Finite Group Databasebeta

← Group #11775586

Character table — Group #11775586

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222444444444444488888888881818181818182424242424242424242424242424242436363636363636363648484848
order122222443346666666666661212121212121212222244224444441212121212121212488888888661212
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
χ91111-1-11111-111-1-1-11111-1-1-11111-1-1-1-111-1-1-1-111-1-1i−ii−iii−i−iii−i−i1ii−i−iii−i−i11-1-1
χ101111-1-11111-111-1-1-11111-1-1-11111-1-1-1-111-1-1-1-111-1-1−ii−ii−i−iii−i−iii1−i−iii−i−iii11-1-1
χ111111-1-11111-111-1-1-11111-1-1-11111-1-1-1-111-1-1-1-1-1-111i−ii−iii−i−iii−i−i1−i−iii−i−iii-1-111
χ121111-1-11111-111-1-1-11111-1-1-11111-1-1-1-111-1-1-1-1-1-111−ii−ii−i−iii−i−iii1ii−i−iii−i−i-1-111
χ131111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-11111-1-111-1-11-1-11i−i−iiii−i−i−i−iii1ii−i−i−i−iii1-1-11
χ141111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-11111-1-111-1-11-1-11−iii−i−i−iiiii−i−i1−i−iiiii−i−i1-1-11
χ151111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-11111-1-111-1-1-111-1i−i−iiii−i−i−i−iii1−i−iiiii−i−i-111-1
χ161111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-11111-1-111-1-1-111-1−iii−i−i−iiiii−i−i1ii−i−i−i−iii-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
χ192222-2-22222-222-2-2-22222-2-2-22222-2-2-2-2-2-222220000000000000000-2000000000000
χ202222-2-2-2-222222-2-2-22222-2-2-2-2-2-2-2222222-2-2220000000000000000-2000000000000
χ212-22-22-2002202-222-2-2-2-22-22-2000000002-22-20000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ222-22-22-2002202-222-2-2-2-22-22-2000000002-22-20000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ232-22-22-2002202-222-2-2-2-22-22-200000000-22-220000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ242-22-22-2002202-222-2-2-2-22-22-200000000-22-220000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ252-22-2-22002202-2-2-22-2-2-222-22000000002-2-2200000000000000000002−2−222−2−220000
χ262-22-2-22002202-2-2-22-2-2-222-22000000002-2-220000000000000000000−222−2−222−20000
χ272-22-2-22002202-2-2-22-2-2-222-2200000000-222-200000000000000000002−2−22−222−20000
χ282-22-2-22002202-2-2-22-2-2-222-2200000000-222-20000000000000000000−222−22−2−220000
χ29444444441-2411111-21-2-21-2-211-2-211-2-200000000002222-1-1-1-1-1-1-1-10000000000000
χ30444444441-2411111-21-2-21-2-211-2-211-2-20000000000-2-2-2-2111111110000000000000
χ3144444444-214-2-2-2-2-21-211-211-2-211-2-2110000002222000000000000000000000-1-1-1-1
χ3244444444-214-2-2-2-2-21-211-211-2-211-2-211000000-2-2-2-20000000000000000000001111
χ33444444-4-41-2-411111-21-2-21-2-2-1-122-1-122000000000022-2-2-1-1-1-111110000000000000
χ34444444-4-41-2-411111-21-2-21-2-2-1-122-1-1220000000000-2-2221111-1-1-1-10000000000000
χ35444444-4-4-21-4-2-2-2-2-21-211-21122-1-122-1-10000002-22-2000000000000000000000-11-11
χ36444444-4-4-21-4-2-2-2-2-21-211-21122-1-122-1-1000000-22-220000000000000000000001-11-1
χ374444-4-4441-2-411-1-1-1-21-2-2-12211-2-2-1-12200000000002i−2i2i−2i−i−iii−i−iii0000000000000
χ384444-4-4441-2-411-1-1-1-21-2-2-12211-2-2-1-1220000000000−2i2i−2i2iii−i−iii−i−i0000000000000
χ394444-4-444-21-4-2-22221-2112-1-1-2-21122-1-100000022-2-2000000000000000000000-1-111
χ404444-4-444-21-4-2-22221-2112-1-1-2-21122-1-1000000-2-22200000000000000000000011-1-1
χ414444-4-4-4-41-2411-1-1-1-21-2-2-122-1-12211-2-200000000002i−2i−2i2i−i−iiiii−i−i0000000000000
χ424444-4-4-4-41-2411-1-1-1-21-2-2-122-1-12211-2-20000000000−2i2i2i−2iii−i−i−i−iii0000000000000
χ434444-4-4-4-4-214-2-22221-2112-1-122-1-1-2-2110000002-2-22000000000000000000000-111-1
χ444444-4-4-4-4-214-2-22221-2112-1-122-1-1-2-211000000-222-20000000000000000000001-1-11
χ4544-4-40000440-440004-4-4-40000000000000004i−4i00000000000000000000000000000
χ4644-4-40000440-440004-4-4-4000000000000000−4i4i00000000000000000000000000000
χ474-4-44004-41-20-1-13-3321-22-3001-12-23-30000000000000000−i3i3−i3i3−i3i3−i3i30000000000000
χ484-4-44004-41-20-1-13-3321-22-3001-12-23-30000000000000000i3−i3i3−i3i3−i3i3−i30000000000000
χ494-4-44004-41-20-1-1-33-321-223001-12-2-3300000000000000003−3−333−3−330000000000000
χ504-4-44004-41-20-1-1-33-321-223001-12-2-330000000000000000−333−3−333−30000000000000
χ514-4-44004-4440-4-4000-444-40004-4-44000000000000000000000000000000000000000
χ524-4-4400-441-20-1-13-3321-22-300-11-22-330000000000000000−i3i3−i3i3i3−i3i3−i30000000000000
χ534-4-4400-441-20-1-13-3321-22-300-11-22-330000000000000000i3−i3i3−i3−i3i3−i3i30000000000000
χ544-4-4400-441-20-1-1-33-321-22300-11-223-300000000000000003−3−33−333−30000000000000
χ554-4-4400-441-20-1-1-33-321-22300-11-223-30000000000000000−333−33−3−330000000000000
χ564-4-4400-44440-4-4000-444-4000-444-4000000000000000000000000000000000000000
χ5788-8-800002-40-226-6-6-4-2446000000000000000000000000000000000000000000000
χ5888-8-800002-40-22-666-4-244-6000000000000000000000000000000000000000000000
χ5988-8-80000-4204-400024-2-20000000006i−6i00000000000000000000000000000000000
χ6088-8-80000-4204-400024-2-2000000000−6i6i00000000000000000000000000000000000
χ618-88-88-8002-402-222-24-24-4-2-440000000000000000000000000000000000000000000
χ628-88-88-800-420-44-4-44-24-2242-20000000000000000000000000000000000000000000
χ638-88-8-88002-402-2-2-224-24-424-40000000000000000000000000000000000000000000
χ648-88-8-8800-420-4444-4-24-22-4-220000000000000000000000000000000000000000000
χ658-8-88008-8-42044000-2-42-2000-44-22000000000000000000000000000000000000000
χ668-8-8800-88-42044000-2-42-20004-42-2000000000000000000000000000000000000000

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