Finite Group Databasebeta

← Group #13151393

Character table — Group #13151393

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size112222244444444466666612121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order122344622666661212336666366661212121222448866666666121222224466668881212121224242424666122424
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111111111111-1-1-11-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1111111111111-111-1-1-1-1-1-1-11-1-1-1-1-1-11111-111-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-11-11-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1111
χ51111111-1-11-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111-1-11111-1-1-1-111
χ61111111-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1111-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ71111111-1-11-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111-1-1111-1-1-1-11111111-1-11-1-1
χ81111111-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-111-111-1-111-1-1-1-1-111-111
χ911-11-1111-1-111-1-11-111-1-1111-1-1-11-1-1111-11-1111-11-111-1-11-111-11-1-11-111-11-11-1-1-111-1-111-1-11-1
χ1011-11-1111-1-111-1-11-111-1-1111-1-1-11-1-1111-11-1-1-11-11-111-1-11-11-11-1-111-1111-111-1-1-1-1-111-1-111-11
χ1111-11-1111-1-111-1-11-111-1-1111-1-1-11-1-111-11-11111-11-111-1-11-1-11-1-111-11-1-1-1-11-111111-1-1-11-11-11
χ1211-11-1111-1-111-1-11-111-1-1111-1-1-11-1-111-11-11-1-11-11-111-1-11-1-1-1111-1-11-1-111-1-1111-1-1111-11-11-1
χ1311-11-111-11-1-1-1111-111-1-1111-1-1-11-1-1111-11-111-11-11-1-1111-1-1-11-1111-1-1-1-11-11-11111-1-1-1-1111-1
χ1411-11-111-11-1-1-1111-111-1-1111-1-1-11-1-1111-11-1-1-1-11-11-1-1111-1-11-111-11-1-1-11-111-111-1-11111-1-1-11
χ1511-11-111-11-1-1-1111-111-1-1111-1-1-11-1-111-11-1111-11-11-1-1111-11-111-1-1-1111-1-11-11-1-111-1-11-11-1-11
χ1611-11-111-11-1-1-1111-111-1-1111-1-1-11-1-111-11-11-1-1-11-11-1-1111-111-1-1-11-111111-1-11-1-1-1-111-11-111-1
χ1722222222222222222-1-1-1-12-12-1-1-1-12-1200002222-1-1-1-1-1-1-1-102200000002000000-1-1-1-10-1-1000
χ1822222222222222222-1-1-1-12-12-1-1-1-12-120000-2-222-1-1-1-1-1-1-1-10-2-20000000-20000001111011000
χ192222222222222222-12222-1-1-1-1-1-12-12-1000000-1-122-1-1-1-1-1-1000202000002200000000-100-1-1-1
χ202222222222222222-12222-1-1-1-1-1-12-12-1000000-1-122-1-1-1-1-1-1000-20-200000-2-200000000100111
χ212222222-2-22-2-2-2-2222-1-1-1-12-12-1-1-1-12-12000022-2-2111111-1-10-2-200000002000000-1-1-1-1011000
χ222222222-2-22-2-2-2-2222-1-1-1-12-12-1-1-1-12-120000-2-2-2-2111111-1-10220000000-200000011110-1-1000
χ232222222-2-22-2-2-2-222-12222-1-1-1-1-1-12-12-100000011-2-21111-1-100020200000-2-200000000-100-111
χ242222222-2-22-2-2-2-222-12222-1-1-1-1-1-12-12-100000011-2-21111-1-1000-20-20000022000000001001-1-1
χ252222-2-220020000-2-222222222222-2-2-2-22-2-220000000000-2-20000002-200000-22000000000000
χ262222-2-220020000-2-222222222222-2-2-2-2-222-20000000000-2-2000000-22000002-2000000000000
χ2722-222-2200-20000-2222-2-2222-2-2-2222-2-222-2-20000000000-220000002200000-2-2000000000000
χ2822-222-2200-20000-2222-2-2222-2-2-2222-2-2-2-2220000000000-22000000-2-20000022000000000000
χ2922-22-2222-2-222-2-22-22-111-12-1-211-11-2-120000222-2-11-1-111-1102-20000000-2000000-1-1110-11000
χ3022-22-2222-2-222-2-22-22-111-12-1-211-11-2-120000-2-22-2-11-1-111-110-220000000200000011-1-101-1000
χ3122-22-2222-2-222-2-22-2-12-2-22-1-1111-1-212-1000000-112-2-1-111-1100020-2000002-200000000-1001-11
χ3222-22-2222-2-222-2-22-2-12-2-22-1-1111-1-212-1000000-112-2-1-111-11000-20200000-2200000000100-11-1
χ3322-22-222-22-2-2-2222-22-111-12-1-211-11-2-12000022-221-111-1-1-110-220000000-2000000-1-11101-1000
χ3422-22-222-22-2-2-2222-22-111-12-1-211-11-2-120000-2-2-221-111-1-1-1102-20000000200000011-1-10-11000
χ3522-22-222-22-2-2-2222-2-12-2-22-1-1111-1-212-10000001-1-2211-1-1-1100020-200000-2200000000-10011-1
χ3622-22-222-22-2-2-2222-2-12-2-22-1-1111-1-212-10000001-1-2211-1-1-11000-202000002-200000000100-1-11
χ374444444444444444-2-2-2-2-2-21-2111-2-2-2-2000000-2-2-2-2111111000000000000000000000000000
χ384444444-4-44-4-4-4-444-2-2-2-2-2-21-2111-2-2-2-20000002222-1-1-1-111000000000000000000000000000
χ394444-4-440040000-4-44-2-2-2-24-24-2-2-22-42-40000000000000022000000000000000000000000000
χ404444-4-440040000-4-4-24444-2-2-2-2-2-2-42-420000000000000022000000000000000000000000000
χ414444-4-440040000-4-4-2-2-2-2-2-21-2111222200000000003-33-3-1-1000000000000000000000000000
χ424444-4-440040000-4-4-2-2-2-2-2-21-211122220000000000-33-33-1-1000000000000000000000000000
χ4344-444-4400-40000-444-222-24-2-422-2-242-4000000000000002-2000000000000000000000000000
χ4444-444-4400-40000-44-24-4-44-2-2222-24-2-42000000000000002-2000000000000000000000000000
χ4544-444-4400-40000-44-2-222-2-212-1-11-2-22200000000003-3-33-11000000000000000000000000000
χ4644-444-4400-40000-44-2-222-2-212-1-11-2-2220000000000-333-3-11000000000000000000000000000
χ4744-44-4444-4-444-4-44-4-2-222-2-212-1-1122-2-2000000-22-2211-1-11-1000000000000000000000000000
χ4844-44-444-44-4-4-4444-4-2-222-2-212-1-1122-2-20000002-22-2-1-1111-1000000000000000000000000000
χ494-40400-40000000004400-4-44000-40000000022−2200000000000000000000000000022−2200000000
χ504-40400-40000000004400-4-44000-400000000−2222000000000000000000000000000−222200000000
χ514-40400-40000000004-2−2i32i32-4-20−2i32i320000000022−22000000000000000000000000000−22i6−i6000000
χ524-40400-40000000004-2−2i32i32-4-20−2i32i3200000000−22220000000000000000000000000002−2−i6i6000000
χ534-40400-40000000004-22i3−2i32-4-202i3−2i320000000022−22000000000000000000000000000−22−i6i6000000
χ544-40400-40000000004-22i3−2i32-4-202i3−2i3200000000−22220000000000000000000000000002−2i6−i6000000
χ55666-366-366-3-3-3-3-3-3-30000000000000002222000000000000200020-1-1-1-1000-1-1-1-10000000000
χ56666-366-366-3-3-3-3-3-3-3000000000000000-2-2-2-2000000000000-2000-20111100011110000000000
χ57666-366-3-6-6-33333-3-30000000000000002222000000000000-2000-20-1-111000-1-1110000000000
χ58666-366-3-6-6-33333-3-3000000000000000-2-2-2-200000000000020002011-1-100011-1-10000000000
χ59666-3-6-6-300-3−3i33i3−3i33i3330000000000000002-2-22000000000000000000-11−i3i30001-1−i3i30000000000
χ60666-3-6-6-300-3−3i33i3−3i33i333000000000000000-222-20000000000000000001-1i3−i3000-11i3−i30000000000
χ61666-3-6-6-300-33i3−3i33i3−3i3330000000000000002-2-22000000000000000000-11i3−i30001-1i3−i30000000000
χ62666-3-6-6-300-33i3−3i33i3−3i333000000000000000-222-20000000000000000001-1−i3i3000-11−i3i30000000000
χ6366-6-36-6-3003−3i33i33i3−3i33-300000000000000022-2-2000000000000000000-1-1−i3i300011i3−i30000000000
χ6466-6-36-6-3003−3i33i33i3−3i33-3000000000000000-2-22200000000000000000011i3−i3000-1-1−i3i30000000000
χ6566-6-36-6-30033i3−3i3−3i33i33-300000000000000022-2-2000000000000000000-1-1i3−i300011−i3i30000000000
χ6666-6-36-6-30033i3−3i3−3i33i33-3000000000000000-2-22200000000000000000011−i3i3000-1-1i3−i30000000000
χ6766-6-3-66-36-63-3-333-330000000000000002-22-20000000000002000-20-11-1-1000-11110000000000
χ6866-6-3-66-36-63-3-333-33000000000000000-22-22000000000000-2000201-1110001-1-1-10000000000
χ6966-6-3-66-3-66333-3-3-330000000000000002-22-2000000000000-200020-1111000-11-1-10000000000
χ7066-6-3-66-3-66333-3-3-33000000000000000-22-220000000000002000-201-1-1-10001-1110000000000
χ718-80800-8000000000-4800-84-4000400000000000000000000000000000000000000000000000
χ728-80800-8000000000-4-4−4i34i344202i3−2i3-200000000000000000000000000000000000000000000000
χ738-80800-8000000000-4-44i3−4i34420−2i32i3-200000000000000000000000000000000000000000000000
χ7424-240-1200120000000000000000000000000000000000000000000000000000000000000000000

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