Finite Group Databasebeta

← Group #13157112

Character table — Group #13157112

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122444444444488888888888899991818181818181818181836363636363611112244444444448888888888889999181818181818181818183636363636361111224444444444888888888888999918181818181818181818363636363636
order124424336688121212126612122424242424242424888888161616161616161624161616163612126123366242412121212661212242424242424242424242424242448484848484848486124848484836121261233662424121212126612122424242424242424242424242424484848484848484861248484848
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i1111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i1111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ41111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii1111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii1111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ51111111111-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ61111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ911-1-1-111111i−i-1-1-1-1-1-111iiii−i−i−i−iii−i−ii−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ261-1ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ4611-1-1-111111i−i-1-1-1-1-1-111iiii−i−i−i−iii−i−ii−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ261-1ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ4611-1-1-111111i−i-1-1-1-1-1-111iiii−i−i−i−iii−i−ii−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ261-1ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46
χ1011-1-1-111111i−i-1-1-1-1-1-111iiii−i−i−i−iii−i−ii−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ261-1−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ4611-1-1-111111i−i-1-1-1-1-1-111iiii−i−i−i−iii−i−ii−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ261-1−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ4611-1-1-111111i−i-1-1-1-1-1-111iiii−i−i−i−iii−i−ii−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ261-1−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46
χ1111-1-1-111111i−i-1-1-1-1-1-111iiii−i−i−i−i−i−iii−iiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46-11−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ2611-1-1-111111i−i-1-1-1-1-1-111iiii−i−i−i−i−i−iii−iiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46-11−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ2611-1-1-111111i−i-1-1-1-1-1-111iiii−i−i−i−i−i−iii−iiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46-11−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26
χ1211-1-1-111111i−i-1-1-1-1-1-111iiii−i−i−i−i−i−iii−ii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46-11ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ2611-1-1-111111i−i-1-1-1-1-1-111iiii−i−i−i−i−i−iii−ii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46-11ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ2611-1-1-111111i−i-1-1-1-1-1-111iiii−i−i−i−i−i−iii−ii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46-11ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26
χ1311-1-1-111111−ii-1-1-1-1-1-111−i−i−i−iiiiiii−i−ii−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26-11−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ4611-1-1-111111−ii-1-1-1-1-1-111−i−i−i−iiiiiii−i−ii−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26-11−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ4611-1-1-111111−ii-1-1-1-1-1-111−i−i−i−iiiiiii−i−ii−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26-11−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46
χ1411-1-1-111111−ii-1-1-1-1-1-111−i−i−i−iiiiiii−i−ii−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26-11ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ4611-1-1-111111−ii-1-1-1-1-1-111−i−i−i−iiiiiii−i−ii−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26-11ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ4611-1-1-111111−ii-1-1-1-1-1-111−i−i−i−iiiiiii−i−ii−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26-11ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46
χ1511-1-1-111111−ii-1-1-1-1-1-111−i−i−i−iiiii−i−iii−iiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ461-1ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ2611-1-1-111111−ii-1-1-1-1-1-111−i−i−i−iiiii−i−iii−iiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ461-1ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ2611-1-1-111111−ii-1-1-1-1-1-111−i−i−i−iiiii−i−iii−iiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ461-1ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26
χ1611-1-1-111111−ii-1-1-1-1-1-111−i−i−i−iiiii−i−iii−ii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ461-1−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ2611-1-1-111111−ii-1-1-1-1-1-111−i−i−i−iiiii−i−iii−ii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ461-1−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ2611-1-1-111111−ii-1-1-1-1-1-111−i−i−i−iiiii−i−iii−ii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ461-1−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26
χ172222-2-22222002222-2-2-2-2000000002222-2-2000000000000002222-2-22222002222-2-2-2-2000000002222-2-2000000000000002222-2-22222002222-2-2-2-2000000002222-2-200000000000000
χ182222-2-22222002222-2-2-2-200000000-2-2-2-222000000000000002222-2-22222002222-2-2-2-200000000-2-2-2-222000000000000002222-2-22222002222-2-2-2-200000000-2-2-2-22200000000000000
χ1922-2-22-2222200-2-2-2-222-2-2000000002i2i−2i−2i−2i2i0000000000000022-2-22-2222200-2-2-2-222-2-2000000002i2i−2i−2i−2i2i0000000000000022-2-22-2222200-2-2-2-222-2-2000000002i2i−2i−2i−2i2i00000000000000
χ2022-2-22-2222200-2-2-2-222-2-200000000−2i−2i2i2i2i−2i0000000000000022-2-22-2222200-2-2-2-222-2-200000000−2i−2i2i2i2i−2i0000000000000022-2-22-2222200-2-2-2-222-2-200000000−2i−2i2i2i2i−2i00000000000000
χ212-22i−2i0022-2-2002i2i−2i−2i0000000000002ζ14+2ζ46−2ζ14−2ζ462ζ10+2ζ26−2ζ10−2ζ2600ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ470000002-22i−2i0022-2-2002i2i−2i−2i0000000000002ζ14+2ζ46−2ζ14−2ζ462ζ10+2ζ26−2ζ10−2ζ2600ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ470000002-22i−2i0022-2-2002i2i−2i−2i0000000000002ζ14+2ζ46−2ζ14−2ζ462ζ10+2ζ26−2ζ10−2ζ2600ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47000000
χ222-22i−2i0022-2-2002i2i−2i−2i0000000000002ζ14+2ζ46−2ζ14−2ζ462ζ10+2ζ26−2ζ10−2ζ2600−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ470000002-22i−2i0022-2-2002i2i−2i−2i0000000000002ζ14+2ζ46−2ζ14−2ζ462ζ10+2ζ26−2ζ10−2ζ2600−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ470000002-22i−2i0022-2-2002i2i−2i−2i0000000000002ζ14+2ζ46−2ζ14−2ζ462ζ10+2ζ26−2ζ10−2ζ2600−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47000000
χ232-22i−2i0022-2-2002i2i−2i−2i000000000000−2ζ14−2ζ462ζ14+2ζ46−2ζ10−2ζ262ζ10+2ζ2600−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ470000002-22i−2i0022-2-2002i2i−2i−2i000000000000−2ζ14−2ζ462ζ14+2ζ46−2ζ10−2ζ262ζ10+2ζ2600−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ470000002-22i−2i0022-2-2002i2i−2i−2i000000000000−2ζ14−2ζ462ζ14+2ζ46−2ζ10−2ζ262ζ10+2ζ2600−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47000000
χ242-22i−2i0022-2-2002i2i−2i−2i000000000000−2ζ14−2ζ462ζ14+2ζ46−2ζ10−2ζ262ζ10+2ζ2600ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ470000002-22i−2i0022-2-2002i2i−2i−2i000000000000−2ζ14−2ζ462ζ14+2ζ46−2ζ10−2ζ262ζ10+2ζ2600ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ470000002-22i−2i0022-2-2002i2i−2i−2i000000000000−2ζ14−2ζ462ζ14+2ζ46−2ζ10−2ζ262ζ10+2ζ2600ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47000000
χ252-2−2i2i0022-2-200−2i−2i2i2i0000000000002ζ10+2ζ26−2ζ10−2ζ262ζ14+2ζ46−2ζ14−2ζ4600ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ410000002-2−2i2i0022-2-200−2i−2i2i2i0000000000002ζ10+2ζ26−2ζ10−2ζ262ζ14+2ζ46−2ζ14−2ζ4600ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ410000002-2−2i2i0022-2-200−2i−2i2i2i0000000000002ζ10+2ζ26−2ζ10−2ζ262ζ14+2ζ46−2ζ14−2ζ4600ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41000000
χ262-2−2i2i0022-2-200−2i−2i2i2i0000000000002ζ10+2ζ26−2ζ10−2ζ262ζ14+2ζ46−2ζ14−2ζ4600−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ410000002-2−2i2i0022-2-200−2i−2i2i2i0000000000002ζ10+2ζ26−2ζ10−2ζ262ζ14+2ζ46−2ζ14−2ζ4600−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ410000002-2−2i2i0022-2-200−2i−2i2i2i0000000000002ζ10+2ζ26−2ζ10−2ζ262ζ14+2ζ46−2ζ14−2ζ4600−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41000000
χ272-2−2i2i0022-2-200−2i−2i2i2i000000000000−2ζ10−2ζ262ζ10+2ζ26−2ζ14−2ζ462ζ14+2ζ4600ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ410000002-2−2i2i0022-2-200−2i−2i2i2i000000000000−2ζ10−2ζ262ζ10+2ζ26−2ζ14−2ζ462ζ14+2ζ4600ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ410000002-2−2i2i0022-2-200−2i−2i2i2i000000000000−2ζ10−2ζ262ζ10+2ζ26−2ζ14−2ζ462ζ14+2ζ4600ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41000000
χ282-2−2i2i0022-2-200−2i−2i2i2i000000000000−2ζ10−2ζ262ζ10+2ζ26−2ζ14−2ζ462ζ14+2ζ4600−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ410000002-2−2i2i0022-2-200−2i−2i2i2i000000000000−2ζ10−2ζ262ζ10+2ζ26−2ζ14−2ζ462ζ14+2ζ4600−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ410000002-2−2i2i0022-2-200−2i−2i2i2i000000000000−2ζ10−2ζ262ζ10+2ζ26−2ζ14−2ζ462ζ14+2ζ4600−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41000000
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χ11011-1-1-111111−ii-1-1-1-1-1-111−i−i−i−iiiiiii−i−ii−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26-11ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ44ζ441+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44ζ44ζ44−ζ44−ζ44ζ44−ζ44ζ14ζ14−ζ14−ζ14ζ26ζ26−ζ26−ζ261+i32−1−i32−ζ26ζ26−ζ14ζ14−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ28ζ281−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28ζ28ζ28−ζ28−ζ28ζ28−ζ28ζ46ζ46−ζ46−ζ46ζ10ζ10−ζ10−ζ101−i32−1+i32−ζ10ζ10−ζ46ζ46
χ11111-1-1-111111−ii-1-1-1-1-1-111−i−i−i−iiiii−i−iii−iiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ461-1ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ44ζ441+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44−ζ44−ζ44ζ44ζ44−ζ44ζ44−ζ26−ζ26ζ26ζ26−ζ14−ζ14ζ14ζ14−1−i321+i32−ζ14ζ14−ζ26ζ26−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ28ζ281−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28−ζ28−ζ28ζ28ζ28−ζ28ζ28−ζ10−ζ10ζ10ζ10−ζ46−ζ46ζ46ζ46−1+i321−i32−ζ46ζ46−ζ10ζ10
χ11211-1-1-111111−ii-1-1-1-1-1-111−i−i−i−iiiii−i−iii−ii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ461-1−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ44ζ441+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44−ζ44−ζ44ζ44ζ44−ζ44ζ44ζ26ζ26−ζ26−ζ26ζ14ζ14−ζ14−ζ14−1−i321+i32ζ14−ζ14ζ26−ζ26−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ28ζ281−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28−ζ28−ζ28ζ28ζ28−ζ28ζ28ζ10ζ10−ζ10−ζ10ζ46ζ46−ζ46−ζ46−1+i321−i32ζ46−ζ46ζ10−ζ10
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χ1182-22i−2i0022-2-2002i2i−2i−2i0000000000002ζ14+2ζ46−2ζ14−2ζ462ζ10+2ζ26−2ζ10−2ζ2600−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47000000−1−i31+i32ζ44−2ζ4400−1−i3−1−i31+i31+i3002ζ442ζ44−2ζ44−2ζ44000000000000−2ζ142ζ14−2ζ262ζ2600ζ29−ζ41−ζ29+ζ41−ζ29−ζ41ζ29+ζ41ζ11+ζ47−ζ11−ζ47ζ11−ζ47−ζ11+ζ47000000−1+i31−i32ζ28−2ζ2800−1+i3−1+i31−i31−i3002ζ282ζ28−2ζ28−2ζ28000000000000−2ζ462ζ46−2ζ102ζ1000ζ13−ζ25−ζ13+ζ25−ζ13−ζ25ζ13+ζ25ζ31+ζ43−ζ31−ζ43−ζ31+ζ43ζ31−ζ43000000
χ1192-22i−2i0022-2-2002i2i−2i−2i000000000000−2ζ14−2ζ462ζ14+2ζ46−2ζ10−2ζ262ζ10+2ζ2600−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47000000−1−i31+i32ζ44−2ζ4400−1−i3−1−i31+i31+i3002ζ442ζ44−2ζ44−2ζ440000000000002ζ14−2ζ142ζ26−2ζ2600ζ29+ζ41−ζ29−ζ41ζ29−ζ41−ζ29+ζ41−ζ11+ζ47ζ11−ζ47ζ11+ζ47−ζ11−ζ47000000−1+i31−i32ζ28−2ζ2800−1+i3−1+i31−i31−i3002ζ282ζ28−2ζ28−2ζ280000000000002ζ46−2ζ462ζ10−2ζ1000ζ13+ζ25−ζ13−ζ25ζ13−ζ25−ζ13+ζ25ζ31−ζ43−ζ31+ζ43ζ31+ζ43−ζ31−ζ43000000
χ1202-22i−2i0022-2-2002i2i−2i−2i000000000000−2ζ14−2ζ462ζ14+2ζ46−2ζ10−2ζ262ζ10+2ζ2600ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47000000−1−i31+i32ζ44−2ζ4400−1−i3−1−i31+i31+i3002ζ442ζ44−2ζ44−2ζ440000000000002ζ14−2ζ142ζ26−2ζ2600−ζ29−ζ41ζ29+ζ41−ζ29+ζ41ζ29−ζ41ζ11−ζ47−ζ11+ζ47−ζ11−ζ47ζ11+ζ47000000−1+i31−i32ζ28−2ζ2800−1+i3−1+i31−i31−i3002ζ282ζ28−2ζ28−2ζ280000000000002ζ46−2ζ462ζ10−2ζ1000−ζ13−ζ25ζ13+ζ25−ζ13+ζ25ζ13−ζ25−ζ31+ζ43ζ31−ζ43−ζ31−ζ43ζ31+ζ43000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.