Extensions 1→N→G→Q→1 with N=C₃² and Q=C₃⋊C₁₆

Direct product G=N×Q with N=C₃² and Q=C₃⋊C₁₆

		d	ρ	Label	ID
C₃²×C₃⋊C₁₆		144		C3^2xC3:C16	432,229

Semidirect products G=N:Q with N=C₃² and Q=C₃⋊C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₃⋊C₁₆) = C₆.F₉	φ: C₃⋊C₁₆/C₆ → C₈ ⊆ Aut C₃²	48	8	C3^2:(C3:C16)	432,566
C₃²⋊₂(C₃⋊C₁₆) = He₃⋊₃C₁₆	φ: C₃⋊C₁₆/C₈ → S₃ ⊆ Aut C₃²	144	6	C3^2:2(C3:C16)	432,30
C₃²⋊₃(C₃⋊C₁₆) = He₃⋊₄C₁₆	φ: C₃⋊C₁₆/C₈ → S₃ ⊆ Aut C₃²	144	3	C3^2:3(C3:C16)	432,33
C₃²⋊₄(C₃⋊C₁₆) = C₃³⋊₄C₁₆	φ: C₃⋊C₁₆/C₁₂ → C₄ ⊆ Aut C₃²	48	4	C3^2:4(C3:C16)	432,413
C₃²⋊₅(C₃⋊C₁₆) = C₃×C₂₄.S₃	φ: C₃⋊C₁₆/C₂₄ → C₂ ⊆ Aut C₃²	144		C3^2:5(C3:C16)	432,230
C₃²⋊₆(C₃⋊C₁₆) = C₃³⋊₇C₁₆	φ: C₃⋊C₁₆/C₂₄ → C₂ ⊆ Aut C₃²	432		C3^2:6(C3:C16)	432,231

Non-split extensions G=N.Q with N=C₃² and Q=C₃⋊C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₃⋊C₁₆) = C₉⋊C₄₈	φ: C₃⋊C₁₆/C₈ → S₃ ⊆ Aut C₃²	144	6	C3^2.(C3:C16)	432,31
C₃².₂(C₃⋊C₁₆) = C₃×C₉⋊C₁₆	φ: C₃⋊C₁₆/C₂₄ → C₂ ⊆ Aut C₃²	144	2	C3^2.2(C3:C16)	432,28
C₃².₃(C₃⋊C₁₆) = C₇₂.S₃	φ: C₃⋊C₁₆/C₂₄ → C₂ ⊆ Aut C₃²	432		C3^2.3(C3:C16)	432,32

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