Finite Group Databasebeta

← Group #9621

Character table — Group #9621

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
χ91-1111-1-1-1-1-1-11111-11-11111-1-1-1-1ii−i−iii−i−i11-1-111-1-1i−ii−i
χ101-1111-1-1-1-1-1-11111-11-11111-1-1-1-1ii−i−iii−i−i-1-111-1-111−ii−ii
χ111-1111-1-1-1-1-1-11111-11-11111-1-1-1-1−i−iii−i−iii11-1-111-1-1−ii−ii
χ121-1111-1-1-1-1-1-11111-11-11111-1-1-1-1−i−iii−i−iii-1-111-1-111i−ii−i
χ131-1111-1-1-1-1-1-11111-11-1-1-1-1-11111ii−i−i−i−iii11-1-1-1-111i−i−ii
χ141-1111-1-1-1-1-1-11111-11-1-1-1-1-11111ii−i−i−i−iii-1-11111-1-1−iii−i
χ151-1111-1-1-1-1-1-11111-11-1-1-1-1-11111−i−iiiii−i−i11-1-1-1-111−iii−i
χ161-1111-1-1-1-1-1-11111-11-1-1-1-1-11111−i−iiiii−i−i-1-11111-1-1i−i−ii
χ172222222222-2-2-222-2-2-2000000002-22-20000000000000000
χ182222222222-2-2-222-2-2-200000000-22-220000000000000000
χ1922222222-2-2222-2-22-2-222-2-222-2-200000000000000000000
χ2022222222-2-2222-2-22-2-2-2-222-2-22200000000000000000000
χ2122222222-2-2-2-2-2-2-2-2220000000000002i−2i2i−2i000000000000
χ2222222222-2-2-2-2-2-2-2-222000000000000−2i2i−2i2i000000000000
χ23222-2-2-2-220022-200-200002-2002-200000000i2−i2i2−i2i2−i2i2−i20000
χ24222-2-2-2-220022-200-200002-2002-200000000−i2i2−i2i2−i2i2−i2i20000
χ25222-2-2-2-220022-200-20000-2200-2200000000i2−i2i2−i2−i2i2−i2i20000
χ26222-2-2-2-220022-200-20000-2200-2200000000−i2i2−i2i2i2−i2i2−i20000
χ272-2222-2-2-2222-2-2-2-222-20000000000002-2-22000000000000
χ282-2222-2-2-2222-2-2-2-222-2000000000000-222-2000000000000
χ292-2222-2-2-222-222-2-2-2-2222-2-2-2-22200000000000000000000
χ302-2222-2-2-222-222-2-2-2-22-2-22222-2-200000000000000000000
χ312-2222-2-2-2-2-22-2-2222-22000000002i−2i−2i2i0000000000000000
χ322-2222-2-2-2-2-22-2-2222-2200000000−2i2i2i−2i0000000000000000
χ332-22-2-222-200-22-200200002-200-2200000000i2−i2−i2i2i2−i2−i2i20000
χ342-22-2-222-200-22-200200002-200-2200000000−i2i2i2−i2−i2i2i2−i20000
χ352-22-2-222-200-22-20020000-22002-200000000i2−i2−i2i2−i2i2i2−i20000
χ362-22-2-222-200-22-20020000-22002-200000000−i2i2i2−i2i2−i2−i2i20000
χ37444-4-4-4-4400-4-44004000000000000000000000000000000
χ3844-44-44-4-4000000000022−220022−220000000000000000000000
χ3944-44-44-4-40000000000−222200−22220000000000000000000000
χ4044-4-44-44-44-40004-40000000000000000000000000000000
χ4144-4-44-44-4-44000-440000000000000000000000000000000
χ424-44-4-444-4004-4400-4000000000000000000000000000000
χ434-4-44-4-444000000000022−2200−22220000000000000000000000
χ444-4-44-4-4440000000000−22220022−220000000000000000000000
χ454-4-4-444-444-4000-440000000000000000000000000000000
χ464-4-4-444-44-440004-40000000000000000000000000000000

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