Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅×S₃

Direct product G=N×Q with N=C₄ and Q=C₅×S₃

		d	ρ	Label	ID
S₃×C₂₀		60	2	S3xC20	120,22

Semidirect products G=N:Q with N=C₄ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅×S₃) = C₅×D₁₂	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₄	60	2	C4:(C5xS3)	120,23

Non-split extensions G=N.Q with N=C₄ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅×S₃) = C₅×Dic₆	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₄	120	2	C4.(C5xS3)	120,21
C₄.₂(C₅×S₃) = C₅×C₃⋊C₈	central extension (φ=1)	120	2	C4.2(C5xS3)	120,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=C5×S3