Finite Group Databasebeta

← Group #13151954

Character table — Group #13151954

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size112222244444666666889912121212121212121212121212181818181818182424242424242424363636363636363636363636363636367272727272727272
order12234462461212336612126124436666612121212121212224661212666612121212222444666888812121266121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11111111111111-1-1-1-1-1-1-111111111-111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111
χ411111111111111111111-1-11111111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-11111-1-1
χ51111111-1-1111111111-1-111111-1-1111-1-11111111111-11-1-1-11-1-1-111-1111-1-1-1-1-1-11-1-11111-1-1-1-1
χ61111111-1-1111111111-1-111111-1-1111-1-11111111111-11-1-1-11-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111
χ71111111-1-1111111111-1-1-1-1111-1-1111-1-1111-1-1-1-1-1-1-1-11-1-1-11-1-11111-1-1-111-1-111-11111-1-111-1-1
χ81111111-1-1111111111-1-1-1-1111-1-1111-1-1111-1-1-1-1-1-1-1-11-1-1-11-1-11-1-1111-11111-1-1-111-1-111-1-111
χ911-11-1111-1-1-111111-1-11-1111-1-1111-11-1-1-1-111-1-1-1-1111-111-11-1-1-11-111-11-1-11-11-1-1111-11-11-11-1
χ1011-11-1111-1-1-111111-1-11-1111-1-1111-11-1-1-1-111-1-1-1-1111-111-11-1-1-1-111-111-1-1-11-11-111-11-11-11-11
χ1111-11-1111-1-1-111111-1-11-1-1-11-1-1111-11-1-1-1-11-11111-1-11-111-11-1-111-1-1-11-1111-1-111-1-11-1-11-111-1
χ1211-11-1111-1-1-111111-1-11-1-1-11-1-1111-11-1-1-1-11-11111-1-11-111-11-1-11-11-11-1-111-111-11-1-1-111-11-1-11
χ1311-11-111-11-1-111111-1-1-11111-1-1-1-11-1111-1-111-1-1-1-111-1-1-1-1111111-1-11-1111-11-11-1-1-11-11-1-11-11
χ1411-11-111-11-1-111111-1-1-11111-1-1-1-11-1111-1-111-1-1-1-111-1-1-1-111111-11-1-111111-11-1-1-1-1-11-111-11-1
χ1511-11-111-11-1-111111-1-1-11-1-11-1-1-1-11-1111-1-11-11111-1-1-1-1-1-11111-11-11-11-1-1-1-111-11111-1-111-1-11
χ1611-11-111-11-1-111111-1-1-11-1-11-1-1-1-11-1111-1-11-11111-1-1-1-1-1-11111-1-1111-1-1-1-11-1-11111-111-1-111-1
χ172222222222222-12-1-1-12222-12-1-1-1-12-1-1-1-1-12222-1-1-1-12-1-1-12-1-1-1200200-1-1-10000-1-1-100000000
χ182222222222222-12-1-1-122-2-2-12-1-1-1-12-1-1-1-1-12-2-2-211112-1-1-12-1-1-1-200-200111000011100000000
χ19222222222222-12-12222200-1-1222-1-1222-1-1-10000000-1-1-1-1-1-1-1-10220000002200000-1-10000-1-1
χ20222222222222-12-12222200-1-1222-1-1222-1-1-10000000-1-1-1-1-1-1-1-10-2-2000000-2-20000011000011
χ212222222-2-22222-12-1-1-1-2-222-12-111-12-111-1-12222-1-1-1-1-2-111-2-111-200-200-1110000-11100000000
χ222222222-2-22222-12-1-1-1-2-2-2-2-12-111-12-111-1-12-2-2-21111-2-111-2-1112002001-1-100001-1-100000000
χ232222222-2-2222-12-1222-2-200-1-12-2-2-1-12-2-2-1-1-100000001-1111-111022000000-2-200000-1-1000011
χ242222222-2-2222-12-1222-2-200-1-12-2-2-1-12-2-2-1-1-100000001-1111-1110-2-20000002200000110000-1-1
χ252222-2-22002-2-22222-2-20022222002-2-200-2-2-2-2-22-2-22202000-200000000-200000020000000000
χ262222-2-22002-2-22222-2-200-2-2222002-2-200-2-2-222-222-2-202000-2000000002000000-20000000000
χ272222-2-22002-2-22-12-1110022-12-1−i3i3-1-21−i3i311-2-2-2211-1-10-1−i3i301−i3i30000001−i3i30000-1−i3i300000000
χ282222-2-22002-2-22-12-1110022-12-1i3−i3-1-21i3−i311-2-2-2211-1-10-1i3−i301i3−i30000001i3−i30000-1i3−i300000000
χ292222-2-22002-2-22-12-11100-2-2-12-1−i3i3-1-21−i3i311-222-2-1-1110-1−i3i301−i3i3000000-1i3−i300001i3−i300000000
χ302222-2-22002-2-22-12-11100-2-2-12-1i3−i3-1-21i3−i311-222-2-1-1110-1i3−i301i3−i3000000-1−i3i300001−i3i300000000
χ3122-222-2200-22-222222200222-2-20022-20022-2-22-222220-2000-200000000-2000000-20000000000
χ3222-222-2200-22-222222200-2-22-2-20022-20022-22-22-2-2-2-20-2000-200000000200000020000000000
χ3322-222-2200-22-22-12-1-1-10022-1-21−i3i3-121i3−i3-1-1-2-22-2-1-1-1-101−i3i301i3−i30000001i3−i300001−i3i300000000
χ3422-222-2200-22-22-12-1-1-10022-1-21i3−i3-121−i3i3-1-1-2-22-2-1-1-1-101i3−i301−i3i30000001−i3i300001i3−i300000000
χ3522-222-2200-22-22-12-1-1-100-2-2-1-21−i3i3-121i3−i3-1-1-22-22111101−i3i301i3−i3000000-1−i3i30000-1i3−i300000000
χ3622-222-2200-22-22-12-1-1-100-2-2-1-21i3−i3-121−i3i3-1-1-22-22111101i3−i301−i3i3000000-1i3−i30000-1−i3i300000000
χ3722-22-2222-2-2-222-12-1112-222-1-21-1-1-1-2-1111122-2-211-1-121-1-1-2-111-200200-11100001-1-100000000
χ3822-22-2222-2-2-222-12-1112-2-2-2-1-21-1-1-1-2-111112-222-1-11121-1-1-2-111200-2001-1-10000-11100000000
χ3922-22-2222-2-2-22-12-12-2-22-200-11-222-112-2-211-10000000-11-1-11-11102-20000002-200000-110000-11
χ4022-22-2222-2-2-22-12-12-2-22-200-11-222-112-2-211-10000000-11-1-11-1110-22000000-22000001-100001-1
χ4122-22-222-22-2-222-12-111-2222-1-2111-1-2-1-1-11122-2-211-1-1-21112-1-1-1200-200-1-1-1000011100000000
χ4222-22-222-22-2-222-12-111-22-2-2-1-2111-1-2-1-1-1112-222-1-111-21112-1-1-1-2002001110000-1-1-100000000
χ4322-22-222-22-2-22-12-12-2-2-2200-11-2-2-2-1122211-100000001111-1-1-1-102-2000000-2200000-1100001-1
χ4422-22-222-22-2-22-12-12-2-2-2200-11-2-2-2-1122211-100000001111-1-1-1-10-220000002-2000001-10000-11
χ45444444444444-2-2-2-2-2-244001-2-2-2-21-2-2-2-211-20000000-2111-2111000000000000000000000000
χ464444444-4-4444-2-2-2-2-2-2-4-4001-2-2221-2-22211-2000000021-1-121-1-1000000000000000000000000
χ474444-4-44004-4-4-24-24-4-40000-2-2400-22-40022200000000-2000200000000000000000000000000
χ484444-4-44004-4-4-2-2-2-22200001-2-2−2i32i3122−2i32i3-1-12000000001i3−i30-1i3−i3000000000000000000000000
χ494444-4-44004-4-4-2-2-2-22200001-2-22i3−2i31222i3−2i3-1-12000000001−i3i30-1−i3i3000000000000000000000000
χ5044-444-4400-44-4-24-24440000-22-400-2-2-400-2-22000000002000200000000000000000000000000
χ5144-444-4400-44-4-2-2-2-2-2-20000122−2i32i31-222i3−2i311200000000-1i3−i30-1−i3i3000000000000000000000000
χ5244-444-4400-44-4-2-2-2-2-2-200001222i3−2i31-22−2i32i311200000000-1−i3i30-1i3−i3000000000000000000000000
χ5344-44-4444-4-4-44-2-2-2-2224-400122-2-212-222-1-1-20000000-2-11121-1-1000000000000000000000000
χ5444-44-444-44-4-44-2-2-2-222-44001222212-2-2-2-1-1-200000002-1-1-1-2111000000000000000000000000
χ554-40400-40000044-4-400004i−4i40000-40000000000004i−4i00000000000000000000000000000000
χ564-40400-40000044-4-40000−4i4i40000-4000000000000−4i4i00000000000000000000000000000000
χ574-40400-4000004-2-4223−23004i−4i-200002000023−230000−2i32i3−2i2i00000000000000000000000000000000
χ584-40400-4000004-2-4223−2300−4i4i-200002000023−2300002i3−2i32i−2i00000000000000000000000000000000
χ594-40400-4000004-2-42−2323004i−4i-2000020000−232300002i3−2i3−2i2i00000000000000000000000000000000
χ604-40400-4000004-2-42−232300−4i4i-2000020000−23230000−2i32i32i−2i00000000000000000000000000000000
χ61666-366-366-3-3-3000000-3-3000000000000000000000000000000000022000002200000-1-1-1-100
χ62666-366-366-3-3-3000000-3-30000000000000000000000000000000000-2-200000-2-200000111100
χ63666-366-3-6-6-3-3-30000003300000000000000000000000000000000002200000-2-200000-1-11100
χ64666-366-3-6-6-3-3-3000000330000000000000000000000000000000000-2-200000220000011-1-100
χ6566-6-3-66-36-633-3000000-3300000000000000000000000000000000002-2000002-200000-11-1100
χ6666-6-3-66-36-633-3000000-330000000000000000000000000000000000-2200000-22000001-11-100
χ6766-6-3-66-3-6633-30000003-300000000000000000000000000000000002-200000-2200000-111-100
χ6866-6-3-66-3-6633-30000003-30000000000000000000000000000000000-22000002-2000001-1-1100
χ698-80800-800000-484-8000000-4000040000000000000000000000000000000000000000000000
χ708-80800-800000-4-44443−43000020000-20000−23230000000000000000000000000000000000000000
χ718-80800-800000-4-444−4343000020000-2000023−230000000000000000000000000000000000000000
χ72121212-6-12-12-600-66600000000000000000000000000000000000000000000000000000000000000
χ731212-12-612-12-6006-6600000000000000000000000000000000000000000000000000000000000000
χ7424-240-1200120000000000000000000000000000000000000000000000000000000000000000000

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