Finite Group Databasebeta

← Group #11878739

Character table — Group #11878739

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222444444444444488888888881818181818182424242424242424242424242424242436363636363636363648484848
order1222444433466666612121212121212121212121212122244442244444466661212121248888888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-111-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-11111-1-1-1-111-1-1
χ6111111-1-111-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-111
χ7111111-1-111-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1111111-1-1
χ8111111-1-111-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-11111-1-1-1-1-1-111
χ91111-1-11111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111-11-11-11-111-1-111-1-1111-1-111-1-11-11-1
χ101111-1-11111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111-11-1-11-1111-1-111-1-11-1-111-1-111-11-11
χ111111-1-11111-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-11-111-11-1-1-111-1-1111-1-111-1-1111-11-1
χ121111-1-11111-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-11-11-11-11-1-111-1-111111-1-111-1-1-11-11
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-111-1-1111-1-1-1-111-111-1-1-1-1111-1-11
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-11-111-111-1-1-1-111-1-1-11111-1-1-111-1
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-111-11-1-11-1-11111-1-1-1-1-11111-1-11-1-11
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1-111-1-1-11111-1-1-111-1-1-1-111-111-1
χ172222222222222222222222222222222-2-2-2-2-2-20000000000000000-2000000000000
χ18222222-2-222-2222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-200000000000000002000000000000
χ192222-2-22222-22222222222-2-2-2-222-2-2-2-22222-2-20000000000000000-2000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-200000000000000002000000000000
χ212-22-2002-22202-2-2-22-222-2-200002-200002-22-20000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ222-22-2002-22202-2-2-22-222-2-200002-200002-22-20000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ232-22-2002-22202-2-2-22-222-2-200002-20000-22-220000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ242-22-2002-22202-2-2-22-222-2-200002-20000-22-220000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ252-22-200-222202-2-2-22-2-2-2220000-2200002-2-220000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ262-22-200-222202-2-2-22-2-2-2220000-2200002-2-220000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ272-22-200-222202-2-2-22-2-2-2220000-220000-222-20000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ282-22-200-222202-2-2-22-2-2-2220000-220000-222-20000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ29444444441-2411-2-2-21-2-2-2-211-2-211-2-2110000000000222200000000000000000-1-1-1-1
χ30444444441-2411-2-2-21-2-2-2-211-2-211-2-2110000000000-2-2-2-2000000000000000001111
χ3144444444-214-2-2111-21111-2-211-2-211-2-200000022220000-1-1-1-1-1-1-1-10000000000000
χ3244444444-214-2-2111-21111-2-211-2-211-2-2000000-2-2-2-20000111111110000000000000
χ33444444-4-41-2-411-2-2-21222211-2-2-1-122-1-1000000000022-2-200000000000000000-1-111
χ34444444-4-41-2-411-2-2-21222211-2-2-1-122-1-10000000000-2-2220000000000000000011-1-1
χ35444444-4-4-21-4-2-2111-2-1-1-1-1-2-21122-1-12200000022-2-20000-1-1-1-111110000000000000
χ36444444-4-4-21-4-2-2111-2-1-1-1-1-2-21122-1-122000000-2-22200001111-1-1-1-10000000000000
χ374444-4-4441-2-411-2-2-21-2-2-2-2-1-1221122-1-100000000002-22-200000000000000000-11-11
χ384444-4-4441-2-411-2-2-21-2-2-2-2-1-1221122-1-10000000000-22-22000000000000000001-11-1
χ394444-4-444-21-4-2-2111-2111122-1-1-2-2-1-1220000002-22-20000-1-111-1-1110000000000000
χ404444-4-444-21-4-2-2111-2111122-1-1-2-2-1-122000000-22-22000011-1-111-1-10000000000000
χ414444-4-4-4-41-2411-2-2-212222-1-122-1-1-2-21100000000002-2-2200000000000000000-111-1
χ424444-4-4-4-41-2411-2-2-212222-1-122-1-1-2-2110000000000-222-2000000000000000001-1-11
χ434444-4-4-4-4-214-2-2111-2-1-1-1-122-1-12211-2-20000002-2-220000-1-11111-1-10000000000000
χ444444-4-4-4-4-214-2-2111-2-1-1-1-122-1-12211-2-2000000-222-2000011-1-1-1-1110000000000000
χ4544-4-44-400440-444-4-4-400004-44-400000000000000000000000000000000000000000
χ4644-4-44-400-2102-21-1-123i−3i3i−3i-221-1003i−3i0000000000000000−i3i3−i3i33−33−30000000000000
χ4744-4-44-400-2102-21-1-123i−3i3i−3i-221-1003i−3i0000000000000000i3−i3i3−i3−33−330000000000000
χ4844-4-44-400-2102-21-1-12−3i3i−3i3i-221-100−3i3i0000000000000000−i3i3−i3i3−33−330000000000000
χ4944-4-44-400-2102-21-1-12−3i3i−3i3i-221-100−3i3i0000000000000000i3−i3i3−i33−33−30000000000000
χ5044-4-4-4400440-444-4-4-40000-44-4400000000000000000000000000000000000000000
χ5144-4-4-4400-2102-21-1-123i−3i3i−3i2-2-1100−3i3i0000000000000000−i3i3i3−i33−3−330000000000000
χ5244-4-4-4400-2102-21-1-123i−3i3i−3i2-2-1100−3i3i0000000000000000i3−i3−i3i3−333−30000000000000
χ5344-4-4-4400-2102-21-1-12−3i3i−3i3i2-2-11003i−3i0000000000000000−i3i3i3−i3−333−30000000000000
χ5444-4-4-4400-2102-21-1-12−3i3i−3i3i2-2-11003i−3i0000000000000000i3−i3−i3i33−3−330000000000000
χ554-4-440000440-4-4-44-440000000000000000004-400000000000000000000000000000
χ564-4-440000440-4-4-44-44000000000000000000-4400000000000000000000000000000
χ5788-8-88-8002-40-22-444-200002-2-4400000000000000000000000000000000000000000
χ5888-8-8-88002-40-22-444-20000-224-400000000000000000000000000000000000000000
χ598-88-8008-82-402-244-4-2-4-44400002-2000000000000000000000000000000000000000
χ608-88-8008-8-420-44-2-22422-2-20000-44000000000000000000000000000000000000000
χ618-88-800-882-402-244-4-244-4-40000-22000000000000000000000000000000000000000
χ628-88-800-88-420-44-2-224-2-22200004-4000000000000000000000000000000000000000
χ638-8-8800002-40-2-24-4420000000000006-600000000000000000000000000000000000
χ648-8-8800002-40-2-24-442000000000000-6600000000000000000000000000000000000
χ658-8-880000-42044-22-2-46i−6i−6i6i000000000000000000000000000000000000000000000
χ668-8-880000-42044-22-2-4−6i6i6i−6i000000000000000000000000000000000000000000000

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