Finite Group Databasebeta

← Group #6291

Character table — Group #6291

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33
size1122222222224444444466666666618181854
order12333336666633336666266666666412122
χ1111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1111-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11
χ52222-1-1-12-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-10000
χ62222-1-1-12-1-1-122-1-1-12-1-1-1-2-2-21111110000
χ7222-12-1-1-12-1-12-12-1-1-12-1-12-1-122-1-1-1-10000
χ8222-12-1-1-12-1-12-12-1-1-12-1-1-211-2-211110000
χ9222-1-12-1-1-12-12-1-12-1-1-12-12-1-1-1-122-1-10000
χ10222-1-12-1-1-12-12-1-12-1-1-12-1-21111-2-2110000
χ11222-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1-1-1220000
χ12222-1-1-12-1-1-122-1-1-12-1-1-12-2111111-2-20000
χ1322-122222222-1-1-1-1-1-1-1-1-10000000002-1-10
χ1422-122222222-1-1-1-1-1-1-1-1-1000000000-2110
χ152-222222-2-2-2-2-22222-2-2-2-20000000000000
χ162-222-1-1-1-2111-22-1-1-1-2111000−i3i3−i3i3−i3i30000
χ172-222-1-1-1-2111-22-1-1-1-2111000i3−i3i3−i3i3−i30000
χ182-22-12-1-11-211-2-12-1-11-2110−i3i300−i3i3i3−i30000
χ192-22-12-1-11-211-2-12-1-11-2110i3−i300i3−i3−i3i30000
χ202-22-1-12-111-21-2-1-12-111-210−i3i3i3−i300−i3i30000
χ212-22-1-12-111-21-2-1-12-111-210i3−i3−i3i300i3−i30000
χ222-22-1-1-12111-2-2-1-1-12111-20−i3i3−i3i3i3−i3000000
χ232-22-1-1-12111-2-2-1-1-12111-20i3−i3i3−i3−i3i3000000
χ242-2-12222-2-2-2-21-1-1-1-1111100000000003−30
χ252-2-12222-2-2-2-21-1-1-1-111110000000000−330
χ2644-24-2-2-24-2-2-2-2-2111-21110000000000000
χ2744-2-24-2-2-24-2-2-21-2111-2110000000000000
χ2844-2-2-24-2-2-24-2-211-2111-210000000000000
χ2944-2-2-2-24-2-2-24-2111-2111-20000000000000
χ304-4-24-2-2-2-42222-21112-1-1-10000000000000
χ314-4-2-24-2-22-42221-211-12-1-10000000000000
χ324-4-2-2-24-222-42211-21-1-12-10000000000000
χ334-4-2-2-2-24222-42111-2-1-1-120000000000000

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