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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₄⋊C₃² = C₆×C₂₇⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₅₄	162		C54:C3^2	486,208

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₄.C₃² = C₂×C₂₇○He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₅₄	162	3	C54.C3^2	486,209
C₅₄.₂C₃² = C₂×C₈₁⋊C₃	central extension (φ=1)	162	3	C54.2C3^2	486,84

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