Finite Group Databasebeta

← Group #11919508

Character table — Group #11919508

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111222333333666666666666666666666666666888888161616161616161616161616242424242424323232323232323232323232323232323232
order123366412122266664444444441212121212121212121212121212121212122266663333336666664412121212666666666666121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111−1−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+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ3111111111111111111111111111111111111111111111111−1+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−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ7111111-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111111111111-111-1-1111-1-1-1111-1-1-1-1-1-1-1-1-1
χ8111111-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-111-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-111-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32
χ9111111-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-111-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32
χ10111111-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-1-111111111111111-11-1-111-1-1-1111-1-1-1111-1-1-1-1-1-1
χ11111111-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-1-1111+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32
χ12111111-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-1-1111−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32
χ1311−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−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+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−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+i321−1−i32−1+i321−1−i32−1+i32
χ1411−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−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+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32
χ1511−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−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+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321
χ1611−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−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−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32
χ1711−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−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−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32-1-11+i321−i321+i321−i321+i321−i32-11+i321−i32-11−i32-11+i321−i32-11+i32−1−i32−1+i321−1+i321−1−i32
χ1811−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−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−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321-1-11+i321−i321+i321−i321−i32-11+i321−i32-11+i321+i321−i32-11+i321−i32-1−1+i321−1−i32−1−i32−1+i321
χ1911−1−i32−1+i32−1−i32−1+i32-11+i321−i3211−1−i32−1+i32−1−i32−1+i32-1-1-1-1-111111+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+i321-1−1−i32−1+i321+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32
χ2011−1−i32−1+i32−1−i32−1+i32-11+i321−i3211−1−i32−1+i32−1−i32−1+i32-1-1-1-1-111111+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+i321-1−1−i32−1+i321+i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321-1−1−i32−1+i321+i321−i32−1−i32−1+i3211+i321−i32-1−1+i321−1−i321−i32-11+i321+i321−i32-11−i32-11+i32
χ2111−1−i32−1+i32−1−i32−1+i32-11+i321−i3211−1−i32−1+i32−1−i32−1+i32-1-1-1-1-111111+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+i321-1−1−i32−1+i321+i321−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32−1+i321−1−i321−i32-11+i32−1−i32−1+i3211+i321−i32-11−i32-11+i321+i321−i32-1
χ2211−1−i32−1+i32−1−i32−1+i32-11+i321−i3211−1−i32−1+i32−1−i32−1+i32-1-1-1-1-111111+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+i32-111+i321−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32-11+i321−i32
χ2311−1−i32−1+i32−1−i32−1+i32-11+i321−i3211−1−i32−1+i32−1−i32−1+i32-1-1-1-1-111111+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+i32-111+i321−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32-111+i321−i32−1−i32−1+i321+i321−i32-1−1−i32−1+i3211−i32-11+i32−1+i321−1−i321+i321−i32-11−i32-11+i32
χ2411−1−i32−1+i32−1−i32−1+i32-11+i321−i3211−1−i32−1+i32−1−i32−1+i32-1-1-1-1-111111+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+i32-111+i321−i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321-111+i321−i32−1−i32−1+i321−i32-11+i32−1+i321−1−i321+i321−i32-1−1−i32−1+i3211−i32-11+i321+i321−i32-1
χ2511−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+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−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+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−i321−1+i32−1−i321−1+i32−1−i32
χ2611−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+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−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321
χ2711−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+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−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32
χ2811−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+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+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32
χ2911−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+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+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321-1-11−i321+i321−i321+i321+i32-11−i321+i32-11−i321−i321+i32-11−i321+i32-1−1−i321−1+i32−1+i32−1−i321
χ3011−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+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+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32-1-11−i321+i321−i321+i321−i321+i32-11−i321+i32-11+i32-11−i321+i32-11−i32−1+i32−1−i321−1−i321−1+i32
χ3111−1+i32−1−i32−1+i32−1−i32-11−i321+i3211−1+i32−1−i32−1+i32−1−i32-1-1-1-1-111111−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−i321-1−1+i32−1−i321−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32
χ3211−1+i32−1−i32−1+i32−1−i32-11−i321+i3211−1+i32−1−i32−1+i32−1−i32-1-1-1-1-111111−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−i321-1−1+i32−1−i321−i321+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32−1−i321−1+i321+i32-11−i32−1+i32−1−i3211−i321+i32-11+i32-11−i321−i321+i32-1
χ3311−1+i32−1−i32−1+i32−1−i32-11−i321+i3211−1+i32−1−i32−1+i32−1−i32-1-1-1-1-111111−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−i321-1−1+i32−1−i321−i321+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321-1−1+i32−1−i321−i321+i32−1+i32−1−i3211−i321+i32-1−1−i321−1+i321+i32-11−i321−i321+i32-11+i32-11−i32
χ3411−1+i32−1−i32−1+i32−1−i32-11−i321+i3211−1+i32−1−i32−1+i32−1−i32-1-1-1-1-111111−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−i32-111−i321+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i32
χ3511−1+i32−1−i32−1+i32−1−i32-11−i321+i3211−1+i32−1−i32−1+i32−1−i32-1-1-1-1-111111−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−i32-111−i321+i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321-111−i321+i32−1+i32−1−i321+i32-11−i32−1−i321−1+i321−i321+i32-1−1+i32−1−i3211+i32-11−i321−i321+i32-1
χ3611−1+i32−1−i32−1+i32−1−i32-11−i321+i3211−1+i32−1−i32−1+i32−1−i32-1-1-1-1-111111−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−i32-111−i321+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32-111−i321+i32−1+i32−1−i321−i321+i32-1−1+i32−1−i3211+i32-11−i32−1−i321−1+i321−i321+i32-11+i32-11−i32
χ372-222-2-2000-22-2-2220000022-2-2000000000022-2-222-2-2000000222222-2-2-2-2-2-2000000000000000000000000
χ382-222-2-2000-22-2-2220000022-2-2000000000022-2-222-2-2000000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i3000000000000000000000000
χ392-222-2-2000-22-2-2220000022-2-2000000000022-2-222-2-2000000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i3000000000000000000000000
χ402-2−1−i3−1+i31+i31−i3000-221+i31−i3−1−i3−1+i30000022-2-20000000000−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i30000002−1−i3−1+i32−1−i3−1+i3-21+i31−i3-21+i31−i3000000000000000000000000
χ412-2−1−i3−1+i31+i31−i3000-221+i31−i3−1−i3−1+i30000022-2-20000000000−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3000000−1−i3−1+i32−1+i32−1−i31+i31−i3-21−i3-21+i3000000000000000000000000
χ422-2−1−i3−1+i31+i31−i3000-221+i31−i3−1−i3−1+i30000022-2-20000000000−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3000000−1+i32−1−i3−1−i3−1+i321−i3-21+i31+i31−i3-2000000000000000000000000
χ432-2−1+i3−1−i31−i31+i3000-221−i31+i3−1+i3−1−i30000022-2-20000000000−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i30000002−1+i3−1−i32−1+i3−1−i3-21−i31+i3-21−i31+i3000000000000000000000000
χ442-2−1+i3−1−i31−i31+i3000-221−i31+i3−1+i3−1−i30000022-2-20000000000−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3000000−1−i32−1+i3−1+i3−1−i321+i3-21−i31−i31+i3-2000000000000000000000000
χ452-2−1+i3−1−i31−i31+i3000-221−i31+i3−1+i3−1−i30000022-2-20000000000−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3000000−1+i3−1−i32−1−i32−1+i31−i31+i3-21+i3-21−i3000000000000000000000000
χ463333333333333333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1333333000000000000-1-1-1-1-1-1000000000000000000
χ473333333333333333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3-3-3-3000000000000111111000000000000000000
χ48333333-3-3-3333333-31111-1-1-1-1-3-311111111-1-1-1-1-1-1-1-13-333-3-3000000000000-11-1-111000000000000000000
χ49333333-3-3-3333333-31111-1-1-1-1-3-311111111-1-1-1-1-1-1-1-1-33-3-3330000000000001-111-1-1000000000000000000
χ5033−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323-1-1-1-1-1-1-1-1−3−3i32−3+3i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3233−3−3i32−3+3i32−3−3i32−3+3i32000000000000-1-11+i321−i321+i321−i32000000000000000000
χ5133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323-1-1-1-1-1-1-1-1−3−3i32−3+3i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-3-33+3i323−3i323+3i323−3i3200000000000011−1−i32−1+i32−1−i32−1+i32000000000000000000
χ5233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3233−3−3i32−3+3i32−3−3i32−3+3i32-31111-1-1-1-13+3i323−3i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i323-3−3−3i32−3+3i323+3i323−3i32000000000000-111+i321−i32−1−i32−1+i32000000000000000000
χ5333−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3233−3−3i32−3+3i32−3−3i32−3+3i32-31111-1-1-1-13+3i323−3i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-333+3i323−3i32−3−3i32−3+3i320000000000001-1−1−i32−1+i321+i321−i32000000000000000000
χ5433−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323-1-1-1-1-1-1-1-1−3+3i32−3−3i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3233−3+3i32−3−3i32−3+3i32−3−3i32000000000000-1-11−i321+i321−i321+i32000000000000000000
χ5533−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323-1-1-1-1-1-1-1-1−3+3i32−3−3i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-3-33−3i323+3i323−3i323+3i3200000000000011−1+i32−1−i32−1+i32−1−i32000000000000000000
χ5633−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3233−3+3i32−3−3i32−3+3i32−3−3i32-31111-1-1-1-13−3i323+3i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i323-3−3+3i32−3−3i323−3i323+3i32000000000000-111−i321+i32−1+i32−1−i32000000000000000000
χ5733−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3233−3+3i32−3−3i32−3+3i32−3−3i32-31111-1-1-1-13−3i323+3i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-333−3i323+3i32−3+3i32−3−3i320000000000001-1−1+i32−1−i321−i321+i32000000000000000000
χ58666666666-2-2-2-2-2-2-22i2i−2i−2i2i−2i2i−2i-2-22i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000
χ59666666666-2-2-2-2-2-2-2−2i−2i2i2i−2i2i−2i2i-2-2−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ60666666-6-6-6-2-2-2-2-2-222i2i−2i−2i−2i2i−2i2i222i2i−2i−2i2i2i−2i−2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ61666666-6-6-6-2-2-2-2-2-22−2i−2i2i2i2i−2i2i−2i22−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000
χ6266−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i3-2-21+i31−i31+i31−i3-22i2i−2i−2i2i−2i2i−2i1+i31−i32ζ112ζ11−2ζ11−2ζ112ζ72ζ7−2ζ7−2ζ72ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ7000000000000000000000000000000000000000000
χ6366−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i3-2-21+i31−i31+i31−i3-2−2i−2i2i2i−2i2i−2i2i1+i31−i3−2ζ11−2ζ112ζ112ζ11−2ζ7−2ζ72ζ72ζ7−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ7000000000000000000000000000000000000000000
χ6466−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i3-2-21+i31−i31+i31−i322i2i−2i−2i−2i2i−2i2i−1−i3−1+i32ζ112ζ11−2ζ11−2ζ112ζ72ζ7−2ζ7−2ζ7−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ7000000000000000000000000000000000000000000
χ6566−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i3-2-21+i31−i31+i31−i32−2i−2i2i2i2i−2i2i−2i−1−i3−1+i3−2ζ11−2ζ112ζ112ζ11−2ζ7−2ζ72ζ72ζ72ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ7000000000000000000000000000000000000000000
χ6666−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i3-2-21−i31+i31−i31+i3-22i2i−2i−2i2i−2i2i−2i1−i31+i32ζ72ζ7−2ζ7−2ζ72ζ112ζ11−2ζ11−2ζ112ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ11000000000000000000000000000000000000000000
χ6766−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i3-2-21−i31+i31−i31+i3-2−2i−2i2i2i−2i2i−2i2i1−i31+i3−2ζ7−2ζ72ζ72ζ7−2ζ11−2ζ112ζ112ζ11−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ11000000000000000000000000000000000000000000
χ6866−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i3-2-21−i31+i31−i31+i322i2i−2i−2i−2i2i−2i2i−1+i3−1−i32ζ72ζ7−2ζ7−2ζ72ζ112ζ11−2ζ11−2ζ11−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ11000000000000000000000000000000000000000000
χ6966−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i3-2-21−i31+i31−i31+i32−2i−2i2i2i2i−2i2i−2i−1+i3−1−i3−2ζ7−2ζ72ζ72ζ7−2ζ11−2ζ112ζ112ζ112ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ11000000000000000000000000000000000000000000
χ706-666-6-60002-222-2-202+2i−2−2i2−2i−2+2i2i−2i−2i2i002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000
χ716-666-6-60002-222-2-202−2i−2+2i2+2i−2−2i−2i2i2i−2i002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000
χ726-666-6-60002-222-2-20−2+2i2−2i−2−2i2+2i−2i2i2i−2i00−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000
χ736-666-6-60002-222-2-20−2−2i2+2i−2+2i2−2i2i−2i−2i2i00−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000
χ746-666-6-6000-66-6-66600000-2-2220000000000-2-222-2-222000000000000000000000000000000000000000000
χ756-6−3−3i3−3+3i33+3i33−3i30002-2−1−i3−1+i31+i31−i302+2i−2−2i2−2i−2+2i2i−2i−2i2i00−2ζ2+2ζ112ζ2−2ζ11−2ζ2−2ζ112ζ2+2ζ112ζ7−2ζ10−2ζ7+2ζ10−2ζ7−2ζ102ζ7+2ζ102ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ7000000000000000000000000000000000000000000
χ766-6−3−3i3−3+3i33+3i33−3i30002-2−1−i3−1+i31+i31−i302−2i−2+2i2+2i−2−2i−2i2i2i−2i00−2ζ2−2ζ112ζ2+2ζ11−2ζ2+2ζ112ζ2−2ζ11−2ζ7−2ζ102ζ7+2ζ102ζ7−2ζ10−2ζ7+2ζ10−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ7000000000000000000000000000000000000000000
χ776-6−3−3i3−3+3i33+3i33−3i30002-2−1−i3−1+i31+i31−i30−2+2i2−2i−2−2i2+2i−2i2i2i−2i002ζ2+2ζ11−2ζ2−2ζ112ζ2−2ζ11−2ζ2+2ζ112ζ7+2ζ10−2ζ7−2ζ10−2ζ7+2ζ102ζ7−2ζ10−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ7000000000000000000000000000000000000000000
χ786-6−3−3i3−3+3i33+3i33−3i30002-2−1−i3−1+i31+i31−i30−2−2i2+2i−2+2i2−2i2i−2i−2i2i002ζ2−2ζ11−2ζ2+2ζ112ζ2+2ζ11−2ζ2−2ζ11−2ζ7+2ζ102ζ7−2ζ102ζ7+2ζ10−2ζ7−2ζ102ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ7000000000000000000000000000000000000000000
χ796-6−3−3i3−3+3i33+3i33−3i3000-663+3i33−3i3−3−3i3−3+3i300000-2-22200000000001+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3000000000000000000000000000000000000000000
χ806-6−3+3i3−3−3i33−3i33+3i30002-2−1+i3−1−i31−i31+i302+2i−2−2i2−2i−2+2i2i−2i−2i2i002ζ7−2ζ10−2ζ7+2ζ10−2ζ7−2ζ102ζ7+2ζ10−2ζ2+2ζ112ζ2−2ζ11−2ζ2−2ζ112ζ2+2ζ112ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ11000000000000000000000000000000000000000000
χ816-6−3+3i3−3−3i33−3i33+3i30002-2−1+i3−1−i31−i31+i302−2i−2+2i2+2i−2−2i−2i2i2i−2i00−2ζ7−2ζ102ζ7+2ζ102ζ7−2ζ10−2ζ7+2ζ10−2ζ2−2ζ112ζ2+2ζ11−2ζ2+2ζ112ζ2−2ζ11−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ11000000000000000000000000000000000000000000
χ826-6−3+3i3−3−3i33−3i33+3i30002-2−1+i3−1−i31−i31+i30−2+2i2−2i−2−2i2+2i−2i2i2i−2i002ζ7+2ζ10−2ζ7−2ζ10−2ζ7+2ζ102ζ7−2ζ102ζ2+2ζ11−2ζ2−2ζ112ζ2−2ζ11−2ζ2+2ζ11−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ11000000000000000000000000000000000000000000
χ836-6−3+3i3−3−3i33−3i33+3i30002-2−1+i3−1−i31−i31+i30−2−2i2+2i−2+2i2−2i2i−2i−2i2i00−2ζ7+2ζ102ζ7−2ζ102ζ7+2ζ10−2ζ7−2ζ102ζ2−2ζ11−2ζ2+2ζ112ζ2+2ζ11−2ζ2−2ζ112ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ11000000000000000000000000000000000000000000
χ846-6−3+3i3−3−3i33−3i33+3i3000-663−3i33+3i3−3+3i3−3−3i300000-2-22200000000001−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.