Finite Group Databasebeta

← Group #11784087

Character table — Group #11784087

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222222222222244444444444444444444444444444444444444444444444444444444999999991212121212121212121212121212121218181818181818181818181824242424242424242424242424242424
order122244442233444444444466666612121212121212123666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212888888882244444488888888888888888888661212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ51111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ61111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ71111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ81111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ91111-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i
χ101111-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111−i−iii−i−iii
χ111111-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii11-1-111-1-1ii−i−i−i−iii−i−iii-1-1-1-1111111-1-111-1-1ii−i−i−i−iii
χ121111-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111-1-111−i−iiiii−i−i−i−iii-1-1-1-11111-1-111-1-111−i−iiiii−i−i
χ131111-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i11-1-111-1-1−i−iiiii−i−iii−i−i-1-1-1-1111111-1-111-1-1−i−iiiii−i−i
χ141111-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-111-1-111ii−i−i−i−iiiii−i−i-1-1-1-11111-1-111-1-111ii−i−i−i−iii
χ151111-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii
χ161111-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i−i−iii1111-1-1-1-1-1-1-1-11111ii−i−iii−i−i
χ171-1-1111-1-1-1111111-1-111-1-1-1-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1111111-11-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i1-1i−ii−i1-11-11-1i−ii−ii−ii−iii−i−iii−i−i1-1i−ii−i1-11-11-1i−ii−i
χ181-1-1111-1-1-1111111-1-111-1-1-1-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1111111-11-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i-11−ii−ii-11-11-11−ii−iii−ii−iii−i−iii−i−i-11−ii−ii-11-11-11−ii−ii
χ191-1-1111-1-1-1111111-1-111-1-1-1-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1111111-11-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii1-1−ii−ii1-11-11-1−ii−ii−ii−ii−i−iii−i−iii1-1−ii−ii1-11-11-1−ii−ii
χ201-1-1111-1-1-1111111-1-111-1-1-1-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1111111-11-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii-11i−ii−i-11-11-11i−ii−i−ii−ii−i−iii−i−iii-11i−ii−i-11-11-11i−ii−i
χ211-1-1111-1-1-11111-1-111-1-111-1-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1111111-11-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i1-1−ii−ii1-1-11-11i−ii−ii−ii−i−i−iii−i−iii1-1−ii−ii1-1-11-11i−ii−i
χ221-1-1111-1-1-11111-1-111-1-111-1-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1111111-11-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i-11i−ii−i-111-11-1−ii−iii−ii−i−i−iii−i−iii-11i−ii−i-111-11-1−ii−ii
χ231-1-1111-1-1-11111-1-111-1-111-1-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1111111-11-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iii−i−iii1-1i−ii−i1-1-11-11−ii−ii−ii−iiii−i−iii−i−i1-1i−ii−i1-1-11-11−ii−ii
χ241-1-1111-1-1-11111-1-111-1-111-1-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1111111-11-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iii−i−iii-11−ii−ii-111-11-1i−ii−i−ii−iiii−i−iii−i−i-11−ii−ii-111-11-1i−ii−i
χ251-1-11-1-1111-1111ii−i−i−i−iii-1-1-11-1-11-1-11111-1-1111-1-111-1-11-1-11-11-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1111-1−iii−i-11i−i−ii1-1-111-1-11−i−iiiii−i−i1-1−iii−i-11i−i−ii1-1-11
χ261-1-11-1-1111-1111ii−i−i−i−iii-1-1-11-1-11-1-11111-1-1111-1-111-1-11-1-11-11-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111-11i−i−ii1-1−iii−i-111-11-1-11−i−iiiii−i−i-11i−i−ii1-1−iii−i-111-1
χ271-1-11-1-1111-1111ii−i−i−i−iii-1-1-11-1-11-1-11111-1-1111-1-111-1-11-1-11-11-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-11-1i−i−ii-11i−i−ii-111-1-111-1ii−i−i−i−iii1-1i−i−ii-11i−i−ii-111-1
χ281-1-11-1-1111-1111ii−i−i−i−iii-1-1-11-1-11-1-11111-1-1111-1-111-1-11-1-11-11-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1-11−iii−i1-1−iii−i1-1-11-111-1ii−i−i−i−iii-11−iii−i1-1−iii−i1-1-11
χ291-1-11-1-1111-1111−i−iiiii−i−i-1-1-11-1-11-1-11111-1-1111-1-111-1-11-1-11-11-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1111-1i−i−ii-11−iii−i1-1-111-1-11ii−i−i−i−iii1-1i−i−ii-11−iii−i1-1-11
χ301-1-11-1-1111-1111−i−iiiii−i−i-1-1-11-1-11-1-11111-1-1111-1-111-1-11-1-11-11-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111-11−iii−i1-1i−i−ii-111-11-1-11ii−i−i−i−iii-11−iii−i1-1i−i−ii-111-1
χ311-1-11-1-1111-1111−i−iiiii−i−i-1-1-11-1-11-1-11111-1-1111-1-111-1-11-1-11-11-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-11-1−iii−i-11−iii−i-111-1-111-1−i−iiiii−i−i1-1−iii−i-11−iii−i-111-1
χ321-1-11-1-1111-1111−i−iiiii−i−i-1-1-11-1-11-1-11111-1-1111-1-111-1-11-1-11-11-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1-11i−i−ii1-1i−i−ii1-1-11-111-1−i−iiiii−i−i-11i−i−ii1-1i−i−ii1-1-11
χ3322222222222-12222222222-1-1222-122-1-122-1-1-12-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000002200002222220000000000000000-1-10000-1-1-1-1-1-10000
χ3422222222222-12222222222-1-1222-122-1-122-1-1-12-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-20000-2-2-2-2-2-200000000000000001100001111110000
χ3522222222222-12-2-2-2-2-2-2-2-22-1-1222-122-1-122-1-1-12-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-21111110000000022000022-2-2-2-20000000000000000-1-10000-1-111110000
χ3622222222222-12-2-2-2-2-2-2-2-22-1-1222-122-1-122-1-1-12-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100000000-2-20000-2-22222000000000000000011000011-1-1-1-10000
χ372222222222-12222222222222-1-1-12-1-122-1-122-1-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000002222000000222200000000000000-1-1-1-1000000-1-1-1-1
χ382222222222-12222222222222-1-1-12-1-122-1-122-1-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000-2-2-2-2000000-2-2-2-20000000000000011110000001111
χ392222222222-122-2-2-2-2-2-2-2-2222-1-1-12-1-122-1-122-1-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-111-2-2111111-2-2111111-2-2111111-2-2111100000000002222000000-2-2-2-200000000000000-1-1-1-10000001111
χ402222222222-122-2-2-2-2-2-2-2-2222-1-1-12-1-122-1-122-1-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-111-2-2111111-2-2111111-2-2111111-2-211110000000000-2-2-2-20000002222000000000000001111000000-1-1-1-1
χ4122222222-2-222-200000000-2222222222222222-2-222-2-2-2-22-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000222222220000000000000000-2-2-2-2000000000000000000000000
χ4222222222-2-222-200000000-2222222222222222-2-222-2-2-2-22-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2-2-2-2-2-2-2-200000000000000002222000000000000000000000000
χ432222-2-2-2-22222-200000000-2222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i0000000000000000−2i−2i2i2i000000000000000000000000
χ442222-2-2-2-22222-200000000-2222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i00000000000000002i2i−2i−2i000000000000000000000000
χ452222-2-2-2-2-2-22-122i2i2i2i−2i−2i−2i−2i2-1-1222-1-2-211-2-211-1-21-1-111-21-11122-1-1-1-1-1-111112i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii00000000220000-2-22i2i−2i−2i0000000000000000-1-1000011−i−iii0000
χ462222-2-2-2-2-2-22-122i2i2i2i−2i−2i−2i−2i2-1-1222-1-2-211-2-211-1-21-1-111-21-11122-1-1-1-1-1-111112i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii00000000-2-2000022−2i−2i2i2i0000000000000000110000-1-1ii−i−i0000
χ472222-2-2-2-2-2-22-12−2i−2i−2i−2i2i2i2i2i2-1-1222-1-2-211-2-211-1-21-1-111-21-11122-1-1-1-1-1-11111−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i00000000220000-2-2−2i−2i2i2i0000000000000000-1-1000011ii−i−i0000
χ482222-2-2-2-2-2-22-12−2i−2i−2i−2i2i2i2i2i2-1-1222-1-2-211-2-211-1-21-1-111-21-11122-1-1-1-1-1-11111−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i00000000-2-20000222i2i−2i−2i0000000000000000110000-1-1−i−iii0000
χ492222-2-2-2-2-2-2-1222i2i2i2i−2i−2i−2i−2i222-1-1-1211-2-211-2-2-11-2-1-1111-2-111-1-122-1-1-1-11111−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii000000000022-2-20000002i2i−2i−2i00000000000000-1-111000000−i−iii
χ502222-2-2-2-2-2-2-1222i2i2i2i−2i−2i−2i−2i222-1-1-1211-2-211-2-2-11-2-1-1111-2-111-1-122-1-1-1-11111−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii0000000000-2-222000000−2i−2i2i2i0000000000000011-1-1000000ii−i−i
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χ1394-4-44-4-4444-4-2-244i4i−4i−4i−4i−4i4i4i-422-222-222-2-2-2-2221-2-2-1-111221-1-1-22-2211-1-1-1-111−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i2i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000000000000000000000000000000000
χ1404-4-44-4-4444-4-2-24−4i−4i4i4i4i4i−4i−4i-422-222-222-2-2-2-2221-2-2-1-111221-1-1-22-2211-1-1-1-1112i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000000000000000000000000000000000
χ1414-4-44-4-444-444-2-4000000004224-4-4-2-4-4-2-24422-2-4222224-2-2-2-2-442-222-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-44-4-444-44-24-4000000004-4-4-22242244-2-2-4-4-22-42222-24-2-2-22-2-4422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1434-4-44-4-444-44-2-2-400000000422-222-222-2-2-2-222122-1-1-1-1-2-21112-22-2-1-111-1-11100003-33-30000-33-330000-33-3300003-33-30000000000000000000000000000000000000000000000000000
χ1444-4-44-4-444-44-2-2-400000000422-222-222-2-2-2-222122-1-1-1-1-2-21112-22-2-1-111-1-1110000-33-3300003-33-300003-33-30000-33-330000000000000000000000000000000000000000000000000000

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