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

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

		d	ρ	Label	ID
Q₁₆×C₃×C₉		432		Q16xC3xC9	432,221

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₉×Q₁₆) = C₉×Dic₁₂	φ: C₉×Q₁₆/C₇₂ → C₂ ⊆ Aut C₃	144	2	C3:1(C9xQ16)	432,113
C₃⋊₂(C₉×Q₁₆) = C₉×C₃⋊Q₁₆	φ: C₉×Q₁₆/Q₈×C₉ → C₂ ⊆ Aut C₃	144	4	C3:2(C9xQ16)	432,159

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₉×Q₁₆) = Q₁₆×C₂₇	central extension (φ=1)	432	2	C3.(C9xQ16)	432,27

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