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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊₁C₆ = C₃×D₆⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3):1C6	144,79
(C₂×Dic₃)⋊₂C₆ = C₃×C₆.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₃	24		(C2xDic3):2C6	144,84
(C₂×Dic₃)⋊₃C₆ = C₃×D₄⋊₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₃	24	4	(C2xDic3):3C6	144,163
(C₂×Dic₃)⋊₄C₆ = C₆×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₃	24		(C2xDic3):4C6	144,167
(C₂×Dic₃)⋊₅C₆ = S₃×C₂×C₁₂	φ: trivial image	48		(C2xDic3):5C6	144,159

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).₁C₆ = C₃×Dic₃⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).1C6	144,77
(C₂×Dic₃).₂C₆ = C₃×C₄⋊Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).2C6	144,78
(C₂×Dic₃).₃C₆ = C₆×Dic₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).3C6	144,158
(C₂×Dic₃).₄C₆ = Dic₃×C₁₂	φ: trivial image	48		(C2xDic3).4C6	144,76

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