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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊C₆² = S₃×C₃×C₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₃	36		C3:C6^2	108,42

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁C₆² = C₂²×He₃	central stem extension (φ=1)	36		C3.1C6^2	108,30
C₃.₂C₆² = C₂²×3_-¹⁺²	central stem extension (φ=1)	36		C3.2C6^2	108,31

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