Finite Group Databasebeta

← Group #152761

Character table — Group #152761

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size11112244448888888888888161616161616161616161616323232323232
order12222244442222244448888248888888888244444
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1
χ41111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-1-111-11111-1111iiii−i−i−i−i-1-1ii−i−i
χ611111111111-1-1-1-1-111-11111-1111−i−i−i−iiiii-1-1−i−iii
χ711111111111-1-1-1-1-111-1-1-1-1-1-11-1-1iiii−i−i−i−i11−i−iii
χ811111111111-1-1-1-1-111-1-1-1-1-1-11-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-111-111-1-1-111-111111-1-1-1ii−i−iii−i−i1-1i−ii−i
χ10111111-1-111-111-1-1-111-111111-1-1-1−i−iii−i−iii1-1−ii−ii
χ11111111-1-111-111-1-1-111-1-1-1-1-11-111ii−i−iii−i−i-11−ii−ii
χ12111111-1-111-111-1-1-111-1-1-1-1-11-111−i−iii−i−iii-11i−ii−i
χ13111111-1-111-1-1-11111111111-1-1-1-111-1-1-1-111-111-1-11
χ14111111-1-111-1-1-11111111111-1-1-1-1-1-11111-1-1-11-111-1
χ15111111-1-111-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-111-1
χ16111111-1-111-1-1-1111111-1-1-1-1-1-111-1-11111-1-11-11-1-11
χ172222222222222-2-22-2-220000-2-20000000000000000
χ1822222222222-2-222-2-2-2-200002-20000000000000000
χ19222222-2-222-22222-2-2-2-20000-220000000000000000
χ20222222-2-222-2-2-2-2-22-2-220000220000000000000000
χ212-2-222-2002-20002-222-2-200000000002i−2i2i−2i00000000
χ222-2-222-2002-20002-222-2-20000000000−2i2i−2i2i00000000
χ232-2-222-2002-20002-2-2-222000000002-200002-2000000
χ242-2-222-2002-20002-2-2-22200000000-220000-22000000
χ252-2-222-2002-2000-222-22-2000000002i−2i0000−2i2i000000
χ262-2-222-2002-2000-222-22-200000000−2i2i00002i−2i000000
χ272-2-222-2002-2000-22-22-2200000000002-2-2200000000
χ282-2-222-2002-2000-22-22-220000000000-222-200000000
χ2944444444-4-4-4000000000000000000000000000000
χ30444444-4-4-4-44000000000000000000000000000000
χ314-4-444-400-4404-40000000000000000000000000000
χ324-4-444-400-440-440000000000000000000000000000
χ334-4-44-444-40000000000022-2-2002-200000000000000
χ344-4-44-444-400000000000-2-22200-2200000000000000
χ354-4-44-44-440000000000022-2-200-2200000000000000
χ364-4-44-44-4400000000000-2-222002-200000000000000
χ378888-8-800000000000000000000000000000000000
χ3888-8-800000000000000022−2222−22000000000000000000
χ3988-8-8000000000000000−2222−2222000000000000000000
χ408-88-800000000000000022−22−2222000000000000000000
χ418-88-8000000000000000−222222−22000000000000000000

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