Extensions 1→N→G→Q→1 with N=C₄₈ and Q=D₅

Direct product G=N×Q with N=C₄₈ and Q=D₅

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

Semidirect products G=N:Q with N=C₄₈ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₈⋊₁D₅ = D₂₄₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄₈	240	2+	C48:1D5	480,159
C₄₈⋊₂D₅ = C₄₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₈	240	2	C48:2D5	480,160
C₄₈⋊₃D₅ = C₃×D₈₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄₈	240	2	C48:3D5	480,77
C₄₈⋊₄D₅ = C₃×C₁₆⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₈	240	2	C48:4D5	480,78
C₄₈⋊₅D₅ = C₁₆×D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₈	240	2	C48:5D5	480,157
C₄₈⋊₆D₅ = C₈₀⋊S₃	φ: D₅/C₅ → C₂ ⊆ Aut C₄₈	240	2	C48:6D5	480,158
C₄₈⋊₇D₅ = C₃×C₈₀⋊C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₄₈	240	2	C48:7D5	480,76

Non-split extensions G=N.Q with N=C₄₈ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₈.₁D₅ = Dic₁₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄₈	480	2-	C48.1D5	480,161
C₄₈.₂D₅ = C₃×Dic₄₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄₈	480	2	C48.2D5	480,79
C₄₈.₃D₅ = C₁₅⋊₃C₃₂	φ: D₅/C₅ → C₂ ⊆ Aut C₄₈	480	2	C48.3D5	480,3
C₄₈.₄D₅ = C₃×C₅⋊₂C₃₂	central extension (φ=1)	480	2	C48.4D5	480,2

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