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

Direct product G=N×Q with N=C52C8 and Q=C12
dρLabelID
C12×C52C8480C12xC5:2C8480,80

Semidirect products G=N:Q with N=C52C8 and Q=C12
extensionφ:Q→Out NdρLabelID
C52C81C12 = C3×C10.D8φ: C12/C6C2 ⊆ Out C52C8480C5:2C8:1C12480,85
C52C82C12 = C3×C20.Q8φ: C12/C6C2 ⊆ Out C52C8480C5:2C8:2C12480,86
C52C83C12 = C3×C42.D5φ: C12/C6C2 ⊆ Out C52C8480C5:2C8:3C12480,81
C52C84C12 = C3×C408C4φ: C12/C6C2 ⊆ Out C52C8480C5:2C8:4C12480,93
C52C85C12 = C3×C40⋊C4φ: C12/C6C2 ⊆ Out C52C81204C5:2C8:5C12480,273
C52C86C12 = C3×D5.D8φ: C12/C6C2 ⊆ Out C52C81204C5:2C8:6C12480,274
C52C87C12 = F5×C24φ: C12/C6C2 ⊆ Out C52C81204C5:2C8:7C12480,271
C52C88C12 = C3×C8⋊F5φ: C12/C6C2 ⊆ Out C52C81204C5:2C8:8C12480,272
C52C89C12 = Dic5×C24φ: trivial image480C5:2C8:9C12480,91

Non-split extensions G=N.Q with N=C52C8 and Q=C12
extensionφ:Q→Out NdρLabelID
C52C8.1C12 = C3×C20.53D4φ: C12/C6C2 ⊆ Out C52C82404C5:2C8.1C12480,100
C52C8.2C12 = C3×C80⋊C2φ: C12/C6C2 ⊆ Out C52C82402C5:2C8.2C12480,76
C52C8.3C12 = C3×C40.C4φ: C12/C6C2 ⊆ Out C52C82404C5:2C8.3C12480,275
C52C8.4C12 = C3×D10.Q8φ: C12/C6C2 ⊆ Out C52C82404C5:2C8.4C12480,276
C52C8.5C12 = C6×C5⋊C16φ: C12/C6C2 ⊆ Out C52C8480C5:2C8.5C12480,277
C52C8.6C12 = C3×C20.C8φ: C12/C6C2 ⊆ Out C52C82404C5:2C8.6C12480,278
C52C8.7C12 = D5×C48φ: trivial image2402C5:2C8.7C12480,75

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