Extensions 1→N→G→Q→1 with N=C5 and Q=C3×Q8⋊C4

Direct product G=N×Q with N=C5 and Q=C3×Q8⋊C4
dρLabelID
C15×Q8⋊C4480C15xQ8:C4480,206

Semidirect products G=N:Q with N=C5 and Q=C3×Q8⋊C4
extensionφ:Q→Aut NdρLabelID
C5⋊(C3×Q8⋊C4) = C3×Q8⋊F5φ: C3×Q8⋊C4/C3×Q8C4 ⊆ Aut C51208C5:(C3xQ8:C4)480,289
C52(C3×Q8⋊C4) = C3×C10.Q16φ: C3×Q8⋊C4/C3×C4⋊C4C2 ⊆ Aut C5480C5:2(C3xQ8:C4)480,88
C53(C3×Q8⋊C4) = C3×C20.44D4φ: C3×Q8⋊C4/C2×C24C2 ⊆ Aut C5480C5:3(C3xQ8:C4)480,94
C54(C3×Q8⋊C4) = C3×Q8⋊Dic5φ: C3×Q8⋊C4/C6×Q8C2 ⊆ Aut C5480C5:4(C3xQ8:C4)480,113


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