Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃×M₄(2)

Direct product G=N×Q with N=C₃ and Q=S₃×M₄(2)

		d	ρ	Label	ID
C₃×S₃×M₄(2)		48	4	C3xS3xM4(2)	288,677

Semidirect products G=N:Q with N=C₃ and Q=S₃×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(S₃×M₄(2)) = S₃×C₈⋊S₃	φ: S₃×M₄(2)/S₃×C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(S3xM4(2))	288,438
C₃⋊₂(S₃×M₄(2)) = C₂₄⋊D₆	φ: S₃×M₄(2)/C₈⋊S₃ → C₂ ⊆ Aut C₃	48	4	C3:2(S3xM4(2))	288,439
C₃⋊₃(S₃×M₄(2)) = C₃⋊C₈⋊₂₀D₆	φ: S₃×M₄(2)/C₄.Dic₃ → C₂ ⊆ Aut C₃	24	4	C3:3(S3xM4(2))	288,466
C₃⋊₄(S₃×M₄(2)) = M₄(2)×C₃⋊S₃	φ: S₃×M₄(2)/C₃×M₄(2) → C₂ ⊆ Aut C₃	72		C3:4(S3xM4(2))	288,763
C₃⋊₅(S₃×M₄(2)) = S₃×C₄.Dic₃	φ: S₃×M₄(2)/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	48	4	C3:5(S3xM4(2))	288,461

Non-split extensions G=N.Q with N=C₃ and Q=S₃×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃×M₄(2)) = M₄(2)×D₉	φ: S₃×M₄(2)/C₃×M₄(2) → C₂ ⊆ Aut C₃	72	4	C3.(S3xM4(2))	288,116

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