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

Direct product G=NxQ with N=C24 and Q=F5
dρLabelID
F5xC241204F5xC24480,271

Semidirect products G=N:Q with N=C24 and Q=F5
extensionφ:Q→Aut NdρLabelID
C24:1F5 = D5.D24φ: F5/D5C2 ⊆ Aut C241204C24:1F5480,299
C24:2F5 = C120:C4φ: F5/D5C2 ⊆ Aut C241204C24:2F5480,298
C24:3F5 = C3xD5.D8φ: F5/D5C2 ⊆ Aut C241204C24:3F5480,274
C24:4F5 = C8xC3:F5φ: F5/D5C2 ⊆ Aut C241204C24:4F5480,296
C24:5F5 = C24:F5φ: F5/D5C2 ⊆ Aut C241204C24:5F5480,297
C24:6F5 = C3xC40:C4φ: F5/D5C2 ⊆ Aut C241204C24:6F5480,273
C24:7F5 = C3xC8: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 = C3xD10.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 = C3xC40.C4φ: F5/D5C2 ⊆ Aut C242404C24.7F5480,275
C24.8F5 = C3xC8.F5φ: F5/D5C2 ⊆ Aut C242404C24.8F5480,270
C24.9F5 = C3xC5:C32central extension (φ=1)4804C24.9F5480,5
C24.10F5 = C3xD5:C16central extension (φ=1)2404C24.10F5480,269

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