Finite Group Databasebeta

← Group #10799572

Character table — Group #10799572

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111111111112222222222222222222222222222222222222222444444444444444444444444666666666666666666666666666666668888888888888888888888882424242424242424
order122244444444444422344444466688888888888888881212121212121212121212126612121212121224242424242424242424242424242424444444444444444488888888888888882444668888121212121212242424242424242424448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111
χ911111111-1-1-1-1-1-1-1-1-1-1111-1-111111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-111-1-111ii−i−i11-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ1011111111-1-1-1-1-1-1-1-1-1-1111-1-111111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-111-1-1−i−iii-1-11111−i−i−i−iiiii-1-111−i−iii
χ1111111111-1-1-1-1-1-1-1-1-1-1111-1-111111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111111111-1-111ii−i−i11-1-1-1-1iiii−i−i−i−i-1-111−i−iii
χ1211111111-1-1-1-1-1-1-1-1-1-1111-1-111111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-1-111-1-1−i−iii-1-11111−i−i−i−iiiii11-1-1ii−i−i
χ1311111111-1-1-1-1-1-1-1-1-1-1111-1-111111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111111111-1-111−i−iii11-1-1-1-1−i−i−i−iiiii-1-111ii−i−i
χ1411111111-1-1-1-1-1-1-1-1-1-1111-1-111111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-1-111-1-1ii−i−i-1-11111iiii−i−i−i−i11-1-1−i−iii
χ1511111111-1-1-1-1-1-1-1-1-1-1111-1-111111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-111-1-111−i−iii11-1-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ1611111111-1-1-1-1-1-1-1-1-1-1111-1-111111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i-1-11111iiii−i−i−i−i-1-111ii−i−i
χ171111-1-1-1-11111-1-1-1-1-1-11-1-11111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11-11-111i−ii−i-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ181111-1-1-1-11111-1-1-1-1-1-11-1-11111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-11-11-1-1−ii−ii11-1-111−i−iii−i−iii-11-11−ii−ii
χ191111-1-1-1-11111-1-1-1-1-1-11-1-11111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-111111-11-111i−ii−i-1-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ201111-1-1-1-11111-1-1-1-1-1-11-1-11111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-11-11-1-1−ii−ii11-1-111−i−iii−i−iii1-11-1i−ii−i
χ211111-1-1-1-11111-1-1-1-1-1-11-1-11111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-111111-11-111−ii−ii-1-111-1-1−i−iii−i−iii-11-11i−ii−i
χ221111-1-1-1-11111-1-1-1-1-1-11-1-11111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-11-11-1-1i−ii−i11-1-111ii−i−iii−i−i1-11-1−ii−ii
χ231111-1-1-1-11111-1-1-1-1-1-11-1-11111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11-11-111−ii−ii-1-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ241111-1-1-1-11111-1-1-1-1-1-11-1-11111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-11-11-1-1i−ii−i11-1-111ii−i−iii−i−i-11-11i−ii−i
χ251111-1-1-1-1-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11111-1-11-1-1-1-11111-1-1-1-1111-1-111-1-11
χ261111-1-1-1-1-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-1-111-11111-1-1-1-11111-1-1-111-1-111-1
χ271111-1-1-1-1-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11111-1-11-1-1-1-11111-1-1-1-111-111-1-111-1
χ281111-1-1-1-1-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-111-11111-1-1-1-11111-1-11-1-111-1-11
χ291111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1111-111-1-1-1-1-111-1-11111-1-1-111-11-1-11
χ301111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-11-1-111111-1-111-1-1-1-1111-1-11-111-1
χ311111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-111-1-1-1-1-111-1-11111-1-11-1-11-111-1
χ321111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11-1-111111-1-111-1-1-1-111-111-11-1-11
χ33222222222222222222-1222222-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000002222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ34222222222222222222-1222222-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000-2-2-2-211-2-2-2-21111111111111100000000
χ35222222222222222222-1222222-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000002222-1-1-2-2-2-2-1-1-1-1-1-11111111100000000
χ36222222222222222222-1222222-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000-2-2-2-2112222111111-1-1-1-1-1-1-1-100000000
χ372222222222222222-2-22-2-2-2-2-2-222222-2-222-2-222-2-222-2-2222222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ382222222222222222-2-22-2-2-2-2-2-2222-2-222-2-222-2-222-2-222222222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ392222222222222222-2-2-1-2-2-2-2-2-2-1-1-122-2-222-2-222-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111000000000000000000000000000000000000−i3i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000
χ402222222222222222-2-2-1-2-2-2-2-2-2-1-1-122-2-222-2-222-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111000000000000000000000000000000000000i3−i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000
χ412222222222222222-2-2-1-2-2-2-2-2-2-1-1-1-2-222-2-222-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-1000000000000000000000000000000000000−i3i30000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i300000000
χ422222222222222222-2-2-1-2-2-2-2-2-2-1-1-1-2-222-2-222-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-1000000000000000000000000000000000000i3−i30000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i300000000
χ4322222222-2-2-2-2-2-2-2-2222-2-222-2-22222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2222-2-2-2-2-2-2-2-222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2222-2-222-2-2222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i2222-2-2-2-2-2-2-2-222-2-2-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ4522222222-2-2-2-2-2-2-2-222-1-2-222-2-2-1-1-12i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-1-1-1-111111111-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i000000000000000000000000000000000000−i3i30000−i3i3i3−i3i3−i33−33−3−33−3300000000
χ4622222222-2-2-2-2-2-2-2-222-1-2-222-2-2-1-1-12i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-1-1-1-111111111-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i000000000000000000000000000000000000i3−i30000i3−i3−i3i3−i3i3−33−333−33−300000000
χ4722222222-2-2-2-2-2-2-2-222-1-2-222-2-2-1-1-1−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-1-1-1-111111111-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii000000000000000000000000000000000000−i3i30000−i3i3i3−i3i3−i3−33−333−33−300000000
χ4822222222-2-2-2-2-2-2-2-222-1-2-222-2-2-1-1-1−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-1-1-1-111111111-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii000000000000000000000000000000000000i3−i30000i3−i3−i3i3−i3i33−33−3−33−3300000000
χ4922222222-2-2-2-2-2-2-2-2-2-2-122-2-222-1-1-12i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-1-1-1-11111111111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000000000000022-2-2-1-12i2i−2i−2i-1-11111−i−i−i−iiiii00000000
χ5022222222-2-2-2-2-2-2-2-2-2-2-122-2-222-1-1-12i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-1-1-1-11111111111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000000000000000-2-22211−2i−2i2i2i11-1-1-1-1iiii−i−i−i−i00000000
χ5122222222-2-2-2-2-2-2-2-2-2-2-122-2-222-1-1-1−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-1-1-1-11111111111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000000000000022-2-2-1-1−2i−2i2i2i-1-11111iiii−i−i−i−i00000000
χ5222222222-2-2-2-2-2-2-2-2-2-2-122-2-222-1-1-1−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-1-1-1-11111111111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000000000000000-2-222112i2i−2i−2i11-1-1-1-1−i−i−i−iiiii00000000
χ532222-2-2-2-22222-2-2-2-222222-2-2-2-22222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-2-2-2-22222-2-2-2-222-2-222-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ542222-2-2-2-22222-2-2-2-222222-2-2-2-2222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-2-2-2-22222-2-2-2-222-2-222-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ552222-2-2-2-22222-2-2-2-222-122-2-2-2-2-1-1-12i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i1111-1-1-1-11111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i000000000000000000000000000000000000−i3i30000i3−i3−i3i3i3−i33−3−333−3−3300000000
χ562222-2-2-2-22222-2-2-2-222-122-2-2-2-2-1-1-12i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i1111-1-1-1-11111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i000000000000000000000000000000000000i3−i30000−i3i3i3−i3−i3i3−333−3−333−300000000
χ572222-2-2-2-22222-2-2-2-222-122-2-2-2-2-1-1-1−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i1111-1-1-1-11111-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii000000000000000000000000000000000000−i3i30000i3−i3−i3i3i3−i3−333−3−333−300000000
χ582222-2-2-2-22222-2-2-2-222-122-2-2-2-2-1-1-1−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i1111-1-1-1-11111-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii000000000000000000000000000000000000i3−i30000−i3i3i3−i3−i3i33−3−333−3−3300000000
χ592222-2-2-2-22222-2-2-2-2-2-2-1-2-22222-1-1-12i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i1111-1-1-1-1111111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000000000002-22-2-1-12i−2i2i−2i11-1-111−i−iii−i−iii00000000
χ602222-2-2-2-22222-2-2-2-2-2-2-1-2-22222-1-1-12i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i1111-1-1-1-1111111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii00000000000000000000000000000000-22-2211−2i2i−2i2i-1-111-1-1ii−i−iii−i−i00000000
χ612222-2-2-2-22222-2-2-2-2-2-2-1-2-22222-1-1-1−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i1111-1-1-1-1111111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i000000000000000000000000000000002-22-2-1-1−2i2i−2i2i11-1-111ii−i−iii−i−i00000000
χ622222-2-2-2-22222-2-2-2-2-2-2-1-2-22222-1-1-1−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i1111-1-1-1-1111111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i00000000000000000000000000000000-22-22112i−2i2i−2i-1-111-1-1−i−iii−i−iii00000000
χ632222-2-2-2-2-2-2-2-2222222-1-2-2-2-222-1-1-12222-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1000000000000000000000000000000002-2-22-1-12-2-221111-1-1-1-11111-1-100000000
χ642222-2-2-2-2-2-2-2-2222222-1-2-2-2-222-1-1-12222-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-100000000000000000000000000000000-222-211-222-2-1-1-1-11111-1-1-1-11100000000
χ652222-2-2-2-2-2-2-2-2222222-1-2-2-2-222-1-1-1-2-2-2-222222222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111000000000000000000000000000000002-2-22-1-1-222-21111-1-111-1-1-1-11100000000
χ662222-2-2-2-2-2-2-2-2222222-1-2-2-2-222-1-1-1-2-2-2-222222222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111100000000000000000000000000000000-222-2112-2-22-1-1-1-111-1-11111-1-100000000
χ672222-2-2-2-2-2-2-2-22222-2-222222-2-222222-2-2-2-222-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-222-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000
χ682222-2-2-2-2-2-2-2-22222-2-222222-2-2222-2-22222-2-222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-22222-2-222-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ692222-2-2-2-2-2-2-2-22222-2-2-12222-2-2-1-1-122-2-2-2-222-2-22222-2-211111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111000000000000000000000000000000000000−i3i30000i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i300000000
χ702222-2-2-2-2-2-2-2-22222-2-2-12222-2-2-1-1-122-2-2-2-222-2-22222-2-211111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111000000000000000000000000000000000000i3−i30000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i300000000
χ712222-2-2-2-2-2-2-2-22222-2-2-12222-2-2-1-1-1-2-22222-2-222-2-2-2-22211111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1000000000000000000000000000000000000−i3i30000i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i300000000
χ722222-2-2-2-2-2-2-2-22222-2-2-12222-2-2-1-1-1-2-22222-2-222-2-2-2-22211111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1000000000000000000000000000000000000i3−i30000−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i300000000
χ7322-2-222-2-22i2i−2i−2i2i2i−2i−2i0020000002-2-200−2ζ5−2ζ132ζ5+2ζ1300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23002ζ7+2ζ23−2ζ7−2ζ2322-2-22i2i−2i−2i2i2i−2i−2i0000000000−2ζ5−2ζ132ζ5+2ζ1300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23002ζ7+2ζ23−2ζ7−2ζ231−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i22−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ7422-2-222-2-22i2i−2i−2i2i2i−2i−2i0020000002-2-200−2ζ5−2ζ132ζ5+2ζ1300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23002ζ7+2ζ23−2ζ7−2ζ2322-2-22i2i−2i−2i2i2i−2i−2i0000000000−2ζ5−2ζ132ζ5+2ζ1300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23002ζ7+2ζ23−2ζ7−2ζ23−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−2−222−2−222i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ7522-2-222-2-22i2i−2i−2i2i2i−2i−2i0020000002-2-2002ζ5+2ζ13−2ζ5−2ζ13002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−2ζ7−2ζ232ζ7+2ζ2322-2-22i2i−2i−2i2i2i−2i−2i00000000002ζ5+2ζ13−2ζ5−2ζ13002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−2ζ7−2ζ232ζ7+2ζ231−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−2−222−2−222i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ7622-2-222-2-22i2i−2i−2i2i2i−2i−2i0020000002-2-2002ζ5+2ζ13−2ζ5−2ζ13002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−2ζ7−2ζ232ζ7+2ζ2322-2-22i2i−2i−2i2i2i−2i−2i00000000002ζ5+2ζ13−2ζ5−2ζ13002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−2ζ7−2ζ232ζ7+2ζ23−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i22−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ7722-2-222-2-2−2i−2i2i2i−2i−2i2i2i0020000002-2-2002ζ7+2ζ23−2ζ7−2ζ23002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−2ζ5−2ζ132ζ5+2ζ1322-2-2−2i−2i2i2i−2i−2i2i2i00000000002ζ7+2ζ23−2ζ7−2ζ23002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−2ζ5−2ζ132ζ5+2ζ131+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ7822-2-222-2-2−2i−2i2i2i−2i−2i2i2i0020000002-2-2002ζ7+2ζ23−2ζ7−2ζ23002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−2ζ5−2ζ132ζ5+2ζ1322-2-2−2i−2i2i2i−2i−2i2i2i00000000002ζ7+2ζ23−2ζ7−2ζ23002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−2ζ5−2ζ132ζ5+2ζ13−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ7922-2-222-2-2−2i−2i2i2i−2i−2i2i2i0020000002-2-200−2ζ7−2ζ232ζ7+2ζ2300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002ζ5+2ζ13−2ζ5−2ζ1322-2-2−2i−2i2i2i−2i−2i2i2i0000000000−2ζ7−2ζ232ζ7+2ζ2300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002ζ5+2ζ13−2ζ5−2ζ131+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ8022-2-222-2-2−2i−2i2i2i−2i−2i2i2i0020000002-2-200−2ζ7−2ζ232ζ7+2ζ2300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002ζ5+2ζ13−2ζ5−2ζ1322-2-2−2i−2i2i2i−2i−2i2i2i0000000000−2ζ7−2ζ232ζ7+2ζ2300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002ζ5+2ζ13−2ζ5−2ζ13−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ8122-2-2-2-2222i2i−2i−2i−2i−2i2i2i0020000002-2-2002ζ7+2ζ23−2ζ7−2ζ2300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2ζ5−2ζ132ζ5+2ζ13-2-2222i2i−2i−2i−2i−2i2i2i00000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2ζ5−2ζ132ζ5+2ζ131+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i22−2−2−2−222−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ8222-2-2-2-2222i2i−2i−2i−2i−2i2i2i0020000002-2-2002ζ7+2ζ23−2ζ7−2ζ2300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2ζ5−2ζ132ζ5+2ζ13-2-2222i2i−2i−2i−2i−2i2i2i00000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2ζ5−2ζ132ζ5+2ζ13−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−2−22222−2−2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ8322-2-2-2-2222i2i−2i−2i−2i−2i2i2i0020000002-2-200−2ζ7−2ζ232ζ7+2ζ23002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ5+2ζ13−2ζ5−2ζ13-2-2222i2i−2i−2i−2i−2i2i2i0000000000−2ζ7−2ζ232ζ7+2ζ23002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ5+2ζ13−2ζ5−2ζ131+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−2−22222−2−2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ8422-2-2-2-2222i2i−2i−2i−2i−2i2i2i0020000002-2-200−2ζ7−2ζ232ζ7+2ζ23002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ5+2ζ13−2ζ5−2ζ13-2-2222i2i−2i−2i−2i−2i2i2i0000000000−2ζ7−2ζ232ζ7+2ζ23002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ5+2ζ13−2ζ5−2ζ13−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i22−2−2−2−222−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ8522-2-2-2-222−2i−2i2i2i2i2i−2i−2i0020000002-2-200−2ζ5−2ζ132ζ5+2ζ13002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002ζ7+2ζ23−2ζ7−2ζ23-2-222−2i−2i2i2i2i2i−2i−2i0000000000−2ζ5−2ζ132ζ5+2ζ13002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002ζ7+2ζ23−2ζ7−2ζ231−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i22−2−2−2−222i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ8622-2-2-2-222−2i−2i2i2i2i2i−2i−2i0020000002-2-200−2ζ5−2ζ132ζ5+2ζ13002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002ζ7+2ζ23−2ζ7−2ζ23-2-222−2i−2i2i2i2i2i−2i−2i0000000000−2ζ5−2ζ132ζ5+2ζ13002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002ζ7+2ζ23−2ζ7−2ζ23−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−2−22222−2−2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ8722-2-2-2-222−2i−2i2i2i2i2i−2i−2i0020000002-2-2002ζ5+2ζ13−2ζ5−2ζ1300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ7−2ζ232ζ7+2ζ23-2-222−2i−2i2i2i2i2i−2i−2i00000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ7−2ζ232ζ7+2ζ231−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−2−22222−2−2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ8822-2-2-2-222−2i−2i2i2i2i2i−2i−2i0020000002-2-2002ζ5+2ζ13−2ζ5−2ζ1300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ7−2ζ232ζ7+2ζ23-2-222−2i−2i2i2i2i2i−2i−2i00000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ7−2ζ232ζ7+2ζ23−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i22−2−2−2−222i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ892-22-22i−2i2i−2i2-22-22i−2i2i−2i002000000-22-22ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002i−2i2i−2i2-22-22i−2i2i−2i000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2−22−2−i2i2−i2i22−22−2−i2i2−i2i200000000000000000000000000000000
χ902-22-22i−2i2i−2i2-22-22i−2i2i−2i002000000-22-22ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002i−2i2i−2i2-22-22i−2i2i−2i000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−22−22i2−i2i2−i2−22−22i2−i2i2−i200000000000000000000000000000000
χ912-22-22i−2i2i−2i2-22-22i−2i2i−2i002000000-22-2−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002i−2i2i−2i2-22-22i−2i2i−2i00000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−22−22i2−i2i2−i2−22−22i2−i2i2−i200000000000000000000000000000000
χ922-22-22i−2i2i−2i2-22-22i−2i2i−2i002000000-22-2−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002i−2i2i−2i2-22-22i−2i2i−2i00000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2−22−2−i2i2−i2i22−22−2−i2i2−i2i200000000000000000000000000000000
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χ1344-44-4−4i4i−4i4i4-44-4−4i4i−4i4i00-20000002-224ζ5+4ζ13−4ζ5−4ζ1300−4ζ7−4ζ234ζ7+4ζ23004ζ5+4ζ13−4ζ5−4ζ1300−4ζ7−4ζ234ζ7+4ζ23002i−2i2i−2i-22-222i−2i2i−2i00000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000000000000000000000000000000000000000000000
χ1354-44-4−4i4i−4i4i-44-444i−4i4i−4i00-20000002-224ζ7+4ζ23−4ζ7−4ζ23004ζ5+4ζ13−4ζ5−4ζ1300−4ζ7−4ζ234ζ7+4ζ2300−4ζ5−4ζ134ζ5+4ζ13002i−2i2i−2i2-22-2−2i2i−2i2i00000000−2ζ7−2ζ232ζ7+2ζ2300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000000000000000000000000000000000000000000000
χ1364-44-4−4i4i−4i4i-44-444i−4i4i−4i00-20000002-22−4ζ7−4ζ234ζ7+4ζ2300−4ζ5−4ζ134ζ5+4ζ13004ζ7+4ζ23−4ζ7−4ζ23004ζ5+4ζ13−4ζ5−4ζ13002i−2i2i−2i2-22-2−2i2i−2i2i000000002ζ7+2ζ23−2ζ7−2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-444i−4i−4i4i4i−4i−4i4i-444-44-4-24i−4i4i−4i4-422-20000000000000000−2i2i2i−2i−2i2i2i−2i2-2-22-22-22−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-444i−4i−4i4i4i−4i−4i4i-444-4-44-2−4i4i−4i4i-4422-20000000000000000−2i2i2i−2i−2i2i2i−2i2-2-222-22-22i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1394-4-444i−4i−4i4i−4i4i4i−4i4-4-444-4-2−4i4i4i−4i-4422-20000000000000000−2i2i2i−2i2i−2i−2i2i-222-2-222-22i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1404-4-444i−4i−4i4i−4i4i4i−4i4-4-44-44-24i−4i−4i4i4-422-20000000000000000−2i2i2i−2i2i−2i−2i2i-222-22-2-22−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1414-4-44−4i4i4i−4i4i−4i−4i4i4-4-444-4-24i−4i−4i4i-4422-200000000000000002i−2i−2i2i−2i2i2i−2i-222-2-222-2−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-44−4i4i4i−4i4i−4i−4i4i4-4-44-44-2−4i4i4i−4i4-422-200000000000000002i−2i−2i2i−2i2i2i−2i-222-22-2-222i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1434-4-44−4i4i4i−4i−4i4i4i−4i-444-44-4-2−4i4i−4i4i4-422-200000000000000002i−2i−2i2i2i−2i−2i2i2-2-22-22-222i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1444-4-44−4i4i4i−4i−4i4i4i−4i-444-4-44-24i−4i4i−4i-4422-200000000000000002i−2i−2i2i2i−2i−2i2i2-2-222-22-2−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000

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