Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆×Dic₅

Direct product G=N×Q with N=C₃ and Q=C₆×Dic₅

		d	ρ	Label	ID
C₃×C₆×Dic₅		360		C3xC6xDic5	360,93

Semidirect products G=N:Q with N=C₃ and Q=C₆×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆×Dic₅) = C₃×S₃×Dic₅	φ: C₆×Dic₅/C₃×Dic₅ → C₂ ⊆ Aut C₃	120	4	C3:1(C6xDic5)	360,59
C₃⋊₂(C₆×Dic₅) = C₆×Dic₁₅	φ: C₆×Dic₅/C₂×C₃₀ → C₂ ⊆ Aut C₃	120		C3:2(C6xDic5)	360,103

Non-split extensions G=N.Q with N=C₃ and Q=C₆×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆×Dic₅) = C₁₈×Dic₅	central extension (φ=1)	360		C3.(C6xDic5)	360,18

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6×Dic5