Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂xD₅₆

Direct product G=NxQ with N=C₂ and Q=C₂xD₅₆

		d	ρ	Label	ID
C₂²xD₅₆		224		C2^2xD56	448,1193

Non-split extensions G=N.Q with N=C₂ and Q=C₂xD₅₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂xD₅₆) = C₄xD₅₆	central extension (φ=1)	224		C2.1(C2xD56)	448,226
C₂.₂(C₂xD₅₆) = C₂xC₅₆:₁C₄	central extension (φ=1)	448		C2.2(C2xD56)	448,639
C₂.₃(C₂xD₅₆) = C₂xC₂.D₅₆	central extension (φ=1)	224		C2.3(C2xD56)	448,646
C₂.₄(C₂xD₅₆) = C₅₆:₈Q₈	central stem extension (φ=1)	448		C2.4(C2xD56)	448,216
C₂.₅(C₂xD₅₆) = C₄.₅D₅₆	central stem extension (φ=1)	224		C2.5(C2xD56)	448,228
C₂.₆(C₂xD₅₆) = C₂₈:₄D₈	central stem extension (φ=1)	224		C2.6(C2xD56)	448,229
C₂.₇(C₂xD₅₆) = D₂₈:₁₃D₄	central stem extension (φ=1)	112		C2.7(C2xD56)	448,266
C₂.₈(C₂xD₅₆) = C₂².D₅₆	central stem extension (φ=1)	224		C2.8(C2xD56)	448,270
C₂.₉(C₂xD₅₆) = C₄:D₅₆	central stem extension (φ=1)	224		C2.9(C2xD56)	448,377
C₂.₁₀(C₂xD₅₆) = D₂₈:₄Q₈	central stem extension (φ=1)	224		C2.10(C2xD56)	448,380
C₂.₁₁(C₂xD₅₆) = C₂xD₁₁₂	central stem extension (φ=1)	224		C2.11(C2xD56)	448,436
C₂.₁₂(C₂xD₅₆) = C₂xC₁₁₂:C₂	central stem extension (φ=1)	224		C2.12(C2xD56)	448,437
C₂.₁₃(C₂xD₅₆) = D₁₁₂:₇C₂	central stem extension (φ=1)	224	2	C2.13(C2xD56)	448,438
C₂.₁₄(C₂xD₅₆) = C₂xDic₅₆	central stem extension (φ=1)	448		C2.14(C2xD56)	448,439
C₂.₁₅(C₂xD₅₆) = C₁₆:D₁₄	central stem extension (φ=1)	112	4+	C2.15(C2xD56)	448,442
C₂.₁₆(C₂xD₅₆) = C₁₆.D₁₄	central stem extension (φ=1)	224	4-	C2.16(C2xD56)	448,443
C₂.₁₇(C₂xD₅₆) = C₅₆:₂₉D₄	central stem extension (φ=1)	224		C2.17(C2xD56)	448,649

׿

x

:

Z

F

o

wr

Q

<