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

Direct product G=N×Q with N=C12 and Q=C5⋊C8

Semidirect products G=N:Q with N=C12 and Q=C5⋊C8
extensionφ:Q→Aut NdρLabelID
C121(C5⋊C8) = C60⋊C8φ: C5⋊C8/Dic5C2 ⊆ Aut C12480C12:1(C5:C8)480,306
C122(C5⋊C8) = C4×C15⋊C8φ: C5⋊C8/Dic5C2 ⊆ Aut C12480C12:2(C5:C8)480,305
C123(C5⋊C8) = C3×C20⋊C8φ: C5⋊C8/Dic5C2 ⊆ Aut C12480C12:3(C5:C8)480,281

Non-split extensions G=N.Q with N=C12 and Q=C5⋊C8
extensionφ:Q→Aut NdρLabelID
C12.1(C5⋊C8) = C60.C8φ: C5⋊C8/Dic5C2 ⊆ Aut C122404C12.1(C5:C8)480,303
C12.2(C5⋊C8) = C15⋊C32φ: C5⋊C8/Dic5C2 ⊆ Aut C124804C12.2(C5:C8)480,6
C12.3(C5⋊C8) = C2×C15⋊C16φ: C5⋊C8/Dic5C2 ⊆ Aut C12480C12.3(C5:C8)480,302
C12.4(C5⋊C8) = C3×C20.C8φ: C5⋊C8/Dic5C2 ⊆ Aut C122404C12.4(C5:C8)480,278
C12.5(C5⋊C8) = C3×C5⋊C32central extension (φ=1)4804C12.5(C5:C8)480,5
C12.6(C5⋊C8) = C6×C5⋊C16central extension (φ=1)480C12.6(C5:C8)480,277