Extensions 1→N→G→Q→1 with N=C₄oD₂₈ and Q=C₂

Direct product G=NxQ with N=C₄oD₂₈ and Q=C₂

		d	ρ	Label	ID
C₂xC₄oD₂₈		112		C2xC4oD28	224,177

Semidirect products G=N:Q with N=C₄oD₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₂₈:₁C₂ = D₅₆:₇C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄oD₂₈	112	2	C4oD28:1C2	224,99
C₄oD₂₈:₂C₂ = C₈:D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄oD₂₈	56	4+	C4oD28:2C2	224,103
C₄oD₂₈:₃C₂ = D₄.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄oD₂₈	56	4	C4oD28:3C2	224,127
C₄oD₂₈:₄C₂ = D₄.₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄oD₂₈	112	4	C4oD28:4C2	224,145
C₄oD₂₈:₅C₂ = D₄:₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄oD₂₈	56	4	C4oD28:5C2	224,180
C₄oD₂₈:₆C₂ = Q₈.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄oD₂₈	112	4	C4oD28:6C2	224,183
C₄oD₂₈:₇C₂ = D₇xC₄oD₄	φ: C₂/C₁ → C₂ ⊆ Out C₄oD₂₈	56	4	C4oD28:7C2	224,184
C₄oD₂₈:₈C₂ = D₄:₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄oD₂₈	56	4+	C4oD28:8C2	224,185
C₄oD₂₈:₉C₂ = D₄.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄oD₂₈	112	4-	C4oD28:9C2	224,186

Non-split extensions G=N.Q with N=C₄oD₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₂₈.₁C₂ = Dic₁₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄oD₂₈	56	2	C4oD28.1C2	224,11
C₄oD₂₈.₂C₂ = D₂₈:₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄oD₂₈	56	4	C4oD28.2C2	224,31
C₄oD₂₈.₃C₂ = D₂₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄oD₂₈	112	4	C4oD28.3C2	224,102
C₄oD₂₈.₄C₂ = C₈.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄oD₂₈	112	4-	C4oD28.4C2	224,104
C₄oD₂₈.₅C₂ = C₂₈.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄oD₂₈	112	4	C4oD28.5C2	224,137
C₄oD₂₈.₆C₂ = D₂₈.₂C₄	φ: trivial image	112	2	C4oD28.6C2	224,96

׿

x

:

Z

F

o

wr

Q

<