Finite Group Databasebeta

← Group #152762

Character table — Group #152762

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size11112244448888888888888161616161616161616161616323232323232
order12222222442222444448888244444444488448888
χ111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ41111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1111-1-11111-11iiii−i−i−i−i11-1-1ii−i−i
χ61111111111-1-1-1-1111-1-11111-11−i−i−i−iiiii11-1-1−i−iii
χ71111111111-1-1-1-1111-1-1-1-1-1-1-11iiii−i−i−i−i-1-111−i−iii
χ81111111111-1-1-1-1111-1-1-1-1-1-1-11−i−i−i−iiiii-1-111ii−i−i
χ9111111-1-11111-1-1-111-1-111111-1ii−i−iii−i−i-1-11-1i−ii−i
χ10111111-1-11111-1-1-111-1-111111-1−i−iii−i−iii-1-11-1−ii−ii
χ11111111-1-11111-1-1-111-1-1-1-1-1-11-1ii−i−iii−i−i11-11−ii−ii
χ12111111-1-11111-1-1-111-1-1-1-1-1-11-1−i−iii−i−iii11-11i−ii−i
χ13111111-1-111-1-111-111111111-1-111-1-1-1-111-1-1-111-1-11
χ14111111-1-111-1-111-111111111-1-1-1-11111-1-1-1-1-11-111-1
χ15111111-1-111-1-111-11111-1-1-1-1-1-111-1-1-1-111111-1-111-1
χ16111111-1-111-1-111-11111-1-1-1-1-1-1-1-11111-1-1111-11-1-11
χ17222222222222222-2-2-2-20000-2-20000000000000000
χ182222222222-2-2-2-22-2-22200002-20000000000000000
χ19222222-2-22222-2-2-2-2-2220000-220000000000000000
χ20222222-2-222-2-222-2-2-2-2-20000220000000000000000
χ212-2-222-2002-2002-202-22-2000000002i−2i2i−2i0000000000
χ222-2-222-2002-2002-202-22-200000000−2i2i−2i2i0000000000
χ232-2-222-2002-2002-20-22-220000002i−2i00002i−2i00000000
χ242-2-222-2002-2002-20-22-22000000−2i2i0000−2i2i00000000
χ252-2-222-2002-200-2202-2-22000000002-2-220000000000
χ262-2-222-2002-200-2202-2-2200000000-222-20000000000
χ272-2-222-2002-200-220-222-20000002-20000-2200000000
χ282-2-222-2002-200-220-222-2000000-2200002-200000000
χ2944444444-4-40000-400000000000000000000000000
χ30444444-4-4-4-40000400000000000000000000000000
χ314-4-444-400-444-400000000000000000000000000000
χ324-4-444-400-44-4400000000000000000000000000000
χ334-4-44-444-40000000000022-2-200000000002-2000000
χ344-4-44-444-400000000000-2-2220000000000-22000000
χ354-4-44-44-440000000000022-2-20000000000-22000000
χ364-4-44-44-4400000000000-2-22200000000002-2000000
χ378888-8-800000000000000000000000000000000000
χ3888-8-80000000000000002i2−2i22i2−2i2000000000000000000
χ3988-8-8000000000000000−2i22i2−2i22i2000000000000000000
χ408-88-80000000000000002i2−2i2−2i22i2000000000000000000
χ418-88-8000000000000000−2i22i22i2−2i2000000000000000000

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