Finite Group Databasebeta

← Group #9531

Character table — Group #9531

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size1111222244444444488888888888888161616161616
order1222444424444888824444444888888888888
χ11111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ81111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-1-1-11-111-1ii−i−i11-1-111-1-1i−iii−i−ii−i1-1i−i
χ101111-1-1-1-11-111-1ii−i−i11-1-1-1-111i−iii−i−i−ii-11−ii
χ111111-1-1-1-11-111-1ii−i−i-1-11111-1-1i−i−i−iiii−i-11−ii
χ121111-1-1-1-11-111-1ii−i−i-1-111-1-111i−i−i−iii−ii1-1i−i
χ131111-1-1-1-11-111-1−i−iii11-1-111-1-1−ii−i−iii−ii1-1−ii
χ141111-1-1-1-11-111-1−i−iii11-1-1-1-111−ii−i−iiii−i-11i−i
χ151111-1-1-1-11-111-1−i−iii-1-11111-1-1−iiii−i−i−ii-11i−i
χ161111-1-1-1-11-111-1−i−iii-1-111-1-111−iiii−i−ii−i1-1−ii
χ1722222222-2-22-2-2222200000000-2-20000000000
χ1822222222-2-22-2-2-2-2-2-200000000220000000000
χ19222222-2-222-2-2-2000000000000002i−2i2i−2i000000
χ20222222-2-222-2-2-200000000000000−2i2i−2i2i000000
χ21222222-2-2-2-2-22200002-22-20000000000000000
χ22222222-2-2-2-2-2220000-22-220000000000000000
χ232222-2-2222-2-2-22000000000000002-2-22000000
χ242222-2-2222-2-2-2200000000000000-222-2000000
χ252222-2-222-22-22-200002-2-220000000000000000
χ262222-2-222-22-22-20000-222-20000000000000000
χ272222-2-2-2-2-222-222i2i−2i−2i00000000−2i2i0000000000
χ282222-2-2-2-2-222-22−2i−2i2i2i000000002i−2i0000000000
χ294-44-4004i−4i00000000000002-22i−2i000000000000
χ304-44-4004i−4i0000000000000-22−2i2i000000000000
χ314-44-400−4i4i00000000000002-2−2i2i000000000000
χ324-44-400−4i4i0000000000000-222i−2i000000000000
χ334-4-444i−4i00000002+2i−2−2i2−2i−2+2i00000000000000000000
χ344-4-444i−4i0000000−2−2i2+2i−2+2i2−2i00000000000000000000
χ354-4-44−4i4i00000002−2i−2+2i2+2i−2−2i00000000000000000000
χ364-4-44−4i4i0000000−2+2i2−2i−2−2i2+2i00000000000000000000
χ3788-8-8000000000000000000000000000000000

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