Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂×3_-¹⁺²

Direct product G=N×Q with N=D₄ and Q=C₂×3_-¹⁺²

		d	ρ	Label	ID
C₂×D₄×3_-¹⁺²		72		C2xD4xES-(3,1)	432,405

Semidirect products G=N:Q with N=D₄ and Q=C₂×3_-¹⁺²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₂×3_-¹⁺²) = D₈×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Out D₄	72	6	D4:(C2xES-(3,1))	432,217
D₄⋊₂(C₂×3_-¹⁺²) = C₄○D₄×3_-¹⁺²	φ: trivial image	72	6	D4:2(C2xES-(3,1))	432,411

Non-split extensions G=N.Q with N=D₄ and Q=C₂×3_-¹⁺²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₂×3_-¹⁺²) = SD₁₆×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Out D₄	72	6	D4.(C2xES-(3,1))	432,220

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Extensions 1→N→G→Q→1 with N=D4 and Q=C2×3- 1+2