Finite Group Databasebeta

← Group #258608

Character table — Group #258608

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1
χ511111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1-1-1-1-1-111111-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-111111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-11111-1-1-1-1111-1-1-1-1-111-1-11111-1-1
χ811111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-1-1-111
χ91111111111111111-1-1-1-11111111111-1-111-1-11-1-1111111111-1-1-1-1-1-11-1-11111-1-1-1-1
χ101111111111111111-1-1-1-11111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-11111
χ111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111111-1111111-111-1-1-1-1-1-1-1-1
χ121111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111111111
χ131111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-111111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-11111-11111-1-11-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1111111-1-1-1-11-1-11111-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1-1-111111-1-1-1-111-11111-1-111-1-1
χ1722222222222-2-2-2-22000022-2-2-2-2-2-22200-2-200200000000002000000-20000000000
χ1822222222222-2-2-2-22000022-2-2-2-2-2-2-2-200220020000000000-200000020000000000
χ1922222222222-2-2-2-220000-2-22222-2-222002200-20000000000-2000000-20000000000
χ2022222222222-2-2-2-220000-2-22222-2-2-2-200-2-200-20000000000200000020000000000
χ2122222222-2-2-22222-222222222-2-2-2-2002200-2-2-2-2-200000000000000000000000000
χ2222222222-2-2-22222-22222-2-2-2-222-2-200-2-200-2-222200000000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-22222-2-2-2-200-2-20022-22200000000000000000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2-2-222-2-2002200222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2000022-2-2222200000000-2000000000002-2002-200000000000
χ2622222222-2-2-2-2-2-2-2-2000022-2-2222200000000-200000000000-2200-2200000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-222-2-222000000002000000000002-200-2200000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-222-2-22200000000200000000000-22002-200000000000
χ2922-22-2-2-2222-22-22-2-22i2i−2i−2i000000-220000002i−2i000000000000002i−2i000002-2000000
χ3022-22-2-2-2222-22-22-2-22i2i−2i−2i000000-220000002i−2i00000000000000−2i2i00000-22000000
χ3122-22-2-2-2222-22-22-2-2−2i−2i2i2i000000-22000000−2i2i000000000000002i−2i00000-22000000
χ3222-22-2-2-2222-22-22-2-2−2i−2i2i2i000000-22000000−2i2i00000000000000−2i2i000002-2000000
χ3322-22-2-2-22-2-222-22-222i2i−2i−2i0000002-2000000−2i2i00000000000000000002-2002i−2i0000
χ3422-22-2-2-22-2-222-22-222i2i−2i−2i0000002-2000000−2i2i0000000000000000000-2200−2i2i0000
χ3522-22-2-2-22-2-222-22-22−2i−2i2i2i0000002-20000002i−2i00000000000000000002-200−2i2i0000
χ3622-22-2-2-22-2-222-22-22−2i−2i2i2i0000002-20000002i−2i0000000000000000000-22002i−2i0000
χ372-2-222-22-20002-2-2202i−2i2i−2i2i−2i2i−2i0000002-2000000022−2−2i2i2−i2−i200000000000000i2−i22−2
χ382-2-222-22-20002-2-2202i−2i2i−2i2i−2i2i−2i0000002-20000000−2−222−i2−i2i2i200000000000000−i2i2−22
χ392-2-222-22-20002-2-2202i−2i2i−2i−2i2i−2i2i000000-22000000022−2−2−i2−i2i2i200000000000000i2−i2−22
χ402-2-222-22-20002-2-2202i−2i2i−2i−2i2i−2i2i000000-220000000−2−222i2i2−i2−i200000000000000−i2i22−2
χ412-2-222-22-20002-2-220−2i2i−2i2i2i−2i2i−2i000000-22000000022−2−2i2i2−i2−i200000000000000−i2i2−22
χ422-2-222-22-20002-2-220−2i2i−2i2i2i−2i2i−2i000000-220000000−2−222−i2−i2i2i200000000000000i2−i22−2
χ432-2-222-22-20002-2-220−2i2i−2i2i−2i2i−2i2i0000002-2000000022−2−2−i2−i2i2i200000000000000−i2i22−2
χ442-2-222-22-20002-2-220−2i2i−2i2i−2i2i−2i2i0000002-20000000−2−222i2i2−i2−i200000000000000i2−i2−22
χ45444-4-4-44-44-440000-40000000000004-400000000000000000000000000000000000
χ46444-4-4-44-44-440000-4000000000000-4400000000000000000000000000000000000
χ47444-4-4-44-4-44-40000400000000000000004i−4i0000000000000000000000000000000
χ48444-4-4-44-4-44-4000040000000000000000−4i4i0000000000000000000000000000000
χ4944-44-4-4-4444-4-44-44-400000000004-40000000000000000000000000000000000000
χ5044-44-4-4-44-4-44-44-4440000000000-440000000000000000000000000000000000000
χ5144-4-444-4-44-4-400004000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ5244-4-444-4-44-4-40000400000000000000000000000−2i22i2−2i22i20000000000000000000000
χ5344-4-444-4-4-4440000-400000000000000000000000000022−2222−22000000000000000000
χ5444-4-444-4-4-4440000-4000000000000000000000000000−2222−2222000000000000000000
χ554-444-44-4-400044-4-404-4-44000000000000000000000000000000000000000000000
χ564-444-44-4-400044-4-40-444-4000000000000000000000000000000000000000000000
χ574-444-44-4-4000-4-44400000000000000000000004i−4i00000000000000000000000000
χ584-444-44-4-4000-4-4440000000000000000000000−4i4i00000000000000000000000000
χ594-44-44-4-4400000000000000004-400000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ604-44-44-4-4400000000000000004-40000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ614-44-44-4-440000000000000000-4400000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ624-44-44-4-440000000000000000-440000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ634-4-444-44-4000-444-4000004i−4i−4i4i00000000000000000000000000000000000000000
χ644-4-444-44-4000-444-400000−4i4i4i−4i00000000000000000000000000000000000000000
χ658-8-8-8-8888000000000000000000000000000000000000000000000000000000000

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