Finite Group Databasebeta

← Group #10593378

Character table — Group #10593378

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size1111444444444888818182424242424242424242424243636363636
order122233466666612121212444444121212121212121248888
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
χ5111111-1111111-1-1-1-1111-11-1-1-11111-1-1-111-1-1
χ6111111-1111111-1-1-1-1111-1-11-1-111-1-111-1-1-111
χ7111111-1111111-1-1-1-111-111-111-1-111-1-1-1-1-111
χ8111111-1111111-1-1-1-111-11-1111-1-1-1-111-111-1-1
χ922222222222222222-2-2000000000000-20000
χ10222222-2222222-2-2-2-2-2-200000000000020000
χ112-2-222202-2-2-2-2200002-20000000000000002i−2i
χ122-2-222202-2-2-2-2200002-2000000000000000−2i2i
χ132-2-222202-2-2-2-220000-2200000000000002i−2i00
χ142-2-222202-2-2-2-220000-220000000000000−2i2i00
χ1544441-241-2-211-2-2-211002200-1-1-1-1000000000
χ1644441-241-2-211-2-2-21100-2-2001111000000000
χ1744441-2-41-2-211-222-1-1002-20011-1-1000000000
χ1844441-2-41-2-211-222-1-100-2200-1-111000000000
χ194444-214-211-2-2111-2-20000220000-1-1-1-100000
χ204444-214-211-2-2111-2-20000-2-20000111100000
χ214444-21-4-211-2-21-1-12200002-20000-1-11100000
χ224444-21-4-211-2-21-1-1220000-22000011-1-100000
χ2344-4-4440-4-44-44-400000000000000000000000
χ2444-4-4-2102-112-2-13-30000000000003−33−300000
χ2544-4-4-2102-112-2-13-3000000000000−33−3300000
χ2644-4-4-2102-112-2-1-330000000000003−3−3300000
χ2744-4-4-2102-112-2-1-33000000000000−333−300000
χ284-44-41-20-1-221-12003i−3i000000−i3i33−3000000000
χ294-44-41-20-1-221-12003i−3i000000i3−i3−33000000000
χ304-44-41-20-1-221-1200−3i3i000000−i3i3−33000000000
χ314-44-41-20-1-221-1200−3i3i000000i3−i33−3000000000
χ324-44-4440-44-44-4-400000000000000000000000
χ3388-8-82-40-24-4-22400000000000000000000000
χ348-88-8-42042-2-44-200000000000000000000000
χ358-8-882-40244-2-2-400000000000000000000000
χ368-8-88-420-4-2-244200000000000000000000000

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