Finite Group Databasebeta

← Group #13026292

Character table — Group #13026292

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1124444444444444558888888888888881016161616161616161620202020202020202040404040404040808080808080
order12222222244451010104424410101010101010102020202041010101020202020202444444444448888448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−ii−iii−i−i
χ41111111111111111-1-1111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−ii−i−iii
χ51111111-1-11-1-1111111-11-11111-1-1-1-1-1-1-1-1111-1-1111-1-1111-1-1-1-111-11-11111-1-11-11-1
χ61111111-1-11-1-1111111-11-11111-1-1-1-1-1-1-1-1111-1-1111-1-1111-1-1-1-111-11-1-1-1-1-111-11-11
χ71111111-1-11-1-11111-1-1-11-11111-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-11111-1-11-11ii−i−i−iii−i−ii
χ81111111-1-11-1-11111-1-1-11-11111-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-11111-1-11-11−i−iiii−i−iii−i
χ911111-1-1111-1-1111111-1-11-1-1-1-11111-1-1-1-1111-1-11-1-1111-1-111-1-111-1-111111-1-1-11-11
χ1011111-1-1111-1-1111111-1-11-1-1-1-11111-1-1-1-1111-1-11-1-1111-1-111-1-111-1-11-1-1-1-1111-11-1
χ1111111-1-1111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-111-1-11-1-111-111-1-111-1-111-1ii−i−i−ii−iii−i
χ1211111-1-1111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-111-1-11-1-111-111-1-111-1-111-1−i−iiii−ii−i−ii
χ1311111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-111111-1-1111111-1-1-1-1
χ1411111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-11111
χ1511111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-11111-1-1-1-1-111ii−i−ii−i−i−iii
χ1611111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-11111-1-1-1-1-111−i−iii−iiii−i−i
χ172222-20022-20022222200-200002222000022-200-200-2-2-20022002-200-20000000000
χ182222-20022-2002222-2-200-2000022220000-22-200-200-2-2200-2-200-220020000000000
χ192222-200-2-2-2002222220020000-2-2-2-2000022-200-20022-200-2-2002-20020000000000
χ202222-200-2-2-2002222-2-20020000-2-2-2-20000-22-200-200222002200-2200-20000000000
χ21222-222200-2002222220-202222000000002-2200-2-2-200-2220000-220-200000000000
χ22222-222200-2002222-2-20-20222200000000-2-2200-2-2-2002-2-200002-20200000000000
χ23222-22-2-200-200222222020-2-2-2-2000000002-2200-22200-2-2-20000-220200000000000
χ24222-22-2-200-2002222-2-2020-2-2-2-200000000-2-2200-2220022200002-20-200000000000
χ25222-2-20000222222222-2000000000022222-2-2-2-2200002000022-2-2-2000000000000
χ26222-2-200002222222-2-2-200000000002222-2-2-2-2-220000-20000-2-2222000000000000
χ27222-2-200002-2-222222220000000000-2-2-2-22-2-2222000020000-2-2-2-22000000000000
χ28222-2-200002-2-22222-2-220000000000-2-2-2-2-2-2-22220000-200002222-2000000000000
χ29444444444444-1-1-1-100444-1-1-1-1-1-1-1-1-1-1-1-10-1-1-1-1-1-1-1-1-10000000000000000000000
χ304444444-4-44-4-4-1-1-1-100-44-4-1-1-1-1111111110-1-111-1-1-1110000000000000000000000
χ3144444-4-4444-4-4-1-1-1-100-4-441111-1-1-1-111110-1-111-111-1-10000000000000000000000
χ3244444-4-4-4-4444-1-1-1-1004-4-411111111-1-1-1-10-1-1-1-1-111110000000000000000000000
χ334444-40044-400-1-1-1-10000-455−5−5-1-1-1-155−5−50-115−515−5110000000000000000000000
χ344444-40044-400-1-1-1-10000-4−5−555-1-1-1-1−5−5550-11−551−55110000000000000000000000
χ354444-400-4-4-400-1-1-1-10000455−5−51111−5−5550-11−5515−5-1-10000000000000000000000
χ364444-400-4-4-400-1-1-1-100004−5−555111155−5−50-115−51−55-1-10000000000000000000000
χ37444-444400-400-1-1-1-1000-40-1-1-1-155−5−555−5−501-1−551115−50000000000000000000000
χ38444-444400-400-1-1-1-1000-40-1-1-1-1−5−555−5−55501-15−5111−550000000000000000000000
χ39444-44-4-400-400-1-1-1-100040111155−5−5−5−55501-15−51-1-15−50000000000000000000000
χ40444-44-4-400-400-1-1-1-1000401111−5−55555−5−501-1−551-1-1−550000000000000000000000
χ41444-4-40000444-1-1-1-100-40055−5−555−5−5-1-1-1-101111-1−55−550000000000000000000000
χ42444-4-40000444-1-1-1-100-400−5−555−5−555-1-1-1-101111-15−55−50000000000000000000000
χ43444-4-400004-4-4-1-1-1-10040055−5−5−5−5551111011-1-1-1−555−50000000000000000000000
χ44444-4-400004-4-4-1-1-1-100400−5−55555−5−51111011-1-1-15−5−550000000000000000000000
χ4544-400000000044-4-444000000000000000-40000000000000000000002-22-2000000
χ4644-400000000044-4-444000000000000000-4000000000000000000000-22-22000000
χ4744-400000000044-4-4-4-400000000000000040000000000000000000002i−2i−2i2i000000
χ4844-400000000044-4-4-4-40000000000000004000000000000000000000−2i2i2i−2i000000
χ494-40002-22-202-24-4004i−4i0002-22-22-22-22-22-2000000000002i−2i2i−2i2i−2i000000000000000
χ504-40002-22-202-24-400−4i4i0002-22-22-22-22-22-200000000000−2i2i−2i2i−2i2i000000000000000
χ514-40002-2-220-224-4004i−4i0002-22-2-22-22-22-22000000000002i−2i−2i2i−2i2i000000000000000
χ524-40002-2-220-224-400−4i4i0002-22-2-22-22-22-2200000000000−2i2i2i−2i2i−2i000000000000000
χ534-4000-222-20-224-4004i−4i000-22-222-22-2-22-2200000000000−2i2i2i−2i−2i2i000000000000000
χ544-4000-222-20-224-400−4i4i000-22-222-22-2-22-22000000000002i−2i−2i2i2i−2i000000000000000
χ554-4000-22-2202-24-4004i−4i000-22-22-22-222-22-200000000000−2i2i−2i2i2i−2i000000000000000
χ564-4000-22-2202-24-400−4i4i000-22-22-22-222-22-2000000000002i−2i2i−2i−2i2i000000000000000
χ578-80004-44-404-4-2225−2500000−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+500000000000000000000000000000000
χ588-80004-44-404-4-22−252500000−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−500000000000000000000000000000000
χ598-80004-4-440-44-2225−2500000−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−500000000000000000000000000000000
χ608-80004-4-440-44-22−252500000−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+500000000000000000000000000000000
χ618-8000-444-40-44-2225−25000001−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−500000000000000000000000000000000
χ628-8000-444-40-44-22−2525000001+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+500000000000000000000000000000000
χ638-8000-44-4404-4-2225−25000001−5−1+51+5−1−51−5−1+51+5−1−5−1+51−5−1−51+500000000000000000000000000000000
χ648-8000-44-4404-4-22−2525000001+5−1−51−5−1+51+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000000000000000
χ651616-16000000000-4-4440000000000000000000000000000000000000000000000000

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