Extensions 1→N→G→Q→1 with N=C₅₄ and Q=C₆

Direct product G=N×Q with N=C₅₄ and Q=C₆

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

Semidirect products G=N:Q with N=C₅₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₄⋊C₆ = C₂×C₂₇⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₅₄	54	6+	C54:C6	324,67
C₅₄⋊₂C₆ = C₂²×C₂₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₅₄	108		C54:2C6	324,85
C₅₄⋊₃C₆ = C₆×D₂₇	φ: C₆/C₃ → C₂ ⊆ Aut C₅₄	108	2	C54:3C6	324,65

Non-split extensions G=N.Q with N=C₅₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₄.C₆ = C₂₇⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₅₄	108	6-	C54.C6	324,12
C₅₄.₂C₆ = C₄×C₂₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₅₄	108	3	C54.2C6	324,30
C₅₄.₃C₆ = C₃×Dic₂₇	φ: C₆/C₃ → C₂ ⊆ Aut C₅₄	108	2	C54.3C6	324,10

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Extensions 1→N→G→Q→1 with N=C54 and Q=C6