Finite Group Databasebeta

← Group #27021

Character table — Group #27021

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244444444444444444444444444448888888844
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-11111-1-1-11-1-1-1-111-1-111-1-11-1
χ4111111111111111111-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-111-1-111-11
χ511111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111-1-1-1-1111111-1-1-1-11-1-11-1-1-1-111111111-1-1
χ711111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-111-1-1111-1
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-11
χ9111111111111-1-111111111-1-111-1-1-111-111-1-111-1-1-1-111-1-1
χ10111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ11111111111111-1-11111-1-1-1-11111-1-11-1-1-1-1-1111111-1-1-1-1-11
χ12111111111111-1-11111-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-111111-1
χ13111111111111-1-1-1-1-1-11111-1-11111-111-1-1-111-1-11111-1-1-1-1
χ14111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ15111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-11111-11
χ16111111111111-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-11111-1-1-1-11-1
χ1722222222-2-2-2-222000022-2-2-2-20000200-200000000000000
χ1822222222-2-2-2-2220000-2-222220000-200-200000000000000
χ1922222222-2-2-2-2-2-2000022-2-2220000-200200000000000000
χ2022222222-2-2-2-2-2-20000-2-222-2-20000200200000000000000
χ2122-222-2-2-222-2-20022-2-20000002-200000000002-200000000
χ2222-222-2-2-222-2-20022-2-2000000-220000000000-2200000000
χ2322-222-2-2-222-2-200-2-2220000002-20000000000-2200000000
χ2422-222-2-2-222-2-200-2-222000000-2200000000002-200000000
χ252-22-22-2-222-2-22002i−2i2i−2i2i−2i2i−2i00000000002-2000000000000
χ262-22-22-2-222-2-22002i−2i2i−2i−2i2i−2i2i0000000000-22000000000000
χ272-22-22-2-222-2-2200−2i2i−2i2i2i−2i2i−2i0000000000-22000000000000
χ282-22-22-2-222-2-2200−2i2i−2i2i−2i2i−2i2i00000000002-2000000000000
χ292-22-22-2-22-222-20000002i−2i−2i2i00002i−2i0000002-20000000000
χ302-22-22-2-22-222-20000002i−2i−2i2i0000−2i2i000000-220000000000
χ312-22-22-2-22-222-2000000−2i2i2i−2i00002i−2i000000-220000000000
χ322-22-22-2-22-222-2000000−2i2i2i−2i0000−2i2i0000002-20000000000
χ332-2-2-2222-22-22-2002i−2i−2i2i000000000002-2000000000002i−2i00
χ342-2-2-2222-22-22-2002i−2i−2i2i00000000000-2200000000000−2i2i00
χ352-2-2-2222-22-22-200−2i2i2i−2i000000000002-200000000000−2i2i00
χ362-2-2-2222-22-22-200−2i2i2i−2i00000000000-22000000000002i−2i00
χ37444-4-4-44-4000000000000004-40000000000000000000000
χ38444-4-4-44-400000000000000-440000000000000000000000
χ3944-444-4-4-4-4-4440000000000000000000000000000000000
χ4044-4-4-44-440000000000000000000000000000002i2−2i2000000
χ4144-4-4-44-44000000000000000000000000000000−2i22i2000000
χ424-444-44-4-400004-400000000000000000000000000000000
χ434-444-44-4-40000-4400000000000000000000000000000000
χ444-4-44-4-4440000000000000000000000000000000022−220000
χ454-4-44-4-44400000000000000000000000000000000−22220000
χ464-4-4-4444-4-44-440000000000000000000000000000000000

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