Extensions 1→N→G→Q→1 with N=C₂×Dic₃ and Q=C₃×C₆

Direct product G=N×Q with N=C₂×Dic₃ and Q=C₃×C₆

		d	ρ	Label	ID
Dic₃×C₆²		144		Dic3xC6^2	432,708

Semidirect products G=N:Q with N=C₂×Dic₃ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊₁(C₃×C₆) = C₃²×D₆⋊C₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×Dic₃	144		(C2xDic3):1(C3xC6)	432,474
(C₂×Dic₃)⋊₂(C₃×C₆) = C₃²×C₆.D₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×Dic₃	72		(C2xDic3):2(C3xC6)	432,479
(C₂×Dic₃)⋊₃(C₃×C₆) = C₃²×D₄⋊₂S₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×Dic₃	72		(C2xDic3):3(C3xC6)	432,705
(C₂×Dic₃)⋊₄(C₃×C₆) = C₃×C₆×C₃⋊D₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×Dic₃	72		(C2xDic3):4(C3xC6)	432,709
(C₂×Dic₃)⋊₅(C₃×C₆) = S₃×C₆×C₁₂	φ: trivial image	144		(C2xDic3):5(C3xC6)	432,701

Non-split extensions G=N.Q with N=C₂×Dic₃ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).₁(C₃×C₆) = C₃²×Dic₃⋊C₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×Dic₃	144		(C2xDic3).1(C3xC6)	432,472
(C₂×Dic₃).₂(C₃×C₆) = C₃²×C₄⋊Dic₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×Dic₃	144		(C2xDic3).2(C3xC6)	432,473
(C₂×Dic₃).₃(C₃×C₆) = C₃×C₆×Dic₆	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₂×Dic₃	144		(C2xDic3).3(C3xC6)	432,700
(C₂×Dic₃).₄(C₃×C₆) = Dic₃×C₃×C₁₂	φ: trivial image	144		(C2xDic3).4(C3xC6)	432,471

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