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Extensions 1→N→G→Q→1 with N=C5 and Q=C4.10D8

Direct product G=N×Q with N=C5 and Q=C4.10D8
dρLabelID
C5×C4.10D8320C5xC4.10D8320,137

Semidirect products G=N:Q with N=C5 and Q=C4.10D8
extensionφ:Q→Aut NdρLabelID
C5⋊(C4.10D8) = Dic5.D8φ: C4.10D8/C4⋊C4 → C4 ⊆ Aut C5320C5:(C4.10D8)320,211
C5⋊2(C4.10D8) = C20.47D8φ: C4.10D8/C4⋊C8 → C2 ⊆ Aut C5320C5:2(C4.10D8)320,40
C5⋊3(C4.10D8) = C20.2D8φ: C4.10D8/C4⋊C8 → C2 ⊆ Aut C5320C5:3(C4.10D8)320,44
C5⋊4(C4.10D8) = C20.10D8φ: C4.10D8/C4⋊Q8 → C2 ⊆ Aut C5320C5:4(C4.10D8)320,105


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