Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃⋊S₃

Direct product G=N×Q with N=C₂² and Q=C₃⋊S₃

		d	ρ	Label	ID
C₂²×C₃⋊S₃		36		C2^2xC3:S3	72,49

Semidirect products G=N:Q with N=C₂² and Q=C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃⋊S₃) = C₃⋊S₄	φ: C₃⋊S₃/C₃ → S₃ ⊆ Aut C₂²	12	6+	C2^2:(C3:S3)	72,43
C₂²⋊₂(C₃⋊S₃) = C₃²⋊₇D₄	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₂²	36		C2^2:2(C3:S3)	72,35

Non-split extensions G=N.Q with N=C₂² and Q=C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃⋊S₃) = C₂×C₃⋊Dic₃	central extension (φ=1)	72		C2^2.(C3:S3)	72,34

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Extensions 1→N→G→Q→1 with N=C22 and Q=C3⋊S3