Finite Group Databasebeta

← Group #11923283

Character table — Group #11923283

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222223333444444444444446666666688888888888888888888121212121212121212121212121616161616161616161616161818242424242424242424242424242424363636
order12223444444666444433666666121212121212222244443366666612121212121212121212121244412121212121212121212121212121212121212121212446666666612121212121212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111111−1−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+i3211111−1−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+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32111
χ3111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111111111−1+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−i3211111−1+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−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32111
χ411111111111111-1-1-1-111111111111111-1-1-1-111-1-11111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1
χ511111111111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111-1-1-1-111-1-1−1−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+i32111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321+i321−i321−i321−i321−i321111+i321+i321−i321−i32-1-1-1
χ611111111111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111-1-1-1-111-1-1−1+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−i32111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−i321−i321+i321+i32-1-1-1
χ71111111-1-1-1-111111111111111111-1-1-1-111-1-111-1-111111111-1-1-1-111-1-111-1-1-11-11111111111-1-1-1-111-1-111-1-11111-1-111-1-1-11-1-1-1-1-1-11-1
χ81111111-1-1-1-11111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-11+i321+i321−i321−i32-11-1
χ91111111-1-1-1-11111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-11−i321−i321+i321+i32-11-1
χ101111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-11-111111-11
χ111111111-1-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-1111+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-1−1−i32−1−i32−1+i32−1+i321-11
χ121111111-1-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-1111−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-1−1+i32−1+i32−1−i32−1−i321-11
χ1311111-1-111-1-1111111111111111-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111-1-111111111111-1-1-1-1-1-111-1-11111-1-111-1-111-1-11-1-1-1-1-1-11
χ1411111-1-111-1-11111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-1-1-11111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-111+i321+i321−i321−i32-1-11
χ1511111-1-111-1-11111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-1-1-11111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-111−i321−i321+i321+i32-1-11
χ1611111-1-111-1-1111-1-1-1-111111111-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111111-1
χ1711111-1-111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-11111+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-11−1−i32−1−i32−1+i32−1+i3211-1
χ1811111-1-111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-11111−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-11−1+i32−1+i32−1−i32−1−i3211-1
χ1911111-1-1-1-111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-111111-1-1
χ2011111-1-1-1-1111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-111-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-1-111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111+i321+i321+i321+i321−i321−i321−i321−i321-1-1−1−i32−1−i32−1+i32−1+i321-1-1
χ2111111-1-1-1-1111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-111-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-1-111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111−i321−i321−i321−i321+i321+i321+i321+i321-1-1−1+i32−1+i32−1−i32−1−i321-1-1
χ2211111-1-1-1-111111-1-1-1-111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-111
χ2311111-1-1-1-111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-111111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-1-1111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321-1-11+i321+i321−i321−i32-111
χ2411111-1-1-1-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-111111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-1-1111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321-1-11−i321−i321+i321+i32-111
χ252222-1222222-1-1-1000022222222-1-1-1-1-1-100002200-1-1-1-1-1-1-1-1222222222222222-1-100000000-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-10000000
χ262222-1222222-1-1-10000−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1000022001+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+i3222-1-1000000001+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i320000000000-1-1-10000000
χ272222-1222222-1-1-10000−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1000022001−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−i3222-1-1000000001−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i320000000000-1-1-10000000
χ282222-122-2-2-2-2-1-1-1000022222222-1-1111100002200-1-1-1-1-1-1-1-1-2-2-2-222-2-222-2-2-22-2-1-1000000001111-1-111-1-11100000000001-110000000
χ292222-122-2-2-2-2-1-1-10000−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-11111000022001+i321−i321+i321−i321+i321−i321+i321−i321+i31+i31−i31−i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3-22-2-1-100000000−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3200000000001-110000000
χ302222-122-2-2-2-2-1-1-10000−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-11111000022001−i321+i321−i321+i321−i321+i321−i321+i321−i31−i31+i31+i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3-22-2-1-100000000−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3200000000001-110000000
χ312222-1-2-222-2-2-1-1-100002222222211-1-11100002200-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-222-2-22-1-100000000111111-1-111-1-1000000000011-10000000
χ322222-1-2-222-2-2-1-1-10000−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i311-1-111000022001+i321−i321+i321−i321+i321−i321+i321−i321+i31+i31−i31−i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3-2-22-1-100000000−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32000000000011-10000000
χ332222-1-2-222-2-2-1-1-10000−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i311-1-111000022001−i321+i321−i321+i321−i321+i321−i321+i321−i31−i31+i31+i31−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3-2-22-1-100000000−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32000000000011-10000000
χ342222-1-2-2-2-222-1-1-10000222222221111-1-100002200-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-22-2-2-1-100000000-1-1-1-1111111110000000000-1110000000
χ352222-1-2-2-2-222-1-1-10000−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31111-1-1000022001+i321−i321+i321−i321+i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i32-2-2-1-1000000001+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i320000000000-1110000000
χ362222-1-2-2-2-222-1-1-10000−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31111-1-1000022001−i321+i321−i321+i321−i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i32-2-2-1-1000000001−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i320000000000-1110000000
χ372-22-222i−2i2i−2i2-2-2-222i2i−2i−2i-1-1-1-111112i−2i2i−2i2-22-22-2002i−2i-1-111-1-1111-11-1i−ii−ii−ii−i00000ii−i−iii−i−i1-11-1i−ii−ii−ii−i001-11-11-11-1000i−ii−i000
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χ894-44-4-2−4i4i4i−4i-4422-200001−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i32i−2i−2i2i2-200000000−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i3−1+i31+i3−1−i3−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ110000000000000−1+i321−i32−1−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ1100000000000000000000
χ904-44-4-2−4i4i−4i4i4-422-20000-2-2-2-222222i−2i2i−2i-220000000011-1-111-1-12-22-2−2i2i−2i2i−2i2i−2i2i0000000000000-11-11i−ii−ii−ii−i00000000000000000000
χ914-44-4-2−4i4i−4i4i4-422-200001+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i32i−2i2i−2i-2200000000−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i31+i3−1+i31−i3−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ700000000000001+i32−1−i321−i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ700000000000000000000
χ924-44-4-2−4i4i−4i4i4-422-200001−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i32i−2i2i−2i-2200000000−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ1100000000000001−i32−1+i321+i32−1−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ1100000000000000000000
χ934-4-44-2000000-222000044-4-444-4-400000000004-400-2-2-2-22222000000000000000-220000000000000000000000000000000000000000
χ944-4-44-2000000-2220000−2−2i3−2+2i32+2i32−2i3−2−2i3−2+2i32+2i32−2i300000000004-4001+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3000000000000000-220000000000000000000000000000000000000000
χ954-4-44-2000000-2220000−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i32−2i32+2i300000000004-4001−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3000000000000000-220000000000000000000000000000000000000000
χ966666-3666666-3-3-3000000000000-3-3-3-3-3-30000-2-20000000000000000000000-2-2-2110000000000000000000000000000001110000000
χ976666-366-6-6-6-6-3-3-3000000000000-3-333330000-2-200000000000000000000002-2211000000000000000000000000000000-11-10000000
χ986666-3-6-666-6-6-3-3-300000000000033-3-3330000-2-2000000000000000000000022-211000000000000000000000000000000-1-110000000
χ996666-3-6-6-6-666-3-3-30000000000003333-3-30000-2-20000000000000000000000-222110000000000000000000000000000001-1-10000000
χ1006-6-6660000006-6-66i−6i6i−6i000000000000000000-220000000000000000000000000-2200000000000000000000−2i2i000000000000000000
χ1016-6-6660000006-6-6−6i6i−6i6i000000000000000000-220000000000000000000000000-22000000000000000000002i−2i000000000000000000
χ10288-8-8-40000004-440000-4-44444-4-40000000000000022-2-2-2-222000000000000000000000000000000000000000000000000000000000
χ10388-8-8-40000004-4400002+2i32−2i3−2−2i3−2+2i3−2−2i3−2+2i32+2i32−2i300000000000000−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i3000000000000000000000000000000000000000000000000000000000
χ10488-8-8-40000004-4400002−2i32+2i3−2+2i3−2−2i3−2+2i3−2−2i32−2i32+2i300000000000000−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i3000000000000000000000000000000000000000000000000000000000
χ10512-12-1212-6000000-6660000000000000000000000-4400000000000000000000000002-20000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.