Finite Group Databasebeta

← Group #150547

Character table — Group #150547

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112222444444488888888888888888161616161616161616323232323232
order12222244444444444444444488888888488888888448888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-111111111-1iiii−i−i−i−i-1-1ii−i−i
χ61111111111111111-1-111-1-1-1-111111111-1−i−i−i−iiiii-1-1−i−iii
χ71111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-1-11-1-1-1-11-11111-1-1-1-11111-1-1-1-11ii−i−iii−i−i1-1i−ii−i
χ10111111-1-1-11-1-1-1-11-11111-1-1-1-11111-1-1-1-11−i−iii−i−iii1-1−ii−ii
χ11111111-1-1-11-1-1-1-11-11111-1-1-1-1-1-1-1-111111ii−i−iii−i−i-11−ii−ii
χ12111111-1-1-11-1-1-1-11-11111-1-1-1-1-1-1-1-111111−i−iii−i−iii-11i−ii−i
χ13111111-1-1-11-1-1-1-11-1-1-11111111111-1-1-1-1-111-1-1-1-111-111-1-11
χ14111111-1-1-11-1-1-1-11-1-1-11111111111-1-1-1-1-1-1-11111-1-1-11-111-1
χ15111111-1-1-11-1-1-1-11-1-1-1111111-1-1-1-11111-111-1-1-1-1111-1-111-1
χ16111111-1-1-11-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-11111-1-11-11-1-11
χ172222222222-2-2-2-22222-2-222-2-200000000-200000000000000
χ182222222222-2-2-2-222-2-2-2-2-2-22200000000200000000000000
χ19222222-2-2-2222222-222-2-2-2-22200000000-200000000000000
χ20222222-2-2-2222222-2-2-2-2-222-2-200000000200000000000000
χ212-22-22-2000-222-2-2202i−2i00002i−2i0000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000
χ222-22-22-2000-222-2-2202i−2i00002i−2i000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000
χ232-22-22-2000-222-2-220−2i2i0000−2i2i0000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000
χ242-22-22-2000-222-2-220−2i2i0000−2i2i000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000
χ252-22-22-2000-2-2-222202i−2i0000−2i2i0000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i000000
χ262-22-22-2000-2-2-222202i−2i0000−2i2i000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000
χ272-22-22-2000-2-2-22220−2i2i00002i−2i0000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i000000
χ282-22-22-2000-2-2-22220−2i2i00002i−2i000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000
χ29444444444-40000-4-40000000000000000000000000000000
χ30444444-4-4-4-40000-440000000000000000000000000000000
χ314444-4-444-400000000000000022-2-222-2-2000000000000000
χ324444-4-444-4000000000000000-2-222-2-222000000000000000
χ334444-4-4-4-4400000000000000022-2-2-2-222000000000000000
χ344444-4-4-4-44000000000000000-2-22222-2-2000000000000000
χ3544-4-4004-4002-22-200002-200000022−220022−22000000000000000
χ3644-4-4004-4002-22-200002-2000000−222200−2222000000000000000
χ3744-4-4004-400-22-220000-22000022−220022−2200000000000000000
χ3844-4-4004-400-22-220000-220000−222200−222200000000000000000
χ3944-4-400-44002-22-20000-22000022−2200−222200000000000000000
χ4044-4-400-44002-22-20000-220000−22220022−2200000000000000000
χ4144-4-400-4400-22-2200002-200000022−2200−2222000000000000000
χ4244-4-400-4400-22-2200002-2000000−22220022−22000000000000000
χ434-44-44-400040000-4000004-40000000000000000000000000
χ444-44-44-400040000-400000-440000000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-880000004-4-44000000000000000000000000000000000
χ478-8-88000000-444-4000000000000000000000000000000000

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