Finite Group Databasebeta

← Group #278421

Character table — Group #278421

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444444444888888888888161616161616161616161616161632323232
order12222244444444444448888248888888888248888888888882288
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-11-11-1
χ61111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1111-1-1-111-111-11-11
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1111-1-11-1-1-11-11
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1111-11-1
χ91111111111111-1-11-1-111111-1-11-1-11-1-1111111-11-1-11-1-111-1-1-111-1-1
χ101111111111111-1-11-1-111111-1-11-1-11-1-11111-1-111-1-11-1-1-1-1111-1-111
χ111111111111111-1-11-1-111111-1-11-1-11-1-1-1-1-1-111-1-111-11111-1-1-1-1-111
χ121111111111111-1-11-1-111111-1-11-1-11-1-1-1-1-1-1-1-11-111-111-1-111111-1-1
χ131111111111111-1-11-1-11-1-1-1-1-1-1-111-11111-1-111-11-1-1-111-1-1-1111-1-11
χ141111111111111-1-11-1-11-1-1-1-1-1-1-111-11111-1-1-1-111-1-1-111111-1-1-111-1
χ151111111111111-1-11-1-11-1-1-1-1-1-1-111-111-1-11111-1-1111-1-1-1-1-111-111-1
χ161111111111111-1-11-1-11-1-1-1-1-1-1-111-111-1-111-1-11-1111-1-1111-1-11-1-11
χ172222222-222-22-222-222-20000-2-200000000002-2-2000000002000000
χ182222222-222-22-222-222-20000-2-20000000000-22200000000-2000000
χ192222222-222-22-2-2-2-2-2-2-200002200000000002-2200000000-2000000
χ202222222-222-22-2-2-2-2-2-2-20000220000000000-22-2000000002000000
χ21222222-22-2-22-2-200200-222-2-200200-200000000002i−2i02i−2i000000000
χ22222222-22-2-22-2-200200-222-2-200200-20000000000−2i2i0−2i2i000000000
χ23222222-22-2-22-2-200200-2-2-22200-200200000000002i−2i0−2i2i000000000
χ24222222-22-2-22-2-200200-2-2-22200-20020000000000−2i2i02i−2i000000000
χ252222-2-222-2-222-222-2-2-2222-2-2-22-2-2-22220000000000000000000000
χ262222-2-222-2-222-222-2-2-22-2-222-22222-2-2-20000000000000000000000
χ272222-2-222-2-222-2-2-2-222222-2-22-2-2222-2-20000000000000000000000
χ282222-2-222-2-222-2-2-2-2222-2-2222-22-2-2-2220000000000000000000000
χ292222-2-22-2-2-2-222222-2-2-200002-200000000000000000002i−2i02i−2i0000
χ302222-2-22-2-2-2-222222-2-2-200002-20000000000000000000−2i2i0−2i2i0000
χ312222-2-22-2-2-2-222-2-2222-20000-2200000000000000000002i−2i0−2i2i0000
χ322222-2-22-2-2-2-222-2-2222-20000-220000000000000000000−2i2i02i−2i0000
χ332222-2-2-22222-2200-200-2222200-200-2002222000-200-200000000000
χ342222-2-2-22222-2200-200-2222200-200-200-2-2-2-2000200200000000000
χ352222-2-2-22222-2200-200-2-2-2-2-20020020022-2-2000-200200000000000
χ362222-2-2-22222-2200-200-2-2-2-2-200200200-2-222000200-200000000000
χ37444444-4-4-4-4-4-4400-40040000000000000000000000000000000000
χ384444-4-4-4-444-4-4-40040040000000000000000000000000000000000
χ3944-4-44-4404-40-404i−4i04i−4i00000000000000000000000000000000000
χ4044-4-44-4404-40-40−4i4i0−4i4i00000000000000000000000000000000000
χ4144-4-44-4-40-44040000000000000022−22022−220000000000000000000000
χ4244-4-44-4-40-440400000000000000−22220−22220000000000000000000000
χ4344-4-4-4440-440-404i−4i0−4i4i00000000000000000000000000000000000
χ4444-4-4-4440-440-40−4i4i04i−4i00000000000000000000000000000000000
χ4544-4-4-44-404-4040000000000000022−220−22220000000000000000000000
χ4644-4-4-44-404-40400000000000000−2222022−220000000000000000000000
χ474-4-44000-400400000000004-40000000022−2222−22000000000000000000
χ484-4-44000-400400000000004-400000000−2222−2222000000000000000000
χ494-4-44000-40040000000000-440000000022−22−2222000000000000000000
χ504-4-44000-40040000000000-4400000000−222222−22000000000000000000
χ518-88-800000000000000042−4200000000000000000000000000000000
χ528-88-8000000000000000−424200000000000000000000000000000000
χ538-8-88000800-8000000000000000000000000000000000000000000

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