Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃⋊S₃

Direct product G=N×Q with N=D₄ and Q=C₃⋊S₃

		d	ρ	Label	ID
D₄×C₃⋊S₃		36		D4xC3:S3	144,172

Semidirect products G=N:Q with N=D₄ and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₃⋊S₃) = C₃²⋊₇D₈	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out D₄	72		D4:(C3:S3)	144,96
D₄⋊₂(C₃⋊S₃) = C₁₂.D₆	φ: trivial image	72		D4:2(C3:S3)	144,173

Non-split extensions G=N.Q with N=D₄ and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃⋊S₃) = C₃²⋊₉SD₁₆	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out D₄	72		D4.(C3:S3)	144,97

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Extensions 1→N→G→Q→1 with N=D4 and Q=C3⋊S3