Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xC₃:S₄

Direct product G=NxQ with N=C₃ and Q=C₂xC₃:S₄

		d	ρ	Label	ID
C₆xC₃:S₄		36	6	C6xC3:S4	432,761

Semidirect products G=N:Q with N=C₃ and Q=C₂xC₃:S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂xC₃:S₄) = S₃xC₃:S₄	φ: C₂xC₃:S₄/C₃:S₄ → C₂ ⊆ Aut C₃	24	12+	C3:1(C2xC3:S4)	432,747
C₃:₂(C₂xC₃:S₄) = C₂xC₃²:₄S₄	φ: C₂xC₃:S₄/C₆xA₄ → C₂ ⊆ Aut C₃	54		C3:2(C2xC3:S4)	432,762

Non-split extensions G=N.Q with N=C₃ and Q=C₂xC₃:S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂xC₃:S₄) = C₂xC₉:S₄	φ: C₂xC₃:S₄/C₆xA₄ → C₂ ⊆ Aut C₃	54	6+	C3.1(C2xC3:S4)	432,536
C₃.₂(C₂xC₃:S₄) = C₂xC₃².₃S₄	φ: C₂xC₃:S₄/C₆xA₄ → C₂ ⊆ Aut C₃	54		C3.2(C2xC3:S4)	432,537
C₃.₃(C₂xC₃:S₄) = C₂xC₃²:S₄	central stem extension (φ=1)	18	3	C3.3(C2xC3:S4)	432,538

Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC3:S4