Finite Group Databasebeta

← Group #24909

Character table — Group #24909

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244442222224444442222444444448888888844
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-11111-11-1-1-1-1-1-111-1-111-1-1-11
χ4111111111111111111-1-1-1-1-1-111-1-1-11-1-111-1-1-1-111-1-1111-1
χ51111111111111111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1
χ61111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ71111111111111111-1-1-1-111-1-1-1-1111-111-1-1-1-11111-1-1-1-11-1
χ81111111111111111-1-1-1-111-1-1-1-1-1-11-11111-1-1-1-1-1-11111-11
χ9111111111111-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111
χ10111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111111-1-1
χ11111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1111-1-111-1-111-1-111-11
χ12111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11-1
χ13111111111111-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1-1-1
χ14111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111
χ15111111111111-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-111-1-1-1-111111-1
χ16111111111111-1-1-1-1-1-1-1-111-1-111-1-11-1-1-111111111-1-1-1-1-11
χ1722222222-2-2-2-200002222-2-2-2-200002-20000000000000000
χ1822222222-2-2-2-2000022-2-222220000-2-20000000000000000
χ1922222222-2-2-2-20000-2-22222-2-20000-220000000000000000
χ2022222222-2-2-2-20000-2-2-2-2-2-2220000220000000000000000
χ2122-222-2-2-22-2-220000002i−2i002i−2i2-200002i−2i00000000000000
χ2222-222-2-2-22-2-220000002i−2i002i−2i-220000−2i2i00000000000000
χ2322-222-2-2-22-2-22000000−2i2i00−2i2i2-20000−2i2i00000000000000
χ2422-222-2-2-22-2-22000000−2i2i00−2i2i-2200002i−2i00000000000000
χ2522-222-2-2-2-222-222-2-2002i−2i00−2i2i00000000002i−2i0000000000
χ2622-222-2-2-2-222-222-2-200−2i2i002i−2i0000000000−2i2i0000000000
χ2722-222-2-2-2-222-2-2-222002i−2i00−2i2i0000000000−2i2i0000000000
χ2822-222-2-2-2-222-2-2-22200−2i2i002i−2i00000000002i−2i0000000000
χ292-222-22-2-222-2-22-22-200000000000000002i−2i000000002i−2i00
χ302-222-22-2-222-2-22-22-20000000000000000−2i2i00000000−2i2i00
χ312-222-22-2-222-2-2-22-2200000000000000002i−2i00000000−2i2i00
χ322-222-22-2-222-2-2-22-220000000000000000−2i2i000000002i−2i00
χ332-2-22-2-222-22-222-2-2200000000002-2000000002-200000000
χ342-2-22-2-222-22-222-2-220000000000-2200000000-2200000000
χ352-2-22-2-222-22-22-222-200000000002-200000000-2200000000
χ362-2-22-2-222-22-22-222-20000000000-22000000002-200000000
χ37444-4-4-44-40000000000004i−4i000000000000000000000000
χ38444-4-4-44-4000000000000−4i4i000000000000000000000000
χ3944-4-4-44-44000000004-40000000000000000000000000000
χ4044-4-4-44-4400000000-440000000000000000000000000000
χ414-444-44-4-4-4-4440000000000000000000000000000000000
χ424-44-44-4-440000000000000000000000000000000022−220000
χ434-44-44-4-4400000000000000000000000000000000−22220000
χ444-4-44-4-4444-44-40000000000000000000000000000000000
χ454-4-4-4444-400000000000000000000000000000022−22000000
χ464-4-4-4444-4000000000000000000000000000000−2222000000

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