Finite Group Databasebeta

← Group #13135761

Character table — Group #13135761

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137
size11111111111122222222222244444444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272
order122233666666444412121212121212124888812122424242424242424333366666666666612121212121212121212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424888824242424242424244412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111-1-1-1-1-1-1-1-1-1-1-1-11ii−i−i11iiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iiiii−i−i−i−i1-111-1-1
χ6111111111111-1-1-1-1-1-1-1-1-1-1-1-11ii−i−i11iiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i−i−iiiii-11-1-111
χ7111111111111-1-1-1-1-1-1-1-1-1-1-1-11−i−iii11−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−iiiii−i−i−i−i-11-1-111
χ8111111111111-1-1-1-1-1-1-1-1-1-1-1-11−i−iii11−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−iii−i−i−i−iiiii1-111-1-1
χ92222222222222222222222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ10222222222222222222222222222222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ11222222222222222222222222222222222222222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000
χ12222222222222222222222222222222222222222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000
χ132222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000
χ142222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000
χ152222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000
χ162222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2000000000000000000
χ1722222222222222-2-22222-2-2-2-2-20000-2-20000000022222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000
χ1822222222222222-2-22222-2-2-2-2-20000-2-2000000002-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-21111110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000
χ1922222222222222-2-22222-2-2-2-2-20000-2-2000000002-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-21111110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000
χ2022222222222222-2-22222-2-2-2-2-20000-2-200000000-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111-2-2111111-2-21111−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3000000000000000000
χ2122222222222222-2-22222-2-2-2-2-20000-2-200000000-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111-2-2111111-2-21111i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3000000000000000000
χ2222222222222222-2-22222-2-2-2-2-20000-2-200000000-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-11111-2-2111111-2-211−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3000000000000000000
χ2322222222222222-2-22222-2-2-2-2-20000-2-200000000-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-11111-2-2111111-2-211i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3000000000000000000
χ2422222222222222-2-22222-2-2-2-2-20000-2-200000000-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222111111-2-2111111-2-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000000000
χ2522222222222222-2-22222-2-2-2-2-20000-2-200000000-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222111111-2-2111111-2-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000000000
χ26222222222222-2-222-2-2-2-22222-20000-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000
χ27222222222222-2-222-2-2-2-22222-20000-2-2000000002-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-211111122-1-1-1-1-1-1000033−3−333−3−333−3−30000−3−333−3−333−3−333000000000000000000
χ28222222222222-2-222-2-2-2-22222-20000-2-2000000002-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-211111122-1-1-1-1-1-10000−3−333−3−333−3−333000033−3−333−3−333−3−3000000000000000000
χ29222222222222-2-222-2-2-2-22222-20000-2-200000000-12-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-21111111111-2-21111-1-122-1-1-1-133−3−3000033−3−3−3−333−3−3330000−3−33333−3−3000000000000000000
χ30222222222222-2-222-2-2-2-22222-20000-2-200000000-12-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-21111111111-2-21111-1-122-1-1-1-1−3−3330000−3−33333−3−333−3−3000033−3−3−3−333000000000000000000
χ31222222222222-2-222-2-2-2-22222-20000-2-200000000-1-12-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-211111111-2-211-1-1-1-122-1-133−3−3−3−333000033−3−3−3−33333−3−30000−3−333000000000000000000
χ32222222222222-2-222-2-2-2-22222-20000-2-200000000-1-12-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-211111111-2-211-1-1-1-122-1-1−3−33333−3−30000−3−33333−3−3−3−333000033−3−3000000000000000000
χ33222222222222-2-222-2-2-2-22222-20000-2-200000000-1-1-12-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2111111-2-2-1-1-1-1-1-12233−3−333−3−3−3−3330000−3−333−3−33333−3−30000000000000000000000
χ34222222222222-2-222-2-2-2-22222-20000-2-200000000-1-1-12-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2111111-2-2-1-1-1-1-1-122−3−333−3−33333−3−3000033−3−333−3−3−3−3330000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-222i2i−2i−2i222i2i2i2i−2i−2i−2i−2i2-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-1-1-1-1-1-1-2-21111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-222i2i−2i−2i222i2i2i2i−2i−2i−2i−2i-12-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-211111111-1-122-1-1-1-111-2-21111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii000000000000000000
χ37222222222222-2-2-2-2-2-2-2-2-2-2-2-222i2i−2i−2i222i2i2i2i−2i−2i−2i−2i-1-12-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-21111-1-1-1-122-1-11111-2-211−i−i−i−i−i−i−i−i2i2i2i2i−i−i−i−iiiiiiiii−2i−2i−2i−2iiiii000000000000000000
χ38222222222222-2-2-2-2-2-2-2-2-2-2-2-222i2i−2i−2i222i2i2i2i−2i−2i−2i−2i-1-1-12-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2-1-1-1-1-1-122111111-2-2−i−i−i−i−i−i−i−i−i−i−i−i2i2i2i2iiiiiiiiiiiii−2i−2i−2i−2i000000000000000000
χ39222222222222-2-2-2-2-2-2-2-2-2-2-2-22−2i−2i2i2i22−2i−2i−2i−2i2i2i2i2i2-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-1-1-1-1-1-1-2-2111111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i000000000000000000
χ40222222222222-2-2-2-2-2-2-2-2-2-2-2-22−2i−2i2i2i22−2i−2i−2i−2i2i2i2i2i-12-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-211111111-1-122-1-1-1-111-2-21111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i000000000000000000
χ41222222222222-2-2-2-2-2-2-2-2-2-2-2-22−2i−2i2i2i22−2i−2i−2i−2i2i2i2i2i-1-12-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-21111-1-1-1-122-1-11111-2-211iiiiiiii−2i−2i−2i−2iiiii−i−i−i−i−i−i−i−i2i2i2i2i−i−i−i−i000000000000000000
χ42222222222222-2-2-2-2-2-2-2-2-2-2-2-22−2i−2i2i2i22−2i−2i−2i−2i2i2i2i2i-1-1-12-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2-1-1-1-1-1-122111111-2-2iiiiiiiiiiii−2i−2i−2i−2i−i−i−i−i−i−i−i−i−i−i−i−i2i2i2i2i000000000000000000
χ432-22-222-2-222-2-2002i−2i00002i2i−2i−2i01+i−1−i1−i−1+i001+i1+i−1−i−1−i1−i1−i−1+i−1+i22222-2-22-2-22-2-22-2-20000000000000000000000002i−2i2i−2i2i−2i2i−2i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000000000000000
χ442-22-222-2-222-2-2002i−2i00002i2i−2i−2i01+i−1−i1−i−1+i001+i1+i−1−i−1−i1−i1−i−1+i−1+i2-1-1-12-2-2-111-111-1110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3003−33−33−32i−2i−ii−ii−ii1+i−1−i1+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ111−i−1+i1−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11000000000000000000
χ452-22-222-2-222-2-2002i−2i00002i2i−2i−2i01+i−1−i1−i−1+i001+i1+i−1−i−1−i1−i1−i−1+i−1+i2-1-1-12-2-2-111-111-1110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300−33−33−332i−2i−ii−ii−ii1+i−1−i1+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ71−i−1+i1−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7000000000000000000
χ462-22-222-2-222-2-2002i−2i00002i2i−2i−2i01+i−1−i1−i−1+i001+i1+i−1−i−1−i1−i1−i−1+i−1+i-12-1-1-1112-2-2-111-111−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i33−3003−3−33−ii2i−2i−ii−ii−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ111+i−1−i1+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ111−i−1+i1−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7000000000000000000
χ472-22-222-2-222-2-2002i−2i00002i2i−2i−2i01+i−1−i1−i−1+i001+i1+i−1−i−1−i1−i1−i−1+i−1+i-12-1-1-1112-2-2-111-111i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3−3300−333−3−ii2i−2i−ii−ii−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ71+i−1−i1+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ71−i−1+i1−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11000000000000000000
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χ1266-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300−6i6i0000−6ζ7−6ζ116ζ76ζ1103−3i−3+3i3+3i−3−3i00−3ζ7−3ζ10−3ζ2−3ζ113ζ7+3ζ103ζ2+3ζ113ζ7−3ζ10−3ζ2+3ζ11−3ζ7+3ζ103ζ2−3ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1276-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300−6i6i0000−6ζ7−6ζ116ζ76ζ110−3+3i3−3i−3−3i3+3i003ζ7+3ζ103ζ2+3ζ11−3ζ7−3ζ10−3ζ2−3ζ11−3ζ7+3ζ103ζ2−3ζ113ζ7−3ζ10−3ζ2+3ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1286-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36i−6i006ζ116ζ7−6ζ11−6ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001−i−1+i1+i−1−i−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10000000
χ1296-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36i−6i006ζ116ζ7−6ζ11−6ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−1+i1−i−1−i1+iζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10ζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10000000
χ1306-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−6i6i00−6ζ11−6ζ76ζ116ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001+i−1−i1−i−1+i−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10000000
χ1316-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−6i6i00−6ζ11−6ζ76ζ116ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−1−i1+i−1+i1−iζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10ζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10000000
χ1326-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36i−6i006ζ76ζ11−6ζ7−6ζ110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001−i−1+i1+i−1−i−ζ7−ζ10−ζ2−ζ11ζ7+ζ10ζ2+ζ11ζ7−ζ10−ζ2+ζ11−ζ7+ζ10ζ2−ζ11000000
χ1336-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36i−6i006ζ76ζ11−6ζ7−6ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−1+i1−i−1−i1+iζ7+ζ10ζ2+ζ11−ζ7−ζ10−ζ2−ζ11−ζ7+ζ10ζ2−ζ11ζ7−ζ10−ζ2+ζ11000000
χ1346-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−6i6i00−6ζ7−6ζ116ζ76ζ110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001+i−1−i1−i−1+iζ7−ζ10−ζ2+ζ11−ζ7+ζ10ζ2−ζ11−ζ7−ζ10−ζ2−ζ11ζ7+ζ10ζ2+ζ11000000
χ1356-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−6i6i00−6ζ7−6ζ116ζ76ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−1−i1+i−1+i1−i−ζ7+ζ10ζ2−ζ11ζ7−ζ10−ζ2+ζ11ζ7+ζ10ζ2+ζ11−ζ7−ζ10−ζ2−ζ11000000
χ1361212-12-12−6−6i3−6+6i3−6−6i3−6+6i36+6i36−6i36+6i36−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1371212-12-12−6+6i3−6−6i3−6+6i3−6−6i36−6i36+6i36−6i36+6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.