Finite Group Databasebeta

← Group #11923205

Character table — Group #11923205

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222222222222444444446666888888888888888888888888888888888888888888881212121212121212121212121212363636364848484848484848
order1222344444466612121212121212121212121233666666224433666666121212121212121212121212121212121212121212121212121212121212121212121212224444661212121212122244666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ411111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-111-1-111111111-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ511111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ611111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-111-1-111111111-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ71111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-1-1-11111-1-11-11-11-11-11-11-1
χ81111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-11-11-11-11-11-11
χ91111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321-11-11-1-1-11111-1-11-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ101111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32-111-1-11-1-11111-1-1-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321-11-11-1-1-11111-1-11-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ121111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32-111-1-11-1-11111-1-1-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ1311111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-11-1-111-1-111-111-11-11-1-11-11
χ1411111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-111-1-1-111-1-1111-1-11-11-111-11-1
χ1511111-1-111-1-1111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321-1-11-11-1-111-1-111-111-1−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ1611111-1-111-1-1111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-11-111-1-1-111-1-1111-1-111+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ1711111-1-111-1-1111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321-1-11-11-1-111-1-111-111-1−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ1811111-1-111-1-1111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-11-111-1-1-111-1-1111-1-111−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ1911111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1
χ2011111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111
χ2111111-1-1-1-111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3211-1-1-1-11111-1-1-1-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ2211111-1-1-1-111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1111111-1-1-1-111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ2311111-1-1-1-111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3211-1-1-1-11111-1-1-1-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ2411111-1-1-1-111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1111111-1-1-1-111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ252222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200-1-1-1-1-1-1-1-1000000000000
χ262222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322221+i321−i321+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32002200-1-1-1-1-1-1-1-1000000000000
χ272222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322221−i321+i321−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32002200-1-1-1-1-1-1-1-1000000000000
χ282222-122-2-2-2-2-1-1-1-1-1-1-11111111122222222-2-222-1-1-1-1-1-1-1-122-2-222-2-2-2-2-2-2-1-1-1-111111111-1-1-1-111111111002-20011-1-1-1-111000000000000
χ292222-122-2-2-2-2-1-1-1-1-1-1-111111111−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-2221+i321−i321+i321+i321+i321−i321−i321−i32−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i31+i31+i31−i31−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32002-20011-1-1-1-111000000000000
χ302222-122-2-2-2-2-1-1-1-1-1-1-111111111−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-2221−i321+i321−i321−i321−i321+i321+i321+i32−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i31−i31−i31+i31+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32002-20011-1-1-1-111000000000000
χ312222-1-2-222-2-2-1-1-11111-1-1-1-1111122222222-2-222-1-1-1-1-1-1-1-1-2-222-2-222-2-2-2-21111-1-1-1-111111111-1-1-1-1111100-220011-1-111-1-1000000000000
χ322222-1-2-222-2-2-1-1-11111-1-1-1-11111−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-2221+i321−i321+i321+i321+i321−i321−i321−i321+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i31+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200-220011-1-111-1-1000000000000
χ332222-1-2-222-2-2-1-1-11111-1-1-1-11111−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-2221−i321+i321−i321−i321−i321+i321+i321+i321−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i31−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200-220011-1-111-1-1000000000000
χ342222-1-2-2-2-222-1-1-111111111-1-1-1-1222222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222211111111-1-1-1-111111111-1-1-1-100-2-200-1-1-1-11111000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.