Extensions 1→N→G→Q→1 with N=C₁₁₇ and Q=C₃

Direct product G=NxQ with N=C₁₁₇ and Q=C₃

		d	ρ	Label	ID
C₃xC₁₁₇		351		C3xC117	351,9

Semidirect products G=N:Q with N=C₁₁₇ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₇:₁C₃ = C₉xC₁₃:C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₁₁₇	117	3	C117:1C3	351,3
C₁₁₇:₂C₃ = C₁₁₇:C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₁₁₇	117	3	C117:2C3	351,4
C₁₁₇:₃C₃ = C₁₁₇:₃C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₁₁₇	117	3	C117:3C3	351,5
C₁₁₇:₄C₃ = C₁₃x3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₁₁₇	117	3	C117:4C3	351,11

Non-split extensions G=N.Q with N=C₁₁₇ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₇.C₃ = C₁₃:C₂₇	φ: C₃/C₁ → C₃ ⊆ Aut C₁₁₇	351	3	C117.C3	351,1

Extensions 1→N→G→Q→1 with N=C117 and Q=C3