Finite Group Databasebeta

← Group #11784102

Character table — Group #11784102

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order12224444223344666666121212121212121236666666888812121212121212124444444488888888661212242424242424242424242424242424248888888822448888121212121212121224242424242424248888661212242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
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
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i111-1-1-1-11iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1ii−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−i111-1-1-1-11iiii−i−i−i−i-1-1-1-11111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1−i−iiiiiii−i−i−i−i-1-1-1-11111−i−iii11-1-1−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−i−i−i−iiiii1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i−i−i−i−iiiii1111-1-1-1-1−i−iii-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−i−i−i−iiiii-1-1-1-11111-1-111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−i−i−iiiii-1-1-1-11111ii−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−iii111-1-1-1-11iiii−i−i−i−i1111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iiiiiii−i−i−i−i1111-1-1-1-1ii−i−i-1-111−i−iii-1-111
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii111-1-1-1-11iiii−i−i−i−i-1-1-1-11111-1-111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111−i−iii-1-111ii−i−i11-1-1
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−i−i−i−iiiii1111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii11-1-1
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−i−i−i−iiiii-1-1-1-11111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1ii−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-1ii−i−i-1-111
χ1711-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-1111-11-111-1-1-111-111-1-111-1-1ii−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−i1-11-1i−ii−ii−ii−i
χ1811-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-1111-11-111-1-1-111-111-1-111-1-1−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−ii1-11-1−ii−ii−ii−ii
χ1911-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-1111-11-111-1-1-111-1-1-111-1-111ii−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-11-11i−ii−i−ii−ii
χ2011-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-1111-11-111-1-1-111-1-1-111-1-111−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-11-11−ii−iii−ii−i
χ2111-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-111-11-1111-1-1-111-111-1-111-1-1ii−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-11-11−ii−ii−ii−ii
χ2211-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-111-11-1111-1-1-111-111-1-111-1-1−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-11-11i−ii−ii−ii−i
χ2311-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-111-11-1111-1-1-111-1-1-111-1-111ii−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−ii1-11-1−ii−iii−ii−i
χ2411-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1-1-111-11-1111-1-1-111-1-1-111-1-111−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−i1-11-1i−ii−i−ii−ii
χ2511-1-1-1-1111-1111-1-1-1-1-11111-1-1-1-1111-111-1-11-1i−i−ii11-111-1-1-1ii−i−i−i−iiiii−i−i−i−iii-111-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-11-1-11-111-1ii−i−i−i−iiiii−i−i−i−iii-111-11-1-11-111-1i−i−ii
χ2611-1-1-1-1111-1111-1-1-1-1-11111-1-1-1-1111-111-1-11-1i−i−ii11-111-1-1-1ii−i−i−i−iii−i−iiiii−i−i-111-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-1111-1-111-1-11ii−i−i−i−iii−i−iiiii−i−i1-1-111-1-111-1-11−iii−i
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−i−iiiii−i−iii−i−i−i−iii-111-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111-111-1-111-1−i−iiiii−i−iii−i−i−i−iii1-1-11-111-1-111-1−iii−i
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−i−iiiii−i−i−i−iiiii−i−i-111-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-111-11-1-11−i−iiiii−i−i−i−iiiii−i−i-111-1-111-11-1-11i−i−ii
χ2911-1-1-1-1111-1111-1-1-1-1-11111-1-1-1-1111-111-1-11-1−iii−i11-111-1-1-1ii−i−i−i−iiiii−i−i−i−iii-111-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-111-11-1-11ii−i−i−i−iiiii−i−i−i−iii-111-1-111-11-1-11−iii−i
χ3011-1-1-1-1111-1111-1-1-1-1-11111-1-1-1-1111-111-1-11-1−iii−i11-111-1-1-1ii−i−i−i−iii−i−iiiii−i−i-111-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111-111-1-111-1ii−i−i−i−iii−i−iiiii−i−i1-1-11-111-1-111-1i−i−ii
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−i−iiiii−i−iii−i−i−i−iii-111-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-1111-1-111-1-11−i−iiiii−i−iii−i−i−i−iii1-1-111-1-111-1-11i−i−ii
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−i−iiiii−i−i−i−iiiii−i−i-111-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-11-1-11-111-1−i−iiiii−i−i−i−iiiii−i−i-111-11-1-11-111-1−iii−i
χ3322222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-122222-1-1-1-1-1-122222222200000000-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ3422222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-122222-1-1-1-1-1-12-2-2-2-2-2-2-2-200000000-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-100000000-2-2-2-2000011111111000000000000111100000000
χ3522222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-1-2-2-2-22-1-1-1-1-1-122222222200000000-1-1-1-1-21-21-21-211111111100000000-2-2-2-20000-1-1-1-1-1-1-1-1000000000000111100000000
χ3622222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-1-2-2-2-22-1-1-1-1-1-12-2-2-2-2-2-2-2-200000000-1-1-1-1-21-21-21-2111111111000000002222000011111111000000000000-1-1-1-100000000
χ372222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-122222-122-1-1-1-1-10000000022222222-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1000000000000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ382222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-122222-122-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1000000000000-2-2-2-200000000111111110000000011110000
χ392222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-12-2-2-2-2-122-1-1-1-1-10000000022222222-1-1-1-11-21-21-21-211111111000000000000-2-2-2-200000000-1-1-1-1-1-1-1-10000000011110000
χ402222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-12-2-2-2-2-122-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-11-21-21-21-2111111110000000000002222000000001111111100000000-1-1-1-10000
χ4122222222-2-222-2-2222222222222222-2-2-2222-20000-2-2-22222-20000000000000000-2-2-2-2000000000000000022222222000000000000000000000000-2-2-2-2000000000000
χ4222222222-2-222-2-2222222222222222-2-2-2222-20000-2-2-22222-20000000000000000-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000000000002222000000000000
χ432222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2000000000000000022-2-200000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i2i2i000000000000
χ442222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2000000000000000022-2-20000000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i−2i−2i000000000000
χ452222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-112i2i−2i−2i2-1-1111122i2i2i2i−2i−2i−2i−2i0000000011-1-12i−i2i−i−2ii−2ii−i−i−i−iiiii0000000022-2-20000−i−i−i−iiiii000000000000-1-11100000000
χ462222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-112i2i−2i−2i2-1-111112−2i−2i−2i−2i2i2i2i2i0000000011-1-12i−i2i−i−2ii−2ii−i−i−i−iiiii00000000-2-2220000iiii−i−i−i−i00000000000011-1-100000000
χ472222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-11−2i−2i2i2i2-1-1111122i2i2i2i−2i−2i−2i−2i0000000011-1-1−2ii−2ii2i−i2i−iiiii−i−i−i−i00000000-2-2220000−i−i−i−iiiii00000000000011-1-100000000
χ482222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-11−2i−2i2i2i2-1-111112−2i−2i−2i−2i2i2i2i2i0000000011-1-1−2ii−2ii2i−i2i−iiiii−i−i−i−i0000000022-2-20000iiii−i−i−i−i000000000000-1-11100000000
χ492222-2-2-2-2-2-2-1222-1-122-12-2-211-2-211-111-2-1-1-1-22i2i−2i−2i-1221111-1000000002222-2-2-2-211-1-1−i2i−i2ii−2ii−2i−i−i−i−iiiii0000000000002i2i−2i−2i00000000-1-1-1-1111100000000−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-1221111-100000000-2-2-2-2222211-1-1−i2i−i2ii−2ii−2i−i−i−i−iiiii000000000000−2i−2i2i2i000000001111-1-1-1-100000000ii−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-1221111-1000000002222-2-2-2-211-1-1i−2ii−2i−i2i−i2iiiii−i−i−i−i000000000000−2i−2i2i2i00000000-1-1-1-1111100000000ii−i−i0000
χ522222-2-2-2-2-2-2-1222-1-122-12-2-211-2-211-111-2-1-1-1-2−2i−2i2i2i-1221111-100000000-2-2-2-2222211-1-1i−2ii−2i−i2i−i2iiiii−i−i−i−i0000000000002i2i−2i−2i000000001111-1-1-1-100000000−i−iii0000
χ5322-2-222-2-22-222-22-2-2-2-222-2-22222-2-22-222-2-22-20000-2-22-2-22220000000000000000-22-2200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i000000000000
χ5422-2-222-2-22-222-22-2-2-2-222-2-22222-2-22-222-2-22-20000-2-22-2-22220000000000000000-22-220000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i000000000000
χ5522-2-222-2-2-222-12-2-2-2112-11122-1-1-2-2-12-2111-1-12-22-22-1111-1-1-222-2-222-2-200000000-11-112-1-212-1-21-1-111-1-111000000002-22-20000-1-111-1-111000000000000-11-1100000000
χ5622-2-222-2-2-222-12-2-2-2112-11122-1-1-2-2-12-2111-1-12-22-22-1111-1-1-2-2-222-2-22200000000-11-112-1-212-1-21-1-111-1-11100000000-22-22000011-1-111-1-10000000000001-11-100000000
χ5722-2-222-2-2-222-12-2-2-2112-11122-1-1-2-2-12-2111-1-1-22-222-1111-1-1-222-2-222-2-200000000-11-11-212-1-212-111-1-111-1-100000000-22-220000-1-111-1-1110000000000001-11-100000000
χ5822-2-222-2-2-222-12-2-2-2112-11122-1-1-2-2-12-2111-1-1-22-222-1111-1-1-2-2-222-2-22200000000-11-11-212-1-212-111-1-111-1-1000000002-22-2000011-1-111-1-1000000000000-11-1100000000
χ5922-2-222-2-2-22-122-211-2-2-12-2-2-1-12211-1-11-211-122-22-2-12-211-1-11000000002i2i−2i−2i2i2i−2i−2i-11-11-121-2-121-2-1-111-1-1110000000000002i−2i2i−2i00000000−i−iii−i−iii00000000−ii−ii0000
χ6022-2-222-2-2-22-122-211-2-2-12-2-2-1-12211-1-11-211-122-22-2-12-211-1-1100000000−2i−2i2i2i−2i−2i2i2i-11-11-121-2-121-2-1-111-1-111000000000000−2i2i−2i2i00000000ii−i−iii−i−i00000000i−ii−i0000
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χ1318-8-888i−8i−8i8i00-4-4004-44-4444i−4i−4i4i−4i4i4i−4i2000-22-200000000−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88−8i8i8i−8i00-4-4004-44-444−4i4i4i−4i4i−4i−4i4i2000-22-2000000002i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.