Extensions 1→N→G→Q→1 with N=C53 and Q=C2×C4

Direct product G=N×Q with N=C53 and Q=C2×C4
dρLabelID
C2×C212424C2xC212424,9

Semidirect products G=N:Q with N=C53 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C53⋊(C2×C4) = C2×C53⋊C4φ: C2×C4/C2 → C4 ⊆ Aut C531064+C53:(C2xC4)424,12
C53⋊2(C2×C4) = C4×D53φ: C2×C4/C4 → C2 ⊆ Aut C532122C53:2(C2xC4)424,5
C53⋊3(C2×C4) = C2×Dic53φ: C2×C4/C22 → C2 ⊆ Aut C53424C53:3(C2xC4)424,7


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