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Extensions 1→N→G→Q→1 with N=C5 and Q=C2×C4.4D4

Direct product G=N×Q with N=C5 and Q=C2×C4.4D4
dρLabelID
C10×C4.4D4160C10xC4.4D4320,1528

Semidirect products G=N:Q with N=C5 and Q=C2×C4.4D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(C2×C4.4D4) = C2×C4.D20φ: C2×C4.4D4/C2×C42 → C2 ⊆ Aut C5160C5:1(C2xC4.4D4)320,1148
C5⋊2(C2×C4.4D4) = C2×Dic5.5D4φ: C2×C4.4D4/C2×C22⋊C4 → C2 ⊆ Aut C5160C5:2(C2xC4.4D4)320,1163
C5⋊3(C2×C4.4D4) = D5×C4.4D4φ: C2×C4.4D4/C4.4D4 → C2 ⊆ Aut C580C5:3(C2xC4.4D4)320,1345
C5⋊4(C2×C4.4D4) = C2×C20.17D4φ: C2×C4.4D4/C22×D4 → C2 ⊆ Aut C5160C5:4(C2xC4.4D4)320,1469
C5⋊5(C2×C4.4D4) = C2×C20.23D4φ: C2×C4.4D4/C22×Q8 → C2 ⊆ Aut C5160C5:5(C2xC4.4D4)320,1486


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