Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₃⋊Q₁₆

Direct product G=N×Q with N=C₃ and Q=C₃×C₃⋊Q₁₆

		d	ρ	Label	ID
C₃²×C₃⋊Q₁₆		144		C3^2xC3:Q16	432,478

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₃⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₃⋊Q₁₆) = C₃×C₃²⋊₃Q₁₆	φ: C₃×C₃⋊Q₁₆/C₃×C₃⋊C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(C3xC3:Q16)	432,424
C₃⋊₂(C₃×C₃⋊Q₁₆) = C₃×C₃²⋊₂Q₁₆	φ: C₃×C₃⋊Q₁₆/C₃×Dic₆ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xC3:Q16)	432,423
C₃⋊₃(C₃×C₃⋊Q₁₆) = C₃×C₃²⋊₇Q₁₆	φ: C₃×C₃⋊Q₁₆/Q₈×C₃² → C₂ ⊆ Aut C₃	144		C3:3(C3xC3:Q16)	432,494

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₃⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×C₃⋊Q₁₆) = C₃×C₉⋊Q₁₆	φ: C₃×C₃⋊Q₁₆/Q₈×C₃² → C₂ ⊆ Aut C₃	144	4	C3.1(C3xC3:Q16)	432,156
C₃.₂(C₃×C₃⋊Q₁₆) = He₃⋊₆Q₁₆	φ: C₃×C₃⋊Q₁₆/Q₈×C₃² → C₂ ⊆ Aut C₃	144	12-	C3.2(C3xC3:Q16)	432,160
C₃.₃(C₃×C₃⋊Q₁₆) = Dic₁₈.C₆	φ: C₃×C₃⋊Q₁₆/Q₈×C₃² → C₂ ⊆ Aut C₃	144	12-	C3.3(C3xC3:Q16)	432,162
C₃.₄(C₃×C₃⋊Q₁₆) = C₉×C₃⋊Q₁₆	central extension (φ=1)	144	4	C3.4(C3xC3:Q16)	432,159

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