Finite Group Databasebeta

← Group #88968

Character table — Group #88968

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size113366668811336666881133666688113366668811336666881133666688113366668811336666881133666688
order12224444363666121212123636661212121236366612121212363666121212123636661212121236366612121212363666121212123636661212121236
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111
χ31-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-1
χ41-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-1
χ522220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-1
χ62-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-11
χ733-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-100
χ833-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-11100
χ93-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii00
χ103-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i00
χ111111111111−1+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−i321111111111−1+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−i321111111111−1+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
χ121111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ131-11-1i−ii−i1-1−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i321-11-1i−ii−i1-1−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i321-11-1i−ii−i1-1−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32
χ141-11-1−ii−ii1-1−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i321-11-1−ii−ii1-1−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i321-11-1−ii−ii1-1−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32
χ1522220000-1-1−1+i3−1+i3−1+i3−1+i300001−i321−i32−1−i3−1−i3−1−i3−1−i300001+i321+i3222220000-1-1−1+i3−1+i3−1+i3−1+i300001−i321−i32−1−i3−1−i3−1−i3−1−i300001+i321+i3222220000-1-1−1+i3−1+i3−1+i3−1+i300001−i321−i32−1−i3−1−i3−1−i3−1−i300001+i321+i32
χ162-22-20000-11−1+i31−i3−1+i31−i300001−i32−1+i32−1−i31+i3−1−i31+i300001+i32−1−i322-22-20000-11−1+i31−i3−1+i31−i300001−i32−1+i32−1−i31+i3−1−i31+i300001+i32−1−i322-22-20000-11−1+i31−i3−1+i31−i300001−i32−1+i32−1−i31+i3−1−i31+i300001+i32−1−i32
χ1733-1-111-1-100−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i320033-1-111-1-100−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i320033-1-111-1-100−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200
χ1833-1-1-1-11100−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i320033-1-1-1-11100−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i320033-1-1-1-11100−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200
χ193-3-11i−i−ii00−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ11003-3-11i−i−ii00−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ11003-3-11i−i−ii00−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100
χ203-3-11−iii−i00−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ700−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ11003-3-11−iii−i00−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ700−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ11003-3-11−iii−i00−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ700−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100
χ211111111111−1−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+i321111111111−1−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+i321111111111−1−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
χ221111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ231-11-1i−ii−i1-1−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i321-11-1i−ii−i1-1−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i321-11-1i−ii−i1-1−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32
χ241-11-1−ii−ii1-1−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i321-11-1−ii−ii1-1−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i321-11-1−ii−ii1-1−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32
χ2522220000-1-1−1−i3−1−i3−1−i3−1−i300001+i321+i32−1+i3−1+i3−1+i3−1+i300001−i321−i3222220000-1-1−1−i3−1−i3−1−i3−1−i300001+i321+i32−1+i3−1+i3−1+i3−1+i300001−i321−i3222220000-1-1−1−i3−1−i3−1−i3−1−i300001+i321+i32−1+i3−1+i3−1+i3−1+i300001−i321−i32
χ262-22-20000-11−1−i31+i3−1−i31+i300001+i32−1−i32−1+i31−i3−1+i31−i300001−i32−1+i322-22-20000-11−1−i31+i3−1−i31+i300001+i32−1−i32−1+i31−i3−1+i31−i300001−i32−1+i322-22-20000-11−1−i31+i3−1−i31+i300001+i32−1−i32−1+i31−i3−1+i31−i300001−i32−1+i32
χ2733-1-111-1-100−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i320033-1-111-1-100−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i320033-1-111-1-100−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200
χ2833-1-1-1-11100−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i320033-1-1-1-11100−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i320033-1-1-1-11100−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200
χ293-3-11i−i−ii00−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ7003-3-11i−i−ii00−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ7003-3-11i−i−ii00−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700
χ303-3-11−iii−i00−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ7003-3-11−iii−i00−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ7003-3-11−iii−i00−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ700
χ31111111111111111111111111111111−1+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−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
χ321111-1-1-1-1111111-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ331-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-1−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32
χ341-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-1−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32
χ3522220000-1-122220000-1-122220000-1-1−1+i3−1+i3−1+i3−1+i300001−i321−i32−1+i3−1+i3−1+i3−1+i300001−i321−i32−1+i3−1+i3−1+i3−1+i300001−i321−i32−1−i3−1−i3−1−i3−1−i300001+i321+i32−1−i3−1−i3−1−i3−1−i300001+i321+i32−1−i3−1−i3−1−i3−1−i300001+i321+i32
χ362-22-20000-112-22-20000-112-22-20000-11−1+i31−i3−1+i31−i300001−i32−1+i32−1+i31−i3−1+i31−i300001−i32−1+i32−1+i31−i3−1+i31−i300001−i32−1+i32−1−i31+i3−1−i31+i300001+i32−1−i32−1−i31+i3−1−i31+i300001+i32−1−i32−1−i31+i3−1−i31+i300001+i32−1−i32
χ3733-1-111-1-10033-1-111-1-10033-1-111-1-100−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200
χ3833-1-1-1-1110033-1-1-1-1110033-1-1-1-11100−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200
χ393-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii00−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100
χ403-3-11−iii−i003-3-11−iii−i003-3-11−iii−i00−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ700−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ700−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ700−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100
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χ421111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
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χ4522220000-1-1−1+i3−1+i3−1+i3−1+i300001−i321−i32−1−i3−1−i3−1−i3−1−i300001+i321+i32−1+i3−1+i3−1+i3−1+i300001−i321−i32−1−i3−1−i3−1−i3−1−i300001+i321+i3222220000-1-1−1−i3−1−i3−1−i3−1−i300001+i321+i3222220000-1-1−1+i3−1+i3−1+i3−1+i300001−i321−i32
χ462-22-20000-11−1+i31−i3−1+i31−i300001−i32−1+i32−1−i31+i3−1−i31+i300001+i32−1−i32−1+i31−i3−1+i31−i300001−i32−1+i32−1−i31+i3−1−i31+i300001+i32−1−i322-22-20000-11−1−i31+i3−1−i31+i300001+i32−1−i322-22-20000-11−1+i31−i3−1+i31−i300001−i32−1+i32
χ4733-1-111-1-100−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i320033-1-111-1-100−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i320033-1-111-1-100−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200
χ4833-1-1-1-11100−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i320033-1-1-1-11100−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i320033-1-1-1-11100−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200
χ493-3-11i−i−ii00−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ11003-3-11i−i−ii00−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ11003-3-11i−i−ii00−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700
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χ511111111111−1−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+i321111111111−1−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+i321111111111
χ521111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321111-1-1-1-111
χ531-11-1i−ii−i1-1−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i321-11-1i−ii−i1-1−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i321-11-1i−ii−i1-1
χ541-11-1−ii−ii1-1−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i321-11-1−ii−ii1-1−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i321-11-1−ii−ii1-1
χ5522220000-1-1−1−i3−1−i3−1−i3−1−i300001+i321+i32−1+i3−1+i3−1+i3−1+i300001−i321−i32−1+i3−1+i3−1+i3−1+i300001−i321−i3222220000-1-1−1−i3−1−i3−1−i3−1−i300001+i321+i32−1−i3−1−i3−1−i3−1−i300001+i321+i32−1+i3−1+i3−1+i3−1+i300001−i321−i3222220000-1-1
χ562-22-20000-11−1−i31+i3−1−i31+i300001+i32−1−i32−1+i31−i3−1+i31−i300001−i32−1+i32−1+i31−i3−1+i31−i300001−i32−1+i322-22-20000-11−1−i31+i3−1−i31+i300001+i32−1−i32−1−i31+i3−1−i31+i300001+i32−1−i32−1+i31−i3−1+i31−i300001−i32−1+i322-22-20000-11
χ5733-1-111-1-100−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i320033-1-111-1-100−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i320033-1-111-1-100
χ5833-1-1-1-11100−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i320033-1-1-1-11100−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i320033-1-1-1-11100
χ593-3-11i−i−ii00−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ7003-3-11i−i−ii00−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ7003-3-11i−i−ii00
χ603-3-11−iii−i00−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ700−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ7003-3-11−iii−i00−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ7003-3-11−iii−i00
χ61111111111111111111111111111111−1−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+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
χ621111-1-1-1-1111111-1-1-1-1111111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ631-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-1−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32
χ641-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-1−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32
χ6522220000-1-122220000-1-122220000-1-1−1−i3−1−i3−1−i3−1−i300001+i321+i32−1−i3−1−i3−1−i3−1−i300001+i321+i32−1−i3−1−i3−1−i3−1−i300001+i321+i32−1+i3−1+i3−1+i3−1+i300001−i321−i32−1+i3−1+i3−1+i3−1+i300001−i321−i32−1+i3−1+i3−1+i3−1+i300001−i321−i32
χ662-22-20000-112-22-20000-112-22-20000-11−1−i31+i3−1−i31+i300001+i32−1−i32−1−i31+i3−1−i31+i300001+i32−1−i32−1−i31+i3−1−i31+i300001+i32−1−i32−1+i31−i3−1+i31−i300001−i32−1+i32−1+i31−i3−1+i31−i300001−i32−1+i32−1+i31−i3−1+i31−i300001−i32−1+i32
χ6733-1-111-1-10033-1-111-1-10033-1-111-1-100−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200
χ6833-1-1-1-1110033-1-1-1-1110033-1-1-1-11100−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200
χ693-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii00−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700
χ703-3-11−iii−i003-3-11−iii−i003-3-11−iii−i00−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ700−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ700−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ700
χ711111111111−1+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−i321111111111−1+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−i321111111111
χ721111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321111-1-1-1-111
χ731-11-1i−ii−i1-1−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i321-11-1i−ii−i1-1−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i321-11-1i−ii−i1-1
χ741-11-1−ii−ii1-1−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i321-11-1−ii−ii1-1−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i321-11-1−ii−ii1-1
χ7522220000-1-1−1+i3−1+i3−1+i3−1+i300001−i321−i32−1−i3−1−i3−1−i3−1−i300001+i321+i32−1−i3−1−i3−1−i3−1−i300001+i321+i3222220000-1-1−1+i3−1+i3−1+i3−1+i300001−i321−i32−1+i3−1+i3−1+i3−1+i300001−i321−i32−1−i3−1−i3−1−i3−1−i300001+i321+i3222220000-1-1
χ762-22-20000-11−1+i31−i3−1+i31−i300001−i32−1+i32−1−i31+i3−1−i31+i300001+i32−1−i32−1−i31+i3−1−i31+i300001+i32−1−i322-22-20000-11−1+i31−i3−1+i31−i300001−i32−1+i32−1+i31−i3−1+i31−i300001−i32−1+i32−1−i31+i3−1−i31+i300001+i32−1−i322-22-20000-11
χ7733-1-111-1-100−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i320033-1-111-1-100−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i320033-1-111-1-100
χ7833-1-1-1-11100−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i320033-1-1-1-11100−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i320033-1-1-1-11100
χ793-3-11i−i−ii00−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ11003-3-11i−i−ii00−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ11003-3-11i−i−ii00
χ803-3-11−iii−i00−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ700−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ11003-3-11−iii−i00−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ700−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ700−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ11003-3-11−iii−i00
χ811111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ821111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ831-11-1i−ii−i1-1−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i321-11-1i−ii−i1-1−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i321-11-1i−ii−i1-1−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32
χ841-11-1−ii−ii1-1−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i321-11-1−ii−ii1-1−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i321-11-1−ii−ii1-1−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32
χ8522220000-1-1−1−i3−1−i3−1−i3−1−i300001+i321+i32−1+i3−1+i3−1+i3−1+i300001−i321−i32−1−i3−1−i3−1−i3−1−i300001+i321+i32−1+i3−1+i3−1+i3−1+i300001−i321−i3222220000-1-1−1+i3−1+i3−1+i3−1+i300001−i321−i3222220000-1-1−1−i3−1−i3−1−i3−1−i300001+i321+i32
χ862-22-20000-11−1−i31+i3−1−i31+i300001+i32−1−i32−1+i31−i3−1+i31−i300001−i32−1+i32−1−i31+i3−1−i31+i300001+i32−1−i32−1+i31−i3−1+i31−i300001−i32−1+i322-22-20000-11−1+i31−i3−1+i31−i300001−i32−1+i322-22-20000-11−1−i31+i3−1−i31+i300001+i32−1−i32
χ8733-1-111-1-100−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i320033-1-111-1-100−3+3i32−3+3i321−i321−i32−1+i32−1+i321−i321−i320033-1-111-1-100−3−3i32−3−3i321+i321+i32−1−i32−1−i321+i321+i3200
χ8833-1-1-1-11100−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i320033-1-1-1-11100−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i320033-1-1-1-11100−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i3200
χ893-3-11i−i−ii00−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ700−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ7003-3-11i−i−ii00−3+3i323−3i321−i32−1+i32ζ7−ζ7−ζ7ζ7003-3-11i−i−ii00−3−3i323+3i321+i32−1−i32ζ11−ζ11−ζ11ζ1100
χ903-3-11−iii−i00−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ700−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ7003-3-11−iii−i00−3+3i323−3i321−i32−1+i32−ζ7ζ7ζ7−ζ7003-3-11−iii−i00−3−3i323+3i321+i32−1−i32−ζ11ζ11ζ11−ζ1100

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