Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄x3_-¹⁺²

Direct product G=NxQ with N=C₄ and Q=C₄x3_-¹⁺²

		d	ρ	Label	ID
C₄²x3_-¹⁺²		144		C4^2xES-(3,1)	432,202

Semidirect products G=N:Q with N=C₄ and Q=C₄x3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₄x3_-¹⁺²) = C₄:C₄x3_-¹⁺²	φ: C₄x3_-¹⁺²/C₂x3_-¹⁺² → C₂ ⊆ Aut C₄	144		C4:(C4xES-(3,1))	432,208

Non-split extensions G=N.Q with N=C₄ and Q=C₄x3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₄x3_-¹⁺²) = M₄(2)x3_-¹⁺²	φ: C₄x3_-¹⁺²/C₂x3_-¹⁺² → C₂ ⊆ Aut C₄	72	6	C4.(C4xES-(3,1))	432,214
C₄.₂(C₄x3_-¹⁺²) = C₁₆x3_-¹⁺²	central extension (φ=1)	144	3	C4.2(C4xES-(3,1))	432,36
C₄.₃(C₄x3_-¹⁺²) = C₂xC₈x3_-¹⁺²	central extension (φ=1)	144		C4.3(C4xES-(3,1))	432,211

Extensions 1→N→G→Q→1 with N=C4 and Q=C4x3- 1+2