Extensions 1→N→G→Q→1 with N=C₆ and Q=D₂₁

Direct product G=N×Q with N=C₆ and Q=D₂₁

		d	ρ	Label	ID
C₆×D₂₁		84	2	C6xD21	252,43

Semidirect products G=N:Q with N=C₆ and Q=D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊D₂₁ = C₂×C₃⋊D₂₁	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₆	126		C6:D21	252,45

Non-split extensions G=N.Q with N=C₆ and Q=D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁D₂₁ = Dic₆₃	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₆	252	2-	C6.1D21	252,5
C₆.₂D₂₁ = D₁₂₆	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₆	126	2+	C6.2D21	252,14
C₆.₃D₂₁ = C₃⋊Dic₂₁	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₆	252		C6.3D21	252,24
C₆.₄D₂₁ = C₃×Dic₂₁	central extension (φ=1)	84	2	C6.4D21	252,22

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Extensions 1→N→G→Q→1 with N=C6 and Q=D21