Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₂×3_-¹⁺²

Direct product G=N×Q with N=C₂³ and Q=C₂×3_-¹⁺²

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

Semidirect products G=N:Q with N=C₂³ and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊₁(C₂×3_-¹⁺²) = C₂²×C₉⋊A₄	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₂³	108		C2^3:1(C2xES-(3,1))	432,547
C₂³⋊₂(C₂×3_-¹⁺²) = C₂²×C₃².A₄	φ: C₂×3_-¹⁺²/C₃×C₆ → C₃ ⊆ Aut C₂³	36		C2^3:2(C2xES-(3,1))	432,549
C₂³⋊₃(C₂×3_-¹⁺²) = C₂×D₄×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₂³	72		C2^3:3(C2xES-(3,1))	432,405

Non-split extensions G=N.Q with N=C₂³ and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁(C₂×3_-¹⁺²) = C₄×C₉⋊A₄	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₂³	108	3	C2^3.1(C2xES-(3,1))	432,326
C₂³.₂(C₂×3_-¹⁺²) = C₄×C₃².A₄	φ: C₂×3_-¹⁺²/C₃×C₆ → C₃ ⊆ Aut C₂³	36	3	C2^3.2(C2xES-(3,1))	432,332
C₂³.₃(C₂×3_-¹⁺²) = C₂²⋊C₄×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₂³	72		C2^3.3(C2xES-(3,1))	432,205
C₂³.₄(C₂×3_-¹⁺²) = C₂²×C₄×3_-¹⁺²	central extension (φ=1)	144		C2^3.4(C2xES-(3,1))	432,402

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