Finite Group Databasebeta

← Group #8652

Character table — Group #8652

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888822448888888888884444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91-1-1-1111-111-1-11-1-111-111-1-111-1-11-11-1ii−i−iii−i−i11-1-1i−ii−i
χ101-1-1-1111-111-1-11-1-111-111-1-111-1-11-11-1−i−iii−i−iii11-1-1−ii−ii
χ111-1-1-1111-111-1-11-1-111-111-1-111-1-1-11-11ii−i−iii−i−i-1-111−ii−ii
χ121-1-1-1111-111-1-11-1-111-111-1-111-1-1-11-11−i−iii−i−iii-1-111i−ii−i
χ131-1-1-1111-111-1-11-1-111-1-1-111-1-1111-11-1ii−i−i−i−iii-1-111i−i−ii
χ141-1-1-1111-111-1-11-1-111-1-1-111-1-1111-11-1−i−iiiii−i−i-1-111−iii−i
χ151-1-1-1111-111-1-11-1-111-1-1-111-1-111-11-11ii−i−i−i−iii11-1-1−iii−i
χ161-1-1-1111-111-1-11-1-111-1-1-111-1-111-11-11−i−iiiii−i−i11-1-1i−i−ii
χ172222222222-2-2-222-2-2-20000000022-2-20000000000000000
χ182222222222-2-2-222-2-2-200000000-2-2220000000000000000
χ1922222222-2-2222-2-22-2-22222-2-2-2-200000000000000000000
χ2022222222-2-2222-2-22-2-2-2-2-2-2222200000000000000000000
χ2122222222-2-2-2-2-2-2-2-222000000000000000000002i−2i2i−2i0000
χ2222222222-2-2-2-2-2-2-2-22200000000000000000000−2i2i−2i2i0000
χ23222-2-2-22-2002-2-20020000002-22-20000i2−i2i2−i2i2−i2i2−i200000000
χ24222-2-2-22-2002-2-20020000002-22-20000−i2i2−i2i2−i2i2−i2i200000000
χ25222-2-2-22-2002-2-2002000000-22-220000i2−i2i2−i2−i2i2−i2i200000000
χ26222-2-2-22-2002-2-2002000000-22-220000−i2i2−i2i2i2−i2i2−i200000000
χ272-2-22-2-22200-22-20020000002-2-2200002−2−222−2−2200000000
χ282-2-22-2-22200-22-20020000002-2-220000−222−2−222−200000000
χ292-2-22-2-22200-22-2002000000-222-200002−2−22−222−200000000
χ302-2-22-2-22200-22-2002000000-222-20000−222−22−2−2200000000
χ312-2-2-2222-22222-2-2-2-2-22000000002-2-220000000000000000
χ322-2-2-2222-22222-2-2-2-2-2200000000-222-20000000000000000
χ332-2-2-2222-2-2-222-222-22-2000000000000000000002i−2i−2i2i0000
χ342-2-2-2222-2-2-222-222-22-200000000000000000000−2i2i2i−2i0000
χ352-2-2-2222-2-2-2-2-22222-2222-2-2-2-22200000000000000000000
χ362-2-2-2222-2-2-2-2-22222-22-2-22222-2-200000000000000000000
χ37444-4-4-44-400-44400-4000000000000000000000000000000
χ3844-444-4-4-4000000000022−2222−22000000000000000000000000
χ3944-444-4-4-40000000000−2222−2222000000000000000000000000
χ4044-4-4-44-444-40004-40000000000000000000000000000000
χ4144-4-4-44-44-44000-440000000000000000000000000000000
χ424-444-44-4-44-4000-440000000000000000000000000000000
χ434-444-44-4-4-440004-40000000000000000000000000000000
χ444-44-44-4-44000000000022−22−2222000000000000000000000000
χ454-44-44-4-440000000000−222222−22000000000000000000000000
χ464-4-44-4-444004-4400-4000000000000000000000000000000

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