Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₉⋊C₆

Direct product G=N×Q with N=C₂³ and Q=C₉⋊C₆

		d	ρ	Label	ID
C₂³×C₉⋊C₆		72		C2^3xC9:C6	432,559

Semidirect products G=N:Q with N=C₂³ and Q=C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊(C₉⋊C₆) = C₂×C₃².S₄	φ: C₉⋊C₆/C₃² → S₃ ⊆ Aut C₂³	18	6+	C2^3:(C9:C6)	432,533
C₂³⋊₂(C₉⋊C₆) = C₂×D₉⋊A₄	φ: C₉⋊C₆/D₉ → C₃ ⊆ Aut C₂³	54	6+	C2^3:2(C9:C6)	432,539
C₂³⋊₃(C₉⋊C₆) = C₂×Dic₉⋊C₆	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₂³	72		C2^3:3(C9:C6)	432,379

Non-split extensions G=N.Q with N=C₂³ and Q=C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.(C₉⋊C₆) = C₆².Dic₃	φ: C₉⋊C₆/C₃² → S₃ ⊆ Aut C₂³	36	6-	C2^3.(C9:C6)	432,249
C₂³.₂(C₉⋊C₆) = Dic₉⋊A₄	φ: C₉⋊C₆/D₉ → C₃ ⊆ Aut C₂³	108	6-	C2^3.2(C9:C6)	432,265
C₂³.₃(C₉⋊C₆) = C₆².₂₇D₆	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₂³	72		C2^3.3(C9:C6)	432,167
C₂³.₄(C₉⋊C₆) = C₂²×C₉⋊C₁₂	central extension (φ=1)	144		C2^3.4(C9:C6)	432,378

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