Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂×3_-¹⁺²

Direct product G=N×Q with N=C₈ and Q=C₂×3_-¹⁺²

		d	ρ	Label	ID
C₂×C₈×3_-¹⁺²		144		C2xC8xES-(3,1)	432,211

Semidirect products G=N:Q with N=C₈ and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₂×3_-¹⁺²) = D₈×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₈	72	6	C8:1(C2xES-(3,1))	432,217
C₈⋊₂(C₂×3_-¹⁺²) = SD₁₆×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₈	72	6	C8:2(C2xES-(3,1))	432,220
C₈⋊₃(C₂×3_-¹⁺²) = M₄(2)×3_-¹⁺²	φ: C₂×3_-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=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₂×3_-¹⁺²) = Q₁₆×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₈	144	6	C8.(C2xES-(3,1))	432,223
C₈.₂(C₂×3_-¹⁺²) = C₁₆×3_-¹⁺²	central extension (φ=1)	144	3	C8.2(C2xES-(3,1))	432,36

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C8 and Q=C2×3- 1+2