Extensions 1→N→G→Q→1 with N=C₃³ and Q=Q₁₆

Direct product G=N×Q with N=C₃³ and Q=Q₁₆

		d	ρ	Label	ID
Q₁₆×C₃³		432		Q16xC3^3	432,519

Semidirect products G=N:Q with N=C₃³ and Q=Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³⋊₁Q₁₆ = C₃×C₃²⋊Q₁₆	φ: Q₁₆/C₂ → D₄ ⊆ Aut C₃³	48	4	C3^3:1Q16	432,578
C₃³⋊₂Q₁₆ = C₃³⋊Q₁₆	φ: Q₁₆/C₂ → D₄ ⊆ Aut C₃³	48	4	C3^3:2Q16	432,585
C₃³⋊₃Q₁₆ = C₃³⋊₃Q₁₆	φ: Q₁₆/C₂ → D₄ ⊆ Aut C₃³	48	8-	C3^3:3Q16	432,590
C₃³⋊₄Q₁₆ = C₃×C₃²⋊₂Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃³	48	4	C3^3:4Q16	432,423
C₃³⋊₅Q₁₆ = C₃×C₃²⋊₃Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃³	48	4	C3^3:5Q16	432,424
C₃³⋊₆Q₁₆ = C₃³⋊₆Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃³	144		C3^3:6Q16	432,445
C₃³⋊₇Q₁₆ = C₃³⋊₇Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃³	144		C3^3:7Q16	432,446
C₃³⋊₈Q₁₆ = C₃³⋊₈Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃³	144		C3^3:8Q16	432,447
C₃³⋊₉Q₁₆ = C₃³⋊₉Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃³	48	4	C3^3:9Q16	432,459
C₃³⋊₁₀Q₁₆ = C₃²×Dic₁₂	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃³	144		C3^3:10Q16	432,468
C₃³⋊₁₁Q₁₆ = C₃×C₃²⋊₅Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃³	144		C3^3:11Q16	432,484
C₃³⋊₁₂Q₁₆ = C₃³⋊₁₂Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃³	432		C3^3:12Q16	432,500
C₃³⋊₁₃Q₁₆ = C₃²×C₃⋊Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃³	144		C3^3:13Q16	432,478
C₃³⋊₁₄Q₁₆ = C₃×C₃²⋊₇Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃³	144		C3^3:14Q16	432,494
C₃³⋊₁₅Q₁₆ = C₃³⋊₁₅Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃³	432		C3^3:15Q16	432,510

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