Extensions 1→N→G→Q→1 with N=C₁₈ and Q=Dic₃

Direct product G=N×Q with N=C₁₈ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₁₈		72		Dic3xC18	216,56

Semidirect products G=N:Q with N=C₁₈ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊Dic₃ = C₂×C₉⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₈	216		C18:Dic3	216,69

Non-split extensions G=N.Q with N=C₁₈ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁Dic₃ = C₂₇⋊C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₈	216	2	C18.1Dic3	216,1
C₁₈.₂Dic₃ = C₂×Dic₂₇	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₈	216		C18.2Dic3	216,7
C₁₈.₃Dic₃ = C₃₆.S₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₈	216		C18.3Dic3	216,16
C₁₈.₄Dic₃ = C₉×C₃⋊C₈	central extension (φ=1)	72	2	C18.4Dic3	216,13

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Extensions 1→N→G→Q→1 with N=C18 and Q=Dic3