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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₄×3_-¹⁺²) = C₄×C₉⋊A₄	φ: C₄×3_-¹⁺²/C₃₆ → C₃ ⊆ Aut C₂²	108	3	C2^2:1(C4xES-(3,1))	432,326
C₂²⋊₂(C₄×3_-¹⁺²) = C₄×C₃².A₄	φ: C₄×3_-¹⁺²/C₃×C₁₂ → C₃ ⊆ Aut C₂²	36	3	C2^2:2(C4xES-(3,1))	432,332
C₂²⋊₃(C₄×3_-¹⁺²) = C₂²⋊C₄×3_-¹⁺²	φ: C₄×3_-¹⁺²/C₂×3_-¹⁺² → C₂ ⊆ Aut C₂²	72		C2^2:3(C4xES-(3,1))	432,205

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₄×3_-¹⁺²) = M₄(2)×3_-¹⁺²	φ: C₄×3_-¹⁺²/C₂×3_-¹⁺² → C₂ ⊆ Aut C₂²	72	6	C2^2.(C4xES-(3,1))	432,214
C₂².₂(C₄×3_-¹⁺²) = C₂×C₈×3_-¹⁺²	central extension (φ=1)	144		C2^2.2(C4xES-(3,1))	432,211

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