Finite Group Databasebeta

← Group #10593495

Character table — Group #10593495

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size1111444444444888818182424242424242424242424243636363636
order122223366666666664424446612121212121248888
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
χ51111-111111111-1-1-1-1111-11-111-1-111-1-1-111-1-1
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
χ81111-111111111-1-1-1-111-11-11-1-111-1-111-111-1-1
χ922222222222222222-2-2000000000000-20000
χ102222-222222222-2-2-2-2-2-200000000000020000
χ112-2-22022-22-22-2-200002-200000000000002i−2i00
χ122-2-22022-22-22-2-200002-20000000000000−2i2i00
χ132-2-22022-22-22-2-20000-220000000000000002-2
χ142-2-22022-22-22-2-20000-22000000000000000-22
χ15444441-21-2-211-211-2-20000220000-1-1-1-100000
χ16444441-21-2-211-211-2-20000-2-20000111100000
χ1744444-21-211-2-21-2-211002200-1-1-1-1000000000
χ1844444-21-211-2-21-2-21100-2-2001111000000000
χ194444-41-21-2-211-2-1-12200002-20000-1-11100000
χ204444-41-21-2-211-2-1-1220000-22000011-1-100000
χ214444-4-21-211-2-2122-1-1002-200-1-111000000000
χ224444-4-21-211-2-2122-1-100-220011-1-1000000000
χ2344-4-401-212-2-1-123-30000000000003−33−300000
χ2444-4-401-212-2-1-123-3000000000000−33−3300000
χ2544-4-401-212-2-1-12-330000000000003−3−3300000
χ2644-4-401-212-2-1-12-33000000000000−333−300000
χ2744-4-40444-44-4-4-400000000000000000000000
χ284-44-4044-4-4-4-44400000000000000000000000
χ294-44-40-212-1-12-21003-3000000−i3i3−i3i3000000000
χ304-44-40-212-1-12-21003-3000000i3−i3i3−i3000000000
χ314-44-40-212-1-12-2100-33000000−i3i3i3−i3000000000
χ324-44-40-212-1-12-2100-33000000i3−i3−i3i3000000000
χ3388-8-80-42-4-2244-200000000000000000000000
χ348-88-802-4-244-22-400000000000000000000000
χ358-8-8802-4-2-442-2400000000000000000000000
χ368-8-880-4242-2-44-200000000000000000000000

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