Finite Group Databasebeta

← Group #6295

Character table — Group #6295

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27
size112222224444444444181818181818181818
order12333666333336666622466661212
χ1111111111111111111111111111
χ21111111111111111111-1-111-1-1-1-1
χ3111111111111111111-11-1-1-111-1-1
χ4111111111111111111-1-11-1-1-1-111
χ52222-12-122-1-1-1-12-1-1-1-102000-1-100
χ62222-12-122-1-1-1-12-1-1-1-10-20001100
χ7222-12-122-12-1-1-1-12-1-1-1200-1-10000
χ8222-12-122-12-1-1-1-12-1-1-1-200110000
χ922-12222-1-1-12-1-1-1-12-1-10020000-1-1
χ1022-12222-1-1-12-1-1-1-12-1-100-2000011
χ112-2222-2-2-222222-2-2-2-2-2000000000
χ122-222-1-21-22-1-1-1-1-2111100000−i3i300
χ132-222-1-21-22-1-1-1-1-2111100000i3−i300
χ142-22-121-2-2-12-1-1-11-2111000−i3i30000
χ152-22-121-2-2-12-1-1-11-2111000i3−i30000
χ162-2-122-2-21-1-12-1-111-21100000003−3
χ172-2-122-2-21-1-12-1-111-2110000000−33
χ18444-2-2-2-24-2-2111-2-2111000000000
χ1944-24-24-2-2-21-211-21-211000000000
χ2044-2-24-24-21-2-2111-2-211000000000
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
χ234-44-2-222-4-2-211122-1-1-1000000000
χ244-4-24-2-422-21-2112-12-1-1000000000
χ254-4-2-242-421-2-211-122-1-1000000000
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).