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Extensions 1→N→G→Q→1 with N=C5 and Q=C12.48D4

Direct product G=N×Q with N=C5 and Q=C12.48D4
dρLabelID
C5×C12.48D4240C5xC12.48D4480,803

Semidirect products G=N:Q with N=C5 and Q=C12.48D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(C12.48D4) = D10⋊Dic6φ: C12.48D4/Dic3⋊C4 → C2 ⊆ Aut C5240C5:1(C12.48D4)480,425
C5⋊2(C12.48D4) = C60.68D4φ: C12.48D4/C4⋊Dic3 → C2 ⊆ Aut C5240C5:2(C12.48D4)480,436
C5⋊3(C12.48D4) = (C2×C30)⋊Q8φ: C12.48D4/C6.D4 → C2 ⊆ Aut C5240C5:3(C12.48D4)480,650
C5⋊4(C12.48D4) = C60.67D4φ: C12.48D4/C2×Dic6 → C2 ⊆ Aut C5240C5:4(C12.48D4)480,435
C5⋊5(C12.48D4) = C60.205D4φ: C12.48D4/C22×C12 → C2 ⊆ Aut C5240C5:5(C12.48D4)480,889


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