Finite Group Databasebeta

← Group #11878870

Character table — Group #11878870

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222444444444444488888888881818181818182424242424242424242424242424242436363636363636363648484848
order122222443346666666666661212121212121212444444222244446666666648888888812121212
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
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-11111-1-1-1-111111-1-1-1-11-11-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-111111-1-1-1-11-1-1-1-11111-11-11
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-1-1-111111-1-1-1-111111-11-1
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11-1-1-1-1111111111-1-1-1-1-11-11
χ91111-1-11111-1111-1-1-1-1111-1-111-1-111-1-111-1-1111-11-111-1-111-1-111-1-1-111-1-111-1-1-1-111
χ101111-1-11111-1111-1-1-1-1111-1-111-1-111-1-111-1-1111-11-1-1-11111-1-111-1-1-1-1-111-1-11111-1-1
χ111111-1-11111-1111-1-1-1-1111-1-111-1-111-1-111-1-111-11-1111-1-1-1-111-1-111-1-1-111-1-111-1-111
χ121111-1-11111-1111-1-1-1-1111-1-111-1-111-1-111-1-111-11-11-1-111-1-111-1-111-111-1-111-1-111-1-1
χ131111-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-111-1-111111-1-111-1-1111-1-1-1-111-111-1-1-1-111-111-1
χ141111-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-111-1-111111-1-11-111-111-1-1-1-111-1-1-11111-1-11-1-11
χ151111-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-111-1-11111-111-11-1-11-1-11111-1-1-1-1-11111-1-1-111-1
χ161111-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-111-1-11111-111-1-111-1-1-11111-1-1-111-1-1-1-1111-1-11
χ172222222222222222222222222222222-2-2-2-2-2-20000000000000000-2000000000000
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-22222-2-20000000000000000-2000000000000
χ192222-2-22222-2222-2-2-2-2222-2-222-2-222-2-2-2-222-2-200000000000000002000000000000
χ202222-2-2-2-2222222-2-2-2-2222-2-2-2-222-2-22222-2-2-2-200000000000000002000000000000
χ212-22-22-20022022-222-2-2-2-2-22-2000000002-22-20000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ222-22-22-20022022-222-2-2-2-2-22-2000000002-22-20000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ232-22-22-20022022-222-2-2-2-2-22-200000000-22-220000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ242-22-22-20022022-222-2-2-2-2-22-200000000-22-220000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ252-22-2-220022022-2-2-222-2-2-2-22000000002-2-220000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ262-22-2-220022022-2-2-222-2-2-2-22000000002-2-220000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ272-22-2-220022022-2-2-222-2-2-2-2200000000-222-20000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ282-22-2-220022022-2-2-222-2-2-2-2200000000-222-20000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ29444444441-241-2-2-2-2-2-2-21111-2-2-2-211110000000000222200000000000000000-1-1-1-1
χ30444444441-241-2-2-2-2-2-2-21111-2-2-2-211110000000000-2-2-2-2000000000000000001111
χ3144444444-214-21111111-2-2-2-21111-2-2-2-200000022220000-1-1-1-1-1-1-1-10000000000000
χ3244444444-214-21111111-2-2-2-21111-2-2-2-2000000-2-2-2-20000111111110000000000000
χ33444444-4-41-2-41-2-2-2-2-2-2-211112222-1-1-1-100000000002-22-200000000000000000-11-11
χ34444444-4-41-2-41-2-2-2-2-2-2-211112222-1-1-1-10000000000-22-22000000000000000001-11-1
χ35444444-4-4-21-4-21111111-2-2-2-2-1-1-1-1222200000022-2-20000-1-1-1-111110000000000000
χ36444444-4-4-21-4-21111111-2-2-2-2-1-1-1-12222000000-2-22200001111-1-1-1-10000000000000
χ374444-4-4441-2-41-2-22222-211-1-1-2-22211-1-1000000000022-2-20000000000000000011-1-1
χ384444-4-4441-2-41-2-22222-211-1-1-2-22211-1-10000000000-2-22200000000000000000-1-111
χ394444-4-444-21-4-211-1-1-1-11-2-22211-1-1-2-2220000002-22-20000-1-111-1-1110000000000000
χ404444-4-444-21-4-211-1-1-1-11-2-22211-1-1-2-222000000-22-22000011-1-111-1-10000000000000
χ414444-4-4-4-41-241-2-22222-211-1-122-2-2-1-11100000000002-2-22000000000000000001-1-11
χ424444-4-4-4-41-241-2-22222-211-1-122-2-2-1-1110000000000-222-200000000000000000-111-1
χ434444-4-4-4-4-214-211-1-1-1-11-2-222-1-11122-2-20000002-2-220000-1-11111-1-10000000000000
χ444444-4-4-4-4-214-211-1-1-1-11-2-222-1-11122-2-2000000-222-2000011-1-1-1-1110000000000000
χ4544-4-4004-4440-4-4-400004-44004-4004-40000000000000000000000000000000000000
χ4644-4-4004-4-2102-1-13-33-312-2001-13-3-220000000000000000−i3i3−i3i3−i3i3−i3i30000000000000
χ4744-4-4004-4-2102-1-13-33-312-2001-13-3-220000000000000000i3−i3i3−i3i3−i3i3−i30000000000000
χ4844-4-4004-4-2102-1-1-33-3312-2001-1-33-220000000000000000−i3i3i3−i3−i3i3i3−i30000000000000
χ4944-4-4004-4-2102-1-1-33-3312-2001-1-33-220000000000000000i3−i3−i3i3i3−i3−i3i30000000000000
χ5044-4-400-44440-4-4-400004-4400-4400-440000000000000000000000000000000000000
χ5144-4-400-44-2102-1-13-33-312-200-11-332-20000000000000000−i3i3−i3i3i3−i3i3−i30000000000000
χ5244-4-400-44-2102-1-13-33-312-200-11-332-20000000000000000i3−i3i3−i3−i3i3−i3i30000000000000
χ5344-4-400-44-2102-1-1-33-3312-200-113-32-20000000000000000−i3i3i3−i3i3−i3−i3i30000000000000
χ5444-4-400-44-2102-1-1-33-3312-200-113-32-20000000000000000i3−i3−i3i3−i3i3i3−i30000000000000
χ554-4-440000440-4-440000-44-4000000000000004-400000000000000000000000000000
χ564-4-440000440-4-440000-44-400000000000000-4400000000000000000000000000000
χ5788-8-8008-82-40-2440000-4-2200-44002-20000000000000000000000000000000000000
χ5888-8-800-882-40-2440000-4-22004-400-220000000000000000000000000000000000000
χ598-88-88-8002-402-44-4-4444-2-22-20000000000000000000000000000000000000000000
χ608-88-88-800-420-42-222-2-2-244-440000000000000000000000000000000000000000000
χ618-88-8-88002-402-4444-4-44-2-2-220000000000000000000000000000000000000000000
χ628-88-8-8800-420-42-2-2-222-2444-40000000000000000000000000000000000000000000
χ638-8-8800002-40-24-4000042-2000000006i−6i00000000000000000000000000000000000
χ648-8-8800002-40-24-4000042-200000000−6i6i00000000000000000000000000000000000
χ658-8-880000-4204-226-6-66-2-44000000000000000000000000000000000000000000000
χ668-8-880000-4204-22-666-6-2-44000000000000000000000000000000000000000000000

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