Finite Group Databasebeta

← Group #87656

Character table — Group #87656

Order 392.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14
size188888849494949494949
order17777772448888
χ111111111111111
χ21111111111-1-1-1-1
χ311111111-1-1ii−i−i
χ411111111-1-1−i−iii
χ51111111-1i−i−ζ15−ζ23−ζ31−ζ39−ζ47−ζ55ζ15+ζ23+ζ31+ζ39+ζ47+ζ55−ζ5−ζ13−ζ29−ζ37−ζ45−ζ53ζ5+ζ13+ζ29+ζ37+ζ45+ζ53
χ61111111-1i−iζ15+ζ23+ζ31+ζ39+ζ47+ζ55−ζ15−ζ23−ζ31−ζ39−ζ47−ζ55ζ5+ζ13+ζ29+ζ37+ζ45+ζ53−ζ5−ζ13−ζ29−ζ37−ζ45−ζ53
χ71111111-1−ii−ζ5−ζ13−ζ29−ζ37−ζ45−ζ53ζ5+ζ13+ζ29+ζ37+ζ45+ζ53−ζ15−ζ23−ζ31−ζ39−ζ47−ζ55ζ15+ζ23+ζ31+ζ39+ζ47+ζ55
χ81111111-1−iiζ5+ζ13+ζ29+ζ37+ζ45+ζ53−ζ5−ζ13−ζ29−ζ37−ζ45−ζ53ζ15+ζ23+ζ31+ζ39+ζ47+ζ55−ζ15−ζ23−ζ31−ζ39−ζ47−ζ55
χ98−2ζ4−2ζ12−2ζ44−2ζ52−2ζ4−2ζ20−2ζ36−2ζ52−2ζ12−2ζ20−2ζ36−2ζ44ζ12+2ζ20+2ζ36+ζ44ζ4+2ζ12+2ζ44+ζ522ζ4+ζ20+ζ36+2ζ520000000
χ108−2ζ4−2ζ20−2ζ36−2ζ52−2ζ12−2ζ20−2ζ36−2ζ44−2ζ4−2ζ12−2ζ44−2ζ52ζ4+2ζ12+2ζ44+ζ522ζ4+ζ20+ζ36+2ζ52ζ12+2ζ20+2ζ36+ζ440000000
χ118−2ζ12−2ζ20−2ζ36−2ζ44−2ζ4−2ζ12−2ζ44−2ζ52−2ζ4−2ζ20−2ζ36−2ζ522ζ4+ζ20+ζ36+2ζ52ζ12+2ζ20+2ζ36+ζ44ζ4+2ζ12+2ζ44+ζ520000000
χ128ζ12+2ζ20+2ζ36+ζ44ζ4+2ζ12+2ζ44+ζ522ζ4+ζ20+ζ36+2ζ52−2ζ12−2ζ20−2ζ36−2ζ44−2ζ4−2ζ12−2ζ44−2ζ52−2ζ4−2ζ20−2ζ36−2ζ520000000
χ138ζ4+2ζ12+2ζ44+ζ522ζ4+ζ20+ζ36+2ζ52ζ12+2ζ20+2ζ36+ζ44−2ζ4−2ζ12−2ζ44−2ζ52−2ζ4−2ζ20−2ζ36−2ζ52−2ζ12−2ζ20−2ζ36−2ζ440000000
χ1482ζ4+ζ20+ζ36+2ζ52ζ12+2ζ20+2ζ36+ζ44ζ4+2ζ12+2ζ44+ζ52−2ζ4−2ζ20−2ζ36−2ζ52−2ζ12−2ζ20−2ζ36−2ζ44−2ζ4−2ζ12−2ζ44−2ζ520000000

Here ζ is a primitive root of unity of order 56 (ζ56 = 1); i = ζ14.