Extensions 1→N→G→Q→1 with N=C₁₅ and Q=Dic₇

Direct product G=N×Q with N=C₁₅ and Q=Dic₇

		d	ρ	Label	ID
C₁₅×Dic₇		420	2	C15xDic7	420,5

Semidirect products G=N:Q with N=C₁₅ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁Dic₇ = C₅⋊Dic₂₁	φ: Dic₇/C₇ → C₄ ⊆ Aut C₁₅	105	4	C15:1Dic7	420,23
C₁₅⋊₂Dic₇ = C₃×C₇⋊F₅	φ: Dic₇/C₇ → C₄ ⊆ Aut C₁₅	105	4	C15:2Dic7	420,21
C₁₅⋊₃Dic₇ = Dic₁₀₅	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₅	420	2-	C15:3Dic7	420,11
C₁₅⋊₄Dic₇ = C₃×Dic₃₅	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₅	420	2	C15:4Dic7	420,7
C₁₅⋊₅Dic₇ = C₅×Dic₂₁	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₅	420	2	C15:5Dic7	420,9

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