Finite Group Databasebeta

← Group #277826

Character table — Group #277826

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444888888888888244444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1111-1-111-1-1-1-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-11
χ511111111111111111111-1-1-1-111111111111111-1-11-1-11-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111-1-11111-1-111-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-111-1-11-1
χ9111111111111111111-1-1111111-1-111-1-111-1-1-1-111111-1-1-1-1-1-1-111-1-1-11
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-111-1-1111-1
χ11111111111111111111-1-11111-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1
χ12111111111111111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ13111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11-1-1-11111-1-111111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-111-111-1-1111111-1-1
χ172222222222-2-22-22-2-2-2220000222200-2-200000000-200-2000000000000
χ182222222222-2-22-22-2-2-2220000-2-2-2-2002200000000200-2000000000000
χ192222222222-2-22-22-2-2-2-2-2000022-2-2002200000000-2002000000000000
χ202222222222-2-22-22-2-2-2-2-20000-2-22200-2-2000000002002000000000000
χ2122222222-2-222-22-22-2-20022-2-200002200-2-200002-20000000000000000
χ2222222222-2-222-22-22-2-20022-2-20000-2-200220000-220000000000000000
χ2322222222-2-222-22-22-2-200-2-22200002200-2-20000-220000000000000000
χ2422222222-2-222-22-22-2-200-2-2220000-2-2002200002-20000000000000000
χ252-22-2-222-222-2-2-22-222-2002-22-200000000002i2i−2i−2i000000000000002i−2i00
χ262-22-2-222-222-2-2-22-222-2002-22-20000000000−2i−2i2i2i00000000000000−2i2i00
χ272-22-2-222-222-2-2-22-222-200-22-2200000000002i2i−2i−2i00000000000000−2i2i00
χ282-22-2-222-222-2-2-22-222-200-22-220000000000−2i−2i2i2i000000000000002i−2i00
χ292-22-2-222-2-2-2222-22-22-2000000002-2002-20000000002i−2i02i−2i0000000000
χ302-22-2-222-2-2-2222-22-22-2000000002-2002-2000000000−2i2i0−2i2i0000000000
χ312-22-2-222-2-2-2222-22-22-200000000-2200-220000000002i−2i0−2i2i0000000000
χ322-22-2-222-2-2-2222-22-22-200000000-2200-22000000000−2i2i02i−2i0000000000
χ332-22-2-222-2-2-2-2-22222-22002-2-22002-200-22000000000000002-200000000
χ342-22-2-222-2-2-2-2-22222-22002-2-2200-22002-200000000000000-2200000000
χ352-22-2-222-2-2-2-2-22222-2200-222-2002-200-2200000000000000-2200000000
χ362-22-2-222-2-2-2-2-22222-2200-222-200-22002-2000000000000002-200000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ38444-4-4-4-444-40040-400000000000000000000000000000000022−22000000
χ39444-4-4-4-444-40040-4000000000000000000000000000000000−2222000000
χ40444-4-4-4-44-4400-4040004i−4i000000000000000000000000000000000000
χ41444-4-4-4-44-4400-404000−4i4i000000000000000000000000000000000000
χ4244-44-44-4-4004-4040-40000000000004-400000000000000000000000000
χ4344-44-44-4-4004-4040-4000000000000-4400000000000000000000000000
χ4444-44-44-4-400-440-4040000000000000000002i2−2i22i2−2i2000000000000000000
χ4544-44-44-4-400-440-404000000000000000000−2i22i2−2i22i2000000000000000000
χ464-4444-4-4-44-400-4040000000004i−4i000000000000000000000000000000
χ474-4444-4-4-44-400-404000000000−4i4i000000000000000000000000000000
χ484-4444-4-4-4-440040-40000000000000000000000000000000000022−220000
χ494-4444-4-4-4-440040-400000000000000000000000000000000000−22220000
χ504-44-4-444-44444-4-4-4-4-4400000000000000000000000000000000000000
χ514-4-4-444-44004-40-40400000000000000000022−22−2222000000000000000000
χ524-4-4-444-44004-40-404000000000000000000−222222−22000000000000000000
χ534-4-4-444-4400-44040-400000000000000004i−4i0000000000000000000000
χ544-4-4-444-4400-44040-40000000000000000−4i4i0000000000000000000000
χ5588-8-88-88-8000000000000000000000000000000000000000000000000
χ568-8-88-8-888000000000000000000000000000000000000000000000000

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