Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²⋊Q₈

Direct product G=N×Q with N=C₃ and Q=C₂²⋊Q₈

		d	ρ	Label	ID
C₃×C₂²⋊Q₈		48		C3xC2^2:Q8	96,169

Semidirect products G=N:Q with N=C₃ and Q=C₂²⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂²⋊Q₈) = Dic₃.D₄	φ: C₂²⋊Q₈/C₂²⋊C₄ → C₂ ⊆ Aut C₃	48		C3:1(C2^2:Q8)	96,85
C₃⋊₂(C₂²⋊Q₈) = D₆⋊Q₈	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₃	48		C3:2(C2^2:Q8)	96,103
C₃⋊₃(C₂²⋊Q₈) = C₄.D₁₂	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₃	48		C3:3(C2^2:Q8)	96,104
C₃⋊₄(C₂²⋊Q₈) = C₁₂.₄₈D₄	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₃	48		C3:4(C2^2:Q8)	96,131
C₃⋊₅(C₂²⋊Q₈) = D₆⋊₃Q₈	φ: C₂²⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₃	48		C3:5(C2^2:Q8)	96,153

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁