Finite Group Databasebeta

← Group #10595552

Character table — Group #10595552

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111222222222333333444444444444444444666666666888888888888888888121212121212161616161616161616161616
order123366488121224242424226666223333336666666666488121224242424121212121212242424242424242424242424226666666666666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−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+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ311111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+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−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4111111111111111111111-1-1111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5111111111111111111111-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1−1−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+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ6111111111111111111111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1−1+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−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ71111111-1-111-1-1-1-11111111-111111111-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-1-1111-1-1-1
χ81111111-1-111-1-1-1-11111111-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321-111-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ91111111-1-111-1-1-1-11111111-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321-111-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ101111111-1-111-1-1-1-1111111-11111111-1-1111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1111-1-1-1111
χ111111111-1-111-1-1-1-1111111-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-11-1-1111+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ121111111-1-111-1-1-1-1111111-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-11-1-1111−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ1311−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ1411−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32
χ1511−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321
χ1611−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11−1−i32−1+i321−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32
χ1711−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1−1−i32−1+i321−1+i321−1−i321+i321−i321+i321−i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32-1-11+i321−i321+i321−i321+i321−i32-11+i321−i32-11−i32-11+i321−i32-11+i32
χ1811−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1−1+i321−1−i32−1−i32−1+i3211+i321−i321+i321−i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321−i321+i321−i321−i32-11+i321−i32-11+i321+i321−i32-11+i321−i32-1
χ1911−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321+i321−i321−1−i32−1+i321−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32
χ2011−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321-1−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321+i321−i32−1−i32−1+i321−1+i321−1−i321-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321-1−1−i32−1+i321+i321−i32−1−i32−1+i3211+i321−i32-1−1+i321−1−i321−i32-11+i32
χ2111−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321-1−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321+i321−i32−1+i321−1−i32−1−i32−1+i3211-1-1−1−i32−1+i321+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11-1−1−i32−1+i321+i321−i32−1+i321−1−i321−i32-11+i32−1−i32−1+i3211+i321−i32-1
χ2211−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-111−1−i32−1+i321−1−i32−1+i321+i321−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32
χ2311−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-11−1−i32−1+i321−1+i321−1−i321+i321−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32-111+i321−i32−1−i32−1+i321+i321−i32-1−1−i32−1+i3211−i32-11+i32−1+i321−1−i32
χ2411−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-11−1+i321−1−i32−1−i32−1+i3211+i321−i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211-1-1−1−i32−1+i321+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-1-111+i321−i32−1−i32−1+i321−i32-11+i32−1+i321−1−i321+i321−i32-1−1−i32−1+i321
χ2511−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ2611−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321
χ2711−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32
χ2811−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−1+i32−1−i321−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32
χ2911−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1−1−i321−1+i32−1+i32−1−i3211−i321+i321−i321+i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321+i321−i321+i321+i32-11−i321+i32-11−i321−i321+i32-11−i321+i32-1
χ3011−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1−1+i32−1−i321−1−i321−1+i321−i321+i321−i321+i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32-1-11−i321+i321−i321+i321−i321+i32-11−i321+i32-11+i32-11−i321+i32-11−i32
χ3111−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−i321+i321−1+i32−1−i321−1+i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32
χ3211−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321-1−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−i321+i32−1−i321−1+i32−1+i32−1−i3211-1-1−1+i32−1−i321−i321−i321+i321+i32−1−i321−1+i32−1+i32−1−i3211+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-11-1−1+i32−1−i321−i321+i32−1−i321−1+i321+i32-11−i32−1+i32−1−i3211−i321+i32-1
χ3311−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321-1−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−1−i321−1+i321-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−1−i321−1+i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i321-1−1+i32−1−i321−i321+i32−1+i32−1−i3211−i321+i32-1−1−i321−1+i321+i32-11−i32
χ3411−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-111−1+i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32
χ3511−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-11−1−i321−1+i32−1+i32−1−i3211−i321+i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211-1-1−1+i32−1−i321−i321−i321+i321+i32−1−i321−1+i32−1+i32−1−i3211+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-1-111−i321+i32−1+i32−1−i321+i32-11−i32−1−i321−1+i321−i321+i32-1−1+i32−1−i321
χ3611−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-11−1+i32−1−i321−1−i321−1+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−1−i321−1+i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i32-111−i321+i32−1+i32−1−i321−i321+i32-1−1+i32−1−i3211+i32-11−i32−1−i321−1+i32
χ37222222-200-2-20000222222002222220000222222-200-2-20000-2-2-2-2-2-2000000000000000000000000000000
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χ4022−1−i3−1+i3−1−i3−1+i3-2001+i31−i3000022−1−i3−1−i3−1+i3−1+i3002−1−i3−1+i32−1−i3−1+i300002−1−i3−1+i32−1−i3−1+i3-2001+i31−i30000-21+i31−i3-21+i31−i3000000000000000000000000000000
χ4122−1−i3−1+i3−1−i3−1+i3-2001+i31−i3000022−1−i3−1−i3−1+i3−1+i300−1−i3−1+i32−1+i32−1−i30000−1−i3−1+i32−1+i32−1−i3-2001+i31−i300001+i31−i3-21−i3-21+i3000000000000000000000000000000
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χ4422−1+i3−1−i3−1+i3−1−i3-2001−i31+i3000022−1+i3−1+i3−1−i3−1−i300−1−i32−1+i3−1+i3−1−i320000−1−i32−1+i3−1+i3−1−i32-2001−i31+i300001+i3-21−i31−i31+i3-2000000000000000000000000000000
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χ472-222-2-202−2002−22−22-22-22-200−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300001+i31+i31+i31−i31−i31−i302−2002−22−2000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23000000000000000000
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χ522-2−1−i3−1+i31+i31−i302−200−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ232-2−1−i31+i3−1+i31−i3002−1−i3−1+i32−1−i3−1+i30000-21+i31−i3-21+i31−i302−200−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ230000002−2−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ232−2−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23000000000000000000
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χ572-2−1−i3−1+i31+i31−i30−2200ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ232-2−1−i31+i3−1+i31−i300−1+i32−1−i3−1−i3−1+i3200001−i3-21+i31+i31−i3-20−2200ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23000000−ζ5+ζ23ζ5−ζ23−22ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23−22000000000000000000
χ582-2−1+i3−1−i31−i31+i302−200ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ132-2−1+i31−i3−1−i31+i3002−1+i3−1−i32−1+i3−1−i30000-21−i31+i3-21−i31+i302−200ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ130000002−2ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ132−2ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13000000000000000000
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χ6833−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-1-11+i321+i321−i321−i3233000000−3−3i32−3+3i32−3−3i32−3+3i32000000-1-1-11+i321−i321+i321+i321−i321−i32000000000000000000-1-11+i321−i321+i321−i32000000000000
χ6933−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-1-11+i321+i321−i321−i32-3-30000003+3i323−3i323+3i323−3i32000000-1-1-11+i321−i321+i321+i321−i321−i3200000000000000000011−1−i32−1+i32−1−i32−1+i32000000000000
χ7033−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323+3i323−3i323−3i32-1-11+i321+i321−i321−i323-3000000−3−3i32−3+3i323+3i323−3i32000000-1111+i321−i32−1−i32−1−i32−1+i32−1+i32000000000000000000-111+i321−i32−1−i32−1+i32000000000000
χ7133−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323+3i323−3i323−3i32-1-11+i321+i321−i321−i32-330000003+3i323−3i32−3−3i32−3+3i32000000-1111+i321−i32−1−i32−1−i32−1+i32−1+i320000000000000000001-1−1−i32−1+i321+i321−i32000000000000
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χ7433−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323−3i323+3i323+3i32-1-11−i321−i321+i321+i323-3000000−3+3i32−3−3i323−3i323+3i32000000-1111−i321+i32−1+i32−1+i32−1−i32−1−i32000000000000000000-111−i321+i32−1+i32−1−i32000000000000
χ7533−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323−3i323+3i323+3i32-1-11−i321−i321+i321+i32-330000003−3i323+3i32−3+3i32−3−3i32000000-1111−i321+i32−1+i32−1+i32−1−i32−1−i320000000000000000001-1−1+i32−1−i321−i321+i32000000000000
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χ816-6−3−3i3−3+3i33+3i33−3i3032−3200−3ζ7+3ζ133ζ7−3ζ133ζ5−3ζ23−3ζ5+3ζ23-221+i3−1−i31−i3−1+i30000000000000000000−2200ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23000000000000000000000000000000000000
χ826-6−3−3i3−3+3i33+3i33−3i30−3232003ζ7−3ζ13−3ζ7+3ζ13−3ζ5+3ζ233ζ5−3ζ23-221+i3−1−i31−i3−1+i300000000000000000002−200−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23000000000000000000000000000000000000
χ836-6−3+3i3−3−3i33−3i33+3i3032−32003ζ5−3ζ23−3ζ5+3ζ23−3ζ7+3ζ133ζ7−3ζ13-221−i3−1+i31+i3−1−i30000000000000000000−2200−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13000000000000000000000000000000000000
χ846-6−3+3i3−3−3i33−3i33+3i30−323200−3ζ5+3ζ233ζ5−3ζ233ζ7−3ζ13−3ζ7+3ζ13-221−i3−1+i31+i3−1−i300000000000000000002−200ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13000000000000000000000000000000000000

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