Finite Group Databasebeta

← Group #11784918

Character table — Group #11784918

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222222444444444444444444444444444488888888888888888888888888888888888888888888888888883636363636363636363636367272
order124422233334446666121212121212121222446666666666661212121212121212121212124466666666881212121212121212121212121212121212121212121212122424242424242424242424242424242422224444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ711111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1
χ911-1-11-1-1111111-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-1i−i1111-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1111-1-1-1ii−i−ii−i
χ1011-1-11-1-1111111-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-1i−i1111-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1111−i−iii−ii
χ1111-1-11-1-1111111-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−ii1111-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-1111-1-1-1−i−iii−ii
χ1211-1-11-1-1111111-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−ii1111-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1111ii−i−ii−i
χ1311-1-11-1-1111111-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-111111111-1-1-1-1i−i-1-1-1-11111−ii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1-1-11-111ii−i−i−ii
χ1411-1-11-1-1111111-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-111111111-1-1-1-1i−i-1-1-1-11111−ii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1111-11-1-1−i−iiii−i
χ1511-1-11-1-1111111-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-111111111-1-1-1-1−ii-1-1-1-11111i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-1-11-111−i−iiii−i
χ1611-1-11-1-1111111-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-111111111-1-1-1-1−ii-1-1-1-11111i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1111-11-1-1ii−i−i−ii
χ1722222222-1-1-12222-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000
χ1822222222-1-1-12222-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100000000000000
χ1922222222-1-1-12222-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-122-2111-2111-2-2-2111-211122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111100000000000000
χ2022222222-1-1-12222-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2111-211122-2111-2111-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000000000
χ212222222-12-1-1222-12-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-122-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000000000
χ222222222-12-1-1222-12-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-2-2-12-1-1-12-1-1-2-2-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-2111100000000000000
χ232222222-12-1-1222-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1221-2111-211-2-21-2111-211-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100000000000000
χ242222222-12-1-1222-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-2-21-2111-211221-2111-21111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100000000000000
χ252222222-1-12-1222-1-12-1-1-1-1-122-1-12222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-122-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-100000000000000
χ262222222-1-12-1222-1-12-1-1-1-1-122-1-12222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-2-2-1-12-1-1-12-1-2-2-1-12-1-1-12-11111-2-2111111-2-2111111-2-2111111-2-21100000000000000
χ272222222-1-12-1222-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-12211-2111-21-2-211-2111-21-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-21100000000000000
χ282222222-1-12-1222-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-2-211-2111-212211-2111-211111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-100000000000000
χ292222222-1-1-12222-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12200000000000000
χ302222222-1-1-12222-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-2-2-1-1-12-1-1-12-2-2-1-1-12-1-1-12111111-2-2111111-2-2111111-2-2111111-2-200000000000000
χ312222222-1-1-12222-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1222111-2111-2-2-2111-2111-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-200000000000000
χ322222222-1-1-12222-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-2-2111-2111-222111-2111-2111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-12200000000000000
χ3322222-2-22222-2-2222222222222200002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000000000002-2002-2000000
χ3422222-2-22222-2-2222222222222200002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000000000-2200-22000000
χ352222-22-222222-2-22222222222222-2-22-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-2002222-2-2-2-200-2-2-2-222220000000000000000000000000000000000000000000000
χ362222-22-222222-2-2222222222222-222-2-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-200-2-2-2-22222002222-2-2-2-20000000000000000000000000000000000000000000000
χ372222-22-22-1-1-12-2-22-1-1-122-1-1-1-1-1-12-2-22-2111-21112-1-1-12-2-11-11-11-2111002-1-1-1-211100-21112-1-1-100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300000000000000
χ382222-22-22-1-1-12-2-22-1-1-122-1-1-1-1-1-12-2-22-2111-21112-1-1-12-2-11-11-11-2111002-1-1-1-211100-21112-1-1-100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300000000000000
χ392222-22-22-1-1-12-2-22-1-1-122-1-1-1-1-1-1-222-2-2111-21112-1-1-12-2-11-11-11-211100-21112-1-1-1002-1-1-1-211100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300000000000000
χ402222-22-22-1-1-12-2-22-1-1-122-1-1-1-1-1-1-222-2-2111-21112-1-1-12-2-11-11-11-211100-21112-1-1-1002-1-1-1-211100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300000000000000
χ412222-22-2-12-1-12-2-2-12-1-1-1-122-1-1-1-12-2-221-2111-211-12-1-1-112-2-11-111-21100-12-1-11-211001-211-12-1-1−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3−i3i300−i3i3i3−i300000000000000
χ422222-22-2-12-1-12-2-2-12-1-1-1-122-1-1-1-12-2-221-2111-211-12-1-1-112-2-11-111-21100-12-1-11-211001-211-12-1-1i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3i3−i300i3−i3−i3i300000000000000
χ432222-22-2-12-1-12-2-2-12-1-1-1-122-1-1-1-1-222-21-2111-211-12-1-1-112-2-11-111-211001-211-12-1-100-12-1-11-211−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3i3−i300i3−i3−i3i3i3−i300i3−i3−i3i300000000000000
χ442222-22-2-12-1-12-2-2-12-1-1-1-122-1-1-1-1-222-21-2111-211-12-1-1-112-2-11-111-211001-211-12-1-100-12-1-11-211i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3−i3i300−i3i3i3−i3−i3i300−i3i3i3−i300000000000000
χ452222-22-2-1-12-12-2-2-1-12-1-1-1-1-122-1-12-2-2211-2111-21-1-12-1-11-112-2-1111-2100-1-12-111-210011-21-1-12-1−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300−i3i300000000000000
χ462222-22-2-1-12-12-2-2-1-12-1-1-1-1-122-1-12-2-2211-2111-21-1-12-1-11-112-2-1111-2100-1-12-111-210011-21-1-12-1i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300i3−i300000000000000
χ472222-22-2-1-12-12-2-2-1-12-1-1-1-1-122-1-1-222-211-2111-21-1-12-1-11-112-2-1111-210011-21-1-12-100-1-12-111-21−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3i3−i3−i3i300i3−i3i3−i3−i3i300i3−i300000000000000
χ482222-22-2-1-12-12-2-2-1-12-1-1-1-1-122-1-1-222-211-2111-21-1-12-1-11-112-2-1111-210011-21-1-12-100-1-12-111-21i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3−i3i3i3−i300−i3i3−i3i3i3−i300−i3i300000000000000
χ492222-22-2-1-1-122-2-2-1-1-12-1-1-1-1-1-1222-2-22111-2111-2-1-1-12-11-11-112-2111-200-1-1-12111-200111-2-1-1-12−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3−i3i3i3−i30000000000000000
χ502222-22-2-1-1-122-2-2-1-1-12-1-1-1-1-1-1222-2-22111-2111-2-1-1-12-11-11-112-2111-200-1-1-12111-200111-2-1-1-12i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3i3−i3−i3i30000000000000000
χ512222-22-2-1-1-122-2-2-1-1-12-1-1-1-1-1-122-222-2111-2111-2-1-1-12-11-11-112-2111-200111-2-1-1-1200-1-1-12111-2−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300i3−i3i3−i3−i3i300i3−i3i3−i3−i3i30000000000000000
χ522222-22-2-1-1-122-2-2-1-1-12-1-1-1-1-1-122-222-2111-2111-2-1-1-12-11-11-112-2111-200111-2-1-1-1200-1-1-12111-2i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300−i3i3−i3i3i3−i300−i3i3−i3i3i3−i30000000000000000
χ532222-2-222222-22-22222222222220000-2-2-2-22222-2-2-2-2-22-22-22-22-2-2-2-200000000000000000000000000000000000000000000000000002-200-2200000000
χ542222-2-222222-22-22222222222220000-2-2-2-22222-2-2-2-2-22-22-22-22-2-2-2-20000000000000000000000000000000000000000000000000000-22002-200000000
χ5522-2-22222222-2-2-22222-2-2-2-2-2-2-2-20000222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000002-200-22000000
χ5622-2-22222222-2-2-22222-2-2-2-2-2-2-2-20000222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000-22002-2000000
χ5722-2-22-2-22-1-1-122-22-1-1-1-2-21111112-22-22-1-1-1-2111-211122-1-1-1-1-1-1-21112i−2i2-1-1-1-21112i−2i2-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii00000000000000
χ5822-2-22-2-22-1-1-122-22-1-1-1-2-21111112-22-22-1-1-1-2111-211122-1-1-1-1-1-1-2111−2i2i2-1-1-1-2111−2i2i2-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000000000
χ5922-2-22-2-22-1-1-122-22-1-1-1-2-2111111-22-222-1-1-1-2111-211122-1-1-1-1-1-1-21112i−2i-21112-1-1-1−2i2i-21112-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000000000
χ6022-2-22-2-22-1-1-122-22-1-1-1-2-2111111-22-222-1-1-1-2111-211122-1-1-1-1-1-1-2111−2i2i-21112-1-1-12i−2i-21112-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii00000000000000
χ6122-2-22-2-2-12-1-122-2-12-1-111-2-211112-22-2-12-1-11-2111-211-1-122-1-1-1-11-2112i−2i-12-1-11-2112i−2i-12-1-11-211−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii00000000000000
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χ6322-2-22-2-2-12-1-122-2-12-1-111-2-21111-22-22-12-1-11-2111-211-1-122-1-1-1-11-2112i−2i1-211-12-1-1−2i2i1-211-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i00000000000000
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χ6522-2-22-2-2-1-12-122-2-1-12-11111-2-2112-22-2-1-12-111-2111-21-1-1-1-122-1-111-212i−2i-1-12-111-212i−2i-1-12-111-21−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii00000000000000
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χ10844-4-4-44-4-2-2-24-444-2-2-24222222-4-40000222-4222-4-2-2-242-22-22-2-44-2-2-24000000000000000000000000000000000000000000000000000000000000000000
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χ1138-88i−8i0008-4-4-4000-84448i−8i−4i4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88i−8i000-48-4-40004-844−4i4i8i−8i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88i−8i000-4-48-400044-84−4i4i−4i4i8i−8i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88i−8i000-4-4-48000444-8−4i4i−4i4i−4i4i8i−8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8−8i8i0008-4-4-4000-8444−8i8i4i−4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8−8i8i000-48-4-40004-8444i−4i−8i8i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8−8i8i000-4-48-400044-844i−4i4i−4i−8i8i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8−8i8i000-4-4-48000444-84i−4i4i−4i4i−4i−8i8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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