Finite Group Databasebeta

← Group #13060724

Character table — Group #13060724

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11113333333344444444444444477777777121212121212121212121212121212121212121212121212121212121212282828282828282828282828282828282828282828282828282828282828
order1222771414141414142244444444444443366666614141414282828282828282828282828282828282828282828282828282866661212121212121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111111111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ41111111111111111-1-1-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-1111-1-1-1-1
χ51111111111111111-1-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ61111111111111111-1-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ711111111111111-1-111-1-11-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11-1-111-1-11-1-111-1-1
χ811111111111111-1-111-1-11-1-111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ911111111111111-1-111-1-11-1-111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ1011111111111111-1-1-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111-1-1-1-1111-1-1-1-111
χ1111111111111111-1-1-1-1111-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ1211111111111111-1-1-1-1111-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ131111111111111-1111-11-1-1-1-11-11-11111111111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-111-1-11-11-1111-11-1111-11-1-1-1-11-11-1-1-1-11-11-1
χ141111111111111-1111-11-1-1-1-11-11-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1−1+i321−i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i321−i321−i321−i32−1+i321−i32−1+i321−i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ151111111111111-1111-11-1-1-1-11-11-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1−1−i321+i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i321+i321+i321+i32−1−i321+i32−1−i321+i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ161111111111111-111-11-11-1-1-1-11-111111111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1-1111-11-111-11-1111-11-11-1-1-1-11-11-1-1-1-11-11
χ171111111111111-111-11-11-1-1-1-11-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1-111−1+i321−i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i321−i321−i321−i321−i32−1+i321−i32−1+i321+i321+i321+i321+i32−1−i321+i32−1−i32
χ181111111111111-111-11-11-1-1-1-11-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1-111−1−i321+i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i32−1+i321+i321+i321+i321+i32−1−i321+i32−1−i321−i321−i321−i321−i32−1+i321−i32−1+i32
χ191111111111111-1-1-11-1-11-1111-1-111111111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1111-11-1-1-11-1-11-1-11-1-11-1111-1-11-1111-1-11
χ201111111111111-1-1-11-1-11-1111-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111−1+i321−i32−1−i321+i321−i321−i32−1+i321−i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ211111111111111-1-1-11-1-11-1111-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111−1−i321+i32−1+i321−i321+i321+i32−1−i321+i321+i32−1−i321−i321−i32−1+i321−i321−i32−1+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ221111111111111-1-1-1-111-1-111-111-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-11-1-1-1-111-1-1-1-111-1-111-111-1-111-111-1
χ231111111111111-1-1-1-111-1-111-111-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1−1+i321−i32−1−i321+i321−i321−i321−i32−1+i32−1+i321−i321+i321+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ241111111111111-1-1-1-111-1-111-111-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1−1−i321+i32−1+i321−i321+i321+i321+i32−1−i32−1−i321+i321−i321−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ25111111111111-111-1111-1-11-1-1-1-1111111111-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-11-111-1111-11-1111-1-11-1-1-1-11-11-1-1-1-11
χ26111111111111-111-1111-1-11-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111−i32−1+i321+i32−1−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1−i321+i32−1−i32−1−i32−1−i321+i321−i32−1+i321−i321−i321−i321−i32−1+i321+i32−1−i321+i321+i321+i321+i32−1−i32
χ27111111111111-111-1111-1-11-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111+i32−1−i321−i32−1+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1+i321−i32−1+i32−1+i32−1+i321−i321+i32−1−i321+i321+i321+i321+i32−1−i321−i32−1+i321−i321−i321−i321−i32−1+i32
χ28111111111111-111-1-1-1-11-11-1111-111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-11-111-1-1-1-111-1-1-1-11-11-1111-1-11-1111-1
χ29111111111111-111-1-1-1-11-11-1111-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-11−i32−1+i321+i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1−i321+i321+i321+i321+i32−1−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32
χ30111111111111-111-1-1-1-11-11-1111-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-11+i32−1−i321−i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1+i321−i321−i321−i321−i32−1+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32
χ31111111111111-11-1111-11-1-11-1-11-111111111-1-111-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-11-11-1111-11-1111-11-1-11-1-11-1-1-11-1-11-1
χ32111111111111-11-1111-11-1-11-1-11-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-1111111-1-111-1-1-1-111-1-1-1-111-1-11−i32−1+i321+i32−1−i321−i32−1+i32−1+i32−1+i321−i32−1+i321+i32−1−i32−1−i32−1−i321+i32−1−i321−i321−i32−1+i321−i321−i32−1+i321−i321+i321+i32−1−i321+i321+i32−1−i321+i32
χ33111111111111-11-1111-11-1-11-1-11-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-1111111-1-111-1-1-1-111-1-1-1-111-1-11+i32−1−i321−i32−1+i321+i32−1−i32−1−i32−1−i321+i32−1−i321−i32−1+i32−1+i32−1+i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i321+i321−i321−i32−1+i321−i321−i32−1+i321−i32
χ34111111111111-11-11-1-11-1-1-1111-1111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-111-11-11-11-1-11-1-11-1-11-1-1-1111-11-1-1111-11
χ35111111111111-11-11-1-11-1-1-1111-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1111−i32−1+i321+i32−1−i321−i32−1+i321−i321−i32−1+i321−i321+i32−1−i321+i321+i32−1−i321+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32
χ36111111111111-11-11-1-11-1-1-1111-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1111+i32−1−i321−i32−1+i321+i32−1−i321+i321+i32−1−i321+i321−i32−1+i321−i321−i32−1+i321−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32
χ37111111111111-1-11-11-1111-11-11-1-111111111-1-1-1-111-1-111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11-11-1111-11-1111-11-11-1-11-11-11-1-1
χ38111111111111-1-11-11-1111-11-11-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-111-1-111-1-1111111-1-111-1-111-1-1-1-11−i321−i321+i321+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32
χ39111111111111-1-11-11-1111-11-11-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-111-1-111-1-1111111-1-111-1-111-1-1-1-11+i321+i321−i321−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32
χ40111111111111-1-11-1-11-1-11-111-11111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-11-1-11-1-11-1-11-1-11-111-1111-111-111
χ41111111111111-1-11-1-11-1-11-111-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-111111−i321−i321+i321+i32−1+i321−i321−i32−1+i321−i321−i32−1−i321+i321+i32−1−i321+i321+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32
χ42111111111111-1-11-1-11-1-11-111-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-111111+i321+i321−i321−i32−1−i321+i321+i32−1−i321+i321+i32−1+i321−i321−i32−1+i321−i321−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32
χ43111111111111-1-1-111-1-1-111-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-1-111-1-111111-1-1111
χ44111111111111-1-1-111-1-1-111-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111111−i321−i321+i321+i321−i32−1+i32−1+i321−i321−i321−i321+i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32
χ45111111111111-1-1-111-1-1-111-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111111+i321+i321−i321−i321+i32−1−i32−1−i321+i321+i321+i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32
χ46111111111111-1-1-11-111111-11-1-1-111111111-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1111-11-111111-11-1-1-111-11-1-1-1
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Here i is the imaginary unit (i² = −1).