Extensions 1→N→G→Q→1 with N=C₃² and Q=Dic₁₂

Direct product G=N×Q with N=C₃² and Q=Dic₁₂

		d	ρ	Label	ID
C₃²×Dic₁₂		144		C3^2xDic12	432,468

Semidirect products G=N:Q with N=C₃² and Q=Dic₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊Dic₁₂ = He₃⋊₃Q₁₆	φ: Dic₁₂/C₄ → D₆ ⊆ Aut C₃²	144	12-	C3^2:Dic12	432,86
C₃²⋊₂Dic₁₂ = C₃³⋊₃Q₁₆	φ: Dic₁₂/C₆ → D₄ ⊆ Aut C₃²	48	8-	C3^2:2Dic12	432,590
C₃²⋊₃Dic₁₂ = He₃⋊₄Q₁₆	φ: Dic₁₂/C₈ → S₃ ⊆ Aut C₃²	144	6-	C3^2:3Dic12	432,114
C₃²⋊₄Dic₁₂ = He₃⋊₅Q₁₆	φ: Dic₁₂/C₈ → S₃ ⊆ Aut C₃²	144	6	C3^2:4Dic12	432,177
C₃²⋊₅Dic₁₂ = C₃³⋊₈Q₁₆	φ: Dic₁₂/C₁₂ → C₂² ⊆ Aut C₃²	144		C3^2:5Dic12	432,447
C₃²⋊₆Dic₁₂ = C₃³⋊₉Q₁₆	φ: Dic₁₂/C₁₂ → C₂² ⊆ Aut C₃²	48	4	C3^2:6Dic12	432,459
C₃²⋊₇Dic₁₂ = C₃×C₃²⋊₅Q₁₆	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₃²	144		C3^2:7Dic12	432,484
C₃²⋊₈Dic₁₂ = C₃³⋊₁₂Q₁₆	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₃²	432		C3^2:8Dic12	432,500
C₃²⋊₉Dic₁₂ = C₃×C₃²⋊₃Q₁₆	φ: Dic₁₂/Dic₆ → C₂ ⊆ Aut C₃²	48	4	C3^2:9Dic12	432,424
C₃²⋊₁₀Dic₁₂ = C₃³⋊₇Q₁₆	φ: Dic₁₂/Dic₆ → C₂ ⊆ Aut C₃²	144		C3^2:10Dic12	432,446

Non-split extensions G=N.Q with N=C₃² and Q=Dic₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².Dic₁₂ = C₇₂.C₆	φ: Dic₁₂/C₈ → S₃ ⊆ Aut C₃²	144	6-	C3^2.Dic12	432,119
C₃².₂Dic₁₂ = C₃⋊Dic₃₆	φ: Dic₁₂/C₁₂ → C₂² ⊆ Aut C₃²	144	4-	C3^2.2Dic12	432,65
C₃².₃Dic₁₂ = C₃×Dic₃₆	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₃²	144	2	C3^2.3Dic12	432,104
C₃².₄Dic₁₂ = C₂₄.D₉	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₃²	432		C3^2.4Dic12	432,168

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