Extensions 1→N→G→Q→1 with N=C₃² and Q=Dic₆

Direct product G=NxQ with N=C₃² and Q=Dic₆

		d	ρ	Label	ID
C₃²xDic₆		72		C3^2xDic6	216,135

Semidirect products G=N:Q with N=C₃² and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:Dic₆ = He₃:₂Q₈	φ: Dic₆/C₂ → D₆ ⊆ Aut C₃²	72	6-	C3^2:Dic6	216,33
C₃²:₂Dic₆ = C₃³:Q₈	φ: Dic₆/C₃ → Q₈ ⊆ Aut C₃²	24	8	C3^2:2Dic6	216,161
C₃²:₃Dic₆ = He₃:₃Q₈	φ: Dic₆/C₄ → S₃ ⊆ Aut C₃²	72	6-	C3^2:3Dic6	216,49
C₃²:₄Dic₆ = He₃:₄Q₈	φ: Dic₆/C₄ → S₃ ⊆ Aut C₃²	72	6	C3^2:4Dic6	216,66
C₃²:₅Dic₆ = C₃³:₄Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₃²	72		C3^2:5Dic6	216,130
C₃²:₆Dic₆ = C₃³:₅Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₃²	24	4	C3^2:6Dic6	216,133
C₃²:₇Dic₆ = C₃xC₃²:₂Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₃²	24	4	C3^2:7Dic6	216,123
C₃²:₈Dic₆ = C₃xC₃²:₄Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₃²	72		C3^2:8Dic6	216,140
C₃²:₉Dic₆ = C₃³:₈Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₃²	216		C3^2:9Dic6	216,145

Non-split extensions G=N.Q with N=C₃² and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².Dic₆ = C₃₆.C₆	φ: Dic₆/C₄ → S₃ ⊆ Aut C₃²	72	6-	C3^2.Dic6	216,52
C₃².₂Dic₆ = C₉:Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₃²	72	4-	C3^2.2Dic6	216,26
C₃².₃Dic₆ = C₃xDic₁₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₃²	72	2	C3^2.3Dic6	216,43
C₃².₄Dic₆ = C₁₂.D₉	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₃²	216		C3^2.4Dic6	216,63

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