Finite Group Databasebeta

← Group #245995

Character table — Group #245995

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222444444244444444442444444444448888888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111-1-111-1-1-1-111-1-111-11111-11-11111-1-1-1-1-1-1
χ6111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1111111
χ7111111111111111-1-111-1-1-1-1-1-1-11-1-1111111-11-1-1-1-1-1-1-1-111
χ8111111111111111-1-111-1-1-1-1-1-1-11-1-11-1-1-1-11-1111111111-1-1
χ9111111-1-1111111-111-1-111-1-111-1-1-1-1-111-1-111111-1-111-1-11-1
χ10111111-1-1111111-111-1-111-1-111-1-1-1-1-1-1-111111-1-111-1-111-11
χ11111111-1-1111111-111-1-111-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-11
χ12111111-1-1111111-111-1-111-1-1-1-1-11111-1-111-1-1-111-1-1-1-1111-1
χ13111111-1-1111111-1-1-1-1-1-1-1111111-1-1111-1-1-11-111-1-1-1-111-11
χ14111111-1-1111111-1-1-1-1-1-1-1111111-1-11-1-111-11-1-1-11111-1-11-1
χ15111111-1-1111111-1-1-1-1-1-1-111-1-11-111-111-1-11-11-1-111-1-1111-1
χ16111111-1-1111111-1-1-1-1-1-1-111-1-11-111-1-1-1111-1111-1-111-1-1-11
χ17222222222-2-2-2-22-2222-2-2-2-2-2002000000000000000000000
χ18222222222-2-2-2-22-2-2-22-2222200-2000000000000000000000
χ1922222222-222-2-2-2200-2-2000022002-2000000-200000000000
χ2022222222-222-2-2-2200-2-20000-2-200-22000000200000000000
χ2122222222-2-2-222-2-200-220000000200-2000020-20000000000
χ2222222222-2-2-222-2-200-220000000-20020000-2020000000000
χ23222222-2-22-2-2-2-22222-22-2-22200-2000000000000000000000
χ24222222-2-22-2-2-2-222-2-2-2222-2-2002000000000000000000000
χ25222222-2-2-222-2-2-2-2002200002200-22000000-200000000000
χ26222222-2-2-222-2-2-2-200220000-2-2002-2000000200000000000
χ27222222-2-2-2-2-222-22002-20000000200-20000-2020000000000
χ28222222-2-2-2-2-222-22002-20000000-2002000020-20000000000
χ292222-2-200-22-22-2202-2002-2000000000002-20000000002-200
χ302222-2-200-22-22-2202-2002-200000000000-22000000000-2200
χ312222-2-200-22-22-220-2200-22000000000002-2000000000-2200
χ322222-2-200-22-22-220-2200-2200000000000-220000000002-200
χ332222-2-200-2-22-22202-200-220000000002-20000000002-20000
χ342222-2-200-2-22-22202-200-22000000000-22000000000-220000
χ352222-2-200-2-22-2220-22002-20000000002-2000000000-220000
χ362222-2-200-2-22-2220-22002-2000000000-220000000002-20000
χ374444-4-40044-4-44-4000000000000000000000000000000000
χ384444-4-4004-444-4-4000000000000000000000000000000000
χ3944-4-44-44-4000000000000000000000000000002-22-2000000
χ4044-4-44-44-400000000000000000000000000000-22-22000000
χ4144-4-44-4-44000000000000000000000000000002-2-22000000
χ4244-4-44-4-4400000000000000000000000000000-222-2000000
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-8000000000000000004i−4i000000000000000000000000
χ458-88-800000000000000000−4i4i000000000000000000000000
χ468-8-8800000000000000000004i−4i0000000000000000000000
χ478-8-880000000000000000000−4i4i0000000000000000000000

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