Finite Group Databasebeta

← Group #10630695

Character table — Group #10630695

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111111111222222222222222222444444444444888888888888888888888888888888888888161616161616161616161616161616161616161616161616
order12223366666644444412121212121212121212121288882424242424242424888816161616161616162424242424242424484848484848484848484848484848484444888812121212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-111-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-111-1-1111111-1-1-1-1
χ911111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1i−ii−i1111-1-1-1-1ii−i−iii−i−i
χ1011111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−ii−ii-1-1-1-11111−i−iii−i−iii
χ1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii
χ1211111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-111-1−iii−i-1-11111-1-1−i−iiiii−i−i
χ1311111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−ii−ii1111-1-1-1-1−i−iii−i−iii
χ1411111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111i−ii−i-1-1-1-11111ii−i−iii−i−i
χ1511111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i
χ1611111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii
χ171111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111−1−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+i32−1−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+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
χ181111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111−1−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+i32−1−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+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32
χ191111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111−1−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+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321-11-111-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ201111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111−1−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+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-11-11-1-1111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ211111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111−1−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+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+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+i321+i321−i321+i321−i321+i321−i321+i321−i32
χ221111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111−1−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+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ231111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111−1−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+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-111111+i321+i321−i321−i321+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+i321-11-1-1-111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ241111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111−1−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+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-111111+i321+i321−i321−i321+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+i32-11-1111-1-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ251111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ii−i−i11-1-1ii−i−iζ22ζ22ζ14ζ14−ζ22−ζ22−ζ14−ζ14−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ22ζ22ζ14ζ14−ζ22−ζ22−ζ14−ζ1411-1-1i−ii−i−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32ζ22ζ14−ζ22−ζ14ζ22ζ14−ζ22−ζ14
χ261111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ii−i−i11-1-1ii−i−iζ22ζ22ζ14ζ14−ζ22−ζ22−ζ14−ζ14−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ22ζ22ζ14ζ14−ζ22−ζ22−ζ14−ζ14-1-111−ii−ii1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−ζ22−ζ14ζ22ζ14−ζ22−ζ14ζ22ζ14
χ271111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ii−i−i-1-111−i−iiiζ22ζ22ζ14ζ14−ζ22−ζ22−ζ14−ζ141+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ22−ζ22−ζ14−ζ14ζ22ζ22ζ14ζ141-1-11i−i−ii−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32ζ22ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14
χ281111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ii−i−i-1-111−i−iiiζ22ζ22ζ14ζ14−ζ22−ζ22−ζ14−ζ141+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ22−ζ22−ζ14−ζ14ζ22ζ22ζ14ζ14-111-1−iii−i1+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−ζ22−ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14
χ291111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−i−iii11-1-1−i−iii−ζ22−ζ22−ζ14−ζ14ζ22ζ22ζ14ζ14−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−ζ22−ζ22−ζ14−ζ14ζ22ζ22ζ14ζ1411-1-1−ii−ii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−ζ22−ζ14ζ22ζ14−ζ22−ζ14ζ22ζ14
χ301111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−i−iii11-1-1−i−iii−ζ22−ζ22−ζ14−ζ14ζ22ζ22ζ14ζ14−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−ζ22−ζ22−ζ14−ζ14ζ22ζ22ζ14ζ14-1-111i−ii−i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32ζ22ζ14−ζ22−ζ14ζ22ζ14−ζ22−ζ14
χ311111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−i−iii-1-111ii−i−i−ζ22−ζ22−ζ14−ζ14ζ22ζ22ζ14ζ141+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ22ζ22ζ14ζ14−ζ22−ζ22−ζ14−ζ141-1-11−iii−i−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−ζ22−ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14
χ321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−i−iii-1-111ii−i−i−ζ22−ζ22−ζ14−ζ14ζ22ζ22ζ14ζ141+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ22ζ22ζ14ζ14−ζ22−ζ22−ζ14−ζ14-111-1i−i−ii1+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32ζ22ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14
χ331111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111−1+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−i32−1+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−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
χ341111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111−1+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−i32−1+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−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32
χ351111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111−1+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−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321-11-111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ361111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111−1+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−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-11-11-1-1111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ371111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111−1+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−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−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−i321−i321+i321−i321+i321−i321+i321−i321+i32
χ381111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111−1+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−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ391111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111−1+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−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-111111−i321−i321+i321+i321−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−i321-11-1-1-111−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ401111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111−1+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−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-111111−i321−i321+i321+i321−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−i32-11-1111-1-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ411111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ii−i−i11-1-1ii−i−iζ14ζ14ζ22ζ22−ζ14−ζ14−ζ22−ζ22−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζ14ζ14ζ22ζ22−ζ14−ζ14−ζ22−ζ2211-1-1i−ii−i−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32ζ14ζ22−ζ14−ζ22ζ14ζ22−ζ14−ζ22
χ421111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ii−i−i11-1-1ii−i−iζ14ζ14ζ22ζ22−ζ14−ζ14−ζ22−ζ22−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζ14ζ14ζ22ζ22−ζ14−ζ14−ζ22−ζ22-1-111−ii−ii1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−ζ14−ζ22ζ14ζ22−ζ14−ζ22ζ14ζ22
χ431111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ii−i−i-1-111−i−iiiζ14ζ14ζ22ζ22−ζ14−ζ14−ζ22−ζ221−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−ζ14−ζ14−ζ22−ζ22ζ14ζ14ζ22ζ221-1-11i−i−ii−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32ζ14ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22
χ441111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ii−i−i-1-111−i−iiiζ14ζ14ζ22ζ22−ζ14−ζ14−ζ22−ζ221−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−ζ14−ζ14−ζ22−ζ22ζ14ζ14ζ22ζ22-111-1−iii−i1−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−ζ14−ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22
χ451111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−i−iii11-1-1−i−iii−ζ14−ζ14−ζ22−ζ22ζ14ζ14ζ22ζ22−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−ζ14−ζ14−ζ22−ζ22ζ14ζ14ζ22ζ2211-1-1−ii−ii−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−ζ14−ζ22ζ14ζ22−ζ14−ζ22ζ14ζ22
χ461111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−i−iii11-1-1−i−iii−ζ14−ζ14−ζ22−ζ22ζ14ζ14ζ22ζ22−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−ζ14−ζ14−ζ22−ζ22ζ14ζ14ζ22ζ22-1-111i−ii−i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32ζ14ζ22−ζ14−ζ22ζ14ζ22−ζ14−ζ22
χ471111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−i−iii-1-111ii−i−i−ζ14−ζ14−ζ22−ζ22ζ14ζ14ζ22ζ221−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ14ζ14ζ22ζ22−ζ14−ζ14−ζ22−ζ221-1-11−iii−i−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−ζ14−ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22
χ481111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−i−iii-1-111ii−i−i−ζ14−ζ14−ζ22−ζ22ζ14ζ14ζ22ζ221−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ14ζ14ζ22ζ22−ζ14−ζ14−ζ22−ζ22-111-1i−i−ii1−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32ζ14ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22
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χ9888-8-8−4−4i3−4+4i3−4−4i34+4i3−4+4i34−4i34+4i34−4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1018-88-8−4−4i3−4+4i34+4i3−4−4i34−4i3−4+4i34+4i34−4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8−4+4i3−4−4i34−4i3−4+4i34+4i3−4−4i34−4i34+4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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