Extensions 1→N→G→Q→1 with N=C₃×C₃₀ and Q=C₂

Direct product G=N×Q with N=C₃×C₃₀ and Q=C₂

		d	ρ	Label	ID
C₆×C₃₀		180		C6xC30	180,37

Semidirect products G=N:Q with N=C₃×C₃₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₃₀)⋊₁C₂ = C₂×C₃⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₀	90		(C3xC30):1C2	180,36
(C₃×C₃₀)⋊₂C₂ = C₆×D₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₀	60	2	(C3xC30):2C2	180,34
(C₃×C₃₀)⋊₃C₂ = D₅×C₃×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₀	90		(C3xC30):3C2	180,32
(C₃×C₃₀)⋊₄C₂ = S₃×C₃₀	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₀	60	2	(C3xC30):4C2	180,33
(C₃×C₃₀)⋊₅C₂ = C₁₀×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₀	90		(C3xC30):5C2	180,35

Non-split extensions G=N.Q with N=C₃×C₃₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₃₀).₁C₂ = C₃⋊Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₀	180		(C3xC30).1C2	180,17
(C₃×C₃₀).₂C₂ = C₃×Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₀	60	2	(C3xC30).2C2	180,15
(C₃×C₃₀).₃C₂ = C₃²×Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₀	180		(C3xC30).3C2	180,13
(C₃×C₃₀).₄C₂ = Dic₃×C₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₀	60	2	(C3xC30).4C2	180,14
(C₃×C₃₀).₅C₂ = C₅×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₀	180		(C3xC30).5C2	180,16

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