Finite Group Databasebeta

← Group #13149879

Character table — Group #13149879

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11222222244444444666699121212121212121212121818181818181824242424242424242424363636363636363636363636363636367272727272727272
order122344612126881224242424336622366612121212121224466121261224242424242424242222224468812242424246666661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-11111111111-1-1-1-1-1-1-11111111111111-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-11-1
χ4111111111111111111111-1-11111111111-1-1-1-1-1-1-11111111111-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-1111-11
χ51111111111-1-11-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-111-111-1-1-11-1-11-1-1-1-111-111-1-1-1
χ61111111111-1-11-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-11-1-1111
χ71111111111-1-11-1-1-1-11111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-11-111-1111111-1-1-11-11
χ81111111111-1-11-1-1-1-11111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-11-1-111-11111-1-1111-11-1
χ911-11-11111-11-1-111-1-11111111-1-11-1-11111-11-11111-1-11111-1-1-1-11-111-11-1-1-11-1-111-1-11-111-11-1-1
χ1011-11-11111-11-1-111-1-11111111-1-11-1-11111-11-11111-1-11111-1-1-1-1-11-1-11-111-11-1-111-1-1-11-1-11-111
χ1111-11-11111-11-1-111-1-11111-1-11-1-11-1-111111-11-1-1-1-1-1-11111-1-1-1-11-11-11-1-111-111-1-1111-11-11-1-11
χ1211-11-11111-11-1-111-1-11111-1-11-1-11-1-111111-11-1-1-1-1-1-11111-1-1-1-1-11-11-111-11-111-1-111-11-11-111-1
χ1311-11-11111-1-11-1-1-1111111111-1-11-1-11111-11-11111-1-1-1-1-1-111111-1-11-1-111-1-11-1-1-1111-1-11-1-111
χ1411-11-11111-1-11-1-1-1111111111-1-11-1-11111-11-11111-1-1-1-1-1-11111-111-111-1-1-1-11-1-1-111-111-111-1-1
χ1511-11-11111-1-11-1-1-1111111-1-11-1-11-1-111111-11-1-1-1-1-1-1-1-1-1-111111-1-1-1111-111-1111-1-11-1-1-1111-1
χ1611-11-11111-1-11-1-1-1111111-1-11-1-11-1-111111-11-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1111-1111-1-1-1111-1-1-11
χ17222222222222222222-12-100-12-1-12-12-1-1-10000000-1-12-1-1-12-1-1-10002220200000000000-1-1-10-1
χ18222222222222222222-12-100-12-1-12-12-1-1-10000000-1-12-1-1-12-1-1-1000-2-2-20-20000000000011101
χ1922222222222222222-12-1200-1-12-1-12-12-1-10000000-1-1-12-1-1-12-1-12220002000000000-1-1-1000-10
χ2022222222222222222-12-1200-1-12-1-12-12-1-10000000-1-1-12-1-1-12-1-1-2-2-2000-200000000011100010
χ212222222222-2-22-2-2-2-22-12-100-12-1-12-12-1-1-10000000-1-1-2111-211100022-20-200000000000-1-1101
χ222222222222-2-22-2-2-2-22-12-100-12-1-12-12-1-1-10000000-1-1-2111-2111000-2-22020000000000011-10-1
χ232222222222-2-22-2-2-2-2-12-1200-1-12-1-12-12-1-10000000-1-11-2111-21122-2000-2000000000-1-1100010
χ242222222222-2-22-2-2-2-2-12-1200-1-12-1-12-12-1-10000000-1-11-2111-211-2-22000200000000011-1000-10
χ252222-2-22-2-2200-200002222222222-2-2-2-2-2-22-2-222-2-22-20000000000000000200-2000000000000
χ262222-2-22-2-2200-200002222-2-22222-2-2-2-2-2-2-222-2-2222-20000000000000000-2002000000000000
χ2722-222-22-2-2-200200002222222-2-2222-2-2-2-2-2-2222-2-2-220000000000000000-2002000000000000
χ2822-222-22-2-2-200200002222-2-22-2-2222-2-2-2-222-2-2-222-220000000000000000200-2000000000000
χ2922-22-22222-22-2-222-2-22-12-100-1-21-1-212-1-1-10000000112-1-1-1-21110002-220-200000000000-11-101
χ3022-22-22222-22-2-222-2-22-12-100-1-21-1-212-1-1-10000000112-1-1-1-2111000-22-202000000000001-110-1
χ3122-22-22222-22-2-222-2-2-12-1200-11-2-11-2-12-1-1000000011-12-1-11-2112-22000-2000000000-11-100010
χ3222-22-22222-22-2-222-2-2-12-1200-11-2-11-2-12-1-1000000011-12-1-11-211-22-200020000000001-11000-10
χ3322-22-22222-2-22-2-2-2222-12-100-1-21-1-212-1-1-1000000011-21112-1-1-10002-2-20200000000000-1110-1
χ3422-22-22222-2-22-2-2-2222-12-100-1-21-1-212-1-1-1000000011-21112-1-1-1000-2220-2000000000001-1-101
χ3522-22-22222-2-22-2-2-222-12-1200-11-2-11-2-12-1-10000000111-211-12-1-12-2-20002000000000-111000-10
χ3622-22-22222-2-22-2-2-222-12-1200-11-2-11-2-12-1-10000000111-211-12-1-1-222000-20000000001-1-100010
χ3744444444444444444-2-2-2-2001-2-21-2-2-2-211000000011-2-211-2-211000000000000000000000000
χ384444444444-4-44-4-4-4-4-2-2-2-2001-2-21-2-2-2-21100000001122-1-122-1-1000000000000000000000000
χ394444-4-44-4-4400-400004-24-200-24-2-2-42-42220000000-2200000000000000000000000000000000
χ404444-4-44-4-4400-40000-24-2400-2-24-22-42-4220000000-2200000000000000000000000000000000
χ414444-4-44-4-4400-40000-2-2-2-2001-2-212222-1-100000001-1003i−3i003i−3i000000000000000000000000
χ424444-4-44-4-4400-40000-2-2-2-2001-2-212222-1-100000001-100−3i3i00−3i3i000000000000000000000000
χ4344-444-44-4-4-400400004-24-200-2-42-24-2-422200000002-200000000000000000000000000000000
χ4444-444-44-4-4-40040000-24-2400-22-4-2-242-42200000002-200000000000000000000000000000000
χ4544-444-44-4-4-40040000-2-2-2-2001221-2-222-1-10000000-11003i−3i00−3i3i000000000000000000000000
χ4644-444-44-4-4-40040000-2-2-2-2001221-2-222-1-10000000-1100−3i3i003i−3i000000000000000000000000
χ4744-44-44444-44-4-444-4-4-2-2-2-200122122-2-2110000000-1-1-2-21122-1-1000000000000000000000000
χ4844-44-44444-4-44-4-4-444-2-2-2-200122122-2-2110000000-1-122-1-1-2-211000000000000000000000000
χ494-40400-4000000000044-4-44-4400-40000000004-4000000000000000000000000000000000000
χ504-40400-4000000000044-4-4-44400-4000000000-44000000000000000000000000000000000000
χ51666-366-3-3-3-366-3-3-3-3-30000220000000000222-1-1-1-1000000000000000000-122-1-1-1-1-100000000
χ52666-366-3-3-3-366-3-3-3-3-30000-2-20000000000-2-2-211110000000000000000001-2-21111100000000
χ53666-366-3-3-3-3-6-6-333330000220000000000222-1-1-1-1000000000000000000-1-2-2-1111100000000
χ54666-366-3-3-3-3-6-6-333330000-2-20000000000-2-2-211110000000000000000001221-1-1-1-100000000
χ55666-3-6-6-333-300333−3333−3300002200000000002-2-2-1-111000000000000000000-10013−33−300000000
χ56666-3-6-6-333-300333−3333−330000-2-20000000000-22211-1-1000000000000000000100-1−33−3300000000
χ57666-3-6-6-333-3003−3333−333300002200000000002-2-2-1-111000000000000000000-1001−33−3300000000
χ58666-3-6-6-333-3003−3333−33330000-2-20000000000-22211-1-1000000000000000000100-13−33−300000000
χ5966-6-36-6-333300-333−33−33330000220000000000-2-22-1-111000000000000000000100-13−3−3300000000
χ6066-6-36-6-333300-333−33−33330000-2-2000000000022-211-1-1000000000000000000-1001−333−300000000
χ6166-6-36-6-333300-3−333333−330000220000000000-2-22-1-111000000000000000000100-1−333−300000000
χ6266-6-36-6-333300-3−333333−330000-2-2000000000022-211-1-1000000000000000000-10013−3−3300000000
χ6366-6-3-66-3-3-336-63-3-3330000220000000000-22-2-1-1-1-100000000000000000012-21-1-11100000000
χ6466-6-3-66-3-3-336-63-3-3330000-2-200000000002-221111000000000000000000-1-22-111-1-100000000
χ6566-6-3-66-3-3-33-66333-3-30000220000000000-22-2-1-1-1-10000000000000000001-22111-1-100000000
χ6666-6-3-66-3-3-33-66333-3-30000-2-200000000002-221111000000000000000000-12-2-1-1-11100000000
χ678-80800-800000000008-4-8400-400400000000000000000000000000000000000000000000000
χ688-80800-80000000000-484-800-400400000000000000000000000000000000000000000000000
χ698-80800-80000000000-4-44400200-200006i−6i00000000000000000000000000000000000000000
χ708-80800-80000000000-4-44400200-20000−6i6i00000000000000000000000000000000000000000
χ7112-120-600663−630000000000004-40000000000000-2223−230000000000000000000000000000000000
χ7212-120-600663−63000000000000-4400000000000002-2−23230000000000000000000000000000000000
χ7312-120-6006−63630000000000004-40000000000000-22−23230000000000000000000000000000000000
χ7412-120-6006−6363000000000000-4400000000000002-223−230000000000000000000000000000000000

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