Finite Group Databasebeta

← Group #9748

Character table — Group #9748

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888844448888888888884444
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
χ5111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91-1-11-1-11111-1-111-1-11-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ101-1-11-1-11111-1-111-1-11-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-11-11
χ111-1-11-1-11111-1-111-1-11-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-11-11
χ121-1-11-1-11111-1-111-1-11-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ131-1-11-1-11111-1-111-1-11-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ141-1-11-1-11111-1-111-1-11-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i-111-1
χ151-1-11-1-11111-1-111-1-11-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii-111-1
χ161-1-11-1-11111-1-111-1-11-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ1722222222222-2-2-2-22-2-2000000002-22-20000000000000000
χ1822222222222-2-2-2-22-2-200000000-22-220000000000000000
χ1922222222-2-2-22222-2-2-222-2-222-2-200000000000000000000
χ2022222222-2-2-22222-2-2-2-2-222-2-22200000000000000000000
χ2122222222-2-2-2-2-2-2-2-2220000000000002i−2i2i−2i000000000000
χ2222222222-2-2-2-2-2-2-2-222000000000000−2i2i−2i2i000000000000
χ23222-2-2-22-2000-22-22000002i−2i002i−2i00000000i2−i2i2−i22−22−20000
χ24222-2-2-22-2000-22-22000002i−2i002i−2i00000000−i2i2−i2i2−22−220000
χ25222-2-2-22-2000-22-2200000−2i2i00−2i2i00000000i2−i2i2−i2−22−220000
χ26222-2-2-22-2000-22-2200000−2i2i00−2i2i00000000−i2i2−i2i22−22−20000
χ272-2-22-2-22222-22-2-22-2-22000000002i−2i−2i2i0000000000000000
χ282-2-22-2-22222-22-2-22-2-2200000000−2i2i2i−2i0000000000000000
χ292-2-22-2-222-2-222-2-2222-20000000000002-2-22000000000000
χ302-2-22-2-222-2-222-2-2222-2000000000000-222-2000000000000
χ312-2-22-2-222-2-22-222-22-2222-2-2-2-22200000000000000000000
χ322-2-22-2-222-2-22-222-22-22-2-22222-2-200000000000000000000
χ332-2-2-2222-200022-2-2000002i−2i00−2i2i000000002−2−22−i2i2i2−i20000
χ342-2-2-2222-200022-2-2000002i−2i00−2i2i00000000−222−2i2−i2−i2i20000
χ352-2-2-2222-200022-2-200000−2i2i002i−2i000000002−2−22i2−i2−i2i20000
χ362-2-2-2222-200022-2-200000−2i2i002i−2i00000000−222−2−i2i2i2−i20000
χ37444-4-4-44-40004-44-40000000000000000000000000000000
χ3844-444-4-4-4000000000022−220022−220000000000000000000000
χ3944-444-4-4-40000000000−222200−22220000000000000000000000
χ4044-4-4-44-444-440000-4000000000000000000000000000000
χ4144-4-4-44-44-44-400004000000000000000000000000000000
χ424-444-44-4-4000000000022−2200−22220000000000000000000000
χ434-444-44-4-40000000000−22220022−220000000000000000000000
χ444-44-44-4-444-4-400004000000000000000000000000000000
χ454-44-44-4-44-4440000-4000000000000000000000000000000
χ464-4-4-4444-4000-4-4440000000000000000000000000000000

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