Finite Group Databasebeta

← Group #11922565

Character table — Group #11922565

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11111111444444444444444444444444444444446666666616161616161616161616161616161616161616161616161616161616161616161818181824242424242424242424242424242424
order1244888833336666121212121212121224242424242424242424242424242424224488883333666612121212121212122424242424242424242424242424242424886666121212122424242424242424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111−1−i32−1+i3211−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−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+i32−1+i32−1+i32−1+i32111111−1−i32−1+i3211−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32
χ31111111111−1+i32−1−i3211−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+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−i32−1−i32−1−i32−1−i32111111−1+i32−1−i3211−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32
χ411111111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111111−1−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+i32−1+i32−1+i32−1+i321111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111
χ511111111−1−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+i32−1+i32−1+i32−1+i3211111111−1+i3211−1−i32−1+i3211−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i321111−1−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
χ611111111−1−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−i32−1−i32−1−i32−1−i32111111111−1−i32−1+i3211−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−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
χ711111111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+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−i32−1−i32−1−i32−1−i321111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111
χ811111111−1+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+i32−1+i32−1+i32−1+i32111111111−1+i32−1−i3211−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+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
χ911111111−1+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−i32−1−i32−1−i32−1−i3211111111−1−i3211−1+i32−1−i3211−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i321111−1+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
χ101111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ111111-1-1-1-111−1−i32−1+i3211−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i3211-1-111−1−i32−1+i3211−1−i32−1+i32-1-1-1-11+i321+i321−i321−i32
χ121111-1-1-1-111−1+i32−1−i3211−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i3211-1-111−1+i32−1−i3211−1+i32−1−i32-1-1-1-11−i321−i321+i321+i32
χ131111-1-1-1-1−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1+i3211−1−i32−1+i32111+i321+i321−i321−i32-1-1-1-1
χ141111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1+i3211−1−i32−1+i3211−1−i32−1+i32−1+i321111−1−i32−1−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i3211-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ151111-1-1-1-1−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-11−1−i32−1+i3211−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111-1-1−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i321+i321+i321−i321−i321−i321−i321+i321+i32
χ161111-1-1-1-1−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1−i3211−1+i32−1−i32111−i321−i321+i321+i32-1-1-1-1
χ171111-1-1-1-1−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-11−1+i32−1−i3211−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111-1-1−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i321−i321−i321+i321+i321+i321+i321−i321−i32
χ181111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1−i3211−1+i32−1−i3211−1+i32−1−i32−1−i321111−1+i32−1+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i3211-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32
χ1911-1-1ii−i−i11111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-111ii−i−i11111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1-1i−i-1-1-1-11111i−ii−ii−ii−i
χ2011-1-1ii−i−i11−1−i32−1+i3211−1−i32−1+i32-1-1-1-11+i321+i321−i321−i32ii−i−iii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-1-111ii−i−i−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141-1i−i-1-11+i321−i3211−1−i32−1+i32i−ii−iζ22−ζ22ζ14−ζ14
χ2111-1-1ii−i−i11−1+i32−1−i3211−1+i32−1−i32-1-1-1-11−i321−i321+i321+i32ii−i−iii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-1-111ii−i−i−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221-1i−i-1-11−i321+i3211−1+i32−1−i32i−ii−iζ14−ζ14ζ22−ζ22
χ2211-1-1ii−i−i−1−i32−1+i3211−1−i32−1+i32111+i321+i321−i321−i32-1-1-1-1ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ii−i−iii−i−i-1-111ii−i−i−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141-1i−i1+i321−i32-1-1−1−i32−1+i3211ζ22−ζ22ζ14−ζ14i−ii−i
χ2311-1-1ii−i−i−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-1-111ii−i−i−1+i3211−1−i32−1+i3211−1−i321−i321−i32-1-1-1-11+i321+i32ζ14ζ14−ζ14−ζ14ii−i−iii−i−iζ22ζ22−ζ22−ζ221-1i−i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14ζ22−ζ22ζ14−ζ14
χ2411-1-1ii−i−i−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i321+i321+i321−i321−i321−i321−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-1-111ii−i−i1−1−i32−1+i3211−1−i32−1+i321-1-11+i321+i321−i321−i32-1-1ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ii−i−i1-1i−i1+i321−i321−i321+i32−1−i32−1+i32−1+i32−1−i32ζ22−ζ22ζ14−ζ14ζ14−ζ14ζ22−ζ22
χ2511-1-1ii−i−i−1+i32−1−i3211−1+i32−1−i32111−i321−i321+i321+i32-1-1-1-1ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ii−i−iii−i−i-1-111ii−i−i−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221-1i−i1−i321+i32-1-1−1+i32−1−i3211ζ14−ζ14ζ22−ζ22i−ii−i
χ2611-1-1ii−i−i−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i321−i321−i321+i321+i321+i321+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-1-111ii−i−i1−1+i32−1−i3211−1+i32−1−i321-1-11−i321−i321+i321+i32-1-1ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ii−i−i1-1i−i1−i321+i321+i321−i32−1+i32−1−i32−1−i32−1+i32ζ14−ζ14ζ22−ζ22ζ22−ζ22ζ14−ζ14
χ2711-1-1ii−i−i−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-1-111ii−i−i−1−i3211−1+i32−1−i3211−1+i321+i321+i32-1-1-1-11−i321−i32ζ22ζ22−ζ22−ζ22ii−i−iii−i−iζ14ζ14−ζ14−ζ141-1i−i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22ζ14−ζ14ζ22−ζ22
χ2811-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-111−i−iii11111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii1-1−ii-1-1-1-11111−ii−ii−ii−ii
χ2911-1-1−i−iii11−1−i32−1+i3211−1−i32−1+i32-1-1-1-11+i321+i321−i321−i32−i−iii−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14-1-111−i−iii−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141-1−ii-1-11+i321−i3211−1−i32−1+i32−ii−ii−ζ22ζ22−ζ14ζ14
χ3011-1-1−i−iii11−1+i32−1−i3211−1+i32−1−i32-1-1-1-11−i321−i321+i321+i32−i−iii−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22-1-111−i−iii−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221-1−ii-1-11−i321+i3211−1+i32−1−i32−ii−ii−ζ14ζ14−ζ22ζ22
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χ744-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ131+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i32ζ22−2ζ222ζ14−2ζ142ζ22−2ζ222ζ14−2ζ142ζ7−2ζ7−2ζ132ζ132ζ23−2ζ23−2ζ52ζ52ζ7−2ζ7−2ζ132ζ132ζ23−2ζ23−2ζ52ζ500000000−1+i3211−1−i321−i32-1-11+i32ζ14−ζ14i−ii−iζ22−ζ22ζ23−ζ23−ζ5ζ5−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ7−ζ13ζ1300000000000000000000
χ754-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ131+i31−i31−i31+i3−1−i3−1+i3−1+i3−1−i32ζ22−2ζ222ζ14−2ζ142ζ14−2ζ142ζ22−2ζ222ζ7−2ζ7−2ζ132ζ132ζ23−2ζ23−2ζ52ζ52ζ23−2ζ23−2ζ52ζ52ζ7−2ζ7−2ζ132ζ13000000001−1−i32−1+i321-11+i321−i32-1i−iζ22−ζ22ζ14−ζ14i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000000000000000
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χ774-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ131−i31+i31+i31−i3−1+i3−1−i3−1−i3−1+i32ζ14−2ζ142ζ22−2ζ222ζ22−2ζ222ζ14−2ζ142ζ23−2ζ23−2ζ52ζ52ζ7−2ζ7−2ζ132ζ132ζ7−2ζ7−2ζ132ζ132ζ23−2ζ23−2ζ52ζ5000000001−1+i32−1−i321-11−i321+i32-1i−iζ14−ζ14ζ22−ζ22i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000000000000000
χ784-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ131−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i32ζ14−2ζ142ζ22−2ζ222ζ14−2ζ142ζ22−2ζ222ζ23−2ζ23−2ζ52ζ52ζ7−2ζ7−2ζ132ζ132ζ23−2ζ23−2ζ52ζ52ζ7−2ζ7−2ζ132ζ1300000000−1−i3211−1+i321+i32-1-11−i32ζ22−ζ22i−ii−iζ14−ζ14ζ7−ζ7−ζ13ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ23−ζ23−ζ5ζ500000000000000000000
χ794-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-2-2-2-22222−2i2i−2i2i−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000001111-1-1-1-1−ii−ii−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000000000000000
χ804-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-2-21+i31−i322−1−i3−1+i3−2i2i−2i2i−2ζ222ζ22−2ζ142ζ14−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ2300000000−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14ζ13−ζ13−ζ7ζ7ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23ζ5−ζ5−ζ23ζ2300000000000000000000
χ814-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-2-21−i31+i322−1+i3−1−i3−2i2i−2i2i−2ζ142ζ14−2ζ222ζ22−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ700000000−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22ζ5−ζ5−ζ23ζ23ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7ζ13−ζ13−ζ7ζ700000000000000000000
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χ834-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ231+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3−2ζ222ζ22−2ζ142ζ14−2ζ222ζ22−2ζ142ζ142ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ2300000000−1+i3211−1−i321−i32-1-11+i32−ζ14ζ14−ii−ii−ζ22ζ22ζ5−ζ5−ζ23ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ13−ζ13−ζ7ζ700000000000000000000
χ844-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ231+i31−i31−i31+i3−1−i3−1+i3−1+i3−1−i3−2ζ222ζ22−2ζ142ζ14−2ζ142ζ14−2ζ222ζ222ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ232ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ7000000001−1−i32−1+i321-11+i321−i32-1−ii−ζ22ζ22−ζ14ζ14−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000000000000000
χ854-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ231−i31+i3-2-2−1+i3−1−i322−2ζ142ζ14−2ζ222ζ22−2i2i−2i2i2ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ7−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−ζ14ζ14−ζ22ζ22−ζ14ζ14−ζ22ζ22ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ700000000000000000000
χ864-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ231−i31+i31+i31−i3−1+i3−1−i3−1−i3−1+i3−2ζ142ζ14−2ζ222ζ22−2ζ222ζ22−2ζ142ζ142ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ72ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ23000000001−1+i32−1−i321-11−i321+i32-1−ii−ζ14ζ14−ζ22ζ22−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000000000000000
χ874-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ231−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3−2ζ142ζ14−2ζ222ζ22−2ζ142ζ14−2ζ222ζ222ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ700000000−1−i3211−1+i321+i32-1-11−i32−ζ22ζ22−ii−ii−ζ14ζ14ζ13−ζ13−ζ7ζ7−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5−ζ5−ζ23ζ2300000000000000000000
χ884-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-2-2-2-22222−2i2i−2i2i−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000001111-1-1-1-1−ii−ii−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000000000000000
χ894-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-2-21+i31−i322−1−i3−1+i3−2i2i−2i2i−2ζ222ζ22−2ζ142ζ142ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ2300000000−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14−ζ13ζ13ζ7−ζ7−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23−ζ5ζ5ζ23−ζ2300000000000000000000
χ904-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-2-21−i31+i322−1+i3−1−i3−2i2i−2i2i−2ζ142ζ14−2ζ222ζ222ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ700000000−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22−ζ5ζ5ζ23−ζ23−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7−ζ13ζ13ζ7−ζ700000000000000000000
χ914-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ231+i31−i3-2-2−1−i3−1+i322−2ζ222ζ22−2ζ142ζ14−2i2i−2i2i−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−ζ22ζ22−ζ14ζ14−ζ22ζ22−ζ14ζ14−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ2300000000000000000000
χ924-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ231+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3−2ζ222ζ22−2ζ142ζ14−2ζ222ζ22−2ζ142ζ14−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ2300000000−1+i3211−1−i321−i32-1-11+i32−ζ14ζ14−ii−ii−ζ22ζ22−ζ5ζ5ζ23−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ13ζ13ζ7−ζ700000000000000000000
χ934-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ231+i31−i31−i31+i3−1−i3−1+i3−1+i3−1−i3−2ζ222ζ22−2ζ142ζ14−2ζ142ζ14−2ζ222ζ22−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ23−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ7000000001−1−i32−1+i321-11+i321−i32-1−ii−ζ22ζ22−ζ14ζ14−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000000000000000
χ944-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ231−i31+i3-2-2−1+i3−1−i322−2ζ142ζ14−2ζ222ζ22−2i2i−2i2i−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ72ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−ζ14ζ14−ζ22ζ22−ζ14ζ14−ζ22ζ22−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ700000000000000000000
χ954-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ231−i31+i31+i31−i3−1+i3−1−i3−1−i3−1+i3−2ζ142ζ14−2ζ222ζ22−2ζ222ζ22−2ζ142ζ14−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ7−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ23000000001−1+i32−1−i321-11−i321+i32-1−ii−ζ14ζ14−ζ22ζ22−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000000000000000
χ964-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ231−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3−2ζ142ζ14−2ζ222ζ22−2ζ142ζ14−2ζ222ζ22−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ700000000−1−i3211−1+i321+i32-1-11−i32−ζ22ζ22−ii−ii−ζ14ζ14−ζ13ζ13ζ7−ζ7ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5ζ5ζ23−ζ2300000000000000000000
χ979999999900000000000000000000000000000000-3-3-3-3-3-3-3-30000000000000000000000000000000011110000000000000000
χ989999-9-9-9-900000000000000000000000000000000-3-3-3-333330000000000000000000000000000000011-1-10000000000000000
χ9999-9-99i9i−9i−9i0000000000000000000000000000000033-3-3−3i−3i3i3i000000000000000000000000000000001-1i−i0000000000000000
χ10099-9-9−9i−9i9i9i0000000000000000000000000000000033-3-33i3i−3i−3i000000000000000000000000000000001-1−ii0000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.