Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃×Dic₃

Direct product G=N×Q with N=C₂³ and Q=C₃×Dic₃

		d	ρ	Label	ID
Dic₃×C₂²×C₆		96		Dic3xC2^2xC6	288,1001

Semidirect products G=N:Q with N=C₂³ and Q=C₃×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊(C₃×Dic₃) = C₆×A₄⋊C₄	φ: C₃×Dic₃/C₆ → S₃ ⊆ Aut C₂³	72		C2^3:(C3xDic3)	288,905
C₂³⋊₂(C₃×Dic₃) = C₃×C₂³.₇D₆	φ: C₃×Dic₃/C₃² → C₄ ⊆ Aut C₂³	24	4	C2^3:2(C3xDic3)	288,268
C₂³⋊₃(C₃×Dic₃) = C₂×Dic₃×A₄	φ: C₃×Dic₃/Dic₃ → C₃ ⊆ Aut C₂³	72		C2^3:3(C3xDic3)	288,927
C₂³⋊₄(C₃×Dic₃) = C₆×C₆.D₄	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₂³	48		C2^3:4(C3xDic3)	288,723

Non-split extensions G=N.Q with N=C₂³ and Q=C₃×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.(C₃×Dic₃) = C₃×A₄⋊C₈	φ: C₃×Dic₃/C₆ → S₃ ⊆ Aut C₂³	72	3	C2^3.(C3xDic3)	288,398
C₂³.₂(C₃×Dic₃) = C₃×C₁₂.D₄	φ: C₃×Dic₃/C₃² → C₄ ⊆ Aut C₂³	24	4	C2^3.2(C3xDic3)	288,267
C₂³.₃(C₃×Dic₃) = A₄×C₃⋊C₈	φ: C₃×Dic₃/Dic₃ → C₃ ⊆ Aut C₂³	72	6	C2^3.3(C3xDic3)	288,408
C₂³.₄(C₃×Dic₃) = C₃×C₁₂.₅₅D₄	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₂³	48		C2^3.4(C3xDic3)	288,264
C₂³.₅(C₃×Dic₃) = C₆×C₄.Dic₃	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₂³	48		C2^3.5(C3xDic3)	288,692
C₂³.₆(C₃×Dic₃) = C₂×C₆×C₃⋊C₈	central extension (φ=1)	96		C2^3.6(C3xDic3)	288,691

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