Finite Group Databasebeta

← Group #11923393

Character table — Group #11923393

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444444444444666666668888888888881212121212121212121212121616161616161616161616161616161624242424242424243636363648484848
order122234466633446666661212121212122222444433666666121212122244666666121212121212121212121212121212121212666612121212244412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-111111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111-1-111111111-1-1-1-111-1-111-1-1111111111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111−1−i32−1+i3211−1−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+i32111111111111−1−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+i321111−1−i32−1−i32−1+i32−1+i32
χ61111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111-1-111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111111111−1−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+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i32
χ71111111111−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111-1-1-1-1111+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−i32−1−i32−1+i32−1+i3211-1-11+i321+i321−i321−i32
χ81111111111−1−i32−1+i32-1-1−1−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+i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-1-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111−1−i32−1−i32−1+i32−1+i32
χ91111111111−1+i32−1−i3211−1+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−i32111111111111−1+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−i321111−1+i32−1+i32−1−i32−1−i32
χ101111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111-1-111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111111111−1+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−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i32
χ111111111111−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111-1-1-1-1111−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+i32−1+i32−1−i32−1−i3211-1-11−i321−i321+i321+i32
χ121111111111−1+i32−1−i32-1-1−1+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−i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-1-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111−1+i32−1+i32−1−i32−1−i32
χ1311111-1-1111111-1111111-1-111-1-1-1-11111-1-111111111-1-1-1-11-11-1-1-111-1-1111-11-1-1-1-1-111-1-111-1-11111-1-1-1-1-111-11-11-1
χ1411111-1-1111111-1111111-1-111-1-1-1-1-1-1111111111111-1-1-1-11-1-11-1-111-1-1111-11-1-1-1-1-111-1-111-1-1-1-1-1-111111-1-11-11-11
χ1511111-1-111111-11111111-1-1-1-111-1-11111-1-111111111-1-1-1-1-11-11-1-1-1-11111-11-11-1-1-1-1-1-111-1-1111111-1-1-1-1-11-11-11-11
χ1611111-1-111111-11111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-11111-11-11-1-1-1-1-1-111-1-111-1-1-1-111111-11-11-11-1
χ1711111-1-1111−1−i32−1+i321-1−1−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−i321-11-1-1-111-1-111−1−i321+i32−1+i321−i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-111-1−1−i321+i32−1+i321−i32
χ1811111-1-1111−1−i32−1+i321-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-11-1-111-1-111−1−i321+i32−1+i321−i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1-111+i32−1−i321−i32−1+i32
χ1911111-1-1111−1−i32−1+i32-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111-1-11111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-11-1-1-1-111111+i32−1−i321−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-11-111+i32−1−i321−i32−1+i32
χ2011111-1-1111−1−i32−1+i32-11−1−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+i321+i321+i321−i321−i32-111-1-1-1-1-111111+i32−1−i321−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-11-1−1−i321+i32−1+i321−i32
χ2111111-1-1111−1+i32−1−i321-1−1+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+i321-11-1-1-111-1-111−1+i321−i32−1−i321+i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-111-1−1+i321−i32−1−i321+i32
χ2211111-1-1111−1+i32−1−i321-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-11-1-111-1-111−1+i321−i32−1−i321+i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1-111−i32−1+i321+i32−1−i32
χ2311111-1-1111−1+i32−1−i32-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111-1-11111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-11-1-1-1-111111−i32−1+i321+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-11-111−i32−1+i321+i32−1−i32
χ2411111-1-1111−1+i32−1−i32-11−1+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−i321−i321−i321+i321+i32-111-1-1-1-1-111111−i32−1+i321+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-11-1−1+i321−i32−1−i321+i32
χ252222-122-1-1-12222222222-1-1-1-1-1-122002200-1-1-1-1-1-1-1-122222200-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ262222-122-1-1-122-2-2222222-1-1111122002200-1-1-1-1-1-1-1-12222-2-200-1-11111-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ272222-122-1-1-1−1−i3−1+i322−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-1220022001+i321−i321+i321+i321−i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i32200-1-1-1-1-1-1-1-1−1−i3−1−i3−1+i3−1+i31+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i320000000000000000
χ282222-122-1-1-1−1−i3−1+i3-2-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-11111220022001+i321−i321+i321+i321−i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i3-2-200-1-11111-1-11+i31+i31−i31−i31+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i320000000000000000
χ292222-122-1-1-1−1+i3−1−i322−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-1220022001−i321+i321−i321−i321+i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i32200-1-1-1-1-1-1-1-1−1+i3−1+i3−1−i3−1−i31−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i320000000000000000
χ302222-122-1-1-1−1+i3−1−i3-2-2−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-11111220022001−i321+i321−i321−i321+i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i3-2-200-1-11111-1-11−i31−i31+i31+i31−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i320000000000000000
χ312222-1-2-2-1-1-1222-222222211-1-111-2-2002200-1-1-1-1-1-1-1-1-2-2-2-22-20011-1-111-1-12-22-21111-1-111-1-1110000000000000000
χ322222-1-2-2-1-1-122-222222221111-1-1-2-2002200-1-1-1-1-1-1-1-1-2-2-2-2-22001111-1-1-1-1-22-22111111-1-111-1-10000000000000000
χ332222-1-2-2-1-1-1−1−i3−1+i32-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i311-1-111-2-20022001+i321−i321+i321+i321−i321−i321+i321−i321+i31+i31−i31−i32-20011-1-111-1-1−1−i31+i3−1+i31−i3−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i320000000000000000
χ342222-1-2-2-1-1-1−1−i3−1+i3-22−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31111-1-1-2-20022001+i321−i321+i321+i321−i321−i321+i321−i321+i31+i31−i31−i3-22001111-1-1-1-11+i3−1−i31−i3−1+i3−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i320000000000000000
χ352222-1-2-2-1-1-1−1+i3−1−i32-2−1+i3−1−i3−1+i3−1+i3−1−i3−1−i311-1-111-2-20022001−i321+i321−i321−i321+i321+i321−i321+i321−i31−i31+i31+i32-20011-1-111-1-1−1+i31−i3−1−i31+i3−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i320000000000000000
χ362222-1-2-2-1-1-1−1+i3−1−i3-22−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31111-1-1-2-20022001−i321+i321−i321−i321+i321+i321−i321+i321−i31−i31+i31+i3-22001111-1-1-1-11−i3−1+i31+i3−1−i3−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i320000000000000000
χ372-22-222-2-2-222200-2-22-22-22-200002-2002-20022-2-2-2-2222-22-200002-200002-200002-22-2000000000000000000000000
χ382-22-222-2-2-22−1−i3−1+i3001+i31−i3−1−i31+i3−1+i31−i32-200002-2002-200−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i300002-200002-20000−1−i31+i3−1+i31−i3000000000000000000000000
χ392-22-222-2-2-22−1+i3−1−i3001−i31+i3−1+i31−i3−1−i31+i32-200002-2002-200−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3−1+i31−i3−1−i31+i300002-200002-20000−1+i31−i3−1−i31+i3000000000000000000000000
χ402-22-22-22-2-222200-2-22-22-2-220000-22002-20022-2-2-2-222-22-220000-2200002-20000-22-22000000000000000000000000
χ412-22-22-22-2-22−1−i3−1+i3001+i31−i3−1−i31+i3−1+i31−i3-220000-22002-200−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i31+i3−1−i31−i3−1+i30000-2200002-200001+i3−1−i31−i3−1+i3000000000000000000000000
χ422-22-22-22-2-22−1+i3−1−i3001−i31+i3−1+i31−i3−1−i31+i3-220000-22002-200−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i31−i3−1+i31+i3−1−i30000-2200002-200001−i3−1+i31+i3−1−i3000000000000000000000000
χ432-22-2-12-211-12200-2-22-22-2-11−i3i3−i3i32-2002-200-1-11111-1-12-22-20000-11−i3i3−i3i3-110000-11-11−i3i3−i3i3−i3i3−i3i30000000000000000
χ442-22-2-12-211-12200-2-22-22-2-11i3−i3i3−i32-2002-200-1-11111-1-12-22-20000-11i3−i3i3−i3-110000-11-11i3−i3i3−i3i3−i3i3−i30000000000000000
χ452-22-2-12-211-1−1−i3−1+i3001+i31−i3−1−i31+i3−1+i31−i3-11−i3i3−i3i32-2002-2001+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i31+i3−1+i31−i30000-11−i3i3−i3i3-1100001+i32−1−i321−i32−1+i32−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i320000000000000000
χ462-22-2-12-211-1−1−i3−1+i3001+i31−i3−1−i31+i3−1+i31−i3-11i3−i3i3−i32-2002-2001+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i31+i3−1+i31−i30000-11i3−i3i3−i3-1100001+i32−1−i321−i32−1+i323−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i320000000000000000
χ472-22-2-12-211-1−1+i3−1−i3001−i31+i3−1+i31−i3−1−i31+i3-11−i3i3−i3i32-2002-2001−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i31−i3−1−i31+i30000-11−i3i3−i3i3-1100001−i32−1+i321+i32−1−i323+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i320000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.