Finite Group Databasebeta

← Group #258602

Character table — Group #258602

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1
χ511111111111111111111-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111111-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-1111-1-1-1-1-111-1-11111-1-1
χ811111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1-1-1111111111-1-1-1-1-111-1-1-1-111
χ91111111111111111-1-1-1-1111111111-1-111-1-1-1-111111111111-1-1-1-1-1-11-1-11111-1-1-1-1
χ101111111111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-11111
χ111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1111111-111-1-1-1-1-1-1-1-1
χ121111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111111111
χ131111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-11111-1-1-1-1-111-1-1-1-111111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-1-1-11111-11111-1-11-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1-1-11-1-11111-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-111111-1-1-1-111-11111-1-111-1-1
χ172222222222-2-2-222-2222222-2-222-2-2-2-2-200-2-2220000000000000000000000000000
χ182222222222-2-2-222-22222-2-222-2-2-2-222200-2-2-2-20000000000000000000000000000
χ192222222222-2-2-222-2-2-2-2-222-2-222-2-2-2220022-2-20000000000000000000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-222-2-2-2-22-2-20022220000000000000000000000000000
χ2122222222-2-2222-2-2200002222-2-2-2-2-2002200002200000000-2000000-20000000000
χ2222222222-2-2222-2-2200002222-2-2-2-2-200-2-20000-2-200000000200000020000000000
χ2322222222-2-2222-2-220000-2-2-2-222-2-2200220000-2-2000000002000000-20000000000
χ2422222222-2-2222-2-220000-2-2-2-222-2-2200-2-200002200000000-200000020000000000
χ2522222222-2-2-2-2-2-2-2-2000022-2-2-2-222200000000000000000002-2002-200000000000
χ2622222222-2-2-2-2-2-2-2-2000022-2-2-2-22220000000000000000000-2200-2200000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-2222222-200000000000000000002-200-2200000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-2222222-20000000000000000000-22002-200000000000
χ2922-22-2-22-2-2-20002202i2i−2i−2i2-2002-20000000002i−2i00i2i2−i2−i2i2i2−i2−i2000000000000002−22−2
χ3022-22-2-22-2-2-20002202i2i−2i−2i2-2002-20000000002i−2i00−i2−i2i2i2−i2−i2i2i200000000000000−22−22
χ3122-22-2-22-2-2-20002202i2i−2i−2i-2200-22000000000−2i2i00i2i2−i2−i2−i2−i2i2i2000000000000002−2−22
χ3222-22-2-22-2-2-20002202i2i−2i−2i-2200-22000000000−2i2i00−i2−i2i2i2i2i2−i2−i200000000000000−222−2
χ3322-22-2-22-2-2-2000220−2i−2i2i2i2-2002-2000000000−2i2i00i2i2−i2−i2i2i2−i2−i200000000000000−22−22
χ3422-22-2-22-2-2-2000220−2i−2i2i2i2-2002-2000000000−2i2i00−i2−i2i2i2−i2−i2i2i2000000000000002−22−2
χ3522-22-2-22-2-2-2000220−2i−2i2i2i-2200-220000000002i−2i00i2i2−i2−i2−i2−i2i2i200000000000000−222−2
χ3622-22-2-22-2-2-2000220−2i−2i2i2i-2200-220000000002i−2i00−i2−i2i2i2i2i2−i2−i2000000000000002−2−22
χ3722-2-22-2-222-222-22-2-22i−2i2i−2i000000-22000002i−2i0000000000000002i−2i000002-2000000
χ3822-2-22-2-222-222-22-2-22i−2i2i−2i000000-22000002i−2i000000000000000−2i2i00000-22000000
χ3922-2-22-2-222-222-22-2-2−2i2i−2i2i000000-2200000−2i2i0000000000000002i−2i00000-22000000
χ4022-2-22-2-222-222-22-2-2−2i2i−2i2i000000-2200000−2i2i000000000000000−2i2i000002-2000000
χ4122-2-22-2-222-2-2-222-222i−2i2i−2i0000002-200000−2i2i000000000000000000002-2002i−2i0000
χ4222-2-22-2-222-2-2-222-222i−2i2i−2i0000002-200000−2i2i00000000000000000000-2200−2i2i0000
χ4322-2-22-2-222-2-2-222-22−2i2i−2i2i0000002-2000002i−2i000000000000000000002-200−2i2i0000
χ4422-2-22-2-222-2-2-222-22−2i2i−2i2i0000002-2000002i−2i00000000000000000000-22002i−2i0000
χ45444-4-44-4-44-4000-44000000000000004-40000000000000000000000000000000000
χ46444-4-44-4-44-4000-4400000000000000-440000000000000000000000000000000000
χ47444-4-44-4-4-440004-404-4-44000000000000000000000000000000000000000000000
χ48444-4-44-4-4-440004-40-444-4000000000000000000000000000000000000000000000
χ4944-44-4-44-444000-4-4000004-400-44000000000000000000000000000000000000000
χ5044-44-4-44-444000-4-400000-44004-4000000000000000000000000000000000000000
χ5144-4-44-4-44-4444-4-44-400000000004-40000000000000000000000000000000000000
χ5244-4-44-4-44-44-4-44-4440000000000-440000000000000000000000000000000000000
χ534-444-4-4-44000000000000004i−4i0000000000000002-22-22i−2i2i−2i000000000000000000
χ544-444-4-4-44000000000000004i−4i000000000000000-22-22−2i2i−2i2i000000000000000000
χ554-444-4-4-4400000000000000−4i4i0000000000000002-22-2−2i2i−2i2i000000000000000000
χ564-444-4-4-4400000000000000−4i4i000000000000000-22-222i−2i2i−2i000000000000000000
χ574-44-44-44-4004-4400-40000000000000004-400000000000000000000000000000000
χ584-44-44-44-4004-4400-4000000000000000-4400000000000000000000000000000000
χ594-44-44-44-400-44-40040000000000000000000004i−4i00000000000000000000000000
χ604-44-44-44-400-44-4004000000000000000000000−4i4i00000000000000000000000000
χ614-4-4444-4-4004-4-4004000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ624-4-4444-4-4004-4-400400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ634-4-4444-4-400-44400-400000000000000000000000000022−22−2222000000000000000000
χ644-4-4444-4-400-44400-4000000000000000000000000000−222222−22000000000000000000
χ658-8-8-8-8888000000000000000000000000000000000000000000000000000000000

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