Finite Group Databasebeta

← Group #13140883

Character table — Group #13140883

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size11112222224444444466666666121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order12223446664412121212121233666666366612121212441212121212121212121212121212444888812121212121224242424242424244412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-111
χ51111111111-1-111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111-1-111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111
χ81111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-111111-111-1-1
χ92222222222222222222-12-12-12-1-1-1-1-12-12-100000022-1-1-1-1-1-1-1-100000220000000000-1-1-1-10200-1-1
χ102222222222222222222-12-12-12-1-1-1-1-12-12-100000022-1-1-1-1-1-1-1-100000-2-2000000000011110-20011
χ11222222222222222222-12-12-12-12-1-1-1-1-12-12000000-1-122-1-1-1-1-1-10002200000000-1-1-1-1000020-1-100
χ12222222222222222222-12-12-12-12-1-1-1-1-12-12000000-1-122-1-1-1-1-1-1000-2-20000000011110000-201100
χ132222222222-2-222-2-2-2-22-12-12-12-1-1-1-1-12-12-1000000-2-211-1-1111100000220000000000-1-1-1-10-20011
χ142222222222-2-222-2-2-2-22-12-12-12-1-1-1-1-12-12-1000000-2-211-1-1111100000-2-2000000000011110200-1-1
χ152222222222-2-222-2-2-2-2-12-12-12-12-1-1-1-1-12-1200000011-2-2-1-111110002200000000-1-1-1-10000-201100
χ162222222222-2-222-2-2-2-2-12-12-12-12-1-1-1-1-12-1200000011-2-2-1-11111000-2-2000000001111000020-1-100
χ1722222-2-222200-2-20000222222222222-2-2-2-22222220000-2-20000-2000000-2-2000000000000000000
χ1822222-2-222200-2-20000222222222222-2-2-2-2-2-2-2-2-2-20000-2-20000200000022000000000000000000
χ1922-2-222-22-2-22-22-222-2-222-2-222-2-22-2-2222-2-20000002-22-22-222-2-2000000000000000000000000000
χ2022-2-222-22-2-22-22-222-2-22-1-212-1-21-111-12-1-210000002-2-11-11-1-1110000000000000000033−3−300003−3
χ2122-2-222-22-2-22-22-222-2-22-1-212-1-21-111-12-1-210000002-2-11-11-1-11100000000000000000−3−3330000−33
χ2222-2-222-22-2-22-22-222-2-2-121-2-121-2-111-1-121-2000000-112-2-11-1-111000000000000033−3−30000003−300
χ2322-2-222-22-2-22-22-222-2-2-121-2-121-2-111-1-121-2000000-112-2-11-1-1110000000000000−3−333000000−3300
χ2422-2-222-22-2-2-222-2-2-22222-2-222-2-22-2-2222-2-2000000-22-222-2-2-222000000000000000000000000000
χ2522-2-222-22-2-2-222-2-2-2222-1-212-1-21-111-12-1-21000000-221-1-1111-1-10000000000000000033−3−30000−33
χ2622-2-222-22-2-2-222-2-2-2222-1-212-1-21-111-12-1-21000000-221-1-1111-1-100000000000000000−3−33300003−3
χ2722-2-222-22-2-2-222-2-2-222-121-2-121-2-111-1-121-20000001-1-22-1111-1-1000000000000033−3−3000000−3300
χ2822-2-222-22-2-2-222-2-2-222-121-2-121-2-111-1-121-20000001-1-22-1111-1-10000000000000−3−3330000003−300
χ2922-2-22-222-2-200-22000022-2-222-2-22-2-22-2-2220000000000-22000002i−2i0000002i2i−2i−2i00000000000000
χ3022-2-22-222-2-200-22000022-2-222-2-22-2-22-2-2220000000000-2200000−2i2i000000−2i−2i2i2i00000000000000
χ312-2-22200-22-20000000022-2-2-2-22222-2-200002-222-2-20000000000000−i2i2−i2i2000000−i2i2−i2i2−i2i2−i2i2000000
χ322-2-22200-22-20000000022-2-2-2-22222-2-200002-222-2-20000000000000i2−i2i2−i2000000i2−i2i2−i2i2−i2i2−i2000000
χ332-2-22200-22-20000000022-2-2-2-22222-2-20000-22-2-2220000000000000−i2i2i2−i2000000−i2i2−i2i2i2−i2i2−i2000000
χ342-2-22200-22-20000000022-2-2-2-22222-2-20000-22-2-2220000000000000i2−i2−i2i2000000i2−i2i2−i2−i2i2−i2i2000000
χ35444444444444444444-2-2-2-2-2-2-2-21111-2-2-2-2000000-2-2-2-2111111000000000000000000000000000
χ364444444444-4-444-4-4-4-4-2-2-2-2-2-2-2-21111-2-2-2-2000000222211-1-1-1-1000000000000000000000000000
χ3744444-4-444400-4-400004-24-24-24-2-2-2-2-2-42-420000000000220000000000000000000000000000000
χ3844444-4-444400-4-40000-24-24-24-24-2-2-2-22-42-40000000000220000000000000000000000000000000
χ3944444-4-444400-4-40000-2-2-2-2-2-2-2-2111122220000000000-1-13-33-3000000000000000000000000000
χ4044444-4-444400-4-40000-2-2-2-2-2-2-2-2111122220000000000-1-1-33-33000000000000000000000000000
χ4144-4-444-44-4-44-44-444-4-4-2-222-2-2221-1-11-2-222000000-22-221-111-1-1000000000000000000000000000
χ4244-4-444-44-4-4-444-4-4-444-2-222-2-2221-1-11-2-2220000002-22-21-1-1-111000000000000000000000000000
χ4344-4-44-444-4-400-4400004-2-424-2-42-222-2-424-200000000002-20000000000000000000000000000000
χ4444-4-44-444-4-400-440000-242-4-242-4-222-22-4-2400000000002-20000000000000000000000000000000
χ4544-4-44-444-4-400-440000-2-222-2-2221-1-1122-2-20000000000-113-3-33000000000000000000000000000
χ4644-4-44-444-4-400-440000-2-222-2-2221-1-1122-2-20000000000-11-333-3000000000000000000000000000
χ474-44-4400-4-44000000004444-4-4-4-44-44-400000000000000000000000000000000000000000000000
χ484-44-4400-4-44000000004-24-2-42-42-22-220000000000000000000000000000000000000i6−i6−i6i6000000
χ494-44-4400-4-44000000004-24-2-42-42-22-220000000000000000000000000000000000000−i6i6i6−i6000000
χ504-44-4400-4-4400000000-24-242-42-4-22-22000000000000000000000000000000000i6−i6−i6i60000000000
χ514-44-4400-4-4400000000-24-242-42-4-22-22000000000000000000000000000000000−i6i6i6−i60000000000
χ524-4-44400-44-4000000004-2-42-424-2-2-2220000000000000000000000000−2i22i20000000000i2−i2i2−i2000000
χ534-4-44400-44-4000000004-2-42-424-2-2-22200000000000000000000000002i2−2i20000000000−i2i2−i2i2000000
χ544-4-44400-44-400000000-242-42-4-24-2-22200000000000000000000000−2i22i200000000i2−i2i2−i20000000000
χ554-4-44400-44-400000000-242-42-4-24-2-222000000000000000000000002i2−2i200000000−i2i2−i2i20000000000
χ566666-366-3-3-366-3-3-3-3-3-3000000000000000022-1-1-1-100000000002220000-1-1-1-1-1-100000000000000
χ576666-366-3-3-366-3-3-3-3-3-30000000000000000-2-211110000000000-2-2-2000011111100000000000000
χ586666-366-3-3-3-6-6-3-33333000000000000000022-1-1-1-100000000002-2-20000-1-1111100000000000000
χ596666-366-3-3-3-6-6-3-333330000000000000000-2-211110000000000-222000011-1-1-1-100000000000000
χ606666-3-6-6-3-3-30033−3i33i3−3i33i3000000000000000022-1-1-1-10000000000-200000011−i3i3−i3i300000000000000
χ616666-3-6-6-3-3-30033−3i33i3−3i33i30000000000000000-2-2111100000000002000000-1-1i3−i3i3−i300000000000000
χ626666-3-6-6-3-3-300333i3−3i33i3−3i3000000000000000022-1-1-1-10000000000-200000011i3−i3i3−i300000000000000
χ636666-3-6-6-3-3-300333i3−3i33i3−3i30000000000000000-2-2111100000000002000000-1-1−i3i3−i3i300000000000000
χ6466-6-6-36-6-3336-6-33-3-3330000000000000000003−33−3000000000000000003−33−3−3300000000000000
χ6566-6-6-36-6-3336-6-33-3-333000000000000000000−33−3300000000000000000−33−333−300000000000000
χ6666-6-6-36-6-333-66-3333-3-30000000000000000003−33−3000000000000000003−3−333−300000000000000
χ6766-6-6-36-6-333-66-3333-3-3000000000000000000−33−3300000000000000000−333−3−3300000000000000
χ6866-6-6-3-66-333003-3−3i33i33i3−3i30000000000000000003−33−3000000000002i−2i0000−33−i−iii00000000000000
χ6966-6-6-3-66-333003-3−3i33i33i3−3i3000000000000000000−33−3300000000000−2i2i00003−3ii−i−i00000000000000
χ7066-6-6-3-66-333003-33i3−3i3−3i33i30000000000000000003−33−300000000000−2i2i0000−33ii−i−i00000000000000
χ7166-6-6-3-66-333003-33i3−3i3−3i33i3000000000000000000−33−33000000000002i−2i00003−3−i−iii00000000000000
χ728-88-8800-8-8800000000-4-4-4-444442-22-200000000000000000000000000000000000000000000000
χ738-8-88800-88-800000000-4-44444-4-422-2-200000000000000000000000000000000000000000000000
χ7412-1212-12-60066-60000000000000000000000000023−23−23230000000000000000000000000000000000000
χ7512-1212-12-60066-600000000000000000000000000−232323−230000000000000000000000000000000000000
χ7612-12-1212-6006-660000000000000000000000004-4-2-2220000000000000000000000000000000000000
χ7712-12-1212-6006-66000000000000000000000000-4422-2-20000000000000000000000000000000000000

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