Extensions 1→N→G→Q→1 with N=C22 and Q=C3×C5⋊C8

Direct product G=N×Q with N=C22 and Q=C3×C5⋊C8
dρLabelID
C2×C6×C5⋊C8480C2xC6xC5:C8480,1057

Semidirect products G=N:Q with N=C22 and Q=C3×C5⋊C8
extensionφ:Q→Aut NdρLabelID
C22⋊(C3×C5⋊C8) = A4×C5⋊C8φ: C3×C5⋊C8/C5⋊C8C3 ⊆ Aut C2212012-C2^2:(C3xC5:C8)480,966
C222(C3×C5⋊C8) = C3×C23.2F5φ: C3×C5⋊C8/C3×Dic5C2 ⊆ Aut C22240C2^2:2(C3xC5:C8)480,292

Non-split extensions G=N.Q with N=C22 and Q=C3×C5⋊C8
extensionφ:Q→Aut NdρLabelID
C22.(C3×C5⋊C8) = C3×C20.C8φ: C3×C5⋊C8/C3×Dic5C2 ⊆ Aut C222404C2^2.(C3xC5:C8)480,278
C22.2(C3×C5⋊C8) = C6×C5⋊C16central extension (φ=1)480C2^2.2(C3xC5:C8)480,277

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