Finite Group Databasebeta

← Group #11788708

Character table — Group #11788708

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size112222222222244444444448888888888888888121212121212121224242424112222222222244444444448888888888888888121212121212121224242424112222222222244444444448888888888888888121212121212121224242424
order12222344446121266688881212124444121212121212121224242424224488884444366663121212126121266624242424121212121212121212121212121212242424246612122424242412121212366663121212126121266624242424121212121212121212121212121212242424246612122424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
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χ10111-1-1111-1-1111-11-1ii−i−i1-1-11-1i−i11-1-1ii−i−iii−i−i-1-111−i−iii-11−ii111-1-1111-1-1111-11-1ii−i−i1-1-11-1i−i11-1-1ii−i−iii−i−i-1-111−i−iii-11−ii111-1-1111-1-1111-11-1ii−i−i1-1-11-1i−i11-1-1ii−i−iii−i−i-1-111−i−iii-11−ii
χ11111-1-1111-1-1111-11-1ii−i−i1-1-1-11−ii-1-111−i−iiiii−i−i11-1-1ii−i−i-11−ii111-1-1111-1-1111-11-1ii−i−i1-1-1-11−ii-1-111−i−iiiii−i−i11-1-1ii−i−i-11−ii111-1-1111-1-1111-11-1ii−i−i1-1-1-11−ii-1-111−i−iiiii−i−i11-1-1ii−i−i-11−ii
χ12111-1-1111-1-1111-11-1ii−i−i1-1-1-11−ii-1-111−i−iiiii−i−i-1-111−i−iii1-1i−i111-1-1111-1-1111-11-1ii−i−i1-1-1-11−ii-1-111−i−iiiii−i−i-1-111−i−iii1-1i−i111-1-1111-1-1111-11-1ii−i−i1-1-1-11−ii-1-111−i−iiiii−i−i-1-111−i−iii1-1i−i
χ13111-1-1111-1-1111-11-1−i−iii1-1-11-1−ii11-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii111-1-1111-1-1111-11-1−i−iii1-1-11-1−ii11-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii111-1-1111-1-1111-11-1−i−iii1-1-11-1−ii11-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii
χ14111-1-1111-1-1111-11-1−i−iii1-1-11-1−ii11-1-1−i−iii−i−iii-1-111ii−i−i-11i−i111-1-1111-1-1111-11-1−i−iii1-1-11-1−ii11-1-1−i−iii−i−iii-1-111ii−i−i-11i−i111-1-1111-1-1111-11-1−i−iii1-1-11-1−ii11-1-1−i−iii−i−iii-1-111ii−i−i-11i−i
χ15111-1-1111-1-1111-11-1−i−iii1-1-1-11i−i-1-111ii−i−i−i−iii11-1-1−i−iii-11i−i111-1-1111-1-1111-11-1−i−iii1-1-1-11i−i-1-111ii−i−i−i−iii11-1-1−i−iii-11i−i111-1-1111-1-1111-11-1−i−iii1-1-1-11i−i-1-111ii−i−i−i−iii11-1-1−i−iii-11i−i
χ16111-1-1111-1-1111-11-1−i−iii1-1-1-11i−i-1-111ii−i−i−i−iii-1-111ii−i−i1-1−ii111-1-1111-1-1111-11-1−i−iii1-1-1-11i−i-1-111ii−i−i−i−iii-1-111ii−i−i1-1−ii111-1-1111-1-1111-11-1−i−iii1-1-1-11i−i-1-111ii−i−i−i−iii-1-111ii−i−i1-1−ii
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χ18222222-2-2-2-22-2-22220000-2-2-20000000000000000-22-2200000000222222-2-2-2-22-2-22220000-2-2-20000000000000000-22-2200000000222222-2-2-2-22-2-22220000-2-2-20000000000000000-22-2200000000
χ1922222-12222-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222-12222-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222-12222-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2022222-12222-1-1-1-1-1-12222-1-1-1-2-2-2-211111111-1-1-1-100000000000022222-12222-1-1-1-1-1-12222-1-1-1-2-2-2-211111111-1-1-1-100000000000022222-12222-1-1-1-1-1-12222-1-1-1-2-2-2-211111111-1-1-1-1000000000000
χ2122222-12222-1-1-1-1-1-1-2-2-2-2-1-1-122-2-2-1-1-1-11111111100000000000022222-12222-1-1-1-1-1-1-2-2-2-2-1-1-122-2-2-1-1-1-11111111100000000000022222-12222-1-1-1-1-1-1-2-2-2-2-1-1-122-2-2-1-1-1-111111111000000000000
χ2222222-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-2-2221111-1-1-1-1111100000000000022222-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-2-2221111-1-1-1-1111100000000000022222-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-2-2221111-1-1-1-11111000000000000
χ23222-2-22-2-2222-2-2-22-20000-22200000000000000002-2-2200000000222-2-22-2-2222-2-2-22-20000-22200000000000000002-2-2200000000222-2-22-2-2222-2-2-22-20000-22200000000000000002-2-2200000000
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χ26222-2-2-122-2-2-1-1-11-112i2i−2i−2i-111-22−2i2i11-1-1ii−i−i−i−iii000000000000222-2-2-122-2-2-1-1-11-112i2i−2i−2i-111-22−2i2i11-1-1ii−i−i−i−iii000000000000222-2-2-122-2-2-1-1-11-112i2i−2i−2i-111-22−2i2i11-1-1ii−i−i−i−iii000000000000
χ27222-2-2-122-2-2-1-1-11-11−2i−2i2i2i-1112-2−2i2i-1-111ii−i−iii−i−i000000000000222-2-2-122-2-2-1-1-11-11−2i−2i2i2i-1112-2−2i2i-1-111ii−i−iii−i−i000000000000222-2-2-122-2-2-1-1-11-11−2i−2i2i2i-1112-2−2i2i-1-111ii−i−iii−i−i000000000000
χ28222-2-2-122-2-2-1-1-11-11−2i−2i2i2i-111-222i−2i11-1-1−i−iiiii−i−i000000000000222-2-2-122-2-2-1-1-11-11−2i−2i2i2i-111-222i−2i11-1-1−i−iiiii−i−i000000000000222-2-2-122-2-2-1-1-11-11−2i−2i2i2i-111-222i−2i11-1-1−i−iiiii−i−i000000000000
χ2922-22-222-22-2222-2-222i−2i2i−2i-22-20000000000002i−2i2i−2i00000000000022-22-222-22-2222-2-222i−2i2i−2i-22-20000000000002i−2i2i−2i00000000000022-22-222-22-2222-2-222i−2i2i−2i-22-20000000000002i−2i2i−2i000000000000
χ3022-22-222-22-2222-2-22−2i2i−2i2i-22-2000000000000−2i2i−2i2i00000000000022-22-222-22-2222-2-22−2i2i−2i2i-22-2000000000000−2i2i−2i2i00000000000022-22-222-22-2222-2-22−2i2i−2i2i-22-2000000000000−2i2i−2i2i000000000000
χ3122-22-22-22-222-2-2-2-2200002-22000000000000000000002-22-2000022-22-22-22-222-2-2-2-2200002-22000000000000000000002-22-2000022-22-22-22-222-2-2-2-2200002-22000000000000000000002-22-20000
χ3222-22-22-22-222-2-2-2-2200002-2200000000000000000000-22-22000022-22-22-22-222-2-2-2-2200002-2200000000000000000000-22-22000022-22-22-22-222-2-2-2-2200002-2200000000000000000000-22-220000
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χ4222-2-22-12-2-22-1-1-1-1112-2-2211-10000−333−33−3−33-111-100000000000022-2-22-12-2-22-1-1-1-1112-2-2211-10000−333−33−3−33-111-100000000000022-2-22-12-2-22-1-1-1-1112-2-2211-10000−333−33−3−33-111-1000000000000
χ4322-2-22-12-2-22-1-1-1-111-222-211-100003−3−333−3−331-1-1100000000000022-2-22-12-2-22-1-1-1-111-222-211-100003−3−333−3−331-1-1100000000000022-2-22-12-2-22-1-1-1-111-222-211-100003−3−333−3−331-1-11000000000000
χ4422-2-22-12-2-22-1-1-1-111-222-211-10000−333−3−333−31-1-1100000000000022-2-22-12-2-22-1-1-1-111-222-211-10000−333−3−333−31-1-1100000000000022-2-22-12-2-22-1-1-1-111-222-211-10000−333−3−333−31-1-11000000000000
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χ5411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−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+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+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−i321+i321+i321+i321+i32
χ5511111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−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−i32−1−i32−1−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+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
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χ111111-1-1111-1-1111-11-1ii−i−i1-1-11-1i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i321+i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i321−i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7
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χ113111-1-1111-1-1111-11-1ii−i−i1-1-1-11−ii-1-111−i−iiiii−i−i11-1-1ii−i−i-11−ii−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i321+i321+i32−1−i32−ζ11ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i321−i321−i32−1+i32−ζ7ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7
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χ120222222-2-2-2-22-2-22220000-2-2-20000000000000000-22-2200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i31+i300000000000000001+i3−1−i31+i3−1−i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i31−i300000000000000001−i3−1+i31−i3−1+i300000000
χ12122222-12222-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ12222222-12222-1-1-1-1-1-12222-1-1-1-2-2-2-211111111-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000
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χ13922-2-2222-2-222222-2-22-2-22-2-220000000000002-2-22000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3000000000000−1−i31+i31+i3−1−i3000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3000000000000−1+i31−i31−i3−1+i3000000000000
χ14022-2-2222-2-222222-2-2-222-2-2-22000000000000-222-2000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i30000000000001+i3−1−i3−1−i31+i3000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i30000000000001−i3−1+i3−1+i31−i3000000000000
χ14122-2-222-222-22-2-22-2-2000022-2000000000000000000002i−2i−2i2i0000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i30000−1−i3−1−i31+i3000000000000000000002ζ11−2ζ11−2ζ112ζ110000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i30000−1+i3−1+i31−i3000000000000000000002ζ7−2ζ7−2ζ72ζ70000
χ14222-2-222-222-22-2-22-2-2000022-200000000000000000000−2i2i2i−2i0000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i30000−1−i3−1−i31+i300000000000000000000−2ζ112ζ112ζ11−2ζ110000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i30000−1+i3−1+i31−i300000000000000000000−2ζ72ζ72ζ7−2ζ70000
χ14322-2-22-12-2-22-1-1-1-1112-2-2211-100003−3−33−333−3-111-1000000000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i31+i3−1−i31+i321+i321+i321+i32−1−i32−1−i32−1−i31+i31+i3−1−i3−1−i32−1−i321+i3200002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ111+i32−1−i32−1−i321+i32000000000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i31−i3−1+i31−i321−i321−i321−i32−1+i32−1+i32−1+i31−i31−i3−1+i3−1+i32−1+i321−i320000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ111−i32−1+i32−1+i321−i32000000000000
χ14422-2-22-12-2-22-1-1-1-1112-2-2211-10000−333−33−3−33-111-1000000000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i31+i3−1−i31+i321+i321+i321+i32−1−i32−1−i32−1−i31+i31+i3−1−i3−1−i32−1−i321+i320000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ111+i32−1−i32−1−i321+i32000000000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i31−i3−1+i31−i321−i321−i321−i32−1+i32−1+i32−1+i31−i31−i3−1+i3−1+i32−1+i321−i320000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ111−i32−1+i32−1+i321−i32000000000000
χ14522-2-22-12-2-22-1-1-1-111-222-211-100003−3−333−3−331-1-11000000000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i31+i3−1−i31+i321+i321+i321+i32−1−i32−1−i321+i3−1−i3−1−i31+i3−1−i32−1−i321+i3200002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−1−i321+i321+i32−1−i32000000000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i31−i3−1+i31−i321−i321−i321−i32−1+i32−1+i321−i3−1+i3−1+i31−i3−1+i32−1+i321−i320000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−1+i321−i321−i32−1+i32000000000000
χ14622-2-22-12-2-22-1-1-1-111-222-211-10000−333−3−333−31-1-11000000000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i31+i3−1−i31+i321+i321+i321+i32−1−i32−1−i321+i3−1−i3−1−i31+i3−1−i32−1−i321+i320000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−1−i321+i321+i32−1−i32000000000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i31−i3−1+i31−i321−i321−i321−i32−1+i32−1+i321−i3−1+i3−1+i31−i3−1+i32−1+i321−i320000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−1+i321−i321−i32−1+i32000000000000
χ14744444-2-4-4-4-4-222-2-2-200002220000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i32+2i32+2i32+2i32+2i31+i3−1−i3−1−i31+i31+i31+i30000−1−i3−1−i3−1−i30000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i32−2i32−2i32−2i32−2i31−i3−1+i3−1+i31−i31−i31−i30000−1+i3−1+i3−1+i30000000000000000000000000000
χ148444-4-4-2-4-444-2222-2200002-2-20000000000000000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i32+2i32+2i3−2−2i3−2−2i31+i3−1−i3−1−i3−1−i31+i3−1−i30000−1−i31+i31+i30000000000000000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i32−2i32−2i3−2+2i3−2+2i31−i3−1+i3−1+i3−1+i31−i3−1+i30000−1+i31−i31−i30000000000000000000000000000
χ14944-44-4-2-44-44-22222-20000-22-20000000000000000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i32+2i3−2−2i32+2i3−2−2i31+i3−1−i3−1−i3−1−i3−1−i31+i300001+i3−1−i31+i30000000000000000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i32−2i3−2+2i32−2i3−2+2i31−i3−1+i3−1+i3−1+i3−1+i31−i300001−i3−1+i31−i30000000000000000000000000000
χ15044-4-44-2-444-4-222-2220000-2-220000000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i32+2i3−2−2i3−2−2i32+2i31+i3−1−i3−1−i31+i3−1−i3−1−i300001+i31+i3−1−i30000000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i32−2i3−2+2i3−2+2i32−2i31−i3−1+i3−1+i31−i3−1+i3−1+i300001−i31−i3−1+i30000000000000000000000000000
χ1518-800080000-80000000000000000000000000000000000000000−4−4i34+4i3000−4−4i300004+4i30000000000000000000000000000000000000000−4+4i34−4i3000−4+4i300004−4i30000000000000000000000000000000000000000
χ1528-8000-40000443−4300000000000000000000000000000000000000−4−4i34+4i30002+2i30000−2−2i38ζ7+4ζ11−8ζ7−4ζ1100000000000000000000000000000000000000−4+4i34−4i30002−2i30000−2+2i3−4ζ7−8ζ114ζ7+8ζ1100000000000000000000000000000000000000
χ1538-8000-400004−434300000000000000000000000000000000000000−4−4i34+4i30002+2i30000−2−2i3−8ζ7−4ζ118ζ7+4ζ1100000000000000000000000000000000000000−4+4i34−4i30002−2i30000−2+2i34ζ7+8ζ11−4ζ7−8ζ1100000000000000000000000000000000000000

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