Extensions 1→N→G→Q→1 with N=Dic₂₁ and Q=C₄

Direct product G=N×Q with N=Dic₂₁ and Q=C₄

		d	ρ	Label	ID
C₄×Dic₂₁		336		C4xDic21	336,97

Semidirect products G=N:Q with N=Dic₂₁ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₁⋊₁C₄ = C₄₂.₄Q₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₁	336		Dic21:1C4	336,98
Dic₂₁⋊₂C₄ = Dic₃×Dic₇	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₁	336		Dic21:2C4	336,41
Dic₂₁⋊₃C₄ = Dic₂₁⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₁	336		Dic21:3C4	336,46

Non-split extensions G=N.Q with N=Dic₂₁ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₁.₁C₄ = C₅₆⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₁	168	2	Dic21.1C4	336,91
Dic₂₁.₂C₄ = D₂₁⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₁	168	4	Dic21.2C4	336,25
Dic₂₁.₃C₄ = D₄₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₁	168	4	Dic21.3C4	336,28
Dic₂₁.₄C₄ = C₈×D₂₁	φ: trivial image	168	2	Dic21.4C4	336,90

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