Finite Group Databasebeta

← Group #29270

Character table — Group #29270

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222444444444444448888888888888816161616
order1244222444888844448888888888224444448888884488
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ511111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ711111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111
χ91111111111-1-1-1-11111-1-1-1-11111-1-11-11-1-1-1-1-11111-1-11-11-1
χ101111111111-1-1-1-11111-1-1-1-11111-1-1-11-11-1-1-1-111-1-111-11-11
χ111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-111-1
χ121111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-11-1-11
χ131111111111-1-1-1-1-1-1-1-111111111-1-11-11-1-1-111-1-111-1-1-11-11
χ141111111111-1-1-1-1-1-1-1-111111111-1-1-11-11-1-111-1-1-1-1111-11-1
χ151111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-111-1-111-1-1111-1-11
χ161111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1111-1-11111-1-1-111-1
χ172222-2-22-22-222220000000022-2-2-2-200002-2000000000000
χ182222-2-22-22-2222200000000-2-222-2-20000-22000000000000
χ192222-2-22-22-2-2-2-2-20000000022-2-2220000-22000000000000
χ202222-2-22-22-2-2-2-2-200000000-2-2222200002-2000000000000
χ2122-2-2222-2-2-2000000002i2i−2i−2i2i−2i2i−2i000000002-20000000000
χ2222-2-2222-2-2-2000000002i2i−2i−2i−2i2i−2i2i00000000-220000000000
χ2322-2-2222-2-2-200000000−2i−2i2i2i2i−2i2i−2i00000000-220000000000
χ2422-2-2222-2-2-200000000−2i−2i2i2i−2i2i−2i2i000000002-20000000000
χ2522-2-22-2-222-222-2-20000000000002-222-2-200000000000000
χ2622-2-22-2-222-222-2-20000000000002-2-2-22200000000000000
χ2722-2-22-2-222-2-2-222000000000000-222-2-2200000000000000
χ2822-2-22-2-222-2-2-222000000000000-22-222-200000000000000
χ2922-2-2-22-2-22222-2-2000000000000-2200000000002i−2i2i−2i0000
χ3022-2-2-22-2-22222-2-2000000000000-220000000000−2i2i−2i2i0000
χ3122-2-2-22-2-222-2-2220000000000002-200000000002i−2i−2i2i0000
χ3222-2-2-22-2-222-2-2220000000000002-20000000000−2i2i2i−2i0000
χ3322-2-2-2-222-22000022-2-200002i−2i−2i2i00000000002i−2i00000000
χ3422-2-2-2-222-22000022-2-20000−2i2i2i−2i0000000000−2i2i00000000
χ3522-2-2-2-222-220000-2-22200002i−2i−2i2i0000000000−2i2i00000000
χ3622-2-2-2-222-220000-2-2220000−2i2i2i−2i00000000002i−2i00000000
χ3744444-4-4-4-44000000000000000000000000000000000000
χ384444-44-44-4-4000000000000000000000000000000000000
χ394-44i−4i00000022−222i2−2i22-22i−2i2ζ−2ζ2ζ3−2ζ3000000000000000000000000
χ404-44i−4i00000022−222i2−2i2-22−2i2i−2ζ2ζ−2ζ32ζ3000000000000000000000000
χ414-44i−4i000000−2222−2i22i22-22i−2i−2ζ2ζ−2ζ32ζ3000000000000000000000000
χ424-44i−4i000000−2222−2i22i2-22−2i2i2ζ−2ζ2ζ3−2ζ3000000000000000000000000
χ434-4−4i4i00000022−22−2i22i22-2−2i2i−2ζ32ζ3−2ζ2ζ000000000000000000000000
χ444-4−4i4i00000022−22−2i22i2-222i−2i2ζ3−2ζ32ζ−2ζ000000000000000000000000
χ454-4−4i4i000000−22222i2−2i22-2−2i2i2ζ3−2ζ32ζ−2ζ000000000000000000000000
χ464-4−4i4i000000−22222i2−2i2-222i−2i−2ζ32ζ3−2ζ2ζ000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.