Finite Group Databasebeta

← Group #150477

Character table — Group #150477

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122444488888888816161616161616161616161616161616161632323232
order12222244442244444442244444444444488888888
χ111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-11-1-111-1-111-1111iiii−i−i−i−i-1-1-1-1ii−i−i
χ61111111111-1-11-1-111-1-111-1111−i−i−i−iiiii-1-1-1-1−i−iii
χ71111111111-1-11-1-111-1-1-1-1-11-1-1iiii−i−i−i−i1111−i−iii
χ81111111111-1-11-1-111-1-1-1-1-11-1-1−i−i−i−iiiii1111ii−i−i
χ91111111-1-1111-1-1-1-1-11111-11-1-111-1-111-1-111-1-11-11-1
χ101111111-1-1111-1-1-1-1-11111-11-1-1-1-111-1-11111-1-1-11-11
χ111111111-1-1111-1-1-1-1-111-1-1-111111-1-111-1-1-1-111-11-11
χ121111111-1-1111-1-1-1-1-111-1-1-1111-1-111-1-111-1-1111-11-1
χ131111111-1-11-1-1-111-1-1-1-11111-1-1ii−i−i−i−iii-1-111i−i−ii
χ141111111-1-11-1-1-111-1-1-1-11111-1-1−i−iiiii−i−i-1-111−iii−i
χ151111111-1-11-1-1-111-1-1-1-1-1-11111ii−i−i−i−iii11-1-1−iii−i
χ161111111-1-11-1-1-111-1-1-1-1-1-11111−i−iiiii−i−i11-1-1i−i−ii
χ17222222222222222-2-2-2-200-2-2000000000000000000
χ182222222222-2-22-2-2-2-222002-2000000000000000000
χ192222222-2-2222-2-2-222-2-2002-2000000000000000000
χ202222222-2-22-2-2-222222200-2-2000000000000000000
χ212-22-2-22200-20002i−2i2-22i−2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ222-22-2-22200-20002i−2i2-22i−2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ232-22-2-22200-20002i−2i-22−2i2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000
χ242-22-2-22200-20002i−2i-22−2i2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000
χ252-22-2-22200-2000−2i2i2-2−2i2i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ262-22-2-22200-2000−2i2i2-2−2i2i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ272-22-2-22200-2000−2i2i-222i−2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000
χ282-22-2-22200-2000−2i2i-222i−2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000
χ29444444-444-400-40000000000000000000000000000
χ30444444-4-4-4-40040000000000000000000000000000
χ314-44-44-404i−4i00000000002-2002i−2i0000000000000000
χ324-44-44-404i−4i0000000000-2200−2i2i0000000000000000
χ334-44-44-40−4i4i00000000002-200−2i2i0000000000000000
χ344-44-44-40−4i4i0000000000-22002i−2i0000000000000000
χ354-44-4-44-40044-400000000000000000000000000000
χ364-44-4-44-4004-4400000000000000000000000000000
χ378888-8-800000000000000000000000000000000000
χ3888-8-800000000000000000000000000000002i2−2i20000
χ3988-8-80000000000000000000000000000000−2i22i20000
χ408-8-880000000000000000000000000000022−22000000
χ418-8-8800000000000000000000000000000−2222000000

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