Extensions 1→N→G→Q→1 with N=C₁₂ and Q=D₁₃

Direct product G=N×Q with N=C₁₂ and Q=D₁₃

		d	ρ	Label	ID
C₁₂×D₁₃		156	2	C12xD13	312,28

Semidirect products G=N:Q with N=C₁₂ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁D₁₃ = D₁₅₆	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₁₂	156	2+	C12:1D13	312,39
C₁₂⋊₂D₁₃ = C₄×D₃₉	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₁₂	156	2	C12:2D13	312,38
C₁₂⋊₃D₁₃ = C₃×D₅₂	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₁₂	156	2	C12:3D13	312,29

Non-split extensions G=N.Q with N=C₁₂ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁D₁₃ = Dic₇₈	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₁₂	312	2-	C12.1D13	312,37
C₁₂.₂D₁₃ = C₃₉⋊₃C₈	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₁₂	312	2	C12.2D13	312,5
C₁₂.₃D₁₃ = C₃×Dic₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₁₂	312	2	C12.3D13	312,27
C₁₂.₄D₁₃ = C₃×C₁₃⋊₂C₈	central extension (φ=1)	312	2	C12.4D13	312,4

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