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

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

		d	ρ	Label	ID
C₃×C₉⋊D₄		36	2	C3xC9:D4	216,57

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₉⋊D₄) = C₉⋊D₁₂	φ: C₉⋊D₄/Dic₉ → C₂ ⊆ Aut C₃	36	4+	C3:1(C9:D4)	216,32
C₃⋊₂(C₉⋊D₄) = D₆⋊D₉	φ: C₉⋊D₄/D₁₈ → C₂ ⊆ Aut C₃	72	4-	C3:2(C9:D4)	216,31
C₃⋊₃(C₉⋊D₄) = C₆.D₁₈	φ: C₉⋊D₄/C₂×C₁₈ → C₂ ⊆ Aut C₃	108		C3:3(C9:D4)	216,70

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₉⋊D₄) = C₂₇⋊D₄	φ: C₉⋊D₄/C₂×C₁₈ → C₂ ⊆ Aut C₃	108	2	C3.(C9:D4)	216,8

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