Extensions 1→N→G→Q→1 with N=C2xC6 and Q=C10

Direct product G=NxQ with N=C2xC6 and Q=C10
dρLabelID
C22xC30120C2^2xC30120,47

Semidirect products G=N:Q with N=C2xC6 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C2xC6):1C10 = D4xC15φ: C10/C5C2 ⊆ Aut C2xC6602(C2xC6):1C10120,32
(C2xC6):2C10 = C5xC3:D4φ: C10/C5C2 ⊆ Aut C2xC6602(C2xC6):2C10120,25
(C2xC6):3C10 = S3xC2xC10φ: C10/C5C2 ⊆ Aut C2xC660(C2xC6):3C10120,45

Non-split extensions G=N.Q with N=C2xC6 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C2xC6).C10 = C10xDic3φ: C10/C5C2 ⊆ Aut C2xC6120(C2xC6).C10120,24

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