Finite Group Databasebeta

← Group #277643

Character table — Group #277643

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488884444444444448888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ51111111111111111111111-1-11111-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
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
χ9111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-111-1-1-11
χ10111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-111-11
χ11111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-111111-111-1-1-1-1-1-1111-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1-1111111-1-11-1
χ13111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1111-1
χ14111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-11111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-11-1-111-1-111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1111-1-111-1-111-11
χ172222222222-2-22-22-2-2-2222222000022000000-2-20000000000-2-2000000000000
χ182222222222-2-22-22-2-2-22222-2-20000-2-2000000-2-2000000000022000000000000
χ192222222222-2-22-22-2-2-2-2-2-2-2220000-2-2000000220000000000-22000000000000
χ202222222222-2-22-22-2-2-2-2-2-2-2-2-20000220000002200000000002-2000000000000
χ2122222222-2-222-22-22-2-2000000222200-2-2-2-222000000-2-2000000000000000000
χ2222222222-2-222-22-22-2-200000022-2-200-2-222-2-200000022000000000000000000
χ2322222222-2-222-22-22-2-2000000-2-2220022-2-2-2-200000022000000000000000000
χ2422222222-2-222-22-22-2-2000000-2-2-2-200222222000000-2-2000000000000000000
χ2522-22-22-2-22-200-2020002i2i−2i−2i2-200002i−2i00002−20000002−2i2i2−i2−i2000000002−2i2−i200
χ2622-22-22-2-22-200-2020002i2i−2i−2i2-200002i−2i0000−22000000−22−i2−i2i2i200000000−22−i2i200
χ2722-22-22-2-22-200-2020002i2i−2i−2i-220000−2i2i00002−20000002−2i2i2−i2−i200000000−22−i2i200
χ2822-22-22-2-22-200-2020002i2i−2i−2i-220000−2i2i0000−22000000−22−i2−i2i2i2000000002−2i2−i200
χ2922-22-22-2-22-200-202000−2i−2i2i2i2-20000−2i2i00002−20000002−2−i2−i2i2i2000000002−2−i2i200
χ3022-22-22-2-22-200-202000−2i−2i2i2i2-20000−2i2i0000−22000000−22i2i2−i2−i200000000−22i2−i200
χ3122-22-22-2-22-200-202000−2i−2i2i2i-2200002i−2i00002−20000002−2−i2−i2i2i200000000−22i2−i200
χ3222-22-22-2-22-200-202000−2i−2i2i2i-2200002i−2i0000−22000000−22i2i2−i2−i2000000002−2−i2i200
χ332-2-222-2-2222-2-2-22-222-2000000002-200002-200002i2i−2i−2i002i−2i2i−2i00000000000000
χ342-2-222-2-2222-2-2-22-222-2000000002-200002-20000−2i−2i2i2i00−2i2i−2i2i00000000000000
χ352-2-222-2-2222-2-2-22-222-200000000-220000-2200002i2i−2i−2i00−2i2i−2i2i00000000000000
χ362-2-222-2-2222-2-2-22-222-200000000-220000-220000−2i−2i2i2i002i−2i2i−2i00000000000000
χ372-2-222-2-22-2-2222-22-22-22-22-2000000000000002-20000000000002i−2i2i−2i00000000
χ382-2-222-2-22-2-2222-22-22-22-22-2000000000000002-2000000000000−2i2i−2i2i00000000
χ392-2-222-2-22-2-2222-22-22-2-22-2200000000000000-220000000000002i−2i−2i2i00000000
χ402-2-222-2-22-2-2222-22-22-2-22-2200000000000000-22000000000000−2i2i2i−2i00000000
χ412-2-222-2-22-2-2-2-22222-222-22-200002-20000-2200-2200000000000000002-2000000
χ422-2-222-2-22-2-2-2-22222-222-22-20000-2200002-200-220000000000000000-22000000
χ432-2-222-2-22-2-2-2-22222-22-22-2200002-20000-22002-20000000000000000-22000000
χ442-2-222-2-22-2-2-2-22222-22-22-220000-2200002-2002-200000000000000002-2000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ46444-4-4-4-44004-4040-4000000000000004-4000000000000000000000000000000
χ47444-4-4-4-44004-4040-400000000000000-44000000000000000000000000000000
χ48444-4-4-4-4400-440-40400000000000000000000002i2−2i22i2−2i200000000000000000000
χ49444-4-4-4-4400-440-4040000000000000000000000−2i22i2−2i22i200000000000000000000
χ5044-44-44-4-4-440040-4000000000000000000022−22000000−2222000000000000000000
χ5144-44-44-4-4-440040-40000000000000000000−222200000022−22000000000000000000
χ524-444-4-44-44-40040-40000000000000000000000000000022−22−222200000000000000
χ534-444-4-44-44-40040-400000000000000000000000000000−222222−2200000000000000
χ544-444-4-44-4-4400-4040004i−4i−4i4i0000000000000000000000000000000000000000
χ554-444-4-44-4-4400-404000−4i4i4i−4i0000000000000000000000000000000000000000
χ564-4-444-4-444444-4-4-4-4-4400000000000000000000000000000000000000000000
χ574-4-4-4-4444004-40-404000000000000000000000022−22−222200000000000000000000
χ584-4-4-4-4444004-40-4040000000000000000000000−222222−2200000000000000000000
χ594-4-4-4-444400-44040-4000000004i−4i000000000000000000000000000000000000
χ604-4-4-4-444400-44040-400000000−4i4i000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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