Finite Group Databasebeta

← Group #273885

Character table — Group #273885

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444888888888888888888888888881616161616161616161616163232
order12222244444444444442444444488888888888888888822244888888848
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1
χ31111111111111111111111111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-11-1-11111-1-111-1-11111111111-1-1-11-1-1-1-11-111-1-1
χ611111111111111111111-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-111
χ711111111111111111111-1-11-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-11-1-1-1-11-1-111
χ811111111111111111111-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-11-11111-1111-1-1
χ9111111111111-1-11-1-111-111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1
χ10111111111111-1-11-1-111-111-11111-1-1-1-1-1-1-1-1-1-111111111-1-1111-111-1-1-1-1-11
χ11111111111111-1-11-1-111-111-111-1-11111111111-1-1-1-11111-1-1-1-1-11-1-111-1-1-11
χ12111111111111-1-11-1-111-111-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111111-1
χ13111111111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-1111-11
χ14111111111111-1-11-1-111-1-1-1-1-1-111-1-111-1-111-1-11111111111-11-11-1-1-11-1-11-1
χ15111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111111-11-1111-1-1-11-1
χ16111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-11-111-11
χ17222222-222-22222-222-2-2-200-20022000022000000000000000-20000-200000
χ18222222-222-22222-222-2-2-200-200-2-20000-2-200000000000000020000200000
χ19222222-222-222-2-2-2-2-2-2-2200200220000-2-2000000000000000-20000200000
χ20222222-222-222-2-2-2-2-2-2-2200200-2-200002200000000000000020000-200000
χ21222222-2-2-2-2-2-200200-2202-202-20000000000002i2i−2i−2i00000000002i−2i000000
χ22222222-2-2-2-2-2-200200-2202-202-2000000000000−2i−2i2i2i0000000000−2i2i000000
χ23222222-2-2-2-2-2-200200-220-220-220000000000002i2i−2i−2i0000000000−2i2i000000
χ24222222-2-2-2-2-2-200200-220-220-22000000000000−2i−2i2i2i00000000002i−2i000000
χ252222-2-22222-2-200-200-220220-2-20022-2-20000-2-20000000000000200000000
χ262222-2-22222-2-200-200-220220-2-200-2-2220000220000000000000-200000000
χ272222-2-22222-2-200-200-220-2-20220022220000-2-20000000000000-200000000
χ282222-2-22222-2-200-200-220-2-202200-2-2-2-20000220000000000000200000000
χ292222-2-22-2-2222222-2-2-2-2200-2000000000022000000000000-2020000-20000
χ302222-2-22-2-2222222-2-2-2-2200-20000000000-2-200000000000020-2000020000
χ312222-2-22-2-2222-2-2222-2-2-200200000000002200000000000020-20000-20000
χ322222-2-22-2-2222-2-2222-2-2-20020000000000-2-2000000000000-202000020000
χ332222-2-2-2-2-2-22222-2-2-222-22-22-22000000000000000000002-2000000000000
χ342222-2-2-2-2-2-22222-2-2-222-2-2222-200000000000000000000-22000000000000
χ352222-2-2-2-2-2-222-2-2-2222222-2-2-2200000000000000000000-22000000000000
χ362222-2-2-2-2-2-222-2-2-222222-22-22-2000000000000000000002-2000000000000
χ372-22-22-202-202-22i−2i02i−2i000000002i−2ii2−i2002-200i2−i22−22−2i2i2−i2−i200000000002−200
χ382-22-22-202-202-22i−2i02i−2i000000002i−2i−i2i2002-200−i2i2−22−22−i2−i2i2i20000000000−2200
χ392-22-22-202-202-22i−2i02i−2i00000000−2i2ii2−i200-2200i2−i22−22−2−i2−i2i2i20000000000−2200
χ402-22-22-202-202-22i−2i02i−2i00000000−2i2i−i2i200-2200−i2i2−22−22i2i2−i2−i200000000002−200
χ412-22-22-202-202-2−2i2i0−2i2i000000002i−2ii2−i200-2200i2−i2−22−22−i2−i2i2i200000000002−200
χ422-22-22-202-202-2−2i2i0−2i2i000000002i−2i−i2i200-2200−i2i22−22−2i2i2−i2−i20000000000−2200
χ432-22-22-202-202-2−2i2i0−2i2i00000000−2i2ii2−i2002-200i2−i2−22−22i2i2−i2−i20000000000−2200
χ442-22-22-202-202-2−2i2i0−2i2i00000000−2i2i−i2i2002-200−i2i22−22−2−i2−i2i2i200000000002−200
χ454444444-4-44-4-400-4004-40000000000000000000000000000000000000000
χ464444-4-4-444-4-4-4004004-40000000000000000000000000000000000000000
χ4744-4-400-4004000000000000000000022−22002i2−2i20000002i−2i2i−2i00000000000000
χ4844-4-400-4004000000000000000000022−2200−2i22i2000000−2i2i−2i2i00000000000000
χ4944-4-400-40040000000000000000000−2222002i2−2i2000000−2i2i−2i2i00000000000000
χ5044-4-400-40040000000000000000000−222200−2i22i20000002i−2i2i−2i00000000000000
χ514-44-44-40-440-4400000000000000000000000002i2−2i2−2i22i2000000000000000000
χ524-44-44-40-440-440000000000000000000000000−2i22i22i2−2i2000000000000000000
χ534-44-4-4404-40-440000000000000002i2−2i2000000−2i22i20000000000000000000000
χ544-44-4-4404-40-44000000000000000−2i22i20000002i2−2i20000000000000000000000
χ554-44-4-440-4404-44i−4i0−4i4i000000000000000000000000000000000000000000
χ564-44-4-440-4404-4−4i4i04i−4i000000000000000000000000000000000000000000
χ5788-8-800800-80000000000000000000000000000000000000000000000000
χ588-8-88000000000000000000000000000000000000022−22−222200000000000000
χ598-8-880000000000000000000000000000000000000−222222−2200000000000000

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