Finite Group Databasebeta

← Group #11784801

Character table — Group #11784801

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111111122222222222222222222222222222222222222224444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121272727272
order1222444422223344446666666666666612121212121212121212121212121212234666666666666666666666661212121212121212121212121212121212121212121212122222444444444444666666661212121212121212121212121212121212121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ511111111-1-1111111-1-11111-1-1-1-1111111111111111111-1-1-1-1-11-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111-1-1111111-1-11111-1-1-1-1111111111111111111-1-1-1-1-11-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ711111111-1-1111111-1-11111-1-1-1-1111111111111111111-1-1-1-1-11-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ811111111-1-1111111-1-11111-1-1-1-1111111111111111111-1-1-1-1-11-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111-1-1-1-111-1-11111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i11111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1i−ii−i
χ101111-1-1-1-111-1-11111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii11111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1−ii−ii
χ111111-1-1-1-111-1-11111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−iii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11111111−ii−ii
χ121111-1-1-1-111-1-11111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iii−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11111111i−ii−i
χ131111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111ii−i−i−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111i−i−ii
χ141111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111−i−iiiii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−iii−i
χ151111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−iii−i
χ161111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1i−i−ii
χ172222222222222-1222222-1-1-1-1-1-122222-122222222-1-1-1-1-1-1-1-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-10000
χ182222222222222-1222222-1-1-1-1-1-122222-122222222-1-1-1-1-1-1-1-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000111111110000000000000000111111110000
χ19222222222222-122222-1-1222222-1-1-1-1-12-1-1-1-1-1-1-1-1222222222-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ20222222222222-122222-1-1222222-1-1-1-1-12-1-1-1-1-1-1-1-1222222222-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2000000001111111111111111000000000000
χ212222222222-2-222-2-222222222222-2-2-2-22-2-2-2-2222222222222-22-222-2-2-2-2-2-222-2-2-2-22222-2-2-2-22-2-222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000000000
χ222222222222-2-22-1-2-22222-1-1-1-1-1-12-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-1-222-2-21111-1-11111-1-1-1-11111-1-2-22211111111-1-1-1-11111-1-1-1-10000000000000000−i3−i3i3i3−i3−i3i3i30000000000000000−i3−i3i3i3−i3−i3i3i30000
χ232222222222-2-22-1-2-22222-1-1-1-1-1-12-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-1-222-2-21111-1-11111-1-1-1-11111-1-2-22211111111-1-1-1-11111-1-1-1-10000000000000000i3i3−i3−i3i3i3−i3−i30000000000000000i3i3−i3−i3i3i3−i3−i30000
χ242222222222-2-2-12-2-222-1-1222222-1111121111-1-1-1-122222222-2-1-2-1-111-2-2-2-2-1-11111-1-1-1-11111-111-1-1-2-2-2-21111-1-1-1-11111-1-1-1-100000000000000000000000033−3−333−3−333−3−333−3−3000000000000
χ252222222222-2-2-12-2-222-1-1222222-1111121111-1-1-1-122222222-2-1-2-1-111-2-2-2-2-1-11111-1-1-1-11111-111-1-1-2-2-2-21111-1-1-1-11111-1-1-1-1000000000000000000000000−3−333−3−333−3−333−3−333000000000000
χ2622222222-2-2222-122-2-222-1-1111122222-122222222-1-1-1-11111-2-1-2-2-2-2-2-1-111-1-1-1-1-1-111111111-1-2-2-2-2-1-111-1-1-1-1-1-1-1-11111111122-2-222-2-200000000-1-1-1-111110000000000000000-1-1-1-111110000
χ2722222222-2-2222-122-2-222-1-1111122222-122222222-1-1-1-11111-2-1-2-2-2-2-2-1-111-1-1-1-1-1-111111111-1-2-2-2-2-1-111-1-1-1-1-1-1-1-111111111-2-222-2-222000000001111-1-1-1-100000000000000001111-1-1-1-10000
χ2822222222-2-222-1222-2-2-1-122-2-2-2-2-1-1-1-1-12-1-1-1-1-1-1-1-12222-2-2-2-2-2-1-2111122-2-2-1-1-1-1-1-111111111-1111122-2-2-1-1-1-1-1-1-1-111111111000000002222-2-2-2-200000000-1-1-1-1-1-1-1-111111111000000000000
χ2922222222-2-222-1222-2-2-1-122-2-2-2-2-1-1-1-1-12-1-1-1-1-1-1-1-12222-2-2-2-2-2-1-2111122-2-2-1-1-1-1-1-111111111-1111122-2-2-1-1-1-1-1-1-1-11111111100000000-2-2-2-222220000000011111111-1-1-1-1-1-1-1-1000000000000
χ3022222222-2-2-2-222-2-2-2-22222-2-2-2-22-2-2-2-22-2-2-2-222222222-2-2-2-2222-2-222-2-22222-2-2-2-2-2-2-2-22222222-2-2-2-222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000000000000000
χ3122222222-2-2-2-22-1-2-2-2-222-1-111112-2-2-2-2-1-2-2-2-22222-1-1-1-111112-12-2-22211-1-1-1-111111111-1-1-1-1-122-2-211-1-11111-1-1-1-1-1-1-1-111110000000000000000−i3−i3i3i3i3i3−i3−i30000000000000000−i3−i3i3i3i3i3−i3−i30000
χ3222222222-2-2-2-22-1-2-2-2-222-1-111112-2-2-2-2-1-2-2-2-22222-1-1-1-111112-12-2-22211-1-1-1-111111111-1-1-1-1-122-2-211-1-11111-1-1-1-1-1-1-1-111110000000000000000i3i3−i3−i3−i3−i3i3i30000000000000000i3i3−i3−i3−i3−i3i3i30000
χ3322222222-2-2-2-2-12-2-2-2-2-1-122-2-2-2-2-1111121111-1-1-1-12222-2-2-2-22-1211-1-1-2-222-1-111111111-1-1-1-1-1-1-111-2-2221111-1-1-1-1-1-1-1-1111100000000000000000000000033−3−333−3−3−3−333−3−333000000000000
χ3422222222-2-2-2-2-12-2-2-2-2-1-122-2-2-2-2-1111121111-1-1-1-12222-2-2-2-22-1211-1-1-2-222-1-111111111-1-1-1-1-1-1-111-2-2221111-1-1-1-1-1-1-1-11111000000000000000000000000−3−333−3−33333−3−333−3−3000000000000
χ352222-2-2-2-2222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000
χ362222-2-2-2-222222-1-2-2-2-222-1-1-1-1-1-122222-1-2-2-2-2-2-2-2-2111111112-1-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111111110000000000000000−i3−i3i3i3−i3−i3i3i30000000000000000i3i3−i3−i3i3i3−i3−i30000
χ372222-2-2-2-222222-1-2-2-2-222-1-1-1-1-1-122222-1-2-2-2-2-2-2-2-2111111112-1-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111111110000000000000000i3i3−i3−i3i3i3−i3−i30000000000000000−i3−i3i3i3−i3−i3i3i30000
χ382222-2-2-2-22222-12-2-2-2-2-1-1222222-1-1-1-1-1211111111-2-2-2-2-2-2-2-22-1-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111000000000000000000000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ392222-2-2-2-22222-12-2-2-2-2-1-1222222-1-1-1-1-1211111111-2-2-2-2-2-2-2-22-1-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111000000000000000000000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ402222-2-2-2-222-2-22-122-2-222-1-1-1-1-1-12-2-2-2-2-12222-2-2-2-211111111-2-1222-2-21111-1-11111-1-1-1-11111-122-2-2-1-1-1-1-1-1-1-11111-1-1-1-111112222-2-2-2-200000000-1-1-1-1-1-1-1-10000000000000000111111110000
χ412222-2-2-2-222-2-22-122-2-222-1-1-1-1-1-12-2-2-2-2-12222-2-2-2-211111111-2-1222-2-21111-1-11111-1-1-1-11111-122-2-2-1-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-2222200000000111111110000000000000000-1-1-1-1-1-1-1-10000
χ422222-2-2-2-222-2-2-1222-2-2-1-1222222-111112-1-1-1-11111-2-2-2-2-2-2-2-2-2-12-1-111-2-2-2-2-1-11111-1-1-1-11111-1-1-1112222-1-1-1-11111-1-1-1-11111000000002i2i−2i−2i2i2i−2i−2i00000000−i−i−i−iiiii−i−i−i−iiiii000000000000
χ432222-2-2-2-222-2-2-1222-2-2-1-1222222-111112-1-1-1-11111-2-2-2-2-2-2-2-2-2-12-1-111-2-2-2-2-1-11111-1-1-1-11111-1-1-1112222-1-1-1-11111-1-1-1-1111100000000−2i−2i2i2i−2i−2i2i2i00000000iiii−i−i−i−iiiii−i−i−i−i000000000000
χ442222-2-2-2-2-2-22222-2-2222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222-222-2-2-2-222-2-2222222-2-2-2-2-2-2-2-222222-2-222-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000
χ452222-2-2-2-2-2-2222-1-2-22222-1-1111122222-1-2-2-2-2-2-2-2-21111-1-1-1-1-2-12-2-2-2-2-1-111-1-1-1-1-1-111111111-1222211-1-111111111-1-1-1-1-1-1-1-10000000000000000−i3−i3i3i3i3i3−i3−i30000000000000000i3i3−i3−i3−i3−i3i3i30000
χ462222-2-2-2-2-2-2222-1-2-22222-1-1111122222-1-2-2-2-2-2-2-2-21111-1-1-1-1-2-12-2-2-2-2-1-111-1-1-1-1-1-111111111-1222211-1-111111111-1-1-1-1-1-1-1-10000000000000000i3i3−i3−i3−i3−i3i3i30000000000000000−i3−i3i3i3i3i3−i3−i30000
χ472222-2-2-2-2-2-222-12-2-222-1-122-2-2-2-2-1-1-1-1-1211111111-2-2-2-22222-2-12111122-2-2-1-1-1-1-1-111111111-1-1-1-1-1-2-22211111111-1-1-1-1-1-1-1-1000000000000000000000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ482222-2-2-2-2-2-222-12-2-222-1-122-2-2-2-2-1-1-1-1-1211111111-2-2-2-22222-2-12111122-2-2-1-1-1-1-1-111111111-1-1-1-1-1-2-22211111111-1-1-1-1-1-1-1-1000000000000000000000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ492222-2-2-2-2-2-2-2-22-1222222-1-111112-2-2-2-2-12222-2-2-2-21111-1-1-1-12-1-2-2-22211-1-1-1-111111111-1-1-1-1-1-2-222-1-111-1-1-1-111111111-1-1-1-122-2-2-2-22200000000-1-1-1-1111100000000000000001111-1-1-1-10000
χ502222-2-2-2-2-2-2-2-22-1222222-1-111112-2-2-2-2-12222-2-2-2-21111-1-1-1-12-1-2-2-22211-1-1-1-111111111-1-1-1-1-1-2-222-1-111-1-1-1-111111111-1-1-1-1-2-22222-2-2000000001111-1-1-1-10000000000000000-1-1-1-111110000
χ512222-2-2-2-2-2-2-2-2-122222-1-122-2-2-2-2-111112-1-1-1-11111-2-2-2-222222-1-211-1-1-2-222-1-111111111-1-1-1-1-111-1-122-2-2-1-1-1-111111111-1-1-1-1000000002i2i−2i−2i−2i−2i2i2i00000000−i−i−i−iiiiiiiii−i−i−i−i000000000000
χ522222-2-2-2-2-2-2-2-2-122222-1-122-2-2-2-2-111112-1-1-1-11111-2-2-2-222222-1-211-1-1-2-222-1-111111111-1-1-1-1-111-1-122-2-2-1-1-1-111111111-1-1-1-100000000−2i−2i2i2i2i2i−2i−2i00000000iiii−i−i−i−i−i−i−i−iiiii000000000000
χ5322-2-22i2i−2i−2i2-20022002i−2i2-22-222-2-2-20000-200002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0202-20000002-2000022-2-20000-2002i−2i000000002i2i−2i−2i00002i2i−2i−2i000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.