Extensions 1→N→G→Q→1 with N=C₆ and Q=C₅xDic₃

Direct product G=NxQ with N=C₆ and Q=C₅xDic₃

		d	ρ	Label	ID
Dic₃xC₃₀		120		Dic3xC30	360,98

Semidirect products G=N:Q with N=C₆ and Q=C₅xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₅xDic₃) = C₁₀xC₃:Dic₃	φ: C₅xDic₃/C₃₀ → C₂ ⊆ Aut C₆	360		C6:(C5xDic3)	360,108

Non-split extensions G=N.Q with N=C₆ and Q=C₅xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₅xDic₃) = C₅xC₉:C₈	φ: C₅xDic₃/C₃₀ → C₂ ⊆ Aut C₆	360	2	C6.1(C5xDic3)	360,1
C₆.₂(C₅xDic₃) = C₁₀xDic₉	φ: C₅xDic₃/C₃₀ → C₂ ⊆ Aut C₆	360		C6.2(C5xDic3)	360,23
C₆.₃(C₅xDic₃) = C₅xC₃²:₄C₈	φ: C₅xDic₃/C₃₀ → C₂ ⊆ Aut C₆	360		C6.3(C5xDic3)	360,36
C₆.₄(C₅xDic₃) = C₁₅xC₃:C₈	central extension (φ=1)	120	2	C6.4(C5xDic3)	360,34

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