Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₂×C₆

Direct product G=N×Q with N=Dic₃ and Q=C₂×C₆

		d	ρ	Label	ID
Dic₃×C₂×C₆		48		Dic3xC2xC6	144,166

Semidirect products G=N:Q with N=Dic₃ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁(C₂×C₆) = C₃×S₃×D₄	φ: C₂×C₆/C₆ → C₂ ⊆ Out Dic₃	24	4	Dic3:1(C2xC6)	144,162
Dic₃⋊₂(C₂×C₆) = C₆×C₃⋊D₄	φ: C₂×C₆/C₆ → C₂ ⊆ Out Dic₃	24		Dic3:2(C2xC6)	144,167
Dic₃⋊₃(C₂×C₆) = S₃×C₂×C₁₂	φ: trivial image	48		Dic3:3(C2xC6)	144,159

Non-split extensions G=N.Q with N=Dic₃ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₂×C₆) = C₆×Dic₆	φ: C₂×C₆/C₆ → C₂ ⊆ Out Dic₃	48		Dic3.1(C2xC6)	144,158
Dic₃.₂(C₂×C₆) = C₃×C₄○D₁₂	φ: C₂×C₆/C₆ → C₂ ⊆ Out Dic₃	24	2	Dic3.2(C2xC6)	144,161
Dic₃.₃(C₂×C₆) = C₃×D₄⋊₂S₃	φ: C₂×C₆/C₆ → C₂ ⊆ Out Dic₃	24	4	Dic3.3(C2xC6)	144,163
Dic₃.₄(C₂×C₆) = C₃×S₃×Q₈	φ: C₂×C₆/C₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.4(C2xC6)	144,164
Dic₃.₅(C₂×C₆) = C₃×Q₈⋊₃S₃	φ: trivial image	48	4	Dic3.5(C2xC6)	144,165

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