Finite Group Databasebeta

← Group #11794077

Character table — Group #11794077

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444488888999912121212121212121616161618182424242424242424242424243636363648484848727272
order122244336666664121212122222888888881212121244224424242424242424244444661212444
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−i222−2−20000000000i2i2−i2−i222−2−2002i−2i0000000
χ1622-2-2002222-2-2-2-200000-22-22i2i2−i2−i2−2−2220000000000i2i2−i2−i2−2−22200−2i2i0000000
χ1722-2-2002222-2-2-2-200000-22-22−i2−i2i2i222−2−20000000000−i2−i2i2i222−2−200−2i2i0000000
χ1822-2-2002222-2-2-2-200000-22-22−i2−i2i2i2−2−2220000000000−i2−i2i2i2−2−222002i−2i0000000
χ192-22-20022-2-22-2-220000022-2-2i2−i2i2−i2i2−i2i2−i20000000000i2−i2i2−i2i2−i2i2−i22-2000000000
χ202-22-20022-2-22-2-220000022-2-2i2−i2i2−i2−i2i2−i2i20000000000i2−i2i2−i2−i2i2−i2i2-22000000000
χ212-22-20022-2-22-2-220000022-2-2−i2i2−i2i2i2−i2i2−i20000000000−i2i2−i2i2i2−i2i2−i2-22000000000
χ222-22-20022-2-22-2-220000022-2-2−i2i2−i2i2−i2i2−i2i20000000000−i2i2−i2i2−i2i2−i2i22-2000000000
χ232-2-222-222-2-2-222-2022-2-22-2-220000000000002-2002i−2i000000000000002i−2i000
χ242-2-222-222-2-2-222-2022-2-22-2-220000000000002-200−2i2i00000000000000−2i2i000
χ252-2-222-222-2-2-222-2022-2-2-222-200002i−2i−2i2i0000-22000000002i−2i−2i2i00000000000
χ262-2-222-222-2-2-222-2022-2-2-222-20000−2i2i2i−2i0000-2200000000−2i2i2i−2i00000000000
χ272-2-22-2222-2-2-222-20-2-2222-2-22000000000000-222-2000000000000002-200000
χ282-2-22-2222-2-2-222-20-2-2222-2-22000000000000-22-2200000000000000-2200000
χ292-2-22-2222-2-2-222-20-2-222-222-22-2-22000000002-200002-2-22000000000000000
χ302-2-22-2222-2-2-222-20-2-222-222-2-222-2000000002-20000-222-2000000000000000
χ314444441-21-2-21-2141-21-200000000222211-2-20000220000-1-1-1-1000000-1-1000
χ324444441-21-2-21-2141-21-200000000-2-2-2-211-2-20000-2-20000111100000011000
χ334444441-21-2-21-21-41-21-2000000002222-1-1220000-2-20000-1-1-1-100000011000
χ344444441-21-2-21-21-41-21-200000000-2-2-2-2-1-12200002200001111000000-1-1000
χ35444444-21-211-21-24-21-21000022220000-2-211002200-1-1-1-100000000-1-100000
χ36444444-21-211-21-24-21-210000-2-2-2-20000-2-21100-2-2001111000000001100000
χ37444444-21-211-21-2-4-21-2100002222000022-1-100-2-200-1-1-1-1000000001100000
χ38444444-21-211-21-2-4-21-210000-2-2-2-2000022-1-1002200111100000000-1-100000
χ3944-4-4004444-4-4-4-4000004-44-40000000000000000000000000000000000000
χ404-44-40044-4-44-4-4400000-4-4440000000000000000000000000000000000000
χ414-4-444-41-2-1221-2-101-2-12000000002i−2i−2i2i3-30000002i−2i0000−iii−i000000−ii000
χ424-4-444-41-2-1221-2-101-2-12000000002i−2i−2i2i-33000000−2i2i0000−iii−i000000i−i000
χ434-4-444-41-2-1221-2-101-2-1200000000−2i2i2i−2i3-3000000−2i2i0000i−i−ii000000i−i000
χ444-4-444-41-2-1221-2-101-2-1200000000−2i2i2i−2i-330000002i−2i0000i−i−ii000000−ii000
χ454-4-44-44-212-1-1-21202-1-2100002-2-220000003-3002-200-111-100000000-1100000
χ464-4-44-44-212-1-1-21202-1-2100002-2-22000000-3300-2200-111-1000000001-100000
χ474-4-44-44-212-1-1-21202-1-210000-222-20000003-300-22001-1-11000000001-100000
χ484-4-44-44-212-1-1-21202-1-210000-222-2000000-33002-2001-1-1100000000-1100000
χ498888-8-82-42-4-42-420-24-2400000000000000000000000000000000000000000
χ508888-8-8-42-422-42-404-24-200000000000000000000000000000000000000000
χ5188-8-8002-42-44-24-200000000000002222−22−2200000000000000−2−22200000000000
χ5288-8-8002-42-44-24-20000000000000−22−2222220000000000000022−2−200000000000
χ5388-8-800-42-42-24-240000000002i22i2−2i2−2i200000000000000−i2−i2i2i2000000000000000
χ5488-8-800-42-42-24-24000000000−2i2−2i22i22i200000000000000i2i2−i2−i2000000000000000
χ558-88-8002-4-24-4-24200000000000002i2−2i22i2−2i200000000000000−i2i2−i2i200000000000
χ568-88-8002-4-24-4-2420000000000000−2i22i2−2i22i200000000000000i2−i2i2−i200000000000
χ578-88-800-424-224-2-40000000002i2−2i22i2−2i200000000000000−i2i2−i2i2000000000000000
χ588-88-800-424-224-2-4000000000−2i22i2−2i22i200000000000000i2−i2i2−i2000000000000000
χ598-8-888-8-424-2-2-4240-424-200000000000000000000000000000000000000000
χ608-8-88-882-4-2442-4-20-242-400000000000000000000000000000000000000000

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