Extensions 1→N→G→Q→1 with N=C12 and Q=C52C8

Direct product G=N×Q with N=C12 and Q=C52C8

Semidirect products G=N:Q with N=C12 and Q=C52C8
extensionφ:Q→Aut NdρLabelID
C121(C52C8) = C605C8φ: C52C8/C20C2 ⊆ Aut C12480C12:1(C5:2C8)480,164
C122(C52C8) = C4×C153C8φ: C52C8/C20C2 ⊆ Aut C12480C12:2(C5:2C8)480,162
C123(C52C8) = C3×C203C8φ: C52C8/C20C2 ⊆ Aut C12480C12:3(C5:2C8)480,82

Non-split extensions G=N.Q with N=C12 and Q=C52C8
extensionφ:Q→Aut NdρLabelID
C12.1(C52C8) = C60.7C8φ: C52C8/C20C2 ⊆ Aut C122402C12.1(C5:2C8)480,172
C12.2(C52C8) = C153C32φ: C52C8/C20C2 ⊆ Aut C124802C12.2(C5:2C8)480,3
C12.3(C52C8) = C2×C153C16φ: C52C8/C20C2 ⊆ Aut C12480C12.3(C5:2C8)480,171
C12.4(C52C8) = C3×C20.4C8φ: C52C8/C20C2 ⊆ Aut C122402C12.4(C5:2C8)480,90
C12.5(C52C8) = C3×C52C32central extension (φ=1)4802C12.5(C5:2C8)480,2
C12.6(C52C8) = C6×C52C16central extension (φ=1)480C12.6(C5:2C8)480,89