Extensions 1→N→G→Q→1 with N=C₄₈ and Q=C₁₀

Direct product G=N×Q with N=C₄₈ and Q=C₁₀

		d	ρ	Label	ID
C₂×C₂₄₀		480		C2xC240	480,212

Semidirect products G=N:Q with N=C₄₈ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₈⋊₁C₁₀ = C₅×D₄₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₈	240	2	C48:1C10	480,118
C₄₈⋊₂C₁₀ = C₅×C₄₈⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₈	240	2	C48:2C10	480,119
C₄₈⋊₃C₁₀ = C₁₅×D₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₈	240	2	C48:3C10	480,214
C₄₈⋊₄C₁₀ = C₁₅×SD₃₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₈	240	2	C48:4C10	480,215
C₄₈⋊₅C₁₀ = S₃×C₈₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₈	240	2	C48:5C10	480,116
C₄₈⋊₆C₁₀ = C₅×D₆.C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₈	240	2	C48:6C10	480,117
C₄₈⋊₇C₁₀ = C₁₅×M₅(2)	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₈	240	2	C48:7C10	480,213

Non-split extensions G=N.Q with N=C₄₈ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₈.₁C₁₀ = C₅×Dic₂₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₈	480	2	C48.1C10	480,120
C₄₈.₂C₁₀ = C₁₅×Q₃₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₈	480	2	C48.2C10	480,216
C₄₈.₃C₁₀ = C₅×C₃⋊C₃₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₈	480	2	C48.3C10	480,1

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