Extensions 1→N→G→Q→1 with N=C₃³⋊C₄ and Q=C₄

Direct product G=N×Q with N=C₃³⋊C₄ and Q=C₄

		d	ρ	Label	ID
C₄×C₃³⋊C₄		48	4	C4xC3^3:C4	432,637

Semidirect products G=N:Q with N=C₃³⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊C₄⋊₁C₄ = Dic₃×C₃²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃³⋊C₄	48	8-	C3^3:C4:1C4	432,567
C₃³⋊C₄⋊₂C₄ = C₃³⋊C₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃³⋊C₄	48	4	C3^3:C4:2C4	432,581
C₃³⋊C₄⋊₃C₄ = C₆.PSU₃(𝔽₂)	φ: C₄/C₂ → C₂ ⊆ Out C₃³⋊C₄	48	8	C3^3:C4:3C4	432,592

Non-split extensions G=N.Q with N=C₃³⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊C₄.C₄ = S₃×F₉	φ: C₄/C₁ → C₄ ⊆ Out C₃³⋊C₄	24	16+	C3^3:C4.C4	432,736

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Extensions 1→N→G→Q→1 with N=C33⋊C4 and Q=C4