Finite Group Databasebeta

← Group #11784096

Character table — Group #11784096

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order12224444223344666666121212121212121222344666666612121212121212124444444488888888666666666612121212121212121212888888884444888812121212121212122424242424242424888812121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111-1-11-1-11111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-11-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-11iiii−i−i−i−i1111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−iii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-11iiii−i−i−i−i-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1−i−i−i−iiiii-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111−i−iii-1-111ii−i−i−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-11−i−i−i−iiiii1111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-11−i−i−i−iiiii-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1iiii−i−i−i−i-1-111−i−iii−i−i−i−iiiii-1-1-1-11111ii−i−i-1-111−i−iiiii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1111-1-1-1-11iiii−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111iiii−i−i−i−i-1-111−i−iiiiiii−i−i−i−i1111-1-1-1-1ii−i−i-1-111−i−iii−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1111-1-1-1-11iiii−i−i−i−i-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−iiiii11-1-1−i−iiiiiii−i−i−i−i-1-1-1-11111−i−iii11-1-1−i−iiiii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1111-1-1-1-11−i−i−i−iiiii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−iiiii-1-111ii−i−i−i−i−i−iiiii1111-1-1-1-1−i−iii-1-111ii−i−iii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1111-1-1-1-11−i−i−i−iiiii-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111iiii−i−i−i−i11-1-1ii−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-1ii−i−i−i−iii
χ1711-1-111-1-1-11111-1-1-111-1-111-1-1-1-1111-111-11-1-1-1-11111-111-1-1-111-1-111-1-1ii−i−iii−i−i11-1-11-111-1-111-1-11-111-1-1ii−i−iii−i−ii−ii−i1-11-111-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−i1-11-1i−ii−i
χ1811-1-111-1-1-11111-1-1-111-1-111-1-1-1-1111-111-11-1-1-1-11111-111-1-1-111-1-111-1-1−i−iii−i−iii11-1-11-111-1-111-1-11-111-1-1−i−iii−i−iii−ii−ii1-11-111-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii1-11-1−ii−ii
χ1911-1-111-1-1-11111-1-1-111-1-111-1-1-1-1111-111-11-1-1-1-11111-111-1-1-1-1-111-1-111ii−i−iii−i−i11-1-11-111-1-111-1-11-111-1-1−i−iii−i−iiii−ii−i-11-11-1-111-1-111ii−i−iii−i−i−ii−iii−ii−i-11-11−ii−ii
χ2011-1-111-1-1-11111-1-1-111-1-111-1-1-1-1111-111-11-1-1-1-11111-111-1-1-1-1-111-1-111−i−iii−i−iii11-1-11-111-1-111-1-11-111-1-1ii−i−iii−i−i−ii−ii-11-11-1-111-1-111−i−iii−i−iiii−ii−i−ii−ii-11-11i−ii−i
χ2111-1-111-1-1-11111-1-1-111-1-111-1-1-1-111-111-111-1-1-1-11111-111-1-1-111-1-111-1-1ii−i−iii−i−i-1-1111-1-1-111-1-1111-1-1-111ii−i−iii−i−i−ii−ii-11-1111-1-111-1-1ii−i−iii−i−ii−ii−i−ii−ii-11-11−ii−ii
χ2211-1-111-1-1-11111-1-1-111-1-111-1-1-1-111-111-111-1-1-1-11111-111-1-1-111-1-111-1-1−i−iii−i−iii-1-1111-1-1-111-1-1111-1-1-111−i−iii−i−iiii−ii−i-11-1111-1-111-1-1−i−iii−i−iii−ii−iii−ii−i-11-11i−ii−i
χ2311-1-111-1-1-11111-1-1-111-1-111-1-1-1-111-111-111-1-1-1-11111-111-1-1-1-1-111-1-111ii−i−iii−i−i-1-1111-1-1-111-1-1111-1-1-111−i−iii−i−iii−ii−ii1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii−ii−ii1-11-1i−ii−i
χ2411-1-111-1-1-11111-1-1-111-1-111-1-1-1-111-111-111-1-1-1-11111-111-1-1-1-1-111-1-111−i−iii−i−iii-1-1111-1-1-111-1-1111-1-1-111ii−i−iii−i−ii−ii−i1-11-1-1-111-1-111−i−iii−i−iiii−ii−ii−ii−i1-11-1−ii−ii
χ2511-1-1-1-1111-1111-1-1-111-1-1-1-11111-1-11-11-11-111-1-11-111-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1111-1-1-1-1111-1-1-111-1-11111-1-1i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-111-1i−i−iii−i−ii-111-1
χ2611-1-1-1-1111-1111-1-1-111-1-1-1-11111-1-11-11-11-111-1-11-111-1-1-111-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1111-1-1-1-1111-1-1-11111-1-1-1-111−iii−ii−i−iiii−i−i−i−iii−i−iiiii−i−i1-1-11−iii−ii−i−ii1-1-11
χ2711-1-1-1-1111-1111-1-1-111-1-1-1-11111-1-11-11-11-111-1-11-111-1-1-111-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1111-1-1-1-1111-1-1-11111-1-1-1-111i−i−ii−iii−i−i−iiiii−i−iii−i−i−i−iii1-1-11i−i−ii−iii−i1-1-11
χ2811-1-1-1-1111-1111-1-1-111-1-1-1-11111-1-11-11-11-111-1-11-111-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1111-1-1-1-1111-1-1-111-1-11111-1-1−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-111-1−iii−i−iii−i-111-1
χ2911-1-1-1-1111-1111-1-1-111-1-1-1-11111-1-1-1111-1-111-1-11-111-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii-1-111-11-1-11111-1-11-111-1-1-1-11111-1-1−iii−i−iii−iii−i−i−i−iiiii−i−i−i−iii-111-1−iii−i−iii−i1-1-11
χ3011-1-1-1-1111-1111-1-1-111-1-1-1-11111-1-1-1111-1-111-1-11-111-1-1-111-1ii−i−i−i−iii−i−iiiii−i−i-1-111-11-1-11111-1-11-111-1-111-1-1-1-111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i1-1-11i−i−ii−iii−i-111-1
χ3111-1-1-1-1111-1111-1-1-111-1-1-1-11111-1-1-1111-1-111-1-11-111-1-1-111-1−i−iiiii−i−iii−i−i−i−iii-1-111-11-1-11111-1-11-111-1-111-1-1-1-111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii1-1-11−iii−ii−i−ii-111-1
χ3211-1-1-1-1111-1111-1-1-111-1-1-1-11111-1-1-1111-1-111-1-11-111-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i-1-111-11-1-11111-1-11-111-1-1-1-11111-1-1i−i−iii−i−ii−i−iiiii−i−i−i−iiiii−i−i-111-1i−i−iii−i−ii1-1-11
χ3322222222222-122222-1-1-1-1-122-1-12222-122-12-1-1-1-122-12-1-1-1-1-100000000222222222-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1000000002222000000000000-1-1-1-1-1-1-1-10000-1-1-1-100000000
χ3422222222222-122222-1-1-1-1-122-1-12222-122-12-1-1-1-122-12-1-1-1-1-100000000-2-2-2-2-2-2-2-22-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1-100000000-2-2-2-2000000000000111111110000111100000000
χ3522222222222-122222-1-1-1-1-122-1-122-2-2-1-2-2-12-1-1-1-122-12-1-1-1-1-10000000022222222-21-21-1-11111-21-21-1-1111100000000-2-2-2-2000000000000-1-1-1-1-1-1-1-10000111100000000
χ3622222222222-122222-1-1-1-1-122-1-122-2-2-1-2-2-12-1-1-1-122-12-1-1-1-1-100000000-2-2-2-2-2-2-2-2-21-21-1-11111-21-21-1-11111000000002222000000000000111111110000-1-1-1-100000000
χ372222222222-1222-1-1-122222-1-122-1-122-1222-12-1-1-1-1-12-1-1-1-1-122222222200000000-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-10000000000002222-1-1-1-1-1-1-1-10000000000000000-1-1-1-10000
χ382222222222-1222-1-1-122222-1-122-1-122-1222-12-1-1-1-1-12-1-1-1-1-12-2-2-2-2-2-2-2-200000000-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1000000000000-2-2-2-211111111000000000000000011110000
χ392222222222-1222-1-1-122222-1-122-1-1-2-2-1-2-22-12-1-1-1-1-12-1-1-1-1-1222222222000000001-21-2-1-111111-21-2-1-11111000000000000-2-2-2-2-1-1-1-1-1-1-1-1000000000000000011110000
χ402222222222-1222-1-1-122222-1-122-1-1-2-2-1-2-22-12-1-1-1-1-12-1-1-1-1-12-2-2-2-2-2-2-2-2000000001-21-2-1-111111-21-2-1-111110000000000002222111111110000000000000000-1-1-1-10000
χ4122222222-2-222-2-22222222222222200200-2-2-2222-2-2-2-22222-200000000000000000000-2-200000000-2-2000022222222000000000000000000000000-2-2-2-2000000000000
χ4222222222-2-222-2-22222222222222200200-2-2-2222-2-2-2-22222-200000000000000000000-2-200000000-2-20000-2-2-2-2-2-2-2-20000000000000000000000002222000000000000
χ432222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2002002222222-2-2-2-2-2-2-2-2000000000000000000002200000000-2-200002i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i2i2i000000000000
χ442222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2002002222222-2-2-2-2-2-2-2-2000000000000000000002200000000-2-20000−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i−2i−2i000000000000
χ452222-2-2-2-2-2-22-122222-1-1-111-2-211-2-222-1-2-21-21-1-1-1-22-121111-1000000002222-2-2-2-22-12-111-1-1-1-1-21-21-1-111110000000022-2-2000000000000-1-1-1-111110000-1-11100000000
χ462222-2-2-2-2-2-22-122222-1-1-111-2-211-2-222-1-2-21-21-1-1-1-22-121111-100000000-2-2-2-222222-12-111-1-1-1-1-21-21-1-1111100000000-2-2220000000000001111-1-1-1-1000011-1-100000000
χ472222-2-2-2-2-2-22-122222-1-1-111-2-211-2-2-2-2-1221-21-1-1-1-22-121111-1000000002222-2-2-2-2-21-211111112-12-1-1-1-1-1-1-100000000-2-222000000000000-1-1-1-11111000011-1-100000000
χ482222-2-2-2-2-2-22-122222-1-1-111-2-211-2-2-2-2-1221-21-1-1-1-22-121111-100000000-2-2-2-22222-21-211111112-12-1-1-1-1-1-1-10000000022-2-20000000000001111-1-1-1-10000-1-11100000000
χ492222-2-2-2-2-2-2-1222-1-1-1222-2-211-2-21122-1-2-2-21-2-1-1-11-12-1111122i2i2i2i−2i−2i−2i−2i00000000-12-1211-1-1-1-11-21-2-1-111110000000000002i2i−2i−2i−i−i−i−iiiii0000000000000000−i−iii0000
χ502222-2-2-2-2-2-2-1222-1-1-1222-2-211-2-21122-1-2-2-21-2-1-1-11-12-111112−2i−2i−2i−2i2i2i2i2i00000000-12-1211-1-1-1-11-21-2-1-11111000000000000−2i−2i2i2iiiii−i−i−i−i0000000000000000ii−i−i0000
χ512222-2-2-2-2-2-2-1222-1-1-1222-2-211-2-211-2-2-122-21-2-1-1-11-12-1111122i2i2i2i−2i−2i−2i−2i000000001-21-2111111-12-12-1-1-1-1-1-1000000000000−2i−2i2i2i−i−i−i−iiiii0000000000000000ii−i−i0000
χ522222-2-2-2-2-2-2-1222-1-1-1222-2-211-2-211-2-2-122-21-2-1-1-11-12-111112−2i−2i−2i−2i2i2i2i2i000000001-21-2111111-12-12-1-1-1-1-1-10000000000002i2i−2i−2iiiii−i−i−i−i0000000000000000−i−iii0000
χ5322-2-222-2-22-222-22-2-222-2-222-2-2-2-22200200-222-2-22-2-2-2222-2-2200000000000000000000-2200000000-2200002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i000000000000
χ5422-2-222-2-22-222-22-2-222-2-222-2-2-2-22200200-222-2-22-2-2-2222-2-2200000000000000000000-2200000000-220000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i000000000000
χ5522-2-222-2-2-222-12-2-2-22-111-1-1-2-211222-2-12-2-1-2111-122-1-2-1-1111000000002i2i−2i−2i2i2i−2i−2i2-1-21-11-1-1112-1-21-11-1-111000000002i−2i2i−2i000000000000−i−iii−i−iii0000−ii−ii00000000
χ5622-2-222-2-2-222-12-2-2-22-111-1-1-2-211222-2-12-2-1-2111-122-1-2-1-111100000000−2i−2i2i2i−2i−2i2i2i2-1-21-11-1-1112-1-21-11-1-11100000000−2i2i−2i2i000000000000ii−i−iii−i−i0000i−ii−i00000000
χ5722-2-222-2-2-222-12-2-2-22-111-1-1-2-21122-22-1-22-1-2111-122-1-2-1-1111000000002i2i−2i−2i2i2i−2i−2i-212-1-1111-1-1-212-1-1111-1-100000000−2i2i−2i2i000000000000−i−iii−i−iii0000i−ii−i00000000
χ5822-2-222-2-2-222-12-2-2-22-111-1-1-2-21122-22-1-22-1-2111-122-1-2-1-111100000000−2i−2i2i2i−2i−2i2i2i-212-1-1111-1-1-212-1-1111-1-1000000002i−2i2i−2i000000000000ii−i−iii−i−i0000−ii−ii00000000
χ5922-2-222-2-2-22-122-211-12-2-22211-2-2-1-12-2-12-221-211-1-1-121-1-111-222-2-222-2-200000000-121-2-11-1-111-121-2-11-1-1110000000000002-22-2-1-111-1-1110000000000000000-11-110000
χ6022-2-222-2-2-22-122-211-12-2-22211-2-2-1-12-2-12-221-211-1-1-121-1-111-2-2-222-2-22200000000-121-2-11-1-111-121-2-11-1-111000000000000-22-2211-1-111-1-100000000000000001-11-10000
χ6122-2-222-2-2-22-122-211-12-2-22211-2-2-1-1-22-1-2221-211-1-1-121-1-111-222-2-222-2-2000000001-2-12-1111-1-11-2-12-1111-1-1000000000000-22-22-1-111-1-11100000000000000001-11-10000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.