Extensions 1→N→G→Q→1 with N=C₃² and Q=C₃xQ₁₆

Direct product G=NxQ with N=C₃² and Q=C₃xQ₁₆

		d	ρ	Label	ID
Q₁₆xC₃³		432		Q16xC3^3	432,519

Semidirect products G=N:Q with N=C₃² and Q=C₃xQ₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:(C₃xQ₁₆) = C₃xC₃²:Q₁₆	φ: C₃xQ₁₆/C₆ → D₄ ⊆ Aut C₃²	48	4	C3^2:(C3xQ16)	432,578
C₃²:₂(C₃xQ₁₆) = He₃:₄Q₁₆	φ: C₃xQ₁₆/C₈ → C₆ ⊆ Aut C₃²	144	6-	C3^2:2(C3xQ16)	432,114
C₃²:₃(C₃xQ₁₆) = He₃:₆Q₁₆	φ: C₃xQ₁₆/Q₈ → C₆ ⊆ Aut C₃²	144	12-	C3^2:3(C3xQ16)	432,160
C₃²:₄(C₃xQ₁₆) = C₃xC₃²:₂Q₁₆	φ: C₃xQ₁₆/C₁₂ → C₂² ⊆ Aut C₃²	48	4	C3^2:4(C3xQ16)	432,423
C₃²:₅(C₃xQ₁₆) = C₃xC₃²:₃Q₁₆	φ: C₃xQ₁₆/C₁₂ → C₂² ⊆ Aut C₃²	48	4	C3^2:5(C3xQ16)	432,424
C₃²:₆(C₃xQ₁₆) = Q₁₆xHe₃	φ: C₃xQ₁₆/Q₁₆ → C₃ ⊆ Aut C₃²	144	6	C3^2:6(C3xQ16)	432,222
C₃²:₇(C₃xQ₁₆) = C₃²xDic₁₂	φ: C₃xQ₁₆/C₂₄ → C₂ ⊆ Aut C₃²	144		C3^2:7(C3xQ16)	432,468
C₃²:₈(C₃xQ₁₆) = C₃xC₃²:₅Q₁₆	φ: C₃xQ₁₆/C₂₄ → C₂ ⊆ Aut C₃²	144		C3^2:8(C3xQ16)	432,484
C₃²:₉(C₃xQ₁₆) = C₃²xC₃:Q₁₆	φ: C₃xQ₁₆/C₃xQ₈ → C₂ ⊆ Aut C₃²	144		C3^2:9(C3xQ16)	432,478
C₃²:₁₀(C₃xQ₁₆) = C₃xC₃²:₇Q₁₆	φ: C₃xQ₁₆/C₃xQ₈ → C₂ ⊆ Aut C₃²	144		C3^2:10(C3xQ16)	432,494

Non-split extensions G=N.Q with N=C₃² and Q=C₃xQ₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₃xQ₁₆) = Q₁₆x3_-¹⁺²	φ: C₃xQ₁₆/Q₁₆ → C₃ ⊆ Aut C₃²	144	6	C3^2.(C3xQ16)	432,223
C₃².₂(C₃xQ₁₆) = C₉xDic₁₂	φ: C₃xQ₁₆/C₂₄ → C₂ ⊆ Aut C₃²	144	2	C3^2.2(C3xQ16)	432,113
C₃².₃(C₃xQ₁₆) = C₉xC₃:Q₁₆	φ: C₃xQ₁₆/C₃xQ₈ → C₂ ⊆ Aut C₃²	144	4	C3^2.3(C3xQ16)	432,159
C₃².₄(C₃xQ₁₆) = Q₁₆xC₃xC₉	central extension (φ=1)	432		C3^2.4(C3xQ16)	432,221

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