Extensions 1→N→G→Q→1 with N=C₂×C₂₇⋊C₃ and Q=C₃

Direct product G=N×Q with N=C₂×C₂₇⋊C₃ and Q=C₃

		d	ρ	Label	ID
C₆×C₂₇⋊C₃		162		C6xC27:C3	486,208

Semidirect products G=N:Q with N=C₂×C₂₇⋊C₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₂₇⋊C₃)⋊₁C₃ = C₂×C₉.₄He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₂₇⋊C₃	54	3	(C2xC27:C3):1C3	486,76
(C₂×C₂₇⋊C₃)⋊₂C₃ = C₂×C₉.₅He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₂₇⋊C₃	162	3	(C2xC27:C3):2C3	486,79
(C₂×C₂₇⋊C₃)⋊₃C₃ = C₂×C₉.₆He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₂₇⋊C₃	162	3	(C2xC27:C3):3C3	486,80
(C₂×C₂₇⋊C₃)⋊₄C₃ = C₂×C₂₇○He₃	φ: trivial image	162	3	(C2xC27:C3):4C3	486,209

Non-split extensions G=N.Q with N=C₂×C₂₇⋊C₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₂₇⋊C₃).C₃ = C₂×C₂₇⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₂₇⋊C₃	54	9	(C2xC27:C3).C3	486,82

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁