Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈⋊Dic₃

Direct product G=N×Q with N=C₃ and Q=Q₈⋊Dic₃

		d	ρ	Label	ID
C₃×Q₈⋊Dic₃		96		C3xQ8:Dic3	288,399

Semidirect products G=N:Q with N=C₃ and Q=Q₈⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(Q₈⋊Dic₃) = C₆.GL₂(𝔽₃)	φ: Q₈⋊Dic₃/C₂×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	96		C3:(Q8:Dic3)	288,403

Non-split extensions G=N.Q with N=C₃ and Q=Q₈⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈⋊Dic₃) = Q₈⋊Dic₉	φ: Q₈⋊Dic₃/C₂×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	288		C3.(Q8:Dic3)	288,69

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=Q8⋊Dic3