Extensions 1→N→G→Q→1 with N=C₃³⋊C₄ and Q=C₂²

Direct product G=N×Q with N=C₃³⋊C₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₃³⋊C₄		48		C2^2xC3^3:C4	432,766

Semidirect products G=N:Q with N=C₃³⋊C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊C₄⋊C₂² = S₃×S₃≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊C₄	12	8+	C3^3:C4:C2^2	432,741
C₃³⋊C₄⋊₂C₂² = C₂×S₃×C₃²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊C₄	24	8+	C3^3:C4:2C2^2	432,753
C₃³⋊C₄⋊₃C₂² = C₂×C₃³⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊C₄	24	4	C3^3:C4:3C2^2	432,755

Non-split extensions G=N.Q with N=C₃³⋊C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊C₄.C₂² = S₃×PSU₃(𝔽₂)	φ: C₂²/C₁ → C₂² ⊆ Out C₃³⋊C₄	24	16+	C3^3:C4.C2^2	432,742
C₃³⋊C₄.₂C₂² = C₂×C₃³⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃³⋊C₄	48	8	C3^3:C4.2C2^2	432,758

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Extensions 1→N→G→Q→1 with N=C33⋊C4 and Q=C22