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
C₃×C₉⋊Q₁₆		144	4	C3xC9:Q16	432,156

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/C₉⋊C₈ → C₂ ⊆ Aut C₃	144	4-	C3:1(C9:Q16)	432,75
C₃⋊₂(C₉⋊Q₁₆) = C₁₂.D₁₈	φ: C₉⋊Q₁₆/Dic₁₈ → C₂ ⊆ Aut C₃	144	4	C3:2(C9:Q16)	432,74
C₃⋊₃(C₉⋊Q₁₆) = C₃₆.₁₉D₆	φ: C₉⋊Q₁₆/Q₈×C₉ → C₂ ⊆ Aut C₃	432		C3:3(C9:Q16)	432,194

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) = C₂₇⋊Q₁₆	φ: C₉⋊Q₁₆/Q₈×C₉ → C₂ ⊆ Aut C₃	432	4-	C3.(C9:Q16)	432,17

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