Extensions 1→N→G→Q→1 with N=C₁₂ and Q=D₉

Direct product G=N×Q with N=C₁₂ and Q=D₉

		d	ρ	Label	ID
C₁₂×D₉		72	2	C12xD9	216,45

Semidirect products G=N:Q with N=C₁₂ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁D₉ = C₃₆⋊S₃	φ: D₉/C₉ → C₂ ⊆ Aut C₁₂	108		C12:1D9	216,65
C₁₂⋊₂D₉ = C₄×C₉⋊S₃	φ: D₉/C₉ → C₂ ⊆ Aut C₁₂	108		C12:2D9	216,64
C₁₂⋊₃D₉ = C₃×D₃₆	φ: D₉/C₉ → C₂ ⊆ Aut C₁₂	72	2	C12:3D9	216,46

Non-split extensions G=N.Q with N=C₁₂ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁D₉ = Dic₅₄	φ: D₉/C₉ → C₂ ⊆ Aut C₁₂	216	2-	C12.1D9	216,4
C₁₂.₂D₉ = D₁₀₈	φ: D₉/C₉ → C₂ ⊆ Aut C₁₂	108	2+	C12.2D9	216,6
C₁₂.₃D₉ = C₁₂.D₉	φ: D₉/C₉ → C₂ ⊆ Aut C₁₂	216		C12.3D9	216,63
C₁₂.₄D₉ = C₂₇⋊C₈	φ: D₉/C₉ → C₂ ⊆ Aut C₁₂	216	2	C12.4D9	216,1
C₁₂.₅D₉ = C₄×D₂₇	φ: D₉/C₉ → C₂ ⊆ Aut C₁₂	108	2	C12.5D9	216,5
C₁₂.₆D₉ = C₃₆.S₃	φ: D₉/C₉ → C₂ ⊆ Aut C₁₂	216		C12.6D9	216,16
C₁₂.₇D₉ = C₃×Dic₁₈	φ: D₉/C₉ → C₂ ⊆ Aut C₁₂	72	2	C12.7D9	216,43
C₁₂.₈D₉ = C₃×C₉⋊C₈	central extension (φ=1)	72	2	C12.8D9	216,12

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