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

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

		d	ρ	Label	ID
C₃²×Dic₆		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 = C₃×C₃²⋊₂Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₃²	24	4	C3^2:7Dic6	216,123
C₃²⋊₈Dic₆ = C₃×C₃²⋊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 = C₃×Dic₁₈	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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