Extensions 1→N→G→Q→1 with N=C5 and Q=C22×C3⋊C8

Direct product G=N×Q with N=C5 and Q=C22×C3⋊C8
dρLabelID
C2×C10×C3⋊C8480C2xC10xC3:C8480,799

Semidirect products G=N:Q with N=C5 and Q=C22×C3⋊C8
extensionφ:Q→Aut NdρLabelID
C51(C22×C3⋊C8) = C2×C60.C4φ: C22×C3⋊C8/C2×C12C4 ⊆ Aut C5240C5:1(C2^2xC3:C8)480,1060
C52(C22×C3⋊C8) = C22×C15⋊C8φ: C22×C3⋊C8/C22×C6C4 ⊆ Aut C5480C5:2(C2^2xC3:C8)480,1070
C53(C22×C3⋊C8) = C2×D5×C3⋊C8φ: C22×C3⋊C8/C2×C3⋊C8C2 ⊆ Aut C5240C5:3(C2^2xC3:C8)480,357
C54(C22×C3⋊C8) = C22×C153C8φ: C22×C3⋊C8/C22×C12C2 ⊆ Aut C5480C5:4(C2^2xC3:C8)480,885


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