Finite Group Databasebeta

← Group #72342105

Character table — Group #72342105

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1122244446688812121212121212161616161616161616162424242424242424323232323232323232323232484848646464646464646411222444466888121212121212121616161616161616161624242424242424243232323232323232323232324848486464646464646464
order1248822222448822224482233666666224444881212121224242424242424244486666666622488222224488222244822666666662244448812121212242424242424242444866666666
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ311111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ41111111-1-11111111-1-1111-1-111111111-1-1-1-11111111111111111-1-11-1-1-1-1-1-1-1-11111111-1-11111111-1-1111-1-111111111-1-1-1-11111111111111111-1-11-1-1-1-1-1-1-1-1
χ51111111-1-11111111-1-1111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-111+i321+i321+i321+i321−i321−i321−i321−i321111111-1-11111111-1-1111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-111+i321+i321+i321+i321−i321−i321−i321−i32
χ61111111-1-11111111-1-1111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-111−i321−i321−i321−i321+i321+i321+i321+i321111111-1-11111111-1-1111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-111−i321−i321−i321−i321+i321+i321+i321+i32
χ711111-1-11111-1-1-11111111-1-111-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-1-111-1-111-1-111111-1-11111-1-1-11111111-1-111-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-1-111-1-111-1-1
χ811111-1-11111-1-1-11111111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321111-1-1111+i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211111-1-11111-1-1-11111111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321111-1-1111+i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ911111-1-11111-1-1-11111111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321111-1-1111−i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211111-1-11111-1-1-11111111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321111-1-1111−i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ1011111-1-1-1-111-1-1-111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-111-1-11111111-1-1-1-111-1-1-111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-111-1-111
χ1111111-1-1-1-111-1-1-111-1-111111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-1-1-1-1-1-1111+i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211111-1-1-1-111-1-1-111-1-111111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-1-1-1-1-1-1111+i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ1211111-1-1-1-111-1-1-111-1-111111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-1-1-1-1-1-1111−i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211111-1-1-1-111-1-1-111-1-111111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-1-1-1-1-1-1111−i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ13111-1-1111-1111-1-1111-111-11-1111111111-11-111-1-11111-1-1-1-1-1-1-1-11-1-11-11-11-11-1111-1-1111-1111-1-1111-111-11-1111111111-11-111-1-11111-1-1-1-1-1-1-1-11-1-11-11-11-11-1
χ14111-1-1111-1111-1-1111-111-11-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-11-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-1-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32111-1-1111-1111-1-1111-111-11-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-11-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-1-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ15111-1-1111-1111-1-1111-111-11-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-11-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-1-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32111-1-1111-1111-1-1111-111-11-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-11-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-1-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ16111-1-111-11111-1-111-1111-1-1111111111-11-1111-1-11111-1-1-1-1-1-1-1-1-11-1-11-11-11-11111-1-111-11111-1-111-1111-1-1111111111-11-1111-1-11111-1-1-1-1-1-1-1-1-11-1-11-11-11-11
χ17111-1-111-11111-1-111-1111-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-11-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-11-11+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32111-1-111-11111-1-111-1111-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-11-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-11-11+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ18111-1-111-11111-1-111-1111-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-11-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-11-11−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32111-1-111-11111-1-111-1111-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-11-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-11-11−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ19111-1-1-1-11-111-111111-111-1-1111-1-1-1-1111-11-1-1-1-1-1-1-111-1-111-1-111-1111-1-111-1-11111-1-1-1-11-111-111111-111-1-1111-1-1-1-1111-11-1-1-1-1-1-1-111-1-111-1-111-1111-1-111-1-11
χ20111-1-1-1-11-111-111111-111-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321-11-1-1-1-1-11+i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32111-1-1-1-11-111-111111-111-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321-11-1-1-1-1-11+i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ21111-1-1-1-11-111-111111-111-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321-11-1-1-1-1-11−i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32111-1-1-1-11-111-111111-111-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321-11-1-1-1-1-11−i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ22111-1-1-1-1-1111-11111-1111-11-111-1-1-1-111-11-11-1-1-1-1-1-111-1-111-1-1111-11-111-1-111-1111-1-1-1-1-1111-11111-1111-11-111-1-1-1-111-11-11-1-1-1-1-1-111-1-111-1-1111-11-111-1-111-1
χ23111-1-1-1-1-1111-11111-1111-11-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-11-11-1-1-1-11+i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-111+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32111-1-1-1-1-1111-11111-1111-11-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-11-11-1-1-1-11+i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-111+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ24111-1-1-1-1-1111-11111-1111-11-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-11-11-1-1-1-11−i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-111−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32111-1-1-1-1-1111-11111-1111-11-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-11-11-1-1-1-11−i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-111−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ2522-20022002-2-2002-2002-20002222222200002-200-2-2-2-2000000000000000000022-20022002-2-2002-2002-20002222222200002-200-2-2-2-20000000000000000000
χ2622-20022002-2-2002-2002-2000−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i300002-2001+i31−i31+i31−i3000000000000000000022-20022002-2-2002-2002-2000−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i300002-2001+i31−i31+i31−i30000000000000000000
χ2722-20022002-2-2002-2002-2000−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i300002-2001−i31+i31−i31+i3000000000000000000022-20022002-2-2002-2002-2000−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i300002-2001−i31+i31−i31+i30000000000000000000
χ2822-200-2-2002-22002-2002-200022-2-2-2-2220000-220022-2-2000000000000000000022-200-2-2002-22002-2002-200022-2-2-2-2220000-220022-2-20000000000000000000
χ2922-200-2-2002-22002-2002-2000−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i30000-2200−1−i3−1+i31+i31−i3000000000000000000022-200-2-2002-22002-2002-2000−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i30000-2200−1−i3−1+i31+i31−i30000000000000000000
χ3022-200-2-2002-22002-2002-2000−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i30000-2200−1+i3−1−i31−i31+i3000000000000000000022-200-2-2002-22002-2002-2000−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i30000-2200−1+i3−1−i31−i31+i30000000000000000000
χ3133333333333333-1-133-1-133300000000-1-1-1-1-1-1-1-1000000000000-1-1-10000000033333333333333-1-133-1-133300000000-1-1-1-1-1-1-1-1000000000000-1-1-100000000
χ323333333-3-333333-1-1-3-3-1-13-3-3000000001111-1-1-1-100000000000011-1000000003333333-3-333333-1-1-3-3-1-13-3-3000000001111-1-1-1-100000000000011-100000000
χ3333333-3-33333-3-3-3-1-133-1-13-3-300000000-1-1-1-111-1-10000000000001110000000033333-3-33333-3-3-3-1-133-1-13-3-300000000-1-1-1-111-1-100000000000011100000000
χ3433333-3-3-3-333-3-3-3-1-1-3-3-1-133300000000111111-1-1000000000000-1-110000000033333-3-3-3-333-3-3-3-1-1-3-3-1-133300000000111111-1-1000000000000-1-1100000000
χ35333-3-3333-3333-3-3-1-13-3-1-1-33-300000000-11-11-1-111000000000000-11100000000333-3-3333-3333-3-3-1-13-3-1-1-33-300000000-11-11-1-111000000000000-11100000000
χ36333-3-333-33333-3-3-1-1-33-1-1-3-33000000001-11-1-1-1110000000000001-1100000000333-3-333-33333-3-3-1-1-33-1-1-3-33000000001-11-1-1-1110000000000001-1100000000
χ37333-3-3-3-33-333-333-1-13-3-1-1-3-3300000000-11-1111110000000000001-1-100000000333-3-3-3-33-333-333-1-13-3-1-1-3-3300000000-11-1111110000000000001-1-100000000
χ38333-3-3-3-3-3333-333-1-1-33-1-1-33-3000000001-11-11111000000000000-11-100000000333-3-3-3-3-3333-333-1-1-33-1-1-33-3000000001-11-11111000000000000-11-100000000
χ39666660066-2-20002-2-2-2-22-2000000000022-2-2002-200000000000000000000000666660066-2-20002-2-2-2-22-2000000000022-2-2002-200000000000000000000000
χ40666660066-2-2000-22-2-22-2-20000000000-2-22200-2200000000000000000000000666660066-2-2000-22-2-22-2-20000000000-2-22200-2200000000000000000000000
χ416666600-6-6-2-20002-222-22-20000000000-2-222002-2000000000000000000000006666600-6-6-2-20002-222-22-20000000000-2-222002-200000000000000000000000
χ426666600-6-6-2-2000-22222-2-2000000000022-2-200-22000000000000000000000006666600-6-6-2-2000-22222-2-2000000000022-2-200-2200000000000000000000000
χ43666-6-6006-6-2-20002-2-22-22200000000002-2-2200-2200000000000000000000000666-6-6006-6-2-20002-2-22-22200000000002-2-2200-2200000000000000000000000
χ44666-6-6006-6-2-2000-22-222-220000000000-222-2002-200000000000000000000000666-6-6006-6-2-2000-22-222-220000000000-222-2002-200000000000000000000000
χ45666-6-600-66-2-20002-22-2-2220000000000-222-200-2200000000000000000000000666-6-600-66-2-20002-22-2-2220000000000-222-200-2200000000000000000000000
χ46666-6-600-66-2-2000-222-22-2200000000002-2-22002-200000000000000000000000666-6-600-66-2-2000-222-22-2200000000002-2-22002-200000000000000000000000
χ4766-60066006-6-600-2200-22000000000000000-22000000000000000000000000066-60066006-6-600-2200-22000000000000000-220000000000000000000000000
χ4866-600-6-6006-6600-2200-220000000000000002-2000000000000000000000000066-600-6-6006-6600-2200-220000000000000002-20000000000000000000000000
χ498-8042−424-40000022−22000000000222-22-2-2-20000000000002−22−22−22−2000000000008-8042−424-40000022−22000000000222-22-2-2-20000000000002−22−22−22−200000000000
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χ611212-12000000-440004400-4-40000000000000000000000000000000000000000001212-12000000-440004400-4-4000000000000000000000000000000000000000000
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χ6311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6411111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321−i321−i321+i321−i32-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ6511111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321+i321+i321−i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ661111111-1-11111111-1-1111-1-111111111-1-1-1-11111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111
χ671111111-1-11111111-1-1111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-111+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1111+i321−i321+i321+i321−i321−i321+i321−i321111-1-1-1-11+i321−i321+i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ681111111-1-11111111-1-1111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-111−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1111−i321+i321−i321−i321+i321+i321−i321+i321111-1-1-1-11−i321+i321−i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ6911111-1-11111-1-1-11111111-1-111-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-111111-1-111-1-111
χ7011111-1-11111-1-1-11111111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321111-1-1111+i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1111+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32-1-1-1-111-1-1−1−i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ7111111-1-11111-1-1-11111111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321111-1-1111−i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1111−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i32-1-1-1-111-1-1−1+i32−1−i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ7211111-1-1-1-111-1-1-111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-111-1-111-1-1-1-1-11111-1-1111-1-111-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-111-1-1111-1-111-1-1
χ7311111-1-1-1-111-1-1-111-1-111111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-1-1-1-1-1-1111+i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1-1-1-11111-1-1111-1-111-1-1-1-1-11+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32111111-1-1−1−i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-11−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ7411111-1-1-1-111-1-1-111-1-111111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-1-1-1-1-1-1111−i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1-1-1-11111-1-1111-1-111-1-1-1-1-11−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i32111111-1-1−1+i32−1−i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-11−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ75111-1-1111-1111-1-1111-111-11-1111111111-11-111-1-11111-1-1-1-1-1-1-1-11-1-11-11-11-11-1-1-1-111-1-1-11-1-1-111-1-1-11-1-11-11-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111111111-111-11-11-11-11
χ76111-1-1111-1111-1-1111-111-11-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-11-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-1-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32-1-1-111-1-1-11-1-1-111-1-1-11-1-11-111+i321−i321+i321+i321−i321−i321+i321−i32-11-11-1-1111+i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ77111-1-1111-1111-1-1111-111-11-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-11-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-1-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32-1-1-111-1-1-11-1-1-111-1-1-11-1-11-111−i321+i321−i321−i321+i321+i321−i321+i32-11-11-1-1111−i321+i321−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ78111-1-111-11111-1-111-1111-1-1111111111-11-1111-1-11111-1-1-1-1-1-1-1-1-11-1-11-11-11-11-1-1-111-1-11-1-1-1-111-1-11-1-1-111-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1111111111-111-11-11-11-1
χ79111-1-111-11111-1-111-1111-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-11-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-11-11+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32-1-1-111-1-11-1-1-1-111-1-11-1-1-111-11+i321−i321+i321+i321−i321−i321+i321−i321-11-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321-11−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ80111-1-111-11111-1-111-1111-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-11-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-11-11−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32-1-1-111-1-11-1-1-1-111-1-11-1-1-111-11−i321+i321−i321−i321+i321+i321−i321+i321-11-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321-11−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ81111-1-1-1-11-111-111111-111-1-1111-1-1-1-1111-11-1-1-1-1-1-1-111-1-111-1-111-1111-1-111-1-11-1-1-11111-11-1-11-1-1-1-1-11-1-111-1-1-11111-1-1-11-11111111-1-111-1-111-1-11-1-1-111-1-111-1
χ82111-1-1-1-11-111-111111-111-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321-11-1-1-1-1-11+i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32-1-1-11111-11-1-11-1-1-1-1-11-1-111-11+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32-11-111111−1−i32−1+i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ83111-1-1-1-11-111-111111-111-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321-11-1-1-1-1-11−i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32-1-1-11111-11-1-11-1-1-1-1-11-1-111-11−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i32-11-111111−1+i32−1−i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ84111-1-1-1-1-1111-11111-1111-11-111-1-1-1-111-11-11-1-1-1-1-1-111-1-111-1-1111-11-111-1-111-1-1-1-111111-1-1-11-1-1-1-11-1-1-11-11-1-11111-1-11-11-1111111-1-111-1-111-1-1-11-11-1-111-1-11
χ85111-1-1-1-1-1111-11111-1111-11-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-11-11-1-1-1-11+i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-111+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32-1-1-111111-1-1-11-1-1-1-11-1-1-11-111+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i321-11-11111−1−i32−1+i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-1−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ86111-1-1-1-1-1111-11111-1111-11-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-11-11-1-1-1-11−i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-111−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32-1-1-111111-1-1-11-1-1-1-11-1-1-11-111−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i321-11-11111−1+i32−1−i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-1−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ8722-20022002-2-2002-2002-20002222222200002-200-2-2-2-20000000000000000000-2-2200-2-200-22200-2200-22000-2-2-2-2-2-2-2-20000-220022220000000000000000000
χ8822-20022002-2-2002-2002-2000−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i300002-2001+i31−i31+i31−i30000000000000000000-2-2200-2-200-22200-2200-220001+i31−i31+i31+i31−i31−i31+i31−i30000-2200−1−i3−1+i3−1−i3−1+i30000000000000000000
χ8922-20022002-2-2002-2002-2000−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i300002-2001−i31+i31−i31+i30000000000000000000-2-2200-2-200-22200-2200-220001−i31+i31−i31−i31+i31+i31−i31+i30000-2200−1+i3−1−i3−1+i3−1−i30000000000000000000
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χ9222-200-2-2002-22002-2002-2000−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i30000-2200−1+i3−1−i31−i31+i30000000000000000000-2-22002200-22-200-2200-220001−i31+i3−1+i3−1+i3−1−i3−1−i31−i31+i300002-2001−i31+i3−1+i3−1−i30000000000000000000
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χ943333333-3-333333-1-1-3-3-1-13-3-3000000001111-1-1-1-100000000000011-100000000-3-3-3-3-3-3-333-3-3-3-3-3113311-33300000000-1-1-1-11111000000000000-1-1100000000
χ9533333-3-33333-3-3-3-1-133-1-13-3-300000000-1-1-1-111-1-100000000000011100000000-3-3-3-3-333-3-3-3-333311-3-311-333000000001111-1-111000000000000-1-1-100000000
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χ97333-3-3333-3333-3-3-1-13-3-1-1-33-300000000-11-11-1-111000000000000-11100000000-3-3-333-3-3-33-3-3-33311-33113-33000000001-11-111-1-10000000000001-1-100000000
χ98333-3-333-33333-3-3-1-1-33-1-1-3-33000000001-11-1-1-1110000000000001-1100000000-3-3-333-3-33-3-3-3-333113-31133-300000000-11-1111-1-1000000000000-11-100000000
χ99333-3-3-3-33-333-333-1-13-3-1-1-3-3300000000-11-1111110000000000001-1-100000000-3-3-33333-33-3-33-3-311-331133-3000000001-11-1-1-1-1-1000000000000-11100000000
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χ11066-600-6-6006-6600-2200-220000000000000002-20000000000000000000000000-6-66006600-66-6002-2002-2000000000000000-220000000000000000000000000
χ1118-8042−424-40000022−22000000000222-22-2-2-20000000000002−22−22−22−200000000000-880−4242-4400000−2222000000000-2-2-22-2222000000000000−22−22−22−2200000000000
χ1128-8042−424-40000022−22000000000−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000000-880−4242-4400000−22220000000001+i31−i31+i3−1−i31−i3−1+i3−1−i3−1+i3000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000000
χ1138-8042−424-40000022−22000000000−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000000-880−4242-4400000−22220000000001−i31+i31−i3−1+i31+i3−1−i3−1+i3−1−i3000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000000
χ1148-8042−42-4400000−222200000000022-22-22-2-20000000000002−2−222−2−2200000000000-880−42424-40000022−22000000000-2-22-22-222000000000000−222−2−222−200000000000
χ1158-8042−42-4400000−2222000000000−1−i3−1+i31+i3−1−i31−i3−1+i31+i31−i3000000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000000-880−42424-40000022−220000000001+i31−i3−1−i31+i3−1+i31−i3−1−i3−1+i3000000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000000
χ1168-8042−42-4400000−2222000000000−1+i3−1−i31−i3−1+i31+i3−1−i31−i31+i3000000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000000-880−42424-40000022−220000000001−i31+i3−1+i31−i3−1−i31+i3−1+i3−1−i3000000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000000
χ1178-80−42424-400000−2222000000000222-22-2-2-2000000000000−22−22−22−2200000000000-88042−42-440000022−22000000000-2-2-22-22220000000000002−22−22−22−200000000000
χ1188-80−42424-400000−2222000000000−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000000-88042−42-440000022−220000000001+i31−i31+i3−1−i31−i3−1+i3−1−i3−1+i3000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000000
χ1198-80−42424-400000−2222000000000−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000000-88042−42-440000022−220000000001−i31+i31−i3−1+i31+i3−1−i3−1+i3−1−i3000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000000
χ1208-80−4242-440000022−2200000000022-22-22-2-2000000000000−222−2−222−200000000000-88042−424-400000−2222000000000-2-22-22-2220000000000002−2−222−2−2200000000000
χ1218-80−4242-440000022−22000000000−1−i3−1+i31+i3−1−i31−i3−1+i31+i31−i3000000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000000-88042−424-400000−22220000000001+i31−i3−1−i31+i3−1+i31−i3−1−i3−1+i3000000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000000
χ1228-80−4242-440000022−22000000000−1+i3−1−i31−i3−1+i31+i3−1−i31−i31+i3000000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000000-88042−424-400000−22220000000001−i31+i3−1+i31−i3−1−i31+i3−1+i3−1−i3000000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000000
χ1231212-12000000-440004400-4-4000000000000000000000000000000000000000000-12-12120000004-4000-4-40044000000000000000000000000000000000000000000
χ1241212-12000000-44000-4-40044000000000000000000000000000000000000000000-12-12120000004-40004400-4-4000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.