Finite Group Databasebeta

← Group #11796452

Character table — Group #11796452

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size112224444448888888812122424241122244444488888888121224242411222444444888888881212242424112224444448888888812122424241122244444488888888121224242411222444444888888881212242424
order122364446121288121224242424442883663612121261212242412122424242412126242436636121212612122424121224242424121262424222664446121288121224242424442886666612121261212242412122424242412126242466666121212612122424121224242424121262424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-1
χ311111111111-1-111-1-1-1-1111-1-111111111111-1-111-1-1-1-1111-1-111111111111-1-111-1-1-1-1111-1-111111111111-1-111-1-1-1-1111-1-111111111111-1-111-1-1-1-1111-1-111111111111-1-111-1-1-1-1111-1-1
χ411111111111-1-111-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-111
χ5111111-1-11-1-1i−i1-1ii−i−i11-1i−i111111-1-11-1-1i−i1-1ii−i−i11-1i−i111111-1-11-1-1i−i1-1ii−i−i11-1i−i111111-1-11-1-1i−i1-1ii−i−i11-1i−i111111-1-11-1-1i−i1-1ii−i−i11-1i−i111111-1-11-1-1i−i1-1ii−i−i11-1i−i
χ6111111-1-11-1-1i−i1-1ii−i−i-1-11−ii111111-1-11-1-1i−i1-1ii−i−i-1-11−ii111111-1-11-1-1i−i1-1ii−i−i-1-11−ii111111-1-11-1-1i−i1-1ii−i−i-1-11−ii111111-1-11-1-1i−i1-1ii−i−i-1-11−ii111111-1-11-1-1i−i1-1ii−i−i-1-11−ii
χ7111111-1-11-1-1−ii1-1−i−iii11-1−ii111111-1-11-1-1−ii1-1−i−iii11-1−ii111111-1-11-1-1−ii1-1−i−iii11-1−ii111111-1-11-1-1−ii1-1−i−iii11-1−ii111111-1-11-1-1−ii1-1−i−iii11-1−ii111111-1-11-1-1−ii1-1−i−iii11-1−ii
χ8111111-1-11-1-1−ii1-1−i−iii-1-11i−i111111-1-11-1-1−ii1-1−i−iii-1-11i−i111111-1-11-1-1−ii1-1−i−iii-1-11i−i111111-1-11-1-1−ii1-1−i−iii-1-11i−i111111-1-11-1-1−ii1-1−i−iii-1-11i−i111111-1-11-1-1−ii1-1−i−iii-1-11i−i
χ922222-22-222200-2-200000000022222-22-222200-2-200000000022222-22-222200-2-200000000022222-22-222200-2-200000000022222-22-222200-2-200000000022222-22-222200-2-2000000000
χ1022222-2-222-2-200-2200000000022222-2-222-2-200-2200000000022222-2-222-2-200-2200000000022222-2-222-2-200-2200000000022222-2-222-2-200-2200000000022222-2-222-2-200-22000000000
χ11222-1-1222-1-1-122-1-1-1-1-1-100000222-1-1222-1-1-122-1-1-1-1-1-100000222-1-1222-1-1-122-1-1-1-1-1-100000222-1-1222-1-1-122-1-1-1-1-1-100000222-1-1222-1-1-122-1-1-1-1-1-100000222-1-1222-1-1-122-1-1-1-1-1-100000
χ12222-1-1222-1-1-1-2-2-1-1111100000222-1-1222-1-1-1-2-2-1-1111100000222-1-1222-1-1-1-2-2-1-1111100000222-1-1222-1-1-1-2-2-1-1111100000222-1-1222-1-1-1-2-2-1-1111100000222-1-1222-1-1-1-2-2-1-1111100000
χ13222-1-12-2-2-1112i−2i-11−i−iii00000222-1-12-2-2-1112i−2i-11−i−iii00000222-1-12-2-2-1112i−2i-11−i−iii00000222-1-12-2-2-1112i−2i-11−i−iii00000222-1-12-2-2-1112i−2i-11−i−iii00000222-1-12-2-2-1112i−2i-11−i−iii00000
χ14222-1-12-2-2-111−2i2i-11ii−i−i00000222-1-12-2-2-111−2i2i-11ii−i−i00000222-1-12-2-2-111−2i2i-11ii−i−i00000222-1-12-2-2-111−2i2i-11ii−i−i00000222-1-12-2-2-111−2i2i-11ii−i−i00000222-1-12-2-2-111−2i2i-11ii−i−i00000
χ15222-1-1-22-2-1-1-10011−i3i3−i3i300000222-1-1-22-2-1-1-10011−i3i3−i3i300000222-1-1-22-2-1-1-10011−i3i3−i3i300000222-1-1-22-2-1-1-10011−i3i3−i3i300000222-1-1-22-2-1-1-10011−i3i3−i3i300000222-1-1-22-2-1-1-10011−i3i3−i3i300000
χ16222-1-1-22-2-1-1-10011i3−i3i3−i300000222-1-1-22-2-1-1-10011i3−i3i3−i300000222-1-1-22-2-1-1-10011i3−i3i3−i300000222-1-1-22-2-1-1-10011i3−i3i3−i300000222-1-1-22-2-1-1-10011i3−i3i3−i300000222-1-1-22-2-1-1-10011i3−i3i3−i300000
χ17222-1-1-2-22-111001-13−3−3300000222-1-1-2-22-111001-13−3−3300000222-1-1-2-22-111001-13−3−3300000222-1-1-2-22-111001-13−3−3300000222-1-1-2-22-111001-13−3−3300000222-1-1-2-22-111001-13−3−3300000
χ18222-1-1-2-22-111001-1−333−300000222-1-1-2-22-111001-1−333−300000222-1-1-2-22-111001-1−333−300000222-1-1-2-22-111001-1−333−300000222-1-1-2-22-111001-1−333−300000222-1-1-2-22-111001-1−333−300000
χ1944-444000-400000000000000044-444000-400000000000000044-444000-400000000000000044-444000-400000000000000044-444000-400000000000000044-444000-4000000000000000
χ2044-4-2-20002−2i32i3000000000000044-4-2-20002−2i32i3000000000000044-4-2-20002−2i32i3000000000000044-4-2-20002−2i32i3000000000000044-4-2-20002−2i32i3000000000000044-4-2-20002−2i32i30000000000000
χ2144-4-2-200022i3−2i3000000000000044-4-2-200022i3−2i3000000000000044-4-2-200022i3−2i3000000000000044-4-2-200022i3−2i3000000000000044-4-2-200022i3−2i3000000000000044-4-2-200022i3−2i30000000000000
χ224-404-4000000000000002i−2i0004-404-4000000000000002i−2i0004-404-4000000000000002i−2i0004-404-4000000000000002i−2i0004-404-4000000000000002i−2i0004-404-4000000000000002i−2i000
χ234-404-400000000000000−2i2i0004-404-400000000000000−2i2i0004-404-400000000000000−2i2i0004-404-400000000000000−2i2i0004-404-400000000000000−2i2i0004-404-400000000000000−2i2i000
χ248-80-4400000000000000000008-80-4400000000000000000008-80-4400000000000000000008-80-4400000000000000000008-80-4400000000000000000008-80-440000000000000000000
χ25111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ261111111111111111111-1-1-1-1-1−1+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+i321−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−i321+i321+i321+i321+i321+i321111111111111111111-1-1-1-1-1−1+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+i321−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−i321+i321+i321+i321+i321+i32
χ2711111111111-1-111-1-1-1-1111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i3211111111111-1-111-1-1-1-1111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ2811111111111-1-111-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i3211111111111-1-111-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ29111111-1-11-1-1i−i1-1ii−i−i11-1i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11111111-1-11-1-1i−i1-1ii−i−i11-1i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11
χ30111111-1-11-1-1i−i1-1ii−i−i-1-11−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−ζ11ζ11111111-1-11-1-1i−i1-1ii−i−i-1-11−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−ζ11ζ11
χ31111111-1-11-1-1−ii1-1−i−iii11-1−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11111111-1-11-1-1−ii1-1−i−iii11-1−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11
χ32111111-1-11-1-1−ii1-1−i−iii-1-11i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ71−i321−i32−1+i32ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ111+i321+i32−1−i32ζ11−ζ11111111-1-11-1-1−ii1-1−i−iii-1-11i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ71−i321−i32−1+i32ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ111+i321+i32−1−i32ζ11−ζ11
χ3322222-22-222200-2-2000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3001−i31−i3000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3001+i31+i300000000022222-22-222200-2-2000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3001−i31−i3000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3001+i31+i3000000000
χ3422222-2-222-2-200-22000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3001−i3−1+i3000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3001+i3−1−i300000000022222-2-222-2-200-22000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3001−i3−1+i3000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3001+i3−1−i3000000000
χ35222-1-1222-1-1-122-1-1-1-1-1-100000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000222-1-1222-1-1-122-1-1-1-1-1-100000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000
χ36222-1-1222-1-1-1-2-2-1-1111100000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200000222-1-1222-1-1-1-2-2-1-1111100000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200000
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χ9911111111111-1-111-1-1-1-1111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1111−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ10011111111111-1-111-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
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χ102111111-1-11-1-1i−i1-1ii−i−i-1-11−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−ζ11ζ11-1-1-1-1-1-111-111−ii-11−i−iii11-1i−i1−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−ζ7ζ71−i32−1+i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i32ζ7−ζ71+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−ζ11ζ111+i32−1−i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i32ζ11−ζ11
χ103111111-1-11-1-1−ii1-1−i−iii11-1−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11-1-1-1-1-1-111-111i−i-11ii−i−i-1-11i−i1−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32ζ7−ζ71−i32−1+i32ζ7ζ7−ζ7−ζ71−i321−i32−1+i32ζ7−ζ71+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32ζ11−ζ111+i32−1−i32ζ11ζ11−ζ11−ζ111+i321+i32−1−i32ζ11−ζ11
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χ10522222-22-222200-2-2000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3001−i31−i3000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3001+i31+i3000000000-2-2-2-2-22-22-2-2-200220000000001−i31−i31−i31−i31−i3−1+i31−i3−1+i31−i31−i31−i300−1+i3−1+i30000000001+i31+i31+i31+i31+i3−1−i31+i3−1−i31+i31+i31+i300−1−i3−1−i3000000000
χ10622222-2-222-2-200-22000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3001−i3−1+i3000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3001+i3−1−i3000000000-2-2-2-2-222-2-222002-20000000001−i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i30000000001+i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i3000000000
χ107222-1-1222-1-1-122-1-1-1-1-1-100000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000-2-2-211-2-2-2111-2-2111111000001−i31−i31−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000001+i31+i31+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000
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χ1208-80-440000000000000000000−4+4i34−4i302−2i3−2+2i30000000000000000000−4−4i34+4i302+2i3−2−2i30000000000000000000-8804-400000000000000000004−4i3−4+4i30−2+2i32−2i300000000000000000004+4i3−4−4i30−2−2i32+2i30000000000000000000
χ121111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ1221111111111111111111-1-1-1-1-1−1−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−i321+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+i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ12311111111111-1-111-1-1-1-1111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+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+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32
χ12411111111111-1-111-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ125111111-1-11-1-1i−i1-1ii−i−i11-1i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7-1-1-1-1-1-111-111−ii-11−i−iii-1-11−ii1+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−ζ11ζ111+i32−1−i32−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−ζ11ζ111−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−ζ7ζ71−i32−1+i32−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−ζ7ζ7
χ126111111-1-11-1-1i−i1-1ii−i−i-1-11−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−ζ7ζ7-1-1-1-1-1-111-111−ii-11−i−iii11-1i−i1+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−ζ11ζ111+i32−1−i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i32ζ11−ζ111−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−ζ7ζ71−i32−1+i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i32ζ7−ζ7
χ127111111-1-11-1-1−ii1-1−i−iii11-1−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7-1-1-1-1-1-111-111i−i-11ii−i−i-1-11i−i1+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32ζ11−ζ111+i32−1−i32ζ11ζ11−ζ11−ζ111+i321+i32−1−i32ζ11−ζ111−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32ζ7−ζ71−i32−1+i32ζ7ζ7−ζ7−ζ71−i321−i32−1+i32ζ7−ζ7
χ128111111-1-11-1-1−ii1-1−i−iii-1-11i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ111+i321+i32−1−i32ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ71−i321−i32−1+i32ζ7−ζ7-1-1-1-1-1-111-111i−i-11ii−i−i11-1−ii1+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32ζ11−ζ111+i32−1−i32ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i32−ζ11ζ111−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32ζ7−ζ71−i32−1+i32ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i32−ζ7ζ7
χ12922222-22-222200-2-2000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3001+i31+i3000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3001−i31−i3000000000-2-2-2-2-22-22-2-2-200220000000001+i31+i31+i31+i31+i3−1−i31+i3−1−i31+i31+i31+i300−1−i3−1−i30000000001−i31−i31−i31−i31−i3−1+i31−i3−1+i31−i31−i31−i300−1+i3−1+i3000000000
χ13022222-2-222-2-200-22000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3001+i3−1−i3000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3001−i3−1+i3000000000-2-2-2-2-222-2-222002-20000000001+i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i30000000001−i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i3000000000
χ131222-1-1222-1-1-122-1-1-1-1-1-100000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000-2-2-211-2-2-2111-2-2111111000001+i31+i31+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000001−i31−i31−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000
χ132222-1-1222-1-1-1-2-2-1-1111100000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200000-2-2-211-2-2-21112211-1-1-1-1000001+i31+i31+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i3−1−i3−1−i32−1−i321+i321+i321+i321+i32000001−i31−i31−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i3200000
χ133222-1-12-2-2-1112i−2i-11−i−iii00000−1−i3−1−i3−1−i31+i321+i32−1−i31+i31+i31+i32−1−i32−1−i322ζ11−2ζ111+i32−1−i32−ζ11−ζ11ζ11ζ1100000−1+i3−1+i3−1+i31−i321−i32−1+i31−i31−i31−i32−1+i32−1+i322ζ7−2ζ71−i32−1+i32−ζ7−ζ7ζ7ζ700000-2-2-211-2221-1-1−2i2i1-1ii−i−i000001+i31+i31+i3−1−i32−1−i321+i3−1−i3−1−i3−1−i321+i321+i32−2ζ112ζ11−1−i321+i32ζ11ζ11−ζ11−ζ11000001−i31−i31−i3−1+i32−1+i321−i3−1+i3−1+i3−1+i321−i321−i32−2ζ72ζ7−1+i321−i32ζ7ζ7−ζ7−ζ700000
χ134222-1-12-2-2-111−2i2i-11ii−i−i00000−1−i3−1−i3−1−i31+i321+i32−1−i31+i31+i31+i32−1−i32−1−i32−2ζ112ζ111+i32−1−i32ζ11ζ11−ζ11−ζ1100000−1+i3−1+i3−1+i31−i321−i32−1+i31−i31−i31−i32−1+i32−1+i32−2ζ72ζ71−i32−1+i32ζ7ζ7−ζ7−ζ700000-2-2-211-2221-1-12i−2i1-1−i−iii000001+i31+i31+i3−1−i32−1−i321+i3−1−i3−1−i3−1−i321+i321+i322ζ11−2ζ11−1−i321+i32−ζ11−ζ11ζ11ζ11000001−i31−i31−i3−1+i32−1+i321−i3−1+i3−1+i3−1+i321−i321−i322ζ7−2ζ7−1+i321−i32−ζ7−ζ7ζ7ζ700000
χ135222-1-1-22-2-1-1-10011−i3i3−i3i300000−1−i3−1−i3−1−i31+i321+i321+i3−1−i31+i31+i321+i321+i3200−1−i32−1−i32−3+i323−i32−3+i323−i3200000−1+i3−1+i3−1+i31−i321−i321−i3−1+i31−i31−i321−i321−i3200−1+i32−1+i323+i32−3−i323+i32−3−i3200000-2-2-2112-2211100-1-1i3−i3i3−i3000001+i31+i31+i3−1−i32−1−i32−1−i31+i3−1−i3−1−i32−1−i32−1−i32001+i321+i323−i32−3+i323−i32−3+i32000001−i31−i31−i3−1+i32−1+i32−1+i31−i3−1+i3−1+i32−1+i32−1+i32001−i321−i32−3−i323+i32−3−i323+i3200000
χ136222-1-1-22-2-1-1-10011i3−i3i3−i300000−1−i3−1−i3−1−i31+i321+i321+i3−1−i31+i31+i321+i321+i3200−1−i32−1−i323−i32−3+i323−i32−3+i3200000−1+i3−1+i3−1+i31−i321−i321−i3−1+i31−i31−i321−i321−i3200−1+i32−1+i32−3−i323+i32−3−i323+i3200000-2-2-2112-2211100-1-1−i3i3−i3i3000001+i31+i31+i3−1−i32−1−i32−1−i31+i3−1−i3−1−i32−1−i32−1−i32001+i321+i32−3+i323−i32−3+i323−i32000001−i31−i31−i3−1+i32−1+i32−1+i31−i3−1+i3−1+i32−1+i32−1+i32001−i321−i323+i32−3−i323+i32−3−i3200000
χ137222-1-1-2-22-111001-13−3−3300000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i31+i32−1−i32−1−i3200−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i31−i32−1+i32−1+i3200−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000-2-2-21122-21-1-100-11−333−3000001+i31+i31+i3−1−i32−1−i32−1−i3−1−i31+i3−1−i321+i321+i32001+i32−1−i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000001−i31−i31−i3−1+i32−1+i32−1+i3−1+i31−i3−1+i321−i321−i32001−i32−1+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000
χ138222-1-1-2-22-111001-1−333−300000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i31+i32−1−i32−1−i3200−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i31−i32−1+i32−1+i3200−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000-2-2-21122-21-1-100-113−3−33000001+i31+i31+i3−1−i32−1−i32−1−i3−1−i31+i3−1−i321+i321+i32001+i32−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000001−i31−i31−i3−1+i32−1+i32−1+i3−1+i31−i3−1+i321−i321−i32001−i32−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000
χ13944-444000-4000000000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i30002+2i3000000000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i30002−2i3000000000000000-4-44-4-400040000000000000002+2i32+2i3−2−2i32+2i32+2i3000−2−2i30000000000000002−2i32−2i3−2+2i32−2i32−2i3000−2+2i3000000000000000
χ14044-4-2-20002−2i32i30000000000000−2−2i3−2−2i32+2i31+i31+i3000−1−i3−3+i33−i30000000000000−2+2i3−2+2i32−2i31−i31−i3000−1+i33+i3−3−i30000000000000-4-4422000-22i3−2i300000000000002+2i32+2i3−2−2i3−1−i3−1−i30001+i33−i3−3+i300000000000002−2i32−2i3−2+2i3−1+i3−1+i30001−i3−3−i33+i30000000000000
χ14144-4-2-200022i3−2i30000000000000−2−2i3−2−2i32+2i31+i31+i3000−1−i33−i3−3+i30000000000000−2+2i3−2+2i32−2i31−i31−i3000−1+i3−3−i33+i30000000000000-4-4422000-2−2i32i300000000000002+2i32+2i3−2−2i3−1−i3−1−i30001+i3−3+i33−i300000000000002−2i32−2i3−2+2i3−1+i3−1+i30001−i33+i3−3−i30000000000000
χ1424-404-4000000000000002i−2i000−2−2i32+2i30−2−2i32+2i3000000000000002ζ11−2ζ11000−2+2i32−2i30−2+2i32−2i3000000000000002ζ7−2ζ7000-440-4400000000000000−2i2i0002+2i3−2−2i302+2i3−2−2i300000000000000−2ζ112ζ110002−2i3−2+2i302−2i3−2+2i300000000000000−2ζ72ζ7000
χ1434-404-400000000000000−2i2i000−2−2i32+2i30−2−2i32+2i300000000000000−2ζ112ζ11000−2+2i32−2i30−2+2i32−2i300000000000000−2ζ72ζ7000-440-44000000000000002i−2i0002+2i3−2−2i302+2i3−2−2i3000000000000002ζ11−2ζ110002−2i3−2+2i302−2i3−2+2i3000000000000002ζ7−2ζ7000
χ1448-80-440000000000000000000−4−4i34+4i302+2i3−2−2i30000000000000000000−4+4i34−4i302−2i3−2+2i30000000000000000000-8804-400000000000000000004+4i3−4−4i30−2−2i32+2i300000000000000000004−4i3−4+4i30−2+2i32−2i30000000000000000000

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