Finite Group Databasebeta

← Group #18130

Character table — Group #18130

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222444422444444444422224444444444444488888888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-1111-111-1-1111-1-1-111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-1111-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11111
χ711111111111111-1-1-1-111-1111-1-1-1-1-111111-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-111-11-1-1-1-1-1-1-1111-1-111111111-1-1-1-1
χ91111-1-1-1-111-1-1-1-111-1-11111111-11-1-11-1-1-1-111-1-111-1-111-1-1
χ101111-1-1-1-111-1-1-1-111-1-11111-1-11-11-1-11-1-111-1-111-1-111-1-111
χ111111-1-1-1-111-1-1-1-111-1-111-1-1111-1-111-111-1-111-1-1-1-111-1-111
χ121111-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-111-11111-1-11111-1-111-1-1
χ131111-1-1-1-111-1-1-1-1-1-111111-111-111-1-1-111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-111-1-1-1-1-1-111111-1-1-1-111-1-1-1111111-1-1-1-11111-1-1
χ151111-1-1-1-111-1-1-1-1-1-11111-1111-11-1111-1-1-1-1-1-111-1-11111-1-1
χ161111-1-1-1-111-1-1-1-1-1-11111-11-1-1-11-1111-1-11111-1-111-1-1-1-111
χ17222222222222-2-22222-2-20000-2-200000000000000000000
χ18222222222222-2-2-2-2-2-2-2-200002200000000000000000000
χ1922222222-2-2-2-22-200002-2020000000-22-200000000000000
χ2022222222-2-2-2-22-200002-20-200000002-2200000000000000
χ2122222222-2-2-2-2-220000-22200000-22-200000000000000000
χ2222222222-2-2-2-2-220000-22-2000002-2200000000000000000
χ232222-2-2-2-222-2-22222-2-2-2-20000-2200000000000000000000
χ242222-2-2-2-222-2-222-2-222-2-200002-200000000000000000000
χ252222-2-2-2-2-2-2222-20000-22200000-2-2200000000000000000
χ262222-2-2-2-2-2-2222-20000-22-20000022-200000000000000000
χ272222-2-2-2-2-2-222-2200002-2020000000-2-2200000000000000
χ282222-2-2-2-2-2-222-2200002-20-2000000022-200000000000000
χ2922-2-22i2i−2i−2i2-22i−2i002-22i−2i000000000000000000002−2i2−i22−2i2−i2
χ3022-2-22i2i−2i−2i2-22i−2i002-22i−2i00000000000000000000−22−i2i2−22−i2i2
χ3122-2-22i2i−2i−2i2-22i−2i00-22−2i2i000000000000000000002−2i2−i2−22−i2i2
χ3222-2-22i2i−2i−2i2-22i−2i00-22−2i2i00000000000000000000−22−i2i22−2i2−i2
χ3322-2-2−2i−2i2i2i2-2−2i2i002-2−2i2i000000000000000000002−2−i2i22−2−i2i2
χ3422-2-2−2i−2i2i2i2-2−2i2i002-2−2i2i00000000000000000000−22i2−i2−22i2−i2
χ3522-2-2−2i−2i2i2i2-2−2i2i00-222i−2i000000000000000000002−2−i2i2−22i2−i2
χ3622-2-2−2i−2i2i2i2-2−2i2i00-222i−2i00000000000000000000−22i2−i22−2−i2i2
χ3744-4-44i4i−4i−4i-44−4i4i0000000000000000000000000000000000
χ3844-4-4−4i−4i4i4i-444i−4i0000000000000000000000000000000000
χ394-44-44-44-4000000000000000000000000002i−2i2i−2i00000000
χ404-44-44-44-400000000000000000000000000−2i2i−2i2i00000000
χ414-44-4-44-44000000000000000000000000002i−2i−2i2i00000000
χ424-44-4-44-4400000000000000000000000000−2i2i2i−2i00000000
χ434-4-444i−4i−4i4i000000000000002-2000000002i−2i000000000000
χ444-4-444i−4i−4i4i00000000000000-2200000000−2i2i000000000000
χ454-4-44−4i4i4i−4i000000000000002-200000000−2i2i000000000000
χ464-4-44−4i4i4i−4i00000000000000-22000000002i−2i000000000000

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