Extensions 1→N→G→Q→1 with N=C₄ and Q=C₉⋊Dic₃

Direct product G=N×Q with N=C₄ and Q=C₉⋊Dic₃

		d	ρ	Label	ID
C₄×C₉⋊Dic₃		432		C4xC9:Dic3	432,180

Semidirect products G=N:Q with N=C₄ and Q=C₉⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₉⋊Dic₃) = C₃₆⋊Dic₃	φ: C₉⋊Dic₃/C₃×C₁₈ → C₂ ⊆ Aut C₄	432		C4:(C9:Dic3)	432,182

Non-split extensions G=N.Q with N=C₄ and Q=C₉⋊Dic₃

extension	φ:Q→Aut N	d	Label	ID
C₄.(C₉⋊Dic₃) = C₃₆.₆₉D₆	φ: C₉⋊Dic₃/C₃×C₁₈ → C₂ ⊆ Aut C₄	216	C4.(C9:Dic3)	432,179
C₄.₂(C₉⋊Dic₃) = C₇₂.S₃	central extension (φ=1)	432	C4.2(C9:Dic3)	432,32
C₄.₃(C₉⋊Dic₃) = C₂×C₃₆.S₃	central extension (φ=1)	432	C4.3(C9:Dic3)	432,178

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Extensions 1→N→G→Q→1 with N=C4 and Q=C9⋊Dic3