Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂³×C₆

Direct product G=N×Q with N=C₃² and Q=C₂³×C₆

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

Semidirect products G=N:Q with N=C₃² and Q=C₂³×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₂³×C₆) = C₂³×C₃²⋊C₆	φ: C₂³×C₆/C₂³ → C₆ ⊆ Aut C₃²	72		C3^2:(C2^3xC6)	432,558
C₃²⋊₂(C₂³×C₆) = S₃²×C₂×C₆	φ: C₂³×C₆/C₂×C₆ → C₂² ⊆ Aut C₃²	48		C3^2:2(C2^3xC6)	432,767
C₃²⋊₃(C₂³×C₆) = C₂⁴×He₃	φ: C₂³×C₆/C₂⁴ → C₃ ⊆ Aut C₃²	144		C3^2:3(C2^3xC6)	432,563
C₃²⋊₄(C₂³×C₆) = S₃×C₂×C₆²	φ: C₂³×C₆/C₂²×C₆ → C₂ ⊆ Aut C₃²	144		C3^2:4(C2^3xC6)	432,772
C₃²⋊₅(C₂³×C₆) = C₃⋊S₃×C₂²×C₆	φ: C₂³×C₆/C₂²×C₆ → C₂ ⊆ Aut C₃²	144		C3^2:5(C2^3xC6)	432,773

Non-split extensions G=N.Q with N=C₃² and Q=C₂³×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₂³×C₆) = C₂⁴×3_-¹⁺²	φ: C₂³×C₆/C₂⁴ → C₃ ⊆ Aut C₃²	144		C3^2.(C2^3xC6)	432,564
C₃².₂(C₂³×C₆) = S₃×C₂²×C₁₈	φ: C₂³×C₆/C₂²×C₆ → C₂ ⊆ Aut C₃²	144		C3^2.2(C2^3xC6)	432,557

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