Finite Group Databasebeta

← Group #150478

Character table — Group #150478

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122444488888888816161616161616161616161616161616161632323232
order12222244442244444442444444444444488888888
χ111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-11-1-111-1-1-111111iiii−i−i−i−i-1-1-1-1ii−i−i
χ61111111111-1-11-1-111-1-1-111111−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
χ9111111-1-11111-1-1-1-1-111-1111-1-111-1-111-1-111-1-11-11-1
χ10111111-1-11111-1-1-1-1-111-1111-1-1-1-111-1-11111-1-1-11-11
χ11111111-1-11111-1-1-1-1-111-1-1-111111-1-111-1-1-1-111-11-11
χ12111111-1-11111-1-1-1-1-111-1-1-1111-1-111-1-111-1-1111-11-1
χ13111111-1-111-1-1-111-1-1-1-11111-1-1ii−i−i−i−iii-1-111i−i−ii
χ14111111-1-111-1-1-111-1-1-1-11111-1-1−i−iiiii−i−i-1-111−iii−i
χ15111111-1-111-1-1-111-1-1-1-11-1-1111ii−i−i−i−iii11-1-1−iii−i
χ16111111-1-111-1-1-111-1-1-1-11-1-1111−i−iiiii−i−i11-1-1i−i−ii
χ17222222222222222-2-2-2-2-200-2000000000000000000
χ182222222222-2-22-2-2-2-222200-2000000000000000000
χ19222222-2-22222-2-2-222-2-2200-2000000000000000000
χ20222222-2-222-2-2-2222222-200-2000000000000000000
χ212-2-22-22002-20002i−2i2-22i−2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ222-2-22-22002-20002i−2i2-22i−2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ232-2-22-22002-20002i−2i-22−2i2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000
χ242-2-22-22002-20002i−2i-22−2i2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000
χ252-2-22-22002-2000−2i2i2-2−2i2i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ262-2-22-22002-2000−2i2i2-2−2i2i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ272-2-22-22002-2000−2i2i-222i−2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000
χ282-2-22-22002-2000−2i2i-222i−2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000
χ2944444444-4-400-40000000000000000000000000000
χ30444444-4-4-4-40040000000000000000000000000000
χ314-4-444-44i−4i0000000000002-202i−2i0000000000000000
χ324-4-444-44i−4i000000000000-220−2i2i0000000000000000
χ334-4-444-4−4i4i0000000000002-20−2i2i0000000000000000
χ344-4-444-4−4i4i000000000000-2202i−2i0000000000000000
χ354-4-44-4400-444-400000000000000000000000000000
χ364-4-44-4400-44-4400000000000000000000000000000
χ378888-8-800000000000000000000000000000000000
χ3888-8-800000000000000000000000000000002i2−2i20000
χ3988-8-80000000000000000000000000000000−2i22i20000
χ408-88-8000000000000000000000000000002i2−2i2000000
χ418-88-800000000000000000000000000000−2i22i2000000

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