Extensions 1→N→G→Q→1 with N=C₃₉ and Q=C₃²

Direct product G=N×Q with N=C₃₉ and Q=C₃²

		d	ρ	Label	ID
C₃²×C₃₉		351		C3^2xC39	351,14

Semidirect products G=N:Q with N=C₃₉ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₉⋊C₃² = C₃²×C₁₃⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃₉	117		C39:C3^2	351,13

Non-split extensions G=N.Q with N=C₃₉ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₉.₁C₃² = C₉×C₁₃⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃₉	117	3	C39.1C3^2	351,3
C₃₉.₂C₃² = C₁₁₇⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃₉	117	3	C39.2C3^2	351,4
C₃₉.₃C₃² = C₁₁₇⋊₃C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃₉	117	3	C39.3C3^2	351,5
C₃₉.₄C₃² = C₃×C₁₃⋊C₉	φ: C₃²/C₃ → C₃ ⊆ Aut C₃₉	351		C39.4C3^2	351,6
C₃₉.₅C₃² = C₃₉.C₃²	φ: C₃²/C₃ → C₃ ⊆ Aut C₃₉	117	3	C39.5C3^2	351,7
C₃₉.₆C₃² = C₁₃⋊He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃₉	117	3	C39.6C3^2	351,8
C₃₉.₇C₃² = C₁₃×He₃	central extension (φ=1)	117	3	C39.7C3^2	351,10
C₃₉.₈C₃² = C₁₃×3_-¹⁺²	central extension (φ=1)	117	3	C39.8C3^2	351,11

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