Finite Group Databasebeta

← Group #11787982

Character table — Group #11787982

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444444444448888888812121212121212121212121218181818242424242424242424242424242424242424363672727272
order1222222233666666666666666666666644444444444422224412121212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1
χ6111111-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ91-1-11-111-11111-1-1-1-111-1-111-1-11-1111-1-1-1ii−i−iii−i−i11-1-111-1-11-1ii−i−iii−i−i11-1-111-1-11-1i−ii−i
χ101-1-11-111-11111-1-1-1-111-1-111-1-11-1111-1-1-1ii−i−iii−i−i-1-11111-1-1-11ii−i−iii−i−i-1-111-1-1111-1−ii−ii
χ111-1-11-111-11111-1-1-1-111-1-111-1-11-1111-1-1-1−i−iii−i−iii11-1-111-1-11-1−i−iii−i−iii11-1-111-1-11-1−ii−ii
χ121-1-11-111-11111-1-1-1-111-1-111-1-11-1111-1-1-1−i−iii−i−iii-1-11111-1-1-11−i−iii−i−iii-1-111-1-1111-1i−ii−i
χ131-1-11-11-111111-1-1-1-1-1-11111-1-11-1-1-1-1111ii−i−i−i−iii11-1-111-1-1-11ii−i−i−i−iii11-1-1-1-111-11i−i−ii
χ141-1-11-11-111111-1-1-1-1-1-11111-1-11-1-1-1-1111ii−i−i−i−iii-1-11111-1-11-1ii−i−i−i−iii-1-11111-1-1-11−iii−i
χ151-1-11-11-111111-1-1-1-1-1-11111-1-11-1-1-1-1111−i−iiiii−i−i11-1-111-1-1-11−i−iiiii−i−i11-1-1-1-111-11−iii−i
χ161-1-11-11-111111-1-1-1-1-1-11111-1-11-1-1-1-1111−i−iiiii−i−i-1-11111-1-11-1−i−iiiii−i−i-1-11111-1-1-11i−i−ii
χ1722222222222222222222222222222222000000000000-2-2-2-2000000000000000000-2-20000
χ18222222-2-222222222-2-2-2-2222222-2-2-2-2-2-2000000000000-2-2-2-2000000000000000000220000
χ192222-2-200222-222-2-200002-222-2-200000000002-22-200002-22-20000002-22-200000000000000
χ202222-2-200222-222-2-200002-222-2-20000000000-22-2200002-22-2000000-22-2200000000000000
χ212222-2-200222-222-2-200002-222-2-20000002-22-200000000-22-22002-22-2000000000000000000
χ222222-2-200222-222-2-200002-222-2-2000000-22-2200000000-22-2200-22-22000000000000000000
χ232-2-222-200222-2-2-22200002-2-2-2-2200000000002i−2i−2i2i00002-2-220000002i−2i−2i2i00000000000000
χ242-2-222-200222-2-2-22200002-2-2-2-220000000000−2i2i2i−2i00002-2-22000000−2i2i2i−2i00000000000000
χ252-2-222-200222-2-2-22200002-2-2-2-220000002i−2i−2i2i00000000-222-2002i−2i−2i2i000000000000000000
χ262-2-222-200222-2-2-22200002-2-2-2-22000000−2i2i2i−2i00000000-222-200−2i2i2i−2i000000000000000000
χ272-2-22-222-22222-2-2-2-222-2-222-2-22-2222-2-2-2000000000000-2-222000000000000000000-220000
χ282-2-22-22-222222-2-2-2-2-2-22222-2-22-2-2-2-2222000000000000-2-2220000000000000000002-20000
χ29444444441-21-2-2-2-2-21111-2-211111-2-21-2-2222222220000000000-1-1-1-1-1-1-1-100000000000000
χ30444444441-21-2-2-2-2-21111-2-211111-2-21-2-2-2-2-2-2-2-2-2-200000000001111111100000000000000
χ3144444444-21-211111-2-2-2-211-2-2-2-2-211-21100000000222200002200000000-1-1-1-1-1-1-1-1000000
χ3244444444-21-211111-2-2-2-211-2-2-2-2-211-21100000000-2-2-2-20000-2-20000000011111111000000
χ33444444-4-41-21-2-2-2-2-2-1-1-1-1-2-21111-122-1222222-2-2-2-20000000000-1-1-1-1111100000000000000
χ34444444-4-41-21-2-2-2-2-2-1-1-1-1-2-21111-122-122-2-2-2-2222200000000001111-1-1-1-100000000000000
χ35444444-4-4-21-211111222211-2-2-2-22-1-12-1-10000000022220000-2-200000000-1-1-1-11111000000
χ36444444-4-4-21-211111222211-2-2-2-22-1-12-1-100000000-2-2-2-2000022000000001111-1-1-1-1000000
χ374444-4-4001-212-2-2223333-2211-1-1-300-3002-22-22-22-20000000000-11-11-11-1100000000000000
χ384444-4-4001-212-2-2223333-2211-1-1-300-300-22-22-22-2200000000001-11-11-11-100000000000000
χ394444-4-4001-212-2-222-3-3-3-3-2211-1-13003002-22-2-22-220000000000-11-111-11-100000000000000
χ404444-4-4001-212-2-222-3-3-3-3-2211-1-1300300-22-222-22-200000000001-11-1-11-1100000000000000
χ4144-4-4000044-404-4000000-404-400000000000000002i−2i2i−2i000000000000002i−2i2i−2i0000000000
χ4244-4-4000044-404-4000000-404-40000000000000000−2i2i−2i2i00000000000000−2i2i−2i2i0000000000
χ4344-4-40000-212-31-13-3−2i32i3−2i32i3-13-22000−i3i30−i3i3000000002i−2i2i−2i00000000000000−ii−ii3−33−3000000
χ4444-4-40000-212-31-13-3−2i32i3−2i32i3-13-22000−i3i30−i3i300000000−2i2i−2i2i00000000000000i−ii−i−33−33000000
χ4544-4-40000-212-31-13-32i3−2i32i3−2i3-13-22000i3−i30i3−i3000000002i−2i2i−2i00000000000000−ii−ii−33−33000000
χ4644-4-40000-212-31-13-32i3−2i32i3−2i3-13-22000i3−i30i3−i300000000−2i2i−2i2i00000000000000i−ii−i3−33−3000000
χ474-44-4000044-40-44000000-40-4400000000000000002i−2i−2i2i000000000000002i−2i−2i2i0000000000
χ484-44-4000044-40-44000000-40-440000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i0000000000
χ494-44-40000-212-3-11-33−2i32i32i3−2i3-132-2000−i3i30i3−i3000000002i−2i−2i2i00000000000000−iii−i3−3−33000000
χ504-44-40000-212-3-11-33−2i32i32i3−2i3-132-2000−i3i30i3−i300000000−2i2i2i−2i00000000000000i−i−ii−333−3000000
χ514-44-40000-212-3-11-332i3−2i3−2i32i3-132-2000i3−i30−i3i3000000002i−2i−2i2i00000000000000−iii−i−333−3000000
χ524-44-40000-212-3-11-332i3−2i3−2i32i3-132-2000i3−i30−i3i300000000−2i2i2i−2i00000000000000i−i−ii3−3−33000000
χ534-4-444-4001-21222-2-233-3-3-22-1-1-11-3003002i−2i−2i2i2i−2i−2i2i0000000000−iii−i−iii−i00000000000000
χ544-4-444-4001-21222-2-233-3-3-22-1-1-11-300300−2i2i2i−2i−2i2i2i−2i0000000000i−i−iii−i−ii00000000000000
χ554-4-444-4001-21222-2-2-3-333-22-1-1-11300-3002i−2i−2i2i−2i2i2i−2i0000000000−iii−ii−i−ii00000000000000
χ564-4-444-4001-21222-2-2-3-333-22-1-1-11300-300−2i2i2i−2i2i−2i−2i2i0000000000i−i−ii−iii−i00000000000000
χ574-4-44-444-41-21-2222211-1-1-2-2-1-11-11-2-2-1222i2i−2i−2i2i2i−2i−2i0000000000−i−iii−i−iii00000000000000
χ584-4-44-444-41-21-2222211-1-1-2-2-1-11-11-2-2-122−2i−2i2i2i−2i−2i2i2i0000000000ii−i−iii−i−i00000000000000
χ594-4-44-444-4-21-21-1-1-1-1-2-2221122-22-2112-1-10000000022-2-200002-200000000-1-111-1-111000000
χ604-4-44-444-4-21-21-1-1-1-1-2-2221122-22-2112-1-100000000-2-2220000-220000000011-1-111-1-1000000
χ614-4-44-44-441-21-22222-1-111-2-2-1-11-1-1221-2-22i2i−2i−2i−2i−2i2i2i0000000000−i−iiiii−i−i00000000000000
χ624-4-44-44-441-21-22222-1-111-2-2-1-11-1-1221-2-2−2i−2i2i2i2i2i−2i−2i0000000000ii−i−i−i−iii00000000000000
χ634-4-44-44-44-21-21-1-1-1-122-2-21122-222-1-1-2110000000022-2-20000-2200000000-1-11111-1-1000000
χ644-4-44-44-44-21-21-1-1-1-122-2-21122-222-1-1-21100000000-2-22200002-20000000011-1-1-1-111000000
χ658888-8-800-42-4-222-2-200002-2-4-4440000000000000000000000000000000000000000000000
χ6688-8-800002-4-20-4400−2i32i3−2i32i3402-20002i3−2i302i3−2i30000000000000000000000000000000000000000
χ6788-8-800002-4-20-44002i3−2i32i3−2i3402-2000−2i32i30−2i32i30000000000000000000000000000000000000000
χ6888-8-80000-42462-2-660000-2-6-44000000000000000000000000000000000000000000000000
χ698-88-800002-4-204-400−2i32i32i3−2i340-220002i3−2i30−2i32i30000000000000000000000000000000000000000
χ708-88-800002-4-204-4002i3−2i3−2i32i340-22000−2i32i302i3−2i30000000000000000000000000000000000000000
χ718-88-80000-4246-226-60000-2-64-4000000000000000000000000000000000000000000000000
χ728-8-888-800-42-4-2-2-22200002-2444-40000000000000000000000000000000000000000000000

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