-2002−22−22i−2i00i2−i200000000i2−i20002−200
χ382-2-222-20202-2-2000002i−2i2i−2ii2i2−i2−i2000-22002−22−2−2i2i00i2−i200000000−i2i2000−2200
χ392-2-222-20202-2-2000002i−2i2i−2i−i2−i2i2i20002-200−22−222i−2i00−i2i200000000−i2i2000−2200
χ402-2-222-20202-2-2000002i−2i2i−2i−i2−i2i2i2000-2200−22−22−2i2i00−i2i200000000i2−i20002−200
χ412-2-222-20202-2-200000−2i2i−2i2ii2i2−i2−i20002-200−22−22−2i2i00i2−i200000000i2−i2000−2200
χ422-2-222-20202-2-200000−2i2i−2i2ii2i2−i2−i2000-2200−22−222i−2i00i2−i200000000−i2i20002−200
χ432-2-222-20202-2-200000−2i2i−2i2i−i2−i2i2i20002-2002−22−2−2i2i00−i2i200000000−i2i20002−200
χ442-2-222-20202-2-200000−2i2i−2i2i−i2−i2i2i2000-22002−22−22i−2i00−i2i200000000i2−i2000−2200
χ454444-4-4-44-4-4-44004-44000000000000000000000000000000000000000000
χ464444-4-4-4-4-444-40044-4000000000000000000000000000000000000000000
χ4744-4-40040-40004-4000000022−2222−22000000000000022−220000000000000000000
χ4844-4-40040-40004-40000000−2222−22220000000000000−22220000000000000000000
χ4944-4-40040-4000-44000000022−2222−220000000000000−22220000000000000000000
χ5044-4-40040-4000-440000000−2222−2222000000000000022−220000000000000000000
χ514-4-444-40-40-444000004-4-4400000000000000000000000000000000000000
χ524-4-444-40-40-44400000-444-400000000000000000000000000000000000000
χ534-4-44-44040-44-40000000002i22i2−2i2−2i2000000000000000−2i22i200000000000000000
χ544-4-44-44040-44-4000000000−2i2−2i22i22i20000000000000002i2−2i200000000000000000
χ554-4-44-440-404-440000000000000000000022−22−222200000000000000000000000
χ564-4-44-440-404-4400000000000000000000−222222−2200000000000000000000000
χ5788-8-800-80800000000000000000000000000000000000000000000000000
χ588-88-8000000000000000004i−4i−4i4i0000000000000000000000000000000000
χ598-88-800000000000000000−4i4i4i−4i0000000000000000000000000000000000

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