Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄×C₁₂

Direct product G=N×Q with N=C₆ and Q=C₄×C₁₂

		d	ρ	Label	ID
C₂×C₁₂²		288		C2xC12^2	288,811

Semidirect products G=N:Q with N=C₆ and Q=C₄×C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₄×C₁₂) = Dic₃×C₂×C₁₂	φ: C₄×C₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₆	96		C6:(C4xC12)	288,693

Non-split extensions G=N.Q with N=C₆ and Q=C₄×C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₄×C₁₂) = C₁₂×C₃⋊C₈	φ: C₄×C₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₆	96		C6.1(C4xC12)	288,236
C₆.₂(C₄×C₁₂) = C₃×C₄².S₃	φ: C₄×C₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₆	96		C6.2(C4xC12)	288,237
C₆.₃(C₄×C₁₂) = Dic₃×C₂₄	φ: C₄×C₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₆	96		C6.3(C4xC12)	288,247
C₆.₄(C₄×C₁₂) = C₃×C₂₄⋊C₄	φ: C₄×C₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₆	96		C6.4(C4xC12)	288,249
C₆.₅(C₄×C₁₂) = C₃×C₆.C₄²	φ: C₄×C₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₆	96		C6.5(C4xC12)	288,265
C₆.₆(C₄×C₁₂) = C₉×C₂.C₄²	central extension (φ=1)	288		C6.6(C4xC12)	288,45
C₆.₇(C₄×C₁₂) = C₉×C₈⋊C₄	central extension (φ=1)	288		C6.7(C4xC12)	288,47
C₆.₈(C₄×C₁₂) = C₃²×C₂.C₄²	central extension (φ=1)	288		C6.8(C4xC12)	288,313
C₆.₉(C₄×C₁₂) = C₃²×C₈⋊C₄	central extension (φ=1)	288		C6.9(C4xC12)	288,315

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