Finite Group Databasebeta

← Group #11867101

Character table — Group #11867101

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888888888888999918182424242424242424363636363636363636364848484848484848
order122222223366666666666666666644444422444444448888888866121212121212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-111-1-11-111-1-1-1-1-1-1-1-11-1111-1-1-1
χ31111111111111111111111111111111111-11-1-111-1111-1-1-1-1-1-1-1-1-11-1-1-1111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ5111111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1111-1-11-1-1
χ6111111-1-1111111111111-1-1-1-1-1-1-1-11111111-1-1-1111-1-1-1-1-1-1-111111-11-1-1-111
χ7111111-1-1111111111111-1-1-1-1-1-1-1-1111111-1111-1-1-11-1-1-1-1-1-11111-11-1111-1-1
χ8111111-1-1111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-111
χ91111-1-11-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-11-111-1-111-1-111-11-1-11-1
χ101111-1-11-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-11-1-11-111-1-1-111-1-1111-1-11-11-11
χ111111-1-11-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-111-11-11-1-1-111-1-111-111-11-11-1
χ121111-1-11-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-11111-111-1-111-1-1-1-11-111-11
χ131111-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1-1111-1-1-1-11111-1-11-1-11
χ141111-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111-1-11-11-1-11111-1-11-1-1-1111-1
χ151111-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-111-1-11-1-11111-1-1-1111-1-1-11
χ161111-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-11-111-1111-1-1-1-111-1-111-111-1
χ172222222222222222222222222222-2-2-2-2-2-200000000-2-20000000000000000
χ18222222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000220000000000000000
χ192222-2-22-222222222-2-2-2-22222-2-2-2-22222-2-200000000-220000000000000000
χ202222-2-2-2222222222-2-2-2-2-2-2-2-222222222-2-2000000002-20000000000000000
χ212-2-222-2002222-2-2-2-222-2-20000000022-2-22-2000000000000002i−2i2i−2i00000000
χ222-2-222-2002222-2-2-2-222-2-20000000022-2-22-200000000000000−2i2i−2i2i00000000
χ232-2-222-2002222-2-2-2-222-2-200000000-2-222-2200000000002-22-2000000000000
χ242-2-222-2002222-2-2-2-222-2-200000000-2-222-220000000000-22-22000000000000
χ252-2-22-22002222-2-2-2-2-2-2220000000022-2-2-2200000000002-2-22000000000000
χ262-2-22-22002222-2-2-2-2-2-2220000000022-2-2-220000000000-222-2000000000000
χ272-2-22-22002222-2-2-2-2-2-22200000000-2-2222-2000000000000002i−2i−2i2i00000000
χ282-2-22-22002222-2-2-2-2-2-22200000000-2-2222-200000000000000−2i2i2i−2i00000000
χ29444444441-21-211-2-21-21-211-2-211-2-20000000200220200000000000-1000-1-1-1
χ30444444441-21-211-2-21-21-211-2-211-2-20000000-200-2-20-2000000000001000111
χ3144444444-21-21-2-211-21-21-2-211-2-211000000202200200000000000-10-1-1-1000
χ3244444444-21-21-2-211-21-21-2-211-2-211000000-20-2-200-20000000000010111000
χ33444444-4-41-21-211-2-21-21-2-1-122-1-1220000000200-2-20200000000000-1000-111
χ34444444-4-41-21-211-2-21-21-2-1-122-1-1220000000-200220-20000000000010001-1-1
χ35444444-4-4-21-21-2-211-21-2122-1-122-1-100000020-2-200200000000000-10-111000
χ36444444-4-4-21-21-2-211-21-2122-1-122-1-1000000-202200-200000000000101-1-1000
χ374444-4-44-41-21-211-2-2-12-1211-2-2-1-12200000002002-20-200000000000-10001-11
χ384444-4-44-41-21-211-2-2-12-1211-2-2-1-1220000000-200-2202000000000001000-11-1
χ394444-4-44-4-21-21-2-2112-12-1-2-21122-1-1000000202-200-200000000000-101-11000
χ404444-4-44-4-21-21-2-2112-12-1-2-21122-1-1000000-20-220020000000000010-11-1000
χ414444-4-4-441-21-211-2-2-12-12-1-12211-2-20000000200-220-200000000000-100011-1
χ424444-4-4-441-21-211-2-2-12-12-1-12211-2-20000000-2002-202000000000001000-1-11
χ434444-4-4-44-21-21-2-2112-12-122-1-1-2-21100000020-2200-200000000000-1011-1000
χ444444-4-4-44-21-21-2-2112-12-122-1-1-2-211000000-202-20020000000000010-1-11000
χ4544-4-4000044-4-44-44-40000000000004i−4i4i−4i0000000000000000000000000000
χ4644-4-4000044-4-44-44-4000000000000−4i4i−4i4i0000000000000000000000000000
χ474-44-4000044-4-4-44-440000000000004i−4i−4i4i0000000000000000000000000000
χ484-44-4000044-4-4-44-44000000000000−4i4i4i−4i0000000000000000000000000000
χ4988-8-800002-4-242-2-44000000006-60000000000000000000000000000000000
χ5088-8-800002-4-242-2-4400000000-660000000000000000000000000000000000
χ5188-8-80000-424-2-442-20000006-6000000000000000000000000000000000000
χ5288-8-80000-424-2-442-2000000-66000000000000000000000000000000000000
χ538-88-800002-4-24-224-400006-600000000000000000000000000000000000000
χ548-88-800002-4-24-224-40000-6600000000000000000000000000000000000000
χ558-88-80000-424-24-4-2200000000006-600000000000000000000000000000000
χ568-88-80000-424-24-4-220000000000-6600000000000000000000000000000000
χ578-8-888-8002-42-4-2-2442-4-240000000000000000000000000000000000000000
χ588-8-888-800-42-4244-2-2-424-20000000000000000000000000000000000000000
χ598-8-88-88002-42-4-2-244-242-40000000000000000000000000000000000000000
χ608-8-88-8800-42-4244-2-24-2-420000000000000000000000000000000000000000

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