Extensions 1→N→G→Q→1 with N=Q8:2S3 and Q=C2

Direct product G=NxQ with N=Q8:2S3 and Q=C2
dρLabelID
C2xQ8:2S348C2xQ8:2S396,148

Semidirect products G=N:Q with N=Q8:2S3 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8:2S3:1C2 = S3xSD16φ: C2/C1C2 ⊆ Out Q8:2S3244Q8:2S3:1C296,120
Q8:2S3:2C2 = Q8:3D6φ: C2/C1C2 ⊆ Out Q8:2S3244+Q8:2S3:2C296,121
Q8:2S3:3C2 = Q16:S3φ: C2/C1C2 ⊆ Out Q8:2S3484Q8:2S3:3C296,125
Q8:2S3:4C2 = D24:C2φ: C2/C1C2 ⊆ Out Q8:2S3484+Q8:2S3:4C296,126
Q8:2S3:5C2 = Q8.11D6φ: C2/C1C2 ⊆ Out Q8:2S3484Q8:2S3:5C296,149
Q8:2S3:6C2 = D4:D6φ: C2/C1C2 ⊆ Out Q8:2S3244+Q8:2S3:6C296,156
Q8:2S3:7C2 = Q8.13D6φ: trivial image484Q8:2S3:7C296,157


׿
x
:
Z
F
o
wr
Q
<