Finite Group Databasebeta

← Group #246397

Character table — Group #246397

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111224444448888888888881616161616161616161616161616161632323232
order12222222444422444444444422224444444488884488
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111-11-11-1-1111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11-1-11-11111-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111-1-1-11-11-11-11111-1-1-1-1-111-1-1
χ61111111111111111-1-1-1-111-1-1-11-1-1-1-1-1-1-111-11111-1-111
χ71111111111111111-1-1-1-1-1-111-1-11111-111-1-11-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-111-1-11-11-1-1-1-1-1-11111111-1-1
χ9111111111111-1-1-1-1111111-1-1-11111-1-11-1-1-1-111-1-11-11-1
χ10111111111111-1-1-1-1111111-1-1-111-111-1-11-1-1-1-1-111-11-11
χ11111111111111-1-1-1-11111-1-111-1-1-11-1-1-11-111111-1-1-11-11
χ12111111111111-1-1-1-11111-1-111-1-1-1-1-11-1-11111-1-1111-11-1
χ13111111111111-1-1-1-1-1-1-1-1111111-11-1-111-1-1-11-1-1111-1-11
χ14111111111111-1-1-1-1-1-1-1-1111111-1-1-111-11-1-1111-1-1-111-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-111-111-1-1-111-111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-1111-111-1-11-1-11
χ1722222222-2-2-2-22-22-2000022000-200000002-2000000000
χ1822222222-2-2-2-22-22-20000-2-200020000000-22000000000
χ1922222222-2-2-2-2-22-22000022000-20000000-22000000000
χ2022222222-2-2-2-2-22-220000-2-2000200000002-2000000000
χ21222222-2-22-2-222-2-2222-2-20000200000-20000000000000
χ22222222-2-22-2-222-2-22-2-2220000-20000020000000000000
χ23222222-2-22-2-22-222-222-2-20000-20000020000000000000
χ24222222-2-22-2-22-222-2-2-2220000200000-20000000000000
χ25222222-2-2-222-222-2-2000000220020-2000000-200000000
χ26222222-2-2-222-222-2-2000000-2-200-202000000200000000
χ27222222-2-2-222-2-2-2220000002200-202000000-200000000
χ28222222-2-2-222-2-2-222000000-2-20020-2000000200000000
χ292222-2-22-2-22-2200002-22-2000000000200-2000002-20000
χ302222-2-22-2-22-2200002-22-2000000000-200200000-220000
χ312222-2-22-2-22-220000-22-22000000000200-200000-220000
χ322222-2-22-2-22-220000-22-22000000000-2002000002-20000
χ332222-2-2-22-2-22200002-2-2200000002000-200002-2000000
χ342222-2-2-22-2-22200002-2-220000000-200020000-22000000
χ352222-2-2-22-2-2220000-222-200000002000-20000-22000000
χ362222-2-2-22-2-2220000-222-20000000-2000200002-2000000
χ374444-4-44-44-44-400000000000000000000000000000000
χ384444-4-4-4444-4-400000000000000000000000000000000
χ3988-8-800000000000000004i−4i0000000000000000000000
χ4088-8-80000000000000000−4i4i0000000000000000000000
χ418-88-80000000000000000004-400000000000000000000
χ428-88-8000000000000000000-4400000000000000000000
χ438-8-888-800000000000000000000000000000000000000
χ448-8-88-8800000000000000000000000000000000000000

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