Finite Group Databasebeta

← Group #11787046

Character table — Group #11787046

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order122244442233446666666666888812121212121212121212121236666666668812121212121212121212242424242424242424242424242424242424242424242424242424242424242444448888121212121212121224242424242424244488121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-11111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-11111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111
χ91111-1-1-1-1-1-1111111-1-11111-1-1ii−i−i11-1-1-1-1-1-111-1-11-1-111-1-1-1-11i−i111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1ii−i−i11-1-1ii−i−i
χ101111-1-1-1-1-1-1111111-1-11111-1-1ii−i−i11-1-1-1-1-1-111-1-11-1-111-1-1-1-11i−i111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1-11−ii-1-111−i−iii-1-111−i−iii
χ111111-1-1-1-1-1-1111111-1-11111-1-1ii−i−i11-1-1-1-1-1-111-1-11-1-111-1-1-1-11i−i111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-111111-1i−i11-1-1ii−i−i-1-111−i−iii
χ121111-1-1-1-1-1-1111111-1-11111-1-1ii−i−i11-1-1-1-1-1-111-1-11-1-111-1-1-1-11i−i111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111-11−ii-1-111−i−iii11-1-1ii−i−i
χ131111-1-1-1-1-1-1111111-1-11111-1-1−i−iii11-1-1-1-1-1-111-1-11-1-111-1-1-1-11−ii111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-111111-1−ii11-1-1−i−iii-1-111ii−i−i
χ141111-1-1-1-1-1-1111111-1-11111-1-1−i−iii11-1-1-1-1-1-111-1-11-1-111-1-1-1-11−ii111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111-11i−i-1-111ii−i−i11-1-1−i−iii
χ151111-1-1-1-1-1-1111111-1-11111-1-1−i−iii11-1-1-1-1-1-111-1-11-1-111-1-1-1-11−ii111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iii11-1-1−i−iii
χ161111-1-1-1-1-1-1111111-1-11111-1-1−i−iii11-1-1-1-1-1-111-1-11-1-111-1-1-1-11−ii111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111ii−i−i-1-111ii−i−i
χ1722222222222-12222222-1-1-12222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ1822222222222-12222222-1-1-12222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ1922222222222-12222222-1-1-122-2-2-2-22222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000000022-2-2-1-1-1-1111100000000
χ2022222222222-12222222-1-1-122-2-2-2-22222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000000000000000000000-2-2221111-1-1-1-100000000
χ212222222222-1222-1-1-1-1-1222-1-12222-1-1-1-122-1-1-1-122-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ222222222222-1222-1-1-1-1-1222-1-12222-1-1-1-122-1-1-1-122-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ232222222222-1222-1-1-1-1-1222-1-1-2-2-2-2-1-1-1-122-1-1-1-122-122-1-1-1-1-1-1-1-2-222-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ242222222222-1222-1-1-1-1-1222-1-1-2-2-2-2-1-1-1-122-1-1-1-122-122-1-1-1-1-1-1-1-2-222-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ2522222222-2-222-2-222-2-22222-2-22222-2-2222222-2-2222-2-222-2-2-2-22-2-2-2-2-2-2-2-2222222-2-222-2-222-2-222-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ2622222222-2-222-2-222-2-22222-2-2-2-2-2-2-2-2222222-2-2222-2-222-2-2-2-2222-2-2-2-2-2-22222-2-222-2-222-2-222-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ2722222222-2-22-1-2-222-2-22-1-1-1-2-22222-2-222-1-122-2-2-1-1-111-1-11111-1-2-2111111-1-1-1-122-2-222-2-2-1-111-1-111-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2822222222-2-22-1-2-222-2-22-1-1-1-2-22222-2-222-1-122-2-2-1-1-111-1-11111-1-2-2111111-1-1-1-122-2-222-2-2-1-111-1-111-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ2922222222-2-22-1-2-222-2-22-1-1-1-2-2-2-2-2-2-2-222-1-122-2-2-1-1-111-1-11111-122111111-1-1-1-1-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3022222222-2-22-1-2-222-2-22-1-1-1-2-2-2-2-2-2-2-222-1-122-2-2-1-1-111-1-11111-122111111-1-1-1-1-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ3122222222-2-2-12-2-2-1-111-122211222211-1-122-1-11122-1-2-2-1-11111-1-2-2-2-21111-1-1-1-1-1-111-1-11122-2-222-2-2-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−300000000000000000000
χ3222222222-2-2-12-2-2-1-111-122211222211-1-122-1-11122-1-2-2-1-11111-1-2-2-2-21111-1-1-1-1-1-111-1-11122-2-222-2-2-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−33300000000000000000000
χ3322222222-2-2-12-2-2-1-111-122211-2-2-2-211-1-122-1-11122-1-2-2-1-11111-122-2-21111-1-1-1-111-1-111-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−33300000000000000000000
χ3422222222-2-2-12-2-2-1-111-122211-2-2-2-211-1-122-1-11122-1-2-2-1-11111-122-2-21111-1-1-1-111-1-111-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−300000000000000000000
χ352222-2-2-2-22222-2-222222222222i2i−2i−2i-2-2-2-2-2-2-2-2-2-2-2-22222222222−2i2i-2-2-2-2-2-2-2-2-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000
χ362222-2-2-2-22222-2-22222222222−2i−2i2i2i-2-2-2-2-2-2-2-2-2-2-2-222222222222i−2i-2-2-2-2-2-2-2-2-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000
χ372222-2-2-2-2222-1-2-222222-1-1-1222i2i−2i−2i-2-2-2-211-2-2-2-211-1-1-1-1-1-1-1-1-1-1−2i2i11111111112i2i−2i−2i−2i−2i2i2i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000−i3i3i3−i33−3−3300000000
χ382222-2-2-2-2222-1-2-222222-1-1-1222i2i−2i−2i-2-2-2-211-2-2-2-211-1-1-1-1-1-1-1-1-1-1−2i2i11111111112i2i−2i−2i−2i−2i2i2i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000i3−i3−i3i3−333−300000000
χ392222-2-2-2-2222-1-2-222222-1-1-122−2i−2i2i2i-2-2-2-211-2-2-2-211-1-1-1-1-1-1-1-1-1-12i−2i1111111111−2i−2i2i2i2i2i−2i−2iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000−i3i3i3−i3−333−300000000
χ402222-2-2-2-2222-1-2-222222-1-1-122−2i−2i2i2i-2-2-2-211-2-2-2-211-1-1-1-1-1-1-1-1-1-12i−2i1111111111−2i−2i2i2i2i2i−2i−2iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000i3−i3−i3i33−3−3300000000
χ412222-2-2-2-222-12-2-2-1-1-1-1-1222-1-12i2i−2i−2i1111-2-21111-2-2-122-1-1-1-1-1-1-1−2i2i-2-211111111−i−iiiii−i−i2i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−300000000000000000000
χ422222-2-2-2-222-12-2-2-1-1-1-1-1222-1-12i2i−2i−2i1111-2-21111-2-2-122-1-1-1-1-1-1-1−2i2i-2-211111111−i−iiiii−i−i2i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000i3i3−i3−i3−i3−i3i3i333−3−3−3−33300000000000000000000
χ432222-2-2-2-222-12-2-2-1-1-1-1-1222-1-1−2i−2i2i2i1111-2-21111-2-2-122-1-1-1-1-1-1-12i−2i-2-211111111ii−i−i−i−iii−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000−i3−i3i3i3i3i3−i3−i333−3−3−3−33300000000000000000000
χ442222-2-2-2-222-12-2-2-1-1-1-1-1222-1-1−2i−2i2i2i1111-2-21111-2-2-122-1-1-1-1-1-1-12i−2i-2-211111111ii−i−i−i−iii−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−300000000000000000000
χ452222-2-2-2-2-2-22-12222-2-22-1-1-1-2-22i2i−2i−2i22-2-211-2-22211-111-1-11111-12i−2i-1-1-1-1-1-111112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000002-22i−2i-1-111−i−iii00000000
χ462222-2-2-2-2-2-22-12222-2-22-1-1-1-2-22i2i−2i−2i22-2-211-2-22211-111-1-11111-12i−2i-1-1-1-1-1-111112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii000000000000000000000000-22−2i2i11-1-1ii−i−i00000000
χ472222-2-2-2-2-2-22-12222-2-22-1-1-1-2-2−2i−2i2i2i22-2-211-2-22211-111-1-11111-1−2i2i-1-1-1-1-1-11111−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000002-2−2i2i-1-111ii−i−i00000000
χ482222-2-2-2-2-2-22-12222-2-22-1-1-1-2-2−2i−2i2i2i22-2-211-2-22211-111-1-11111-1−2i2i-1-1-1-1-1-11111−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i000000000000000000000000-222i−2i11-1-1−i−iii00000000
χ492222-2-2-2-2-2-2-1222-1-111-1222112i2i−2i−2i-1-111-2-211-1-1-2-2-1-2-2-1-11111-12i−2i22-1-1-1-11111−i−i−i−iiiii2i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii2i2i−2i−2i22-2-2−i−i−i−iiiii-1-1-1-1111100000000000000000000
χ502222-2-2-2-2-2-2-1222-1-111-1222112i2i−2i−2i-1-111-2-211-1-1-2-2-1-2-2-1-11111-12i−2i22-1-1-1-11111−i−i−i−iiiii2i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii−2i−2i2i2i-2-222iiii−i−i−i−i1111-1-1-1-100000000000000000000
χ512222-2-2-2-2-2-2-1222-1-111-122211−2i−2i2i2i-1-111-2-211-1-1-2-2-1-2-2-1-11111-1−2i2i22-1-1-1-11111iiii−i−i−i−i−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i2i2i−2i−2i-2-222−i−i−i−iiiii1111-1-1-1-100000000000000000000
χ522222-2-2-2-2-2-2-1222-1-111-122211−2i−2i2i2i-1-111-2-211-1-1-2-2-1-2-2-1-11111-1−2i2i22-1-1-1-11111iiii−i−i−i−i−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i−2i−2i2i2i22-2-2iiii−i−i−i−i-1-1-1-1111100000000000000000000
χ5322-2-22i−2i2i−2i0022002-200-2-22-2002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002i−2i2i−2i2i−2i002i−2i2002-20000-2000000002i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300001+i−1−i1−i−1+i2−2−i2i21+i−1−i1+i−1−i1−i−1+i1−i−1+i2−22−2−i2i2−i2i200000000000000000000
χ5422-2-22i−2i2i−2i0022002-200-2-22-2002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002i−2i2i−2i2i−2i002i−2i2002-20000-2000000002i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ130000−1−i1+i−1+i1−i−22i2−i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−22−22i2−i2i2−i200000000000000000000
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χ1194-44-4−4i4i4i−4i00-2-2002-2−2i32i3222-22i3−2i30000−23232i−2i2i−2i−2i2i23−23−2i2i100-11i3−i3−i3i3-100003−3−33−iii−i00000000002ζ5−2ζ13−2ζ5+2ζ1300−2ζ7+2ζ232ζ7−2ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ133ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000000000000000
χ1204-44-4−4i4i4i−4i00-2-2002-2−2i32i3222-22i3−2i30000−23232i−2i2i−2i−2i2i23−23−2i2i100-11i3−i3−i3i3-100003−3−33−iii−i0000000000−2ζ5+2ζ132ζ5−2ζ13002ζ7−2ζ23−2ζ7+2ζ233ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000000000000000
χ1214-44-4−4i4i4i−4i00-2-2002-22i3−2i3222-2−2i32i3000023−232i−2i2i−2i−2i2i−2323−2i2i100-11−i3i3i3−i3-10000−333−3−iii−i00000000002ζ5−2ζ13−2ζ5+2ζ1300−2ζ7+2ζ232ζ7−2ζ233ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000000000000000
χ1224-44-4−4i4i4i−4i00-2-2002-22i3−2i3222-2−2i32i3000023−232i−2i2i−2i−2i2i−2323−2i2i100-11−i3i3i3−i3-10000−333−3−iii−i0000000000−2ζ5+2ζ132ζ5−2ζ13002ζ7−2ζ23−2ζ7+2ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ133ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000000000000000
χ1234-4-4444-4-44-44-24-4-4-4444-222-4-400004444-2-2-4-4-4-422-2-2222-22-22-200-22-22-22-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1244-4-4444-4-44-4-244-422-2-2-24-4-4220000-2-2-2-2442222-4-4-24-422-22-22-2004-4-22-22-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1254-4-4444-4-44-4-2-24-422-2-2-2-222220000-2-2-2-2-2-22222221-22-1-11-11-1100-221-11-111-1-100000000000000003i−3i−3i3i−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ1264-4-4444-4-44-4-2-24-422-2-2-2-222220000-2-2-2-2-2-22222221-22-1-11-11-1100-221-11-111-1-10000000000000000−3i3i3i−3i3i−3i−3i3i3i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1274-4-4444-4-4-444-2-44-4-4-4-44-222440000-4-444-2-2-4-44422-22-2222-22-2-2002-22-22-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1284-4-4444-4-4-44-24-442222-24-4-4-2-2000022-2-24422-2-2-4-4-2-44222-22-2-200-442-22-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1294-4-4444-4-4-44-2-2-442222-2-222-2-2000022-2-2-2-222-2-22212-2-1-1-11-111002-2-11-1111-1-100000000000000003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1304-4-4444-4-4-44-2-2-442222-2-222-2-2000022-2-2-2-222-2-22212-2-1-1-11-111002-2-11-1111-1-10000000000000000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ1314-4-44-4-4444-44-2-44-4-4444-222-4-40000-4-4-4-4224444-2-2-2-2222-22-22-2002-22-22-222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-4-44-4-4444-4-24-4422-2-2-24-4-42200002222-4-4-2-2-2-244-24-422-22-22-200-442-22-222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-44-4-4444-4-2-2-4422-2-2-2-222220000222222-2-2-2-2-2-21-22-1-11-11-11002-2-11-11-1-11100000000000000003-3-333-3-333-3-333-3-3300000000000000000000000000000000000000000000
χ1344-4-44-4-4444-4-2-2-4422-2-2-2-222220000222222-2-2-2-2-2-21-22-1-11-11-11002-2-11-11-1-1110000000000000000-333-3-333-3-333-3-333-300000000000000000000000000000000000000000000
χ1354-4-44-4-444-444-24-4-4-4-4-44-22244000044-4-42244-4-4-2-2-22-2222-22-2-200-22-22-2222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-44-4-444-44-244-42222-24-4-4-2-20000-2-222-4-4-2-22244-2-44222-22-2-2004-4-22-2222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-44-4-444-44-2-24-42222-2-222-2-20000-2-22222-2-222-2-212-2-1-1-11-11100-221-11-1-1-11100000000000000003-3-33-333-33-3-33-333-300000000000000000000000000000000000000000000
χ1384-4-44-4-444-44-2-24-42222-2-222-2-20000-2-22222-2-222-2-212-2-1-1-11-11100-221-11-1-1-1110000000000000000-333-33-3-33-333-33-3-3300000000000000000000000000000000000000000000

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