Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅×C₃⋊S₃

Direct product G=N×Q with N=C₄ and Q=C₅×C₃⋊S₃

		d	ρ	Label	ID
C₃⋊S₃×C₂₀		180		C3:S3xC20	360,106

Semidirect products G=N:Q with N=C₄ and Q=C₅×C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅×C₃⋊S₃) = C₅×C₁₂⋊S₃	φ: C₅×C₃⋊S₃/C₃×C₁₅ → C₂ ⊆ Aut C₄	180		C4:(C5xC3:S3)	360,107

Non-split extensions G=N.Q with N=C₄ and Q=C₅×C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅×C₃⋊S₃) = C₅×C₃²⋊₄Q₈	φ: C₅×C₃⋊S₃/C₃×C₁₅ → C₂ ⊆ Aut C₄	360		C4.(C5xC3:S3)	360,105
C₄.₂(C₅×C₃⋊S₃) = C₅×C₃²⋊₄C₈	central extension (φ=1)	360		C4.2(C5xC3:S3)	360,36

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Extensions 1→N→G→Q→1 with N=C4 and Q=C5×C3⋊S3