Finite Group Databasebeta

← Group #11771128

Character table — Group #11771128

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111111122222222222222222222222222222222222222224444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121272727272
order12224444334444444466666612121212121212121212121212121212121212121212121223466666666666121212121212121212121212121212121212121212121212121212121212121212121212888888888888888824242424242424242424242424242424242424242424242424242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1
χ61111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111
χ71111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-111
χ81111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1
χ91111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i
χ101111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii
χ111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−ii−ii
χ121111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111−i−iii−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiii−ii−i
χ131111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−iii−i
χ141111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1i−i−ii
χ151111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111i−i−ii
χ161111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−iii−i
χ17222222222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-22222-22-2-2-2-2-2-2-2-2-2222-2-2-2-222-2-222-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000
χ182222222222-2-22222-2-222222222222222-2-2-2-222222222-2-2-2-2-22-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000000000
χ19222222222-122222222222-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122222-1222-1-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-122222222222-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122222-1222-1-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000111111111111111100000000000000000000
χ21222222222-122-2-2-2-222222-1-1-12222-1-1-1-12222111111112222-2-1-2-2-2111111-1-1-1-2-211-1-1-2-2-1-1-2-21111-1-1-1-1-1-1-1-11111-1-1-1-11111000000000000000033−3−333−3−333−3−333−3−300000000000000000000
χ22222222222-122-2-2-2-222222-1-1-12222-1-1-1-12222111111112222-2-1-2-2-2111111-1-1-1-2-211-1-1-2-2-1-1-2-21111-1-1-1-1-1-1-1-11111-1-1-1-111110000000000000000−3−333−3−333−3−333−3−33300000000000000000000
χ23222222222-1-2-22222-2-2222-1-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-1-2-2-2111111-1-1-1-2-211112211221111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ24222222222-1-2-22222-2-2222-1-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-1-2-2-2111111-1-1-1-2-211112211221111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ25222222222-1-2-2-2-2-2-2-2-2222-1-1-12222-1-1-1-1-2-2-2-211111111-2-2-2-22-1222-1-1-1-1-1-1-1-1-122-1-111-2-211-2-2-1-1-1-1-1-1-1-111111111111111112i2i2i2i−2i−2i−2i−2i00000000−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000
χ26222222222-1-2-2-2-2-2-2-2-2222-1-1-12222-1-1-1-1-2-2-2-211111111-2-2-2-22-1222-1-1-1-1-1-1-1-1-122-1-111-2-211-2-2-1-1-1-1-1-1-1-11111111111111111−2i−2i−2i−2i2i2i2i2i00000000iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000
χ2722222222-1222222222-1-1-1222-1-1-1-12222-1-1-1-122222222-1-1-1-12-12-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ2822222222-1222222222-1-1-1222-1-1-1-12222-1-1-1-122222222-1-1-1-12-12-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2000000000000000011111111111111110000
χ2922222222-1222-2-2-2-222-1-1-1222-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-2-1-211-2-21111-1-1-111-2-2221122111111-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000000000000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000
χ3022222222-1222-2-2-2-222-1-1-1222-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-2-1-211-2-21111-1-1-111-2-2221122111111-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000000000000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000
χ3122222222-12-2-22222-2-2-1-1-1222-1-1-1-122221111222222221111-2-1-211-2-21111-1-1-111-2-2-2-2-1-1-2-2-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000000033−3−333−3−3−3−333−3−3330000
χ3222222222-12-2-22222-2-2-1-1-1222-1-1-1-122221111222222221111-2-1-211-2-21111-1-1-111-2-2-2-2-1-1-2-2-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000000000000000−3−333−3−33333−3−333−3−30000
χ3322222222-12-2-2-2-2-2-2-2-2-1-1-1222-1-1-1-122221111-2-2-2-2-2-2-2-211112-12-1-122-1-1-1-1-1-1-1-1-122-2-211-2-211-1-1-1-1-1-1-1-11111111111111111000000002i2i2i2i−2i−2i−2i−2i0000000000000000−i−i−i−i−i−i−i−iiiiiiiii0000
χ3422222222-12-2-2-2-2-2-2-2-2-1-1-1222-1-1-1-122221111-2-2-2-2-2-2-2-211112-12-1-122-1-1-1-1-1-1-1-1-122-2-211-2-211-1-1-1-1-1-1-1-1111111111111111100000000−2i−2i−2i−2i2i2i2i2i0000000000000000iiiiiiii−i−i−i−i−i−i−i−i0000
χ352222-2-2-2-2222222-2-2-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-222222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000000000
χ362222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000000000000000
χ372222-2-2-2-22-12222-2-2-2-2222-1-1-1-2-2-2-211112222-1-1-1-11111-2-2-2-22-1-222-1-1-1-1-1-1-1-1-1-2-211-1-1-2-2112211111111-1-1-1-111111111-1-1-1-1000000000000000033−3−3−3−33333−3−3−3−33300000000000000000000
χ382222-2-2-2-22-12222-2-2-2-2222-1-1-1-2-2-2-211112222-1-1-1-11111-2-2-2-22-1-222-1-1-1-1-1-1-1-1-1-2-211-1-1-2-2112211111111-1-1-1-111111111-1-1-1-10000000000000000−3−33333−3−3−3−33333−3−300000000000000000000
χ392222-2-2-2-22-122-2-222-2-2222-1-1-1-2-2-2-2111122221111-1-1-1-1-2-2-2-2-2-12-2-2111111-1-1-122-1-1-1-12211-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-2-222-2-200000000-1-1-1-11111-1-1-1-1111100000000000000000000
χ402222-2-2-2-22-122-2-222-2-2222-1-1-1-2-2-2-2111122221111-1-1-1-1-2-2-2-2-2-12-2-2111111-1-1-122-1-1-1-12211-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-222-2-222000000001111-1-1-1-11111-1-1-1-100000000000000000000
χ412222-2-2-2-22-1-2-222-2-222222-1-1-1-2-2-2-21111-2-2-2-2-1-1-1-111112222-2-12-2-2111111-1-1-122-1-111-2-2-1-122-1-1-1-1111111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i00000000−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000
χ422222-2-2-2-22-1-2-222-2-222222-1-1-1-2-2-2-21111-2-2-2-2-1-1-1-111112222-2-12-2-2111111-1-1-122-1-111-2-2-1-122-1-1-1-1111111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2i00000000iiii−i−i−i−i−i−i−i−iiiii00000000000000000000
χ432222-2-2-2-22-1-2-2-2-22222222-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-122222-1-222-1-1-1-1-1-1-1-1-1-2-2111122-1-1-2-2111111111111-1-1-1-1-1-1-1-111110000000000000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ442222-2-2-2-22-1-2-2-2-22222222-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-122222-1-222-1-1-1-1-1-1-1-1-1-2-2111122-1-1-2-2111111111111-1-1-1-1-1-1-1-111110000000000000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ452222-2-2-2-2-122222-2-2-2-2-1-1-12221111-2-2-2-2-1-1-1-12222-2-2-2-211112-1-2-1-122-1-1-1-1-1-1-111-2-22211-2-2-1-111111111-1-1-1-111111111-1-1-1-10000000000000000000000000000000033−3−3−3−33333−3−3−3−3330000
χ462222-2-2-2-2-122222-2-2-2-2-1-1-12221111-2-2-2-2-1-1-1-12222-2-2-2-211112-1-2-1-122-1-1-1-1-1-1-111-2-22211-2-2-1-111111111-1-1-1-111111111-1-1-1-100000000000000000000000000000000−3−33333−3−3−3−33333−3−30000
χ472222-2-2-2-2-1222-2-222-2-2-1-1-12221111-2-2-2-2-1-1-1-1-2-2-2-222221111-2-1211-2-21111-1-1-1-1-12222-1-1-2-211-1-1-1-11111-1-1-1-1-1-1-1-111111111000000002i2i−2i−2i2i2i−2i−2i0000000000000000−i−i−i−iiiii−i−i−i−iiiii0000
χ482222-2-2-2-2-1222-2-222-2-2-1-1-12221111-2-2-2-2-1-1-1-1-2-2-2-222221111-2-1211-2-21111-1-1-1-1-12222-1-1-2-211-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000−2i−2i2i2i−2i−2i2i2i0000000000000000iiii−i−i−i−iiiii−i−i−i−i0000
χ492222-2-2-2-2-12-2-222-2-222-1-1-12221111-2-2-2-211112222-2-2-2-2-1-1-1-1-2-1211-2-21111-1-1-1-1-122-2-21122-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-10000000022-2-2-2-2220000000000000000-1-1-1-111111111-1-1-1-10000
χ502222-2-2-2-2-12-2-222-2-222-1-1-12221111-2-2-2-211112222-2-2-2-2-1-1-1-1-2-1211-2-21111-1-1-1-1-122-2-21122-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000-2-22222-2-200000000000000001111-1-1-1-1-1-1-1-111110000
χ512222-2-2-2-2-12-2-2-2-22222-1-1-12221111-2-2-2-21111-2-2-2-22222-1-1-1-12-1-2-1-122-1-1-1-1-1-1-111-2-2-2-2-1-12211111111111111-1-1-1-1-1-1-1-1111100000000000000000000000000000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000
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χ1404-4-4444-4-4-2-20000000022-222-2-222-2-222-2−232323−2323−23−2323−232323−2323−23−232301000003-3-33-1-110000000000003-3-331-1-113−3−333−3−33−333−3−333−30000000000000000000000000000000000000000000000000000
χ1414-4-4444-4-4-2-20000000022-222-2-222-2-222-2−232323−23−232323−2323−23−232323−23−23230100000-333-3-1-11000000000000-333-31-1-113−3−33−333−3−333−33−3−330000000000000000000000000000000000000000000000000000
χ1424-4-44-4-4444400000000-4-44-4-44-444-4-444-4000000000000000004000000000-4-440000000000000000-444-400000000000000000000000000000000000000000000000000000000000000000000
χ1434-4-44-4-4444-200000000-4-4422-2-444-42-2-22000023−23−232323−23−232300000-200000000022-200000000000000002-2-22000023−23−2323000023−23−23230000000000000000000000000000000000000000000000000000
χ1444-4-44-4-4444-200000000-4-4422-2-444-42-2-220000−232323−23−232323−2300000-200000000022-200000000000000002-2-220000−232323−230000−232323−230000000000000000000000000000000000000000000000000000
χ1454-4-44-4-444-240000000022-2-4-442-2-22-444-423−23−23230000000023−23−23230-200000000022-200000000000000002-2-2223−23−2323000023−23−232300000000000000000000000000000000000000000000000000000000
χ1464-4-44-4-444-240000000022-2-4-442-2-22-444-4−232323−2300000000−232323−230-200000000022-200000000000000002-2-22−232323−230000−232323−2300000000000000000000000000000000000000000000000000000000
χ1474-4-44-4-444-2-20000000022-222-22-2-222-2-2223−23−232323−23−232323−23−232323−23−23230100000-333-3-1-110000000000003-3-33-111-1−333−3−333−3−333−3−333−30000000000000000000000000000000000000000000000000000
χ1484-4-44-4-444-2-20000000022-222-22-2-222-2-2223−23−2323−232323−23−232323−2323−23−232301000003-3-33-1-11000000000000-333-3-111-1−333−33−3−33−333−33−3−330000000000000000000000000000000000000000000000000000
χ1494-4-44-4-444-2-20000000022-222-22-2-222-2-22−232323−2323−23−232323−23−2323−232323−2301000003-3-33-1-11000000000000-333-3-111-13−3−33−333−33−3−33−333−30000000000000000000000000000000000000000000000000000
χ1504-4-44-4-444-2-20000000022-222-22-2-222-2-22−232323−23−232323−23−232323−23−232323−230100000-333-3-1-110000000000003-3-33-111-13−3−333−3−333−3−333−3−330000000000000000000000000000000000000000000000000000

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