Finite Group Databasebeta

← Group #72285566

Character table — Group #72285566

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1124448888161616161616161616161616161616323232323232323232323232323232646464646464646464646464128128128128
order12222222222222222244444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-1111111111-1-11111111111111-1-1-1-11-1-11111-1-1-1-1
χ41111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111
χ511111111111-1-111-1-111111111-11-11111111111-1-1-11-11-1-11-1-1-1-1-111-1-1
χ611111111111-1-111-1-111111111-11-111-1-1-1-1-1-1-1-1-1-1-11-11-1-11-11111-1-111
χ711111111111-1-1-1-11111111111-1-111111111111-1-1-1-11-11-1-11-1-1-1-1-1-111
χ811111111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111111-1-1
χ91111111-1-111111111-11-1-1-1-1-1-111111iiii−i−i−i−i-1-1-1-1-1111-1-1ii−i−ii−ii−i
χ101111111-1-111111111-11-1-1-1-1-1-111111−i−i−i−iiiii-1-1-1-1-1111-1-1−i−iii−ii−ii
χ111111111-1-11111-1-1-1-1-11-1-1-1-1-1-11-1-111iiii−i−i−i−i-1-1-111-1-1111ii−i−i−ii−ii
χ121111111-1-11111-1-1-1-1-11-1-1-1-1-1-11-1-111−i−i−i−iiiii-1-1-111-1-1111−i−iiii−ii−i
χ131111111-1-111-1-111-1-1-11-1-1-1-1-1-1-11-111iiii−i−i−i−i111-111-1-1-11−i−iiii−i−ii
χ141111111-1-111-1-111-1-1-11-1-1-1-1-1-1-11-111−i−i−i−iiiii111-111-1-1-11ii−i−i−iii−i
χ151111111-1-111-1-1-1-111-11-1-1-1-1-1-1-1-1111iiii−i−i−i−i1111-1-11-11-1−i−iii−iii−i
χ161111111-1-111-1-1-1-111-11-1-1-1-1-1-1-1-1111−i−i−i−iiiii1111-1-11-11-1ii−i−ii−i−ii
χ17222222222222200002222-2-2-2-2200-2-200000000-2-220000-20000000000
χ1822222222222-2-200002222-2-2-2-2-200-2-20000000022-2000020000000000
χ192222222222-2000022-2-22-222-2-20022-200000000000020-200-200000000
χ202222222222-20000-2-2-2-22-222-2-200-22-2000000000000-20200200000000
χ212222222222-2002200-2-22-2-2-222020-220000000000020-200-2000000000
χ222222222222-200-2-200-2-22-2-2-2220-20-2200000000000-202002000000000
χ232222222-2-222220000-22-2-22222200-2-20000000022-20000-20000000000
χ242222222-2-222-2-20000-22-2-22222-200-2-200000000-2-22000020000000000
χ252222222-2-22-20000222-2-22-2-2220022-2000000000000-20-200200000000
χ262222222-2-22-20000-2-22-2-22-2-22200-22-200000000000020200-200000000
χ272222222-2-22-20022002-2-2222-2-2020-2200000000000-20-2002000000000
χ282222222-2-22-200-2-2002-2-2222-2-20-20-220000000000020200-2000000000
χ292222-2-2200-222200000-2002i−2i2i−2i-200001+i1+i−1−i−1−i1−i1−i−1+i−1+i2i−2i000000001+i−1−i1−i−1+i0000
χ302222-2-2200-222200000-2002i−2i2i−2i-20000−1−i−1−i1+i1+i−1+i−1+i1−i1−i2i−2i00000000−1−i1+i−1+i1−i0000
χ312222-2-2200-222200000-200−2i2i−2i2i-200001−i1−i−1+i−1+i1+i1+i−1−i−1−i−2i2i000000001−i−1+i1+i−1−i0000
χ322222-2-2200-222200000-200−2i2i−2i2i-20000−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2i2i00000000−1+i1−i−1−i1+i0000
χ332222-2-2200-22-2-200000-2002i−2i2i−2i200001+i1+i−1−i−1−i1−i1−i−1+i−1+i−2i2i00000000−1−i1+i−1+i1−i0000
χ342222-2-2200-22-2-200000-2002i−2i2i−2i20000−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2i2i000000001+i−1−i1−i−1+i0000
χ352222-2-2200-22-2-200000-200−2i2i−2i2i200001−i1−i−1+i−1+i1+i1+i−1−i−1−i2i−2i00000000−1+i1−i−1−i1+i0000
χ362222-2-2200-22-2-200000-200−2i2i−2i2i20000−1+i−1+i1−i1−i−1−i−1−i1+i1+i2i−2i000000001−i−1+i1+i−1−i0000
χ37444444-444-4000000000-400000000002-22-22-22-2000000000000000000
χ38444444-444-4000000000-40000000000-22-22-22-22000000000000000000
χ39444444-4-4-4-4000000000400000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ40444444-4-4-4-400000000040000000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ414444-4-4400-4-400000004004i−4i−4i4i0000000000000000000000000000000
χ424444-4-4400-4-40000000400−4i4i4i−4i0000000000000000000000000000000
χ434444-4-4-40040000000400-40000000002-2-222-2-22000000000000000000
χ444444-4-4-40040000000400-4000000000-222-2-222-2000000000000000000
χ454444-4-4-40040000000-40040000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ464444-4-4-40040000000-4004000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ47888-88-8000000000440000000000-40000000000000000000000000000
χ48888-88-8000000000-4-4000000000040000000000000000000000000000
χ49888-8-8800000004400000000000-400000000000000000000000000000
χ50888-8-880000000-4-400000000000400000000000000000000000000000
χ511616-1600008-800000000000000000000000000000000000000000000000
χ521616-160000-8800000000000000000000000000000000000000000000000
χ5316-160000000004-44-44-4000000000000000000000000000000000000000
χ5416-160000000004-4-44-44000000000000000000000000000000000000000
χ5516-16000000000-444-4-44000000000000000000000000000000000000000
χ5616-16000000000-44-444-4000000000000000000000000000000000000000

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