Extensions 1→N→G→Q→1 with N=D5:C8 and Q=C6

Direct product G=NxQ with N=D5:C8 and Q=C6
dρLabelID
C6xD5:C8240C6xD5:C8480,1047

Semidirect products G=N:Q with N=D5:C8 and Q=C6
extensionφ:Q→Out NdρLabelID
D5:C8:1C6 = C3xD20:C4φ: C6/C3C2 ⊆ Out D5:C81208D5:C8:1C6480,287
D5:C8:2C6 = C3xD4.F5φ: C6/C3C2 ⊆ Out D5:C82408D5:C8:2C6480,1053
D5:C8:3C6 = C3xQ8.F5φ: C6/C3C2 ⊆ Out D5:C82408D5:C8:3C6480,1055
D5:C8:4C6 = C3xD5:M4(2)φ: C6/C3C2 ⊆ Out D5:C81204D5:C8:4C6480,1049

Non-split extensions G=N.Q with N=D5:C8 and Q=C6
extensionφ:Q→Out NdρLabelID
D5:C8.1C6 = C3xQ8:F5φ: C6/C3C2 ⊆ Out D5:C81208D5:C8.1C6480,289
D5:C8.2C6 = C3xC8:F5φ: C6/C3C2 ⊆ Out D5:C81204D5:C8.2C6480,272
D5:C8.3C6 = F5xC24φ: trivial image1204D5:C8.3C6480,271

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