Finite Group Databasebeta

← Group #11777493

Character table — Group #11777493

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order12224444334444666666888812121212121212122424242424242424366688121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424444488881212121212121212242424242424242424668812122424242488888888
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
χ511111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1
χ91111-1-1-1-11111-1-1111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i1111i−i11-1-111-1-11111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-111i−i-1-1ii−i−i11-1-1ii−i−i
χ101111-1-1-1-11111-1-1111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i1111i−i11-1-111-1-11111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11-1-1−ii11−i−iii-1-111−i−iii
χ111111-1-1-1-11111-1-1111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i1111i−i11-1-111-1-11111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-111i−i-1-1ii−i−i-1-111−i−iii
χ121111-1-1-1-11111-1-1111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i1111i−i11-1-111-1-11111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-11-1-1−ii11−i−iii11-1-1ii−i−i
χ131111-1-1-1-11111-1-1111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−ii11-1-111-1-11111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-111−ii-1-1−i−iii11-1-1−i−iii
χ141111-1-1-1-11111-1-1111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−ii11-1-111-1-11111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11-1-1i−i11ii−i−i-1-111ii−i−i
χ151111-1-1-1-11111-1-1111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−ii11-1-111-1-11111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-111−ii-1-1−i−iii-1-111ii−i−i
χ161111-1-1-1-11111-1-1111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−ii11-1-111-1-11111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-11-1-1i−i11ii−i−i11-1-1−i−iii
χ172222222222-2-2-2-2222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-222-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ182222222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ19222222222-122222-1-122-1222222-1-122-1-122222222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-122-1-1-1-1-1-100000000
χ20222222222-122222-1-122-1222222-1-122-1-122222222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-211-2-211111100000000
χ21222222222-122222-1-122-1-2-2-2-222-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1111111-2-211-2-2111111111111111100000000000000000000000022-1-1-2-2-1-1111100000000
χ22222222222-122222-1-122-1-2-2-2-222-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1111111-2-211-2-21111111111111111000000000000000000000000-2-2112211-1-1-1-100000000
χ23222222222-1-2-2-2-22-1-122-1222222-1-122-1-122222222-1-1-1-1-2-21111-2-2-2-211111111-1-1-1-11111-1-1-2-2-1-1-2-2-1-1-1-11111-1-1-1-1111100000000000000000000000000−i3i300−i3i3−i3i3−i3i300000000
χ24222222222-1-2-2-2-22-1-122-1222222-1-122-1-122222222-1-1-1-1-2-21111-2-2-2-211111111-1-1-1-11111-1-1-2-2-1-1-2-2-1-1-1-11111-1-1-1-1111100000000000000000000000000i3−i300i3−i3i3−i3i3−i300000000
χ25222222222-1-2-2-2-22-1-122-1-2-2-2-222-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1221111-2-2-2-211111111-1-1-1-1-1-1-1-1112211221111-1-1-1-11111-1-1-1-100000000000000000000000000−i3i300−i3i3i3−i3i3−i300000000
χ26222222222-1-2-2-2-22-1-122-1-2-2-2-222-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1221111-2-2-2-211111111-1-1-1-1-1-1-1-1112211221111-1-1-1-11111-1-1-1-100000000000000000000000000i3−i300i3−i3−i3i3−i3i300000000
χ2722222222-122222-122-1-122222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ2822222222-122222-122-1-122222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ2922222222-122222-122-1-12-2-2-2-2-1-122-1-12211111111-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211-2-21111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ3022222222-122222-122-1-12-2-2-2-2-1-122-1-12211111111-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211-2-2111111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ3122222222-12-2-2-2-2-122-1-122222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111-1-1-1-1-2-2-2-222112211-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ3222222222-12-2-2-2-2-122-1-122222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111-1-1-1-1-2-2-2-222112211-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3322222222-12-2-2-2-2-122-1-12-2-2-2-2-1-122-1-12211111111-1-1-1-122-2-2-2-2111111111111-1-1-1-12222-2-2-1-1-2-2-1-11111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3422222222-12-2-2-2-2-122-1-12-2-2-2-2-1-122-1-12211111111-1-1-1-122-2-2-2-2111111111111-1-1-1-12222-2-2-1-1-2-2-1-11111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ352222-2-2-2-222-2-2222222222i2i−2i−2i-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i2222−2i2i-2-222-2-222-2-2-2-22222-2-2-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000
χ362222-2-2-2-222-2-222222222−2i−2i2i2i-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i22222i−2i-2-222-2-222-2-2-2-22222-2-2-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000
χ372222-2-2-2-22-122-2-22-1-122-12i2i−2i−2i-2-211-2-2112i2i2i2i−2i−2i−2i−2i-1-1-1-12i−2i-1-11122-2-2-1-1-1-111111111−i−iii−i−i2i2iii−2i−2i−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000002-2-1-12i−2i11−i−iii00000000
χ382222-2-2-2-22-122-2-22-1-122-12i2i−2i−2i-2-211-2-2112i2i2i2i−2i−2i−2i−2i-1-1-1-12i−2i-1-11122-2-2-1-1-1-111111111−i−iii−i−i2i2iii−2i−2i−i−i−i−i−i−i−i−iiiiiiiii000000000000000000000000-2211−2i2i-1-1ii−i−i00000000
χ392222-2-2-2-22-122-2-22-1-122-1−2i−2i2i2i-2-211-2-211−2i−2i−2i−2i2i2i2i2i-1-1-1-1−2i2i-1-11122-2-2-1-1-1-111111111ii−i−iii−2i−2i−i−i2i2iiiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000002-2-1-1−2i2i11ii−i−i00000000
χ402222-2-2-2-22-122-2-22-1-122-1−2i−2i2i2i-2-211-2-211−2i−2i−2i−2i2i2i2i2i-1-1-1-1−2i2i-1-11122-2-2-1-1-1-111111111ii−i−iii−2i−2i−i−i2i2iiiiiiiii−i−i−i−i−i−i−i−i000000000000000000000000-22112i−2i-1-1−i−iii00000000
χ412222-2-2-2-22-1-2-2222-1-122-12i2i−2i−2i-2-211-2-2112i2i2i2i−2i−2i−2i−2i-1-1-1-1−2i2i11-1-1-2-2221111-1-1-1-11111ii−i−i−i−i−2i−2iii2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000−i3i300i3−i33−3−3300000000
χ422222-2-2-2-22-1-2-2222-1-122-12i2i−2i−2i-2-211-2-2112i2i2i2i−2i−2i−2i−2i-1-1-1-1−2i2i11-1-1-2-2221111-1-1-1-11111ii−i−i−i−i−2i−2iii2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000i3−i300−i3i3−333−300000000
χ432222-2-2-2-22-1-2-2222-1-122-1−2i−2i2i2i-2-211-2-211−2i−2i−2i−2i2i2i2i2i-1-1-1-12i−2i11-1-1-2-2221111-1-1-1-11111−i−iiiii2i2i−i−i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000−i3i300i3−i3−333−300000000
χ442222-2-2-2-22-1-2-2222-1-122-1−2i−2i2i2i-2-211-2-211−2i−2i−2i−2i2i2i2i2i-1-1-1-12i−2i11-1-1-2-2221111-1-1-1-11111−i−iiiii2i2i−i−i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000i3−i300−i3i33−3−3300000000
χ452222-2-2-2-2-1222-2-2-122-1-122i2i−2i−2i11-2-211-2-2−i−i−i−iiiii-1-1-1-12i−2i22-2-2-1-111-1-1-1-1111111112i2i−2i−2i2i2i−i−i−2i−2iii−i−i−i−i−i−i−i−iiiiiiiii22-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii00000000000000000000
χ462222-2-2-2-2-1222-2-2-122-1-122i2i−2i−2i11-2-211-2-2−i−i−i−iiiii-1-1-1-12i−2i22-2-2-1-111-1-1-1-1111111112i2i−2i−2i2i2i−i−i−2i−2iii−i−i−i−i−i−i−i−iiiiiiiii-2-222−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i00000000000000000000
χ472222-2-2-2-2-1222-2-2-122-1-12−2i−2i2i2i11-2-211-2-2iiii−i−i−i−i-1-1-1-1−2i2i22-2-2-1-111-1-1-1-111111111−2i−2i2i2i−2i−2iii2i2i−i−iiiiiiiii−i−i−i−i−i−i−i−i22-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i00000000000000000000
χ482222-2-2-2-2-1222-2-2-122-1-12−2i−2i2i2i11-2-211-2-2iiii−i−i−i−i-1-1-1-1−2i2i22-2-2-1-111-1-1-1-111111111−2i−2i2i2i−2i−2iii2i2i−i−iiiiiiiii−i−i−i−i−i−i−i−i-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii00000000000000000000
χ492222-2-2-2-2-12-2-222-122-1-122i2i−2i−2i11-2-211-2-2−i−i−i−iiiii-1-1-1-1−2i2i-2-22211-1-11111-1-1-1-11111−2i−2i2i2i2i2iii−2i−2i−i−i−i−i−i−iiiiiiiii−i−i−i−i00000000−i3−i3i3i3i3i3−i3−i333−3−3−3−33300000000000000000000
χ502222-2-2-2-2-12-2-222-122-1-122i2i−2i−2i11-2-211-2-2−i−i−i−iiiii-1-1-1-1−2i2i-2-22211-1-11111-1-1-1-11111−2i−2i2i2i2i2iii−2i−2i−i−i−i−i−i−iiiiiiiii−i−i−i−i00000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−300000000000000000000
χ512222-2-2-2-2-12-2-222-122-1-12−2i−2i2i2i11-2-211-2-2iiii−i−i−i−i-1-1-1-12i−2i-2-22211-1-11111-1-1-1-111112i2i−2i−2i−2i−2i−i−i2i2iiiiiii−i−i−i−i−i−i−i−iiiii00000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−300000000000000000000
χ522222-2-2-2-2-12-2-222-122-1-12−2i−2i2i2i11-2-211-2-2iiii−i−i−i−i-1-1-1-12i−2i-2-22211-1-11111-1-1-1-111112i2i−2i−2i−2i−2i−i−i2i2iiiiiii−i−i−i−i−i−i−i−iiiii00000000i3i3−i3−i3−i3−i3i3i333−3−3−3−33300000000000000000000
χ5322-2-222-2-22200002-2-2-2-222-22-222-2-2-2-22222-2-222-2-222-2-200000000000000000022-2-200002-2002-20022-2-2000022-2-20000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ5422-2-222-2-22200002-2-2-2-222-22-222-2-2-2-22222-2-222-2-222-2-200000000000000000022-2-200002-2002-20022-2-2000022-2-20000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.