Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆xC₁₂

Direct product G=NxQ with N=C₃ and Q=C₆xC₁₂

		d	ρ	Label	ID
C₃xC₆xC₁₂		216		C3xC6xC12	216,150

Semidirect products G=N:Q with N=C₃ and Q=C₆xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₆xC₁₂) = S₃xC₃xC₁₂	φ: C₆xC₁₂/C₃xC₁₂ → C₂ ⊆ Aut C₃	72		C3:1(C6xC12)	216,136
C₃:₂(C₆xC₁₂) = Dic₃xC₃xC₆	φ: C₆xC₁₂/C₆² → C₂ ⊆ Aut C₃	72		C3:2(C6xC12)	216,138

Non-split extensions G=N.Q with N=C₃ and Q=C₆xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₆xC₁₂) = C₂xC₄xHe₃	central stem extension (φ=1)	72		C3.1(C6xC12)	216,74
C₃.₂(C₆xC₁₂) = C₂xC₄x3_-¹⁺²	central stem extension (φ=1)	72		C3.2(C6xC12)	216,75

Extensions 1→N→G→Q→1 with N=C3 and Q=C6xC12