Finite Group Databasebeta

← Group #27156

Character table — Group #27156

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244444444444444444444444444448888888844
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1
χ4111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ51111111111111111-1-111-1-1-1-111-11-1-111-1-1-1-1-1-1-1-11111-11
χ61111111111111111-1-111-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-11-1
χ71111111111111111-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-11111-1-11-1
χ81111111111111111-1-1-1-1-1-111-1-11-111-1-1-1-11111-1-1-1-111-11
χ9111111111111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-111
χ10111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1
χ11111111111111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1
χ12111111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-111
χ13111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-11
χ14111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-11111-1-1-1-111111-1
χ15111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-111-1-1-1-1111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-11111-1-1-11
χ1722222222-2-2-2-200002222-2-2-2-2002-2000000000000000000
χ1822222222-2-2-2-2000022-2-2-2-22200-22000000000000000000
χ1922222222-2-2-2-20000-2-222222200-2-2000000000000000000
χ2022222222-2-2-2-20000-2-2-2-222-2-20022000000000000000000
χ2122-22-22-2-2-22-2222-2-20000000000000000002i−2i2i−2i00000000
χ2222-22-22-2-2-22-2222-2-2000000000000000000−2i2i−2i2i00000000
χ2322-22-22-2-2-22-22-2-2220000000000000000002i−2i−2i2i00000000
χ2422-22-22-2-2-22-22-2-222000000000000000000−2i2i2i−2i00000000
χ252-222-2-22-2-2-2222i−2i2i−2i000000000000002i−2i000000002-20000
χ262-222-2-22-2-2-2222i−2i2i−2i00000000000000−2i2i00000000-220000
χ272-222-2-22-2-2-222−2i2i−2i2i000000000000002i−2i00000000-220000
χ282-222-2-22-2-2-222−2i2i−2i2i00000000000000−2i2i000000002-20000
χ292-2-222-2-222-2-222i−2i−2i2i2i−2i002i−2i00000000002-2000000000000
χ302-2-222-2-222-2-222i−2i−2i2i−2i2i00−2i2i0000000000-22000000000000
χ312-2-222-2-222-2-22−2i2i2i−2i2i−2i002i−2i0000000000-22000000000000
χ322-2-222-2-222-2-22−2i2i2i−2i−2i2i00−2i2i00000000002-2000000000000
χ332-2-222-2-22-222-200002i−2i00−2i2i002-2002i−2i0000000000000000
χ342-2-222-2-22-222-200002i−2i00−2i2i00-2200−2i2i0000000000000000
χ352-2-222-2-22-222-20000−2i2i002i−2i002-200−2i2i0000000000000000
χ362-2-222-2-22-222-20000−2i2i002i−2i00-22002i−2i0000000000000000
χ37444-44-4-4-400000000004-400000000000000000000000000
χ38444-44-4-4-40000000000-4400000000000000000000000000
χ3944-44-44-4-44-44-40000000000000000000000000000000000
χ4044-4-4-4-4440000000000000000000000000000002i2−2i2000000
χ4144-4-4-4-444000000000000000000000000000000−2i22i2000000
χ424-444-4-44-444-4-40000000000000000000000000000000000
χ434-44-4-44-4400000000000000000000000000000000002i2−2i200
χ444-44-4-44-440000000000000000000000000000000000−2i22i200
χ454-4-4-4444-4000000000000004i−4i0000000000000000000000
χ464-4-4-4444-400000000000000−4i4i0000000000000000000000

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