Finite Group Databasebeta

← Group #14519224

Character table — Group #14519224

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size122222222222223333366666666666666666666666666666666666666666666666242424242424242424242424242424242424242424242424242424162162162162162162
order13333333333333233663333333366666666666666666666666666666666666666699999999999999999999999999924661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ3111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111−1+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−i32111111111−1+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
χ4111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111−1+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−i32111111111−1+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+i321−i321+i32
χ5111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111−1−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+i32111111111−1−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
χ6111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111−1−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+i32111111111−1−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−i321+i321−i32
χ7222222222222222222222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000
χ8222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32222222222222−1+i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000
χ9222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32222222222222−1−i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000
χ102222-1-1-1-1-1-1-1-1-12222222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1000000
χ112222-1-1-1-1-1-1-1-1-12222222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1000000
χ122222-1-1-1-1-1-1-1-1-12222222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222000000
χ132222-1-1-1-1-1-1-1-1-122−1+i3−1−i3−1+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i32222-1-1-1-1-1-1-1-1-12−1+i3−1−i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32222-1-1-1-1-1-1−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000
χ142222-1-1-1-1-1-1-1-1-122−1+i3−1−i3−1+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i32222-1-1-1-1-1-1-1-1-12−1+i3−1−i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1222-1-1-11−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32000000
χ152222-1-1-1-1-1-1-1-1-122−1+i3−1−i3−1+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i32222-1-1-1-1-1-1-1-1-12−1+i3−1−i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-12221−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3000000
χ162222-1-1-1-1-1-1-1-1-122−1−i3−1+i3−1−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i32222-1-1-1-1-1-1-1-1-12−1−i3−1+i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32222-1-1-1-1-1-1−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ172222-1-1-1-1-1-1-1-1-122−1−i3−1+i3−1−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i32222-1-1-1-1-1-1-1-1-12−1−i3−1+i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1222-1-1-11+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32000000
χ182222-1-1-1-1-1-1-1-1-122−1−i3−1+i3−1−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i32222-1-1-1-1-1-1-1-1-12−1−i3−1+i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-12221+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3000000
χ192-1-1-1222-1-1-1-1-1-1222222-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-1000000
χ202-1-1-1222-1-1-1-1-1-1222222-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1000000
χ212-1-1-1222-1-1-1-1-1-1222222-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12000000
χ222-1-1-1222-1-1-1-1-1-122−1+i3−1−i3−1+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i32-1-1-1222-1-1-1-1-1-12−1+i3−1−i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i322-1-12-1-12-1-1−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32000000
χ232-1-1-1222-1-1-1-1-1-122−1+i3−1−i3−1+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i32-1-1-1222-1-1-1-1-1-12−1+i3−1−i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32-12-1-12-1-12-11−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i32000000
χ242-1-1-1222-1-1-1-1-1-122−1+i3−1−i3−1+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i32-1-1-1222-1-1-1-1-1-12−1+i3−1−i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32-1-12-1-12-1-121−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i3000000
χ252-1-1-1222-1-1-1-1-1-122−1−i3−1+i3−1−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i32-1-1-1222-1-1-1-1-1-12−1−i3−1+i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i322-1-12-1-12-1-1−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32000000
χ262-1-1-1222-1-1-1-1-1-122−1−i3−1+i3−1−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i32-1-1-1222-1-1-1-1-1-12−1−i3−1+i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32-12-1-12-1-12-11+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i32000000
χ272-1-1-1222-1-1-1-1-1-122−1−i3−1+i3−1−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i32-1-1-1222-1-1-1-1-1-12−1−i3−1+i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32-1-12-1-12-1-121+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i3000000
χ282-1-1-1-1-1-1222-1-1-1222222-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12000000
χ292-1-1-1-1-1-1222-1-1-1222222-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-1000000
χ302-1-1-1-1-1-1222-1-1-1222222-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1000000
χ312-1-1-1-1-1-1222-1-1-122−1+i3−1−i3−1+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i32-1-1-1-1-1-1222-1-1-12−1+i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i322-1-1-12-1-1-12−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3000000
χ322-1-1-1-1-1-1222-1-1-122−1+i3−1−i3−1+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i32-1-1-1-1-1-1222-1-1-12−1+i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32-12-1-1-122-1-11−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i32000000
χ332-1-1-1-1-1-1222-1-1-122−1+i3−1−i3−1+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i32-1-1-1-1-1-1222-1-1-12−1+i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32-1-122-1-1-12-11−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32000000
χ342-1-1-1-1-1-1222-1-1-122−1−i3−1+i3−1−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i32-1-1-1-1-1-1222-1-1-12−1−i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i322-1-1-12-1-1-12−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3000000
χ352-1-1-1-1-1-1222-1-1-122−1−i3−1+i3−1−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i32-1-1-1-1-1-1222-1-1-12−1−i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32-12-1-1-122-1-11+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i32000000
χ362-1-1-1-1-1-1222-1-1-122−1−i3−1+i3−1−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i32-1-1-1-1-1-1222-1-1-12−1−i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32-1-122-1-1-12-11+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32000000
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χ936-3-3-3666-3-3-3-3-3-36-2−3−3i3−3+3i31+i31−i33+3i32−3−3i33+3i323+3i323−3i32−3+3i33−3i323−3i32111-2-2-2111111-21+i31−i3−1−i32−1−i32−1−i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000000000000
χ946-3-3-3-3-3-3666-3-3-36-266-2-2-3-36-3-3-36-3111111-2-2-2111-2-2-2111111-2-2-2111111111-2-2-2111000000000000000000000000000000000
χ956-3-3-3-3-3-3666-3-3-36-2−3+3i3−3−3i31−i31+i33−3i323−3i32−3+3i33−3i323+3i323+3i32−3−3i33+3i32111111-2-2-2111-21−i31+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i3−1−i32−1−i32−1−i32000000000000000000000000000000000
χ966-3-3-3-3-3-3666-3-3-36-2−3−3i3−3+3i31+i31−i33+3i323+3i32−3−3i33+3i323−3i323−3i32−3+3i33−3i32111111-2-2-2111-21+i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i3−1+i32−1+i32−1+i32000000000000000000000000000000000
χ976-3-3-3-3-3-3-3-3-36666-266-2-2-3-3-36-3-3-36111111111-2-2-2-2-2-2111111111-2-2-2111111111-2-2-2000000000000000000000000000000000
χ986-3-3-3-3-3-3-3-3-36666-2−3+3i3−3−3i31−i31+i33−3i323−3i323−3i32−3+3i33+3i323+3i323+3i32−3−3i3111111111-2-2-2-21−i31+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i3000000000000000000000000000000000
χ996-3-3-3-3-3-3-3-3-36666-2−3−3i3−3+3i31+i31−i33+3i323+3i323+3i32−3−3i33−3i323−3i323−3i32−3+3i3111111111-2-2-2-21+i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i3000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).