Finite Group Databasebeta

← Group #150430

Character table — Group #150430

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122224448888888888816161616161616161616161616323232323232
order12222244444222444444444444444448888248888
χ111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111-1-1-1iiii−i−i−i−i1111-1-1ii−i−i
χ6111111111111-1-1-1-11111-1-1-1iiii−i−i−i−i-1-1-1-111−i−iii
χ7111111111111-1-1-1-11111-1-1-1−i−i−i−iiiii1111-1-1−i−iii
χ8111111111111-1-1-1-11111-1-1-1−i−i−i−iiiii-1-1-1-111ii−i−i
χ9111111-1-1-111-111-1-111-1-111-111-1-111-1-111-1-11-11-11-1
χ10111111-1-1-111-111-1-111-1-111-111-1-111-1-1-1-111-11-11-11
χ11111111-1-1-111-111-1-111-1-111-1-1-111-1-11111-1-11-1-11-11
χ12111111-1-1-111-111-1-111-1-111-1-1-111-1-111-1-111-111-11-1
χ13111111-1-1-111-1-1-11111-1-1-1-11ii−i−i−i−iii11-1-1-11i−i−ii
χ14111111-1-1-111-1-1-11111-1-1-1-11ii−i−i−i−iii-1-1111-1−iii−i
χ15111111-1-1-111-1-1-11111-1-1-1-11−i−iiiii−i−i11-1-1-11−iii−i
χ16111111-1-1-111-1-1-11111-1-1-1-11−i−iiiii−i−i-1-1111-1i−i−ii
χ172222222222222222-2-2-2-2-2-2-2000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2222000000000000000000
χ19222222-2-2-222-222-2-2-2-222-2-22000000000000000000
χ20222222-2-2-222-2-2-222-2-22222-2000000000000000000
χ212-22-22-20002-20002-2002i−2i2i−2i01+i−1−i1−i−1+i1−i−1+i1+i−1−i0000000000
χ222-22-22-20002-20002-2002i−2i2i−2i0−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000000000
χ232-22-22-20002-20002-200−2i2i−2i2i01−i−1+i1+i−1−i1+i−1−i1−i−1+i0000000000
χ242-22-22-20002-20002-200−2i2i−2i2i0−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000000000
χ252-22-22-20002-2000-22002i−2i−2i2i01−i−1+i−1−i1+i1+i−1−i−1+i1−i0000000000
χ262-22-22-20002-2000-22002i−2i−2i2i0−1+i1−i1+i−1−i−1−i1+i1−i−1+i0000000000
χ272-22-22-20002-2000-2200−2i2i2i−2i01+i−1−i−1+i1−i1−i−1+i−1−i1+i0000000000
χ282-22-22-20002-2000-2200−2i2i2i−2i0−1−i1+i1−i−1+i−1+i1−i1+i−1−i0000000000
χ29444444444-4-4-400000000000000000000000000000
χ30444444-4-4-4-4-4400000000000000000000000000000
χ314444-4-444-400000000000000000000002-22-2000000
χ324444-4-444-40000000000000000000000-22-22000000
χ334444-4-4-4-4400000000000000000000002-2-22000000
χ344444-4-4-4-440000000000000000000000-222-2000000
χ354-44-44-4000-4404-4000000000000000000000000000
χ364-44-44-4000-440-44000000000000000000000000000
χ3788-8-8008i−8i000000000000000000000000000000000
χ3888-8-800−8i8i000000000000000000000000000000000
χ398-88-8-8800000000000000000000000000000000000
χ408-8-880000000000004-400000000000000000000000
χ418-8-88000000000000-4400000000000000000000000

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