Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈⋊D₄

Direct product G=N×Q with N=C₃ and Q=Q₈⋊D₄

		d	ρ	Label	ID
C₃×Q₈⋊D₄		96		C3xQ8:D4	192,881

Semidirect products G=N:Q with N=C₃ and Q=Q₈⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈⋊D₄) = Dic₆⋊₁₄D₄	φ: Q₈⋊D₄/C₂²⋊C₈ → C₂ ⊆ Aut C₃	96		C3:1(Q8:D4)	192,297
C₃⋊₂(Q₈⋊D₄) = Q₈⋊₃D₁₂	φ: Q₈⋊D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(Q8:D4)	192,365
C₃⋊₃(Q₈⋊D₄) = Dic₆⋊₁₇D₄	φ: Q₈⋊D₄/C₄⋊D₄ → C₂ ⊆ Aut C₃	96		C3:3(Q8:D4)	192,599
C₃⋊₄(Q₈⋊D₄) = D₆⋊₈SD₁₆	φ: Q₈⋊D₄/C₂×SD₁₆ → C₂ ⊆ Aut C₃	96		C3:4(Q8:D4)	192,729
C₃⋊₅(Q₈⋊D₄) = (C₃×Q₈)⋊₁₃D₄	φ: Q₈⋊D₄/C₂²×Q₈ → C₂ ⊆ Aut C₃	96		C3:5(Q8:D4)	192,786

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁