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
Q₁₆×C₃×C₉		432		Q16xC3xC9	432,221

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) = C₇₂.C₆	φ: C₃×Q₁₆/C₈ → C₆ ⊆ Aut C₉	144	6-	C9:1(C3xQ16)	432,119
C₉⋊₂(C₃×Q₁₆) = Dic₁₈.C₆	φ: C₃×Q₁₆/Q₈ → C₆ ⊆ Aut C₉	144	12-	C9:2(C3xQ16)	432,162
C₉⋊₃(C₃×Q₁₆) = Q₁₆×3_-¹⁺²	φ: C₃×Q₁₆/Q₁₆ → C₃ ⊆ Aut C₉	144	6	C9:3(C3xQ16)	432,223
C₉⋊₄(C₃×Q₁₆) = C₃×Dic₃₆	φ: C₃×Q₁₆/C₂₄ → C₂ ⊆ Aut C₉	144	2	C9:4(C3xQ16)	432,104
C₉⋊₅(C₃×Q₁₆) = C₃×C₉⋊Q₁₆	φ: C₃×Q₁₆/C₃×Q₈ → C₂ ⊆ Aut C₉	144	4	C9:5(C3xQ16)	432,156

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) = Q₁₆×C₂₇	central extension (φ=1)	432	2	C9.(C3xQ16)	432,27

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