Finite Group Databasebeta

← Group #339694

Character table — Group #339694

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444444448888888888884444444488888888444
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111-1111-111-1-1-1-1-1-1-11-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1-111111-11-1-1-1-1-1-111-1-11
χ41111111111111111111111-1-1-1-1-1-1-1-11111-111-111-1-1-1-11111-1-11-1-1
χ511111111111111111111-1-1111111111111-1-1-111-1-111111-1-1-1-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111111-11
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-111-111-1-1-1-111-1-111-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-11-11-1-1-111-1-111-111
χ9111111111111111111-1-1111111111111111-1-1-1-111-1-1-1-1-11111-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-11-1-11-1111-1-111-1-1-1-11-11
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1
χ12111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-11-11-1111-1-111-1-1-111
χ13111111111111111111-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-11-1-1111111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11-1111111-1-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111-1-1
χ17222222222-2-22-2-222-2-22200000022-2-200000002-200-200000000000
χ18222222222-2-22-2-222-2-222000000-2-2220000000-2-200200000000000
χ19222222222-2-22-2-222-2-2-2-200000022-2-20000000-2200200000000000
χ20222222222-2-22-2-222-2-2-2-2000000-2-22200000002200-200000000000
χ2122222222-222-222-2-2-2-2002222-2-20000000020000-2-2000000000000
χ2222222222-222-222-2-2-2-20022-2-22200000000-20000-22000000000000
χ2322222222-222-222-2-2-2-200-2-222-2-200000000-2000022000000000000
χ2422222222-222-222-2-2-2-200-2-2-2-22200000000200002-2000000000000
χ25222-2-2-22-2-2-2-2222-22-22000000000000000002i−2i00000002-22i−2i00000
χ26222-2-2-22-2-2-2-2222-22-22000000000000000002i−2i0000000-22−2i2i00000
χ27222-2-2-22-2-2-2-2222-22-2200000000000000000−2i2i00000002-2−2i2i00000
χ28222-2-2-22-2-2-2-2222-22-2200000000000000000−2i2i0000000-222i−2i00000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-4-4-44-4444-4-4-44-4-4400000000000000000000000000000000000
χ31444-4-4-44-44-4-4-4444-44-400000000000000000000000000000000000
χ32444-4-4-44-4-4444-4-4-444-400000000000000000000000000000000000
χ3344-444-4-4-404-404-4000000000000000000000000000000000022−22000
χ3444-444-4-4-404-404-40000000000000000000000000000000000−2222000
χ3544-444-4-4-40-440-440000004-40000000000000000000000000000000
χ3644-444-4-4-40-440-44000000-440000000000000000000000000000000
χ3744-4-4-44-4404-40-4400000000000000002i22i2−2i2−2i20000000000000000000
χ3844-4-4-44-4404-40-440000000000000000−2i2−2i22i22i20000000000000000000
χ3944-4-4-44-440-4404-400000000004i−4i000000000000000000000000000
χ4044-4-4-44-440-4404-40000000000−4i4i000000000000000000000000000
χ414-444-4-4-440000000000000022−22002i2−2i2002i−2i2i−2i0000000000000000000
χ424-444-4-4-440000000000000022−2200−2i22i200−2i2i−2i2i0000000000000000000
χ434-444-4-4-4400000000000000−2222002i2−2i200−2i2i−2i2i0000000000000000000
χ444-444-4-4-4400000000000000−222200−2i22i2002i−2i2i−2i0000000000000000000
χ454-4-44-444-4400-400-44004i−4i000000000000000000000000000000000
χ464-4-44-444-4400-400-4400−4i4i000000000000000000000000000000000
χ474-4-44-444-4-4004004-4000000000000000000000000002i2−2i2000000000
χ484-4-44-444-4-4004004-400000000000000000000000000−2i22i2000000000
χ494-4-4-44-444400400-4-40000000000004i−4i00000000000000000000000
χ504-4-4-44-444400400-4-4000000000000−4i4i00000000000000000000000
χ514-4-4-44-444-400-400440000000000000022−22−22220000000000000000000
χ524-4-4-44-444-400-4004400000000000000−222222−220000000000000000000
χ538-88-888-8-8000000000000000000000000000000000000000000000

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