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

Direct product G=NxQ with N=C₃² and Q=C₃:Q₁₆

		d	ρ	Label	ID
C₃²xC₃:Q₁₆		144		C3^2xC3:Q16	432,478

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:₁(C₃:Q₁₆) = He₃:₂Q₁₆	φ: C₃:Q₁₆/C₄ → D₆ ⊆ Aut C₃²	144	6-	C3^2:1(C3:Q16)	432,80
C₃²:₂(C₃:Q₁₆) = He₃:₃Q₁₆	φ: C₃:Q₁₆/C₄ → D₆ ⊆ Aut C₃²	144	12-	C3^2:2(C3:Q16)	432,86
C₃²:₃(C₃:Q₁₆) = C₃³:Q₁₆	φ: C₃:Q₁₆/C₆ → D₄ ⊆ Aut C₃²	48	4	C3^2:3(C3:Q16)	432,585
C₃²:₄(C₃:Q₁₆) = He₃:₆Q₁₆	φ: C₃:Q₁₆/Q₈ → S₃ ⊆ Aut C₃²	144	12-	C3^2:4(C3:Q16)	432,160
C₃²:₅(C₃:Q₁₆) = He₃:₇Q₁₆	φ: C₃:Q₁₆/Q₈ → S₃ ⊆ Aut C₃²	144	6	C3^2:5(C3:Q16)	432,197
C₃²:₆(C₃:Q₁₆) = C₃³:₇Q₁₆	φ: C₃:Q₁₆/C₁₂ → C₂² ⊆ Aut C₃²	144		C3^2:6(C3:Q16)	432,446
C₃²:₇(C₃:Q₁₆) = C₃³:₉Q₁₆	φ: C₃:Q₁₆/C₁₂ → C₂² ⊆ Aut C₃²	48	4	C3^2:7(C3:Q16)	432,459
C₃²:₈(C₃:Q₁₆) = C₃xC₃²:₃Q₁₆	φ: C₃:Q₁₆/C₃:C₈ → C₂ ⊆ Aut C₃²	48	4	C3^2:8(C3:Q16)	432,424
C₃²:₉(C₃:Q₁₆) = C₃³:₈Q₁₆	φ: C₃:Q₁₆/C₃:C₈ → C₂ ⊆ Aut C₃²	144		C3^2:9(C3:Q16)	432,447
C₃²:₁₀(C₃:Q₁₆) = C₃xC₃²:₂Q₁₆	φ: C₃:Q₁₆/Dic₆ → C₂ ⊆ Aut C₃²	48	4	C3^2:10(C3:Q16)	432,423
C₃²:₁₁(C₃:Q₁₆) = C₃³:₆Q₁₆	φ: C₃:Q₁₆/Dic₆ → C₂ ⊆ Aut C₃²	144		C3^2:11(C3:Q16)	432,445
C₃²:₁₂(C₃:Q₁₆) = C₃xC₃²:₇Q₁₆	φ: C₃:Q₁₆/C₃xQ₈ → C₂ ⊆ Aut C₃²	144		C3^2:12(C3:Q16)	432,494
C₃²:₁₃(C₃:Q₁₆) = C₃³:₁₅Q₁₆	φ: C₃:Q₁₆/C₃xQ₈ → C₂ ⊆ Aut C₃²	432		C3^2:13(C3:Q16)	432,510

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₃:Q₁₆) = Dic₁₈.C₆	φ: C₃:Q₁₆/Q₈ → S₃ ⊆ Aut C₃²	144	12-	C3^2.(C3:Q16)	432,162
C₃².₂(C₃:Q₁₆) = C₁₂.D₁₈	φ: C₃:Q₁₆/C₁₂ → C₂² ⊆ Aut C₃²	144	4	C3^2.2(C3:Q16)	432,74
C₃².₃(C₃:Q₁₆) = C₉:Dic₁₂	φ: C₃:Q₁₆/C₁₂ → C₂² ⊆ Aut C₃²	144	4-	C3^2.3(C3:Q16)	432,75
C₃².₄(C₃:Q₁₆) = C₃xC₉:Q₁₆	φ: C₃:Q₁₆/C₃xQ₈ → C₂ ⊆ Aut C₃²	144	4	C3^2.4(C3:Q16)	432,156
C₃².₅(C₃:Q₁₆) = C₃₆.₁₉D₆	φ: C₃:Q₁₆/C₃xQ₈ → C₂ ⊆ Aut C₃²	432		C3^2.5(C3:Q16)	432,194

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