Finite Group Databasebeta

← Group #13020735

Character table — Group #13020735

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111122224444455558888888810101010161616161616161616162020202020202020203232404040404040404040404040808080
order12224444451010102222888820202020444422040404040404040404888888881010444488888888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1
χ31111111111111111111-1-111111111-111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1
χ41111111111111111111-1-111111111-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111
χ511111111111111111-1-11111111111-11-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111-1-1-1
χ611111111111111111-1-11111111111-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111
χ711111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ811111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1
χ91111111111111-1-1-1-111111111-1-1-1-11111111111-1iiii−i−i−i−i11ii−i−i-1-1-1-1ii−i−i-1i−i
χ101111111111111-1-1-1-111111111-1-1-1-11111111111-1−i−i−i−iiiii11−i−iii-1-1-1-1−i−iii-1−ii
χ111111111111111-1-1-1-111-1-11111-1-1-1-1-111111-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i-1-111−i−iii1−ii
χ121111111111111-1-1-1-111-1-11111-1-1-1-1-111111-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii-1-111ii−i−i1i−i
χ131111111111111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1iiii−i−i−i−i-1-1−i−iii11-1-1ii−i−i1−ii
χ141111111111111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1−i−i−i−iiiii-1-1ii−i−i11-1-1−i−iii1i−i
χ151111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii1111−i−iii-1i−i
χ161111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i1111ii−i−i-1−ii
χ1722222-22-2-22222222200002-22-2-222-20-200000000-222-2-222-2-200000000000000000
χ1822222-22-2-22222222200002-22-2-222-20-200000000-2-2-222-2-22200000000000000000
χ1922222-22-2-22222-2-2-2-200002-22-22-2-220-20000000022i2i−2i−2i−2i−2i2i2i00000000000000000
χ2022222-22-2-22222-2-2-2-200002-22-22-2-220-2000000002−2i−2i2i2i2i2i−2i−2i00000000000000000
χ212222-22-22-2222222220000-22-222-2-220-200000000-200000000002-22-200000000000
χ222222-22-22-2222222220000-22-222-2-220-200000000-20000000000-22-2200000000000
χ232222-22-22-22222-2-2-2-20000-22-22-222-20-200000000200000000002i−2i−2i2i00000000000
χ242222-22-22-22222-2-2-2-20000-22-22-222-20-20000000020000000000−2i2i2i−2i00000000000
χ252222-2-2-2-22222222222i−2i00-2-2-2-2-2-2-2-2022i2i−2i−2i00002000000000000002i−2i000000000
χ262222-2-2-2-2222222222−2i2i00-2-2-2-2-2-2-2-202−2i−2i2i2i0000200000000000000−2i2i000000000
χ272222-2-2-2-222222-2-2-2-22i−2i00-2-2-2-22222022i2i−2i−2i0000-200000000000000−2i2i000000000
χ282222-2-2-2-222222-2-2-2-2−2i2i00-2-2-2-2222202−2i−2i2i2i0000-2000000000000002i−2i000000000
χ2922-2-220-20022-2-22-2-2200i2−i220-2002-20000000i2i2−i2−i20002-2002-200000000i2−i2i2−i2i2−i2000
χ3022-2-220-20022-2-22-2-2200i2−i220-2002-20000000i2i2−i2−i2000-2200-2200000000i2−i2−i2i2−i2i2000
χ3122-2-220-20022-2-22-2-2200−i2i220-2002-20000000−i2−i2i2i20002-2002-200000000−i2i2−i2i2−i2i2000
χ3222-2-220-20022-2-22-2-2200−i2i220-2002-20000000−i2−i2i2i2000-2200-2200000000−i2i2i2−i2i2−i2000
χ3322-2-220-20022-2-2-222-200i2−i220-200-220000000i2i2−i2−i20002i−2i00−2i2i00000000−i2i2−222−2000
χ3422-2-220-20022-2-2-222-200i2−i220-200-220000000i2i2−i2−i2000−2i2i002i−2i00000000−i2i22−2−22000
χ3522-2-220-20022-2-2-222-200−i2i220-200-220000000−i2−i2i2i20002i−2i00−2i2i00000000i2−i22−2−22000
χ3622-2-220-20022-2-2-222-200−i2i220-200-220000000−i2−i2i2i2000−2i2i002i−2i00000000i2−i2−222−2000
χ37444444444-1-1-1-100004444-1-1-1-100004-1-1-1-1-1-1-1-1-1000000000-1-1000000000000000
χ38444444444-1-1-1-1000044-4-4-1-1-1-10000-4-1-1-1-1-1111100000000011000000000000000
χ39444444444-1-1-1-10000-4-444-1-1-1-10000-4-11111-1-1-1-100000000011000000000000000
χ40444444444-1-1-1-10000-4-4-4-4-1-1-1-100004-111111111000000000-1-1000000000000000
χ414444-4-4-4-44-1-1-1-100004i−4i00111100000-1−i−iiii5−i5i5−i50000000005−5000000000000000
χ424444-4-4-4-44-1-1-1-100004i−4i00111100000-1−i−iii−i5i5−i5i5000000000−55000000000000000
χ434444-4-4-4-44-1-1-1-10000−4i4i00111100000-1ii−i−ii5−i5i5−i5000000000−55000000000000000
χ444444-4-4-4-44-1-1-1-10000−4i4i00111100000-1ii−i−i−i5i5−i5i50000000005−5000000000000000
χ4544-4-4-4040044-4-44-4-440000-40400-440000000000000000000000000000000000000
χ4644-4-4-4040044-4-4-444-40000-404004-40000000000000000000000000000000000000
χ474-44-4000004-44-444-4-4000000000000000000000002i2−2i2002i2−2i20000000000000000000
χ484-44-4000004-44-444-4-400000000000000000000000−2i22i200−2i22i20000000000000000000
χ494-44-4000004-44-4-4-4440000000000000000000000022−2200−22220000000000000000000
χ504-44-4000004-44-4-4-44400000000000000000000000−22220022−220000000000000000000
χ514-4-44040-404-4-444-44-40000040-4400-4000000000000000000000000000000000000
χ524-4-44040-404-4-44-44-440000040-4-4004000000000000000000000000000000000000
χ534-4-440-40404-4-444-44-400000-404-4004000000000000000000000000000000000000
χ544-4-440-40404-4-44-44-4400000-404400-4000000000000000000000000000000000000
χ5588888-88-8-8-2-2-2-200000000-22-220000020000000000000000000000000000000000
χ568888-88-88-8-2-2-2-2000000002-22-20000020000000000000000000000000000000000
χ5788-8-880-800-2-2220000004i2−4i2-20200000000000−i2−i2i2i200000000000000000000000000
χ5888-8-880-800-2-222000000−4i24i2-20200000000000i2i2−i2−i200000000000000000000000000
χ5988-8-8-80800-2-2220000000020-20000000000010−10−101000000000000000000000000000
χ6088-8-8-80800-2-2220000000020-200000000000−101010−1000000000000000000000000000
χ618-8-88080-80-222-2000000000-202000000i10−i10i10−i10000000000000000000000000000000
χ628-8-88080-80-222-2000000000-202000000−i10i10−i10i10000000000000000000000000000000
χ638-8-880-8080-222-200000000020-200000010−10−1010000000000000000000000000000000
χ648-8-880-8080-222-200000000020-2000000−101010−10000000000000000000000000000000
χ6516-1616-1600000-44-440000000000000000000000000000000000000000000000000000

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