Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂×C₃₀

Direct product G=N×Q with N=C₆ and Q=C₂×C₃₀

		d	ρ	Label	ID
C₂×C₆×C₃₀		360		C2xC6xC30	360,162

Semidirect products G=N:Q with N=C₆ and Q=C₂×C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₂×C₃₀) = S₃×C₂×C₃₀	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₆	120		C6:(C2xC30)	360,158

Non-split extensions G=N.Q with N=C₆ and Q=C₂×C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂×C₃₀) = C₁₅×Dic₆	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₆	120	2	C6.1(C2xC30)	360,95
C₆.₂(C₂×C₃₀) = S₃×C₆₀	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₆	120	2	C6.2(C2xC30)	360,96
C₆.₃(C₂×C₃₀) = C₁₅×D₁₂	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₆	120	2	C6.3(C2xC30)	360,97
C₆.₄(C₂×C₃₀) = Dic₃×C₃₀	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₆	120		C6.4(C2xC30)	360,98
C₆.₅(C₂×C₃₀) = C₁₅×C₃⋊D₄	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₆	60	2	C6.5(C2xC30)	360,99
C₆.₆(C₂×C₃₀) = D₄×C₄₅	central extension (φ=1)	180	2	C6.6(C2xC30)	360,31
C₆.₇(C₂×C₃₀) = Q₈×C₄₅	central extension (φ=1)	360	2	C6.7(C2xC30)	360,32
C₆.₈(C₂×C₃₀) = D₄×C₃×C₁₅	central extension (φ=1)	180		C6.8(C2xC30)	360,116
C₆.₉(C₂×C₃₀) = Q₈×C₃×C₁₅	central extension (φ=1)	360		C6.9(C2xC30)	360,117

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