Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₂³⋊C₄

Direct product G=N×Q with N=C₃ and Q=C₃×C₂³⋊C₄

		d	ρ	Label	ID
C₃²×C₂³⋊C₄		72		C3^2xC2^3:C4	288,317

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₂³⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₂³⋊C₄) = C₃×C₂³.₆D₆	φ: C₃×C₂³⋊C₄/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	24	4	C3:1(C3xC2^3:C4)	288,240
C₃⋊₂(C₃×C₂³⋊C₄) = C₃×C₂³.₇D₆	φ: C₃×C₂³⋊C₄/C₆×D₄ → C₂ ⊆ Aut C₃	24	4	C3:2(C3xC2^3:C4)	288,268

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₂³⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₂³⋊C₄) = C₉×C₂³⋊C₄	central extension (φ=1)	72	4	C3.(C3xC2^3:C4)	288,49

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C23⋊C4