Finite Group Databasebeta

← Group #9741

Character table — Group #9741

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
χ91-1-11-1-111-111-111-1-11-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ101-1-11-1-111-111-111-1-11-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-11-11
χ111-1-11-1-111-111-111-1-11-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-11-11
χ121-1-11-1-111-111-111-1-11-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ131-1-11-1-111-111-111-1-11-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ141-1-11-1-111-111-111-1-11-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i-111-1
χ151-1-11-1-111-111-111-1-11-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii-111-1
χ161-1-11-1-111-111-111-1-11-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ17222222222-2-2-2222-2-2-222-2-222-2-200000000000000000000
χ18222222222-2-2-2222-2-2-2-2-222-2-22200000000000000000000
χ1922222222-2222-2-2-22-2-2000000002-22-20000000000000000
χ2022222222-2222-2-2-22-2-200000000-22-220000000000000000
χ2122222222-2-2-2-2-2-2-2-2220000000000002i−2i2i−2i000000000000
χ2222222222-2-2-2-2-2-2-2-222000000000000−2i2i−2i2i000000000000
χ232222-2-2-2-220002-2-2000002-2002-2000000002−22−22−22−20000
χ242222-2-2-2-220002-2-2000002-2002-200000000−22−22−22−220000
χ252222-2-2-2-220002-2-200000-2200-22000000002−22−2−22−220000
χ262222-2-2-2-220002-2-200000-2200-2200000000−22−222−22−20000
χ272-2-2222-2-2-20002-22000002-200-2200000000i2−i2−i2i2i2−i2−i2i20000
χ282-2-2222-2-2-20002-22000002-200-2200000000−i2i2i2−i2−i2i2i2−i20000
χ292-2-2222-2-2-20002-2200000-22002-200000000i2−i2−i2i2−i2i2i2−i20000
χ302-2-2222-2-2-20002-2200000-22002-200000000−i2i2i2−i2i2−i2−i2i20000
χ312-2-22-2-222222-2-2-22-2-22000000002i−2i−2i2i0000000000000000
χ322-2-22-2-222222-2-2-22-2-2200000000−2i2i2i−2i0000000000000000
χ332-2-22-2-2222-2-22-2-2222-20000000000002-2-22000000000000
χ342-2-22-2-2222-2-22-2-2222-2000000000000-222-2000000000000
χ352-2-22-2-222-2-2-2222-22-2222-2-2-2-22200000000000000000000
χ362-2-22-2-222-2-2-2222-22-22-2-22222-2-200000000000000000000
χ374444-4-4-4-4-4000-4440000000000000000000000000000000
χ3844-4-44-44-400000000002i2−2i2002i2−2i20000000000000000000000
χ3944-4-44-44-40000000000−2i22i200−2i22i20000000000000000000000
χ4044-4-4-44-4404-44000-4000000000000000000000000000000
χ4144-4-4-44-440-44-40004000000000000000000000000000000
χ424-44-44-4-4404-4-40004000000000000000000000000000000
χ434-44-44-4-440-444000-4000000000000000000000000000000
χ444-44-4-444-400000000002i2−2i200−2i22i20000000000000000000000
χ454-44-4-444-40000000000−2i22i2002i2−2i20000000000000000000000
χ464-4-4444-4-44000-44-40000000000000000000000000000000

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