Extensions 1→N→G→Q→1 with N=C₃ and Q=C₈.₁₂D₄

Direct product G=N×Q with N=C₃ and Q=C₈.₁₂D₄

		d	ρ	Label	ID
C₃×C₈.₁₂D₄		96		C3xC8.12D4	192,928

Semidirect products G=N:Q with N=C₃ and Q=C₈.₁₂D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₈.₁₂D₄) = C₈.₈D₁₂	φ: C₈.₁₂D₄/C₄×C₈ → C₂ ⊆ Aut C₃	96		C3:1(C8.12D4)	192,255
C₃⋊₂(C₈.₁₂D₄) = C₄².₂₁₄D₆	φ: C₈.₁₂D₄/C₄.₄D₄ → C₂ ⊆ Aut C₃	96		C3:2(C8.12D4)	192,618
C₃⋊₃(C₈.₁₂D₄) = C₂₄.₂₂D₄	φ: C₈.₁₂D₄/C₂×D₈ → C₂ ⊆ Aut C₃	96		C3:3(C8.12D4)	192,714
C₃⋊₄(C₈.₁₂D₄) = C₂₄.₄₃D₄	φ: C₈.₁₂D₄/C₂×SD₁₆ → C₂ ⊆ Aut C₃	96		C3:4(C8.12D4)	192,727
C₃⋊₅(C₈.₁₂D₄) = C₂₄.₂₈D₄	φ: C₈.₁₂D₄/C₂×Q₁₆ → C₂ ⊆ Aut C₃	96		C3:5(C8.12D4)	192,750

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