Finite Group Databasebeta

← Group #94671

Character table — Group #94671

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444444444881616161616161616161616161616161616163232323232
order1222224444448888882244448888161616161616161644444
χ111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i1ii−i−i
χ6111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii1−i−iii
χ7111111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i1−i−iii
χ8111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii1ii−i−i
χ9222222222222222222-2-20000000000000000-20000
χ10222222222222-2-2-2-2-2-2220000000000000000-20000
χ112-2-22-22222-2-2-22i2i−2i−2i2i−2i00000000000000000001+i−1−i1−i−1+i
χ122-2-22-22222-2-2-22i2i−2i−2i2i−2i0000000000000000000−1−i1+i−1+i1−i
χ132-2-22-22222-2-2-2−2i−2i2i2i−2i2i00000000000000000001−i−1+i1+i−1−i
χ142-2-22-22222-2-2-2−2i−2i2i2i−2i2i0000000000000000000−1+i1−i−1−i1+i
χ152-2-22-222-2-22-220000002-200000000i2i2−i2−i2i2i2−i2−i200000
χ162-2-22-222-2-22-220000002-200000000−i2−i2i2i2−i2−i2i2i200000
χ172-2-22-222-2-22-22000000-220000000022−2−2−2−22200000
χ182-2-22-222-2-22-22000000-2200000000−2−22222−2−200000
χ194444444-4-4-44-400000000000000000000000000000
χ20444444-4000-400000000022-2-200000000000000000
χ21444444-4000-4000000000-2-22200000000000000000
χ224444-4-40000002222-2-200000000002−22−22−22−200000
χ234444-4-40000002222-2-20000000000−22−22−22−2200000
χ244444-4-4000000-2-2-2-2220000000000i2−i2i2−i2−i2i2−i2i200000
χ254444-4-4000000-2-2-2-2220000000000−i2i2−i2i2i2−i2i2−i200000
χ2644-4-40002-2-2022i2−2i22i2−2i20000002-2i2i2−i2−i20000000000000
χ2744-4-40002-2-2022i2−2i22i2−2i2000000-22−i2−i2i2i20000000000000
χ2844-4-40002-2-202−2i22i2−2i22i20000002-2−i2−i2i2i20000000000000
χ2944-4-40002-2-202−2i22i2−2i22i2000000-22i2i2−i2−i20000000000000
χ304-44-40002-220-222−22−222200002i−2i00i2−i2i2−i20000000000000
χ314-44-40002-220-222−22−22220000−2i2i00−i2i2−i2i20000000000000
χ324-44-40002-220-2−222222−2200002i−2i00−i2i2−i2i20000000000000
χ334-44-40002-220-2−222222−220000−2i2i00i2−i2i2−i20000000000000
χ344-4-444-40000002i2i−2i−2i−2i2i00000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000
χ354-4-444-40000002i2i−2i−2i−2i2i0000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000
χ364-4-444-4000000−2i−2i2i2i2i−2i00000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000
χ374-4-444-4000000−2i−2i2i2i2i−2i0000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000
χ384-4-44-44-4000400000000000002-2-220000000000000
χ394-4-44-44-400040000000000000-222-20000000000000
χ4088-8-8000-4440-400000000000000000000000000000
χ418-88-8000-44-40400000000000000000000000000000

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