Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃⋊C₁₆

Direct product G=N×Q with N=C₆ and Q=C₃⋊C₁₆

		d	ρ	Label	ID
C₆×C₃⋊C₁₆		96		C6xC3:C16	288,245

Semidirect products G=N:Q with N=C₆ and Q=C₃⋊C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃⋊C₁₆) = C₂×C₂₄.S₃	φ: C₃⋊C₁₆/C₂₄ → C₂ ⊆ Aut C₆	288		C6:(C3:C16)	288,286

Non-split extensions G=N.Q with N=C₆ and Q=C₃⋊C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃⋊C₁₆) = C₉⋊C₃₂	φ: C₃⋊C₁₆/C₂₄ → C₂ ⊆ Aut C₆	288	2	C6.1(C3:C16)	288,1
C₆.₂(C₃⋊C₁₆) = C₂×C₉⋊C₁₆	φ: C₃⋊C₁₆/C₂₄ → C₂ ⊆ Aut C₆	288		C6.2(C3:C16)	288,18
C₆.₃(C₃⋊C₁₆) = C₄₈.S₃	φ: C₃⋊C₁₆/C₂₄ → C₂ ⊆ Aut C₆	288		C6.3(C3:C16)	288,65
C₆.₄(C₃⋊C₁₆) = C₃×C₃⋊C₃₂	central extension (φ=1)	96	2	C6.4(C3:C16)	288,64

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C6 and Q=C3⋊C16