Finite Group Databasebeta

← Group #311242

Character table — Group #311242

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882244444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111111111-1-1-1-11-1-1111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-111-1-11-1-1-1-1111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-11111-1-1-11
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11-11111-1-111-1-1-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-111-1-1111-1
χ91111111111111111-1-1-1-111111111-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-111-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-111-111-1-111-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-111111-1-111-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111-1-1-1-1-11111-1-11-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111-11-1-11-1-1-1-111-11
χ172222222222-2-22-2-222222-2-2000000-2-20000220000-2-200000000200-200000000
χ182222222222-2-22-2-222222-2-2000000-2-20000-2-200002200000000-200200000000
χ192222222222-2-22-2-22-2-2-2-2-2-2000000220000220000-2-200000000-200200000000
χ202222222222-2-22-2-22-2-2-2-2-2-2000000220000-2-200002200000000200-200000000
χ2122222222-2-222-222-20000-2-22222220022-2-200000000000000-2-2000000000000
χ2222222222-2-222-222-20000-2-22222-2-200-2-2-2-20000000000000022000000000000
χ2322222222-2-222-222-20000-2-2-2-2-2-22200-2-222000000000000002-2000000000000
χ2422222222-2-222-222-20000-2-2-2-2-2-2-2-200222200000000000000-22000000000000
χ25222-2-2-2-222-2-2-2222-20000-222i2i−2i−2i0000002i−2i0000000000002-20002i−2i000000000
χ26222-2-2-2-222-2-2-2222-20000-222i2i−2i−2i0000002i−2i000000000000-22000−2i2i000000000
χ27222-2-2-2-222-2-2-2222-20000-22−2i−2i2i2i000000−2i2i0000000000002-2000−2i2i000000000
χ28222-2-2-2-222-2-2-2222-20000-22−2i−2i2i2i000000−2i2i000000000000-220002i−2i000000000
χ29222-2-2-2-22-2222-2-2-222i2i−2i−2i-220000002i−2i00000000000022-2-2000000002i−2i000000
χ30222-2-2-2-22-2222-2-2-222i2i−2i−2i-220000002i−2i000000000000-2-22200000000−2i2i000000
χ31222-2-2-2-22-2222-2-2-22−2i−2i2i2i-22000000−2i2i00000000000022-2-200000000−2i2i000000
χ32222-2-2-2-22-2222-2-2-22−2i−2i2i2i-22000000−2i2i000000000000-2-222000000002i−2i000000
χ33222-2-2-2-22-22-2-2-22222i2i−2i−2i2-22i2i−2i−2i00−2i2i00−2i2i0022-2-20000000000000000000000
χ34222-2-2-2-22-22-2-2-22222i2i−2i−2i2-2−2i−2i2i2i00−2i2i002i−2i00-2-2220000000000000000000000
χ35222-2-2-2-22-22-2-2-2222−2i−2i2i2i2-22i2i−2i−2i002i−2i00−2i2i00-2-2220000000000000000000000
χ36222-2-2-2-22-22-2-2-2222−2i−2i2i2i2-2−2i−2i2i2i002i−2i002i−2i0022-2-20000000000000000000000
χ372-222-22-2-2002-202-200000002-22-22i−2i002i−2i00i2−i20000i2−i2i2−i2i2−i200000000002−22−200
χ382-222-22-2-2002-202-200000002-22-22i−2i002i−2i00−i2i20000−i2i2−i2i2−i2i20000000000−22−2200
χ392-222-22-2-2002-202-200000002-22-2−2i2i00−2i2i00i2−i20000i2−i2i2−i2i2−i20000000000−22−2200
χ402-222-22-2-2002-202-200000002-22-2−2i2i00−2i2i00−i2i20000−i2i2−i2i2−i2i200000000002−22−200
χ412-222-22-2-2002-202-20000000-22-222i−2i00−2i2i00i2−i20000i2−i2−i2i2−i2i20000000000−222−200
χ422-222-22-2-2002-202-20000000-22-222i−2i00−2i2i00−i2i20000−i2i2i2−i2i2−i200000000002−2−2200
χ432-222-22-2-2002-202-20000000-22-22−2i2i002i−2i00i2−i20000i2−i2−i2i2−i2i200000000002−2−2200
χ442-222-22-2-2002-202-20000000-22-22−2i2i002i−2i00−i2i20000−i2i2i2−i2i2−i20000000000−222−200
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-4-4-444-4444-4-4-400004-40000000000000000000000000000000000000000
χ4744-444-4-4-44400-400-44-44-4000000000000000000000000000000000000000000
χ4844-444-4-4-44400-400-4-44-44000000000000000000000000000000000000000000
χ4944-444-4-4-4-4-4004004000000000000000000002i2−2i22i2−2i20000000000000000000000
χ5044-444-4-4-4-4-400400400000000000000000000−2i22i2−2i22i20000000000000000000000
χ5144-4-4-444-44-400-4004000000000000000000002i2−2i2−2i22i20000000000000000000000
χ5244-4-4-444-44-400-400400000000000000000000−2i22i22i2−2i20000000000000000000000
χ5344-4-4-444-4-4400400-44i−4i−4i4i000000000000000000000000000000000000000000
χ5444-4-4-444-4-4400400-4−4i4i4i−4i000000000000000000000000000000000000000000
χ554-444-44-4-400-440-4400000000000000000002i2−2i20000−2i22i200000000000000000000
χ564-444-44-4-400-440-440000000000000000000−2i22i200002i2−2i200000000000000000000
χ574-44-44-44-4004-40-440000000000000000000000000002i2−2i2−2i22i20000000000000000
χ584-44-44-44-4004-40-44000000000000000000000000000−2i22i22i2−2i20000000000000000
χ594-44-44-44-400-4404-400000004i−4i−4i4i000000000000000000000000000000000000
χ604-44-44-44-400-4404-40000000−4i4i4i−4i000000000000000000000000000000000000
χ618-8-88-8-888000000000000000000000000000000000000000000000000000000
χ628-8-8-888-88000000000000000000000000000000000000000000000000000000

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