Finite Group Databasebeta

← Group #268347

Character table — Group #268347

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12224424444444244444488882444444488888888888828
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1
χ3111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-111
χ51111111111111111-1-1-1-1111-1-1-11-1-11-1111-11-111111-1-1-1-1-1
χ61111111111111111-1-1-1-1111-1-1-1-11-1-11-1-1-11-11-1-1111-1-1-111
χ71111111111111111-1-1-1-11-1-111-11-1-11-1-1-11-11-1-1-1-1-1-111111
χ81111111111111111-1-1-1-11-1-111-1-11-1-1111-11-1111-1-1-1111-1-1
χ9111111111-1-1111-1-11111-11111-111-111-1-1-1-1-1-1111-1-11-1-11-1
χ10111111111-1-1111-1-11111-11111-1-1-1-1-1-1111111-1-11-1-11-1-1-11
χ11111111111-1-1111-1-11111-1-1-1-1-1-111-11111-1-1-1-1-1-1-111-111-11
χ12111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1111-1
χ13111111111-1-1111-1-1-1-1-1-1-111-1-111-111-1-1-1-11-11111-1-1-111-11
χ14111111111-1-1111-1-1-1-1-1-1-111-1-11-111-11111-11-1-1-11-1-1-1111-1
χ15111111111-1-1111-1-1-1-1-1-1-1-1-11111-111-111-11-11-1-1-1111-1-11-1
χ16111111111-1-1111-1-1-1-1-1-1-1-1-1111-111-11-1-11-11-111-1111-1-1-11
χ172222222-2-2222-2-2-2222-2-2-20000200-2000000000000000000
χ182222222-2-2222-2-2-22-2-222-20000-2002000000000000000000
χ192222222-2-2-2-22-2-22-222-2-220000-2002000000000000000000
χ202222222-2-2-2-22-2-22-2-2-22220000200-2000000000000000000
χ21222222-22-222-22-22-20000-2000000200-200020-20000000000
χ22222222-22-222-22-22-20000-2000000-2002000-2020000000000
χ23222222-22-2-2-2-22-2-2200002000000200-2000-2020000000000
χ24222222-22-2-2-2-22-2-2200002000000-200200020-20000000000
χ25222222-2-2222-2-22-2-20000200000200-200020-200000000000
χ26222222-2-2222-2-22-2-20000200000-2002000-20200000000000
χ27222222-2-22-2-2-2-22220000-200000200-2000-20200000000000
χ28222222-2-22-2-2-2-22220000-200000-200200020-200000000000
χ292222-2-2-222002-2-2002-22-2000000000000000000002i−2i02i−2i00
χ302222-2-2-222002-2-2002-22-200000000000000000000−2i2i0−2i2i00
χ312222-2-2-222002-2-200-22-22000000000000000000002i−2i0−2i2i00
χ322222-2-2-222002-2-200-22-2200000000000000000000−2i2i02i−2i00
χ332222-2-2-2-2-200222002-2-220222200000000000000-200-20000
χ342222-2-2-2-2-200222002-2-220-2-2-2-20000000000000020020000
χ352222-2-2-2-2-20022200-222-2022-2-200000000000000-20020000
χ362222-2-2-2-2-20022200-222-20-2-22200000000000000200-20000
χ374444-4-444-400-4-44000000000000000000000000000000000
χ384444-4-44-4400-44-4000000000000000000000000000000000
χ394-4-444-40004i−4i000000000000000000002-200002i−2i00000000
χ404-4-444-40004i−4i00000000000000000000-220000−2i2i00000000
χ414-4-444-4000−4i4i000000000000000000002-20000−2i2i00000000
χ424-4-444-4000−4i4i00000000000000000000-2200002i−2i00000000
χ4388-8-800000000000000000004i−4i0000000000000000000000
χ4488-8-80000000000000000000−4i4i0000000000000000000000
χ458-88-8000000000000000004i−4i000000000000000000000000
χ468-88-800000000000000000−4i4i000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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