Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃×C₆²

Direct product G=N×Q with N=C₂² and Q=C₃×C₆²

		d	ρ	Label	ID
C₂×C₆³		432		C2xC6^3	432,775

Semidirect products G=N:Q with N=C₂² and Q=C₃×C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃×C₆²) = A₄×C₆²	φ: C₃×C₆²/C₆² → C₃ ⊆ Aut C₂²	108		C2^2:(C3xC6^2)	432,770
C₂²⋊₂(C₃×C₆²) = D₄×C₃²×C₆	φ: C₃×C₆²/C₃²×C₆ → C₂ ⊆ Aut C₂²	216		C2^2:2(C3xC6^2)	432,731

Non-split extensions G=N.Q with N=C₂² and Q=C₃×C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃×C₆²) = C₄○D₄×C₃³	φ: C₃×C₆²/C₃²×C₆ → C₂ ⊆ Aut C₂²	216		C2^2.(C3xC6^2)	432,733
C₂².₂(C₃×C₆²) = C₂²⋊C₄×C₃³	central extension (φ=1)	216		C2^2.2(C3xC6^2)	432,513
C₂².₃(C₃×C₆²) = C₄⋊C₄×C₃³	central extension (φ=1)	432		C2^2.3(C3xC6^2)	432,514
C₂².₄(C₃×C₆²) = Q₈×C₃²×C₆	central extension (φ=1)	432		C2^2.4(C3xC6^2)	432,732

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