Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂x3_-¹⁺²

Direct product G=NxQ with N=C₈ and Q=C₂x3_-¹⁺²

		d	ρ	Label	ID
C₂xC₈x3_-¹⁺²		144		C2xC8xES-(3,1)	432,211

Semidirect products G=N:Q with N=C₈ and Q=C₂x3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈:₁(C₂x3_-¹⁺²) = D₈x3_-¹⁺²	φ: C₂x3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₈	72	6	C8:1(C2xES-(3,1))	432,217
C₈:₂(C₂x3_-¹⁺²) = SD₁₆x3_-¹⁺²	φ: C₂x3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₈	72	6	C8:2(C2xES-(3,1))	432,220
C₈:₃(C₂x3_-¹⁺²) = M₄(2)x3_-¹⁺²	φ: C₂x3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₈	72	6	C8:3(C2xES-(3,1))	432,214

Non-split extensions G=N.Q with N=C₈ and Q=C₂x3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₂x3_-¹⁺²) = Q₁₆x3_-¹⁺²	φ: C₂x3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₈	144	6	C8.(C2xES-(3,1))	432,223
C₈.₂(C₂x3_-¹⁺²) = C₁₆x3_-¹⁺²	central extension (φ=1)	144	3	C8.2(C2xES-(3,1))	432,36

Extensions 1→N→G→Q→1 with N=C8 and Q=C2x3- 1+2