Extensions 1→N→G→Q→1 with N=C₃² and Q=C₅₄

Direct product G=N×Q with N=C₃² and Q=C₅₄

		d	ρ	Label	ID
C₃²×C₅₄		486		C3^2xC54	486,207

Semidirect products G=N:Q with N=C₃² and Q=C₅₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊C₅₄ = C₃²⋊C₅₄	φ: C₅₄/C₉ → C₆ ⊆ Aut C₃²	54	6	C3^2:C54	486,16
C₃²⋊₂C₅₄ = C₂×C₃²⋊C₂₇	φ: C₅₄/C₁₈ → C₃ ⊆ Aut C₃²	162		C3^2:2C54	486,72
C₃²⋊₃C₅₄ = S₃×C₃×C₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₃²	162		C3^2:3C54	486,112
C₃²⋊₄C₅₄ = C₃⋊S₃×C₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₃²	162		C3^2:4C54	486,161

Non-split extensions G=N.Q with N=C₃² and Q=C₅₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².C₅₄ = C₂×C₈₁⋊C₃	φ: C₅₄/C₁₈ → C₃ ⊆ Aut C₃²	162	3	C3^2.C54	486,84
C₃².₂C₅₄ = S₃×C₈₁	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₃²	162	2	C3^2.2C54	486,33

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