Finite Group Databasebeta

← Group #488608

Character table — Group #488608

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444444444444888888881616161616161616161616161616161632323232
order1222224444224444448888448888884444444416161616161616162444
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
χ51111111111-1-11-1-11111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1
χ61111111111-1-11-1-11111111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111
χ71111111111-1-11-1-11111111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111
χ81111111111-1-11-1-11111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1
χ9111111-1-11111-1-1-1-1-111111-11-1-111-1-11-11-11-11-111-1-111-1-11-11-1
χ10111111-1-11111-1-1-1-1-111111-11-1-111-1-11-11-11-11-1-1-111-1-111-11-11
χ11111111-1-11111-1-1-1-1-111111-11-1-111-1-1-11-11-11-1111-1-111-1-1-11-11
χ12111111-1-11111-1-1-1-1-111111-11-1-111-1-1-11-11-11-11-1-111-1-1111-11-1
χ13111111-1-111-1-1-111-1-1111111-1-1-1-1-1111-1-111-1-1111-1-1-1-1111-1-11
χ14111111-1-111-1-1-111-1-1111111-1-1-1-1-1111-1-111-1-11-1-11111-1-1-111-1
χ15111111-1-111-1-1-111-1-1111111-1-1-1-1-111-111-1-111-111-1-1-1-111-111-1
χ16111111-1-111-1-1-111-1-1111111-1-1-1-1-111-111-1-111-1-1-11111-1-11-1-11
χ17222222222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000
χ182222222222-2-22-2-2222-2-2-2-2-2-2-2-2222200000000000000000000
χ1922222222-2-222222-2-2-20000-2-2000000000000002−22−22−22−20000
χ2022222222-2-222222-2-2-20000-2-200000000000000−22−22−22−220000
χ2122222222-2-2-2-22-2-2-2-2-2000022000000000000002−22−2−22−220000
χ2222222222-2-2-2-22-2-2-2-2-200002200000000000000−22−222−22−20000
χ23222222-2-22222-2-2-2-2-22-2-2-2-2-2222-2-22200000000000000000000
χ24222222-2-222-2-2-222-2-22-2-2-2-22-22222-2-200000000000000000000
χ25222222-2-2-2-222-2-2-222-200002-2000000000000002−2−222−2−220000
χ26222222-2-2-2-222-2-2-222-200002-200000000000000−222−2−222−20000
χ27222222-2-2-2-2-2-2-22222-20000-22000000000000002−2−22−222−20000
χ28222222-2-2-2-2-2-2-22222-20000-2200000000000000−222−22−2−220000
χ292222-2-2222200-2002-2-222-2-2002-20000002-200-22000000000000
χ302222-2-2222200-2002-2-222-2-2002-2000000-22002-2000000000000
χ312222-2-2222200-2002-2-2-2-22200-2200002-200-2200000000000000
χ322222-2-2222200-2002-2-2-2-22200-220000-22002-200000000000000
χ332222-2-2-2-22200200-22-222-2-200-220000002200-2-2000000000000
χ342222-2-2-2-22200200-22-222-2-200-22000000-2-20022000000000000
χ352222-2-2-2-22200200-22-2-2-222002-200002200-2-200000000000000
χ362222-2-2-2-22200200-22-2-2-222002-20000-2-2002200000000000000
χ374444-4-444-4-400-400-44400000000000000000000000000000000
χ384444-4-4-4-4-4-4004004-4400000000000000000000000000000000
χ3944-4-44-400000004-400022−2222−2200000022−2200000000000000000000
χ4044-4-44-400000004-4000−2222−2222000000−222200000000000000000000
χ4144-4-44-40000000-4400022−2222−22000000−222200000000000000000000
χ4244-4-44-40000000-44000−2222−222200000022−2200000000000000000000
χ4344-4-4-4400004-400000022−22−2222000022−220000000000000000000000
χ4444-4-4-4400004-4000000−222222−220000−22220000000000000000000000
χ4544-4-4-440000-4400000022−22−22220000−22220000000000000000000000
χ4644-4-4-440000-44000000−222222−22000022−220000000000000000000000
χ478-88-8008i−8i000000000000000000000000000000000000000000
χ488-88-800−8i8i000000000000000000000000000000000000000000
χ498-8-8800008-80000000000000000000000000000000000000000
χ508-8-880000-880000000000000000000000000000000000000000

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