Finite Group Databasebeta

← Group #13154869

Character table — Group #13154869

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size112224444444444888121212121212121212121212181824243648487272112224444444444888121212121212121212121212181824243648487272112224444444444888121212121212121212121212181824243648487272
order1248833661212242424241224241616161648484848484848482424861244361224243366121224242424122424484848484848484848484848612612246121212361224243366121224242424122424484848484848484848484848612612246121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11-1-1-1-111111111111111111111111111111111-1-11-1-1-1-111111111111111111111111111111111-1-11-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111
χ5111-1-1111111-1-1-1-11-1-1ii−i−iiiii−i−i−i−i-1-11-111-1i−i111-1-1111111-1-1-1-11-1-1ii−i−iiiii−i−i−i−i-1-11-111-1i−i111-1-1111111-1-1-1-11-1-1ii−i−iiiii−i−i−i−i-1-11-111-1i−i
χ6111-1-1111111-1-1-1-11-1-1ii−i−iiiii−i−i−i−i-1-1-111-11−ii111-1-1111111-1-1-1-11-1-1ii−i−iiiii−i−i−i−i-1-1-111-11−ii111-1-1111111-1-1-1-11-1-1ii−i−iiiii−i−i−i−i-1-1-111-11−ii
χ7111-1-1111111-1-1-1-11-1-1−i−iii−i−i−i−iiiii-1-11-111-1−ii111-1-1111111-1-1-1-11-1-1−i−iii−i−i−i−iiiii-1-11-111-1−ii111-1-1111111-1-1-1-11-1-1−i−iii−i−i−i−iiiii-1-11-111-1−ii
χ8111-1-1111111-1-1-1-11-1-1−i−iii−i−i−i−iiiii-1-1-111-11i−i111-1-1111111-1-1-1-11-1-1−i−iii−i−i−i−iiiii-1-1-111-11i−i111-1-1111111-1-1-1-11-1-1−i−iii−i−i−i−iiiii-1-1-111-11i−i
χ9222222222222222222000000000000-2-200-20000222222222222222222000000000000-2-200-20000222222222222222222000000000000-2-200-20000
χ10222-2-2222222-2-2-2-22-2-20000000000002200-20000222-2-2222222-2-2-2-22-2-20000000000002200-20000222-2-2222222-2-2-2-22-2-20000000000002200-20000
χ1122-2002222-2-20000-2002−22−222−2−222−2−22-2000000022-2002222-2-20000-2002−22−222−2−222−2−22-2000000022-2002222-2-20000-2002−22−222−2−222−2−22-20000000
χ1222-2002222-2-20000-200−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2-22000000022-2002222-2-20000-200−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2-22000000022-2002222-2-20000-200−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2-220000000
χ1322-2002222-2-20000-200i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2-22000000022-2002222-2-20000-200i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2-22000000022-2002222-2-20000-200i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2-220000000
χ1422-2002222-2-20000-200−22−22−2−222−2−2222-2000000022-2002222-2-20000-200−22−22−2−222−2−2222-2000000022-2002222-2-20000-200−22−22−2−222−2−2222-20000000
χ15444441-21-2111111-2-2-22222-1-1-1-1-1-1-1-1000000000444441-21-2111111-2-2-22222-1-1-1-1-1-1-1-1000000000444441-21-2111111-2-2-22222-1-1-1-1-1-1-1-1000000000
χ16444441-21-2111111-2-2-2-2-2-2-211111111000000000444441-21-2111111-2-2-2-2-2-2-211111111000000000444441-21-2111111-2-2-2-2-2-2-211111111000000000
χ1744444-21-21-2-2-2-2-2-211100000000000000220-1-10044444-21-21-2-2-2-2-2-211100000000000000220-1-10044444-21-21-2-2-2-2-2-211100000000000000220-1-100
χ1844444-21-21-2-2-2-2-2-211100000000000000-2-20110044444-21-21-2-2-2-2-2-211100000000000000-2-20110044444-21-21-2-2-2-2-2-211100000000000000-2-201100
χ19444-4-41-21-211-1-1-1-1-2222i2i−2i−2i−i−i−i−iiiii000000000444-4-41-21-211-1-1-1-1-2222i2i−2i−2i−i−i−i−iiiii000000000444-4-41-21-211-1-1-1-1-2222i2i−2i−2i−i−i−i−iiiii000000000
χ20444-4-41-21-211-1-1-1-1-222−2i−2i2i2iiiii−i−i−i−i000000000444-4-41-21-211-1-1-1-1-222−2i−2i2i2iiiii−i−i−i−i000000000444-4-41-21-211-1-1-1-1-222−2i−2i2i2iiiii−i−i−i−i000000000
χ21444-4-4-21-21-2-222221-1-1000000000000002-20-1100444-4-4-21-21-2-222221-1-1000000000000002-20-1100444-4-4-21-21-2-222221-1-1000000000000002-20-1100
χ22444-4-4-21-21-2-222221-1-100000000000000-2201-100444-4-4-21-21-2-222221-1-100000000000000-2201-100444-4-4-21-21-2-222221-1-100000000000000-2201-100
χ2344-4001-21-2-1-13i3i−3i−3i2002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2600000000044-4001-21-2-1-13i3i−3i−3i2002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2600000000044-4001-21-2-1-13i3i−3i−3i2002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26000000000
χ2444-4001-21-2-1-13i3i−3i−3i200−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2600000000044-4001-21-2-1-13i3i−3i−3i200−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2600000000044-4001-21-2-1-13i3i−3i−3i200−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26000000000
χ2544-4001-21-2-1-1−3i−3i3i3i200−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4600000000044-4001-21-2-1-1−3i−3i3i3i200−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4600000000044-4001-21-2-1-1−3i−3i3i3i200−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46000000000
χ2644-4001-21-2-1-1−3i−3i3i3i2002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4600000000044-4001-21-2-1-1−3i−3i3i3i2002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4600000000044-4001-21-2-1-1−3i−3i3i3i2002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46000000000
χ274-40−2i22i21-2-123i−3i−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ460−i2i20000−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ290000000004-40−2i22i21-2-123i−3i−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ460−i2i20000−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ290000000004-40−2i22i21-2-123i−3i−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ460−i2i20000−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29000000000
χ284-40−2i22i21-2-123i−3i−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ460−i2i20000ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ290000000004-40−2i22i21-2-123i−3i−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ460−i2i20000ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ290000000004-40−2i22i21-2-123i−3i−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ460−i2i20000ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29000000000
χ294-40−2i22i21-2-12−3i3i2ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ460−i2i20000ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ470000000004-40−2i22i21-2-12−3i3i2ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ460−i2i20000ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ470000000004-40−2i22i21-2-12−3i3i2ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ460−i2i20000ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47000000000
χ304-40−2i22i21-2-12−3i3i2ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ460−i2i20000−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ470000000004-40−2i22i21-2-12−3i3i2ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ460−i2i20000−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ470000000004-40−2i22i21-2-12−3i3i2ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ460−i2i20000−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47000000000
χ314-40−2i22i244-4-4002i2−2i2−2i22i202i2−2i20000000000000000000004-40−2i22i244-4-4002i2−2i2−2i22i202i2−2i20000000000000000000004-40−2i22i244-4-4002i2−2i2−2i22i202i2−2i2000000000000000000000
χ324-402i2−2i21-2-123i−3iζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ460i2−i20000−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ410000000004-402i2−2i21-2-123i−3iζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ460i2−i20000−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ410000000004-402i2−2i21-2-123i−3iζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ460i2−i20000−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41000000000
χ334-402i2−2i21-2-123i−3iζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ460i2−i20000ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ410000000004-402i2−2i21-2-123i−3iζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ460i2−i20000ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ410000000004-402i2−2i21-2-123i−3iζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ460i2−i20000ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41000000000
χ344-402i2−2i21-2-12−3i3i−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ460i2−i20000−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ430000000004-402i2−2i21-2-12−3i3i−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ460i2−i20000−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ430000000004-402i2−2i21-2-12−3i3i−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ460i2−i20000−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43000000000
χ354-402i2−2i21-2-12−3i3i−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ460i2−i20000ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ430000000004-402i2−2i21-2-12−3i3i−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ460i2−i20000ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ430000000004-402i2−2i21-2-12−3i3i−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ460i2−i20000ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43000000000
χ364-402i2−2i244-4-400−2i22i22i2−2i20−2i22i20000000000000000000004-402i2−2i244-4-400−2i22i22i2−2i20−2i22i20000000000000000000004-402i2−2i244-4-400−2i22i22i2−2i20−2i22i2000000000000000000000
χ3788-800-42-42440000-20000000000000000000000088-800-42-42440000-20000000000000000000000088-800-42-42440000-200000000000000000000000
χ388-80−4i24i2-424-200−2i22i22i2−2i20i2−i20000000000000000000008-80−4i24i2-424-200−2i22i22i2−2i20i2−i20000000000000000000008-80−4i24i2-424-200−2i22i22i2−2i20i2−i2000000000000000000000
χ398-804i2−4i2-424-2002i2−2i2−2i22i20−i2i20000000000000000000008-804i2−4i2-424-2002i2−2i2−2i22i20−i2i20000000000000000000008-804i2−4i2-424-2002i2−2i2−2i22i20−i2i2000000000000000000000
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χ4111111111111111111111111111111111-1-11-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32
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χ45111-1-1111111-1-1-1-11-1-1ii−i−iiiii−i−i−i−i-1-1-111-11−ii−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32ζ28ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ281−i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ28ζ28−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32ζ44ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ441+i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ44ζ44
χ46111-1-1111111-1-1-1-11-1-1−i−iii−i−i−i−iiiii-1-11-111-1−ii−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−ζ28−ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ281−i321−i32−1+i321−i32−1+i32−1+i321−i32−ζ28ζ28−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−ζ44−ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ441+i321+i32−1−i321+i32−1−i32−1−i321+i32−ζ44ζ44
χ47111-1-1111111-1-1-1-11-1-1−i−iii−i−i−i−iiiii-1-1-111-11i−i−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−ζ28−ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ281−i321−i321−i32−1+i32−1+i321−i32−1+i32ζ28−ζ28−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−ζ44−ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ441+i321+i321+i32−1−i32−1−i321+i32−1−i32ζ44−ζ44
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χ11588-800-42-42440000-200000000000000000000000−4−4i3−4−4i34+4i3002+2i3−1−i32+2i3−1−i3−2−2i3−2−2i300001+i300000000000000000000000−4+4i3−4+4i34−4i3002−2i3−1+i32−2i3−1+i3−2+2i3−2+2i300001−i300000000000000000000000
χ1168-80−4i24i2-424-200−2i22i22i2−2i20i2−i2000000000000000000000−4−4i34+4i304ζ14+4ζ26−4ζ14−4ζ262+2i3−1−i3−2−2i31+i3002ζ14+2ζ26−2ζ14−2ζ26−2ζ14−2ζ262ζ14+2ζ260−ζ14−ζ26ζ14+ζ26000000000000000000000−4+4i34−4i304ζ10+4ζ46−4ζ10−4ζ462−2i3−1+i3−2+2i31−i3002ζ10+2ζ46−2ζ10−2ζ46−2ζ10−2ζ462ζ10+2ζ460−ζ10−ζ46ζ10+ζ46000000000000000000000
χ1178-804i2−4i2-424-2002i2−2i2−2i22i20−i2i2000000000000000000000−4−4i34+4i30−4ζ14−4ζ264ζ14+4ζ262+2i3−1−i3−2−2i31+i300−2ζ14−2ζ262ζ14+2ζ262ζ14+2ζ26−2ζ14−2ζ260ζ14+ζ26−ζ14−ζ26000000000000000000000−4+4i34−4i30−4ζ10−4ζ464ζ10+4ζ462−2i3−1+i3−2+2i31−i300−2ζ10−2ζ462ζ10+2ζ462ζ10+2ζ46−2ζ10−2ζ460ζ10+ζ46−ζ10−ζ46000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.