Extensions 1→N→G→Q→1 with N=C₁₂ and Q=Dic₅

Direct product G=N×Q with N=C₁₂ and Q=Dic₅

		d	ρ	Label	ID
C₁₂×Dic₅		240		C12xDic5	240,40

Semidirect products G=N:Q with N=C₁₂ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁Dic₅ = C₆₀⋊₅C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₂	240		C12:1Dic5	240,74
C₁₂⋊₂Dic₅ = C₄×Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₂	240		C12:2Dic5	240,72
C₁₂⋊₃Dic₅ = C₃×C₄⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₂	240		C12:3Dic5	240,42

Non-split extensions G=N.Q with N=C₁₂ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁Dic₅ = C₆₀.₇C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₂	120	2	C12.1Dic5	240,71
C₁₂.₂Dic₅ = C₁₅⋊₃C₁₆	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₂	240	2	C12.2Dic5	240,3
C₁₂.₃Dic₅ = C₂×C₁₅⋊₃C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₂	240		C12.3Dic5	240,70
C₁₂.₄Dic₅ = C₃×C₄.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₂	120	2	C12.4Dic5	240,39
C₁₂.₅Dic₅ = C₃×C₅⋊₂C₁₆	central extension (φ=1)	240	2	C12.5Dic5	240,2
C₁₂.₆Dic₅ = C₆×C₅⋊₂C₈	central extension (φ=1)	240		C12.6Dic5	240,38

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