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

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

		d	ρ	Label	ID
C₄²×3_-¹⁺²		144		C4^2xES-(3,1)	432,202

Semidirect products G=N:Q with N=C₄ and Q=C₄×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₄×3_-¹⁺²) = C₄⋊C₄×3_-¹⁺²	φ: C₄×3_-¹⁺²/C₂×3_-¹⁺² → C₂ ⊆ Aut C₄	144		C4:(C4xES-(3,1))	432,208

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₄×3_-¹⁺²) = M₄(2)×3_-¹⁺²	φ: C₄×3_-¹⁺²/C₂×3_-¹⁺² → C₂ ⊆ Aut C₄	72	6	C4.(C4xES-(3,1))	432,214
C₄.₂(C₄×3_-¹⁺²) = C₁₆×3_-¹⁺²	central extension (φ=1)	144	3	C4.2(C4xES-(3,1))	432,36
C₄.₃(C₄×3_-¹⁺²) = C₂×C₈×3_-¹⁺²	central extension (φ=1)	144		C4.3(C4xES-(3,1))	432,211

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