Extensions 1→N→G→Q→1 with N=C₃⋊C₈ and Q=D₅

Direct product G=N×Q with N=C₃⋊C₈ and Q=D₅

		d	ρ	Label	ID
D₅×C₃⋊C₈		120	4	D5xC3:C8	240,7

Semidirect products G=N:Q with N=C₃⋊C₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈⋊₁D₅ = C₃⋊D₄₀	φ: D₅/C₅ → C₂ ⊆ Out C₃⋊C₈	120	4+	C3:C8:1D5	240,14
C₃⋊C₈⋊₂D₅ = C₆.D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₃⋊C₈	120	4-	C3:C8:2D5	240,18
C₃⋊C₈⋊₃D₅ = C₁₅⋊SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₃⋊C₈	120	4+	C3:C8:3D5	240,19
C₃⋊C₈⋊₄D₅ = C₂₀.₃₂D₆	φ: D₅/C₅ → C₂ ⊆ Out C₃⋊C₈	120	4	C3:C8:4D5	240,10
C₃⋊C₈⋊₅D₅ = D₃₀.₅C₄	φ: D₅/C₅ → C₂ ⊆ Out C₃⋊C₈	120	4	C3:C8:5D5	240,12
C₃⋊C₈⋊₆D₅ = D₁₅⋊₂C₈	φ: trivial image	120	4	C3:C8:6D5	240,9

Non-split extensions G=N.Q with N=C₃⋊C₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈.D₅ = C₃⋊Dic₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₃⋊C₈	240	4-	C3:C8.D5	240,23

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