Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₄⋊D₄

Direct product G=N×Q with N=C₃ and Q=C₃×C₄⋊D₄

		d	ρ	Label	ID
C₃²×C₄⋊D₄		144		C3^2xC4:D4	288,818

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₄⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₄⋊D₄) = C₃×Dic₃⋊D₄	φ: C₃×C₄⋊D₄/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	48		C3:1(C3xC4:D4)	288,655
C₃⋊₂(C₃×C₄⋊D₄) = C₃×C₁₂⋊D₄	φ: C₃×C₄⋊D₄/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C3xC4:D4)	288,666
C₃⋊₃(C₃×C₄⋊D₄) = C₃×C₁₂⋊₇D₄	φ: C₃×C₄⋊D₄/C₂²×C₁₂ → C₂ ⊆ Aut C₃	48		C3:3(C3xC4:D4)	288,701
C₃⋊₄(C₃×C₄⋊D₄) = C₃×D₆⋊₃D₄	φ: C₃×C₄⋊D₄/C₆×D₄ → C₂ ⊆ Aut C₃	48		C3:4(C3xC4:D4)	288,709
C₃⋊₅(C₃×C₄⋊D₄) = C₃×C₂³.₁₄D₆	φ: C₃×C₄⋊D₄/C₆×D₄ → C₂ ⊆ Aut C₃	48		C3:5(C3xC4:D4)	288,710

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₄⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₄⋊D₄) = C₉×C₄⋊D₄	central extension (φ=1)	144		C3.(C3xC4:D4)	288,171

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