Finite Group Databasebeta

← Group #1859

Character table — Group #1859

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32
size11112222224444444444444444888888
order12222244442244444444444444448888
χ111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-111-1-1-1-1-1-11111-1-111-1-1
χ4111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111-1-111-1-111-1-1-1-11111-1-1-1-111
χ61111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1
χ71111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ81111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ91-11-1-111-11-11-1i−i1-1i−iii−i−i11-1-1i−i1-1i−i
χ101-11-1-111-11-11-1i−i1-1i−iii−i−i-1-111−ii-11−ii
χ111-11-1-111-11-11-1−ii1-1−ii−i−iii11-1-1−ii1-1−ii
χ121-11-1-111-11-11-1−ii1-1−ii−i−iii-1-111i−i-11i−i
χ131-11-1-111-11-1-11i−i-11i−i−i−iii11-1-1−ii-11i−i
χ141-11-1-111-11-1-11i−i-11i−i−i−iii-1-111i−i1-1−ii
χ151-11-1-111-11-1-11−ii-11−iiii−i−i11-1-1i−i-11−ii
χ161-11-1-111-11-1-11−ii-11−iiii−i−i-1-111−ii1-1i−i
χ17222222-2-2-2-2000000002-22-20000000000
χ18222222-2-2-2-200000000-22-220000000000
χ192222-2-22-2-222200-2-20000000000000000
χ202222-2-22-2-22-2-200220000000000000000
χ212222-2-2-222-2002200-2-200000000000000
χ222222-2-2-222-200-2-2002200000000000000
χ232-22-22-222-2-22-200-220000000000000000
χ242-22-22-222-2-2-22002-20000000000000000
χ252-22-22-2-2-222002i−2i00−2i2i00000000000000
χ262-22-22-2-2-22200−2i2i002i−2i00000000000000
χ272-22-2-22-22-22000000002i−2i−2i2i0000000000
χ282-22-2-22-22-2200000000−2i2i2i−2i0000000000
χ2944-4-40000000000000000002-22-2000000
χ3044-4-4000000000000000000-22-22000000
χ314-4-440000000000000000002-2-22000000
χ324-4-44000000000000000000-222-2000000

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