Finite Group Databasebeta

← Group #24167

Character table — Group #24167

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222244444444444422222444444444444488888888
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ511111111111111-1-111-1-1-1111111-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ611111111111111-1-111-1-1-111-1-111-1-1-111-1-1-1-111-1-1-1-11111
χ711111111111111-1-111-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-11111
χ811111111111111-1-111-1-1-1-1-1-1-1-1-111-11111-1-1111111-1-1-1-1
χ9111111111111-1-111-1-111-11111-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111111-1-111-1-111-111-1-1-1-1-1-1-1-1-1111111-1-111-1-111
χ11111111111111-1-111-1-111-1-1-1111111-111-1-1-1-1-1-1-1-111-1-111
χ12111111111111-1-111-1-111-1-1-1-1-11111-1-1-1-1-1111111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-11-1-11111-1-11-1-111-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-11111111-1-111-1-1-1-111
χ1722222222-2-2-2-22222-2-2-2-2-20000000020000000000000000
χ1822222222-2-2-2-222-2-2-2-222200000000-20000000000000000
χ1922222222-2-2-2-2-2-22222-2-2200000000-20000000000000000
χ2022222222-2-2-2-2-2-2-2-22222-20000000020000000000000000
χ2122-22-2-22-22-22-22i−2i002i−2i0000000002-20002i−2i000000000000
χ2222-22-2-22-22-22-22i−2i002i−2i000000000-22000−2i2i000000000000
χ2322-22-2-22-22-22-2−2i2i00−2i2i0000000002-2000−2i2i000000000000
χ2422-22-2-22-22-22-2−2i2i00−2i2i000000000-220002i−2i000000000000
χ2522-22-2-22-2-22-222i−2i00−2i2i0002-2002i−2i0000000000000000000
χ2622-22-2-22-2-22-222i−2i00−2i2i000-2200−2i2i0000000000000000000
χ2722-22-2-22-2-22-22−2i2i002i−2i0002-200−2i2i0000000000000000000
χ2822-22-2-22-2-22-22−2i2i002i−2i000-22002i−2i0000000000000000000
χ292-2-2-22-2222-2-22002-2002-20002-2000002-200000000000000
χ302-2-2-22-2222-2-22002-2002-2000-2200000-2200000000000000
χ312-2-2-22-2222-2-2200-2200-220002-200000-2200000000000000
χ322-2-2-22-2222-2-2200-2200-22000-22000002-200000000000000
χ332-2-2-22-222-222-2002-200-22000000000000002-22-200000000
χ342-2-2-22-222-222-2002-200-2200000000000000-22-2200000000
χ352-2-2-22-222-222-200-22002-2000000000000002-2-2200000000
χ362-2-2-22-222-222-200-22002-200000000000000-222-200000000
χ37444-44-4-4-400000000000000000000000000000022−22000000
χ38444-44-4-4-4000000000000000000000000000000−2222000000
χ3944-4-4-44-440000000000000000000000000000000022−220000
χ4044-4-4-44-4400000000000000000000000000000000−22220000
χ414-444-4-4-4400000000000000000000000000000000000022−22
χ424-444-4-4-44000000000000000000000000000000000000−2222
χ434-44-4-444-444-4-40000000000000000000000000000000000
χ444-44-4-444-4-4-4440000000000000000000000000000000000
χ454-4-4444-4-400000000000000000000000000000000002i2−2i200
χ464-4-4444-4-40000000000000000000000000000000000−2i22i200

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