Extensions 1→N→G→Q→1 with N=C4 and Q=C5×C3⋊C8

Direct product G=N×Q with N=C4 and Q=C5×C3⋊C8
dρLabelID
C20×C3⋊C8480C20xC3:C8480,121

Semidirect products G=N:Q with N=C4 and Q=C5×C3⋊C8
extensionφ:Q→Aut NdρLabelID
C4⋊(C5×C3⋊C8) = C5×C12⋊C8φ: C5×C3⋊C8/C60C2 ⊆ Aut C4480C4:(C5xC3:C8)480,123

Non-split extensions G=N.Q with N=C4 and Q=C5×C3⋊C8
extensionφ:Q→Aut NdρLabelID
C4.(C5×C3⋊C8) = C5×C12.C8φ: C5×C3⋊C8/C60C2 ⊆ Aut C42402C4.(C5xC3:C8)480,131
C4.2(C5×C3⋊C8) = C5×C3⋊C32central extension (φ=1)4802C4.2(C5xC3:C8)480,1
C4.3(C5×C3⋊C8) = C10×C3⋊C16central extension (φ=1)480C4.3(C5xC3:C8)480,130

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