Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃×C₃²

Direct product G=N×Q with N=C₄ and Q=S₃×C₃²

		d	ρ	Label	ID
S₃×C₃×C₁₂		72		S3xC3xC12	216,136

Semidirect products G=N:Q with N=C₄ and Q=S₃×C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(S₃×C₃²) = C₃²×D₁₂	φ: S₃×C₃²/C₃³ → C₂ ⊆ Aut C₄	72		C4:(S3xC3^2)	216,137

Non-split extensions G=N.Q with N=C₄ and Q=S₃×C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(S₃×C₃²) = C₃²×Dic₆	φ: S₃×C₃²/C₃³ → C₂ ⊆ Aut C₄	72		C4.(S3xC3^2)	216,135
C₄.₂(S₃×C₃²) = C₃²×C₃⋊C₈	central extension (φ=1)	72		C4.2(S3xC3^2)	216,82

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Extensions 1→N→G→Q→1 with N=C4 and Q=S3×C32