Finite Group Databasebeta

← Group #13023160

Character table — Group #13023160

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111114444444444888888888888881010101010101010202020202020202020202020202020204040111111114444444444888888888888881010101010101010202020202020202020202020202020204040
order1222444424510101020202020881010202040404040404040408888888816161616161616161616161616161616442222444424101010102020202088101020204040404040404040888888881616161616161616161616161616161644
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1
χ5111111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1
χ7111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11
χ8111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11
χ91111-1-1-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−iiiii−i−i−i−i−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ741-11111-1-1-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−iiiii−i−i−i−i−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ741-1
χ101111-1-1-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−iiiii−i−i−i−iζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ741-11111-1-1-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−iiiii−i−i−i−iζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ741-1
χ111111-1-1-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−i−i−i−i−iiiii−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78-111111-1-1-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−i−i−i−i−iiiii−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78-11
χ121111-1-1-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−i−i−i−i−iiiiiζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78-111111-1-1-1-1-111111-1-1-1-1i−i-1-111iiii−i−i−i−i−i−i−i−iiiiiζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78-11
χ131111-1-1-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiiiiiii−i−i−i−i−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74-111111-1-1-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiiiiiii−i−i−i−i−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74-11
χ141111-1-1-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiiiiiii−i−i−i−iζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74-111111-1-1-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiiiiiii−i−i−i−iζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74-11
χ151111-1-1-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiii−i−i−i−iiiii−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ781-11111-1-1-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiii−i−i−i−iiiii−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ781-1
χ161111-1-1-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiii−i−i−i−iiiiiζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ781-11111-1-1-1-1-111111-1-1-1-1−ii-1-111−i−i−i−iiiii−i−i−i−iiiiiζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ781-1
χ1722222222-2-22222222200-2-2-2-20000000022-2-222-2-200000000000000000022222222-2-22222222200-2-2-2-20000000022-2-222-2-2000000000000000000
χ1822222222-2-22222222200-2-2-2-200000000-2-222-2-22200000000000000000022222222-2-22222222200-2-2-2-200000000-2-222-2-222000000000000000000
χ192222-2-2-2-22-22222-2-2-2-20022-2-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000002222-2-2-2-22-22222-2-2-2-20022-2-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ202222-2-2-2-22-22222-2-2-2-20022-2-200000000−2i−2i2i2i2i2i−2i−2i0000000000000000002222-2-2-2-22-22222-2-2-2-20022-2-200000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ212-22-22i−2i2i−2i0022-2-22i−2i2i−2i0000000000000000−2ζ14−2ζ46−2ζ62−2ζ782ζ14+2ζ46+2ζ62+2ζ7800−2ζ26−2ζ42−2ζ58−2ζ742ζ26+2ζ42+2ζ58+2ζ74−ζ9+ζ13+ζ29−ζ41−ζ57+ζ61−ζ73+ζ77ζ9−ζ13−ζ29+ζ41+ζ57−ζ61+ζ73−ζ77ζ9+ζ13+ζ29+ζ41+ζ57+ζ61+ζ73+ζ77−ζ9−ζ13−ζ29−ζ41−ζ57−ζ61−ζ73−ζ770000−ζ11−ζ27−ζ31−ζ43−ζ47−ζ59−ζ63−ζ79ζ11+ζ27+ζ31+ζ43+ζ47+ζ59+ζ63+ζ79−ζ11−ζ27+ζ31−ζ43+ζ47−ζ59+ζ63+ζ79ζ11+ζ27−ζ31+ζ43−ζ47+ζ59−ζ63−ζ790000002-22-22i−2i2i−2i0022-2-22i−2i2i−2i0000000000000000−2ζ14−2ζ46−2ζ62−2ζ782ζ14+2ζ46+2ζ62+2ζ7800−2ζ26−2ζ42−2ζ58−2ζ742ζ26+2ζ42+2ζ58+2ζ74−ζ9+ζ13+ζ29−ζ41−ζ57+ζ61−ζ73+ζ77ζ9−ζ13−ζ29+ζ41+ζ57−ζ61+ζ73−ζ77ζ9+ζ13+ζ29+ζ41+ζ57+ζ61+ζ73+ζ77−ζ9−ζ13−ζ29−ζ41−ζ57−ζ61−ζ73−ζ770000−ζ11−ζ27−ζ31−ζ43−ζ47−ζ59−ζ63−ζ79ζ11+ζ27+ζ31+ζ43+ζ47+ζ59+ζ63+ζ79−ζ11−ζ27+ζ31−ζ43+ζ47−ζ59+ζ63+ζ79ζ11+ζ27−ζ31+ζ43−ζ47+ζ59−ζ63−ζ79000000
χ222-22-22i−2i2i−2i0022-2-22i−2i2i−2i0000000000000000−2ζ14−2ζ46−2ζ62−2ζ782ζ14+2ζ46+2ζ62+2ζ7800−2ζ26−2ζ42−2ζ58−2ζ742ζ26+2ζ42+2ζ58+2ζ74ζ9−ζ13−ζ29+ζ41+ζ57−ζ61+ζ73−ζ77−ζ9+ζ13+ζ29−ζ41−ζ57+ζ61−ζ73+ζ77−ζ9−ζ13−ζ29−ζ41−ζ57−ζ61−ζ73−ζ77ζ9+ζ13+ζ29+ζ41+ζ57+ζ61+ζ73+ζ770000ζ11+ζ27+ζ31+ζ43+ζ47+ζ59+ζ63+ζ79−ζ11−ζ27−ζ31−ζ43−ζ47−ζ59−ζ63−ζ79ζ11+ζ27−ζ31+ζ43−ζ47+ζ59−ζ63−ζ79−ζ11−ζ27+ζ31−ζ43+ζ47−ζ59+ζ63+ζ790000002-22-22i−2i2i−2i0022-2-22i−2i2i−2i0000000000000000−2ζ14−2ζ46−2ζ62−2ζ782ζ14+2ζ46+2ζ62+2ζ7800−2ζ26−2ζ42−2ζ58−2ζ742ζ26+2ζ42+2ζ58+2ζ74ζ9−ζ13−ζ29+ζ41+ζ57−ζ61+ζ73−ζ77−ζ9+ζ13+ζ29−ζ41−ζ57+ζ61−ζ73+ζ77−ζ9−ζ13−ζ29−ζ41−ζ57−ζ61−ζ73−ζ77ζ9+ζ13+ζ29+ζ41+ζ57+ζ61+ζ73+ζ770000ζ11+ζ27+ζ31+ζ43+ζ47+ζ59+ζ63+ζ79−ζ11−ζ27−ζ31−ζ43−ζ47−ζ59−ζ63−ζ79ζ11+ζ27−ζ31+ζ43−ζ47+ζ59−ζ63−ζ79−ζ11−ζ27+ζ31−ζ43+ζ47−ζ59+ζ63+ζ79000000
χ232-22-22i−2i2i−2i0022-2-22i−2i2i−2i00000000000000002ζ14+2ζ46+2ζ62+2ζ78−2ζ14−2ζ46−2ζ62−2ζ78002ζ26+2ζ42+2ζ58+2ζ74−2ζ26−2ζ42−2ζ58−2ζ74ζ9+ζ13+ζ29+ζ41+ζ57+ζ61+ζ73+ζ77−ζ9−ζ13−ζ29−ζ41−ζ57−ζ61−ζ73−ζ77ζ9−ζ13−ζ29+ζ41+ζ57−ζ61+ζ73−ζ77−ζ9+ζ13+ζ29−ζ41−ζ57+ζ61−ζ73+ζ770000ζ11+ζ27−ζ31+ζ43−ζ47+ζ59−ζ63−ζ79−ζ11−ζ27+ζ31−ζ43+ζ47−ζ59+ζ63+ζ79−ζ11−ζ27−ζ31−ζ43−ζ47−ζ59−ζ63−ζ79ζ11+ζ27+ζ31+ζ43+ζ47+ζ59+ζ63+ζ790000002-22-22i−2i2i−2i0022-2-22i−2i2i−2i00000000000000002ζ14+2ζ46+2ζ62+2ζ78−2ζ14−2ζ46−2ζ62−2ζ78002ζ26+2ζ42+2ζ58+2ζ74−2ζ26−2ζ42−2ζ58−2ζ74ζ9+ζ13+ζ29+ζ41+ζ57+ζ61+ζ73+ζ77−ζ9−ζ13−ζ29−ζ41−ζ57−ζ61−ζ73−ζ77ζ9−ζ13−ζ29+ζ41+ζ57−ζ61+ζ73−ζ77−ζ9+ζ13+ζ29−ζ41−ζ57+ζ61−ζ73+ζ770000ζ11+ζ27−ζ31+ζ43−ζ47+ζ59−ζ63−ζ79−ζ11−ζ27+ζ31−ζ43+ζ47−ζ59+ζ63+ζ79−ζ11−ζ27−ζ31−ζ43−ζ47−ζ59−ζ63−ζ79ζ11+ζ27+ζ31+ζ43+ζ47+ζ59+ζ63+ζ79000000
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Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.