Finite Group Databasebeta

← Group #251990

Character table — Group #251990

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111224444448888888888881616161616161616161616161616161632323232
order12222222444444444444444422444444444444448888
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-11-11111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-111-1-11-1111-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111-1-11111-11-11-1-11-1-1-1-1-111-1-1
χ61111111111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-11-11111-1-111
χ71111111111111111-1-1-1-1-1-111-111-11111-1-1-11-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-111-1-1-1-11-11-1-1-1-11111111-1-1
χ9111111111111-1-1-1-1111111-1-1-11-1-11-111-1-11-111-1-11-11-1
χ10111111111111-1-1-1-1111111-1-1-1-11-1111-1-1-11-1-1-111-11-11
χ11111111111111-1-1-1-11111-1-11111-11-1-1-11-1-1-1111-1-1-11-11
χ12111111111111-1-1-1-11111-1-1111-111-11-1-1-1-1-11-1-1111-11-1
χ13111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-111111-1-1111-1-11
χ14111111111111-1-1-1-1-1-1-1-11111-1-11-1-11-1-1111111-1-1-111-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-111-111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111111-111-1-111-1-11-1-11
χ1722222222-2-2-2-222-2-222-2-20000000000002-20000000000
χ1822222222-2-2-2-222-2-2-2-222000000000000-220000000000
χ1922222222-2-2-2-2-2-22222-2-2000000000000-220000000000
χ2022222222-2-2-2-2-2-222-2-2220000000000002-20000000000
χ21222222-2-222-2-22-22-200000022000020-20000-200000000
χ22222222-2-222-2-22-22-2000000-2-20000-2020000200000000
χ23222222-2-222-2-2-22-22000000220000-2020000-200000000
χ24222222-2-222-2-2-22-22000000-2-2000020-20000200000000
χ25222222-2-2-2-2222-2-2200002200200-2000000-2000000000
χ26222222-2-2-2-2222-2-220000-2-200-20020000002000000000
χ27222222-2-2-2-222-222-200002200-2002000000-2000000000
χ28222222-2-2-2-222-222-20000-2-200200-20000002000000000
χ292222-2-22-22-22-200002i−2i2i−2i000000200-2000000002i−2i0000
χ302222-2-22-22-22-200002i−2i2i−2i000000-200200000000−2i2i0000
χ312222-2-22-22-22-20000−2i2i−2i2i000000200-200000000−2i2i0000
χ322222-2-22-22-22-20000−2i2i−2i2i000000-2002000000002i−2i0000
χ332222-2-22-2-22-2200002i−2i−2i2i00000200000-200002i−2i000000
χ342222-2-22-2-22-2200002i−2i−2i2i00000-20000020000−2i2i000000
χ352222-2-22-2-22-220000−2i2i2i−2i00000200000-20000−2i2i000000
χ362222-2-22-2-22-220000−2i2i2i−2i00000-200000200002i−2i000000
χ374444-4-4-444-4-4400000000000000000000000000000000
χ384444-4-4-44-444-400000000000000000000000000000000
χ3988-8-80000000000000000004-400000000000000000000
χ4088-8-8000000000000000000-4400000000000000000000
χ418-88-800000000000000004i−4i0000000000000000000000
χ428-88-80000000000000000−4i4i0000000000000000000000
χ438-8-888-800000000000000000000000000000000000000
χ448-8-88-8800000000000000000000000000000000000000

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