Finite Group Databasebeta

← Group #24513

Character table — Group #24513

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244442244444488888888224444444488882444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-11-11-1
χ611111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-11
χ711111111111111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-11-11
χ811111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-11-1
χ9111111111111-1-111-1-1111111111111-1-1-1-111-1-1-1-1-1-11-1-11
χ10111111111111-1-111-1-11111111111-1-1-1-111-1-111-1-1-1-1-111-1
χ11111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-111-1
χ12111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-11
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-111-1-1
χ1722222222-2-2-2-22222-2-2-2-20000000000-2200000000000000
χ1822222222-2-2-2-222-2-2-2-22200000000002-200000000000000
χ1922222222-2-2-2-2-2-22222-2-200000000002-200000000000000
χ2022222222-2-2-2-2-2-2-2-222220000000000-2200000000000000
χ2122-22-22-2-22-22-2002i−2i002i−2i000000002-200002i−2i0000000000
χ2222-22-22-2-22-22-2002i−2i002i−2i00000000-220000−2i2i0000000000
χ2322-22-22-2-22-22-200−2i2i00−2i2i000000002-20000−2i2i0000000000
χ2422-22-22-2-22-22-200−2i2i00−2i2i00000000-2200002i−2i0000000000
χ2522-22-22-2-2-22-22002i−2i00−2i2i0000000000002-2002i−2i00000000
χ2622-22-22-2-2-22-22002i−2i00−2i2i000000000000-2200−2i2i00000000
χ2722-22-22-2-2-22-2200−2i2i002i−2i0000000000002-200−2i2i00000000
χ2822-22-22-2-2-22-2200−2i2i002i−2i000000000000-22002i−2i00000000
χ292-2-2-2222-222-2-22-2002-20000002i2i−2i−2i0000000000002i−2i0000
χ302-2-2-2222-222-2-22-2002-2000000−2i−2i2i2i000000000000−2i2i0000
χ312-2-2-2222-222-2-2-2200-220000002i2i−2i−2i000000000000−2i2i0000
χ322-2-2-2222-222-2-2-2200-22000000−2i−2i2i2i0000000000002i−2i0000
χ332-2-2-2222-2-2-2222-200-220022-2-2000000000000002-2000000
χ342-2-2-2222-2-2-2222-200-2200-2-22200000000000000-22000000
χ352-2-2-2222-2-2-222-22002-20022-2-200000000000000-22000000
χ362-2-2-2222-2-2-222-22002-200-2-222000000000000002-2000000
χ37444-44-4-4-400000000000022−2222−220000000000000000000000
χ38444-44-4-4-4000000000000−2222−22220000000000000000000000
χ3944-4-4-4-444000000000000000022−2222−22000000000000000000
χ4044-4-4-4-4440000000000000000−2222−2222000000000000000000
χ414-444-4-44-400000000000000002i2−2i2−2i22i2000000000000000000
χ424-444-4-44-40000000000000000−2i22i22i2−2i2000000000000000000
χ434-44-4-44-444-4-440000000000000000000000000000000000
χ444-44-4-44-44-444-40000000000000000000000000000000000
χ454-4-444-4-4400000000000022−22−22220000000000000000000000
χ464-4-444-4-44000000000000−222222−220000000000000000000000

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