Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×D₄

Direct product G=N×Q with N=C₃ and Q=C₃×D₄

		d	ρ	Label	ID
D₄×C₃²		36		D4xC3^2	72,37

Semidirect products G=N:Q with N=C₃ and Q=C₃×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×D₄) = C₃×D₁₂	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₃	24	2	C3:1(C3xD4)	72,28
C₃⋊₂(C₃×D₄) = C₃×C₃⋊D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₃	12	2	C3:2(C3xD4)	72,30

Non-split extensions G=N.Q with N=C₃ and Q=C₃×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×D₄) = D₄×C₉	central extension (φ=1)	36	2	C3.(C3xD4)	72,10

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×D4