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

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

		d	ρ	Label	ID
C₃²×SD₁₆		72		C3^2xSD16	144,107

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×SD₁₆) = C₃×C₂₄⋊C₂	φ: C₃×SD₁₆/C₂₄ → C₂ ⊆ Aut C₃	48	2	C3:1(C3xSD16)	144,71
C₃⋊₂(C₃×SD₁₆) = C₃×D₄.S₃	φ: C₃×SD₁₆/C₃×D₄ → C₂ ⊆ Aut C₃	24	4	C3:2(C3xSD16)	144,81
C₃⋊₃(C₃×SD₁₆) = C₃×Q₈⋊₂S₃	φ: C₃×SD₁₆/C₃×Q₈ → C₂ ⊆ Aut C₃	48	4	C3:3(C3xSD16)	144,82

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×SD₁₆) = C₉×SD₁₆	central extension (φ=1)	72	2	C3.(C3xSD16)	144,26

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