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

Direct product G=N×Q with N=C5 and Q=C2×C4⋊C4
dρLabelID
C10×C4⋊C4160C10xC4:C4160,177

Semidirect products G=N:Q with N=C5 and Q=C2×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C5⋊(C2×C4⋊C4) = C2×C4⋊F5φ: C2×C4⋊C4/C2×C4C4 ⊆ Aut C540C5:(C2xC4:C4)160,204
C52(C2×C4⋊C4) = D5×C4⋊C4φ: C2×C4⋊C4/C4⋊C4C2 ⊆ Aut C580C5:2(C2xC4:C4)160,112
C53(C2×C4⋊C4) = C2×C10.D4φ: C2×C4⋊C4/C22×C4C2 ⊆ Aut C5160C5:3(C2xC4:C4)160,144
C54(C2×C4⋊C4) = C2×C4⋊Dic5φ: C2×C4⋊C4/C22×C4C2 ⊆ Aut C5160C5:4(C2xC4:C4)160,146


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