Finite Group Databasebeta

← Group #13139181

Character table — Group #13139181

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size112222244466666688812121212121212121218182424242424242424242436363636363636363672727272727272727272727272
order12234466121233661212824243666121212121288612242424242424242424888242424244468121212121224242424
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11-1-11111-1-1-11-1-1-1-1-1-1-111
χ31111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-11-11-1-1-1111-1-1-1-1
χ41111111111111111111111111111-1-11111111111-1-1-111-1-1-1-1-11-1-111-1-1-111-1-1
χ51111111111111111-1-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-11-1-1-11-1-111-1-1
χ61111111111111111-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-111-1-1-1-1
χ71111111111111111-1-1-1111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11-1-1-1111111
χ922222222222-12-122222-12-1-1-1-1-1-1200-1-122-1-1-1-1-1-122000000020-1000-1-1-10000
χ1022222222222-12-122222-12-1-1-1-1-1-1200-1-122-1-1-1-1-1-1-2-20000000-2010001110000
χ1122222222222-12-122-2-2-2-12-1-1-1-1-1-1200-1-1-2-2111111220000000-20-1000-1110000
χ1222222222222-12-122-2-2-2-12-1-1-1-1-1-1200-1-1-2-2111111-2-200000002010001-1-10000
χ132222222222-12-12-1-1222-1-12-122-1-1-122-1-1-1-122-1-1-1-100200-1-1-1-100020000000-1-1
χ142222222222-12-12-1-1222-1-12-122-1-1-1-2-2-1-1-1-122-1-1-1-100-2001111000-2000000011
χ152222222222-12-12-1-1-2-2-2-1-12-122-1-1-122-1-111-2-2111100200-1-1-1-1000-2000000011
χ162222222222-12-12-1-1-2-2-2-1-12-122-1-1-1-2-2-1-111-2-2111100-200111100020000000-1-1
χ172222-2-222-2-22222-2-20002222-2-2-2-2-2002-2000000000002i−2i00000000000002i−2i00
χ182222-2-222-2-22222-2-20002222-2-2-2-2-2002-200000000000−2i2i0000000000000−2i2i00
χ1922-222-22-22-22222220002-2-22-2222-200-2-2000000002-20000000002000-2000000
χ2022-222-22-22-22222220002-2-22-2222-200-2-200000000-22000000000-20002000000
χ2122-222-22-22-22-12-122000-1-21-11-1-1-1-2001100−i3i3−i3−i3i3i32-2000000000-10001−i3i30000
χ2222-222-22-22-22-12-122000-1-21-11-1-1-1-2001100−i3i3−i3−i3i3i3-220000000001000-1i3−i30000
χ2322-222-22-22-22-12-122000-1-21-11-1-1-1-2001100i3−i3i3i3−i3−i32-2000000000-10001i3−i30000
χ2422-222-22-22-22-12-122000-1-21-11-1-1-1-2001100i3−i3i3i3−i3−i3-220000000001000-1−i3i30000
χ2522-22-222-2-222222-2-20002-2-222-2-2-2222-220000000000-20022-2-20000000000000
χ2622-22-222-2-222222-2-20002-2-222-2-2-22-2-2-220000000000200-2-2220000000000000
χ2722-22-222-2-22-12-1211000-11-2-12-211-1221-13−3003−33−300-200-1-111000000000003−3
χ2822-22-222-2-22-12-1211000-11-2-12-211-1221-1−3300−33−3300-200-1-11100000000000−33
χ2922-22-222-2-22-12-1211000-11-2-12-211-1-2-21-13−3003−33−30020011-1-100000000000−33
χ3022-22-222-2-22-12-1211000-11-2-12-211-1-2-21-1−3300−33−330020011-1-1000000000003−3
χ314444444444-2-2-2-2-2-24441-2-21-2-211-20011-2-2-2-211110000000000000000000000
χ324444444444-2-2-2-2-2-2-4-4-41-2-21-2-211-200112222-1-1-1-10000000000000000000000
χ334444-4-444-4-44-24-2-4-4000-24-2-22222-400-22000000000000000000000000000000
χ344444-4-444-4-4-24-2422000-2-24-2-4-422200-22000000000000000000000000000000
χ354444-4-444-4-4-2-2-2-2220001-2-2122-1-12001-100003i−3i−3i3i0000000000000000000000
χ364444-4-444-4-4-2-2-2-2220001-2-2122-1-12001-10000−3i3i3i−3i0000000000000000000000
χ3744-444-44-44-4-24-24-2-2000-22-4-2-44-2-220022000000000000000000000000000000
χ3844-444-44-44-4-2-2-2-2-2-200012212-211200-1-100−2i32i3i3i3−i3−i30000000000000000000000
χ3944-444-44-44-4-2-2-2-2-2-200012212-211200-1-1002i3−2i3−i3−i3i3i30000000000000000000000
χ4044-44-444-4-444-24-2-4-4000-2-42-2-22224002-2000000000000000000000000000000
χ4144-44-444-4-44-2-2-2-2220001221-22-1-1-200-1123−2300−33−330000000000000000000000
χ4244-44-444-4-44-2-2-2-2220001221-22-1-1-200-11−2323003−33−30000000000000000000000
χ434-40400-400044-4-400000400-40000022−2200000000000000022−22000000000000000
χ444-40400-400044-4-400000400-400000−2222000000000000000−2222000000000000000
χ454-40400-4000-242-423−23000-20020023−23022−22000000000000000−226−60000000000000
χ464-40400-4000-242-423−23000-20020023−230−22220000000000000002−2−660000000000000
χ474-40400-4000-242-4−2323000-200200−2323022−22000000000000000−22−660000000000000
χ484-40400-4000-242-4−2323000-200200−23230−22220000000000000002−26−60000000000000
χ49666-366-3-3-3-30000006-3-30000000000000000000000002200000200-1-1000-1-100
χ50666-366-3-3-3-30000006-3-3000000000000000000000000-2-200000-200110001100
χ51666-366-3-3-3-3000000-6330000000000000000000000002200000-20011000-1-100
χ52666-366-3-3-3-3000000-633000000000000000000000000-2-200000200-1-10001100
χ53666-3-6-6-3-333000000033−330000000000000000000000002i−2i00000000−i3i3000−ii00
χ54666-3-6-6-3-333000000033−33000000000000000000000000−2i2i00000000i3−i3000i−i00
χ55666-3-6-6-3-3330000000−33330000000000000000000000002i−2i00000000i3−i3000−ii00
χ56666-3-6-6-3-3330000000−3333000000000000000000000000−2i2i00000000−i3i3000i−i00
χ578-80800-80008-4-8400000-4004000000000000000000000000000000000000000
χ588-80800-8000-4-44443−43000200-200−232300000000000000000000000000000000000
χ598-80800-8000-4-444−4343000200-20023−2300000000000000000000000000000000000
χ601212-12-612-12-66-660000000000000000000000000000000000000000000000000000
χ611212-12-6-1212-666-60000000000000000000000000000000000000000000000000000
χ6224-240-1200120000000000000000000000000000000000000000000000000000000

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