Finite Group Databasebeta

← Group #288270

Character table — Group #288270

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11-1111-1-11-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-111-11111-1-11-1
χ911111111111111111-1-1-1-11111111-1-11111-1-1-1-111111111-111-1-1-1-1-1-1-11111-1-1
χ1011111111111111111-1-1-1-11111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111111111-1-1-11111-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-111-11111-1-1-11
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1-1111-1-1-1-1111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-11-111-1-1-111-1-1111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-111-1-11-1-111-1-1-11
χ172222222222-22-2-2-22-22222-2000000-2-20022000000-2-200002000000-200000000
χ182222222222-22-2-2-22-22222-2000000-2-200-2-2000000220000-2000000200000000
χ192222222222-22-2-2-22-2-2-2-2-2-2000000220022000000-2-20000-2000000200000000
χ202222222222-22-2-2-22-2-2-2-2-2-20000002200-2-20000002200002000000-200000000
χ2122222222-2-22-2222-2-20000-22222220022000000-2-20000000-2-20000000000000
χ2222222222-2-22-2222-2-20000-22222-2-200-2-2000000-2-20000000220000000000000
χ2322222222-2-22-2222-2-20000-2-2-2-2-22200-2-20000002200000002-20000000000000
χ2422222222-2-22-2222-2-20000-2-2-2-2-2-2-20022000000220000000-220000000000000
χ2522-2-2-2-222222-2-22-2-2-22i2i−2i−2i20000002i−2i00000000000022-2-2000000002i−2i000000
χ2622-2-2-2-222222-2-22-2-2-22i2i−2i−2i20000002i−2i000000000000-2-22200000000−2i2i000000
χ2722-2-2-2-222222-2-22-2-2-2−2i−2i2i2i2000000−2i2i00000000000022-2-200000000−2i2i000000
χ2822-2-2-2-222222-2-22-2-2-2−2i−2i2i2i2000000−2i2i000000000000-2-222000000002i−2i000000
χ2922-2-2-2-22222-2-22-22-222i2i−2i−2i-222-2-200−2i2i00002i2i−2i−2i2-20000000000000000000000
χ3022-2-2-2-22222-2-22-22-222i2i−2i−2i-2-2-22200−2i2i0000−2i−2i2i2i-220000000000000000000000
χ3122-2-2-2-22222-2-22-22-22−2i−2i2i2i-222-2-2002i−2i0000−2i−2i2i2i2-20000000000000000000000
χ3222-2-2-2-22222-2-22-22-22−2i−2i2i2i-2-2-222002i−2i00002i2i−2i−2i-220000000000000000000000
χ3322-2-2-2-222-2-2-222-222-20000222-2-2000000000000-220000000002-22-2000000000
χ3422-2-2-2-222-2-2-222-222-20000222-2-2000000000000-22000000000-22-22000000000
χ3522-2-2-2-222-2-2-222-222-200002-2-2220000000000002-20000000002-2-22000000000
χ3622-2-2-2-222-2-2-222-222-200002-2-2220000000000002-2000000000-222-2000000000
χ3744444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ38444-44-4-4-40000000000000022−2222−2200000022−22000000002-22-20000000000000000
χ39444-44-4-4-40000000000000022−2222−22000000−222200000000-22-220000000000000000
χ40444-44-4-4-400000000000000−2222−222200000022−2200000000-22-220000000000000000
χ41444-44-4-4-400000000000000−2222−2222000000−2222000000002-22-20000000000000000
χ4244-44-44-4-40000000000000022−22−22220000000000000022−222-2-220000000000000000
χ4344-44-44-4-40000000000000022−22−222200000000000000−2222-222-20000000000000000
χ4444-44-44-4-400000000000000−222222−220000000000000022−22-222-20000000000000000
χ4544-44-44-4-400000000000000−222222−2200000000000000−22222-2-220000000000000000
χ4644-4-4-4-444-4-444-44-4440000-40000000000000000000000000000000000000000
χ474-444-4-4-4400404-4-4000000000000000000000000000000000000000002i2−2i20000
χ484-444-4-4-4400404-4-400000000000000000000000000000000000000000−2i22i20000
χ494-444-4-4-4400-40-444000000000004-40000000000000000000000000000000000
χ504-444-4-4-4400-40-44400000000000-440000000000000000000000000000000000
χ514-44-4-444-44-404000-400000000000000000022−2222−22000000000000000000000000
χ524-44-4-444-44-404000-4000000000000000000−2222−2222000000000000000000000000
χ534-44-4-444-4-440-4000404i−4i4i−4i00000000000000000000000000000000000000000
χ544-44-4-444-4-440-400040−4i4i−4i4i00000000000000000000000000000000000000000
χ554-4-444-44-44-40-400040000000000000000002i2−2i2−2i22i2000000000000000000000000
χ564-4-444-44-44-40-40004000000000000000000−2i22i22i2−2i2000000000000000000000000
χ574-4-444-44-4-4404000-404-4-4400000000000000000000000000000000000000000
χ584-4-444-44-4-4404000-40-444-400000000000000000000000000000000000000000
χ594-4-4-444-440040-4-440000000000000004-4000000000000000000000000000000
χ604-4-4-444-440040-4-44000000000000000-44000000000000000000000000000000
χ614-4-4-444-4400-4044-4000000000000000000000000000000000000000000022−2200
χ624-4-4-444-4400-4044-40000000000000000000000000000000000000000000−222200

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