Finite Group Databasebeta

← Group #27142

Character table — Group #27142

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244444444444444444444444444448888888844
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111
χ51111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111
χ9111111111111-1-1-1-1111111-1-1-1111-1-1-1-111-1-1-1-1-1-11111-11
χ10111111111111-1-1-1-1111111-1-1-11-1-1-1-1-1-111111111-1-1-1-11-1
χ11111111111111-1-1-1-11111-1-1111-11111-1-1-1-1-1-1-1-11111-1-11-1
χ12111111111111-1-1-1-11111-1-1111-1-1-111-1-1-1-11111-1-1-1-111-11
χ13111111111111-1-1-1-1-1-1-1-111-1-1-11111111-1-1-1-11111-1-1-1-1-11
χ14111111111111-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-111-1-1-1-111111-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1111-111-1-11111-1-111-1-1-1-1111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-11111-1-1-11
χ1722222222-2-2-2-222-2-2000022-2-22-200000000000000000000
χ1822222222-2-2-2-222-2-20000-2-222-2200000000000000000000
χ1922222222-2-2-2-2-2-22200002222-2-200000000000000000000
χ2022222222-2-2-2-2-2-2220000-2-2-2-22200000000000000000000
χ2122-2-22-2-222-2-222i−2i2i−2i2i2i−2i−2i00000000002-200000000000000
χ2222-2-22-2-222-2-222i−2i2i−2i−2i−2i2i2i0000000000-2200000000000000
χ2322-2-22-2-222-2-22−2i2i−2i2i2i2i−2i−2i0000000000-2200000000000000
χ2422-2-22-2-222-2-22−2i2i−2i2i−2i−2i2i2i00000000002-200000000000000
χ2522-2-22-2-22-222-22i−2i−2i2i0000000000002i−2i002-2000000000000
χ2622-2-22-2-22-222-22i−2i−2i2i000000000000−2i2i00-22000000000000
χ2722-2-22-2-22-222-2−2i2i2i−2i0000000000002i−2i00-22000000000000
χ2822-2-22-2-22-222-2−2i2i2i−2i000000000000−2i2i002-2000000000000
χ292-22-222-2-2-22-2200002i−2i2i−2i0000002i−2i0000000000002-20000
χ302-22-222-2-2-22-2200002i−2i2i−2i000000−2i2i000000000000-220000
χ312-22-222-2-2-22-220000−2i2i−2i2i0000002i−2i000000000000-220000
χ322-22-222-2-2-22-220000−2i2i−2i2i000000−2i2i0000000000002-20000
χ332-2-222-22-2-2-22200002-2-22000000000000002i−2i2i−2i00000000
χ342-2-222-22-2-2-22200002-2-2200000000000000−2i2i−2i2i00000000
χ352-2-222-22-2-2-2220000-222-2000000000000002i−2i−2i2i00000000
χ362-2-222-22-2-2-2220000-222-200000000000000−2i2i2i−2i00000000
χ37444-4-4-44-4000000000000000000000000000000000022−2200
χ38444-4-4-44-40000000000000000000000000000000000−222200
χ3944-44-44-4-400000000000000000000000000000022−22000000
χ4044-44-44-4-4000000000000000000000000000000−2222000000
χ414-444-4-4-440000000000004i−4i000000000000000000000000
χ424-444-4-4-44000000000000−4i4i000000000000000000000000
χ434-44-444-4-44-44-40000000000000000000000000000000000
χ444-4-444-44-444-4-40000000000000000000000000000000000
χ454-4-4-4-4444000000000000004-40000000000000000000000
χ464-4-4-4-444400000000000000-440000000000000000000000

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