Extensions 1→N→G→Q→1 with N=C₁₃₈ and Q=C₂

Direct product G=N×Q with N=C₁₃₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₃₈		276		C2xC138	276,10

Semidirect products G=N:Q with N=C₁₃₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃₈⋊₁C₂ = D₁₃₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₈	138	2+	C138:1C2	276,9
C₁₃₈⋊₂C₂ = C₆×D₂₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₈	138	2	C138:2C2	276,7
C₁₃₈⋊₃C₂ = S₃×C₄₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₈	138	2	C138:3C2	276,8

Non-split extensions G=N.Q with N=C₁₃₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃₈.₁C₂ = Dic₆₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₈	276	2-	C138.1C2	276,3
C₁₃₈.₂C₂ = C₃×Dic₂₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₈	276	2	C138.2C2	276,2
C₁₃₈.₃C₂ = Dic₃×C₂₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₈	276	2	C138.3C2	276,1

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Extensions 1→N→G→Q→1 with N=C138 and Q=C2