Finite Group Databasebeta

← Group #11784640

Character table — Group #11784640

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112244444444444444444444448888888888888888888888881818181818181818363636367272727272727272
order12222222223344666666666666666666666666666666121212121212121222224444222288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ511111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i
χ611111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii
χ711111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ811111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ9111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111i−ii−ii−ii−i
χ10111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−ii−ii−ii−ii
χ11111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-11-1-11-11
χ12111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-111-11-1
χ13111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-111-1-11
χ14111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-111-1-111-1
χ15111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−ii−iii−i
χ16111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−ii−i−ii
χ172222-2-20000222-22222-2-2-2-2-2-2-2-22200000000000000002222-2-2-2-222-2-222-2-2000000000000
χ182222-2-20000222-22222-2-2-2-2-2-2-2-22200000000000000002222-2-2-2-2-2-222-2-222000000000000
χ192222-2-2000022-222222-2-2-2-2-2-2-2-2220000000000000000-2-2-2-2222222-2-2-2-222000000000000
χ202222-2-2000022-222222-2-2-2-2-2-2-2-2220000000000000000-2-2-2-22222-2-22222-2-2000000000000
χ212-2-222-2002-22200-2-2-2-22222-2-2-2-222000000002222-2-2-2-20000000000002-22-22-20000000000
χ222-2-222-2002-22200-2-2-2-22222-2-2-2-222000000002222-2-2-2-2000000000000-22-22-220000000000
χ232-2-222-200-222200-2-2-2-22222-2-2-2-22200000000-2-2-2-222220000000000002-22-2-220000000000
χ242-2-222-200-222200-2-2-2-22222-2-2-2-22200000000-2-2-2-22222000000000000-22-222-20000000000
χ252-2-22-222-2002200-2-2-2-2-2-2-2-22222222222-2-2-2-2000000000000000000002-2-22002-200000000
χ262-2-22-222-2002200-2-2-2-2-2-2-2-22222222222-2-2-2-200000000000000000000-222-200-2200000000
χ272-2-22-22-22002200-2-2-2-2-2-2-2-2222222-2-2-2-22222000000000000000000002-2-2200-2200000000
χ282-2-22-22-22002200-2-2-2-2-2-2-2-2222222-2-2-2-2222200000000000000000000-222-2002-200000000
χ2944444444441-24411-2-211-2-211-2-21-211-2-211-2-211-2-211-2-211-2-211-2-200000000000000000000
χ304444444444-2144-2-211-2-211-2-211-21-2-211-2-211-2-211-2-211-2-211-2-21100000000000000000000
χ3144444444-4-41-2-4-411-2-211-2-211-2-21-211-2-211-2-2-1-122-1-122-1-122-1-12200000000000000000000
χ3244444444-4-4-21-4-4-2-211-2-211-2-211-21-2-211-2-21122-1-122-1-122-1-122-1-100000000000000000000
χ33444444-4-4441-2-4-411-2-211-2-211-2-21-2-1-122-1-12211-2-211-2-2-1-122-1-12200000000000000000000
χ34444444-4-444-21-4-4-2-211-2-211-2-211-2122-1-122-1-1-2-211-2-21122-1-122-1-100000000000000000000
χ35444444-4-4-4-41-24411-2-211-2-211-2-21-2-1-122-1-122-1-122-1-12211-2-211-2-200000000000000000000
χ36444444-4-4-4-4-2144-2-211-2-211-2-211-2122-1-122-1-122-1-122-1-1-2-211-2-21100000000000000000000
χ374444-4-400001-24-411-2-2-1-122-1-1221-23-3003-3003-3003-30011-2-2-1-12200000000000000000000
χ384444-4-400001-24-411-2-2-1-122-1-1221-2-3300-3300-3300-330011-2-2-1-12200000000000000000000
χ394444-4-400001-2-4411-2-2-1-122-1-1221-23-3003-300-3300-3300-1-12211-2-200000000000000000000
χ404444-4-400001-2-4411-2-2-1-122-1-1221-2-3300-33003-3003-300-1-12211-2-200000000000000000000
χ414444-4-40000-214-4-2-21122-1-122-1-1-21003-3003-3003-3003-3-2-21122-1-100000000000000000000
χ424444-4-40000-214-4-2-21122-1-122-1-1-2100-3300-3300-3300-33-2-21122-1-100000000000000000000
χ434444-4-40000-21-44-2-21122-1-122-1-1-21003-3003-300-3300-3322-1-1-2-21100000000000000000000
χ444444-4-40000-21-44-2-21122-1-122-1-1-2100-3300-33003-3003-322-1-1-2-21100000000000000000000
χ4544-4-400000044004-44-400000000-4-4000000000000000000000000004-40000000000000000
χ4644-4-400000044004-44-400000000-4-400000000000000000000000000-440000000000000000
χ474-44-40000004400-44-4400000000-4-40000000000000000000000004-4000000000000000000
χ484-44-40000004400-44-4400000000-4-4000000000000000000000000-44000000000000000000
χ494-4-444-4004-41-200-1-12211-2-2-1-1221-23-300-330011-2-2-1-1223-3003-30000000000000000000000
χ504-4-444-4004-41-200-1-12211-2-2-1-1221-2-33003-30011-2-2-1-122-3300-330000000000000000000000
χ514-4-444-4004-4-210022-1-1-2-21122-1-1-21003-300-33-2-21122-1-1003-3003-300000000000000000000
χ524-4-444-4004-4-210022-1-1-2-21122-1-1-2100-33003-3-2-21122-1-100-3300-3300000000000000000000
χ534-4-444-400-441-200-1-12211-2-2-1-1221-23-300-3300-1-12211-2-2-3300-330000000000000000000000
χ544-4-444-400-441-200-1-12211-2-2-1-1221-2-33003-300-1-12211-2-23-3003-30000000000000000000000
χ554-4-444-400-44-210022-1-1-2-21122-1-1-21003-300-3322-1-1-2-21100-3300-3300000000000000000000
χ564-4-444-400-44-210022-1-1-2-21122-1-1-2100-33003-322-1-1-2-211003-3003-300000000000000000000
χ574-4-44-444-4001-200-1-122-1-12211-2-21-211-2-2-1-1223-300-33003-300-330000000000000000000000
χ584-4-44-444-4001-200-1-122-1-12211-2-21-211-2-2-1-122-33003-300-33003-30000000000000000000000
χ594-4-44-444-400-210022-1-122-1-1-2-211-21-2-21122-1-1003-300-33003-300-3300000000000000000000
χ604-4-44-444-400-210022-1-122-1-1-2-211-21-2-21122-1-100-33003-300-33003-300000000000000000000
χ614-4-44-44-44001-200-1-122-1-12211-2-21-2-1-12211-2-23-300-3300-33003-30000000000000000000000
χ624-4-44-44-44001-200-1-122-1-12211-2-21-2-1-12211-2-2-33003-3003-300-330000000000000000000000
χ634-4-44-44-4400-210022-1-122-1-1-2-211-2122-1-1-2-211003-300-3300-33003-300000000000000000000
χ644-4-44-44-4400-210022-1-122-1-1-2-211-2122-1-1-2-21100-33003-3003-300-3300000000000000000000
χ6588-8-80000002-4002-2-446-6006-600-2400000000000000000000000000000000000000000000
χ6688-8-80000002-4002-2-44-6600-6600-2400000000000000000000000000000000000000000000
χ6788-8-8000000-4200-442-2006-6006-64-200000000000000000000000000000000000000000000
χ6888-8-8000000-4200-442-200-6600-664-200000000000000000000000000000000000000000000
χ698-88-80000002-400-224-46-600-6600-2400000000000000000000000000000000000000000000
χ708-88-80000002-400-224-4-66006-600-2400000000000000000000000000000000000000000000
χ718-88-8000000-42004-4-22006-600-664-200000000000000000000000000000000000000000000
χ728-88-8000000-42004-4-2200-66006-64-200000000000000000000000000000000000000000000

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