Finite Group Databasebeta

← Group #13180652

Character table — Group #13180652

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size114444688991616161616161616242454545454547272108108114444688991616161616161616242454545454547272108108
order12336643644333366661212244441212882266664664466666666121224444121288
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-111-1-11111111111111111111111-1-1-1-111-1-1
χ3111111111-1-11111111111-1ii−i−i-1-1i−i111111111-1-11111111111-1ii−i−i-1-1i−i
χ4111111111-1-11111111111-1−i−iii-1-1−ii111111111-1-11111111111-1−i−iii-1-1−ii
χ52222222-1-122-1-1-1-1-1-1-1-12220000-1-1002222222-1-122-1-1-1-1-1-1-1-12220000-1-100
χ62222222-1-1-2-2-1-1-1-1-1-1-1-122-2000011002222222-1-1-2-2-1-1-1-1-1-1-1-122-200001100
χ72-222-2-20-112i−2i-1-1-1-111110001+i−1−i1−i−1+ii−i002-222-2-20-112i−2i-1-1-1-111110001+i−1−i1−i−1+ii−i00
χ82-222-2-20-112i−2i-1-1-1-11111000−1−i1+i−1+i1−ii−i002-222-2-20-112i−2i-1-1-1-11111000−1−i1+i−1+i1−ii−i00
χ92-222-2-20-11−2i2i-1-1-1-111110001−i−1+i1+i−1−i−ii002-222-2-20-11−2i2i-1-1-1-111110001−i−1+i1+i−1−i−ii00
χ102-222-2-20-11−2i2i-1-1-1-11111000−1+i1−i−1−i1+i−ii002-222-2-20-11−2i2i-1-1-1-11111000−1+i1−i−1−i1+i−ii00
χ11333333-1003300000000-1-1-1111100-1-1333333-1003300000000-1-1-1111100-1-1
χ12333333-1003300000000-1-1-1-1-1-1-10011333333-1003300000000-1-1-1-1-1-1-10011
χ13333333-100-3-300000000-1-11ii−i−i00−ii333333-100-3-300000000-1-11ii−i−i00−ii
χ14333333-100-3-300000000-1-11−i−iii00i−i333333-100-3-300000000-1-11−i−iii00i−i
χ15441-21-24440011-2-211-2-21-2000000000441-21-24440011-2-211-2-21-2000000000
χ16441-21-24-2-200−1−3i32−1+3i3211−1−3i32−1+3i32111-2000000000441-21-24-2-200−1−3i32−1+3i3211−1−3i32−1+3i32111-2000000000
χ17441-21-24-2-200−1+3i32−1−3i3211−1+3i32−1−3i32111-2000000000441-21-24-2-200−1+3i32−1−3i3211−1+3i32−1−3i32111-2000000000
χ1844-21-2144400-2-211-2-211-2100000000044-21-2144400-2-211-2-211-21000000000
χ1944-21-214-2-20011−1−3i32−1+3i3211−1−3i32−1+3i32-2100000000044-21-214-2-20011−1−3i32−1+3i3211−1−3i32−1+3i32-21000000000
χ2044-21-214-2-20011−1+3i32−1−3i3211−1+3i32−1−3i32-2100000000044-21-214-2-20011−1+3i32−1−3i3211−1+3i32−1−3i32-21000000000
χ214-444-4-401-14i−4i1111-1-1-1-10000000−ii004-444-4-401-14i−4i1111-1-1-1-10000000−ii00
χ224-444-4-401-1−4i4i1111-1-1-1-10000000i−i004-444-4-401-1−4i4i1111-1-1-1-10000000i−i00
χ238-82-4-2402-2001−3i321+3i32-1-1−1+3i32−1−3i3211000000000008-82-4-2402-2001−3i321+3i32-1-1−1+3i32−1−3i321100000000000
χ248-82-4-2402-2001+3i321−3i32-1-1−1−3i32−1+3i3211000000000008-82-4-2402-2001+3i321−3i32-1-1−1−3i32−1+3i321100000000000
χ258-82-4-240-4400-1-12211-2-2000000000008-82-4-240-4400-1-12211-2-200000000000
χ268-8-424-202-200-1-11−3i321+3i3211−1+3i32−1−3i32000000000008-8-424-202-200-1-11−3i321+3i3211−1+3i32−1−3i3200000000000
χ278-8-424-202-200-1-11+3i321−3i3211−1−3i32−1+3i32000000000008-8-424-202-200-1-11+3i321−3i3211−1−3i32−1+3i3200000000000
χ288-8-424-20-440022-1-1-2-211000000000008-8-424-20-440022-1-1-2-21100000000000
χ2912123-63-6-4000000000000-1200000000012123-63-6-4000000000000-12000000000
χ301212-63-63-40000000000002-10000000001212-63-63-40000000000002-1000000000
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ321111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ33111111111-1-11111111111-1ii−i−i-1-1i−i-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11−i−iii11−ii
χ34111111111-1-11111111111-1−i−iii-1-1−ii-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11ii−i−i11i−i
χ352222222-1-122-1-1-1-1-1-1-1-12220000-1-100-2-2-2-2-2-2-211-2-211111111-2-2-200001100
χ362222222-1-1-2-2-1-1-1-1-1-1-1-122-200001100-2-2-2-2-2-2-2112211111111-2-220000-1-100
χ372-222-2-20-112i−2i-1-1-1-111110001+i−1−i1−i−1+ii−i00-22-2-22201-1−2i2i1111-1-1-1-1000−1−i1+i−1+i1−i−ii00
χ382-222-2-20-112i−2i-1-1-1-11111000−1−i1+i−1+i1−ii−i00-22-2-22201-1−2i2i1111-1-1-1-10001+i−1−i1−i−1+i−ii00
χ392-222-2-20-11−2i2i-1-1-1-111110001−i−1+i1+i−1−i−ii00-22-2-22201-12i−2i1111-1-1-1-1000−1+i1−i−1−i1+ii−i00
χ402-222-2-20-11−2i2i-1-1-1-11111000−1+i1−i−1−i1+i−ii00-22-2-22201-12i−2i1111-1-1-1-10001−i−1+i1+i−1−ii−i00
χ41333333-1003300000000-1-1-1111100-1-1-3-3-3-3-3-3100-3-300000000111-1-1-1-10011
χ42333333-1003300000000-1-1-1-1-1-1-10011-3-3-3-3-3-3100-3-300000000111111100-1-1
χ43333333-100-3-300000000-1-11ii−i−i00−ii-3-3-3-3-3-3100330000000011-1−i−iii00i−i
χ44333333-100-3-300000000-1-11−i−iii00i−i-3-3-3-3-3-3100330000000011-1ii−i−i00−ii
χ45441-21-24440011-2-211-2-21-2000000000-4-4-12-12-4-4-400-1-122-1-122-12000000000
χ46441-21-24-2-200−1−3i32−1+3i3211−1−3i32−1+3i32111-2000000000-4-4-12-12-422001+3i321−3i32-1-11+3i321−3i32-1-1-12000000000
χ47441-21-24-2-200−1+3i32−1−3i3211−1+3i32−1−3i32111-2000000000-4-4-12-12-422001−3i321+3i32-1-11−3i321+3i32-1-1-12000000000
χ4844-21-2144400-2-211-2-211-21000000000-4-42-12-1-4-4-40022-1-122-1-12-1000000000
χ4944-21-214-2-20011−1−3i32−1+3i3211−1−3i32−1+3i32-21000000000-4-42-12-1-42200-1-11+3i321−3i32-1-11+3i321−3i322-1000000000
χ5044-21-214-2-20011−1+3i32−1−3i3211−1+3i32−1−3i32-21000000000-4-42-12-1-42200-1-11−3i321+3i32-1-11−3i321+3i322-1000000000
χ514-444-4-401-14i−4i1111-1-1-1-10000000−ii00-44-4-4440-11−4i4i-1-1-1-111110000000i−i00
χ524-444-4-401-1−4i4i1111-1-1-1-10000000i−i00-44-4-4440-114i−4i-1-1-1-111110000000−ii00
χ538-82-4-2402-2001−3i321+3i32-1-1−1+3i32−1−3i321100000000000-88-242-40-2200−1+3i32−1−3i32111−3i321+3i32-1-100000000000
χ548-82-4-2402-2001+3i321−3i32-1-1−1−3i32−1+3i321100000000000-88-242-40-2200−1−3i32−1+3i32111+3i321−3i32-1-100000000000
χ558-82-4-240-4400-1-12211-2-200000000000-88-242-404-40011-2-2-1-12200000000000
χ568-8-424-202-200-1-11−3i321+3i3211−1+3i32−1−3i3200000000000-884-2-420-220011−1+3i32−1−3i32-1-11−3i321+3i3200000000000
χ578-8-424-202-200-1-11+3i321−3i3211−1−3i32−1+3i3200000000000-884-2-420-220011−1−3i32−1+3i32-1-11+3i321−3i3200000000000
χ588-8-424-20-440022-1-1-2-21100000000000-884-2-4204-400-2-21122-1-100000000000
χ5912123-63-6-4000000000000-12000000000-12-12-36-3640000000000001-2000000000
χ601212-63-63-40000000000002-1000000000-12-126-36-34000000000000-21000000000

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