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
C₃×S₃×C₂²⋊C₄		48		C3xS3xC2^2:C4	288,651

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) = C₃×C₂³.₆D₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	24	4	C2^2:C4:1(C3xS3)	288,240
C₂²⋊C₄⋊₂(C₃×S₃) = C₃×D₆⋊D₄	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4:2(C3xS3)	288,653
C₂²⋊C₄⋊₃(C₃×S₃) = C₃×C₂³.₉D₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4:3(C3xS3)	288,654
C₂²⋊C₄⋊₄(C₃×S₃) = C₃×Dic₃⋊D₄	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4:4(C3xS3)	288,655
C₂²⋊C₄⋊₅(C₃×S₃) = C₃×C₂³.₁₁D₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4:5(C3xS3)	288,656
C₂²⋊C₄⋊₆(C₃×S₃) = C₃×C₂³.₂₁D₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4:6(C3xS3)	288,657
C₂²⋊C₄⋊₇(C₃×S₃) = C₃×Dic₃⋊₄D₄	φ: trivial image	48		C2^2:C4:7(C3xS3)	288,652

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) = C₃×Dic₃.D₄	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4.1(C3xS3)	288,649
C₂²⋊C₄.₂(C₃×S₃) = C₃×C₂³.₈D₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4.2(C3xS3)	288,650
C₂²⋊C₄.₃(C₃×S₃) = C₃×C₂³.₁₆D₆	φ: trivial image	48		C2^2:C4.3(C3xS3)	288,648

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