Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃⋊Dic₃

Direct product G=N×Q with N=C₄ and Q=C₃⋊Dic₃

		d	ρ	Label	ID
C₄×C₃⋊Dic₃		144		C4xC3:Dic3	144,92

Semidirect products G=N:Q with N=C₄ and Q=C₃⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃⋊Dic₃) = C₁₂⋊Dic₃	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Aut C₄	144		C4:(C3:Dic3)	144,94

Non-split extensions G=N.Q with N=C₄ and Q=C₃⋊Dic₃

extension	φ:Q→Aut N	d	Label	ID
C₄.(C₃⋊Dic₃) = C₁₂.₅₈D₆	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Aut C₄	72	C4.(C3:Dic3)	144,91
C₄.₂(C₃⋊Dic₃) = C₂₄.S₃	central extension (φ=1)	144	C4.2(C3:Dic3)	144,29
C₄.₃(C₃⋊Dic₃) = C₂×C₃²⋊₄C₈	central extension (φ=1)	144	C4.3(C3:Dic3)	144,90

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Extensions 1→N→G→Q→1 with N=C4 and Q=C3⋊Dic3