Extensions 1→N→G→Q→1 with N=C5 and Q=C2×C3⋊C16

Direct product G=N×Q with N=C5 and Q=C2×C3⋊C16
dρLabelID
C10×C3⋊C16480C10xC3:C16480,130

Semidirect products G=N:Q with N=C5 and Q=C2×C3⋊C16
extensionφ:Q→Aut NdρLabelID
C5⋊1(C2×C3⋊C16) = C24.F5φ: C2×C3⋊C16/C24 → C4 ⊆ Aut C52404C5:1(C2xC3:C16)480,294
C5⋊2(C2×C3⋊C16) = C2×C15⋊C16φ: C2×C3⋊C16/C2×C12 → C4 ⊆ Aut C5480C5:2(C2xC3:C16)480,302
C5⋊3(C2×C3⋊C16) = D5×C3⋊C16φ: C2×C3⋊C16/C3⋊C16 → C2 ⊆ Aut C52404C5:3(C2xC3:C16)480,7
C5⋊4(C2×C3⋊C16) = C2×C15⋊3C16φ: C2×C3⋊C16/C2×C24 → C2 ⊆ Aut C5480C5:4(C2xC3:C16)480,171


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