Finite Group Databasebeta

← Group #150508

Character table — Group #150508

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444444488888881616161616161616161616161616323232323232
order12222244444444224444422444488888888888888
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111-1-111-1-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-11111-1-1-1-1111-111iiii−i−i−i−i-1-1ii−i−i
χ6111111111-1-1-1-11111-1-1-1-1111-111−i−i−i−iiiii-1-1−i−iii
χ7111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1iiii−i−i−i−i11−i−iii
χ8111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-1111111-1-1-1-1-1111-11-11-111-1-111-1-11-11-11-1
χ10111111-1-1111111-1-1-1-1-1111-11-11-1-1-111-1-1111-1-11-11
χ11111111-1-1111111-1-1-1-1-111-111-1-1111-1-111-1-1-11-11-11
χ12111111-1-1111111-1-1-1-1-111-111-1-11-1-111-1-111-111-11-1
χ13111111-1-11-1-1-1-11-1-1-111-1-11-1111-1ii−i−i−i−iii-11i−i−ii
χ14111111-1-11-1-1-1-11-1-1-111-1-11-1111-1−i−iiiii−i−i-11−iii−i
χ15111111-1-11-1-1-1-11-1-1-111-1-1-1111-11ii−i−i−i−iii1-1−iii−i
χ16111111-1-11-1-1-1-11-1-1-111-1-1-1111-11−i−iiiii−i−i1-1i−i−ii
χ1722222222222222-2-2222-2-200-2-20000000000000000
χ18222222222-2-2-2-22-2-22-2-22200-220000000000000000
χ19222222-2-222222222-2-2-2-2-200-220000000000000000
χ20222222-2-22-2-2-2-2222-2222200-2-20000000000000000
χ212-2-222-20020000-22-202i−2i2i−2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000
χ222-2-222-20020000-22-202i−2i2i−2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000
χ232-2-222-20020000-22-20−2i2i−2i2i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000
χ242-2-222-20020000-22-20−2i2i−2i2i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000
χ252-2-222-20020000-2-2202i−2i−2i2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000
χ262-2-222-20020000-2-2202i−2i−2i2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000
χ272-2-222-20020000-2-220−2i2i2i−2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000
χ282-2-222-20020000-2-220−2i2i2i−2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000
χ2944444444-40000-400-4000000000000000000000000
χ30444444-4-4-40000-4004000000000000000000000000
χ314444-4-44-400000000000002200-2-200000000000000
χ324444-4-44-40000000000000-2-2002200000000000000
χ334444-4-4-4400000000000002-200-2200000000000000
χ344444-4-4-440000000000000-22002-200000000000000
χ354-4-444-400-444-4-44000000000000000000000000000
χ364-4-444-400-4-4-4444000000000000000000000000000
χ3788-8-8000004i−4i4i−4i0000000000000000000000000000
χ3888-8-800000−4i4i−4i4i0000000000000000000000000000
χ398-88-8000004i−4i−4i4i0000000000000000000000000000
χ408-88-800000−4i4i4i−4i0000000000000000000000000000
χ418-8-88-8800000000000000000000000000000000000

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