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Extensions 1→N→G→Q→1 with N=C5 and Q=C8⋊9D4

Direct product G=N×Q with N=C5 and Q=C8⋊9D4
dρLabelID
C5×C8⋊9D4160C5xC8:9D4320,936

Semidirect products G=N:Q with N=C5 and Q=C8⋊9D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(C8⋊9D4) = C5⋊C8⋊D4φ: C8⋊9D4/C22⋊C4 → C4 ⊆ Aut C5160C5:1(C8:9D4)320,1031
C5⋊2(C8⋊9D4) = D10⋊M4(2)φ: C8⋊9D4/C22⋊C4 → C4 ⊆ Aut C5160C5:2(C8:9D4)320,1032
C5⋊3(C8⋊9D4) = D10⋊2M4(2)φ: C8⋊9D4/C4⋊C4 → C4 ⊆ Aut C5160C5:3(C8:9D4)320,1042
C5⋊4(C8⋊9D4) = C5⋊C8⋊7D4φ: C8⋊9D4/C2×D4 → C4 ⊆ Aut C5160C5:4(C8:9D4)320,1111
C5⋊5(C8⋊9D4) = C8⋊9D20φ: C8⋊9D4/C8⋊C4 → C2 ⊆ Aut C5160C5:5(C8:9D4)320,333
C5⋊6(C8⋊9D4) = D10⋊4M4(2)φ: C8⋊9D4/C22⋊C8 → C2 ⊆ Aut C5160C5:6(C8:9D4)320,355
C5⋊7(C8⋊9D4) = C5⋊2C8⋊26D4φ: C8⋊9D4/C22⋊C8 → C2 ⊆ Aut C5160C5:7(C8:9D4)320,357
C5⋊8(C8⋊9D4) = D10⋊5M4(2)φ: C8⋊9D4/C4⋊C8 → C2 ⊆ Aut C5160C5:8(C8:9D4)320,463
C5⋊9(C8⋊9D4) = C42.47D10φ: C8⋊9D4/C4×D4 → C2 ⊆ Aut C5160C5:9(C8:9D4)320,638
C5⋊10(C8⋊9D4) = C40⋊32D4φ: C8⋊9D4/C22×C8 → C2 ⊆ Aut C5160C5:10(C8:9D4)320,738
C5⋊11(C8⋊9D4) = C40⋊D4φ: C8⋊9D4/C2×M4(2) → C2 ⊆ Aut C5160C5:11(C8:9D4)320,754


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