Finite Group Databasebeta

← Group #11775615

Character table — Group #11775615

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222444444444444488888888881818181818182424242424242424242424242424242436363636363636363648484848
order12222244334666666666666121212121212121222224444444444121212121212121248888888812121212
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
χ91111-1-11111-1111-1-1-1111-1-1-111-1-111-1-111-1-1-1-111-1-1i−ii−iii−i−iii−i−i1ii−i−iii−i−i11-1-1
χ101111-1-11111-1111-1-1-1111-1-1-111-1-111-1-111-1-1-1-111-1-1−ii−ii−i−iii−i−iii1−i−iii−i−iii11-1-1
χ111111-1-11111-1111-1-1-1111-1-1-111-1-111-1-111-1-1-1-1-1-111i−ii−iii−i−iii−i−i1−i−iii−i−iii-1-111
χ121111-1-11111-1111-1-1-1111-1-1-111-1-111-1-111-1-1-1-1-1-111−ii−ii−i−iii−i−iii1ii−i−iii−i−i-1-111
χ131111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-111-1-111-1-11-1-11i−i−iiii−i−i−i−iii1ii−i−i−i−iii1-1-11
χ141111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-111-1-111-1-11-1-11−iii−i−i−iiiii−i−i1−i−iiiii−i−i1-1-11
χ151111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-111-1-111-1-1-111-1i−i−iiii−i−i−i−iii1−i−iiiii−i−i-111-1
χ161111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-111-1-111-1-1-111-1−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
χ192222-2-22222-2222-2-2-2222-2-2-222-2-222-2-2-2-222220000000000000000-2000000000000
χ202222-2-2-2-2222222-2-2-2222-2-2-2-2-222-2-22222-2-2220000000000000000-2000000000000
χ2122-2-22-20022022-222-2-2-2-2-22-2000000002-22-200000000000000000002−22−22−22−20000
χ2222-2-22-20022022-222-2-2-2-2-22-2000000002-22-20000000000000000000−22−22−22−220000
χ2322-2-22-20022022-222-2-2-2-2-22-200000000-22-2200000000000000000002−22−2−22−220000
χ2422-2-22-20022022-222-2-2-2-2-22-200000000-22-220000000000000000000−22−222−22−20000
χ2522-2-2-220022022-2-2-22-2-2-22-22000000002-2-220000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ2622-2-2-220022022-2-2-22-2-2-22-22000000002-2-220000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ2722-2-2-220022022-2-2-22-2-2-22-2200000000-222-20000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ2822-2-2-220022022-2-2-22-2-2-22-2200000000-222-20000000000000000000i2−i2−i2i2−i2i2i2−i20000
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
χ374444-4-4441-2-41-21-1-1-11-2-2-12211-1-1-2-22200000000002i−2i2i−2i−i−iii−i−iii0000000000000
χ384444-4-4441-2-41-21-1-1-11-2-2-12211-1-1-2-2220000000000−2i2i−2i2iii−i−iii−i−i0000000000000
χ394444-4-444-21-4-21-2222-2112-1-1-2-22211-1-100000022-2-2000000000000000000000-1-111
χ404444-4-444-21-4-21-2222-2112-1-1-2-22211-1-1000000-2-22200000000000000000000011-1-1
χ414444-4-4-4-41-241-21-1-1-11-2-2-122-1-11122-2-200000000002i−2i−2i2i−i−iiiii−i−i0000000000000
χ424444-4-4-4-41-241-21-1-1-11-2-2-122-1-11122-2-20000000000−2i2i2i−2iii−i−i−i−iii0000000000000
χ434444-4-4-4-4-214-21-2222-2112-1-122-2-2-1-1110000002-2-22000000000000000000000-111-1
χ444444-4-4-4-4-214-21-2222-2112-1-122-2-2-1-111000000-222-20000000000000000000001-1-11
χ454-44-40000440-4-44000-44-40000000000000004i−4i00000000000000000000000000000
χ464-44-40000440-4-44000-44-4000000000000000−4i4i00000000000000000000000000000
χ474-4-44004-41-20-12-13-3312-2-3001-13-32-20000000000000000−i3i3−i3i3−i3i3−i3i30000000000000
χ484-4-44004-41-20-12-13-3312-2-3001-13-32-20000000000000000i3−i3i3−i3i3−i3i3−i30000000000000
χ494-4-44004-41-20-12-1-33-312-23001-1-332-200000000000000003−3−333−3−330000000000000
χ504-4-44004-41-20-12-1-33-312-23001-1-332-20000000000000000−333−3−333−30000000000000
χ514-4-44004-4440-4-4-40004-440004-400-440000000000000000000000000000000000000
χ524-4-4400-441-20-12-13-3312-2-300-11-33-220000000000000000−i3i3−i3i3i3−i3i3−i30000000000000
χ534-4-4400-441-20-12-13-3312-2-300-11-33-220000000000000000i3−i3i3−i3−i3i3−i3i30000000000000
χ544-4-4400-441-20-12-1-33-312-2300-113-3-2200000000000000003−3−33−333−30000000000000
χ554-4-4400-441-20-12-1-33-312-2300-113-3-220000000000000000−333−33−3−330000000000000
χ564-4-4400-44440-4-4-40004-44000-44004-40000000000000000000000000000000000000
χ5788-8-88-8002-402-4-222-2-244-2-440000000000000000000000000000000000000000000
χ5888-8-88-800-420-424-4-444-2-242-20000000000000000000000000000000000000000000
χ5988-8-8-88002-402-4-2-2-22-24424-40000000000000000000000000000000000000000000
χ6088-8-8-8800-420-42444-44-2-2-4-220000000000000000000000000000000000000000000
χ618-88-800002-40-2426-6-6-2-446000000000000000000000000000000000000000000000
χ628-88-800002-40-242-666-2-44-6000000000000000000000000000000000000000000000
χ638-88-80000-4204-2-400042-20000000006i−6i00000000000000000000000000000000000
χ648-88-80000-4204-2-400042-2000000000−6i6i00000000000000000000000000000000000
χ658-8-88008-8-4204-24000-4-22000-4400-220000000000000000000000000000000000000
χ668-8-8800-88-4204-24000-4-220004-4002-20000000000000000000000000000000000000

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