Extensions 1→N→G→Q→1 with N=C5 and Q=C2×2+ 1+4

Direct product G=N×Q with N=C5 and Q=C2×2+ 1+4
dρLabelID
C10×2+ 1+480C10xES+(2,2)320,1632

Semidirect products G=N:Q with N=C5 and Q=C2×2+ 1+4
extensionφ:Q→Aut NdρLabelID
C5⋊1(C2×2+ 1+4) = C2×D4⋊6D10φ: C2×2+ 1+4/C22×D4 → C2 ⊆ Aut C580C5:1(C2xES+(2,2))320,1614
C5⋊2(C2×2+ 1+4) = C2×D4⋊8D10φ: C2×2+ 1+4/C2×C4○D4 → C2 ⊆ Aut C580C5:2(C2xES+(2,2))320,1619
C5⋊3(C2×2+ 1+4) = D5×2+ 1+4φ: C2×2+ 1+4/2+ 1+4 → C2 ⊆ Aut C5408+C5:3(C2xES+(2,2))320,1622


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