Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃×C₁₅

Direct product G=N×Q with N=C₄ and Q=S₃×C₁₅

		d	ρ	Label	ID
S₃×C₆₀		120	2	S3xC60	360,96

Semidirect products G=N:Q with N=C₄ and Q=S₃×C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(S₃×C₁₅) = C₁₅×D₁₂	φ: S₃×C₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₄	120	2	C4:(S3xC15)	360,97

Non-split extensions G=N.Q with N=C₄ and Q=S₃×C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(S₃×C₁₅) = C₁₅×Dic₆	φ: S₃×C₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₄	120	2	C4.(S3xC15)	360,95
C₄.₂(S₃×C₁₅) = C₁₅×C₃⋊C₈	central extension (φ=1)	120	2	C4.2(S3xC15)	360,34

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Extensions 1→N→G→Q→1 with N=C4 and Q=S3×C15