Finite Group Databasebeta

← Group #13161826

Character table — Group #13161826

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222222222222244444444444444444444444444444444444444444444181818181818181818181818363636363636363636363636111122222222222222222244444444444444444444444444444444444444444444181818181818181818181818363636363636363636363636
order1222333446666666661212121233333666666666666666121212121212121212121212121212121212121212121212888824242424242424244444121212121212121222226664466666666612121212666666666666666666661212121212121212121212121212121212121212121212128888242424242424242444441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511-1-1111-11-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-1111-11-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i
χ611-1-1111-11-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-1111-11-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii
χ711-1-1111-11-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1111-11-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111i−i−iiii−i−i−i−iii
χ811-1-1111-11-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1111-11-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−iii−i−i−iiiii−i−i
χ92222222-2-2222222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002222222-2-2222222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000
χ10222222-122222-122-12-122222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000000220000-1-1-1-1222222-122222-122-12-122222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000000220000-1-1-1-1
χ11222222-122222-122-12-122222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000000-2-200001111222222-122222-122-12-122222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000000-2-200001111
χ12222222-1-2-2222-122-12-1-2-2-2-22-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-21-21-2-211111111-2-21111111100000000000000000000−i3i3−i3i3222222-1-2-2222-122-12-1-2-2-2-22-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-21-21-2-211111111-2-21111111100000000000000000000−i3i3−i3i3
χ13222222-1-2-2222-122-12-1-2-2-2-22-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-21-21-2-211111111-2-21111111100000000000000000000i3−i3i3−i3222222-1-2-2222-122-12-1-2-2-2-22-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-21-21-2-211111111-2-21111111100000000000000000000i3−i3i3−i3
χ1422222-122222-122-12-122222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-12-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000002200-1-1-1-1000022222-122222-122-12-122222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-12-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000002200-1-1-1-10000
χ1522222-122222-122-12-122222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-12-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000000-2-2001111000022222-122222-122-12-122222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-12-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000000-2-20011110000
χ1622222-12-2-222-122-12-12-2-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-11-21-211-2-211111111-2-21111110000000000000000−i3i3−i3i3000022222-12-2-222-122-12-12-2-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-11-21-211-2-211111111-2-21111110000000000000000−i3i3−i3i30000
χ1722222-12-2-222-122-12-12-2-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-11-21-211-2-211111111-2-21111110000000000000000i3−i3i3−i3000022222-12-2-222-122-12-12-2-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-11-21-211-2-211111111-2-21111110000000000000000i3−i3i3−i30000
χ182222-12222-1-122-12222-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000000000002222-12222-1-122-12222-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ192222-12222-1-122-12222-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111110000000000002222-12222-1-122-12222-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111000000000000
χ202222-122-2-2-1-122-122221111-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-21111-2-211111111-2-21111000033−3−333−3−30000000000002222-122-2-2-1-122-122221111-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-21111-2-211111111-2-21111000033−3−333−3−3000000000000
χ212222-122-2-2-1-122-122221111-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-21111-2-211111111-2-211110000−3−333−3−3330000000000002222-122-2-2-1-122-122221111-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-21111-2-211111111-2-211110000−3−333−3−333000000000000
χ2222-2-22222-2-2-2-2-2222-2-222-2-222222-2-2-2-2-2-2-2-2-2-222222-2-222-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000000022-2-22222-2-2-2-2-2222-2-222-2-222222-2-2-2-2-2-2-2-2-2-222222-2-222-2-2-2-2-2-2-2-2-2-22222222222000000000000000000000000
χ2322-2-222-12-2-2-2-2122-1-2122-2-22-1-1-1-1-2-2111111112-1-1-1-1-212-1-2-21111111122-1-1-1-1-1-1-1-1000000000000000000003−3−3322-2-222-12-2-2-2-2122-1-2122-2-22-1-1-1-1-2-2111111112-1-1-1-1-212-1-2-21111111122-1-1-1-1-1-1-1-1000000000000000000003−3−33
χ2422-2-222-12-2-2-2-2122-1-2122-2-22-1-1-1-1-2-2111111112-1-1-1-1-212-1-2-21111111122-1-1-1-1-1-1-1-100000000000000000000−333−322-2-222-12-2-2-2-2122-1-2122-2-22-1-1-1-1-2-2111111112-1-1-1-1-212-1-2-21111111122-1-1-1-1-1-1-1-100000000000000000000−333−3
χ2522-2-222-1-22-2-2-2122-1-21-2-2222-1-1-1-1-2-2111111112-1-1-1-12-1-2122-1-1-1-1-1-1-1-1-2-211111111000000000000002i−2i0000−i−iii22-2-222-1-22-2-2-2122-1-21-2-2222-1-1-1-1-2-2111111112-1-1-1-12-1-2122-1-1-1-1-1-1-1-1-2-211111111000000000000002i−2i0000−i−iii
χ2622-2-222-1-22-2-2-2122-1-21-2-2222-1-1-1-1-2-2111111112-1-1-1-12-1-2122-1-1-1-1-1-1-1-1-2-21111111100000000000000−2i2i0000ii−i−i22-2-222-1-22-2-2-2122-1-21-2-2222-1-1-1-1-2-2111111112-1-1-1-12-1-2122-1-1-1-1-1-1-1-1-2-21111111100000000000000−2i2i0000ii−i−i
χ2722-2-22-122-2-2-21-22-121-222-2-2-12-1-1-111-2-2111111-12-1-1-11-2-1211-2-2111111-1-122-1-1-1-1-1-100000000000000003−3−33000022-2-22-122-2-2-21-22-121-222-2-2-12-1-1-111-2-2111111-12-1-1-11-2-1211-2-2111111-1-122-1-1-1-1-1-100000000000000003−3−330000
χ2822-2-22-122-2-2-21-22-121-222-2-2-12-1-1-111-2-2111111-12-1-1-11-2-1211-2-2111111-1-122-1-1-1-1-1-10000000000000000−333−3000022-2-22-122-2-2-21-22-121-222-2-2-12-1-1-111-2-2111111-12-1-1-11-2-1211-2-2111111-1-122-1-1-1-1-1-10000000000000000−333−30000
χ2922-2-22-12-22-2-21-22-121-2-2-222-12-1-1-111-2-2111111-12-1-1-1-121-2-1-122-1-1-1-1-1-111-2-21111110000000000002i−2i00−i−iii000022-2-22-12-22-2-21-22-121-2-2-222-12-1-1-111-2-2111111-12-1-1-1-121-2-1-122-1-1-1-1-1-111-2-21111110000000000002i−2i00−i−iii0000
χ3022-2-22-12-22-2-21-22-121-2-2-222-12-1-1-111-2-2111111-12-1-1-1-121-2-1-122-1-1-1-1-1-111-2-2111111000000000000−2i2i00ii−i−i000022-2-22-12-22-2-21-22-121-2-2-222-12-1-1-111-2-2111111-12-1-1-1-121-2-1-122-1-1-1-1-1-111-2-2111111000000000000−2i2i00ii−i−i0000
χ3122-2-2-1222-211-2-2-122-2-2-1-111-1-12-1-11111-2-21111-1-12-1-1-2-2221111-2-21111-1-1-1-122-1-1-1-1000033−3−3−3−33300000000000022-2-2-1222-211-2-2-122-2-2-1-111-1-12-1-11111-2-21111-1-12-1-1-2-2221111-2-21111-1-1-1-122-1-1-1-1000033−3−3−3−333000000000000
χ3222-2-2-1222-211-2-2-122-2-2-1-111-1-12-1-11111-2-21111-1-12-1-1-2-2221111-2-21111-1-1-1-122-1-1-1-10000−3−33333−3−300000000000022-2-2-1222-211-2-2-122-2-2-1-111-1-12-1-11111-2-21111-1-12-1-1-2-2221111-2-21111-1-1-1-122-1-1-1-10000−3−33333−3−3000000000000
χ3322-2-2-122-2211-2-2-122-2-211-1-1-1-12-1-11111-2-21111-1-12-1-122-2-2-1-1-1-122-1-1-1-11111-2-2111122-2-2-1-1-1-1111100000000000022-2-2-122-2211-2-2-122-2-211-1-1-1-12-1-11111-2-21111-1-12-1-122-2-2-1-1-1-122-1-1-1-11111-2-2111122-2-2-1-1-1-11111000000000000
χ3422-2-2-122-2211-2-2-122-2-211-1-1-1-12-1-11111-2-21111-1-12-1-122-2-2-1-1-1-122-1-1-1-11111-2-21111-2-2221111-1-1-1-100000000000022-2-2-122-2211-2-2-122-2-211-1-1-1-12-1-11111-2-21111-1-12-1-122-2-2-1-1-1-122-1-1-1-11111-2-21111-2-2221111-1-1-1-1000000000000
χ352-22-2222002-22-2-2-2-2-220000222222-22-22-222-2-2-2-2-2-2-2000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000002-22-2222002-22-2-2-2-2-220000222222-22-22-222-2-2-2-2-2-2-2000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ362-22-2222002-22-2-2-2-2-220000222222-22-22-222-2-2-2-2-2-2-2000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000002-22-2222002-22-2-2-2-2-220000222222-22-22-222-2-2-2-2-2-2-2000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ372-22-2-12200-112-21-2-2-223−33−3-1-12-1-1-11-112-2-1-11111-21100003−33−30033−3−33−33−30033−3−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000002-22-2-12200-112-21-2-2-223−33−3-1-12-1-1-11-112-2-1-11111-21100003−33−30033−3−33−33−30033−3−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ382-22-2-12200-112-21-2-2-223−33−3-1-12-1-1-11-112-2-1-11111-21100003−33−30033−3−33−33−30033−3−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000002-22-2-12200-112-21-2-2-223−33−3-1-12-1-1-11-112-2-1-11111-21100003−33−30033−3−33−33−30033−3−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ392-22-2-12200-112-21-2-2-22−33−33-1-12-1-1-11-112-2-1-11111-2110000−33−3300−3−333−33−3300−3−333−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000002-22-2-12200-112-21-2-2-22−33−33-1-12-1-1-11-112-2-1-11111-2110000−33−3300−3−333−33−3300−3−333−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ402-22-2-12200-112-21-2-2-22−33−33-1-12-1-1-11-112-2-1-11111-2110000−33−3300−3−333−33−3300−3−333i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000002-22-2-12200-112-21-2-2-22−33−33-1-12-1-1-11-112-2-1-11111-2110000−33−3300−3−333−33−3300−3−333i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ412-2-2222200-22-22-2-2-22-2000022222-22-22-22-2-222-2-2-2-2-2000000000000000000000000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000002-2-2222200-22-22-2-2-22-2000022222-22-22-22-2-222-2-2-2-2-2000000000000000000000000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000
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χ1664-44-4-2-2-200-22-222222-223−2323−23111−1+3i32−1−3i321-11-11-1−1+3i32−1−3i321−3i321+3i32-1-1-11−3i321+3i320000−33−33−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−33−33−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22000000000000000000000000-44-44222002-22-2-2-2-2-22−2323−2323-1-1-11−3i321+3i32-11-11-111−3i321+3i32−1+3i32−1−3i32111−1+3i32−1−3i3200003−33−33i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ223−33−33i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22000000000000000000000000
χ1674-44-4-2-2-200-22-222222-2−2323−2323111−1−3i32−1+3i321-11-11-1−1−3i32−1+3i321+3i321−3i32-1-1-11+3i321−3i3200003−33−3−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ223−33−3−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22000000000000000000000000-44-44222002-22-2-2-2-2-2223−2323−23-1-1-11+3i321−3i32-11-11-111+3i321−3i32−1−3i32−1+3i32111−1−3i32−1+3i320000−33−333i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22−33−333i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22000000000000000000000000
χ1684-44-4-2-2-200-22-222222-2−2323−2323111−1+3i32−1−3i321-11-11-1−1+3i32−1−3i321−3i321+3i32-1-1-11−3i321+3i3200003−33−33i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ223−33−33i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22000000000000000000000000-44-44222002-22-2-2-2-2-2223−2323−23-1-1-11−3i321+3i32-11-11-111−3i321+3i32−1+3i32−1−3i32111−1+3i32−1−3i320000−33−33−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−33−33−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22000000000000000000000000
χ1694-4-4444-200-44-4-2-4-424200004-2-2-2-2-442-22-222-2-2-42222000000000000000000000000000000000000000000000000-444-4-4-42004-44244-2-4-20000-422224-4-22-22-2-2224-2-2-2-2000000000000000000000000000000000000000000000000
χ1704-4-444-2400-4424-42-4-2-40000-24-2-2-22-2-442-222-2-22-4222000000000000000000000000000000000000000000000000-444-4-42-4004-4-2-44-242400002-4222-224-4-22-2-222-24-2-2-2000000000000000000000000000000000000000000000000
χ1714-4-444-2-200-442-2-422-220000-2-21112-22-2-11-1-11122-1-1-1000000003i−3i3i−3i−3i3i0000−3i3i−3i3i3i−3i000000000000000000000000-444-4-422004-4-224-2-22-2000022-1-1-1-22-221-111-1-1-2-211100000000−3i3i−3i3i3i−3i00003i−3i3i−3i−3i3i000000000000000000000000
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χ1734-4-44-24-2002-2-4-22-424223−23−2323-21-2112-2-112-2-1-1112-12-1-10000−23233−30033−3−323−23−3300−3−333000000000000000000000000-444-42-4200-2242-24-2-4-2−232323−232-12-1-1-221-1-2211-1-1-21-211000023−23−3300−3−333−23233−30033−3−3000000000000000000000000
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χ1754-4-44-2-24002-22422-4-2-423−23−23231-2-211-112-22-2-1-111-122-1-100003−3−23230033−3−3−3323−2300−3−333000000000000000000000000-444-422-400-22-2-4-2-2424−232323−23-122-1-11-1-22-2211-1-11-2-2110000−3323−2300−3−3333−3−23230033−3−3000000000000000000000000
χ1764-4-44-2-24002-22422-4-2-4−232323−231-2-211-112-22-2-1-111-122-1-10000−3323−2300−3−3333−3−23230033−3−3000000000000000000000000-444-422-400-22-2-4-2-242423−23−2323-122-1-11-1-22-2211-1-11-2-21100003−3−23230033−3−3−3323−2300−3−333000000000000000000000000
χ1774-4-44-2-2-2002-22-2222-2223−23−2323111−1−3i32−1+3i32-11-11-111+3i321−3i32−1−3i32−1+3i32-1-1-11+3i321−3i3200003−33−3−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−33−333i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22000000000000000000000000-444-422200-22-22-2-2-22-2−232323−23-1-1-11+3i321−3i321-11-11-1−1−3i32−1+3i321+3i321−3i32111−1−3i32−1+3i320000−33−333i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ223−33−3−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22000000000000000000000000
χ1784-4-44-2-2-2002-22-2222-2223−23−2323111−1+3i32−1−3i32-11-11-111−3i321+3i32−1+3i32−1−3i32-1-1-11−3i321+3i3200003−33−33i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−33−33−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22000000000000000000000000-444-422200-22-22-2-2-22-2−232323−23-1-1-11−3i321+3i321-11-11-1−1+3i32−1−3i321−3i321+3i32111−1+3i32−1−3i320000−33−33−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ223−33−33i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22000000000000000000000000
χ1794-4-44-2-2-2002-22-2222-22−232323−23111−1−3i32−1+3i32-11-11-111+3i321−3i32−1−3i32−1+3i32-1-1-11+3i321−3i320000−33−333i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ223−33−3−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22000000000000000000000000-444-422200-22-22-2-2-22-223−23−2323-1-1-11+3i321−3i321-11-11-1−1−3i32−1+3i321+3i321−3i32111−1−3i32−1+3i3200003−33−3−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−33−333i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22000000000000000000000000
χ1804-4-44-2-2-2002-22-2222-22−232323−23111−1+3i32−1−3i32-11-11-111−3i321+3i32−1+3i32−1−3i32-1-1-11−3i321+3i320000−33−33−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ223−33−33i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22000000000000000000000000-444-422200-22-22-2-2-22-223−23−2323-1-1-11−3i321+3i321-11-11-1−1+3i32−1−3i321−3i321+3i32111−1+3i32−1−3i3200003−33−33i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−33−33−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22000000000000000000000000

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