Finite Group Databasebeta

← Group #9167

Character table — Group #9167

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222224444442244444888844888888888888884488
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-11-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111-1-11-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111-1-11-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ8111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-11-1-11-1-1111-1-11-1ii−i−i1-1ii−i−ii−iii−i−iii−i−i1-11-1
χ101111-1-11-1-11-1-1111-1-11-1ii−i−i1-1−i−iiii−iii−i−i−i−iii-11-11
χ111111-1-11-1-11-1-1111-1-11-1−i−iii1-1ii−i−i−ii−i−iiiii−i−i-11-11
χ121111-1-11-1-11-1-1111-1-11-1−i−iii1-1−i−iii−ii−i−iii−i−iii1-11-1
χ131111-1-11-1-11-1-1-1-11111-1ii−i−i-11ii−i−ii−i−i−iii−i−iii1-1-11
χ141111-1-11-1-11-1-1-1-11111-1ii−i−i-11−i−iiii−i−i−iiiii−i−i-111-1
χ151111-1-11-1-11-1-1-1-11111-1−i−iii-11ii−i−i−iiii−i−i−i−iii-111-1
χ161111-1-11-1-11-1-1-1-11111-1−i−iii-11−i−iii−iiii−i−iii−i−i1-1-11
χ1722222222-22-2222-222-2-20000-2-2000000000000000000
χ1822222222-22-22-2-2-2-2-2-2-2000022000000000000000000
χ19222222-2-22-22-200-2002-20000000000002i−2i2i−2i00000000
χ20222222-2-22-22-200-2002-2000000000000−2i2i−2i2i00000000
χ21222222-2-2-2-2-2-200200-222i2i−2i−2i000000−2i2i000000000000
χ22222222-2-2-2-2-2-200200-22−2i−2i2i2i0000002i−2i000000000000
χ232222-2-22-2222-222-2-2-2-220000-22000000000000000000
χ242222-2-22-2222-2-2-2-222-2200002-2000000000000000000
χ252222-2-2-222-22200200-2-22222000000-2-2000000000000
χ262222-2-2-222-22200200-2-2-2-2-2-200000022000000000000
χ272222-2-2-22-2-2-2200-200220000000000002-2-2200000000
χ282222-2-2-22-2-2-2200-20022000000000000-222-200000000
χ2922-2-22-2220-20-22-202-2000000002−22−20000002−22−20000
χ3022-2-22-2220-20-22-202-200000000−22−22000000−22−220000
χ3122-2-22-2220-20-2-220-22000000002−22−2000000−22−220000
χ3222-2-22-2220-20-2-220-2200000000−22−220000002−22−20000
χ3322-2-2-222-20-2022-20-2200000000i2−i2−i2i2000000i2−i2−i2i20000
χ3422-2-2-222-20-2022-20-2200000000−i2i2i2−i2000000−i2i2i2−i20000
χ3522-2-2-222-20-202-2202-200000000i2−i2−i2i2000000−i2i2i2−i20000
χ3622-2-2-222-20-202-2202-200000000−i2i2i2−i2000000i2−i2−i2i20000
χ3744-4-44-4-4-404040000000000000000000000000000000
χ3844-4-4-44-44040-40000000000000000000000000000000
χ394-4-44000040-4000000002i2−2i22i2−2i200000000000000000000
χ404-4-44000040-400000000−2i22i2−2i22i200000000000000000000
χ414-4-440000-4040000000022−22−222200000000000000000000
χ424-4-440000-40400000000−222222−2200000000000000000000
χ438-88-8000000000000000000000000000000000000000

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