Finite Group Databasebeta

← Group #9249

Character table — Group #9249

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222224444442244444888824888888888888884488
χ11111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111-1-11-1-1111111-1-1111111-1-1-1-11111-1-1-1-1
χ6111111111111-1-11-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111-1-11-1-1111-1-1-1-1ii−i−i1-1i−i11-1-1ii−i−iii−i−i1-1i−i
χ101111111-1-11-1-1111-1-1-1-1ii−i−i1-1i−i-1-111ii−i−i−i−iii-11−ii
χ111111111-1-11-1-1111-1-1-1-1−i−iii1-1−ii11-1-1−i−iii−i−iii1-1−ii
χ121111111-1-11-1-1111-1-1-1-1−i−iii1-1−ii-1-111−i−iiiii−i−i-11i−i
χ131111111-1-11-1-1-1-1111-1-1ii−i−i-11i−i11-1-1−i−iiiii−i−i-11−ii
χ141111111-1-11-1-1-1-1111-1-1ii−i−i-11i−i-1-111−i−iii−i−iii1-1i−i
χ151111111-1-11-1-1-1-1111-1-1−i−iii-11−ii11-1-1ii−i−i−i−iii-11i−i
χ161111111-1-11-1-1-1-1111-1-1−i−iii-11−ii-1-111ii−i−iii−i−i1-1−ii
χ17222222-222-22200-200-2-2222200-2-20000000000000000
χ18222222-222-22200-200-2-2-2-2-2-200220000000000000000
χ19222222-2-2-2-2-2-200-200222i2i−2i−2i00−2i2i0000000000000000
χ20222222-2-2-2-2-2-200-20022−2i−2i2i2i002i−2i0000000000000000
χ212222-2-222-222-222-2-2-2-220000-22000000000000000000
χ222222-2-222-222-2-2-2-222-2200002-2000000000000000000
χ232222-2-22-222-2222-2222-20000-2-2000000000000000000
χ242222-2-22-222-22-2-2-2-2-22-2000022000000000000000000
χ252222-2-2-22-2-22-2002002-20000000000002i−2i2i−2i00000000
χ262222-2-2-22-2-22-2002002-2000000000000−2i2i−2i2i00000000
χ272222-2-2-2-22-2-2200200-220000000000002-2-2200000000
χ282222-2-2-2-22-2-2200200-22000000000000-222-200000000
χ292-22-22-202-20-2200000002-22-20000i2−i2i2−i20000i2−i2i2−i20000
χ302-22-22-202-20-2200000002-22-20000−i2i2−i2i20000−i2i2−i2i20000
χ312-22-22-202-20-220000000-22-220000i2−i2i2−i20000−i2i2−i2i20000
χ322-22-22-202-20-220000000-22-220000−i2i2−i2i20000i2−i2i2−i20000
χ332-22-22-20-2202-200000002i−2i−2i2i0000i2−i2−i2i20000−222−20000
χ342-22-22-20-2202-200000002i−2i−2i2i0000−i2i2i2−i200002−2−220000
χ352-22-22-20-2202-20000000−2i2i2i−2i0000i2−i2−i2i200002−2−220000
χ362-22-22-20-2202-20000000−2i2i2i−2i0000−i2i2i2−i20000−222−20000
χ3744-4-400400-4004-400000000000000000000000000000
χ3844-4-400400-400-4400000000000000000000000000000
χ3944-4-400-4004000004i−4i00000000000000000000000000
χ4044-4-400-400400000−4i4i00000000000000000000000000
χ414-44-4-440440-4-40000000000000000000000000000000
χ424-44-4-440-4-40440000000000000000000000000000000
χ438-8-88000000000000000000000000000000000000000

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