Extensions 1→N→G→Q→1 with N=C23 and Q=C6

Direct product G=NxQ with N=C23 and Q=C6
dρLabelID
C23xC648C2^3xC648,52

Semidirect products G=N:Q with N=C23 and Q=C6
extensionφ:Q→Aut NdρLabelID
C23:C6 = C22xA4φ: C6/C2C3 ⊆ Aut C2312C2^3:C648,49
C23:2C6 = C6xD4φ: C6/C3C2 ⊆ Aut C2324C2^3:2C648,45

Non-split extensions G=N.Q with N=C23 and Q=C6
extensionφ:Q→Aut NdρLabelID
C23.C6 = C4xA4φ: C6/C2C3 ⊆ Aut C23123C2^3.C648,31
C23.2C6 = C3xC22:C4φ: C6/C3C2 ⊆ Aut C2324C2^3.2C648,21

׿
x
:
Z
F
o
wr
Q
<