Extensions 1→N→G→Q→1 with N=C₃×C₂₇ and Q=C₂²

Direct product G=N×Q with N=C₃×C₂₇ and Q=C₂²

		d	ρ	Label	ID
C₆×C₅₄		324		C6xC54	324,84

Semidirect products G=N:Q with N=C₃×C₂₇ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₂₇)⋊C₂² = S₃×D₂₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₂₇	54	4+	(C3xC27):C2^2	324,38
(C₃×C₂₇)⋊₂C₂² = S₃×C₅₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₂₇	108	2	(C3xC27):2C2^2	324,66
(C₃×C₂₇)⋊₃C₂² = C₆×D₂₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₂₇	108	2	(C3xC27):3C2^2	324,65
(C₃×C₂₇)⋊₄C₂² = C₂×C₂₇⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₂₇	162		(C3xC27):4C2^2	324,76

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁