Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₂Q₁₆

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₂Q₁₆

		d	ρ	Label	ID
C₃×C₃²⋊₂Q₁₆		48	4	C3xC3^2:2Q16	432,423

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₂Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃²⋊₂Q₁₆) = C₃³⋊₉Q₁₆	φ: C₃²⋊₂Q₁₆/C₃²⋊₄C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(C3^2:2Q16)	432,459
C₃⋊₂(C₃²⋊₂Q₁₆) = C₃³⋊₆Q₁₆	φ: C₃²⋊₂Q₁₆/C₃×Dic₆ → C₂ ⊆ Aut C₃	144		C3:2(C3^2:2Q16)	432,445

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₂Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²⋊₂Q₁₆) = He₃⋊₂Q₁₆	φ: C₃²⋊₂Q₁₆/C₃²⋊₄C₈ → C₂ ⊆ Aut C₃	144	6-	C3.1(C3^2:2Q16)	432,80
C₃.₂(C₃²⋊₂Q₁₆) = C₁₂.D₁₈	φ: C₃²⋊₂Q₁₆/C₃×Dic₆ → C₂ ⊆ Aut C₃	144	4	C3.2(C3^2:2Q16)	432,74

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊2Q16