Finite Group Databasebeta

← Group #13140616

Character table — Group #13140616

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1122222224466668881212121212121212121218182424242424242424242436363636363636363672727272727272727272727272
order12234466612123366266366666121212128866666666121224888242424244688121212242424242424
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11-1-111111-1-1-111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1
χ41111111111111111111111111111-1-11111111111-1-1-111-1-1-1-1-1-1-11-1-1-1-1-11111
χ5111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-111111111111-11-1-1-1-11-1-111-1-1
χ6111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1-111-1-1-111-1-111
χ7111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-11111-1-1-1-111
χ8111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11-11-111-11111-1-1
χ9222222222222-12-1222-12-1-1-1-1-122-10022-1-1-1-1-1-1-1-12200000000-12000-1-1-10000
χ10222222222222-12-1222-12-1-1-1-1-122-10022-1-1-1-1-1-1-1-1-2-2000000001-20001110000
χ11222222222222-12-1-2-2-2-12-1-1-1-1-122-100-2-2111111-1-12200000000-1-2000-1110000
χ12222222222222-12-1-2-2-2-12-1-1-1-1-122-100-2-2111111-1-1-2-200000000120001-1-10000
χ1322222222222-12-12222-1-12-1-1-12-1-1200-1-122-1-1-1-1-1-1000220000000200000-1-1-1-1
χ1422222222222-12-12222-1-12-1-1-12-1-1200-1-122-1-1-1-1-1-1000-2-20000000-2000001111
χ1522222222222-12-12-2-2-2-1-12-1-1-12-1-120011-2-21111-1-1000220000000-200000-1-111
χ1622222222222-12-12-2-2-2-1-12-1-1-12-1-120011-2-21111-1-1000-2-2000000020000011-1-1
χ172222-2-2222-2-22222000222222-2-2-2-20000000000-2-20002i−2i00000000000002i−2i00
χ182222-2-2222-2-22222000222222-2-2-2-20000000000-2-2000−2i2i0000000000000−2i2i00
χ192222-2-2222-2-2-12-12000-1-12-1-1-1-211-200−i3i300−i3−i3i3i3110002i−2i0000000000000−ii3−3
χ202222-2-2222-2-2-12-12000-1-12-1-1-1-211-200−i3i300−i3−i3i3i311000−2i2i0000000000000i−i−33
χ212222-2-2222-2-2-12-12000-1-12-1-1-1-211-200i3−i300i3i3−i3−i3110002i−2i0000000000000−ii−33
χ222222-2-2222-2-2-12-12000-1-12-1-1-1-211-200i3−i300i3i3−i3−i311000−2i2i0000000000000i−i3−3
χ2322-222-2-2-222-222220002-2-2-2-22-22-2200000000002-22-20000000020000-2000000
χ2422-222-2-2-222-222220002-2-2-2-22-22-2200000000002-2-2200000000-200002000000
χ2522-222-2-2-222-22-12-1000-1-2111-112-2-10000−i3i3−i3i3−i3i3-112-200000000-100001−i3i30000
χ2622-222-2-2-222-22-12-1000-1-2111-112-2-10000−i3i3−i3i3−i3i3-11-220000000010000-1i3−i30000
χ2722-222-2-2-222-22-12-1000-1-2111-112-2-10000i3−i3i3−i3i3−i3-112-200000000-100001i3−i30000
χ2822-222-2-2-222-22-12-1000-1-2111-112-2-10000i3−i3i3−i3i3−i3-11-220000000010000-1−i3i30000
χ2922-22-22-2-22-2222220002-2-2-2-222-22-22200000000-2200-20022-2-20000000000000
χ3022-22-22-2-22-2222220002-2-2-2-222-22-2-2-200000000-2200200-2-2220000000000000
χ3144444444444-2-2-2-24441-2-2111-2-2-2-200-2-2-2-21111110000000000000000000000
χ3244444444444-2-2-2-2-4-4-41-2-2111-2-2-2-2002222-1-1-1-1110000000000000000000000
χ334444-4-4444-4-44-24-2000-24-2-2-2-22-4-420000000000220000000000000000000000
χ344444-4-4444-4-4-2-2-2-20001-2-2111222200−2i32i300i3i3−i3−i3-1-10000000000000000000000
χ354444-4-4444-4-4-2-2-2-20001-2-21112222002i3−2i300−i3−i3i3i3-1-10000000000000000000000
χ3644-444-4-4-444-4-24-24000-22-422-2-4-2240000000000-220000000000000000000000
χ3744-444-4-4-444-4-2-2-2-2000122-1-112-22-20000−2i32i3i3−i3i3−i31-10000000000000000000000
χ3844-444-4-4-444-4-2-2-2-2000122-1-112-22-200002i3−2i3−i3i3−i3i31-10000000000000000000000
χ3944-44-44-4-44-444-24-2000-2-4222-2-2-44200000000002-20000000000000000000000
χ4044-44-44-4-44-44-24-24000-22-422-242-2-400000000002-20000000000000000000000
χ4144-44-44-4-44-44-2-2-2-2000122-1-11-22-220000003-3-33-110000000000000000000000
χ4244-44-44-4-44-44-2-2-2-2000122-1-11-22-22000000-333-3-110000000000000000000000
χ434-4040000-40044-4-400040000-40000−2i22i2000000000000000−2i22i2000000000000000
χ444-4040000-40044-4-400040000-400002i2−2i20000000000000002i2−2i2000000000000000
χ45666-366-3-3-3-3-300006-3-3000000000022000000000000200-1-1-1-12000-1-10000000
χ46666-366-3-3-3-3-300006-3-30000000000-2-2000000000000-2001111-2000110000000
χ47666-366-3-3-3-3-30000-633000000000022000000000000200-1-1-1-1-2000110000000
χ48666-366-3-3-3-3-30000-6330000000000-2-2000000000000-20011112000-1-10000000
χ4966-6-3-6633-33-300000−3i33i3000000000022000000000000-200-1-1110000−i3i30000000
χ5066-6-3-6633-33-300000−3i33i30000000000-2-200000000000020011-1-10000i3−i30000000
χ5166-6-3-6633-33-3000003i3−3i3000000000022000000000000-200-1-1110000i3−i30000000
χ5266-6-3-6633-33-3000003i3−3i30000000000-2-200000000000020011-1-10000−i3i30000000
χ538-8080000-8008-4-84000-40000400000000000000000000000000000000000000
χ548-8080000-800-484-8000-40000400000000000000000000000000000000000000
χ558-8080000-800-4-4440002006-6-200000000000000000000000000000000000000
χ568-8080000-800-4-444000200-66-200000000000000000000000000000000000000
χ57121212-6-12-12-6-6-666000000000000000000000000000000000000000000000000000
χ581212-12-612-1266-6-66000000000000000000000000000000000000000000000000000
χ5912-120-600−6i36i360000000000000000000−2i22i2000000000000000i2−i26−60000000000000
χ6012-120-600−6i36i3600000000000000000002i2−2i2000000000000000−i2i2−660000000000000
χ6112-120-6006i3−6i360000000000000000000−2i22i2000000000000000i2−i2−660000000000000
χ6212-120-6006i3−6i3600000000000000000002i2−2i2000000000000000−i2i26−60000000000000

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