Finite Group Databasebeta

← Group #11794668

Character table — Group #11794668

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444488888999912121212121212121616161618182424242424242424242424243636363648484848727272
order1222443366666621212121222228888888866664444442424242424242424444412121212244
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
χ112222-2-2222222220-2-2-2-22222000000000000-2-200000000000022-2-20000000
χ122222-2-2222222220-2-2-2-22222000000000000-2-2000000000000-2-2220000000
χ132222-2-2222222220-2-2-2-2-2-2-2-2000000000000220000000000000000000002i−2i
χ142222-2-2222222220-2-2-2-2-2-2-2-200000000000022000000000000000000000−2i2i
χ1522-2-2002222-2-2-2-200000-22-22i2i2−i2−i2i2i2−i2−i20000000000i2i2−i2−i2i2i2−i2−i2002-20000000
χ1622-2-2002222-2-2-2-200000-22-22i2i2−i2−i2−i2−i2i2i20000000000i2i2−i2−i2−i2−i2i2i200-220000000
χ1722-2-2002222-2-2-2-200000-22-22−i2−i2i2i2i2i2−i2−i20000000000−i2−i2i2i2i2i2−i2−i200-220000000
χ1822-2-2002222-2-2-2-200000-22-22−i2−i2i2i2−i2−i2i2i20000000000−i2−i2i2i2−i2−i2i2i2002-20000000
χ192-22-22-222-2-222-2-202-22-22-2-2200002i−2i2i−2i00002-2000000002i−2i2i−2i00000000000
χ202-22-22-222-2-222-2-202-22-22-2-220000−2i2i−2i2i00002-200000000−2i2i−2i2i00000000000
χ212-22-22-222-2-222-2-202-22-2-222-2000000000000-22002i−2i000000000000002i−2i000
χ222-22-22-222-2-222-2-202-22-2-222-2000000000000-2200−2i2i00000000000000−2i2i000
χ232-22-2-2222-2-222-2-20-22-222-2-222i−2i2i−2i00000000-2200002i−2i2i−2i000000000000000
χ242-22-2-2222-2-222-2-20-22-222-2-22−2i2i−2i2i00000000-220000−2i2i−2i2i000000000000000
χ252-22-2-2222-2-222-2-20-22-22-222-20000000000002-22i−2i000000000000002i−2i00000
χ262-22-2-2222-2-222-2-20-22-22-222-20000000000002-2−2i2i00000000000000−2i2i00000
χ272-2-220022-2-2-2-22200000-2-2222−2−222−2−2200000000002−2−222−2−222-2000000000
χ282-2-220022-2-2-2-22200000-2-2222−2−22−222−200000000002−2−22−222−2-22000000000
χ292-2-220022-2-2-2-22200000-2-222−222−22−2−220000000000−222−22−2−22-22000000000
χ302-2-220022-2-2-2-22200000-2-222−222−2−222−20000000000−222−2−222−22-2000000000
χ314444441-21-21-21-241-2-2100000000222211-2-20000220000-1-1-1-1000000-1-1000
χ324444441-21-21-21-241-2-2100000000-2-2-2-211-2-20000-2-20000111100000011000
χ334444441-21-21-21-2-41-2-21000000002222-1-1220000-2-20000-1-1-1-100000011000
χ344444441-21-21-21-2-41-2-2100000000-2-2-2-2-1-12200002200001111000000-1-1000
χ35444444-21-21-21-214-211-2000022220000-2-211002200-1-1-1-100000000-1-100000
χ36444444-21-21-21-214-211-20000-2-2-2-20000-2-21100-2-2001111000000001100000
χ37444444-21-21-21-21-4-211-200002222000022-1-100-2-200-1-1-1-1000000001100000
χ38444444-21-21-21-21-4-211-20000-2-2-2-2000022-1-1002200111100000000-1-100000
χ3944-4-4004444-4-4-4-4000004-44-40000000000000000000000000000000000000
χ404-44-44-41-2-121-2-12012-2-1000000002i−2i2i−2i3-30000002i−2i0000−ii−ii000000−ii000
χ414-44-44-41-2-121-2-12012-2-1000000002i−2i2i−2i-33000000−2i2i0000−ii−ii000000i−i000
χ424-44-44-41-2-121-2-12012-2-100000000−2i2i−2i2i3-3000000−2i2i0000i−ii−i000000i−i000
χ434-44-44-41-2-121-2-12012-2-100000000−2i2i−2i2i-330000002i−2i0000i−ii−i000000−ii000
χ444-44-4-44-212-1-212-1021-1-200002i−2i2i−2i0000003-3002i−2i00−ii−ii00000000−ii00000
χ454-44-4-44-212-1-212-1021-1-200002i−2i2i−2i000000-3300−2i2i00−ii−ii00000000i−i00000
χ464-44-4-44-212-1-212-1021-1-20000−2i2i−2i2i0000003-300−2i2i00i−ii−i00000000i−i00000
χ474-44-4-44-212-1-212-1021-1-20000−2i2i−2i2i000000-33002i−2i00i−ii−i00000000−ii00000
χ484-4-440044-4-4-4-4440000044-4-40000000000000000000000000000000000000
χ498888-8-82-42-42-42-40-244-200000000000000000000000000000000000000000
χ508888-8-8-42-42-42-4204-2-2400000000000000000000000000000000000000000
χ5188-8-8002-42-4-24-2400000000000002i22i2−2i2−2i200000000000000−i2−i2i2i200000000000
χ5288-8-8002-42-4-24-240000000000000−2i2−2i22i22i200000000000000i2i2−i2−i200000000000
χ5388-8-800-42-424-24-20000000002i22i2−2i2−2i200000000000000−i2−i2i2i2000000000000000
χ5488-8-800-42-424-24-2000000000−2i2−2i22i22i200000000000000i2i2−i2−i2000000000000000
χ558-88-88-8-424-2-424-20-4-22400000000000000000000000000000000000000000
χ568-88-8-882-4-242-4-240-2-44200000000000000000000000000000000000000000
χ578-8-88002-4-24-242-4000000000000022−22−222200000000000000−222−200000000000
χ588-8-88002-4-24-242-40000000000000−222222−22000000000000002−2−2200000000000
χ598-8-8800-424-24-2-4200000000022−22−222200000000000000−222−2000000000000000
χ608-8-8800-424-24-2-42000000000−222222−22000000000000002−2−22000000000000000

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