Finite Group Databasebeta

← Group #150503

Character table — Group #150503

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122224448888888888816161616161616161616161616323232323232
order12222244444444444444444888888888888448888
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-11111-1-1-1-1-11111iiii−i−i−i−i-1-1ii−i−i
χ6111111111111-1-11111-1-1-1-1-11111−i−i−i−iiiii-1-1−i−iii
χ7111111111111-1-11111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ8111111111111-1-11111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-1-111-11111-1-1-1-1-1-1111-1-1ii−i−iii−i−i1-1i−ii−i
χ10111111-1-1-111-11111-1-1-1-1-1-1111-1-1−i−iii−i−iii1-1−ii−ii
χ11111111-1-1-111-11111-1-1-1-1-1-11-1-111ii−i−iii−i−i-11−ii−ii
χ12111111-1-1-111-11111-1-1-1-1-1-11-1-111−i−iii−i−iii-11i−ii−i
χ13111111-1-1-111-1-1-111-1-11111-111-1-111-1-1-1-111-111-1-11
χ14111111-1-1-111-1-1-111-1-11111-111-1-1-1-11111-1-1-11-111-1
χ15111111-1-1-111-1-1-111-1-11111-1-1-11111-1-1-1-1111-1-111-1
χ16111111-1-1-111-1-1-111-1-11111-1-1-111-1-11111-1-11-11-1-11
χ1722222222222222-2-2-2-222-2-2-2000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2222000000000000000000
χ19222222-2-2-222-222-2-222-2-222-2000000000000000000
χ20222222-2-2-222-2-2-2-2-22222-2-22000000000000000000
χ212-22-2-220002-202i−2i002-2002i−2i000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000
χ222-22-2-220002-202i−2i002-2002i−2i00000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000
χ232-22-2-220002-202i−2i00-2200−2i2i000001−i−1+i−1+i1−i−1−i1+i1+i−1−i000000
χ242-22-2-220002-202i−2i00-2200−2i2i00000−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000
χ252-22-2-220002-20−2i2i002-200−2i2i000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000
χ262-22-2-220002-20−2i2i002-200−2i2i00000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000
χ272-22-2-220002-20−2i2i00-22002i−2i000001+i−1−i−1−i1+i−1+i1−i1−i−1+i000000
χ282-22-2-220002-20−2i2i00-22002i−2i00000−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000
χ29444444444-4-4-400000000000000000000000000000
χ30444444-4-4-4-4-4400000000000000000000000000000
χ314444-4-444-4000000000000002i−2i2i−2i00000000000000
χ324444-4-444-400000000000000−2i2i−2i2i00000000000000
χ334444-4-4-4-44000000000000002i−2i−2i2i00000000000000
χ344444-4-4-4-4400000000000000−2i2i2i−2i00000000000000
χ354-44-4-44000-4400000004-4000000000000000000000
χ364-44-4-44000-440000000-44000000000000000000000
χ3788-8-8008-8000000000000000000000000000000000
χ3888-8-800-88000000000000000000000000000000000
χ398-88-88-800000000000000000000000000000000000
χ408-8-8800000000004i−4i0000000000000000000000000
χ418-8-880000000000−4i4i0000000000000000000000000

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