Finite Group Databasebeta

← Group #24447

Character table — Group #24447

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244442244444444442224444444448888888844
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-111111111-1-1
χ511111111111111-1-111-1-11111-1-1-11111-1-1-111-1-1-1-11111-1-1
χ611111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111-1-111-1-1-1-1-1-1-1111111-111-1-11111-1-1-1-1-1-1
χ811111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1111111
χ9111111111111-1-111-1-1-1-11111-1-1-111-1-1111-1-111-1-111-1-11-1
χ10111111111111-1-111-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-111-11
χ11111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-11-1-111-1-111-1-1111-1
χ12111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1111-1-11111-1-111-1-1-11
χ13111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-11111-1-1-11
χ14111111111111-1-1-1-1-1-1111111111-1-111-1-1-1-1-111-1-1-1-1111-1
χ15111111111111-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1111111-1-1-1-111-11
χ16111111111111-1-1-1-1-1-111-1-1-1-11-1-1-1-111-11111-1-11111-1-11-1
χ1722222222-2-2-2-22222-2-2220000-2000000-200000000000000
χ1822222222-2-2-2-222-2-2-2-2-2-200002000000200000000000000
χ1922222222-2-2-2-2-2-22222-2-200002000000-200000000000000
χ2022222222-2-2-2-2-2-2-2-222220000-2000000200000000000000
χ21222-2-2-2-2222-2-20000000022-2-2000002i−2i000000000002i−2i00
χ22222-2-2-2-2222-2-20000000022-2-200000−2i2i00000000000−2i2i00
χ23222-2-2-2-2222-2-200000000-2-222000002i−2i00000000000−2i2i00
χ24222-2-2-2-2222-2-200000000-2-22200000−2i2i000000000002i−2i00
χ252-2-22-2-2222-2-222-2002-200000002-2000002-2000000000000
χ262-2-22-2-2222-2-222-2002-20000000-2200000-22000000000000
χ272-2-22-2-2222-2-22-2200-2200000002-200000-22000000000000
χ282-2-22-2-2222-2-22-2200-220000000-22000002-2000000000000
χ292-2-22-2-222-222-22-200-22002-22-200000000002-20000000000
χ302-2-22-2-222-222-22-200-2200-22-220000000000-220000000000
χ312-2-22-2-222-222-2-22002-2002-22-20000000000-220000000000
χ322-2-22-2-222-222-2-22002-200-22-2200000000002-20000000000
χ332-2-2-222-22-22-22000000002-2-220002-2000000000002-20000
χ342-2-2-222-22-22-22000000002-2-22000-2200000000000-220000
χ352-2-2-222-22-22-2200000000-222-20002-200000000000-220000
χ362-2-2-222-22-22-2200000000-222-2000-22000000000002-20000
χ37444-4-4-4-44-4-4440000000000000000000000000000000000
χ3844-444-4-4-400000000000000000000000000000022−22000000
χ3944-444-4-4-4000000000000000000000000000000−2222000000
χ4044-4-4-444-40000004i−4i000000000000000000000000000000
χ4144-4-4-444-4000000−4i4i000000000000000000000000000000
χ424-444-44-4-4000000000000000000000000000022−2200000000
χ434-444-44-4-40000000000000000000000000000−222200000000
χ444-44-44-44-400000000004i−4i00000000000000000000000000
χ454-44-44-44-40000000000−4i4i00000000000000000000000000
χ464-4-4-444-444-44-40000000000000000000000000000000000

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