Finite Group Databasebeta

← Group #10593429

Character table — Group #10593429

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size1111444444444888818182424242424242424242424243636363636
order12223346666661212121244224466661212121228888
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
χ5111111-1111111-1-1-1-11111-1-11111-1-1-1-1-111-1-1
χ6111111-1111111-1-1-1-1111-1-1111-1-1-1-111-1-1-111
χ7111111-1111111-1-1-1-111-111-1-1-11111-1-1-1-1-111
χ8111111-1111111-1-1-1-111-1-111-1-1-1-11111-111-1-1
χ922222222222222222-2-2000000000000-20000
χ10222222-2222222-2-2-2-2-2-200000000000020000
χ112-2-22220-2-222-2-200002-20000000000000002i−2i
χ122-2-22220-2-222-2-200002-2000000000000000−2i2i
χ132-2-22220-2-222-2-20000-2200000000000002-200
χ142-2-22220-2-222-2-20000-220000000000000-2200
χ1544441-241-21-21-211-2-200020200-1-100-1-100000
χ1644441-241-21-21-211-2-2000-20-20011001100000
χ1744441-2-41-21-21-2-1-12200020-200-1-1001100000
χ1844441-2-41-21-21-2-1-122000-202001100-1-100000
χ194444-214-21-21-21-2-211002020-1-100-1-10000000
χ204444-214-21-21-21-2-21100-20-201100110000000
χ214444-21-4-21-21-2122-1-10020-20-1-100110000000
χ224444-21-4-21-21-2122-1-100-20201100-1-10000000
χ2344-4-41-2012-12-1-23i−3i0000000000−i3i3003−300000
χ2444-4-41-2012-12-1-23i−3i0000000000i3−i300−3300000
χ2544-4-41-2012-12-1-2−3i3i0000000000−i3i300−3300000
χ2644-4-41-2012-12-1-2−3i3i0000000000i3−i3003−300000
χ2744-4-44404-4-4-4-4400000000000000000000000
χ284-44-4440-44-4-44-400000000000000000000000
χ294-44-4-210212-1-2-1003i−3i000000−i3i3003−30000000
χ304-44-4-210212-1-2-1003i−3i000000i3−i300−330000000
χ314-44-4-210212-1-2-100−3i3i000000−i3i300−330000000
χ324-44-4-210212-1-2-100−3i3i000000i3−i3003−30000000
χ3388-8-8-420-4-24-24200000000000000000000000
χ348-88-82-40-2-4-242400000000000000000000000
χ358-8-882-40-242-4-2400000000000000000000000
χ368-8-88-4204-2-424-200000000000000000000000

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