Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆×Q₈

Direct product G=N×Q with N=C₃ and Q=C₆×Q₈

		d	ρ	Label	ID
Q₈×C₃×C₆		144		Q8xC3xC6	144,180

Semidirect products G=N:Q with N=C₃ and Q=C₆×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆×Q₈) = C₆×Dic₆	φ: C₆×Q₈/C₂×C₁₂ → C₂ ⊆ Aut C₃	48		C3:1(C6xQ8)	144,158
C₃⋊₂(C₆×Q₈) = C₃×S₃×Q₈	φ: C₆×Q₈/C₃×Q₈ → C₂ ⊆ Aut C₃	48	4	C3:2(C6xQ8)	144,164

Non-split extensions G=N.Q with N=C₃ and Q=C₆×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆×Q₈) = Q₈×C₁₈	central extension (φ=1)	144		C3.(C6xQ8)	144,49

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6×Q8