Finite Group Databasebeta

← Group #11792537

Character table — Group #11792537

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888888888888999918182424242424242424363636363636363636364848484848484848
order122244336666668812121212242424242424242422224422444444444488888866121212121212
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1
χ31111111111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ511111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ811111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ92222222222222222222222222222-2-2-2-2-2-2000000000000-2-2000000000000
χ1022222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000022000000000000
χ112222-2-22222222200-2-2-2-2000000002222-2-20000000022-2-200000000000000
χ122222-2-22222222200-2-2-2-2000000002222-2-200000000-2-22200000000000000
χ132222-2-22222222200-2-2-2-200000000-2-2-2-2220000000000000022-2-200000000
χ142222-2-22222222200-2-2-2-200000000-2-2-2-22200000000000000-2-22200000000
χ152-22-20022-22-22-2-2i2−i20000i2i2i2i2−i2−i2−i2−i22-22-20000000000002-2i2−i2i2−i2i2−i200000000
χ162-22-20022-22-22-2-2i2−i20000i2i2i2i2−i2−i2−i2−i22-22-2000000000000-22i2−i2−i2i2−i2i200000000
χ172-22-20022-22-22-2-2i2−i20000i2i2i2i2−i2−i2−i2−i2-22-2200000000002-200−i2i2i2−i2−i2i200000000
χ182-22-20022-22-22-2-2i2−i20000i2i2i2i2−i2−i2−i2−i2-22-220000000000-2200−i2i2−i2i2i2−i200000000
χ192-22-20022-22-22-2-2−i2i20000−i2−i2−i2−i2i2i2i2i22-22-20000000000002-2−i2i2−i2i2−i2i200000000
χ202-22-20022-22-22-2-2−i2i20000−i2−i2−i2−i2i2i2i2i22-22-2000000000000-22−i2i2i2−i2i2−i200000000
χ212-22-20022-22-22-2-2−i2i20000−i2−i2−i2−i2i2i2i2i2-22-2200000000002-200i2−i2−i2i2i2−i200000000
χ222-22-20022-22-22-2-2−i2i20000−i2−i2−i2−i2i2i2i2i2-22-220000000000-2200i2−i2i2−i2−i2i200000000
χ232-2-222-222-2-2-2-2220022-2-20000000022-2-22-2002i−2i00000000000000002i−2i0000
χ242-2-222-222-2-2-2-2220022-2-20000000022-2-22-200−2i2i0000000000000000−2i2i0000
χ252-2-222-222-2-2-2-2220022-2-200000000-2-222-220000002-200000000000000002-2
χ262-2-222-222-2-2-2-2220022-2-200000000-2-222-22000000-220000000000000000-22
χ272-2-22-2222-2-2-2-22200-2-2220000000022-2-2-222-200000000000000002-2000000
χ282-2-22-2222-2-2-2-22200-2-2220000000022-2-2-22-220000000000000000-22000000
χ292-2-22-2222-2-2-2-22200-2-22200000000-2-2222-200002-200000000000000002-200
χ302-2-22-2222-2-2-2-22200-2-22200000000-2-2222-20000-220000000000000000-2200
χ314444441-21-2-211-2441-21-211-2-211-2-200000000220022000000000000-1-100-1-1
χ324444441-21-2-211-2441-21-211-2-211-2-200000000-2-200-2-2000000000000110011
χ334444441-21-2-211-2-4-41-21-2-1-122-1-122000000002200-2-2000000000000-1-10011
χ344444441-21-2-211-2-4-41-21-2-1-122-1-12200000000-2-200220000000000001100-1-1
χ35444444-21-211-2-2144-21-21-2-211-2-211000000220022000000000000-1-100-1-100
χ36444444-21-211-2-2144-21-21-2-211-2-211000000-2-200-2-200000000000011001100
χ37444444-21-211-2-21-4-4-21-2122-1-122-1-10000002200-2-2000000000000-1-1001100
χ38444444-21-211-2-21-4-4-21-2122-1-122-1-1000000-2-200220000000000001100-1-100
χ3944-4-400444-44-4-4-4000000000000004-4-440000000000000000000000000000
χ4044-4-400444-44-4-4-400000000000000-444-40000000000000000000000000000
χ414-4-444-41-2-122-11-2001-2-123i−3i003i−3i00000000002i−2i002-2000000000000−ii00-11
χ424-4-444-41-2-122-11-2001-2-123i−3i003i−3i0000000000−2i2i00-22000000000000i−i001-1
χ434-4-444-41-2-122-11-2001-2-12−3i3i00−3i3i00000000002i−2i00-22000000000000−ii001-1
χ444-4-444-41-2-122-11-2001-2-12−3i3i00−3i3i0000000000−2i2i002-2000000000000i−i00-11
χ454-4-44-44-212-1-12-21002-1-21003-3003-30000002-2002-2000000000000-1100-1100
χ464-4-44-44-212-1-12-21002-1-21003-3003-3000000-2200-220000000000001-1001-100
χ474-4-44-44-212-1-12-21002-1-2100-3300-330000002-200-22000000000000-11001-100
χ484-4-44-44-212-1-12-21002-1-2100-3300-33000000-22002-20000000000001-100-1100
χ498888-8-82-42-4-422-400-24-240000000000000000000000000000000000000000
χ508888-8-8-42-422-4-42004-24-20000000000000000000000000000000000000000
χ5188-8-8002-424-4-2-2400000032−3200−32320000000000000000000000000000000000
χ5288-8-8002-424-4-2-24000000−32320032−320000000000000000000000000000000000
χ5388-8-800-42-4-2244-2000000003i2−3i200−3i23i200000000000000000000000000000000
χ5488-8-800-42-4-2244-200000000−3i23i2003i2−3i200000000000000000000000000000000
χ558-88-8002-4-2-442-244i2−4i20000i2i2−2i2−2i2−i2−i22i22i200000000000000000000000000000000
χ568-88-8002-4-2-442-24−4i24i20000−i2−i22i22i2i2i2−2i2−2i200000000000000000000000000000000
χ578-88-800-4242-2-44-24i2−4i20000−2i2−2i2i2i22i22i2−i2−i200000000000000000000000000000000
χ588-88-800-4242-2-44-2−4i24i200002i22i2−i2−i2−2i2−2i2i2i200000000000000000000000000000000
χ598-8-888-8-424-2-24-4200-424-20000000000000000000000000000000000000000
χ608-8-88-882-4-244-22-400-242-40000000000000000000000000000000000000000

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