Finite Group Databasebeta

← Group #32389

Character table — Group #32389

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244444444444488888888444444444488882444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ511111111111111-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-1-111-11-1-1
χ611111111111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-111-1-1111-111
χ711111111111111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-111-1-1-1111
χ811111111111111-1-1-1-1-1-1-1-1-1-11111-11-1-111111111-1-11-1-1-1
χ9111111111111-1-11111-1-111111111-1-11111-1-1-1-1-1-1-1-11-11-1
χ10111111111111-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-1-11-11
χ11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-1-11
χ12111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1
χ13111111111111-1-1-1-1-1-1111111-1-1-1-11-11111-1-11111-1-1-1-1-11
χ14111111111111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-111-1-111-1-1111-1
χ15111111111111-1-1-1-1-1-111-1-1-1-111111-111-1-11111-1-111-1-11-1
χ16111111111111-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-1-1-1-1-11111-11
χ1722222222-2-2-2-22222-2-2-2-2000000002-20000000000000000
χ1822222222-2-2-2-222-2-2222200000000-2-20000000000000000
χ1922222222-2-2-2-2-2-222-2-22200000000-220000000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-200000000220000000000000000
χ2122-22-22-2-2-22-2200000000000022-2-20000002i−2i2i−2i00000000
χ2222-22-22-2-2-22-2200000000000022-2-2000000−2i2i−2i2i00000000
χ2322-22-22-2-2-22-22000000000000-2-2220000002i−2i−2i2i00000000
χ2422-22-22-2-2-22-22000000000000-2-222000000−2i2i2i−2i00000000
χ2522-2-2-2-22222-2-20000000022-2-20000002i−2i2i−2i000000000000
χ2622-2-2-2-22222-2-20000000022-2-2000000−2i2i−2i2i000000000000
χ2722-2-2-2-22222-2-200000000-2-2220000002i−2i−2i2i000000000000
χ2822-2-2-2-22222-2-200000000-2-222000000−2i2i2i−2i000000000000
χ292-222-2-2-2200002-2002i−2i2i−2i2−22−2i2−i2i2−i20000000000i2−i22−20000
χ302-222-2-2-2200002-2002i−2i2i−2i−22−22−i2i2−i2i20000000000−i2i2−220000
χ312-222-2-2-2200002-200−2i2i−2i2i2−22−2−i2i2−i2i20000000000−i2i22−20000
χ322-222-2-2-2200002-200−2i2i−2i2i−22−22i2−i2i2−i20000000000i2−i2−220000
χ332-222-2-2-220000-22002i−2i−2i2i2−22−2i2−i2i2−i20000000000−i2i2−220000
χ342-222-2-2-220000-22002i−2i−2i2i−22−22−i2i2−i2i20000000000i2−i22−20000
χ352-222-2-2-220000-2200−2i2i2i−2i2−22−2−i2i2−i2i20000000000i2−i2−220000
χ362-222-2-2-220000-2200−2i2i2i−2i−22−22i2−i2i2−i20000000000−i2i22−20000
χ37444-44-4-4-44-4-440000000000000000000000000000000000
χ38444-44-4-4-4-444-40000000000000000000000000000000000
χ3944-44-44-4-44-44-40000000000000000000000000000000000
χ4044-4-4-4-444-4-4440000000000000000000000000000000000
χ414-44-4-444-40000004i−4i000000000000000000000000000000
χ424-44-4-444-4000000−4i4i000000000000000000000000000000
χ434-4-444-44-400000000000000002i2−2i2−2i22i2000000000000000000
χ444-4-444-44-40000000000000000−2i22i22i2−2i2000000000000000000
χ454-4-4-444-4400000000000022−22−22220000000000000000000000
χ464-4-4-444-44000000000000−222222−220000000000000000000000

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