Extensions 1→N→G→Q→1 with N=C₉ and Q=C₄×S₃

Direct product G=N×Q with N=C₉ and Q=C₄×S₃

		d	ρ	Label	ID
S₃×C₃₆		72	2	S3xC36	216,47

Semidirect products G=N:Q with N=C₉ and Q=C₄×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₄×S₃) = C₁₈.D₆	φ: C₄×S₃/Dic₃ → C₂ ⊆ Aut C₉	36	4+	C9:1(C4xS3)	216,28
C₉⋊₂(C₄×S₃) = C₄×C₉⋊S₃	φ: C₄×S₃/C₁₂ → C₂ ⊆ Aut C₉	108		C9:2(C4xS3)	216,64
C₉⋊₃(C₄×S₃) = S₃×Dic₉	φ: C₄×S₃/D₆ → C₂ ⊆ Aut C₉	72	4-	C9:3(C4xS3)	216,30

Non-split extensions G=N.Q with N=C₉ and Q=C₄×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₄×S₃) = C₄×D₂₇	φ: C₄×S₃/C₁₂ → C₂ ⊆ Aut C₉	108	2	C9.(C4xS3)	216,5

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C9 and Q=C4×S3