Finite Group Databasebeta

← Group #6326

Character table — Group #6326

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size136681366813668136681366813668136681366813668
order12243366123366123366123366123366123366123366123366123
χ1111111111111111111111111111111111111111111111
χ211-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-11
χ32200-12200-12200-12200-12200-12200-12200-12200-12200-1
χ43-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-10
χ53-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-110
χ611111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ711-1-11−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i3211-1-11−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i3211-1-11−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32
χ82200-1−1+i3−1+i3001−i32−1−i3−1−i3001+i322200-1−1+i3−1+i3001−i32−1−i3−1−i3001+i322200-1−1+i3−1+i3001−i32−1−i3−1−i3001+i32
χ93-11-10−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i3203-11-10−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i3203-11-10−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i320
χ103-1-110−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i3203-1-110−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i3203-1-110−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i320
χ1111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ1211-1-11−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i3211-1-11−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i3211-1-11−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32
χ132200-1−1−i3−1−i3001+i32−1+i3−1+i3001−i322200-1−1−i3−1−i3001+i32−1+i3−1+i3001−i322200-1−1−i3−1−i3001+i32−1+i3−1+i3001−i32
χ143-11-10−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i3203-11-10−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i3203-11-10−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i320
χ153-1-110−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i3203-1-110−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i3203-1-110−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i320
χ16111111111111111−1+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
χ1711-1-1111-1-1111-1-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ182200-12200-12200-1−1+i3−1+i3001−i32−1+i3−1+i3001−i32−1+i3−1+i3001−i32−1−i3−1−i3001+i32−1−i3−1−i3001+i32−1−i3−1−i3001+i32
χ193-11-103-11-103-11-10−3+3i321−i32−1+i321−i320−3+3i321−i32−1+i321−i320−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i320−3−3i321+i32−1−i321+i320−3−3i321+i32−1−i321+i320
χ203-1-1103-1-1103-1-110−3+3i321−i321−i32−1+i320−3+3i321−i321−i32−1+i320−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i320−3−3i321+i321+i32−1−i320−3−3i321+i321+i32−1−i320
χ2111111−1+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−i3211111−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32
χ2211-1-11−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i3211-1-11−1−i32−1−i321+i321+i32−1−i3211-1-11−1+i32−1+i321−i321−i32−1+i32
χ232200-1−1+i3−1+i3001−i32−1−i3−1−i3001+i32−1+i3−1+i3001−i32−1−i3−1−i3001+i322200-1−1−i3−1−i3001+i322200-1−1+i3−1+i3001−i32
χ243-11-10−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i3203-11-10−3−3i321+i32−1−i321+i3203-11-10−3+3i321−i32−1+i321−i320
χ253-1-110−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i3203-1-110−3−3i321+i321+i32−1−i3203-1-110−3+3i321−i321−i32−1+i320
χ2611111−1−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+i3211111−1−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+i3211111
χ2711-1-11−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i3211-1-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i3211-1-11
χ282200-1−1−i3−1−i3001+i32−1+i3−1+i3001−i32−1+i3−1+i3001−i322200-1−1−i3−1−i3001+i32−1−i3−1−i3001+i32−1+i3−1+i3001−i322200-1
χ293-11-10−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i320−3+3i321−i32−1+i321−i3203-11-10−3−3i321+i32−1−i321+i320−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i3203-11-10
χ303-1-110−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i320−3+3i321−i321−i32−1+i3203-1-110−3−3i321+i321+i32−1−i320−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i3203-1-110
χ31111111111111111−1−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
χ3211-1-1111-1-1111-1-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ332200-12200-12200-1−1−i3−1−i3001+i32−1−i3−1−i3001+i32−1−i3−1−i3001+i32−1+i3−1+i3001−i32−1+i3−1+i3001−i32−1+i3−1+i3001−i32
χ343-11-103-11-103-11-10−3−3i321+i32−1−i321+i320−3−3i321+i32−1−i321+i320−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i320−3+3i321−i32−1+i321−i320−3+3i321−i32−1+i321−i320
χ353-1-1103-1-1103-1-110−3−3i321+i321+i32−1−i320−3−3i321+i321+i32−1−i320−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i320−3+3i321−i321−i32−1+i320−3+3i321−i321−i32−1+i320
χ3611111−1+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−i3211111−1+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−i3211111
χ3711-1-11−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i3211-1-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i3211-1-11
χ382200-1−1+i3−1+i3001−i32−1−i3−1−i3001+i32−1−i3−1−i3001+i322200-1−1+i3−1+i3001−i32−1+i3−1+i3001−i32−1−i3−1−i3001+i322200-1
χ393-11-10−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i320−3−3i321+i32−1−i321+i3203-11-10−3+3i321−i32−1+i321−i320−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i3203-11-10
χ403-1-110−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i320−3−3i321+i321+i32−1−i3203-1-110−3+3i321−i321−i32−1+i320−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i3203-1-110
χ4111111−1−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+i3211111−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32
χ4211-1-11−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i3211-1-11−1+i32−1+i321−i321−i32−1+i3211-1-11−1−i32−1−i321+i321+i32−1−i32
χ432200-1−1−i3−1−i3001+i32−1+i3−1+i3001−i32−1−i3−1−i3001+i32−1+i3−1+i3001−i322200-1−1+i3−1+i3001−i322200-1−1−i3−1−i3001+i32
χ443-11-10−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i3203-11-10−3+3i321−i32−1+i321−i3203-11-10−3−3i321+i32−1−i321+i320
χ453-1-110−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i3203-1-110−3+3i321−i321−i32−1+i3203-1-110−3−3i321+i321+i32−1−i320

Here i is the imaginary unit (i² = −1).