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
C₃×C₃⋊D₄		12	2	C3xC3:D4	72,30

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/Dic₃ → C₂ ⊆ Aut C₃	12	4+	C3:1(C3:D4)	72,23
C₃⋊₂(C₃⋊D₄) = D₆⋊S₃	φ: C₃⋊D₄/D₆ → C₂ ⊆ Aut C₃	24	4-	C3:2(C3:D4)	72,22
C₃⋊₃(C₃⋊D₄) = C₃²⋊₇D₄	φ: C₃⋊D₄/C₂×C₆ → C₂ ⊆ Aut C₃	36		C3:3(C3:D4)	72,35

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) = C₉⋊D₄	φ: C₃⋊D₄/C₂×C₆ → C₂ ⊆ Aut C₃	36	2	C3.(C3:D4)	72,8

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