Extensions 1→N→G→Q→1 with N=C5 and Q=C2×C4⋊Q8

Direct product G=N×Q with N=C5 and Q=C2×C4⋊Q8
dρLabelID
C10×C4⋊Q8320C10xC4:Q8320,1533

Semidirect products G=N:Q with N=C5 and Q=C2×C4⋊Q8
extensionφ:Q→Aut NdρLabelID
C51(C2×C4⋊Q8) = C2×C202Q8φ: C2×C4⋊Q8/C2×C42C2 ⊆ Aut C5320C5:1(C2xC4:Q8)320,1140
C52(C2×C4⋊Q8) = C2×C20⋊Q8φ: C2×C4⋊Q8/C2×C4⋊C4C2 ⊆ Aut C5320C5:2(C2xC4:Q8)320,1169
C53(C2×C4⋊Q8) = D5×C4⋊Q8φ: C2×C4⋊Q8/C4⋊Q8C2 ⊆ Aut C5160C5:3(C2xC4:Q8)320,1395
C54(C2×C4⋊Q8) = C2×Dic5⋊Q8φ: C2×C4⋊Q8/C22×Q8C2 ⊆ Aut C5320C5:4(C2xC4:Q8)320,1482


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