Finite Group Databasebeta

← Group #14519270

Character table — Group #14519270

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size12222222222222366666666666666666666666666666666666666666666666661212242424242424242424242424242424242424242424242424242481243324324
order133339999999992333666666666666699999918181818181818181818181818181818181818181818181818181833333333339999999999999999992266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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
χ41111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i32
χ51111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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
χ61111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32
χ7222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-10000
χ8222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i320000
χ9222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i320000
χ1022222-1-1-1-1-1-1-1-1-122222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ1122222-1-1-1-1-1-1-1-1-122222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000
χ1222222-1-1-1-1-1-1-1-1-122222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000
χ1322222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-10000
χ1422222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i320000
χ1522222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i320000
χ1622222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12220000
χ1722222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222−1+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i30000
χ1822222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222−1−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i30000
χ192-1-1-12222-1-1-1-1-1-122-1-1-1-1-12222-1-1-1-1-1-12-1-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-122-12-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-10000
χ202-1-1-12222-1-1-1-1-1-122-1-1-1-1-12222-1-1-1-1-1-12-1-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1−1+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i320000
χ212-1-1-12222-1-1-1-1-1-122-1-1-1-1-12222-1-1-1-1-1-12-1-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1−1−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i320000
χ222-1-1-12222-1-1-1-1-1-12-12-1-1-1-12-1-1-1222-1-1-1-12-1-12-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-122-1-12-1-1-12-12-1-1-12-1-12-12-1-1-12-1-12-10000
χ232-1-1-12222-1-1-1-1-1-12-12-1-1-1-12-1-1-1222-1-1-1-12-1-12-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1−1+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i31−i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i31+i320000
χ242-1-1-12222-1-1-1-1-1-12-12-1-1-1-12-1-1-1222-1-1-1-12-1-12-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1−1−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i31+i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i31−i320000
χ252-1-1-12222-1-1-1-1-1-12-1-12-1-1-12-1-1-1-1-1-1222-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122222-1-1-12-1-1-122-1-1-1-12-1-122-1-1-1-12-1-120000
χ262-1-1-12222-1-1-1-1-1-12-1-12-1-1-12-1-1-1-1-1-1222-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222−1+i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i30000
χ272-1-1-12222-1-1-1-1-1-12-1-12-1-1-12-1-1-1-1-1-1222-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222−1−i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i30000
χ282-1-1-12-1-1-1222-1-1-122-1-1-1-1-12222-1-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-122222-12-1-1-12-1-1-12-1-12-1-1-12-12-1-12-1-1-120000
χ292-1-1-12-1-1-1222-1-1-122-1-1-1-1-12222-1-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222−1+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i30000
χ302-1-1-12-1-1-1222-1-1-122-1-1-1-1-12222-1-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222−1−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i30000
χ312-1-1-12-1-1-1222-1-1-12-12-1-1-1-12-1-1-1222-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-12-1-1-12-1-12-1-1-122-1-1-12-1-1-122-1-10000
χ322-1-1-12-1-1-1222-1-1-12-12-1-1-1-12-1-1-1222-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1−1+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i320000
χ332-1-1-12-1-1-1222-1-1-12-12-1-1-1-12-1-1-1222-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1−1−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i320000
χ342-1-1-12-1-1-1222-1-1-12-1-12-1-1-12-1-1-1-1-1-12222-1-1-12-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-122-1-1-12-1-1-12-12-12-1-1-12-1-12-12-1-1-12-10000
χ352-1-1-12-1-1-1222-1-1-12-1-12-1-1-12-1-1-1-1-1-12222-1-1-12-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1−1+i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i32−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321+i32−1−i31+i32−1−i31+i321+i321+i32−1−i31+i320000
χ362-1-1-12-1-1-1222-1-1-12-1-12-1-1-12-1-1-1-1-1-12222-1-1-12-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1−1−i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i32−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321−i32−1+i31−i32−1+i31−i321−i321−i32−1+i31−i320000
χ372-1-1-12-1-1-1-1-1-122222-1-1-1-1-12222-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-122-12-1-1-12-1-1-1-12-1-12-12-1-1-12-1-12-12-10000
χ382-1-1-12-1-1-1-1-1-122222-1-1-1-1-12222-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1−1+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i321−i32−1+i31−i321−i32−1+i31−i32−1+i31−i321+i321+i32−1−i31+i321+i32−1−i31+i32−1−i31+i320000
χ392-1-1-12-1-1-1-1-1-122222-1-1-1-1-12222-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1−1−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i321+i32−1−i31+i321+i32−1−i31+i32−1−i31+i321−i321−i32−1+i31−i321−i32−1+i31−i32−1+i31−i320000
χ402-1-1-12-1-1-1-1-1-12222-12-1-1-1-12-1-1-1222-1-1-12-1-1-1-12-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-12-1-1-12-1-1-122-1-1-1-12-1-122-1-1-1-120000
χ412-1-1-12-1-1-1-1-1-12222-12-1-1-1-12-1-1-1222-1-1-12-1-1-1-12-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222−1+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i30000
χ422-1-1-12-1-1-1-1-1-12222-12-1-1-1-12-1-1-1222-1-1-12-1-1-1-12-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222−1−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i30000
χ432-1-1-12-1-1-1-1-1-12222-1-12-1-1-12-1-1-1-1-1-1222-12-12-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-12-1-12-12-12-1-1-1-12-12-12-1-10000
χ442-1-1-12-1-1-1-1-1-12222-1-12-1-1-12-1-1-1-1-1-1222-12-12-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1−1+i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i320000
χ452-1-1-12-1-1-1-1-1-12222-1-12-1-1-12-1-1-1-1-1-1222-12-12-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1−1−i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i320000
χ4633333333333333-1333-1-1-1-1-1-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000003-100
χ4733333333333333-1333-1-1-1-1-1-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-3100
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χ926-3-3-36-3-3-3666-3-3-3-2-36-3111-2111-2-2-2111-3-366-3-3111-2-2-2111111111-2-2-2-2-2-211111100000000000000000000000000000000
χ936-3-3-36-3-3-3666-3-3-3-2-3-36111-2111111-2-2-26-3-3-36-3111-2-2-2111-2-2-2111111111-2-2-211100000000000000000000000000000000
χ946-3-3-36-3-3-3-3-3-3666-26-3-3111-2-2-2-2111111-3-36-36-3111111-2-2-2111111-2-2-2111-2-2-211100000000000000000000000000000000
χ956-3-3-36-3-3-3-3-3-3666-2-36-3111-2111-2-2-21116-3-3-3-36111111-2-2-2-2-2-2111111111111-2-2-200000000000000000000000000000000
χ966-3-3-36-3-3-3-3-3-3666-2-3-36111-2111111-2-2-2-36-36-3-3111111-2-2-2111-2-2-2111-2-2-211111100000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.