Finite Group Databasebeta

← Group #13027140

Character table — Group #13027140

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1122222444558888888881010101010101010101616161616162020202020202032323232404040404040404040404040808080
order1224488581022881016162020404024488888844080808080444488820204040444488161616161616444
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-11-1-1
χ3111111111111111-1-11111111111111-11-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1
χ4111111111111111-1-11111111-1-1-1-111-11-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-11111-111
χ5111111111111-1-11111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ6111111111111-1-11111111111-1-1-1-111-111111-1-1-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-111
χ7111111111111-1-11-1-1111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ8111111111111-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-111111-1-1
χ91111111111-1-1111111111-1-1-1ii−i−i-1-1111111ii−i−i-1i−i1111i−ii−i-1-1-1-1ii−i−i-1i−i
χ101111111111-1-1111111111-1-1-1−i−iii-1-1111111−i−iii-1−ii1111−ii−ii-1-1-1-1−i−iii-1−ii
χ111111111111-1-1111-1-11111-1-1-1ii−i−i-1-1-11-1-1-1-1ii−i−i-1i−i-1-111i−ii−i-1-111−i−iii1−ii
χ121111111111-1-1111-1-11111-1-1-1−i−iii-1-1-11-1-1-1-1−i−iii-1−ii-1-111−ii−ii-1-111ii−i−i1i−i
χ131111111111-1-1-1-11111111-1-1-1ii−i−i-1-1-111111ii−i−i-1i−i-1-1-1-1−ii−ii11-1-1ii−i−i1−ii
χ141111111111-1-1-1-11111111-1-1-1−i−iii-1-1-111111−i−iii-1−ii-1-1-1-1i−ii−i11-1-1−i−iii1i−i
χ151111111111-1-1-1-11-1-11111-1-1-1ii−i−i-1-111-1-1-1-1ii−i−i-1i−i11-1-1−ii−ii1111−i−iii-1i−i
χ161111111111-1-1-1-11-1-11111-1-1-1−i−iii-1-111-1-1-1-1−i−iii-1−ii11-1-1i−ii−i1111ii−i−i-1−ii
χ1722222-2-22-22220020022-2-22222222-2-20-20000-2-2-2-2-2220000000000000000000
χ1822222-2-22-22220020022-2-2222-2-2-2-2-2-20-200002222-2-2-20000000000000000000
χ1922222-2-22-22-2-20020022-2-2-2-2-22i2i−2i−2i220-20000−2i−2i2i2i22i−2i0000000000000000000
χ2022222-2-22-22-2-20020022-2-2-2-2-2−2i−2i2i2i220-200002i2i−2i−2i2−2i2i0000000000000000000
χ2122-22-2222-222200-2002-222-22-20000220-200000000-200000022-2-200000000000
χ2222-22-2222-222200-2002-222-22-20000220-200000000-2000000-2-22200000000000
χ2322-22-2222-22-2-200-2002-2222-220000-2-20-20000000020000002i−2i−2i2i00000000000
χ2422-22-2222-22-2-200-2002-2222-220000-2-20-2000000002000000−2i2i2i−2i00000000000
χ2522-22-2-2-2222222i−2i-2002-2-2-2-22-20000-2-20200000000200002i−2i00002i−2i000000000
χ2622-22-2-2-222222−2i2i-2002-2-2-2-22-20000-2-2020000000020000−2i2i0000−2i2i000000000
χ2722-22-2-2-2222-2-22i−2i-2002-2-2-22-220000220200000000-200002i−2i0000−2i2i000000000
χ2822-22-2-2-2222-2-2−2i2i-2002-2-2-22-220000220200000000-20000−2i2i00002i−2i000000000
χ2922-2-22002022200-22−2-2200-2-222222000022−2−200000-2-200000000002−22−22−2000
χ3022-2-22002022200-22−2-2200-2-22-2-2-2-2000022−2−2000002200000000002−2−22−22000
χ3122-2-22002022200-2−22-2200-2-2222220000−2−22200000-2-20000000000−22−22−22000
χ3222-2-22002022200-2−22-2200-2-22-2-2-2-20000−2−22200000220000000000−222−22−2000
χ3322-2-2200202-2-200-22−2-220022-22i2i−2i−2i000022−2−200000−2i2i0000000000−22i2−i2−i2i2000
χ3422-2-2200202-2-200-22−2-220022-2−2i−2i2i2i000022−2−2000002i−2i0000000000−22−i2i2i2−i2000
χ3522-2-2200202-2-200-2−22-220022-22i2i−2i−2i0000−2−22200000−2i2i00000000002−2−i2i2i2−i2000
χ3622-2-2200202-2-200-2−22-220022-2−2i−2i2i2i0000−2−222000002i−2i00000000002−2i2−i2−i2i2000
χ374444444-14-10044-144-1-1-1-10000000004-1-1-1-1-10000000-1-1-1-1000000000000000
χ384444444-14-10044-1-4-4-1-1-1-1000000000-4-11111000000011-1-1000000000000000
χ394444444-14-100-4-4-144-1-1-1-1000000000-4-1-1-1-1-100000001111000000000000000
χ404444444-14-100-4-4-1-4-4-1-1-1-10000000004-111110000000-1-111000000000000000
χ41444-4-4004044400400-4-4004-4-400000000000000000000000000000000000000
χ42444-4-400404-4-400400-4-400-44400000000000000000000000000000000000000
χ4344-44-4-4-4-14-1004i−4i100-11110000000000-1i5−i5i5−i500000005−5−ii000000000000000
χ4444-44-4-4-4-14-1004i−4i100-11110000000000-1−i5i5−i5i50000000−55−ii000000000000000
χ4544-44-4-4-4-14-100−4i4i100-11110000000000-1i5−i5i5−i50000000−55i−i000000000000000
χ4644-44-4-4-4-14-100−4i4i100-11110000000000-1−i5i5−i5i500000005−5i−i000000000000000
χ474-400022−2240-44-4000000022−2200022−2222−2222−220000002-22-20000000000000000000000
χ484-400022−2240-44-4000000022−22000−2222−222222−22000000-22-220000000000000000000000
χ494-400022−2240-4-44000000022−220002i2−2i2−2i22i2−22220000002i−2i−2i2i0000000000000000000000
χ504-400022−2240-4-44000000022−22000−2i22i22i2−2i2−2222000000−2i2i2i−2i0000000000000000000000
χ514-4000−222240-44-40000000−222200022−2222−22−2222000000-22-220000000000000000000000
χ524-4000−222240-44-40000000−2222000−2222−2222−22220000002-22-20000000000000000000000
χ534-4000−222240-4-440000000−22220002i2−2i2−2i22i222−22000000−2i2i2i−2i0000000000000000000000
χ544-4000−222240-4-440000000−2222000−2i22i22i2−2i222−220000002i−2i−2i2i0000000000000000000000
χ5588888-8-8-2-8-20000-200-2-22200000000002000000000000000000000000000000
χ56888-8-800-20-20000-200220000000000000i10−i10−i10i1000000000000000000000000000
χ57888-8-800-20-20000-200220000000000000−i10i10i10−i1000000000000000000000000000
χ5888-88-888-2-8-20000200-22-2-200000000002000000000000000000000000000000
χ5988-8-8800-20-20000242−422-20000000000000−2−22200000000000000000000000000
χ6088-8-8800-20-200002−42422-2000000000000022−2−200000000000000000000000000
χ6116-1600082−82-404000000000−222200000000000000000000000000000000000000000
χ6216-16000−8282-40400000000022−2200000000000000000000000000000000000000000

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