Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃⋊S₄

Direct product G=N×Q with N=C₃ and Q=C₃⋊S₄

		d	ρ	Label	ID
C₃×C₃⋊S₄		24	6	C3xC3:S4	216,164

Semidirect products G=N:Q with N=C₃ and Q=C₃⋊S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃⋊S₄) = C₃²⋊₄S₄	φ: C₃⋊S₄/C₃×A₄ → C₂ ⊆ Aut C₃	36		C3:(C3:S4)	216,165

Non-split extensions G=N.Q with N=C₃ and Q=C₃⋊S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃⋊S₄) = C₉⋊S₄	φ: C₃⋊S₄/C₃×A₄ → C₂ ⊆ Aut C₃	36	6+	C3.1(C3:S4)	216,93
C₃.₂(C₃⋊S₄) = C₃².₃S₄	φ: C₃⋊S₄/C₃×A₄ → C₂ ⊆ Aut C₃	54		C3.2(C3:S4)	216,94
C₃.₃(C₃⋊S₄) = C₃²⋊S₄	central stem extension (φ=1)	18	3	C3.3(C3:S4)	216,95

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3⋊S4