Finite Group Databasebeta

← Group #11878872

Character table — Group #11878872

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222444444444444488888888881818181818182424242424242424242424242424242436363636363636363648484848
order1222444433466666612121212121212121212121212122244442222444412121212121212124888888886666
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111111-1-1-1-111-1-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11-1-1-1-11111-1-111
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111111-1-1-1-1-1-111
χ91111-1-11111-1111111-1-1-1-1-1-111-1-111-1-1-1-111111-11-11-11-111-1-111-1-1-111-1-111-1-11-11-1
χ101111-1-11111-1111111-1-1-1-1-1-111-1-111-1-1-1-111111-11-1-11-11-1-111-1-111-1-1-111-1-1111-11-1
χ111111-1-11111-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-11-111-11-111-1-111-1-1-1-1-111-1-111-11-11
χ121111-1-11111-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-11-11-11-11-1-111-1-111-111-1-111-1-1-11-11
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1111-1-111-1-1111-1-1-1-111-111-1-1-1-1111-1-11
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1111-1-11-111-1-1-11111-1-1-1-1-11111-1-11-1-11
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-111-111-11-1-1111-1-1-1-111-1-1-11111-1-1-111-1
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-111-111-1-111-1-1-11111-1-1-111-1-1-1-111-111-1
χ172222222222222222222222222222222-2-2-2-2-2-20000000000000000-2000000000000
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-22222-2-20000000000000000-2000000000000
χ192222-2-22222-2222222-2-2-2-2-2-222-2-222-2-222-2-2-2-200000000000000002000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-200000000000000002000000000000
χ2122-2-22-20022022-2-2-2-222-2-22-2000000002-22-20000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ2222-2-22-20022022-2-2-2-222-2-22-2000000002-22-20000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ2322-2-22-20022022-2-2-2-222-2-22-200000000-22-220000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ2422-2-22-20022022-2-2-2-222-2-22-200000000-22-220000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ2522-2-2-220022022-2-2-2-2-2-222-22000000002-2-220000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ2622-2-2-220022022-2-2-2-2-2-222-22000000002-2-220000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ2722-2-2-220022022-2-2-2-2-2-222-2200000000-222-20000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ2822-2-2-220022022-2-2-2-2-2-222-2200000000-222-20000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ29444444441-241-2-2-2111111-2-2-2-2-2-2111100000000002222-1-1-1-1-1-1-1-10000000000000
χ30444444441-241-2-2-2111111-2-2-2-2-2-211110000000000-2-2-2-2111111110000000000000
χ3144444444-214-2111-2-2-2-2-2-2111111-2-2-2-20000002222000000000000000000000-1-1-1-1
χ3244444444-214-2111-2-2-2-2-2-2111111-2-2-2-2000000-2-2-2-20000000000000000000001111
χ33444444-4-41-2-41-2-2-2111111-2-22222-1-1-1-1000000000022-2-2-1-1-1-111110000000000000
χ34444444-4-41-2-41-2-2-2111111-2-22222-1-1-1-10000000000-2-2221111-1-1-1-10000000000000
χ35444444-4-4-21-4-2111-2-2-2-2-2-211-1-1-1-1222200000022-2-2000000000000000000000-1-111
χ36444444-4-4-21-4-2111-2-2-2-2-2-211-1-1-1-12222000000-2-22200000000000000000000011-1-1
χ374444-4-4441-2-41-2-2-211-1-1-1-122-2-22211-1-100000000002-22-2-1-111-1-1110000000000000
χ384444-4-4441-2-41-2-2-211-1-1-1-122-2-22211-1-10000000000-22-2211-1-111-1-10000000000000
χ394444-4-444-21-4-2111-2-22222-1-111-1-1-2-2220000002-22-2000000000000000000000-11-11
χ404444-4-444-21-4-2111-2-22222-1-111-1-1-2-222000000-22-220000000000000000000001-11-1
χ414444-4-4-4-41-241-2-2-211-1-1-1-12222-2-2-1-11100000000002-2-22-1-11111-1-10000000000000
χ424444-4-4-4-41-241-2-2-211-1-1-1-12222-2-2-1-1110000000000-222-211-1-1-1-1110000000000000
χ434444-4-4-4-4-214-2111-2-22222-1-1-1-11122-2-20000002-2-22000000000000000000000-111-1
χ444444-4-4-4-4-214-2111-2-22222-1-1-1-11122-2-2000000-222-20000000000000000000001-1-11
χ454-44-40000440-4-44-44-40000000000000000004-400000000000000000000000000000
χ464-44-40000440-4-44-44-4000000000000000000-4400000000000000000000000000000
χ474-4-44004-41-20-122-2-113i−3i3i−3i002-2001-13i−3i000000000000003−3−i3i33−3−i3i30000000000000
χ484-4-44004-41-20-122-2-113i−3i3i−3i002-2001-13i−3i00000000000000−33i3−i3−33i3−i30000000000000
χ494-4-44004-41-20-122-2-11−3i3i−3i3i002-2001-1−3i3i000000000000003−3i3−i33−3i3−i30000000000000
χ504-4-44004-41-20-122-2-11−3i3i−3i3i002-2001-1−3i3i00000000000000−33−i3i3−33−i3i30000000000000
χ514-4-44004-4440-4-4-44-44000000-44004-40000000000000000000000000000000000000
χ524-4-4400-441-20-122-2-113i−3i3i−3i00-2200-11−3i3i000000000000003−3−i3i3−33i3−i30000000000000
χ534-4-4400-441-20-122-2-113i−3i3i−3i00-2200-11−3i3i00000000000000−33i3−i33−3−i3i30000000000000
χ544-4-4400-441-20-122-2-11−3i3i−3i3i00-2200-113i−3i000000000000003−3i3−i3−33−i3i30000000000000
χ554-4-4400-441-20-122-2-11−3i3i−3i3i00-2200-113i−3i00000000000000−33−i3i33−3i3−i30000000000000
χ564-4-4400-44440-4-4-44-440000004-400-440000000000000000000000000000000000000
χ5788-8-88-8002-402-444-2-222-2-2-440000000000000000000000000000000000000000000
χ5888-8-88-800-420-42-2-244-4-4442-20000000000000000000000000000000000000000000
χ5988-8-8-88002-402-444-2-2-2-2224-40000000000000000000000000000000000000000000
χ6088-8-8-8800-420-42-2-24444-4-4-220000000000000000000000000000000000000000000
χ618-88-800002-40-24-442-26i−6i−6i6i000000000000000000000000000000000000000000000
χ628-88-800002-40-24-442-2−6i6i6i−6i000000000000000000000000000000000000000000000
χ638-88-80000-4204-22-2-44000000006-6000000000000000000000000000000000000000
χ648-88-80000-4204-22-2-4400000000-66000000000000000000000000000000000000000
χ658-8-88008-8-4204-2-224-4000000-2200-440000000000000000000000000000000000000
χ668-8-8800-88-4204-2-224-40000002-2004-40000000000000000000000000000000000000

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