Finite Group Databasebeta

← Group #13146909

Character table — Group #13146909

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11112222333333336666661212121212121818181818181818181818182424242424242424242424243636363636361111222233333333666666121212121212181818181818181818181818242424242424242424242424363636363636
order124436121233661212121224661212666121212444412121212121212129991818183636363636368824242424224466121266661212121224661212666121212444412121212121212121818181818183636363636368824242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ311111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ411111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ511111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ611111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ711-1-111-1-11111-1-1-1-1-11-1-111-1-1-1111ii−i−iii−i−iii−i−i111111-1-1-1-1-1-1i−ii−ii−i11-1-111-1-11111-1-1-1-1-11-1-111-1-1-1111ii−i−iii−i−iii−i−i111111-1-1-1-1-1-1i−ii−ii−i
χ811-1-111-1-11111-1-1-1-1-11-1-111-1-1-1111−i−iii−i−iii−i−iii111111-1-1-1-1-1-1−ii−ii−ii11-1-111-1-11111-1-1-1-1-11-1-111-1-1-1111−i−iii−i−iii−i−iii111111-1-1-1-1-1-1−ii−ii−ii
χ911-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32i−iζ11−ζ11ζ7−ζ711-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32i−iζ11−ζ11ζ7−ζ7
χ1011-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−ii−ζ11ζ11−ζ7ζ711-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−ii−ζ11ζ11−ζ7ζ7
χ1111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32i−iζ7−ζ7ζ11−ζ1111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32i−iζ7−ζ7ζ11−ζ11
χ1211-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−ii−ζ7ζ7−ζ11ζ1111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−ii−ζ7ζ7−ζ11ζ11
χ132222222222222222222222222222000000000000-1-1-1-1-1-1-1-1-1-1-1-10000002222222222222222222222222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000
χ1422222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000000-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i3200000022222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000000-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32000000
χ1522222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000000-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i3200000022222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000000-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32000000
χ1622-2-222-2-22222-2-2-2-2-22-2-222-2-2-2222000000000000-1-1-1-1-1-111111100000022-2-222-2-22222-2-2-2-2-22-2-222-2-2-2222000000000000-1-1-1-1-1-1111111000000
χ1722-2-222-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-221+i31−i3−1−i3−1+i3-21+i31−i32−1−i3−1+i3000000000000-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i3200000022-2-222-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-221+i31−i3−1−i3−1+i3-21+i31−i32−1−i3−1+i3000000000000-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32000000
χ1822-2-222-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3-221−i31+i3−1+i3−1−i3-21−i31+i32−1+i3−1−i3000000000000-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i3200000022-2-222-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3-221−i31+i3−1+i3−1−i3-21−i31+i32−1+i3−1−i3000000000000-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32000000
χ192-22i−2i2-22i−2i22-2-22i−2i2i−2i0000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i-1-1-1111i−ii−ii−i0000002-22i−2i2-22i−2i22-2-22i−2i2i−2i0000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i-1-1-1111i−ii−ii−i000000
χ202-22i−2i2-22i−2i22-2-22i−2i2i−2i000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i-1-1-1111i−ii−ii−i0000002-22i−2i2-22i−2i22-2-22i−2i2i−2i000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i-1-1-1111i−ii−ii−i000000
χ212-22i−2i2-22i−2i−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ70000000000001+i−1−i1−i−1+i−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ11ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10-11+i321−i321−1−i32−1+i32i−iζ11−ζ11ζ7−ζ70000002-22i−2i2-22i−2i−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ70000000000001+i−1−i1−i−1+i−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ11ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10-11+i321−i321−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7000000
χ222-22i−2i2-22i−2i−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ7000000000000−1−i1+i−1+i1−iζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ11−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10-11+i321−i321−1−i32−1+i32i−iζ11−ζ11ζ7−ζ70000002-22i−2i2-22i−2i−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ7000000000000−1−i1+i−1+i1−iζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ11−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10-11+i321−i321−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7000000
χ232-22i−2i2-22i−2i−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ110000000000001+i−1−i1−i−1+iζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ11-11−i321+i321−1+i32−1−i32i−iζ7−ζ7ζ11−ζ110000002-22i−2i2-22i−2i−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ110000000000001+i−1−i1−i−1+iζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ11-11−i321+i321−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11000000
χ242-22i−2i2-22i−2i−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ11000000000000−1−i1+i−1+i1−i−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ11-11−i321+i321−1+i32−1−i32i−iζ7−ζ7ζ11−ζ110000002-22i−2i2-22i−2i−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ11000000000000−1−i1+i−1+i1−i−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ11-11−i321+i321−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11000000
χ252-2−2i2i2-2−2i2i22-2-2−2i2i−2i2i0000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i-1-1-1111−ii−ii−ii0000002-2−2i2i2-2−2i2i22-2-2−2i2i−2i2i0000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i-1-1-1111−ii−ii−ii000000
χ262-2−2i2i2-2−2i2i22-2-2−2i2i−2i2i000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i-1-1-1111−ii−ii−ii0000002-2−2i2i2-2−2i2i22-2-2−2i2i−2i2i000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i-1-1-1111−ii−ii−ii000000
χ272-2−2i2i2-2−2i2i−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ70000000000001−i−1+i1+i−1−i−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10-11+i321−i321−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ70000002-2−2i2i2-2−2i2i−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ70000000000001−i−1+i1+i−1−i−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10-11+i321−i321−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ7000000
χ282-2−2i2i2-2−2i2i−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ7000000000000−1+i1−i−1−i1+iζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10-11+i321−i321−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ70000002-2−2i2i2-2−2i2i−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ7000000000000−1+i1−i−1−i1+iζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10-11+i321−i321−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ7000000
χ292-2−2i2i2-2−2i2i−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ110000000000001−i−1+i1+i−1−i−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11-11−i321+i321−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ110000002-2−2i2i2-2−2i2i−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ110000000000001−i−1+i1+i−1−i−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11-11−i321+i321−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11000000
χ302-2−2i2i2-2−2i2i−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ11000000000000−1+i1−i−1−i1+iζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11-11−i321+i321−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ110000002-2−2i2i2-2−2i2i−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ11000000000000−1+i1−i−1−i1+iζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11-11−i321+i321−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11000000
χ313333333333333333-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000-1-1-1-1-1-13333333333333333-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000-1-1-1-1-1-1
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χ812-22i−2i2-22i−2i−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ110000000000001+i−1−i1−i−1+iζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ11-11−i321+i321−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11000000-22−2i2i-22−2i2i1−i31+i3−1+i3−1−i3−2ζ72ζ7−2ζ112ζ11000000000000−1−i1+i−1+i1−i−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ111−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ11000000
χ822-22i−2i2-22i−2i−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ11000000000000−1−i1+i−1+i1−i−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ11-11−i321+i321−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11000000-22−2i2i-22−2i2i1−i31+i3−1+i3−1−i3−2ζ72ζ7−2ζ112ζ110000000000001+i−1−i1−i−1+iζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ111−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ11000000
χ832-2−2i2i2-2−2i2i22-2-2−2i2i−2i2i0000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i-1-1-1111−ii−ii−ii000000-222i−2i-222i−2i-2-2222i−2i2i−2i000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i111-1-1-1i−ii−ii−i000000
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χ852-2−2i2i2-2−2i2i−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ70000000000001−i−1+i1+i−1−i−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10-11+i321−i321−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ7000000-222i−2i-222i−2i1+i31−i3−1−i3−1+i32ζ11−2ζ112ζ7−2ζ7000000000000−1+i1−i−1−i1+iζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ101−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ7000000
χ862-2−2i2i2-2−2i2i−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ7000000000000−1+i1−i−1−i1+iζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10-11+i321−i321−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ7000000-222i−2i-222i−2i1+i31−i3−1−i3−1+i32ζ11−2ζ112ζ7−2ζ70000000000001−i−1+i1+i−1−i−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ101−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ7000000
χ872-2−2i2i2-2−2i2i−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ110000000000001−i−1+i1+i−1−i−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11-11−i321+i321−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11000000-222i−2i-222i−2i1−i31+i3−1+i3−1−i32ζ7−2ζ72ζ11−2ζ11000000000000−1+i1−i−1−i1+iζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ111−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ11000000
χ882-2−2i2i2-2−2i2i−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ11000000000000−1+i1−i−1−i1+iζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11-11−i321+i321−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11000000-222i−2i-222i−2i1−i31+i3−1+i3−1−i32ζ7−2ζ72ζ11−2ζ110000000000001−i−1+i1+i−1−i−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ111−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ11000000
χ893333333333333333-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000-1-1-1-1-1-1-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111
χ903333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3111111111111111111111111000000000000-1-1-1-1-1-1
χ9133333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000-1-11+i321+i321−i321−i32-3-3-3-3-3-3-3-33+3i323−3i323+3i323−3i323+3i323+3i323−3i323−3i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200000000000011−1−i32−1−i32−1+i32−1+i32
χ9233333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200000000000011−1−i32−1−i32−1+i32−1+i32-3-3-3-3-3-3-3-33+3i323−3i323+3i323−3i323+3i323+3i323−3i323−3i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000-1-11+i321+i321−i321−i32
χ9333333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000-1-11−i321−i321+i321+i32-3-3-3-3-3-3-3-33−3i323+3i323−3i323+3i323−3i323−3i323+3i323+3i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3200000000000011−1+i32−1+i32−1−i32−1−i32
χ9433333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3200000000000011−1+i32−1+i32−1−i32−1−i32-3-3-3-3-3-3-3-33−3i323+3i323−3i323+3i323−3i323−3i323+3i323+3i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000-1-11−i321−i321+i321+i32
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χ9833-3-333-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323+3i323−3i323−3i321-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7000000000000i−iζ11−ζ11ζ7−ζ7-3-333-3-3333+3i323−3i323+3i323−3i32−3−3i32−3−3i32−3+3i32−3+3i32-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7000000000000−ii−ζ11ζ11−ζ7ζ7
χ9933-3-333-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323−3i323+3i323+3i321-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11000000000000−ii−ζ7ζ7−ζ11ζ11-3-333-3-3333−3i323+3i323−3i323+3i32−3+3i32−3+3i32−3−3i32−3−3i32-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11000000000000i−iζ7−ζ7ζ11−ζ11
χ10033-3-333-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323−3i323+3i323+3i321-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11000000000000i−iζ7−ζ7ζ11−ζ11-3-333-3-3333−3i323+3i323−3i323+3i32−3+3i32−3+3i32−3−3i32−3−3i32-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11000000000000−ii−ζ7ζ7−ζ11ζ11
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χ1064-4−4i4i4-4−4i4i−2+2i3−2−2i32−2i32+2i3−4ζ74ζ7−4ζ114ζ110000000000000000000000001−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ11000000-444i−4i-444i−4i2−2i32+2i3−2+2i3−2−2i34ζ7−4ζ74ζ11−4ζ11000000000000000000000000-11−i321+i321−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11000000
χ1076666-3-3-3-300000000660000-300-300000000000000000000000000000000-6-6-6-6333300000000-6-60000300300000000000000000000000000000000
χ1086666-3-3-3-300000000-2-244441-2-21-2-2000000000000000000000000000000-6-6-6-633330000000022-4-4-4-4-122-122000000000000000000000000000000
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χ11166-6-6-3-333000000002-2-4-444-1221-2-2000000000000000000000000000000-6-66633-3-300000000-2244-4-41-2-2-122000000000000000000000000000000
χ11266-6-6-3-333000000002-22+2i32−2i3−2−2i3−2+2i3-1−1−i3−1+i311+i31−i3000000000000000000000000000000-6-66633-3-300000000-22−2−2i3−2+2i32+2i32−2i311+i31−i3-1−1−i3−1+i3000000000000000000000000000000
χ11366-6-6-3-333000000002-22−2i32+2i3−2+2i3−2−2i3-1−1+i3−1−i311−i31+i3000000000000000000000000000000-6-66633-3-300000000-22−2+2i3−2−2i32−2i32+2i311−i31+i3-1−1+i3−1−i3000000000000000000000000000000
χ11466-6-6-3-33300000000-660000300-300000000000000000000000000000000-6-66633-3-3000000006-60000-300300000000000000000000000000000000
χ11512-1212i−12i-66−6i6i00000000000000000000000000000000000000000000000000-1212−12i12i6-66i−6i00000000000000000000000000000000000000000000000000
χ11612-12−12i12i-666i−6i00000000000000000000000000000000000000000000000000-121212i−12i6-6−6i6i00000000000000000000000000000000000000000000000000

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