Finite Group Databasebeta

← Group #11878927

Character table — Group #11878927

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222444444444444488888888881818181818182424242424242424242424242424242436363636363636363648484848
order12222244334666666666666121212121212121244444444444444121212121212121248888888812121212
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
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-111-1-11111-1-1-1-111111-1-1-1-11-11-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-111-1-1-1-111111-1-1-1-111111-11-1
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-11111-1-1-1-11-1-1-1-11111-11-11
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-111-1-1-1-1111111111-1-1-1-1-11-11
χ91111-1-11111-111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-11-11-111-1-111-1-1-111-1-111-1-1-1-111
χ101111-1-11111-111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-11-11-1-111-1-111-1-1-111-1-111-1-111
χ111111-1-11111-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1111-11-111-1-111-1-1-1-1-111-1-11111-1-1
χ121111-1-11111-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-11-11-1-111-1-111-111-1-111-1-111-1-1
χ131111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-111111-1-111-1-1111-1-1-1-111-111-1-1-1-111-111-1
χ141111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-111111-1-11-111-1-1-11111-1-1-1-1-11111-1-1-111-1
χ151111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-11111-111-11-1-1111-1-1-1-111-1-1-11111-1-11-1-11
χ161111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-11111-111-1-111-1-1-11111-1-1-111-1-1-1-1111-1-11
χ172222222222222222222222222222222-2-2-2-2-2-20000000000000000-2000000000000
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-22222-2-20000000000000000-2000000000000
χ192222-2-22222-222-2-2-2-22222-2-222-2-222-2-2-2-222-2-200000000000000002000000000000
χ202222-2-2-2-222222-2-2-2-22222-2-2-2-222-2-22222-2-2-2-200000000000000002000000000000
χ212-22-22-2002202222-2-2-2-2-2-22-2000000002-22-200000000000000000002−22−22−22−20000
χ222-22-22-2002202222-2-2-2-2-2-22-2000000002-22-20000000000000000000−22−22−22−220000
χ232-22-22-2002202222-2-2-2-2-2-22-200000000-22-2200000000000000000002−22−2−22−220000
χ242-22-22-2002202222-2-2-2-2-2-22-200000000-22-220000000000000000000−22−222−22−20000
χ252-22-2-220022022-2-222-2-2-2-2-22000000002-2-2200000000000000000002−2−222−2−220000
χ262-22-2-220022022-2-222-2-2-2-2-22000000002-2-220000000000000000000−222−2−222−20000
χ272-22-2-220022022-2-222-2-2-2-2-2200000000-222-200000000000000000002−2−22−222−20000
χ282-22-2-220022022-2-222-2-2-2-2-2200000000-222-20000000000000000000−222−22−2−220000
χ29444444441-241-211111-2-21-2-21111-2-2-2-200000000002222-1-1-1-1-1-1-1-10000000000000
χ30444444441-241-211111-2-21-2-21111-2-2-2-20000000000-2-2-2-2111111110000000000000
χ3144444444-214-21-2-2-2-2-211-211-2-2-2-211110000002222000000000000000000000-1-1-1-1
χ3244444444-214-21-2-2-2-2-211-211-2-2-2-21111000000-2-2-2-20000000000000000000001111
χ33444444-4-41-2-41-211111-2-21-2-2-1-1-1-12222000000000022-2-2-1-1-1-111110000000000000
χ34444444-4-41-2-41-211111-2-21-2-2-1-1-1-122220000000000-2-2221111-1-1-1-10000000000000
χ35444444-4-4-21-4-21-2-2-2-2-211-2112222-1-1-1-10000002-22-2000000000000000000000-11-11
χ36444444-4-4-21-4-21-2-2-2-2-211-2112222-1-1-1-1000000-22-220000000000000000000001-11-1
χ374444-4-4441-2-41-2-1-1-1-11-2-212211-1-1-2-22200000000002-22-2-1-111-1-1110000000000000
χ384444-4-4441-2-41-2-1-1-1-11-2-212211-1-1-2-2220000000000-22-2211-1-111-1-10000000000000
χ394444-4-444-21-4-212222-211-2-1-1-2-22211-1-100000022-2-200000000000000000000011-1-1
χ404444-4-444-21-4-212222-211-2-1-1-2-22211-1-1000000-2-222000000000000000000000-1-111
χ414444-4-4-4-41-241-2-1-1-1-11-2-2122-1-11122-2-200000000002-2-22-1-11111-1-10000000000000
χ424444-4-4-4-41-241-2-1-1-1-11-2-2122-1-11122-2-20000000000-222-211-1-1-1-1110000000000000
χ434444-4-4-4-4-214-212222-211-2-1-122-2-2-1-1110000002-2-220000000000000000000001-1-11
χ444444-4-4-4-4-214-212222-211-2-1-122-2-2-1-111000000-222-2000000000000000000000-111-1
χ4544-4-4004-41-20-123-33-312-2-1001-13-32-200000000000000003−33−33−33−30000000000000
χ4644-4-4004-41-20-123-33-312-2-1001-13-32-20000000000000000−33−33−33−330000000000000
χ4744-4-4004-41-20-12-33-3312-2-1001-1-332-200000000000000003−3−333−3−330000000000000
χ4844-4-4004-41-20-12-33-3312-2-1001-1-332-20000000000000000−333−3−333−30000000000000
χ4944-4-4004-4440-4-400004-44-4004-400-440000000000000000000000000000000000000
χ5044-4-400-441-20-123-33-312-2-100-11-33-2200000000000000003−33−3−33−330000000000000
χ5144-4-400-441-20-123-33-312-2-100-11-33-220000000000000000−33−333−33−30000000000000
χ5244-4-400-441-20-12-33-3312-2-100-113-3-2200000000000000003−3−33−333−30000000000000
χ5344-4-400-441-20-12-33-3312-2-100-113-3-220000000000000000−333−33−3−330000000000000
χ5444-4-400-44440-4-400004-44-400-44004-40000000000000000000000000000000000000
χ554-4-440000440-4-40000-44-44000000000000004-400000000000000000000000000000
χ564-4-440000440-4-40000-44-4400000000000000-4400000000000000000000000000000
χ5788-8-8008-8-4204-20000-4-22400-4400-220000000000000000000000000000000000000
χ5888-8-800-88-4204-20000-4-224004-4002-20000000000000000000000000000000000000
χ598-88-88-8002-402-422-2-2-244-2-440000000000000000000000000000000000000000000
χ608-88-88-800-420-42-4-4444-2-242-20000000000000000000000000000000000000000000
χ618-88-8-88002-402-4-2-222-244-24-40000000000000000000000000000000000000000000
χ628-88-8-8800-420-4244-4-44-2-24-220000000000000000000000000000000000000000000
χ638-8-8800002-40-246-6-66-2-442000000000000000000000000000000000000000000000
χ648-8-8800002-40-24-666-6-2-442000000000000000000000000000000000000000000000
χ658-8-880000-4204-2000042-2-4000000006i−6i00000000000000000000000000000000000
χ668-8-880000-4204-2000042-2-400000000−6i6i00000000000000000000000000000000000

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