Finite Group Databasebeta

← Group #10593522

Character table — Group #10593522

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size1111444444444888818182424242424242424242424243636363636
order1222233666666666644224466661212121248888
χ1111111111111111111111111111111111111
χ211111111111111111111-11-111-1-111-1-11-1-1-1-1
χ31111111111111111111-11-11-1-111-1-1111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111-111111111-1-1-1-11111-1-11111-1-1-1-1-111-1-1
χ61111-111111111-1-1-1-1111-1-1111-1-1-1-111-1-1-111
χ71111-111111111-1-1-1-111-111-1-1-11111-1-1-1-1-111
χ81111-111111111-1-1-1-111-1-111-1-1-1-11111-111-1-1
χ922222222222222222-2-2000000000000-20000
χ102222-222222222-2-2-2-2-2-200000000000020000
χ112-2-2202222-2-2-2-200002-20000000000000002i−2i
χ122-2-2202222-2-2-2-200002-2000000000000000−2i2i
χ132-2-2202222-2-2-2-20000-2200000000000002-200
χ142-2-2202222-2-2-2-20000-220000000000000-2200
χ15444441-21-21-21-211-2-200020200-1-100-1-100000
χ16444441-21-21-21-211-2-2000-20-20011001100000
χ1744444-21-21-21-21-2-211002020-1-100-1-10000000
χ1844444-21-21-21-21-2-21100-20-201100110000000
χ194444-41-21-21-21-2-1-12200020-200-1-1001100000
χ204444-41-21-21-21-2-1-122000-202001100-1-100000
χ214444-4-21-21-21-2122-1-10020-20-1-100110000000
χ224444-4-21-21-21-2122-1-100-20201100-1-10000000
χ2344-4-401-2-12-1-2123-30000000000−i3i300−i3i300000
χ2444-4-401-2-12-1-2123-30000000000i3−i300i3−i300000
χ2544-4-401-2-12-1-212-330000000000−i3i300i3−i300000
χ2644-4-401-2-12-1-212-330000000000i3−i300−i3i300000
χ2744-4-4044-4-4-444-400000000000000000000000
χ284-44-4044-4-44-4-4400000000000000000000000
χ294-44-40-212-1-2-121003-3000000−i3i300−i3i30000000
χ304-44-40-212-1-2-121003-3000000i3−i300i3−i30000000
χ314-44-40-212-1-2-12100-33000000−i3i300i3−i30000000
χ324-44-40-212-1-2-12100-33000000i3−i300−i3i30000000
χ3388-8-80-424-242-4-200000000000000000000000
χ348-88-802-4-2424-2-400000000000000000000000
χ358-8-8802-42-4-24-2400000000000000000000000
χ368-8-880-42-424-24-200000000000000000000000

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