Finite Group Databasebeta

← Group #247294

Character table — Group #247294

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444442224444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-1111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-111111-1-1-11111-1-1-1-11111-1-1
χ91111111111111111-1-1-1-111111111-1-1111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ101111111111111111-1-1-1-111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1
χ111111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1
χ121111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111
χ131111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1111111-1-1-1-1-11-1-1-1-11111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-11111-11-1-11111-1-111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-11-11111-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-111111-111-1-1-1-11111-1-111-1-1
χ172222222222-2-222-2-2000022-2-2-2-2-2-20022200-2-200000000002-20000000000000000
χ182222222222-2-222-2-2000022-2-2-2-2-2-2002-2-200220000000000-220000000000000000
χ192222222222-2-222-2-20000-2-22222-2-200-22200220000000000-2-20000000000000000
χ202222222222-2-222-2-20000-2-22222-2-200-2-2-200-2-20000000000220000000000000000
χ2122222222-2-222-2-222222222-2-222-2-2-2-2-2002200-2-200000000000000000000000000
χ2222222222-2-222-2-2222222-2-222-2-2-2-2-2-2200-2-2002200000000000000000000000000
χ2322222222-2-222-2-222-2-2-2-222-2-222-2-222-200-2-2002200000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-222-2-2-2-2222002200-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-200002222-2-22200-20000000000000000002-2002-20000000000
χ2622222222-2-2-2-2-2-2-2-200002222-2-22200-2000000000000000000-2200-220000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-2-2-222220020000000000000000002-200-220000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-2-2-22222002000000000000000000-22002-20000000000
χ2922-2-22-22-2002-2002-22i2i−2i−2i2i−2i002i−2i00000002-2000022−2−2i2i2−i2−i20000000000i2−i22−20000
χ3022-2-22-22-2002-2002-22i2i−2i−2i2i−2i002i−2i00000002-20000−2−222−i2−i2i2i20000000000−i2i2−220000
χ3122-2-22-22-2002-2002-22i2i−2i−2i−2i2i00−2i2i0000000-22000022−2−2−i2−i2i2i20000000000i2−i2−220000
χ3222-2-22-22-2002-2002-22i2i−2i−2i−2i2i00−2i2i0000000-220000−2−222i2i2−i2−i20000000000−i2i22−20000
χ3322-2-22-22-2002-2002-2−2i−2i2i2i2i−2i002i−2i0000000-22000022−2−2i2i2−i2−i20000000000−i2i2−220000
χ3422-2-22-22-2002-2002-2−2i−2i2i2i2i−2i002i−2i0000000-220000−2−222−i2−i2i2i20000000000i2−i22−20000
χ3522-2-22-22-2002-2002-2−2i−2i2i2i−2i2i00−2i2i00000002-2000022−2−2−i2−i2i2i20000000000−i2i22−20000
χ3622-2-22-22-2002-2002-2−2i−2i2i2i−2i2i00−2i2i00000002-20000−2−222i2i2−i2−i20000000000i2−i2−220000
χ372-2-2-2-22222-2-2-22-2222-22-20000002-22-200000000000000000000000002-20000002-2
χ382-2-2-2-22222-2-2-22-2222-22-20000002-22-20000000000000000000000000-22000000-22
χ392-2-2-2-22222-2-2-22-222-22-220000002-2-2200000000000000000000000002-2000000-22
χ402-2-2-2-22222-2-2-22-222-22-220000002-2-220000000000000000000000000-220000002-2
χ412-2-2-2-2222-22-2-2-22222-22-2000000-22-220000000000000000000002-2000000002-200
χ422-2-2-2-2222-22-2-2-22222-22-2000000-22-22000000000000000000000-2200000000-2200
χ432-2-2-2-2222-22-2-2-2222-22-22000000-222-20000000000000000000002-200000000-2200
χ442-2-2-2-2222-22-2-2-2222-22-22000000-222-2000000000000000000000-22000000002-200
χ45444-4-44-4-44-400-440000000000000000000000000000022−2222−22000000000000000000
χ46444-4-44-4-44-400-4400000000000000000000000000000−2222−2222000000000000000000
χ47444-4-44-4-4-44004-4000000000000000000000000022−2222−220000000000000000000000
χ48444-4-44-4-4-44004-40000000000000000000000000−2222−22220000000000000000000000
χ4944-44-4-4-44000000000000004i−4i0000000000000002-2-222i−2i−2i2i000000000000000000
χ5044-44-4-4-44000000000000004i−4i000000000000000-222-2−2i2i2i−2i000000000000000000
χ5144-44-4-4-4400000000000000−4i4i0000000000000002-2-22−2i2i2i−2i000000000000000000
χ5244-44-4-4-4400000000000000−4i4i000000000000000-222-22i−2i−2i2i000000000000000000
χ5344-4-44-44-400-4400-4400004i−4i00−4i4i000000000000000000000000000000000000000
χ5444-4-44-44-400-4400-440000−4i4i004i−4i000000000000000000000000000000000000000
χ554-444-4-44-4004-400-440000000000000000000004i−4i00000000000000000000000000
χ564-444-4-44-4004-400-44000000000000000000000−4i4i00000000000000000000000000
χ574-444-4-44-400-44004-44i−4i−4i4i000000000000000000000000000000000000000000000
χ584-444-4-44-400-44004-4−4i4i4i−4i000000000000000000000000000000000000000000000
χ594-4-4444-4-44400-4-4000000000000000004-400000000000000000000000000000000
χ604-4-4444-4-44400-4-400000000000000000-4400000000000000000000000000000000
χ614-4-4444-4-4-4-400440000000000000000000004i−4i0000000000000000000000000000
χ624-4-4444-4-4-4-40044000000000000000000000−4i4i0000000000000000000000000000
χ634-4-4-4-44444-4444-4-4-40000000000-440000000000000000000000000000000000000
χ644-4-4-4-4444-4444-44-4-400000000004-40000000000000000000000000000000000000
χ658-88-88-8-88000000000000000000000000000000000000000000000000000000000

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