Finite Group Databasebeta

← Group #9575

Character table — Group #9575

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
χ91-111-1-1-1111-1-1-111-11-1iiii−i−i−i−iii−i−i11-1-111-1-1ii−i−ii−i1-1
χ101-111-1-1-1111-1-1-111-11-1iiii−i−i−i−iii−i−i11-1-1-1-111−i−iii−ii-11
χ111-111-1-1-1111-1-1-111-11-1iiii−i−i−i−i−i−iii-1-11111-1-1ii−i−i−ii-11
χ121-111-1-1-1111-1-1-111-11-1iiii−i−i−i−i−i−iii-1-111-1-111−i−iiii−i1-1
χ131-111-1-1-1111-1-1-111-11-1−i−i−i−iiiiiii−i−i-1-11111-1-1−i−iiii−i-11
χ141-111-1-1-1111-1-1-111-11-1−i−i−i−iiiiiii−i−i-1-111-1-111ii−i−i−ii1-1
χ151-111-1-1-1111-1-1-111-11-1−i−i−i−iiiii−i−iii11-1-111-1-1−i−iii−ii1-1
χ161-111-1-1-1111-1-1-111-11-1−i−i−i−iiiii−i−iii11-1-1-1-111ii−i−ii−i-11
χ17222222222-22-2-22-22-2-2000000002-22-20000000000000000
χ18222222222-22-2-22-22-2-200000000-22-220000000000000000
χ1922222222-22-222-22-2-2-222-2-222-2-200000000000000000000
χ2022222222-22-222-22-2-2-2-2-222-2-22200000000000000000000
χ2122222222-2-2-2-2-2-2-2-2220000000000002i−2i2i−2i000000000000
χ2222222222-2-2-2-2-2-2-2-222000000000000−2i2i−2i2i000000000000
χ23222-2-2-22-20-202-202000002i−2i002i−2i00000000i2−i2i2−i22−22−20000
χ24222-2-2-22-20-202-202000002i−2i002i−2i00000000−i2i2−i2i2−22−220000
χ25222-2-2-22-20-202-20200000−2i2i00−2i2i00000000i2−i2i2−i2−22−220000
χ26222-2-2-22-20-202-20200000−2i2i00−2i2i00000000−i2i2−i2i22−22−20000
χ272-222-2-2-222-2-2222-2-2-22000000002i−2i−2i2i0000000000000000
χ282-222-2-2-222-2-2222-2-2-2200000000−2i2i2i−2i0000000000000000
χ292-222-2-2-22-222-2-2-222-222i2i−2i−2i−2i−2i2i2i00000000000000000000
χ302-222-2-2-22-222-2-2-222-22−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ312-222-2-2-22-2-2222-2-222-20000000000002i−2i−2i2i000000000000
χ322-222-2-2-22-2-2222-2-222-2000000000000−2i2i2i−2i000000000000
χ332-22-222-2-20-20-2202000002-200-2200000000i2−i2−i2i2−i2i2i2−i20000
χ342-22-222-2-20-20-2202000002-200-2200000000−i2i2i2−i2i2−i2−i2i20000
χ352-22-222-2-20-20-220200000-22002-200000000i2−i2−i2i2i2−i2−i2i20000
χ362-22-222-2-20-20-220200000-22002-200000000−i2i2i2−i2−i2i2i2−i20000
χ37444-4-4-44-4040-440-40000000000000000000000000000000
χ3844-444-4-4-440-400-404000000000000000000000000000000
χ3944-444-4-4-4-4040040-4000000000000000000000000000000
χ4044-4-4-44-4400000000002i2−2i2002i2−2i20000000000000000000000
χ4144-4-4-44-440000000000−2i22i200−2i22i20000000000000000000000
χ424-44-444-4-40404-40-40000000000000000000000000000000
χ434-4-44-444-440400-40-4000000000000000000000000000000
χ444-4-44-444-4-40-400404000000000000000000000000000000
χ454-4-4-44-444000000000022−2200−22220000000000000000000000
χ464-4-4-44-4440000000000−22220022−220000000000000000000000

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