Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₄⋊C₄

Direct product G=N×Q with N=C₃ and Q=C₃×C₄⋊C₄

		d	ρ	Label	ID
C₃²×C₄⋊C₄		144		C3^2xC4:C4	144,103

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₄⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₄⋊C₄) = C₃×Dic₃⋊C₄	φ: C₃×C₄⋊C₄/C₂×C₁₂ → C₂ ⊆ Aut C₃	48		C3:1(C3xC4:C4)	144,77
C₃⋊₂(C₃×C₄⋊C₄) = C₃×C₄⋊Dic₃	φ: C₃×C₄⋊C₄/C₂×C₁₂ → C₂ ⊆ Aut C₃	48		C3:2(C3xC4:C4)	144,78

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₄⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₄⋊C₄) = C₉×C₄⋊C₄	central extension (φ=1)	144		C3.(C3xC4:C4)	144,22

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C4⋊C4