Extensions 1→N→G→Q→1 with N=D4 and Q=C3:S3

Direct product G=NxQ with N=D4 and Q=C3:S3
dρLabelID
D4xC3:S336D4xC3:S3144,172

Semidirect products G=N:Q with N=D4 and Q=C3:S3
extensionφ:Q→Out NdρLabelID
D4:(C3:S3) = C32:7D8φ: C3:S3/C32C2 ⊆ Out D472D4:(C3:S3)144,96
D4:2(C3:S3) = C12.D6φ: trivial image72D4:2(C3:S3)144,173

Non-split extensions G=N.Q with N=D4 and Q=C3:S3
extensionφ:Q→Out NdρLabelID
D4.(C3:S3) = C32:9SD16φ: C3:S3/C32C2 ⊆ Out D472D4.(C3:S3)144,97

׿
x
:
Z
F
o
wr
Q
<