Finite Group Databasebeta

← Group #13149889

Character table — Group #13149889

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11222224444466666688121212121212121212121212121818181818181818181824242424242424243636363636363636363636363636367272727272727272
order122344668812123366121224243666121212121224242424224488242424246122424242424242222444466812122424666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-1-1-1111-1-1-11
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1111-1-1-1-1-1-1-11-1-1-1111-1
χ511111111-1-111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-11-11-1-111-111-1-1111-11-1-1-1
χ611111111-1-111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11-11111-111-1-1-1-1-11-1111
χ711111111-1-111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11-1-111-111-1-111-1
χ811111111-1-111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-11
χ911-11-111-11-1-111111111-11-1-11-1-111111-1-11-11-1111111-1-1111-1-1-11-11-1-111-11-1-11-1-1-1-11-1111-1-1
χ1011-11-111-11-1-111111111-11-1-11-1-111111-1-11-11-1111111-1-1111-1-1-1-11-111-1-111-1-11-1-1-11-11-1-1-111
χ1111-11-111-11-1-111111111-11-1-11-1-111111-1-1-11-11-1-1-1-1-1-1-1-1111-1-1-11-111-1-1-11-111-111111-11-1-11-1
χ1211-11-111-11-1-111111111-11-1-11-1-111111-1-1-11-11-1-1-1-1-1-1-1-1111-1-1-1-11-1-1111-1-111-1111-1-11-111-11
χ1311-11-111-1-11-11111111-111-1-11-1-1111-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-111-111-11-1-11-111
χ1411-11-111-1-11-11111111-111-1-11-1-1111-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-11-11-111-1111-111-11-1-1
χ1511-11-111-1-11-11111111-111-1-11-1-1111-1-111-11-11111111-1-1-1-1-11111-1-111-11-1-11-1-11-1-111-1-1-11-11
χ1611-11-111-1-11-11111111-111-1-11-1-1111-1-111-11-11111111-1-1-1-1-1111-111-1-11-11-11-1-11-1-1-1-1111-11-1
χ172222222222222-12-12222-12-1-12-1-1-1-122220000000000-1-1-1-1-1-1-1-12220200000000000-1-1-1000-1
χ182222222222222-12-12222-12-1-12-1-1-1-122220000000000-1-1-1-1-1-1-1-1-2-2-20-2000000000001110001
χ19222222222222-12-12-1-122-1-12-1-122-1-1-1-1-1-1222222-1-1-1-1-1-12-1-12-1-100000000-1-12-1-1-1-100000000
χ20222222222222-12-12-1-122-1-12-1-122-1-1-1-1-1-1-2-2-2-2-2-21111-1-12-1-12-1-10000000011-2111100000000
χ2122222222-2-2222-12-122-2-2-12-1-12-1-1-1-1-2-2-2-20000000000-1-111111122-20-200000000000-1-110001
χ2222222222-2-2222-12-122-2-2-12-1-12-1-1-1-1-2-2-2-20000000000-1-1111111-2-22020000000000011-1000-1
χ2322222222-2-222-12-12-1-1-2-2-1-12-1-122-1-111112222-2-21111-1-1-211-21100000000-1-1-2-1-11100000000
χ2422222222-2-222-12-12-1-1-2-2-1-12-1-122-1-11111-2-2-2-222-1-1-1-1-1-1-211-2110000000011211-1-100000000
χ252222-2-22200-2-22222-2-2002222-2-2-2-2-200002-2-220000002-2000000000000002-20-220000000000
χ262222-2-22200-2-22222-2-2002222-2-2-2-2-20000-222-20000002-200000000000000-2202-20000000000
χ272222-2-22200-2-2-12-121100-1-12-11-2-2113−33−32-2-220033−3−3-1103−303−300000000-1101-13−300000000
χ282222-2-22200-2-2-12-121100-1-12-11-2-2113−33−3-222-200−3−333-1103−303−3000000001-10-11−3300000000
χ292222-2-22200-2-2-12-121100-1-12-11-2-211−33−332-2-2200−3−333-110−330−3300000000-1101-1−3300000000
χ302222-2-22200-2-2-12-121100-1-12-11-2-211−33−33-222-20033−3−3-110−330−33000000001-10-113−300000000
χ3122-222-22-2002-22222-2-2002-2-2222-2-2-2000022-2-2000000-2200000000000000220-2-20000000000
χ3222-222-22-2002-22222-2-2002-2-2222-2-2-20000-2-222000000-2200000000000000-2-20220000000000
χ3322-222-22-2002-2-12-121100-11-2-1-12-2113−3−3322-2-20033−3−31-103−30−3300000000-1-1011−3300000000
χ3422-222-22-2002-2-12-121100-11-2-1-12-2113−3−33-2-22200−3−3331-103−30−3300000000110-1-13−300000000
χ3522-222-22-2002-2-12-121100-11-2-1-12-211−333−322-2-200−3−3331-10−3303−300000000-1-10113−300000000
χ3622-222-22-2002-2-12-121100-11-2-1-12-211−333−3-2-2220033−3−31-10−3303−300000000110-1-1−3300000000
χ3722-22-222-22-2-222-12-1222-2-1-21-1-21-1-1-122-2-2000000000011-1-1-11112-220-200000000000-11-10001
χ3822-22-222-22-2-222-12-1222-2-1-21-1-21-1-1-122-2-2000000000011-1-1-1111-22-202000000000001-11000-1
χ3922-22-222-22-2-22-12-12-1-12-2-11-2-11-22-1-1-1-1112-22-222-1-1-1-1112-1-1-21100000000-11-2-111100000000
χ4022-22-222-22-2-22-12-12-1-12-2-11-2-11-22-1-1-1-111-22-22-2-21111112-1-1-211000000001-121-1-1-100000000
χ4122-22-222-2-22-222-12-122-22-1-21-1-21-1-1-1-2-222000000000011111-1-1-12-2-20200000000000-111000-1
χ4222-22-222-2-22-222-12-122-22-1-21-1-21-1-1-1-2-222000000000011111-1-1-1-2220-2000000000001-1-10001
χ4322-22-222-2-22-22-12-12-1-1-22-11-2-11-22-1-111-1-12-22-2-2-2111111-2112-1-100000000-112-11-1-100000000
χ4422-22-222-2-22-22-12-12-1-1-22-11-2-11-22-1-111-1-1-22-2222-1-1-1-111-2112-1-1000000001-1-21-11100000000
χ45444444444444-2-2-2-2-2-2441-2-21-2-2-211-2-2-2-2000000000011-211-21100000000000000000000000
χ4644444444-4-444-2-2-2-2-2-2-4-41-2-21-2-2-21122220000000000112-1-12-1-100000000000000000000000
χ474444-4-44400-4-44-24-2-4-400-24-2-2-4222200000000000000-2200000000000000000000000000000
χ484444-4-44400-4-4-2-2-2-222001-2-21222-1-123−2323−2300000000001-10−330−3300000000000000000000000
χ494444-4-44400-4-4-2-2-2-222001-2-21222-1-1−2323−232300000000001-103−303−300000000000000000000000
χ5044-444-44-4004-44-24-2-4-400-2-42-24-2222000000000000002-200000000000000000000000000000
χ5144-444-44-4004-4-2-2-2-222001221-2-22-1-123−23−23230000000000-110−3303−300000000000000000000000
χ5244-444-44-4004-4-2-2-2-222001221-2-22-1-1−232323−230000000000-1103−30−3300000000000000000000000
χ5344-44-444-44-4-44-2-2-2-2-2-24-4122122-211-2-2220000000000-1-1-2112-1-100000000000000000000000
χ5444-44-444-4-44-44-2-2-2-2-2-2-44122122-21122-2-20000000000-1-12-1-1-21100000000000000000000000
χ554-40400-40000044-4-40000400-40000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000
χ564-40400-40000044-4-40000400-400000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000
χ574-40400-400000-242-423−2300-200200023−2300000000−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000000000000000000000000000
χ584-40400-400000-242-423−2300-200200023−23000000002i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000000000000000000000000
χ594-40400-400000-242-4−232300-2002000−232300000000−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000000000000000000000000000
χ604-40400-400000-242-4−232300-2002000−2323000000002i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000000000000000000000000
χ61666-366-3-366-3-3000000-3-30000000000000000000000000000000000202220000000-1000-1-1-10
χ62666-366-3-366-3-3000000-3-30000000000000000000000000000000000-20-2-2-2000000010001110
χ63666-366-3-3-6-6-3-3000000330000000000000000000000000000000000202-2-20000000-1000-1110
χ64666-366-3-3-6-6-3-3000000330000000000000000000000000000000000-20-222000000010001-1-10
χ6566-6-3-66-336-63-3000000-33000000000000000000000000000000000020-2-220000000-100011-10
χ6666-6-3-66-336-63-3000000-330000000000000000000000000000000000-2022-200000001000-1-110
χ6766-6-3-66-33-663-30000003-3000000000000000000000000000000000020-22-20000000-10001-110
χ6866-6-3-66-33-663-30000003-30000000000000000000000000000000000-202-2200000001000-11-10
χ698-80800-8000008-4-840000-400400000000000000000000000000000000000000000000000000
χ708-80800-800000-4-44443−4300200-2000−2323000000000000000000000000000000000000000000000
χ718-80800-800000-4-444−434300200-200023−23000000000000000000000000000000000000000000000
χ72121212-6-12-12-6-6006600000000000000000000000000000000000000000000000000000000000000
χ731212-12-612-12-6600-6600000000000000000000000000000000000000000000000000000000000000
χ7424-240-1200120000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.