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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₂₇)⋊₁C₃ = C₃²⋊C₂₇	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₂₇	81		(C3xC27):1C3	243,12
(C₃×C₂₇)⋊₂C₃ = C₉.₅He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₂₇	81	3	(C3xC27):2C3	243,19
(C₃×C₂₇)⋊₃C₃ = C₉.₆He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₂₇	81	3	(C3xC27):3C3	243,20
(C₃×C₂₇)⋊₄C₃ = C₃×C₂₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₂₇	81		(C3xC27):4C3	243,49
(C₃×C₂₇)⋊₅C₃ = C₂₇○He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₂₇	81	3	(C3xC27):5C3	243,50

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₂₇).₁C₃ = C₉⋊C₂₇	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₂₇	243		(C3xC27).1C3	243,21
(C₃×C₂₇).₂C₃ = C₂₇⋊₂C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₂₇	243		(C3xC27).2C3	243,11
(C₃×C₂₇).₃C₃ = C₈₁⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₂₇	81	3	(C3xC27).3C3	243,24

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