Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₃xC₆

Direct product G=NxQ with N=Dic₆ and Q=C₃xC₆

		d	ρ	Label	ID
C₃xC₆xDic₆		144		C3xC6xDic6	432,700

Semidirect products G=N:Q with N=Dic₆ and Q=C₃xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆:₁(C₃xC₆) = C₃²xC₂₄:C₂	φ: C₃xC₆/C₃² → C₂ ⊆ Out Dic₆	144		Dic6:1(C3xC6)	432,466
Dic₆:₂(C₃xC₆) = C₃²xD₄.S₃	φ: C₃xC₆/C₃² → C₂ ⊆ Out Dic₆	72		Dic6:2(C3xC6)	432,476
Dic₆:₃(C₃xC₆) = C₃²xD₄:₂S₃	φ: C₃xC₆/C₃² → C₂ ⊆ Out Dic₆	72		Dic6:3(C3xC6)	432,705
Dic₆:₄(C₃xC₆) = S₃xQ₈xC₃²	φ: C₃xC₆/C₃² → C₂ ⊆ Out Dic₆	144		Dic6:4(C3xC6)	432,706
Dic₆:₅(C₃xC₆) = C₃²xC₄oD₁₂	φ: trivial image	72		Dic6:5(C3xC6)	432,703

Non-split extensions G=N.Q with N=Dic₆ and Q=C₃xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁(C₃xC₆) = C₃²xDic₁₂	φ: C₃xC₆/C₃² → C₂ ⊆ Out Dic₆	144		Dic6.1(C3xC6)	432,468
Dic₆.₂(C₃xC₆) = C₃²xC₃:Q₁₆	φ: C₃xC₆/C₃² → C₂ ⊆ Out Dic₆	144		Dic6.2(C3xC6)	432,478

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