Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂²×3_-¹⁺²

Direct product G=N×Q with N=C₄ and Q=C₂²×3_-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=C₄ and Q=C₂²×3_-¹⁺²

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

Non-split extensions G=N.Q with N=C₄ and Q=C₂²×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂²×3_-¹⁺²) = D₈×3_-¹⁺²	φ: C₂²×3_-¹⁺²/C₂×3_-¹⁺² → C₂ ⊆ Aut C₄	72	6	C4.1(C2^2xES-(3,1))	432,217
C₄.₂(C₂²×3_-¹⁺²) = SD₁₆×3_-¹⁺²	φ: C₂²×3_-¹⁺²/C₂×3_-¹⁺² → C₂ ⊆ Aut C₄	72	6	C4.2(C2^2xES-(3,1))	432,220
C₄.₃(C₂²×3_-¹⁺²) = Q₁₆×3_-¹⁺²	φ: C₂²×3_-¹⁺²/C₂×3_-¹⁺² → C₂ ⊆ Aut C₄	144	6	C4.3(C2^2xES-(3,1))	432,223
C₄.₄(C₂²×3_-¹⁺²) = C₂×Q₈×3_-¹⁺²	φ: C₂²×3_-¹⁺²/C₂×3_-¹⁺² → C₂ ⊆ Aut C₄	144		C4.4(C2^2xES-(3,1))	432,408
C₄.₅(C₂²×3_-¹⁺²) = C₂×C₈×3_-¹⁺²	central extension (φ=1)	144		C4.5(C2^2xES-(3,1))	432,211
C₄.₆(C₂²×3_-¹⁺²) = M₄(2)×3_-¹⁺²	central extension (φ=1)	72	6	C4.6(C2^2xES-(3,1))	432,214
C₄.₇(C₂²×3_-¹⁺²) = C₄○D₄×3_-¹⁺²	central extension (φ=1)	72	6	C4.7(C2^2xES-(3,1))	432,411

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