Finite Group Databasebeta

← Group #508127

Character table — Group #508127

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222222244444488888888881616161616161616161616161616161632323232
order1222222244444424888844448888884444444416161616161616164444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1
χ91111-1-11111-1-111-1-111111-11-1-1-111-1-11-11-11-11-111-1-111-1-11-11-1
χ101111-1-11111-1-111-1-111111-11-1-1-111-1-11-11-11-11-1-1-111-1-111-11-11
χ111111-1-11111-1-111-1-111111-11-1-1-111-1-1-11-11-11-1111-1-111-1-1-11-11
χ121111-1-11111-1-111-1-111111-11-1-1-111-1-1-11-11-11-11-1-111-1-1111-11-1
χ131111-1-11111-1-111-1-11111-11-11-1-1-1-1111-1-111-1-1111-1-1-1-1111-1-11
χ141111-1-11111-1-111-1-11111-11-11-1-1-1-1111-1-111-1-11-1-11111-1-1-111-1
χ151111-1-11111-1-111-1-11111-11-11-1-1-1-111-111-1-111-111-1-1-1-111-111-1
χ161111-1-11111-1-111-1-11111-11-11-1-1-1-111-111-1-111-1-1-11111-1-11-1-11
χ172222222222222222-2-2-2-22222-2-2-2-2-2-200000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ1922222222-2-2-2-2-2-22-2000022-2-2000000000000002−22−22−22−20000
χ2022222222-2-2-2-2-2-22-2000022-2-200000000000000−22−22−22−220000
χ2122222222-2-2-2-2-2-22-20000-2-222000000000000002−22−2−22−220000
χ2222222222-2-2-2-2-2-22-20000-2-22200000000000000−22−222−22−20000
χ23222222-2-2-2-2-2-222-2222-2-200002-20000002200-2-2000000000000
χ24222222-2-2-2-2-2-222-2222-2-200002-2000000-2-20022000000000000
χ25222222-2-2-2-2-2-222-22-2-2220000-2200002200-2-200000000000000
χ26222222-2-2-2-2-2-222-22-2-2220000-220000-2-2002200000000000000
χ272222-2-22222-2-222-2-2-2-2-2-22-22-222-2-22200000000000000000000
χ282222-2-22222-2-222-2-2-2-2-2-2-22-222222-2-200000000000000000000
χ292222-2-222-2-222-2-2-2200002-2-22000000000000002−2−222−2−220000
χ302222-2-222-2-222-2-2-2200002-2-2200000000000000−222−2−222−20000
χ312222-2-222-2-222-2-2-220000-222-2000000000000002−2−22−222−20000
χ322222-2-222-2-222-2-2-220000-222-200000000000000−222−22−2−220000
χ332222-2-2-2-2-2-222222-222-2-20000-220000002-200-22000000000000
χ342222-2-2-2-2-2-222222-222-2-20000-22000000-22002-2000000000000
χ352222-2-2-2-2-2-222222-2-2-22200002-200002-200-2200000000000000
χ362222-2-2-2-2-2-222222-2-2-22200002-20000-22002-200000000000000
χ37444444-4-44444-4-4-4-40000000000000000000000000000000000
χ384444-4-4-4-444-4-4-4-4440000000000000000000000000000000000
χ3944-4-4004-44-4004-4000000000000004-400000000000000000000
χ4044-4-4004-44-4004-400000000000000-4400000000000000000000
χ4144-4-4004-4-4400-44004-44-4000000000000000000000000000000
χ4244-4-4004-4-4400-4400-44-44000000000000000000000000000000
χ4344-4-400-444-400-44004-4-44000000000000000000000000000000
χ4444-4-400-444-400-4400-444-4000000000000000000000000000000
χ4544-4-400-44-44004-40000000000004-40000000000000000000000
χ4644-4-400-44-44004-4000000000000-440000000000000000000000
χ478-88-88-800000000000000000000000000000000000000000000
χ488-88-8-8800000000000000000000000000000000000000000000
χ498-8-880000008i−8i00000000000000000000000000000000000000
χ508-8-88000000−8i8i00000000000000000000000000000000000000

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