Extensions 1→N→G→Q→1 with N=C₉ and Q=D₄⋊S₃

Direct product G=N×Q with N=C₉ and Q=D₄⋊S₃

		d	ρ	Label	ID
C₉×D₄⋊S₃		72	4	C9xD4:S3	432,150

Semidirect products G=N:Q with N=C₉ and Q=D₄⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(D₄⋊S₃) = C₃⋊D₇₂	φ: D₄⋊S₃/C₃⋊C₈ → C₂ ⊆ Aut C₉	72	4+	C9:1(D4:S3)	432,64
C₉⋊₂(D₄⋊S₃) = D₃₆⋊S₃	φ: D₄⋊S₃/D₁₂ → C₂ ⊆ Aut C₉	144	4	C9:2(D4:S3)	432,68
C₉⋊₃(D₄⋊S₃) = C₃₆.₁₈D₆	φ: D₄⋊S₃/C₃×D₄ → C₂ ⊆ Aut C₉	216		C9:3(D4:S3)	432,191

Non-split extensions G=N.Q with N=C₉ and Q=D₄⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(D₄⋊S₃) = D₄⋊D₂₇	φ: D₄⋊S₃/C₃×D₄ → C₂ ⊆ Aut C₉	216	4+	C9.(D4:S3)	432,16

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C9 and Q=D4⋊S3