Extensions 1→N→G→Q→1 with N=C₆² and Q=C₃

Direct product G=N×Q with N=C₆² and Q=C₃

		d	ρ	Label	ID
C₃×C₆²		108		C3xC6^2	108,45

Semidirect products G=N:Q with N=C₆² and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆²⋊₁C₃ = C₃²⋊A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₆²	18	3	C6^2:1C3	108,22
C₆²⋊₂C₃ = C₂²×He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₆²	36		C6^2:2C3	108,30
C₆²⋊₃C₃ = C₃²×A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₆²	36		C6^2:3C3	108,41

Non-split extensions G=N.Q with N=C₆² and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆².₁C₃ = C₃×C₃.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₆²	54		C6^2.1C3	108,20
C₆².₂C₃ = C₃².A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₆²	18	3	C6^2.2C3	108,21
C₆².₃C₃ = C₂²×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₆²	36		C6^2.3C3	108,31

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Extensions 1→N→G→Q→1 with N=C62 and Q=C3