Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄₂

Direct product G=N×Q with N=C₃ and Q=D₄₂

		d	ρ	Label	ID
C₆×D₂₁		84	2	C6xD21	252,43

Semidirect products G=N:Q with N=C₃ and Q=D₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁D₄₂ = S₃×D₂₁	φ: D₄₂/D₂₁ → C₂ ⊆ Aut C₃	42	4+	C3:1D42	252,36
C₃⋊₂D₄₂ = C₂×C₃⋊D₂₁	φ: D₄₂/C₄₂ → C₂ ⊆ Aut C₃	126		C3:2D42	252,45

Non-split extensions G=N.Q with N=C₃ and Q=D₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.D₄₂ = D₁₂₆	φ: D₄₂/C₄₂ → C₂ ⊆ Aut C₃	126	2+	C3.D42	252,14

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=D42