Finite Group Databasebeta

← Group #26615

Character table — Group #26615

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244444444444444442244444444448888888824
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-1-1-11111-1-1111-111-1-1-1-111-1-111-1-11-1
χ611111111111111-1-1-1-1-1-11111-1-1111-1-1-1-1-111-1-111-1-111-11
χ711111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-111-1-1111-1
χ811111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-111-1-1-11
χ9111111111111-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ10111111111111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ11111111111111-1-11111-1-1-1-1-1-111-111-111-1-111-1-11111-1-1-1-1
χ12111111111111-1-11111-1-1-1-1-1-111-111-1-1-1-1-1-1-111-1-1-1-11111
χ13111111111111-1-1-1-1-1-111111111-1-1-1111-1-1-1-11111-1-1-1-1-11
χ14111111111111-1-1-1-1-1-111111111-1-1-11-1-1-1-111-1-1-1-111111-1
χ15111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-11
χ16111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111111111-1-1-1-11-1
χ1722222222-2-2-2-22222-2-222000000-200-20000000000000000
χ1822222222-2-2-2-222-2-222-2-2000000-20020000000000000000
χ1922222222-2-2-2-2-2-222-2-2-2-200000020020000000000000000
χ2022222222-2-2-2-2-2-2-2-22222000000200-20000000000000000
χ21222-2-2-2-222-2-22002i−2i2i−2i0000002-202i−2i00000000000000000
χ22222-2-2-2-222-2-22002i−2i2i−2i000000-220−2i2i00000000000000000
χ23222-2-2-2-222-2-2200−2i2i−2i2i0000002-20−2i2i00000000000000000
χ24222-2-2-2-222-2-2200−2i2i−2i2i000000-2202i−2i00000000000000000
χ25222-2-2-2-22-222-2002i−2i−2i2i002i2i−2i−2i000000002-2000000000000
χ26222-2-2-2-22-222-2002i−2i−2i2i00−2i−2i2i2i00000000-22000000000000
χ27222-2-2-2-22-222-200−2i2i2i−2i002i2i−2i−2i00000000-22000000000000
χ28222-2-2-2-22-222-200−2i2i2i−2i00−2i−2i2i2i000000002-2000000000000
χ292-2-222-2-2222-2-2000000002i−2i2i−2i0000002i−2i00002-200000000
χ302-2-222-2-2222-2-2000000002i−2i2i−2i000000−2i2i0000-2200000000
χ312-2-222-2-2222-2-200000000−2i2i−2i2i0000002i−2i0000-2200000000
χ322-2-222-2-2222-2-200000000−2i2i−2i2i000000−2i2i00002-200000000
χ332-2-2-2-2222-22-22000000002-2-2200000000002-20000002-200
χ342-2-2-2-2222-22-22000000002-2-220000000000-22000000-2200
χ352-2-2-2-2222-22-2200000000-222-200000000002-2000000-2200
χ362-2-2-2-2222-22-2200000000-222-20000000000-220000002-200
χ3744-44-44-4-4000000000000000000000000000000002i2−2i20000
χ3844-44-44-4-400000000000000000000000000000000−2i22i20000
χ3944-4-44-44-40000000000000000000000000000002i2−2i2000000
χ4044-4-44-44-4000000000000000000000000000000−2i22i2000000
χ414-444-4-44-400004i−4i00000000000000000000000000000000
χ424-444-4-44-40000−4i4i00000000000000000000000000000000
χ434-44-444-4-400000000004i−4i00000000000000000000000000
χ444-44-444-4-40000000000−4i4i00000000000000000000000000
χ454-4-444-4-44-4-4440000000000000000000000000000000000
χ464-4-4-4-44444-44-40000000000000000000000000000000000

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