Finite Group Databasebeta

← Group #13023949

Character table — Group #13023949

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111122444444448888888888810101010101010101616161616161616161616162020202020202020202040404040404040404080808080
order124424245881020208888810101020202044448888404040404040404040404040888888888822444888816161616
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1iiii−i−i−i−i-1-1-1-1-1ii−i−iii−i−i
χ41111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1−i−i−i−iiiii-1-1-1-1-1−i−iii−i−iii
χ511111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111-1-1-1-1
χ611111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111
χ711111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i1111-1ii−i−i−i−iii
χ811111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii1111-1−i−iiiii−i−i
χ9111111-1-111111111-1-1-11-1-1-1-11111111111111-1-1-1-111-1-1-1-1111111111-11-1-1-1-1-1-11-11-1
χ10111111-1-111111111-1-1-11-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-11-11
χ11111111-1-111111111-1-1-11-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−i-11-111−i−iiii−i−ii
χ12111111-1-111111111-1-1-11-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiii-11-111ii−i−i−iii−i
χ13111111-1-1111111-1-111-11-1-1-1-1111111111-1-1-1-1111111-1-1-1-111111111-11-11-1-1-1-1-1-11-11
χ14111111-1-1111111-1-111-11-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111-11-1
χ15111111-1-1111111-1-111-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111iiii−i−i−i−i1-11-11−i−iii−iii−i
χ16111111-1-1111111-1-111-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111−i−i−i−iiiii1-11-11ii−i−ii−i−ii
χ17222222222-2-22220000-22222222222-2-2-2-200000000-2-2-2-2-2-2000000000000200000000
χ18222222222-2-22220000-2222222-2-2-2-2222200000000-2-2-2-222000000000000-200000000
χ19222222-2-22-2-2222000022-2-2-2-222222-2-2-2-200000000-2-22222000000000000-200000000
χ20222222-2-22-2-2222000022-2-2-2-22-2-2-2-2222200000000-2-222-2-2000000000000200000000
χ2122-2-22-22-22002-2-200000222-2-2-200002i2i−2i−2i0000000000002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i000001+i−1−i1−i−1+i0000
χ2222-2-22-22-22002-2-200000222-2-2-200002i2i−2i−2i0000000000002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000−1−i1+i−1+i1−i0000
χ2322-2-22-22-22002-2-200000222-2-2-20000−2i−2i2i2i000000000000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i000001−i−1+i1+i−1−i0000
χ2422-2-22-22-22002-2-200000222-2-2-20000−2i−2i2i2i000000000000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000−1+i1−i−1−i1+i0000
χ2522-2-22-2-222002-2-2000002-2-222-200002i2i−2i−2i000000000000−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00000−1−i1+i−1+i1−i0000
χ2622-2-22-2-222002-2-2000002-2-222-200002i2i−2i−2i000000000000−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i000001+i−1−i1−i−1+i0000
χ2722-2-22-2-222002-2-2000002-2-222-20000−2i−2i2i2i0000000000002i−2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00000−1+i1−i−1−i1+i0000
χ2822-2-22-2-222002-2-2000002-2-222-20000−2i−2i2i2i0000000000002i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i000001−i−1+i1+i−1−i0000
χ2922-2-2-220022-22-2-2002i−2i0-2000022i2i−2i−2i2i−2i2i−2i00002i2i−2i−2i2-2000000000000020-2000000000
χ3022-2-2-220022-22-2-2002i−2i0-200002−2i−2i2i2i−2i2i−2i2i00002i2i−2i−2i2-20000000000000-202000000000
χ3122-2-2-220022-22-2-200−2i2i0-2000022i2i−2i−2i2i−2i2i−2i0000−2i−2i2i2i2-20000000000000-202000000000
χ3222-2-2-220022-22-2-200−2i2i0-200002−2i−2i2i2i−2i2i−2i2i0000−2i−2i2i2i2-2000000000000020-2000000000
χ3322-2-2-22002-222-2-22i−2i000-2000022i2i−2i−2i−2i2i−2i2i2i2i−2i−2i0000-2200000000000020-20000000000
χ3422-2-2-22002-222-2-22i−2i000-200002−2i−2i2i2i2i−2i2i−2i2i2i−2i−2i0000-22000000000000-2020000000000
χ3522-2-2-22002-222-2-2−2i2i000-2000022i2i−2i−2i−2i2i−2i2i−2i−2i2i2i0000-22000000000000-2020000000000
χ3622-2-2-22002-222-2-2−2i2i000-200002−2i−2i2i2i2i−2i2i−2i−2i−2i2i2i0000-2200000000000020-20000000000
χ3744444444-144-1-1-144444-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000
χ3844444444-144-1-1-1-4-4-4-44-1-1-1-1-1-10000000011111111-1-1-1-100000000000000000000000
χ3944444444-1-4-4-1-1-10000-4-1-1-1-1-1-1000000005−55−55−55−5111100000000000000000000000
χ4044444444-1-4-4-1-1-10000-4-1-1-1-1-1-100000000−55−55−55−55111100000000000000000000000
χ41444444-4-4-144-1-1-144-4-4-4-11111-100000000-1-1-1-11111-1-11100000000000000000000000
χ42444444-4-4-144-1-1-1-4-444-4-11111-1000000001111-1-1-1-1-1-11100000000000000000000000
χ43444444-4-4-1-4-4-1-1-100004-11111-1000000005−55−5−55−5511-1-100000000000000000000000
χ44444444-4-4-1-4-4-1-1-100004-11111-100000000−55−555−55−511-1-100000000000000000000000
χ454444-4-40040044400000-40000-400004-4-4400000000000000000000000000000000000
χ464444-4-40040044400000-40000-40000-444-400000000000000000000000000000000000
χ4744-4-4-4400-14-4-111004i−4i015−55−5-100000000i5−i5−i5i5−i−iii-115−500000000000000000000000
χ4844-4-4-4400-14-4-111004i−4i01−55−55-100000000−i5i5i5−i5−i−iii-11−5500000000000000000000000
χ4944-4-4-4400-14-4-11100−4i4i015−55−5-100000000−i5i5i5−i5ii−i−i-115−500000000000000000000000
χ5044-4-4-4400-14-4-11100−4i4i01−55−55-100000000i5−i5−i5i5ii−i−i-11−5500000000000000000000000
χ5144-4-4-4400-1-44-1114i−4i00015−55−5-100000000−i−iiii5−i5−i5i51-1−5500000000000000000000000
χ5244-4-4-4400-1-44-1114i−4i0001−55−55-100000000−i−iii−i5i5i5−i51-15−500000000000000000000000
χ5344-4-4-4400-1-44-111−4i4i00015−55−5-100000000ii−i−i−i5i5i5−i51-1−5500000000000000000000000
χ5444-4-4-4400-1-44-111−4i4i0001−55−55-100000000ii−i−ii5−i5−i5i51-15−500000000000000000000000
χ554-44i−4i0000400-44i−4i000000000002+2i−2−2i2−2i−2+2i0000000000000000002-22i−2i2-22i−2i0000000000000
χ564-44i−4i0000400-44i−4i000000000002+2i−2−2i2−2i−2+2i000000000000000000-22−2i2i-22−2i2i0000000000000
χ574-44i−4i0000400-44i−4i00000000000−2−2i2+2i−2+2i2−2i0000000000000000002i−2i-22−2i2i2-20000000000000
χ584-44i−4i0000400-44i−4i00000000000−2−2i2+2i−2+2i2−2i000000000000000000−2i2i2-22i−2i-220000000000000
χ594-4−4i4i0000400-4−4i4i000000000002−2i−2+2i2+2i−2−2i0000000000000000002-2−2i2i2-2−2i2i0000000000000
χ604-4−4i4i0000400-4−4i4i000000000002−2i−2+2i2+2i−2−2i000000000000000000-222i−2i-222i−2i0000000000000
χ614-4−4i4i0000400-4−4i4i00000000000−2+2i2−2i−2−2i2+2i0000000000000000002i−2i2-2−2i2i-220000000000000
χ624-4−4i4i0000400-4−4i4i00000000000−2+2i2−2i−2−2i2+2i000000000000000000−2i2i-222i−2i2-20000000000000
χ638888-8-800-200-2-2-200000225−25−252520000000000000000000000000000000000000000000
χ648888-8-800-200-2-2-2000002−252525−2520000000000000000000000000000000000000000000
χ6588-8-88-88-8-200-22200000-2-2-22220000000000000000000000000000000000000000000
χ6688-8-88-8-88-200-22200000-222-2-220000000000000000000000000000000000000000000
χ6716-1616i−16i0000-4004−4i4i000000000000000000000000000000000000000000000000000000
χ6816-16−16i16i0000-40044i−4i000000000000000000000000000000000000000000000000000000

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