Finite Group Databasebeta

← Group #11789688

Character table — Group #11789688

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888816161616181818181818181824242424242424242424242424242424363636363636363648484848
order122244334466666612121212121212122244888822448888242424242424242444888888661212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
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
χ711111111-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ811111111-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ911-1-11-111i−i-1-111-1-11-11-1i−ii−i1-11-1ii−i−i1-1i−ii−i1-1ii−i−i11-1-1i−ii−i11-1-11-1i−i
χ1011-1-11-111i−i-1-111-1-11-11-1i−ii−i1-11-1ii−i−i-11−ii−ii-11−i−iii-1-111i−ii−i11-1-1-11−ii
χ1111-1-11-111i−i-1-111-1-11-11-1i−ii−i1-11-1−i−iii1-1−iii−i-11ii−i−i-1-111i−i−ii-1-1111-1−ii
χ1211-1-11-111i−i-1-111-1-11-11-1i−ii−i1-11-1−i−iii-11i−i−ii1-1−i−iii11-1-1i−i−ii-1-111-11i−i
χ1311-1-11-111−ii-1-111-1-11-11-1−ii−ii1-11-1ii−i−i1-1i−i−ii-11−i−iii-1-111−iii−i-1-1111-1i−i
χ1411-1-11-111−ii-1-111-1-11-11-1−ii−ii1-11-1ii−i−i-11−iii−i1-1ii−i−i11-1-1−iii−i-1-111-11−ii
χ1511-1-11-111−ii-1-111-1-11-11-1−ii−ii1-11-1−i−iii1-1−ii−ii1-1−i−iii11-1-1−ii−ii11-1-11-1−ii
χ1611-1-11-111−ii-1-111-1-11-11-1−ii−ii1-11-1−i−iii-11i−ii−i-11ii−i−i-1-111−ii−ii11-1-1-11i−i
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
χ2322-2-22-2222i−2i-2-222-2-22-22-22i−2i2i−2i-22-2200000000000000000000−2i2i0000000000
χ2422-2-22-222−2i2i-2-222-2-22-22-2−2i2i−2i2i-22-22000000000000000000002i−2i0000000000
χ2522-2-2-222200-2-222-2-2-22-2200002-2-220000000000000000000000002i−2i−2i2i0000
χ2622-2-2-222200-2-222-2-2-22-2200002-2-22000000000000000000000000−2i2i2i−2i0000
χ2722-2-2-222200-2-222-2-2-22-220000-222-22i2i−2i−2i000000000000000000−2i2i00000000
χ2822-2-2-222200-2-222-2-2-22-220000-222-2−2i−2i2i2i0000000000000000002i−2i00000000
χ294444441-2441-21-2-21-211-2-2-21100000000002200220000-1-1-1-10000000000-1-1
χ304444441-2441-21-2-21-211-2-2-2110000000000-2-200-2-200001111000000000011
χ314444441-2-4-41-21-2-21-211-222-1-100000000002200-2-2000011110000000000-1-1
χ324444441-2-4-41-21-2-21-211-222-1-10000000000-2-200220000-1-1-1-1000000000011
χ33444444-2144-21-211-21-2-2111-2-20000000022002200-1-1-1-1000000000000-1-100
χ34444444-2144-21-211-21-2-2111-2-200000000-2-200-2-20011110000000000001100
χ35444444-21-4-4-21-211-21-2-21-1-122000000002200-2-2001111000000000000-1-100
χ36444444-21-4-4-21-211-21-2-21-1-12200000000-2-2002200-1-1-1-10000000000001100
χ3744-4-44-41-24i−4i-121-22-1-2-112−2i2ii−i00000000002i−2i002-20000-1-1110000000000−ii
χ3844-4-44-41-24i−4i-121-22-1-2-112−2i2ii−i0000000000−2i2i00-22000011-1-10000000000i−i
χ3944-4-44-41-2−4i4i-121-22-1-2-1122i−2i−ii00000000002i−2i00-22000011-1-10000000000−ii
χ4044-4-44-41-2−4i4i-121-22-1-2-1122i−2i−ii0000000000−2i2i002-20000-1-1110000000000i−i
χ4144-4-44-4-214i−4i2-1-21-1212-2-1i−i−2i2i000000002-2002i−2i00−i−iii000000000000-1100
χ4244-4-44-4-214i−4i2-1-21-1212-2-1i−i−2i2i00000000-2200−2i2i00ii−i−i0000000000001-100
χ4344-4-44-4-21−4i4i2-1-21-1212-2-1−ii2i−2i000000002-200−2i2i00ii−i−i000000000000-1100
χ4444-4-44-4-21−4i4i2-1-21-1212-2-1−ii2i−2i00000000-22002i−2i00−i−iii0000000000001-100
χ454-44-4004400-4-4-4-44400000000000022−2222−220000000000000000000000000000
χ464-44-4004400-4-4-4-444000000000000−2222−22220000000000000000000000000000
χ474-4-4400440044-4-4-4-4000000000000−2i22i22i2−2i20000000000000000000000000000
χ484-4-4400440044-4-4-4-40000000000002i2−2i2−2i22i20000000000000000000000000000
χ498888-8-82-4002-42-4-424-2-240000000000000000000000000000000000000000
χ508888-8-8-4200-42-422-4-244-20000000000000000000000000000000000000000
χ5188-8-8-882-400-242-44-242-2-40000000000000000000000000000000000000000
χ5288-8-8-88-42004-2-42-24-2-4420000000000000000000000000000000000000000
χ538-88-8002-400-24-24-420000000000000000000000000000i6−i6i6−i6000000000000
χ548-88-8002-400-24-24-420000000000000000000000000000−i6i6−i6i6000000000000
χ558-88-800-42004-24-22-4000000000000000000000000i6−i6i6−i60000000000000000
χ568-88-800-42004-24-22-4000000000000000000000000−i6i6−i6i60000000000000000
χ578-8-88002-4002-4-244-20000000000000000000000000000i6−i6−i6i6000000000000
χ588-8-88002-4002-4-244-20000000000000000000000000000−i6i6i6−i6000000000000
χ598-8-8800-4200-424-2-240000000000000000000000006−6−660000000000000000
χ608-8-8800-4200-424-2-24000000000000000000000000−666−60000000000000000

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