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Extensions 1→N→G→Q→1 with N=C5 and Q=C8⋊4Q8

Direct product G=N×Q with N=C5 and Q=C8⋊4Q8
dρLabelID
C5×C8⋊4Q8320C5xC8:4Q8320,947

Semidirect products G=N:Q with N=C5 and Q=C8⋊4Q8
extensionφ:Q→Aut NdρLabelID
C5⋊1(C8⋊4Q8) = Dic5.M4(2)φ: C8⋊4Q8/C4⋊C4 → C4 ⊆ Aut C5320C5:1(C8:4Q8)320,1045
C5⋊2(C8⋊4Q8) = C20.M4(2)φ: C8⋊4Q8/C4⋊C4 → C4 ⊆ Aut C5320C5:2(C8:4Q8)320,1047
C5⋊3(C8⋊4Q8) = C20.6M4(2)φ: C8⋊4Q8/C2×Q8 → C4 ⊆ Aut C5320C5:3(C8:4Q8)320,1126
C5⋊4(C8⋊4Q8) = C40⋊11Q8φ: C8⋊4Q8/C4×C8 → C2 ⊆ Aut C5320C5:4(C8:4Q8)320,306
C5⋊5(C8⋊4Q8) = C40⋊Q8φ: C8⋊4Q8/C8⋊C4 → C2 ⊆ Aut C5320C5:5(C8:4Q8)320,328
C5⋊6(C8⋊4Q8) = Dic5.5M4(2)φ: C8⋊4Q8/C4⋊C8 → C2 ⊆ Aut C5320C5:6(C8:4Q8)320,455
C5⋊7(C8⋊4Q8) = C42.198D10φ: C8⋊4Q8/C4⋊C8 → C2 ⊆ Aut C5320C5:7(C8:4Q8)320,458
C5⋊8(C8⋊4Q8) = C42.210D10φ: C8⋊4Q8/C4×Q8 → C2 ⊆ Aut C5320C5:8(C8:4Q8)320,651


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