Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₃.S₄

Direct product G=N×Q with N=C₃ and Q=C₂×C₃.S₄

		d	ρ	Label	ID
C₆×C₃.S₄		36	6	C6xC3.S4	432,534

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₃.S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₃.S₄) = S₃×C₃.S₄	φ: C₂×C₃.S₄/C₃.S₄ → C₂ ⊆ Aut C₃	36	12+	C3:1(C2xC3.S4)	432,522
C₃⋊₂(C₂×C₃.S₄) = C₂×C₃².₃S₄	φ: C₂×C₃.S₄/C₂×C₃.A₄ → C₂ ⊆ Aut C₃	54		C3:2(C2xC3.S4)	432,537

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₃.S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₃.S₄) = C₂×C₉.S₄	φ: C₂×C₃.S₄/C₂×C₃.A₄ → C₂ ⊆ Aut C₃	54	6+	C3.(C2xC3.S4)	432,224

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C3.S4