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	192,897

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.D₄	φ: Q₈.D₄/D₄⋊C₄ → C₂ ⊆ Aut C₃	96		C3:1(Q8.D4)	192,326
C₃⋊₂(Q₈.D₄) = Dic₆.₁₁D₄	φ: Q₈.D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(Q8.D4)	192,357
C₃⋊₃(Q₈.D₄) = C₄².₃₆D₆	φ: Q₈.D₄/C₄⋊C₈ → C₂ ⊆ Aut C₃	96		C3:3(Q8.D4)	192,404
C₃⋊₄(Q₈.D₄) = Q₈.₆D₁₂	φ: Q₈.D₄/C₄×Q₈ → C₂ ⊆ Aut C₃	96		C3:4(Q8.D4)	192,587
C₃⋊₅(Q₈.D₄) = C₄².₆₁D₆	φ: Q₈.D₄/C₄.₄D₄ → C₂ ⊆ Aut C₃	96		C3:5(Q8.D4)	192,613
C₃⋊₆(Q₈.D₄) = (C₃×Q₈).D₄	φ: Q₈.D₄/C₂×SD₁₆ → C₂ ⊆ Aut C₃	96		C3:6(Q8.D4)	192,725
C₃⋊₇(Q₈.D₄) = (C₂×Q₁₆)⋊S₃	φ: Q₈.D₄/C₂×Q₁₆ → C₂ ⊆ Aut C₃	96		C3:7(Q8.D4)	192,744

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁