Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₃×Dic₃

Direct product G=N×Q with N=C₁₀ and Q=C₃×Dic₃

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

Semidirect products G=N:Q with N=C₁₀ and Q=C₃×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₃×Dic₃) = C₆×C₃⋊F₅	φ: C₃×Dic₃/C₃² → C₄ ⊆ Aut C₁₀	60	4	C10:(C3xDic3)	360,146
C₁₀⋊₂(C₃×Dic₃) = C₆×Dic₁₅	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₁₀	120		C10:2(C3xDic3)	360,103

Non-split extensions G=N.Q with N=C₁₀ and Q=C₃×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(C₃×Dic₃) = C₃×C₁₅⋊C₈	φ: C₃×Dic₃/C₃² → C₄ ⊆ Aut C₁₀	120	4	C10.(C3xDic3)	360,53
C₁₀.₂(C₃×Dic₃) = C₃×C₁₅⋊₃C₈	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₁₀	120	2	C10.2(C3xDic3)	360,35
C₁₀.₃(C₃×Dic₃) = C₁₅×C₃⋊C₈	central extension (φ=1)	120	2	C10.3(C3xDic3)	360,34

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Extensions 1→N→G→Q→1 with N=C10 and Q=C3×Dic3