Finite Group Databasebeta

← Group #9569

Character table — Group #9569

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
χ91-1-111-11-11-11-1-11-111-1iiii−i−i−i−ii−ii−i11-1-1ii−i−i11-1-11-1i−i
χ101-1-111-11-11-11-1-11-111-1iiii−i−i−i−ii−ii−i11-1-1−i−iii-1-111-11−ii
χ111-1-111-11-11-11-1-11-111-1iiii−i−i−i−i−ii−ii-1-111ii−i−i11-1-1-11−ii
χ121-1-111-11-11-11-1-11-111-1iiii−i−i−i−i−ii−ii-1-111−i−iii-1-1111-1i−i
χ131-1-111-11-11-11-1-11-111-1−i−i−i−iiiiii−ii−i-1-111ii−i−i-1-1111-1−ii
χ141-1-111-11-11-11-1-11-111-1−i−i−i−iiiiii−ii−i-1-111−i−iii11-1-1-11i−i
χ151-1-111-11-11-11-1-11-111-1−i−i−i−iiiii−ii−ii11-1-1ii−i−i-1-111-11i−i
χ161-1-111-11-11-11-1-11-111-1−i−i−i−iiiii−ii−ii11-1-1−i−iii11-1-11-1−ii
χ172222222222-2-2-222-2-2-20000000022-2-20000000000000000
χ182222222222-2-2-222-2-2-200000000-2-2220000000000000000
χ1922222222-2-2222-2-22-2-222-2-222-2-200000000000000000000
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
χ23222-2-2-22-200-22-200200002i−2i002i−2i00000000i2−i2i2−i22−22−20000
χ24222-2-2-22-200-22-200200002i−2i002i−2i00000000−i2i2−i2i2−22−220000
χ25222-2-2-22-200-22-20020000−2i2i00−2i2i00000000i2−i2i2−i2−22−220000
χ26222-2-2-22-200-22-20020000−2i2i00−2i2i00000000−i2i2−i2i22−22−20000
χ272-2-222-22-22-2-2222-2-2-22000000002i−2i−2i2i0000000000000000
χ282-2-222-22-22-2-2222-2-2-2200000000−2i2i2i−2i0000000000000000
χ292-2-222-22-2-222-2-2-222-222i2i−2i−2i−2i−2i2i2i00000000000000000000
χ302-2-222-22-2-222-2-2-222-22−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ312-2-222-22-2-22-222-22-22-20000000000002i−2i−2i2i000000000000
χ322-2-222-22-2-22-222-22-22-2000000000000−2i2i2i−2i000000000000
χ332-2-2-2-222200-2-2200200002-200-22000000002−2−222−2−220000
χ342-2-2-2-222200-2-2200200002-200-2200000000−222−2−222−20000
χ352-2-2-2-222200-2-220020000-22002-2000000002−2−22−222−20000
χ362-2-2-2-222200-2-220020000-22002-200000000−222−22−2−220000
χ37444-4-4-44-4004-4400-4000000000000000000000000000000
χ3844-44-44-4-4000000000022−220022−220000000000000000000000
χ3944-44-44-4-40000000000−222200−22220000000000000000000000
χ4044-4-44-4-4444000-4-40000000000000000000000000000000
χ4144-4-44-4-44-4-4000440000000000000000000000000000000
χ424-444-4-4-4400000000002i2−2i200−2i22i20000000000000000000000
χ434-444-4-4-440000000000−2i22i2002i2−2i20000000000000000000000
χ444-44-444-4-44-4000-440000000000000000000000000000000
χ454-44-444-4-4-440004-40000000000000000000000000000000
χ464-4-4-4-44440044-400-4000000000000000000000000000000

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