Finite Group Databasebeta

← Group #274032

Character table — Group #274032

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244488888888888888888888161616161616161616161616161616163232
order12222244444444422222444448888888888244448888888888848
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-1
χ31111111111111111111-1-1-111-111-1-1-1-1-1-1-1-1111-1-1-111-1-11-1-1-1111-1
χ41111111111111111111-1-1-111-1-1-1-1-1-1-11111111-1-1-1-1-111-111-1-1-1-11
χ511111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-11111111-1-1-1-1-1
χ611111111111111111-1-1111111-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-1-111-11111111111-1-1-1-1-1111-1-11-1-11-1-1-11
χ811111111111111111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1111111-1
χ9111111111111111-1-111111-1-111111-1-1-1-1-1-1-11-1-1-11-1111-1-1-1-1-1-111
χ10111111111111111-1-111111-1-11-1-111-1-11111-11-1-1-111-1-1-1111-111-1-1
χ11111111111111111-1-111-1-1-1-1-1-111-1-1111111-11-111-1-11-1-1-1111-1-11-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111-11-1111-1-1111-11
χ13111111111111111-1-1-1-1111-1-1111-1-11111111-11-1-1-1-1111-1-1-1111-1-1
χ14111111111111111-1-1-1-1111-1-11-1-1-1-111-1-1-1-11-11-1-1-11-1-1-11111-1-111
χ15111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11111-11-1-1-111-111-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111111-1111-1-1-1-1-11-1
χ17222222-2222-22-2-2-200222-2-200200220000000-2000-2000000000000
χ18222222-2222-22-2-2-20022-22200-200-2-20000000-20002000000000000
χ19222222-2222-22-2-2-200-2-22-2-200200-2-2000000020002000000000000
χ20222222-2222-22-2-2-200-2-2-22200-2002200000002000-2000000000000
χ21222222-2-2-2-2-2-222-22-2000002-200000000000000000002i−2i02i−2i00000
χ22222222-2-2-2-2-2-222-22-2000002-20000000000000000000−2i2i0−2i2i00000
χ23222222-2-2-2-2-2-222-2-2200000-2200000000000000000002i−2i0−2i2i00000
χ24222222-2-2-2-2-2-222-2-2200000-220000000000000000000−2i2i02i−2i00000
χ252222-2-222-2-2222-2-200002-2200-20000220000-2020000000000-20000
χ262222-2-222-2-2222-2-200002-2200-20000-2-2000020-2000000000020000
χ272222-2-222-2-2222-2-20000-22-2002000022000020-20000000000-20000
χ282222-2-222-2-2222-2-20000-22-20020000-2-20000-202000000000020000
χ292222-2-22-2222-2-22-22200000-2-2022000000000000002-200-20000000
χ302222-2-22-2222-2-22-22200000-2-20-2-200000000000000-220020000000
χ312222-2-22-2222-2-22-2-2-2000002202200000000000000-2-20020000000
χ322222-2-22-2222-2-22-2-2-200000220-2-2000000000000002200-20000000
χ332222-2-2-22-2-2-22-2222-20022-2-22-200000000000002-20000000000000
χ342222-2-2-22-2-2-22-2222-200-2-22-2220000000000000-220000000000000
χ352222-2-2-22-2-2-22-222-220022-22-2-20000000000000-220000000000000
χ362222-2-2-22-2-2-22-222-2200-2-222-2200000000000002-20000000000000
χ374444444-4-4-44-4-4-4400000000000000000000000000000000000000
χ384444-4-4-4-444-4-44-4400000000000000000000000000000000000000
χ394-44-4004000-40000000000000022−22002i2−2i22i2i−2i−2i000000000000000000
χ404-44-4004000-40000000000000022−2200−2i22i2−2i−2i2i2i000000000000000000
χ414-44-4004000-400000000000000−2222002i2−2i2−2i−2i2i2i000000000000000000
χ424-44-4004000-400000000000000−222200−2i22i22i2i−2i−2i000000000000000000
χ434-4-444-4044-40-400000000000000000002i2−2i22i2−2i2000000000000000000
χ444-4-444-4044-40-40000000000000000000−2i22i2−2i22i2000000000000000000
χ454-4-444-40-4-4404000004-40000000000000000000000000000000000
χ464-4-444-40-4-440400000-440000000000000000000000000000000000
χ474-4-44-4404-440-400000000000000000000000000000000000002i2−2i200
χ484-4-44-4404-440-40000000000000000000000000000000000000−2i22i200
χ494-4-44-440-44-4040000000000000004-4000000000000000000000000
χ504-4-44-440-44-404000000000000000-44000000000000000000000000
χ5188-8-800000000000000000000000000022−22−2222000000000000000000
χ5288-8-8000000000000000000000000000−222222−22000000000000000000
χ538-88-800-80008000000000000000000000000000000000000000000

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