Finite Group Databasebeta

← Group #27539

Character table — Group #27539

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244442222224444442244444444448888888844
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-111-1-111-1-1-11
χ4111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-1111-1
χ51111111111111111-1-11111-1-1-1-1-111-1-1-1111111-1-1-1-111-1-1
χ61111111111111111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-111-1-1-1-1-111111-1-11111-1-1-1-11-1
χ81111111111111111-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-1-1-11111-11
χ9111111111111-1-1-1-111111111-1-11-1-11-1-11111-1-1-1-1-1-1-1-111
χ10111111111111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-111111111-1-1
χ11111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-1-1-111-1-111-11
χ12111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-111-1-11111-1-111-1-11-1
χ13111111111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11111-1-1-1-1
χ14111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111
χ15111111111111-1-1-1-1-1-1-1-1-1-11111-1111-1-111-1-1-1-1-1-111111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-1-1-11
χ1722222222-2-2-2-200002222-2-22200-200-20000000000000000
χ1822222222-2-2-2-2000022-2-222-2-200-20020000000000000000
χ1922222222-2-2-2-20000-2-222-2-2-2-20020020000000000000000
χ2022222222-2-2-2-20000-2-2-2-2222200200-20000000000000000
χ21222-2-2-2-222-2-2222-2-2002i−2i2i−2i000002i−2i00000000000000000
χ22222-2-2-2-222-2-2222-2-200−2i2i−2i2i00000−2i2i00000000000000000
χ23222-2-2-2-222-2-22-2-222002i−2i2i−2i00000−2i2i00000000000000000
χ24222-2-2-2-222-2-22-2-22200−2i2i−2i2i000002i−2i00000000000000000
χ25222-2-2-2-22-222-20000002i−2i−2i2i002-200002i−2i00000000000000
χ26222-2-2-2-22-222-20000002i−2i−2i2i00-220000−2i2i00000000000000
χ27222-2-2-2-22-222-2000000−2i2i2i−2i002-20000−2i2i00000000000000
χ28222-2-2-2-22-222-2000000−2i2i2i−2i00-2200002i−2i00000000000000
χ292-2222-2-2-222-2-22-22-200000000000000002i−2i002i−2i00000000
χ302-2222-2-2-222-2-22-22-20000000000000000−2i2i00−2i2i00000000
χ312-2222-2-2-222-2-2-22-2200000000000000002i−2i00−2i2i00000000
χ322-2222-2-2-222-2-2-22-220000000000000000−2i2i002i−2i00000000
χ332-22-2-222-22-22-22-2-220000000000000000002i−2i0000002i−2i00
χ342-22-2-222-22-22-22-2-22000000000000000000−2i2i000000−2i2i00
χ352-22-2-222-22-22-2-222-20000000000000000002i−2i000000−2i2i00
χ362-22-2-222-22-22-2-222-2000000000000000000−2i2i0000002i−2i00
χ3744-44-44-4-40000000000000000000000000000002i2−2i2000000
χ3844-44-44-4-4000000000000000000000000000000−2i22i2000000
χ3944-4-44-44-4000000000000000000000000000000002i2−2i20000
χ4044-4-44-44-400000000000000000000000000000000−2i22i20000
χ414-4444-4-4-4-4-4440000000000000000000000000000000000
χ424-44-4-444-4-44-440000000000000000000000000000000000
χ434-4-44-4-444000000000000004-40000000000000000000000
χ444-4-44-4-44400000000000000-440000000000000000000000
χ454-4-4-444-44000000004-40000000000000000000000000000
χ464-4-4-444-4400000000-440000000000000000000000000000

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