Extensions 1→N→G→Q→1 with N=C₁₂ and Q=D₁₇

Direct product G=N×Q with N=C₁₂ and Q=D₁₇

		d	ρ	Label	ID
C₁₂×D₁₇		204	2	C12xD17	408,16

Semidirect products G=N:Q with N=C₁₂ and Q=D₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁D₁₇ = D₂₀₄	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₁₂	204	2+	C12:1D17	408,27
C₁₂⋊₂D₁₇ = C₄×D₅₁	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₁₂	204	2	C12:2D17	408,26
C₁₂⋊₃D₁₇ = C₃×D₆₈	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₁₂	204	2	C12:3D17	408,17

Non-split extensions G=N.Q with N=C₁₂ and Q=D₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁D₁₇ = Dic₁₀₂	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₁₂	408	2-	C12.1D17	408,25
C₁₂.₂D₁₇ = C₅₁⋊₅C₈	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₁₂	408	2	C12.2D17	408,3
C₁₂.₃D₁₇ = C₃×Dic₃₄	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₁₂	408	2	C12.3D17	408,15
C₁₂.₄D₁₇ = C₃×C₁₇⋊₃C₈	central extension (φ=1)	408	2	C12.4D17	408,2

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