Finite Group Databasebeta

← Group #18784

Character table — Group #18784

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222444444442224444444424444444888888882488
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11-1-11-1-11-1-11111-1-1-1-111-1-1
χ4111111111111111111-1-1-1-11-1-11-1-11-1-1-1-1-1-11111-1-111
χ51111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111-1-1-1-11-1-1-1-11-1-1-111-1111111-1-1-1-1-1-111
χ81111111111111-1-1-1-11-1-1-1-11-1-1-111-111-1-1-1-1111111-1-1
χ91111-1-11-1-1111-111-1-1-111-1-11-11111-1-1-111-1-111-1-11-11-1
χ101111-1-11-1-1111-111-1-1-111-1-11-11111-1-1-1-1-111-1-111-11-11
χ111111-1-11-1-1111-111-1-1-1-1-11111-11-1-1-11111-1-1-1-1111-1-11
χ121111-1-11-1-1111-111-1-1-1-1-11111-11-1-1-111-1-11111-1-1-111-1
χ131111-1-11-1-1111-1-1-111-111-1-11-11-1-1-111111-1-111-1-1-11-11
χ141111-1-11-1-1111-1-1-111-111-1-11-11-1-1-1111-1-111-1-1111-11-1
χ151111-1-11-1-1111-1-1-111-1-1-11111-1-1111-1-111-1-1-1-111-111-1
χ161111-1-11-1-1111-1-1-111-1-1-11111-1-1111-1-1-1-11111-1-11-1-11
χ172222222-2-2-2-22-2222220000-200-200-200000000000000
χ182222222-2-2-2-22-2-2-2-2-220000-200200200000000000000
χ19222222-22222-2-20000-22222-2-2-2000000000000000000
χ20222222-22222-2-20000-2-2-2-2-2-222000000000000000000
χ21222222-2-2-2-2-2-220000-2000020002-202-2000000000000
χ22222222-2-2-2-2-2-220000-200002000-220-22000000000000
χ232222-2-2222-2-22222-2-2-20000-200-200200000000000000
χ242222-2-2222-2-222-2-222-20000-200200-200000000000000
χ252222-2-2-222-2-2-2-200002000020002-20-22000000000000
χ262222-2-2-222-2-2-2-20000200002000-2202-2000000000000
χ272222-2-2-2-2-222-220000222-2-2-22-2000000000000000000
χ282222-2-2-2-2-222-2200002-2-222-2-22000000000000000000
χ292-22-22i−2i02i−2i2-200000002-22i−2i0000000002−2i2−i22−2i2−i20000
χ302-22-22i−2i02i−2i2-200000002-22i−2i000000000−22−i2i2−22−i2i20000
χ312-22-22i−2i02i−2i2-20000000-22−2i2i0000000002−2i2−i2−22−i2i20000
χ322-22-22i−2i02i−2i2-20000000-22−2i2i000000000−22−i2i22−2i2−i20000
χ332-22-2−2i2i0−2i2i2-200000002-2−2i2i0000000002−2−i2i22−2−i2i20000
χ342-22-2−2i2i0−2i2i2-200000002-2−2i2i000000000−22i2−i2−22i2−i20000
χ352-22-2−2i2i0−2i2i2-20000000-222i−2i0000000002−2−i2i2−22i2−i20000
χ362-22-2−2i2i0−2i2i2-20000000-222i−2i000000000−22i2−i22−2−i2i20000
χ374-44-44i−4i0−4i4i-4400000000000000000000000000000000
χ384-44-4−4i4i04i−4i-4400000000000000000000000000000000
χ394-4-440040000-40004i−4i00000000000000000000000000
χ404-4-440040000-4000−4i4i00000000000000000000000000
χ414-4-4400-40000404-40000000000000000000000000000
χ424-4-4400-4000040-440000000000000000000000000000
χ4388-8-8000000000000000000000000000000000000000

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