Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂⋊D₄

Direct product G=N×Q with N=C₃ and Q=C₁₂⋊D₄

		d	ρ	Label	ID
C₃×C₁₂⋊D₄		96		C3xC12:D4	288,666

Semidirect products G=N:Q with N=C₃ and Q=C₁₂⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂⋊D₄) = Dic₃⋊₃D₁₂	φ: C₁₂⋊D₄/D₆⋊C₄ → C₂ ⊆ Aut C₃	48		C3:1(C12:D4)	288,558
C₃⋊₂(C₁₂⋊D₄) = C₁₂⋊₃D₁₂	φ: C₁₂⋊D₄/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	144		C3:2(C12:D4)	288,752
C₃⋊₃(C₁₂⋊D₄) = C₁₂⋊₇D₁₂	φ: C₁₂⋊D₄/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	48		C3:3(C12:D4)	288,557
C₃⋊₄(C₁₂⋊D₄) = Dic₃⋊D₁₂	φ: C₁₂⋊D₄/C₂×D₁₂ → C₂ ⊆ Aut C₃	48		C3:4(C12:D4)	288,534
C₃⋊₅(C₁₂⋊D₄) = C₁₂⋊₂D₁₂	φ: C₁₂⋊D₄/C₂×D₁₂ → C₂ ⊆ Aut C₃	48		C3:5(C12:D4)	288,564

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂⋊D₄) = C₄⋊D₃₆	φ: C₁₂⋊D₄/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	144		C3.(C12:D4)	288,105

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