Finite Group Databasebeta

← Group #245672

Character table — Group #245672

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222444444222224444442244444444444444888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11-111-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11-111-111-11-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-11-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111-1-1-1-1-1-11111111-11-1-11-111-11111-1-1-1-1-1-1
χ6111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ7111111111111111-1-1-1-1-1-11-1-11-11111-1111-1-11-1-1-1-1-1-1-1-111
χ8111111111111111-1-1-1-1-1-11-1-11-1-1-11-1-11-11-1-1111111111-1-1
χ911111111-1-11111-111-1-111-111-111-111-11-1-1-1-1-111-1-111-1-11-1
χ1011111111-1-11111-111-1-111-111-11-111-1-111-1-1-1-1-1-111-1-111-11
χ1111111111-1-11111-111-1-111-1-1-1-1-11-1-11-1-1-11111-1-11111-1-1-11
χ1211111111-1-11111-111-1-111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111-1
χ1311111111-1-11111-1-1-111-1-1-111-111-1-111-1-11-1-1111-1-1-1-111-11
χ1411111111-1-11111-1-1-111-1-1-111-11-11-1-11-111-1-11-1-11111-1-11-1
χ1511111111-1-11111-1-1-111-1-1-1-1-1-1-11-11111-1-111-1-1-111-1-1111-1
χ1611111111-1-11111-1-1-111-1-1-1-1-1-1-1-111-1111-111-111-1-111-1-1-11
χ172222222222-2-2-2-2-2000000-2222-2000000002-200000000000
χ182222222222-2-2-2-2-2000000-2-2-22200000000-2200000000000
χ1922222222-2-2-2-2-2-22000000222-2-200000000-2200000000000
χ2022222222-2-2-2-2-2-220000002-2-2-22000000002-200000000000
χ21222222-2-2222-2-22-222-2-2-2-2200-20000020000000000000000
χ22222222-2-2222-2-22-2-2-22222200-200000-20000000000000000
χ23222222-2-222-222-22000000-200-2000200-20-20020000000000
χ24222222-2-222-222-22000000-200-2000-20020200-20000000000
χ25222222-2-2-2-22-2-2222222-2-2-200200000-20000000000000000
χ26222222-2-2-2-22-2-222-2-2-2-222-20020000020000000000000000
χ27222222-2-2-2-2-222-2-20000002002000200-20200-20000000000
χ28222222-2-2-2-2-222-2-20000002002000-20020-20020000000000
χ292222-2-22-200-22-2202-2002-200000020000-200000000002-200
χ302222-2-22-200-22-2202-2002-2000000-2000020000000000-2200
χ312222-2-22-200-22-220-2200-2200000020000-20000000000-2200
χ322222-2-22-200-22-220-2200-22000000-20000200000000002-200
χ332222-2-2-2200-2-22202-200-2200000200-2000000000002-20000
χ342222-2-2-2200-2-22202-200-2200000-200200000000000-220000
χ352222-2-2-2200-2-2220-22002-200000200-200000000000-220000
χ362222-2-2-2200-2-2220-22002-200000-2002000000000002-20000
χ374444-4-44-4004-44-4000000000000000000000000000000000
χ384444-4-4-440044-4-4000000000000000000000000000000000
χ394-44-44-4004i−4i0000000000000000000000000002-22i−2i000000
χ404-44-44-4004i−4i000000000000000000000000000-22−2i2i000000
χ414-44-44-400−4i4i0000000000000000000000000002-2−2i2i000000
χ424-44-44-400−4i4i000000000000000000000000000-222i−2i000000
χ4388-8-80000000000000000004i−4i00000000000000000000000
χ4488-8-8000000000000000000−4i4i00000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-8800000000000004-40000000000000000000000000000
χ478-8-880000000000000-440000000000000000000000000000

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