Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅×S₃

Direct product G=N×Q with N=C₂² and Q=C₅×S₃

		d	ρ	Label	ID
S₃×C₂×C₁₀		60		S3xC2xC10	120,45

Semidirect products G=N:Q with N=C₂² and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₅×S₃) = C₅×S₄	φ: C₅×S₃/C₅ → S₃ ⊆ Aut C₂²	20	3	C2^2:(C5xS3)	120,37
C₂²⋊₂(C₅×S₃) = C₅×C₃⋊D₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂²	60	2	C2^2:2(C5xS3)	120,25

Non-split extensions G=N.Q with N=C₂² and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₅×S₃) = C₁₀×Dic₃	central extension (φ=1)	120		C2^2.(C5xS3)	120,24

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Extensions 1→N→G→Q→1 with N=C22 and Q=C5×S3