Finite Group Databasebeta

← Group #13057408

Character table — Group #13057408

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size16777771677777167777716777772121414141414212141414141421214141414142121414141414212141414141421214141414144242828282828424282828282842428282828284242828282828
order17233662142666621426666214266664284121212124284121212124284121212124284121212124284121212124284121212122142666621426666428412121212428412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32
χ3111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32
χ411-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-1
χ511-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32
χ611-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32
χ76-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-100000
χ81111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ9111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32
χ10111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32
χ1111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111
χ1211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32
χ1311-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32
χ146-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-100000-6100000-6100000-6100000-6100000
χ15111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1
χ16111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32
χ17111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32
χ1811-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-11111-111-1-1-1-11-1-11111-111-1-1-1-11-1-111
χ1911-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32
χ2011-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32
χ216-1000006-1000006-1000006-1000006-1000006-100000-6100000-6100000-6100000-61000006-100000-61000006-100000-6100000
χ22111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111
χ23111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32
χ24111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32
χ2511-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-11111-111-1-1-1-11-1-11111-111-1-1
χ2611-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32
χ2711-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32
χ286-1000006-1000006-1000006-1000006-1000006-100000-6100000-6100000-6100000-6100000-61000006-100000-61000006-100000
χ291111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ30111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32
χ31111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32
χ3211-111-1-111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-1-1-11-1-111-1-11-1-11111-111-1-1
χ3311-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32
χ3411-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32
χ356-1000006-1000006-1000006-100000-6100000-61000006-1000006-100000-6100000-61000006-100000-6100000-61000006-100000
χ361111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1
χ37111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32
χ38111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32
χ3911-111-1-111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-1-1-11-1-111-1-11-1-111-1-11-1-11111-111-1-111-111-1-1-1-11-1-111
χ4011-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32
χ4111-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32
χ426-1000006-1000006-1000006-100000-6100000-61000006-1000006-100000-6100000-6100000-61000006-1000006-100000-6100000
χ431111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ44111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32
χ45111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32
χ4611-111-1-111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-111
χ4711-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32
χ4811-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32
χ496-1000006-1000006-1000006-100000-6100000-6100000-6100000-61000006-1000006-1000006-1000006-100000-6100000-6100000
χ501111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111
χ51111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32
χ52111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32
χ5311-111-1-111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-11111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-1
χ5411-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32
χ5511-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32
χ566-1000006-1000006-1000006-100000-6100000-6100000-6100000-61000006-1000006-100000-6100000-61000006-1000006-100000
χ5722222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000002i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i000000000000000000000000000000000000000000
χ58222−1+i3−1−i3−1+i3−1−i3222−1+i3−1−i3−1+i3−1−i3-2-2-21−i31+i31−i31+i3-2-2-21−i31+i31−i31+i3000000000000002i2i2i2ζ72ζ112ζ72ζ11−2i−2i−2i−2ζ7−2ζ11−2ζ7−2ζ11000000000000000000000000000000000000000000
χ59222−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i3-2-2-21+i31−i31+i31−i3-2-2-21+i31−i31+i31−i3000000000000002i2i2i2ζ112ζ72ζ112ζ7−2i−2i−2i−2ζ11−2ζ7−2ζ11−2ζ7000000000000000000000000000000000000000000
χ6022-222-2-222-222-2-2-2-22-2-222-2-22-2-222000000000000002i2i−2i2i2i−2i−2i−2i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000
χ6122-2−1+i3−1−i31−i31+i322-2−1+i3−1−i31−i31+i3-2-221−i31+i3−1+i3−1−i3-2-221−i31+i3−1+i3−1−i3000000000000002i2i−2i2ζ72ζ11−2ζ7−2ζ11−2i−2i2i−2ζ7−2ζ112ζ72ζ11000000000000000000000000000000000000000000
χ6222-2−1−i3−1+i31+i31−i322-2−1−i3−1+i31+i31−i3-2-221+i31−i3−1−i3−1+i3-2-221+i31−i3−1−i3−1+i3000000000000002i2i−2i2ζ112ζ7−2ζ11−2ζ7−2i−2i2i−2ζ11−2ζ72ζ112ζ7000000000000000000000000000000000000000000
χ6312-20000012-200000-12200000-122000000000000000000012i−2i00000−12i2i00000000000000000000000000000000000000000000000
χ6422222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i000000000000000000000000000000000000000000
χ65222−1+i3−1−i3−1+i3−1−i3222−1+i3−1−i3−1+i3−1−i3-2-2-21−i31+i31−i31+i3-2-2-21−i31+i31−i31+i300000000000000−2i−2i−2i−2ζ7−2ζ11−2ζ7−2ζ112i2i2i2ζ72ζ112ζ72ζ11000000000000000000000000000000000000000000
χ66222−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i3-2-2-21+i31−i31+i31−i3-2-2-21+i31−i31+i31−i300000000000000−2i−2i−2i−2ζ11−2ζ7−2ζ11−2ζ72i2i2i2ζ112ζ72ζ112ζ7000000000000000000000000000000000000000000
χ6722-222-2-222-222-2-2-2-22-2-222-2-22-2-22200000000000000−2i−2i2i−2i−2i2i2i2i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000
χ6822-2−1+i3−1−i31−i31+i322-2−1+i3−1−i31−i31+i3-2-221−i31+i3−1+i3−1−i3-2-221−i31+i3−1+i3−1−i300000000000000−2i−2i2i−2ζ7−2ζ112ζ72ζ112i2i−2i2ζ72ζ11−2ζ7−2ζ11000000000000000000000000000000000000000000
χ6922-2−1−i3−1+i31+i31−i322-2−1−i3−1+i31+i31−i3-2-221+i31−i3−1−i3−1+i3-2-221+i31−i3−1−i3−1+i300000000000000−2i−2i2i−2ζ11−2ζ72ζ112ζ72i2i−2i2ζ112ζ7−2ζ11−2ζ7000000000000000000000000000000000000000000
χ7012-20000012-200000-12200000-1220000000000000000000−12i2i0000012i−2i00000000000000000000000000000000000000000000000
χ712222222-2-2-2-2-2-2-22222222-2-2-2-2-2-2-22i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ72222−1+i3−1−i3−1+i3−1−i3-2-2-21−i31+i31−i31+i3222−1+i3−1−i3−1+i3−1−i3-2-2-21−i31+i31−i31+i32i2i2i2ζ72ζ112ζ72ζ11−2i−2i−2i−2ζ7−2ζ11−2ζ7−2ζ1100000000000000000000000000000000000000000000000000000000
χ73222−1−i3−1+i3−1−i3−1+i3-2-2-21+i31−i31+i31−i3222−1−i3−1+i3−1−i3−1+i3-2-2-21+i31−i31+i31−i32i2i2i2ζ112ζ72ζ112ζ7−2i−2i−2i−2ζ11−2ζ7−2ζ11−2ζ700000000000000000000000000000000000000000000000000000000
χ7422-222-2-2-2-22-2-22222-222-2-2-2-22-2-2222i2i−2i2i2i−2i−2i−2i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ7522-2−1+i3−1−i31−i31+i3-2-221−i31+i3−1+i3−1−i322-2−1+i3−1−i31−i31+i3-2-221−i31+i3−1+i3−1−i32i2i−2i2ζ72ζ11−2ζ7−2ζ11−2i−2i2i−2ζ7−2ζ112ζ72ζ1100000000000000000000000000000000000000000000000000000000
χ7622-2−1−i3−1+i31+i31−i3-2-221+i31−i3−1−i3−1+i322-2−1−i3−1+i31+i31−i3-2-221+i31−i3−1−i3−1+i32i2i−2i2ζ112ζ7−2ζ11−2ζ7−2i−2i2i−2ζ11−2ζ72ζ112ζ700000000000000000000000000000000000000000000000000000000
χ7712-200000-1220000012-200000-1220000012i−2i00000−12i2i0000000000000000000000000000000000000000000000000000000000000
χ782222222-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i00000000000000000000000000000000000000000000000000000000
χ79222−1+i3−1−i3−1+i3−1−i3-2-2-21−i31+i31−i31+i3222−1+i3−1−i3−1+i3−1−i3-2-2-21−i31+i31−i31+i3−2i−2i−2i−2ζ7−2ζ11−2ζ7−2ζ112i2i2i2ζ72ζ112ζ72ζ1100000000000000000000000000000000000000000000000000000000
χ80222−1−i3−1+i3−1−i3−1+i3-2-2-21+i31−i31+i31−i3222−1−i3−1+i3−1−i3−1+i3-2-2-21+i31−i31+i31−i3−2i−2i−2i−2ζ11−2ζ7−2ζ11−2ζ72i2i2i2ζ112ζ72ζ112ζ700000000000000000000000000000000000000000000000000000000
χ8122-222-2-2-2-22-2-22222-222-2-2-2-22-2-222−2i−2i2i−2i−2i2i2i2i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ8222-2−1+i3−1−i31−i31+i3-2-221−i31+i3−1+i3−1−i322-2−1+i3−1−i31−i31+i3-2-221−i31+i3−1+i3−1−i3−2i−2i2i−2ζ7−2ζ112ζ72ζ112i2i−2i2ζ72ζ11−2ζ7−2ζ1100000000000000000000000000000000000000000000000000000000
χ8322-2−1−i3−1+i31+i31−i3-2-221+i31−i3−1−i3−1+i322-2−1−i3−1+i31+i31−i3-2-221+i31−i3−1−i3−1+i3−2i−2i2i−2ζ11−2ζ72ζ112ζ72i2i−2i2ζ112ζ7−2ζ11−2ζ700000000000000000000000000000000000000000000000000000000
χ8412-200000-1220000012-200000-12200000−12i2i0000012i−2i0000000000000000000000000000000000000000000000000000000000000
χ852222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222200000000000000000000000000002222222-2-2-2-2-2-2-20000000000000000000000000000
χ86222−1+i3−1−i3−1+i3−1−i3-2-2-21−i31+i31−i31+i3-2-2-21−i31+i31−i31+i3222−1+i3−1−i3−1+i3−1−i30000000000000000000000000000222−1+i3−1−i3−1+i3−1−i3-2-2-21−i31+i31−i31+i30000000000000000000000000000
χ87222−1−i3−1+i3−1−i3−1+i3-2-2-21+i31−i31+i31−i3-2-2-21+i31−i31+i31−i3222−1−i3−1+i3−1−i3−1+i30000000000000000000000000000222−1−i3−1+i3−1−i3−1+i3-2-2-21+i31−i31+i31−i30000000000000000000000000000
χ8822-222-2-2-2-22-2-222-2-22-2-22222-222-2-2000000000000000000000000000022-222-2-2-2-22-2-2220000000000000000000000000000
χ8922-2−1+i3−1−i31−i31+i3-2-221−i31+i3−1+i3−1−i3-2-221−i31+i3−1+i3−1−i322-2−1+i3−1−i31−i31+i3000000000000000000000000000022-2−1+i3−1−i31−i31+i3-2-221−i31+i3−1+i3−1−i30000000000000000000000000000
χ9022-2−1−i3−1+i31+i31−i3-2-221+i31−i3−1−i3−1+i3-2-221+i31−i3−1−i3−1+i322-2−1−i3−1+i31+i31−i3000000000000000000000000000022-2−1−i3−1+i31+i31−i3-2-221+i31−i3−1−i3−1+i30000000000000000000000000000
χ9112-200000-12200000-1220000012-200000000000000000000000000000000012-200000-122000000000000000000000000000000000
χ922222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222220000000000000000000000000000-2-2-2-2-2-2-222222220000000000000000000000000000
χ93222−1+i3−1−i3−1+i3−1−i3-2-2-21−i31+i31−i31+i3-2-2-21−i31+i31−i31+i3222−1+i3−1−i3−1+i3−1−i30000000000000000000000000000-2-2-21−i31+i31−i31+i3222−1+i3−1−i3−1+i3−1−i30000000000000000000000000000
χ94222−1−i3−1+i3−1−i3−1+i3-2-2-21+i31−i31+i31−i3-2-2-21+i31−i31+i31−i3222−1−i3−1+i3−1−i3−1+i30000000000000000000000000000-2-2-21+i31−i31+i31−i3222−1−i3−1+i3−1−i3−1+i30000000000000000000000000000
χ9522-222-2-2-2-22-2-222-2-22-2-22222-222-2-20000000000000000000000000000-2-22-2-22222-222-2-20000000000000000000000000000
χ9622-2−1+i3−1−i31−i31+i3-2-221−i31+i3−1+i3−1−i3-2-221−i31+i3−1+i3−1−i322-2−1+i3−1−i31−i31+i30000000000000000000000000000-2-221−i31+i3−1+i3−1−i322-2−1+i3−1−i31−i31+i30000000000000000000000000000
χ9722-2−1−i3−1+i31+i31−i3-2-221+i31−i3−1−i3−1+i3-2-221+i31−i3−1−i3−1+i322-2−1−i3−1+i31+i31−i30000000000000000000000000000-2-221+i31−i3−1−i3−1+i322-2−1−i3−1+i31+i31−i30000000000000000000000000000
χ9812-200000-12200000-1220000012-2000000000000000000000000000000000-1220000012-2000000000000000000000000000000000

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