Extensions 1→N→G→Q→1 with N=C5 and Q=A4⋊Q8

Direct product G=N×Q with N=C5 and Q=A4⋊Q8
dρLabelID
C5×A4⋊Q81206C5xA4:Q8480,1013

Semidirect products G=N:Q with N=C5 and Q=A4⋊Q8
extensionφ:Q→Aut NdρLabelID
C51(A4⋊Q8) = A4⋊Dic10φ: A4⋊Q8/A4⋊C4C2 ⊆ Aut C51206-C5:1(A4:Q8)480,975
C52(A4⋊Q8) = C20.1S4φ: A4⋊Q8/C4×A4C2 ⊆ Aut C51206-C5:2(A4:Q8)480,1024


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