Finite Group Databasebeta

← Group #29198

Character table — Group #29198

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444444444444422444444888888884444
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
χ51111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-1
χ61111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-11-1
χ91111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111
χ111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111
χ121111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1
χ131111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111-1-11
χ141111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-111-1
χ151111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-111-1
χ161111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-11
χ1722222222-2-22222-2-222-2-222-2-2-2-200000000000000000000
χ1822222222-2-22222-2-2-2-222-2-222-2-200000000000000000000
χ1922222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000
χ21222-22-2-2-2220000-2-22-22-20000002-2002-200000000000000
χ22222-22-2-2-2220000-2-22-22-2000000-2200-2200000000000000
χ23222-22-2-2-2220000-2-2-22-220000002-200-2200000000000000
χ24222-22-2-2-2220000-2-2-22-22000000-22002-200000000000000
χ25222-22-2-2-2-2-20000222-2-22000000002i−2i002i−2i000000000000
χ26222-22-2-2-2-2-20000222-2-2200000000−2i2i00−2i2i000000000000
χ27222-22-2-2-2-2-2000022-222-2000000002i−2i00−2i2i000000000000
χ28222-22-2-2-2-2-2000022-222-200000000−2i2i002i−2i000000000000
χ292-2-222-22-22-22i2i−2i−2i2-2000000002i−2i0000000000002-22i−2i0000
χ302-2-222-22-22-22i2i−2i−2i2-2000000002i−2i000000000000-22−2i2i0000
χ312-2-222-22-22-2−2i−2i2i2i2-200000000−2i2i0000000000002-2−2i2i0000
χ322-2-222-22-22-2−2i−2i2i2i2-200000000−2i2i000000000000-222i−2i0000
χ332-2-222-22-2-222i2i−2i−2i-2200000000−2i2i000000002-22i−2i00000000
χ342-2-222-22-2-222i2i−2i−2i-2200000000−2i2i00000000-22−2i2i00000000
χ352-2-222-22-2-22−2i−2i2i2i-22000000002i−2i000000002-2−2i2i00000000
χ362-2-222-22-2-22−2i−2i2i2i-22000000002i−2i00000000-222i−2i00000000
χ3744-44-44-4-4004-44-400000000000000000000000000000000
χ3844-44-44-4-400-44-4400000000000000000000000000000000
χ3944-4-4-4-444000000000000004-40000000000000000000000
χ4044-4-4-4-44400000000000000-440000000000000000000000
χ414-444-4-4-44004i−4i−4i4i00000000000000000000000000000000
χ424-444-4-4-4400−4i4i4i−4i00000000000000000000000000000000
χ434-44-4-444-40000000000004i−4i000000000000000000000000
χ444-44-4-444-4000000000000−4i4i000000000000000000000000
χ454-4-4-444-444-40000-44000000000000000000000000000000
χ464-4-4-444-44-4400004-4000000000000000000000000000000

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