Extensions 1→N→G→Q→1 with N=C₆ and Q=Dic₉

Direct product G=N×Q with N=C₆ and Q=Dic₉

		d	ρ	Label	ID
C₆×Dic₉		72		C6xDic9	216,55

Semidirect products G=N:Q with N=C₆ and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊Dic₉ = C₂×C₉⋊Dic₃	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₆	216		C6:Dic9	216,69

Non-split extensions G=N.Q with N=C₆ and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁Dic₉ = C₂₇⋊C₈	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₆	216	2	C6.1Dic9	216,1
C₆.₂Dic₉ = C₂×Dic₂₇	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₆	216		C6.2Dic9	216,7
C₆.₃Dic₉ = C₃₆.S₃	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₆	216		C6.3Dic9	216,16
C₆.₄Dic₉ = C₃×C₉⋊C₈	central extension (φ=1)	72	2	C6.4Dic9	216,12

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Extensions 1→N→G→Q→1 with N=C6 and Q=Dic9