Finite Group Databasebeta

← Group #11790543

Character table — Group #11790543

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888816161616181818181818181824242424242424242424242424242424363636363636363648484848
order1244243366881212121266121224242424224488888888888824242424242424244444888824242424
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111
χ51111111111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ61111111111-1-111111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1
χ71111111111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1
χ81111111111-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ911-1-1-111111i−i-1-1-1-1-1-111ii−i−i1-1-1111-1-1i−ii−i1-11-111-1-111-1-1ii−i−ii−i1-1i−ii−i
χ1011-1-1-111111i−i-1-1-1-1-1-111ii−i−i1-1-1111-1-1−ii−ii-11-11-1-111-1-111ii−i−ii−i1-1−ii−ii
χ1111-1-1-111111i−i-1-1-1-1-1-111ii−i−i1-1-11-1-111i−i−ii1-1-1111-1-1-1-111−i−iiii−i-11i−i−ii
χ1211-1-1-111111i−i-1-1-1-1-1-111ii−i−i1-1-11-1-111−iii−i-111-1-1-11111-1-1−i−iiii−i-11−iii−i
χ1311-1-1-111111−ii-1-1-1-1-1-111−i−iii1-1-1111-1-1i−ii−i-11-11-1-111-1-111−i−iii−ii1-1i−ii−i
χ1411-1-1-111111−ii-1-1-1-1-1-111−i−iii1-1-1111-1-1−ii−ii1-11-111-1-111-1-1−i−iii−ii1-1−ii−ii
χ1511-1-1-111111−ii-1-1-1-1-1-111−i−iii1-1-11-1-111i−i−ii-111-1-1-11111-1-1ii−i−i−ii-11i−i−ii
χ1611-1-1-111111−ii-1-1-1-1-1-111−i−iii1-1-11-1-111−iii−i1-1-1111-1-1-1-111ii−i−i−ii-11−iii−i
χ17222222222222222222222222-2-2-2-2000000000000000000000000-2-2000000
χ182222222222-2-222222222-2-2-2-2-2-2-2-200000000000000000000000022000000
χ192222-2-22222002222-2-2-2-200002-22-2000000000000000000002i−2i2i−2i00000000
χ202222-2-22222002222-2-2-2-200002-22-200000000000000000000−2i2i−2i2i00000000
χ212222-2-22222002222-2-2-2-20000-22-2222220000000000000000000000-2-20000
χ222222-2-22222002222-2-2-2-20000-22-22-2-2-2-20000000000000000000000220000
χ2322-2-22-2222200-2-2-2-222-2-2000022-2-2000000000000000000002-2-2200000000
χ2422-2-22-2222200-2-2-2-222-2-2000022-2-200000000000000000000-222-200000000
χ2522-2-22-2222200-2-2-2-222-2-20000-2-22222-2-20000000000000000000000-220000
χ2622-2-22-2222200-2-2-2-222-2-20000-2-222-2-22200000000000000000000002-20000
χ2722-2-2-2222222i−2i-2-2-2-2-2-2222i2i−2i−2i-222-2000000000000000000000000−2i2i000000
χ2822-2-2-222222−2i2i-2-2-2-2-2-222−2i−2i2i2i-222-20000000000000000000000002i−2i000000
χ294444441-21-24411-2-21-21-21-21-200000000002200220000-1-1-1-10000000000-1-1
χ304444441-21-24411-2-21-21-21-21-20000000000-2-200-2-200001111000000000011
χ314444441-21-2-4-411-2-21-21-2-12-1200000000002200-2-2000011110000000000-1-1
χ324444441-21-2-4-411-2-21-21-2-12-120000000000-2-200220000-1-1-1-1000000000011
χ33444444-21-2144-2-211-21-21-21-210000000022002200-1-1-1-1000000000000-1-100
χ34444444-21-2144-2-211-21-21-21-2100000000-2-200-2-20011110000000000001100
χ35444444-21-21-4-4-2-211-21-212-12-1000000002200-2-2001111000000000000-1-100
χ36444444-21-21-4-4-2-211-21-212-12-100000000-2-2002200-1-1-1-10000000000001100
χ3744-4-4-441-21-24i−4i-1-122-121-2i−2i−i2i00000000002i−2i002-20000-1-1110000000000−ii
χ3844-4-4-441-21-24i−4i-1-122-121-2i−2i−i2i0000000000−2i2i00-22000011-1-10000000000i−i
χ3944-4-4-441-21-2−4i4i-1-122-121-2−i2ii−2i00000000002i−2i00-22000011-1-10000000000−ii
χ4044-4-4-441-21-2−4i4i-1-122-121-2−i2ii−2i0000000000−2i2i002-20000-1-1110000000000i−i
χ4144-4-4-44-21-214i−4i22-1-12-1-21−2ii2i−i000000002i−2i002-200-1-111000000000000−ii00
χ4244-4-4-44-21-214i−4i22-1-12-1-21−2ii2i−i00000000−2i2i00-220011-1-1000000000000i−i00
χ4344-4-4-44-21-21−4i4i22-1-12-1-212i−i−2ii000000002i−2i00-220011-1-1000000000000−ii00
χ4444-4-4-44-21-21−4i4i22-1-12-1-212i−i−2ii00000000−2i2i002-200-1-111000000000000i−i00
χ454-44i−4i0044-4-4004i−4i4i−4i00000000000022−22−2i22i20000000000000000000000000000
χ464-44i−4i0044-4-4004i−4i4i−4i000000000000−22222i2−2i20000000000000000000000000000
χ474-4−4i4i0044-4-400−4i4i−4i4i00000000000022−222i2−2i20000000000000000000000000000
χ484-4−4i4i0044-4-400−4i4i−4i4i000000000000−2222−2i22i20000000000000000000000000000
χ498888-8-82-42-40022-4-4-24-240000000000000000000000000000000000000000
χ508888-8-8-42-4200-4-4224-24-20000000000000000000000000000000000000000
χ5188-8-88-82-42-400-2-2442-4-240000000000000000000000000000000000000000
χ5288-8-88-8-42-420044-2-2-424-20000000000000000000000000000000000000000
χ538-88i−8i002-4-24002i−2i−4i4i0000000000000000000000000000i6−i66−6000000000000
χ548-88i−8i002-4-24002i−2i−4i4i0000000000000000000000000000−i6i6−66000000000000
χ558-88i−8i00-424-200−4i4i2i−2i000000000000000000000000i6−i66−60000000000000000
χ568-88i−8i00-424-200−4i4i2i−2i000000000000000000000000−i6i6−660000000000000000
χ578-8−8i8i002-4-2400−2i2i4i−4i0000000000000000000000000000i6−i6−66000000000000
χ588-8−8i8i002-4-2400−2i2i4i−4i0000000000000000000000000000−i6i66−6000000000000
χ598-8−8i8i00-424-2004i−4i−2i2i000000000000000000000000i6−i6−660000000000000000
χ608-8−8i8i00-424-2004i−4i−2i2i000000000000000000000000−i6i66−60000000000000000

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