Finite Group Databasebeta

← Group #10593336

Character table — Group #10593336

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size1122244444444888818182424242424242424242424243636363636
order122443366661212612121288244466121212121212816161616
χ1111111111111111111111111111111111111
χ2111111111111111111111-1-11111-1-1-1-11-1-1-1-1
χ31111111111111111111-1-111-1-1-1-111111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ511-1-1111-1-111-1-1-111-1111-11-111-1-111-1-1-111-1-1
χ611-1-1111-1-111-1-1-111-1111-1-1111-1-1-1-111-1-1-111
χ711-1-1111-1-111-1-1-111-111-111-1-1-11111-1-1-1-1-111
χ811-1-1111-1-111-1-1-111-111-11-11-1-111-1-111-111-1-1
χ922222222222222222-2-2000000000000-20000
χ10222-2-2222222-2-22-2-2-20000000000000002−22−2
χ11222-2-2222222-2-22-2-2-2000000000000000−22−22
χ1222-22-222-2-22222-2-2-220000000000000002−2−22
χ1322-22-222-2-22222-2-2-22000000000000000−222−2
χ1422-2-2222-2-222-2-2-222-2-2-200000000000020000
χ15444441-211-21-2-2-2-2110000220000-1-1-1-100000
χ16444441-211-21-2-2-2-2110000-2-20000111100000
χ1744444-21-2-21-21111-2-2002200-1-1-1-1000000000
χ1844444-21-2-21-21111-2-200-2-2001111000000000
χ19444-4-41-211-2122-22-1-10000000000−i3i3−i3i300000
χ20444-4-41-211-2122-22-1-10000000000i3−i3i3−i300000
χ21444-4-4-21-2-21-2-1-11-122000000−i3i3−i3i3000000000
χ22444-4-4-21-2-21-2-1-11-122000000i3−i3i3−i3000000000
χ2344-44-41-2-1-1-21-2-222-110000000000−i3i3i3−i300000
χ2444-44-41-2-1-1-21-2-222-110000000000i3−i3−i3i300000
χ2544-44-4-21221-211-1-12-2000000−i3i3i3−i3000000000
χ2644-44-4-21221-211-1-12-2000000i3−i3−i3i3000000000
χ2744-4-441-2-1-1-21222-21-100002-20000-1-11100000
χ2844-4-441-2-1-1-21222-21-10000-22000011-1-100000
χ2944-4-44-21221-2-1-1-11-22002-200-1-111000000000
χ3044-4-44-21221-2-1-1-11-2200-220011-1-1000000000
χ314-40004400-4-400000022−2200000000000000000
χ324-40004400-4-4000000−222200000000000000000
χ338-80002-46-64-20000000000000000000000000
χ348-80002-4-664-20000000000000000000000000
χ358-8000-4200-246i−6i00000000000000000000000
χ368-8000-4200-24−6i6i00000000000000000000000

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