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

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

		d	ρ	Label	ID
C₂⁴×3_-¹⁺²		144		C2^4xES-(3,1)	432,564

Semidirect products G=N:Q with N=C₂² and Q=C₂²×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₂²×3_-¹⁺²) = C₂²×C₉⋊A₄	φ: C₂²×3_-¹⁺²/C₂×C₁₈ → C₃ ⊆ Aut C₂²	108		C2^2:1(C2^2xES-(3,1))	432,547
C₂²⋊₂(C₂²×3_-¹⁺²) = C₂²×C₃².A₄	φ: C₂²×3_-¹⁺²/C₆² → C₃ ⊆ Aut C₂²	36		C2^2:2(C2^2xES-(3,1))	432,549
C₂²⋊₃(C₂²×3_-¹⁺²) = C₂×D₄×3_-¹⁺²	φ: C₂²×3_-¹⁺²/C₂×3_-¹⁺² → C₂ ⊆ Aut C₂²	72		C2^2:3(C2^2xES-(3,1))	432,405

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂²×3_-¹⁺²) = C₄○D₄×3_-¹⁺²	φ: C₂²×3_-¹⁺²/C₂×3_-¹⁺² → C₂ ⊆ Aut C₂²	72	6	C2^2.(C2^2xES-(3,1))	432,411
C₂².₂(C₂²×3_-¹⁺²) = C₄²×3_-¹⁺²	central extension (φ=1)	144		C2^2.2(C2^2xES-(3,1))	432,202
C₂².₃(C₂²×3_-¹⁺²) = C₂²⋊C₄×3_-¹⁺²	central extension (φ=1)	72		C2^2.3(C2^2xES-(3,1))	432,205
C₂².₄(C₂²×3_-¹⁺²) = C₄⋊C₄×3_-¹⁺²	central extension (φ=1)	144		C2^2.4(C2^2xES-(3,1))	432,208
C₂².₅(C₂²×3_-¹⁺²) = C₂²×C₄×3_-¹⁺²	central extension (φ=1)	144		C2^2.5(C2^2xES-(3,1))	432,402
C₂².₆(C₂²×3_-¹⁺²) = C₂×Q₈×3_-¹⁺²	central extension (φ=1)	144		C2^2.6(C2^2xES-(3,1))	432,408

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