Finite Group Databasebeta

← Group #281371

Character table — Group #281371

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888822444444244444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-11-1-11-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111111-1-1-1-1-1-11-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-111-1-11111-11
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-111-1-1-1-1-11
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-111-1-11111111-1
χ9111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11111-111-1-1-1-111-1-1-1-1
χ10111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111
χ12111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11111111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-11-1-1-1-111-1-111-1-111-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-11-1-1-1-11111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1111-1-1-111-1-1-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11-1-1-1111111-1-111-1-1-11
χ17222222222-2-22-2-222-2-2000000002222-2-2-2-20000000022-2-200000-20020000000000000
χ18222222222-2-22-2-222-2-2000000002222-2-2-2-200000000-2-22200000200-20000000000000
χ19222222222-2-22-2-222-2-200000000-2-2-2-2222200000000222200000-200-20000000000000
χ20222222222-2-22-2-222-2-200000000-2-2-2-2222200000000-2-2-2-20000020020000000000000
χ2122222222-222-222-2-2-2-22222-2-2-2-20000000000000000000022-2-220000-2000000000000
χ2222222222-222-222-2-2-2-22222-2-2-2-200000000000000000000-2-222-200002000000000000
χ2322222222-222-222-2-2-2-2-2-2-2-222220000000000000000000022-2-2-200002000000000000
χ2422222222-222-222-2-2-2-2-2-2-2-2222200000000000000000000-2-22220000-2000000000000
χ25222-2-22-2-22-2-2-2222-2-2200000000000000002222-2-2-2-200002i−2i2i−2i000000000000002i−2i00
χ26222-2-22-2-22-2-2-2222-2-2200000000000000002222-2-2-2-20000−2i2i−2i2i00000000000000−2i2i00
χ27222-2-22-2-22-2-2-2222-2-220000000000000000-2-2-2-2222200002i−2i2i−2i00000000000000−2i2i00
χ28222-2-22-2-22-2-2-2222-2-220000000000000000-2-2-2-222220000−2i2i−2i2i000000000000002i−2i00
χ29222-2-22-2-2-2222-2-2-22-220000000022-2-222-2-20000000000000000002i−2i002i−2i0000000000
χ30222-2-22-2-2-2222-2-2-22-220000000022-2-222-2-2000000000000000000−2i2i00−2i2i0000000000
χ31222-2-22-2-2-2222-2-2-22-2200000000-2-222-2-2220000000000000000002i−2i00−2i2i0000000000
χ32222-2-22-2-2-2222-2-2-22-2200000000-2-222-2-222000000000000000000−2i2i002i−2i0000000000
χ33222-2-22-2-2-2-2-2222-222-20000000022-2-2-2-2220000000000002i−2i−2i2i0000000000002i−2i0000
χ34222-2-22-2-2-2-2-2222-222-20000000022-2-2-2-222000000000000−2i2i2i−2i000000000000−2i2i0000
χ35222-2-22-2-2-2-2-2222-222-200000000-2-22222-2-20000000000002i−2i−2i2i000000000000−2i2i0000
χ36222-2-22-2-2-2-2-2222-222-200000000-2-22222-2-2000000000000−2i2i2i−2i0000000000002i−2i0000
χ372-2-2222-2-2-2002002-200i2i2−i2−i2i2i2−i2−i200002i−2i2i−2i22−2−222−2−22-22i−2i000000000000i2−i22−2000000
χ382-2-2222-2-2-2002002-200i2i2−i2−i2i2i2−i2−i200002i−2i2i−2i22−2−222−2−2-22−2i2i000000000000−i2i2−22000000
χ392-2-2222-2-2-2002002-200i2i2−i2−i2i2i2−i2−i20000−2i2i−2i2i−2−222−2−2222-2−2i2i000000000000i2−i2−22000000
χ402-2-2222-2-2-2002002-200i2i2−i2−i2i2i2−i2−i20000−2i2i−2i2i−2−222−2−222-222i−2i000000000000−i2i22−2000000
χ412-2-2222-2-2-2002002-200−i2−i2i2i2−i2−i2i2i200002i−2i2i−2i−2−222−2−2222-22i−2i000000000000−i2i2−22000000
χ422-2-2222-2-2-2002002-200−i2−i2i2i2−i2−i2i2i200002i−2i2i−2i−2−222−2−222-22−2i2i000000000000i2−i22−2000000
χ432-2-2222-2-2-2002002-200−i2−i2i2i2−i2−i2i2i20000−2i2i−2i2i22−2−222−2−22-2−2i2i000000000000−i2i22−2000000
χ442-2-2222-2-2-2002002-200−i2−i2i2i2−i2−i2i2i20000−2i2i−2i2i22−2−222−2−2-222i−2i000000000000i2−i2−22000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-4-44-4-4444-4-4-44-44-400000000000000000000000000000000000000000000000000
χ4744-44-4-44-40000000000000022−2222−222i2−2i22i2−2i200002i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ4844-44-4-44-40000000000000022−2222−22−2i22i2−2i22i20000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ4944-44-4-44-400000000000000−2222−22222i2−2i22i2−2i20000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ5044-44-4-44-400000000000000−2222−2222−2i22i2−2i22i200002i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ5144-4-44-4-44000000000022−2222−2200002i2−2i2−2i22i200002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ5244-4-44-4-44000000000022−2222−220000−2i22i22i2−2i20000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ5344-4-44-4-440000000000−2222−222200002i2−2i2−2i22i20000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ5444-4-44-4-440000000000−2222−22220000−2i22i22i2−2i200002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ554-444-4-4-4404-404-4000000004i−4i−4i4i000000000000000000000000000000000000000000
χ564-444-4-4-4404-404-400000000−4i4i4i−4i000000000000000000000000000000000000000000
χ574-444-4-4-440-440-44000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000
χ584-444-4-4-440-440-4400000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000
χ594-44-44-44-404-40-44000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000
χ604-44-44-44-404-40-4400000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000
χ614-44-44-44-40-4404-400004i−4i−4i4i0000000000000000000000000000000000000000000000
χ624-44-44-44-40-4404-40000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ634-4-4444-4-4400-400-44002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000000000000000
χ644-4-4444-4-4400-400-4400−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000000000000000
χ654-4-4-4-4444400400-4-4000000000000004i−4i−4i4i0000000000000000000000000000000000
χ664-4-4-4-4444400400-4-400000000000000−4i4i4i−4i0000000000000000000000000000000000
χ674-4-4-4-4444-400-400440000000000000000002222−22−22−22−22222200000000000000000000000000
χ684-4-4-4-4444-400-40044000000000000000000−22−2222222222−22−2200000000000000000000000000

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