Extensions 1→N→G→Q→1 with N=C22xC62 and Q=C2

Direct product G=NxQ with N=C22xC62 and Q=C2
dρLabelID
C23xC62496C2^3xC62496,42

Semidirect products G=N:Q with N=C22xC62 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22xC62):1C2 = D4xC62φ: C2/C1C2 ⊆ Aut C22xC62248(C2^2xC62):1C2496,38
(C22xC62):2C2 = C2xC31:D4φ: C2/C1C2 ⊆ Aut C22xC62248(C2^2xC62):2C2496,36
(C22xC62):3C2 = C23xD31φ: C2/C1C2 ⊆ Aut C22xC62248(C2^2xC62):3C2496,41

Non-split extensions G=N.Q with N=C22xC62 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22xC62).1C2 = C22:C4xC31φ: C2/C1C2 ⊆ Aut C22xC62248(C2^2xC62).1C2496,20
(C22xC62).2C2 = C23.D31φ: C2/C1C2 ⊆ Aut C22xC62248(C2^2xC62).2C2496,18
(C22xC62).3C2 = C22xDic31φ: C2/C1C2 ⊆ Aut C22xC62496(C2^2xC62).3C2496,35

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