Extensions 1→N→G→Q→1 with N=C₂² and Q=D₅₁

Direct product G=N×Q with N=C₂² and Q=D₅₁

		d	ρ	Label	ID
C₂²×D₅₁		204		C2^2xD51	408,45

Semidirect products G=N:Q with N=C₂² and Q=D₅₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊D₅₁ = C₁₇⋊S₄	φ: D₅₁/C₁₇ → S₃ ⊆ Aut C₂²	68	6+	C2^2:D51	408,37
C₂²⋊₂D₅₁ = C₅₁⋊₇D₄	φ: D₅₁/C₅₁ → C₂ ⊆ Aut C₂²	204	2	C2^2:2D51	408,29

Non-split extensions G=N.Q with N=C₂² and Q=D₅₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².D₅₁ = C₂×Dic₅₁	central extension (φ=1)	408		C2^2.D51	408,28

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=D51