Extensions 1→N→G→Q→1 with N=C5 and Q=C2×Q8⋊C4

Direct product G=N×Q with N=C5 and Q=C2×Q8⋊C4
dρLabelID
C10×Q8⋊C4320C10xQ8:C4320,916

Semidirect products G=N:Q with N=C5 and Q=C2×Q8⋊C4
extensionφ:Q→Aut NdρLabelID
C5⋊(C2×Q8⋊C4) = C2×Q8⋊F5φ: C2×Q8⋊C4/C2×Q8C4 ⊆ Aut C580C5:(C2xQ8:C4)320,1119
C52(C2×Q8⋊C4) = D5×Q8⋊C4φ: C2×Q8⋊C4/Q8⋊C4C2 ⊆ Aut C5160C5:2(C2xQ8:C4)320,428
C53(C2×Q8⋊C4) = C2×C10.Q16φ: C2×Q8⋊C4/C2×C4⋊C4C2 ⊆ Aut C5320C5:3(C2xQ8:C4)320,596
C54(C2×Q8⋊C4) = C2×C20.44D4φ: C2×Q8⋊C4/C22×C8C2 ⊆ Aut C5320C5:4(C2xQ8:C4)320,730
C55(C2×Q8⋊C4) = C2×Q8⋊Dic5φ: C2×Q8⋊C4/C22×Q8C2 ⊆ Aut C5320C5:5(C2xQ8:C4)320,851


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