Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₂SD₁₆

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₂SD₁₆

		d	ρ	Label	ID
C₃×C₃²⋊₂SD₁₆		24	4	C3xC3^2:2SD16	432,577

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₂SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃²⋊₂SD₁₆) = C₃³⋊₈SD₁₆	φ: C₃²⋊₂SD₁₆/C₃²⋊₂C₈ → C₂ ⊆ Aut C₃	24	8+	C3:1(C3^2:2SD16)	432,589
C₃⋊₂(C₃²⋊₂SD₁₆) = C₃³⋊₇SD₁₆	φ: C₃²⋊₂SD₁₆/D₆⋊S₃ → C₂ ⊆ Aut C₃	24	4	C3:2(C3^2:2SD16)	432,584
C₃⋊₃(C₃²⋊₂SD₁₆) = C₃³⋊₆SD₁₆	φ: C₃²⋊₂SD₁₆/C₃²⋊₂Q₈ → C₂ ⊆ Aut C₃	24	4	C3:3(C3^2:2SD16)	432,583

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₂SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²⋊₂SD₁₆) = He₃⋊₂SD₁₆	φ: C₃²⋊₂SD₁₆/C₃²⋊₂C₈ → C₂ ⊆ Aut C₃	72	6	C3.(C3^2:2SD16)	432,234

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊2SD16