Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃×D₅

Direct product G=N×Q with N=C₄ and Q=C₃×D₅

		d	ρ	Label	ID
D₅×C₁₂		60	2	D5xC12	120,17

Semidirect products G=N:Q with N=C₄ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃×D₅) = C₃×D₂₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₄	60	2	C4:(C3xD5)	120,18

Non-split extensions G=N.Q with N=C₄ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃×D₅) = C₃×Dic₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₄	120	2	C4.(C3xD5)	120,16
C₄.₂(C₃×D₅) = C₃×C₅⋊₂C₈	central extension (φ=1)	120	2	C4.2(C3xD5)	120,2

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Extensions 1→N→G→Q→1 with N=C4 and Q=C3×D5