Finite Group Databasebeta

← Group #11787220

Character table — Group #11787220

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order122244442222334444666666666612121212121212121212121223466666666666666666666666661212121212121212121212121212121212121212121212121212444444441212121212121212121212121212121224446612121212121288888888
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
χ511111111-1-1111111-1-11111111111111111111111-11-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1
χ611111111-1-1111111-1-11111111111111111111111-11-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111
χ711111111-1-1111111-1-11111111111111111111111-11-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-11111
χ811111111-1-1111111-1-11111111111111111111111-11-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-11111-1-1-1-1
χ91111-1-1-1-111-1-11111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111-1-11111-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1ii−i−iii−i−i
χ101111-1-1-1-111-1-11111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111-1-11111-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-11111−i−iii−i−iii
χ111111-1-1-1-111-1-11111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111-1-11111-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1−i−iii−i−iii
χ121111-1-1-1-111-1-11111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111-1-11111-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-11111ii−i−iii−i−i
χ131111-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-11-111-1-111-1-1ii−i−i−i−iii
χ141111-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-11-11-1-111-1-111−i−iiiii−i−i
χ151111-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-11-111-1-111-1-1−i−iiiii−i−i
χ161111-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-111-1-111ii−i−i−i−iii
χ172222222222222-122222222222-1-1-122222222-1-1-1-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ182222222222222-122222222222-1-1-122222222-1-1-1-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ19222222222222-122222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122222-12-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222222-122222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122222-12-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ212222222222-2-222-2-222222-2-2-2-2222-2-2-2-222222222-22-222-2-2-2-222-2-222-2-2-2-22222-2-2-2-22-2-222-2-2-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ222222222222-2-22-1-2-222222-2-2-2-2-1-1-1-2-2-2-22222-1-1-1-1-2-1-222-2-211-1-111-1-11111-1-1-1-11111-1-2-2221111-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ232222222222-2-22-1-2-222222-2-2-2-2-1-1-1-2-2-2-22222-1-1-1-1-2-1-222-2-211-1-111-1-11111-1-1-1-11111-1-2-2221111-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ242222222222-2-2-12-2-222-1-1-111112221111-1-1-1-12222-2-1-2-1-111-2-222-2-2-1-11111-1-1-1-11111-111-1-1-2-2-2-2221111-1-1-1-11111-1-1-1-10000000033−3−333−3−333−3−333−3−300000000000000000000
χ252222222222-2-2-12-2-222-1-1-111112221111-1-1-1-12222-2-1-2-1-111-2-222-2-2-1-11111-1-1-1-11111-111-1-1-2-2-2-2221111-1-1-1-11111-1-1-1-100000000−3−333−3−333−3−333−3−33300000000000000000000
χ2622222222-2-2222-122-2-22222222-1-1-122222222-1-1-1-1-2-1-2-2-2-2-2-1-11111-1-1-1-1-1-111111111-1-2-2-2-2-1-11111-1-1-1-1-1-1-1-1111111110000000000000000000000002-2-22-1-11111-1-100000000
χ2722222222-2-2222-122-2-22222222-1-1-122222222-1-1-1-1-2-1-2-2-2-2-2-1-11111-1-1-1-1-1-111111111-1-2-2-2-2-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000-222-211-1-1-1-11100000000
χ2822222222-2-222-1222-2-2-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222-2-1-2111122-2-2-2-2-1-1-1-1-1-111111111-1111122-2-2-2-2-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ2922222222-2-222-1222-2-2-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222-2-1-2111122-2-2-2-2-1-1-1-1-1-111111111-1111122-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ3022222222-2-2-2-222-2-2-2-2222-2-2-2-2222-2-2-2-222222222222-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222222-2-2-2-222-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ3122222222-2-2-2-22-1-2-2-2-2222-2-2-2-2-1-1-1-2-2-2-22222-1-1-1-12-12-2-2221111-1-1-1-111111111-1-1-1-1-122-2-211-1-1111111-1-1-1-1-1-1-1-111110000000000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ3222222222-2-2-2-22-1-2-2-2-2222-2-2-2-2-1-1-1-2-2-2-22222-1-1-1-12-12-2-2221111-1-1-1-111111111-1-1-1-1-122-2-211-1-1111111-1-1-1-1-1-1-1-111110000000000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ3322222222-2-2-2-2-12-2-2-2-2-1-1-111112221111-1-1-1-122222-1211-1-1-2-2-2-222-1-111111111-1-1-1-1-1-1-111-2-222-2-21111-1-1-1-1-1-1-1-111110000000033−3−333−3−3−3−333−3−33300000000000000000000
χ3422222222-2-2-2-2-12-2-2-2-2-1-1-111112221111-1-1-1-122222-1211-1-1-2-2-2-222-1-111111111-1-1-1-1-1-1-111-2-222-2-21111-1-1-1-1-1-1-1-1111100000000−3−333−3−33333−3−333−3−300000000000000000000
χ352222-2-2-2-2222222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222-22222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ362222-2-2-2-222222-1-2-2-2-22222222-1-1-1-2-2-2-2-2-2-2-211112-1-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111111111110000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ372222-2-2-2-222222-1-2-2-2-22222222-1-1-1-2-2-2-2-2-2-2-211112-1-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111111111110000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ382222-2-2-2-22222-12-2-2-2-2-1-1-1-1-1-1-122211111111-2-2-2-22-1-2-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2111111111111111100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ392222-2-2-2-22222-12-2-2-2-2-1-1-1-1-1-1-122211111111-2-2-2-22-1-2-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2111111111111111100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ402222-2-2-2-222-2-22-122-2-2222-2-2-2-2-1-1-12222-2-2-2-21111-2-1222-2-211-1-111-1-11111-1-1-1-11111-122-2-2-1-1-1-111-1-1-1-11111-1-1-1-1111100000000000000000000000022-2-2-1-1-1-1111100000000
χ412222-2-2-2-222-2-22-122-2-2222-2-2-2-2-1-1-12222-2-2-2-21111-2-1222-2-211-1-111-1-11111-1-1-1-11111-122-2-2-1-1-1-111-1-1-1-11111-1-1-1-11111000000000000000000000000-2-2221111-1-1-1-100000000
χ422222-2-2-2-222-2-2-1222-2-2-1-1-11111222-1-1-1-11111-2-2-2-2-2-12-1-111-2-222-2-2-1-11111-1-1-1-11111-1-1-1112222-2-2-1-1-1-11111-1-1-1-111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii00000000000000000000
χ432222-2-2-2-222-2-2-1222-2-2-1-1-11111222-1-1-1-11111-2-2-2-2-2-12-1-111-2-222-2-2-1-11111-1-1-1-11111-1-1-1112222-2-2-1-1-1-11111-1-1-1-11111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i00000000000000000000
χ442222-2-2-2-2-2-22222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-222222-2-22222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
χ452222-2-2-2-2-2-2222-1-2-2222222222-1-1-1-2-2-2-2-2-2-2-21111-2-12-2-2-2-2-1-11111-1-1-1-1-1-111111111-1222211-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ462222-2-2-2-2-2-2222-1-2-2222222222-1-1-1-2-2-2-2-2-2-2-21111-2-12-2-2-2-2-1-11111-1-1-1-1-1-111111111-1222211-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ472222-2-2-2-2-2-222-12-2-222-1-1-1-1-1-1-122211111111-2-2-2-2-2-12111122-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-2-2222211111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ482222-2-2-2-2-2-222-12-2-222-1-1-1-1-1-1-122211111111-2-2-2-2-2-12111122-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-2-2222211111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ492222-2-2-2-2-2-2-2-22-12222222-2-2-2-2-1-1-12222-2-2-2-211112-1-2-2-2221111-1-1-1-111111111-1-1-1-1-1-2-222-1-111-1-1-1-1-1-111111111-1-1-1-10000000000000000000000002-22-2-1-111-1-11100000000
χ502222-2-2-2-2-2-2-2-22-12222222-2-2-2-2-1-1-12222-2-2-2-211112-1-2-2-2221111-1-1-1-111111111-1-1-1-1-1-2-222-1-111-1-1-1-1-1-111111111-1-1-1-1000000000000000000000000-22-2211-1-111-1-100000000
χ512222-2-2-2-2-2-2-2-2-122222-1-1-11111222-1-1-1-11111-2-2-2-22-1-211-1-1-2-2-2-222-1-111111111-1-1-1-1-111-1-122-2-222-1-1-1-111111111-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000
χ522222-2-2-2-2-2-2-2-2-122222-1-1-11111222-1-1-1-11111-2-2-2-22-1-211-1-1-2-2-2-222-1-111111111-1-1-1-1-111-1-122-2-222-1-1-1-111111111-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000
χ5322-2-22i−2i2i−2i2-20022002i−2i2-2-200002-2-200002i2i−2i−2i2i2i−2i−2i0202-200002-2002-2000022-2-20000-2002i−2i00002i−2i00002i2i−2i−2i00002i2i−2i−2i1+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+i00000000000000000000
χ5422-2-22i−2i2i−2i2-20022002i−2i2-2-200002-2-200002i2i−2i−2i2i2i−2i−2i0202-200002-2002-2000022-2-20000-2002i−2i00002i−2i00002i2i−2i−2i00002i2i−2i−2i−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−i00000000000000000000
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χ1384-4-44-4-44400-44-2-24-40022-22-22-222-2-22-222-22-22-22-201000002-20000-1-1-11-11-333-3-333-310000-2200001-11-1-11-113-3-333-3-3300000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.