Finite Group Databasebeta

← Group #13147353

Character table — Group #13147353

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111112222222229999991212121212121212121212121212121218181818181818181836363636363636363636363611111122222222299999912121212121212121212121212121212181818181818181818363636363636363636363636
order123366488121224242424226666336612121212242424242424242448812122424242444441212121212121212226666488121224242424226666666612121212242424242424242448812122424242444441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i
χ4111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii
χ51111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-11-111-1-111-1-11111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-11-111-1-111-1-1
χ61111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11-11-1-111-1-1111111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11-11-1-111-1-111
χ71111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11111i−i−iiii−i−i−i−iii1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11111i−i−iiii−i−i−i−iii
χ81111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11111−iii−i−i−iiiii−i−i1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11111−iii−i−i−iiiii−i−i
χ9222222-200-2-200002222222222-2-2-2-200000000-200-2-20000000000000000222222-200-2-200002222222222-2-2-2-200000000-200-2-20000000000000000
χ10222222-200-2-20000-2-2-2-2-2-22222-2-2-2-200000000200220000000000000000222222-200-2-20000-2-2-2-2-2-22222-2-2-2-200000000200220000000000000000
χ112-222-2-202−20022−2−22-222-2-222-2-200002222−2−2−2−202−20022−2−20000000000002-222-2-202−20022−2−22-222-2-222-2-200002222−2−2−2−202−20022−2−2000000000000
χ122-222-2-202−20022−2−2-22-2-22222-2-200002222−2−2−2−20−2200−2−2220000000000002-222-2-202−20022−2−2-22-2-22222-2-200002222−2−2−2−20−2200−2−222000000000000
χ132-222-2-20−2200−2−2222-222-2-222-2-20000−2−2−2−222220−2200−2−2220000000000002-222-2-20−2200−2−2222-222-2-222-2-20000−2−2−2−222220−2200−2−222000000000000
χ142-222-2-20−2200−2−222-22-2-22222-2-20000−2−2−2−2222202−20022−2−20000000000002-222-2-20−2200−2−222-22-2-22222-2-20000−2−2−2−2222202−20022−2−2000000000000
χ1533−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i320000000000000000111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32ii−i−iζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ2233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i320000000000000000111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32ii−i−iζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22
χ1633−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i320000000000000000111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−i−iii−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ2233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i320000000000000000111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−i−iii−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22
χ1733−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i320000000000000000-1-1-11+i321−i321+i321−i321+i321−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i320000000000000000-1-1-11+i321−i321+i321−i321+i321−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ1833−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i320000000000000000-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i320000000000000000-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ1933−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000000000001-1-1−1−i32−1+i321+i321−i321+i321−i32i−i−iiζ14ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ2233−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000000000001-1-1−1−i32−1+i321+i321−i321+i321−i32i−i−iiζ14ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22
χ2033−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000000000001-1-1−1−i32−1+i321+i321−i321+i321−i32−iii−i−ζ14−ζ22ζ14ζ22ζ14ζ22−ζ14−ζ2233−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000000000001-1-1−1−i32−1+i321+i321−i321+i321−i32−iii−i−ζ14−ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22
χ2133−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-11+i321−i321+i321−i320000000000000000-1111+i321−i32−1−i32−1+i32−1−i32−1+i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i3233−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-11+i321−i321+i321−i320000000000000000-1111+i321−i32−1−i32−1+i32−1−i32−1+i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ2233−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-11+i321−i321+i321−i320000000000000000-1111+i321−i32−1−i32−1+i32−1−i32−1+i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i3233−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-11+i321−i321+i321−i320000000000000000-1111+i321−i32−1−i32−1+i32−1−i32−1+i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ2333−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i320000000000000000111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32ii−i−iζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ1433−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i320000000000000000111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32ii−i−iζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14
χ2433−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i320000000000000000111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−i−iii−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ1433−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i320000000000000000111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−i−iii−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14
χ2533−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i320000000000000000-1-1-11−i321+i321−i321+i321−i321+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i320000000000000000-1-1-11−i321+i321−i321+i321−i321+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ2633−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i320000000000000000-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i320000000000000000-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ2733−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000000000001-1-1−1+i32−1−i321−i321+i321−i321+i32i−i−iiζ22ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ1433−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000000000001-1-1−1+i32−1−i321−i321+i321−i321+i32i−i−iiζ22ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14
χ2833−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000000000001-1-1−1+i32−1−i321−i321+i321−i321+i32−iii−i−ζ22−ζ14ζ22ζ14ζ22ζ14−ζ22−ζ1433−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000000000001-1-1−1+i32−1−i321−i321+i321−i321+i32−iii−i−ζ22−ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14
χ2933−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-1-11−i321+i321−i321+i320000000000000000-1111−i321+i32−1+i32−1−i32−1+i32−1−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i3233−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-1-11−i321+i321−i321+i320000000000000000-1111−i321+i32−1+i32−1−i32−1+i32−1−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ3033−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-1-11−i321+i321−i321+i320000000000000000-1111−i321+i32−1+i32−1−i32−1+i32−1−i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3233−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-1-11−i321+i321−i321+i320000000000000000-1111−i321+i32−1+i32−1−i32−1+i32−1−i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ314444444444444440000001-21-211-2-211-2-211-2-20000000000000000000004444444444444440000001-21-211-2-211-2-211-2-2000000000000000000000
χ32444444444444444000000-21-21-2-211-2-211-2-211000000000000000000000444444444444444000000-21-21-2-211-2-211-2-211000000000000000000000
χ334444444-4-444-4-4-4-40000001-21-211-2-2-1-122-1-1220000000000000000000004444444-4-444-4-4-4-40000001-21-211-2-2-1-122-1-122000000000000000000000
χ344444444-4-444-4-4-4-4000000-21-21-2-21122-1-122-1-10000000000000000000004444444-4-444-4-4-4-4000000-21-21-2-21122-1-122-1-1000000000000000000000
χ35444444-400-4-400000000001-21-2-1-1223i−3i003i−3i00000000000000000000000444444-400-4-400000000001-21-2-1-1223i−3i003i−3i00000000000000000000000
χ36444444-400-4-400000000001-21-2-1-122−3i3i00−3i3i00000000000000000000000444444-400-4-400000000001-21-2-1-122−3i3i00−3i3i00000000000000000000000
χ37444444-400-4-40000000000-21-2122-1-1003i−3i003i−3i000000000000000000000444444-400-4-40000000000-21-2122-1-1003i−3i003i−3i000000000000000000000
χ38444444-400-4-40000000000-21-2122-1-100−3i3i00−3i3i000000000000000000000444444-400-4-40000000000-21-2122-1-100−3i3i00−3i3i000000000000000000000
χ394-444-4-4022−22002222−22−220000001-2-123i−3i00−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23220000000000000000000004-444-4-4022−22002222−22−220000001-2-123i−3i00−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322000000000000000000000
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χ414-444-4-4022−22002222−22−22000000-212-1003i−3i−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000004-444-4-4022−22002222−22−22000000-212-1003i−3i−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23000000000000000000000
χ424-444-4-4022−22002222−22−22000000-212-100−3i3i−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2322−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000004-444-4-4022−22002222−22−22000000-212-100−3i3i−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2322−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23000000000000000000000
χ434-444-4-40−222200−22−2222220000001-2-123i−3i002ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−20000000000000000000004-444-4-40−222200−22−2222220000001-2-123i−3i002ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−2000000000000000000000
χ444-444-4-40−222200−22−2222220000001-2-12−3i3i00−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−20000000000000000000004-444-4-40−222200−22−2222220000001-2-12−3i3i00−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2000000000000000000000
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χ8833−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-1-11−i321+i321−i321+i320000000000000000-1111−i321+i32−1+i32−1−i32−1+i32−1−i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-3-33−3i323+3i323−3i323+3i32-3333−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200000000000000001-1-1−1+i32−1−i321−i321+i321−i321+i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ894444444444444440000001-21-211-2-211-2-211-2-2000000000000000000000-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4000000-12-12-1-122-1-122-1-122000000000000000000000
χ90444444444444444000000-21-21-2-211-2-211-2-211000000000000000000000-4-4-4-4-4-4-4-4-4-4-4-4-4-4-40000002-12-122-1-122-1-122-1-1000000000000000000000
χ914444444-4-444-4-4-4-40000001-21-211-2-2-1-122-1-122000000000000000000000-4-4-4-4-4-4-444-4-44444000000-12-12-1-12211-2-211-2-2000000000000000000000
χ924444444-4-444-4-4-4-4000000-21-21-2-21122-1-122-1-1000000000000000000000-4-4-4-4-4-4-444-4-444440000002-12-122-1-1-2-211-2-211000000000000000000000
χ93444444-400-4-400000000001-21-2-1-1223i−3i003i−3i00000000000000000000000-4-4-4-4-4-4400440000000000-12-1211-2-2−3i3i00−3i3i00000000000000000000000
χ94444444-400-4-400000000001-21-2-1-122−3i3i00−3i3i00000000000000000000000-4-4-4-4-4-4400440000000000-12-1211-2-23i−3i003i−3i00000000000000000000000
χ95444444-400-4-40000000000-21-2122-1-1003i−3i003i−3i000000000000000000000-4-4-4-4-4-44004400000000002-12-1-2-21100−3i3i00−3i3i000000000000000000000
χ96444444-400-4-40000000000-21-2122-1-100−3i3i00−3i3i000000000000000000000-4-4-4-4-4-44004400000000002-12-1-2-211003i−3i003i−3i000000000000000000000
χ974-444-4-4022−22002222−22−220000001-2-123i−3i00−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322000000000000000000000-44-4-4440−222200−22−222222000000-121-2−3i3i002ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−2000000000000000000000
χ984-444-4-4022−22002222−22−220000001-2-12−3i3i00ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322000000000000000000000-44-4-4440−222200−22−222222000000-121-23i−3i00−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2000000000000000000000
χ994-444-4-4022−22002222−22−22000000-212-1003i−3i−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23000000000000000000000-44-4-4440−222200−22−2222220000002-1-2100−3i3i222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23000000000000000000000
χ1004-444-4-4022−22002222−22−22000000-212-100−3i3i−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2322−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23000000000000000000000-44-4-4440−222200−22−2222220000002-1-21003i−3i22−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23000000000000000000000
χ1014-444-4-40−222200−22−2222220000001-2-123i−3i002ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−2000000000000000000000-44-4-444022−22002222−22−22000000-121-2−3i3i00−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322000000000000000000000
χ1024-444-4-40−222200−22−2222220000001-2-12−3i3i00−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2000000000000000000000-44-4-444022−22002222−22−22000000-121-23i−3i00ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322000000000000000000000
χ1034-444-4-40−222200−22−222222000000-212-1003i−3i222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23000000000000000000000-44-4-444022−22002222−22−220000002-1-2100−3i3i−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23000000000000000000000
χ1044-444-4-40−222200−22−222222000000-212-100−3i3i22−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23000000000000000000000-44-4-444022−22002222−22−220000002-1-21003i−3i−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2322−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23000000000000000000000
χ10566−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i3000022−1−i3−1+i3−1−i3−1+i30000000000000000-2001+i31−i30000000000000000-6-63+3i33−3i33+3i33−3i3600−3−3i3−3+3i30000-2-21+i31−i31+i31−i30000000000000000200−1−i3−1+i30000000000000000
χ10666−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i30000-2-21+i31−i31+i31−i30000000000000000200−1−i3−1+i30000000000000000-6-63+3i33−3i33+3i33−3i3600−3−3i3−3+3i3000022−1−i3−1+i3−1−i3−1+i30000000000000000-2001+i31−i30000000000000000
χ10766−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i3000022−1+i3−1−i3−1+i3−1−i30000000000000000-2001−i31+i30000000000000000-6-63−3i33+3i33−3i33+3i3600−3+3i3−3−3i30000-2-21−i31+i31−i31+i30000000000000000200−1+i3−1−i30000000000000000
χ10866−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i30000-2-21−i31+i31−i31+i30000000000000000200−1+i3−1−i30000000000000000-6-63−3i33+3i33−3i33+3i3600−3+3i3−3−3i3000022−1+i3−1−i3−1+i3−1−i30000000000000000-2001−i31+i30000000000000000
χ1096-6−3−3i3−3+3i33+3i33−3i3032−3200−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ232-2−1−i3−1+i31+i31−i3000000000000000002−200−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23000000000000-663+3i33−3i3−3−3i3−3+3i30−3232003ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ23-221+i31−i3−1−i3−1+i300000000000000000−2200ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23000000000000
χ1106-6−3−3i3−3+3i33+3i33−3i3032−3200−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ23-221+i31−i3−1−i3−1+i300000000000000000−2200ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23000000000000-663+3i33−3i3−3−3i3−3+3i30−3232003ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ232-2−1−i3−1+i31+i31−i3000000000000000002−200−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23000000000000
χ1116-6−3−3i3−3+3i33+3i33−3i30−3232003ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ232-2−1−i3−1+i31+i31−i300000000000000000−2200ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23000000000000-663+3i33−3i3−3−3i3−3+3i3032−3200−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ23-221+i31−i3−1−i3−1+i3000000000000000002−200−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23000000000000
χ1126-6−3−3i3−3+3i33+3i33−3i30−3232003ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ23-221+i31−i3−1−i3−1+i3000000000000000002−200−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23000000000000-663+3i33−3i3−3−3i3−3+3i3032−3200−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ232-2−1−i3−1+i31+i31−i300000000000000000−2200ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23000000000000
χ1136-6−3+3i3−3−3i33−3i33+3i3032−32003ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ132-2−1+i3−1−i31−i31+i3000000000000000002−200ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13000000000000-663−3i33+3i3−3+3i3−3−3i30−323200−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13-221−i31+i3−1+i3−1−i300000000000000000−2200−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13000000000000
χ1146-6−3+3i3−3−3i33−3i33+3i3032−32003ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ13-221−i31+i3−1+i3−1−i300000000000000000−2200−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13000000000000-663−3i33+3i3−3+3i3−3−3i30−323200−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ132-2−1+i3−1−i31−i31+i3000000000000000002−200ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13000000000000
χ1156-6−3+3i3−3−3i33−3i33+3i30−323200−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ132-2−1+i3−1−i31−i31+i300000000000000000−2200−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13000000000000-663−3i33+3i3−3+3i3−3−3i3032−32003ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ13-221−i31+i3−1+i3−1−i3000000000000000002−200ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13000000000000
χ1166-6−3+3i3−3−3i33−3i33+3i30−323200−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13-221−i31+i3−1+i3−1−i3000000000000000002−200ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13000000000000-663−3i33+3i3−3+3i3−3−3i3032−32003ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ132-2−1+i3−1−i31−i31+i300000000000000000−2200−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13000000000000

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