Extensions 1→N→G→Q→1 with N=C₃² and Q=C₃xQ₈

Direct product G=NxQ with N=C₃² and Q=C₃xQ₈

		d	ρ	Label	ID
Q₈xC₃³		216		Q8xC3^3	216,152

Semidirect products G=N:Q with N=C₃² and Q=C₃xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:(C₃xQ₈) = C₃xPSU₃(F₂)	φ: C₃xQ₈/C₃ → Q₈ ⊆ Aut C₃²	24	8	C3^2:(C3xQ8)	216,160
C₃²:₂(C₃xQ₈) = He₃:₃Q₈	φ: C₃xQ₈/C₄ → C₆ ⊆ Aut C₃²	72	6-	C3^2:2(C3xQ8)	216,49
C₃²:₃(C₃xQ₈) = C₃xC₃²:₂Q₈	φ: C₃xQ₈/C₆ → C₂² ⊆ Aut C₃²	24	4	C3^2:3(C3xQ8)	216,123
C₃²:₄(C₃xQ₈) = Q₈xHe₃	φ: C₃xQ₈/Q₈ → C₃ ⊆ Aut C₃²	72	6	C3^2:4(C3xQ8)	216,80
C₃²:₅(C₃xQ₈) = C₃²xDic₆	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₃²	72		C3^2:5(C3xQ8)	216,135
C₃²:₆(C₃xQ₈) = C₃xC₃²:₄Q₈	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₃²	72		C3^2:6(C3xQ8)	216,140

Non-split extensions G=N.Q with N=C₃² and Q=C₃xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₃xQ₈) = Q₈x3_-¹⁺²	φ: C₃xQ₈/Q₈ → C₃ ⊆ Aut C₃²	72	6	C3^2.(C3xQ8)	216,81
C₃².₂(C₃xQ₈) = C₉xDic₆	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₃²	72	2	C3^2.2(C3xQ8)	216,44
C₃².₃(C₃xQ₈) = Q₈xC₃xC₉	central extension (φ=1)	216		C3^2.3(C3xQ8)	216,79

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