Finite Group Databasebeta

← Group #281387

Character table — Group #281387

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888822444444444444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11111111-1-1-1-1-1-1-11
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-111-1-111111-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-111-1-1111111-11
χ9111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1
χ10111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-1-1-1-11111
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
χ12111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-11-1-111-1-111-1-1111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111111-1-1-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111-1-1-1-1-111-1-1-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11-1-1-1111111-1-111-1-11-1
χ172222222222-2-22-2-22-2-2000000002222-2-2-2-20000000022220000-200-200000000000000
χ182222222222-2-22-2-22-2-2000000002222-2-2-2-200000000-2-2-2-20000200200000000000000
χ192222222222-2-22-2-22-2-200000000-2-2-2-222220000000022-2-20000200-200000000000000
χ202222222222-2-22-2-22-2-200000000-2-2-2-2222200000000-2-2220000-200200000000000000
χ2122222222-2-222-222-2-2-22222-2-2-2-20000000000000000000022-2-200002-2000000000000
χ2222222222-2-222-222-2-2-22222-2-2-2-200000000000000000000-2-2220000-22000000000000
χ2322222222-2-222-222-2-2-2-2-2-2-222220000000000000000000022-2-20000-22000000000000
χ2422222222-2-222-222-2-2-2-2-2-2-2222200000000000000000000-2-22200002-2000000000000
χ252222-2-2-2-2-2-20020020022−2−222−2−22i2i−2i−2i0000i2i2i2i2−i2−i2−i2−i22-22i−2i0000000000002−2i2−i2000000
χ262222-2-2-2-2-2-20020020022−2−222−2−22i2i−2i−2i0000i2i2i2i2−i2−i2−i2−i2-22−2i2i000000000000−22−i2i2000000
χ272222-2-2-2-2-2-20020020022−2−222−2−2−2i−2i2i2i0000−i2−i2−i2−i2i2i2i2i22-2−2i2i0000000000002−2−i2i2000000
χ282222-2-2-2-2-2-20020020022−2−222−2−2−2i−2i2i2i0000−i2−i2−i2−i2i2i2i2i2-222i−2i000000000000−22i2−i2000000
χ292222-2-2-2-2-2-200200200−2−222−2−2222i2i−2i−2i0000−i2−i2−i2−i2i2i2i2i22-22i−2i000000000000−22−i2i2000000
χ302222-2-2-2-2-2-200200200−2−222−2−2222i2i−2i−2i0000−i2−i2−i2−i2i2i2i2i2-22−2i2i0000000000002−2i2−i2000000
χ312222-2-2-2-2-2-200200200−2−222−2−222−2i−2i2i2i0000i2i2i2i2−i2−i2−i2−i22-2−2i2i000000000000−22i2−i2000000
χ322222-2-2-2-2-2-200200200−2−222−2−222−2i−2i2i2i0000i2i2i2i2−i2−i2−i2−i2-222i−2i0000000000002−2−i2i2000000
χ3322-2-222-2-22-2-2-2222-2-22000000000000000022-2-222-2-200002i−2i2i−2i000000000000002i−2i00
χ3422-2-222-2-22-2-2-2222-2-22000000000000000022-2-222-2-20000−2i2i−2i2i00000000000000−2i2i00
χ3522-2-222-2-22-2-2-2222-2-220000000000000000-2-222-2-22200002i−2i2i−2i00000000000000−2i2i00
χ3622-2-222-2-22-2-2-2222-2-220000000000000000-2-222-2-2220000−2i2i−2i2i000000000000002i−2i00
χ3722-2-222-2-2-2222-2-2-22-22000000002-22-222-2-2000000000000000002i−2i0002i−2i0000000000
χ3822-2-222-2-2-2222-2-2-22-22000000002-22-222-2-200000000000000000−2i2i000−2i2i0000000000
χ3922-2-222-2-2-2222-2-2-22-2200000000-22-22-2-222000000000000000002i−2i000−2i2i0000000000
χ4022-2-222-2-2-2222-2-2-22-2200000000-22-22-2-22200000000000000000−2i2i0002i−2i0000000000
χ4122-2-222-2-2-22-2-2-22222-2000000002-22-2-2-2220000000000002i−2i−2i2i0000000000002i−2i0000
χ4222-2-222-2-2-22-2-2-22222-2000000002-22-2-2-222000000000000−2i2i2i−2i000000000000−2i2i0000
χ4322-2-222-2-2-22-2-2-22222-200000000-22-2222-2-20000000000002i−2i−2i2i000000000000−2i2i0000
χ4422-2-222-2-2-22-2-2-22222-200000000-22-2222-2-2000000000000−2i2i2i−2i0000000000002i−2i0000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ464444-4-4-4-44400-400-4002222−22−22−22−222222000000000000000000000000000000000000000000
χ474444-4-4-4-44400-400-400−22−2222222222−22−22000000000000000000000000000000000000000000
χ4844-4-444-4-44-4444-4-4-44-400000000000000000000000000000000000000000000000000
χ4944-4-4-4-4444-400-400400000000004i−4i−4i4i00000000000000000000000000000000000000
χ5044-4-4-4-4444-400-40040000000000−4i4i4i−4i00000000000000000000000000000000000000
χ5144-4-4-4-444-4400400-40000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000
χ5244-4-4-4-444-4400400-4000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000
χ534-44-44-44-4000000000000002i2−2i22i2−2i200002i2−2i22i2−2i22-22-22-22-200000000000000000000000000
χ544-44-44-44-4000000000000002i2−2i22i2−2i20000−2i22i2−2i22i2-22-22-22-2200000000000000000000000000
χ554-44-44-44-400000000000000−2i22i2−2i22i200002i2−2i22i2−2i2-22-22-22-2200000000000000000000000000
χ564-44-44-44-400000000000000−2i22i2−2i22i20000−2i22i2−2i22i22-22-22-22-200000000000000000000000000
χ574-44-4-44-44004-404-400000004i−4i−4i4i000000000000000000000000000000000000000000
χ584-44-4-44-44004-404-40000000−4i4i4i−4i000000000000000000000000000000000000000000
χ594-44-4-44-4400-440-4400000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000
χ604-44-4-44-4400-440-440000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000
χ614-4-444-4-4400000000002i2−2i22i2−2i2000000002i2−2i2−2i22i22-2-222-2-2200000000000000000000000000
χ624-4-444-4-4400000000002i2−2i22i2−2i200000000−2i22i22i2−2i2-222-2-222-200000000000000000000000000
χ634-4-444-4-440000000000−2i22i2−2i22i2000000002i2−2i2−2i22i2-222-2-222-200000000000000000000000000
χ644-4-444-4-440000000000−2i22i2−2i22i200000000−2i22i22i2−2i22-2-222-2-2200000000000000000000000000
χ654-4-44-444-4004-40-4400000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000
χ664-4-44-444-4004-40-440000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000
χ674-4-44-444-400-4404-40004i−4i−4i4i0000000000000000000000000000000000000000000000
χ684-4-44-444-400-4404-4000−4i4i4i−4i0000000000000000000000000000000000000000000000

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