Extensions 1→N→G→Q→1 with N=C₃⋊C₁₆ and Q=C₄

Direct product G=N×Q with N=C₃⋊C₁₆ and Q=C₄

		d	ρ	Label	ID
C₄×C₃⋊C₁₆		192		C4xC3:C16	192,19

Semidirect products G=N:Q with N=C₃⋊C₁₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₁₆⋊₁C₄ = C₈.Dic₆	φ: C₄/C₁ → C₄ ⊆ Out C₃⋊C₁₆	48	4	C3:C16:1C4	192,46
C₃⋊C₁₆⋊₂C₄ = C₂₄.₆Q₈	φ: C₄/C₁ → C₄ ⊆ Out C₃⋊C₁₆	48	4	C3:C16:2C4	192,53
C₃⋊C₁₆⋊₃C₄ = C₁₂.₁₅C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₃⋊C₁₆	48	4	C3:C16:3C4	192,25
C₃⋊C₁₆⋊₄C₄ = C₄₈⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₃⋊C₁₆	48	4	C3:C16:4C4	192,71
C₃⋊C₁₆⋊₅C₄ = C₆.₆D₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊C₁₆	192		C3:C16:5C4	192,48
C₃⋊C₁₆⋊₆C₄ = C₆.SD₃₂	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊C₁₆	192		C3:C16:6C4	192,49
C₃⋊C₁₆⋊₇C₄ = C₂₄.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊C₁₆	192		C3:C16:7C4	192,20
C₃⋊C₁₆⋊₈C₄ = C₄₈⋊₁₀C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊C₁₆	192		C3:C16:8C4	192,61
C₃⋊C₁₆⋊₉C₄ = Dic₃×C₁₆	φ: trivial image	192		C3:C16:9C4	192,59

Non-split extensions G=N.Q with N=C₃⋊C₁₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₁₆.₁C₄ = C₂₄.₇Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊C₁₆	96	4	C3:C16.1C4	192,52
C₃⋊C₁₆.₂C₄ = C₉₆⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊C₁₆	96	2	C3:C16.2C4	192,6
C₃⋊C₁₆.₃C₄ = S₃×C₃₂	φ: trivial image	96	2	C3:C16.3C4	192,5

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