Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₈⋊C₄

Direct product G=N×Q with N=C₃ and Q=C₂×C₈⋊C₄

		d	ρ	Label	ID
C₆×C₈⋊C₄		192		C6xC8:C4	192,836

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₈⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₈⋊C₄) = S₃×C₈⋊C₄	φ: C₂×C₈⋊C₄/C₈⋊C₄ → C₂ ⊆ Aut C₃	96		C3:1(C2xC8:C4)	192,263
C₃⋊₂(C₂×C₈⋊C₄) = C₂×C₄².S₃	φ: C₂×C₈⋊C₄/C₂×C₄² → C₂ ⊆ Aut C₃	192		C3:2(C2xC8:C4)	192,480
C₃⋊₃(C₂×C₈⋊C₄) = C₂×C₂₄⋊C₄	φ: C₂×C₈⋊C₄/C₂²×C₈ → C₂ ⊆ Aut C₃	192		C3:3(C2xC8:C4)	192,659

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁