Finite Group Databasebeta

← Group #307440

Character table — Group #307440

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-11-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-111-11
χ71111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-11-1-1111-1-1-1-111-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-11111-1-11-1
χ91111111111111111-1-1-1-1111111-1-11111111111-1-1-1-11111-111-1-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-1-111-11111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1111-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111-1-1-111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1111-1-11-1-111-1-1-11
χ172222222222-2-222-2-22222-2-20000-2-200000022-2-2000000002000000-200000000
χ182222222222-2-222-2-22222-2-20000-2-2000000-2-22200000000-2000000200000000
χ192222222222-2-222-2-2-2-2-2-2-2-200002200000022-2-200000000-2000000200000000
χ202222222222-2-222-2-2-2-2-2-2-2-2000022000000-2-222000000002000000-200000000
χ2122222222-2-222-2-2220000-2-22222002222-2-20000000000000-2-20000000000000
χ2222222222-2-222-2-2220000-2-2222200-2-2-2-2-2-20000000000000220000000000000
χ2322222222-2-222-2-2220000-2-2-2-2-2-20022-2-2220000000000000-220000000000000
χ2422222222-2-222-2-2220000-2-2-2-2-2-200-2-2222200000000000002-20000000000000
χ2522-2-2-222-22222-2-2-2-22i2i−2i−2i-2222-2-22i−2i00002-200002i2i−2i−2i00000000000000000000
χ2622-2-2-222-22222-2-2-2-22i2i−2i−2i-22-2-2222i−2i0000-220000−2i−2i2i2i00000000000000000000
χ2722-2-2-222-22222-2-2-2-2−2i−2i2i2i-2222-2-2−2i2i00002-20000−2i−2i2i2i00000000000000000000
χ2822-2-2-222-22222-2-2-2-2−2i−2i2i2i-22-2-222−2i2i0000-2200002i2i−2i−2i00000000000000000000
χ2922-2-2-222-222-2-2-2-2222i2i−2i−2i2-20000−2i2i000000000000002i2i−2i−2i000000002-2000000
χ3022-2-2-222-222-2-2-2-2222i2i−2i−2i2-20000−2i2i00000000000000−2i−2i2i2i00000000-22000000
χ3122-2-2-222-222-2-2-2-222−2i−2i2i2i2-200002i−2i000000000000002i2i−2i−2i00000000-22000000
χ3222-2-2-222-222-2-2-2-222−2i−2i2i2i2-200002i−2i00000000000000−2i−2i2i2i000000002-2000000
χ3322-2-2-222-2-2-22222-2-200002-222-2-2000000-220000000000000002i−2i2i−2i000000000
χ3422-2-2-222-2-2-22222-2-200002-222-2-2000000-22000000000000000−2i2i−2i2i000000000
χ3522-2-2-222-2-2-22222-2-200002-2-2-2220000002-20000000000000002i−2i−2i2i000000000
χ3622-2-2-222-2-2-22222-2-200002-2-2-2220000002-2000000000000000−2i2i2i−2i000000000
χ372-222-2-22-2002-2002-20000002-22-2002i−2i2i−2i00i2−i2i2−i20000i2−i2i2−i200000000002−22−200
χ382-222-2-22-2002-2002-20000002-22-2002i−2i2i−2i00−i2i2−i2i20000−i2i2−i2i20000000000−22−2200
χ392-222-2-22-2002-2002-20000002-22-200−2i2i−2i2i00i2−i2i2−i20000i2−i2i2−i20000000000−22−2200
χ402-222-2-22-2002-2002-20000002-22-200−2i2i−2i2i00−i2i2−i2i20000−i2i2−i2i200000000002−22−200
χ412-222-2-22-2002-2002-2000000-22-22002i−2i−2i2i00i2−i2i2−i20000−i2i2−i2i200000000002−2−2200
χ422-222-2-22-2002-2002-2000000-22-22002i−2i−2i2i00−i2i2−i2i20000i2−i2i2−i20000000000−222−200
χ432-222-2-22-2002-2002-2000000-22-2200−2i2i2i−2i00i2−i2i2−i20000−i2i2−i2i20000000000−222−200
χ442-222-2-22-2002-2002-2000000-22-2200−2i2i2i−2i00−i2i2−i2i20000i2−i2i2−i200000000002−2−2200
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-44-4-4-44-4004-400000000000000000000000022−2222−2200000000000000000000
χ47444-44-4-4-44-4004-4000000000000000000000000−2222−222200000000000000000000
χ48444-44-4-4-4-4400-44004-44-4000000000000000000000000000000000000000000
χ49444-44-4-4-4-4400-4400-44-44000000000000000000000000000000000000000000
χ5044-44-4-4-444-400-440000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5144-44-4-4-444-400-44000000000000000000000000−2i22i22i2−2i200000000000000000000
χ5244-44-4-4-44-44004-4004i−4i−4i4i000000000000000000000000000000000000000000
χ5344-44-4-4-44-44004-400−4i4i4i−4i000000000000000000000000000000000000000000
χ5444-4-4-444-4-4-4-4-444440000-440000000000000000000000000000000000000000
χ554-444-4-44-400-4400-440000000000000000002i2−2i2−2i22i2000000000000000000000000
χ564-444-4-44-400-4400-44000000000000000000−2i22i22i2−2i2000000000000000000000000
χ574-4-4-44-444004-400-440000004-4-44000000000000000000000000000000000000
χ584-4-4-44-444004-400-44000000-444-4000000000000000000000000000000000000
χ594-4-4-44-44400-44004-40000000000000000000000000022−22−22220000000000000000
χ604-4-4-44-44400-44004-400000000000000000000000000−222222−220000000000000000
χ618-88-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-8888-8-8000000000000000000000000000000000000000000000000000000

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