Finite Group Databasebeta

← Group #6296

Character table — Group #6296

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27
size112222224444444444181818181818181818
order123336663333366666444121212121212
χ1111111111111111111111111111
χ21111111111111111111-1-111-1-1-1-1
χ3111111111111111111-11-1-1-111-1-1
χ4111111111111111111-1-11-1-1-1-111
χ52222-122-12-1-1-1-12-1-1-1-10020000-1-1
χ62222-122-12-1-1-1-12-1-1-1-100-2000011
χ7222-122-12-12-1-1-1-12-1-1-102000-1-100
χ8222-122-12-12-1-1-1-12-1-1-10-20001100
χ922-122-122-1-12-1-1-1-12-1-1200-1-10000
χ1022-122-122-1-12-1-1-1-12-1-1-200110000
χ112-2222-2-2-222222-2-2-2-2-2000000000
χ122-222-1-2-212-1-1-1-1-2111100000003−3
χ132-222-1-2-212-1-1-1-1-211110000000−33
χ142-22-12-21-2-12-1-1-11-2111000003−300
χ152-22-12-21-2-12-1-1-11-211100000−3300
χ162-2-1221-2-2-1-12-1-111-2110003−30000
χ172-2-1221-2-2-1-12-1-111-211000−330000
χ18444-2-24-2-2-2-2111-2-2111000000000
χ1944-24-2-24-2-21-211-21-211000000000
χ2044-2-24-2-241-2-2111-2-211000000000
χ2144-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32000000000
χ2244-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32000000000
χ234-44-2-2-422-2-211122-1-1-1000000000
χ244-4-24-22-42-21-2112-12-1-1000000000
χ254-4-2-2422-41-2-211-122-1-1000000000
χ264-4-2-2-2222111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000
χ274-4-2-2-2222111−1+3i32−1−3i32-1-1-11−3i321+3i32000000000

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