Finite Group Databasebeta

← Group #306052

Character table — Group #306052

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1111-1111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111-1-1-11-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111-1-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-111-111-1-111-11
χ71111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11-1111-1-11-1-1-1-111-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111111-1-11-1
χ911111111111111111-1-1-1-111111-1-111111111-1-1-1-1111111-11-1-1-1-1-11-1-11111-1-1
χ1011111111111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111-1-1-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-111-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-11111-1-1-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111111-1-1111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-11111-1-111-1-1-11
χ172222222222-22-2-2-22-22222-20000-2-2000000220000-2-20000-2000200000000000
χ182222222222-22-2-2-22-22222-20000-2-2000000-2-200002200002000-200000000000
χ192222222222-22-2-2-22-2-2-2-2-2-2000022000000220000-2-200002000-200000000000
χ202222222222-22-2-2-22-2-2-2-2-2-2000022000000-2-20000220000-2000200000000000
χ2122222222-2-22-2222-2-20000-22222002222-2-20000000000000-200000-200000000
χ2222222222-2-22-2222-2-20000-2222200-2-2-2-2-2-20000000000000200000200000000
χ2322222222-2-22-2222-2-20000-2-2-2-2-20022-2-2220000000000000-200000200000000
χ2422222222-2-22-2222-2-20000-2-2-2-2-200-2-222220000000000000200000-200000000
χ25222-22-2-2-2222-2-22-2-2-222-2-2200002-20000000000000022-2-2000000002-2000000
χ26222-22-2-2-2222-2-22-2-2-222-2-2200002-200000000000000-2-22200000000-22000000
χ27222-22-2-2-2222-2-22-2-2-2-2-22220000-220000000000000022-2-200000000-22000000
χ28222-22-2-2-2222-2-22-2-2-2-2-22220000-2200000000000000-2-222000000002-2000000
χ29222-22-2-2-222-2-22-22-2222-2-2-222-2-2-2200002-20022-2-20000000000000000000000
χ30222-22-2-2-222-2-22-22-2222-2-2-2-2-222-220000-2200-2-2220000000000000000000000
χ31222-22-2-2-222-2-22-22-22-2-222-222-2-22-200002-200-2-2220000000000000000000000
χ32222-22-2-2-222-2-22-22-22-2-222-2-2-2222-20000-220022-2-20000000000000000000000
χ33222-22-2-2-2-2-2-222-222-20000222-2-2000000-22000000000000002i−2i02i−2i000000000
χ34222-22-2-2-2-2-2-222-222-20000222-2-2000000-2200000000000000−2i2i0−2i2i000000000
χ35222-22-2-2-2-2-2-222-222-200002-2-2220000002-2000000000000002i−2i0−2i2i000000000
χ36222-22-2-2-2-2-2-222-222-200002-2-2220000002-200000000000000−2i2i02i−2i000000000
χ3744444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ38444-44-4-4-4-4-444-44-4440000-40000000000000000000000000000000000000000
χ3944-44-44-4-40000000000000022−2222−220000000022−220000002-22-20000000000000000
χ4044-44-44-4-40000000000000022−2222−2200000000−2222000000-22-220000000000000000
χ4144-44-44-4-400000000000000−2222−22220000000022−22000000-22-220000000000000000
χ4244-44-44-4-400000000000000−2222−222200000000−22220000002-22-20000000000000000
χ4344-4-4-4-4440000000000000022−22−22220000000000000022−222-2-220000000000000000
χ4444-4-4-4-4440000000000000022−22−222200000000000000−2222-222-20000000000000000
χ4544-4-4-4-44400000000000000−222222−220000000000000022−22-222-20000000000000000
χ4644-4-4-4-44400000000000000−222222−2200000000000000−22222-2-220000000000000000
χ474-444-4-44-44-404000-40000000000000000000022−2222−220000000000000000000000
χ484-444-4-44-44-404000-400000000000000000000−2222−22220000000000000000000000
χ494-444-4-44-4-440-4000404i−4i4i−4i00000000000000000000000000000000000000000
χ504-444-4-44-4-440-400040−4i4i−4i4i00000000000000000000000000000000000000000
χ514-44-4-44-444-40-400040000000000000000000022−22−22220000000000000000000000
χ524-44-4-44-444-40-4000400000000000000000000−222222−220000000000000000000000
χ534-44-4-44-44-4404000-404i−4i−4i4i00000000000000000000000000000000000000000
χ544-44-4-44-44-4404000-40−4i4i4i−4i00000000000000000000000000000000000000000
χ554-4-444-4-4400404-4-40000000000000004i−4i000000000000000000000000000000
χ564-4-444-4-4400404-4-4000000000000000−4i4i000000000000000000000000000000
χ574-4-444-4-4400-40-444000000000000000000000000000000000000000000022−2200
χ584-4-444-4-4400-40-4440000000000000000000000000000000000000000000−222200
χ594-4-4-4444-40040-4-44000000000000000000000000000000000000000002i2−2i20000
χ604-4-4-4444-40040-4-4400000000000000000000000000000000000000000−2i22i20000
χ614-4-4-4444-400-4044-400000000000004i−4i00000000000000000000000000000000
χ624-4-4-4444-400-4044-40000000000000−4i4i00000000000000000000000000000000

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