Finite Group Databasebeta

← Group #24049

Character table — Group #24049

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244442222222244442244444444448888888844
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1
χ4111111111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-111-1-1-1-111-1-1-11-1-111-1-111-1-111-1-11-1
χ61111111111111111-1-111-1-1-1-111-1-1-11-1-1-1-111-1-111-1-111-11
χ71111111111111111-1-1-1-1-1-111-1-11-1-1-11111-1-1-1-11111-1-1-11
χ81111111111111111-1-1-1-1-1-111-1-11-1-1-111-1-11111-1-1-1-1111-1
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
χ11111111111111-1-1-1-111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1
χ12111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ13111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11111111-1-1-1-111-1-1111-1
χ14111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-11111-1-111-1-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-111-1-1-1-111-11
χ16111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-11111-1-11-1
χ1722222222-2-2-2-200002222-2-2-2-200200-20000000000000000
χ1822222222-2-2-2-2000022-2-2-2-22200-20020000000000000000
χ1922222222-2-2-2-20000-2-222222200-200-20000000000000000
χ2022222222-2-2-2-20000-2-2-2-222-2-20020020000000000000000
χ2122-2-22-22-222-2-222-2-20000000000000000002i−2i0000002i−2i00
χ2222-2-22-22-222-2-222-2-2000000000000000000−2i2i000000−2i2i00
χ2322-2-22-22-222-2-2-2-2220000000000000000002i−2i000000−2i2i00
χ2422-2-22-22-222-2-2-2-222000000000000000000−2i2i0000002i−2i00
χ252-22-2-222-22-22-22-22-200000000000000002i−2i0000002i−2i0000
χ262-22-2-222-22-22-22-22-20000000000000000−2i2i000000−2i2i0000
χ272-22-2-222-22-22-2-22-2200000000000000002i−2i000000−2i2i0000
χ282-22-2-222-22-22-2-22-220000000000000000−2i2i0000002i−2i0000
χ292-2-22-2-2222-2-222-2-222-2002-2000002-200000000000000000
χ302-2-22-2-2222-2-222-2-22-2200-2200000-2200000000000000000
χ312-2-22-2-2222-2-22-222-22-2002-200000-2200000000000000000
χ322-2-22-2-2222-2-22-222-2-2200-22000002-200000000000000000
χ332-2-22-2-222-222-200002-200-22002-200002-200000000000000
χ342-2-22-2-222-222-200002-200-2200-220000-2200000000000000
χ352-2-22-2-222-222-20000-22002-2002-20000-2200000000000000
χ362-2-22-2-222-222-20000-22002-200-2200002-200000000000000
χ374444-4-4-4-400000000004-400000000000000000000000000
χ384444-4-4-4-40000000000-4400000000000000000000000000
χ3944-4-44-44-4-4-4440000000000000000000000000000000000
χ4044-4-4-44-4400000000000000000000000000000022−22000000
χ4144-4-4-44-44000000000000000000000000000000−2222000000
χ424-44-44-4-44000000000000000000000000000022−2200000000
χ434-44-44-4-440000000000000000000000000000−222200000000
χ444-44-4-444-4-44-440000000000000000000000000000000000
χ454-4-4444-4-4000000000000004i−4i0000000000000000000000
χ464-4-4444-4-400000000000000−4i4i0000000000000000000000

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