Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂₄:C₂

Direct product G=NxQ with N=C₃ and Q=C₂₄:C₂

		d	ρ	Label	ID
C₃xC₂₄:C₂		48	2	C3xC24:C2	144,71

Semidirect products G=N:Q with N=C₃ and Q=C₂₄:C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂₄:C₂) = C₂₄:₂S₃	φ: C₂₄:C₂/C₂₄ → C₂ ⊆ Aut C₃	72		C3:1(C24:C2)	144,87
C₃:₂(C₂₄:C₂) = C₃²:₅SD₁₆	φ: C₂₄:C₂/Dic₆ → C₂ ⊆ Aut C₃	24	4+	C3:2(C24:C2)	144,60
C₃:₃(C₂₄:C₂) = D₁₂.S₃	φ: C₂₄:C₂/D₁₂ → C₂ ⊆ Aut C₃	48	4-	C3:3(C24:C2)	144,59

Non-split extensions G=N.Q with N=C₃ and Q=C₂₄:C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂₄:C₂) = C₇₂:C₂	φ: C₂₄:C₂/C₂₄ → C₂ ⊆ Aut C₃	72	2	C3.(C24:C2)	144,7

Extensions 1→N→G→Q→1 with N=C3 and Q=C24:C2