Extensions 1→N→G→Q→1 with N=C3xC6 and Q=C2

Direct product G=NxQ with N=C3xC6 and Q=C2
dρLabelID
C6236C6^236,14

Semidirect products G=N:Q with N=C3xC6 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C3xC6):1C2 = S3xC6φ: C2/C1C2 ⊆ Aut C3xC6122(C3xC6):1C236,12
(C3xC6):2C2 = C2xC3:S3φ: C2/C1C2 ⊆ Aut C3xC618(C3xC6):2C236,13

Non-split extensions G=N.Q with N=C3xC6 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C3xC6).1C2 = C3xDic3φ: C2/C1C2 ⊆ Aut C3xC6122(C3xC6).1C236,6
(C3xC6).2C2 = C3:Dic3φ: C2/C1C2 ⊆ Aut C3xC636(C3xC6).2C236,7

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