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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×C₃⋊C₁₆) = C₃×C₂₄.S₃	φ: C₃×C₃⋊C₁₆/C₃×C₂₄ → C₂ ⊆ Aut C₃	144		C3:(C3xC3:C16)	432,230

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×C₃⋊C₁₆) = C₃×C₉⋊C₁₆	φ: C₃×C₃⋊C₁₆/C₃×C₂₄ → C₂ ⊆ Aut C₃	144	2	C3.1(C3xC3:C16)	432,28
C₃.₂(C₃×C₃⋊C₁₆) = He₃⋊₃C₁₆	φ: C₃×C₃⋊C₁₆/C₃×C₂₄ → C₂ ⊆ Aut C₃	144	6	C3.2(C3xC3:C16)	432,30
C₃.₃(C₃×C₃⋊C₁₆) = C₉⋊C₄₈	φ: C₃×C₃⋊C₁₆/C₃×C₂₄ → C₂ ⊆ Aut C₃	144	6	C3.3(C3xC3:C16)	432,31
C₃.₄(C₃×C₃⋊C₁₆) = C₉×C₃⋊C₁₆	central extension (φ=1)	144	2	C3.4(C3xC3:C16)	432,29

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