Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊Q₁₆

Direct product G=N×Q with N=C₃ and Q=C₃²⋊Q₁₆

		d	ρ	Label	ID
C₃×C₃²⋊Q₁₆		48	4	C3xC3^2:Q16	432,578

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃²⋊Q₁₆) = C₃³⋊₃Q₁₆	φ: C₃²⋊Q₁₆/C₃²⋊₂C₈ → C₂ ⊆ Aut C₃	48	8-	C3:1(C3^2:Q16)	432,590
C₃⋊₂(C₃²⋊Q₁₆) = C₃³⋊Q₁₆	φ: C₃²⋊Q₁₆/C₃²⋊₂Q₈ → C₂ ⊆ Aut C₃	48	4	C3:2(C3^2:Q16)	432,585

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²⋊Q₁₆) = He₃⋊Q₁₆	φ: C₃²⋊Q₁₆/C₃²⋊₂C₈ → C₂ ⊆ Aut C₃	144	6-	C3.(C3^2:Q16)	432,236

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊Q16