Extensions 1→N→G→Q→1 with N=C₁₆ and Q=C₃×D₅

Direct product G=N×Q with N=C₁₆ and Q=C₃×D₅

		d	ρ	Label	ID
D₅×C₄₈		240	2	D5xC48	480,75

Semidirect products G=N:Q with N=C₁₆ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁(C₃×D₅) = C₃×D₈₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₆	240	2	C16:1(C3xD5)	480,77
C₁₆⋊₂(C₃×D₅) = C₃×C₁₆⋊D₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₆	240	2	C16:2(C3xD5)	480,78
C₁₆⋊₃(C₃×D₅) = C₃×C₈₀⋊C₂	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₆	240	2	C16:3(C3xD5)	480,76

Non-split extensions G=N.Q with N=C₁₆ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.(C₃×D₅) = C₃×Dic₄₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₆	480	2	C16.(C3xD5)	480,79
C₁₆.₂(C₃×D₅) = C₃×C₅⋊₂C₃₂	central extension (φ=1)	480	2	C16.2(C3xD5)	480,2

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C16 and Q=C3×D5