Finite Group Databasebeta

← Group #13149481

Character table — Group #13149481

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order122234466644121233666666121244443666121212121212121222444444441212121212121212121212124444446612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111111111-11-1-11-111-1-1-1-1-1-1-1-1-1-111-1-111
χ4111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-111111111-1-11-1-11-1-11111-1-1-1-1-1-1-1-111-1-1
χ51111111111-1-11111111111-1-11111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1
χ61111111111-1-11111111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-111-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1111-1-1-1-111-1-1111111-1-1
χ81111111111-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-111-1-1-1111111-1-111-1-1-1-111
χ911111-1-11111-1-1-1111111111-111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-11-1-1-1-111-1-1111-11111-1-1-1-1-1-111-1-11-11-1
χ1011111-1-11111-1-1-1111111111-111111111-1-111-1-1-1-1-1-1-1-111-1-1111111-11-1-1-1-111-11-11-11-1-1-1-111-1-1-1-11111-11-11
χ1111111-1-11111-1-1-1111111111-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-1111-1-1-11111-1-1111111-1-1-1-1-111-1
χ1211111-1-11111-1-1-1111111111-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-111-1-11111-1-1111-1-11
χ1311111-1-1111-11-1-111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-111111-111-1-1-1-111-1-1-111111-1-111-1-1-1-1-1-1-11-11
χ1411111-1-1111-11-1-111111111-1111111111-1-1-1-111-1-1-1-1-1-111-1-11111111-111-1-1-1-11-11-11-1-1-1-1-11111-1-1-1-1111-11-1
χ1511111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1111-1-111-1-111-1-11111-1-11-1-11
χ1611111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1111-1-111-1-1-1-1111111-111-1
χ17222222222222222-1-12-122-1220000-1-1-1-1222222-1-122002200000000-1-1-1-1-1-1-1-1020020-1-10000000000-1-100-1-1
χ18222222222222222-1-12-122-1220000-1-1-1-1222222-1-1-2-200-2-200000000-1-1-1-1-1-1-1-10-200-20110000000000110011
χ1922222222222222-122-12-1-12222222-1-1-1-1-1-1-1-1-1-1220000002200-1-1-1-122-1-1-1-1-1-1200200000000-1-1-1-1-1-1000000
χ2022222222222222-122-12-1-1222-2-2-2-2-1-1-1-1-1-1-1-1-1-122000000-2-200111122-1-1-1-1-1-1-200-200000000111111000000
χ212222222222-2-2222-1-12-122-1-2-20000-1-1-1-122-2-2-2-2-1-1220022000000001111-1-1110-200-20-1-10000000000-1-10011
χ222222222222-2-2222-1-12-122-1-2-20000-1-1-1-122-2-2-2-2-1-1-2-200-2-2000000001111-1-1110200201100000000001100-1-1
χ232222222222-2-222-122-12-1-12-2-22222-1-1-1-1-1-11111220000002200-1-1-1-1-2-211-1-111-200-20000000011-1-111000000
χ242222222222-2-222-122-12-1-12-2-2-2-2-2-2-1-1-1-1-1-1111122000000-2-2001111-2-211-1-111200200000000-1-111-1-1000000
χ2522222-2-22222-2-2-22-1-12-122-12-20000-1-1-1-1-2-222-2-2112200-2-2000000001-11111-1-10-20020-1-100000000001100-11
χ2622222-2-22222-2-2-22-1-12-122-12-20000-1-1-1-1-2-222-2-211-2-20022000000001-11111-1-10200-20110000000000-1-1001-1
χ2722222-2-22222-2-2-2-122-12-1-122-22222-1-1-1-111-1-111-2-2000000-2-200-1-1-1-1-221111-1-1-2002000000001111-1-1000000
χ2822222-2-22222-2-2-2-122-12-1-122-2-2-2-2-2-1-1-1-111-1-111-2-200000022001111-221111-1-1200-200000000-1-1-1-111000000
χ2922222-2-2222-22-2-22-1-12-122-1-220000-1-1-1-1-2-2-2-222112200-2-200000000-11-1-111110200-20-1-1000000000011001-1
χ3022222-2-2222-22-2-22-1-12-122-1-220000-1-1-1-1-2-2-2-22211-2-2002200000000-11-1-111110-20020110000000000-1-100-11
χ3122222-2-2222-22-2-2-122-12-1-12-222222-1-1-1-11111-1-1-2-2000000-2-200-1-1-1-12-2-1-11111200-200000000-1-11111000000
χ3222222-2-2222-22-2-2-122-12-1-12-22-2-2-2-2-1-1-1-11111-1-1-2-2000000220011112-2-1-11111-20020000000011-1-1-1-1000000
χ3322-2-22002-2-200002222-2-2-2-20022-2-222-2-2000000002-22-200000022-2-2000000000000002-22-200000000000000
χ3422-2-22002-2-200002222-2-2-2-20022-2-222-2-200000000-22-2200000022-2-200000000000000-22-2200000000000000
χ3522-2-22002-2-200002222-2-2-2-200-2-22222-2-2000000002-2-22000000-2-222000000000000002-2-2200000000000000
χ3622-2-22002-2-200002222-2-2-2-200-2-22222-2-200000000-222-2000000-2-22200000000000000-222-200000000000000
χ372-22-2200-22-2000022-2-2-22-22002i−2i2i−2i2-2-220000000000002-2002i−2i2i−2i2i−2i0000000000000000002i−2i0000002-20000
χ382-22-2200-22-2000022-2-2-22-22002i−2i2i−2i2-2-22000000000000-2200−2i2i2i−2i2i−2i000000000000000000−2i2i000000-220000
χ392-22-2200-22-2000022-2-2-22-2200−2i2i−2i2i2-2-220000000000002-200−2i2i−2i2i−2i2i000000000000000000−2i2i0000002-20000
χ402-22-2200-22-2000022-2-2-22-2200−2i2i−2i2i2-2-22000000000000-22002i−2i−2i2i−2i2i0000000000000000002i−2i000000-220000
χ412-2-2222i−2i-2-22002i−2i22-2-22-22-2002i−2i−2i2i2-22-22i−2i00002i−2i0000002-2002i−2i−2i2i00002i−2i00000000000000002-200000000
χ422-2-2222i−2i-2-22002i−2i22-2-22-22-200−2i2i2i−2i2-22-22i−2i00002i−2i000000-2200−2i2i2i−2i00002i−2i0000000000000000-2200000000
χ432-2-2222i−2i-2-22002i−2i-12-2121-1-2002i−2i−2i2i-11-11−ii3−3−i3i32i−2i0000002-200−iii−i00−i3i3−ii3−30000000000003−3-11−i3i3000000
χ442-2-2222i−2i-2-22002i−2i-12-2121-1-2002i−2i−2i2i-11-11−ii−33i3−i32i−2i0000002-200−iii−i00i3−i3−ii−33000000000000−33-11i3−i3000000
χ452-2-2222i−2i-2-22002i−2i-12-2121-1-200−2i2i2i−2i-11-11−ii3−3−i3i32i−2i000000-2200i−i−ii00−i3i3−ii3−3000000000000−331-1i3−i3000000
χ462-2-2222i−2i-2-22002i−2i-12-2121-1-200−2i2i2i−2i-11-11−ii−33i3−i32i−2i000000-2200i−i−ii00i3−i3−ii−330000000000003−31-1−i3i3000000
χ472-2-222−2i2i-2-2200−2i2i22-2-22-22-2002i−2i−2i2i2-22-2−2i2i0000−2i2i000000-22002i−2i−2i2i0000−2i2i0000000000000000-2200000000
χ482-2-222−2i2i-2-2200−2i2i22-2-22-22-200−2i2i2i−2i2-22-2−2i2i0000−2i2i0000002-200−2i2i2i−2i0000−2i2i00000000000000002-200000000
χ492-2-222−2i2i-2-2200−2i2i-12-2121-1-2002i−2i−2i2i-11-11i−i3−3i3−i3−2i2i000000-2200−iii−i00i3−i3i−i3−3000000000000−331-1−i3i3000000
χ502-2-222−2i2i-2-2200−2i2i-12-2121-1-2002i−2i−2i2i-11-11i−i−33−i3i3−2i2i000000-2200−iii−i00−i3i3i−i−330000000000003−31-1i3−i3000000
χ512-2-222−2i2i-2-2200−2i2i-12-2121-1-200−2i2i2i−2i-11-11i−i3−3i3−i3−2i2i0000002-200i−i−ii00i3−i3i−i3−30000000000003−3-11i3−i3000000
χ522-2-222−2i2i-2-2200−2i2i-12-2121-1-200−2i2i2i−2i-11-11i−i−33−i3i3−2i2i0000002-200i−i−ii00−i3i3i−i−33000000000000−33-11−i3i3000000
χ5344444444444444-2-2-2-2-2-2-2-24400001111-2-2-2-2-2-2-2-200000000000000-2-2111111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-400001111-2-22222-2-20000000000000022-1-111-1-1000000000000000000000000
χ5544444-4-44444-4-4-4-2-2-2-2-2-2-2-24-40000111122-2-22222000000000000002-2-1-1-1-111000000000000000000000000
χ5644444-4-4444-44-4-4-2-2-2-2-2-2-2-2-44000011112222-2-22200000000000000-2211-1-1-1-1000000000000000000000000
χ5744-4-44004-4-400004-2-242-4-42000000-2-222000000004-400000000000000000000000000-220000000000000000
χ5844-4-44004-4-400004-2-242-4-42000000-2-22200000000-44000000000000000000000000002-20000000000000000
χ5944-4-44004-4-40000-244-2-422-40044-4-4-2-222000000000000000000-2-22200000000000000000000000000000000
χ6044-4-44004-4-40000-244-2-422-400-4-444-2-22200000000000000000022-2-200000000000000000000000000000000
χ614-44-4400-44-400004-22-424-4-2000000-222-20000000000004-40000000000000000000000000000000000-220000
χ624-44-4400-44-400004-22-424-4-2000000-222-2000000000000-4400000000000000000000000000000000002-20000
χ634-44-4400-44-40000-24-42-4-224004i−4i4i−4i-222-2000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ644-44-4400-44-40000-24-42-4-22400−4i4i−4i4i-222-20000000000000000002i−2i2i−2i00000000000000000000000000000000
χ654-4-4444i−4i-4-44004i−4i4-22-4-2-442000000-22-224i−4i0000−2i2i000000000000000000−2i2i00000000000000000000000000
χ664-4-4444i−4i-4-44004i−4i-2-222-22-220000001-11-1−2i2i23−23−2i32i3−2i2i0000000000000000i3−i3i−i−33000000000000000000000000
χ674-4-4444i−4i-4-44004i−4i-2-222-22-220000001-11-1−2i2i−23232i3−2i3−2i2i0000000000000000−i3i3i−i3−3000000000000000000000000
χ684-4-444−4i4i-4-4400−4i4i4-22-4-2-442000000-22-22−4i4i00002i−2i0000000000000000002i−2i00000000000000000000000000
χ694-4-444−4i4i-4-4400−4i4i-2-222-22-220000001-11-12i−2i23−232i3−2i32i−2i0000000000000000−i3i3−ii−33000000000000000000000000
χ704-4-444−4i4i-4-4400−4i4i-2-222-22-220000001-11-12i−2i−2323−2i32i32i−2i0000000000000000i3−i3−ii3−3000000000000000000000000
χ716666-366-3-3-366-3-300000000-3-30000000000000000002200002200000000000000200200-1-1-1-100000000-1-100
χ726666-366-3-3-366-3-300000000-3-3000000000000000000-2-20000-2-200000000000000-200-2001111000000001100
χ736666-366-3-3-3-6-6-3-300000000330000000000000000002200002200000000000000-200-200-1-1-1-1000000001100
χ746666-366-3-3-3-6-6-3-30000000033000000000000000000-2-20000-2-200000000000000200200111100000000-1-100
χ756666-3-6-6-3-3-36-63300000000-33000000000000000000220000-2-200000000000000200-200-1-11100000000-1100
χ766666-3-6-6-3-3-36-63300000000-33000000000000000000-2-200002200000000000000-20020011-1-1000000001-100
χ776666-3-6-6-3-3-3-6633000000003-3000000000000000000220000-2-200000000000000-200200-1-111000000001-100
χ786666-3-6-6-3-3-3-6633000000003-3000000000000000000-2-200002200000000000000200-20011-1-100000000-1100
χ7988-8-88008-8-80000-4-4-4-4444400000022-2-2000000000000000000000000000000000000000000000000000000
χ808-88-8800-88-80000-4-4444-44-40000002-2-22000000000000000000000000000000000000000000000000000000
χ811212-12-12-600-666000000000000000000000000000000004-400000000000000000000000000-2200000000000000
χ821212-12-12-600-66600000000000000000000000000000000-44000000000000000000000000002-200000000000000
χ8312-1212-12-6006-66000000000000000000000000000000000000004i−4i0000000000000000000000−2i2i000000000000
χ8412-1212-12-6006-6600000000000000000000000000000000000000−4i4i00000000000000000000002i−2i000000000000
χ8512-12-1212-612i−12i66-600−6i6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-12-1212-6−12i12i66-6006i−6i000000000000000000000000000000000000000000000000000000000000000000000000

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