Finite Group Databasebeta

← Group #11860012

Character table — Group #11860012

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222222222222244444444444444444444444444444444444444444444444444444444999999991212121212121212121212121212121218181818181818181818181824242424242424242424242424242424
order1222444422334466666688888888121212121212121236666666666612121212121212121212121224242424242424242424242424242424242424242424242424242424242424244444444422224444444444444444888888886666121212121212121212121212
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
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ511111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1
χ101111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ121111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111
χ1711-1-111-1-11-111-11-1-1-1-111ii−i−iii−i−i1111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i1-11-11-11-1i−ii−ii−ii−ii−ii−i11-1-111-1-11-11-1i−ii−ii−ii−i1-11-1
χ1811-1-111-1-11-111-11-1-1-1-111ii−i−iii−i−i1111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i-11-11-11-11−ii−ii−ii−iii−ii−i11-1-111-1-1-11-11−ii−ii−ii−ii-11-11
χ1911-1-111-1-11-111-11-1-1-1-111ii−i−iii−i−i1111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii1-1-111-1-11i−ii−i−ii−ii−ii−ii-1-111-1-1111-1-11i−ii−i−ii−ii1-1-11
χ2011-1-111-1-11-111-11-1-1-1-111ii−i−iii−i−i1111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii-111-1-111-1−ii−iii−ii−i−ii−ii-1-111-1-111-111-1−ii−iii−ii−i-111-1
χ2111-1-111-1-11-111-11-1-1-1-111−i−iii−i−iii1111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i1-1-111-1-11−ii−iii−ii−ii−ii−i-1-111-1-1111-1-11−ii−iii−ii−i1-1-11
χ2211-1-111-1-11-111-11-1-1-1-111−i−iii−i−iii1111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i-111-1-111-1i−ii−i−ii−iii−ii−i-1-111-1-111-111-1i−ii−i−ii−ii-111-1
χ2311-1-111-1-11-111-11-1-1-1-111−i−iii−i−iii1111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii1-11-11-11-1−ii−ii−ii−ii−ii−ii11-1-111-1-11-11-1−ii−ii−ii−ii1-11-1
χ2411-1-111-1-11-111-11-1-1-1-111−i−iii−i−iii1111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii-11-11-11-11i−ii−ii−ii−i−ii−ii11-1-111-1-1-11-11i−ii−ii−ii−i-11-11
χ2511-1-1-1-111-1111-11-1-1-1-111ii−i−i−i−iii-1-1-1-111111-1-111-1-1-1-11111111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii1-11-1-11-11i−i−iii−i−iii−i−ii11-1-1-1-1111-11-1i−i−iii−i−ii-11-11
χ2611-1-1-1-111-1111-11-1-1-1-111ii−i−i−i−iii-1-1-1-111111-1-111-1-1-1-11111111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii-11-111-11-1−iii−i−iii−ii−i−ii11-1-1-1-111-11-11−iii−i−iii−i1-11-1
χ2711-1-1-1-111-1111-11-1-1-1-111ii−i−i−i−iii-1-1-1-111111-1-111-1-1-1-11111111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i1-1-11-111-1i−i−ii−iii−i−iii−i-1-11111-1-11-1-11i−i−ii−iii−i-111-1
χ2811-1-1-1-111-1111-11-1-1-1-111ii−i−i−i−iii-1-1-1-111111-1-111-1-1-1-11111111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i-111-11-1-11−iii−ii−i−ii−iii−i-1-11111-1-1-111-1−iii−ii−i−ii1-1-11
χ2911-1-1-1-111-1111-11-1-1-1-111−i−iiiii−i−i-1-1-1-111111-1-111-1-1-1-11111111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii1-1-11-111-1−iii−ii−i−iii−i−ii-1-11111-1-11-1-11−iii−ii−i−ii-111-1
χ3011-1-1-1-111-1111-11-1-1-1-111−i−iiiii−i−i-1-1-1-111111-1-111-1-1-1-11111111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii-111-11-1-11i−i−ii−iii−ii−i−ii-1-11111-1-1-111-1i−i−ii−iii−i1-1-11
χ3111-1-1-1-111-1111-11-1-1-1-111−i−iiiii−i−i-1-1-1-111111-1-111-1-1-1-11111111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i1-11-1-11-11−iii−i−iii−i−iii−i11-1-1-1-1111-11-1−iii−i−iii−i-11-11
χ3211-1-1-1-111-1111-11-1-1-1-111−i−iiiii−i−i-1-1-1-111111-1-111-1-1-1-11111111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i-11-111-11-1i−i−iii−i−ii−iii−i11-1-1-1-111-11-11i−i−iii−i−ii1-11-1
χ3322222222222-12222-1-12-12222222222-1-122-1-1-12-12-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000002200220000222200000000000000-1-10000-1-1-1-100-1-1
χ3422222222222-12222-1-12-12222222222-1-122-1-1-12-12-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000-2-200-2-20000-2-2-2-20000000000000011000011110011
χ3522222222222-12222-1-12-1-2-2-2-2-2-2-2-222-1-122-1-1-12-12-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100000000002200220000-2-2-2-200000000000000-1-10000111100-1-1
χ3622222222222-12222-1-12-1-2-2-2-2-2-2-2-222-1-122-1-1-12-12-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-21111110000000000-2-200-2-20000222200000000000000110000-1-1-1-10011
χ372222222222-1222-1-122-1222222222-1-122-1-122-1-12-12-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000002200220022220000000000000000-1-100-1-1-1-10000-1-100
χ382222222222-1222-1-122-1222222222-1-122-1-122-1-12-12-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-200-2-200-2-2-2-200000000000000001100111100001100
χ392222222222-1222-1-122-12-2-2-2-2-2-2-2-2-1-122-1-122-1-12-12-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-211110000000022002200-2-2-2-20000000000000000-1-10011110000-1-100
χ402222222222-1222-1-122-12-2-2-2-2-2-2-2-2-1-122-1-122-1-12-12-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-2111100000000-2-200-2-200222200000000000000001100-1-1-1-100001100
χ4122222222-2-222-2-222222200000000222222222-2-2-2-222-2-2-2-22-2-2-2-22222-2-2-2-200000000000000000000000000000000222222220000000000000000-2-2-2-2000000000000000000000000
χ4222222222-2-222-2-222222200000000222222222-2-2-2-222-2-2-2-22-2-2-2-22222-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-200000000000000002222000000000000000000000000
χ432222-2-2-2-22222-2-222222200000000-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-20000000000000000-2-222000000000000000000000000
χ442222-2-2-2-22222-2-222222200000000-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-22222000000000000000022-2-2000000000000000000000000
χ452222-2-2-2-2-2-22-12222-1-12-12222-2-2-2-2-2-211-2-211-1-21-21-1-11111-12-1-1-111112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111100000000002200-2-2000022-2-200000000000000-1-10000-1-1110011
χ462222-2-2-2-2-2-22-12222-1-12-12222-2-2-2-2-2-211-2-211-1-21-21-1-11111-12-1-1-111112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111110000000000-2-200220000-2-2220000000000000011000011-1-100-1-1
χ472222-2-2-2-2-2-22-12222-1-12-1-2-2-2-22222-2-211-2-211-1-21-21-1-11111-12-1-1-111112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000002200-2-20000-2-22200000000000000-1-1000011-1-10011
χ482222-2-2-2-2-2-22-12222-1-12-1-2-2-2-22222-2-211-2-211-1-21-21-1-11111-12-1-1-111112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-10000000000-2-20022000022-2-200000000000000110000-1-11100-1-1
χ492222-2-2-2-2-2-2-1222-1-122-122222-2-2-2-211-2-211-2-2-11-21-2-1-11111-1-12-1-11111-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111000000002200-2-20022-2-20000000000000000-1-100-1-11100001100
χ502222-2-2-2-2-2-2-1222-1-122-122222-2-2-2-211-2-211-2-2-11-21-2-1-11111-1-12-1-11111-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100000000-2-2002200-2-2220000000000000000110011-1-10000-1-100
χ512222-2-2-2-2-2-2-1222-1-122-12-2-2-2-2222211-2-211-2-2-11-21-2-1-11111-1-12-1-11111-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-1000000002200-2-200-2-2220000000000000000-1-10011-1-100001100
χ522222-2-2-2-2-2-2-1222-1-122-12-2-2-2-2222211-2-211-2-2-11-21-2-1-11111-1-12-1-11111-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100000000-2-200220022-2-200000000000000001100-1-1110000-1-100
χ5322-2-222-2-22-22-1-22-2-2112-12i2i−2i−2i2i2i−2i−2i22-1-1-2-211-12-1-2111-1-111-12-1-1-1-1-111-21112i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii00000000002-2002-200002i−2i2i−2i00000000000000-110000−ii−ii00-11
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.