Finite Group Databasebeta

← Group #489858

Character table — Group #489858

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444444488888888881616161616161616161616161616161632323232
order1222444424444888844444444882224448816161616161616164488
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-1111-1-11-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111-1-111-1-1111-1-11-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1
χ611111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-1-1-1-1-111-111-111-1-11111-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-111-111-111-1-1-1-1-1-1111111-1-1
χ91111-1-111-11-1-111111111-1-1-11-1-1-111-1-11-11-111-1-111-1-11-11-1
χ101111-1-111-11-1-111111111-1-1-11-1-1-111-1-11-11-1-1-111-1-111-11-11
χ111111-1-111-11-1-11111111-11-1-1-11-1-11-11-1-11-1111-1-1-1-1111-1-11
χ121111-1-111-11-1-11111111-11-1-1-11-1-11-11-1-11-11-1-11111-1-1-111-1
χ131111-1-111-11-1-111111-1-11-1111-1-1-1-1-111-111-111-1-111-1-1-11-11
χ141111-1-111-11-1-111111-1-11-1111-1-1-1-1-111-111-1-1-111-1-1111-11-1
χ151111-1-111-11-1-111111-1-1-1111-11-1-1-11-111-1-1111-1-1-1-111-111-1
χ161111-1-111-11-1-111111-1-1-1111-11-1-1-11-111-1-11-1-11111-1-11-1-11
χ172222222222222-2-2-2-200220022-2-2000000-2-2000000000000
χ182222222222222-2-2-2-200-2-200-2-2-2-200000022000000000000
χ19222222222-2-2-2-222-2-2220022002-2-200-20000000000000000
χ20222222222-2-2-2-222-2-2-2-200-2-2002-220020000000000000000
χ21222222222-2-2-2-2-2-22200000000-2202-20-2200000000000000
χ22222222222-2-2-2-2-2-22200000000-220-2202-200000000000000
χ23222222-2-2-2-22-220000002-200-2200000000002−22−22−22−20000
χ24222222-2-2-2-22-220000002-200-220000000000−22−22−22−220000
χ25222222-2-2-2-22-22000000-22002-200000000002−22−2−22−220000
χ26222222-2-2-2-22-22000000-22002-20000000000−22−222−22−20000
χ272222-2-222-22-2-22-2-2-2-2002-2002-222000000-22000000000000
χ282222-2-222-22-2-22-2-2-2-200-2200-22220000002-2000000000000
χ292222-2-222-2-222-222-2-22200-2-200-22-20020000000000000000
χ302222-2-222-2-222-222-2-2-2-2002200-22200-20000000000000000
χ312222-2-222-2-222-2-2-222000000002-20220-2-200000000000000
χ322222-2-222-2-222-2-2-222000000002-20-2-202200000000000000
χ332222-2-2-2-22-2-2220000002200-2-200000000002−2−222−2−220000
χ342222-2-2-2-22-2-2220000002200-2-20000000000−222−2−222−20000
χ352222-2-2-2-22-2-222000000-2-2002200000000002−2−22−222−20000
χ362222-2-2-2-22-2-222000000-2-200220000000000−222−22−2−220000
χ37444444-4-4-44-44-40000000000000000000000000000000000
χ384444-4-4-4-4444-4-40000000000000000000000000000000000
χ394-4-44004-4000004-40000004i−4i000000000000000000000000
χ404-4-44004-4000004-4000000−4i4i000000000000000000000000
χ414-4-44004-400000-44004i−4i0000000000000000000000000000
χ424-4-44004-400000-4400−4i4i0000000000000000000000000000
χ4388-8-80000000000042−42000000000000000000000000000000
χ4488-8-800000000000−4242000000000000000000000000000000
χ458-88-88i−8i00000000000000000000000000000000000000000
χ468-88-8−8i8i00000000000000000000000000000000000000000
χ478-8-8800-88000000000000000000000000000000000000000

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