Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₂×3_-¹⁺²

Direct product G=N×Q with N=C₂×C₄ and Q=C₂×3_-¹⁺²

		d	ρ	Label	ID
C₂²×C₄×3_-¹⁺²		144		C2^2xC4xES-(3,1)	432,402

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁(C₂×3_-¹⁺²) = C₂²⋊C₄×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₂×C₄	72		(C2xC4):1(C2xES-(3,1))	432,205
(C₂×C₄)⋊₂(C₂×3_-¹⁺²) = C₂×D₄×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₂×C₄	72		(C2xC4):2(C2xES-(3,1))	432,405
(C₂×C₄)⋊₃(C₂×3_-¹⁺²) = C₄○D₄×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₂×C₄	72	6	(C2xC4):3(C2xES-(3,1))	432,411

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁(C₂×3_-¹⁺²) = C₄⋊C₄×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₂×C₄	144		(C2xC4).1(C2xES-(3,1))	432,208
(C₂×C₄).₂(C₂×3_-¹⁺²) = M₄(2)×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₂×C₄	72	6	(C2xC4).2(C2xES-(3,1))	432,214
(C₂×C₄).₃(C₂×3_-¹⁺²) = C₂×Q₈×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₂×C₄	144		(C2xC4).3(C2xES-(3,1))	432,408
(C₂×C₄).₄(C₂×3_-¹⁺²) = C₄²×3_-¹⁺²	central extension (φ=1)	144		(C2xC4).4(C2xES-(3,1))	432,202
(C₂×C₄).₅(C₂×3_-¹⁺²) = C₂×C₈×3_-¹⁺²	central extension (φ=1)	144		(C2xC4).5(C2xES-(3,1))	432,211

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