Finite Group Databasebeta

← Group #13013867

Character table — Group #13013867

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222222444444444445555888888888888888810101010101010101616161616161616202020202020202020202020202020202020204040404080808080
order122244448888258810101020202020222288881010202040404040404040404444888840404040404040402881616161616161616161616161616161688884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1ii−i−i
χ611111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−iii
χ711111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111−i−iii
χ811111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111ii−i−i
χ9111111-1-1-1-1-1-1-1111111-1-1-1-11111ii−i−i-1-1111111-1-1-1-111-1-1-1-1-1-1iiii−i−i−i−i-111iiii−i−i−i−iiiii−i−i−i−iii−i−i1-11-1
χ10111111-1-1-1-1-1-1-1111111-1-1-1-11111ii−i−i-1-1111111-1-1-1-111-1-1-1-1-1-1iiii−i−i−i−i-111−i−i−i−iiiii−i−i−i−iiiiiii−i−i-11-11
χ11111111-1-1-1-1-1-1-1111111-1-1-1-11111−i−iii-1-1111111-1-1-1-111-1-1-1-1-1-1−i−i−i−iiiii-111iiii−i−i−i−iiiii−i−i−i−i−i−iii-11-11
χ12111111-1-1-1-1-1-1-1111111-1-1-1-11111−i−iii-1-1111111-1-1-1-111-1-1-1-1-1-1−i−i−i−iiiii-111−i−i−i−iiiii−i−i−i−iiiii−i−iii1-11-1
χ13111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1ii−i−i-1-1111111-1-1-1-1-1-1111111iiii−i−i−i−i1-1-11111-1-1-1-1-1-1-1-11111−i−iii−iii−i
χ14111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1ii−i−i-1-1111111-1-1-1-1-1-1111111iiii−i−i−i−i1-1-1-1-1-1-111111111-1-1-1-1−i−iiii−i−ii
χ15111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1−i−iii-1-1111111-1-1-1-1-1-1111111−i−i−i−iiiii1-1-11111-1-1-1-1-1-1-1-11111ii−i−ii−i−ii
χ16111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1−i−iii-1-1111111-1-1-1-1-1-1111111−i−i−i−iiiii1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−iii−i
χ1722222222-2-2-2-222-2-22222222222200002222-2-2-2-2-2-2-2-22222-2-2-2-2000000002-2-2000000000000000000000000
χ1822222222-2-2-2-222-2-22222222-2-2-2-200002222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-222000000000000000000000000
χ19222222-2-22222-22-2-2222-2-2-2-222220000-2-222-2-2-2-2222222-2-2222200000000-2-2-2000000000000000000000000
χ20222222-2-22222-22-2-2222-2-2-2-2-2-2-2-20000-2-222-2-2-2-22222-2-222-2-2-2-200000000222000000000000000000000000
χ212222-2-2220000-2200222222222220000-2-2-2-200000000-2-222000000000000-20022−2−222−2−222−2−222−2−200000000
χ222222-2-2220000-2200222222222220000-2-2-2-200000000-2-222000000000000-200−2−222−2−222−2−222−2−22200000000
χ232222-2-2220000-22002222222-2-2-2-20000-2-2-2-20000000022-2-2000000000000200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000
χ242222-2-2220000-22002222222-2-2-2-20000-2-2-2-20000000022-2-2000000000000200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000
χ252222-2-2-2-200002200222-2-2-2-22222000022-2-200000000-2-2-2-2000000000000200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000
χ262222-2-2-2-200002200222-2-2-2-22222000022-2-200000000-2-2-2-2000000000000200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000
χ272222-2-2-2-200002200222-2-2-2-2-2-2-2-2000022-2-2000000002222000000000000-20022−2−2−2−222−2−22222−2−200000000
χ282222-2-2-2-200002200222-2-2-2-2-2-2-2-2000022-2-2000000002222000000000000-200−2−22222−2−222−2−2−2−22200000000
χ2922-2-2002i−2ii2i2−i2−i2022−22-2-22i2i−2i−2i2-22-20000000022−2−2i2i2−i2−i2002i−2ii2i2−i2−i20000000002−2ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ7900000000
χ3022-2-2002i−2ii2i2−i2−i2022−22-2-22i2i−2i−2i2-22-20000000022−2−2i2i2−i2−i2002i−2ii2i2−i2−i20000000002−2−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ7900000000
χ3122-2-2002i−2ii2i2−i2−i2022−22-2-22i2i−2i−2i-22-220000000022−2−2i2i2−i2−i200−2i2i−i2−i2i2i2000000000−22ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ7300000000
χ3222-2-2002i−2ii2i2−i2−i2022−22-2-22i2i−2i−2i-22-220000000022−2−2i2i2−i2−i200−2i2i−i2−i2i2i2000000000−22−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ7300000000
χ3322-2-2002i−2i−i2−i2i2i202−222-2-22i2i−2i−2i2-22-200000000−2−222−i2−i2i2i2002i−2i−i2−i2i2i2000000000−22−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ7300000000
χ3422-2-2002i−2i−i2−i2i2i202−222-2-22i2i−2i−2i2-22-200000000−2−222−i2−i2i2i2002i−2i−i2−i2i2i2000000000−22ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ7300000000
χ3522-2-2002i−2i−i2−i2i2i202−222-2-22i2i−2i−2i-22-2200000000−2−222−i2−i2i2i200−2i2ii2i2−i2−i20000000002−2ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ7900000000
χ3622-2-2002i−2i−i2−i2i2i202−222-2-22i2i−2i−2i-22-2200000000−2−222−i2−i2i2i200−2i2ii2i2−i2−i20000000002−2−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ7900000000
χ3722-2-200−2i2ii2i2−i2−i202−222-2-2−2i−2i2i2i2-22-200000000−2−222i2i2−i2−i200−2i2ii2i2−i2−i2000000000−22ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ7900000000
χ3822-2-200−2i2ii2i2−i2−i202−222-2-2−2i−2i2i2i2-22-200000000−2−222i2i2−i2−i200−2i2ii2i2−i2−i2000000000−22−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ7900000000
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Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.