Finite Group Databasebeta

← Group #9166

Character table — Group #9166

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222224444444444444888844444488888888884488
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
χ511111111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ811111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-111-1-11111-1-1-1ii−i−i-11ii−i−ii−iii−i−iii−i−i1-11-1
χ101111-1-1-1-111-1-11111-1-1-1ii−i−i-11−i−iiii−iii−i−i−i−iii-11-11
χ111111-1-1-1-111-1-11111-1-1-1−i−iii-11ii−i−i−ii−i−iiiii−i−i-11-11
χ121111-1-1-1-111-1-11111-1-1-1−i−iii-11−i−iii−ii−i−iii−i−iii1-11-1
χ131111-1-1-1-111-1-111-1-111-1ii−i−i1-1ii−i−ii−i−i−iii−i−iii1-1-11
χ141111-1-1-1-111-1-111-1-111-1ii−i−i1-1−i−iiii−i−i−iiiii−i−i-111-1
χ151111-1-1-1-111-1-111-1-111-1−i−iii1-1ii−i−i−iiii−i−i−i−iii-111-1
χ161111-1-1-1-111-1-111-1-111-1−i−iii1-1−i−iii−iiii−i−iii−i−i1-1-11
χ1722222222-2-2-2-22-20000-20000000000002i−2i2i−2i00000000
χ1822222222-2-2-2-22-20000-2000000000000−2i2i−2i2i00000000
χ19222222-2-222-2-2-2-222-2-2200002-2000000000000000000
χ20222222-2-222-2-2-2-2-2-22220000-22000000000000000000
χ21222222-2-2-2-222-220000-22222000000-2-2000000000000
χ22222222-2-2-2-222-220000-2-2-2-2-200000022000000000000
χ232222-2-2222222-2-22222-20000-2-2000000000000000000
χ242222-2-2222222-2-2-2-2-2-2-2000022000000000000000000
χ252222-2-222-2-2-2-2-22000022i2i−2i−2i000000−2i2i000000000000
χ262222-2-222-2-2-2-2-2200002−2i−2i2i2i0000002i−2i000000000000
χ272222-2-2-2-2-2-2222-2000020000000000002-2-2200000000
χ282222-2-2-2-2-2-2222-200002000000000000-222-200000000
χ292-2-22002i−2i2-22i−2i002i−2i2-200000001−i−1+i1+i−1−i0000001+i−1−i1−i−1+i0000
χ302-2-22002i−2i2-22i−2i002i−2i2-20000000−1+i1−i−1−i1+i000000−1−i1+i−1+i1−i0000
χ312-2-22002i−2i2-22i−2i00−2i2i-2200000001−i−1+i1+i−1−i000000−1−i1+i−1+i1−i0000
χ322-2-22002i−2i2-22i−2i00−2i2i-220000000−1+i1−i−1−i1+i0000001+i−1−i1−i−1+i0000
χ332-2-2200−2i2i2-2−2i2i002i−2i-2200000001+i−1−i1−i−1+i000000−1+i1−i−1−i1+i0000
χ342-2-2200−2i2i2-2−2i2i002i−2i-220000000−1−i1+i−1+i1−i0000001−i−1+i1+i−1−i0000
χ352-2-2200−2i2i2-2−2i2i00−2i2i2-200000001+i−1−i1−i−1+i0000001−i−1+i1+i−1−i0000
χ362-2-2200−2i2i2-2−2i2i00−2i2i2-20000000−1−i1+i−1+i1−i000000−1+i1−i−1−i1+i0000
χ3744-4-44-4000000000000022−2222−2200000000000000000000
χ3844-4-44-40000000000000−2222−222200000000000000000000
χ3944-4-4-4400000000000002i2−2i2−2i22i200000000000000000000
χ4044-4-4-440000000000000−2i22i22i2−2i200000000000000000000
χ414-4-44004i−4i-44−4i4i0000000000000000000000000000000
χ424-4-4400−4i4i-444i−4i0000000000000000000000000000000
χ438-88-8000000000000000000000000000000000000000

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