Finite Group Databasebeta

← Group #11923404

Character table — Group #11923404

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444444444444666666668888888888881212121212121212121212121616161616161616161616161616161624242424242424243636363648484848
order122234466622336666666666121222224444336666661212121244446612121212121266666666666612121212666612121212244412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111111111−1−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
χ4111111111111−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111-1-111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11111111111−1−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
χ5111111111111−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111111111−1+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
χ6111111111111−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111-1-111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11111111111−1+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
χ71111111111-1-111-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1
χ81111111111-1-111-1-1-1-11111111111-1-111-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111
χ91111111111-1-1−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111-1-1-1-11+i321+i321−i321−i321+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+i321-1-111+i321+i321−i321−i32
χ101111111111-1-1−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111-1-111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11111-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-111-1−1−i32−1−i32−1+i32−1+i32
χ111111111111-1-1−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-1-1-11−i321−i321+i321+i321−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−i321-1-111−i321−i321+i321+i32
χ121111111111-1-1−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111-1-111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11111-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-111-1−1+i32−1+i32−1−i32−1−i32
χ1311111-1-11111-11111-1-1111111-1-1-1-11111-1-111111111-1-1-1-11-11-1-1-11111-1-11-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-11-111-11-1
χ1411111-1-11111-11111-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-11111-1-11-11-111-1-111-1-1-1-1-1-1-1-1-1-111111-11-1-11-11
χ1511111-1-11111-1−1−i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-1-1-11111-1-1−1−i321+i32−1+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+i321+i321−i321−i32-11-11−1−i321+i32−1+i321−i32
χ1611111-1-11111-1−1−i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1-1-11111-1-1−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-11-11+i32−1−i321−i32−1+i32
χ1711111-1-11111-1−1+i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-1-1-11111-1-1−1+i321−i32−1−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−i321−i321+i321+i32-11-11−1+i321−i32−1−i321+i32
χ1811111-1-11111-1−1+i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1-1-11111-1-1−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-11-11−i32−1+i321+i32−1−i32
χ1911111-1-1111-1111-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-11-11-1-111-1-111-11-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-11-11
χ2011111-1-1111-1111-1-111111111-1-1-1-1-1-1111111111111-1-1-1-11-1-11-1-111-1-111-11-11-1-111-1-111-1-1-1-1-1-1-1-1111111-1-11-11-1
χ2111111-1-1111-11−1−i32−1+i32-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-11-1-111-1-1111+i32−1−i321−i32−1+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+i321+i321−i321−i32-1-1111+i32−1−i321−i32−1+i32
χ2211111-1-1111-11−1−i32−1+i32-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-11-1-111-1-1111+i32−1−i321−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+i3211-1-1−1−i321+i32−1+i321−i32
χ2311111-1-1111-11−1+i32−1−i32-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-11-1-111-1-1111−i32−1+i321+i32−1−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−i321−i321+i321+i32-1-1111−i32−1+i321+i32−1−i32
χ2411111-1-1111-11−1+i32−1−i32-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-11-1-111-1-1111−i32−1+i321+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−i3211-1-1−1+i321−i32−1−i321+i32
χ252222-122-1-1-12222-1-1-1-1222222-1-122002200-1-1-1-1-1-1-1-122220022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ262222-122-1-1-122−1−i3−1+i3-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-1220022001+i321−i321+i321+i321−i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i30022-1-1-1-1-1-1-1-1−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i320000000000000000
χ272222-122-1-1-122−1+i3−1−i3-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-1220022001−i321+i321−i321−i321+i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i30022-1-1-1-1-1-1-1-1−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i320000000000000000
χ282222-122-1-1-1-2-2221111222222-1-122002200-1-1-1-1-1-1-1-1222200-2-2-1-1-1-11111-2-2-2-211111111-1-1-1-10000000000000000
χ292222-122-1-1-1-2-2−1−i3−1+i31111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-1220022001+i321−i321+i321+i321−i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i300-2-2-1-1-1-111111+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i320000000000000000
χ302222-122-1-1-1-2-2−1+i3−1−i31111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-1220022001−i321+i321−i321−i321+i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i300-2-2-1-1-1-111111−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i320000000000000000
χ312222-1-2-2-1-1-12-222-1-11122222211-2-2002200-1-1-1-1-1-1-1-1-2-2-2-2002-211-1-1-1-1112-22-2-1-111-1-11111110000000000000000
χ322222-1-2-2-1-1-12-2−1−i3−1+i3-1-111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i311-2-20022001+i321−i321+i321+i321−i321−i321+i321−i321+i31+i31−i31−i3002-211-1-1-1-111−1−i31+i3−1+i31−i31+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i320000000000000000
χ332222-1-2-2-1-1-12-2−1+i3−1−i3-1-111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i311-2-20022001−i321+i321−i321−i321+i321+i321−i321+i321−i31−i31+i31+i3002-211-1-1-1-111−1+i31−i3−1−i31+i31−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i320000000000000000
χ342222-1-2-2-1-1-1-222211-1-122222211-2-2002200-1-1-1-1-1-1-1-1-2-2-2-200-2211-1-111-1-1-22-2211-1-111-1-111110000000000000000
χ352222-1-2-2-1-1-1-22−1−i3−1+i311-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i311-2-20022001+i321−i321+i321+i321−i321−i321+i321−i321+i31+i31−i31−i300-2211-1-111-1-11+i3−1−i31−i3−1+i3−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i320000000000000000
χ362222-1-2-2-1-1-1-22−1+i3−1−i311-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i311-2-20022001−i321+i321−i321−i321+i321+i321−i321+i321−i31−i31+i31+i300-2211-1-111-1-11−i3−1+i31+i3−1−i3−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i320000000000000000
χ372-2-2222-2-2-2200220000-2-222-2-22-22-2002-20022-2-2-2-2222-22-200002-22-200000000000000002-22-20000000000000000
χ382-2-2222-2-2-2200−1−i3−1+i300001+i31−i3−1−i3−1+i31+i31−i32-22-2002-200−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i300002-22-20000000000000000−1−i31+i3−1+i31−i30000000000000000
χ392-2-2222-2-2-2200−1+i3−1−i300001−i31+i3−1+i3−1−i31−i31+i32-22-2002-200−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3−1+i31−i3−1−i31+i300002-22-20000000000000000−1+i31−i3−1−i31+i30000000000000000
χ402-2-222-22-2-2200220000-2-222-2-2-22-22002-20022-2-2-2-222-22-220000-222-20000000000000000-22-220000000000000000
χ412-2-222-22-2-2200−1−i3−1+i300001+i31−i3−1−i3−1+i31+i31−i3-22-22002-200−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i31+i3−1−i31−i3−1+i30000-222-200000000000000001+i3−1−i31−i3−1+i30000000000000000
χ422-2-222-22-2-2200−1+i3−1−i300001−i31+i3−1+i3−1−i31−i31+i3-22-22002-200−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i31−i3−1+i31+i3−1−i30000-222-200000000000000001−i3−1+i31+i3−1−i30000000000000000
χ432-2-22-12-211-10022−i3i3−i3i3-2-222-2-2-112-2002-200-1-11111-1-12-22-20000-11-11−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-11-110000000000000000
χ442-2-22-12-211-10022i3−i3i3−i3-2-222-2-2-112-2002-200-1-11111-1-12-22-20000-11-11i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-11-110000000000000000
χ452-2-22-12-211-100−1−i3−1+i3−i3i3−i3i31+i31−i3−1−i3−1+i31+i31−i3-112-2002-2001+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i31+i3−1+i31−i30000-11-11−i3i3−i3i30000−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i321+i32−1−i321−i32−1+i320000000000000000
χ462-2-22-12-211-100−1−i3−1+i3i3−i3i3−i31+i31−i3−1−i3−1+i31+i31−i3-112-2002-2001+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i31+i3−1+i31−i30000-11-11i3−i3i3−i300003−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i321+i32−1−i321−i32−1+i320000000000000000
χ472-2-22-12-211-100−1+i3−1−i3−i3i3−i3i31−i31+i3−1+i3−1−i31−i31+i3-112-2002-2001−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i31−i3−1−i31+i30000-11-11−i3i3−i3i300003+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i321−i32−1+i321+i32−1−i320000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.