Finite Group Databasebeta

← Group #13020587

Character table — Group #13020587

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111144444448888888810101010161616161616161616162020202020203232404040404040404040408080808080
order12222445101010444410102020224482020202020404040402488882020244488888844888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111-1-1-1-11111111111-1-1ii−i−i11-1-1-1-1iii−i−i−ii−i-1i−i
χ41111111111111111111-1-1-1-11111111111-1-1−i−iii11-1-1-1-1−i−i−iiii−ii-1−ii
χ51111111111111-1-111111111-11-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1
χ61111111111111-1-111111111-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-111
χ71111111111111-1-11111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1ii−i−i11-1-111iii−i−i−i−ii1−ii
χ81111111111111-1-11111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1−i−iii11-1-111−i−i−iiiii−i1i−i
χ911111111111-1-11111111111-111111-1-1-1-1111111-1-1-1-1111-1-11-1-111-1-1-1
χ1011111111111-1-11111111111-111111-1-1-1-111-1-1-1-1-1-1-1-111-111-111-1-1-111
χ1111111111111-1-1111111-1-1-1-1-111111-1-1-1-1-1-1ii−i−i-1-111-1-1i−i−i−iiii−i1−ii
χ1211111111111-1-1111111-1-1-1-1-111111-1-1-1-1-1-1−i−iii-1-111-1-1−iiii−i−i−ii1i−i
χ1311111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-11-1-11-1-1-1-1111
χ1411111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-111111-1-1
χ1511111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1ii−i−i-1-11111i−i−i−iii−ii-1i−i
χ1611111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1−i−iii-1-11111−iiii−i−ii−i-1−ii
χ1722222-2-22222000022-2-222-2-20-2000000002-2000000000002i−2i02i−2i00000
χ1822222-2-22222000022-2-222-2-20-2000000002-200000000000−2i2i0−2i2i00000
χ1922222-2-22222000022-2-2-2-2220-200000000-22000000000002-20-2200000
χ2022222-2-22222000022-2-2-2-2220-200000000-2200000000000-2202-200000
χ212222-22-222220000-2-2-2-222220200000000-2-22222000000-200-20000000
χ222222-22-222220000-2-2-2-222220200000000-2-2-2-2-2-200000020020000000
χ232222-22-222220000-2-2-2-2-2-2-2-20200000000222i2i−2i−2i000000−2i002i0000000
χ242222-22-222220000-2-2-2-2-2-2-2-2020000000022−2i−2i2i2i0000002i00−2i0000000
χ252222-2-2222222-200-2-22222-2-20-200000000-2200002-2-220000000000000
χ262222-2-2222222-200-2-222-2-2220-2000000002-200002-22-20000000000000
χ272222-2-222222-2200-2-22222-2-20-200000000-220000-222-20000000000000
χ282222-2-222222-2200-2-222-2-2220-2000000002-20000-22-220000000000000
χ294444444-1-1-1-14444-1-1-1-100004-1-1-1-1-1-1-1-1-1000000-1-1000000000000000
χ304444444-1-1-1-144-4-4-1-1-1-10000-4-111111111000000-1-1000000000000000
χ314444444-1-1-1-1-4-444-1-1-1-10000-4-1-1-1-1-1111100000011000000000000000
χ324444444-1-1-1-1-4-4-4-4-1-1-1-100004-11111-1-1-1-100000011000000000000000
χ334444-4-44-1-1-1-14-40011-1-100000155−5−555−5−5000000-11000000000000000
χ344444-4-44-1-1-1-14-40011-1-1000001−5−555−5−555000000-11000000000000000
χ354444-4-44-1-1-1-1-440011-1-100000155−5−5−5−5550000001-1000000000000000
χ364444-4-44-1-1-1-1-440011-1-1000001−5−55555−5−50000001-1000000000000000
χ374-44-40004-44-4002i−2i0000004-4002i−2i2i−2i000000000000002i−2i00000000000
χ384-44-40004-44-4002i−2i000000-44002i−2i2i−2i00000000000000−2i2i00000000000
χ394-44-40004-44-400−2i2i0000004-400−2i2i−2i2i00000000000000−2i2i00000000000
χ404-44-40004-44-400−2i2i000000-4400−2i2i−2i2i000000000000002i−2i00000000000
χ414-4-440004-4-44000000004-4000000000000002i2−2i22i2−2i200000000000000000
χ424-4-440004-4-44000000004-400000000000000−2i22i2−2i22i200000000000000000
χ434-4-440004-4-4400000000-440000000000000022−22−222200000000000000000
χ444-4-440004-4-4400000000-4400000000000000−222222−2200000000000000000
χ4588888-8-8-2-2-2-20000-2-2220000020000000000000000000000000000000
χ468888-88-8-2-2-2-20000222200000-20000000000000000000000000000000
χ4788-8-800088-8-8000000000000000000000000000000000000000000000
χ4888-8-8000-2-222000025−25000000000000−ζ7−ζ13−ζ21+ζ23+ζ29+ζ31+ζ37−ζ39ζ7+ζ13+ζ21−ζ23−ζ29−ζ31−ζ37+ζ39ζ7+ζ13−ζ21−ζ23+ζ29+ζ31−ζ37−ζ39−ζ7−ζ13+ζ21+ζ23−ζ29−ζ31+ζ37+ζ3900000000000000000000000
χ4988-8-8000-2-222000025−25000000000000ζ7+ζ13+ζ21−ζ23−ζ29−ζ31−ζ37+ζ39−ζ7−ζ13−ζ21+ζ23+ζ29+ζ31+ζ37−ζ39−ζ7−ζ13+ζ21+ζ23−ζ29−ζ31+ζ37+ζ39ζ7+ζ13−ζ21−ζ23+ζ29+ζ31−ζ37−ζ3900000000000000000000000
χ5088-8-8000-2-2220000−2525000000000000ζ7+ζ13−ζ21−ζ23+ζ29+ζ31−ζ37−ζ39−ζ7−ζ13+ζ21+ζ23−ζ29−ζ31+ζ37+ζ39ζ7+ζ13+ζ21−ζ23−ζ29−ζ31−ζ37+ζ39−ζ7−ζ13−ζ21+ζ23+ζ29+ζ31+ζ37−ζ3900000000000000000000000
χ5188-8-8000-2-2220000−2525000000000000−ζ7−ζ13+ζ21+ζ23−ζ29−ζ31+ζ37+ζ39ζ7+ζ13−ζ21−ζ23+ζ29+ζ31−ζ37−ζ39−ζ7−ζ13−ζ21+ζ23+ζ29+ζ31+ζ37−ζ39ζ7+ζ13+ζ21−ζ23−ζ29−ζ31−ζ37+ζ3900000000000000000000000
χ528-88-8000-22-22004i−4i0025−25000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000
χ538-88-8000-22-22004i−4i00−2525000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000
χ548-88-8000-22-2200−4i4i0025−250000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000
χ558-88-8000-22-2200−4i4i00−25250000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000
χ5616-16-1616000-444-4000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.