Extensions 1→N→G→Q→1 with N=C₂₇⋊C₃ and Q=C₃

Direct product G=N×Q with N=C₂₇⋊C₃ and Q=C₃

		d	ρ	Label	ID
C₃×C₂₇⋊C₃		81		C3xC27:C3	243,49

Semidirect products G=N:Q with N=C₂₇⋊C₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₇⋊C₃⋊₁C₃ = C₉.₄He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂₇⋊C₃	27	3	C27:C3:1C3	243,16
C₂₇⋊C₃⋊₂C₃ = C₉.₅He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂₇⋊C₃	81	3	C27:C3:2C3	243,19
C₂₇⋊C₃⋊₃C₃ = C₉.₆He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂₇⋊C₃	81	3	C27:C3:3C3	243,20
C₂₇⋊C₃⋊₄C₃ = C₂₇○He₃	φ: trivial image	81	3	C27:C3:4C3	243,50

Non-split extensions G=N.Q with N=C₂₇⋊C₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₇⋊C₃.C₃ = C₂₇⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out C₂₇⋊C₃	27	9	C27:C3.C3	243,22

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Extensions 1→N→G→Q→1 with N=C27⋊C3 and Q=C3