Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃xDic₃

Direct product G=NxQ with N=C₂³ and Q=C₃xDic₃

		d	ρ	Label	ID
Dic₃xC₂²xC₆		96		Dic3xC2^2xC6	288,1001

Semidirect products G=N:Q with N=C₂³ and Q=C₃xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:(C₃xDic₃) = C₆xA₄:C₄	φ: C₃xDic₃/C₆ → S₃ ⊆ Aut C₂³	72		C2^3:(C3xDic3)	288,905
C₂³:₂(C₃xDic₃) = C₃xC₂³.₇D₆	φ: C₃xDic₃/C₃² → C₄ ⊆ Aut C₂³	24	4	C2^3:2(C3xDic3)	288,268
C₂³:₃(C₃xDic₃) = C₂xDic₃xA₄	φ: C₃xDic₃/Dic₃ → C₃ ⊆ Aut C₂³	72		C2^3:3(C3xDic3)	288,927
C₂³:₄(C₃xDic₃) = C₆xC₆.D₄	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₂³	48		C2^3:4(C3xDic3)	288,723

Non-split extensions G=N.Q with N=C₂³ and Q=C₃xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.(C₃xDic₃) = C₃xA₄:C₈	φ: C₃xDic₃/C₆ → S₃ ⊆ Aut C₂³	72	3	C2^3.(C3xDic3)	288,398
C₂³.₂(C₃xDic₃) = C₃xC₁₂.D₄	φ: C₃xDic₃/C₃² → C₄ ⊆ Aut C₂³	24	4	C2^3.2(C3xDic3)	288,267
C₂³.₃(C₃xDic₃) = A₄xC₃:C₈	φ: C₃xDic₃/Dic₃ → C₃ ⊆ Aut C₂³	72	6	C2^3.3(C3xDic3)	288,408
C₂³.₄(C₃xDic₃) = C₃xC₁₂.₅₅D₄	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₂³	48		C2^3.4(C3xDic3)	288,264
C₂³.₅(C₃xDic₃) = C₆xC₄.Dic₃	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₂³	48		C2^3.5(C3xDic3)	288,692
C₂³.₆(C₃xDic₃) = C₂xC₆xC₃:C₈	central extension (φ=1)	96		C2^3.6(C3xDic3)	288,691

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