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

Direct product G=NxQ with N=C₃:C₁₆ and Q=C₄

		d	ρ	Label	ID
C₄xC₃: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 = Dic₃xC₁₆	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 = S₃xC₃₂	φ: trivial image	96	2	C3:C16.3C4	192,5

׿

x

:

Z

F

o

wr

Q

<