Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄⋊D₉

Direct product G=N×Q with N=C₃ and Q=D₄⋊D₉

		d	ρ	Label	ID
C₃×D₄⋊D₉		72	4	C3xD4:D9	432,149

Semidirect products G=N:Q with N=C₃ and Q=D₄⋊D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄⋊D₉) = C₉⋊D₂₄	φ: D₄⋊D₉/C₉⋊C₈ → C₂ ⊆ Aut C₃	72	4+	C3:1(D4:D9)	432,69
C₃⋊₂(D₄⋊D₉) = D₃₆⋊S₃	φ: D₄⋊D₉/D₃₆ → C₂ ⊆ Aut C₃	144	4	C3:2(D4:D9)	432,68
C₃⋊₃(D₄⋊D₉) = C₃₆.₁₈D₆	φ: D₄⋊D₉/D₄×C₉ → C₂ ⊆ Aut C₃	216		C3:3(D4:D9)	432,191

Non-split extensions G=N.Q with N=C₃ and Q=D₄⋊D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄⋊D₉) = D₄⋊D₂₇	φ: D₄⋊D₉/D₄×C₉ → C₂ ⊆ Aut C₃	216	4+	C3.(D4:D9)	432,16

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Extensions 1→N→G→Q→1 with N=C3 and Q=D4⋊D9