Extensions 1→N→G→Q→1 with N=C₆ and Q=C₅×Dic₃

Direct product G=N×Q with N=C₆ and Q=C₅×Dic₃

		d	ρ	Label	ID
Dic₃×C₃₀		120		Dic3xC30	360,98

Semidirect products G=N:Q with N=C₆ and Q=C₅×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₅×Dic₃) = C₁₀×C₃⋊Dic₃	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Aut C₆	360		C6:(C5xDic3)	360,108

Non-split extensions G=N.Q with N=C₆ and Q=C₅×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₅×Dic₃) = C₅×C₉⋊C₈	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Aut C₆	360	2	C6.1(C5xDic3)	360,1
C₆.₂(C₅×Dic₃) = C₁₀×Dic₉	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Aut C₆	360		C6.2(C5xDic3)	360,23
C₆.₃(C₅×Dic₃) = C₅×C₃²⋊₄C₈	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Aut C₆	360		C6.3(C5xDic3)	360,36
C₆.₄(C₅×Dic₃) = C₁₅×C₃⋊C₈	central extension (φ=1)	120	2	C6.4(C5xDic3)	360,34

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