Extensions 1→N→G→Q→1 with N=C₃×C₆₀ and Q=C₂

Direct product G=N×Q with N=C₃×C₆₀ and Q=C₂

		d	ρ	Label	ID
C₆×C₆₀		360		C6xC60	360,115

Semidirect products G=N:Q with N=C₃×C₆₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆₀)⋊₁C₂ = C₆₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	180		(C3xC60):1C2	360,112
(C₃×C₆₀)⋊₂C₂ = C₃×D₆₀	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	120	2	(C3xC60):2C2	360,102
(C₃×C₆₀)⋊₃C₂ = C₄×C₃⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	180		(C3xC60):3C2	360,111
(C₃×C₆₀)⋊₄C₂ = C₁₂×D₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	120	2	(C3xC60):4C2	360,101
(C₃×C₆₀)⋊₅C₂ = C₃²×D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	180		(C3xC60):5C2	360,92
(C₃×C₆₀)⋊₆C₂ = C₅×C₁₂⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	180		(C3xC60):6C2	360,107
(C₃×C₆₀)⋊₇C₂ = C₁₅×D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	120	2	(C3xC60):7C2	360,97
(C₃×C₆₀)⋊₈C₂ = D₅×C₃×C₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	180		(C3xC60):8C2	360,91
(C₃×C₆₀)⋊₉C₂ = S₃×C₆₀	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	120	2	(C3xC60):9C2	360,96
(C₃×C₆₀)⋊₁₀C₂ = C₃⋊S₃×C₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	180		(C3xC60):10C2	360,106
(C₃×C₆₀)⋊₁₁C₂ = D₄×C₃×C₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	180		(C3xC60):11C2	360,116

Non-split extensions G=N.Q with N=C₃×C₆₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆₀).₁C₂ = C₁₂.D₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	360		(C3xC60).1C2	360,110
(C₃×C₆₀).₂C₂ = C₃×Dic₃₀	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	120	2	(C3xC60).2C2	360,100
(C₃×C₆₀).₃C₂ = C₆₀.S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	360		(C3xC60).3C2	360,37
(C₃×C₆₀).₄C₂ = C₃×C₁₅⋊₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	120	2	(C3xC60).4C2	360,35
(C₃×C₆₀).₅C₂ = C₃²×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	360		(C3xC60).5C2	360,90
(C₃×C₆₀).₆C₂ = C₅×C₃²⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	360		(C3xC60).6C2	360,105
(C₃×C₆₀).₇C₂ = C₁₅×Dic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	120	2	(C3xC60).7C2	360,95
(C₃×C₆₀).₈C₂ = C₃²×C₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	360		(C3xC60).8C2	360,33
(C₃×C₆₀).₉C₂ = C₁₅×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	120	2	(C3xC60).9C2	360,34
(C₃×C₆₀).₁₀C₂ = C₅×C₃²⋊₄C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	360		(C3xC60).10C2	360,36
(C₃×C₆₀).₁₁C₂ = Q₈×C₃×C₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₀	360		(C3xC60).11C2	360,117

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