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	432,151

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) = D₃₆.S₃	φ: D₄.S₃/C₃⋊C₈ → C₂ ⊆ Aut C₉	144	4-	C9:1(D4.S3)	432,62
C₉⋊₂(D₄.S₃) = Dic₆⋊D₉	φ: D₄.S₃/Dic₆ → C₂ ⊆ Aut C₉	144	4	C9:2(D4.S3)	432,72
C₉⋊₃(D₄.S₃) = C₃₆.₁₇D₆	φ: D₄.S₃/C₃×D₄ → C₂ ⊆ Aut C₉	216		C9:3(D4.S3)	432,190

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)	432,15

⋊

ℤ

𝔽

○

≀

ℚ

◁

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