Finite Group Databasebeta

← Group #13178510

Character table — Group #13178510

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size112222222224444444444444444444444181818181818363636363636112222222224444444444444444444444181818181818363636363636112222222224444444444444444444444181818181818363636363636112222222224444444444444444444444181818181818363636363636
order123334666121233333666661212121212121212121212128824242424226666226664666121266666666661212121212121212121212128824242424226666226664666121266666666661212121212121212121212128824242424226666226664666121266666666661212121212121212121212128824242424226666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-11-111-1-1111111111111111111111111111111111-1-1-1-1-1-11-111-1-1111111111111111111111111111111111-1-1-1-1-1-11-111-1-1111111111111111111111111111111111-1-1-1-1-1-11-111-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-11-1-111111111111111111111111111111111111-1-1-1-1-1-1-11-1-111111111111111111111111111111111111-1-1-1-1-1-1-11-1-111111111111111111111111111111111111-1-1-1-1-1-1-11-1-111
χ522222-2222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000022222-2222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000022222-2222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000022222-2222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000
χ62222-1222-1222-1-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-10000000200-1-12222-1222-1222-1-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-10000000200-1-12222-1222-1222-1-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-10000000200-1-12222-1222-1222-1-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-10000000200-1-1
χ72222-1222-1222-1-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-10000000-200112222-1222-1222-1-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-10000000-200112222-1222-1222-1-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-10000000-200112222-1222-1222-1-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-10000000-20011
χ82222-1-222-1-2-22-1-1-1-12-1-1-1-1-21-2-2111111110000000000−i3i32222-1-222-1-2-22-1-1-1-12-1-1-1-1-21-2-2111111110000000000−i3i32222-1-222-1-2-22-1-1-1-12-1-1-1-1-21-2-2111111110000000000−i3i32222-1-222-1-2-22-1-1-1-12-1-1-1-1-21-2-2111111110000000000−i3i3
χ92222-1-222-1-2-22-1-1-1-12-1-1-1-1-21-2-2111111110000000000i3−i32222-1-222-1-2-22-1-1-1-12-1-1-1-1-21-2-2111111110000000000i3−i32222-1-222-1-2-22-1-1-1-12-1-1-1-1-21-2-2111111110000000000i3−i32222-1-222-1-2-22-1-1-1-12-1-1-1-1-21-2-2111111110000000000i3−i3
χ10222-1222-1222-12-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-100000020-1-100222-1222-1222-12-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-100000020-1-100222-1222-1222-12-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-100000020-1-100222-1222-1222-12-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-100000020-1-100
χ11222-1222-1222-12-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-1000000-201100222-1222-1222-12-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-1000000-201100222-1222-1222-12-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-1000000-201100222-1222-1222-12-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-1000000-201100
χ12222-12-22-12-2-2-12-1-1-1-12-1-1-11-211-2-211111100000000−i3i300222-12-22-12-2-2-12-1-1-1-12-1-1-11-211-2-211111100000000−i3i300222-12-22-12-2-2-12-1-1-1-12-1-1-11-211-2-211111100000000−i3i300222-12-22-12-2-2-12-1-1-1-12-1-1-11-211-2-211111100000000−i3i300
χ13222-12-22-12-2-2-12-1-1-1-12-1-1-11-211-2-211111100000000i3−i300222-12-22-12-2-2-12-1-1-1-12-1-1-11-211-2-211111100000000i3−i300222-12-22-12-2-2-12-1-1-1-12-1-1-11-211-2-211111100000000i3−i300222-12-22-12-2-2-12-1-1-1-12-1-1-11-211-2-211111100000000i3−i300
χ1422-1222-122-1-1-1-12-1-1-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-100000022-1222-122-1-1-1-12-1-1-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-100000022-1222-122-1-1-1-12-1-1-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-100000022-1222-122-1-1-1-12-1-1-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000
χ1522-1222-122-1-1-1-12-1-1-1-12-1-122-1-1-1-122-1-1-1-1-2-2111100000022-1222-122-1-1-1-12-1-1-1-12-1-122-1-1-1-122-1-1-1-1-2-2111100000022-1222-122-1-1-1-12-1-1-1-12-1-122-1-1-1-122-1-1-1-1-2-2111100000022-1222-122-1-1-1-12-1-1-1-12-1-122-1-1-1-122-1-1-1-1-2-21111000000
χ1622-122-2-12211-1-12-1-1-1-12-1-1-2-21111-2-211110033−3−300000022-122-2-12211-1-12-1-1-1-12-1-1-2-21111-2-211110033−3−300000022-122-2-12211-1-12-1-1-1-12-1-1-2-21111-2-211110033−3−300000022-122-2-12211-1-12-1-1-1-12-1-1-2-21111-2-211110033−3−3000000
χ1722-122-2-12211-1-12-1-1-1-12-1-1-2-21111-2-2111100−3−33300000022-122-2-12211-1-12-1-1-1-12-1-1-2-21111-2-2111100−3−33300000022-122-2-12211-1-12-1-1-1-12-1-1-2-21111-2-2111100−3−33300000022-122-2-12211-1-12-1-1-1-12-1-1-2-21111-2-2111100−3−333000000
χ182-22220-2-2-20022222-2-2-2-2-20000000000002−22−22−20000002-22220-2-2-20022222-2-2-2-2-20000000000002−22−22−20000002-22220-2-2-20022222-2-2-2-2-20000000000002−22−22−20000002-22220-2-2-20022222-2-2-2-2-20000000000002−22−22−2000000
χ192-22220-2-2-20022222-2-2-2-2-2000000000000−22−22−220000002-22220-2-2-20022222-2-2-2-2-2000000000000−22−22−220000002-22220-2-2-20022222-2-2-2-2-2000000000000−22−22−220000002-22220-2-2-20022222-2-2-2-2-2000000000000−22−22−22000000
χ202-2-12201-2-23−3-1-12-1-111-211003−33−30033−3−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000002-2-12201-2-23−3-1-12-1-111-211003−33−30033−3−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000002-2-12201-2-23−3-1-12-1-111-211003−33−30033−3−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000002-2-12201-2-23−3-1-12-1-111-211003−33−30033−3−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000
χ212-2-12201-2-23−3-1-12-1-111-211003−33−30033−3−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000002-2-12201-2-23−3-1-12-1-111-211003−33−30033−3−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000002-2-12201-2-23−3-1-12-1-111-211003−33−30033−3−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000002-2-12201-2-23−3-1-12-1-111-211003−33−30033−3−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000
χ222-2-12201-2-2−33-1-12-1-111-21100−33−3300−3−3332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000002-2-12201-2-2−33-1-12-1-111-21100−33−3300−3−3332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000002-2-12201-2-2−33-1-12-1-111-21100−33−3300−3−3332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000002-2-12201-2-2−33-1-12-1-111-21100−33−3300−3−3332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000
χ232-2-12201-2-2−33-1-12-1-111-21100−33−3300−3−333−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000002-2-12201-2-2−33-1-12-1-111-21100−33−3300−3−333−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000002-2-12201-2-2−33-1-12-1-111-21100−33−3300−3−333−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000002-2-12201-2-2−33-1-12-1-111-21100−33−3300−3−333−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000
χ24444-2-244-2-244-2-2111-2-2111-2-2-2-2-2-2111111000000000000444-2-244-2-244-2-2111-2-2111-2-2-2-2-2-2111111000000000000444-2-244-2-244-2-2111-2-2111-2-2-2-2-2-2111111000000000000444-2-244-2-244-2-2111-2-2111-2-2-2-2-2-2111111000000000000
χ25444-2-2-44-2-2-4-4-2-2111-2-2111222222-1-1-1-1-1-1000000000000444-2-2-44-2-2-4-4-2-2111-2-2111222222-1-1-1-1-1-1000000000000444-2-2-44-2-2-4-4-2-2111-2-2111222222-1-1-1-1-1-1000000000000444-2-2-44-2-2-4-4-2-2111-2-2111222222-1-1-1-1-1-1000000000000
χ2644-24-24-24-2-2-2-21-211-21-2114-2-2-211-2-2111100000000000044-24-24-24-2-2-2-21-211-21-2114-2-2-211-2-2111100000000000044-24-24-24-2-2-2-21-211-21-2114-2-2-211-2-2111100000000000044-24-24-24-2-2-2-21-211-21-2114-2-2-211-2-21111000000000000
χ2744-24-2-4-24-222-21-211-21-211-4222-1-122-1-1-1-100000000000044-24-2-4-24-222-21-211-21-211-4222-1-122-1-1-1-100000000000044-24-2-4-24-222-21-211-21-211-4222-1-122-1-1-1-100000000000044-24-2-4-24-222-21-211-21-211-4222-1-122-1-1-1-1000000000000
χ2844-2-244-2-24-2-21-2-2111-2-211-2411-2-2-2-2111100000000000044-2-244-2-24-2-21-2-2111-2-211-2411-2-2-2-2111100000000000044-2-244-2-24-2-21-2-2111-2-211-2411-2-2-2-2111100000000000044-2-244-2-24-2-21-2-2111-2-211-2411-2-2-2-21111000000000000
χ2944-2-24-4-2-24221-2-2111-2-2112-4-1-12222-1-1-1-100000000000044-2-24-4-2-24221-2-2111-2-2112-4-1-12222-1-1-1-100000000000044-2-24-4-2-24221-2-2111-2-2112-4-1-12222-1-1-1-100000000000044-2-24-4-2-24221-2-2111-2-2112-4-1-12222-1-1-1-1000000000000
χ3044-2-2-24-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i3200000000000044-2-2-24-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i3200000000000044-2-2-24-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i3200000000000044-2-2-24-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000
χ3144-2-2-24-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i3200000000000044-2-2-24-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i3200000000000044-2-2-24-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i3200000000000044-2-2-24-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000
χ3244-2-2-2-4-2-2-222111−1−3i32−1+3i32111−1−3i32−1+3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i3200000000000044-2-2-2-4-2-2-222111−1−3i32−1+3i32111−1−3i32−1+3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i3200000000000044-2-2-2-4-2-2-222111−1−3i32−1+3i32111−1−3i32−1+3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i3200000000000044-2-2-2-4-2-2-222111−1−3i32−1+3i32111−1−3i32−1+3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000
χ3344-2-2-2-4-2-2-222111−1+3i32−1−3i32111−1+3i32−1−3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i3200000000000044-2-2-2-4-2-2-222111−1+3i32−1−3i32111−1+3i32−1−3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i3200000000000044-2-2-2-4-2-2-222111−1+3i32−1−3i32111−1+3i32−1−3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i3200000000000044-2-2-2-4-2-2-222111−1+3i32−1−3i32111−1+3i32−1−3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000
χ344-444-20-4-42004-2-2-2-2-422220000000000000000000000004-444-20-4-42004-2-2-2-2-422220000000000000000000000004-444-20-4-42004-2-2-2-2-422220000000000000000000000004-444-20-4-42004-2-2-2-2-42222000000000000000000000000
χ354-44-240-42-400-24-2-2-22-42220000000000000000000000004-44-240-42-400-24-2-2-22-42220000000000000000000000004-44-240-42-400-24-2-2-22-42220000000000000000000000004-44-240-42-400-24-2-2-22-4222000000000000000000000000
χ364-44-2-20-42200-2-211122-1-1-10000003i−3i3i−3i−3i3i0000000000004-44-2-20-42200-2-211122-1-1-10000003i−3i3i−3i−3i3i0000000000004-44-2-20-42200-2-211122-1-1-10000003i−3i3i−3i−3i3i0000000000004-44-2-20-42200-2-211122-1-1-10000003i−3i3i−3i−3i3i000000000000
χ374-44-2-20-42200-2-211122-1-1-1000000−3i3i−3i3i3i−3i0000000000004-44-2-20-42200-2-211122-1-1-1000000−3i3i−3i3i3i−3i0000000000004-44-2-20-42200-2-211122-1-1-1000000−3i3i−3i3i3i−3i0000000000004-44-2-20-42200-2-211122-1-1-1000000−3i3i−3i3i3i−3i000000000000
χ384-4-24-202-4223−23-21-2112-12-1-10023−23−3300−3−3330000000000004-4-24-202-4223−23-21-2112-12-1-10023−23−3300−3−3330000000000004-4-24-202-4223−23-21-2112-12-1-10023−23−3300−3−3330000000000004-4-24-202-4223−23-21-2112-12-1-10023−23−3300−3−333000000000000
χ394-4-24-202-42−2323-21-2112-12-1-100−23233−30033−3−30000000000004-4-24-202-42−2323-21-2112-12-1-100−23233−30033−3−30000000000004-4-24-202-42−2323-21-2112-12-1-100−23233−30033−3−30000000000004-4-24-202-42−2323-21-2112-12-1-100−23233−30033−3−3000000000000
χ404-4-2-24022-423−231-2-211-122-1-100−3323−2300−3−3330000000000004-4-2-24022-423−231-2-211-122-1-100−3323−2300−3−3330000000000004-4-2-24022-423−231-2-211-122-1-100−3323−2300−3−3330000000000004-4-2-24022-423−231-2-211-122-1-100−3323−2300−3−333000000000000
χ414-4-2-24022-4−23231-2-211-122-1-1003−3−23230033−3−30000000000004-4-2-24022-4−23231-2-211-122-1-1003−3−23230033−3−30000000000004-4-2-24022-4−23231-2-211-122-1-1003−3−23230033−3−30000000000004-4-2-24022-4−23231-2-211-122-1-1003−3−23230033−3−3000000000000
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χ16244-24-2-4-24-222-21-211-21-211-4222-1-122-1-1-1-1000000000000-4-42-4242-42-2-22-12-1-12-12-1-14-2-2-211-2-21111000000000000-4-42-4242-42-2-22-12-1-12-12-1-14-2-2-211-2-2111100000000000044-24-2-4-24-222-21-211-21-211-4222-1-122-1-1-1-1000000000000
χ16344-2-244-2-24-2-21-2-2111-2-211-2411-2-2-2-21111000000000000-4-422-4-422-422-122-1-1-122-1-12-4-1-12222-1-1-1-1000000000000-4-422-4-422-422-122-1-1-122-1-12-4-1-12222-1-1-1-100000000000044-2-244-2-24-2-21-2-2111-2-211-2411-2-2-2-21111000000000000
χ16444-2-24-4-2-24221-2-2111-2-2112-4-1-12222-1-1-1-1000000000000-4-422-4422-4-2-2-122-1-1-122-1-1-2411-2-2-2-21111000000000000-4-422-4422-4-2-2-122-1-1-122-1-1-2411-2-2-2-2111100000000000044-2-24-4-2-24221-2-2111-2-2112-4-1-12222-1-1-1-1000000000000
χ16544-2-2-24-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000-4-4222-422222-1-1-11+3i321−3i32-1-1-11+3i321−3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000-4-4222-422222-1-1-11+3i321−3i32-1-1-11+3i321−3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i3200000000000044-2-2-24-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000
χ16644-2-2-24-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000-4-4222-422222-1-1-11−3i321+3i32-1-1-11−3i321+3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000-4-4222-422222-1-1-11−3i321+3i32-1-1-11−3i321+3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i3200000000000044-2-2-24-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000
χ16744-2-2-2-4-2-2-222111−1−3i32−1+3i32111−1−3i32−1+3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000-4-42224222-2-2-1-1-11+3i321−3i32-1-1-11+3i321−3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000-4-42224222-2-2-1-1-11+3i321−3i32-1-1-11+3i321−3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i3200000000000044-2-2-2-4-2-2-222111−1−3i32−1+3i32111−1−3i32−1+3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000
χ16844-2-2-2-4-2-2-222111−1+3i32−1−3i32111−1+3i32−1−3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000-4-42224222-2-2-1-1-11−3i321+3i32-1-1-11−3i321+3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000-4-42224222-2-2-1-1-11−3i321+3i32-1-1-11−3i321+3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i3200000000000044-2-2-2-4-2-2-222111−1+3i32−1−3i32111−1+3i32−1−3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000
χ1694-444-20-4-42004-2-2-2-2-42222000000000000000000000000-44-4-42044-200-422224-2-2-2-2000000000000000000000000-44-4-42044-200-422224-2-2-2-20000000000000000000000004-444-20-4-42004-2-2-2-2-42222000000000000000000000000
χ1704-44-240-42-400-24-2-2-22-4222000000000000000000000000-44-42-404-24002-4222-24-2-2-2000000000000000000000000-44-42-404-24002-4222-24-2-2-20000000000000000000000004-44-240-42-400-24-2-2-22-4222000000000000000000000000
χ1714-44-2-20-42200-2-211122-1-1-10000003i−3i3i−3i−3i3i000000000000-44-42204-2-20022-1-1-1-2-2111000000−3i3i−3i3i3i−3i000000000000-44-42204-2-20022-1-1-1-2-2111000000−3i3i−3i3i3i−3i0000000000004-44-2-20-42200-2-211122-1-1-10000003i−3i3i−3i−3i3i000000000000
χ1724-44-2-20-42200-2-211122-1-1-1000000−3i3i−3i3i3i−3i000000000000-44-42204-2-20022-1-1-1-2-21110000003i−3i3i−3i−3i3i000000000000-44-42204-2-20022-1-1-1-2-21110000003i−3i3i−3i−3i3i0000000000004-44-2-20-42200-2-211122-1-1-1000000−3i3i−3i3i3i−3i000000000000
χ1734-4-24-202-4223−23-21-2112-12-1-10023−23−3300−3−333000000000000-442-420-24-2−23232-12-1-1-21-21100−23233−30033−3−3000000000000-442-420-24-2−23232-12-1-1-21-21100−23233−30033−3−30000000000004-4-24-202-4223−23-21-2112-12-1-10023−23−3300−3−333000000000000
χ1744-4-24-202-42−2323-21-2112-12-1-100−23233−30033−3−3000000000000-442-420-24-223−232-12-1-1-21-2110023−23−3300−3−333000000000000-442-420-24-223−232-12-1-1-21-2110023−23−3300−3−3330000000000004-4-24-202-42−2323-21-2112-12-1-100−23233−30033−3−3000000000000
χ1754-4-2-24022-423−231-2-211-122-1-100−3323−2300−3−333000000000000-4422-40-2-24−2323-122-1-11-2-211003−3−23230033−3−3000000000000-4422-40-2-24−2323-122-1-11-2-211003−3−23230033−3−30000000000004-4-2-24022-423−231-2-211-122-1-100−3323−2300−3−333000000000000
χ1764-4-2-24022-4−23231-2-211-122-1-1003−3−23230033−3−3000000000000-4422-40-2-2423−23-122-1-11-2-21100−3323−2300−3−333000000000000-4422-40-2-2423−23-122-1-11-2-21100−3323−2300−3−3330000000000004-4-2-24022-4−23231-2-211-122-1-1003−3−23230033−3−3000000000000
χ1774-4-2-2-2022223−23111−1−3i32−1+3i32-1-1-11+3i321−3i3200−33−333i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22000000000000-442220-2-2-2−2323-1-1-11+3i321−3i32111−1−3i32−1+3i32003−33−3−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22000000000000-442220-2-2-2−2323-1-1-11+3i321−3i32111−1−3i32−1+3i32003−33−3−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ220000000000004-4-2-2-2022223−23111−1−3i32−1+3i32-1-1-11+3i321−3i3200−33−333i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22000000000000
χ1784-4-2-2-2022223−23111−1+3i32−1−3i32-1-1-11−3i321+3i3200−33−33−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22000000000000-442220-2-2-2−2323-1-1-11−3i321+3i32111−1+3i32−1−3i32003−33−33i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22000000000000-442220-2-2-2−2323-1-1-11−3i321+3i32111−1+3i32−1−3i32003−33−33i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ220000000000004-4-2-2-2022223−23111−1+3i32−1−3i32-1-1-11−3i321+3i3200−33−33−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22000000000000
χ1794-4-2-2-20222−2323111−1−3i32−1+3i32-1-1-11+3i321−3i32003−33−3−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22000000000000-442220-2-2-223−23-1-1-11+3i321−3i32111−1−3i32−1+3i3200−33−333i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22000000000000-442220-2-2-223−23-1-1-11+3i321−3i32111−1−3i32−1+3i3200−33−333i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ220000000000004-4-2-2-20222−2323111−1−3i32−1+3i32-1-1-11+3i321−3i32003−33−3−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22000000000000
χ1804-4-2-2-20222−2323111−1+3i32−1−3i32-1-1-11−3i321+3i32003−33−33i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22000000000000-442220-2-2-223−23-1-1-11−3i321+3i32111−1+3i32−1−3i3200−33−33−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22000000000000-442220-2-2-223−23-1-1-11−3i321+3i32111−1+3i32−1−3i3200−33−33−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ220000000000004-4-2-2-20222−2323111−1+3i32−1−3i32-1-1-11−3i321+3i32003−33−33i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22000000000000

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