Finite Group Databasebeta

← Group #13013782

Character table — Group #13013782

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222222222224444444444444444444444444444444444444444444444444444444444444444444444441010101020202020202020202020202020208080808080808080
order122222444488888888510101010101010161616161616161620202020202020204040404040404040404040404040404080808080808080808080808080808080808080808080808080808080808080802244248888161616161616161644448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii
χ811111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i
χ91111-1-11-1-111111-1-1-1-1111-1-1-1-11iiii−i−i−i−i11-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-1111-1-1iiii−i−i−i−i1-11-1i−ii−i
χ101111-1-11-1-111111-1-1-1-1111-1-1-1-11iiii−i−i−i−i11-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-1111-1-1iiii−i−i−i−i-11-11−ii−ii
χ111111-1-11-1-111111-1-1-1-1111-1-1-1-11iiii−i−i−i−i11-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1111-1-1-111−i−i−i−iiiiii−i−ii-111-1
χ121111-1-11-1-111111-1-1-1-1111-1-1-1-11iiii−i−i−i−i11-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1111-1-1-111−i−i−i−iiiii−iii−i1-1-11
χ131111-1-11-1-111111-1-1-1-1111-1-1-1-11−i−i−i−iiiii11-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1-1111-1-1−i−i−i−iiiii1-11-1−ii−ii
χ141111-1-11-1-111111-1-1-1-1111-1-1-1-11−i−i−i−iiiii11-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1-1111-1-1−i−i−i−iiiii-11-11i−ii−i
χ151111-1-11-1-111111-1-1-1-1111-1-1-1-11−i−i−i−iiiii11-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1111-1-1-111iiii−i−i−i−ii−i−ii1-1-11
χ161111-1-11-1-111111-1-1-1-1111-1-1-1-11−i−i−i−iiiii11-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1111-1-1-111iiii−i−i−i−i−iii−i-111-1
χ172222222222-2-2-2-2-2-2-2-2222222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000222222-2-2-2-20000000000000000
χ182222222222-2-2-2-2-2-2-2-2222222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-222220000000000000000
χ19222222-2-2-2-20000000022222222i2i2−i2−i2i2i2−i2−i2-2-2-2-2-2-2-2-20000000000000000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i222-2-22-20000i2i2−i2−i2i2i2−i2−i200000000
χ20222222-2-2-2-20000000022222222i2i2−i2−i2i2i2−i2−i2-2-2-2-2-2-2-2-20000000000000000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2-2-222-220000−i2−i2i2i2−i2−i2i2i200000000
χ21222222-2-2-2-20000000022222222−i2−i2i2i2−i2−i2i2i2-2-2-2-2-2-2-2-20000000000000000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i222-2-22-20000−i2−i2i2i2−i2−i2i2i200000000
χ22222222-2-2-2-20000000022222222−i2−i2i2i2−i2−i2i2i2-2-2-2-2-2-2-2-20000000000000000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2-2-222-220000i2i2−i2−i2i2i2−i2−i200000000
χ232222-2-22-2-22-2-2-2-22222222-2-2-2-220000000022-2-2-2-222-2-2-2-2-2-2-2-2222222220000000000000000000000000000000022-2-2-22-2-2220000000000000000
χ242222-2-22-2-22-2-2-2-22222222-2-2-2-220000000022-2-2-2-222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-2-2222-222-2-20000000000000000
χ252222-2-2-222-200000000222-2-2-2-2222−2−2−2−222-2-22222-2-2000000000000000022222222−2−2−2−2−2−2−2−2−2−2−2−2−2−2−2−2222222222222-2-2000022−2−2−2−22200000000
χ262222-2-2-222-200000000222-2-2-2-2222−2−2−2−222-2-22222-2-2000000000000000022222222−2−2−2−2−2−2−2−2−2−2−2−2−2−2−2−222222222-2-2-2-2220000−2−22222−2−200000000
χ272222-2-2-222-200000000222-2-2-2-22−2−22222−2−2-2-22222-2-20000000000000000−2−2−2−2−2−2−2−22222222222222222−2−2−2−2−2−2−2−22222-2-20000−2−22222−2−200000000
χ282222-2-2-222-200000000222-2-2-2-22−2−22222−2−2-2-22222-2-20000000000000000−2−2−2−2−2−2−2−22222222222222222−2−2−2−2−2−2−2−2-2-2-2-222000022−2−2−2−22200000000
χ2922-2-20002i−2i022−2−2i2−i2i2−i222-20000-2ζ13+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+ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73002i2i−2i−2i002222−2−2−2−2i2i2−i2−i2i2i2−i2−i2ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ13+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−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73−ζ9−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+ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ13+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−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73ζ9−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−ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ732-22i−2i002−2i2−i2ζ13+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+ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ7300000000
χ3022-2-20002i−2i022−2−2i2−i2i2−i222-20000-2ζ13+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+ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73002i2i−2i−2i002222−2−2−2−2i2i2−i2−i2i2i2−i2−i2ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ13+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−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73−ζ9−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+ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ13+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−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73ζ9−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−ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73-22−2i2i00−22−i2i2−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−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ7300000000
χ3122-2-20002i−2i022−2−2i2−i2i2−i222-20000-2−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−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73002i2i−2i−2i002222−2−2−2−2i2i2−i2−i2i2i2−i2−i2−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ13−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−ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9+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−ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ13−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+ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73−ζ9+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+ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ732-22i−2i002−2i2−i2−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−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ7300000000
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Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.