Extensions 1→N→G→Q→1 with N=C12 and Q=F5

Direct product G=NxQ with N=C12 and Q=F5
dρLabelID
C12xF5604C12xF5240,113

Semidirect products G=N:Q with N=C12 and Q=F5
extensionφ:Q→Aut NdρLabelID
C12:1F5 = C60:C4φ: F5/D5C2 ⊆ Aut C12604C12:1F5240,121
C12:2F5 = C4xC3:F5φ: F5/D5C2 ⊆ Aut C12604C12:2F5240,120
C12:3F5 = C3xC4:F5φ: F5/D5C2 ⊆ Aut C12604C12:3F5240,114

Non-split extensions G=N.Q with N=C12 and Q=F5
extensionφ:Q→Aut NdρLabelID
C12.1F5 = C12.F5φ: F5/D5C2 ⊆ Aut C121204C12.1F5240,119
C12.2F5 = C15:C16φ: F5/D5C2 ⊆ Aut C122404C12.2F5240,6
C12.3F5 = C60.C4φ: F5/D5C2 ⊆ Aut C121204C12.3F5240,118
C12.4F5 = C3xC4.F5φ: F5/D5C2 ⊆ Aut C121204C12.4F5240,112
C12.5F5 = C3xC5:C16central extension (φ=1)2404C12.5F5240,5
C12.6F5 = C3xD5:C8central extension (φ=1)1204C12.6F5240,111

׿
x
:
Z
F
o
wr
Q
<