Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xF₇

Direct product G=NxQ with N=C₃ and Q=C₂xF₇

		d	ρ	Label	ID
C₆xF₇		42	6	C6xF7	252,28

Semidirect products G=N:Q with N=C₃ and Q=C₂xF₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂xF₇) = S₃xF₇	φ: C₂xF₇/F₇ → C₂ ⊆ Aut C₃	21	12+	C3:1(C2xF7)	252,26
C₃:₂(C₂xF₇) = C₂xC₃:F₇	φ: C₂xF₇/C₂xC₇:C₃ → C₂ ⊆ Aut C₃	42	6+	C3:2(C2xF7)	252,30

Non-split extensions G=N.Q with N=C₃ and Q=C₂xF₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂xF₇) = C₂xC₇:C₁₈	central extension (φ=1)	126	6	C3.(C2xF7)	252,7

Extensions 1→N→G→Q→1 with N=C3 and Q=C2xF7