Finite Group Databasebeta

← Group #10593218

Character table — Group #10593218

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size11112222666688881212121212121212161616162424242424242436363672
order12223666224436668812122424242436664666612124882
χ1111111111111111111111111111111111111111
χ21111111111111111-1-111-1-1-1-11111-11111-1-11-1-1-1
χ311111111-1-11111111111111111111-1-1-1-111-1-1-1-1
χ411111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111
χ5222222222222-1-1-1-100220000-1-1-1-10-1-1-1-1002000
χ622222222-2-222-1-1-1-100220000-1-1-1-10111100-2000
χ72222-1-1-1-10022222222-1-1-1-1-1-1-1-1-1-120000-1-10000
χ82222-1-1-1-100222222-2-2-1-11111-1-1-1-1-20000110000
χ92-22-22-2-222-200-111-1−i2i200−i2−i2i2i2-111-1011-1-1000−i2i20
χ102-22-22-2-222-200-111-1i2−i200i2i2−i2−i2-111-1011-1-1000i2−i20
χ112-22-22-2-22-2200-111-1−i2i200−i2−i2i2i2-111-10-1-111000i2−i20
χ122-22-22-2-22-2200-111-1i2−i200i2i2−i2−i2-111-10-1-111000−i2i20
χ132-2-222-22-200-2222-2-2002-2000022-2-200000000000
χ142-2-222-22-200-22-1-111002-20000-1-1110−i3i3−i3i3000000
χ152-2-222-22-200-22-1-111002-20000-1-1110i3−i3i3−i3000000
χ162-2-22-11-1100-2222-2-200-113−33−3-1-111000003−30000
χ172-2-22-11-1100-2222-2-200-11−33−33-1-11100000−330000
χ183333333333-1-1000011-1-111110000-10000-1-1-111-1
χ193333333333-1-10000-1-1-1-1-1-1-1-100001000011-1-1-11
χ2033333333-3-3-1-1000011-1-111110000-10000-1-11-1-11
χ2133333333-3-3-1-10000-1-1-1-1-1-1-1-100001000011111-1
χ224444-2-2-2-20044-2-2-2-200-2-20000111100000000000
χ2344-4-444-4-400001-11-1000000001-11-10−i3i3i3−i3000000
χ2444-4-444-4-400001-11-1000000001-11-10i3−i3−i3i3000000
χ2544-4-444-4-40000-22-2200000000-22-2200000000000
χ2644-4-4-2-2220000-22-220000i6−i6−i6i61-11-100000000000
χ2744-4-4-2-2220000-22-220000−i6i6i6−i61-11-100000000000
χ284-44-44-4-444-4001-1-11000000001-1-110-1-111000000
χ294-44-44-4-44-44001-1-11000000001-1-11011-1-1000000
χ304-44-4-222-20000-222-2−2i22i200i2i2−i2−i21-1-1100000000000
χ314-44-4-222-20000-222-22i2−2i200−i2−i2i2i21-1-1100000000000
χ324-4-44-22-2200-44-2-22200-22000011-1-100000000000
χ336666-3-3-3-300-2-200002211-1-1-1-10000-20000110000
χ346666-3-3-3-300-2-20000-2-2111111000020000-1-10000
χ356-6-666-66-6002-2000000-220000000000000000000
χ366-6-66-33-33002-20000001-13−33−3000000000−330000
χ376-6-66-33-33002-20000001-1−33−330000000003−30000
χ3888-8-8-4-44400002-22-200000000-11-1100000000000
χ398-88-8-444-400002-2-2200000000-111-100000000000

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