Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂²×C₆

Direct product G=N×Q with N=C₃² and Q=C₂²×C₆

		d	ρ	Label	ID
C₆³		216		C6^3	216,177

Semidirect products G=N:Q with N=C₃² and Q=C₂²×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₂²×C₆) = C₂²×C₃²⋊C₆	φ: C₂²×C₆/C₂² → C₆ ⊆ Aut C₃²	36		C3^2:(C2^2xC6)	216,110
C₃²⋊₂(C₂²×C₆) = S₃²×C₆	φ: C₂²×C₆/C₆ → C₂² ⊆ Aut C₃²	24	4	C3^2:2(C2^2xC6)	216,170
C₃²⋊₃(C₂²×C₆) = C₂³×He₃	φ: C₂²×C₆/C₂³ → C₃ ⊆ Aut C₃²	72		C3^2:3(C2^2xC6)	216,115
C₃²⋊₄(C₂²×C₆) = S₃×C₆²	φ: C₂²×C₆/C₂×C₆ → C₂ ⊆ Aut C₃²	72		C3^2:4(C2^2xC6)	216,174
C₃²⋊₅(C₂²×C₆) = C₂×C₆×C₃⋊S₃	φ: C₂²×C₆/C₂×C₆ → C₂ ⊆ Aut C₃²	72		C3^2:5(C2^2xC6)	216,175

Non-split extensions G=N.Q with N=C₃² and Q=C₂²×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₂²×C₆) = C₂³×3_-¹⁺²	φ: C₂²×C₆/C₂³ → C₃ ⊆ Aut C₃²	72		C3^2.(C2^2xC6)	216,116
C₃².₂(C₂²×C₆) = S₃×C₂×C₁₈	φ: C₂²×C₆/C₂×C₆ → C₂ ⊆ Aut C₃²	72		C3^2.2(C2^2xC6)	216,109

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