Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₃×C₆

Direct product G=N×Q with N=Dic₆ and Q=C₃×C₆

		d	ρ	Label	ID
C₃×C₆×Dic₆		144		C3xC6xDic6	432,700

Semidirect products G=N:Q with N=Dic₆ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁(C₃×C₆) = C₃²×C₂₄⋊C₂	φ: C₃×C₆/C₃² → C₂ ⊆ Out Dic₆	144		Dic6:1(C3xC6)	432,466
Dic₆⋊₂(C₃×C₆) = C₃²×D₄.S₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out Dic₆	72		Dic6:2(C3xC6)	432,476
Dic₆⋊₃(C₃×C₆) = C₃²×D₄⋊₂S₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out Dic₆	72		Dic6:3(C3xC6)	432,705
Dic₆⋊₄(C₃×C₆) = S₃×Q₈×C₃²	φ: C₃×C₆/C₃² → C₂ ⊆ Out Dic₆	144		Dic6:4(C3xC6)	432,706
Dic₆⋊₅(C₃×C₆) = C₃²×C₄○D₁₂	φ: trivial image	72		Dic6:5(C3xC6)	432,703

Non-split extensions G=N.Q with N=Dic₆ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁(C₃×C₆) = C₃²×Dic₁₂	φ: C₃×C₆/C₃² → C₂ ⊆ Out Dic₆	144		Dic6.1(C3xC6)	432,468
Dic₆.₂(C₃×C₆) = C₃²×C₃⋊Q₁₆	φ: C₃×C₆/C₃² → C₂ ⊆ Out Dic₆	144		Dic6.2(C3xC6)	432,478

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