Extensions 1→N→G→Q→1 with N=C₅₁ and Q=C₂²

Direct product G=N×Q with N=C₅₁ and Q=C₂²

		d	ρ	Label	ID
C₂×C₁₀₂		204		C2xC102	204,12

Semidirect products G=N:Q with N=C₅₁ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₁⋊C₂² = S₃×D₁₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₅₁	51	4+	C51:C2^2	204,7
C₅₁⋊₂C₂² = D₁₀₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₅₁	102	2+	C51:2C2^2	204,11
C₅₁⋊₃C₂² = C₆×D₁₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₅₁	102	2	C51:3C2^2	204,9
C₅₁⋊₄C₂² = S₃×C₃₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₅₁	102	2	C51:4C2^2	204,10

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁