Finite Group Databasebeta

← Group #11783883

Character table — Group #11783883

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order12224444223344666666121212121212121236666666888812121212121212124444444444444444661212242424242424242424242424242424244444444422444444121212121212121212121212121212124444661212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ7111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111
χ8111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1ii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-111-1-1−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1ii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111-1-111−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1ii−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-1-11111ii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1−i−iii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-11111−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111-1-111ii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-111-1-1ii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1−i−iii
χ1711-1-111-1-11-1111-1-1-11-1-11-1-1-1-1111111-1-1-11-111-11-11-11-1-1-11111-1-111-1-1ii−i−iii−i−i1-11-111-1-111-1-111-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−ii−ii−i1-1i−ii−i1-1i−ii−i
χ1811-1-111-1-11-1111-1-1-11-1-11-1-1-1-1111111-1-1-11-111-11-11-11-1-1-11111-1-111-1-1−i−iii−i−iii1-11-111-1-111-1-111-1-111-1-1−i−iii−i−iii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−ii−ii1-1−ii−ii1-1−ii−ii
χ1911-1-111-1-11-1111-1-1-11-1-11-1-1-1-1111111-1-1-11-111-11-11-11-1-1-111-1-111-1-111ii−i−iii−i−i1-11-111-1-111-1-111-1-111-1-1−i−iii−i−iii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i−ii−ii-11i−ii−i-11−ii−ii
χ2011-1-111-1-11-1111-1-1-11-1-11-1-1-1-1111111-1-1-11-111-11-11-11-1-1-111-1-111-1-111−i−iii−i−iii1-11-111-1-111-1-111-1-111-1-1ii−i−iii−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iiii−ii−i-11−ii−ii-11i−ii−i
χ2111-1-111-1-11-1111-1-1-11-1-11-1-1-1-1111111-1-1-11-11-11-111-11-1-1-11111-1-111-1-1ii−i−iii−i−i1-11-1-1-111-1-111-1-111-1-111ii−i−iii−i−i-11-11−ii−ii11-1-111-1-1ii−i−iii−i−ii−ii−i-11−ii−ii-11−ii−ii
χ2211-1-111-1-11-1111-1-1-11-1-11-1-1-1-1111111-1-1-11-11-11-111-11-1-1-11111-1-111-1-1−i−iii−i−iii1-11-1-1-111-1-111-1-111-1-111−i−iii−i−iii-11-11i−ii−i11-1-111-1-1−i−iii−i−iii−ii−ii-11i−ii−i-11i−ii−i
χ2311-1-111-1-11-1111-1-1-11-1-11-1-1-1-1111111-1-1-11-11-11-111-11-1-1-111-1-111-1-111ii−i−iii−i−i1-11-1-1-111-1-111-1-111-1-111−i−iii−i−iii1-11-1−ii−ii-1-111-1-111ii−i−iii−i−i−ii−ii1-1−ii−ii1-1i−ii−i
χ2411-1-111-1-11-1111-1-1-11-1-11-1-1-1-1111111-1-1-11-11-11-111-11-1-1-111-1-111-1-111−i−iii−i−iii1-11-1-1-111-1-111-1-111-1-111ii−i−iii−i−i1-11-1i−ii−i-1-111-1-111−i−iii−i−iiii−ii−i1-1i−ii−i1-1−ii−ii
χ2511-1-1-1-111-11111-1-1-11-1-111111-1-1-1-11-11-1-111-1i−i−ii1-11-111-1-1ii−i−i−i−iii11-1-1-1-111-111-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i1-1-11−iii−iii−i−i−i−iii11-1-1-1-111−iii−i1-1−iii−i-111-1-11
χ2611-1-1-1-111-11111-1-1-11-1-111111-1-1-1-11-11-1-111-1i−i−ii1-11-111-1-1ii−i−i−i−iii-1-11111-1-1-111-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii1-1-11i−i−iiii−i−i−i−iii-1-11111-1-1i−i−ii1-1i−i−ii-11-111-1
χ2711-1-1-1-111-11111-1-1-11-1-111111-1-1-1-11-11-1-111-1i−i−ii1-11-111-1-1−i−iiiii−i−i11-1-1-1-111-111-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-111-1−iii−i−i−iiiii−i−i11-1-1-1-111i−i−ii-11−iii−i1-1-111-1
χ2811-1-1-1-111-11111-1-1-11-1-111111-1-1-1-11-11-1-111-1i−i−ii1-11-111-1-1−i−iiiii−i−i-1-11111-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i-111-1i−i−ii−i−iiiii−i−i-1-11111-1-1−iii−i-11i−i−ii1-11-1-11
χ2911-1-1-1-111-11111-1-1-11-1-111111-1-1-1-11-11-1-111-1−iii−i1-11-111-1-1ii−i−i−i−iii11-1-1-1-111-111-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-111-1i−i−iiii−i−i−i−iii11-1-1-1-111−iii−i-11i−i−ii1-1-111-1
χ3011-1-1-1-111-11111-1-1-11-1-111111-1-1-1-11-11-1-111-1−iii−i1-11-111-1-1ii−i−i−i−iii-1-11111-1-1-111-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii-111-1−iii−iii−i−i−i−iii-1-11111-1-1i−i−ii-11−iii−i1-11-1-11
χ3111-1-1-1-111-11111-1-1-11-1-111111-1-1-1-11-11-1-111-1−iii−i1-11-111-1-1−i−iiiii−i−i11-1-1-1-111-111-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii1-1-11i−i−ii−i−iiiii−i−i11-1-1-1-111i−i−ii1-1i−i−ii-111-1-11
χ3211-1-1-1-111-11111-1-1-11-1-111111-1-1-1-11-11-1-111-1−iii−i1-11-111-1-1−i−iiiii−i−i-1-11111-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i1-1-11−iii−i−i−iiiii−i−i-1-11111-1-1−iii−i1-1−iii−i-11-111-1
χ3322222222222-122-1-1222-122-1-122-1-1-12-1-1-1-12-1222222-1-1-1-1-1-12222222200000000-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-1000000000000-1-10000-1-10000
χ3422222222222-122-1-1222-122-1-122-1-1-12-1-1-1-12-1222222-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-100000000-2-2-2-2000011111111000000000000110000110000
χ3522222222222-122-1-1222-122-1-122-1-1-12-1-1-1-12-1-2-2-2-222-1-1-1-1-1-12222222200000000-1-1-1-1-21-21-21-211111111100000000-2-2-2-20000-1-1-1-1-1-1-1-1000000000000110000110000
χ3622222222222-122-1-1222-122-1-122-1-1-12-1-1-1-12-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-21-21-21-2111111111000000002222000011111111000000000000-1-10000-1-10000
χ372222222222-122222-1-1-12-1-122-1-122-1-12-1-1-1-122222-1-122-1-1-1-10000000022222222-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1000000000000222200000000-1-1-1-1-1-1-1-1000000-1-1-1-1000000
χ382222222222-122222-1-1-12-1-122-1-122-1-12-1-1-1-122222-1-122-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1000000000000-2-2-2-200000000111111110000001111000000
χ392222222222-122222-1-1-12-1-122-1-122-1-12-1-1-1-12-2-2-2-2-1-122-1-1-1-10000000022222222-1-1-1-11-21-21-21-211111111000000000000-2-2-2-200000000-1-1-1-1-1-1-1-10000001111000000
χ402222222222-122222-1-1-12-1-122-1-122-1-12-1-1-1-12-2-2-2-2-1-122-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-11-21-21-21-21111111100000000000022220000000011111111000000-1-1-1-1000000
χ4122222222-2-222-2-2222222222222222-2-2222-2-20000-2-2-2-222220000000000000000-2-2-2-2000000000000000022222222000000000000000000000000-2-2-2-2000000000000
χ4222222222-2-222-2-2222222222222222-2-2222-2-20000-2-2-2-222220000000000000000-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000000000002222000000000000
χ432222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2000000000000000022-2-200000000000000002222-2-2-2-2000000000000000000000000-2-222000000000000
χ442222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2000000000000000022-2-20000000000000000-2-2-2-2222200000000000000000000000022-2-2000000000000
χ452222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-1-21-1-1-1-212i2i−2i−2i22-1-111112i2i2i2i−2i−2i−2i−2i0000000011-1-12i−i2i−i−2ii−2ii−i−i−i−iiiii0000000022-2-20000−i−i−i−iiiii000000000000-1-10000110000
χ462222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-1-21-1-1-1-212i2i−2i−2i22-1-11111−2i−2i−2i−2i2i2i2i2i0000000011-1-12i−i2i−i−2ii−2ii−i−i−i−iiiii00000000-2-2220000iiii−i−i−i−i000000000000110000-1-10000
χ472222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-1-21-1-1-1-21−2i−2i2i2i22-1-111112i2i2i2i−2i−2i−2i−2i0000000011-1-1−2ii−2ii2i−i2i−iiiii−i−i−i−i00000000-2-2220000−i−i−i−iiiii000000000000110000-1-10000
χ482222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-1-21-1-1-1-21−2i−2i2i2i22-1-11111−2i−2i−2i−2i2i2i2i2i0000000011-1-1−2ii−2ii2i−i2i−iiiii−i−i−i−i0000000022-2-20000iiii−i−i−i−i000000000000-1-10000110000
χ492222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-11-2-1-1-11-22i2i−2i−2i-1-1221111000000002i2i2i2i−2i−2i−2i−2i11-1-1−i2i−i2ii−2ii−2i−i−i−i−iiiii00000000000022-2-200000000−i−i−i−iiiii000000-1-111000000
χ502222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-11-2-1-1-11-22i2i−2i−2i-1-122111100000000−2i−2i−2i−2i2i2i2i2i11-1-1−i2i−i2ii−2ii−2i−i−i−i−iiiii000000000000-2-22200000000iiii−i−i−i−i00000011-1-1000000
χ512222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-11-2-1-1-11-2−2i−2i2i2i-1-1221111000000002i2i2i2i−2i−2i−2i−2i11-1-1i−2ii−2i−i2i−i2iiiii−i−i−i−i000000000000-2-22200000000−i−i−i−iiiii00000011-1-1000000
χ522222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-11-2-1-1-11-2−2i−2i2i2i-1-122111100000000−2i−2i−2i−2i2i2i2i2i11-1-1i−2ii−2i−i2i−i2iiiii−i−i−i−i00000000000022-2-200000000iiii−i−i−i−i000000-1-111000000
χ5322-2-222-2-22-22-12-2112-2-2-1-2-21122-1-1-12111-1-2-12-22-22-2-1111-1-122-2-222-2-200000000-11-112-1-212-1-21-1-111-1-111000000002-22-20000-1-111-1-111000000000000-110000-110000
χ5422-2-222-2-22-22-12-2112-2-2-1-2-21122-1-1-12111-1-2-12-22-22-2-1111-1-1-2-222-2-22200000000-11-112-1-212-1-21-1-111-1-11100000000-22-22000011-1-111-1-10000000000001-100001-10000
χ5522-2-222-2-22-22-12-2112-2-2-1-2-21122-1-1-12111-1-2-1-22-222-2-1111-1-122-2-222-2-200000000-11-11-212-1-212-111-1-111-1-100000000-22-220000-1-111-1-1110000000000001-100001-10000
χ5622-2-222-2-22-22-12-2112-2-2-1-2-21122-1-1-12111-1-2-1-22-222-2-1111-1-1-2-222-2-22200000000-11-11-212-1-212-111-1-111-1-1000000002-22-2000011-1-111-1-1000000000000-110000-110000
χ5722-2-222-2-22-2-122-2-2-2-111211-2-2-1-122-1-1-211-1122-22-2-112-211-1-1000000002i2i−2i−2i2i2i−2i−2i-11-11-121-2-121-2-1-111-1-1110000000000002i−2i2i−2i00000000−i−iii−i−iii000000−ii−ii000000
χ5822-2-222-2-22-2-122-2-2-2-111211-2-2-1-122-1-1-211-1122-22-2-112-211-1-100000000−2i−2i2i2i−2i−2i2i2i-11-11-121-2-121-2-1-111-1-111000000000000−2i2i−2i2i00000000ii−i−iii−i−i000000i−ii−i000000
χ5922-2-222-2-22-2-122-2-2-2-111211-2-2-1-122-1-1-211-112-22-22-112-211-1-1000000002i2i−2i−2i2i2i−2i−2i-11-111-2-121-2-1211-1-111-1-1000000000000−2i2i−2i2i00000000−i−iii−i−iii000000i−ii−i000000
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χ1264-4-44−4i4i4i−4i004-2002-2-4-4424i−4i−2i2i−4i4i2i−2i-2002-220000000000−2i2i2i−2i−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i000000000000000000000000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000000000000000
χ1274-4-44−4i4i4i−4i00-2400-4422-2-4−2i2i4i−4i2i−2i−4i4i-2002-220000000000−2i2i2i−2i000000002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i00000000000000000000000000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000000000000
χ1284-4-44−4i4i4i−4i00-2400-4422-2-4−2i2i4i−4i2i−2i−4i4i-2002-220000000000−2i2i2i−2i00000000−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i000000000000000000000000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000000000000
χ1298-88-88i−8i8i−8i00-4-400-444-444−4i4i−4i4i−4i4i−4i4i2002-2-200000000002i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-88-8−8i8i−8i8i00-4-400-444-4444i−4i4i−4i4i−4i4i−4i2002-2-20000000000−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-888i−8i−8i8i00-4-4004-444-444i−4i4i−4i−4i4i−4i4i200-22-20000000000−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88−8i8i8i−8i00-4-4004-444-44−4i4i−4i4i4i−4i4i−4i200-22-200000000002i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).