Finite Group Databasebeta

← Group #72337648

Character table — Group #72337648

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11112244444488888816161616161616161616163232323232323232323232323232323264646464
order1222222244442244442222222444444448888888888884444
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ511111111111111111111-1-1111-1-111-1-11111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ911111111-1-1-1-111-111-11-1111-1-1111-1-1-11-1ii−i−iii−i−iii−i−i1-1i−i
χ1011111111-1-1-1-111-111-11-1111-1-1111-1-1-11-1−i−iii−i−iii−i−iii1-1−ii
χ1111111111-1-1-1-111-111-11-111-11-111-11-1-1-11ii−i−i−i−iiiii−i−i-11−ii
χ1211111111-1-1-1-111-111-11-111-11-111-11-1-1-11−i−iiiii−i−i−i−iii-11i−i
χ1311111111-1-1-1-111-111-11-1-1-11-1-1-1-11-1111-1ii−i−iii−i−i−i−iii-11−ii
χ1411111111-1-1-1-111-111-11-1-1-11-1-1-1-11-1111-1−i−iii−i−iiiii−i−i-11i−i
χ1511111111-1-1-1-111-111-11-1-1-1-11-1-1-1-1111-11ii−i−i−i−iii−i−iii1-1i−i
χ1611111111-1-1-1-111-111-11-1-1-1-11-1-1-1-1111-11−i−iiiii−i−iii−i−i1-1−ii
χ1722222222222222-2-2-2-2-220022-2002200-2-20000000000000000
χ1822222222222222-2-2-2-2-2200-2-2-200-2-200220000000000000000
χ19222222222222-2-22222-2-20000-2000000002-22-2000000000000
χ20222222222222-2-22222-2-20000-200000000-22-22000000000000
χ21222222222222-2-2-2-2-2-22-2000020000000000002-22-200000000
χ22222222222222-2-2-2-2-2-22-200002000000000000-22-2200000000
χ2322222222-2-2-2-2222-2-22-2-2002-22002-200-220000000000000000
χ2422222222-2-2-2-2222-2-22-2-200-22200-22002-20000000000000000
χ2522222222-2-2-2-2-2-22-2-22220000-20000000000002i−2i−2i2i00000000
χ2622222222-2-2-2-2-2-22-2-22220000-2000000000000−2i2i2i−2i00000000
χ2722222222-2-2-2-2-2-2-222-2-2200002000000002i−2i−2i2i000000000000
χ2822222222-2-2-2-2-2-2-222-2-220000200000000−2i2i2i−2i000000000000
χ29444444-4-444-4-40000000022000-2-2002-2000000000000000000
χ30444444-4-444-4-400000000-2-20002200-22000000000000000000
χ31444444-4-4-4-4440000000022000-2-200-22000000000000000000
χ32444444-4-4-4-44400000000-2-200022002-2000000000000000000
χ334444-4-4-4400004-400000000040000-400000000000000000000
χ344444-4-4-4400004-4000000000-40000400000000000000000000
χ354444-4-4-440000-440000000040000-4000000000000000000000
χ364444-4-4-440000-4400000000-400004000000000000000000000
χ378888-8-88-800000000000000000000000000000000000000000
χ3888-8-80000000000400-4000000000000000000000002i−2i2i−2i0000
χ3988-8-80000000000400-400000000000000000000000−2i2i−2i2i0000
χ4088-8-80000000000-4004000000000000000000000002-2-220000
χ4188-8-80000000000-400400000000000000000000000-222-20000
χ428-88-8000000000004-4000000004-40000000000000000000000
χ438-88-8000000000004-400000000-440000000000000000000000
χ448-88-800000000000-440004-4000000000000000000000000000
χ458-88-800000000000-44000-44000000000000000000000000000
χ468-8-888-800008-80000000000000000000000000000000000000
χ478-8-888-80000-880000000000000000000000000000000000000
χ488-8-88-88008-8000000000000000000000000000000000000000
χ498-8-88-8800-88000000000000000000000000000000000000000

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