Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄.₃D₄

Direct product G=N×Q with N=C₃ and Q=D₄.₃D₄

		d	ρ	Label	ID
C₃×D₄.₃D₄		48	4	C3xD4.3D4	192,904

Semidirect products G=N:Q with N=C₃ and Q=D₄.₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄.₃D₄) = D₁₂.₂D₄	φ: D₄.₃D₄/C₄.D₄ → C₂ ⊆ Aut C₃	48	8-	C3:1(D4.3D4)	192,307
C₃⋊₂(D₄.₃D₄) = D₁₂.₆D₄	φ: D₄.₃D₄/C₄.₁₀D₄ → C₂ ⊆ Aut C₃	48	8+	C3:2(D4.3D4)	192,313
C₃⋊₃(D₄.₃D₄) = C₂₄.₄₂D₄	φ: D₄.₃D₄/C₈.C₄ → C₂ ⊆ Aut C₃	48	4	C3:3(D4.3D4)	192,457
C₃⋊₄(D₄.₃D₄) = Q₈.₈D₁₂	φ: D₄.₃D₄/C₈○D₄ → C₂ ⊆ Aut C₃	48	4	C3:4(D4.3D4)	192,700
C₃⋊₅(D₄.₃D₄) = C₂₄.₄₄D₄	φ: D₄.₃D₄/C₂×SD₁₆ → C₂ ⊆ Aut C₃	48	4	C3:5(D4.3D4)	192,736
C₃⋊₆(D₄.₃D₄) = M₄(2).₁₃D₆	φ: D₄.₃D₄/C₈⋊C₂² → C₂ ⊆ Aut C₃	48	8-	C3:6(D4.3D4)	192,759
C₃⋊₇(D₄.₃D₄) = M₄(2).₁₅D₆	φ: D₄.₃D₄/C₈.C₂² → C₂ ⊆ Aut C₃	48	8+	C3:7(D4.3D4)	192,762

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁