Finite Group Databasebeta

← Group #277608

Character table — Group #277608

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882244444444448888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ51111111111111111111111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-111-1-11-1
χ10111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1111-1
χ11111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-111-11
χ12111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-11111-1-1-11
χ13111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111111-111-1-1-1-1-1-111-11
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1-1111111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-11-1-111-1-111-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1111-1-111-1-1111-1
χ172222222222-2-2-222-2-2-2222200222200000000-2-20000000000-2-2000000000000
χ182222222222-2-2-222-2-2-2222200-2-2-2-200000000-2-2000000000022000000000000
χ192222222222-2-2-222-2-2-2-2-2-2-20022-2-200000000220000000000-22000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-200-2-222000000002200000000002-2000000000000
χ2122222222-2-2222-2-22-2-20000220000-2-222-2-222000000-2-2000000000000000000
χ2222222222-2-2222-2-22-2-20000220000-2-2-2-222-2-200000022000000000000000000
χ2322222222-2-2222-2-22-2-20000-2-200002222-2-2-2-200000022000000000000000000
χ2422222222-2-2222-2-22-2-20000-2-2000022-2-22222000000-2-2000000000000000000
χ2522-2-22-2-222-20002-200022-2-2002i−2i2i−2i000000i2−i2000000i2−i2i2i2−i2−i2000000002−22−200
χ2622-2-22-2-222-20002-200022-2-2002i−2i2i−2i000000−i2i2000000−i2i2−i2−i2i2i200000000−22−2200
χ2722-2-22-2-222-20002-200022-2-200−2i2i−2i2i000000i2−i2000000i2−i2i2i2−i2−i200000000−22−2200
χ2822-2-22-2-222-20002-200022-2-200−2i2i−2i2i000000−i2i2000000−i2i2−i2−i2i2i2000000002−22−200
χ2922-2-22-2-222-20002-2000-2-222002i−2i−2i2i000000i2−i2000000i2−i2−i2−i2i2i2000000002−2−2200
χ3022-2-22-2-222-20002-2000-2-222002i−2i−2i2i000000−i2i2000000−i2i2i2i2−i2−i200000000−222−200
χ3122-2-22-2-222-20002-2000-2-22200−2i2i2i−2i000000i2−i2000000i2−i2−i2−i2i2i200000000−222−200
χ3222-2-22-2-222-20002-2000-2-22200−2i2i2i−2i000000−i2i2000000−i2i2i2i2−i2−i2000000002−2−2200
χ332-2-2-2222-222-2-22-2-222-20000000000002-22-200002i2i−2i−2i002i−2i2i−2i00000000000000
χ342-2-2-2222-222-2-22-2-222-20000000000002-22-20000−2i−2i2i2i00−2i2i−2i2i00000000000000
χ352-2-2-2222-222-2-22-2-222-2000000000000-22-2200002i2i−2i−2i00−2i2i−2i2i00000000000000
χ362-2-2-2222-222-2-22-2-222-2000000000000-22-220000−2i−2i2i2i002i−2i2i−2i00000000000000
χ372-2-2-2222-2-2-222-222-22-22-22-2000000000000002-20000000000002i−2i2i−2i00000000
χ382-2-2-2222-2-2-222-222-22-22-22-2000000000000002-2000000000000−2i2i−2i2i00000000
χ392-2-2-2222-2-2-222-222-22-2-22-2200000000000000-220000000000002i−2i−2i2i00000000
χ402-2-2-2222-2-2-222-222-22-2-22-2200000000000000-22000000000000−2i2i2i−2i00000000
χ412-2-2-2222-2-2-2-2-22222-222-22-2000000002-2-2200-2200000000000000002-2000000
χ422-2-2-2222-2-2-2-2-22222-222-22-200000000-222-200-220000000000000000-22000000
χ432-2-2-2222-2-2-2-2-22222-22-22-22000000002-2-22002-20000000000000000-22000000
χ442-2-2-2222-2-2-2-2-22222-22-22-2200000000-222-2002-200000000000000002-2000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ46444-4-44-4-4004-4400-4000000000000000000000022−2222−2200000000000000000000
χ47444-4-44-4-4004-4400-40000000000000000000000−2222−222200000000000000000000
χ48444-4-44-4-400-44-40040000000000004i−4i00000000000000000000000000000000
χ49444-4-44-4-400-44-4004000000000000−4i4i00000000000000000000000000000000
χ5044-4-44-4-44-44000-4400000000000000000002i2−2i2000000−2i22i2000000000000000000
χ5144-4-44-4-44-44000-440000000000000000000−2i22i20000002i2−2i2000000000000000000
χ524-4444-4-4-44-4000-440000000000000000000000000000022−22−222200000000000000
χ534-4444-4-4-44-4000-4400000000000000000000000000000−222222−2200000000000000
χ544-4444-4-4-4-440004-40004-4-440000000000000000000000000000000000000000
χ554-4444-4-4-4-440004-4000-444-40000000000000000000000000000000000000000
χ564-4-44-44-44004-4-40040000004-400000000000000000000000000000000000000
χ574-4-44-44-44004-4-4004000000-4400000000000000000000000000000000000000
χ584-4-44-44-4400-44400-400000000000000000000002i2−2i2−2i22i200000000000000000000
χ594-4-44-44-4400-44400-40000000000000000000000−2i22i22i2−2i200000000000000000000
χ604-4-4-4444-44444-4-4-4-4-4400000000000000000000000000000000000000000000
χ6188-88-8-88-8000000000000000000000000000000000000000000000000000000
χ628-88-8-8-888000000000000000000000000000000000000000000000000000000

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