Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃×Dic₅

Direct product G=N×Q with N=C₄ and Q=C₃×Dic₅

		d	ρ	Label	ID
C₁₂×Dic₅		240		C12xDic5	240,40

Semidirect products G=N:Q with N=C₄ and Q=C₃×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃×Dic₅) = C₃×C₄⋊Dic₅	φ: C₃×Dic₅/C₃₀ → C₂ ⊆ Aut C₄	240		C4:(C3xDic5)	240,42

Non-split extensions G=N.Q with N=C₄ and Q=C₃×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃×Dic₅) = C₃×C₄.Dic₅	φ: C₃×Dic₅/C₃₀ → C₂ ⊆ Aut C₄	120	2	C4.(C3xDic5)	240,39
C₄.₂(C₃×Dic₅) = C₃×C₅⋊₂C₁₆	central extension (φ=1)	240	2	C4.2(C3xDic5)	240,2
C₄.₃(C₃×Dic₅) = C₆×C₅⋊₂C₈	central extension (φ=1)	240		C4.3(C3xDic5)	240,38

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Extensions 1→N→G→Q→1 with N=C4 and Q=C3×Dic5