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

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

		d	ρ	Label	ID
C₃×Dic₃⋊Q₈		96		C3xDic3:Q8	288,715

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Dic₃⋊Q₈) = Dic₃⋊Dic₆	φ: Dic₃⋊Q₈/C₄×Dic₃ → C₂ ⊆ Aut C₃	96		C3:1(Dic3:Q8)	288,514
C₃⋊₂(Dic₃⋊Q₈) = C₆².₉C₂³	φ: Dic₃⋊Q₈/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(Dic3:Q8)	288,487
C₃⋊₃(Dic₃⋊Q₈) = C₆².₄₃C₂³	φ: Dic₃⋊Q₈/C₂×Dic₆ → C₂ ⊆ Aut C₃	96		C3:3(Dic3:Q8)	288,521
C₃⋊₄(Dic₃⋊Q₈) = C₆².₂₅₉C₂³	φ: Dic₃⋊Q₈/C₆×Q₈ → C₂ ⊆ Aut C₃	288		C3:4(Dic3:Q8)	288,801

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Dic₃⋊Q₈) = Dic₉⋊Q₈	φ: Dic₃⋊Q₈/C₆×Q₈ → C₂ ⊆ Aut C₃	288		C3.(Dic3:Q8)	288,154

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁