Finite Group Databasebeta

← Group #11784151

Character table — Group #11784151

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order12224444223344666666121212121212121236666666888812121212121212126612122424242424242424242424242424242422444444888888881212121212121212242424242424242488888888661212242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i111-1-1-1-11-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i111-1-1-1-11-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i−i−iii-1-111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1−i−iii-1-111
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i111-1-1-1-11-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iiiii−i−i11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i111-1-1-1-11-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111−i−iii11-1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii111-1-1-1-11-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iiiii−i−i-1-111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1ii−i−i-1-111
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii111-1-1-1-11-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii111-1-1-1-11-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111ii−i−i11-1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii111-1-1-1-11-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i−i−iii11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111
χ1711-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-1111-11-111-1-1-111-11-11-111-1-111-1-111-1-111-1-11-11-11-11-1i−ii−ii−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1i−ii−ii−ii−i
χ1811-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-1111-11-111-1-1-111-11-11-111-1-111-1-111-1-111-1-11-11-11-11-1−ii−ii−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii1-11-1−ii−ii−ii−ii
χ1911-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-1111-11-111-1-1-111-11-11-111-1-111-1-111-1-111-1-1-11-11-11-11i−ii−ii−ii−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-11-11i−ii−i−ii−ii
χ2011-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-1111-11-111-1-1-111-11-11-111-1-111-1-111-1-111-1-1-11-11-11-11−ii−ii−ii−ii-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-11-11−ii−iii−ii−i
χ2111-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-111-11-1111-1-1-111-11-11-1-1-111-1-111-1-111-1-1111-11-1-11-11i−ii−i−ii−ii-1-111-1-111−i−iii−i−iiiii−i−iii−i−i1-11-1i−ii−i−ii−ii
χ2211-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-111-11-1111-1-1-111-11-11-1-1-111-1-111-1-111-1-1111-11-1-11-11−ii−iii−ii−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii1-11-1−ii−iii−ii−i
χ2311-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-111-11-1111-1-1-111-11-11-1-1-111-1-111-1-111-1-111-11-111-11-1i−ii−i−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii-11-11i−ii−ii−ii−i
χ2411-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-111-11-1111-1-1-111-11-11-1-1-111-1-111-1-111-1-111-11-111-11-1−ii−iii−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-11-11−ii−ii−ii−ii
χ2511-1-1-1-1111-1111-1-1-1-1-11111-1-1-1-1111-111-1-11-1i−i−ii11-111-1-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii1-1-11i−i−ii1-1-11−iii−iii−i−i−i−iii−i−iiiii−i−i11-1-1-1-1111-1-111-1-11−iii−i
χ2611-1-1-1-1111-1111-1-1-1-1-11111-1-1-1-1111-111-1-11-1i−i−ii11-111-1-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii1-1-11i−i−ii-111-1i−i−iiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-11-1-11-111-1i−i−ii
χ2711-1-1-1-1111-1111-1-1-1-1-11111-1-1-1-1111-111-1-11-1i−i−ii11-111-1-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii-111-1−iii−i1-1-11−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-111-11-1-11i−i−ii
χ2811-1-1-1-1111-1111-1-1-1-1-11111-1-1-1-1111-111-1-11-1i−i−ii11-111-1-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii-111-1−iii−i-111-1i−i−ii−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-111-1-111-1−iii−i
χ2911-1-1-1-1111-1111-1-1-1-1-11111-1-1-1-1111-111-1-11-1−iii−i11-111-1-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i1-1-11−iii−i1-1-11i−i−ii−i−iiiii−i−iii−i−i−i−iii11-1-1-1-1111-1-111-1-11i−i−ii
χ3011-1-1-1-1111-1111-1-1-1-1-11111-1-1-1-1111-111-1-11-1−iii−i11-111-1-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i1-1-11−iii−i-111-1−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-11-1-11-111-1−iii−i
χ3111-1-1-1-1111-1111-1-1-1-1-11111-1-1-1-1111-111-1-11-1−iii−i11-111-1-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i-111-1i−i−ii1-1-11i−i−iiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-111-11-1-11−iii−i
χ3211-1-1-1-1111-1111-1-1-1-1-11111-1-1-1-1111-111-1-11-1−iii−i11-111-1-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i-111-1i−i−ii-111-1−iii−iii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-111-1-111-1i−i−ii
χ3322222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-122222-1-1-1-1-1-12-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-10000000000000000-1-1-1-100000000
χ3422222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-122222-1-1-1-1-1-12-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000111111110000000000000000111100000000
χ3522222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-1-2-2-2-22-1-1-1-1-1-12-1-1-1-1-21-21-21-21111111112222-2-2-2-200000000111111110000000000000000-1-1-1-100000000
χ3622222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-1-2-2-2-22-1-1-1-1-1-12-1-1-1-1-21-21-21-2111111111-2-2-2-2222200000000-1-1-1-1-1-1-1-10000000000000000111100000000
χ372222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-122222-122-1-1-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1000000002222222200000000-1-1-1-1-1-1-1-1000000000000-1-1-1-10000
χ382222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-122222-122-1-1-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2000000001111111100000000000011110000
χ392222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-12-2-2-2-2-122-1-1-1-1-1-1-1-1-11-21-21-21-211111111000000002222-2-2-2-20000000011111111000000000000-1-1-1-10000
χ402222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-12-2-2-2-2-122-1-1-1-1-1-1-1-1-11-21-21-21-21111111100000000-2-2-2-2222200000000-1-1-1-1-1-1-1-100000000000011110000
χ4122222222-2-222-2-2222222222222222-2-2-2222-20000-2-2-22222-2-2-2-2-20000000000000000000000000000000000000000000000002-22-22-22-2000000000000
χ4222222222-2-222-2-2222222222222222-2-2-2222-20000-2-2-22222-2-2-2-2-2000000000000000000000000000000000000000000000000-22-22-22-22000000000000
χ432222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-222-2-20000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ442222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-222-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ452222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-112i2i−2i−2i2-1-11111211-1-12i−i2i−i−2ii−2ii−i−i−i−iiiii22-2-22i2i−2i−2i00000000−i−i−i−iiiii0000000000000000-1-11100000000
χ462222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-112i2i−2i−2i2-1-11111211-1-12i−i2i−i−2ii−2ii−i−i−i−iiiii-2-222−2i−2i2i2i00000000iiii−i−i−i−i000000000000000011-1-100000000
χ472222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-11−2i−2i2i2i2-1-11111211-1-1−2ii−2ii2i−i2i−iiiii−i−i−i−i22-2-2−2i−2i2i2i00000000iiii−i−i−i−i0000000000000000-1-11100000000
χ482222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-11−2i−2i2i2i2-1-11111211-1-1−2ii−2ii2i−i2i−iiiii−i−i−i−i-2-2222i2i−2i−2i00000000−i−i−i−iiiii000000000000000011-1-100000000
χ492222-2-2-2-2-2-2-1222-1-122-12-2-211-2-211-111-2-1-1-1-22i2i−2i−2i-1221111-111-1-1−i2i−i2ii−2ii−2i−i−i−i−iiiii000000002i2i−2i−2i22-2-200000000-1-1-1-11111000000000000−i−iii0000
χ502222-2-2-2-2-2-2-1222-1-122-12-2-211-2-211-111-2-1-1-1-22i2i−2i−2i-1221111-111-1-1−i2i−i2ii−2ii−2i−i−i−i−iiiii00000000−2i−2i2i2i-2-222000000001111-1-1-1-1000000000000ii−i−i0000
χ512222-2-2-2-2-2-2-1222-1-122-12-2-211-2-211-111-2-1-1-1-2−2i−2i2i2i-1221111-111-1-1i−2ii−2i−i2i−i2iiiii−i−i−i−i000000002i2i−2i−2i-2-222000000001111-1-1-1-1000000000000−i−iii0000
χ522222-2-2-2-2-2-2-1222-1-122-12-2-211-2-211-111-2-1-1-1-2−2i−2i2i2i-1221111-111-1-1i−2ii−2i−i2i−i2iiiii−i−i−i−i00000000−2i−2i2i2i22-2-200000000-1-1-1-11111000000000000ii−i−i0000
χ5322-2-222-2-22-222-22-2-2-2-222-2-22222-2-22-222-2-22-20000-2-22-2-2222-22-220000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ5422-2-222-2-22-222-22-2-2-2-222-2-22222-2-22-222-2-22-20000-2-22-2-2222-22-22000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ5522-2-222-2-2-222-12-2-2-2112-11122-1-1-2-2-12-2111-1-12-22-22-1111-1-1-2-11-112-1-212-1-21-1-111-1-1112-22-22-22-200000000-1-111-1-1110000000000000000-11-1100000000
χ5622-2-222-2-2-222-12-2-2-2112-11122-1-1-2-2-12-2111-1-12-22-22-1111-1-1-2-11-112-1-212-1-21-1-111-1-111-22-22-22-220000000011-1-111-1-100000000000000001-11-100000000
χ5722-2-222-2-2-222-12-2-2-2112-11122-1-1-2-2-12-2111-1-1-22-222-1111-1-1-2-11-11-212-1-212-111-1-111-1-12-22-2-22-220000000011-1-111-1-10000000000000000-11-1100000000
χ5822-2-222-2-2-222-12-2-2-2112-11122-1-1-2-2-12-2111-1-1-22-222-1111-1-1-2-11-11-212-1-212-111-1-111-1-1-22-222-22-200000000-1-111-1-11100000000000000001-11-100000000
χ5922-2-222-2-2-22-122-211-2-2-12-2-2-1-12211-1-11-211-122-22-2-12-211-1-11-11-11-121-2-121-2-1-111-1-111000000002i−2i2i−2i2i−2i2i−2i00000000−i−iii−i−iii000000000000−ii−ii0000
χ6022-2-222-2-2-22-122-211-2-2-12-2-2-1-12211-1-11-211-122-22-2-12-211-1-11-11-11-121-2-121-2-1-111-1-11100000000−2i2i−2i2i−2i2i−2i2i00000000ii−i−iii−i−i000000000000i−ii−i0000
χ6122-2-222-2-2-22-122-211-2-2-12-2-2-1-12211-1-11-211-12-22-22-12-211-1-11-11-111-2-121-2-1211-1-111-1-1000000002i−2i2i−2i−2i2i−2i2i00000000ii−i−iii−i−i000000000000−ii−ii0000
χ6222-2-222-2-2-22-122-211-2-2-12-2-2-1-12211-1-11-211-12-22-22-12-211-1-11-11-111-2-121-2-1211-1-111-1-100000000−2i2i−2i2i2i−2i2i−2i00000000−i−iii−i−iii000000000000i−ii−i0000
χ6322-2-2-2-2222-22-12-2-2-2112-1-1-1-2-21122-1-22-111-112i−2i−2i2i2-11-1-111-21-1-112i−i−2ii−2ii2i−i−i−iiiii−i−i2-2-222i−2i−2i2i00000000−i−iiiii−i−i0000000000000000-111-100000000
χ6422-2-2-2-2222-22-12-2-2-2112-1-1-1-2-21122-1-22-111-112i−2i−2i2i2-11-1-111-21-1-112i−i−2ii−2ii2i−i−i−iiiii−i−i-222-2−2i2i2i−2i00000000ii−i−i−i−iii00000000000000001-1-1100000000
χ6522-2-2-2-2222-22-12-2-2-2112-1-1-1-2-21122-1-22-111-11−2i2i2i−2i2-11-1-111-21-1-11−2ii2i−i2i−i−2iiii−i−i−i−iii2-2-22−2i2i2i−2i00000000ii−i−i−i−iii0000000000000000-111-100000000
χ6622-2-2-2-2222-22-12-2-2-2112-1-1-1-2-21122-1-22-111-11−2i2i2i−2i2-11-1-111-21-1-11−2ii2i−i2i−i−2iiii−i−i−i−iii-222-22i−2i−2i2i00000000−i−iiiii−i−i00000000000000001-1-1100000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.