Extensions 1→N→G→Q→1 with N=C₂₇ and Q=C₃²

Direct product G=N×Q with N=C₂₇ and Q=C₃²

		d	ρ	Label	ID
C₃²×C₂₇		243		C3^2xC27	243,48

Semidirect products G=N:Q with N=C₂₇ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇⋊C₃² = C₃×C₂₇⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₂₇	81		C27:C3^2	243,49

Non-split extensions G=N.Q with N=C₂₇ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇.C₃² = C₂₇○He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₂₇	81	3	C27.C3^2	243,50
C₂₇.₂C₃² = C₈₁⋊C₃	central extension (φ=1)	81	3	C27.2C3^2	243,24

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Extensions 1→N→G→Q→1 with N=C27 and Q=C32