Finite Group Databasebeta

← Group #13149420

Character table — Group #13149420

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order122234466644121233666666121222223666121212121212121222224444446666121212121212121244444466661212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111111111-11-1-11-111-1-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-111111111-1-11-1-11-1-111-1-1-1-1-1-1-1-111-1-111
χ51111111111-1-11111111111-1-111111111-1-11111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1
χ61111111111-1-11111111111-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-111-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-111-1111-1-11111-1-111-1-1-1-111
χ81111111111-1-11111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-111-1-1-111-1-111-1-1111111-1-1
χ911111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-1-1-11-1-1-1111111-1-111-1-1-1-1-1-1-11-11
χ1011111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1111-11-1
χ1111111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1-1-11-111-1-1-1-1-1-1111-111-1-1-1-1-1-1111111-111-1
χ1211111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-111-1-1-1-1-11-11-11-1-11111-1-11111-1-11-1-11
χ1311111-1-1111-11-1-111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-1-1-111-1111-1-11111-1-1-1-1-1-111-1-11-11-1
χ1411111-1-1111-11-1-111111111-1111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-11-1-1-1-111-1-1-1111-1-1-1-111-1-1-1-11111-11-11
χ1511111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-11-1-1-1-11111-1-1-1111-1-1-1-11111-1-1111-1-11
χ1611111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11-1-1-1-1111-11-11-1-1-111111111-1-1-1-1-111-1
χ17222222222222222-12-12-12-1220000-1-1-1-12222-1-12200220000220000-1-1-1-1-1-1-1-100200200-1-100000000-1-100-1-1
χ18222222222222222-12-12-12-1220000-1-1-1-12222-1-12200-2-20000-2-20000-1-1-1-1-1-1-1-100-200-2001100000000110011
χ1922222222222222-12-12-12-12222222-1-1-1-1-1-1-1-122-1-10000220000-1-1-1-122-1-1-1-1-1-1200200000000-1-1-1-1-1-1000000
χ2022222222222222-12-12-12-1222-2-2-2-2-1-1-1-1-1-1-1-122-1-10000-2-20000111122-1-1-1-1-1-1-200-200000000111111000000
χ212222222222-2-2222-12-12-12-1-2-20000-1-1-1-1-2-222-1-1-2-2002200002200001111-1-11100-200-200-1-100000000-1-10011
χ222222222222-2-2222-12-12-12-1-2-20000-1-1-1-1-2-222-1-1-2-200-2-20000-2-200001111-1-1110020020011000000001100-1-1
χ232222222222-2-222-12-12-12-12-2-22222-1-1-1-111-1-122110000220000-1-1-1-1-2-211-1-111-200-20000000011-1-111000000
χ242222222222-2-222-12-12-12-12-2-2-2-2-2-2-1-1-1-111-1-122110000-2-200001111-2-211-1-111200200000000-1-111-1-1000000
χ2522222-2-22222-2-2-22-12-12-12-12-20000-1-1-1-122-2-211-2-200220000-2-20000-11-1-1111100-200200-1-10000000011001-1
χ2622222-2-22222-2-2-22-12-12-12-12-20000-1-1-1-122-2-211-2-200-2-20000220000-11-1-1111100200-2001100000000-1-100-11
χ2722222-2-22222-2-2-2-12-12-12-122-22222-1-1-1-1-1-111-2-2110000-2-20000-1-1-1-12-2-1-11111200-200000000-1-11111000000
χ2822222-2-22222-2-2-2-12-12-12-122-2-2-2-2-2-1-1-1-1-1-111-2-211000022000011112-2-1-11111-20020000000011-1-1-1-1000000
χ2922222-2-2222-22-2-22-12-12-12-1-220000-1-1-1-1-2-2-2-2112200220000-2-200001-11111-1-100200-200-1-1000000001100-11
χ3022222-2-2222-22-2-22-12-12-12-1-220000-1-1-1-1-2-2-2-2112200-2-200002200001-11111-1-100-2002001100000000-1-1001-1
χ3122222-2-2222-22-2-2-12-12-12-12-222222-1-1-1-11111-2-2-1-10000-2-20000-1-1-1-1-221111-1-1-2002000000001111-1-1000000
χ3222222-2-2222-22-2-2-12-12-12-12-22-2-2-2-2-1-1-1-11111-2-2-1-100002200001111-221111-1-1200-200000000-1-1-1-111000000
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
χ372-22-222i−2i-22-2002i−2i22-2-222-2-2002-22-22-22-2002i−2i2i−2i0000002i−2i00002-22-200002i−2i00000000000000002i−2i00000000
χ382-22-222i−2i-22-2002i−2i22-2-222-2-200-22-222-22-2002i−2i2i−2i000000−2i2i0000-22-2200002i−2i0000000000000000−2i2i00000000
χ392-22-222i−2i-22-2002i−2i-121-2-121-2002-22-2-11-11−i3i3−ii2i−2i3−300002i−2i0000-11-1100−i3i3−ii3−3000000000000−i3i3−ii3−3000000
χ402-22-222i−2i-22-2002i−2i-121-2-121-2002-22-2-11-11i3−i3−ii2i−2i−3300002i−2i0000-11-1100i3−i3−ii−33000000000000i3−i3−ii−33000000
χ412-22-222i−2i-22-2002i−2i-121-2-121-200-22-22-11-11−i3i3−ii2i−2i3−30000−2i2i00001-11-100−i3i3−ii3−3000000000000i3−i3i−i−33000000
χ422-22-222i−2i-22-2002i−2i-121-2-121-200-22-22-11-11i3−i3−ii2i−2i−330000−2i2i00001-11-100i3−i3−ii−33000000000000−i3i3i−i3−3000000
χ432-22-22−2i2i-22-200−2i2i22-2-222-2-2002-22-22-22-200−2i2i−2i2i000000−2i2i00002-22-20000−2i2i0000000000000000−2i2i00000000
χ442-22-22−2i2i-22-200−2i2i22-2-222-2-200-22-222-22-200−2i2i−2i2i0000002i−2i0000-22-220000−2i2i00000000000000002i−2i00000000
χ452-22-22−2i2i-22-200−2i2i-121-2-121-2002-22-2-11-11−i3i3i−i−2i2i−330000−2i2i0000-11-1100−i3i3i−i−33000000000000−i3i3i−i−33000000
χ462-22-22−2i2i-22-200−2i2i-121-2-121-2002-22-2-11-11i3−i3i−i−2i2i3−30000−2i2i0000-11-1100i3−i3i−i3−3000000000000i3−i3i−i3−3000000
χ472-22-22−2i2i-22-200−2i2i-121-2-121-200-22-22-11-11−i3i3i−i−2i2i−3300002i−2i00001-11-100−i3i3i−i−33000000000000i3−i3−ii3−3000000
χ482-22-22−2i2i-22-200−2i2i-121-2-121-200-22-22-11-11i3−i3i−i−2i2i3−300002i−2i00001-11-100i3−i3i−i3−3000000000000−i3i3−ii−33000000
χ492-2-22200-2-22000022-2-2-2-222002-2-222-2-22000000000000002-22-22-2-220000000000000000002-20000002-20000
χ502-2-22200-2-22000022-2-2-2-222002-2-222-2-2200000000000000-22-222-2-22000000000000000000-22000000-220000
χ512-2-22200-2-22000022-2-2-2-22200-222-22-2-22000000000000002-2-22-222-20000000000000000002-2000000-220000
χ522-2-22200-2-22000022-2-2-2-22200-222-22-2-2200000000000000-222-2-222-2000000000000000000-220000002-20000
χ5344444444444444-2-2-2-2-2-2-2-24400001111-2-2-2-2-2-2-2-200000000000000-2-2111111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-40000111122-2-2-2-2220000000000000022-1-111-1-1000000000000000000000000
χ5544444-4-44444-4-4-4-2-2-2-2-2-2-2-24-400001111-2-222222200000000000000-2211-1-1-1-1000000000000000000000000
χ5644444-4-4444-44-4-4-2-2-2-2-2-2-2-2-4400001111222222-2-2000000000000002-2-1-1-1-111000000000000000000000000
χ5744-4-44004-4-400004-24-2-42-42000000-2-22200000000004-400000000000000000000000000-2200000000000000
χ5844-4-44004-4-400004-24-2-42-42000000-2-2220000000000-44000000000000000000000000002-200000000000000
χ5944-4-44004-4-40000-24-242-42-40044-4-4-2-222000000000000000000-2-22200000000000000000000000000000000
χ6044-4-44004-4-40000-24-242-42-400-4-444-2-22200000000000000000022-2-200000000000000000000000000000000
χ614-44-444i−4i-44-4004i−4i4-2-424-2-42000000-22-22004i−4i−2i2i00000000000000000000−2i2i00000000000000000000000000
χ624-44-444i−4i-44-4004i−4i-2-222-2-2220000001-11-1−2i32i3−2i2i−2i2i23−230000000000000000i3−i3i−i−33000000000000000000000000
χ634-44-444i−4i-44-4004i−4i-2-222-2-2220000001-11-12i3−2i3−2i2i−2i2i−23230000000000000000−i3i3i−i3−3000000000000000000000000
χ644-44-44−4i4i-44-400−4i4i4-2-424-2-42000000-22-2200−4i4i2i−2i000000000000000000002i−2i00000000000000000000000000
χ654-44-44−4i4i-44-400−4i4i-2-222-2-2220000001-11-1−2i32i32i−2i2i−2i−23230000000000000000i3−i3−ii3−3000000000000000000000000
χ664-44-44−4i4i-44-400−4i4i-2-222-2-2220000001-11-12i3−2i32i−2i2i−2i23−230000000000000000−i3i3−ii−33000000000000000000000000
χ674-4-44400-4-4400004-2-42-424-2000000-222-200000000000000004-4000000000000000000000000000000-220000
χ684-4-44400-4-4400004-2-42-424-2000000-222-20000000000000000-440000000000000000000000000000002-20000
χ694-4-44400-4-440000-242-42-4-24004-4-44-222-2000000000000000000-222-200000000000000000000000000000000
χ704-4-44400-4-440000-242-42-4-2400-444-4-222-20000000000000000002-2-2200000000000000000000000000000000
χ716666-366-3-3-366-3-300000000-3-300000000000000002200002200000000000000020020-1-100-1-100000000-1-100
χ726666-366-3-3-366-3-300000000-3-30000000000000000-2-20000-2-2000000000000000-200-20110011000000001100
χ736666-366-3-3-3-6-6-3-30000000033000000000000000022000022000000000000000-200-20-1-100-1-1000000001100
χ746666-366-3-3-3-6-6-3-300000000330000000000000000-2-20000-2-20000000000000002002011001100000000-1-100
χ756666-3-6-6-3-3-36-63300000000-330000000000000000220000-2-2000000000000000-20020-1-10011000000001-100
χ766666-3-6-6-3-3-36-63300000000-330000000000000000-2-2000022000000000000000200-201100-1-100000000-1100
χ776666-3-6-6-3-3-3-6633000000003-30000000000000000220000-2-2000000000000000200-20-1-1001100000000-1100
χ786666-3-6-6-3-3-3-6633000000003-30000000000000000-2-2000022000000000000000-200201100-1-1000000001-100
χ7988-8-88008-8-80000-4-4-4-4444400000022-2-2000000000000000000000000000000000000000000000000000000
χ808-8-88800-8-880000-4-44444-4-40000002-2-22000000000000000000000000000000000000000000000000000000
χ811212-12-12-600-6660000000000000000000000000000004-400000000000000000000000000-220000000000000000
χ821212-12-12-600-666000000000000000000000000000000-44000000000000000000000000002-20000000000000000
χ8312-1212-12-612i−12i6-6600−6i6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212-12-6−12i12i6-66006i−6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-1212-60066-60000000000000000000000000000000000004-4000000000000000000000000-22000000000000
χ8612-12-1212-60066-6000000000000000000000000000000000000-440000000000000000000000002-2000000000000

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