Extensions 1→N→G→Q→1 with N=C5:2C8 and Q=C12

Direct product G=NxQ with N=C5:2C8 and Q=C12
dρLabelID
C12xC5:2C8480C12xC5:2C8480,80

Semidirect products G=N:Q with N=C5:2C8 and Q=C12
extensionφ:Q→Out NdρLabelID
C5:2C8:1C12 = C3xC10.D8φ: C12/C6C2 ⊆ Out C5:2C8480C5:2C8:1C12480,85
C5:2C8:2C12 = C3xC20.Q8φ: C12/C6C2 ⊆ Out C5:2C8480C5:2C8:2C12480,86
C5:2C8:3C12 = C3xC42.D5φ: C12/C6C2 ⊆ Out C5:2C8480C5:2C8:3C12480,81
C5:2C8:4C12 = C3xC40:8C4φ: C12/C6C2 ⊆ Out C5:2C8480C5:2C8:4C12480,93
C5:2C8:5C12 = C3xC40:C4φ: C12/C6C2 ⊆ Out C5:2C81204C5:2C8:5C12480,273
C5:2C8:6C12 = C3xD5.D8φ: C12/C6C2 ⊆ Out C5:2C81204C5:2C8:6C12480,274
C5:2C8:7C12 = F5xC24φ: C12/C6C2 ⊆ Out C5:2C81204C5:2C8:7C12480,271
C5:2C8:8C12 = C3xC8:F5φ: C12/C6C2 ⊆ Out C5:2C81204C5:2C8:8C12480,272
C5:2C8:9C12 = Dic5xC24φ: trivial image480C5:2C8:9C12480,91

Non-split extensions G=N.Q with N=C5:2C8 and Q=C12
extensionφ:Q→Out NdρLabelID
C5:2C8.1C12 = C3xC20.53D4φ: C12/C6C2 ⊆ Out C5:2C82404C5:2C8.1C12480,100
C5:2C8.2C12 = C3xC80:C2φ: C12/C6C2 ⊆ Out C5:2C82402C5:2C8.2C12480,76
C5:2C8.3C12 = C3xC40.C4φ: C12/C6C2 ⊆ Out C5:2C82404C5:2C8.3C12480,275
C5:2C8.4C12 = C3xD10.Q8φ: C12/C6C2 ⊆ Out C5:2C82404C5:2C8.4C12480,276
C5:2C8.5C12 = C6xC5:C16φ: C12/C6C2 ⊆ Out C5:2C8480C5:2C8.5C12480,277
C5:2C8.6C12 = C3xC20.C8φ: C12/C6C2 ⊆ Out C5:2C82404C5:2C8.6C12480,278
C5:2C8.7C12 = D5xC48φ: trivial image2402C5:2C8.7C12480,75

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