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

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

		d	ρ	Label	ID
C₃×C₁₁₇		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 = C₉×C₁₃⋊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 = C₁₃×3_-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

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