Extensions 1→N→G→Q→1 with N=C₂₁ and Q=Dic₃

Direct product G=N×Q with N=C₂₁ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₂₁		84	2	Dic3xC21	252,21

Semidirect products G=N:Q with N=C₂₁ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊₁Dic₃ = C₃⋊Dic₂₁	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₁	252		C21:1Dic3	252,24
C₂₁⋊₂Dic₃ = C₃×Dic₂₁	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₁	84	2	C21:2Dic3	252,22
C₂₁⋊₃Dic₃ = C₇×C₃⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₁	252		C21:3Dic3	252,23

Non-split extensions G=N.Q with N=C₂₁ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁.₁Dic₃ = Dic₆₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₁	252	2-	C21.1Dic3	252,5
C₂₁.₂Dic₃ = C₇×Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₁	252	2	C21.2Dic3	252,3

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Extensions 1→N→G→Q→1 with N=C21 and Q=Dic3