Finite Group Databasebeta

← Group #13014476

Character table — Group #13014476

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size112444445588810161616161616162020202020202020202020323232323240408080808080808080
order12244451044221044410102020202444444444410202020204444888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ311111111111111-1-111111111111111111-1-1-1-111-1-111-1-1-1-1
χ411111111111111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111
χ51111111111-1-111i−i-1-111111111111111-1ii−i−i-1-1i−i-1-1ii−i−i
χ61111111111-1-111i−i-1-1111111-1-1-1-1-1-1-1-1-1ii−i−i-1-1i−i11−i−iii
χ71111111111-1-111−ii-1-111111111111111-1−i−iii-1-1−ii-1-1−i−iii
χ81111111111-1-111−ii-1-1111111-1-1-1-1-1-1-1-1-1−i−iii-1-1−ii11ii−i−i
χ911111111-1-1111-11111111-1-1-1iiii−i−i−i−i11111-1-1-1-1i−ii−ii−i
χ1011111111-1-1111-11111111-1-1-1−i−i−i−iiiii11111-1-1-1-1−ii−ii−ii
χ1111111111-1-1111-1-1-111111-1-1-1iiii−i−i−i−i1-1-1-1-1-1-111i−i−ii−ii
χ1211111111-1-1111-1-1-111111-1-1-1−i−i−i−iiiii1-1-1-1-1-1-111−iii−ii−i
χ1311111111-1-1-1-11-1i−i-1-1111-1-1-1iiii−i−i−i−i-1ii−i−i11−ii−ii-111-1
χ1411111111-1-1-1-11-1i−i-1-1111-1-1-1−i−i−i−iiiii-1ii−i−i11−iii−i1-1-11
χ1511111111-1-1-1-11-1−ii-1-1111-1-1-1iiii−i−i−i−i-1−i−iii11i−i−ii1-1-11
χ1611111111-1-1-1-11-1−ii-1-1111-1-1-1−i−i−i−iiiii-1−i−iii11i−ii−i-111-1
χ172222-2-222222-22200-2-22-2-22-2-20000000020000-2200000000
χ182222-2-22222-222200222-2-22-2-200000000-200002-200000000
χ192222-2-222-2-22-22-200-2-22-2-2-22200000000200002-200000000
χ202222-2-222-2-2-222-200222-2-2-22200000000-20000-2200000000
χ21444444-1-10044-1044-1-1-1-1-100000000000-1-1-1-1-10000000000
χ22444444-1-10044-10-4-4-1-1-1-1-100000000000-111110000000000
χ23444444-1-100-4-4-104i−4i11-1-1-1000000000001−i−iii0000000000
χ24444444-1-100-4-4-10−4i4i11-1-1-1000000000001ii−i−i0000000000
χ254444-4-4-1-1004-4-100011-11100000000000-1i5−i5i5−i50000000000
χ264444-4-4-1-1004-4-100011-11100000000000-1−i5i5−i5i50000000000
χ274444-4-4-1-100-44-1000-1-1-1110000000000015−5−550000000000
χ284444-4-4-1-100-44-1000-1-1-111000000000001−555−50000000000
χ29444-400444400440000-400-40000000000000000000000000
χ30444-40044-4-4004-40000-40040000000000000000000000000
χ3144-4000444400-4-4000000000022-2-222-2-2000000000000000
χ3244-4000444400-4-40000000000-2-222-2-222000000000000000
χ3344-400044-4-400-4400000000002i2i−2i−2i−2i−2i2i2i000000000000000
χ3444-400044-4-400-440000000000−2i−2i2i2i2i2i−2i−2i000000000000000
χ354-4002-24-44i−4i0000000002-202i−2i002+2i−2−2i002−2i−2+2i000000000000000
χ364-4002-24-44i−4i0000000002-202i−2i00−2−2i2+2i00−2+2i2−2i000000000000000
χ374-4002-24-4−4i4i0000000002-20−2i2i002−2i−2+2i002+2i−2−2i000000000000000
χ384-4002-24-4−4i4i0000000002-20−2i2i00−2+2i2−2i00−2−2i2+2i000000000000000
χ394-400-224-44i−4i000000000-220−2i2i2+2i−2−2i002−2i−2+2i00000000000000000
χ404-400-224-44i−4i000000000-220−2i2i−2−2i2+2i00−2+2i2−2i00000000000000000
χ414-400-224-4−4i4i000000000-2202i−2i2−2i−2+2i002+2i−2−2i00000000000000000
χ424-400-224-4−4i4i000000000-2202i−2i−2+2i2−2i00−2−2i2+2i00000000000000000
χ43888-800-2-20000-200025−2520000000000000000000000000000
χ44888-800-2-20000-2000−252520000000000000000000000000000
χ451616-16000-4-4000040000000000000000000000000000000000
χ4616-16008-8-4400000000000-2200000000000000000000000000
χ4716-1600-88-44000000000002-200000000000000000000000000

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