Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃⋊S₃⋊₃C₈

Direct product G=N×Q with N=C₃ and Q=C₃⋊S₃⋊₃C₈

		d	ρ	Label	ID
C₃×C₃⋊S₃⋊₃C₈		48	4	C3xC3:S3:3C8	432,628

Semidirect products G=N:Q with N=C₃ and Q=C₃⋊S₃⋊₃C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃⋊S₃⋊₃C₈) = C₃³⋊₅(C₂×C₈)	φ: C₃⋊S₃⋊₃C₈/C₃²⋊₂C₈ → C₂ ⊆ Aut C₃	24	8+	C3:1(C3:S3:3C8)	432,571
C₃⋊₂(C₃⋊S₃⋊₃C₈) = C₃³⋊₇(C₂×C₈)	φ: C₃⋊S₃⋊₃C₈/C₄×C₃⋊S₃ → C₂ ⊆ Aut C₃	48	4	C3:2(C3:S3:3C8)	432,635

Non-split extensions G=N.Q with N=C₃ and Q=C₃⋊S₃⋊₃C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃⋊S₃⋊₃C₈) = He₃⋊₂(C₂×C₈)	central stem extension (φ=1)	72	3	C3.(C3:S3:3C8)	432,273

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3⋊S3⋊3C8