# Extensions 1→N→G→Q→1 with N=C24 and Q=F5

Direct product G=N×Q with N=C24 and Q=F5
dρLabelID
F5×C241204F5xC24480,271

Semidirect products G=N:Q with N=C24 and Q=F5
extensionφ:Q→Aut NdρLabelID
C241F5 = D5.D24φ: F5/D5C2 ⊆ Aut C241204C24:1F5480,299
C242F5 = C120⋊C4φ: F5/D5C2 ⊆ Aut C241204C24:2F5480,298
C243F5 = C3×D5.D8φ: F5/D5C2 ⊆ Aut C241204C24:3F5480,274
C244F5 = C8×C3⋊F5φ: F5/D5C2 ⊆ Aut C241204C24:4F5480,296
C245F5 = C24⋊F5φ: F5/D5C2 ⊆ Aut C241204C24:5F5480,297
C246F5 = C3×C40⋊C4φ: F5/D5C2 ⊆ Aut C241204C24:6F5480,273
C247F5 = C3×C8⋊F5φ: F5/D5C2 ⊆ Aut C241204C24:7F5480,272

Non-split extensions G=N.Q with N=C24 and Q=F5
extensionφ:Q→Aut NdρLabelID
C24.1F5 = C24.1F5φ: F5/D5C2 ⊆ Aut C242404C24.1F5480,301
C24.2F5 = C40.Dic3φ: F5/D5C2 ⊆ Aut C242404C24.2F5480,300
C24.3F5 = C3×D10.Q8φ: F5/D5C2 ⊆ Aut C242404C24.3F5480,276
C24.4F5 = C15⋊C32φ: F5/D5C2 ⊆ Aut C244804C24.4F5480,6
C24.5F5 = C24.F5φ: F5/D5C2 ⊆ Aut C242404C24.5F5480,294
C24.6F5 = C120.C4φ: F5/D5C2 ⊆ Aut C242404C24.6F5480,295
C24.7F5 = C3×C40.C4φ: F5/D5C2 ⊆ Aut C242404C24.7F5480,275
C24.8F5 = C3×C8.F5φ: F5/D5C2 ⊆ Aut C242404C24.8F5480,270
C24.9F5 = C3×C5⋊C32central extension (φ=1)4804C24.9F5480,5
C24.10F5 = C3×D5⋊C16central extension (φ=1)2404C24.10F5480,269

׿
×
𝔽