Extensions 1→N→G→Q→1 with N=Dic₃ and Q=D₇

Direct product G=N×Q with N=Dic₃ and Q=D₇

		d	ρ	Label	ID
Dic₃×D₇		84	4-	Dic3xD7	168,12

Semidirect products G=N:Q with N=Dic₃ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊D₇ = C₃⋊D₂₈	φ: D₇/C₇ → C₂ ⊆ Out Dic₃	84	4+	Dic3:D7	168,16
Dic₃⋊₂D₇ = D₂₁⋊C₄	φ: trivial image	84	4+	Dic3:2D7	168,14

Non-split extensions G=N.Q with N=Dic₃ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.D₇ = C₂₁⋊Q₈	φ: D₇/C₇ → C₂ ⊆ Out Dic₃	168	4-	Dic3.D7	168,18

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=Dic3 and Q=D7