Extensions 1→N→G→Q→1 with N=C₃₀ and Q=D₅

Direct product G=N×Q with N=C₃₀ and Q=D₅

		d	ρ	Label	ID
D₅×C₃₀		60	2	D5xC30	300,44

Semidirect products G=N:Q with N=C₃₀ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀⋊₁D₅ = C₂×C₅⋊D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃₀	150		C30:1D5	300,48
C₃₀⋊₂D₅ = C₆×C₅⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃₀	150		C30:2D5	300,45
C₃₀⋊₃D₅ = C₁₀×D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃₀	60	2	C30:3D5	300,47

Non-split extensions G=N.Q with N=C₃₀ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀.₁D₅ = Dic₇₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃₀	300	2-	C30.1D5	300,3
C₃₀.₂D₅ = D₁₅₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃₀	150	2+	C30.2D5	300,11
C₃₀.₃D₅ = C₃₀.D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃₀	300		C30.3D5	300,20
C₃₀.₄D₅ = C₃×Dic₂₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃₀	300	2	C30.4D5	300,2
C₃₀.₅D₅ = C₆×D₂₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃₀	150	2	C30.5D5	300,9
C₃₀.₆D₅ = C₃×C₅²⋊₆C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₃₀	300		C30.6D5	300,17
C₃₀.₇D₅ = C₅×Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃₀	60	2	C30.7D5	300,19
C₃₀.₈D₅ = C₁₅×Dic₅	central extension (φ=1)	60	2	C30.8D5	300,16

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