Extensions 1→N→G→Q→1 with N=C₃² and Q=C₃²⋊C₄

Direct product G=N×Q with N=C₃² and Q=C₃²⋊C₄

		d	ρ	Label	ID
C₃²×C₃²⋊C₄		36		C3^2xC3^2:C4	324,161

Semidirect products G=N:Q with N=C₃² and Q=C₃²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₃²⋊C₄) = C₃⁴⋊₄C₄	φ: C₃²⋊C₄/C₃² → C₄ ⊆ Aut C₃²	18		C3^2:(C3^2:C4)	324,164
C₃²⋊₂(C₃²⋊C₄) = C₃×C₃³⋊C₄	φ: C₃²⋊C₄/C₃⋊S₃ → C₂ ⊆ Aut C₃²	12	4	C3^2:2(C3^2:C4)	324,162
C₃²⋊₃(C₃²⋊C₄) = C₃⁴⋊C₄	φ: C₃²⋊C₄/C₃⋊S₃ → C₂ ⊆ Aut C₃²	36		C3^2:3(C3^2:C4)	324,163

Non-split extensions G=N.Q with N=C₃² and Q=C₃²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₃²⋊C₄) = C₉²⋊C₄	φ: C₃²⋊C₄/C₃² → C₄ ⊆ Aut C₃²	18	4+	C3^2.(C3^2:C4)	324,35
C₃².₂(C₃²⋊C₄) = He₃⋊₄Dic₃	φ: C₃²⋊C₄/C₃⋊S₃ → C₂ ⊆ Aut C₃²	18	6	C3^2.2(C3^2:C4)	324,113
C₃².₃(C₃²⋊C₄) = C₃×He₃⋊C₄	central extension (φ=1)	54		C3^2.3(C3^2:C4)	324,110

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Extensions 1→N→G→Q→1 with N=C32 and Q=C32⋊C4