Finite Group Databasebeta

← Group #10691298

Character table — Group #10691298

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444242424242424242448484848
order1222444434444444466688888888121212121212121212121212242424242424242424242424242424242224444444666666888888888888121212121212121212121212121212121212242424242424242424242424242424242424242424242424888888882488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1
χ91111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11111-1-11-1-1-1-11111ii−i−iiiii−i−i−i−i1111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1-1i−i
χ101111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11111-1-11-1-1-1-11111ii−i−iiiii−i−i−i−i1111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-11−ii
χ111111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-111111-1-1-1-1-1-1ii−i−i−i−i−i−iiiii1111-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i-11−ii
χ121111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-111111-1-1-1-1-1-1ii−i−i−i−i−i−iiiii1111-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii1-1i−i
χ131111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11111-1-11-1-1-1-11111−i−iii−i−i−i−iiiii1111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1-1−ii
χ141111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11111-1-11-1-1-1-11111−i−iii−i−i−i−iiiii1111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-11i−i
χ151111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-111111-1-1-1-1-1-1−i−iiiiiii−i−i−i−i1111-1-1-1-1-1-111111111−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii-11i−i
χ161111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-111111-1-1-1-1-1-1−i−iiiiiii−i−i−i−i1111-1-1-1-1-1-111111111−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i1-1−ii
χ172222222222222-2-2-2-2222222222222222222222222222222222222222-2000000-200-2-20000-2-2-2-200000000-2-2-2-2-2-2000000000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222222-2-2-2-2222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000-200-2-20000222200000000-2-2-2-2-2-2000000000000222222220000000000000000000000000000
χ19222222222-2-2-2-2222222200000000-2-2-2-22222-2-2-2-20000000000000000-222-2-2-2-2-222-2-2222200000000000022-2-222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ20222222222-2-2-2-2222222200000000-2-2-2-22222-2-2-2-20000000000000000-2-2-22222-2-2-2-2-2-2-2-2-200000000000022-2-2222222-2-2-2-22222000000000000000000000000000000000000
χ21222222222-2-2-2-2-2-2-2-222200000000-2-2-2-22222-2-2-2-20000000000000000200000020022000000002i2i−2i−2i2i2i−2i−2i-2-222-2-2000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000
χ22222222222-2-2-2-2-2-2-2-222200000000-2-2-2-22222-2-2-2-2000000000000000020000002002200000000−2i−2i2i2i−2i−2i2i2i-2-222-2-200000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000
χ2322222222-122222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2422222222-122222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2-2-22-2-2-1-111112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111000000000000
χ2522222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222222222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000
χ2622222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111112-2-2-2-2-2-22-2-2-1-11111-2-2-2-222222222-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2722222222-12222-2-2-2-2-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2000000-20011−i3−i3i3i3-2-2-2-200000000111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i311111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ2822222222-12222-2-2-2-2-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2000000-20011i3i3−i3−i3-2-2-2-200000000111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i311111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ2922222222-12222-2-2-2-2-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2000000-20011−i3−i3i3i3222200000000111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-1-1-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ3022222222-12222-2-2-2-2-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2000000-20011i3i3−i3−i3222200000000111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ3122222222-1-2-2-2-22222-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−3-222-2-2-2-2-22211-1-1-1-1000000000000-1-111-1-11111-1-1-1-1111133−3−333−3−333−3−3−3−33333−3−3−3−333000000000000
χ3222222222-1-2-2-2-22222-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−3-2-2-22222-2-2-2111111000000000000-1-111-1-1-1-1-1-11111-1-1-1-133−3−333−3−3−3−33333−3−3−3−33333−3−3000000000000
χ3322222222-1-2-2-2-22222-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−33333-222-2-2-2-2-22211-1-1-1-1000000000000-1-111-1-11111-1-1-1-11111−3−333−3−333−3−33333−3−3−3−33333−3−3000000000000
χ3422222222-1-2-2-2-22222-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−33333-2-2-22222-2-2-2111111000000000000-1-111-1-1-1-1-1-11111-1-1-1-1−3−333−3−33333−3−3−3−33333−3−3−3−333000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−32000000200-1-1−i3−i3i3i300002i2i−2i−2i2i2i−2i−2i11-1-111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−3−333−3−333−i−i−i−iiiii−i−i−i−iiiii000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−32000000200-1-1i3i3−i3−i30000−2i−2i2i2i−2i−2i2i2i11-1-111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3−3−333−3−333iiii−i−i−i−iiiii−i−i−i−i000000000000
χ3722222222-1-2-2-2-2-2-2-2-2-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−333332000000200-1-1−i3−i3i3i30000−2i−2i2i2i−2i−2i2i2i11-1-111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i333−3−333−3−3iiii−i−i−i−iiiii−i−i−i−i000000000000
χ3822222222-1-2-2-2-2-2-2-2-2-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−333332000000200-1-1i3i3−i3−i300002i2i−2i−2i2i2i−2i−2i11-1-111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i333−3−333−3−3−i−i−i−iiiii−i−i−i−iiiii000000000000
χ392222-2-2-2-2222-2-2-2-2222222i2i2i2i−2i−2i−2i−2i2222-2-2-2-2-2-2-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2000000-200220000−2i−2i2i2i00000000-2-2-2-222000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000
χ402222-2-2-2-2222-2-2-2-222222−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2000000-2002200002i2i−2i−2i00000000-2-2-2-2220000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000
χ412222-2-2-2-22-2-22222-2-222200000000-2-2-2-2-2-2-2-222220000000000000000222-2-222-2-2-222222200000000000022-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ422222-2-2-2-22-2-22222-2-222200000000-2-2-2-2-2-2-2-2222200000000000000002-2-222-2-2-22222-2-2-2-200000000000022-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ432222-2-2-2-22-2-222-2-22222200000000-2-2-2-2-2-2-2-222220000000000000000-2000000200-2-20000000022-2-2-2-222-2-22222000000000000000000002222-2-2-2-2-2-2-2-22222000000000000
χ442222-2-2-2-22-2-222-2-22222200000000-2-2-2-2-2-2-2-222220000000000000000-2000000200-2-200000000-2-22222-2-2-2-2222200000000000000000000-2-2-2-222222222-2-2-2-2000000000000
χ452222-2-2-2-2-122-2-222-2-2-1-1-12i2i2i2i−2i−2i−2i−2i-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-22222-2-22-2-211-1-1-1-12i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-1-1-111-1-1-1-111111111−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii000000000000
χ462222-2-2-2-2-122-2-222-2-2-1-1-12i2i2i2i−2i−2i−2i−2i-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-2-2-2-2-2222221111112i2i−2i−2i−2i−2i−2i−2i2i2i2i2i-1-1-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i000000000000
χ472222-2-2-2-2-122-2-222-2-2-1-1-1−2i−2i−2i−2i2i2i2i2i-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-22222-2-22-2-211-1-1-1-1−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-1-1-1-111-1-1-1-111111111iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i000000000000
χ482222-2-2-2-2-122-2-222-2-2-1-1-1−2i−2i−2i−2i2i2i2i2i-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-2-2-2-2-222222111111−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i-1-1-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii000000000000
χ492222-2-2-2-2-122-2-2-2-222-1-1-12i2i2i2i−2i−2i−2i−2i-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii2000000-200-1-1−i3−i3i3i3−2i−2i2i2i000000001111-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3iiii−i−i−i−i33−3−333−3−3−3−333−3−333000000000000
χ502222-2-2-2-2-122-2-2-2-222-1-1-12i2i2i2i−2i−2i−2i−2i-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii2000000-200-1-1i3i3−i3−i3−2i−2i2i2i000000001111-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3iiii−i−i−i−i−3−333−3−33333−3−333−3−3000000000000
χ512222-2-2-2-2-122-2-2-2-222-1-1-1−2i−2i−2i−2i2i2i2i2i-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i2000000-200-1-1−i3−i3i3i32i2i−2i−2i000000001111-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i−i−i−iiiii−3−333−3−33333−3−333−3−3000000000000
χ522222-2-2-2-2-122-2-2-2-222-1-1-1−2i−2i−2i−2i2i2i2i2i-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i2000000-200-1-1i3i3−i3−i32i2i−2i−2i000000001111-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3−i−i−i−iiiii33−3−333−3−3−3−333−3−333000000000000
χ532222-2-2-2-2-1-2-22222-2-2-1-1-10000000011111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3222-2-222-2-2-2-1-1-1-1-1-1000000000000-1-1111111111111-1-1-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ542222-2-2-2-2-1-2-22222-2-2-1-1-10000000011111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i32-2-222-2-2-222-1-11111000000000000-1-11111-1-1-1-1-1-1-1-11111−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ552222-2-2-2-2-1-2-22222-2-2-1-1-10000000011111111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3222-2-222-2-2-2-1-1-1-1-1-1000000000000-1-1111111111111-1-1-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ562222-2-2-2-2-1-2-22222-2-2-1-1-10000000011111111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i32-2-222-2-2-222-1-11111000000000000-1-11111-1-1-1-1-1-1-1-11111i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ572222-2-2-2-2-1-2-222-2-222-1-1-10000000011111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-200000020011−i3−i3i3i3000022-2-2-2-22211-1-1-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3-1-1-1-111111111-1-1-1-1000000000000
χ582222-2-2-2-2-1-2-222-2-222-1-1-10000000011111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-200000020011i3i3−i3−i30000-2-22222-2-211-1-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i31111-1-1-1-1-1-1-1-11111000000000000
χ592222-2-2-2-2-1-2-222-2-222-1-1-10000000011111111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-200000020011−i3−i3i3i30000-2-22222-2-211-1-1-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i31111-1-1-1-1-1-1-1-11111000000000000
χ602222-2-2-2-2-1-2-222-2-222-1-1-10000000011111111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-200000020011i3i3−i3−i3000022-2-2-2-22211-1-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3-1-1-1-111111111-1-1-1-1000000000000
χ6122-2-22i−2i2i−2i200002-22i−2i2-2-21+i1+i−1−i−1−i1−i1−i−1+i−1+i00002i2i−2i−2i00001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i0002i−2i2-20000000001+i−1−i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i2-2002i−2i2i−2i2i−2i00002-22-21+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000000000
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χ6322-2-22i−2i2i−2i200002-22i−2i2-2-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i00002i2i−2i−2i0000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i0002i−2i2-2000000000−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i2-2002i−2i2i−2i2i−2i00002-22-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000000000
χ6422-2-22i−2i2i−2i200002-22i−2i2-2-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i00002i2i−2i−2i0000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i000−2i2i-22000000000−1−i1+i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i2-2002i−2i−2i2i−2i2i0000-22-22−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000000000
χ6522-2-22i−2i2i−2i20000-22−2i2i2-2-21+i1+i−1−i−1−i1−i1−i−1+i−1+i00002i2i−2i−2i00001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i02-2000002i−2i002-22-2−1−i1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i-2200−2i2i00002i−2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i000000000000
χ6622-2-22i−2i2i−2i20000-22−2i2i2-2-21+i1+i−1−i−1−i1−i1−i−1+i−1+i00002i2i−2i−2i00001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i0-2200000−2i2i00-22-22−1−i1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i-2200−2i2i0000−2i2i−2i2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i000000000000
χ6722-2-22i−2i2i−2i20000-22−2i2i2-2-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i00002i2i−2i−2i0000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i02-2000002i−2i002-22-21+i−1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i-2200−2i2i00002i−2i2i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i000000000000
χ6822-2-22i−2i2i−2i20000-22−2i2i2-2-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i00002i2i−2i−2i0000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i0-2200000−2i2i00-22-221+i−1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i-2200−2i2i0000−2i2i−2i2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i000000000000
χ6922-2-22i−2i2i−2i-100002-22i−2i-1111+i1+i−1−i−1−i1−i1−i−1+i−1+i33−3−3−i−iii−i3−i3i3i3−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ140002i−2i2-2000−i3i3−i3i3i3−i31+i−1−i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i-113−3−ii−ii−ii3−3−33-11-11−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22000000000000
χ7022-2-22i−2i2i−2i-100002-22i−2i-1111+i1+i−1−i−1−i1−i1−i−1+i−1+i33−3−3−i−iii−i3−i3i3i3−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14000−2i2i-22000−i3i3i3−i3−i3i31+i−1−i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i-113−3−iii−ii−i−333−31-11-1−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22000000000000
χ7122-2-22i−2i2i−2i-100002-22i−2i-1111+i1+i−1−i−1−i1−i1−i−1+i−1+i−3−333−i−iiii3i3−i3−i3−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ220002i−2i2-2000i3−i3i3−i3−i3i31+i−1−i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i-11−33−ii−ii−ii−333−3-11-11−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14000000000000
χ7222-2-22i−2i2i−2i-100002-22i−2i-1111+i1+i−1−i−1−i1−i1−i−1+i−1+i−3−333−i−iiii3i3−i3−i3−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22000−2i2i-22000i3−i3−i3i3i3−i31+i−1−i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i-11−33−iii−ii−i3−3−331-11-1−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14000000000000
χ7322-2-22i−2i2i−2i-100002-22i−2i-111−1−i−1−i1+i1+i−1+i−1+i1−i1−i33−3−3−i−iii−i3−i3i3i3ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ140002i−2i2-2000−i3i3−i3i3i3−i3−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i-113−3−ii−ii−ii3−3−33-11-11ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22000000000000
χ7422-2-22i−2i2i−2i-100002-22i−2i-111−1−i−1−i1+i1+i−1+i−1+i1−i1−i33−3−3−i−iii−i3−i3i3i3ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14000−2i2i-22000−i3i3i3−i3−i3i3−1−i1+i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i-113−3−iii−ii−i−333−31-11-1ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22000000000000
χ7522-2-22i−2i2i−2i-100002-22i−2i-111−1−i−1−i1+i1+i−1+i−1+i1−i1−i−3−333−i−iiii3i3−i3−i3ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ220002i−2i2-2000i3−i3i3−i3−i3i3−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i-11−33−ii−ii−ii−333−3-11-11ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14000000000000
χ7622-2-22i−2i2i−2i-100002-22i−2i-111−1−i−1−i1+i1+i−1+i−1+i1−i1−i−3−333−i−iiii3i3−i3−i3ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22000−2i2i-22000i3−i3−i3i3i3−i3−1−i1+i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i-11−33−iii−ii−i3−3−331-11-1ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14000000000000
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χ1314-4-4444-4-4-20000000022-22i2−2i2−2i22i2−2i22i22i2−2i223−23−2323-222-2−232323−23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-4-4444-4-4-20000000022-22i2−2i2−2i22i2−2i22i22i2−2i2−232323−23-222-223−23−2323−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-44-4-444400000000-4-4422−22−222222−22−22220000-444-4000022−22−222222−22−222222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-44-4-444400000000-4-44−222222−22−222222−220000-444-40000−222222−22−222222−22−222222−22−222222−220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-44-4-444-20000000022-222−22−222222−22−222223−23−23232-2-2223−23−23232ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-44-4-444-20000000022-222−22−222222−22−2222−232323−232-2-22−232323−232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-44-4-444-20000000022-2−222222−22−222222−2223−23−23232-2-2223−23−2323−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-44-4-444-20000000022-2−222222−22−222222−22−232323−232-2-22−232323−23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ230000000000000000000000000000000000000000000000000000000000000000000000000000000000

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