Finite Group Databasebeta

← Group #10604422

Character table — Group #10604422

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1111222244444444444445555888888888888101010102020202020202020202020202040404040
order12224444224445101010202020204444101010102020202020202020224444444444444448888
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ511111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-111111-1-1-1-111111111-1-1-1-1
χ611111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ811111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ91111-1-11111-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-1-111-1-111-1-111-1-11-11-1
χ101111-1-11111-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-1-111-1-1-1-111-1-111-11-11
χ111111-1-11111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-111ii−i−i−i−iiii−i−ii
χ121111-1-11111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-111−i−iiiii−i−i−iii−i
χ131111-1-111-1-111-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-11111-1-111-1-1-11-11
χ141111-1-111-1-111-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-111-1-111-1-1111-11-1
χ151111-1-111-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111-1-1ii−i−i−i−iii−iii−i
χ161111-1-111-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111-1-1−i−iiiii−i−ii−i−ii
χ17222222-2-20000-22222222222220000-2-2-2-20000-2-222-20000000000000000
χ18222222-2-20000-222222222-2-2-2-20000-2-2-2-2000022-2-220000000000000000
χ192222-2-2-2-2000022222-2-2-2-222220000-2-2220000-2-2-2-220000000000000000
χ202222-2-2-2-2000022222-2-2-2-2-2-2-2-20000-2-22200002222-20000000000000000
χ212-22-2002-2002i−2i022-2-2000022-2-200002-2002i2i−2i−2i-22000002i−2i000000000000
χ222-22-2002-2002i−2i022-2-20000-2-22200002-2002i2i−2i−2i2-200000−2i2i000000000000
χ232-22-2002-200−2i2i022-2-2000022-2-200002-200−2i−2i2i2i-2200000−2i2i000000000000
χ242-22-2002-200−2i2i022-2-20000-2-22200002-200−2i−2i2i2i2-2000002i−2i000000000000
χ252-22-200-222-200022-2-2000022-2-222-2-2-220000002-20002-200000000000000
χ262-22-200-222-200022-2-20000-2-22222-2-2-22000000-22000-2200000000000000
χ272-22-200-22-2200022-2-2000022-2-2-2-222-220000002-2000-2200000000000000
χ282-22-200-22-2200022-2-20000-2-222-2-222-22000000-220002-200000000000000
χ292-2-222i−2i00000002-22-22i2i−2i−2i2i−2i2i−2i000000000000002-2000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000
χ302-2-222i−2i00000002-22-22i2i−2i−2i2i−2i2i−2i000000000000002-200000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000
χ312-2-222i−2i00000002-22-22i2i−2i−2i−2i2i−2i2i00000000000000-22000001−i−1+i−1−i1+i1+i−1−i−1+i1−i0000
χ322-2-222i−2i00000002-22-22i2i−2i−2i−2i2i−2i2i00000000000000-2200000−1+i1−i1+i−1−i−1−i1+i1−i−1+i0000
χ332-2-22−2i2i00000002-22-2−2i−2i2i2i2i−2i2i−2i00000000000000-22000001+i−1−i−1+i1−i1−i−1+i−1−i1+i0000
χ342-2-22−2i2i00000002-22-2−2i−2i2i2i2i−2i2i−2i00000000000000-2200000−1−i1+i1−i−1+i−1+i1−i1+i−1−i0000
χ352-2-22−2i2i00000002-22-2−2i−2i2i2i−2i2i−2i2i000000000000002-2000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000
χ362-2-22−2i2i00000002-22-2−2i−2i2i2i−2i2i−2i2i000000000000002-200000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000
χ374444444444444-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ3844444444-4-4-4-44-1-1-1-1-1-1-1-100001111-1-1-1-11111000000000000000000000
χ39444444-4-40000-4-1-1-1-1-1-1-1-100005−55−511115−55−5000000000000000000000
χ40444444-4-40000-4-1-1-1-1-1-1-1-10000−55−551111−55−55000000000000000000000
χ414444-4-44444-4-4-4-1-1-1-111110000-1-1-1-1-1-1111111000000000000000000000
χ424444-4-444-4-444-4-1-1-1-1111100001111-1-111-1-1-1-1000000000000000000000
χ434444-4-4-4-400004-1-1-1-1111100005−55−511-1-1−55−55000000000000000000000
χ444444-4-4-4-400004-1-1-1-111110000−55−5511-1-15−55−5000000000000000000000
χ4544-4-40000000004-4-4400004i−4i−4i4i000000000000000000000000000000000
χ4644-4-40000000004-4-440000−4i4i4i−4i000000000000000000000000000000000
χ474-44-4004-4004i−4i0-1-111i5−i5i5−i500005−5−55-11i5−i5−i−iii000000000000000000000
χ484-44-4004-4004i−4i0-1-111−i5i5−i5i50000−555−5-11−i5i5−i−iii000000000000000000000
χ494-44-4004-400−4i4i0-1-111i5−i5i5−i50000−555−5-11i5−i5ii−i−i000000000000000000000
χ504-44-4004-400−4i4i0-1-111−i5i5−i5i500005−5−55-11−i5i5ii−i−i000000000000000000000
χ514-44-400-444-4000-1-111i5−i5i5−i50000-1-1111-1−i5i5i5−i5−i5i5000000000000000000000
χ524-44-400-444-4000-1-111−i5i5−i5i50000-1-1111-1i5−i5−i5i5i5−i5000000000000000000000
χ534-44-400-44-44000-1-111i5−i5i5−i5000011-1-11-1−i5i5−i5i5i5−i5000000000000000000000
χ544-44-400-44-44000-1-111−i5i5−i5i5000011-1-11-1i5−i5i5−i5−i5i5000000000000000000000
χ5588-8-8000000000-222-225−25−25250000000000000000000000000000000000000
χ5688-8-8000000000-222-2−252525−250000000000000000000000000000000000000
χ578-8-888i−8i0000000-22-22−2i−2i2i2i0000000000000000000000000000000000000
χ588-8-88−8i8i0000000-22-222i2i−2i−2i0000000000000000000000000000000000000

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