Extensions 1→N→G→Q→1 with N=C₁₆ and Q=Dic₃

Direct product G=N×Q with N=C₁₆ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₁₆		192		Dic3xC16	192,59

Semidirect products G=N:Q with N=C₁₆ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁Dic₃ = C₂₄.Q₈	φ: Dic₃/C₃ → C₄ ⊆ Aut C₁₆	48	4	C16:1Dic3	192,72
C₁₆⋊₂Dic₃ = C₄₈⋊C₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₁₆	48	4	C16:2Dic3	192,71
C₁₆⋊₃Dic₃ = C₄₈⋊₅C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₆	192		C16:3Dic3	192,63
C₁₆⋊₄Dic₃ = C₄₈⋊₆C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₆	192		C16:4Dic3	192,64
C₁₆⋊₅Dic₃ = C₄₈⋊₁₀C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₆	192		C16:5Dic3	192,61

Non-split extensions G=N.Q with N=C₁₆ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.₁Dic₃ = C₄₈.C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₆	96	2	C16.1Dic3	192,65
C₁₆.₂Dic₃ = C₃⋊M₆(2)	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₆	96	2	C16.2Dic3	192,58
C₁₆.₃Dic₃ = C₃⋊C₆₄	central extension (φ=1)	192	2	C16.3Dic3	192,1
C₁₆.₄Dic₃ = C₂×C₃⋊C₃₂	central extension (φ=1)	192		C16.4Dic3	192,57

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