Finite Group Databasebeta

← Group #8347

Character table — Group #8347

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222444444444444448888888888888816161616
order1222222222444444444444444444224444444444448888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11-1-11-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11111
χ511111111111111-1-111-1-1111111111-11-1-11-1-11-1-1-1-1-111-1-1
χ611111111111111-1-111-1-111111111-11-11-1-11-1-11-1-1-1-1-1-111
χ711111111111111-1-111-1-1-1-1-1-1-1-1-1-11-11-1-11-1-11-11111-1-111
χ811111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1-11111111-1-1
χ9111111-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i11-1-1-1111-1-1ii−i−ii−ii−i
χ10111111-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i-1-111-1-1-1111ii−i−i−ii−ii
χ11111111-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii11-1-1-1111-1-1−i−iii−ii−ii
χ12111111-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii-1-111-1-1-1111−i−iiii−ii−i
χ13111111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i1-1-1111-1-1-11−i−iiii−i−ii
χ14111111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-111-11-11-11-1−i−iii−iii−i
χ15111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii1-1-1111-1-1-11ii−i−i−iii−i
χ16111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-111-11-11-11-1ii−i−ii−i−ii
χ172222222222-2-2-2-222-2-2-2-2000000000000200-20000000000
χ182222222222-2-2-2-2-2-2-2-222000000000000-20020000000000
χ19222222-2-2-2-2222222-2-222000000000000-200-20000000000
χ20222222-2-2-2-22222-2-2-2-2-2-200000000000020020000000000
χ212222-2-22-22-222-2-2002-20000000000020-200-200200000000
χ222222-2-22-22-222-2-2002-200000000000-20200200-200000000
χ232222-2-22-22-2-2-22200-22000000000020-200-2002000000000
χ242222-2-22-22-2-2-22200-220000000000-20200200-2000000000
χ252222-2-2-22-2222-2-200-22000000000020200-200-2000000000
χ262222-2-2-22-2222-2-200-220000000000-20-2002002000000000
χ272222-2-2-22-22-2-222002-20000000000020200-200-200000000
χ282222-2-2-22-22-2-222002-200000000000-20-200200200000000
χ292-22-22-200002i−2i2i−2i2-2002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000001+i−1−i1−i−1+i0000
χ302-22-22-200002i−2i2i−2i2-2002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000−1−i1+i−1+i1−i0000
χ312-22-22-200002i−2i2i−2i-2200−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000−1−i1+i−1+i1−i0000
χ322-22-22-200002i−2i2i−2i-2200−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000001+i−1−i1−i−1+i0000
χ332-22-22-20000−2i2i−2i2i2-200−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000001−i−1+i1+i−1−i0000
χ342-22-22-20000−2i2i−2i2i2-200−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000−1+i1−i−1−i1+i0000
χ352-22-22-20000−2i2i−2i2i-22002i−2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000−1+i1−i−1−i1+i0000
χ362-22-22-20000−2i2i−2i2i-22002i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000001−i−1+i1+i−1−i0000
χ3744-4-400040-400000000002-22-22-22-2000000000000000000
χ3844-4-400040-40000000000-22-22-22-22000000000000000000
χ3944-4-4000-40400000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ4044-4-4000-4040000000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ414-44-4-4400004i−4i−4i4i00000000000000000000000000000000
χ424-44-4-440000−4i4i4i−4i00000000000000000000000000000000
χ434-4-440040-4000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ444-4-440040-400000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ454-4-4400-404000000000002-2-222-2-22000000000000000000
χ464-4-4400-40400000000000-222-2-222-2000000000000000000

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