Extensions 1→N→G→Q→1 with N=C₃₀ and Q=C₆

Direct product G=NxQ with N=C₃₀ and Q=C₆

		d	ρ	Label	ID
C₆xC₃₀		180		C6xC30	180,37

Semidirect products G=N:Q with N=C₃₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀:₁C₆ = C₆xD₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₃₀	60	2	C30:1C6	180,34
C₃₀:₂C₆ = D₅xC₃xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₃₀	90		C30:2C6	180,32
C₃₀:₃C₆ = S₃xC₃₀	φ: C₆/C₃ → C₂ ⊆ Aut C₃₀	60	2	C30:3C6	180,33

Non-split extensions G=N.Q with N=C₃₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀.₁C₆ = C₃xDic₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₃₀	60	2	C30.1C6	180,15
C₃₀.₂C₆ = C₉xDic₅	φ: C₆/C₃ → C₂ ⊆ Aut C₃₀	180	2	C30.2C6	180,2
C₃₀.₃C₆ = D₅xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₃₀	90	2	C30.3C6	180,9
C₃₀.₄C₆ = C₃²xDic₅	φ: C₆/C₃ → C₂ ⊆ Aut C₃₀	180		C30.4C6	180,13
C₃₀.₅C₆ = Dic₃xC₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₃₀	60	2	C30.5C6	180,14

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