Finite Group Databasebeta

← Group #285268

Character table — Group #285268

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444448888888888888888816161616161616161616161616161616163232
order12222244444444444444448888888888884444488888888888848
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1111-1-111-1-1-1-1111-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1111111-1111-1-1-1-1111-1-1-1-1-1-11-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-111-11
χ5111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111111-11
χ6111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1111111-1-11-1
χ7111111111111111111-1-111-1-111111111111-1-1-111111-1-11-1-1-1-1-1-1-1
χ8111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111
χ91111111111111-1-111-111-1-111111111-1-1-1-111-1-11-1-1-11-1-1-11-1-1-1-111
χ101111111111111-1-111-111-1-1111111-1-11111-11-1-1-11-1-1-11111-1-111-1-1
χ111111111111111-1-111-111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-11111-1-11-111111-1
χ121111111111111-1-111-111-1-1-1-1-1-1-1-1-1-1111111-1-11-111-111-1-111-1-1-11
χ131111111111111-1-111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-111111111-1-1-1-1-11
χ141111111111111-1-111-1-1-1-1-111-1-1-1-1-1-111111-1111-111-1-1-1-11-1-1111-1
χ151111111111111-1-111-1-1-1-1-1-1-1111111-1-1-1-11-1111-1-1-1111-1-11111-1-1
χ161111111111111-1-111-1-1-1-1-1-1-11111-1-11111-1-111-11-1-1-1-1-11-111-1-111
χ172222222-22-2-2-2222-2-2200-2-2002i2i−2i−2i0000000000002i−2i00000000000
χ182222222-22-2-2-2222-2-2200-2-200−2i−2i2i2i000000000000−2i2i00000000000
χ192222222-22-2-2-22-2-2-2-2-20022002i2i−2i−2i000000000000−2i2i00000000000
χ202222222-22-2-2-22-2-2-2-2-2002200−2i−2i2i2i0000000000002i−2i00000000000
χ21222222-22-2222-200-2-202200222-22-20000000-20000000000-2000000
χ22222222-22-2222-200-2-202200-2-2-22-220000000-200000000002000000
χ23222222-22-2222-200-2-20-2-20022-22-22000000020000000000-2000000
χ24222222-22-2222-200-2-20-2-200-2-22-22-20000000200000000002000000
χ25222222-2-2-2-2-2-2-2002200000002i−2i−2i2i000000002-20000000002i−2i0000
χ26222222-2-2-2-2-2-2-2002200000002i−2i−2i2i00000000-22000000000−2i2i0000
χ27222222-2-2-2-2-2-2-200220000000−2i2i2i−2i000000002-2000000000−2i2i0000
χ28222222-2-2-2-2-2-2-200220000000−2i2i2i−2i00000000-220000000002i−2i0000
χ292222-2-2222-2-22-2222-2-2002-20000000000002000-2200000-20000000
χ302222-2-2222-2-22-2222-2-2002-2000000000000-20002-20000020000000
χ312222-2-2222-2-22-2-2-22-2200-220000000000002000-2-20000020000000
χ322222-2-2222-2-22-2-2-22-2200-22000000000000-20002200000-20000000
χ332222-2-22-2222-2-222-22-200-220000002222-2-200000000-20000000000
χ342222-2-22-2222-2-222-22-200-22000000-2-2-2-2220000000020000000000
χ352222-2-22-2222-2-2-2-2-222002-200000022-2-22200000000-20000000000
χ362222-2-22-2222-2-2-2-2-222002-2000000-2-222-2-20000000020000000000
χ374444-4-4-44-4-4-44400-44000000000000000000000000000000000000
χ384444-4-4-4-4-444-44004-4000000000000000000000000000000000000
χ3944-4-40040-400004-4000000000000022−2222−22000000000000000000000
χ4044-4-40040-400004-40000000000000−2222−2222000000000000000000000
χ4144-4-40040-40000-44000000000000022−22−2222000000000000000000000
χ4244-4-40040-40000-440000000000000−222222−22000000000000000000000
χ434-44-44-40404-4-4000000000000000000000000000000000000022−2200
χ444-44-44-40404-4-40000000000000000000000000000000000000−222200
χ454-44-44-40-40-44400000000000000000000000000000002i2−2i200000000
χ464-44-44-40-40-4440000000000000000000000000000000−2i22i200000000
χ474-44-4-44040-44-40000004-4000000000000000000000000000000000
χ484-44-4-44040-44-4000000-44000000000000000000000000000000000
χ494-44-4-440-404-4400000000004i−4i00000000000000000000000000000
χ504-44-4-440-404-440000000000−4i4i00000000000000000000000000000
χ5188-8-800-80800000000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000004i−4i0000000000000000000
χ538-8-880000000000000000000000000000−4i4i0000000000000000000

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