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

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

		d	ρ	Label	ID
C₂³×Dic₃		96		C2^3xDic3	96,218

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊Dic₃ = C₂×A₄⋊C₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂³	24		C2^3:Dic3	96,194
C₂³⋊₂Dic₃ = C₂³.₇D₆	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂³	24	4	C2^3:2Dic3	96,41
C₂³⋊₃Dic₃ = C₂×C₆.D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂³	48		C2^3:3Dic3	96,159

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.Dic₃ = A₄⋊C₈	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂³	24	3	C2^3.Dic3	96,65
C₂³.₂Dic₃ = C₁₂.D₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂³	24	4	C2^3.2Dic3	96,40
C₂³.₃Dic₃ = C₁₂.₅₅D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.3Dic3	96,37
C₂³.₄Dic₃ = C₂×C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.4Dic3	96,128
C₂³.₅Dic₃ = C₂²×C₃⋊C₈	central extension (φ=1)	96		C2^3.5Dic3	96,127

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