Extensions 1→N→G→Q→1 with N=C₄oD₄ and Q=C₁₄

Direct product G=NxQ with N=C₄oD₄ and Q=C₁₄

		d	ρ	Label	ID
C₁₄xC₄oD₄		112		C14xC4oD4	224,192

Semidirect products G=N:Q with N=C₄oD₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄:₁C₁₄ = C₇xC₄oD₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄oD₄	112	2	C4oD4:1C14	224,170
C₄oD₄:₂C₁₄ = C₇xC₈:C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄oD₄	56	4	C4oD4:2C14	224,171
C₄oD₄:₃C₁₄ = C₇x2₊¹⁺⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄oD₄	56	4	C4oD4:3C14	224,193
C₄oD₄:₄C₁₄ = C₇x2_-¹⁺⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄oD₄	112	4	C4oD4:4C14	224,194

Non-split extensions G=N.Q with N=C₄oD₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄.₁C₁₄ = C₇xC₄wrC₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₄oD₄	56	2	C4oD4.1C14	224,53
C₄oD₄.₂C₁₄ = C₇xC₈.C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄oD₄	112	4	C4oD4.2C14	224,172
C₄oD₄.₃C₁₄ = C₇xC₈oD₄	φ: trivial image	112	2	C4oD4.3C14	224,166

׿

x

:

Z

F

o

wr

Q

<