Finite Group Databasebeta

← Group #267244

Character table — Group #267244

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222222244444444444444222244444888888888888888844448888888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-1
χ1011111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111-11
χ1211111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111-1-11-1
χ1311111111-1-1-1-111111111-1-1-1-111-1-111-1-111-111-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-11
χ1411111111-1-1-1-111111111-1-1-1-111-1-111-1-111-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111-1
χ1511111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1111-1
χ1611111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1-11
χ1722222222222222-2-22-2-2222-2-2-2-22222-2-2-2-2-2000000000000000000000000000000
χ1822222222222222-2-22-2-2222-2-2-2-2-2-2-2-22222-2000000000000000000000000000000
χ19222222222222-2-222-222-2-2-222-2-200000000-22222-2-2-2-20000000000000000000000
χ20222222222222-2-222-222-2-2-222-2-200000000-2-2-2-2-222220000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-22200000000200000000000000000000002i−2i2i−2i0000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2220000000020000000000000000000000−2i2i−2i2i0000
χ2322222222-2-2-2-222-2-22-2-22-2-222-2-222-2-2-2-2222000000000000000000000000000000
χ2422222222-2-2-2-222-2-22-2-22-2-222-2-2-2-22222-2-22000000000000000000000000000000
χ2522222222-2-2-2-2-2-222-222-222-2-2-2-200000000222-2-2-2-2220000000000000000000000
χ2622222222-2-2-2-2-2-222-222-222-2-2-2-2000000002-2-22222-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-200000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-20000000000000000000000−2i2i2i−2i0000
χ2922-2-2-222-222-2-200220-2-20002-20000000000000002i−2i2i−2ii2i2−i2−i2i2i2−i2−i200002−200002−200
χ3022-2-2-222-222-2-200220-2-20002-20000000000000002i−2i2i−2i−i2−i2i2i2−i2−i2i2i20000−220000−2200
χ3122-2-2-222-222-2-200220-2-20002-2000000000000000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i20000−220000−2200
χ3222-2-2-222-222-2-200220-2-20002-2000000000000000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i200002−200002−200
χ3322-2-2-222-2-2-22200220-2-2000-220000000000000002i−2i−2i2ii2i2−i2−i2−i2−i2i2i200002−20000−2200
χ3422-2-2-222-2-2-22200220-2-2000-220000000000000002i−2i−2i2i−i2−i2i2i2i2i2−i2−i20000−2200002−200
χ3522-2-2-222-2-2-22200220-2-2000-22000000000000000−2i2i2i−2ii2i2−i2−i2−i2−i2i2i20000−2200002−200
χ3622-2-2-222-2-2-22200220-2-2000-22000000000000000−2i2i2i−2i−i2−i2i2i2i2i2−i2−i200002−20000−2200
χ372-2-2-22-22200002-22-2-22-2200002-2002-2002-200000000000002-22-22-2000000000000
χ382-2-2-22-22200002-22-2-22-2200002-2002-2002-20000000000000-22-22-22000000000000
χ392-2-2-22-22200002-22-2-22-2200002-200-2200-2200000000000002-22-2-22000000000000
χ402-2-2-22-22200002-22-2-22-2200002-200-2200-220000000000000-22-222-2000000000000
χ412-2-2-22-22200002-2-22-2-2220000-22002-200-220000000002-22-20000002-20000000000
χ422-2-2-22-22200002-2-22-2-2220000-22002-200-22000000000-22-22000000-220000000000
χ432-2-2-22-22200002-2-22-2-2220000-2200-22002-20000000002-22-2000000-220000000000
χ442-2-2-22-22200002-2-22-2-2220000-2200-22002-2000000000-22-220000002-20000000000
χ45444-44-4-4-400004-400400-40000004-40000000000000000000000000000000000000
χ46444-44-4-4-400004-400400-4000000-440000000000000000000000000000000000000
χ47444-44-4-4-40000-4400-400400000000004i−4i000000000000000000000000000000000
χ48444-44-4-4-40000-4400-40040000000000−4i4i000000000000000000000000000000000
χ4944-4-4-444-444-4-400-4-4044000-4400000000000000000000000000000000000000000
χ5044-4-4-444-4-4-44400-4-40440004-400000000000000000000000000000000000000000
χ514-444-4-44-40000004-40-4400000000000000000000000000002i2−2i2−2i22i200000000000000
χ524-444-4-44-40000004-40-440000000000000000000000000000−2i22i22i2−2i200000000000000
χ534-444-4-44-4000000-4404-40000000000000000000000002i2−2i2−2i22i2000000000000000000
χ544-444-4-44-4000000-4404-4000000000000000000000000−2i22i22i2−2i2000000000000000000
χ554-44-4-44-444-44-40000000000000000000000022−2222−2200000000000000000000000000
χ564-44-4-44-444-44-400000000000000000000000−2222−222200000000000000000000000000
χ574-44-4-44-44-44-440000000000000000000000022−22−222200000000000000000000000000
χ584-44-4-44-44-44-4400000000000000000000000−222222−2200000000000000000000000000
χ594-4-4444-4-44-4-444400-400-44-40000000000000000000000000000000000000000000
χ604-4-4444-4-44-4-44-4-4004004-440000000000000000000000000000000000000000000
χ614-4-4444-4-4-444-44400-400-4-440000000000000000000000000000000000000000000
χ624-4-4444-4-4-444-4-4-40040044-40000000000000000000000000000000000000000000
χ634-4-4-44-4440000-444-444-4-40000-44000000000000000000000000000000000000000
χ644-4-4-44-4440000-44-444-44-400004-4000000000000000000000000000000000000000
χ6588-88-8-8-88000000000000000000000000000000000000000000000000000000000

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