Finite Group Databasebeta

← Group #285338

Character table — Group #285338

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444448888888888888888816161616161616161616161616161616163232
order12222244444444444444448888888888882244488888888888848
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111-1-1-111-1-1-1-1111-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1111-1-1-1-1-1-11-1
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
χ6111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-11-1
χ7111111111111111111-1-111-1-11111111111-1-1-1111111-1-11-1-1-1-1-1-1-1
χ8111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111
χ9111111111111-1-1111-111-1-111111111-1-1-1-1-1-1111-1-1-11-1-1-11-1-1-1-111
χ10111111111111-1-1111-111-1-1111111-1-11111-1-11-1-11-1-1-11111-1-111-1-1
χ11111111111111-1-1111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-1-11-111111-1
χ12111111111111-1-1111-111-1-1-1-1-1-1-1-1-1-11111-1-1111-111-111-1-111-1-1-11
χ13111111111111-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-111111111-1-1-1-1-11
χ14111111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-111-111-1-1-1-11-1-1111-1
χ15111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-111-111-1-1-1111-1-11111-1-1
χ16111111111111-1-1111-1-1-1-1-1-1-11111-1-1111111-1-1-11-1-1-1-1-11-111-1-111
χ172222222-222-2200-2-2-2022002222-2-200000000-2000000000-2000000
χ182222222-222-2200-2-2-202200-2-2-2-22200000000-20000000002000000
χ192222222-222-2200-2-2-20-2-20022-2-222000000002000000000-2000000
χ202222222-222-2200-2-2-20-2-200-2-222-2-20000000020000000002000000
χ21222222-22-2-22-2222-2-2200-2-2002i−2i2i−2i0000000000002i−2i00000000000
χ22222222-22-2-22-2222-2-2200-2-200−2i2i−2i2i000000000000−2i2i00000000000
χ23222222-22-2-22-2-2-22-2-2-20022002i−2i2i−2i000000000000−2i2i00000000000
χ24222222-22-2-22-2-2-22-2-2-2002200−2i2i−2i2i0000000000002i−2i00000000000
χ25222222-2-2-2-2-2-200-22200000002i−2i−2i2i0000002-2000000000002i−2i0000
χ26222222-2-2-2-2-2-200-22200000002i−2i−2i2i000000-2200000000000−2i2i0000
χ27222222-2-2-2-2-2-200-2220000000−2i2i2i−2i0000002-200000000000−2i2i0000
χ28222222-2-2-2-2-2-200-2220000000−2i2i2i−2i000000-22000000000002i−2i0000
χ292222-2-222-2-22222-22-2-2002-20000000000000002-2200000-20000000
χ302222-2-222-2-22222-22-2-2002-2000000000000000-22-20000020000000
χ312222-2-222-2-222-2-2-22-2200-220000000000000002-2-20000020000000
χ322222-2-222-2-222-2-2-22-2200-22000000000000000-22200000-20000000
χ332222-2-2-22222-222-2-22-200-220000002222-2-200000000-20000000000
χ342222-2-2-22222-222-2-22-200-22000000-2-2-2-2220000000020000000000
χ352222-2-2-22222-2-2-2-2-222002-200000022-2-22200000000-20000000000
χ362222-2-2-22222-2-2-2-2-222002-2000000-2-222-2-20000000020000000000
χ374444-4-44-4-4-4-44004-44000000000000000000000000000000000000
χ384444-4-4-4-444-4-40044-4000000000000000000000000000000000000
χ3944-4-44-4404-40-4000000000000000000000000000000022−2200000000
χ4044-4-44-4404-40-40000000000000000000000000000000−222200000000
χ4144-4-44-4-40-440400000000000000000000000000000000000002i2−2i200
χ4244-4-44-4-40-44040000000000000000000000000000000000000−2i22i200
χ4344-4-4-4440-440-400000000004-400000000000000000000000000000
χ4444-4-4-4440-440-40000000000-4400000000000000000000000000000
χ4544-4-4-44-404-4040000004i−4i000000000000000000000000000000000
χ4644-4-4-44-404-404000000−4i4i000000000000000000000000000000000
χ474-4-44000400-404i−4i000000000000002i2−2i222−22000000000000000000000
χ484-4-44000400-404i−4i00000000000000−2i22i2−2222000000000000000000000
χ494-4-44000400-40−4i4i000000000000002i2−2i2−2222000000000000000000000
χ504-4-44000400-40−4i4i00000000000000−2i22i222−22000000000000000000000
χ518-88-800000000000000000000000000004i−4i0000000000000000000
χ528-88-80000000000000000000000000000−4i4i0000000000000000000
χ538-8-88000-8008000000000000000000000000000000000000000000

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