Finite Group Databasebeta

← Group #13148662

Character table — Group #13148662

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size1111222222444466666666881212121212121212121212121818181818181818181818181818242424242424242436363636363636363636363636363636363636363672727272
order12222236664466336666661212366666661212121222444444446666661212121212122244444661212121212121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-11111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111-1-11111111111-1-111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-11-1-11-11-1111111-1-1-1-11111-1-1-1-1
χ61111111111-1-11111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-11111111111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-111111111-1-1-1-1-1-111
χ81111111111-1-11111111111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-11111111111-1-1
χ91111-1-111111-1-1-1111111111-11-1-1-1-111111-1-1111111-1-1111111-1-11-111-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-11-11
χ101111-1-111111-1-1-1111111111-11-1-1-1-111111-1-11111-1-1-1-1-1-11111-1-11-111-1-1-1111-11-1-1-1-1-11111-1-1-1-1111-11-1
χ111111-1-111111-1-1-1111111111-11-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11-11-111-11111-1-1-1-111-1-111-111-1
χ121111-1-111111-1-1-1111111111-11-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-111-11-1-1111-1-111-1-11111-1-11-1-11
χ131111-1-11111-11-1-111111111-111-1-1-1-1111-1-11111-1-11111111111-1-1-11-1-111-111-1-1-1-1-1-111-1-1-1-11111-1-11-11-1
χ141111-1-11111-11-1-111111111-111-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-11-1-111-1-1-11111-1-1-1-111-1-111-1-111-11-11
χ151111-1-11111-11-1-111111111-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1111111-1-111-1-1-1-1111-1-11
χ161111-1-11111-11-1-111111111-111-1-1-1-1111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-11-1-1111-1111-1-111-1-11111-1-111-1-1-111-1
χ17222222222222222-12-12-1-1222-122-1-1-1-1-1-1-1-1-12222002200-1-1-1-1-1-122-1-1-1-12000000-1-10000-1-1-1-100000000
χ18222222222222222-12-12-1-1222-122-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2001111-1-122-1-1-1-1-2000000110000111100000000
χ1922222222222222-12-12-122-122-1-1-122-1-1-1222200000000220000-1-1-1-1-1-1-1-100200220000000000-1-1-1-100-1-1
χ2022222222222222-12-12-122-122-1-1-122-1-1-1222200000000-2-20000-1-1-1-1-1-1-1-100-200-2-2000000000011110011
χ212222222222-2-2222-12-12-1-12-2-2-122-1-1-1-1-1111122-2-200-2-200-1-1-1-1-1-1-2-211112000000-1-10000111100000000
χ222222222222-2-2222-12-12-1-12-2-2-122-1-1-1-1-11111-2-2220022001111-1-1-2-21111-2000000110000-1-1-1-100000000
χ232222222222-2-222-12-12-122-1-2-2-1-1-122-1-1-1-2-2-2-200000000220000-1-111111100-2002-20000000000-1-1-1-10011
χ242222222222-2-222-12-12-122-1-2-2-1-1-122-1-1-1-2-2-2-200000000-2-20000-1-111111100200-220000000000111100-1-1
χ252222-2-222222-2-2-22-12-12-1-122-2-1-2-211-1-1-1-1-111222200-2-200-1-1-1-1112-2-1-111-2000000110000-1-11100000000
χ262222-2-222222-2-2-22-12-12-1-122-2-1-2-211-1-1-1-1-111-2-2-2-20022001111112-2-1-1112000000-1-1000011-1-100000000
χ272222-2-222222-2-2-2-12-12-122-12-2-111-2-2-1-1-122-2-20000000022000011-11-1-11100-200-220000000000-1-111001-1
χ282222-2-222222-2-2-2-12-12-122-12-2-111-2-2-1-1-122-2-200000000-2-2000011-11-1-111002002-2000000000011-1-100-11
χ292222-2-22222-22-2-22-12-12-1-12-22-1-2-211-1-1-111-1-122-2-2002200-1-1-1-111-2211-1-1-200000011000011-1-100000000
χ302222-2-22222-22-2-22-12-12-1-12-22-1-2-211-1-1-111-1-1-2-22200-2-200111111-2211-1-12000000-1-10000-1-11100000000
χ312222-2-22222-22-2-2-12-12-122-1-22-111-2-2-1-1-1-2-22200000000220000111-111-1-100200-2-20000000000-1-11100-11
χ322222-2-22222-22-2-2-12-12-122-1-22-111-2-2-1-1-1-2-22200000000-2-20000111-111-1-100-20022000000000011-1-1001-1
χ3322-2-20022-2-2000022-2-222-2-20020000-22-200002-2002i−2i002i−2i22-2-2000000000000000002i−2i0000002i−2i000000
χ3422-2-20022-2-2000022-2-222-2-20020000-22-200002-200−2i2i00−2i2i22-2-200000000000000000−2i2i000000−2i2i000000
χ3522-2-20022-2-2000022-2-222-2-20020000-22-20000-22002i−2i00−2i2i-2-222000000000000000002i−2i000000−2i2i000000
χ3622-2-20022-2-2000022-2-222-2-20020000-22-20000-2200−2i2i002i−2i-2-22200000000000000000−2i2i0000002i−2i000000
χ372-22-22-22-2-22002-22222-2-2-2-20022-22-22-2-20000002i−2i002i−2i0000002-200000000000000000002i−2i2i−2i00000000
χ382-22-22-22-2-22002-22222-2-2-2-20022-22-22-2-2000000−2i2i00−2i2i0000002-20000000000000000000−2i2i−2i2i00000000
χ392-22-22-22-2-22002-22-12-1-211-200-12-2-11-1113−33−3002i−2i002i−2i00−i3i3−i3i3-11003−33−30000000−i3i30000−ii−ii00000000
χ402-22-22-22-2-22002-22-12-1-211-200-12-2-11-1113−33−300−2i2i00−2i2i00i3−i3i3−i3-11003−33−30000000i3−i30000i−ii−i00000000
χ412-22-22-22-2-22002-22-12-1-211-200-12-2-11-111−33−33002i−2i002i−2i00i3−i3i3−i3-1100−33−330000000i3−i30000−ii−ii00000000
χ422-22-22-22-2-22002-22-12-1-211-200-12-2-11-111−33−3300−2i2i00−2i2i00−i3i3−i3i3-1100−33−330000000−i3i30000i−ii−i00000000
χ432-22-2-222-2-2200-222222-2-2-2-2002-22-222-2-20000002i−2i00−2i2i000000-2200000000000000000002i−2i−2i2i00000000
χ442-22-2-222-2-2200-222222-2-2-2-2002-22-222-2-2000000−2i2i002i−2i000000-220000000000000000000−2i2i2i−2i00000000
χ452-22-2-222-2-2200-222-12-1-211-200-1-221-1-1113−3−33002i−2i00−2i2i00−i3i3−i3i31-1003−3−330000000i3−i30000−iii−i00000000
χ462-22-2-222-2-2200-222-12-1-211-200-1-221-1-1113−3−3300−2i2i002i−2i00i3−i3i3−i31-1003−3−330000000−i3i30000i−i−ii00000000
χ472-22-2-222-2-2200-222-12-1-211-200-1-221-1-111−333−3002i−2i00−2i2i00i3−i3i3−i31-100−333−30000000−i3i30000−iii−i00000000
χ482-22-2-222-2-2200-222-12-1-211-200-1-221-1-111−333−300−2i2i002i−2i00−i3i3−i3i31-100−333−30000000i3−i30000i−i−ii00000000
χ4944444444444444-2-2-2-2-2-2-2-2441-2-2-2-2111-2-2-2-20000000000000011-2-211110000000000000000000000000
χ504444444444-4-444-2-2-2-2-2-2-2-2-4-41-2-2-2-21112222000000000000001122-1-1-1-10000000000000000000000000
χ514444-4-444444-4-4-4-2-2-2-2-2-2-2-24-412222111-2-22200000000000000-1-1-2211-1-10000000000000000000000000
χ524444-4-44444-44-4-4-2-2-2-2-2-2-2-2-441222211122-2-200000000000000-1-12-2-1-1110000000000000000000000000
χ5344-4-40044-4-400004-2-424-22-400-200002-2200004-400000000-2-222000000000000000000000000000000000
χ5444-4-40044-4-400004-2-424-22-400-200002-220000-440000000022-2-2000000000000000000000000000000000
χ5544-4-40044-4-40000-242-4-24-4200-200002-220000000000004i−4i00000000000000000000000000000−2i2i000000
χ5644-4-40044-4-40000-242-4-24-4200-200002-22000000000000−4i4i000000000000000000000000000002i−2i000000
χ574-44-44-44-4-44004-4-24-242-4-4200-2-224-4-222000000000000000000-220000000000000000000000000000000
χ584-44-44-44-4-44004-4-2-2-2-22222001-22-221-1-123−2323−23000000000000001-100−33−330000000000000000000000000
χ594-44-44-44-4-44004-4-2-2-2-22222001-22-221-1-1−2323−2323000000000000001-1003−33−30000000000000000000000000
χ604-44-4-444-4-4400-44-24-242-4-4200-22-2-44-2220000000000000000002-20000000000000000000000000000000
χ614-44-4-444-4-4400-44-2-2-2-222220012-22-21-1-123−23−232300000000000000-1100−333−30000000000000000000000000
χ624-44-4-444-4-4400-44-2-2-2-222220012-22-21-1-1−232323−2300000000000000-11003−3−330000000000000000000000000
χ634-4-44004-44-4000044-4-4-4-4440040000-4-44000000000000000000000000000000000000000000000000000
χ644-4-44004-44-400004-2-42-42-2400-2000022-200000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ654-4-44004-44-400004-2-42-42-2400-2000022-2000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ664-4-44004-44-40000-242-42-44-200-2000022-2000000000000000000000000000000000000000000000−2i32i30000
χ674-4-44004-44-40000-242-42-44-200-2000022-20000000000000000000000000000000000000000000002i3−2i30000
χ68666666-3-3-3-366-3-300000000-3-30000000000000000220000000000000000020220000-1-1-1-100000000-1-100
χ69666666-3-3-3-366-3-300000000-3-30000000000000000-2-200000000000000000-20-2-200001111000000001100
χ70666666-3-3-3-3-6-6-3-3000000003300000000000000002200000000000000000-202-20000-1-1-1-1000000001100
χ71666666-3-3-3-3-6-6-3-300000000330000000000000000-2-20000000000000000020-220000111100000000-1-100
χ726666-6-6-3-3-3-36-63300000000-3300000000000000002200000000000000000-20-220000-1-111000000001-100
χ736666-6-6-3-3-3-36-63300000000-330000000000000000-2-200000000000000000202-2000011-1-100000000-1100
χ746666-6-6-3-3-3-3-6633000000003-30000000000000000220000000000000000020-2-20000-1-11100000000-1100
χ756666-6-6-3-3-3-3-6633000000003-30000000000000000-2-200000000000000000-2022000011-1-1000000001-100
χ7688-8-80088-8-80000-4-444-4-4440020000-22-2000000000000000000000000000000000000000000000000000
χ778-8-88008-88-80000-4-44444-4-40020000-2-22000000000000000000000000000000000000000000000000000
χ781212-12-1200-6-6660000000000000000000000000000004i−4i0000000000000000000000000−2i2i00000000000000
χ791212-12-1200-6-666000000000000000000000000000000−4i4i00000000000000000000000002i−2i00000000000000
χ8012-1212-1212-12-666-600-66000000000000000000000000000000000000000000000000000000000000000000000
χ8112-1212-12-1212-666-6006-6000000000000000000000000000000000000000000000000000000000000000000000
χ8212-12-121200-66-660000000000000000000000000000000000000000000000000000000000023−23000000000000
χ8312-12-121200-66-6600000000000000000000000000000000000000000000000000000000000−2323000000000000

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