Finite Group Databasebeta

← Group #13173368

Character table — Group #13173368

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444999918181818181818181818181818181818181818181818108108108108108108108108
order124423466688881212121224242424242424243333336666666666666666661212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242244246666888812121212242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111ii−i−i−i−iii
χ81111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−iiiii−i−i
χ911-1-1-111-1-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-111-1-11111-1-1-1-1i−ii−ii−ii−i
χ1011-1-1-111-1-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-111-1-11111-1-1-1-1−ii−ii−ii−ii
χ1111-1-1-111-1-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-111-1-1-1-111111-11-1-11-11
χ1211-1-1-111-1-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-111-1-1-1-11111-11-111-11-1
χ1311-1-1-111-1-11-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1111-1-1-1-11111-1-1-1-1-1-11111i−i−iii−i−ii
χ1411-1-1-111-1-11-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−iii−i
χ1511-1-1-111-1-11-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1111-1-1-11111-1-1-1-1111111-1-1-1-11-1-11-111-1
χ1611-1-1-111-1-11-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1111-1-1-11111-1-1-1-1111111-1-1-1-1-111-11-1-11
χ1722222-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1822222-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-2-2-2-211111111111100000000
χ1922222-12-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-2-2-2-2-2-2-21111111111111111222222-1-1-1-1-2-2-2-2-1-1-1-11111111100000000
χ2022222-12-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-2-2-2-2-2-2-21111111111111111-2-2-2-2-2-2111122221111-1-1-1-1-1-1-1-100000000
χ212222-22-2-2-22000022-2-200000000222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002222-2-222-2-20000-2-2220000000000000000
χ222222-22-2-2-22000022-2-200000000222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-2-2-222-2-222000022-2-20000000000000000
χ232222-2-1-211-10000-1-11133−3−333−3−322-1-1-1-1-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000033333333−3−3−3−3−3−3−3−30000000033333333−3−3−3−3−3−3−3−32222-2-2-1-111000011-1-133−3−333−3−300000000
χ242222-2-1-211-10000-1-11133−3−333−3−322-1-1-1-1-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000033333333−3−3−3−3−3−3−3−30000000033333333−3−3−3−3−3−3−3−3-2-2-2-22211-1-10000-1-111−3−333−3−33300000000
χ252222-2-1-211-10000-1-111−3−333−3−33322-1-1-1-1-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000−3−3−3−3−3−3−3−33333333300000000−3−3−3−3−3−3−3−3333333332222-2-2-1-111000011-1-1−3−333−3−33300000000
χ262222-2-1-211-10000-1-111−3−333−3−33322-1-1-1-1-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000−3−3−3−3−3−3−3−33333333300000000−3−3−3−3−3−3−3−333333333-2-2-2-22211-1-10000-1-11133−3−333−3−300000000
χ2722-2-222-22220000-2-2-2-200000000222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000022-2-22-222220000-2-2-2-20000000000000000
χ2822-2-222-22220000-2-2-2-200000000222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-222-22-2-2-2-2000022220000000000000000
χ2922-2-22-1-2-1-1-10000111133−3−3−3−33322-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-2111111110000000033333333−3−3−3−3−3−3−3−300000000−3−3−3−3−3−3−3−33333333322-2-22-2-1-1-1-10000111133−3−3−3−33300000000
χ3022-2-22-1-2-1-1-10000111133−3−3−3−33322-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-2111111110000000033333333−3−3−3−3−3−3−3−300000000−3−3−3−3−3−3−3−333333333-2-222-2211110000-1-1-1-1−3−33333−3−300000000
χ3122-2-22-1-2-1-1-100001111−3−33333−3−322-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-21111111100000000−3−3−3−3−3−3−3−3333333330000000033333333−3−3−3−3−3−3−3−322-2-22-2-1-1-1-100001111−3−33333−3−300000000
χ3222-2-22-1-2-1-1-100001111−3−33333−3−322-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-21111111100000000−3−3−3−3−3−3−3−3333333330000000033333333−3−3−3−3−3−3−3−3-2-222-2211110000-1-1-1-133−3−3−3−33300000000
χ3322-2-2-2-1211-122-2-211-1-1-1-1-1-1111122-1-1-1-1-2-2-2-21111111122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111122-2-2-22-1-11122-2-2-1-111-1-1-1-1111100000000
χ3422-2-2-2-1211-122-2-211-1-1-1-1-1-1111122-1-1-1-1-2-2-2-21111111122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-2222-211-1-1-2-22211-1-11111-1-1-1-100000000
χ3522-2-2-2-1211-1-2-22211-1-11111-1-1-1-122-1-1-1-1-2-2-2-21111111122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-22-1-111-2-222-1-1111111-1-1-1-100000000
χ3622-2-2-2-1211-1-2-22211-1-11111-1-1-1-122-1-1-1-1-2-2-2-21111111122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2222-211-1-122-2-211-1-1-1-1-1-1111100000000
χ372-22i−2i02000-22−2−i2i22i−2i002−22−2−i2i2−i2i2222222000000000000-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i22-22i−2i002-2002−2−i2i2002i−2i2−22−2−i2i2−i2i200000000
χ382-22i−2i02000-22−2−i2i22i−2i002−22−2−i2i2−i2i2222222000000000000-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2-22−2i2i00-2200−22i2−i200−2i2i−22−22i2−i2i2−i200000000
χ392-22i−2i02000-2−22i2−i22i−2i00−22−22i2−i2i2−i2222222000000000000-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i22-22i−2i002-200−22i2−i2002i−2i−22−22i2−i2i2−i200000000
χ402-22i−2i02000-2−22i2−i22i−2i00−22−22i2−i2i2−i2222222000000000000-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2-22−2i2i00-22002−2−i2i200−2i2i2−22−2−i2i2−i2i200000000
χ412-22i−2i0-10−i3i312−2−i2i2−ii3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ722-1-1-1-10000−i3−i3−i3−i3i3i3i3i3-2-211112i2i−2i−2i−i−i−i−iiiii00003333−3−3−3−32222−2−2−2−2ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−i2−i2−i2−i2i2i2i2i2ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ72-22i−2i00-11−i3i32−2−i2i23−3−iiζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
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χ1464-4−4i4i0-20−2i32i32−2222−2i22i22i−2i−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ231-2−1+3i32−1−3i3211-33003−i32−3−i32i3i3−3+i323+i32−i3−i3-121−3i321+3i32-1-1−i2ii−2i−2ζ14+ζ22ζ14−2ζ22−i−i2ζ14−ζ22−ζ14+2ζ22ii3i−3i002ζ14+ζ22−ζ14−2ζ2233−2ζ14−ζ22ζ14+2ζ22−3−3−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2ζ13+2ζ23−2ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13−2ζ232ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−2ζ5−ζ7ζ5+2ζ7ζ5−ζ7ζ5−ζ72ζ5+ζ7−ζ5−2ζ7−ζ5+ζ7−ζ5+ζ7−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2−i22ζ5−ζ7−ζ5+2ζ7−ζ5−ζ7−ζ5−ζ7−2ζ5+ζ7ζ5−2ζ7ζ5+ζ7ζ5+ζ7−ζ13+2ζ232ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13−2ζ23−2ζ13+ζ23ζ13+ζ23ζ13+ζ230000000000000000000000000000000000
χ1474-4−4i4i0-20−2i32i32−2222−2i22i22i−2i−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23-2111−1−3i32−1+3i32003-3i3i3−3−i323−i32−i3−i33+i32−3+i322-1-1-11+3i321−3i322i−i−2ii−i−iζ14−2ζ22−2ζ14+ζ22ii−ζ14+2ζ222ζ14−ζ2200−3i3i33−ζ14−2ζ222ζ14+ζ22−3−3ζ14+2ζ22−2ζ14−ζ22222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23ζ13−ζ23ζ13−ζ23−2ζ13−ζ23ζ13+2ζ23−ζ13+ζ23−ζ13+ζ232ζ13+ζ23−ζ13−2ζ23ζ5−ζ7ζ5−ζ7ζ5+2ζ7−2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5−2ζ72ζ5+ζ7i2i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−i2−i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5−ζ7−ζ5−ζ7−ζ5+2ζ72ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5−2ζ7−2ζ5+ζ7−ζ13−ζ23−ζ13−ζ232ζ13−ζ23−ζ13+2ζ23ζ13+ζ23ζ13+ζ23−2ζ13+ζ23ζ13−2ζ230000000000000000000000000000000000
χ1484-4−4i4i0-20−2i32i32−2222−2i22i22i−2i−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23-2111−1+3i32−1−3i3200-33i3i33−i32−3−i32−i3−i3−3+i323+i322-1-1-11−3i321+3i322i−i−2ii−i−i−2ζ14+ζ22ζ14−2ζ22ii2ζ14−ζ22−ζ14+2ζ22003i−3i332ζ14+ζ22−ζ14−2ζ22−3−3−2ζ14−ζ22ζ14+2ζ2222−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13+2ζ23−2ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13−2ζ232ζ13+ζ23ζ5−ζ7ζ5−ζ7−2ζ5−ζ7ζ5+2ζ7−ζ5+ζ7−ζ5+ζ72ζ5+ζ7−ζ5−2ζ7i2i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−i2−i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5−ζ7−ζ5−ζ72ζ5−ζ7−ζ5+2ζ7ζ5+ζ7ζ5+ζ7−2ζ5+ζ7ζ5−2ζ7−ζ13−ζ23−ζ13−ζ23−ζ13+2ζ232ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13−2ζ23−2ζ13+ζ230000000000000000000000000000000000
χ1494-4−4i4i0-202i3−2i3222−222i2−2i22i−2i23−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ71-2−1−3i32−1+3i3211-33003+i32−3+i32−i3−i3−3−i323−i32i3i3-121+3i321−3i32-1-1−i2ii−2iζ14−2ζ22−2ζ14+ζ22−i−i−ζ14+2ζ222ζ14−ζ22ii3i−3i00ζ14+2ζ22−2ζ14−ζ22−3−3−ζ14−2ζ222ζ14+ζ2233ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322−ζ5−2ζ72ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5+2ζ7−2ζ5−ζ7ζ5−ζ7ζ5−ζ72ζ13+ζ23−ζ13−2ζ23−ζ13+ζ23−ζ13+ζ23−2ζ13−ζ23ζ13+2ζ23ζ13−ζ23ζ13−ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2i2−2ζ13+ζ23ζ13−2ζ23ζ13+ζ23ζ13+ζ232ζ13−ζ23−ζ13+2ζ23−ζ13−ζ23−ζ13−ζ23ζ5−2ζ7−2ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5+2ζ72ζ5−ζ7−ζ5−ζ7−ζ5−ζ70000000000000000000000000000000000
χ1504-4−4i4i0-202i3−2i3222−222i2−2i22i−2i23−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ71-2−1+3i32−1−3i32113-300−3+i323+i32−i3−i33−i32−3−i32i3i3-121−3i321+3i32-1-1−i2ii−2i−2ζ14+ζ22ζ14−2ζ22−i−i2ζ14−ζ22−ζ14+2ζ22ii−3i3i00−2ζ14−ζ22ζ14+2ζ22−3−32ζ14+ζ22−ζ14−2ζ2233−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23222ζ5+ζ7−ζ5−2ζ7−ζ5+ζ7−ζ5+ζ7−2ζ5−ζ7ζ5+2ζ7ζ5−ζ7ζ5−ζ7−ζ13−2ζ232ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13+2ζ23−2ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2i2ζ13−2ζ23−2ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13+2ζ232ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−2ζ5+ζ7ζ5−2ζ7ζ5+ζ7ζ5+ζ72ζ5−ζ7−ζ5+2ζ7−ζ5−ζ7−ζ5−ζ70000000000000000000000000000000000
χ1514-4−4i4i0-202i3−2i3222−222i2−2i22i−2i23−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7-2111−1−3i32−1+3i3200-33−i3−i33+i32−3+i32i3i3−3−i323−i322-1-1-11+3i321−3i322i−i−2ii−i−iζ14−2ζ22−2ζ14+ζ22ii−ζ14+2ζ222ζ14−ζ22003i−3i−3−3ζ14+2ζ22−2ζ14−ζ2233−ζ14−2ζ222ζ14+ζ22−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2322−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5+ζ7−ζ5+ζ7−ζ5−2ζ72ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5+2ζ7−2ζ5−ζ7−ζ13+ζ23−ζ13+ζ232ζ13+ζ23−ζ13−2ζ23ζ13−ζ23ζ13−ζ23−2ζ13−ζ23ζ13+2ζ23−i2−i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23i2i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23ζ13+ζ23ζ13+ζ23−2ζ13+ζ23ζ13−2ζ23−ζ13−ζ23−ζ13−ζ232ζ13−ζ23−ζ13+2ζ23ζ5+ζ7ζ5+ζ7ζ5−2ζ7−2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5+2ζ72ζ5−ζ70000000000000000000000000000000000
χ1524-4−4i4i0-202i3−2i3222−222i2−2i22i−2i23−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7-2111−1+3i32−1−3i32003-3−i3−i3−3+i323+i32i3i33−i32−3−i322-1-1-11−3i321+3i322i−i−2ii−i−i−2ζ14+ζ22ζ14−2ζ22ii2ζ14−ζ22−ζ14+2ζ2200−3i3i−3−3−2ζ14−ζ22ζ14+2ζ22332ζ14+ζ22−ζ14−2ζ22−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5+ζ7−ζ5+ζ72ζ5+ζ7−ζ5−2ζ7ζ5−ζ7ζ5−ζ7−2ζ5−ζ7ζ5+2ζ7−ζ13+ζ23−ζ13+ζ23−ζ13−2ζ232ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13+2ζ23−2ζ13−ζ23−i2−i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23i2i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13−2ζ23−2ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13+2ζ232ζ13−ζ23ζ5+ζ7ζ5+ζ7−2ζ5+ζ7ζ5−2ζ7−ζ5−ζ7−ζ5−ζ72ζ5−ζ7−ζ5+2ζ70000000000000000000000000000000000
χ1534-4−4i4i0-202i3−2i32−2222−2i22i22i−2i23−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ71-2−1−3i32−1+3i3211-33003+i32−3+i32−i3−i3−3−i323−i32i3i3-121+3i321−3i32-1-1−i2ii−2iζ14−2ζ22−2ζ14+ζ22−i−i−ζ14+2ζ222ζ14−ζ22ii3i−3i00ζ14+2ζ22−2ζ14−ζ22−3−3−ζ14−2ζ222ζ14+ζ2233−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2ζ5+2ζ7−2ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5−2ζ72ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−2ζ13−ζ23ζ13+2ζ23ζ13−ζ23ζ13−ζ232ζ13+ζ23−ζ13−2ζ23−ζ13+ζ23−ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2−i22ζ13−ζ23−ζ13+2ζ23−ζ13−ζ23−ζ13−ζ23−2ζ13+ζ23ζ13−2ζ23ζ13+ζ23ζ13+ζ23−ζ5+2ζ72ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5−2ζ7−2ζ5+ζ7ζ5+ζ7ζ5+ζ70000000000000000000000000000000000
χ1544-4−4i4i0-202i3−2i32−2222−2i22i22i−2i23−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ71-2−1+3i32−1−3i32113-300−3+i323+i32−i3−i33−i32−3−i32i3i3-121−3i321+3i32-1-1−i2ii−2i−2ζ14+ζ22ζ14−2ζ22−i−i2ζ14−ζ22−ζ14+2ζ22ii−3i3i00−2ζ14−ζ22ζ14+2ζ22−3−32ζ14+ζ22−ζ14−2ζ22332ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−2−2ζ5−ζ7ζ5+2ζ7ζ5−ζ7ζ5−ζ72ζ5+ζ7−ζ5−2ζ7−ζ5+ζ7−ζ5+ζ7ζ13+2ζ23−2ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13−2ζ232ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2−i2−ζ13+2ζ232ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13−2ζ23−2ζ13+ζ23ζ13+ζ23ζ13+ζ232ζ5−ζ7−ζ5+2ζ7−ζ5−ζ7−ζ5−ζ7−2ζ5+ζ7ζ5−2ζ7ζ5+ζ7ζ5+ζ70000000000000000000000000000000000
χ1554-4−4i4i0-202i3−2i32−2222−2i22i22i−2i23−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7-2111−1−3i32−1+3i3200-33−i3−i33+i32−3+i32i3i3−3−i323−i322-1-1-11+3i321−3i322i−i−2ii−i−iζ14−2ζ22−2ζ14+ζ22ii−ζ14+2ζ222ζ14−ζ22003i−3i−3−3ζ14+2ζ22−2ζ14−ζ2233−ζ14−2ζ222ζ14+ζ2222−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5−ζ7ζ5−ζ7ζ5+2ζ7−2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5−2ζ72ζ5+ζ7ζ13−ζ23ζ13−ζ23−2ζ13−ζ23ζ13+2ζ23−ζ13+ζ23−ζ13+ζ232ζ13+ζ23−ζ13−2ζ23i2i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−i2−i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ13−ζ23−ζ13−ζ232ζ13−ζ23−ζ13+2ζ23ζ13+ζ23ζ13+ζ23−2ζ13+ζ23ζ13−2ζ23−ζ5−ζ7−ζ5−ζ7−ζ5+2ζ72ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5−2ζ7−2ζ5+ζ70000000000000000000000000000000000
χ1564-4−4i4i0-202i3−2i32−2222−2i22i22i−2i23−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7-2111−1+3i32−1−3i32003-3−i3−i3−3+i323+i32i3i33−i32−3−i322-1-1-11−3i321+3i322i−i−2ii−i−i−2ζ14+ζ22ζ14−2ζ22ii2ζ14−ζ22−ζ14+2ζ2200−3i3i−3−3−2ζ14−ζ22ζ14+2ζ22332ζ14+ζ22−ζ14−2ζ22222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23ζ5−ζ7ζ5−ζ7−2ζ5−ζ7ζ5+2ζ7−ζ5+ζ7−ζ5+ζ72ζ5+ζ7−ζ5−2ζ7ζ13−ζ23ζ13−ζ23ζ13+2ζ23−2ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13−2ζ232ζ13+ζ23i2i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−i2−i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13+2ζ232ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13−2ζ23−2ζ13+ζ23−ζ5−ζ7−ζ5−ζ72ζ5−ζ7−ζ5+2ζ7ζ5+ζ7ζ5+ζ7−2ζ5+ζ7ζ5−2ζ70000000000000000000000000000000000

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