Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²×C₆²

Direct product G=N×Q with N=C₃ and Q=C₂²×C₆²

		d	ρ	Label	ID
C₂×C₆³		432		C2xC6^3	432,775

Semidirect products G=N:Q with N=C₃ and Q=C₂²×C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂²×C₆²) = S₃×C₂×C₆²	φ: C₂²×C₆²/C₂×C₆² → C₂ ⊆ Aut C₃	144		C3:(C2^2xC6^2)	432,772

Non-split extensions G=N.Q with N=C₃ and Q=C₂²×C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂²×C₆²) = C₂⁴×He₃	central stem extension (φ=1)	144		C3.1(C2^2xC6^2)	432,563
C₃.₂(C₂²×C₆²) = C₂⁴×3_-¹⁺²	central stem extension (φ=1)	144		C3.2(C2^2xC6^2)	432,564

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Extensions 1→N→G→Q→1 with N=C3 and Q=C22×C62