Finite Group Databasebeta

← Group #272284

Character table — Group #272284

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444448888888888888888816161616161616161616161616161616163232
order12222244444444444222444444888888882444488888888888828
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-1
χ31111111111111111111-111-1-11-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-11-1
χ41111111111111111111-111-1-11-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-11111-11
χ511111111111111111-1-11111111-1-111111111-1-1-1-1-1111-1-1-1-1-111-1-1
χ611111111111111111-1-11111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-111-1-111
χ711111111111111111-1-1-111-1-11-111111111-1-1-1-1-1-1-11-1-111111-1-1-11
χ811111111111111111-1-1-111-1-11-111-1-1-1-1-1-1-1-1-1-1-111-111111-1-1111-1
χ91111111111111-1-111111-1-111-111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111
χ101111111111111-1-111111-1-111-1111-1-11111-1-11-1-111-1-1-11-1-11111-1-1
χ111111111111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11-1-1-11111111-1
χ121111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111111-1-111-111-111-1-1-1-1-11
χ131111111111111-1-111-1-11-1-111-11-1-111-1-1-1-1-1-1-11111111-11111-1-1-1-1
χ141111111111111-1-111-1-11-1-111-11-1-1-1-11111-1-1-111-1-1-1-1-1-111-1-11111
χ151111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-111111-1-11-1-1-1-111-11
χ161111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1111-1-111-1-11-1
χ172222222-22-222-200-2-2222002-20-2-2-200000000-20000000200000000
χ182222222-22-222-200-2-222-200-22022200000000-20000000-200000000
χ192222222-22-222-200-2-2-2-22002-20-2220000000020000000-200000000
χ202222222-22-222-200-2-2-2-2-200-2202-2-20000000020000000200000000
χ21222222-22-22-2-2222-2-2000-2-2002000000000000000002i−2i000002i−2i00
χ22222222-22-22-2-2222-2-2000-2-200200000000000000000−2i2i00000−2i2i00
χ23222222-22-22-2-22-2-2-2-20002200-2000000000000000002i−2i00000−2i2i00
χ24222222-22-22-2-22-2-2-2-20002200-200000000000000000−2i2i000002i−2i00
χ252222-2-222-222-2-222-220002-200-20002222-2-20000000-200000000000
χ262222-2-222-222-2-222-220002-200-2000-2-2-2-2220000000200000000000
χ272222-2-222-222-2-2-2-2-22000-2200200022-2-2220000000-200000000000
χ282222-2-222-222-2-2-2-2-22000-22002000-2-222-2-20000000200000000000
χ292222-2-2-2222-22-2222-2002-22-2-2-22000000002-200000000000000000
χ302222-2-2-2222-22-2222-200-2-2222-2-200000000-2200000000000000000
χ312222-2-2-2222-22-2-2-22-20022-2-2-22200000000-2200000000000000000
χ322222-2-2-2222-22-2-2-22-200-22-2222-2000000002-200000000000000000
χ332222-2-2-2-22-2-22200-2200200-220-2000000000002-20000002-2000000
χ342222-2-2-2-22-2-22200-2200200-220-200000000000-22000000-22000000
χ352222-2-2-2-22-2-22200-2200-2002-202000000000002-2000000-22000000
χ362222-2-2-2-22-2-22200-2200-2002-20200000000000-220000002-2000000
χ37444444-4-4-4-4-4-4-40044000000000000000000000000000000000000
χ384444-4-44-4-4-44-44004-4000000000000000000000000000000000000
χ3944-4-44-44040-4-40000000000000000000000000000000000022−220000
χ4044-4-44-44040-4-400000000000000000000000000000000000−22220000
χ4144-4-44-4-40-4044000004-40000000000000000000000000000000000
χ4244-4-44-4-40-404400000-440000000000000000000000000000000000
χ4344-4-4-4440-40-44000000000000004i−4i0000000000000000000000000
χ4444-4-4-4440-40-4400000000000000−4i4i0000000000000000000000000
χ4544-4-4-44-40404-40000000000000000000000000002i2−2i2000000000000
χ4644-4-4-44-40404-4000000000000000000000000000−2i22i2000000000000
χ474-4-44000-4040004-4000000000000022−2222−22000000000000000000000
χ484-4-44000-4040004-40000000000000−2222−2222000000000000000000000
χ494-4-44000-404000-44000000000000022−22−2222000000000000000000000
χ504-4-44000-404000-440000000000000−222222−22000000000000000000000
χ518-88-800000000000000000000000000004i−4i0000000000000000000
χ528-88-80000000000000000000000000000−4i4i0000000000000000000
χ538-8-8800080-80000000000000000000000000000000000000000000

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