Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₂₄

Direct product G=N×Q with N=C₃ and Q=Dic₂₄

		d	ρ	Label	ID
C₃×Dic₂₄		96	2	C3xDic24	288,235

Semidirect products G=N:Q with N=C₃ and Q=Dic₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁Dic₂₄ = C₃²⋊₅Q₃₂	φ: Dic₂₄/C₄₈ → C₂ ⊆ Aut C₃	288		C3:1Dic24	288,276
C₃⋊₂Dic₂₄ = C₃²⋊₃Q₃₂	φ: Dic₂₄/Dic₁₂ → C₂ ⊆ Aut C₃	96	4-	C3:2Dic24	288,199

Non-split extensions G=N.Q with N=C₃ and Q=Dic₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.Dic₂₄ = Dic₇₂	φ: Dic₂₄/C₄₈ → C₂ ⊆ Aut C₃	288	2-	C3.Dic24	288,8

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Extensions 1→N→G→Q→1 with N=C3 and Q=Dic24