Finite Group Databasebeta

← Group #11722639

Character table — Group #11722639

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91
size1122222222222333344444466666666666666666666666666121212121212121212121212121212121212181818181818181818181818181818181818181818181818
order12222344446121233666661212123336666666661212121212121212121212121212666666666121212121212121212224444446666121212121212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−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
χ41111111111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ51111111111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+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
χ61111111111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ71111-111-1-1-11-1-1111111-11-1-111111-111-11111-1-1-11-1-1-1-1-1-1-1-1-111-111-111-11-1-11-1-11-1-11-1111-1-1-11-11-1111-1-1-1111-1-1-1
χ81111-111-1-1-11-1-1111111-11-1-111111-111-11111-1-1-11-1-1-1-1-1-1-1-1-111-111-111-11-1-11-1-11-1-1-11-1-1-1111-11-11-1-1-1111-1-1-1111
χ91111-111-1-1-11-1-1−1−i32−1+i32−1−i32−1+i3211-11-1-11−1−i32−1+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−1−i32−1+i32−1−i321+i321+i321+i32−1+i321−i321−i321−i32-1-11+i321+i321−i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321-1111-1-1-1−1−i321+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ101111-111-1-1-11-1-1−1−i32−1+i32−1−i32−1+i3211-11-1-11−1−i32−1+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−1−i32−1+i32−1−i321+i321+i321+i32−1+i321−i321−i321−i32-1-11+i321+i321−i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i32-11-1-1-11111+i32−1−i321−i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ111111-111-1-1-11-1-1−1+i32−1−i32−1+i32−1−i3211-11-1-11−1+i32−1−i32−1+i32−1+i321−i32−1−i32−1−i321+i321−1+i32−1−i32−1+i321−i321−i321−i32−1−i321+i321+i321+i32-1-11−i321−i321+i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321-1111-1-1-1−1+i321−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ121111-111-1-1-11-1-1−1+i32−1−i32−1+i32−1−i3211-11-1-11−1+i32−1−i32−1+i32−1+i321−i32−1−i32−1−i321+i321−1+i32−1−i32−1+i321−i321−i321−i32−1−i321+i321+i321+i32-1-11−i321−i321+i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i32-11-1-1-11111−i32−1+i321+i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ13111-111-11-1-11-1-111111-11-11-11111-111-11111-11-1-1-11-1-1-1-1-1-1-1-11-111-111-11-11-1-11-1-11-11-11-1-111-11-11-11-1-111-11-1-111-1
χ14111-111-11-1-11-1-111111-11-11-11111-111-11111-11-1-1-11-1-1-1-1-1-1-1-11-111-111-11-11-1-11-1-11-1-11-111-1-11-11-11-111-1-11-111-1-11
χ15111-111-11-1-11-1-1−1−i32−1+i32−1−i32−1+i321-11-11-11−1−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−1−i32−1+i321+i32−1−i321+i321+i321−i32−1+i321−i321−i32-1-11+i321+i321−i321−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i321-11-1-111-1−1−i321+i32−1+i321−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ16111-111-11-1-11-1-1−1−i32−1+i32−1−i32−1+i321-11-11-11−1−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−1−i32−1+i321+i32−1−i321+i321+i321−i32−1+i321−i321−i32-1-11+i321+i321−i321−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i32-11-111-1-111+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ17111-111-11-1-11-1-1−1+i32−1−i32−1+i32−1−i321-11-11-11−1+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i321−1+i32−1−i321−i32−1+i321−i321−i321+i32−1−i321+i321+i32-1-11−i321−i321+i321+i321-11−1+i321−i32−1+i32−1−i321+i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i321-11-1-111-1−1+i321−i32−1−i321+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ18111-111-11-1-11-1-1−1+i32−1−i32−1+i32−1−i321-11-11-11−1+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i321−1+i32−1−i321−i32−1+i321−i321−i321+i32−1−i321+i321+i32-1-11−i321−i321+i321+i321-11−1+i321−i32−1+i32−1−i321+i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i32-11-111-1-111−i32−1+i321+i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ19111-1-11-1-11111111111-1-1-1-111111-1-11-1-1111-1-111-1-1111111111-1-11-1-11-1-1-1-11-1-11-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11
χ20111-1-11-1-11111111111-1-1-1-111111-1-11-1-1111-1-111-1-1111111111-1-11-1-11-1-1-1-11-1-11-1-11-1-1-11111-1-1-1-1-1-11111-1-11111-1
χ21111-1-11-1-111111−1−i32−1+i32−1−i32−1+i321-1-1-1-111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32-1-111+i321+i32−1−i321−i321−i32−1+i32111-1-1-1-11−1−i32−1−i32−1+i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1+i321−i321−i321−i321−i32−1+i32
χ22111-1-11-1-111111−1−i32−1+i32−1−i32−1+i321-1-1-1-111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32-1-111+i321+i32−1−i321−i321−i32−1+i32-1-1-11111-11+i321+i321−i321−i321+i32−1−i32−1−i32−1−i32−1−i321+i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ23111-1-11-1-111111−1+i32−1−i32−1+i32−1−i321-1-1-1-111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32-1-111−i321−i32−1+i321+i321+i32−1−i32111-1-1-1-11−1+i32−1+i32−1−i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1−i321+i321+i321+i321+i32−1−i32
χ24111-1-11-1-111111−1+i32−1−i32−1+i32−1−i321-1-1-1-111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32-1-111−i321−i32−1+i321+i321+i32−1−i32-1-1-11111-11−i321−i321+i321+i321−i32−1+i32−1+i32−1+i32−1+i321−i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ2511-1111-1-11-11-1-11111-111-1-11111-111-111111-1-11-1-1-11-1-1-1-1-1-1-1-111-111-111-1-11-1-11-1-111-1-11-11-111-11-1-11-11-11-11-11-11
χ2611-1111-1-11-11-1-11111-111-1-11111-111-111111-1-11-1-1-11-1-1-1-1-1-1-1-111-111-111-1-11-1-11-1-11-111-11-11-1-11-111-11-11-11-11-11-1
χ2711-1111-1-11-11-1-1−1−i32−1+i32−1−i32−1+i32-111-1-111−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i321−1−i32−1+i321+i321+i32−1−i321+i321−i321−i32−1+i321−i32-1-11+i321+i321−i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i321-1-11-11-11−1−i321+i32−1+i321−i321+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i32
χ2811-1111-1-11-11-1-1−1−i32−1+i32−1−i32−1+i32-111-1-111−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i321−1−i32−1+i321+i321+i32−1−i321+i321−i321−i32−1+i321−i32-1-11+i321+i321−i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i32-111-11-11-11+i32−1−i321−i32−1+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ2911-1111-1-11-11-1-1−1+i32−1−i32−1+i32−1−i32-111-1-111−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i321−1+i32−1−i321−i321−i32−1+i321−i321+i321+i32−1−i321+i32-1-11−i321−i321+i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i321-1-11-11-11−1+i321−i32−1−i321+i321−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i32
χ3011-1111-1-11-11-1-1−1+i32−1−i32−1+i32−1−i32-111-1-111−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i321−1+i32−1−i321−i321−i32−1+i321−i321+i321+i32−1−i321+i32-1-11−i321−i321+i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i32-111-11-11-11−i32−1+i321+i32−1−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ3111-11-11-11-111111111-11-1-11-1111-11-1-11-1111-11-11-11-11111111-11-1-11-1-11-1-11-1-11-1-11-111-11-1-11-11111-11-1-11-1-11-1-11-1
χ3211-11-11-11-111111111-11-1-11-1111-11-1-11-1111-11-11-11-11111111-11-1-11-1-11-1-11-1-11-1-11-1-1-11-111-11-1-1-1-11-111-111-111-11
χ3311-11-11-11-11111−1−i32−1+i32−1−i32−1+i32-11-1-11-11−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321−1−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i32-11-11+i32−1−i321+i321−i32−1+i321−i3211-11-1-11-1−1−i32−1−i32−1+i32−1+i321+i32−1−i321+i321+i32−1−i321+i321−i32−1+i321−i321−i32−1+i321−i32
χ3411-11-11-11-11111−1−i32−1+i32−1−i32−1+i32-11-1-11-11−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321−1−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i32-11-11+i32−1−i321+i321−i32−1+i321−i32-1-11-111-111+i321+i321−i321−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
χ3511-11-11-11-11111−1+i32−1−i32−1+i32−1−i32-11-1-11-11−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−1+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i32-11-11−i32−1+i321−i321+i32−1−i321+i3211-11-1-11-1−1+i32−1+i32−1−i32−1−i321−i32−1+i321−i321−i32−1+i321−i321+i32−1−i321+i321+i32−1−i321+i32
χ3611-11-11-11-11111−1+i32−1−i32−1+i32−1−i32-11-1-11-11−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−1+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i32-11-11−i32−1+i321−i321+i32−1−i321+i32-1-11-111-111−i321−i321+i321+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
χ3711-1-1111-1-111111111-1-111-1-1111-1-11-1-111111-1-111-1-11111111-1-11-1-11-1-111-1-11-1-11-1-111-1-111-1-11111-1-111-1-1-1-111-1-1
χ3811-1-1111-1-111111111-1-111-1-1111-1-11-1-111111-1-111-1-11111111-1-11-1-11-1-111-1-11-1-11-1-1-1-111-1-111-1-1-1-111-1-11111-1-111
χ3911-1-1111-1-11111−1−i32−1+i32−1−i32−1+i32-1-111-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321−1−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i3211-1-111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32
χ4011-1-1111-1-11111−1−i32−1+i32−1−i32−1+i32-1-111-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321−1−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32-1-111-1-1111+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ4111-1-1111-1-11111−1+i32−1−i32−1+i32−1−i32-1-111-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−1+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i3211-1-111-1-1−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32
χ4211-1-1111-1-11111−1+i32−1−i32−1+i32−1−i32-1-111-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−1+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32-1-111-1-1111−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ4311-1-1-11111-11-1-11111-1-1-1111111-1-1-1-1-1-1111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-11-1111-11-1-1-11-111-1-11-111
χ4411-1-1-11111-11-1-11111-1-1-1111111-1-1-1-1-1-1111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-11-1-1-11-1111-11-1-111-11-1-1
χ4511-1-1-11111-11-1-1−1−i32−1+i32−1−i32−1+i32-1-1-11111−1−i32−1+i321+i321+i321+i321−i321−i321−i321−1−i32−1+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i32-1-11+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1-11-111−1−i321+i32−1+i321−i321+i321+i32−1−i321+i32−1−i32−1−i321−i321−i32−1+i321−i32−1+i32−1+i32
χ4611-1-1-11111-11-1-1−1−i32−1+i32−1−i32−1+i32-1-1-11111−1−i32−1+i321+i321+i321+i321−i321−i321−i321−1−i32−1+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i32-1-11+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1111-11-1-11+i32−1−i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i321−i321−i32
χ4711-1-1-11111-11-1-1−1+i32−1−i32−1+i32−1−i32-1-1-11111−1+i32−1−i321−i321−i321−i321+i321+i321+i321−1+i32−1−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i32-1-11−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1-11-111−1+i321−i32−1−i321+i321−i321−i32−1+i321−i32−1+i32−1+i321+i321+i32−1−i321+i32−1−i32−1−i32
χ4811-1-1-11111-11-1-1−1+i32−1−i32−1+i32−1−i32-1-1-11111−1+i32−1−i321−i321−i321−i321+i321+i321+i321−1+i32−1−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i32-1-11−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1111-11-1-11−i32−1+i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i321+i321+i32
χ4922222222222222222222222-1-1-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ502222222222222−1−i3−1+i3−1−i3−1+i3222222-11+i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000000000
χ512222222222222−1+i3−1−i3−1+i3−1−i3222222-11−i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-11−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000000000
χ522222-222-2-2-22-2-2222222-22-2-2-1-1-122-222-2-1-1-12-2-2-22-2-2-2111111-1-11-1-11-1-11-111-111-111000000000000000000000000
χ532222-222-2-2-22-2-2−1−i3−1+i3−1−i3−1+i322-22-2-2-11+i321−i32−1−i3−1−i31+i3−1+i3−1+i31−i3-11+i321−i32−1−i31+i31+i31+i3−1+i31−i31−i31−i311−1−i32−1−i32−1+i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32000000000000000000000000
χ542222-222-2-2-22-2-2−1+i3−1−i3−1+i3−1−i322-22-2-2-11−i321+i32−1+i3−1+i31−i3−1−i3−1−i31+i3-11−i321+i32−1+i31−i31−i31−i3−1−i31+i31+i31+i311−1+i32−1+i32−1−i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32000000000000000000000000
χ55222-222-22-2-22-2-222222-22-22-2-1-1-12-222-22-1-1-1-22-2-2-22-2-2111111-11-1-11-1-11-11-111-111-11000000000000000000000000
χ56222-222-22-2-22-2-2−1−i3−1+i3−1−i3−1+i32-22-22-2-11+i321−i32−1−i31+i3−1−i3−1+i31−i3−1+i3-11+i321−i321+i3−1−i31+i31+i31−i3−1+i31−i31−i311−1−i32−1−i32−1+i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i32000000000000000000000000
χ57222-222-22-2-22-2-2−1+i3−1−i3−1+i3−1−i32-22-22-2-11−i321+i32−1+i31−i3−1+i3−1−i31+i3−1−i3-11−i321+i321−i3−1+i31−i31−i31+i3−1−i31+i31+i311−1+i32−1+i32−1−i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i321-11−1+i321−i32−1+i32−1−i321+i32−1−i32000000000000000000000000
χ58222-2-22-2-22222222222-2-2-2-22-1-1-12-2-22-2-2-1-1-1-2-222-2-222-1-1-1-1-1-1-111-111-11111-111-111-1000000000000000000000000
χ59222-2-22-2-222222−1−i3−1+i3−1−i3−1+i32-2-2-2-22-11+i321−i32−1−i31+i31+i3−1+i31−i31−i3-11+i321−i321+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i32000000000000000000000000
χ60222-2-22-2-222222−1+i3−1−i3−1+i3−1−i32-2-2-2-22-11−i321+i32−1+i31−i31−i3−1−i31+i31+i3-11−i321+i321−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i32000000000000000000000000
χ6122-2222-2-22-22-2-22222-222-2-22-1-1-1-222-222-1-1-1-2-22-2-2-22-21111111-1-11-1-11-1-111-111-111-1000000000000000000000000
χ6222-2222-2-22-22-2-2−1−i3−1+i3−1−i3−1+i3-222-2-22-11+i321−i321+i3−1−i3−1−i31−i3−1+i3−1+i3-11+i321−i321+i31+i3−1−i31+i31−i31−i3−1+i31−i311−1−i32−1−i32−1+i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i32000000000000000000000000
χ6322-2222-2-22-22-2-2−1+i3−1−i3−1+i3−1−i3-222-2-22-11−i321+i321−i3−1+i3−1+i31+i3−1−i3−1−i3-11−i321+i321−i31−i3−1+i31−i31+i31+i3−1−i31+i311−1+i32−1+i32−1−i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i32000000000000000000000000
χ6422-22-22-22-222222222-22-2-22-2-1-1-1-22-2-22-2-1-1-1-22-22-22-22-1-1-1-1-1-11-111-111-111-111-111-11000000000000000000000000
χ6522-22-22-22-22222−1−i3−1+i3−1−i3−1+i3-22-2-22-2-11+i321−i321+i3−1−i31+i31−i3−1+i31−i3-11+i321−i321+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i3-1-11+i321+i321−i321−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i321-11−1−i321+i32−1−i32−1+i321−i32−1+i32000000000000000000000000
χ6622-22-22-22-22222−1+i3−1−i3−1+i3−1−i3-22-2-22-2-11−i321+i321−i3−1+i31−i31+i3−1−i31+i3-11−i321+i321−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i3-1-11−i321−i321+i321+i321-11−1+i321−i32−1+i32−1−i321+i32−1−i321-11−1+i321−i32−1+i32−1−i321+i32−1−i32000000000000000000000000
χ6722-2-2222-2-222222222-2-222-2-2-1-1-1-2-22-2-22-1-1-12-2-222-2-22-1-1-1-1-1-111-111-111-1-111-111-111000000000000000000000000
χ6822-2-2222-2-22222−1−i3−1+i3−1−i3−1+i3-2-222-2-2-11+i321−i321+i31+i3−1−i31−i31−i3−1+i3-11+i321−i32−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i3-1-11+i321+i321−i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32000000000000000000000000
χ6922-2-2222-2-22222−1+i3−1−i3−1+i3−1−i3-2-222-2-2-11−i321+i321−i31−i3−1+i31+i31+i3−1−i3-11−i321+i32−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i3-1-11−i321−i321+i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32000000000000000000000000
χ7022-2-2-22222-22-2-22222-2-2-2222-1-1-1-2-2-2-2-2-2-1-1-1222-2222-2111111111111111-1-1-1-1-1-1-1-1-1000000000000000000000000
χ7122-2-2-22222-22-2-2−1−i3−1+i3−1−i3−1+i3-2-2-2222-11+i321−i321+i31+i31+i31−i31−i31−i3-11+i321−i32−1−i3−1−i3−1−i31+i3−1+i3−1+i3−1+i31−i311−1−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−i32000000000000000000000000
χ7222-2-2-22222-22-2-2−1+i3−1−i3−1+i3−1−i3-2-2-2222-11−i321+i321−i31−i31−i31+i31+i31+i3-11−i321+i32−1+i3−1+i3−1+i31−i3−1−i3−1−i3−1−i31+i311−1+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+i32000000000000000000000000
χ734-400040000-40044-4-4000000444000000-4-4-400000000000000000000000000000000000000000000000000000000
χ744-400040000-40044-4-4000000-2-2-20000002220000000023−2323−2323−23000000000000000000000000000000000000000000
χ754-400040000-40044-4-4000000-2-2-200000022200000000−2323−2323−2323000000000000000000000000000000000000000000
χ764-400040000-400−2−2i3−2+2i32+2i32−2i30000004−2−2i3−2+2i3000000-42+2i32−2i300000000000000000000000000000000000000000000000000000000
χ774-400040000-400−2−2i3−2+2i32+2i32−2i3000000-21+i31−i30000002−1−i3−1+i30000000023−234ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ11000000000000000000000000000000000000000000
χ784-400040000-400−2−2i3−2+2i32+2i32−2i3000000-21+i31−i30000002−1−i3−1+i300000000−2323−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000000000000000000000
χ794-400040000-400−2+2i3−2−2i32−2i32+2i30000004−2+2i3−2−2i3000000-42−2i32+2i300000000000000000000000000000000000000000000000000000000
χ804-400040000-400−2+2i3−2−2i32−2i32+2i3000000-21−i31+i30000002−1+i3−1−i30000000023−23−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ11000000000000000000000000000000000000000000
χ814-400040000-400−2+2i3−2−2i32−2i32+2i3000000-21−i31+i30000002−1+i3−1−i300000000−23232ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000000000000000000000
χ8266666-36666-3-3-30000-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000
χ836666-6-36-6-6-6-3330000-3-33-33300000000000000000000000000000000000000000000000000000000000000000000
χ84666-66-3-66-6-6-3330000-33-33-3300000000000000000000000000000000000000000000000000000000000000000000
χ85666-6-6-3-6-666-3-3-30000-33333-300000000000000000000000000000000000000000000000000000000000000000000
χ8666-666-3-6-66-6-33300003-3-333-300000000000000000000000000000000000000000000000000000000000000000000
χ8766-66-6-3-66-66-3-3-300003-333-3300000000000000000000000000000000000000000000000000000000000000000000
χ8866-6-66-36-6-66-3-3-3000033-3-33300000000000000000000000000000000000000000000000000000000000000000000
χ8966-6-6-6-3666-6-3330000333-3-3-300000000000000000000000000000000000000000000000000000000000000000000
χ9012-12000-60000663−63000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9112-12000-600006−6363000000000000000000000000000000000000000000000000000000000000000000000000000000

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