Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₁₁SD₁₆

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₁₁SD₁₆

		d	ρ	Label	ID
C₃×C₃²⋊₁₁SD₁₆		144		C3xC3^2:11SD16	432,493

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₁₁SD₁₆

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₃²⋊₁₁SD₁₆) = C₃³⋊₁₅SD₁₆	φ: C₃²⋊₁₁SD₁₆/C₃²⋊₄C₈ → C₂ ⊆ Aut C₃	72	C3:1(C3^2:11SD16)	432,442
C₃⋊₂(C₃²⋊₁₁SD₁₆) = C₃³⋊₁₃SD₁₆	φ: C₃²⋊₁₁SD₁₆/C₁₂⋊S₃ → C₂ ⊆ Aut C₃	144	C3:2(C3^2:11SD16)	432,440
C₃⋊₃(C₃²⋊₁₁SD₁₆) = C₃³⋊₂₇SD₁₆	φ: C₃²⋊₁₁SD₁₆/Q₈×C₃² → C₂ ⊆ Aut C₃	216	C3:3(C3^2:11SD16)	432,509

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₁₁SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²⋊₁₁SD₁₆) = C₃₆.₂₀D₆	φ: C₃²⋊₁₁SD₁₆/Q₈×C₃² → C₂ ⊆ Aut C₃	216		C3.(C3^2:11SD16)	432,195
C₃.₂(C₃²⋊₁₁SD₁₆) = He₃⋊₁₁SD₁₆	central stem extension (φ=1)	72	6	C3.2(C3^2:11SD16)	432,196

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊11SD16