Finite Group Databasebeta

← Group #27280

Character table — Group #27280

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244442244444488888888224444444488882444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11-1-11-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-111
χ511111111111111-1-1-1-1111111-1-1-1-111-111-1-1-1-1-111-1-1-1-111
χ611111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ711111111111111-1-1-1-111-1-1-1-1111111-111-11111-1-111-1-1-1-1
χ811111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ9111111111111-1-11111-1-11111111111-1-1-1-111-1-1-1-1-1-1-111-1
χ10111111111111-1-11111-1-111111111-1-1-111-1-1-111-1-1-1-11-1-11
χ11111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-11-11
χ12111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111-11-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-111-1-1111-11-1
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-11-11
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-111-1-11-1-11
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-111-1
χ1722222222-2-2-2-22222-2-2-2-20000000000-2002000000000000
χ1822222222-2-2-2-222-2-222-2-20000000000200-2000000000000
χ1922222222-2-2-2-2-2-222-2-2220000000000200-2000000000000
χ2022222222-2-2-2-2-2-2-2-222220000000000-2002000000000000
χ2122-22-2-22-22-2-222-200002-22i2i−2i−2i000000000000002i−2i000000
χ2222-22-2-22-22-2-222-200002-2−2i−2i2i2i00000000000000−2i2i000000
χ2322-22-2-22-22-2-22-220000-222i2i−2i−2i00000000000000−2i2i000000
χ2422-22-2-22-22-2-22-220000-22−2i−2i2i2i000000000000002i−2i000000
χ2522-22-2-22-2-222-22-20000-2200002i2i−2i−2i0000000000002i−2i0000
χ2622-22-2-22-2-222-22-20000-220000−2i−2i2i2i000000000000−2i2i0000
χ2722-22-2-22-2-222-2-2200002-200002i2i−2i−2i000000000000−2i2i0000
χ2822-22-2-22-2-222-2-2200002-20000−2i−2i2i2i0000000000002i−2i0000
χ292-22-22-22-222-2-20000000000002i−2i2i−2i0002-20002i−2i00000000
χ302-22-22-22-222-2-20000000000002i−2i2i−2i000-22000−2i2i00000000
χ312-22-22-22-222-2-2000000000000−2i2i−2i2i0002-2000−2i2i00000000
χ322-22-22-22-222-2-2000000000000−2i2i−2i2i000-220002i−2i00000000
χ332-2-2-2-2222-22-220000000000002-2-222-200002-20000000000
χ342-2-2-2-2222-22-220000000000002-2-22-220000-220000000000
χ352-2-2-2-2222-22-22000000000000-222-22-20000-220000000000
χ362-2-2-2-2222-22-22000000000000-222-2-2200002-20000000000
χ37444-4-4-4-44000000004i−4i0000000000000000000000000000
χ38444-4-4-4-4400000000−4i4i0000000000000000000000000000
χ3944-4-444-4-40000004i−4i000000000000000000000000000000
χ4044-4-444-4-4000000−4i4i000000000000000000000000000000
χ414-444-44-4-40000000000002i2−2i22i2−2i20000000000000000000000
χ424-444-44-4-4000000000000−2i22i2−2i22i20000000000000000000000
χ434-44-44-44-4-4-4440000000000000000000000000000000000
χ444-4-444-4-4400000000000022−22−22220000000000000000000000
χ454-4-444-4-44000000000000−222222−220000000000000000000000
χ464-4-4-4-44444-44-40000000000000000000000000000000000

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