Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄×C₉

Direct product G=N×Q with N=C₃ and Q=D₄×C₉

		d	ρ	Label	ID
D₄×C₃×C₉		108		D4xC3xC9	216,76

Semidirect products G=N:Q with N=C₃ and Q=D₄×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄×C₉) = C₉×D₁₂	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₃	72	2	C3:1(D4xC9)	216,48
C₃⋊₂(D₄×C₉) = C₉×C₃⋊D₄	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₃	36	2	C3:2(D4xC9)	216,58

Non-split extensions G=N.Q with N=C₃ and Q=D₄×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄×C₉) = D₄×C₂₇	central extension (φ=1)	108	2	C3.(D4xC9)	216,10

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Extensions 1→N→G→Q→1 with N=C3 and Q=D4×C9