Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₃⋊S₃

Direct product G=N×Q with N=C₂²⋊C₄ and Q=C₃⋊S₃

		d	ρ	Label	ID
C₂²⋊C₄×C₃⋊S₃		72		C2^2:C4xC3:S3	288,737

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁(C₃⋊S₃) = C₆².₁₁₀D₄	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	72		C2^2:C4:1(C3:S3)	288,281
C₂²⋊C₄⋊₂(C₃⋊S₃) = C₆²⋊₁₂D₄	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	72		C2^2:C4:2(C3:S3)	288,739
C₂²⋊C₄⋊₃(C₃⋊S₃) = C₆².₂₂₇C₂³	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4:3(C3:S3)	288,740
C₂²⋊C₄⋊₄(C₃⋊S₃) = C₆².₂₂₈C₂³	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4:4(C3:S3)	288,741
C₂²⋊C₄⋊₅(C₃⋊S₃) = C₆².₂₂₉C₂³	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4:5(C3:S3)	288,742
C₂²⋊C₄⋊₆(C₃⋊S₃) = C₆².₆₉D₄	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4:6(C3:S3)	288,743
C₂²⋊C₄⋊₇(C₃⋊S₃) = C₆².₂₂₅C₂³	φ: trivial image	144		C2^2:C4:7(C3:S3)	288,738

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁(C₃⋊S₃) = C₆²⋊₆Q₈	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4.1(C3:S3)	288,735
C₂²⋊C₄.₂(C₃⋊S₃) = C₆².₂₂₃C₂³	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4.2(C3:S3)	288,736
C₂²⋊C₄.₃(C₃⋊S₃) = C₆².₂₂₁C₂³	φ: trivial image	144		C2^2:C4.3(C3:S3)	288,734

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