Finite Group Databasebeta

← Group #8763

Character table — Group #8763

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222222222444444444444424444444888888884444
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-11-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111-1-11-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ91111-1-111-1-111111-1-11111-1-1-11-1-111-1-1ii−i−iii−i−ii−ii−i
χ101111-1-111-1-111111-1-11111-1-1-11-1-111-1-1−i−iii−i−iii−ii−ii
χ111111-1-111-1-111111-1-1-1-1-1-1-1-1-1111-1-111ii−i−iii−i−i−ii−ii
χ121111-1-111-1-111111-1-1-1-1-1-1-1-1-1111-1-111−i−iii−i−iiii−ii−i
χ131111-1-111-1-111-1-11111111-1-11-1-1-1-1-111ii−i−i−i−iiii−i−ii
χ141111-1-111-1-111-1-11111111-1-11-1-1-1-1-111−i−iiiii−i−i−iii−i
χ151111-1-111-1-111-1-1111-1-1-1-1-1-11-11111-1-1ii−i−i−i−iii−iii−i
χ161111-1-111-1-111-1-1111-1-1-1-1-1-11-11111-1-1−i−iiiii−i−ii−i−ii
χ172222222222-2-222-2220000-2-2-2-2000000000000000000
χ182222222222-2-2-2-2-2-2-20000-2-222000000000000000000
χ1922222-2-2-22-22200-20000002-200002i−2i2i−2i000000000000
χ2022222-2-2-22-22200-20000002-20000−2i2i−2i2i000000000000
χ2122222-2-2-22-2-2-2002002i2i−2i−2i-22002i−2i0000000000000000
χ2222222-2-2-22-2-2-200200−2i−2i2i2i-2200−2i2i0000000000000000
χ232222-22-2-2-222200-2000000-2200002i−2i−2i2i000000000000
χ242222-22-2-2-222200-2000000-220000−2i2i2i−2i000000000000
χ252222-22-2-2-22-2-2002002i2i−2i−2i2-200−2i2i0000000000000000
χ262222-22-2-2-22-2-200200−2i−2i2i2i2-2002i−2i0000000000000000
χ272222-2-222-2-2-2-222-2-2-20000222-2000000000000000000
χ282222-2-222-2-2-2-2-2-2-222000022-22000000000000000000
χ2922-2-22-22-2-22002i−2i02i−2i00000000000000i2−i2i2−i22−22−20000
χ3022-2-22-22-2-22002i−2i02i−2i00000000000000−i2i2−i2i2−22−220000
χ3122-2-22-22-2-2200−2i2i0−2i2i00000000000000i2−i2i2−i2−22−220000
χ3222-2-22-22-2-2200−2i2i0−2i2i00000000000000−i2i2−i2i22−22−20000
χ3322-2-2-222-22-2002i−2i0−2i2i000000000000002−2−22−i2i2i2−i20000
χ3422-2-2-222-22-2002i−2i0−2i2i00000000000000−222−2i2−i2−i2i20000
χ3522-2-2-222-22-200−2i2i02i−2i000000000000002−2−22i2−i2−i2i20000
χ3622-2-2-222-22-200−2i2i02i−2i00000000000000−222−2−i2i2i2−i20000
χ3744-4-444-44-4-4000000000000000000000000000000000
χ3844-4-4-4-4-4444000000000000000000000000000000000
χ394-44-40000004i−4i000002+2i−2−2i2−2i−2+2i0000000000000000000000
χ404-44-40000004i−4i00000−2−2i2+2i−2+2i2−2i0000000000000000000000
χ414-44-4000000−4i4i000002−2i−2+2i2+2i−2−2i0000000000000000000000
χ424-44-4000000−4i4i00000−2+2i2−2i−2−2i2+2i0000000000000000000000
χ438-8-88000000000000000000000000000000000000000

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