Finite Group Databasebeta

← Group #32549

Character table — Group #32549

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244444444444488888888444444444488884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
χ511111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11-11-1
χ611111111111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-11-11
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-11
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1
χ9111111111111-1-111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-11-1
χ10111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111-11
χ11111111111111-1-111-1-1-1-1-1-1-1-1111111-1-11-11111-1-111-1-1-11
χ12111111111111-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-111111-1
χ13111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-11-1-1-1-1-1-111-1111
χ14111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-111111-1-1111-1-1-1
χ15111111111111-1-1-1-111-1-1-1-1-1-111111111-11-1-11111-1-1-11-1-1
χ16111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-11-111
χ1722222222-2-2-2-22222-2-2-2-2000000000000-22000000000000
χ1822222222-2-2-2-222-2-222-2-20000000000002-2000000000000
χ1922222222-2-2-2-2-2-2222222000000000000-2-2000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22200000000000022000000000000
χ21222-2-2-22-2-22-220000000000002i2i−2i−2i2-20000002i−2i00000000
χ22222-2-2-22-2-22-220000000000002i2i−2i−2i-22000000−2i2i00000000
χ23222-2-2-22-2-22-22000000000000−2i−2i2i2i2-2000000−2i2i00000000
χ24222-2-2-22-2-22-22000000000000−2i−2i2i2i-220000002i−2i00000000
χ2522-22-2-2-220000002i−2i2i−2i2-2i2i2−i2−i2i2−i2i2−i200000000002−22−20000
χ2622-22-2-2-220000002i−2i2i−2i2-2−i2−i2i2i2−i2i2−i2i20000000000−22−220000
χ2722-22-2-2-220000002i−2i−2i2i-22i2i2−i2−i2−i2i2−i2i200000000002−2−220000
χ2822-22-2-2-220000002i−2i−2i2i-22−i2−i2i2i2i2−i2i2−i20000000000−222−20000
χ2922-22-2-2-22000000−2i2i2i−2i-22i2i2−i2−i2−i2i2−i2i20000000000−222−20000
χ3022-22-2-2-22000000−2i2i2i−2i-22−i2−i2i2i2i2−i2i2−i200000000002−2−220000
χ3122-22-2-2-22000000−2i2i−2i2i2-2i2i2−i2−i2i2−i2i2−i20000000000−22−220000
χ3222-22-2-2-22000000−2i2i−2i2i2-2−i2−i2i2i2−i2i2−i2i200000000002−22−20000
χ332-2-222-22-2-2-222000000002i−2i2i−2i0000002-2002i−2i0000000000
χ342-2-222-22-2-2-222000000002i−2i2i−2i000000-2200−2i2i0000000000
χ352-2-222-22-2-2-22200000000−2i2i−2i2i0000002-200−2i2i0000000000
χ362-2-222-22-2-2-22200000000−2i2i−2i2i000000-22002i−2i0000000000
χ37444-4-4-44-44-44-40000000000000000000000000000000000
χ3844-4-444-4-4000000000000000022−22−2222000000000000000000
χ3944-4-444-4-40000000000000000−222222−22000000000000000000
χ404-444-44-4-400000000000022−22−22220000000000000000000000
χ414-444-44-4-4000000000000−222222−220000000000000000000000
χ424-44-44-4-4400004i−4i00000000000000000000000000000000
χ434-44-44-4-440000−4i4i00000000000000000000000000000000
χ444-4-444-44-444-4-40000000000000000000000000000000000
χ454-4-4-4-44444-4-440000000000000000000000000000000000
χ464-4-4-4-4444-444-40000000000000000000000000000000000

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