Finite Group Databasebeta

← Group #11784621

Character table — Group #11784621

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112244444444444444444444448888888888888888888888881818181818181818363636367272727272727272
order122222334444446666666666666612121212121212121212121212121212121212121212121222224444222244444444
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
χ51111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ61111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ71111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ81111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ911111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-11-11-11-1
χ1011111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11-11-11-11
χ1111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111i−ii−i−ii−ii
χ1211111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−ii−iii−ii−i
χ1311111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111-1-111-1-11
χ1411111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-111-1-111-1
χ1511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1i−i−ii−iii−i
χ1611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1−iii−ii−i−ii
χ172222-2-2222-200002222-2-2-2-2-2-2-2-2222222-2-2-2-2000000000000000022-2-222-2-2000000000000
χ182222-2-2222-200002222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000-2-222-2-222000000000000
χ192222-2-222-2200002222-2-2-2-2-2-2-2-222-2-2-2-22222000000000000000022-2-2-2-222000000000000
χ202222-2-222-2200002222-2-2-2-2-2-2-2-222-2-2-2-222220000000000000000-2-22222-2-2000000000000
χ212-2-222-22200002-2-2-2-2-22222-2-2-2-22200000000000000002222-2-2-2-22-22-20000002-200000000
χ222-2-222-22200002-2-2-2-2-22222-2-2-2-22200000000000000002222-2-2-2-2-22-22000000-2200000000
χ232-2-222-2220000-22-2-2-2-22222-2-2-2-2220000000000000000-2-2-2-222222-22-2000000-2200000000
χ242-2-222-2220000-22-2-2-2-22222-2-2-2-2220000000000000000-2-2-2-22222-22-220000002-200000000
χ252-2-22-2222002-200-2-2-2-2-2-2-2-2222222000000002222-2-2-2-2000000002-2-2200002-20000000000
χ262-2-22-2222002-200-2-2-2-2-2-2-2-2222222000000002222-2-2-2-200000000-222-20000-220000000000
χ272-2-22-222200-2200-2-2-2-2-2-2-2-222222200000000-2-2-2-22222000000002-2-220000-220000000000
χ282-2-22-222200-2200-2-2-2-2-2-2-2-222222200000000-2-2-2-2222200000000-222-200002-20000000000
χ294444441-244444411-2-211-2-211-2-21-211-2-211-2-211-2-211-2-211-2-211-2-200000000000000000000
χ304444441-244-4-4-4-411-2-211-2-211-2-21-211-2-211-2-2-1-122-1-122-1-122-1-12200000000000000000000
χ314444441-2-4-444-4-411-2-211-2-211-2-21-2-1-122-1-12211-2-211-2-2-1-122-1-12200000000000000000000
χ324444441-2-4-4-4-44411-2-211-2-211-2-21-2-1-122-1-122-1-122-1-12211-2-211-2-200000000000000000000
χ33444444-21444444-2-211-2-211-2-211-21-2-211-2-211-2-211-2-211-2-211-2-21100000000000000000000
χ34444444-2144-4-4-4-4-2-211-2-211-2-211-21-2-211-2-21122-1-122-1-122-1-122-1-100000000000000000000
χ35444444-21-4-444-4-4-2-211-2-211-2-211-2122-1-122-1-1-2-211-2-21122-1-122-1-100000000000000000000
χ36444444-21-4-4-4-444-2-211-2-211-2-211-2122-1-122-1-122-1-122-1-1-2-211-2-21100000000000000000000
χ374444-4-41-24-4000011-2-2-1-122-1-1221-211-2-2-1-1223-3003-3003-3003-30000000000000000000000
χ384444-4-41-24-4000011-2-2-1-122-1-1221-211-2-2-1-122-3300-3300-3300-330000000000000000000000
χ394444-4-41-2-44000011-2-2-1-122-1-1221-2-1-12211-2-23-3003-300-3300-330000000000000000000000
χ404444-4-41-2-44000011-2-2-1-122-1-1221-2-1-12211-2-2-3300-33003-3003-30000000000000000000000
χ414444-4-4-214-40000-2-21122-1-122-1-1-21-2-21122-1-1003-3003-3003-3003-300000000000000000000
χ424444-4-4-214-40000-2-21122-1-122-1-1-21-2-21122-1-100-3300-3300-3300-3300000000000000000000
χ434444-4-4-21-440000-2-21122-1-122-1-1-2122-1-1-2-211003-3003-300-3300-3300000000000000000000
χ444444-4-4-21-440000-2-21122-1-122-1-1-2122-1-1-2-21100-3300-33003-3003-300000000000000000000
χ4544-4-400440000004-44-400000000-4-40000000000000000000000000000004i−4i000000000000
χ4644-4-400440000004-44-400000000-4-4000000000000000000000000000000−4i4i000000000000
χ474-44-40044000000-44-4400000000-4-400000000000000000000000000004i−4i00000000000000
χ484-44-40044000000-44-4400000000-4-40000000000000000000000000000−4i4i00000000000000
χ494-4-444-41-200004-4-1-12211-2-2-1-1221-23-3003-3003-300-330011-2-2-1-12200000000000000000000
χ504-4-444-41-200004-4-1-12211-2-2-1-1221-2-3300-3300-33003-30011-2-2-1-12200000000000000000000
χ514-4-444-41-20000-44-1-12211-2-2-1-1221-23-3003-300-33003-300-1-12211-2-200000000000000000000
χ524-4-444-41-20000-44-1-12211-2-2-1-1221-2-3300-33003-300-3300-1-12211-2-200000000000000000000
χ534-4-444-4-2100004-422-1-1-2-21122-1-1-21003-3003-3003-300-33-2-21122-1-100000000000000000000
χ544-4-444-4-2100004-422-1-1-2-21122-1-1-2100-3300-3300-33003-3-2-21122-1-100000000000000000000
χ554-4-444-4-210000-4422-1-1-2-21122-1-1-21003-3003-300-33003-322-1-1-2-21100000000000000000000
χ564-4-444-4-210000-4422-1-1-2-21122-1-1-2100-3300-33003-300-3322-1-1-2-21100000000000000000000
χ574-4-44-441-2004-400-1-122-1-12211-2-21-23-300-330011-2-2-1-1223-300-330000000000000000000000
χ584-4-44-441-2004-400-1-122-1-12211-2-21-2-33003-30011-2-2-1-122-33003-30000000000000000000000
χ594-4-44-441-200-4400-1-122-1-12211-2-21-23-300-3300-1-12211-2-2-33003-30000000000000000000000
χ604-4-44-441-200-4400-1-122-1-12211-2-21-2-33003-300-1-12211-2-23-300-330000000000000000000000
χ614-4-44-44-21004-40022-1-122-1-1-2-211-21003-300-33-2-21122-1-1003-300-3300000000000000000000
χ624-4-44-44-21004-40022-1-122-1-1-2-211-2100-33003-3-2-21122-1-100-33003-300000000000000000000
χ634-4-44-44-2100-440022-1-122-1-1-2-211-21003-300-3322-1-1-2-21100-33003-300000000000000000000
χ644-4-44-44-2100-440022-1-122-1-1-2-211-2100-33003-322-1-1-2-211003-300-3300000000000000000000
χ6588-8-8002-40000002-2-446-6006-600-2400000000000000000000000000000000000000000000
χ6688-8-8002-40000002-2-44-6600-6600-2400000000000000000000000000000000000000000000
χ6788-8-800-42000000-442-2006-6006-64-200000000000000000000000000000000000000000000
χ6888-8-800-42000000-442-200-6600-664-200000000000000000000000000000000000000000000
χ698-88-8002-4000000-224-46-600-6600-2400000000000000000000000000000000000000000000
χ708-88-8002-4000000-224-4-66006-600-2400000000000000000000000000000000000000000000
χ718-88-800-420000004-4-22006-600-664-200000000000000000000000000000000000000000000
χ728-88-800-420000004-4-2200-66006-64-200000000000000000000000000000000000000000000

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