Finite Group Databasebeta

← Group #11923282

Character table — Group #11923282

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222223333444444444444446666666688888888888888888888121212121212121212121212121616161616161616161616161818242424242424242424242424242424363636
order122234444446664444336666661212121212122244444433666666121212121212121212121212444121212121212121212121212121212121212121212124466661212121212121212121212224
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+i32111−1−i32−1−i32−1−i32−1−i32−1+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−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111
χ411111111111111-1-1-1-111111111111111-1-111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1
χ511111111111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111-1-111-1-1-1-1−1−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−i321111+i321+i321+i321+i321−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−i32111111-1-111-1-1-1-1−1+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+i321111−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1
χ71111111-1-1-1-1111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11
χ81111111-1-1-1-11111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1111111-1-1-1-1−1−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+i32-1-1111−1−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−i3211−1−i32−1−i32−1+i32−1+i321-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11
χ91111111-1-1-1-11111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1111111-1-1-1-1−1+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−i32-1-1111−1+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+i3211−1+i32−1+i32−1−i32−1−i321-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11
χ101111111-1-1-1-1111-1-1-1-111111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1
χ111111111-1-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-111-1-1111111−1−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+i32-1-11111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i321-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211-1
χ121111111-1-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-111-1-1111111−1+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−i32-1-11111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i321-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211-1
χ1311111-1-111-1-111111111111111111-1-1-1-1-1-11111-1-11111111111-1-111-1-1-1-1-1-11-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1-11-111-1-111-1-11-1-1
χ1411111-1-111-1-11111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-1-1-11111-1-1−1−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−i321-1-111−1−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−i32111+i321+i321−i321−i32-11-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-1
χ1511111-1-111-1-11111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-1-1-11111-1-1−1+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+i321-1-111−1+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+i32111−i321−i321+i321+i32-11-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-1
χ1611111-1-111-1-1111-1-1-1-11111111111-1-1-1-11111-1-1111111111111-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11-1-1-111-1-111-111
χ1711111-1-111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-11111-1-111−1−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−i321-1-1111+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1−1−i32−1−i32−1+i32−1+i32-11-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111
χ1811111-1-111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-11111-1-111−1+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+i321-1-1111−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1−1+i32−1+i32−1−i32−1−i32-11-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111
χ1911111-1-1-1-111111111111111111-1-111-1-1-1-111-1-11111111111-1-111-1-111-1-1-1-1-11-11111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-111-1-111-11-1
χ2011111-1-1-1-1111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-1-1-111-1-111−1−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−i32-11-111−1−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+i321−i321−i32-1-111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-1
χ2111111-1-1-1-1111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-1-1-111-1-111−1+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+i32-11-111−1+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−i321+i321+i32-1-111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-1
χ2211111-1-1-1-111111-1-1-1-111111111-1-111-1-1111111-1-111111111-1-111-1-111-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1111-1-111-1-11-11
χ2311111-1-1-1-111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-1111111-1-1−1−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−i32-11-1111+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−i32−1+i32−1+i32-1-11−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11
χ2411111-1-1-1-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-1111111-1-1−1+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+i32-11-1111−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+i32−1−i32−1−i32-1-11−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11
χ252222-1222222-1-1-1000022222222-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1222222222222222-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-100000000000
χ262222-1222222-1-1-10000−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1002200001+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−i32000000-1-1-100000000000
χ272222-1222222-1-1-10000−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1002200001−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+i32000000-1-1-100000000000
χ282222-122-2-2-2-2-1-1-10000222222221111-1-100220000-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-22-1-100000000-1-1-1-111111111000000-11100000000000
χ292222-122-2-2-2-2-1-1-10000−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31111-1-1002200001+i321−i321+i321−i321+i321−i321+i321−i321+i31+i31+i31+i31−i31−i31−i31−i3−1−i3−1−i3−1+i3−1+i3-2-22-1-1000000001+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000-11100000000000
χ302222-122-2-2-2-2-1-1-10000−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31111-1-1002200001−i321+i321−i321+i321−i321+i321−i321+i321−i31−i31−i31−i31+i31+i31+i31+i3−1+i3−1+i3−1−i3−1−i3-2-22-1-1000000001−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000-11100000000000
χ312222-1-2-222-2-2-1-1-1000022222222-1-1111100220000-1-1-1-1-1-1-1-122-2-222-2-2-2-2-2-22-2-2-1-1000000001111-1-111-1-1110000001-1100000000000
χ322222-1-2-222-2-2-1-1-10000−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-11111002200001+i321−i321+i321−i321+i321−i321+i321−i32−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i31+i31+i31−i31−i32-2-2-1-100000000−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i320000001-1100000000000
χ332222-1-2-222-2-2-1-1-10000−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-11111002200001−i321+i321−i321+i321−i321+i321−i321+i32−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i31−i31−i31+i31+i32-2-2-1-100000000−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i320000001-1100000000000
χ342222-1-2-2-2-222-1-1-100002222222211-1-11100220000-1-1-1-1-1-1-1-1-2-222-2-222-2-2-2-2-22-2-1-100000000111111-1-111-1-100000011-100000000000
χ352222-1-2-2-2-222-1-1-10000−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i311-1-111002200001+i321−i321+i321−i321+i321−i321+i321−i321+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i31+i31+i31−i31−i3-22-2-1-100000000−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3200000011-100000000000
χ362222-1-2-2-2-222-1-1-10000−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i311-1-111002200001−i321+i321−i321+i321−i321+i321−i321+i321−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i31−i31−i31+i31+i3-22-2-1-100000000−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3200000011-100000000000
χ3722-2-222-22i−2i2i−2i-2-2222-2-2-1-111-1-1112i−2i2i−2i2-22-2002i−2i2i−2i-1-111-1-111i−ii−ii−ii−i1-11-10000011-1-111-1-11-11-1i−ii−ii−ii−i001-11-1000i−ii−ii−ii−i000
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χ884-44-44000000-44-44i−4i−4i4i1+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3000000000000001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3000000000000000002ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ700000000000000000000000000000000
χ894-44-44000000-44-44i−4i−4i4i1−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3000000000000001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3000000000000000002ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ1100000000000000000000000000000000
χ904-44-44000000-44-4−4i4i4i−4i-2-2-2-2222200000000000000-2-22222-2-200000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ914-44-44000000-44-4−4i4i4i−4i1+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3000000000000001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i300000000000000000−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ700000000000000000000000000000000
χ924-44-44000000-44-4−4i4i4i−4i1−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3000000000000001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i300000000000000000−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ1100000000000000000000000000000000
χ934-4-44-2000000-222000044-4-4-4-444000000004-40000-2-2-2-22222000000000000000-220000000000000000000000000000000000000000
χ944-4-44-2000000-2220000−2−2i3−2+2i32+2i32−2i32+2i32−2i3−2−2i3−2+2i3000000004-400001+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3000000000000000-220000000000000000000000000000000000000000
χ954-4-44-2000000-2220000−2+2i3−2−2i32−2i32+2i32−2i32+2i3−2+2i3−2−2i3000000004-400001−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3000000000000000-220000000000000000000000000000000000000000
χ966666-3666666-3-3-3000000000000-3-3-3-3-3-300-2-2000000000000000000000000-2-2-2110000000000000000000000000011100000000000
χ976666-366-6-6-6-6-3-3-30000000000003333-3-300-2-200000000000000000000000022-211000000000000000000000000001-1-100000000000
χ986666-3-6-666-6-6-3-3-3000000000000-3-3333300-2-2000000000000000000000000-2221100000000000000000000000000-11-100000000000
χ996666-3-6-6-6-666-3-3-300000000000033-3-33300-2-20000000000000000000000002-221100000000000000000000000000-1-1100000000000
χ1006-6-6660000006-6-66i−6i6i−6i0000000000000000-22000000000000000000000000000-2200000000000000000000−2i2i000000000000000000
χ1016-6-6660000006-6-6−6i6i−6i6i0000000000000000-22000000000000000000000000000-22000000000000000000002i−2i000000000000000000
χ1028-88-8-40000004-440000-4-4-4-444440000000000000022-2-2-2-222000000000000000000000000000000000000000000000000000000000
χ1038-88-8-40000004-4400002+2i32−2i32+2i32−2i3−2−2i3−2+2i3−2−2i3−2+2i300000000000000−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i3000000000000000000000000000000000000000000000000000000000
χ1048-88-8-40000004-4400002−2i32+2i32−2i32+2i3−2+2i3−2−2i3−2+2i3−2−2i300000000000000−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i3000000000000000000000000000000000000000000000000000000000
χ10512-12-1212-6000000-66600000000000000000000-440000000000000000000000000002-20000000000000000000000000000000000000000

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