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

Direct product G=N×Q with N=C12 and Q=F5

Semidirect products G=N:Q with N=C12 and Q=F5
extensionφ:Q→Aut NdρLabelID
C121F5 = C60⋊C4φ: F5/D5C2 ⊆ Aut C12604C12:1F5240,121
C122F5 = C4×C3⋊F5φ: F5/D5C2 ⊆ Aut C12604C12:2F5240,120
C123F5 = C3×C4⋊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 = C3×C4.F5φ: F5/D5C2 ⊆ Aut C121204C12.4F5240,112
C12.5F5 = C3×C5⋊C16central extension (φ=1)2404C12.5F5240,5
C12.6F5 = C3×D5⋊C8central extension (φ=1)1204C12.6F5240,111