Finite Group Databasebeta

← Group #13149881

Character table — Group #13149881

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11222222244444444666699121212121212121212121818181818181824242424242424242424363636363636363636363636363636367272727272727272
order12234461212688122424242433664436661212121212122246612126122424242424242424222244446881224242424666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-11111111111-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111-1-11111111111-1-1-1-1-1-1-11111111111-1-1-11-1111-1-1-1-1-1-1-1-11-1-1-1-1111
χ51111111111-1-11-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-111-1-1-111-11-1-11-1-1-1-1-111-1-111-1
χ61111111111-1-11-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-1-1-1-11-1-111-1-11
χ71111111111-1-11-1-1-1-11111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-1-1-11-111-11111111-1-1-1-11
χ81111111111-1-11-1-1-1-11111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-111-11111-1-1-11111-1
χ911-11-11111-11-1-111-1-11111111-1-11-1-111111-1-11111-1-11111-1-1-1-11-11-1-11-11-11-1-111-1-1-11-11-11-11
χ1011-11-11111-11-1-111-1-11111111-1-11-1-111111-1-11111-1-11111-1-1-1-1-11-111-11-1-11-1-111-1-11-11-11-11-1
χ1111-11-11111-11-1-111-1-11111-1-11-1-11-1-11111-111-1-1-1-1-1-11111-1-1-1-11-111-1-11-11-111-1-11111-11-1-11-1
χ1211-11-11111-11-1-111-1-11111-1-11-1-11-1-11111-111-1-1-1-1-1-11111-1-1-1-1-11-1-111-111-111-1-111-1-11-111-11
χ1311-11-11111-1-11-1-1-1111111111-1-11-1-111111-1-11111-1-1-1-1-1-111111-1-1111-1-1-1-11-1-1-11111-1-111-1-1
χ1411-11-11111-1-11-1-1-1111111111-1-11-1-111111-1-11111-1-1-1-1-1-11111-111-1-1-111-1-11-1-1-111-1-111-1-111
χ1511-11-11111-1-11-1-1-1111111-1-11-1-11-1-11111-111-1-1-1-1-1-1-1-1-1-111111-1-1-11-11111-1111-1-1-11-1-11-111
χ1611-11-11111-1-11-1-1-1111111-1-11-1-11-1-11111-111-1-1-1-1-1-1-1-1-1-11111-1111-11-1-111-1111-1-11-111-11-1-1
χ17222222222222222222-1-1200-12-1-1-12-12-1-10000000-1-12-1-1-12-1-1-122202000000000000-1-1-1-1000
χ18222222222222222222-1-1200-12-1-1-12-12-1-10000000-1-12-1-1-12-1-1-1-2-2-20-20000000000001111000
χ1922222222222222222-122-100-1-12-12-12-1-1-10000000-1-1-12-1-1-12-1-10002022200000000-10000-1-1-1
χ2022222222222222222-122-100-1-12-12-12-1-1-10000000-1-1-12-1-1-12-1-1000-20-2-2-20000000010000111
χ212222222222-2-22-2-2-2-22-1-1200-12-1-1-12-12-1-10000000-1-1-2111-211122-20-2000000000000-1-111000
χ222222222222-2-22-2-2-2-22-1-1200-12-1-1-12-12-1-10000000-1-1-2111-2111-2-220200000000000011-1-1000
χ232222222222-2-22-2-2-2-2-122-100-1-12-12-12-1-1-10000000-1-11-2111-21100020-2-2200000000-1000011-1
χ242222222222-2-22-2-2-2-2-122-100-1-12-12-12-1-1-10000000-1-11-2111-211000-2022-20000000010000-1-11
χ252222-2-22-2-2200-200002222222222-2-2-2-2-2-2-2-22-2-2222-20000000000000000-2002000000000000
χ262222-2-22-2-2200-200002222-2-22222-2-2-2-2-2-222-222-2-22-20000000000000000200-2000000000000
χ2722-222-22-2-2-200200002222222-2-2222-2-2-2-2-22-2-2-222-220000000000000000200-2000000000000
χ2822-222-22-2-2-200200002222-2-22-2-2222-2-2-2-22-2222-2-2-220000000000000000-2002000000000000
χ2922-22-22222-22-2-222-2-22-1-1200-1-21-11-2-12-1-10000000112-1-1-1-21112-220-2000000000000-11-11000
χ3022-22-22222-22-2-222-2-22-1-1200-1-21-11-2-12-1-10000000112-1-1-1-2111-22-2020000000000001-11-1000
χ3122-22-22222-22-2-222-2-2-122-100-11-2-1-212-1-1-1000000011-12-1-11-21100020-22-200000000-100001-11
χ3222-22-22222-22-2-222-2-2-122-100-11-2-1-212-1-1-1000000011-12-1-11-211000-202-220000000010000-11-1
χ3322-22-22222-2-22-2-2-2222-1-1200-1-21-11-2-12-1-1000000011-21112-1-1-12-2-202000000000000-111-1000
χ3422-22-22222-2-22-2-2-2222-1-1200-1-21-11-2-12-1-1000000011-21112-1-1-1-2220-20000000000001-1-11000
χ3522-22-22222-2-22-2-2-222-122-100-11-2-1-212-1-1-10000000111-211-12-1-1000202-2-200000000-10000-111
χ3622-22-22222-2-22-2-2-222-122-100-11-2-1-212-1-1-10000000111-211-12-1-1000-20-22200000000100001-1-1
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
χ394444-4-44-4-4400-400004-2-2400-24-2-22-42-4220000000-2200000000000000000000000000000000
χ404444-4-44-4-4400-40000-244-200-2-24-2-42-42220000000-2200000000000000000000000000000000
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
χ4344-444-44-4-4-400400004-2-2400-2-42-2-242-42200000002-200000000000000000000000000000000
χ4444-444-44-4-4-40040000-244-200-22-4-24-2-422200000002-200000000000000000000000000000000
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
χ494-40400-4000000000044-4-44i−4i400-4000000000004i−4i0000000000000000000000000000000000
χ504-40400-4000000000044-4-4−4i4i400-400000000000−4i4i0000000000000000000000000000000000
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
χ55666-3-6-6-333-300333−3333−330000220000000000-2-2211-1-1000000000000000000100-13−33−300000000
χ56666-3-6-6-333-300333−3333−330000-2-2000000000022-2-1-111000000000000000000-1001−33−3300000000
χ57666-3-6-6-333-3003−3333−33330000220000000000-2-2211-1-1000000000000000000100-1−33−3300000000
χ58666-3-6-6-333-3003−3333−33330000-2-2000000000022-2-1-111000000000000000000-10013−33−300000000
χ5966-6-36-6-333300-333−33−33330000220000000000-22-211-1-1000000000000000000-10013−3−3300000000
χ6066-6-36-6-333300-333−33−33330000-2-200000000002-22-1-111000000000000000000100-1−333−300000000
χ6166-6-36-6-333300-3−333333−330000220000000000-22-211-1-1000000000000000000-1001−333−300000000
χ6266-6-36-6-333300-3−333333−330000-2-200000000002-22-1-111000000000000000000100-13−3−3300000000
χ6366-6-3-66-3-3-336-63-3-33300002200000000002-2-2-1-1-1-100000000000000000012-21-1-11100000000
χ6466-6-3-66-3-3-336-63-3-3330000-2-20000000000-2221111000000000000000000-1-22-111-1-100000000
χ6566-6-3-66-3-3-33-66333-3-300002200000000002-2-2-1-1-1-10000000000000000001-22111-1-100000000
χ6666-6-3-66-3-3-33-66333-3-30000-2-20000000000-2221111000000000000000000-12-2-1-1-11100000000
χ678-80800-800000000008-44-800-400400000000000000000000000000000000000000000000000
χ688-80800-80000000000-48-8400-400400000000000000000000000000000000000000000000000
χ698-80800-80000000000-4-44400200-200006i−6i00000000000000000000000000000000000000000
χ708-80800-80000000000-4-44400200-20000−6i6i00000000000000000000000000000000000000000
χ7112-120-600663−630000000000004i−4i0000000000000−2i32i3−2i2i0000000000000000000000000000000000
χ7212-120-600663−63000000000000−4i4i00000000000002i3−2i32i−2i0000000000000000000000000000000000
χ7312-120-6006−63630000000000004i−4i00000000000002i3−2i3−2i2i0000000000000000000000000000000000
χ7412-120-6006−6363000000000000−4i4i0000000000000−2i32i32i−2i0000000000000000000000000000000000

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