Finite Group Databasebeta

← Group #11787047

Character table — Group #11787047

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order1222444422334466666688881212121212121212242424242424242436666666666688121212121212121212121212242424242424242424242424242424242424242424242424242424242244666688881212121224242424242424244488121212122424242444448888
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
χ511111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111
χ91111-1-1-1-1-1-11111111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1-111-1-1-1-11i−i11111111-1-1-1-1iiiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−iii−i−i11-1-1
χ101111-1-1-1-1-1-11111111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1-111-1-1-1-11i−i11111111-1-1-1-1iiiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii−i−iii-1-111
χ111111-1-1-1-1-1-11111111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1-111-1-1-1-11i−i11111111-1-1-1-1iiiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-1−i−iii1111−i−i−i−iiiii1-1i−i11-1-1ii−i−i−i−iii-1-111
χ121111-1-1-1-1-1-11111111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1-111-1-1-1-11i−i11111111-1-1-1-1iiiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-1−i−iii1111−i−i−i−iiiii-11−ii-1-111−i−iiiii−i−i11-1-1
χ131111-1-1-1-1-1-11111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1-111-1-1-1-11−ii11111111-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-11111−i−iii-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii−i−iii11-1-1
χ141111-1-1-1-1-1-11111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1-111-1-1-1-11−ii11111111-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-11111−i−iii-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−iii−i−i-1-111
χ151111-1-1-1-1-1-11111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1-111-1-1-1-11−ii11111111-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-1ii−i−i1111iiii−i−i−i−i1-1−ii11-1-1−i−iiiii−i−i-1-111
χ161111-1-1-1-1-1-11111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1-111-1-1-1-11−ii11111111-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-1ii−i−i1111iiii−i−i−i−i-11i−i-1-111ii−i−i−i−iii11-1-1
χ1722222222222-122-1-1222-1222222-1-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ1822222222222-122-1-1222-1222222-1-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111111100000000000000000000
χ1922222222222-122-1-1222-1-2-2-2-222-1-122-1-111111111-122-1-1-1-1-1-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-21111111111111111112222-1-1-1-1-2-2-2-2-1-1-1-11111111100000000000000000000
χ2022222222222-122-1-1222-1-2-2-2-222-1-122-1-111111111-122-1-1-1-1-1-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-2111111111111111111-2-2-2-2111122221111-1-1-1-1-1-1-1-100000000000000000000
χ212222222222-122222-1-1-122222-1-122-1-12222222222-1-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ222222222222-122222-1-1-122222-1-122-1-12222222222-1-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ232222222222-122222-1-1-12-2-2-2-2-1-122-1-122-2-2-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-1-2-2-1-122-1-1-1-1-1-1-1-11111-2-21111-2-2111111111111111100000000000000000000000022-2-2-1-1-1-1111100000000
χ242222222222-122222-1-1-12-2-2-2-2-1-122-1-122-2-2-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-1-2-2-1-122-1-1-1-1-1-1-1-11111-2-21111-2-21111111111111111000000000000000000000000-2-2221111-1-1-1-100000000
χ2522222222-2-222-2-2222222222222222222222222222-2-2-2-222-2-2-2-22-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ2622222222-2-222-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-22-2-2-2-222-2-2-2-2222-2-2-2-2-2-2-2-22222-2-22222-2-22222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ2722222222-2-22-1-2-2-1-1222-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-2-211-1-11111-1-2-2-2-2111111-1-1-1-122-2-21122-2-211-1-1-1-11111-1-1-1-111110000−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2822222222-2-22-1-2-2-1-1222-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-2-211-1-11111-1-2-2-2-2111111-1-1-1-122-2-21122-2-211-1-1-1-11111-1-1-1-111110000i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ2922222222-2-22-1-2-2-1-1222-1-2-2-2-222-1-122-1-111111111-1-2-211-1-11111-122-2-2111111-1-1-1-1-2-222-1-1-2-222-1-11111-1-1-1-11111-1-1-1-10000−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3022222222-2-22-1-2-2-1-1222-1-2-2-2-222-1-122-1-111111111-1-2-211-1-11111-122-2-2111111-1-1-1-1-2-222-1-1-2-222-1-11111-1-1-1-11111-1-1-1-10000i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ3122222222-2-2-12-2-222-1-1-122222-1-122-1-12222222222-111-2-2-1-11111-1-2-211-2-21111-1-1-1-1-1-111-2-2-1-111-2-2-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ3222222222-2-2-12-2-222-1-1-122222-1-122-1-12222222222-111-2-2-1-11111-1-2-211-2-21111-1-1-1-1-1-111-2-2-1-111-2-2-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ3322222222-2-2-12-2-222-1-1-12-2-2-2-2-1-122-1-122-2-2-2-2-2-2-2-2-111-2-2-1-11111-12211-2-21111-1-1-1-111-1-12211-1-1221111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3422222222-2-2-12-2-222-1-1-12-2-2-2-2-1-122-1-122-2-2-2-2-2-2-2-2-111-2-2-1-11111-12211-2-21111-1-1-1-111-1-12211-1-1221111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ352222-2-2-2-22222-2-22222222i2i−2i−2i-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i222222222222−2i2i-2-2-2-2-2-2-2-2-2-2-2-22i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000
χ362222-2-2-2-22222-2-2222222−2i−2i2i2i-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222222222222i−2i-2-2-2-2-2-2-2-2-2-2-2-2−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000
χ372222-2-2-2-2222-1-2-2-1-1222-12i2i−2i−2i-2-211-2-211−i−i−i−iiiii-122-1-1-1-1-1-1-1-1-1−2i2i-2-211111111112i2i−2i−2iii−2i−2i2i2i−i−i−i−i−i−iiiiiiiii−i−i−i−i0000−i3−i3i3i30000i3i3−i3−i333−3−3−3−33300000000000000000000
χ382222-2-2-2-2222-1-2-2-1-1222-12i2i−2i−2i-2-211-2-211−i−i−i−iiiii-122-1-1-1-1-1-1-1-1-1−2i2i-2-211111111112i2i−2i−2iii−2i−2i2i2i−i−i−i−i−i−iiiiiiiii−i−i−i−i0000i3i3−i3−i30000−i3−i3i3i3−3−33333−3−300000000000000000000
χ392222-2-2-2-2222-1-2-2-1-1222-1−2i−2i2i2i-2-211-2-211iiii−i−i−i−i-122-1-1-1-1-1-1-1-1-12i−2i-2-21111111111−2i−2i2i2i−i−i2i2i−2i−2iiiiiii−i−i−i−i−i−i−i−iiiii0000−i3−i3i3i30000i3i3−i3−i3−3−33333−3−300000000000000000000
χ402222-2-2-2-2222-1-2-2-1-1222-1−2i−2i2i2i-2-211-2-211iiii−i−i−i−i-122-1-1-1-1-1-1-1-1-12i−2i-2-21111111111−2i−2i2i2i−i−i2i2i−2i−2iiiiiii−i−i−i−i−i−i−i−iiiii0000i3i3−i3−i30000−i3−i3i3i333−3−3−3−33300000000000000000000
χ412222-2-2-2-222-12-2-222-1-1-122i2i−2i−2i11-2-211-2-22i2i2i2i−2i−2i−2i−2i-1-1-122-1-1-1-1-1-1-1−2i2i11-2-211111111−i−iii−2i−2iii−i−i2i2i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000−i3i3i3−i33−3−3300000000
χ422222-2-2-2-222-12-2-222-1-1-122i2i−2i−2i11-2-211-2-22i2i2i2i−2i−2i−2i−2i-1-1-122-1-1-1-1-1-1-1−2i2i11-2-211111111−i−iii−2i−2iii−i−i2i2i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000i3−i3−i3i3−333−300000000
χ432222-2-2-2-222-12-2-222-1-1-12−2i−2i2i2i11-2-211-2-2−2i−2i−2i−2i2i2i2i2i-1-1-122-1-1-1-1-1-1-12i−2i11-2-211111111ii−i−i2i2i−i−iii−2i−2iiiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000−i3i3i3−i3−333−300000000
χ442222-2-2-2-222-12-2-222-1-1-12−2i−2i2i2i11-2-211-2-2−2i−2i−2i−2i2i2i2i2i-1-1-122-1-1-1-1-1-1-12i−2i11-2-211111111ii−i−i2i2i−i−iii−2i−2iiiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000i3−i3−i3i33−3−3300000000
χ452222-2-2-2-2-2-22-122-1-1222-12i2i−2i−2i-2-211-2-211−i−i−i−iiiii-1-2-211-1-11111-12i−2i22-1-1-1-1-1-111112i2i2i2i−i−i−2i−2i−2i−2iii−i−i−i−i−i−i−i−iiiiiiiii22-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii00000000000000000000
χ462222-2-2-2-2-2-22-122-1-1222-12i2i−2i−2i-2-211-2-211−i−i−i−iiiii-1-2-211-1-11111-12i−2i22-1-1-1-1-1-111112i2i2i2i−i−i−2i−2i−2i−2iii−i−i−i−i−i−i−i−iiiiiiiii-2-2221111−2i−2i2i2i-1-1-1-1iiii−i−i−i−i00000000000000000000
χ472222-2-2-2-2-2-22-122-1-1222-1−2i−2i2i2i-2-211-2-211iiii−i−i−i−i-1-2-211-1-11111-1−2i2i22-1-1-1-1-1-11111−2i−2i−2i−2iii2i2i2i2i−i−iiiiiiiii−i−i−i−i−i−i−i−i22-2-2-1-1-1-1−2i−2i2i2i1111iiii−i−i−i−i00000000000000000000
χ482222-2-2-2-2-2-22-122-1-1222-1−2i−2i2i2i-2-211-2-211iiii−i−i−i−i-1-2-211-1-11111-1−2i2i22-1-1-1-1-1-11111−2i−2i−2i−2iii2i2i2i2i−i−iiiiiiiii−i−i−i−i−i−i−i−i-2-22211112i2i−2i−2i-1-1-1-1−i−i−i−iiiii00000000000000000000
χ492222-2-2-2-2-2-2-122222-1-1-122i2i−2i−2i11-2-211-2-22i2i2i2i−2i−2i−2i−2i-111-2-2-1-11111-12i−2i-1-122-1-1-1-11111−i−i−i−i2i2iiiii−2i−2i−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000002-22i−2i-1-111−i−iii00000000
χ502222-2-2-2-2-2-2-122222-1-1-122i2i−2i−2i11-2-211-2-22i2i2i2i−2i−2i−2i−2i-111-2-2-1-11111-12i−2i-1-122-1-1-1-11111−i−i−i−i2i2iiiii−2i−2i−i−i−i−i−i−i−i−iiiiiiiii000000000000000000000000-22−2i2i11-1-1ii−i−i00000000
χ512222-2-2-2-2-2-2-122222-1-1-12−2i−2i2i2i11-2-211-2-2−2i−2i−2i−2i2i2i2i2i-111-2-2-1-11111-1−2i2i-1-122-1-1-1-11111iiii−2i−2i−i−i−i−i2i2iiiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000002-2−2i2i-1-111ii−i−i00000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.