Extensions 1→N→G→Q→1 with N=C2xC6 and Q=C40

Direct product G=NxQ with N=C2xC6 and Q=C40
dρLabelID
C22xC120480C2^2xC120480,934

Semidirect products G=N:Q with N=C2xC6 and Q=C40
extensionφ:Q→Aut NdρLabelID
(C2xC6):1C40 = C15xC22:C8φ: C40/C20C2 ⊆ Aut C2xC6240(C2xC6):1C40480,201
(C2xC6):2C40 = C5xC12.55D4φ: C40/C20C2 ⊆ Aut C2xC6240(C2xC6):2C40480,149
(C2xC6):3C40 = C2xC10xC3:C8φ: C40/C20C2 ⊆ Aut C2xC6480(C2xC6):3C40480,799

Non-split extensions G=N.Q with N=C2xC6 and Q=C40
extensionφ:Q→Aut NdρLabelID
(C2xC6).1C40 = C15xM5(2)φ: C40/C20C2 ⊆ Aut C2xC62402(C2xC6).1C40480,213
(C2xC6).2C40 = C10xC3:C16φ: C40/C20C2 ⊆ Aut C2xC6480(C2xC6).2C40480,130
(C2xC6).3C40 = C5xC12.C8φ: C40/C20C2 ⊆ Aut C2xC62402(C2xC6).3C40480,131

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