Finite Group Databasebeta

← Group #27176

Character table — Group #27176

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244442244444444444444444444448888888844
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-1-1-11111-1-1-1111-1-1-1-11111-1-111-1-11-1
χ611111111111111-1-1-1-1-1-11111-1-1-11-1-1-1-11111-1-111-1-111-11
χ711111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1111-1
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-111-1-1-11
χ9111111111111-1-111-1-1111111-111-111-1-111-1-111-1-1-1-111-1-1
χ10111111111111-1-111-1-1111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ11111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ12111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ13111111111111-1-1-1-111-1-111111-1-1-11111-1-1-1-11111-1-1-1-1-11
χ14111111111111-1-1-1-111-1-111111-1-1-1-1-11111-1-1-1-1-1-111111-1
χ15111111111111-1-1-1-111-1-1-1-1-1-1111-111-1-1-1-111-1-1-1-11111-11
χ16111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-11-1
χ1722222222-2-2-2-22222-2-2-2-20000200-2000000000000000000
χ1822222222-2-2-2-222-2-222220000-200-2000000000000000000
χ1922222222-2-2-2-2-2-22222-2-20000-2002000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22200002002000000000000000000
χ2122-2-2-22-222-2-22002i−2i002i−2i00000000002i−2i002-20000000000
χ2222-2-2-22-222-2-22002i−2i002i−2i0000000000−2i2i00-220000000000
χ2322-2-2-22-222-2-2200−2i2i00−2i2i00000000002i−2i00-220000000000
χ2422-2-2-22-222-2-2200−2i2i00−2i2i0000000000−2i2i002-20000000000
χ2522-2-2-22-22-222-2002i−2i00−2i2i22-2-202i−2i0000000000000000000
χ2622-2-2-22-22-222-2002i−2i00−2i2i-2-2220−2i2i0000000000000000000
χ2722-2-2-22-22-222-200−2i2i002i−2i22-2-20−2i2i0000000000000000000
χ2822-2-2-22-22-222-200−2i2i002i−2i-2-22202i−2i0000000000000000000
χ292-222-22-2-2-22-22000000002i−2i2i−2i000000002i−2i000000002-200
χ302-222-22-2-2-22-22000000002i−2i2i−2i00000000−2i2i00000000-2200
χ312-222-22-2-2-22-2200000000−2i2i−2i2i000000002i−2i00000000-2200
χ322-222-22-2-2-22-2200000000−2i2i−2i2i00000000−2i2i000000002-200
χ332-2-2-2222-222-2-2000000002i−2i−2i2i00002-20000002i−2i00000000
χ342-2-2-2222-222-2-2000000002i−2i−2i2i0000-22000000−2i2i00000000
χ352-2-2-2222-222-2-200000000−2i2i2i−2i00002-2000000−2i2i00000000
χ362-2-2-2222-222-2-200000000−2i2i2i−2i0000-220000002i−2i00000000
χ37444-4-4-44-40000000000000000000000000000000022−220000
χ38444-4-4-44-400000000000000000000000000000000−22220000
χ3944-444-4-4-400000000000000000000000000000022−22000000
χ4044-444-4-4-4000000000000000000000000000000−2222000000
χ414-444-44-4-44-44-40000000000000000000000000000000000
χ424-44-44-4-44000000004i−4i0000000000000000000000000000
χ434-44-44-4-4400000000−4i4i0000000000000000000000000000
χ444-4-44-4-44400004-400000000000000000000000000000000
χ454-4-44-4-4440000-4400000000000000000000000000000000
χ464-4-4-4444-4-4-4440000000000000000000000000000000000

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