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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₁C₁₂ = C₃×C₁₀.D₄	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₅	240		Dic5:1C12	240,41
Dic₅⋊₂C₁₂ = C₁₂×F₅	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₅	60	4	Dic5:2C12	240,113
Dic₅⋊₃C₁₂ = C₃×C₄⋊F₅	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₅	60	4	Dic5:3C12	240,114

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁C₁₂ = C₃×C₈⋊D₅	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₅	120	2	Dic5.1C12	240,34
Dic₅.₂C₁₂ = C₆×C₅⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₅	240		Dic5.2C12	240,115
Dic₅.₃C₁₂ = C₃×C₂².F₅	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₅	120	4	Dic5.3C12	240,116
Dic₅.₄C₁₂ = D₅×C₂₄	φ: trivial image	120	2	Dic5.4C12	240,33

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