Finite Group Databasebeta

← Group #278366

Character table — Group #278366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222224444444448888888881616161616161616161616161616161632323232
order12222244444444488888824448888844448888888888882488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-11-1-111-1-11111-1-111-1-1-1-111-1-1
χ6111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111111-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1111111-1-1
χ9111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-11-1-1-1111-111-1-11-1-11
χ10111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-11-1-111-11-1-111-111-1
χ11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-111-1-11-111-1-1-111-1
χ12111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1111-1-1-11-1-1111-1-11
χ13111111111111111-1-1-1-1-1-1-1-1-1-111-11111111-1-1-1-1-11-1-1-1111-11-1
χ14111111111111111-1-1-1-1-1-1-1-1-1-111-1111111-11-1-1-1-1-1111-1-1-11-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11-111111-1-1-111-11-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111111-1111-1-11-11-1
χ1722222222-222-2-2-2-22222-2-222-2-222-2-2-200000000000000000000
χ1822222222-222-2-2-2-22222-2-2-2-222-2-2-22200000000000000000000
χ1922222222-222-2-2-2-2-2-2-2-22222-2-2-2-222200000000000000000000
χ2022222222-222-2-2-2-2-2-2-2-222-2-222222-2-200000000000000000000
χ212222-2-22-222-22-22-20000002-22-2000002-20000002-20000000000
χ222222-2-22-222-22-22-20000002-22-200000-22000000-220000000000
χ232222-2-22-222-22-22-2000000-22-22000002-2000000-220000000000
χ242222-2-22-222-22-22-2000000-22-2200000-220000002-20000000000
χ252222-2-22-2-22-2-22-220000002-2-2200000002i−2i002i−2i000000000000
χ262222-2-22-2-22-2-22-220000002-2-220000000−2i2i00−2i2i000000000000
χ272222-2-22-2-22-2-22-22000000-222-200000002i−2i00−2i2i000000000000
χ282222-2-22-2-22-2-22-22000000-222-20000000−2i2i002i−2i000000000000
χ292222-2-2-222-222-2-2222-2-222000000-2000000220000-2-200000000
χ302222-2-2-222-222-2-2222-2-222000000-2000000-2-200002200000000
χ312222-2-2-222-222-2-22-2-222-2-200000020000002-20000-2200000000
χ322222-2-2-222-222-2-22-2-222-2-20000002000000-2200002-200000000
χ332222-2-2-22-2-22-222-222-2-2-2-20000002000000000000002i−2i2i−2i0000
χ342222-2-2-22-2-22-222-222-2-2-2-2000000200000000000000−2i2i−2i2i0000
χ352222-2-2-22-2-22-222-2-2-22222000000-2000000000000002i−2i−2i2i0000
χ362222-2-2-22-2-22-222-2-2-22222000000-200000000000000−2i2i2i−2i0000
χ37444444-4-44-4-444-4-400000000000000000000000000000000000
χ38444444-4-4-4-4-4-4-44400000000000000000000000000000000000
χ3944-4-44-4440-4-4000000000000004-400000000000000000000000
χ4044-4-44-4440-4-400000000000000-4400000000000000000000000
χ4144-4-44-4-4-404400004i−4i4i−4i0000000000000000000000000000000
χ4244-4-44-4-4-40440000−4i4i−4i4i0000000000000000000000000000000
χ4344-4-4-444-40-4400004i−4i−4i4i0000000000000000000000000000000
χ4444-4-4-444-40-440000−4i4i4i−4i0000000000000000000000000000000
χ4544-4-4-44-4404-4000000000000000004i−4i00000000000000000000
χ4644-4-4-44-4404-400000000000000000−4i4i00000000000000000000
χ478-88-80000800-800000000000000000000000000000000000000
χ488-88-80000-800800000000000000000000000000000000000000
χ498-8-8800000000000000042−4200000000000000000000000000000
χ508-8-88000000000000000−424200000000000000000000000000000

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