Finite Group Databasebeta

← Group #11790473

Character table — Group #11790473

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888816161616181818181818181824242424242424242424242424242424363636363636363648484848
order12224433446666661212121212121212224488884444888824242424242424244488888812121212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1
χ511111111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ611111111-1-11111111111-1-1-1-111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1
χ711111111-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
χ811111111-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ911-1-1-1111i−i-111-1-1-1-1-111i−ii−i1-11-111-1-1i−ii−i1-11-111-1-111-1-1i−i1-1ii−i−ii−ii−i
χ1011-1-1-1111i−i-111-1-1-1-1-111i−ii−i1-11-111-1-1−ii−ii-11-11-1-111-1-111i−i1-1ii−i−i−ii−ii
χ1111-1-1-1111i−i-111-1-1-1-1-111i−ii−i1-11-1-1-111i−i−ii1-1-1111-1-1-1-111i−i-11−i−iii−iii−i
χ1211-1-1-1111i−i-111-1-1-1-1-111i−ii−i1-11-1-1-111−iii−i-111-1-1-11111-1-1i−i-11−i−iiii−i−ii
χ1311-1-1-1111−ii-111-1-1-1-1-111−ii−ii1-11-111-1-1i−ii−i-11-11-1-111-1-111−ii1-1−i−iiii−ii−i
χ1411-1-1-1111−ii-111-1-1-1-1-111−ii−ii1-11-111-1-1−ii−ii1-11-111-1-111-1-1−ii1-1−i−iii−ii−ii
χ1511-1-1-1111−ii-111-1-1-1-1-111−ii−ii1-11-1-1-111i−i−ii-111-1-1-11111-1-1−ii-11ii−i−i−iii−i
χ1611-1-1-1111−ii-111-1-1-1-1-111−ii−ii1-11-1-1-111−iii−i1-1-1111-1-1-1-111−ii-11ii−i−ii−i−ii
χ17222222222222222222222222-2-2-2-200000000000000000000-2-20000000000
χ1822222222-2-22222222222-2-2-2-2-2-2-2-200000000000000000000220000000000
χ192222-2-22200222222-2-2-2-2000022-2-20000000000000000000000002i−2i2i−2i0000
χ202222-2-22200222222-2-2-2-2000022-2-2000000000000000000000000−2i2i−2i2i0000
χ212222-2-22200222222-2-2-2-20000-2-2222222000000000000000000-2-200000000
χ222222-2-22200222222-2-2-2-20000-2-222-2-2-2-20000000000000000002200000000
χ2322-2-22-22200-222-2-2-222-2-200002-2-220000000000000000000000002-2-220000
χ2422-2-22-22200-222-2-2-222-2-200002-2-22000000000000000000000000-222-20000
χ2522-2-22-22200-222-2-2-222-2-20000-222-222-2-2000000000000000000-2200000000
χ2622-2-22-22200-222-2-2-222-2-20000-222-2-2-2220000000000000000002-200000000
χ2722-2-2-22222i−2i-222-2-2-2-2-2222i−2i2i−2i-22-2200000000000000000000−2i2i0000000000
χ2822-2-2-2222−2i2i-222-2-2-2-2-222−2i2i−2i2i-22-22000000000000000000002i−2i0000000000
χ294444441-24411-2-2-211-21-2-2-2110000000022002200-1-1-1-100000000000000-1-1
χ304444441-24411-2-2-211-21-2-2-21100000000-2-200-2-20011110000000000000011
χ314444441-2-4-411-2-2-211-21-222-1-1000000002200-2-200111100000000000000-1-1
χ324444441-2-4-411-2-2-211-21-222-1-100000000-2-2002200-1-1-1-10000000000000011
χ33444444-2144-2-2111-2-21-2111-2-200000000002200220000-1-1-1-100000000-1-100
χ34444444-2144-2-2111-2-21-2111-2-20000000000-2-200-2-200001111000000001100
χ35444444-21-4-4-2-2111-2-21-21-1-12200000000002200-2-20000111100000000-1-100
χ36444444-21-4-4-2-2111-2-21-21-1-1220000000000-2-200220000-1-1-1-1000000001100
χ3744-4-4-441-24i−4i-11-222-1-121-2−2i2ii−i000000002i−2i002-200-1-11100000000000000−ii
χ3844-4-4-441-24i−4i-11-222-1-121-2−2i2ii−i00000000−2i2i00-220011-1-100000000000000i−i
χ3944-4-4-441-2−4i4i-11-222-1-121-22i−2i−ii000000002i−2i00-220011-1-100000000000000−ii
χ4044-4-4-441-2−4i4i-11-222-1-121-22i−2i−ii00000000−2i2i002-200-1-11100000000000000i−i
χ4144-4-4-44-214i−4i2-21-1-122-1-21i−i−2i2i00000000002i−2i002-20000-1-11100000000−ii00
χ4244-4-4-44-214i−4i2-21-1-122-1-21i−i−2i2i0000000000−2i2i00-22000011-1-100000000i−i00
χ4344-4-4-44-21−4i4i2-21-1-122-1-21−ii2i−2i00000000002i−2i00-22000011-1-100000000−ii00
χ4444-4-4-44-21−4i4i2-21-1-122-1-21−ii2i−2i0000000000−2i2i002-20000-1-11100000000i−i00
χ454-44-4004400-4-4-44-44000000000000−2i22i2−2i22i20000000000000000000000000000
χ464-44-4004400-4-4-44-440000000000002i2−2i22i2−2i20000000000000000000000000000
χ474-4-440044004-4-4-44-4000000000000−2i22i22i2−2i20000000000000000000000000000
χ484-4-440044004-4-4-44-40000000000002i2−2i2−2i22i20000000000000000000000000000
χ498888-8-82-40022-4-4-42-24-240000000000000000000000000000000000000000
χ508888-8-8-4200-4-4222-44-24-20000000000000000000000000000000000000000
χ5188-8-88-82-400-22-444-22-4-240000000000000000000000000000000000000000
χ5288-8-88-8-42004-42-2-24-424-20000000000000000000000000000000000000000
χ538-88-8002-400-2-24-442000000000000000000000000i6−i6i6−i60000000000000000
χ548-88-8002-400-2-24-442000000000000000000000000−i6i6−i6i60000000000000000
χ558-88-800-420044-22-2-400000000000000000000000000006−66−6000000000000
χ568-88-800-420044-22-2-40000000000000000000000000000−66−66000000000000
χ578-8-88002-4002-244-4-2000000000000000000000000i6−i6−i6i60000000000000000
χ588-8-88002-4002-244-4-2000000000000000000000000−i6i6i6−i60000000000000000
χ598-8-8800-4200-44-2-22400000000000000000000000000006−6−66000000000000
χ608-8-8800-4200-44-2-2240000000000000000000000000000−666−6000000000000

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