Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₉SD₁₆

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₉SD₁₆

		d	ρ	Label	ID
C₃×C₃²⋊₉SD₁₆		72		C3xC3^2:9SD16	432,492

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₉SD₁₆

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₃²⋊₉SD₁₆) = C₃³⋊₁₄SD₁₆	φ: C₃²⋊₉SD₁₆/C₃²⋊₄C₈ → C₂ ⊆ Aut C₃	144	C3:1(C3^2:9SD16)	432,441
C₃⋊₂(C₃²⋊₉SD₁₆) = C₃³⋊₁₂SD₁₆	φ: C₃²⋊₉SD₁₆/C₃²⋊₄Q₈ → C₂ ⊆ Aut C₃	144	C3:2(C3^2:9SD16)	432,439
C₃⋊₃(C₃²⋊₉SD₁₆) = C₃³⋊₂₄SD₁₆	φ: C₃²⋊₉SD₁₆/D₄×C₃² → C₂ ⊆ Aut C₃	216	C3:3(C3^2:9SD16)	432,508

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₉SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²⋊₉SD₁₆) = C₃₆.₁₇D₆	φ: C₃²⋊₉SD₁₆/D₄×C₃² → C₂ ⊆ Aut C₃	216		C3.(C3^2:9SD16)	432,190
C₃.₂(C₃²⋊₉SD₁₆) = He₃⋊₉SD₁₆	central stem extension (φ=1)	72	6	C3.2(C3^2:9SD16)	432,193

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊9SD16