Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆.₇S₄

Direct product G=NxQ with N=C₃ and Q=C₆.₇S₄

		d	ρ	Label	ID
C₃xC₆.₇S₄		36	6	C3xC6.7S4	432,618

Semidirect products G=N:Q with N=C₃ and Q=C₆.₇S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₆.₇S₄) = C₆²:₁₀Dic₃	φ: C₆.₇S₄/C₆xA₄ → C₂ ⊆ Aut C₃	108		C3:(C6.7S4)	432,621

Non-split extensions G=N.Q with N=C₃ and Q=C₆.₇S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₆.₇S₄) = A₄:Dic₉	φ: C₆.₇S₄/C₆xA₄ → C₂ ⊆ Aut C₃	108	6-	C3.1(C6.7S4)	432,254
C₃.₂(C₆.₇S₄) = C₆².₁₀Dic₃	φ: C₆.₇S₄/C₆xA₄ → C₂ ⊆ Aut C₃	108		C3.2(C6.7S4)	432,259
C₃.₃(C₆.₇S₄) = C₆²:₆Dic₃	central stem extension (φ=1)	36	3	C3.3(C6.7S4)	432,260

Extensions 1→N→G→Q→1 with N=C3 and Q=C6.7S4