Extensions 1→N→G→Q→1 with N=C₄ and Q=C₆xDic₃

Direct product G=NxQ with N=C₄ and Q=C₆xDic₃

		d	ρ	Label	ID
Dic₃xC₂xC₁₂		96		Dic3xC2xC12	288,693

Semidirect products G=N:Q with N=C₄ and Q=C₆xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(C₆xDic₃) = C₃xD₄xDic₃	φ: C₆xDic₃/C₃xDic₃ → C₂ ⊆ Aut C₄	48		C4:1(C6xDic3)	288,705
C₄:₂(C₆xDic₃) = C₆xC₄:Dic₃	φ: C₆xDic₃/C₆² → C₂ ⊆ Aut C₄	96		C4:2(C6xDic3)	288,696

Non-split extensions G=N.Q with N=C₄ and Q=C₆xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₆xDic₃) = C₃xD₄:Dic₃	φ: C₆xDic₃/C₃xDic₃ → C₂ ⊆ Aut C₄	48		C4.1(C6xDic3)	288,266
C₄.₂(C₆xDic₃) = C₃xQ₈:₂Dic₃	φ: C₆xDic₃/C₃xDic₃ → C₂ ⊆ Aut C₄	96		C4.2(C6xDic3)	288,269
C₄.₃(C₆xDic₃) = C₃xQ₈:₃Dic₃	φ: C₆xDic₃/C₃xDic₃ → C₂ ⊆ Aut C₄	48	4	C4.3(C6xDic3)	288,271
C₄.₄(C₆xDic₃) = C₃xQ₈xDic₃	φ: C₆xDic₃/C₃xDic₃ → C₂ ⊆ Aut C₄	96		C4.4(C6xDic3)	288,716
C₄.₅(C₆xDic₃) = C₃xD₄.Dic₃	φ: C₆xDic₃/C₃xDic₃ → C₂ ⊆ Aut C₄	48	4	C4.5(C6xDic3)	288,719
C₄.₆(C₆xDic₃) = C₃xC₈:Dic₃	φ: C₆xDic₃/C₆² → C₂ ⊆ Aut C₄	96		C4.6(C6xDic3)	288,251
C₄.₇(C₆xDic₃) = C₃xC₂₄:₁C₄	φ: C₆xDic₃/C₆² → C₂ ⊆ Aut C₄	96		C4.7(C6xDic3)	288,252
C₄.₈(C₆xDic₃) = C₃xC₂₄.C₄	φ: C₆xDic₃/C₆² → C₂ ⊆ Aut C₄	48	2	C4.8(C6xDic3)	288,253
C₄.₉(C₆xDic₃) = C₆xC₃:C₁₆	central extension (φ=1)	96		C4.9(C6xDic3)	288,245
C₄.₁₀(C₆xDic₃) = C₃xC₁₂.C₈	central extension (φ=1)	48	2	C4.10(C6xDic3)	288,246
C₄.₁₁(C₆xDic₃) = Dic₃xC₂₄	central extension (φ=1)	96		C4.11(C6xDic3)	288,247
C₄.₁₂(C₆xDic₃) = C₃xC₂₄:C₄	central extension (φ=1)	96		C4.12(C6xDic3)	288,249
C₄.₁₃(C₆xDic₃) = C₂xC₆xC₃:C₈	central extension (φ=1)	96		C4.13(C6xDic3)	288,691
C₄.₁₄(C₆xDic₃) = C₆xC₄.Dic₃	central extension (φ=1)	48		C4.14(C6xDic3)	288,692
C₄.₁₅(C₆xDic₃) = C₃xC₂³.₂₆D₆	central extension (φ=1)	48		C4.15(C6xDic3)	288,697

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