Finite Group Databasebeta

← Group #72224525

Character table — Group #72224525

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111222333333666666666181818181818181818272727272727272727222444666666121212121212121212363636363636363636545454545454545454333666999999181818181818181818545454545454545454818181818181818181
order133333333333333333333333333333266666666333333333333333333333333333333666666666266666666666666666666666666666266666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ5111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ7222222222222222222222-1-1-1-1-1-1-1-1-1000000000222222222222222222222-1-1-1-1-1-1-1-1-1000000000222222222222222222222-1-1-1-1-1-1-1-1-1000000000
χ8222222222222-1-1-1-1-1-1-1-1-12-1-12-1-12-1-1000000000222222222222-1-1-1-1-1-1-1-1-12-1-12-1-12-1-1000000000222222222222-1-1-1-1-1-1-1-1-12-1-12-1-12-1-1000000000
χ9222222222222-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1000000000222222222222-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1000000000222222222222-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1000000000
χ10222222222222-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12000000000222222222222-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12000000000222222222222-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12000000000
χ11222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000
χ12222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32000000000
χ13222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32000000000
χ14222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3000000000
χ15222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000
χ16222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32000000000
χ17222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32000000000
χ18222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3000000000
χ193−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ203−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000-11−i321+i32-11−i321+i32-11−i321+i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000-11−i321+i32-11−i321+i32-11−i321+i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000-11−i321+i32-11−i321+i32-11−i321+i32
χ213−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i323−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i323−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ223−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000-11−i321+i321−i321+i32-11+i32-11−i323−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000-11−i321+i321−i321+i32-11+i32-11−i323−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000-11−i321+i321−i321+i32-11+i32-11−i32
χ233−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3230000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3213−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3230000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3213−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3230000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ243−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000-11−i321+i321+i32-11−i321−i321+i32-13−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000-11−i321+i321+i32-11−i321−i321+i32-13−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000-11−i321+i321+i32-11−i321−i321+i32-1
χ253−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ263−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000-11+i321−i32-11+i321−i32-11+i321−i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000-11+i321−i32-11+i321−i32-11+i321−i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000-11+i321−i32-11+i321−i32-11+i321−i32
χ273−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3230000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3213−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3230000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3213−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3230000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ283−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000-11+i321−i321−i32-11+i321+i321−i32-13−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000-11+i321−i321−i32-11+i321+i321−i32-13−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000-11+i321−i321−i32-11+i321+i321−i32-1
χ293−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i323−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i323−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ303−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000-11+i321−i321+i321−i32-11−i32-11+i323−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000-11+i321−i321+i321−i32-11−i32-11+i323−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000-11+i321−i321+i321−i32-11−i32-11+i32
χ31666-3-3-30000006-3-3000000000000000000000000666-3-3-30000006-3-3000000000000000000000000666-3-3-30000006-3-3000000000000000000000000
χ32666-3-3-3000000-36-3000000000000000000000000666-3-3-3000000-36-3000000000000000000000000666-3-3-3000000-36-3000000000000000000000000
χ33666-3-3-3000000-3-36000000000000000000000000666-3-3-3000000-3-36000000000000000000000000666-3-3-3000000-3-36000000000000000000000000
χ346−3+3i3−3−3i3-33−3i323+3i320000000003−3+3i32−3−3i323−3+3i32−3−3i320000000000000000006−3+3i3−3−3i3-33−3i323+3i320000000003−3+3i32−3−3i323−3+3i32−3−3i320000000000000000006−3+3i3−3−3i3-33−3i323+3i320000000003−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000
χ356−3+3i3−3−3i3-33−3i323+3i32000000000−3+3i32−3−3i323−3−3i323−3+3i320000000000000000006−3+3i3−3−3i3-33−3i323+3i32000000000−3+3i32−3−3i323−3−3i323−3+3i320000000000000000006−3+3i3−3−3i3-33−3i323+3i32000000000−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000
χ366−3+3i3−3−3i3-33−3i323+3i32000000000−3−3i323−3+3i32−3+3i32−3−3i3230000000000000000006−3+3i3−3−3i3-33−3i323+3i32000000000−3−3i323−3+3i32−3+3i32−3−3i3230000000000000000006−3+3i3−3−3i3-33−3i323+3i32000000000−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000
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Here i is the imaginary unit (i² = −1).