Finite Group Databasebeta

← Group #28025

Character table — Group #28025

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244444444444488888888444444444488882444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-11-1
χ411111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-11
χ51111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1
χ9111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-111-1-1-1-1
χ10111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ11111111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-11-11
χ12111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11-11-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-11
χ1722222222-2-2-2-222-2-222-2-2000000002-20000000000000000
χ1822222222-2-2-2-222-2-2-2-22200000000-220000000000000000
χ1922222222-2-2-2-2-2-22222-2-200000000-220000000000000000
χ2022222222-2-2-2-2-2-222-2-222000000002-20000000000000000
χ2122-2-22-2-2222-2-20000000022-2-20000002i−2i2i−2i000000000000
χ2222-2-22-2-2222-2-20000000022-2-2000000−2i2i−2i2i000000000000
χ2322-2-22-2-2222-2-200000000-2-2220000002i−2i−2i2i000000000000
χ2422-2-22-2-2222-2-200000000-2-222000000−2i2i2i−2i000000000000
χ252-2222-2-2-2-22-22000000002-22-200000000002i−2i2i−2i00000000
χ262-2222-2-2-2-22-22000000002-22-20000000000−2i2i−2i2i00000000
χ272-2222-2-2-2-22-2200000000-22-2200000000002i−2i−2i2i00000000
χ282-2222-2-2-2-22-2200000000-22-220000000000−2i2i2i−2i00000000
χ292-2-2-2222-22-2-2200002i−2i2i−2i000022-2-200000000002i−2i000000
χ302-2-2-2222-22-2-2200002i−2i2i−2i0000-2-2220000000000−2i2i000000
χ312-2-2-2222-22-2-220000−2i2i−2i2i000022-2-20000000000−2i2i000000
χ322-2-2-2222-22-2-220000−2i2i−2i2i0000-2-22200000000002i−2i000000
χ332-2-2-2222-2-222-200002i−2i−2i2i2-2-2200000000000000002i−2i0000
χ342-2-2-2222-2-222-200002i−2i−2i2i-222-20000000000000000−2i2i0000
χ352-2-2-2222-2-222-20000−2i2i2i−2i2-2-220000000000000000−2i2i0000
χ362-2-2-2222-2-222-20000−2i2i2i−2i-222-200000000000000002i−2i0000
χ37444-4-44-4-4000000000000000022−2222−22000000000000000000
χ38444-4-44-4-40000000000000000−2222−2222000000000000000000
χ3944-44-4-44-40000004-4000000000000000000000000000000
χ4044-44-4-44-4000000-44000000000000000000000000000000
χ4144-4-44-4-44-4-4440000000000000000000000000000000000
χ424-4444-4-4-44-44-40000000000000000000000000000000000
χ434-44-4-4-44400004-400000000000000000000000000000000
χ444-44-4-4-4440000-4400000000000000000000000000000000
χ454-4-44-44-44000000000000000022−22−2222000000000000000000
χ464-4-44-44-440000000000000000−222222−22000000000000000000

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