Extensions 1→N→G→Q→1 with N=Dic₂₁ and Q=C₂

Direct product G=N×Q with N=Dic₂₁ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₂₁		168		C2xDic21	168,37

Semidirect products G=N:Q with N=Dic₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₁⋊₁C₂ = C₂₁⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₁	84	2	Dic21:1C2	168,38
Dic₂₁⋊₂C₂ = Dic₃×D₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₁	84	4-	Dic21:2C2	168,12
Dic₂₁⋊₃C₂ = S₃×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₁	84	4-	Dic21:3C2	168,13
Dic₂₁⋊₄C₂ = C₂₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₁	84	4-	Dic21:4C2	168,15
Dic₂₁⋊₅C₂ = C₄×D₂₁	φ: trivial image	84	2	Dic21:5C2	168,35

Non-split extensions G=N.Q with N=Dic₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₁.₁C₂ = Dic₄₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₁	168	2-	Dic21.1C2	168,34
Dic₂₁.₂C₂ = C₂₁⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₁	168	4-	Dic21.2C2	168,18

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