Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₃⋊C₈

Direct product G=N×Q with N=Q₈ and Q=C₃⋊C₈

		d	ρ	Label	ID
Q₈×C₃⋊C₈		192		Q8xC3:C8	192,582

Semidirect products G=N:Q with N=Q₈ and Q=C₃⋊C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₃⋊C₈) = C₂.U₂(𝔽₃)	φ: C₃⋊C₈/C₄ → S₃ ⊆ Out Q₈	64		Q8:(C3:C8)	192,183
Q₈⋊₂(C₃⋊C₈) = C₁₂.₂₆Q₁₆	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Out Q₈	192		Q8:2(C3:C8)	192,94

Non-split extensions G=N.Q with N=Q₈ and Q=C₃⋊C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₃⋊C₈) = C₈.₇S₄	φ: C₃⋊C₈/C₄ → S₃ ⊆ Out Q₈	64	2	Q8.(C3:C8)	192,187
Q₈.₂(C₃⋊C₈) = C₂₄.₉₉D₄	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Out Q₈	96	4	Q8.2(C3:C8)	192,120
Q₈.₃(C₃⋊C₈) = C₂₄.₇₈C₂³	φ: trivial image	96	4	Q8.3(C3:C8)	192,699

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=Q8 and Q=C3⋊C8