Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅×Dic₆

Direct product G=N×Q with N=C₃ and Q=C₅×Dic₆

		d	ρ	Label	ID
C₁₅×Dic₆		120	2	C15xDic6	360,95

Semidirect products G=N:Q with N=C₃ and Q=C₅×Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₅×Dic₆) = C₅×C₃²⋊₂Q₈	φ: C₅×Dic₆/C₅×Dic₃ → C₂ ⊆ Aut C₃	120	4	C3:1(C5xDic6)	360,76
C₃⋊₂(C₅×Dic₆) = C₅×C₃²⋊₄Q₈	φ: C₅×Dic₆/C₆₀ → C₂ ⊆ Aut C₃	360		C3:2(C5xDic6)	360,105

Non-split extensions G=N.Q with N=C₃ and Q=C₅×Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₅×Dic₆) = C₅×Dic₁₈	φ: C₅×Dic₆/C₆₀ → C₂ ⊆ Aut C₃	360	2	C3.(C5xDic6)	360,20

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Extensions 1→N→G→Q→1 with N=C3 and Q=C5×Dic6