Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃⋊Q₁₆

Direct product G=N×Q with N=C₉ and Q=C₃⋊Q₁₆

		d	ρ	Label	ID
C₉×C₃⋊Q₁₆		144	4	C9xC3:Q16	432,159

Semidirect products G=N:Q with N=C₉ and Q=C₃⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₃⋊Q₁₆) = C₃⋊Dic₃₆	φ: C₃⋊Q₁₆/C₃⋊C₈ → C₂ ⊆ Aut C₉	144	4-	C9:1(C3:Q16)	432,65
C₉⋊₂(C₃⋊Q₁₆) = C₁₂.D₁₈	φ: C₃⋊Q₁₆/Dic₆ → C₂ ⊆ Aut C₉	144	4	C9:2(C3:Q16)	432,74
C₉⋊₃(C₃⋊Q₁₆) = C₃₆.₁₉D₆	φ: C₃⋊Q₁₆/C₃×Q₈ → C₂ ⊆ Aut C₉	432		C9:3(C3:Q16)	432,194

Non-split extensions G=N.Q with N=C₉ and Q=C₃⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃⋊Q₁₆) = C₂₇⋊Q₁₆	φ: C₃⋊Q₁₆/C₃×Q₈ → C₂ ⊆ Aut C₉	432	4-	C9.(C3:Q16)	432,17

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Extensions 1→N→G→Q→1 with N=C9 and Q=C3⋊Q16