Extensions 1→N→G→Q→1 with N=C5 and Q=C42⋊8C4

Direct product G=N×Q with N=C5 and Q=C42⋊8C4
dρLabelID
C5×C42⋊8C4320C5xC4^2:8C4320,883

Semidirect products G=N:Q with N=C5 and Q=C42⋊8C4
extensionφ:Q→Aut NdρLabelID
C5⋊(C42⋊8C4) = C42⋊9F5φ: C42⋊8C4/C42 → C4 ⊆ Aut C580C5:(C4^2:8C4)320,1027
C5⋊2(C42⋊8C4) = C5⋊2(C42⋊8C4)φ: C42⋊8C4/C2.C42 → C2 ⊆ Aut C5320C5:2(C4^2:8C4)320,277
C5⋊3(C42⋊8C4) = C42⋊9Dic5φ: C42⋊8C4/C2×C42 → C2 ⊆ Aut C5320C5:3(C4^2:8C4)320,563
C5⋊4(C42⋊8C4) = C20.48(C4⋊C4)φ: C42⋊8C4/C2×C4⋊C4 → C2 ⊆ Aut C5320C5:4(C4^2:8C4)320,604


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