Finite Group Databasebeta

← Group #11792568

Character table — Group #11792568

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444488888999912121212121212121616161618182424242424242424242424243636363648484848727272
order12224433666666212121212222244448888666644224412121212242424248888661212244
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11-1-1
χ311111111111111111111111-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111
χ511111111111111-11111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1
χ611111111111111-1111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-111
χ711111111111111-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-111
χ811111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1
χ92222222222222222222-2-2-2-2000000002222-2-200000000000000000000-200
χ1022222222222222-22222-2-2-2-200000000-2-2-2-2-2-200000000000000000000200
χ112222-2-2222222220-2-2-2-2222222-2-200000000-2-2000022-2-2000000000000000
χ122222-2-2222222220-2-2-2-22222-2-22200000000-2-20000-2-222000000000000000
χ132222-2-2222222220-2-2-2-2-2-2-2-2000000000000222-2000000000000002-200000
χ142222-2-2222222220-2-2-2-2-2-2-2-200000000000022-2200000000000000-2200000
χ1522-2-200222-2-22-2-20000022-2-2002-2i2i2−i2−i20000000000002-2i2i2−i2−i2i2i2−i2−i20000000
χ1622-2-200222-2-22-2-20000022-2-2002-2−i2−i2i2i20000000000002-2−i2−i2i2i2−i2−i2i2i20000000
χ1722-2-200222-2-22-2-20000022-2-200-22i2i2−i2−i2000000000000-22i2i2−i2−i2−i2−i2i2i20000000
χ1822-2-200222-2-22-2-20000022-2-200-22−i2−i2i2i2000000000000-22−i2−i2i2i2i2i2−i2−i20000000
χ192-22-20022-22-2-22-2000002-22-22-200i2−i2i2−i200000000002-200i2−i2i2−i2i2−i2i2−i20000000
χ202-22-20022-22-2-22-2000002-22-22-200−i2i2−i2i200000000002-200−i2i2−i2i2−i2i2−i2i20000000
χ212-22-20022-22-2-22-2000002-22-2-2200i2−i2i2−i20000000000-2200i2−i2i2−i2−i2i2−i2i20000000
χ222-22-20022-22-2-22-2000002-22-2-2200−i2i2−i2i20000000000-2200−i2i2−i2i2i2−i2i2−i20000000
χ232-2-222-222-2-22-2-2202-22-22-2-22000000000000-220000000000002-2-220000000
χ242-2-222-222-2-22-2-2202-22-22-2-22000000000000-22000000000000-222-20000000
χ252-2-222-222-2-22-2-2202-22-2-222-20000000000002-20000000000000000000002i−2i
χ262-2-222-222-2-22-2-2202-22-2-222-20000000000002-2000000000000000000000−2i2i
χ272-2-22-2222-2-22-2-220-22-222-2-2200002-2-2200002-2000000002-2-2200000000000
χ282-2-22-2222-2-22-2-220-22-222-2-220000-222-200002-200000000-222-200000000000
χ292-2-22-2222-2-22-2-220-22-22-222-2000000000000-22002-2000000000000002-2000
χ302-2-22-2222-2-22-2-220-22-22-222-2000000000000-2200-2200000000000000-22000
χ314444441-211-2-2-214-2-21100000000222211-2-20000220000-1-1-1-1000000-1-1000
χ324444441-211-2-2-214-2-21100000000-2-2-2-211-2-20000-2-20000111100000011000
χ334444441-211-2-2-21-4-2-211000000002222-1-1220000-2-20000-1-1-1-100000011000
χ344444441-211-2-2-21-4-2-21100000000-2-2-2-2-1-12200002200001111000000-1-1000
χ35444444-21-2-2111-2411-2-2000022220000-2-211002200-1-1-1-100000000-1-100000
χ36444444-21-2-2111-2411-2-20000-2-2-2-20000-2-21100-2-2001111000000001100000
χ37444444-21-2-2111-2-411-2-200002222000022-1-100-2-200-1-1-1-1000000001100000
χ38444444-21-2-2111-2-411-2-20000-2-2-2-2000022-1-1002200111100000000-1-100000
χ394444-4-4-21-2-2111-20-1-122000022-2-20000003-3002-200-1-11100000000-1100000
χ404444-4-4-21-2-2111-20-1-122000022-2-2000000-3300-2200-1-111000000001-100000
χ414444-4-4-21-2-2111-20-1-1220000-2-2220000003-300-220011-1-1000000001-100000
χ424444-4-4-21-2-2111-20-1-1220000-2-222000000-33002-20011-1-100000000-1100000
χ4344-4-400444-4-44-4-400000-4-4440000000000000000000000000000000000000
χ444-44-40044-44-4-44-400000-44-440000000000000000000000000000000000000
χ454-4-44-441-2-1-1-222102-2-11000000002-2-223-30000002-20000-111-1000000-11000
χ464-4-44-441-2-1-1-222102-2-11000000002-2-22-33000000-220000-111-10000001-1000
χ474-4-44-441-2-1-1-222102-2-1100000000-222-23-3000000-2200001-1-110000001-1000
χ484-4-44-441-2-1-1-222102-2-1100000000-222-2-330000002-200001-1-11000000-11000
χ498888-8-82-422-4-4-42044-2-200000000000000000000000000000000000000000
χ5088-8-8002-42-24-44-200000000000002i22i2−2i2−2i200000000000000−i2−i2i2i200000000000
χ5188-8-8002-42-24-44-20000000000000−2i2−2i22i22i200000000000000i2i2−i2−i200000000000
χ5288-8-800-42-44-22-24000000000004-40000000000000000-22000000000000000
χ5388-8-800-42-44-22-2400000000000-4400000000000000002-2000000000000000
χ548-88-8002-4-2244-4-200000000000002i2−2i22i2−2i200000000000000−i2i2−i2i200000000000
χ558-88-8002-4-2244-4-20000000000000−2i22i2−2i22i200000000000000i2−i2i2−i200000000000
χ568-88-800-424-4-2-2240000000004-40000000000000000-2200000000000000000
χ578-88-800-424-4-2-224000000000-4400000000000000002-200000000000000000
χ588-8-888-82-4-2-2-44420-442-200000000000000000000000000000000000000000
χ598-8-888-8-42442-2-2-402-2-4400000000000000000000000000000000000000000
χ608-8-88-88-42442-2-2-40-224-400000000000000000000000000000000000000000

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