Finite Group Databasebeta

← Group #29167

Character table — Group #29167

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444224444444422444444888888884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1
χ61111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ91111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1-11
χ101111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-111-1
χ111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1
χ121111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-11
χ131111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1111-11-1
χ141111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-11-11
χ151111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-11-11
χ161111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-11-11-1
χ1722222222-2-22222-2-222-2-2-2-2-2-22200000000000000000000
χ1822222222-2-22222-2-2-2-222-2-222-2-200000000000000000000
χ1922222222-2-2-2-2-2-2-2-222-2-22222-2-200000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000
χ212222-2-2-2-2220000-2-22-22-20000002-22-20000000000000000
χ222222-2-2-2-2220000-2-22-22-2000000-22-220000000000000000
χ232222-2-2-2-2220000-2-2-22-220000002-2-220000000000000000
χ242222-2-2-2-2220000-2-2-22-22000000-222-20000000000000000
χ252222-2-2-2-2-2-20000222-2-2200000000002i−2i2i−2i000000000000
χ262222-2-2-2-2-2-20000222-2-220000000000−2i2i−2i2i000000000000
χ272222-2-2-2-2-2-2000022-222-200000000002i−2i−2i2i000000000000
χ282222-2-2-2-2-2-2000022-222-20000000000−2i2i2i−2i000000000000
χ292-22-222-2-22-22i2i−2i−2i2-200002i−2i00000000000000002i−2i2-20000
χ302-22-222-2-22-22i2i−2i−2i2-200002i−2i0000000000000000−2i2i-220000
χ312-22-222-2-22-2−2i−2i2i2i2-20000−2i2i00000000000000002i−2i-220000
χ322-22-222-2-22-2−2i−2i2i2i2-20000−2i2i0000000000000000−2i2i2-20000
χ332-22-222-2-2-222i2i−2i−2i-220000−2i2i0000000000002-22i−2i00000000
χ342-22-222-2-2-222i2i−2i−2i-220000−2i2i000000000000-22−2i2i00000000
χ352-22-222-2-2-22−2i−2i2i2i-2200002i−2i0000000000002-2−2i2i00000000
χ362-22-222-2-2-22−2i−2i2i2i-2200002i−2i000000000000-222i−2i00000000
χ3744-4-44-4-44000000000000004i−4i0000000000000000000000
χ3844-4-44-4-4400000000000000−4i4i0000000000000000000000
χ3944-4-4-444-4004i−4i4i−4i00000000000000000000000000000000
χ4044-4-4-444-400−4i4i−4i4i00000000000000000000000000000000
χ414-44-4-4-4444-40000-44000000000000000000000000000000
χ424-44-4-4-444-4400004-4000000000000000000000000000000
χ434-4-444-44-400000000000000004i−4i00000000000000000000
χ444-4-444-44-40000000000000000−4i4i00000000000000000000
χ454-4-44-44-44004-4-4400000000000000000000000000000000
χ464-4-44-44-4400-444-400000000000000000000000000000000

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