Finite Group Databasebeta

← Group #283816

Character table — Group #283816

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244488888888888888161616161616161616161616161616161616163232
order12222244444444424444444888888224444888888888888848
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111-1-1-111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111-1-111-1-1-11-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111111-1-1
χ51111111111111111111-1-1-1-1-1-1111111-1-1111-1-1-111111-1-1-1-1-1-1
χ61111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111111
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1111-1-1-1-111
χ9111111111111111-1-1-1-11111-1-1111111-1-1-1-1-111-1-1-111-111-1-11-1
χ10111111111111111-1-1-1-11111-1-11111-1-1-1-111111-1-1-1-1-11-1-111-11
χ11111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11-1-1-111-1-11-1-1111-1
χ12111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11
χ13111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-11-1-111-1-1-111-11
χ14111111111111111-1-1-1-1-1-1-1-1111111-1-111111-1-11-1-1-1-1111-1-11-1
χ15111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1111-1-1-11
χ16111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11111111-1-1-1111-1
χ1722222222-222-2-2-2-222-2-222-2-2220000000000000-200000000000
χ1822222222-222-2-2-2-222-2-2-2-222-2-20000000000000200000000000
χ1922222222-222-2-2-2-2-2-22222-2-2-2-20000000000000200000000000
χ2022222222-222-2-2-2-2-2-222-2-222220000000000000-200000000000
χ21222222-2-2-2-2-2-22-2200000000002i2i−2i−2i2-200000000002i−2i0000000
χ22222222-2-2-2-2-2-22-2200000000002i2i−2i−2i-220000000000−2i2i0000000
χ23222222-2-2-2-2-2-22-220000000000−2i−2i2i2i2-20000000000−2i2i0000000
χ24222222-2-2-2-2-2-22-220000000000−2i−2i2i2i-2200000000002i−2i0000000
χ252222-2-22-222-22-2-222-22-20000000000002-20002-2000000000000
χ262222-2-22-222-22-2-222-22-2000000000000-22000-22000000000000
χ272222-2-22-222-22-2-22-22-220000000000002-2000-22000000000000
χ282222-2-22-222-22-2-22-22-22000000000000-220002-2000000000000
χ292222-2-22-2-22-2-222-22-2-220000002i−2i2i−2i00000000002i−2i000000000
χ302222-2-22-2-22-2-222-22-2-22000000−2i2i−2i2i0000000000−2i2i000000000
χ312222-2-22-2-22-2-222-2-222-20000002i−2i2i−2i0000000000−2i2i000000000
χ322222-2-22-2-22-2-222-2-222-2000000−2i2i−2i2i00000000002i−2i000000000
χ332222-2-2-222-2222-2-200000000002-2-2200002-220000000-2000000
χ342222-2-2-222-2222-2-200000000002-2-220000-22-200000002000000
χ352222-2-2-222-2222-2-20000000000-222-200002-2-200000002000000
χ362222-2-2-222-2222-2-20000000000-222-20000-2220000000-2000000
χ37444444-4-44-4-44-44-400000000000000000000000000000000000
χ384444-4-4-44-4-44-4-44400000000000000000000000000000000000
χ3944-4-44-4440-4-4000000004-400000000000000000000000000000
χ4044-4-44-4440-4-400000000-4400000000000000000000000000000
χ4144-4-44-4-4-404400000000000000000000000000000000022−220000
χ4244-4-44-4-4-4044000000000000000000000000000000000−22220000
χ4344-4-4-444-40-440000000000004i−4i0000000000000000000000000
χ4444-4-4-444-40-44000000000000−4i4i0000000000000000000000000
χ4544-4-4-44-4404-4000000000000000000000000000000000002i2−2i200
χ4644-4-4-44-4404-400000000000000000000000000000000000−2i22i200
χ478-88-8000000000000000004i−4i000000000000000000000000000
χ488-88-800000000000000000−4i4i000000000000000000000000000
χ498-8-880000800-800000000000000000000000000000000000000
χ508-8-880000-800800000000000000000000000000000000000000

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