Extensions 1→N→G→Q→1 with N=C₃ and Q=D₂₄⋊C₂

Direct product G=N×Q with N=C₃ and Q=D₂₄⋊C₂

		d	ρ	Label	ID
C₃×D₂₄⋊C₂		96	4	C3xD24:C2	288,690

Semidirect products G=N:Q with N=C₃ and Q=D₂₄⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₂₄⋊C₂) = D₆.₃D₁₂	φ: D₂₄⋊C₂/S₃×C₈ → C₂ ⊆ Aut C₃	48	4+	C3:1(D24:C2)	288,456
C₃⋊₂(D₂₄⋊C₂) = D₂₄⋊₅S₃	φ: D₂₄⋊C₂/D₂₄ → C₂ ⊆ Aut C₃	48	4	C3:2(D24:C2)	288,458
C₃⋊₃(D₂₄⋊C₂) = D₁₂.₁₄D₆	φ: D₂₄⋊C₂/Q₈⋊₂S₃ → C₂ ⊆ Aut C₃	48	8+	C3:3(D24:C2)	288,598
C₃⋊₄(D₂₄⋊C₂) = C₂₄.₂₈D₆	φ: D₂₄⋊C₂/C₃×Q₁₆ → C₂ ⊆ Aut C₃	144		C3:4(D24:C2)	288,776
C₃⋊₅(D₂₄⋊C₂) = D₁₂.₁₃D₆	φ: D₂₄⋊C₂/Q₈⋊₃S₃ → C₂ ⊆ Aut C₃	48	8+	C3:5(D24:C2)	288,597

Non-split extensions G=N.Q with N=C₃ and Q=D₂₄⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₂₄⋊C₂) = D₇₂⋊₅C₂	φ: D₂₄⋊C₂/C₃×Q₁₆ → C₂ ⊆ Aut C₃	144	4+	C3.(D24:C2)	288,129

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