Extensions 1→N→G→Q→1 with N=C5 and Q=C2×C22≀C2

Direct product G=N×Q with N=C5 and Q=C2×C22≀C2
dρLabelID
C10×C22≀C280C10xC2^2wrC2320,1523

Semidirect products G=N:Q with N=C5 and Q=C2×C22≀C2
extensionφ:Q→Aut NdρLabelID
C51(C2×C22≀C2) = C2×C22⋊D20φ: C2×C22≀C2/C2×C22⋊C4C2 ⊆ Aut C580C5:1(C2xC2^2wrC2)320,1159
C52(C2×C22≀C2) = D5×C22≀C2φ: C2×C22≀C2/C22≀C2C2 ⊆ Aut C540C5:2(C2xC2^2wrC2)320,1260
C53(C2×C22≀C2) = C2×C23⋊D10φ: C2×C22≀C2/C22×D4C2 ⊆ Aut C580C5:3(C2xC2^2wrC2)320,1471
C54(C2×C22≀C2) = C2×C242D5φ: C2×C22≀C2/C25C2 ⊆ Aut C580C5:4(C2xC2^2wrC2)320,1512


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