Finite Group Databasebeta

← Group #281297

Character table — Group #281297

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882222444444448888888888888824444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ51111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-111-11
χ11111111111111111111-1-1-1-111-1-111111111-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1111-1
χ12111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-11111-1-11-1
χ13111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1111-1-1-1-1-1-1111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1111111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-1-111-1-111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-111-1-111-1-111-11
χ172222222222-2-22-2-22-2-22222002200220000-2-2000000000000-2-2000000000000
χ182222222222-2-22-2-22-2-2222200-2-200-2-20000-2-200000000000022000000000000
χ192222222222-2-22-2-22-2-2-2-2-2-2002200-2-20000220000000000002-2000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-200-2-20022000022000000000000-22000000000000
χ2122222222-2-222-222-2-2-200002200-2-20022-2-20022-2-20000000000000000000000
χ2222222222-2-222-222-2-2-200002200-2-200-2-22200-2-2220000000000000000000000
χ2322222222-2-222-222-2-2-20000-2-200220022-2-200-2-2220000000000000000000000
χ2422222222-2-222-222-2-2-20000-2-2002200-2-2220022-2-20000000000000000000000
χ2522-22-2-2-22-2200200-2002i2i−2i−2i002-2002i−2i000000i2−i2i2−i2000022−2−200000000i2−i22−200
χ2622-22-2-2-22-2200200-2002i2i−2i−2i002-2002i−2i000000−i2i2−i2i20000−2−22200000000−i2i2−2200
χ2722-22-2-2-22-2200200-2002i2i−2i−2i00-2200−2i2i000000i2−i2i2−i2000022−2−200000000−i2i2−2200
χ2822-22-2-2-22-2200200-2002i2i−2i−2i00-2200−2i2i000000−i2i2−i2i20000−2−22200000000i2−i22−200
χ2922-22-2-2-22-2200200-200−2i−2i2i2i002-200−2i2i000000i2−i2i2−i20000−2−22200000000i2−i2−2200
χ3022-22-2-2-22-2200200-200−2i−2i2i2i002-200−2i2i000000−i2i2−i2i2000022−2−200000000−i2i22−200
χ3122-22-2-2-22-2200200-200−2i−2i2i2i00-22002i−2i000000i2−i2i2−i20000−2−22200000000−i2i22−200
χ3222-22-2-2-22-2200200-200−2i−2i2i2i00-22002i−2i000000−i2i2−i2i2000022−2−200000000i2−i2−2200
χ332-2222-2-2-22-2-2-2222-2-220000000000002i−2i2i−2i0000002i2i−2i−2i2-22-200000000000000
χ342-2222-2-2-22-2-2-2222-2-220000000000002i−2i2i−2i000000−2i−2i2i2i-22-2200000000000000
χ352-2222-2-2-22-2-2-2222-2-22000000000000−2i2i−2i2i0000002i2i−2i−2i-22-2200000000000000
χ362-2222-2-2-22-2-2-2222-2-22000000000000−2i2i−2i2i000000−2i−2i2i2i2-22-200000000000000
χ372-2222-2-2-2-2222-2-2-22-222-22-20000000000002-2000000000000002i−2i2i−2i00000000
χ382-2222-2-2-2-2222-2-2-22-222-22-20000000000002-200000000000000−2i2i−2i2i00000000
χ392-2222-2-2-2-2222-2-2-22-22-22-22000000000000-22000000000000002i−2i−2i2i00000000
χ402-2222-2-2-2-2222-2-2-22-22-22-22000000000000-2200000000000000−2i2i2i−2i00000000
χ412-2222-2-2-2-22-2-2-22222-22-22-2000000002i−2i−2i2i-220000000000000000002i−2i000000
χ422-2222-2-2-2-22-2-2-22222-22-22-200000000−2i2i2i−2i-22000000000000000000−2i2i000000
χ432-2222-2-2-2-22-2-2-22222-2-22-22000000002i−2i−2i2i2-2000000000000000000−2i2i000000
χ442-2222-2-2-2-22-2-2-22222-2-22-2200000000−2i2i2i−2i2-20000000000000000002i−2i000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ4644-44-4-4-444-400-4004000000000000000000002i2−2i2−2i22i20000000000000000000000
χ4744-44-4-4-444-400-400400000000000000000000−2i22i22i2−2i20000000000000000000000
χ4844-4-444-4-4004-404-400000000000000000000000002i2−2i22i2−2i2000000000000000000
χ4944-4-444-4-4004-404-40000000000000000000000000−2i22i2−2i22i2000000000000000000
χ5044-4-444-4-400-440-44000000000004i−4i0000000000000000000000000000000000
χ5144-4-444-4-400-440-4400000000000−4i4i0000000000000000000000000000000000
χ524-4444-4-4-44-4444-4-4-44-400000000000000000000000000000000000000000000
χ534-4-44-444-44400-400-4004i−4i−4i4i0000000000000000000000000000000000000000
χ544-4-44-444-44400-400-400−4i4i4i−4i0000000000000000000000000000000000000000
χ554-4-44-444-4-4-4004004000000000000000000000000000022−22−222200000000000000
χ564-4-44-444-4-4-40040040000000000000000000000000000−222222−2200000000000000
χ574-4-4-44-444004-40-4400000004-400000000000000000000000000000000000000
χ584-4-4-44-444004-40-440000000-4400000000000000000000000000000000000000
χ594-4-4-44-44400-4404-4000000000000000000000000022−22−2222000000000000000000
χ604-4-4-44-44400-4404-40000000000000000000000000−222222−22000000000000000000
χ61888-8-8-88-8000000000000000000000000000000000000000000000000000000
χ628-88-8-88-88000000000000000000000000000000000000000000000000000000

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