Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₂₈

Direct product G=N×Q with N=C₁₅ and Q=C₂₈

		d	ρ	Label	ID
C₄₂₀		420	1	C420	420,12

Semidirect products G=N:Q with N=C₁₅ and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁C₂₈ = C₇×C₃⋊F₅	φ: C₂₈/C₇ → C₄ ⊆ Aut C₁₅	105	4	C15:1C28	420,22
C₁₅⋊₂C₂₈ = F₅×C₂₁	φ: C₂₈/C₇ → C₄ ⊆ Aut C₁₅	105	4	C15:2C28	420,20
C₁₅⋊₃C₂₈ = C₇×Dic₁₅	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₁₅	420	2	C15:3C28	420,10
C₁₅⋊₄C₂₈ = Dic₅×C₂₁	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₁₅	420	2	C15:4C28	420,6
C₁₅⋊₅C₂₈ = Dic₃×C₃₅	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₁₅	420	2	C15:5C28	420,8

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