Finite Group Databasebeta

← Group #27178

Character table — Group #27178

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244442244444444442244444444448888888844
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-11111-1-111-1-11-1
χ611111111111111-1-1-1-1-1-11111-1-11-1-1-1-1-11111-1-111-1-111-11
χ711111111111111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-111-1-1111-1
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-111-1-1-11
χ9111111111111-1-111-1-1-1-1111111-11-1-111-1-1-1-11111-1-1-1-1-11
χ10111111111111-1-111-1-1-1-11111-1-1-11-1-11111-1-1-1-1-1-111111-1
χ11111111111111-1-111-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-1-1-11111-11
χ12111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-11-1
χ13111111111111-1-1-1-11111111111-1-111-1-111-1-111-1-1-1-111-1-1
χ14111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ15111111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ1722222222-2-2-2-2222222-2-2000000-2-2000000000000000000
χ1822222222-2-2-2-222-2-2-2-222000000-22000000000000000000
χ1922222222-2-2-2-2-2-222-2-2220000002-2000000000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-200000022000000000000000000
χ2122-22-2-2-222-2-2200002i−2i2i−2i00000000002i−2i002-20000000000
χ2222-22-2-2-222-2-2200002i−2i2i−2i0000000000−2i2i00-220000000000
χ2322-22-2-2-222-2-220000−2i2i−2i2i00000000002i−2i00-220000000000
χ2422-22-2-2-222-2-220000−2i2i−2i2i0000000000−2i2i002-20000000000
χ2522-22-2-2-22-222-200002i−2i−2i2i22-2-200002i−2i0000000000000000
χ2622-22-2-2-22-222-200002i−2i−2i2i-2-2220000−2i2i0000000000000000
χ2722-22-2-2-22-222-20000−2i2i2i−2i22-2-20000−2i2i0000000000000000
χ2822-22-2-2-22-222-20000−2i2i2i−2i-2-22200002i−2i0000000000000000
χ292-2222-2-2-2-22-22000000002i−2i2i−2i000000002i−2i000000002-200
χ302-2222-2-2-2-22-22000000002i−2i2i−2i00000000−2i2i00000000-2200
χ312-2222-2-2-2-22-2200000000−2i2i−2i2i000000002i−2i00000000-2200
χ322-2222-2-2-2-22-2200000000−2i2i−2i2i00000000−2i2i000000002-200
χ332-2-22-222-222-2-2000000002i−2i−2i2i2-200000000002i−2i00000000
χ342-2-22-222-222-2-2000000002i−2i−2i2i-220000000000−2i2i00000000
χ352-2-22-222-222-2-200000000−2i2i2i−2i2-20000000000−2i2i00000000
χ362-2-22-222-222-2-200000000−2i2i2i−2i-2200000000002i−2i00000000
χ37444-4-44-4-400004-400000000000000000000000000000000
χ38444-4-44-4-40000-4400000000000000000000000000000000
χ3944-4-44-44-40000004i−4i000000000000000000000000000000
χ4044-4-44-44-4000000−4i4i000000000000000000000000000000
χ414-4444-4-4-44-44-40000000000000000000000000000000000
χ424-44-4-4-44400000000000000000000000000000022−22000000
χ434-44-4-4-444000000000000000000000000000000−2222000000
χ444-4-44-444-4-4-4440000000000000000000000000000000000
χ454-4-4-444-440000000000000000000000000000000022−220000
χ464-4-4-444-4400000000000000000000000000000000−22220000

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