Finite Group Databasebeta

← Group #13148545

Character table — Group #13148545

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order12223446662412123366666661244443666661212121212122244444444121212126661212121212244444661212121212121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-11-1-11-111-1-1-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-11-11-1-11111-1-1-1-1-1-1-1-1-111-1
χ51111111111-1-11111111111-1-111111-1-111111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1
χ61111111111-1-11111111111-1-111111-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-111-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-11-1-111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-1111-1-1-1-1-1-111111111-111-1
χ81111111111-1-11111111111-1-1-1-1-1-11-1-111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111-11-1-1-1111111-1-111-1-11-1-11
χ911111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-111-11-1-1-1-1-1-111-1-1-1-1111111-1-1
χ1011111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-111-1-11-1-111-1-1-1-11111-1-1-1-111
χ1111111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-1-1111111-1-111-1-1-1-1111-11-1
χ1211111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1111-111-1-1111111-1-1-1-1-11-11
χ1311111-1-1111-11-1-111111111-1111111-1-1111-1-111-1-1-1-111-1-1-1-1111111-1-1-11-1-111-1-11-111-1-1-1-11111-1-1-1-111-1-111
χ1411111-1-1111-11-1-111111111-1111111-1-1111-1-111-1-1-1-1-1-11111-1-11111-1-1-11-1-1111-1-111-1-1-111-1-11111-1-1-1-111-1-1
χ1511111-1-1111-11-1-111111111-11-1-1-1-11-1-1111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1111-1-11111-1-1-1-1-1-11111-11-11
χ1611111-1-1111-11-1-111111111-11-1-1-1-11-1-1111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1111-1-111-1-11111-1-11-11-1
χ17222222222222222-12-12-12-1220000-122-1-1-1-1-1222200220022000000-1-1-1-1-1-1-1-120200000000000-1-100-1-1-100-1
χ18222222222222222-12-12-12-1220000-122-1-1-1-1-1222200-2-200-2-2000000-1-1-1-1-1-1-1-1-20-2000000000001100111001
χ1922222222222222-12-12-12-12222222-1-1-1-1-1-122-1-1-1-12200000000-1-1-1-12-1-12-1-1-1-1020020-1-10000-1-100-1-1000000
χ2022222222222222-12-12-12-1222-2-2-2-2-1-1-1-1-1-122-1-1-1-1-2-20000000011112-1-12-1-1-1-10-200-20110000110011000000
χ212222222222-2-2222-12-12-12-1-2-20000-1-2-2-1-1-1-1-1-2-222002200220000001111-1-111-20-200000000000-1-100-1-11001
χ222222222222-2-2222-12-12-12-1-2-20000-1-2-2-1-1-1-1-1-2-22200-2-200-2-20000001111-1-11120200000000000110011-100-1
χ232222222222-2-222-12-12-12-12-2-22222-111-1-1-12211-1-12200000000-1-1-1-1-211-2-1-1110-200-20-1-10000110011000000
χ242222222222-2-222-12-12-12-12-2-2-2-2-2-2-111-1-1-12211-1-1-2-2000000001111-211-2-1-111020020110000-1-100-1-1000000
χ2522222-2-22222-2-2-22-12-12-12-12-20000-122-1-1-111-2-2-2-2002200-2-2000000-1-1-11111120-2000000000001100-1-1-1001
χ2622222-2-22222-2-2-22-12-12-12-12-20000-122-1-1-111-2-2-2-200-2-20022000000-1-1-111111-20200000000000-1-10011100-1
χ2722222-2-22222-2-2-2-12-12-12-122-22222-1-1-1-1-1-1-2-21111-2-200000000-1-1-1-12-1-1-211110200-201100001100-1-1000000
χ2822222-2-22222-2-2-2-12-12-12-122-2-2-2-2-2-1-1-1-1-1-1-2-21111220000000011112-1-1-211110-20020-1-10000-1-10011000000
χ2922222-2-2222-22-2-22-12-12-12-1-220000-1-2-2-1-1-11122-2-2002200-2-2000000111-111-1-1-202000000000001100-1-1100-1
χ3022222-2-2222-22-2-22-12-12-12-1-220000-1-2-2-1-1-11122-2-200-2-20022000000111-111-1-120-200000000000-1-10011-1001
χ3122222-2-2222-22-2-2-12-12-12-12-222222-111-1-1-1-2-2-1-111-2-200000000-1-1-1-1-211211-1-10-20020110000-1-10011000000
χ3222222-2-2222-22-2-2-12-12-12-12-22-2-2-2-2-111-1-1-1-2-2-1-11122000000001111-211211-1-10200-20-1-100001100-1-1000000
χ3322-2-22002-2-2000022-22-2-22-20022-2-2200-22-200000000002i−2i2i−2i0022-2-200000000000000002i−2i00002i−2i00000000
χ3422-2-22002-2-2000022-22-2-22-20022-2-2200-22-20000000000−2i2i−2i2i0022-2-20000000000000000−2i2i0000−2i2i00000000
χ3522-2-22002-2-2000022-22-2-22-200-2-222200-22-200000000002i−2i−2i2i00-2-22200000000000000002i−2i0000−2i2i00000000
χ3622-2-22002-2-2000022-22-2-22-200-2-222200-22-20000000000−2i2i2i−2i00-2-2220000000000000000−2i2i00002i−2i00000000
χ372-22-2200-22-20000222-2-2-2-22002i−2i2i−2i200-2-22000000002-200002i−2i2i−2i2i−2i0000000000000000002i−2i0000002-20000
χ382-22-2200-22-20000222-2-2-2-22002i−2i2i−2i200-2-2200000000-220000−2i2i2i−2i2i−2i000000000000000000−2i2i000000-220000
χ392-22-2200-22-20000222-2-2-2-2200−2i2i−2i2i200-2-22000000002-20000−2i2i−2i2i−2i2i000000000000000000−2i2i0000002-20000
χ402-22-2200-22-20000222-2-2-2-2200−2i2i−2i2i200-2-2200000000-2200002i−2i−2i2i−2i2i0000000000000000002i−2i000000-220000
χ412-2-2222i−2i-2-22002i−2i22-2-222-2-2002i−2i−2i2i2002-2-22i−2i002i−2i2-2000000002i−2i−2i2i00002i−2i000000002-20000000000000000
χ422-2-2222i−2i-2-22002i−2i22-2-222-2-200−2i2i2i−2i2002-2-22i−2i002i−2i-2200000000−2i2i2i−2i00002i−2i00000000-220000000000000000
χ432-2-2222i−2i-2-22002i−2i-121-2-121-2002i−2i−2i2i-1−i3i3-1112i−2i3−3−ii2-200000000−iii−i0−i3i30−ii3−3000000-110000−i3i3003−3000000
χ442-2-2222i−2i-2-22002i−2i-121-2-121-2002i−2i−2i2i-1i3−i3-1112i−2i−33−ii2-200000000−iii−i0i3−i30−ii−33000000-110000i3−i300−33000000
χ452-2-2222i−2i-2-22002i−2i-121-2-121-200−2i2i2i−2i-1−i3i3-1112i−2i3−3−ii-2200000000i−i−ii0−i3i30−ii3−30000001-10000i3−i300−33000000
χ462-2-2222i−2i-2-22002i−2i-121-2-121-200−2i2i2i−2i-1i3−i3-1112i−2i−33−ii-2200000000i−i−ii0i3−i30−ii−330000001-10000−i3i3003−3000000
χ472-2-222−2i2i-2-2200−2i2i22-2-222-2-2002i−2i−2i2i2002-2-2−2i2i00−2i2i-22000000002i−2i−2i2i0000−2i2i00000000-220000000000000000
χ482-2-222−2i2i-2-2200−2i2i22-2-222-2-200−2i2i2i−2i2002-2-2−2i2i00−2i2i2-200000000−2i2i2i−2i0000−2i2i000000002-20000000000000000
χ492-2-222−2i2i-2-2200−2i2i-121-2-121-2002i−2i−2i2i-1−i3i3-111−2i2i−33i−i-2200000000−iii−i0−i3i30i−i−330000001-10000i3−i3003−3000000
χ502-2-222−2i2i-2-2200−2i2i-121-2-121-2002i−2i−2i2i-1i3−i3-111−2i2i3−3i−i-2200000000−iii−i0i3−i30i−i3−30000001-10000−i3i300−33000000
χ512-2-222−2i2i-2-2200−2i2i-121-2-121-200−2i2i2i−2i-1−i3i3-111−2i2i−33i−i2-200000000i−i−ii0−i3i30i−i−33000000-110000−i3i300−33000000
χ522-2-222−2i2i-2-2200−2i2i-121-2-121-200−2i2i2i−2i-1i3−i3-111−2i2i3−3i−i2-200000000i−i−ii0i3−i30i−i3−3000000-110000i3−i3003−3000000
χ5344444444444444-2-2-2-2-2-2-2-24400001-2-2111-2-2-2-2-2-200000000000000-211-21111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-40000122111-2-222-2-2000000000000002-1-1211-1-1000000000000000000000000
χ5544444-4-44444-4-4-4-2-2-2-2-2-2-2-24-400001-2-211122222200000000000000-2112-1-1-1-1000000000000000000000000
χ5644444-4-4444-44-4-4-2-2-2-2-2-2-2-2-44000012211122-2-222000000000000002-1-1-2-1-111000000000000000000000000
χ5744-4-44004-4-400004-2-4-2-4242000000-2002-220000000000004i−4i0000000000000000000000000000−2i2i00000000
χ5844-4-44004-4-400004-2-4-2-4242000000-2002-22000000000000−4i4i00000000000000000000000000002i−2i00000000
χ5944-4-44004-4-40000-24242-4-2-40044-4-4-2002-220000000000000000-2-22200000000000000000000000000000000
χ6044-4-44004-4-40000-24242-4-2-400-4-444-2002-22000000000000000022-2-200000000000000000000000000000000
χ614-44-4400-44-400004-242-42-4-2000000-20022-2000000004-4000000000000000000000000000000000000-220000
χ624-44-4400-44-400004-242-42-4-2000000-20022-200000000-440000000000000000000000000000000000002-20000
χ634-44-4400-44-40000-24-2-42-424004i−4i4i−4i-20022-20000000000000000−2i2i−2i2i00000000000000000000000000000000
χ644-44-4400-44-40000-24-2-42-42400−4i4i−4i4i-20022-200000000000000002i−2i2i−2i00000000000000000000000000000000
χ654-4-4444i−4i-4-44004i−4i4-2-424-2-42000000-200-222−2i2i004i−4i000000000000000000−2i2i00000000000000000000000000
χ664-4-4444i−4i-4-44004i−4i-2-222-2-2220000001−2i32i31-1-1−2i2i23−23−2i2i000000000000000i3−i30i−i−33000000000000000000000000
χ674-4-4444i−4i-4-44004i−4i-2-222-2-22200000012i3−2i31-1-1−2i2i−2323−2i2i000000000000000−i3i30i−i3−3000000000000000000000000
χ684-4-444−4i4i-4-4400−4i4i4-2-424-2-42000000-200-2222i−2i00−4i4i0000000000000000002i−2i00000000000000000000000000
χ694-4-444−4i4i-4-4400−4i4i-2-222-2-2220000001−2i32i31-1-12i−2i−23232i−2i000000000000000i3−i30−ii3−3000000000000000000000000
χ704-4-444−4i4i-4-4400−4i4i-2-222-2-22200000012i3−2i31-1-12i−2i23−232i−2i000000000000000−i3i30−ii−33000000000000000000000000
χ716666-366-3-3-366-3-300000000-3-30000000000000000000022002200000000000000020200-1-1-1-1000000000-1-10
χ726666-366-3-3-366-3-300000000-3-300000000000000000000-2-200-2-2000000000000000-20-2001111000000000110
χ736666-366-3-3-3-6-6-3-3000000003300000000000000000000220022000000000000000-20-200-1-1-1-1000000000110
χ746666-366-3-3-3-6-6-3-3000000003300000000000000000000-2-200-2-2000000000000000202001111000000000-1-10
χ756666-3-6-6-3-3-36-63300000000-33000000000000000000002200-2-2000000000000000-20200-1-1110000000001-10
χ766666-3-6-6-3-3-36-63300000000-3300000000000000000000-2-2002200000000000000020-20011-1-1000000000-110
χ776666-3-6-6-3-3-3-6633000000003-3000000000000000000002200-2-200000000000000020-200-1-111000000000-110
χ786666-3-6-6-3-3-3-6633000000003-300000000000000000000-2-20022000000000000000-2020011-1-10000000001-10
χ7988-8-88008-8-80000-4-44-444-44000000200-22-20000000000000000000000000000000000000000000000000000
χ808-88-8800-88-80000-4-4-44444-4000000200-2-220000000000000000000000000000000000000000000000000000
χ811212-12-12-600-66600000000000000000000000000000000004i−4i000000000000000000000000−2i2i00000000000000
χ821212-12-12-600-6660000000000000000000000000000000000−4i4i0000000000000000000000002i−2i00000000000000
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).