Finite Group Databasebeta

← Group #26178

Character table — Group #26178

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244442222444444442244444444448888888824
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-111-1-1-11
χ4111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-111-1-1111-1
χ51111111111111111-1-11111-1-111-1-1-111-1-1-111-1-11111-1-1-1-1
χ61111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-111111-1
χ81111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1-1-1-11
χ9111111111111-1-1-1-111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-111
χ10111111111111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-111111111-1-1
χ11111111111111-1-1-1-111-1-1-1-1-1-1111-1-111-111-1-1-1-111-1-111-11
χ12111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1111111-1-111-1-11-1
χ13111111111111-1-1-1-1-1-11111-1-111-111-1-1-1111111-1-1-1-111-1-1
χ14111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-111-1-1-1-11111-1-111
χ15111111111111-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-11111-1-1-1-11-1
χ16111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-111-1-1-1-11111-11
χ1722222222-2-2-2-200002222-2-22200-20000-200000000000000
χ1822222222-2-2-2-2000022-2-222-2-200-20000200000000000000
χ1922222222-2-2-2-20000-2-222-2-2-2-20020000200000000000000
χ2022222222-2-2-2-20000-2-2-2-222220020000-200000000000000
χ21222-22-2-2-2-22-2222-2-20000000000000000002i−2i002i−2i000000
χ22222-22-2-2-2-22-2222-2-2000000000000000000−2i2i00−2i2i000000
χ23222-22-2-2-2-22-22-2-2220000000000000000002i−2i00−2i2i000000
χ24222-22-2-2-2-22-22-2-222000000000000000000−2i2i002i−2i000000
χ252-222-22-2-22-2-222-22-2002i−2i2i−2i00000002i−2i000000000000000
χ262-222-22-2-22-2-222-22-200−2i2i−2i2i0000000−2i2i000000000000000
χ272-222-22-2-22-2-22-22-22002i−2i2i−2i0000000−2i2i000000000000000
χ282-222-22-2-22-2-22-22-2200−2i2i−2i2i00000002i−2i000000000000000
χ292-222-22-2-2-222-20000002i−2i−2i2i000002-20002i−2i000000000000
χ302-222-22-2-2-222-20000002i−2i−2i2i00000-22000−2i2i000000000000
χ312-222-22-2-2-222-2000000−2i2i2i−2i000002-2000−2i2i000000000000
χ322-222-22-2-2-222-2000000−2i2i2i−2i00000-220002i−2i000000000000
χ332-22-2-2-222-2-2222-2-22000000002-2000000000000002-20000
χ342-22-2-2-222-2-2222-2-2200000000-2200000000000000-220000
χ352-22-2-2-222-2-222-222-2000000002-200000000000000-220000
χ362-22-2-2-222-2-222-222-200000000-22000000000000002-20000
χ37444-44-4-4-44-44-40000000000000000000000000000000000
χ3844-44-4-44-4000000004i−4i0000000000000000000000000000
χ3944-44-4-44-400000000−4i4i0000000000000000000000000000
χ4044-4-4-44-44000000000000000000000000000000000022−2200
χ4144-4-4-44-440000000000000000000000000000000000−222200
χ424-44-4-4-44444-4-40000000000000000000000000000000000
χ434-4-444-4-44000000000000004-40000000000000000000000
χ444-4-444-4-4400000000000000-440000000000000000000000
χ454-4-4-4444-4000000000000000000000000000022−2200000000
χ464-4-4-4444-40000000000000000000000000000−222200000000

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