Finite Group Databasebeta

← Group #28725

Character table — Group #28725

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444444444444444444444888888884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-11-11
χ1211111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-11-1
χ1311111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-11
χ1411111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-111-1
χ1511111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-11
χ17222222222222-2-2-2-222-2-2-2-222-2-200000000000000000000
χ18222222222222-2-2-2-2-2-222-2-2-2-22200000000000000000000
χ1922222222-2-2-2-2-2-2-2-222-2-222-2-22200000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000
χ2122-2-222-2-222-2-22-22-200002-200000000000000002i−2i2i−2i0000
χ2222-2-222-2-222-2-22-22-200002-20000000000000000−2i2i−2i2i0000
χ2322-2-222-2-222-2-2-22-220000-220000000000002i−2i2i−2i00000000
χ2422-2-222-2-222-2-2-22-220000-22000000000000−2i2i−2i2i00000000
χ2522-2-222-2-2-2-2222-22-20000-2200000000000000002i−2i−2i2i0000
χ2622-2-222-2-2-2-2222-22-20000-220000000000000000−2i2i2i−2i0000
χ2722-2-222-2-2-2-222-22-2200002-20000000000002i−2i−2i2i00000000
χ2822-2-222-2-2-2-222-22-2200002-2000000000000−2i2i2i−2i00000000
χ292-2-2-22-222000022-2-20000002-22-2002i−2i2i−2i00000000000000
χ302-2-2-22-222000022-2-20000002-22-200−2i2i−2i2i00000000000000
χ312-2-2-22-222000022-2-2000000-22-22002i−2i−2i2i00000000000000
χ322-2-2-22-222000022-2-2000000-22-2200−2i2i2i−2i00000000000000
χ332-2-2-22-2220000-2-2220000002-2-222-200002-2000000000000
χ342-2-2-22-2220000-2-2220000002-2-22-220000-22000000000000
χ352-2-2-22-2220000-2-222000000-222-22-20000-22000000000000
χ362-2-2-22-2220000-2-222000000-222-2-2200002-2000000000000
χ37444-4-4-44-44-44-40000000000000000000000000000000000
χ38444-4-4-44-4-44-440000000000000000000000000000000000
χ3944-44-4-4-444-4-440000000000000000000000000000000000
χ4044-44-4-4-44-444-40000000000000000000000000000000000
χ414-4444-4-4-400004-4-44000000000000000000000000000000
χ424-4444-4-4-40000-444-4000000000000000000000000000000
χ434-44-4-44-4400000000004i−4i00000000000000000000000000
χ444-44-4-44-440000000000−4i4i00000000000000000000000000
χ454-4-44-444-4000000004i−4i0000000000000000000000000000
χ464-4-44-444-400000000−4i4i0000000000000000000000000000

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