Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄²⋊₃S₃

Direct product G=N×Q with N=C₃ and Q=C₄²⋊₃S₃

		d	ρ	Label	ID
C₃×C₄²⋊₃S₃		96		C3xC4^2:3S3	288,647

Semidirect products G=N:Q with N=C₃ and Q=C₄²⋊₃S₃

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₄²⋊₃S₃) = C₆².₃₈C₂³	φ: C₄²⋊₃S₃/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	48	C3:1(C4^2:3S3)	288,516
C₃⋊₂(C₄²⋊₃S₃) = C₆².₂₉C₂³	φ: C₄²⋊₃S₃/D₆⋊C₄ → C₂ ⊆ Aut C₃	96	C3:2(C4^2:3S3)	288,507
C₃⋊₃(C₄²⋊₃S₃) = C₁₂²⋊₂C₂	φ: C₄²⋊₃S₃/C₄×C₁₂ → C₂ ⊆ Aut C₃	144	C3:3(C4^2:3S3)	288,733

Non-split extensions G=N.Q with N=C₃ and Q=C₄²⋊₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄²⋊₃S₃) = C₄²⋊₃D₉	φ: C₄²⋊₃S₃/C₄×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(C4^2:3S3)	288,86

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Extensions 1→N→G→Q→1 with N=C3 and Q=C42⋊3S3