Finite Group Databasebeta

← Group #276604

Character table — Group #276604

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-11-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-11111111111-1-1-1-111-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-11
χ1111111111-1-1-1-11111111111-1-1-1-111-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-11
χ1211111111-1-1-1-11111111111-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-11-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1111-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-11
χ172222222222222-2-2-2-2222-2-2-2-22222-2-2-222-2-2000000000000000000000000000000
χ182222222222222-2-2-2-2222-2-2-2-222-2-2-222-2-222000000000000000000000000000000
χ19222222222222-22222-2-2-2-2-222-2-200-200000022-2-222-2-20000000000000000000000
χ20222222222222-22222-2-2-2-2-222-2-200-2000000-2-222-2-2220000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-222-2-2-2-2002000000000000000000000000002i−2i2i−2i000000
χ22222222222222-2-2-2-2-2-2-2-222-2-2-2-200200000000000000000000000000−2i2i−2i2i000000
χ2322222222-2-2-2-22-2-2-2-2222-2-222-2-2222-2-2-2-222000000000000000000000000000000
χ2422222222-2-2-2-22-2-2-2-2222-2-222-2-2-2-222222-2-2000000000000000000000000000000
χ2522222222-2-2-2-2-22222-2-2-2-2-2-2-22200200000022-2-2-2-2220000000000000000000000
χ2622222222-2-2-2-2-22222-2-2-2-2-2-2-222002000000-2-22222-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200-2000000000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200-200000000000000000000000000−2i2i2i−2i000000
χ2922-22-22-2-20000-222-2-22-222-20000000002i−2i2i−2i00000000000022-2-2002i−2i0000000000
χ3022-22-22-2-20000-222-2-22-222-20000000002i−2i2i−2i000000000000-2-22200−2i2i0000000000
χ3122-22-22-2-20000-222-2-22-222-2000000000−2i2i−2i2i00000000000022-2-200−2i2i0000000000
χ3222-22-22-2-20000-222-2-22-222-2000000000−2i2i−2i2i000000000000-2-222002i−2i0000000000
χ3322-22-22-2-20000-2-2-2222-22-220000000002i−2i−2i2i000000002i2i−2i−2i00002-2000000000000
χ3422-22-22-2-20000-2-2-2222-22-220000000002i−2i−2i2i00000000−2i−2i2i2i0000-22000000000000
χ3522-22-22-2-20000-2-2-2222-22-22000000000−2i2i2i−2i000000002i2i−2i−2i0000-22000000000000
χ3622-22-22-2-20000-2-2-2222-22-22000000000−2i2i2i−2i00000000−2i−2i2i2i00002-2000000000000
χ372-222-2-2-222i2i−2i−2i02-22-2000002i−2i00000000000002i−2i002-22−22−2i2−i2i2−i200000000i2−i22−200
χ382-222-2-2-222i2i−2i−2i02-22-2000002i−2i00000000000002i−2i002-2−22−22−i2i2−i2i200000000−i2i2−2200
χ392-222-2-2-222i2i−2i−2i02-22-2000002i−2i0000000000000−2i2i00-222−22−2i2−i2i2−i200000000−i2i2−2200
χ402-222-2-2-222i2i−2i−2i02-22-2000002i−2i0000000000000−2i2i00-22−22−22−i2i2−i2i200000000i2−i22−200
χ412-222-2-2-22−2i−2i2i2i02-22-200000−2i2i00000000000002i−2i00-222−22−2−i2i2−i2i200000000i2−i2−2200
χ422-222-2-2-22−2i−2i2i2i02-22-200000−2i2i00000000000002i−2i00-22−22−22i2−i2i2−i200000000−i2i22−200
χ432-222-2-2-22−2i−2i2i2i02-22-200000−2i2i0000000000000−2i2i002-22−22−2−i2i2−i2i200000000−i2i22−200
χ442-222-2-2-22−2i−2i2i2i02-22-200000−2i2i0000000000000−2i2i002-2−22−22i2−i2i2−i200000000i2−i2−2200
χ45444-44-4-4-44-44-40000000000000000000000022−220022−22000000000000000000000000
χ46444-44-4-4-44-44-400000000000000000000000−222200−2222000000000000000000000000
χ47444-44-4-4-4-44-440000000000000000000000022−2200−2222000000000000000000000000
χ48444-44-4-4-4-44-4400000000000000000000000−22220022−22000000000000000000000000
χ4944-44-44-4-40000444-4-4-44-4-440000000000000000000000000000000000000000000
χ5044-44-44-4-400004-4-444-44-44-40000000000000000000000000000000000000000000
χ514-444-4-4-444i4i−4i−4i0-44-4400000−4i4i00000000000000000000000000000000000000000
χ524-444-4-4-44−4i−4i4i4i0-44-44000004i−4i00000000000000000000000000000000000000000
χ534-44-4-444-44i−4i−4i4i40000-4-4400004i−4i000000000000000000000000000000000000000
χ544-44-4-444-44i−4i−4i4i-4000044-40000−4i4i000000000000000000000000000000000000000
χ554-44-4-444-4−4i4i4i−4i40000-4-440000−4i4i000000000000000000000000000000000000000
χ564-44-4-444-4−4i4i4i−4i-4000044-400004i−4i000000000000000000000000000000000000000
χ574-4-444-44-4000004-4-440000000000000000000000000000002i2−2i2−2i22i200000000000000
χ584-4-444-44-4000004-4-44000000000000000000000000000000−2i22i22i2−2i200000000000000
χ594-4-444-44-400000-444-4000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ604-4-444-44-400000-444-400000000000000000000000000−2i22i22i2−2i2000000000000000000
χ614-4-4-444-440000400004-4-40000000004i−4i0000000000000000000000000000000000
χ624-4-4-444-440000400004-4-4000000000−4i4i0000000000000000000000000000000000
χ634-4-4-444-440000-40000-4440000004-40000000000000000000000000000000000000
χ644-4-4-444-440000-40000-444000000-440000000000000000000000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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