Extensions 1→N→G→Q→1 with N=C2xC6 and Q=C4

Direct product G=NxQ with N=C2xC6 and Q=C4
dρLabelID
C22xC1248C2^2xC1248,44

Semidirect products G=N:Q with N=C2xC6 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2xC6):1C4 = C3xC22:C4φ: C4/C2C2 ⊆ Aut C2xC624(C2xC6):1C448,21
(C2xC6):2C4 = C6.D4φ: C4/C2C2 ⊆ Aut C2xC624(C2xC6):2C448,19
(C2xC6):3C4 = C22xDic3φ: C4/C2C2 ⊆ Aut C2xC648(C2xC6):3C448,42

Non-split extensions G=N.Q with N=C2xC6 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2xC6).1C4 = C3xM4(2)φ: C4/C2C2 ⊆ Aut C2xC6242(C2xC6).1C448,24
(C2xC6).2C4 = C2xC3:C8φ: C4/C2C2 ⊆ Aut C2xC648(C2xC6).2C448,9
(C2xC6).3C4 = C4.Dic3φ: C4/C2C2 ⊆ Aut C2xC6242(C2xC6).3C448,10

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