Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃×SD₁₆

Direct product G=N×Q with N=C₉ and Q=C₃×SD₁₆

		d	ρ	Label	ID
SD₁₆×C₃×C₉		216		SD16xC3xC9	432,218

Semidirect products G=N:Q with N=C₉ and Q=C₃×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₃×SD₁₆) = C₇₂⋊₂C₆	φ: C₃×SD₁₆/C₈ → C₆ ⊆ Aut C₉	72	6	C9:1(C3xSD16)	432,122
C₉⋊₂(C₃×SD₁₆) = Dic₁₈⋊C₆	φ: C₃×SD₁₆/D₄ → C₆ ⊆ Aut C₉	72	12-	C9:2(C3xSD16)	432,154
C₉⋊₃(C₃×SD₁₆) = D₃₆.C₆	φ: C₃×SD₁₆/Q₈ → C₆ ⊆ Aut C₉	72	12+	C9:3(C3xSD16)	432,163
C₉⋊₄(C₃×SD₁₆) = SD₁₆×3_-¹⁺²	φ: C₃×SD₁₆/SD₁₆ → C₃ ⊆ Aut C₉	72	6	C9:4(C3xSD16)	432,220
C₉⋊₅(C₃×SD₁₆) = C₃×C₇₂⋊C₂	φ: C₃×SD₁₆/C₂₄ → C₂ ⊆ Aut C₉	144	2	C9:5(C3xSD16)	432,107
C₉⋊₆(C₃×SD₁₆) = C₃×D₄.D₉	φ: C₃×SD₁₆/C₃×D₄ → C₂ ⊆ Aut C₉	72	4	C9:6(C3xSD16)	432,148
C₉⋊₇(C₃×SD₁₆) = C₃×Q₈⋊₂D₉	φ: C₃×SD₁₆/C₃×Q₈ → C₂ ⊆ Aut C₉	144	4	C9:7(C3xSD16)	432,157

Non-split extensions G=N.Q with N=C₉ and Q=C₃×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃×SD₁₆) = SD₁₆×C₂₇	central extension (φ=1)	216	2	C9.(C3xSD16)	432,26

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