Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆×D₈

Direct product G=N×Q with N=C₃ and Q=C₆×D₈

		d	ρ	Label	ID
D₈×C₃×C₆		144		D8xC3xC6	288,829

Semidirect products G=N:Q with N=C₃ and Q=C₆×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆×D₈) = C₆×D₂₄	φ: C₆×D₈/C₂×C₂₄ → C₂ ⊆ Aut C₃	96		C3:1(C6xD8)	288,674
C₃⋊₂(C₆×D₈) = C₃×S₃×D₈	φ: C₆×D₈/C₃×D₈ → C₂ ⊆ Aut C₃	48	4	C3:2(C6xD8)	288,681
C₃⋊₃(C₆×D₈) = C₆×D₄⋊S₃	φ: C₆×D₈/C₆×D₄ → C₂ ⊆ Aut C₃	48		C3:3(C6xD8)	288,702

Non-split extensions G=N.Q with N=C₃ and Q=C₆×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆×D₈) = D₈×C₁₈	central extension (φ=1)	144		C3.(C6xD8)	288,182

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6×D8