Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂⋊C₈

Direct product G=N×Q with N=C₃ and Q=C₁₂⋊C₈

		d	ρ	Label	ID
C₃×C₁₂⋊C₈		96		C3xC12:C8	288,238

Semidirect products G=N:Q with N=C₃ and Q=C₁₂⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂⋊C₈) = C₁₂.₈₁D₁₂	φ: C₁₂⋊C₈/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	96		C3:1(C12:C8)	288,219
C₃⋊₂(C₁₂⋊C₈) = C₁₂.₅₇D₁₂	φ: C₁₂⋊C₈/C₄×C₁₂ → C₂ ⊆ Aut C₃	288		C3:2(C12:C8)	288,279

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂⋊C₈) = C₃₆⋊C₈	φ: C₁₂⋊C₈/C₄×C₁₂ → C₂ ⊆ Aut C₃	288		C3.(C12:C8)	288,11

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Extensions 1→N→G→Q→1 with N=C3 and Q=C12⋊C8