Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅×Dic₃

Direct product G=N×Q with N=C₄ and Q=C₅×Dic₃

		d	ρ	Label	ID
Dic₃×C₂₀		240		Dic3xC20	240,56

Semidirect products G=N:Q with N=C₄ and Q=C₅×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅×Dic₃) = C₅×C₄⋊Dic₃	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Aut C₄	240		C4:(C5xDic3)	240,58

Non-split extensions G=N.Q with N=C₄ and Q=C₅×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅×Dic₃) = C₅×C₄.Dic₃	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Aut C₄	120	2	C4.(C5xDic3)	240,55
C₄.₂(C₅×Dic₃) = C₅×C₃⋊C₁₆	central extension (φ=1)	240	2	C4.2(C5xDic3)	240,1
C₄.₃(C₅×Dic₃) = C₁₀×C₃⋊C₈	central extension (φ=1)	240		C4.3(C5xDic3)	240,54

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Extensions 1→N→G→Q→1 with N=C4 and Q=C5×Dic3