Finite Group Databasebeta

← Group #11784984

Character table — Group #11784984

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11222444444448888888881212121212121212161618181818242424242424242424242424242424243636484872727272
order12244223366666666612121212222244446622444466668812121212242424242212124488
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ511111-1-11111111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ611111-1-11111111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-1-111
χ711111-1-11111111-1-1-1-11111-1-111-1-111-1-1111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111
χ811111-1-11111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111-1-1111111-1-1-1-111-1-1
χ911-11-11-111-11-11-111-1-111-1-11-1111-1-1-11-11-11-1i−i1-111i−i1-1-1-1ii−i−i1-1i−ii−ii−i
χ1011-11-11-111-11-11-111-1-111-1-11-1111-1-1-11-11-11-1−ii1-111−ii1-1-1-1−i−iii1-1−ii−ii−ii
χ1111-11-11-111-11-11-111-1-111-1-1-11-1-1-11111-11-11-1i−i-11-1-1i−i-1111ii−i−i1-1i−i−ii−ii
χ1211-11-11-111-11-11-111-1-111-1-1-11-1-1-11111-11-11-1−ii-11-1-1−ii-1111−i−iii1-1−iii−ii−i
χ1311-11-1-1111-11-11-1-1-11111-1-11-1-1-11-111-111-11-1i−i1-1-1-1−ii1-111−i−iii-11i−ii−i−ii
χ1411-11-1-1111-11-11-1-1-11111-1-11-1-1-11-111-111-11-1−ii1-1-1-1i−i1-111ii−i−i-11−ii−iii−i
χ1511-11-1-1111-11-11-1-1-11111-1-1-1111-11-1-1-111-11-1i−i-1111−ii-11-1-1−i−iii-11i−i−iii−i
χ1611-11-1-1111-11-11-1-1-11111-1-1-1111-11-1-1-111-11-1−ii-1111i−i-11-1-1ii−i−i-11−iii−i−ii
χ1722222222222222222222220000000022-2-2-2-20000000000000000-2-2000000
χ1822222-2-22222222-2-2-2-2222200000000-2-2-2-2-2-2000000000000000022000000
χ19222-2-20022222220000-2-2-2-2002-2002-200-2-22200002-200002-2000000000000
χ20222-2-20022222220000-2-2-2-200-2200-2200-2-2220000-220000-22000000000000
χ21222-2-20022222220000-2-2-2-22-200-22000022-2-2002-20000-2200000000000000
χ22222-2-20022222220000-2-2-2-2-22002-2000022-2-200-2200002-200000000000000
χ2322-22-22-222-22-22-222-2-222-2-2000000002-2-22-220000000000000000-22000000
χ2422-22-2-2222-22-22-2-2-22222-2-200000000-22-22-2200000000000000002-2000000
χ2522-2-220022-22-22-20000-2-222002-200-2200-222-200002-20000-22000000000000
χ2622-2-220022-22-22-20000-2-22200-22002-200-222-20000-2200002-2000000000000
χ2722-2-220022-22-22-20000-2-2222200-2-200002-2-2200220000-2-200000000000000
χ2822-2-220022-22-22-20000-2-222-2-2002200002-2-2200-2-200002200000000000000
χ2944444441-2111-2-2-2-2-2-21-2-2100000000110000220000220000-1-1-1-100-1-10000
χ3044444441-2111-2-2-2-2-2-21-2-2100000000110000-2-20000-2-20000111100110000
χ314444444-21-2-2-2111111-211-222222222-2-2000000-1-1-1-100-1-1-1-1000000000000
χ324444444-21-2-2-2111111-211-2-2-2-2-2-2-2-2-2-2-20000001111001111000000000000
χ3344444-4-41-2111-2-222221-2-2100000000-1-10000220000-2-20000111100-1-10000
χ3444444-4-41-2111-2-222221-2-2100000000-1-10000-2-20000220000-1-1-1-100110000
χ3544444-4-4-21-2-2-211-1-1-1-1-211-222-2-222-2-222000000-1-11100-1-111000000000000
χ3644444-4-4-21-2-2-211-1-1-1-1-211-2-2-222-2-2222200000011-1-10011-1-1000000000000
χ37444-4-400-21-2-2-2113-33-32-1-122-22-2-222-200000000-11-11001-1-11000000000000
χ38444-4-400-21-2-2-2113-33-32-1-12-22-222-2-22000000001-11-100-111-1000000000000
χ39444-4-400-21-2-2-211-33-332-1-122-2-22-22-2200000000-111-1001-11-1000000000000
χ40444-4-400-21-2-2-211-33-332-1-12-222-22-22-2000000001-1-1100-11-11000000000000
χ4144-44-44-41-2-11-1-22-2-2221-22-1000000001-100002i−2i00002i−2i0000−i−iii00−ii0000
χ4244-44-44-41-2-11-1-22-2-2221-22-1000000001-10000−2i2i0000−2i2i0000ii−i−i00i−i0000
χ4344-44-44-4-212-221-111-1-1-21-122-2222-2-2-2-22000000-11-1-100-1111000000000000
χ4444-44-44-4-212-221-111-1-1-21-12-22-2-2-2222-220000001-111001-1-1-1000000000000
χ4544-44-4-441-2-11-1-2222-2-21-22-100000000-1100002i−2i0000−2i2i0000ii−i−i00−ii0000
χ4644-44-4-441-2-11-1-2222-2-21-22-100000000-110000−2i2i00002i−2i0000−i−iii00i−i0000
χ4744-44-4-44-212-221-1-1-111-21-122-2-2-22-2222-2000000-111100-11-1-1000000000000
χ4844-44-4-44-212-221-1-1-111-21-12-2222-22-2-22-20000001-1-1-1001-111000000000000
χ4944-4-4400-212-221-13-3-332-11-2222-2-2-2-2200000000-1-1-1100111-1000000000000
χ5044-4-4400-212-221-13-3-332-11-2-2-2-22222-200000000111-100-1-1-11000000000000
χ5144-4-4400-212-221-1-333-32-11-222-22-2-22-200000000-1-11-10011-11000000000000
χ5244-4-4400-212-221-1-333-32-11-2-2-22-222-220000000011-1100-1-11-1000000000000
χ53888-8-8002-4222-4-40000-244-200000000000000000000000000000000000000
χ5488-8-88002-4-22-2-440000-24-4200000000000000000000000000000000000000
χ558-8000002-46-2-6400000000000000000000000000000000000i6−i6i6−i600000000
χ568-8000002-46-2-6400000000000000000000000000000000000−i6i6−i6i600000000
χ578-8000002-4-6-264000000000000000000000000000000000006−6−6600000000
χ588-8000002-4-6-26400000000000000000000000000000000000−666−600000000
χ598-800000880-80-800000000000000000000000000000000000000000000000
χ6016-1600000-84080-400000000000000000000000000000000000000000000000

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