Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×3_-¹⁺²

Direct product G=N×Q with N=C₂² and Q=C₂×3_-¹⁺²

		d	ρ	Label	ID
C₂³×3_-¹⁺²		72		C2^3xES-(3,1)	216,116

Semidirect products G=N:Q with N=C₂² and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₂×3_-¹⁺²) = C₂×C₉⋊A₄	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₂²	54	3	C2^2:1(C2xES-(3,1))	216,104
C₂²⋊₂(C₂×3_-¹⁺²) = C₂×C₃².A₄	φ: C₂×3_-¹⁺²/C₃×C₆ → C₃ ⊆ Aut C₂²	18	3	C2^2:2(C2xES-(3,1))	216,106
C₂²⋊₃(C₂×3_-¹⁺²) = D₄×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₂²	36	6	C2^2:3(C2xES-(3,1))	216,78

Non-split extensions G=N.Q with N=C₂² and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂×3_-¹⁺²) = C₂×C₄×3_-¹⁺²	central extension (φ=1)	72		C2^2.(C2xES-(3,1))	216,75

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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×3- 1+2