Finite Group Databasebeta

← Group #13161751

Character table — Group #13161751

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111111112222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order122244443336666666661212121212121212121212123333366666666666666688121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424224488888888224466666688121212121212242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-11-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ51111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ71111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1-1-11111
χ81111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-111-1-111-1-111-1-1-1-1-1-111111111
χ91111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1ii−i−iii−i−i1-1-111111-1-1i−i-1-1-1-111ii−i−iii−i−iii−i−i
χ101111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1−i−iii−i−iii-111-111-1-111i−i-1-111-1-1−i−iii−i−iiiii−i−i
χ111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111ii−i−i−i−iii11-1-1-1-11111−ii11-1-1-1-1ii−i−i−i−iii−i−iii
χ121111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111−i−iiiii−i−i-1-111-1-1-1-1-1-1−ii111111−i−iiiii−i−i−i−iii
χ131111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii11-1-1ii−i−iii−i−i-111-111-1-111−ii-1-111-1-1ii−i−iii−i−i−i−iii
χ141111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii11-1-1−i−iii−i−iii1-1-111111-1-1−ii-1-1-1-111−i−iii−i−iii−i−iii
χ151111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii-1-111ii−i−i−i−iii-1-111-1-1-1-1-1-1i−i111111ii−i−i−i−iiiii−i−i
χ161111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii-1-111−i−iiiii−i−i11-1-1-1-11111i−i11-1-1-1-1−i−iiiii−i−iii−i−i
χ172222222222-12222-1-122-12222-1-122-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222202020000-1-1000000-1-10000-1-1-1-10000
χ182222222222-12222-1-122-12222-1-122-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20-20-200001100000011000011110000
χ192222222222-12222-1-122-12222-1-122-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-211-2-211-2-2-2-2-2-2-2-21111111111111111-2-2-2-211111111111111110000000022220-20-2000011000000110000-1-1-1-10000
χ202222222222-12222-1-122-12222-1-122-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-211-2-211-2-2-2-2-2-2-2-21111111111111111-2-2-2-2111111111111111100000000-2-2-2-202020000-1-1000000-1-1000011110000
χ21222222222-1222-1-1222-1222-1-122-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220000202000-1-1000000-1-100-1-1-1-100000000
χ22222222222-1222-1-1222-1222-1-122-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-20-2000110000001100111100000000
χ23222222222-1222-1-1222-1222-1-122-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-2-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-111-2-211-2-2-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2111111111111000022220000-20-2000110000001100-1-1-1-100000000
χ24222222222-1222-1-1222-1222-1-122-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-2-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-111-2-211-2-2-2-2-2-21111-2-2-2-21111111111111111-2-2-2-21111111111110000-2-2-2-20000202000-1-1000000-1-100111100000000
χ2522222222-122-1-12222-122-1-122222222-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000000000000-1-1000022-1-1000000000000-1-1-1-1
χ2622222222-122-1-12222-122-1-122222222-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000000000000110000-2-2110000000000001111
χ2722222222-122-1-12222-122-1-122222222-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-2-2-21111111111111111-2-2-2-2111111112222000000000000-1-10000-2-2-1-10000000000001111
χ2822222222-122-1-12222-122-1-122222222-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-2-2-21111111111111111-2-2-2-211111111-2-2-2-20000000000001100002211000000000000-1-1-1-1
χ292222-2-2-2-222-12222-1-122-1-2-2-2-211-2-211-2-22-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12i−2i-2-211111111-2-2111111112i2i−i−i−2i−2iii2i2i−2i−2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiiiiiii000000002i2i−2i−2i0-202000011000000-1-10000−i−iii0000
χ302222-2-2-2-222-12222-1-122-1-2-2-2-211-2-211-2-22-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12i−2i-2-211111111-2-2111111112i2i−i−i−2i−2iii2i2i−2i−2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiiiiiii00000000−2i−2i2i2i020-20000-1-1000000110000ii−i−i0000
χ312222-2-2-2-222-12222-1-122-1-2-2-2-211-2-211-2-22-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1−2i2i-2-211111111-2-211111111−2i−2iii2i2i−i−i−2i−2i2i2i−2i−2i−2i−2iiiiiiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i000000002i2i−2i−2i020-20000-1-1000000110000−i−iii0000
χ322222-2-2-2-222-12222-1-122-1-2-2-2-211-2-211-2-22-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1−2i2i-2-211111111-2-211111111−2i−2iii2i2i−i−i−2i−2i2i2i−2i−2i−2i−2iiiiiiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i00000000−2i−2i2i2i0-202000011000000-1-10000ii−i−i0000
χ332222-2-2-2-22-1222-1-1222-12-2-211-2-211-2-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12i−2i11-2-211111111-2-2111111−i−i2i2iii−2i−2i2i2i−2i−2i−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiiiiiii00002i2i−2i−2i000020-2000-1-10000001100−i−iii00000000
χ342222-2-2-2-22-1222-1-1222-12-2-211-2-211-2-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12i−2i11-2-211111111-2-2111111−i−i2i2iii−2i−2i2i2i−2i−2i−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiiiiiii0000−2i−2i2i2i0000-20200011000000-1-100ii−i−i00000000
χ352222-2-2-2-22-1222-1-1222-12-2-211-2-211-2-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1−2i2i11-2-211111111-2-2111111ii−2i−2i−i−i2i2i−2i−2i2i2iiiii−2i−2i−2i−2iiiiiiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i00002i2i−2i−2i0000-20200011000000-1-100−i−iii00000000
χ362222-2-2-2-22-1222-1-1222-12-2-211-2-211-2-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1−2i2i11-2-211111111-2-2111111ii−2i−2i−i−i2i2i−2i−2i2i2iiiii−2i−2i−2i−2iiiiiiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i0000−2i−2i2i2i000020-2000-1-10000001100ii−i−i00000000
χ372222-2-2-2-2-122-1-12222-12211-2-2-2-2-2-2-2-211-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-12i−2i1111-2-211111111-2-211112i2i2i2i−2i−2i−2i−2i−i−iii−i−i−i−i−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiiiiiii−2i−2i−2i−2iiiiiiiii22-2-2000000000000-1-100002i−2i11000000000000−i−iii
χ382222-2-2-2-2-122-1-12222-12211-2-2-2-2-2-2-2-211-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-12i−2i1111-2-211111111-2-211112i2i2i2i−2i−2i−2i−2i−i−iii−i−i−i−i−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiiiiiii−2i−2i−2i−2iiiiiiiii-2-222000000000000110000−2i2i-1-1000000000000ii−i−i
χ392222-2-2-2-2-122-1-12222-12211-2-2-2-2-2-2-2-211-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1−2i2i1111-2-211111111-2-21111−2i−2i−2i−2i2i2i2i2iii−i−iiiiiiiii−2i−2i−2i−2iiiiiiiii−i−i−i−i−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i22-2-2000000000000-1-10000−2i2i11000000000000ii−i−i
χ402222-2-2-2-2-122-1-12222-12211-2-2-2-2-2-2-2-211-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1−2i2i1111-2-211111111-2-21111−2i−2i−2i−2i2i2i2i2iii−i−iiiiiiiii−2i−2i−2i−2iiiiiiiii−i−i−i−i−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i-2-2220000000000001100002i−2i-1-1000000000000−i−iii
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χ4222-2-22i−2i2i−2i2222-22-22-2-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i222222-22-22-222-2-2-2-2-2-2-2002i−2i2i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
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χ1524-4-4444-4-4-2-242222-4-4-2-2422-2-24422-4-4-2-21-2-211-1-12222-1-1-1-11-2-21100-1-12222-1-1-1-111-2-2-2-21111000000002i3−2i32i3−2i3−i3i3−i3i32i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1534-4-4444-4-4-2-2-2222222-2-2-222-2-2-2-22222-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i3200000000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i33-3-33−3−i32−3+i323−i323+i323−i323+i32−3−i32−3+i32i3−i3i3−i3i3−i3i3−i33-3-33−3−i32−3+i323−i323+i323−i323+i32−3−i32−3+i32000000000000000000000000000000000000000000
χ1544-4-4444-4-4-2-2-2222222-2-2-222-2-2-2-22222-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3-333-33+i323−i32−3+i32−3−i32−3+i32−3−i323+i323−i32−i3i3−i3i3−i3i3−i3i3-333-33+i323−i32−3+i32−3−i32−3+i32−3−i323+i323−i32000000000000000000000000000000000000000000
χ1554-4-4444-4-4-2-2-2222222-2-2-222-2-2-2-22222-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i3200000000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3-333-33−i323+i32−3−i32−3+i32−3−i32−3+i323−i323+i32i3−i3i3−i3i3−i3i3−i3-333-33−i323+i32−3−i32−3+i32−3−i32−3+i323−i323+i32000000000000000000000000000000000000000000
χ1564-4-4444-4-4-2-2-2222222-2-2-222-2-2-2-22222-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i33-3-33−3+i32−3−i323+i323−i323+i323−i32−3+i32−3−i32−i3i3−i3i3−i3i3−i3i33-3-33−3+i32−3−i323+i323−i323+i323−i32−3+i32−3−i32000000000000000000000000000000000000000000
χ1574-4-44-4-44444-2-4-4-4-42244-244-4-42244-2-2-4-44-2-2-2-2-4-4222222224-2-2-2-20044-2-2-2-2-2-2-2-2-4-4222222220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1584-4-44-4-4444-24-4-422-4-44-244422-4-4-2-244-4-4-24-2-2-222-4-4222222-24-2-2-200-2-244-2-2-2-2-2-222-4-42222220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1594-4-44-4-4444-2-2-4-422224-2-2442222-2-2-2-2-4-4-2-21112222-1-1-1-1-1-1-2-211100-2-2-2-21111112222-1-1-1-1-1-1000000000000000000003i−3i−3i3i3i3i−3i−3i−3i−3i3i3i00000000−3i3i3i−3i−3i−3i3i3i3i3i−3i−3i000000000000000000000000000000000000000000
χ1604-4-44-4-4444-2-2-4-422224-2-2442222-2-2-2-2-4-4-2-21112222-1-1-1-1-1-1-2-211100-2-2-2-21111112222-1-1-1-1-1-100000000000000000000−3i3i3i−3i−3i−3i3i3i3i3i−3i−3i000000003i−3i−3i3i3i3i−3i−3i−3i−3i3i3i000000000000000000000000000000000000000000
χ1614-4-44-4-444-24-222-4-422-24-2-2-2-4-42244-2-222-21-21122-1-122-1-1-1-1-21-21100-2-211-2-2111122-1-122-1-1-1-10000000023−23−232323−2323−23−33−330000−33−33−33−33−2323−23233−33−300003−33−33−33−3000000000000000000000000000000000000000000
χ1624-4-44-4-444-24-222-4-422-24-2-2-2-4-42244-2-222-21-21122-1-122-1-1-1-1-21-21100-2-211-2-2111122-1-122-1-1-1-100000000−232323−23−2323−23233−33−300003−33−33−33−323−2323−23−33−330000−33−33−33−33000000000000000000000000000000000000000000
χ1634-4-44-4-444-2-242222-4-4-2-24-2-222-4-4-2-244221-2-211-1-12222-1-1-1-11-2-2110011-2-2-2-21111-1-12222-1-1-1-10000000023−23−2323−33−3323−2323−230000−33−33−33−333−33−3−2323−232300003−33−33−33−3000000000000000000000000000000000000000000
χ1644-4-44-4-444-2-242222-4-4-2-24-2-222-4-4-2-244221-2-211-1-12222-1-1-1-11-2-2110011-2-2-2-21111-1-12222-1-1-1-100000000−232323−233−33−3−2323−232300003−33−33−33−3−33−3323−2323−230000−33−33−33−33000000000000000000000000000000000000000000
χ1654-4-44-4-444-2-2-2222222-2-2-2-2-22222-2-2-2-222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3200111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i320000000023−23−2323−33−33−33−333i−3i−3i3iζ14+2ζ222ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ222ζ14+ζ223−33−33−33−3−3i3i3i−3i−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22ζ14+2ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ22000000000000000000000000000000000000000000
χ1664-4-44-4-444-2-2-2222222-2-2-2-2-22222-2-2-2-222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3200111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3200000000−232323−233−33−33−33−3−3i3i3i−3i−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22ζ14+2ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ22−33−33−33−333i−3i−3i3iζ14+2ζ222ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22000000000000000000000000000000000000000000
χ1674-4-44-4-444-2-2-2222222-2-2-2-2-22222-2-2-2-222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3200111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i320000000023−23−2323−33−33−33−33−3i3i3i−3i−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ223−33−33−33−33i−3i−3i3i2ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22000000000000000000000000000000000000000000
χ1684-4-44-4-444-2-2-2222222-2-2-2-2-22222-2-2-2-222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3200111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3200000000−232323−233−33−33−33−33i−3i−3i3i2ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−33−33−33−33−3i3i3i−3i−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22000000000000000000000000000000000000000000

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