Finite Group Databasebeta

← Group #11790768

Character table — Group #11790768

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888888888888999918182424242424242424363636363636363636364848484848484848
order1222443366666688121212122424242424242424222244222244444444888888666612121212
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1
χ31111111111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ511111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ811111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ911-1-11-111-1-111-1-1i−i11-1-1iiii−i−i−i−i-1-1111-11-11-1i−ii−i11-1-1i−iii−i−i1-11-1i−ii−i
χ1011-1-11-111-1-111-1-1i−i11-1-1iiii−i−i−i−i-1-1111-11-1-11i−i−ii-1-111i−i−i−iii1-1-11i−i−ii
χ1111-1-11-111-1-111-1-1i−i11-1-1iiii−i−i−i−i-1-1111-1-111-1−iii−i-1-111i−i−i−iii-111-1−iii−i
χ1211-1-11-111-1-111-1-1i−i11-1-1iiii−i−i−i−i-1-1111-1-11-11−ii−ii11-1-1i−iii−i−i-11-11−ii−ii
χ1311-1-11-111-1-111-1-1−ii11-1-1−i−i−i−iiiii-1-1111-11-11-1−ii−ii11-1-1−ii−i−iii1-11-1−ii−ii
χ1411-1-11-111-1-111-1-1−ii11-1-1−i−i−i−iiiii-1-1111-11-1-11−iii−i-1-111−iiii−i−i1-1-11−iii−i
χ1511-1-11-111-1-111-1-1−ii11-1-1−i−i−i−iiiii-1-1111-1-111-1i−i−ii-1-111−iiii−i−i-111-1i−i−ii
χ1611-1-11-111-1-111-1-1−ii11-1-1−i−i−i−iiiii-1-1111-1-11-11i−ii−i11-1-1−ii−i−iii-11-11i−ii−i
χ172222222222222222222222222222-2-2-2-2-2-2000000000000-2-2000000000000
χ1822222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000022000000000000
χ192222-2-22222222200-2-2-2-2000000002222-2-2000000002-22-200000000000000
χ202222-2-22222222200-2-2-2-2000000002222-2-200000000-22-2200000000000000
χ212222-2-22222222200-2-2-2-200000000-2-2-2-222000000000000002-22-200000000
χ222222-2-22222222200-2-2-2-200000000-2-2-2-22200000000000000-22-2200000000
χ2322-2-22-222-2-222-2-22i−2i22-2-22i2i2i2i−2i−2i−2i−2i22-2-2-22000000000000−2i2i000000000000
χ2422-2-22-222-2-222-2-2−2i2i22-2-2−2i−2i−2i−2i2i2i2i2i22-2-2-220000000000002i−2i000000000000
χ2522-2-2-2222-2-222-2-200-2-2220000000022-2-22-2000000000000002i−2i−2i2i00000000
χ2622-2-2-2222-2-222-2-200-2-2220000000022-2-22-200000000000000−2i2i2i−2i00000000
χ2722-2-2-2222-2-222-2-200-2-22200000000-2-222-22000000002-2-2200000000000000
χ2822-2-2-2222-2-222-2-200-2-22200000000-2-222-2200000000-222-200000000000000
χ294444441-21-21-21-2441-21-211-2-211-2-200000000220022000000000000-1-100-1-1
χ304444441-21-21-21-2441-21-211-2-211-2-200000000-2-200-2-2000000000000110011
χ314444441-21-21-21-2-4-41-21-2-1-122-1-122000000002200-2-2000000000000-1-10011
χ324444441-21-21-21-2-4-41-21-2-1-122-1-12200000000-2-200220000000000001100-1-1
χ33444444-21-21-21-2144-21-21-2-211-2-211000000220022000000000000-1-100-1-100
χ34444444-21-21-21-2144-21-21-2-211-2-211000000-2-200-2-200000000000011001100
χ35444444-21-21-21-21-4-4-21-2122-1-122-1-10000002200-2-2000000000000-1-1001100
χ36444444-21-21-21-21-4-4-21-2122-1-122-1-1000000-2-200220000000000001100-1-100
χ3744-4-44-41-2-121-2-124i−4i1-2-12ii−2i−2i−i−i2i2i000000002-2002i−2i000000000000-1100−ii
χ3844-4-44-41-2-121-2-124i−4i1-2-12ii−2i−2i−i−i2i2i00000000-2200−2i2i0000000000001-100i−i
χ3944-4-44-41-2-121-2-12−4i4i1-2-12−i−i2i2iii−2i−2i000000002-200−2i2i000000000000-1100i−i
χ4044-4-44-41-2-121-2-12−4i4i1-2-12−i−i2i2iii−2i−2i00000000-22002i−2i0000000000001-100−ii
χ4144-4-44-4-212-1-212-14i−4i-212-1−2i−2iii2i2i−i−i0000002-2002i−2i000000000000-1100−ii00
χ4244-4-44-4-212-1-212-14i−4i-212-1−2i−2iii2i2i−i−i000000-2200−2i2i0000000000001-100i−i00
χ4344-4-44-4-212-1-212-1−4i4i-212-12i2i−i−i−2i−2iii0000002-200−2i2i000000000000-1100i−i00
χ4444-4-44-4-212-1-212-1−4i4i-212-12i2i−i−i−2i−2iii000000-22002i−2i0000000000001-100−ii00
χ454-44-400444-4-4-4-44000000000000004-44-40000000000000000000000000000
χ464-44-400444-4-4-4-4400000000000000-44-440000000000000000000000000000
χ474-4-440044-44-4-44-4000000000000004-4-440000000000000000000000000000
χ484-4-440044-44-4-44-400000000000000-444-40000000000000000000000000000
χ498888-8-82-42-42-42-400-24-240000000000000000000000000000000000000000
χ508888-8-8-42-42-42-42004-24-20000000000000000000000000000000000000000
χ5188-8-8-882-4-242-4-2400-242-40000000000000000000000000000000000000000
χ5288-8-8-88-424-2-424-2004-2-420000000000000000000000000000000000000000
χ538-88-8002-424-24-2-40000003i2−3i2003i2−3i20000000000000000000000000000000000
χ548-88-8002-424-24-2-4000000−3i23i200−3i23i20000000000000000000000000000000000
χ558-88-800-42-4-24-2420000000032−320032−3200000000000000000000000000000000
χ568-88-800-42-4-24-24200000000−323200−323200000000000000000000000000000000
χ578-8-88002-4-2-4-242400000032−3200−32320000000000000000000000000000000000
χ588-8-88002-4-2-4-2424000000−32320032−320000000000000000000000000000000000
χ598-8-8800-42424-2-4-2000000003i2−3i200−3i23i200000000000000000000000000000000
χ608-8-8800-42424-2-4-200000000−3i23i2003i2−3i200000000000000000000000000000000

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